TSTP Solution File: HWV051_5 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV051_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 02:14:48 EDT 2022
% Result : Theorem 13.70s 8.86s
% Output : Proof 21.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV051_5 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 31 22:35:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 13.70/8.86 % SZS status Theorem
% 13.70/8.86 % SZS output start Proof
% 13.70/8.86 tff(v84_type, type, (
% 13.70/8.86 v84: ( state_type * $int ) > $o)).
% 13.70/8.86 tff(tptp_fun_VarCurr_0_type, type, (
% 13.70/8.86 tptp_fun_VarCurr_0: state_type)).
% 13.70/8.86 tff(v117_type, type, (
% 13.70/8.86 v117: state_type > $o)).
% 13.70/8.86 tff(v114_type, type, (
% 13.70/8.86 v114: state_type > $o)).
% 13.70/8.86 tff(v124_type, type, (
% 13.70/8.86 v124: ( state_type * $int ) > $o)).
% 13.70/8.86 tff(v121_type, type, (
% 13.70/8.86 v121: ( state_type * $int ) > $o)).
% 13.70/8.86 tff(constB49_type, type, (
% 13.70/8.86 constB49: state_type)).
% 13.70/8.86 tff(v162_type, type, (
% 13.70/8.86 v162: state_type > $o)).
% 13.70/8.86 tff(v128_type, type, (
% 13.70/8.86 v128: state_type > $o)).
% 13.70/8.86 tff(v169_type, type, (
% 13.70/8.86 v169: state_type > $o)).
% 13.70/8.86 tff(v168_type, type, (
% 13.70/8.86 v168: state_type > $o)).
% 13.70/8.86 tff(v82_type, type, (
% 13.70/8.86 v82: state_type > $o)).
% 13.70/8.86 tff(reachableState_type, type, (
% 13.70/8.86 reachableState: state_type > $o)).
% 13.70/8.86 tff(v160_type, type, (
% 13.70/8.86 v160: state_type > $o)).
% 13.70/8.86 tff(constB48_type, type, (
% 13.70/8.86 constB48: state_type)).
% 13.70/8.86 tff(nextState_type, type, (
% 13.70/8.86 nextState: ( state_type * state_type ) > $o)).
% 13.70/8.86 tff(v164_type, type, (
% 13.70/8.86 v164: state_type > $o)).
% 13.70/8.86 tff(v163_type, type, (
% 13.70/8.86 v163: state_type > $o)).
% 13.70/8.86 tff(v155_type, type, (
% 13.70/8.86 v155: state_type > $o)).
% 13.70/8.86 tff(v130_type, type, (
% 13.70/8.86 v130: state_type > $o)).
% 13.70/8.86 tff(v143_type, type, (
% 13.70/8.86 v143: state_type > $o)).
% 13.70/8.86 tff(v141_type, type, (
% 13.70/8.86 v141: state_type > $o)).
% 13.70/8.86 tff(v9_type, type, (
% 13.70/8.86 v9: state_type > $o)).
% 13.70/8.86 tff(v39_type, type, (
% 13.70/8.86 v39: state_type > $o)).
% 13.70/8.86 tff(v1_type, type, (
% 13.70/8.86 v1: state_type > $o)).
% 13.70/8.86 tff(v139_type, type, (
% 13.70/8.86 v139: state_type > $o)).
% 13.70/8.86 tff(constB47_type, type, (
% 13.70/8.86 constB47: state_type)).
% 13.70/8.86 tff(v140_type, type, (
% 13.70/8.86 v140: state_type > $o)).
% 13.70/8.86 tff(v26_type, type, (
% 13.70/8.86 v26: state_type > $o)).
% 13.70/8.86 tff(v13_type, type, (
% 13.70/8.86 v13: state_type > $o)).
% 13.70/8.86 tff(v6_type, type, (
% 13.70/8.86 v6: state_type > $o)).
% 13.70/8.86 tff(v21_type, type, (
% 13.70/8.86 v21: state_type > $o)).
% 13.70/8.86 tff(v20_type, type, (
% 13.70/8.86 v20: state_type > $o)).
% 13.70/8.86 tff(v19_type, type, (
% 13.70/8.86 v19: state_type > $o)).
% 13.70/8.86 tff(v22_type, type, (
% 13.70/8.86 v22: state_type > $o)).
% 13.70/8.86 tff(v18_type, type, (
% 13.70/8.86 v18: state_type > $o)).
% 13.70/8.86 tff(v4_type, type, (
% 13.70/8.86 v4: state_type > $o)).
% 13.70/8.86 tff(v152_type, type, (
% 13.70/8.86 v152: state_type > $o)).
% 13.70/8.86 tff(v150_type, type, (
% 13.70/8.86 v150: state_type > $o)).
% 13.70/8.86 tff(constB46_type, type, (
% 13.70/8.86 constB46: state_type)).
% 13.70/8.86 tff(v154_type, type, (
% 13.70/8.86 v154: state_type > $o)).
% 13.70/8.86 tff(v153_type, type, (
% 13.70/8.86 v153: state_type > $o)).
% 13.70/8.86 tff(v132_type, type, (
% 13.70/8.86 v132: state_type > $o)).
% 13.70/8.86 tff(constB45_type, type, (
% 13.70/8.86 constB45: state_type)).
% 13.70/8.86 tff(v137_type, type, (
% 13.70/8.86 v137: state_type > $o)).
% 13.70/8.86 tff(v135_type, type, (
% 13.70/8.86 v135: state_type > $o)).
% 13.70/8.86 tff(constB44_type, type, (
% 13.70/8.86 constB44: state_type)).
% 13.70/8.86 tff(v142_type, type, (
% 13.70/8.86 v142: state_type > $o)).
% 13.70/8.86 tff(v138_type, type, (
% 13.70/8.86 v138: state_type > $o)).
% 13.70/8.86 tff(v144_type, type, (
% 13.70/8.86 v144: state_type > $o)).
% 13.70/8.86 tff(v145_type, type, (
% 13.70/8.86 v145: state_type > $o)).
% 13.70/8.86 tff(constB43_type, type, (
% 13.70/8.86 constB43: state_type)).
% 13.70/8.86 tff(constB42_type, type, (
% 13.70/8.86 constB42: state_type)).
% 13.70/8.86 tff(v94_type, type, (
% 13.70/8.86 v94: state_type > $o)).
% 13.70/8.86 tff(v104_type, type, (
% 13.70/8.86 v104: state_type > $o)).
% 13.70/8.86 tff(v95_type, type, (
% 13.70/8.86 v95: state_type > $o)).
% 13.70/8.86 tff(v96_type, type, (
% 13.70/8.86 v96: state_type > $o)).
% 13.70/8.86 tff(v123_type, type, (
% 13.70/8.86 v123: ( state_type * $int ) > $o)).
% 13.70/8.86 tff(constB41_type, type, (
% 13.70/8.86 constB41: state_type)).
% 13.70/8.86 tff(v105_type, type, (
% 13.70/8.86 v105: state_type > $o)).
% 13.70/8.86 tff(v116_type, type, (
% 13.70/8.86 v116: state_type > $o)).
% 13.70/8.86 tff(constB40_type, type, (
% 13.70/8.86 constB40: state_type)).
% 13.70/8.86 tff(constB39_type, type, (
% 13.70/8.86 constB39: state_type)).
% 13.70/8.86 tff(v115_type, type, (
% 13.70/8.86 v115: state_type > $o)).
% 13.70/8.86 tff(constB38_type, type, (
% 13.70/8.86 constB38: state_type)).
% 13.70/8.86 tff(constB37_type, type, (
% 13.70/8.86 constB37: state_type)).
% 13.70/8.86 tff(constB36_type, type, (
% 13.70/8.86 constB36: state_type)).
% 13.70/8.86 tff(constB35_type, type, (
% 13.70/8.86 constB35: state_type)).
% 13.70/8.86 tff(constB34_type, type, (
% 13.70/8.86 constB34: state_type)).
% 13.70/8.86 tff(constB33_type, type, (
% 13.70/8.86 constB33: state_type)).
% 13.70/8.86 tff(constB32_type, type, (
% 13.70/8.86 constB32: state_type)).
% 13.70/8.86 tff(constB31_type, type, (
% 13.70/8.86 constB31: state_type)).
% 13.70/8.86 tff(constB30_type, type, (
% 13.70/8.86 constB30: state_type)).
% 13.70/8.86 tff(constB29_type, type, (
% 13.70/8.86 constB29: state_type)).
% 13.70/8.86 tff(constB28_type, type, (
% 13.70/8.86 constB28: state_type)).
% 13.70/8.86 tff(constB27_type, type, (
% 13.70/8.86 constB27: state_type)).
% 13.70/8.86 tff(constB26_type, type, (
% 13.70/8.86 constB26: state_type)).
% 13.70/8.87 tff(constB25_type, type, (
% 13.70/8.87 constB25: state_type)).
% 13.70/8.87 tff(v113_type, type, (
% 13.70/8.87 v113: state_type > $o)).
% 13.70/8.87 tff(constB24_type, type, (
% 13.70/8.87 constB24: state_type)).
% 13.70/8.87 tff(constB23_type, type, (
% 13.70/8.87 constB23: state_type)).
% 13.70/8.87 tff(constB22_type, type, (
% 13.70/8.87 constB22: state_type)).
% 13.70/8.87 tff(constB21_type, type, (
% 13.70/8.87 constB21: state_type)).
% 13.70/8.87 tff(constB20_type, type, (
% 13.70/8.87 constB20: state_type)).
% 13.70/8.87 tff(constB19_type, type, (
% 13.70/8.87 constB19: state_type)).
% 13.70/8.87 tff(constB18_type, type, (
% 13.70/8.87 constB18: state_type)).
% 13.70/8.87 tff(constB17_type, type, (
% 13.70/8.87 constB17: state_type)).
% 13.70/8.87 tff(constB16_type, type, (
% 13.70/8.87 constB16: state_type)).
% 13.70/8.87 tff(constB15_type, type, (
% 13.70/8.87 constB15: state_type)).
% 13.70/8.87 tff(constB14_type, type, (
% 13.70/8.87 constB14: state_type)).
% 13.70/8.87 tff(constB13_type, type, (
% 13.70/8.87 constB13: state_type)).
% 13.70/8.87 tff(constB12_type, type, (
% 13.70/8.87 constB12: state_type)).
% 13.70/8.87 tff(constB11_type, type, (
% 13.70/8.87 constB11: state_type)).
% 13.70/8.87 tff(constB10_type, type, (
% 13.70/8.87 constB10: state_type)).
% 13.70/8.87 tff(constB9_type, type, (
% 13.70/8.87 constB9: state_type)).
% 13.70/8.87 tff(constB8_type, type, (
% 13.70/8.87 constB8: state_type)).
% 13.70/8.87 tff(constB7_type, type, (
% 13.70/8.87 constB7: state_type)).
% 13.70/8.87 tff(constB6_type, type, (
% 13.70/8.87 constB6: state_type)).
% 13.70/8.87 tff(constB5_type, type, (
% 13.70/8.87 constB5: state_type)).
% 13.70/8.87 tff(constB4_type, type, (
% 13.70/8.87 constB4: state_type)).
% 13.70/8.87 tff(constB3_type, type, (
% 13.70/8.87 constB3: state_type)).
% 13.70/8.87 tff(constB2_type, type, (
% 13.70/8.87 constB2: state_type)).
% 13.70/8.87 tff(constB1_type, type, (
% 13.70/8.87 constB1: state_type)).
% 13.70/8.87 tff(constB0_type, type, (
% 13.70/8.87 constB0: state_type)).
% 13.70/8.87 tff(v98_type, type, (
% 13.70/8.87 v98: state_type > $o)).
% 13.70/8.87 tff(v102_type, type, (
% 13.70/8.87 v102: state_type > $o)).
% 13.70/8.87 tff(v106_type, type, (
% 13.70/8.87 v106: state_type > $o)).
% 13.70/8.87 tff(v120_type, type, (
% 13.70/8.87 v120: state_type > $o)).
% 13.70/8.87 tff(v107_type, type, (
% 13.70/8.87 v107: state_type > $o)).
% 13.70/8.87 tff(v119_type, type, (
% 13.70/8.87 v119: state_type > $o)).
% 13.70/8.87 tff(v108_type, type, (
% 13.70/8.87 v108: state_type > $o)).
% 13.70/8.87 tff(v118_type, type, (
% 13.70/8.87 v118: state_type > $o)).
% 13.70/8.87 tff(v109_type, type, (
% 13.70/8.87 v109: state_type > $o)).
% 13.70/8.87 tff(v110_type, type, (
% 13.70/8.87 v110: state_type > $o)).
% 13.70/8.87 tff(v111_type, type, (
% 13.70/8.87 v111: state_type > $o)).
% 13.70/8.87 tff(v112_type, type, (
% 13.70/8.87 v112: state_type > $o)).
% 13.70/8.87 tff(constB107_type, type, (
% 13.70/8.87 constB107: state_type)).
% 13.70/8.87 tff(constB106_type, type, (
% 13.70/8.87 constB106: state_type)).
% 13.70/8.87 tff(constB105_type, type, (
% 13.70/8.87 constB105: state_type)).
% 13.70/8.87 tff(constB104_type, type, (
% 13.70/8.87 constB104: state_type)).
% 13.70/8.87 tff(constB103_type, type, (
% 13.70/8.87 constB103: state_type)).
% 13.70/8.87 tff(constB102_type, type, (
% 13.70/8.87 constB102: state_type)).
% 13.70/8.87 tff(constB101_type, type, (
% 13.70/8.87 constB101: state_type)).
% 13.70/8.87 tff(constB100_type, type, (
% 13.70/8.87 constB100: state_type)).
% 13.70/8.87 tff(constB99_type, type, (
% 13.70/8.87 constB99: state_type)).
% 13.70/8.87 tff(constB98_type, type, (
% 13.70/8.87 constB98: state_type)).
% 13.70/8.87 tff(constB97_type, type, (
% 13.70/8.87 constB97: state_type)).
% 13.70/8.87 tff(constB96_type, type, (
% 13.70/8.87 constB96: state_type)).
% 13.70/8.87 tff(constB95_type, type, (
% 13.70/8.87 constB95: state_type)).
% 13.70/8.87 tff(constB94_type, type, (
% 13.70/8.87 constB94: state_type)).
% 13.70/8.87 tff(constB93_type, type, (
% 13.70/8.87 constB93: state_type)).
% 13.70/8.87 tff(constB92_type, type, (
% 13.70/8.87 constB92: state_type)).
% 13.70/8.87 tff(constB91_type, type, (
% 13.70/8.87 constB91: state_type)).
% 13.70/8.87 tff(constB90_type, type, (
% 13.70/8.87 constB90: state_type)).
% 13.70/8.87 tff(constB89_type, type, (
% 13.70/8.87 constB89: state_type)).
% 13.70/8.87 tff(constB88_type, type, (
% 13.70/8.87 constB88: state_type)).
% 13.70/8.87 tff(constB87_type, type, (
% 13.70/8.87 constB87: state_type)).
% 13.70/8.87 tff(constB86_type, type, (
% 13.70/8.87 constB86: state_type)).
% 13.70/8.87 tff(constB85_type, type, (
% 13.70/8.87 constB85: state_type)).
% 13.70/8.87 tff(constB84_type, type, (
% 13.70/8.87 constB84: state_type)).
% 13.70/8.87 tff(constB83_type, type, (
% 13.70/8.87 constB83: state_type)).
% 13.70/8.87 tff(constB82_type, type, (
% 13.70/8.87 constB82: state_type)).
% 13.70/8.87 tff(constB81_type, type, (
% 13.70/8.87 constB81: state_type)).
% 13.70/8.87 tff(constB80_type, type, (
% 13.70/8.87 constB80: state_type)).
% 13.70/8.87 tff(constB79_type, type, (
% 13.70/8.87 constB79: state_type)).
% 13.70/8.87 tff(constB78_type, type, (
% 13.70/8.87 constB78: state_type)).
% 13.70/8.87 tff(constB77_type, type, (
% 13.70/8.87 constB77: state_type)).
% 13.70/8.87 tff(constB76_type, type, (
% 13.70/8.87 constB76: state_type)).
% 13.70/8.87 tff(constB75_type, type, (
% 13.70/8.87 constB75: state_type)).
% 13.70/8.87 tff(constB74_type, type, (
% 13.70/8.87 constB74: state_type)).
% 13.70/8.87 tff(constB73_type, type, (
% 13.70/8.87 constB73: state_type)).
% 13.70/8.87 tff(constB72_type, type, (
% 13.70/8.87 constB72: state_type)).
% 13.70/8.87 tff(constB71_type, type, (
% 13.70/8.87 constB71: state_type)).
% 13.70/8.87 tff(constB70_type, type, (
% 13.70/8.87 constB70: state_type)).
% 13.70/8.87 tff(constB69_type, type, (
% 13.70/8.87 constB69: state_type)).
% 13.70/8.87 tff(constB68_type, type, (
% 13.70/8.87 constB68: state_type)).
% 13.70/8.87 tff(constB67_type, type, (
% 13.70/8.87 constB67: state_type)).
% 13.70/8.87 tff(constB66_type, type, (
% 13.70/8.87 constB66: state_type)).
% 13.70/8.87 tff(constB65_type, type, (
% 13.70/8.87 constB65: state_type)).
% 13.70/8.87 tff(constB64_type, type, (
% 13.70/8.87 constB64: state_type)).
% 13.70/8.87 tff(constB63_type, type, (
% 13.70/8.87 constB63: state_type)).
% 13.70/8.87 tff(constB62_type, type, (
% 13.70/8.87 constB62: state_type)).
% 13.70/8.87 tff(constB61_type, type, (
% 13.70/8.87 constB61: state_type)).
% 13.70/8.87 tff(constB60_type, type, (
% 13.70/8.87 constB60: state_type)).
% 13.70/8.87 tff(constB59_type, type, (
% 13.70/8.87 constB59: state_type)).
% 13.70/8.87 tff(constB58_type, type, (
% 13.70/8.87 constB58: state_type)).
% 13.70/8.87 tff(constB57_type, type, (
% 13.70/8.87 constB57: state_type)).
% 13.70/8.87 tff(constB56_type, type, (
% 13.70/8.87 constB56: state_type)).
% 13.70/8.87 tff(constB55_type, type, (
% 13.70/8.87 constB55: state_type)).
% 13.70/8.87 tff(constB54_type, type, (
% 13.70/8.87 constB54: state_type)).
% 13.70/8.87 tff(constB53_type, type, (
% 13.70/8.87 constB53: state_type)).
% 13.70/8.87 tff(constB52_type, type, (
% 13.70/8.87 constB52: state_type)).
% 13.70/8.87 tff(constB51_type, type, (
% 13.70/8.87 constB51: state_type)).
% 13.70/8.87 tff(constB50_type, type, (
% 13.70/8.87 constB50: state_type)).
% 13.70/8.87 tff(constB167_type, type, (
% 13.70/8.87 constB167: state_type)).
% 13.70/8.87 tff(constB166_type, type, (
% 13.70/8.87 constB166: state_type)).
% 13.70/8.87 tff(constB165_type, type, (
% 13.70/8.87 constB165: state_type)).
% 13.70/8.87 tff(constB164_type, type, (
% 13.70/8.87 constB164: state_type)).
% 13.70/8.87 tff(constB163_type, type, (
% 13.70/8.87 constB163: state_type)).
% 13.70/8.87 tff(constB162_type, type, (
% 13.70/8.87 constB162: state_type)).
% 13.70/8.87 tff(constB161_type, type, (
% 13.70/8.87 constB161: state_type)).
% 13.70/8.87 tff(constB160_type, type, (
% 13.70/8.87 constB160: state_type)).
% 13.70/8.87 tff(constB159_type, type, (
% 13.70/8.87 constB159: state_type)).
% 13.70/8.87 tff(constB158_type, type, (
% 13.70/8.87 constB158: state_type)).
% 13.70/8.87 tff(constB157_type, type, (
% 13.70/8.87 constB157: state_type)).
% 13.70/8.87 tff(constB156_type, type, (
% 13.70/8.87 constB156: state_type)).
% 13.70/8.87 tff(constB155_type, type, (
% 13.70/8.87 constB155: state_type)).
% 13.70/8.87 tff(constB154_type, type, (
% 13.70/8.87 constB154: state_type)).
% 13.70/8.87 tff(constB153_type, type, (
% 13.70/8.87 constB153: state_type)).
% 13.70/8.87 tff(constB152_type, type, (
% 13.70/8.87 constB152: state_type)).
% 13.70/8.87 tff(constB151_type, type, (
% 13.70/8.87 constB151: state_type)).
% 13.70/8.87 tff(constB150_type, type, (
% 13.70/8.87 constB150: state_type)).
% 13.70/8.87 tff(constB149_type, type, (
% 13.70/8.87 constB149: state_type)).
% 13.70/8.87 tff(constB148_type, type, (
% 13.70/8.87 constB148: state_type)).
% 13.70/8.87 tff(constB147_type, type, (
% 13.70/8.87 constB147: state_type)).
% 13.70/8.87 tff(constB146_type, type, (
% 13.70/8.87 constB146: state_type)).
% 13.70/8.87 tff(constB145_type, type, (
% 13.70/8.87 constB145: state_type)).
% 13.70/8.87 tff(constB144_type, type, (
% 13.70/8.87 constB144: state_type)).
% 13.70/8.87 tff(constB143_type, type, (
% 13.70/8.87 constB143: state_type)).
% 13.70/8.87 tff(constB142_type, type, (
% 13.70/8.87 constB142: state_type)).
% 13.70/8.87 tff(constB141_type, type, (
% 13.70/8.87 constB141: state_type)).
% 13.70/8.87 tff(constB140_type, type, (
% 13.70/8.87 constB140: state_type)).
% 13.70/8.87 tff(constB139_type, type, (
% 13.70/8.87 constB139: state_type)).
% 13.70/8.87 tff(constB138_type, type, (
% 13.70/8.87 constB138: state_type)).
% 13.70/8.87 tff(constB137_type, type, (
% 13.70/8.87 constB137: state_type)).
% 13.70/8.87 tff(constB136_type, type, (
% 13.70/8.87 constB136: state_type)).
% 13.70/8.87 tff(constB135_type, type, (
% 13.70/8.87 constB135: state_type)).
% 13.70/8.87 tff(constB134_type, type, (
% 13.70/8.87 constB134: state_type)).
% 13.70/8.87 tff(constB133_type, type, (
% 13.70/8.87 constB133: state_type)).
% 13.70/8.87 tff(constB132_type, type, (
% 13.70/8.87 constB132: state_type)).
% 13.70/8.87 tff(constB131_type, type, (
% 13.70/8.87 constB131: state_type)).
% 13.70/8.87 tff(constB130_type, type, (
% 13.70/8.87 constB130: state_type)).
% 13.70/8.87 tff(constB129_type, type, (
% 13.70/8.87 constB129: state_type)).
% 13.70/8.87 tff(constB128_type, type, (
% 13.70/8.87 constB128: state_type)).
% 13.70/8.87 tff(constB127_type, type, (
% 13.70/8.87 constB127: state_type)).
% 13.70/8.87 tff(constB126_type, type, (
% 13.70/8.87 constB126: state_type)).
% 13.70/8.87 tff(constB125_type, type, (
% 13.70/8.87 constB125: state_type)).
% 13.70/8.87 tff(constB124_type, type, (
% 13.70/8.87 constB124: state_type)).
% 13.70/8.87 tff(constB123_type, type, (
% 13.70/8.87 constB123: state_type)).
% 13.70/8.87 tff(constB122_type, type, (
% 13.70/8.87 constB122: state_type)).
% 13.70/8.87 tff(constB121_type, type, (
% 13.70/8.87 constB121: state_type)).
% 13.70/8.87 tff(constB120_type, type, (
% 13.70/8.87 constB120: state_type)).
% 13.70/8.87 tff(constB119_type, type, (
% 13.70/8.87 constB119: state_type)).
% 13.70/8.87 tff(constB118_type, type, (
% 13.70/8.87 constB118: state_type)).
% 13.70/8.87 tff(constB117_type, type, (
% 13.70/8.87 constB117: state_type)).
% 13.70/8.87 tff(constB116_type, type, (
% 13.70/8.87 constB116: state_type)).
% 13.70/8.87 tff(constB115_type, type, (
% 13.70/8.87 constB115: state_type)).
% 13.70/8.87 tff(constB114_type, type, (
% 13.70/8.87 constB114: state_type)).
% 13.70/8.87 tff(constB113_type, type, (
% 13.70/8.87 constB113: state_type)).
% 13.70/8.87 tff(constB112_type, type, (
% 13.70/8.87 constB112: state_type)).
% 13.70/8.87 tff(constB111_type, type, (
% 13.70/8.87 constB111: state_type)).
% 13.70/8.87 tff(constB110_type, type, (
% 13.70/8.87 constB110: state_type)).
% 13.70/8.87 tff(constB109_type, type, (
% 13.70/8.87 constB109: state_type)).
% 13.70/8.87 tff(constB108_type, type, (
% 13.70/8.87 constB108: state_type)).
% 13.70/8.87 tff(constB189_type, type, (
% 13.70/8.87 constB189: state_type)).
% 13.70/8.87 tff(constB188_type, type, (
% 13.70/8.87 constB188: state_type)).
% 13.70/8.87 tff(constB187_type, type, (
% 13.70/8.87 constB187: state_type)).
% 13.70/8.87 tff(constB186_type, type, (
% 13.70/8.87 constB186: state_type)).
% 13.70/8.87 tff(constB185_type, type, (
% 13.70/8.87 constB185: state_type)).
% 13.70/8.87 tff(constB184_type, type, (
% 13.70/8.87 constB184: state_type)).
% 13.70/8.87 tff(constB183_type, type, (
% 13.70/8.87 constB183: state_type)).
% 13.70/8.87 tff(constB182_type, type, (
% 13.70/8.87 constB182: state_type)).
% 13.70/8.87 tff(constB181_type, type, (
% 13.70/8.87 constB181: state_type)).
% 13.70/8.87 tff(constB180_type, type, (
% 13.70/8.87 constB180: state_type)).
% 13.70/8.87 tff(constB179_type, type, (
% 13.70/8.87 constB179: state_type)).
% 13.70/8.87 tff(constB178_type, type, (
% 13.70/8.87 constB178: state_type)).
% 13.70/8.87 tff(constB177_type, type, (
% 13.70/8.87 constB177: state_type)).
% 13.70/8.87 tff(constB176_type, type, (
% 13.70/8.87 constB176: state_type)).
% 13.70/8.87 tff(constB175_type, type, (
% 13.70/8.87 constB175: state_type)).
% 13.70/8.87 tff(constB174_type, type, (
% 13.70/8.87 constB174: state_type)).
% 13.70/8.87 tff(constB173_type, type, (
% 13.70/8.87 constB173: state_type)).
% 13.70/8.87 tff(constB172_type, type, (
% 13.70/8.87 constB172: state_type)).
% 13.70/8.87 tff(constB171_type, type, (
% 13.70/8.87 constB171: state_type)).
% 13.70/8.87 tff(constB170_type, type, (
% 13.70/8.87 constB170: state_type)).
% 13.70/8.87 tff(constB169_type, type, (
% 13.70/8.87 constB169: state_type)).
% 13.70/8.87 tff(constB168_type, type, (
% 13.70/8.87 constB168: state_type)).
% 13.70/8.87 tff(constB199_type, type, (
% 13.70/8.87 constB199: state_type)).
% 13.70/8.87 tff(constB198_type, type, (
% 13.70/8.87 constB198: state_type)).
% 13.70/8.87 tff(constB197_type, type, (
% 13.70/8.87 constB197: state_type)).
% 13.70/8.87 tff(constB196_type, type, (
% 13.70/8.87 constB196: state_type)).
% 13.70/8.87 tff(constB195_type, type, (
% 13.70/8.87 constB195: state_type)).
% 13.70/8.87 tff(constB194_type, type, (
% 13.70/8.87 constB194: state_type)).
% 13.70/8.87 tff(constB193_type, type, (
% 13.70/8.87 constB193: state_type)).
% 13.70/8.87 tff(constB192_type, type, (
% 13.70/8.87 constB192: state_type)).
% 13.70/8.87 tff(constB191_type, type, (
% 13.70/8.87 constB191: state_type)).
% 13.70/8.87 tff(constB190_type, type, (
% 13.70/8.87 constB190: state_type)).
% 13.70/8.87 tff(v172_type, type, (
% 13.70/8.87 v172: state_type > $o)).
% 13.70/8.87 tff(v171_type, type, (
% 13.70/8.87 v171: state_type > $o)).
% 13.70/8.87 tff(v170_type, type, (
% 13.70/8.87 v170: state_type > $o)).
% 13.70/8.87 tff(constB200_type, type, (
% 13.70/8.87 constB200: state_type)).
% 13.70/8.87 tff(1,assumption,(constB49 = VarCurr!0), introduced(assumption)).
% 13.70/8.87 tff(2,plain,
% 13.70/8.87 (v162(constB49) <=> v162(VarCurr!0)),
% 13.70/8.87 inference(monotonicity,[status(thm)],[1])).
% 13.70/8.87 tff(3,plain,
% 13.70/8.87 (v162(VarCurr!0) <=> v162(constB49)),
% 13.70/8.87 inference(symmetry,[status(thm)],[2])).
% 13.70/8.87 tff(4,plain,
% 13.70/8.87 (^[VarNext: state_type] : refl((v128(VarNext) <=> v162(VarNext)) <=> (v128(VarNext) <=> v162(VarNext)))),
% 13.70/8.87 inference(bind,[status(th)],[])).
% 13.70/8.87 tff(5,plain,
% 13.70/8.87 (![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext)) <=> ![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))),
% 13.70/8.87 inference(quant_intro,[status(thm)],[4])).
% 13.70/8.87 tff(6,plain,
% 13.70/8.87 (![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext)) <=> ![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))),
% 13.70/8.87 inference(rewrite,[status(thm)],[])).
% 13.70/8.87 tff(7,plain,
% 13.70/8.87 (^[VarNext: state_type] : rewrite(($true => (v128(VarNext) <=> v162(VarNext))) <=> (v128(VarNext) <=> v162(VarNext)))),
% 13.70/8.87 inference(bind,[status(th)],[])).
% 13.70/8.87 tff(8,plain,
% 13.70/8.87 (![VarNext: state_type] : ($true => (v128(VarNext) <=> v162(VarNext))) <=> ![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))),
% 13.70/8.87 inference(quant_intro,[status(thm)],[7])).
% 13.70/8.87 tff(9,axiom,(![VarNext: state_type] : ($true => (v128(VarNext) <=> v162(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_6')).
% 13.70/8.87 tff(10,plain,
% 13.70/8.87 (![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[9, 8])).
% 13.70/8.87 tff(11,plain,
% 13.70/8.87 (![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[10, 6])).
% 13.70/8.87 tff(12,plain,(
% 13.70/8.87 ![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))),
% 13.70/8.87 inference(skolemize,[status(sab)],[11])).
% 13.70/8.87 tff(13,plain,
% 13.70/8.87 (![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[12, 5])).
% 13.70/8.87 tff(14,plain,
% 13.70/8.87 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(VarCurr!0) <=> v162(VarCurr!0))),
% 13.70/8.87 inference(quant_inst,[status(thm)],[])).
% 13.70/8.87 tff(15,plain,
% 13.70/8.87 (v128(VarCurr!0) <=> v162(VarCurr!0)),
% 13.70/8.87 inference(unit_resolution,[status(thm)],[14, 13])).
% 13.70/8.87 tff(16,plain,
% 13.70/8.87 (^[VarCurr: state_type] : refl((v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr))))) <=> (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr))))))),
% 13.70/8.87 inference(bind,[status(th)],[])).
% 13.70/8.87 tff(17,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr))))) <=> ![VarCurr: state_type] : (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr)))))),
% 13.70/8.87 inference(quant_intro,[status(thm)],[16])).
% 13.70/8.87 tff(18,plain,
% 13.70/8.87 (^[VarCurr: state_type] : rewrite((v168(VarCurr) <=> (v169(VarCurr) & v128(VarCurr))) <=> (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr))))))),
% 13.70/8.87 inference(bind,[status(th)],[])).
% 13.70/8.87 tff(19,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v168(VarCurr) <=> (v169(VarCurr) & v128(VarCurr))) <=> ![VarCurr: state_type] : (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr)))))),
% 13.70/8.87 inference(quant_intro,[status(thm)],[18])).
% 13.70/8.87 tff(20,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v168(VarCurr) <=> (v169(VarCurr) & v128(VarCurr))) <=> ![VarCurr: state_type] : (v168(VarCurr) <=> (v169(VarCurr) & v128(VarCurr)))),
% 13.70/8.87 inference(rewrite,[status(thm)],[])).
% 13.70/8.87 tff(21,axiom,(![VarCurr: state_type] : (v168(VarCurr) <=> (v169(VarCurr) & v128(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43')).
% 13.70/8.87 tff(22,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v168(VarCurr) <=> (v169(VarCurr) & v128(VarCurr)))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[21, 20])).
% 13.70/8.87 tff(23,plain,(
% 13.70/8.87 ![VarCurr: state_type] : (v168(VarCurr) <=> (v169(VarCurr) & v128(VarCurr)))),
% 13.70/8.87 inference(skolemize,[status(sab)],[22])).
% 13.70/8.87 tff(24,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr)))))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[23, 19])).
% 13.70/8.87 tff(25,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr)))))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[24, 17])).
% 13.70/8.87 tff(26,plain,
% 13.70/8.87 ((~![VarCurr: state_type] : (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr)))))) | (v168(VarCurr!0) <=> (~((~v169(VarCurr!0)) | (~v128(VarCurr!0)))))),
% 13.70/8.87 inference(quant_inst,[status(thm)],[])).
% 13.70/8.87 tff(27,plain,
% 13.70/8.87 (v168(VarCurr!0) <=> (~((~v169(VarCurr!0)) | (~v128(VarCurr!0))))),
% 13.70/8.87 inference(unit_resolution,[status(thm)],[26, 25])).
% 13.70/8.87 tff(28,plain,
% 13.70/8.87 (^[VarCurr: state_type] : refl(((~v82(VarCurr)) <=> v168(VarCurr)) <=> ((~v82(VarCurr)) <=> v168(VarCurr)))),
% 13.70/8.87 inference(bind,[status(th)],[])).
% 13.70/8.87 tff(29,plain,
% 13.70/8.87 (![VarCurr: state_type] : ((~v82(VarCurr)) <=> v168(VarCurr)) <=> ![VarCurr: state_type] : ((~v82(VarCurr)) <=> v168(VarCurr))),
% 13.70/8.87 inference(quant_intro,[status(thm)],[28])).
% 13.70/8.87 tff(30,plain,
% 13.70/8.87 (![VarCurr: state_type] : ((~v82(VarCurr)) <=> v168(VarCurr)) <=> ![VarCurr: state_type] : ((~v82(VarCurr)) <=> v168(VarCurr))),
% 13.70/8.87 inference(rewrite,[status(thm)],[])).
% 13.70/8.87 tff(31,axiom,(![VarCurr: state_type] : ((~v82(VarCurr)) <=> v168(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_17')).
% 13.70/8.87 tff(32,plain,
% 13.70/8.87 (![VarCurr: state_type] : ((~v82(VarCurr)) <=> v168(VarCurr))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[31, 30])).
% 13.70/8.87 tff(33,plain,(
% 13.70/8.87 ![VarCurr: state_type] : ((~v82(VarCurr)) <=> v168(VarCurr))),
% 13.70/8.87 inference(skolemize,[status(sab)],[32])).
% 13.70/8.87 tff(34,plain,
% 13.70/8.87 (![VarCurr: state_type] : ((~v82(VarCurr)) <=> v168(VarCurr))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[33, 29])).
% 13.70/8.87 tff(35,plain,
% 13.70/8.87 ((~![VarCurr: state_type] : ((~v82(VarCurr)) <=> v168(VarCurr))) | ((~v82(VarCurr!0)) <=> v168(VarCurr!0))),
% 13.70/8.87 inference(quant_inst,[status(thm)],[])).
% 13.70/8.87 tff(36,plain,
% 13.70/8.87 ((~v82(VarCurr!0)) <=> v168(VarCurr!0)),
% 13.70/8.87 inference(unit_resolution,[status(thm)],[35, 34])).
% 13.70/8.87 tff(37,plain,
% 13.70/8.87 ((~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))) <=> (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 13.70/8.87 inference(rewrite,[status(thm)],[])).
% 13.70/8.87 tff(38,plain,
% 13.70/8.87 ((~![VarCurr: state_type] : (reachableState(VarCurr) => v82(VarCurr))) <=> (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 13.70/8.87 inference(rewrite,[status(thm)],[])).
% 13.70/8.87 tff(39,axiom,(~![VarCurr: state_type] : (reachableState(VarCurr) => v82(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssertion')).
% 13.70/8.87 tff(40,plain,
% 13.70/8.87 (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[39, 38])).
% 13.70/8.87 tff(41,plain,
% 13.70/8.87 (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[40, 37])).
% 13.70/8.87 tff(42,plain,
% 13.70/8.87 (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[41, 37])).
% 13.70/8.87 tff(43,plain,
% 13.70/8.87 (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[42, 37])).
% 13.70/8.87 tff(44,plain,
% 13.70/8.87 (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[43, 37])).
% 13.70/8.87 tff(45,plain,
% 13.70/8.87 (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[44, 37])).
% 13.70/8.87 tff(46,plain,
% 13.70/8.87 (~![VarCurr: state_type] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[45, 37])).
% 13.70/8.87 tff(47,plain,(
% 13.70/8.87 ~(v82(VarCurr!0) | (~reachableState(VarCurr!0)))),
% 13.70/8.87 inference(skolemize,[status(sab)],[46])).
% 13.70/8.87 tff(48,plain,
% 13.70/8.87 (~v82(VarCurr!0)),
% 13.70/8.87 inference(or_elim,[status(thm)],[47])).
% 13.70/8.87 tff(49,plain,
% 13.70/8.87 ((~((~v82(VarCurr!0)) <=> v168(VarCurr!0))) | v82(VarCurr!0) | v168(VarCurr!0)),
% 13.70/8.87 inference(tautology,[status(thm)],[])).
% 13.70/8.87 tff(50,plain,
% 13.70/8.87 ((~((~v82(VarCurr!0)) <=> v168(VarCurr!0))) | v168(VarCurr!0)),
% 13.70/8.87 inference(unit_resolution,[status(thm)],[49, 48])).
% 13.70/8.87 tff(51,plain,
% 13.70/8.87 (v168(VarCurr!0)),
% 13.70/8.87 inference(unit_resolution,[status(thm)],[50, 36])).
% 13.70/8.87 tff(52,plain,
% 13.70/8.87 ((~(v168(VarCurr!0) <=> (~((~v169(VarCurr!0)) | (~v128(VarCurr!0)))))) | (~v168(VarCurr!0)) | (~((~v169(VarCurr!0)) | (~v128(VarCurr!0))))),
% 13.70/8.87 inference(tautology,[status(thm)],[])).
% 13.70/8.87 tff(53,plain,
% 13.70/8.87 ((~(v168(VarCurr!0) <=> (~((~v169(VarCurr!0)) | (~v128(VarCurr!0)))))) | (~((~v169(VarCurr!0)) | (~v128(VarCurr!0))))),
% 13.70/8.87 inference(unit_resolution,[status(thm)],[52, 51])).
% 13.70/8.87 tff(54,plain,
% 13.70/8.87 (~((~v169(VarCurr!0)) | (~v128(VarCurr!0)))),
% 13.70/8.87 inference(unit_resolution,[status(thm)],[53, 27])).
% 13.70/8.87 tff(55,plain,
% 13.70/8.87 (((~v169(VarCurr!0)) | (~v128(VarCurr!0))) | v128(VarCurr!0)),
% 13.70/8.87 inference(tautology,[status(thm)],[])).
% 13.70/8.87 tff(56,plain,
% 13.70/8.87 (v128(VarCurr!0)),
% 13.70/8.87 inference(unit_resolution,[status(thm)],[55, 54])).
% 13.70/8.87 tff(57,plain,
% 13.70/8.87 ((~(v128(VarCurr!0) <=> v162(VarCurr!0))) | (~v128(VarCurr!0)) | v162(VarCurr!0)),
% 13.70/8.87 inference(tautology,[status(thm)],[])).
% 13.70/8.87 tff(58,plain,
% 13.70/8.87 ((~(v128(VarCurr!0) <=> v162(VarCurr!0))) | v162(VarCurr!0)),
% 13.70/8.87 inference(unit_resolution,[status(thm)],[57, 56])).
% 13.70/8.87 tff(59,plain,
% 13.70/8.87 (v162(VarCurr!0)),
% 13.70/8.87 inference(unit_resolution,[status(thm)],[58, 15])).
% 13.70/8.87 tff(60,plain,
% 13.70/8.87 (v162(constB49)),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[59, 3])).
% 13.70/8.87 tff(61,plain,
% 13.70/8.87 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr))))),
% 13.70/8.87 inference(bind,[status(th)],[])).
% 13.70/8.87 tff(62,plain,
% 13.70/8.87 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))),
% 13.70/8.87 inference(quant_intro,[status(thm)],[61])).
% 13.70/8.87 tff(63,plain,
% 13.70/8.87 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))),
% 13.70/8.87 inference(rewrite,[status(thm)],[])).
% 13.70/8.87 tff(64,plain,
% 13.70/8.87 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v162(VarNext) <=> v160(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr))))),
% 13.70/8.87 inference(bind,[status(th)],[])).
% 13.70/8.87 tff(65,plain,
% 13.70/8.87 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v162(VarNext) <=> v160(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))),
% 13.70/8.87 inference(quant_intro,[status(thm)],[64])).
% 13.70/8.87 tff(66,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v162(VarNext) <=> v160(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_10')).
% 13.70/8.87 tff(67,plain,
% 13.70/8.87 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[66, 65])).
% 13.70/8.87 tff(68,plain,
% 13.70/8.87 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[67, 63])).
% 13.70/8.87 tff(69,plain,(
% 13.70/8.87 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))),
% 13.70/8.87 inference(skolemize,[status(sab)],[68])).
% 13.70/8.87 tff(70,plain,
% 13.70/8.87 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[69, 62])).
% 13.70/8.87 tff(71,plain,
% 13.70/8.87 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 13.70/8.87 inference(rewrite,[status(thm)],[])).
% 13.70/8.87 tff(72,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_48')).
% 13.70/8.87 tff(73,plain,
% 13.70/8.87 (nextState(constB48, constB49)),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[72, 71])).
% 13.70/8.87 tff(74,plain,
% 13.70/8.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB48, constB49)) | (v162(constB49) <=> v160(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB48, constB49)) | (v162(constB49) <=> v160(constB48)))),
% 13.70/8.87 inference(rewrite,[status(thm)],[])).
% 13.70/8.87 tff(75,plain,
% 13.70/8.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB48, constB49)) | (v162(constB49) <=> v160(constB48)))),
% 13.70/8.87 inference(quant_inst,[status(thm)],[])).
% 13.70/8.87 tff(76,plain,
% 13.70/8.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB48, constB49)) | (v162(constB49) <=> v160(constB48))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[75, 74])).
% 13.70/8.87 tff(77,plain,
% 13.70/8.87 (v162(constB49) <=> v160(constB48)),
% 13.70/8.87 inference(unit_resolution,[status(thm)],[76, 73, 70])).
% 13.70/8.87 tff(78,plain,
% 13.70/8.87 (^[VarCurr: state_type] : refl((v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr))) <=> (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr))))),
% 13.70/8.87 inference(bind,[status(th)],[])).
% 13.70/8.87 tff(79,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr))) <=> ![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))),
% 13.70/8.87 inference(quant_intro,[status(thm)],[78])).
% 13.70/8.87 tff(80,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr))) <=> ![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))),
% 13.70/8.87 inference(rewrite,[status(thm)],[])).
% 13.70/8.87 tff(81,axiom,(![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_40')).
% 13.70/8.87 tff(82,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[81, 80])).
% 13.70/8.87 tff(83,plain,(
% 13.70/8.87 ![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))),
% 13.70/8.87 inference(skolemize,[status(sab)],[82])).
% 13.70/8.87 tff(84,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[83, 79])).
% 13.70/8.87 tff(85,plain,
% 13.70/8.87 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB48) <=> (v163(constB48) | v164(constB48)))),
% 13.70/8.87 inference(quant_inst,[status(thm)],[])).
% 13.70/8.87 tff(86,plain,
% 13.70/8.87 (v160(constB48) <=> (v163(constB48) | v164(constB48))),
% 13.70/8.87 inference(unit_resolution,[status(thm)],[85, 84])).
% 13.70/8.87 tff(87,plain,
% 13.70/8.87 (^[VarCurr: state_type] : refl((v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr))))) <=> (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr))))))),
% 13.70/8.87 inference(bind,[status(th)],[])).
% 13.70/8.87 tff(88,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr))))) <=> ![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))),
% 13.70/8.87 inference(quant_intro,[status(thm)],[87])).
% 13.70/8.87 tff(89,plain,
% 13.70/8.87 (^[VarCurr: state_type] : rewrite((v164(VarCurr) <=> (v155(VarCurr) & v130(VarCurr))) <=> (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr))))))),
% 13.70/8.87 inference(bind,[status(th)],[])).
% 13.70/8.87 tff(90,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v164(VarCurr) <=> (v155(VarCurr) & v130(VarCurr))) <=> ![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))),
% 13.70/8.87 inference(quant_intro,[status(thm)],[89])).
% 13.70/8.87 tff(91,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v164(VarCurr) <=> (v155(VarCurr) & v130(VarCurr))) <=> ![VarCurr: state_type] : (v164(VarCurr) <=> (v155(VarCurr) & v130(VarCurr)))),
% 13.70/8.87 inference(rewrite,[status(thm)],[])).
% 13.70/8.87 tff(92,axiom,(![VarCurr: state_type] : (v164(VarCurr) <=> (v155(VarCurr) & v130(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39')).
% 13.70/8.87 tff(93,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v164(VarCurr) <=> (v155(VarCurr) & v130(VarCurr)))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[92, 91])).
% 13.70/8.87 tff(94,plain,(
% 13.70/8.87 ![VarCurr: state_type] : (v164(VarCurr) <=> (v155(VarCurr) & v130(VarCurr)))),
% 13.70/8.87 inference(skolemize,[status(sab)],[93])).
% 13.70/8.87 tff(95,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[94, 90])).
% 13.70/8.87 tff(96,plain,
% 13.70/8.87 (![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))),
% 13.70/8.87 inference(modus_ponens,[status(thm)],[95, 88])).
% 13.70/8.87 tff(97,plain,
% 13.70/8.87 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v130(constB48)) | (~v155(constB48)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v130(constB48)) | (~v155(constB48))))))),
% 13.70/8.87 inference(rewrite,[status(thm)],[])).
% 13.70/8.87 tff(98,plain,
% 13.70/8.87 ((v164(constB48) <=> (~((~v155(constB48)) | (~v130(constB48))))) <=> (v164(constB48) <=> (~((~v130(constB48)) | (~v155(constB48)))))),
% 13.70/8.87 inference(rewrite,[status(thm)],[])).
% 13.70/8.87 tff(99,plain,
% 13.70/8.87 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v155(constB48)) | (~v130(constB48)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v130(constB48)) | (~v155(constB48))))))),
% 13.70/8.87 inference(monotonicity,[status(thm)],[98])).
% 13.70/8.87 tff(100,plain,
% 13.70/8.87 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v155(constB48)) | (~v130(constB48)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v130(constB48)) | (~v155(constB48))))))),
% 13.70/8.87 inference(transitivity,[status(thm)],[99, 97])).
% 13.70/8.87 tff(101,plain,
% 13.70/8.87 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v155(constB48)) | (~v130(constB48)))))),
% 13.70/8.88 inference(quant_inst,[status(thm)],[])).
% 13.70/8.88 tff(102,plain,
% 13.70/8.88 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v130(constB48)) | (~v155(constB48)))))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[101, 100])).
% 13.70/8.88 tff(103,plain,
% 13.70/8.88 (v164(constB48) <=> (~((~v130(constB48)) | (~v155(constB48))))),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[102, 96])).
% 13.70/8.88 tff(104,plain,
% 13.70/8.88 (^[VarCurr: state_type] : refl((v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr))))) <=> (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr))))))),
% 13.70/8.88 inference(bind,[status(th)],[])).
% 13.70/8.88 tff(105,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr))))) <=> ![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))),
% 13.70/8.88 inference(quant_intro,[status(thm)],[104])).
% 13.70/8.88 tff(106,plain,
% 13.70/8.88 (^[VarCurr: state_type] : rewrite((v155(VarCurr) <=> (v143(VarCurr) & v141(VarCurr))) <=> (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr))))))),
% 13.70/8.88 inference(bind,[status(th)],[])).
% 13.70/8.88 tff(107,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v155(VarCurr) <=> (v143(VarCurr) & v141(VarCurr))) <=> ![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))),
% 13.70/8.88 inference(quant_intro,[status(thm)],[106])).
% 13.70/8.88 tff(108,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v155(VarCurr) <=> (v143(VarCurr) & v141(VarCurr))) <=> ![VarCurr: state_type] : (v155(VarCurr) <=> (v143(VarCurr) & v141(VarCurr)))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(109,axiom,(![VarCurr: state_type] : (v155(VarCurr) <=> (v143(VarCurr) & v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_35')).
% 13.70/8.88 tff(110,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v155(VarCurr) <=> (v143(VarCurr) & v141(VarCurr)))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[109, 108])).
% 13.70/8.88 tff(111,plain,(
% 13.70/8.88 ![VarCurr: state_type] : (v155(VarCurr) <=> (v143(VarCurr) & v141(VarCurr)))),
% 13.70/8.88 inference(skolemize,[status(sab)],[110])).
% 13.70/8.88 tff(112,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[111, 107])).
% 13.70/8.88 tff(113,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[112, 105])).
% 13.70/8.88 tff(114,plain,
% 13.70/8.88 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB48) <=> (~((~v141(constB48)) | (~v143(constB48)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB48) <=> (~((~v141(constB48)) | (~v143(constB48))))))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(115,plain,
% 13.70/8.88 ((v155(constB48) <=> (~((~v143(constB48)) | (~v141(constB48))))) <=> (v155(constB48) <=> (~((~v141(constB48)) | (~v143(constB48)))))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(116,plain,
% 13.70/8.88 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB48) <=> (~((~v143(constB48)) | (~v141(constB48)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB48) <=> (~((~v141(constB48)) | (~v143(constB48))))))),
% 13.70/8.88 inference(monotonicity,[status(thm)],[115])).
% 13.70/8.88 tff(117,plain,
% 13.70/8.88 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB48) <=> (~((~v143(constB48)) | (~v141(constB48)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB48) <=> (~((~v141(constB48)) | (~v143(constB48))))))),
% 13.70/8.88 inference(transitivity,[status(thm)],[116, 114])).
% 13.70/8.88 tff(118,plain,
% 13.70/8.88 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB48) <=> (~((~v143(constB48)) | (~v141(constB48)))))),
% 13.70/8.88 inference(quant_inst,[status(thm)],[])).
% 13.70/8.88 tff(119,plain,
% 13.70/8.88 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB48) <=> (~((~v141(constB48)) | (~v143(constB48)))))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[118, 117])).
% 13.70/8.88 tff(120,plain,
% 13.70/8.88 (v155(constB48) <=> (~((~v141(constB48)) | (~v143(constB48))))),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[119, 113])).
% 13.70/8.88 tff(121,plain,
% 13.70/8.88 (^[VarCurr: state_type] : refl((v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 13.70/8.88 inference(bind,[status(th)],[])).
% 13.70/8.88 tff(122,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> ![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 13.70/8.88 inference(quant_intro,[status(thm)],[121])).
% 13.70/8.88 tff(123,plain,
% 13.70/8.88 (^[VarCurr: state_type] : rewrite((v141(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 13.70/8.88 inference(bind,[status(th)],[])).
% 13.70/8.88 tff(124,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v141(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 13.70/8.88 inference(quant_intro,[status(thm)],[123])).
% 13.70/8.88 tff(125,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v141(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(126,axiom,(![VarCurr: state_type] : (v141(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_28')).
% 13.70/8.88 tff(127,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v141(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[126, 125])).
% 13.70/8.88 tff(128,plain,(
% 13.70/8.88 ![VarCurr: state_type] : (v141(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 13.70/8.88 inference(skolemize,[status(sab)],[127])).
% 13.70/8.88 tff(129,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[128, 124])).
% 13.70/8.88 tff(130,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[129, 122])).
% 13.70/8.88 tff(131,plain,
% 13.70/8.88 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB48) <=> (~((~v39(constB48)) | (~v9(constB48)))))),
% 13.70/8.88 inference(quant_inst,[status(thm)],[])).
% 13.70/8.88 tff(132,plain,
% 13.70/8.88 (v141(constB48) <=> (~((~v39(constB48)) | (~v9(constB48))))),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[131, 130])).
% 13.70/8.88 tff(133,plain,
% 13.70/8.88 (^[VarCurr: state_type] : refl(((~v39(VarCurr)) <=> v1(VarCurr)) <=> ((~v39(VarCurr)) <=> v1(VarCurr)))),
% 13.70/8.88 inference(bind,[status(th)],[])).
% 13.70/8.88 tff(134,plain,
% 13.70/8.88 (![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 13.70/8.88 inference(quant_intro,[status(thm)],[133])).
% 13.70/8.88 tff(135,plain,
% 13.70/8.88 (![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(136,axiom,(![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_3')).
% 13.70/8.88 tff(137,plain,
% 13.70/8.88 (![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[136, 135])).
% 13.70/8.88 tff(138,plain,(
% 13.70/8.88 ![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 13.70/8.88 inference(skolemize,[status(sab)],[137])).
% 13.70/8.88 tff(139,plain,
% 13.70/8.88 (![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[138, 134])).
% 13.70/8.88 tff(140,plain,
% 13.70/8.88 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB48)) <=> v1(constB48))),
% 13.70/8.88 inference(quant_inst,[status(thm)],[])).
% 13.70/8.88 tff(141,plain,
% 13.70/8.88 ((~v39(constB48)) <=> v1(constB48)),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[140, 139])).
% 13.70/8.88 tff(142,plain,
% 13.70/8.88 (v1(constB48) <=> v1(constB48)),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(143,axiom,(v1(constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_48')).
% 13.70/8.88 tff(144,plain,
% 13.70/8.88 (v1(constB48)),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[143, 142])).
% 13.70/8.88 tff(145,plain,
% 13.70/8.88 ((~((~v39(constB48)) <=> v1(constB48))) | (~v39(constB48)) | (~v1(constB48))),
% 13.70/8.88 inference(tautology,[status(thm)],[])).
% 13.70/8.88 tff(146,plain,
% 13.70/8.88 ((~((~v39(constB48)) <=> v1(constB48))) | (~v39(constB48))),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[145, 144])).
% 13.70/8.88 tff(147,plain,
% 13.70/8.88 (~v39(constB48)),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[146, 141])).
% 13.70/8.88 tff(148,plain,
% 13.70/8.88 (((~v39(constB48)) | (~v9(constB48))) | v39(constB48)),
% 13.70/8.88 inference(tautology,[status(thm)],[])).
% 13.70/8.88 tff(149,plain,
% 13.70/8.88 ((~v39(constB48)) | (~v9(constB48))),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[148, 147])).
% 13.70/8.88 tff(150,plain,
% 13.70/8.88 ((~(v141(constB48) <=> (~((~v39(constB48)) | (~v9(constB48)))))) | (~v141(constB48)) | (~((~v39(constB48)) | (~v9(constB48))))),
% 13.70/8.88 inference(tautology,[status(thm)],[])).
% 13.70/8.88 tff(151,plain,
% 13.70/8.88 ((~(v141(constB48) <=> (~((~v39(constB48)) | (~v9(constB48)))))) | (~v141(constB48))),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[150, 149])).
% 13.70/8.88 tff(152,plain,
% 13.70/8.88 (~v141(constB48)),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[151, 132])).
% 13.70/8.88 tff(153,plain,
% 13.70/8.88 (((~v141(constB48)) | (~v143(constB48))) | v141(constB48)),
% 13.70/8.88 inference(tautology,[status(thm)],[])).
% 13.70/8.88 tff(154,plain,
% 13.70/8.88 ((~v141(constB48)) | (~v143(constB48))),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[153, 152])).
% 13.70/8.88 tff(155,plain,
% 13.70/8.88 ((~(v155(constB48) <=> (~((~v141(constB48)) | (~v143(constB48)))))) | (~v155(constB48)) | (~((~v141(constB48)) | (~v143(constB48))))),
% 13.70/8.88 inference(tautology,[status(thm)],[])).
% 13.70/8.88 tff(156,plain,
% 13.70/8.88 ((~(v155(constB48) <=> (~((~v141(constB48)) | (~v143(constB48)))))) | (~v155(constB48))),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[155, 154])).
% 13.70/8.88 tff(157,plain,
% 13.70/8.88 (~v155(constB48)),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[156, 120])).
% 13.70/8.88 tff(158,plain,
% 13.70/8.88 (((~v130(constB48)) | (~v155(constB48))) | v155(constB48)),
% 13.70/8.88 inference(tautology,[status(thm)],[])).
% 13.70/8.88 tff(159,plain,
% 13.70/8.88 ((~v130(constB48)) | (~v155(constB48))),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[158, 157])).
% 13.70/8.88 tff(160,plain,
% 13.70/8.88 ((~(v164(constB48) <=> (~((~v130(constB48)) | (~v155(constB48)))))) | (~v164(constB48)) | (~((~v130(constB48)) | (~v155(constB48))))),
% 13.70/8.88 inference(tautology,[status(thm)],[])).
% 13.70/8.88 tff(161,plain,
% 13.70/8.88 (~v164(constB48)),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[160, 159, 103])).
% 13.70/8.88 tff(162,plain,
% 13.70/8.88 (^[VarCurr: state_type] : refl((v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr))))) <=> (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr))))))),
% 13.70/8.88 inference(bind,[status(th)],[])).
% 13.70/8.88 tff(163,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr))))) <=> ![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))),
% 13.70/8.88 inference(quant_intro,[status(thm)],[162])).
% 13.70/8.88 tff(164,plain,
% 13.70/8.88 (^[VarCurr: state_type] : rewrite((v163(VarCurr) <=> (v139(VarCurr) & v128(VarCurr))) <=> (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr))))))),
% 13.70/8.88 inference(bind,[status(th)],[])).
% 13.70/8.88 tff(165,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v163(VarCurr) <=> (v139(VarCurr) & v128(VarCurr))) <=> ![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))),
% 13.70/8.88 inference(quant_intro,[status(thm)],[164])).
% 13.70/8.88 tff(166,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v163(VarCurr) <=> (v139(VarCurr) & v128(VarCurr))) <=> ![VarCurr: state_type] : (v163(VarCurr) <=> (v139(VarCurr) & v128(VarCurr)))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(167,axiom,(![VarCurr: state_type] : (v163(VarCurr) <=> (v139(VarCurr) & v128(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38')).
% 13.70/8.88 tff(168,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v163(VarCurr) <=> (v139(VarCurr) & v128(VarCurr)))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[167, 166])).
% 13.70/8.88 tff(169,plain,(
% 13.70/8.88 ![VarCurr: state_type] : (v163(VarCurr) <=> (v139(VarCurr) & v128(VarCurr)))),
% 13.70/8.88 inference(skolemize,[status(sab)],[168])).
% 13.70/8.88 tff(170,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[169, 165])).
% 13.70/8.88 tff(171,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[170, 163])).
% 13.70/8.88 tff(172,plain,
% 13.70/8.88 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48))))))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(173,plain,
% 13.70/8.88 ((v163(constB48) <=> (~((~v139(constB48)) | (~v128(constB48))))) <=> (v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48)))))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(174,plain,
% 13.70/8.88 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v139(constB48)) | (~v128(constB48)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48))))))),
% 13.70/8.88 inference(monotonicity,[status(thm)],[173])).
% 13.70/8.88 tff(175,plain,
% 13.70/8.88 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v139(constB48)) | (~v128(constB48)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48))))))),
% 13.70/8.88 inference(transitivity,[status(thm)],[174, 172])).
% 13.70/8.88 tff(176,plain,
% 13.70/8.88 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v139(constB48)) | (~v128(constB48)))))),
% 13.70/8.88 inference(quant_inst,[status(thm)],[])).
% 13.70/8.88 tff(177,plain,
% 13.70/8.88 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48)))))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[176, 175])).
% 13.70/8.88 tff(178,plain,
% 13.70/8.88 (v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48))))),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[177, 171])).
% 13.70/8.88 tff(179,plain,
% 13.70/8.88 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB48) <=> v162(constB48))),
% 13.70/8.88 inference(quant_inst,[status(thm)],[])).
% 13.70/8.88 tff(180,plain,
% 13.70/8.88 (v128(constB48) <=> v162(constB48)),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[179, 13])).
% 13.70/8.88 tff(181,plain,
% 13.70/8.88 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(182,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_47')).
% 13.70/8.88 tff(183,plain,
% 13.70/8.88 (nextState(constB47, constB48)),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[182, 181])).
% 13.70/8.88 tff(184,plain,
% 13.70/8.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB47, constB48)) | (v162(constB48) <=> v160(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB47, constB48)) | (v162(constB48) <=> v160(constB47)))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(185,plain,
% 13.70/8.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB47, constB48)) | (v162(constB48) <=> v160(constB47)))),
% 13.70/8.88 inference(quant_inst,[status(thm)],[])).
% 13.70/8.88 tff(186,plain,
% 13.70/8.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB47, constB48)) | (v162(constB48) <=> v160(constB47))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[185, 184])).
% 13.70/8.88 tff(187,plain,
% 13.70/8.88 (v162(constB48) <=> v160(constB47)),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[186, 183, 70])).
% 13.70/8.88 tff(188,plain,
% 13.70/8.88 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB47) <=> (v163(constB47) | v164(constB47)))),
% 13.70/8.88 inference(quant_inst,[status(thm)],[])).
% 13.70/8.88 tff(189,plain,
% 13.70/8.88 (v160(constB47) <=> (v163(constB47) | v164(constB47))),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[188, 84])).
% 13.70/8.88 tff(190,plain,
% 13.70/8.88 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47))))))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(191,plain,
% 13.70/8.88 ((v163(constB47) <=> (~((~v139(constB47)) | (~v128(constB47))))) <=> (v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47)))))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(192,plain,
% 13.70/8.88 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v139(constB47)) | (~v128(constB47)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47))))))),
% 13.70/8.88 inference(monotonicity,[status(thm)],[191])).
% 13.70/8.88 tff(193,plain,
% 13.70/8.88 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v139(constB47)) | (~v128(constB47)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47))))))),
% 13.70/8.88 inference(transitivity,[status(thm)],[192, 190])).
% 13.70/8.88 tff(194,plain,
% 13.70/8.88 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v139(constB47)) | (~v128(constB47)))))),
% 13.70/8.88 inference(quant_inst,[status(thm)],[])).
% 13.70/8.88 tff(195,plain,
% 13.70/8.88 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47)))))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[194, 193])).
% 13.70/8.88 tff(196,plain,
% 13.70/8.88 (v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47))))),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[195, 171])).
% 13.70/8.88 tff(197,plain,
% 13.70/8.88 (^[VarCurr: state_type] : refl(((~v139(VarCurr)) <=> v140(VarCurr)) <=> ((~v139(VarCurr)) <=> v140(VarCurr)))),
% 13.70/8.88 inference(bind,[status(th)],[])).
% 13.70/8.88 tff(198,plain,
% 13.70/8.88 (![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))),
% 13.70/8.88 inference(quant_intro,[status(thm)],[197])).
% 13.70/8.88 tff(199,plain,
% 13.70/8.88 (![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr)) <=> ![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(200,axiom,(![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_14')).
% 13.70/8.88 tff(201,plain,
% 13.70/8.88 (![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[200, 199])).
% 13.70/8.88 tff(202,plain,(
% 13.70/8.88 ![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))),
% 13.70/8.88 inference(skolemize,[status(sab)],[201])).
% 13.70/8.88 tff(203,plain,
% 13.70/8.88 (![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[202, 198])).
% 13.70/8.88 tff(204,plain,
% 13.70/8.88 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB47)) <=> v140(constB47))),
% 13.70/8.88 inference(quant_inst,[status(thm)],[])).
% 13.70/8.88 tff(205,plain,
% 13.70/8.88 ((~v139(constB47)) <=> v140(constB47)),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[204, 203])).
% 13.70/8.88 tff(206,plain,
% 13.70/8.88 (^[VarCurr: state_type] : refl((v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr))) <=> (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr))))),
% 13.70/8.88 inference(bind,[status(th)],[])).
% 13.70/8.88 tff(207,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr))) <=> ![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))),
% 13.70/8.88 inference(quant_intro,[status(thm)],[206])).
% 13.70/8.88 tff(208,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr))) <=> ![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(209,axiom,(![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_29')).
% 13.70/8.88 tff(210,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[209, 208])).
% 13.70/8.88 tff(211,plain,(
% 13.70/8.88 ![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))),
% 13.70/8.88 inference(skolemize,[status(sab)],[210])).
% 13.70/8.88 tff(212,plain,
% 13.70/8.88 (![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[211, 207])).
% 13.70/8.88 tff(213,plain,
% 13.70/8.88 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB47) <=> (v141(constB47) | v26(constB47)))),
% 13.70/8.88 inference(quant_inst,[status(thm)],[])).
% 13.70/8.88 tff(214,plain,
% 13.70/8.88 (v140(constB47) <=> (v141(constB47) | v26(constB47))),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[213, 212])).
% 13.70/8.88 tff(215,plain,
% 13.70/8.88 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB47) <=> (~((~v39(constB47)) | (~v9(constB47)))))),
% 13.70/8.88 inference(quant_inst,[status(thm)],[])).
% 13.70/8.88 tff(216,plain,
% 13.70/8.88 (v141(constB47) <=> (~((~v39(constB47)) | (~v9(constB47))))),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[215, 130])).
% 13.70/8.88 tff(217,plain,
% 13.70/8.88 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 13.70/8.88 inference(bind,[status(th)],[])).
% 13.70/8.88 tff(218,plain,
% 13.70/8.88 (![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)))),
% 13.70/8.88 inference(quant_intro,[status(thm)],[217])).
% 13.70/8.88 tff(219,plain,
% 13.70/8.88 (![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)))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(220,plain,
% 13.70/8.88 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 13.70/8.88 inference(bind,[status(th)],[])).
% 13.70/8.88 tff(221,plain,
% 13.70/8.88 (![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)))),
% 13.70/8.88 inference(quant_intro,[status(thm)],[220])).
% 13.70/8.88 tff(222,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment')).
% 13.70/8.88 tff(223,plain,
% 13.70/8.88 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[222, 221])).
% 13.70/8.88 tff(224,plain,
% 13.70/8.88 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[223, 219])).
% 13.70/8.88 tff(225,plain,(
% 13.70/8.88 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 13.70/8.88 inference(skolemize,[status(sab)],[224])).
% 13.70/8.88 tff(226,plain,
% 13.70/8.88 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[225, 218])).
% 13.70/8.88 tff(227,plain,
% 13.70/8.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB47, constB48)) | (v13(constB48) <=> v9(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB47, constB48)) | (v13(constB48) <=> v9(constB47)))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(228,plain,
% 13.70/8.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB47, constB48)) | (v13(constB48) <=> v9(constB47)))),
% 13.70/8.88 inference(quant_inst,[status(thm)],[])).
% 13.70/8.88 tff(229,plain,
% 13.70/8.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB47, constB48)) | (v13(constB48) <=> v9(constB47))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[228, 227])).
% 13.70/8.88 tff(230,plain,
% 13.70/8.88 (v13(constB48) <=> v9(constB47)),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[229, 183, 226])).
% 13.70/8.88 tff(231,plain,
% 13.70/8.88 (^[VarNext: state_type] : refl((v6(VarNext) <=> v13(VarNext)) <=> (v6(VarNext) <=> v13(VarNext)))),
% 13.70/8.88 inference(bind,[status(th)],[])).
% 13.70/8.88 tff(232,plain,
% 13.70/8.88 (![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 13.70/8.88 inference(quant_intro,[status(thm)],[231])).
% 13.70/8.88 tff(233,plain,
% 13.70/8.88 (![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(234,plain,
% 13.70/8.88 (^[VarNext: state_type] : rewrite(($true => (v6(VarNext) <=> v13(VarNext))) <=> (v6(VarNext) <=> v13(VarNext)))),
% 13.70/8.88 inference(bind,[status(th)],[])).
% 13.70/8.88 tff(235,plain,
% 13.70/8.88 (![VarNext: state_type] : ($true => (v6(VarNext) <=> v13(VarNext))) <=> ![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 13.70/8.88 inference(quant_intro,[status(thm)],[234])).
% 13.70/8.88 tff(236,axiom,(![VarNext: state_type] : ($true => (v6(VarNext) <=> v13(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch')).
% 13.70/8.88 tff(237,plain,
% 13.70/8.88 (![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[236, 235])).
% 13.70/8.88 tff(238,plain,
% 13.70/8.88 (![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[237, 233])).
% 13.70/8.88 tff(239,plain,(
% 13.70/8.88 ![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 13.70/8.88 inference(skolemize,[status(sab)],[238])).
% 13.70/8.88 tff(240,plain,
% 13.70/8.88 (![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[239, 232])).
% 13.70/8.88 tff(241,plain,
% 13.70/8.88 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB48) <=> v13(constB48))),
% 13.70/8.88 inference(quant_inst,[status(thm)],[])).
% 13.70/8.88 tff(242,plain,
% 13.70/8.88 (v6(constB48) <=> v13(constB48)),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[241, 240])).
% 13.70/8.88 tff(243,plain,
% 13.70/8.88 (^[VarCurr: state_type] : refl(((~v21(VarCurr)) <=> v6(VarCurr)) <=> ((~v21(VarCurr)) <=> v6(VarCurr)))),
% 13.70/8.88 inference(bind,[status(th)],[])).
% 13.70/8.88 tff(244,plain,
% 13.70/8.88 (![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 13.70/8.88 inference(quant_intro,[status(thm)],[243])).
% 13.70/8.88 tff(245,plain,
% 13.70/8.88 (![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 13.70/8.88 inference(rewrite,[status(thm)],[])).
% 13.70/8.88 tff(246,axiom,(![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_1')).
% 13.70/8.88 tff(247,plain,
% 13.70/8.88 (![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[246, 245])).
% 13.70/8.88 tff(248,plain,(
% 13.70/8.88 ![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 13.70/8.88 inference(skolemize,[status(sab)],[247])).
% 13.70/8.88 tff(249,plain,
% 13.70/8.88 (![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 13.70/8.88 inference(modus_ponens,[status(thm)],[248, 244])).
% 13.70/8.88 tff(250,plain,
% 13.70/8.88 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB48)) <=> v6(constB48))),
% 13.70/8.88 inference(quant_inst,[status(thm)],[])).
% 13.70/8.88 tff(251,plain,
% 13.70/8.88 ((~v21(constB48)) <=> v6(constB48)),
% 13.70/8.88 inference(unit_resolution,[status(thm)],[250, 249])).
% 13.70/8.88 tff(252,plain,
% 13.70/8.88 (^[VarCurr: state_type] : refl((v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))))),
% 13.70/8.89 inference(bind,[status(th)],[])).
% 13.70/8.89 tff(253,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 13.70/8.89 inference(quant_intro,[status(thm)],[252])).
% 13.70/8.89 tff(254,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 13.70/8.89 inference(rewrite,[status(thm)],[])).
% 13.70/8.89 tff(255,axiom,(![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges')).
% 13.70/8.89 tff(256,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[255, 254])).
% 13.70/8.89 tff(257,plain,(
% 13.70/8.89 ![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 13.70/8.89 inference(skolemize,[status(sab)],[256])).
% 13.70/8.89 tff(258,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[257, 253])).
% 13.70/8.89 tff(259,plain,
% 13.70/8.89 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB48) <=> (v20(constB48) | v21(constB48)))),
% 13.70/8.89 inference(quant_inst,[status(thm)],[])).
% 13.70/8.89 tff(260,plain,
% 13.70/8.89 (v19(constB48) <=> (v20(constB48) | v21(constB48))),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[259, 258])).
% 13.70/8.89 tff(261,plain,
% 13.70/8.89 (^[VarCurr: state_type] : refl((v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 13.70/8.89 inference(bind,[status(th)],[])).
% 13.70/8.89 tff(262,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> ![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 13.70/8.89 inference(quant_intro,[status(thm)],[261])).
% 13.70/8.89 tff(263,plain,
% 13.70/8.89 (^[VarCurr: state_type] : rewrite((v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 13.70/8.89 inference(bind,[status(th)],[])).
% 13.70/8.89 tff(264,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 13.70/8.89 inference(quant_intro,[status(thm)],[263])).
% 13.70/8.89 tff(265,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 13.70/8.89 inference(rewrite,[status(thm)],[])).
% 13.70/8.89 tff(266,axiom,(![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2')).
% 13.70/8.89 tff(267,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[266, 265])).
% 13.70/8.89 tff(268,plain,(
% 13.70/8.89 ![VarCurr: state_type] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 13.70/8.89 inference(skolemize,[status(sab)],[267])).
% 13.70/8.89 tff(269,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[268, 264])).
% 13.70/8.89 tff(270,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[269, 262])).
% 13.70/8.89 tff(271,plain,
% 13.70/8.89 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB48) <=> (~((~v19(constB48)) | (~v22(constB48)))))),
% 13.70/8.89 inference(quant_inst,[status(thm)],[])).
% 13.70/8.89 tff(272,plain,
% 13.70/8.89 (v18(constB48) <=> (~((~v19(constB48)) | (~v22(constB48))))),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[271, 270])).
% 13.70/8.89 tff(273,plain,
% 13.70/8.89 (^[VarCurr: state_type] : refl(((~v4(VarCurr)) <=> v18(VarCurr)) <=> ((~v4(VarCurr)) <=> v18(VarCurr)))),
% 13.70/8.89 inference(bind,[status(th)],[])).
% 13.70/8.89 tff(274,plain,
% 13.70/8.89 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 13.70/8.89 inference(quant_intro,[status(thm)],[273])).
% 13.70/8.89 tff(275,plain,
% 13.70/8.89 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 13.70/8.89 inference(rewrite,[status(thm)],[])).
% 13.70/8.89 tff(276,axiom,(![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_2')).
% 13.70/8.89 tff(277,plain,
% 13.70/8.89 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[276, 275])).
% 13.70/8.89 tff(278,plain,(
% 13.70/8.89 ![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 13.70/8.89 inference(skolemize,[status(sab)],[277])).
% 13.70/8.89 tff(279,plain,
% 13.70/8.89 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[278, 274])).
% 13.70/8.89 tff(280,plain,
% 13.70/8.89 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB48)) <=> v18(constB48))),
% 13.70/8.89 inference(quant_inst,[status(thm)],[])).
% 13.70/8.89 tff(281,plain,
% 13.70/8.89 ((~v4(constB48)) <=> v18(constB48)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[280, 279])).
% 13.70/8.89 tff(282,plain,
% 13.70/8.89 (^[VarCurr: state_type] : refl(v4(VarCurr) <=> v4(VarCurr))),
% 13.70/8.89 inference(bind,[status(th)],[])).
% 13.70/8.89 tff(283,plain,
% 13.70/8.89 (![VarCurr: state_type] : v4(VarCurr) <=> ![VarCurr: state_type] : v4(VarCurr)),
% 13.70/8.89 inference(quant_intro,[status(thm)],[282])).
% 13.70/8.89 tff(284,plain,
% 13.70/8.89 (![VarCurr: state_type] : v4(VarCurr) <=> ![VarCurr: state_type] : v4(VarCurr)),
% 13.70/8.89 inference(rewrite,[status(thm)],[])).
% 13.70/8.89 tff(285,axiom,(![VarCurr: state_type] : v4(VarCurr)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption')).
% 13.70/8.89 tff(286,plain,
% 13.70/8.89 (![VarCurr: state_type] : v4(VarCurr)),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[285, 284])).
% 13.70/8.89 tff(287,plain,(
% 13.70/8.89 ![VarCurr: state_type] : v4(VarCurr)),
% 13.70/8.89 inference(skolemize,[status(sab)],[286])).
% 13.70/8.89 tff(288,plain,
% 13.70/8.89 (![VarCurr: state_type] : v4(VarCurr)),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[287, 283])).
% 13.70/8.89 tff(289,plain,
% 13.70/8.89 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB48)),
% 13.70/8.89 inference(quant_inst,[status(thm)],[])).
% 13.70/8.89 tff(290,plain,
% 13.70/8.89 (v4(constB48)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[289, 288])).
% 13.70/8.89 tff(291,plain,
% 13.70/8.89 ((~((~v4(constB48)) <=> v18(constB48))) | (~v4(constB48)) | (~v18(constB48))),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(292,plain,
% 13.70/8.89 (~v18(constB48)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[291, 290, 281])).
% 13.70/8.89 tff(293,plain,
% 13.70/8.89 ((~(v18(constB48) <=> (~((~v19(constB48)) | (~v22(constB48)))))) | v18(constB48) | ((~v19(constB48)) | (~v22(constB48)))),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(294,plain,
% 13.70/8.89 ((~v19(constB48)) | (~v22(constB48))),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[293, 292, 272])).
% 13.70/8.89 tff(295,plain,
% 13.70/8.89 (^[VarCurr: state_type] : refl((v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))))),
% 13.70/8.89 inference(bind,[status(th)],[])).
% 13.70/8.89 tff(296,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 13.70/8.89 inference(quant_intro,[status(thm)],[295])).
% 13.70/8.89 tff(297,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 13.70/8.89 inference(rewrite,[status(thm)],[])).
% 13.70/8.89 tff(298,axiom,(![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1')).
% 13.70/8.89 tff(299,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[298, 297])).
% 13.70/8.89 tff(300,plain,(
% 13.70/8.89 ![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 13.70/8.89 inference(skolemize,[status(sab)],[299])).
% 13.70/8.89 tff(301,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[300, 296])).
% 13.70/8.89 tff(302,plain,
% 13.70/8.89 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB48) <=> (v1(constB48) | v6(constB48)))),
% 13.70/8.89 inference(quant_inst,[status(thm)],[])).
% 13.70/8.89 tff(303,plain,
% 13.70/8.89 (v22(constB48) <=> (v1(constB48) | v6(constB48))),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[302, 301])).
% 13.70/8.89 tff(304,plain,
% 13.70/8.89 ((v1(constB48) | v6(constB48)) | (~v1(constB48))),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(305,plain,
% 13.70/8.89 (v1(constB48) | v6(constB48)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[304, 144])).
% 13.70/8.89 tff(306,plain,
% 13.70/8.89 ((~(v22(constB48) <=> (v1(constB48) | v6(constB48)))) | v22(constB48) | (~(v1(constB48) | v6(constB48)))),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(307,plain,
% 13.70/8.89 ((~(v22(constB48) <=> (v1(constB48) | v6(constB48)))) | v22(constB48)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[306, 305])).
% 13.70/8.89 tff(308,plain,
% 13.70/8.89 (v22(constB48)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[307, 303])).
% 13.70/8.89 tff(309,plain,
% 13.70/8.89 ((~((~v19(constB48)) | (~v22(constB48)))) | (~v19(constB48)) | (~v22(constB48))),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(310,plain,
% 13.70/8.89 ((~((~v19(constB48)) | (~v22(constB48)))) | (~v19(constB48))),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[309, 308])).
% 13.70/8.89 tff(311,plain,
% 13.70/8.89 (~v19(constB48)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[310, 294])).
% 13.70/8.89 tff(312,plain,
% 13.70/8.89 ((~(v19(constB48) <=> (v20(constB48) | v21(constB48)))) | v19(constB48) | (~(v20(constB48) | v21(constB48)))),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(313,plain,
% 13.70/8.89 (~(v20(constB48) | v21(constB48))),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[312, 311, 260])).
% 13.70/8.89 tff(314,plain,
% 13.70/8.89 ((v20(constB48) | v21(constB48)) | (~v21(constB48))),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(315,plain,
% 13.70/8.89 (~v21(constB48)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[314, 313])).
% 13.70/8.89 tff(316,plain,
% 13.70/8.89 ((~((~v21(constB48)) <=> v6(constB48))) | v21(constB48) | v6(constB48)),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(317,plain,
% 13.70/8.89 (v6(constB48)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[316, 315, 251])).
% 13.70/8.89 tff(318,plain,
% 13.70/8.89 ((~(v6(constB48) <=> v13(constB48))) | (~v6(constB48)) | v13(constB48)),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(319,plain,
% 13.70/8.89 (v13(constB48)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[318, 317, 242])).
% 13.70/8.89 tff(320,plain,
% 13.70/8.89 ((~(v13(constB48) <=> v9(constB47))) | (~v13(constB48)) | v9(constB47)),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(321,plain,
% 13.70/8.89 (v9(constB47)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[320, 319, 230])).
% 13.70/8.89 tff(322,plain,
% 13.70/8.89 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB47)) <=> v1(constB47))),
% 13.70/8.89 inference(quant_inst,[status(thm)],[])).
% 13.70/8.89 tff(323,plain,
% 13.70/8.89 ((~v39(constB47)) <=> v1(constB47)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[322, 139])).
% 13.70/8.89 tff(324,plain,
% 13.70/8.89 ((~v1(constB47)) <=> (~v1(constB47))),
% 13.70/8.89 inference(rewrite,[status(thm)],[])).
% 13.70/8.89 tff(325,axiom,(~v1(constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_47')).
% 13.70/8.89 tff(326,plain,
% 13.70/8.89 (~v1(constB47)),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[325, 324])).
% 13.70/8.89 tff(327,plain,
% 13.70/8.89 ((~((~v39(constB47)) <=> v1(constB47))) | v39(constB47) | v1(constB47)),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(328,plain,
% 13.70/8.89 ((~((~v39(constB47)) <=> v1(constB47))) | v39(constB47)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[327, 326])).
% 13.70/8.89 tff(329,plain,
% 13.70/8.89 (v39(constB47)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[328, 323])).
% 13.70/8.89 tff(330,plain,
% 13.70/8.89 ((~((~v39(constB47)) | (~v9(constB47)))) | (~v39(constB47)) | (~v9(constB47))),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(331,plain,
% 13.70/8.89 ((~((~v39(constB47)) | (~v9(constB47)))) | (~v9(constB47))),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[330, 329])).
% 13.70/8.89 tff(332,plain,
% 13.70/8.89 (~((~v39(constB47)) | (~v9(constB47)))),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[331, 321])).
% 13.70/8.89 tff(333,plain,
% 13.70/8.89 ((~(v141(constB47) <=> (~((~v39(constB47)) | (~v9(constB47)))))) | v141(constB47) | ((~v39(constB47)) | (~v9(constB47)))),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(334,plain,
% 13.70/8.89 (v141(constB47)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[333, 332, 216])).
% 13.70/8.89 tff(335,plain,
% 13.70/8.89 ((v141(constB47) | v26(constB47)) | (~v141(constB47))),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(336,plain,
% 13.70/8.89 (v141(constB47) | v26(constB47)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[335, 334])).
% 13.70/8.89 tff(337,plain,
% 13.70/8.89 ((~(v140(constB47) <=> (v141(constB47) | v26(constB47)))) | v140(constB47) | (~(v141(constB47) | v26(constB47)))),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(338,plain,
% 13.70/8.89 (v140(constB47)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[337, 336, 214])).
% 13.70/8.89 tff(339,plain,
% 13.70/8.89 ((~((~v139(constB47)) <=> v140(constB47))) | (~v139(constB47)) | (~v140(constB47))),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(340,plain,
% 13.70/8.89 (~v139(constB47)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[339, 338, 205])).
% 13.70/8.89 tff(341,plain,
% 13.70/8.89 (((~v128(constB47)) | (~v139(constB47))) | v139(constB47)),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(342,plain,
% 13.70/8.89 ((~v128(constB47)) | (~v139(constB47))),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[341, 340])).
% 13.70/8.89 tff(343,plain,
% 13.70/8.89 ((~(v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47)))))) | (~v163(constB47)) | (~((~v128(constB47)) | (~v139(constB47))))),
% 13.70/8.89 inference(tautology,[status(thm)],[])).
% 13.70/8.89 tff(344,plain,
% 13.70/8.89 (~v163(constB47)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[343, 342, 196])).
% 13.70/8.89 tff(345,plain,
% 13.70/8.89 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v130(constB47)) | (~v155(constB47)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v130(constB47)) | (~v155(constB47))))))),
% 13.70/8.89 inference(rewrite,[status(thm)],[])).
% 13.70/8.89 tff(346,plain,
% 13.70/8.89 ((v164(constB47) <=> (~((~v155(constB47)) | (~v130(constB47))))) <=> (v164(constB47) <=> (~((~v130(constB47)) | (~v155(constB47)))))),
% 13.70/8.89 inference(rewrite,[status(thm)],[])).
% 13.70/8.89 tff(347,plain,
% 13.70/8.89 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v155(constB47)) | (~v130(constB47)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v130(constB47)) | (~v155(constB47))))))),
% 13.70/8.89 inference(monotonicity,[status(thm)],[346])).
% 13.70/8.89 tff(348,plain,
% 13.70/8.89 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v155(constB47)) | (~v130(constB47)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v130(constB47)) | (~v155(constB47))))))),
% 13.70/8.89 inference(transitivity,[status(thm)],[347, 345])).
% 13.70/8.89 tff(349,plain,
% 13.70/8.89 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v155(constB47)) | (~v130(constB47)))))),
% 13.70/8.89 inference(quant_inst,[status(thm)],[])).
% 13.70/8.89 tff(350,plain,
% 13.70/8.89 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v130(constB47)) | (~v155(constB47)))))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[349, 348])).
% 13.70/8.89 tff(351,plain,
% 13.70/8.89 (v164(constB47) <=> (~((~v130(constB47)) | (~v155(constB47))))),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[350, 96])).
% 13.70/8.89 tff(352,plain,
% 13.70/8.89 (^[VarNext: state_type] : refl((v130(VarNext) <=> v152(VarNext)) <=> (v130(VarNext) <=> v152(VarNext)))),
% 13.70/8.89 inference(bind,[status(th)],[])).
% 13.70/8.89 tff(353,plain,
% 13.70/8.89 (![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext)) <=> ![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))),
% 13.70/8.89 inference(quant_intro,[status(thm)],[352])).
% 13.70/8.89 tff(354,plain,
% 13.70/8.89 (![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext)) <=> ![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))),
% 13.70/8.89 inference(rewrite,[status(thm)],[])).
% 13.70/8.89 tff(355,plain,
% 13.70/8.89 (^[VarNext: state_type] : rewrite(($true => (v130(VarNext) <=> v152(VarNext))) <=> (v130(VarNext) <=> v152(VarNext)))),
% 13.70/8.89 inference(bind,[status(th)],[])).
% 13.70/8.89 tff(356,plain,
% 13.70/8.89 (![VarNext: state_type] : ($true => (v130(VarNext) <=> v152(VarNext))) <=> ![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))),
% 13.70/8.89 inference(quant_intro,[status(thm)],[355])).
% 13.70/8.89 tff(357,axiom,(![VarNext: state_type] : ($true => (v130(VarNext) <=> v152(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5')).
% 13.70/8.89 tff(358,plain,
% 13.70/8.89 (![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[357, 356])).
% 13.70/8.89 tff(359,plain,
% 13.70/8.89 (![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[358, 354])).
% 13.70/8.89 tff(360,plain,(
% 13.70/8.89 ![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))),
% 13.70/8.89 inference(skolemize,[status(sab)],[359])).
% 13.70/8.89 tff(361,plain,
% 13.70/8.89 (![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[360, 353])).
% 13.70/8.89 tff(362,plain,
% 13.70/8.89 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB47) <=> v152(constB47))),
% 13.70/8.89 inference(quant_inst,[status(thm)],[])).
% 13.70/8.89 tff(363,plain,
% 13.70/8.89 (v130(constB47) <=> v152(constB47)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[362, 361])).
% 13.70/8.89 tff(364,plain,
% 13.70/8.89 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr))))),
% 13.70/8.89 inference(bind,[status(th)],[])).
% 13.70/8.89 tff(365,plain,
% 13.70/8.89 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))),
% 13.70/8.89 inference(quant_intro,[status(thm)],[364])).
% 13.70/8.89 tff(366,plain,
% 13.70/8.89 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))),
% 13.70/8.89 inference(rewrite,[status(thm)],[])).
% 13.70/8.89 tff(367,plain,
% 13.70/8.89 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v152(VarNext) <=> v150(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr))))),
% 13.70/8.89 inference(bind,[status(th)],[])).
% 13.70/8.89 tff(368,plain,
% 13.70/8.89 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v152(VarNext) <=> v150(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))),
% 13.70/8.89 inference(quant_intro,[status(thm)],[367])).
% 13.70/8.89 tff(369,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v152(VarNext) <=> v150(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_9')).
% 13.70/8.89 tff(370,plain,
% 13.70/8.89 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[369, 368])).
% 13.70/8.89 tff(371,plain,
% 13.70/8.89 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[370, 366])).
% 13.70/8.89 tff(372,plain,(
% 13.70/8.89 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))),
% 13.70/8.89 inference(skolemize,[status(sab)],[371])).
% 13.70/8.89 tff(373,plain,
% 13.70/8.89 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[372, 365])).
% 13.70/8.89 tff(374,plain,
% 13.70/8.89 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 13.70/8.89 inference(rewrite,[status(thm)],[])).
% 13.70/8.89 tff(375,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_46')).
% 13.70/8.89 tff(376,plain,
% 13.70/8.89 (nextState(constB46, constB47)),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[375, 374])).
% 13.70/8.89 tff(377,plain,
% 13.70/8.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB46, constB47)) | (v152(constB47) <=> v150(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB46, constB47)) | (v152(constB47) <=> v150(constB46)))),
% 13.70/8.89 inference(rewrite,[status(thm)],[])).
% 13.70/8.89 tff(378,plain,
% 13.70/8.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB46, constB47)) | (v152(constB47) <=> v150(constB46)))),
% 13.70/8.89 inference(quant_inst,[status(thm)],[])).
% 13.70/8.89 tff(379,plain,
% 13.70/8.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB46, constB47)) | (v152(constB47) <=> v150(constB46))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[378, 377])).
% 13.70/8.89 tff(380,plain,
% 13.70/8.89 (v152(constB47) <=> v150(constB46)),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[379, 376, 373])).
% 13.70/8.89 tff(381,plain,
% 13.70/8.89 (^[VarCurr: state_type] : refl((v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr))) <=> (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr))))),
% 13.70/8.89 inference(bind,[status(th)],[])).
% 13.70/8.89 tff(382,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr))) <=> ![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))),
% 13.70/8.89 inference(quant_intro,[status(thm)],[381])).
% 13.70/8.89 tff(383,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr))) <=> ![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))),
% 13.70/8.89 inference(rewrite,[status(thm)],[])).
% 13.70/8.89 tff(384,axiom,(![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37')).
% 13.70/8.89 tff(385,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[384, 383])).
% 13.70/8.89 tff(386,plain,(
% 13.70/8.89 ![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))),
% 13.70/8.89 inference(skolemize,[status(sab)],[385])).
% 13.70/8.89 tff(387,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[386, 382])).
% 13.70/8.89 tff(388,plain,
% 13.70/8.89 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB46) <=> (v153(constB46) | v154(constB46)))),
% 13.70/8.89 inference(quant_inst,[status(thm)],[])).
% 13.70/8.89 tff(389,plain,
% 13.70/8.89 (v150(constB46) <=> (v153(constB46) | v154(constB46))),
% 13.70/8.89 inference(unit_resolution,[status(thm)],[388, 387])).
% 13.70/8.89 tff(390,plain,
% 13.70/8.89 (^[VarCurr: state_type] : refl((v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr))))) <=> (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr))))))),
% 13.70/8.89 inference(bind,[status(th)],[])).
% 13.70/8.89 tff(391,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr))))) <=> ![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))),
% 13.70/8.89 inference(quant_intro,[status(thm)],[390])).
% 13.70/8.89 tff(392,plain,
% 13.70/8.89 (^[VarCurr: state_type] : rewrite((v154(VarCurr) <=> (v155(VarCurr) & v132(VarCurr))) <=> (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr))))))),
% 13.70/8.89 inference(bind,[status(th)],[])).
% 13.70/8.89 tff(393,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v154(VarCurr) <=> (v155(VarCurr) & v132(VarCurr))) <=> ![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))),
% 13.70/8.89 inference(quant_intro,[status(thm)],[392])).
% 13.70/8.89 tff(394,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v154(VarCurr) <=> (v155(VarCurr) & v132(VarCurr))) <=> ![VarCurr: state_type] : (v154(VarCurr) <=> (v155(VarCurr) & v132(VarCurr)))),
% 13.70/8.89 inference(rewrite,[status(thm)],[])).
% 13.70/8.89 tff(395,axiom,(![VarCurr: state_type] : (v154(VarCurr) <=> (v155(VarCurr) & v132(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36')).
% 13.70/8.89 tff(396,plain,
% 13.70/8.89 (![VarCurr: state_type] : (v154(VarCurr) <=> (v155(VarCurr) & v132(VarCurr)))),
% 13.70/8.89 inference(modus_ponens,[status(thm)],[395, 394])).
% 13.70/8.89 tff(397,plain,(
% 13.70/8.89 ![VarCurr: state_type] : (v154(VarCurr) <=> (v155(VarCurr) & v132(VarCurr)))),
% 13.70/8.89 inference(skolemize,[status(sab)],[396])).
% 13.70/8.89 tff(398,plain,
% 13.70/8.90 (![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))),
% 13.70/8.90 inference(modus_ponens,[status(thm)],[397, 393])).
% 13.70/8.90 tff(399,plain,
% 13.70/8.90 (![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))),
% 13.70/8.90 inference(modus_ponens,[status(thm)],[398, 391])).
% 13.70/8.90 tff(400,plain,
% 13.70/8.90 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB46) <=> (~((~v132(constB46)) | (~v155(constB46)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB46) <=> (~((~v132(constB46)) | (~v155(constB46))))))),
% 13.70/8.90 inference(rewrite,[status(thm)],[])).
% 13.70/8.90 tff(401,plain,
% 13.70/8.90 ((v154(constB46) <=> (~((~v155(constB46)) | (~v132(constB46))))) <=> (v154(constB46) <=> (~((~v132(constB46)) | (~v155(constB46)))))),
% 13.70/8.90 inference(rewrite,[status(thm)],[])).
% 13.70/8.90 tff(402,plain,
% 13.70/8.90 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB46) <=> (~((~v155(constB46)) | (~v132(constB46)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB46) <=> (~((~v132(constB46)) | (~v155(constB46))))))),
% 13.70/8.90 inference(monotonicity,[status(thm)],[401])).
% 13.70/8.90 tff(403,plain,
% 13.70/8.90 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB46) <=> (~((~v155(constB46)) | (~v132(constB46)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB46) <=> (~((~v132(constB46)) | (~v155(constB46))))))),
% 13.70/8.90 inference(transitivity,[status(thm)],[402, 400])).
% 13.70/8.90 tff(404,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB46) <=> (~((~v155(constB46)) | (~v132(constB46)))))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(405,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB46) <=> (~((~v132(constB46)) | (~v155(constB46)))))),
% 13.70/8.90 inference(modus_ponens,[status(thm)],[404, 403])).
% 13.70/8.90 tff(406,plain,
% 13.70/8.90 (v154(constB46) <=> (~((~v132(constB46)) | (~v155(constB46))))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[405, 399])).
% 13.70/8.90 tff(407,plain,
% 13.70/8.90 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB46) <=> (~((~v141(constB46)) | (~v143(constB46)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB46) <=> (~((~v141(constB46)) | (~v143(constB46))))))),
% 13.70/8.90 inference(rewrite,[status(thm)],[])).
% 13.70/8.90 tff(408,plain,
% 13.70/8.90 ((v155(constB46) <=> (~((~v143(constB46)) | (~v141(constB46))))) <=> (v155(constB46) <=> (~((~v141(constB46)) | (~v143(constB46)))))),
% 13.70/8.90 inference(rewrite,[status(thm)],[])).
% 13.70/8.90 tff(409,plain,
% 13.70/8.90 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB46) <=> (~((~v143(constB46)) | (~v141(constB46)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB46) <=> (~((~v141(constB46)) | (~v143(constB46))))))),
% 13.70/8.90 inference(monotonicity,[status(thm)],[408])).
% 13.70/8.90 tff(410,plain,
% 13.70/8.90 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB46) <=> (~((~v143(constB46)) | (~v141(constB46)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB46) <=> (~((~v141(constB46)) | (~v143(constB46))))))),
% 13.70/8.90 inference(transitivity,[status(thm)],[409, 407])).
% 13.70/8.90 tff(411,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB46) <=> (~((~v143(constB46)) | (~v141(constB46)))))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(412,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB46) <=> (~((~v141(constB46)) | (~v143(constB46)))))),
% 13.70/8.90 inference(modus_ponens,[status(thm)],[411, 410])).
% 13.70/8.90 tff(413,plain,
% 13.70/8.90 (v155(constB46) <=> (~((~v141(constB46)) | (~v143(constB46))))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[412, 113])).
% 13.70/8.90 tff(414,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB46) <=> (~((~v39(constB46)) | (~v9(constB46)))))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(415,plain,
% 13.70/8.90 (v141(constB46) <=> (~((~v39(constB46)) | (~v9(constB46))))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[414, 130])).
% 13.70/8.90 tff(416,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB46)) <=> v1(constB46))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(417,plain,
% 13.70/8.90 ((~v39(constB46)) <=> v1(constB46)),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[416, 139])).
% 13.70/8.90 tff(418,plain,
% 13.70/8.90 (v1(constB46) <=> v1(constB46)),
% 13.70/8.90 inference(rewrite,[status(thm)],[])).
% 13.70/8.90 tff(419,axiom,(v1(constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_46')).
% 13.70/8.90 tff(420,plain,
% 13.70/8.90 (v1(constB46)),
% 13.70/8.90 inference(modus_ponens,[status(thm)],[419, 418])).
% 13.70/8.90 tff(421,plain,
% 13.70/8.90 ((~((~v39(constB46)) <=> v1(constB46))) | (~v39(constB46)) | (~v1(constB46))),
% 13.70/8.90 inference(tautology,[status(thm)],[])).
% 13.70/8.90 tff(422,plain,
% 13.70/8.90 ((~((~v39(constB46)) <=> v1(constB46))) | (~v39(constB46))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[421, 420])).
% 13.70/8.90 tff(423,plain,
% 13.70/8.90 (~v39(constB46)),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[422, 417])).
% 13.70/8.90 tff(424,plain,
% 13.70/8.90 (((~v39(constB46)) | (~v9(constB46))) | v39(constB46)),
% 13.70/8.90 inference(tautology,[status(thm)],[])).
% 13.70/8.90 tff(425,plain,
% 13.70/8.90 ((~v39(constB46)) | (~v9(constB46))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[424, 423])).
% 13.70/8.90 tff(426,plain,
% 13.70/8.90 ((~(v141(constB46) <=> (~((~v39(constB46)) | (~v9(constB46)))))) | (~v141(constB46)) | (~((~v39(constB46)) | (~v9(constB46))))),
% 13.70/8.90 inference(tautology,[status(thm)],[])).
% 13.70/8.90 tff(427,plain,
% 13.70/8.90 ((~(v141(constB46) <=> (~((~v39(constB46)) | (~v9(constB46)))))) | (~v141(constB46))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[426, 425])).
% 13.70/8.90 tff(428,plain,
% 13.70/8.90 (~v141(constB46)),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[427, 415])).
% 13.70/8.90 tff(429,plain,
% 13.70/8.90 (((~v141(constB46)) | (~v143(constB46))) | v141(constB46)),
% 13.70/8.90 inference(tautology,[status(thm)],[])).
% 13.70/8.90 tff(430,plain,
% 13.70/8.90 ((~v141(constB46)) | (~v143(constB46))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[429, 428])).
% 13.70/8.90 tff(431,plain,
% 13.70/8.90 ((~(v155(constB46) <=> (~((~v141(constB46)) | (~v143(constB46)))))) | (~v155(constB46)) | (~((~v141(constB46)) | (~v143(constB46))))),
% 13.70/8.90 inference(tautology,[status(thm)],[])).
% 13.70/8.90 tff(432,plain,
% 13.70/8.90 ((~(v155(constB46) <=> (~((~v141(constB46)) | (~v143(constB46)))))) | (~v155(constB46))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[431, 430])).
% 13.70/8.90 tff(433,plain,
% 13.70/8.90 (~v155(constB46)),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[432, 413])).
% 13.70/8.90 tff(434,plain,
% 13.70/8.90 (((~v132(constB46)) | (~v155(constB46))) | v155(constB46)),
% 13.70/8.90 inference(tautology,[status(thm)],[])).
% 13.70/8.90 tff(435,plain,
% 13.70/8.90 ((~v132(constB46)) | (~v155(constB46))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[434, 433])).
% 13.70/8.90 tff(436,plain,
% 13.70/8.90 ((~(v154(constB46) <=> (~((~v132(constB46)) | (~v155(constB46)))))) | (~v154(constB46)) | (~((~v132(constB46)) | (~v155(constB46))))),
% 13.70/8.90 inference(tautology,[status(thm)],[])).
% 13.70/8.90 tff(437,plain,
% 13.70/8.90 (~v154(constB46)),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[436, 435, 406])).
% 13.70/8.90 tff(438,plain,
% 13.70/8.90 (^[VarCurr: state_type] : refl((v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr))))) <=> (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr))))))),
% 13.70/8.90 inference(bind,[status(th)],[])).
% 13.70/8.90 tff(439,plain,
% 13.70/8.90 (![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr))))) <=> ![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))),
% 13.70/8.90 inference(quant_intro,[status(thm)],[438])).
% 13.70/8.90 tff(440,plain,
% 13.70/8.90 (^[VarCurr: state_type] : rewrite((v153(VarCurr) <=> (v139(VarCurr) & v130(VarCurr))) <=> (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr))))))),
% 13.70/8.90 inference(bind,[status(th)],[])).
% 13.70/8.90 tff(441,plain,
% 13.70/8.90 (![VarCurr: state_type] : (v153(VarCurr) <=> (v139(VarCurr) & v130(VarCurr))) <=> ![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))),
% 13.70/8.90 inference(quant_intro,[status(thm)],[440])).
% 13.70/8.90 tff(442,plain,
% 13.70/8.90 (![VarCurr: state_type] : (v153(VarCurr) <=> (v139(VarCurr) & v130(VarCurr))) <=> ![VarCurr: state_type] : (v153(VarCurr) <=> (v139(VarCurr) & v130(VarCurr)))),
% 13.70/8.90 inference(rewrite,[status(thm)],[])).
% 13.70/8.90 tff(443,axiom,(![VarCurr: state_type] : (v153(VarCurr) <=> (v139(VarCurr) & v130(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_34')).
% 13.70/8.90 tff(444,plain,
% 13.70/8.90 (![VarCurr: state_type] : (v153(VarCurr) <=> (v139(VarCurr) & v130(VarCurr)))),
% 13.70/8.90 inference(modus_ponens,[status(thm)],[443, 442])).
% 13.70/8.90 tff(445,plain,(
% 13.70/8.90 ![VarCurr: state_type] : (v153(VarCurr) <=> (v139(VarCurr) & v130(VarCurr)))),
% 13.70/8.90 inference(skolemize,[status(sab)],[444])).
% 13.70/8.90 tff(446,plain,
% 13.70/8.90 (![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))),
% 13.70/8.90 inference(modus_ponens,[status(thm)],[445, 441])).
% 13.70/8.90 tff(447,plain,
% 13.70/8.90 (![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))),
% 13.70/8.90 inference(modus_ponens,[status(thm)],[446, 439])).
% 13.70/8.90 tff(448,plain,
% 13.70/8.90 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB46) <=> (~((~v130(constB46)) | (~v139(constB46)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB46) <=> (~((~v130(constB46)) | (~v139(constB46))))))),
% 13.70/8.90 inference(rewrite,[status(thm)],[])).
% 13.70/8.90 tff(449,plain,
% 13.70/8.90 ((v153(constB46) <=> (~((~v139(constB46)) | (~v130(constB46))))) <=> (v153(constB46) <=> (~((~v130(constB46)) | (~v139(constB46)))))),
% 13.70/8.90 inference(rewrite,[status(thm)],[])).
% 13.70/8.90 tff(450,plain,
% 13.70/8.90 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB46) <=> (~((~v139(constB46)) | (~v130(constB46)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB46) <=> (~((~v130(constB46)) | (~v139(constB46))))))),
% 13.70/8.90 inference(monotonicity,[status(thm)],[449])).
% 13.70/8.90 tff(451,plain,
% 13.70/8.90 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB46) <=> (~((~v139(constB46)) | (~v130(constB46)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB46) <=> (~((~v130(constB46)) | (~v139(constB46))))))),
% 13.70/8.90 inference(transitivity,[status(thm)],[450, 448])).
% 13.70/8.90 tff(452,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB46) <=> (~((~v139(constB46)) | (~v130(constB46)))))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(453,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB46) <=> (~((~v130(constB46)) | (~v139(constB46)))))),
% 13.70/8.90 inference(modus_ponens,[status(thm)],[452, 451])).
% 13.70/8.90 tff(454,plain,
% 13.70/8.90 (v153(constB46) <=> (~((~v130(constB46)) | (~v139(constB46))))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[453, 447])).
% 13.70/8.90 tff(455,plain,
% 13.70/8.90 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB46) <=> v152(constB46))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(456,plain,
% 13.70/8.90 (v130(constB46) <=> v152(constB46)),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[455, 361])).
% 13.70/8.90 tff(457,plain,
% 13.70/8.90 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 13.70/8.90 inference(rewrite,[status(thm)],[])).
% 13.70/8.90 tff(458,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_45')).
% 13.70/8.90 tff(459,plain,
% 13.70/8.90 (nextState(constB45, constB46)),
% 13.70/8.90 inference(modus_ponens,[status(thm)],[458, 457])).
% 13.70/8.90 tff(460,plain,
% 13.70/8.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB45, constB46)) | (v152(constB46) <=> v150(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB45, constB46)) | (v152(constB46) <=> v150(constB45)))),
% 13.70/8.90 inference(rewrite,[status(thm)],[])).
% 13.70/8.90 tff(461,plain,
% 13.70/8.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB45, constB46)) | (v152(constB46) <=> v150(constB45)))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(462,plain,
% 13.70/8.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB45, constB46)) | (v152(constB46) <=> v150(constB45))),
% 13.70/8.90 inference(modus_ponens,[status(thm)],[461, 460])).
% 13.70/8.90 tff(463,plain,
% 13.70/8.90 (v152(constB46) <=> v150(constB45)),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[462, 459, 373])).
% 13.70/8.90 tff(464,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB45) <=> (v153(constB45) | v154(constB45)))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(465,plain,
% 13.70/8.90 (v150(constB45) <=> (v153(constB45) | v154(constB45))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[464, 387])).
% 13.70/8.90 tff(466,plain,
% 13.70/8.90 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB45) <=> (~((~v130(constB45)) | (~v139(constB45)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB45) <=> (~((~v130(constB45)) | (~v139(constB45))))))),
% 13.70/8.90 inference(rewrite,[status(thm)],[])).
% 13.70/8.90 tff(467,plain,
% 13.70/8.90 ((v153(constB45) <=> (~((~v139(constB45)) | (~v130(constB45))))) <=> (v153(constB45) <=> (~((~v130(constB45)) | (~v139(constB45)))))),
% 13.70/8.90 inference(rewrite,[status(thm)],[])).
% 13.70/8.90 tff(468,plain,
% 13.70/8.90 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB45) <=> (~((~v139(constB45)) | (~v130(constB45)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB45) <=> (~((~v130(constB45)) | (~v139(constB45))))))),
% 13.70/8.90 inference(monotonicity,[status(thm)],[467])).
% 13.70/8.90 tff(469,plain,
% 13.70/8.90 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB45) <=> (~((~v139(constB45)) | (~v130(constB45)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB45) <=> (~((~v130(constB45)) | (~v139(constB45))))))),
% 13.70/8.90 inference(transitivity,[status(thm)],[468, 466])).
% 13.70/8.90 tff(470,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB45) <=> (~((~v139(constB45)) | (~v130(constB45)))))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(471,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB45) <=> (~((~v130(constB45)) | (~v139(constB45)))))),
% 13.70/8.90 inference(modus_ponens,[status(thm)],[470, 469])).
% 13.70/8.90 tff(472,plain,
% 13.70/8.90 (v153(constB45) <=> (~((~v130(constB45)) | (~v139(constB45))))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[471, 447])).
% 13.70/8.90 tff(473,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB45)) <=> v140(constB45))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(474,plain,
% 13.70/8.90 ((~v139(constB45)) <=> v140(constB45)),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[473, 203])).
% 13.70/8.90 tff(475,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB45) <=> (v141(constB45) | v26(constB45)))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(476,plain,
% 13.70/8.90 (v140(constB45) <=> (v141(constB45) | v26(constB45))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[475, 212])).
% 13.70/8.90 tff(477,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB45) <=> (~((~v39(constB45)) | (~v9(constB45)))))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(478,plain,
% 13.70/8.90 (v141(constB45) <=> (~((~v39(constB45)) | (~v9(constB45))))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[477, 130])).
% 13.70/8.90 tff(479,plain,
% 13.70/8.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45)))),
% 13.70/8.90 inference(rewrite,[status(thm)],[])).
% 13.70/8.90 tff(480,plain,
% 13.70/8.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45)))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(481,plain,
% 13.70/8.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45))),
% 13.70/8.90 inference(modus_ponens,[status(thm)],[480, 479])).
% 13.70/8.90 tff(482,plain,
% 13.70/8.90 (v13(constB46) <=> v9(constB45)),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[481, 459, 226])).
% 13.70/8.90 tff(483,plain,
% 13.70/8.90 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB46) <=> v13(constB46))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(484,plain,
% 13.70/8.90 (v6(constB46) <=> v13(constB46)),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[483, 240])).
% 13.70/8.90 tff(485,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB46)) <=> v6(constB46))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(486,plain,
% 13.70/8.90 ((~v21(constB46)) <=> v6(constB46)),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[485, 249])).
% 13.70/8.90 tff(487,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB46) <=> (v20(constB46) | v21(constB46)))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(488,plain,
% 13.70/8.90 (v19(constB46) <=> (v20(constB46) | v21(constB46))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[487, 258])).
% 13.70/8.90 tff(489,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB46) <=> (~((~v19(constB46)) | (~v22(constB46)))))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(490,plain,
% 13.70/8.90 (v18(constB46) <=> (~((~v19(constB46)) | (~v22(constB46))))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[489, 270])).
% 13.70/8.90 tff(491,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB46)) <=> v18(constB46))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(492,plain,
% 13.70/8.90 ((~v4(constB46)) <=> v18(constB46)),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[491, 279])).
% 13.70/8.90 tff(493,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB46)),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(494,plain,
% 13.70/8.90 (v4(constB46)),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[493, 288])).
% 13.70/8.90 tff(495,plain,
% 13.70/8.90 ((~((~v4(constB46)) <=> v18(constB46))) | (~v4(constB46)) | (~v18(constB46))),
% 13.70/8.90 inference(tautology,[status(thm)],[])).
% 13.70/8.90 tff(496,plain,
% 13.70/8.90 (~v18(constB46)),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[495, 494, 492])).
% 13.70/8.90 tff(497,plain,
% 13.70/8.90 ((~(v18(constB46) <=> (~((~v19(constB46)) | (~v22(constB46)))))) | v18(constB46) | ((~v19(constB46)) | (~v22(constB46)))),
% 13.70/8.90 inference(tautology,[status(thm)],[])).
% 13.70/8.90 tff(498,plain,
% 13.70/8.90 ((~v19(constB46)) | (~v22(constB46))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[497, 496, 490])).
% 13.70/8.90 tff(499,plain,
% 13.70/8.90 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB46) <=> (v1(constB46) | v6(constB46)))),
% 13.70/8.90 inference(quant_inst,[status(thm)],[])).
% 13.70/8.90 tff(500,plain,
% 13.70/8.90 (v22(constB46) <=> (v1(constB46) | v6(constB46))),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[499, 301])).
% 13.70/8.90 tff(501,plain,
% 13.70/8.90 ((v1(constB46) | v6(constB46)) | (~v1(constB46))),
% 13.70/8.90 inference(tautology,[status(thm)],[])).
% 13.70/8.90 tff(502,plain,
% 13.70/8.90 (v1(constB46) | v6(constB46)),
% 13.70/8.90 inference(unit_resolution,[status(thm)],[501, 420])).
% 13.70/8.90 tff(503,plain,
% 13.70/8.90 ((~(v22(constB46) <=> (v1(constB46) | v6(constB46)))) | v22(constB46) | (~(v1(constB46) | v6(constB46)))),
% 13.70/8.90 inference(tautology,[status(thm)],[])).
% 13.70/8.90 tff(504,plain,
% 13.70/8.90 ((~(v22(constB46) <=> (v1(constB46) | v6(constB46)))) | v22(constB46)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[503, 502])).
% 13.70/8.91 tff(505,plain,
% 13.70/8.91 (v22(constB46)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[504, 500])).
% 13.70/8.91 tff(506,plain,
% 13.70/8.91 ((~((~v19(constB46)) | (~v22(constB46)))) | (~v19(constB46)) | (~v22(constB46))),
% 13.70/8.91 inference(tautology,[status(thm)],[])).
% 13.70/8.91 tff(507,plain,
% 13.70/8.91 ((~((~v19(constB46)) | (~v22(constB46)))) | (~v19(constB46))),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[506, 505])).
% 13.70/8.91 tff(508,plain,
% 13.70/8.91 (~v19(constB46)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[507, 498])).
% 13.70/8.91 tff(509,plain,
% 13.70/8.91 ((~(v19(constB46) <=> (v20(constB46) | v21(constB46)))) | v19(constB46) | (~(v20(constB46) | v21(constB46)))),
% 13.70/8.91 inference(tautology,[status(thm)],[])).
% 13.70/8.91 tff(510,plain,
% 13.70/8.91 (~(v20(constB46) | v21(constB46))),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[509, 508, 488])).
% 13.70/8.91 tff(511,plain,
% 13.70/8.91 ((v20(constB46) | v21(constB46)) | (~v21(constB46))),
% 13.70/8.91 inference(tautology,[status(thm)],[])).
% 13.70/8.91 tff(512,plain,
% 13.70/8.91 (~v21(constB46)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[511, 510])).
% 13.70/8.91 tff(513,plain,
% 13.70/8.91 ((~((~v21(constB46)) <=> v6(constB46))) | v21(constB46) | v6(constB46)),
% 13.70/8.91 inference(tautology,[status(thm)],[])).
% 13.70/8.91 tff(514,plain,
% 13.70/8.91 (v6(constB46)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[513, 512, 486])).
% 13.70/8.91 tff(515,plain,
% 13.70/8.91 ((~(v6(constB46) <=> v13(constB46))) | (~v6(constB46)) | v13(constB46)),
% 13.70/8.91 inference(tautology,[status(thm)],[])).
% 13.70/8.91 tff(516,plain,
% 13.70/8.91 (v13(constB46)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[515, 514, 484])).
% 13.70/8.91 tff(517,plain,
% 13.70/8.91 ((~(v13(constB46) <=> v9(constB45))) | (~v13(constB46)) | v9(constB45)),
% 13.70/8.91 inference(tautology,[status(thm)],[])).
% 13.70/8.91 tff(518,plain,
% 13.70/8.91 (v9(constB45)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[517, 516, 482])).
% 13.70/8.91 tff(519,plain,
% 13.70/8.91 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB45)) <=> v1(constB45))),
% 13.70/8.91 inference(quant_inst,[status(thm)],[])).
% 13.70/8.91 tff(520,plain,
% 13.70/8.91 ((~v39(constB45)) <=> v1(constB45)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[519, 139])).
% 13.70/8.91 tff(521,plain,
% 13.70/8.91 ((~v1(constB45)) <=> (~v1(constB45))),
% 13.70/8.91 inference(rewrite,[status(thm)],[])).
% 13.70/8.91 tff(522,axiom,(~v1(constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_45')).
% 13.70/8.91 tff(523,plain,
% 13.70/8.91 (~v1(constB45)),
% 13.70/8.91 inference(modus_ponens,[status(thm)],[522, 521])).
% 13.70/8.91 tff(524,plain,
% 13.70/8.91 ((~((~v39(constB45)) <=> v1(constB45))) | v39(constB45) | v1(constB45)),
% 13.70/8.91 inference(tautology,[status(thm)],[])).
% 13.70/8.91 tff(525,plain,
% 13.70/8.91 ((~((~v39(constB45)) <=> v1(constB45))) | v39(constB45)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[524, 523])).
% 13.70/8.91 tff(526,plain,
% 13.70/8.91 (v39(constB45)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[525, 520])).
% 13.70/8.91 tff(527,plain,
% 13.70/8.91 ((~((~v39(constB45)) | (~v9(constB45)))) | (~v39(constB45)) | (~v9(constB45))),
% 13.70/8.91 inference(tautology,[status(thm)],[])).
% 13.70/8.91 tff(528,plain,
% 13.70/8.91 ((~((~v39(constB45)) | (~v9(constB45)))) | (~v9(constB45))),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[527, 526])).
% 13.70/8.91 tff(529,plain,
% 13.70/8.91 (~((~v39(constB45)) | (~v9(constB45)))),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[528, 518])).
% 13.70/8.91 tff(530,plain,
% 13.70/8.91 ((~(v141(constB45) <=> (~((~v39(constB45)) | (~v9(constB45)))))) | v141(constB45) | ((~v39(constB45)) | (~v9(constB45)))),
% 13.70/8.91 inference(tautology,[status(thm)],[])).
% 13.70/8.91 tff(531,plain,
% 13.70/8.91 (v141(constB45)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[530, 529, 478])).
% 13.70/8.91 tff(532,plain,
% 13.70/8.91 ((v141(constB45) | v26(constB45)) | (~v141(constB45))),
% 13.70/8.91 inference(tautology,[status(thm)],[])).
% 13.70/8.91 tff(533,plain,
% 13.70/8.91 (v141(constB45) | v26(constB45)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[532, 531])).
% 13.70/8.91 tff(534,plain,
% 13.70/8.91 ((~(v140(constB45) <=> (v141(constB45) | v26(constB45)))) | v140(constB45) | (~(v141(constB45) | v26(constB45)))),
% 13.70/8.91 inference(tautology,[status(thm)],[])).
% 13.70/8.91 tff(535,plain,
% 13.70/8.91 (v140(constB45)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[534, 533, 476])).
% 13.70/8.91 tff(536,plain,
% 13.70/8.91 ((~((~v139(constB45)) <=> v140(constB45))) | (~v139(constB45)) | (~v140(constB45))),
% 13.70/8.91 inference(tautology,[status(thm)],[])).
% 13.70/8.91 tff(537,plain,
% 13.70/8.91 (~v139(constB45)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[536, 535, 474])).
% 13.70/8.91 tff(538,plain,
% 13.70/8.91 (((~v130(constB45)) | (~v139(constB45))) | v139(constB45)),
% 13.70/8.91 inference(tautology,[status(thm)],[])).
% 13.70/8.91 tff(539,plain,
% 13.70/8.91 ((~v130(constB45)) | (~v139(constB45))),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[538, 537])).
% 13.70/8.91 tff(540,plain,
% 13.70/8.91 ((~(v153(constB45) <=> (~((~v130(constB45)) | (~v139(constB45)))))) | (~v153(constB45)) | (~((~v130(constB45)) | (~v139(constB45))))),
% 13.70/8.91 inference(tautology,[status(thm)],[])).
% 13.70/8.91 tff(541,plain,
% 13.70/8.91 (~v153(constB45)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[540, 539, 472])).
% 13.70/8.91 tff(542,plain,
% 13.70/8.91 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB45) <=> (~((~v132(constB45)) | (~v155(constB45)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB45) <=> (~((~v132(constB45)) | (~v155(constB45))))))),
% 13.70/8.91 inference(rewrite,[status(thm)],[])).
% 13.70/8.91 tff(543,plain,
% 13.70/8.91 ((v154(constB45) <=> (~((~v155(constB45)) | (~v132(constB45))))) <=> (v154(constB45) <=> (~((~v132(constB45)) | (~v155(constB45)))))),
% 13.70/8.91 inference(rewrite,[status(thm)],[])).
% 13.70/8.91 tff(544,plain,
% 13.70/8.91 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB45) <=> (~((~v155(constB45)) | (~v132(constB45)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB45) <=> (~((~v132(constB45)) | (~v155(constB45))))))),
% 13.70/8.91 inference(monotonicity,[status(thm)],[543])).
% 13.70/8.91 tff(545,plain,
% 13.70/8.91 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB45) <=> (~((~v155(constB45)) | (~v132(constB45)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB45) <=> (~((~v132(constB45)) | (~v155(constB45))))))),
% 13.70/8.91 inference(transitivity,[status(thm)],[544, 542])).
% 13.70/8.91 tff(546,plain,
% 13.70/8.91 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB45) <=> (~((~v155(constB45)) | (~v132(constB45)))))),
% 13.70/8.91 inference(quant_inst,[status(thm)],[])).
% 13.70/8.91 tff(547,plain,
% 13.70/8.91 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB45) <=> (~((~v132(constB45)) | (~v155(constB45)))))),
% 13.70/8.91 inference(modus_ponens,[status(thm)],[546, 545])).
% 13.70/8.91 tff(548,plain,
% 13.70/8.91 (v154(constB45) <=> (~((~v132(constB45)) | (~v155(constB45))))),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[547, 399])).
% 13.70/8.91 tff(549,plain,
% 13.70/8.91 (^[VarNext: state_type] : refl((v132(VarNext) <=> v137(VarNext)) <=> (v132(VarNext) <=> v137(VarNext)))),
% 13.70/8.91 inference(bind,[status(th)],[])).
% 13.70/8.91 tff(550,plain,
% 13.70/8.91 (![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext)) <=> ![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))),
% 13.70/8.91 inference(quant_intro,[status(thm)],[549])).
% 13.70/8.91 tff(551,plain,
% 13.70/8.91 (![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext)) <=> ![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))),
% 13.70/8.91 inference(rewrite,[status(thm)],[])).
% 13.70/8.91 tff(552,plain,
% 13.70/8.91 (^[VarNext: state_type] : rewrite(($true => (v132(VarNext) <=> v137(VarNext))) <=> (v132(VarNext) <=> v137(VarNext)))),
% 13.70/8.91 inference(bind,[status(th)],[])).
% 13.70/8.91 tff(553,plain,
% 13.70/8.91 (![VarNext: state_type] : ($true => (v132(VarNext) <=> v137(VarNext))) <=> ![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))),
% 13.70/8.91 inference(quant_intro,[status(thm)],[552])).
% 13.70/8.91 tff(554,axiom,(![VarNext: state_type] : ($true => (v132(VarNext) <=> v137(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4')).
% 13.70/8.91 tff(555,plain,
% 13.70/8.91 (![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))),
% 13.70/8.91 inference(modus_ponens,[status(thm)],[554, 553])).
% 13.70/8.91 tff(556,plain,
% 13.70/8.91 (![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))),
% 13.70/8.91 inference(modus_ponens,[status(thm)],[555, 551])).
% 13.70/8.91 tff(557,plain,(
% 13.70/8.91 ![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))),
% 13.70/8.91 inference(skolemize,[status(sab)],[556])).
% 13.70/8.91 tff(558,plain,
% 13.70/8.91 (![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))),
% 13.70/8.91 inference(modus_ponens,[status(thm)],[557, 550])).
% 13.70/8.91 tff(559,plain,
% 13.70/8.91 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB45) <=> v137(constB45))),
% 13.70/8.91 inference(quant_inst,[status(thm)],[])).
% 13.70/8.91 tff(560,plain,
% 13.70/8.91 (v132(constB45) <=> v137(constB45)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[559, 558])).
% 13.70/8.91 tff(561,plain,
% 13.70/8.91 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr))))),
% 13.70/8.91 inference(bind,[status(th)],[])).
% 13.70/8.91 tff(562,plain,
% 13.70/8.91 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))),
% 13.70/8.91 inference(quant_intro,[status(thm)],[561])).
% 13.70/8.91 tff(563,plain,
% 13.70/8.91 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))),
% 13.70/8.91 inference(rewrite,[status(thm)],[])).
% 13.70/8.91 tff(564,plain,
% 13.70/8.91 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v137(VarNext) <=> v135(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr))))),
% 13.70/8.91 inference(bind,[status(th)],[])).
% 13.70/8.91 tff(565,plain,
% 13.70/8.91 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v137(VarNext) <=> v135(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))),
% 13.70/8.91 inference(quant_intro,[status(thm)],[564])).
% 13.70/8.91 tff(566,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v137(VarNext) <=> v135(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8')).
% 13.70/8.91 tff(567,plain,
% 13.70/8.91 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))),
% 13.70/8.91 inference(modus_ponens,[status(thm)],[566, 565])).
% 13.70/8.91 tff(568,plain,
% 13.70/8.91 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))),
% 13.70/8.91 inference(modus_ponens,[status(thm)],[567, 563])).
% 13.70/8.91 tff(569,plain,(
% 13.70/8.91 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))),
% 13.70/8.91 inference(skolemize,[status(sab)],[568])).
% 13.70/8.91 tff(570,plain,
% 13.70/8.91 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))),
% 13.70/8.91 inference(modus_ponens,[status(thm)],[569, 562])).
% 13.70/8.91 tff(571,plain,
% 13.70/8.91 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 13.70/8.91 inference(rewrite,[status(thm)],[])).
% 13.70/8.91 tff(572,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_44')).
% 13.70/8.91 tff(573,plain,
% 13.70/8.91 (nextState(constB44, constB45)),
% 13.70/8.91 inference(modus_ponens,[status(thm)],[572, 571])).
% 13.70/8.91 tff(574,plain,
% 13.70/8.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB44, constB45)) | (v137(constB45) <=> v135(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB44, constB45)) | (v137(constB45) <=> v135(constB44)))),
% 13.70/8.91 inference(rewrite,[status(thm)],[])).
% 13.70/8.91 tff(575,plain,
% 13.70/8.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB44, constB45)) | (v137(constB45) <=> v135(constB44)))),
% 13.70/8.91 inference(quant_inst,[status(thm)],[])).
% 13.70/8.91 tff(576,plain,
% 13.70/8.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB44, constB45)) | (v137(constB45) <=> v135(constB44))),
% 13.70/8.91 inference(modus_ponens,[status(thm)],[575, 574])).
% 13.70/8.91 tff(577,plain,
% 13.70/8.91 (v137(constB45) <=> v135(constB44)),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[576, 573, 570])).
% 13.70/8.91 tff(578,plain,
% 13.70/8.91 (^[VarCurr: state_type] : refl((v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr))) <=> (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr))))),
% 13.70/8.91 inference(bind,[status(th)],[])).
% 13.70/8.91 tff(579,plain,
% 13.70/8.91 (![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr))) <=> ![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))),
% 13.70/8.91 inference(quant_intro,[status(thm)],[578])).
% 13.70/8.91 tff(580,plain,
% 13.70/8.91 (![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr))) <=> ![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))),
% 13.70/8.91 inference(rewrite,[status(thm)],[])).
% 13.70/8.91 tff(581,axiom,(![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_33')).
% 13.70/8.91 tff(582,plain,
% 13.70/8.91 (![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))),
% 13.70/8.91 inference(modus_ponens,[status(thm)],[581, 580])).
% 13.70/8.91 tff(583,plain,(
% 13.70/8.91 ![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))),
% 13.70/8.91 inference(skolemize,[status(sab)],[582])).
% 13.70/8.91 tff(584,plain,
% 13.70/8.91 (![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))),
% 13.70/8.91 inference(modus_ponens,[status(thm)],[583, 579])).
% 13.70/8.91 tff(585,plain,
% 13.70/8.91 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB44) <=> (v138(constB44) | v142(constB44)))),
% 13.70/8.91 inference(quant_inst,[status(thm)],[])).
% 13.70/8.91 tff(586,plain,
% 13.70/8.91 (v135(constB44) <=> (v138(constB44) | v142(constB44))),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[585, 584])).
% 13.70/8.91 tff(587,plain,
% 13.70/8.91 (^[VarCurr: state_type] : refl((v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr))))) <=> (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr))))))),
% 13.70/8.91 inference(bind,[status(th)],[])).
% 13.70/8.91 tff(588,plain,
% 13.70/8.91 (![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr))))) <=> ![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))),
% 13.70/8.91 inference(quant_intro,[status(thm)],[587])).
% 13.70/8.91 tff(589,plain,
% 13.70/8.91 (^[VarCurr: state_type] : rewrite((v142(VarCurr) <=> (v143(VarCurr) & v144(VarCurr))) <=> (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr))))))),
% 13.70/8.91 inference(bind,[status(th)],[])).
% 13.70/8.91 tff(590,plain,
% 13.70/8.91 (![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) & v144(VarCurr))) <=> ![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))),
% 13.70/8.91 inference(quant_intro,[status(thm)],[589])).
% 13.70/8.91 tff(591,plain,
% 13.70/8.91 (![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) & v144(VarCurr))) <=> ![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) & v144(VarCurr)))),
% 13.70/8.91 inference(rewrite,[status(thm)],[])).
% 13.70/8.91 tff(592,axiom,(![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) & v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32')).
% 13.70/8.91 tff(593,plain,
% 13.70/8.91 (![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) & v144(VarCurr)))),
% 13.70/8.91 inference(modus_ponens,[status(thm)],[592, 591])).
% 13.70/8.91 tff(594,plain,(
% 13.70/8.91 ![VarCurr: state_type] : (v142(VarCurr) <=> (v143(VarCurr) & v144(VarCurr)))),
% 13.70/8.91 inference(skolemize,[status(sab)],[593])).
% 13.70/8.91 tff(595,plain,
% 13.70/8.91 (![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))),
% 13.70/8.91 inference(modus_ponens,[status(thm)],[594, 590])).
% 13.70/8.91 tff(596,plain,
% 13.70/8.91 (![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))),
% 13.70/8.91 inference(modus_ponens,[status(thm)],[595, 588])).
% 13.70/8.91 tff(597,plain,
% 13.70/8.91 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB44) <=> (~((~v143(constB44)) | (~v144(constB44)))))),
% 13.70/8.91 inference(quant_inst,[status(thm)],[])).
% 13.70/8.91 tff(598,plain,
% 13.70/8.91 (v142(constB44) <=> (~((~v143(constB44)) | (~v144(constB44))))),
% 13.70/8.91 inference(unit_resolution,[status(thm)],[597, 596])).
% 13.78/8.91 tff(599,plain,
% 13.78/8.91 (^[VarCurr: state_type] : refl((v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr))))) <=> (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr))))))),
% 13.78/8.91 inference(bind,[status(th)],[])).
% 13.78/8.91 tff(600,plain,
% 13.78/8.91 (![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr))))) <=> ![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))),
% 13.78/8.91 inference(quant_intro,[status(thm)],[599])).
% 13.78/8.91 tff(601,plain,
% 13.78/8.91 (^[VarCurr: state_type] : rewrite((v144(VarCurr) <=> (v141(VarCurr) & v145(VarCurr))) <=> (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr))))))),
% 13.78/8.91 inference(bind,[status(th)],[])).
% 13.78/8.91 tff(602,plain,
% 13.78/8.91 (![VarCurr: state_type] : (v144(VarCurr) <=> (v141(VarCurr) & v145(VarCurr))) <=> ![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))),
% 13.78/8.91 inference(quant_intro,[status(thm)],[601])).
% 13.78/8.91 tff(603,plain,
% 13.78/8.91 (![VarCurr: state_type] : (v144(VarCurr) <=> (v141(VarCurr) & v145(VarCurr))) <=> ![VarCurr: state_type] : (v144(VarCurr) <=> (v141(VarCurr) & v145(VarCurr)))),
% 13.78/8.91 inference(rewrite,[status(thm)],[])).
% 13.78/8.91 tff(604,axiom,(![VarCurr: state_type] : (v144(VarCurr) <=> (v141(VarCurr) & v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_31')).
% 13.78/8.91 tff(605,plain,
% 13.78/8.91 (![VarCurr: state_type] : (v144(VarCurr) <=> (v141(VarCurr) & v145(VarCurr)))),
% 13.78/8.91 inference(modus_ponens,[status(thm)],[604, 603])).
% 13.78/8.91 tff(606,plain,(
% 13.78/8.91 ![VarCurr: state_type] : (v144(VarCurr) <=> (v141(VarCurr) & v145(VarCurr)))),
% 13.78/8.91 inference(skolemize,[status(sab)],[605])).
% 13.78/8.91 tff(607,plain,
% 13.78/8.91 (![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))),
% 13.78/8.91 inference(modus_ponens,[status(thm)],[606, 602])).
% 13.78/8.91 tff(608,plain,
% 13.78/8.91 (![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))),
% 13.78/8.91 inference(modus_ponens,[status(thm)],[607, 600])).
% 13.78/8.91 tff(609,plain,
% 13.78/8.91 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB44) <=> (~((~v141(constB44)) | (~v145(constB44)))))),
% 13.78/8.91 inference(quant_inst,[status(thm)],[])).
% 13.78/8.91 tff(610,plain,
% 13.78/8.91 (v144(constB44) <=> (~((~v141(constB44)) | (~v145(constB44))))),
% 13.78/8.91 inference(unit_resolution,[status(thm)],[609, 608])).
% 13.78/8.91 tff(611,plain,
% 13.78/8.91 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB44) <=> (~((~v39(constB44)) | (~v9(constB44)))))),
% 13.78/8.91 inference(quant_inst,[status(thm)],[])).
% 13.78/8.91 tff(612,plain,
% 13.78/8.91 (v141(constB44) <=> (~((~v39(constB44)) | (~v9(constB44))))),
% 13.78/8.91 inference(unit_resolution,[status(thm)],[611, 130])).
% 13.78/8.91 tff(613,plain,
% 13.78/8.91 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB44)) <=> v1(constB44))),
% 13.78/8.91 inference(quant_inst,[status(thm)],[])).
% 13.78/8.91 tff(614,plain,
% 13.78/8.91 ((~v39(constB44)) <=> v1(constB44)),
% 13.78/8.91 inference(unit_resolution,[status(thm)],[613, 139])).
% 13.78/8.91 tff(615,plain,
% 13.78/8.91 (v1(constB44) <=> v1(constB44)),
% 13.78/8.91 inference(rewrite,[status(thm)],[])).
% 13.78/8.91 tff(616,axiom,(v1(constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_44')).
% 13.78/8.91 tff(617,plain,
% 13.78/8.91 (v1(constB44)),
% 13.78/8.91 inference(modus_ponens,[status(thm)],[616, 615])).
% 13.78/8.91 tff(618,plain,
% 13.78/8.91 ((~((~v39(constB44)) <=> v1(constB44))) | (~v39(constB44)) | (~v1(constB44))),
% 13.78/8.91 inference(tautology,[status(thm)],[])).
% 13.78/8.91 tff(619,plain,
% 13.78/8.91 ((~((~v39(constB44)) <=> v1(constB44))) | (~v39(constB44))),
% 13.78/8.91 inference(unit_resolution,[status(thm)],[618, 617])).
% 13.78/8.91 tff(620,plain,
% 13.78/8.91 (~v39(constB44)),
% 13.78/8.91 inference(unit_resolution,[status(thm)],[619, 614])).
% 13.78/8.91 tff(621,plain,
% 13.78/8.91 (((~v39(constB44)) | (~v9(constB44))) | v39(constB44)),
% 13.78/8.91 inference(tautology,[status(thm)],[])).
% 13.78/8.91 tff(622,plain,
% 13.78/8.91 ((~v39(constB44)) | (~v9(constB44))),
% 13.78/8.91 inference(unit_resolution,[status(thm)],[621, 620])).
% 13.78/8.91 tff(623,plain,
% 13.78/8.91 ((~(v141(constB44) <=> (~((~v39(constB44)) | (~v9(constB44)))))) | (~v141(constB44)) | (~((~v39(constB44)) | (~v9(constB44))))),
% 13.78/8.91 inference(tautology,[status(thm)],[])).
% 13.78/8.91 tff(624,plain,
% 13.78/8.91 ((~(v141(constB44) <=> (~((~v39(constB44)) | (~v9(constB44)))))) | (~v141(constB44))),
% 13.78/8.91 inference(unit_resolution,[status(thm)],[623, 622])).
% 13.78/8.91 tff(625,plain,
% 13.78/8.91 (~v141(constB44)),
% 13.78/8.91 inference(unit_resolution,[status(thm)],[624, 612])).
% 13.78/8.91 tff(626,plain,
% 13.78/8.91 (((~v141(constB44)) | (~v145(constB44))) | v141(constB44)),
% 13.78/8.91 inference(tautology,[status(thm)],[])).
% 13.78/8.91 tff(627,plain,
% 13.78/8.91 ((~v141(constB44)) | (~v145(constB44))),
% 13.78/8.91 inference(unit_resolution,[status(thm)],[626, 625])).
% 13.78/8.91 tff(628,plain,
% 13.78/8.91 ((~(v144(constB44) <=> (~((~v141(constB44)) | (~v145(constB44)))))) | (~v144(constB44)) | (~((~v141(constB44)) | (~v145(constB44))))),
% 13.78/8.91 inference(tautology,[status(thm)],[])).
% 13.78/8.91 tff(629,plain,
% 13.78/8.91 ((~(v144(constB44) <=> (~((~v141(constB44)) | (~v145(constB44)))))) | (~v144(constB44))),
% 13.78/8.91 inference(unit_resolution,[status(thm)],[628, 627])).
% 13.78/8.91 tff(630,plain,
% 13.78/8.91 (~v144(constB44)),
% 13.78/8.91 inference(unit_resolution,[status(thm)],[629, 610])).
% 13.78/8.91 tff(631,plain,
% 13.78/8.91 (((~v143(constB44)) | (~v144(constB44))) | v144(constB44)),
% 13.78/8.91 inference(tautology,[status(thm)],[])).
% 13.78/8.91 tff(632,plain,
% 13.78/8.91 ((~v143(constB44)) | (~v144(constB44))),
% 13.78/8.91 inference(unit_resolution,[status(thm)],[631, 630])).
% 13.78/8.91 tff(633,plain,
% 13.78/8.91 ((~(v142(constB44) <=> (~((~v143(constB44)) | (~v144(constB44)))))) | (~v142(constB44)) | (~((~v143(constB44)) | (~v144(constB44))))),
% 13.78/8.91 inference(tautology,[status(thm)],[])).
% 13.78/8.91 tff(634,plain,
% 13.78/8.91 (~v142(constB44)),
% 13.78/8.91 inference(unit_resolution,[status(thm)],[633, 632, 598])).
% 13.78/8.91 tff(635,plain,
% 13.78/8.91 (^[VarCurr: state_type] : refl((v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr))))) <=> (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr))))))),
% 13.78/8.91 inference(bind,[status(th)],[])).
% 13.78/8.91 tff(636,plain,
% 13.78/8.91 (![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr))))) <=> ![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))),
% 13.78/8.91 inference(quant_intro,[status(thm)],[635])).
% 13.78/8.91 tff(637,plain,
% 13.78/8.91 (^[VarCurr: state_type] : rewrite((v138(VarCurr) <=> (v139(VarCurr) & v132(VarCurr))) <=> (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr))))))),
% 13.78/8.91 inference(bind,[status(th)],[])).
% 13.78/8.91 tff(638,plain,
% 13.78/8.91 (![VarCurr: state_type] : (v138(VarCurr) <=> (v139(VarCurr) & v132(VarCurr))) <=> ![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))),
% 13.78/8.91 inference(quant_intro,[status(thm)],[637])).
% 13.78/8.91 tff(639,plain,
% 13.78/8.91 (![VarCurr: state_type] : (v138(VarCurr) <=> (v139(VarCurr) & v132(VarCurr))) <=> ![VarCurr: state_type] : (v138(VarCurr) <=> (v139(VarCurr) & v132(VarCurr)))),
% 13.78/8.91 inference(rewrite,[status(thm)],[])).
% 13.78/8.91 tff(640,axiom,(![VarCurr: state_type] : (v138(VarCurr) <=> (v139(VarCurr) & v132(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30')).
% 13.78/8.91 tff(641,plain,
% 13.78/8.91 (![VarCurr: state_type] : (v138(VarCurr) <=> (v139(VarCurr) & v132(VarCurr)))),
% 13.78/8.91 inference(modus_ponens,[status(thm)],[640, 639])).
% 13.78/8.91 tff(642,plain,(
% 13.78/8.91 ![VarCurr: state_type] : (v138(VarCurr) <=> (v139(VarCurr) & v132(VarCurr)))),
% 13.78/8.91 inference(skolemize,[status(sab)],[641])).
% 13.78/8.91 tff(643,plain,
% 13.78/8.91 (![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))),
% 13.78/8.91 inference(modus_ponens,[status(thm)],[642, 638])).
% 13.78/8.91 tff(644,plain,
% 13.78/8.91 (![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))),
% 13.78/8.91 inference(modus_ponens,[status(thm)],[643, 636])).
% 13.78/8.91 tff(645,plain,
% 13.78/8.91 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44))))))),
% 13.78/8.91 inference(rewrite,[status(thm)],[])).
% 13.78/8.91 tff(646,plain,
% 13.78/8.91 ((v138(constB44) <=> (~((~v139(constB44)) | (~v132(constB44))))) <=> (v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44)))))),
% 13.78/8.91 inference(rewrite,[status(thm)],[])).
% 13.78/8.91 tff(647,plain,
% 13.78/8.91 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v139(constB44)) | (~v132(constB44)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44))))))),
% 13.78/8.91 inference(monotonicity,[status(thm)],[646])).
% 13.78/8.91 tff(648,plain,
% 13.78/8.91 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v139(constB44)) | (~v132(constB44)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44))))))),
% 13.78/8.91 inference(transitivity,[status(thm)],[647, 645])).
% 13.78/8.91 tff(649,plain,
% 13.78/8.91 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v139(constB44)) | (~v132(constB44)))))),
% 13.78/8.91 inference(quant_inst,[status(thm)],[])).
% 13.78/8.91 tff(650,plain,
% 13.78/8.91 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44)))))),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[649, 648])).
% 13.78/8.92 tff(651,plain,
% 13.78/8.92 (v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44))))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[650, 644])).
% 13.78/8.92 tff(652,plain,
% 13.78/8.92 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB44) <=> v137(constB44))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(653,plain,
% 13.78/8.92 (v132(constB44) <=> v137(constB44)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[652, 558])).
% 13.78/8.92 tff(654,plain,
% 13.78/8.92 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 13.78/8.92 inference(rewrite,[status(thm)],[])).
% 13.78/8.92 tff(655,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_43')).
% 13.78/8.92 tff(656,plain,
% 13.78/8.92 (nextState(constB43, constB44)),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[655, 654])).
% 13.78/8.92 tff(657,plain,
% 13.78/8.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB43, constB44)) | (v137(constB44) <=> v135(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB43, constB44)) | (v137(constB44) <=> v135(constB43)))),
% 13.78/8.92 inference(rewrite,[status(thm)],[])).
% 13.78/8.92 tff(658,plain,
% 13.78/8.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB43, constB44)) | (v137(constB44) <=> v135(constB43)))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(659,plain,
% 13.78/8.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB43, constB44)) | (v137(constB44) <=> v135(constB43))),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[658, 657])).
% 13.78/8.92 tff(660,plain,
% 13.78/8.92 (v137(constB44) <=> v135(constB43)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[659, 656, 570])).
% 13.78/8.92 tff(661,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB43) <=> (v138(constB43) | v142(constB43)))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(662,plain,
% 13.78/8.92 (v135(constB43) <=> (v138(constB43) | v142(constB43))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[661, 584])).
% 13.78/8.92 tff(663,plain,
% 13.78/8.92 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43))))))),
% 13.78/8.92 inference(rewrite,[status(thm)],[])).
% 13.78/8.92 tff(664,plain,
% 13.78/8.92 ((v138(constB43) <=> (~((~v139(constB43)) | (~v132(constB43))))) <=> (v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43)))))),
% 13.78/8.92 inference(rewrite,[status(thm)],[])).
% 13.78/8.92 tff(665,plain,
% 13.78/8.92 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v139(constB43)) | (~v132(constB43)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43))))))),
% 13.78/8.92 inference(monotonicity,[status(thm)],[664])).
% 13.78/8.92 tff(666,plain,
% 13.78/8.92 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v139(constB43)) | (~v132(constB43)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43))))))),
% 13.78/8.92 inference(transitivity,[status(thm)],[665, 663])).
% 13.78/8.92 tff(667,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v139(constB43)) | (~v132(constB43)))))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(668,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43)))))),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[667, 666])).
% 13.78/8.92 tff(669,plain,
% 13.78/8.92 (v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43))))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[668, 644])).
% 13.78/8.92 tff(670,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB43)) <=> v140(constB43))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(671,plain,
% 13.78/8.92 ((~v139(constB43)) <=> v140(constB43)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[670, 203])).
% 13.78/8.92 tff(672,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB43) <=> (v141(constB43) | v26(constB43)))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(673,plain,
% 13.78/8.92 (v140(constB43) <=> (v141(constB43) | v26(constB43))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[672, 212])).
% 13.78/8.92 tff(674,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB43) <=> (~((~v39(constB43)) | (~v9(constB43)))))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(675,plain,
% 13.78/8.92 (v141(constB43) <=> (~((~v39(constB43)) | (~v9(constB43))))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[674, 130])).
% 13.78/8.92 tff(676,plain,
% 13.78/8.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB43, constB44)) | (v13(constB44) <=> v9(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB43, constB44)) | (v13(constB44) <=> v9(constB43)))),
% 13.78/8.92 inference(rewrite,[status(thm)],[])).
% 13.78/8.92 tff(677,plain,
% 13.78/8.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB43, constB44)) | (v13(constB44) <=> v9(constB43)))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(678,plain,
% 13.78/8.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB43, constB44)) | (v13(constB44) <=> v9(constB43))),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[677, 676])).
% 13.78/8.92 tff(679,plain,
% 13.78/8.92 (v13(constB44) <=> v9(constB43)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[678, 656, 226])).
% 13.78/8.92 tff(680,plain,
% 13.78/8.92 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB44) <=> v13(constB44))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(681,plain,
% 13.78/8.92 (v6(constB44) <=> v13(constB44)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[680, 240])).
% 13.78/8.92 tff(682,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB44)) <=> v6(constB44))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(683,plain,
% 13.78/8.92 ((~v21(constB44)) <=> v6(constB44)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[682, 249])).
% 13.78/8.92 tff(684,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB44) <=> (v20(constB44) | v21(constB44)))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(685,plain,
% 13.78/8.92 (v19(constB44) <=> (v20(constB44) | v21(constB44))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[684, 258])).
% 13.78/8.92 tff(686,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB44) <=> (~((~v19(constB44)) | (~v22(constB44)))))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(687,plain,
% 13.78/8.92 (v18(constB44) <=> (~((~v19(constB44)) | (~v22(constB44))))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[686, 270])).
% 13.78/8.92 tff(688,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB44)) <=> v18(constB44))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(689,plain,
% 13.78/8.92 ((~v4(constB44)) <=> v18(constB44)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[688, 279])).
% 13.78/8.92 tff(690,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB44)),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(691,plain,
% 13.78/8.92 (v4(constB44)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[690, 288])).
% 13.78/8.92 tff(692,plain,
% 13.78/8.92 ((~((~v4(constB44)) <=> v18(constB44))) | (~v4(constB44)) | (~v18(constB44))),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(693,plain,
% 13.78/8.92 (~v18(constB44)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[692, 691, 689])).
% 13.78/8.92 tff(694,plain,
% 13.78/8.92 ((~(v18(constB44) <=> (~((~v19(constB44)) | (~v22(constB44)))))) | v18(constB44) | ((~v19(constB44)) | (~v22(constB44)))),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(695,plain,
% 13.78/8.92 ((~v19(constB44)) | (~v22(constB44))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[694, 693, 687])).
% 13.78/8.92 tff(696,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB44) <=> (v1(constB44) | v6(constB44)))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(697,plain,
% 13.78/8.92 (v22(constB44) <=> (v1(constB44) | v6(constB44))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[696, 301])).
% 13.78/8.92 tff(698,plain,
% 13.78/8.92 ((v1(constB44) | v6(constB44)) | (~v1(constB44))),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(699,plain,
% 13.78/8.92 (v1(constB44) | v6(constB44)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[698, 617])).
% 13.78/8.92 tff(700,plain,
% 13.78/8.92 ((~(v22(constB44) <=> (v1(constB44) | v6(constB44)))) | v22(constB44) | (~(v1(constB44) | v6(constB44)))),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(701,plain,
% 13.78/8.92 ((~(v22(constB44) <=> (v1(constB44) | v6(constB44)))) | v22(constB44)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[700, 699])).
% 13.78/8.92 tff(702,plain,
% 13.78/8.92 (v22(constB44)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[701, 697])).
% 13.78/8.92 tff(703,plain,
% 13.78/8.92 ((~((~v19(constB44)) | (~v22(constB44)))) | (~v19(constB44)) | (~v22(constB44))),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(704,plain,
% 13.78/8.92 ((~((~v19(constB44)) | (~v22(constB44)))) | (~v19(constB44))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[703, 702])).
% 13.78/8.92 tff(705,plain,
% 13.78/8.92 (~v19(constB44)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[704, 695])).
% 13.78/8.92 tff(706,plain,
% 13.78/8.92 ((~(v19(constB44) <=> (v20(constB44) | v21(constB44)))) | v19(constB44) | (~(v20(constB44) | v21(constB44)))),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(707,plain,
% 13.78/8.92 (~(v20(constB44) | v21(constB44))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[706, 705, 685])).
% 13.78/8.92 tff(708,plain,
% 13.78/8.92 ((v20(constB44) | v21(constB44)) | (~v21(constB44))),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(709,plain,
% 13.78/8.92 (~v21(constB44)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[708, 707])).
% 13.78/8.92 tff(710,plain,
% 13.78/8.92 ((~((~v21(constB44)) <=> v6(constB44))) | v21(constB44) | v6(constB44)),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(711,plain,
% 13.78/8.92 (v6(constB44)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[710, 709, 683])).
% 13.78/8.92 tff(712,plain,
% 13.78/8.92 ((~(v6(constB44) <=> v13(constB44))) | (~v6(constB44)) | v13(constB44)),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(713,plain,
% 13.78/8.92 (v13(constB44)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[712, 711, 681])).
% 13.78/8.92 tff(714,plain,
% 13.78/8.92 ((~(v13(constB44) <=> v9(constB43))) | (~v13(constB44)) | v9(constB43)),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(715,plain,
% 13.78/8.92 (v9(constB43)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[714, 713, 679])).
% 13.78/8.92 tff(716,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB43)) <=> v1(constB43))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(717,plain,
% 13.78/8.92 ((~v39(constB43)) <=> v1(constB43)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[716, 139])).
% 13.78/8.92 tff(718,plain,
% 13.78/8.92 ((~v1(constB43)) <=> (~v1(constB43))),
% 13.78/8.92 inference(rewrite,[status(thm)],[])).
% 13.78/8.92 tff(719,axiom,(~v1(constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_43')).
% 13.78/8.92 tff(720,plain,
% 13.78/8.92 (~v1(constB43)),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[719, 718])).
% 13.78/8.92 tff(721,plain,
% 13.78/8.92 ((~((~v39(constB43)) <=> v1(constB43))) | v39(constB43) | v1(constB43)),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(722,plain,
% 13.78/8.92 ((~((~v39(constB43)) <=> v1(constB43))) | v39(constB43)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[721, 720])).
% 13.78/8.92 tff(723,plain,
% 13.78/8.92 (v39(constB43)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[722, 717])).
% 13.78/8.92 tff(724,plain,
% 13.78/8.92 ((~((~v39(constB43)) | (~v9(constB43)))) | (~v39(constB43)) | (~v9(constB43))),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(725,plain,
% 13.78/8.92 ((~((~v39(constB43)) | (~v9(constB43)))) | (~v9(constB43))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[724, 723])).
% 13.78/8.92 tff(726,plain,
% 13.78/8.92 (~((~v39(constB43)) | (~v9(constB43)))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[725, 715])).
% 13.78/8.92 tff(727,plain,
% 13.78/8.92 ((~(v141(constB43) <=> (~((~v39(constB43)) | (~v9(constB43)))))) | v141(constB43) | ((~v39(constB43)) | (~v9(constB43)))),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(728,plain,
% 13.78/8.92 (v141(constB43)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[727, 726, 675])).
% 13.78/8.92 tff(729,plain,
% 13.78/8.92 ((v141(constB43) | v26(constB43)) | (~v141(constB43))),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(730,plain,
% 13.78/8.92 (v141(constB43) | v26(constB43)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[729, 728])).
% 13.78/8.92 tff(731,plain,
% 13.78/8.92 ((~(v140(constB43) <=> (v141(constB43) | v26(constB43)))) | v140(constB43) | (~(v141(constB43) | v26(constB43)))),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(732,plain,
% 13.78/8.92 (v140(constB43)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[731, 730, 673])).
% 13.78/8.92 tff(733,plain,
% 13.78/8.92 ((~((~v139(constB43)) <=> v140(constB43))) | (~v139(constB43)) | (~v140(constB43))),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(734,plain,
% 13.78/8.92 (~v139(constB43)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[733, 732, 671])).
% 13.78/8.92 tff(735,plain,
% 13.78/8.92 (((~v132(constB43)) | (~v139(constB43))) | v139(constB43)),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(736,plain,
% 13.78/8.92 ((~v132(constB43)) | (~v139(constB43))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[735, 734])).
% 13.78/8.92 tff(737,plain,
% 13.78/8.92 ((~(v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43)))))) | (~v138(constB43)) | (~((~v132(constB43)) | (~v139(constB43))))),
% 13.78/8.92 inference(tautology,[status(thm)],[])).
% 13.78/8.92 tff(738,plain,
% 13.78/8.92 (~v138(constB43)),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[737, 736, 669])).
% 13.78/8.92 tff(739,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB43) <=> (~((~v143(constB43)) | (~v144(constB43)))))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(740,plain,
% 13.78/8.92 (v142(constB43) <=> (~((~v143(constB43)) | (~v144(constB43))))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[739, 596])).
% 13.78/8.92 tff(741,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB43) <=> (~((~v141(constB43)) | (~v145(constB43)))))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(742,plain,
% 13.78/8.92 (v144(constB43) <=> (~((~v141(constB43)) | (~v145(constB43))))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[741, 608])).
% 13.78/8.92 tff(743,plain,
% 13.78/8.92 (^[VarCurr: state_type] : refl((v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0))))) <=> (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0))))))),
% 13.78/8.92 inference(bind,[status(th)],[])).
% 13.78/8.92 tff(744,plain,
% 13.78/8.92 (![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0))))) <=> ![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))),
% 13.78/8.92 inference(quant_intro,[status(thm)],[743])).
% 13.78/8.92 tff(745,plain,
% 13.78/8.92 (^[VarCurr: state_type] : rewrite((v145(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))) <=> (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0))))))),
% 13.78/8.92 inference(bind,[status(th)],[])).
% 13.78/8.92 tff(746,plain,
% 13.78/8.92 (![VarCurr: state_type] : (v145(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))) <=> ![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))),
% 13.78/8.92 inference(quant_intro,[status(thm)],[745])).
% 13.78/8.92 tff(747,plain,
% 13.78/8.92 (![VarCurr: state_type] : (v145(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))) <=> ![VarCurr: state_type] : (v145(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 13.78/8.92 inference(rewrite,[status(thm)],[])).
% 13.78/8.92 tff(748,plain,
% 13.78/8.92 (^[VarCurr: state_type] : rewrite((v145(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $true))) <=> (v145(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))))),
% 13.78/8.92 inference(bind,[status(th)],[])).
% 13.78/8.92 tff(749,plain,
% 13.78/8.92 (![VarCurr: state_type] : (v145(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v145(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 13.78/8.92 inference(quant_intro,[status(thm)],[748])).
% 13.78/8.92 tff(750,axiom,(![VarCurr: state_type] : (v145(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9')).
% 13.78/8.92 tff(751,plain,
% 13.78/8.92 (![VarCurr: state_type] : (v145(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[750, 749])).
% 13.78/8.92 tff(752,plain,
% 13.78/8.92 (![VarCurr: state_type] : (v145(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[751, 747])).
% 13.78/8.92 tff(753,plain,(
% 13.78/8.92 ![VarCurr: state_type] : (v145(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 13.78/8.92 inference(skolemize,[status(sab)],[752])).
% 13.78/8.92 tff(754,plain,
% 13.78/8.92 (![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[753, 746])).
% 13.78/8.92 tff(755,plain,
% 13.78/8.92 (![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[754, 744])).
% 13.78/8.92 tff(756,plain,
% 13.78/8.92 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 2) | (~v84(constB43, 0)))))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(757,plain,
% 13.78/8.92 (v145(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 2) | (~v84(constB43, 0))))),
% 13.78/8.92 inference(unit_resolution,[status(thm)],[756, 755])).
% 13.78/8.92 tff(758,plain,
% 13.78/8.92 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext)))))))),
% 13.78/8.92 inference(bind,[status(th)],[])).
% 13.78/8.92 tff(759,plain,
% 13.78/8.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext)))))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))),
% 13.78/8.92 inference(quant_intro,[status(thm)],[758])).
% 13.78/8.92 tff(760,plain,
% 13.78/8.92 (^[VarNext: state_type, VarCurr: state_type] : rewrite(((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext)))))))),
% 13.78/8.92 inference(bind,[status(th)],[])).
% 13.78/8.92 tff(761,plain,
% 13.78/8.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))),
% 13.78/8.92 inference(quant_intro,[status(thm)],[760])).
% 13.78/8.92 tff(762,plain,
% 13.78/8.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))),
% 13.78/8.92 inference(rewrite,[status(thm)],[])).
% 13.78/8.92 tff(763,plain,
% 13.78/8.92 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))))),
% 13.78/8.92 inference(bind,[status(th)],[])).
% 13.78/8.92 tff(764,plain,
% 13.78/8.92 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))),
% 13.78/8.92 inference(quant_intro,[status(thm)],[763])).
% 13.78/8.92 tff(765,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27')).
% 13.78/8.92 tff(766,plain,
% 13.78/8.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[765, 764])).
% 13.78/8.92 tff(767,plain,
% 13.78/8.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[766, 762])).
% 13.78/8.92 tff(768,plain,(
% 13.78/8.92 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))),
% 13.78/8.92 inference(skolemize,[status(sab)],[767])).
% 13.78/8.92 tff(769,plain,
% 13.78/8.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[768, 761])).
% 13.78/8.92 tff(770,plain,
% 13.78/8.92 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[769, 759])).
% 13.78/8.92 tff(771,plain,
% 13.78/8.92 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 13.78/8.92 inference(rewrite,[status(thm)],[])).
% 13.78/8.92 tff(772,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_42')).
% 13.78/8.92 tff(773,plain,
% 13.78/8.92 (nextState(constB42, constB43)),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[772, 771])).
% 13.78/8.92 tff(774,plain,
% 13.78/8.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB42, constB43)) | (v94(constB43) <=> (~((~v95(constB43)) | (~v104(constB43))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB42, constB43)) | (v94(constB43) <=> (~((~v95(constB43)) | (~v104(constB43))))))),
% 13.78/8.92 inference(rewrite,[status(thm)],[])).
% 13.78/8.92 tff(775,plain,
% 13.78/8.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB42, constB43)) | (v94(constB43) <=> (~((~v95(constB43)) | (~v104(constB43))))))),
% 13.78/8.92 inference(quant_inst,[status(thm)],[])).
% 13.78/8.92 tff(776,plain,
% 13.78/8.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB42, constB43)) | (v94(constB43) <=> (~((~v95(constB43)) | (~v104(constB43)))))),
% 13.78/8.92 inference(modus_ponens,[status(thm)],[775, 774])).
% 13.78/8.92 tff(777,plain,
% 13.78/8.92 (v94(constB43) <=> (~((~v95(constB43)) | (~v104(constB43))))),
% 13.78/8.93 inference(unit_resolution,[status(thm)],[776, 773, 770])).
% 13.78/8.93 tff(778,plain,
% 13.78/8.93 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext)))))))),
% 13.78/8.93 inference(bind,[status(th)],[])).
% 13.78/8.93 tff(779,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext)))))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))),
% 13.78/8.93 inference(quant_intro,[status(thm)],[778])).
% 13.78/8.93 tff(780,plain,
% 13.78/8.93 (^[VarNext: state_type, VarCurr: state_type] : rewrite(((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext)))))))),
% 13.78/8.93 inference(bind,[status(th)],[])).
% 13.78/8.93 tff(781,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))),
% 13.78/8.93 inference(quant_intro,[status(thm)],[780])).
% 13.78/8.93 tff(782,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))),
% 13.78/8.93 inference(rewrite,[status(thm)],[])).
% 13.78/8.93 tff(783,plain,
% 13.78/8.93 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))))),
% 13.78/8.93 inference(bind,[status(th)],[])).
% 13.78/8.93 tff(784,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))),
% 13.78/8.93 inference(quant_intro,[status(thm)],[783])).
% 13.78/8.93 tff(785,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18')).
% 13.78/8.93 tff(786,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))),
% 13.78/8.93 inference(modus_ponens,[status(thm)],[785, 784])).
% 13.78/8.93 tff(787,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))),
% 13.78/8.93 inference(modus_ponens,[status(thm)],[786, 782])).
% 13.78/8.93 tff(788,plain,(
% 13.78/8.93 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))),
% 13.78/8.93 inference(skolemize,[status(sab)],[787])).
% 13.78/8.93 tff(789,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))),
% 13.78/8.93 inference(modus_ponens,[status(thm)],[788, 781])).
% 13.78/8.93 tff(790,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))),
% 13.78/8.93 inference(modus_ponens,[status(thm)],[789, 779])).
% 13.78/8.93 tff(791,plain,
% 13.78/8.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43))))))),
% 13.78/8.93 inference(rewrite,[status(thm)],[])).
% 13.78/8.93 tff(792,plain,
% 13.78/8.93 (((~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v96(constB43)) | (~v1(constB43)))))) <=> ((~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43))))))),
% 13.78/8.93 inference(rewrite,[status(thm)],[])).
% 13.78/8.93 tff(793,plain,
% 13.78/8.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v96(constB43)) | (~v1(constB43))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43)))))))),
% 13.78/8.93 inference(monotonicity,[status(thm)],[792])).
% 13.78/8.93 tff(794,plain,
% 13.78/8.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v96(constB43)) | (~v1(constB43))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43))))))),
% 13.78/8.93 inference(transitivity,[status(thm)],[793, 791])).
% 13.78/8.93 tff(795,plain,
% 13.78/8.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v96(constB43)) | (~v1(constB43))))))),
% 13.78/8.93 inference(quant_inst,[status(thm)],[])).
% 13.78/8.93 tff(796,plain,
% 13.78/8.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43)))))),
% 13.78/8.93 inference(modus_ponens,[status(thm)],[795, 794])).
% 13.78/8.93 tff(797,plain,
% 13.78/8.93 (v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43))))),
% 13.78/8.93 inference(unit_resolution,[status(thm)],[796, 773, 790])).
% 13.78/8.93 tff(798,plain,
% 13.78/8.93 (((~v1(constB43)) | (~v96(constB43))) | v1(constB43)),
% 13.78/8.93 inference(tautology,[status(thm)],[])).
% 13.78/8.93 tff(799,plain,
% 13.78/8.93 ((~v1(constB43)) | (~v96(constB43))),
% 13.78/8.93 inference(unit_resolution,[status(thm)],[798, 720])).
% 13.78/8.93 tff(800,plain,
% 13.78/8.93 ((~(v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43)))))) | (~v95(constB43)) | (~((~v1(constB43)) | (~v96(constB43))))),
% 13.78/8.93 inference(tautology,[status(thm)],[])).
% 13.78/8.93 tff(801,plain,
% 13.78/8.93 ((~(v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43)))))) | (~v95(constB43))),
% 13.78/8.93 inference(unit_resolution,[status(thm)],[800, 799])).
% 13.78/8.93 tff(802,plain,
% 13.78/8.93 (~v95(constB43)),
% 13.78/8.93 inference(unit_resolution,[status(thm)],[801, 797])).
% 13.78/8.93 tff(803,plain,
% 13.78/8.93 (((~v95(constB43)) | (~v104(constB43))) | v95(constB43)),
% 13.78/8.93 inference(tautology,[status(thm)],[])).
% 13.78/8.93 tff(804,plain,
% 13.78/8.93 ((~v95(constB43)) | (~v104(constB43))),
% 13.78/8.93 inference(unit_resolution,[status(thm)],[803, 802])).
% 13.78/8.93 tff(805,plain,
% 13.78/8.93 ((~(v94(constB43) <=> (~((~v95(constB43)) | (~v104(constB43)))))) | (~v94(constB43)) | (~((~v95(constB43)) | (~v104(constB43))))),
% 13.78/8.93 inference(tautology,[status(thm)],[])).
% 13.78/8.93 tff(806,plain,
% 13.78/8.93 (~v94(constB43)),
% 13.78/8.93 inference(unit_resolution,[status(thm)],[805, 804, 777])).
% 13.78/8.93 tff(807,plain,
% 13.78/8.93 (^[VarNext: state_type, VarCurr: state_type] : refl((v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0))))) <=> (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0))))))),
% 13.78/8.93 inference(bind,[status(th)],[])).
% 13.78/8.93 tff(808,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0))))) <=> ![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))),
% 13.78/8.93 inference(quant_intro,[status(thm)],[807])).
% 13.78/8.93 tff(809,plain,
% 13.78/8.93 (^[VarNext: state_type, VarCurr: state_type] : rewrite((v94(VarNext) | (~nextState(VarCurr, VarNext)) | ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0)))) <=> (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0))))))),
% 13.78/8.93 inference(bind,[status(th)],[])).
% 13.78/8.93 tff(810,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0)))) <=> ![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))),
% 13.78/8.93 inference(quant_intro,[status(thm)],[809])).
% 13.78/8.93 tff(811,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0)))) <=> ![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0))))),
% 13.78/8.93 inference(rewrite,[status(thm)],[])).
% 13.78/8.93 tff(812,plain,
% 13.78/8.93 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1))) & (v84(VarNext, 0) <=> v84(VarCurr, 0))) <=> ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0)))), (((~v94(VarNext)) => (((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1))) & (v84(VarNext, 0) <=> v84(VarCurr, 0)))) <=> ((~v94(VarNext)) => ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0)))))), rewrite(((~v94(VarNext)) => ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0)))) <=> (v94(VarNext) | ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0))))), (((~v94(VarNext)) => (((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1))) & (v84(VarNext, 0) <=> v84(VarCurr, 0)))) <=> (v94(VarNext) | ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0)))))), ((nextState(VarCurr, VarNext) => ((~v94(VarNext)) => (((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1))) & (v84(VarNext, 0) <=> v84(VarCurr, 0))))) <=> (nextState(VarCurr, VarNext) => (v94(VarNext) | ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0))))))), rewrite((nextState(VarCurr, VarNext) => (v94(VarNext) | ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0))))) <=> (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0))))), ((nextState(VarCurr, VarNext) => ((~v94(VarNext)) => (((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1))) & (v84(VarNext, 0) <=> v84(VarCurr, 0))))) <=> (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0))))))),
% 13.78/8.93 inference(bind,[status(th)],[])).
% 13.78/8.93 tff(813,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => ((~v94(VarNext)) => (((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1))) & (v84(VarNext, 0) <=> v84(VarCurr, 0))))) <=> ![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0))))),
% 13.78/8.93 inference(quant_intro,[status(thm)],[812])).
% 13.78/8.93 tff(814,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => ((~v94(VarNext)) => (((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1))) & (v84(VarNext, 0) <=> v84(VarCurr, 0)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1')).
% 13.78/8.93 tff(815,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0))))),
% 13.78/8.93 inference(modus_ponens,[status(thm)],[814, 813])).
% 13.78/8.93 tff(816,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0))))),
% 13.78/8.93 inference(modus_ponens,[status(thm)],[815, 811])).
% 13.78/8.93 tff(817,plain,(
% 13.78/8.93 ![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ((v84(VarNext, 2) <=> v84(VarCurr, 2)) & (v84(VarNext, 1) <=> v84(VarCurr, 1)) & (v84(VarNext, 0) <=> v84(VarCurr, 0))))),
% 13.78/8.93 inference(skolemize,[status(sab)],[816])).
% 13.78/8.93 tff(818,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))),
% 13.78/8.93 inference(modus_ponens,[status(thm)],[817, 810])).
% 13.78/8.93 tff(819,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))),
% 13.78/8.93 inference(modus_ponens,[status(thm)],[818, 808])).
% 13.78/8.93 tff(820,plain,
% 13.78/8.93 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB43) | (~nextState(constB42, constB43)) | (~(((~v84(constB43, 1)) <=> v84(constB42, 1)) | ((~v84(constB43, 2)) <=> v84(constB42, 2)) | ((~v84(constB43, 0)) <=> v84(constB42, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB43) | (~nextState(constB42, constB43)) | (~(((~v84(constB43, 1)) <=> v84(constB42, 1)) | ((~v84(constB43, 2)) <=> v84(constB42, 2)) | ((~v84(constB43, 0)) <=> v84(constB42, 0)))))),
% 13.78/8.93 inference(rewrite,[status(thm)],[])).
% 13.78/8.93 tff(821,plain,
% 13.78/8.93 ((v94(constB43) | (~nextState(constB42, constB43)) | (~(((~v84(constB43, 2)) <=> v84(constB42, 2)) | ((~v84(constB43, 1)) <=> v84(constB42, 1)) | ((~v84(constB43, 0)) <=> v84(constB42, 0))))) <=> (v94(constB43) | (~nextState(constB42, constB43)) | (~(((~v84(constB43, 1)) <=> v84(constB42, 1)) | ((~v84(constB43, 2)) <=> v84(constB42, 2)) | ((~v84(constB43, 0)) <=> v84(constB42, 0)))))),
% 13.78/8.93 inference(rewrite,[status(thm)],[])).
% 13.78/8.93 tff(822,plain,
% 13.78/8.93 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB43) | (~nextState(constB42, constB43)) | (~(((~v84(constB43, 2)) <=> v84(constB42, 2)) | ((~v84(constB43, 1)) <=> v84(constB42, 1)) | ((~v84(constB43, 0)) <=> v84(constB42, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB43) | (~nextState(constB42, constB43)) | (~(((~v84(constB43, 1)) <=> v84(constB42, 1)) | ((~v84(constB43, 2)) <=> v84(constB42, 2)) | ((~v84(constB43, 0)) <=> v84(constB42, 0))))))),
% 13.78/8.93 inference(monotonicity,[status(thm)],[821])).
% 13.78/8.93 tff(823,plain,
% 13.78/8.93 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB43) | (~nextState(constB42, constB43)) | (~(((~v84(constB43, 2)) <=> v84(constB42, 2)) | ((~v84(constB43, 1)) <=> v84(constB42, 1)) | ((~v84(constB43, 0)) <=> v84(constB42, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB43) | (~nextState(constB42, constB43)) | (~(((~v84(constB43, 1)) <=> v84(constB42, 1)) | ((~v84(constB43, 2)) <=> v84(constB42, 2)) | ((~v84(constB43, 0)) <=> v84(constB42, 0)))))),
% 13.78/8.93 inference(transitivity,[status(thm)],[822, 820])).
% 13.78/8.93 tff(824,plain,
% 13.78/8.93 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB43) | (~nextState(constB42, constB43)) | (~(((~v84(constB43, 2)) <=> v84(constB42, 2)) | ((~v84(constB43, 1)) <=> v84(constB42, 1)) | ((~v84(constB43, 0)) <=> v84(constB42, 0)))))),
% 13.78/8.93 inference(quant_inst,[status(thm)],[])).
% 13.78/8.93 tff(825,plain,
% 13.78/8.93 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB43) | (~nextState(constB42, constB43)) | (~(((~v84(constB43, 1)) <=> v84(constB42, 1)) | ((~v84(constB43, 2)) <=> v84(constB42, 2)) | ((~v84(constB43, 0)) <=> v84(constB42, 0))))),
% 13.78/8.93 inference(modus_ponens,[status(thm)],[824, 823])).
% 13.78/8.93 tff(826,plain,
% 13.78/8.93 (v94(constB43) | (~(((~v84(constB43, 1)) <=> v84(constB42, 1)) | ((~v84(constB43, 2)) <=> v84(constB42, 2)) | ((~v84(constB43, 0)) <=> v84(constB42, 0))))),
% 13.78/8.93 inference(unit_resolution,[status(thm)],[825, 773, 819])).
% 13.78/8.93 tff(827,plain,
% 13.78/8.93 (~(((~v84(constB43, 1)) <=> v84(constB42, 1)) | ((~v84(constB43, 2)) <=> v84(constB42, 2)) | ((~v84(constB43, 0)) <=> v84(constB42, 0)))),
% 13.78/8.93 inference(unit_resolution,[status(thm)],[826, 806])).
% 13.78/8.93 tff(828,plain,
% 13.78/8.93 ((((~v84(constB43, 1)) <=> v84(constB42, 1)) | ((~v84(constB43, 2)) <=> v84(constB42, 2)) | ((~v84(constB43, 0)) <=> v84(constB42, 0))) | (~((~v84(constB43, 0)) <=> v84(constB42, 0)))),
% 13.78/8.93 inference(tautology,[status(thm)],[])).
% 13.78/8.93 tff(829,plain,
% 13.78/8.93 (~((~v84(constB43, 0)) <=> v84(constB42, 0))),
% 13.78/8.93 inference(unit_resolution,[status(thm)],[828, 827])).
% 13.78/8.93 tff(830,plain,
% 13.78/8.93 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0))))) <=> ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0))))))),
% 13.78/8.93 inference(bind,[status(th)],[])).
% 13.78/8.93 tff(831,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0))))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))),
% 13.78/8.93 inference(quant_intro,[status(thm)],[830])).
% 13.78/8.93 tff(832,plain,
% 13.78/8.93 (^[VarNext: state_type, VarCurr: state_type] : rewrite(((~nextState(VarCurr, VarNext)) | ((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1)) & (v123(VarNext, 0) <=> v121(VarCurr, 0)))) <=> ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0))))))),
% 13.78/8.93 inference(bind,[status(th)],[])).
% 13.78/8.93 tff(833,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1)) & (v123(VarNext, 0) <=> v121(VarCurr, 0)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))),
% 13.78/8.93 inference(quant_intro,[status(thm)],[832])).
% 13.78/8.93 tff(834,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1)) & (v123(VarNext, 0) <=> v121(VarCurr, 0)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1)) & (v123(VarNext, 0) <=> v121(VarCurr, 0))))),
% 13.78/8.93 inference(rewrite,[status(thm)],[])).
% 13.78/8.93 tff(835,plain,
% 13.78/8.93 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite((((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1))) & (v123(VarNext, 0) <=> v121(VarCurr, 0))) <=> ((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1)) & (v123(VarNext, 0) <=> v121(VarCurr, 0)))), ((nextState(VarCurr, VarNext) => (((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1))) & (v123(VarNext, 0) <=> v121(VarCurr, 0)))) <=> (nextState(VarCurr, VarNext) => ((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1)) & (v123(VarNext, 0) <=> v121(VarCurr, 0)))))), rewrite((nextState(VarCurr, VarNext) => ((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1)) & (v123(VarNext, 0) <=> v121(VarCurr, 0)))) <=> ((~nextState(VarCurr, VarNext)) | ((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1)) & (v123(VarNext, 0) <=> v121(VarCurr, 0))))), ((nextState(VarCurr, VarNext) => (((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1))) & (v123(VarNext, 0) <=> v121(VarCurr, 0)))) <=> ((~nextState(VarCurr, VarNext)) | ((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1)) & (v123(VarNext, 0) <=> v121(VarCurr, 0))))))),
% 13.78/8.93 inference(bind,[status(th)],[])).
% 13.78/8.93 tff(836,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1))) & (v123(VarNext, 0) <=> v121(VarCurr, 0)))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1)) & (v123(VarNext, 0) <=> v121(VarCurr, 0))))),
% 13.78/8.93 inference(quant_intro,[status(thm)],[835])).
% 13.78/8.93 tff(837,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1))) & (v123(VarNext, 0) <=> v121(VarCurr, 0))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7')).
% 13.78/8.93 tff(838,plain,
% 13.78/8.93 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1)) & (v123(VarNext, 0) <=> v121(VarCurr, 0))))),
% 13.78/8.93 inference(modus_ponens,[status(thm)],[837, 836])).
% 13.78/8.94 tff(839,plain,
% 13.78/8.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1)) & (v123(VarNext, 0) <=> v121(VarCurr, 0))))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[838, 834])).
% 13.78/8.94 tff(840,plain,(
% 13.78/8.94 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((v123(VarNext, 2) <=> v121(VarCurr, 2)) & (v123(VarNext, 1) <=> v121(VarCurr, 1)) & (v123(VarNext, 0) <=> v121(VarCurr, 0))))),
% 13.78/8.94 inference(skolemize,[status(sab)],[839])).
% 13.78/8.94 tff(841,plain,
% 13.78/8.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[840, 833])).
% 13.78/8.94 tff(842,plain,
% 13.78/8.94 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[841, 831])).
% 13.78/8.94 tff(843,plain,
% 13.78/8.94 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 13.78/8.94 inference(rewrite,[status(thm)],[])).
% 13.78/8.94 tff(844,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_41')).
% 13.78/8.94 tff(845,plain,
% 13.78/8.94 (nextState(constB41, constB42)),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[844, 843])).
% 13.78/8.94 tff(846,plain,
% 13.78/8.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB41, constB42)) | (~(((~v123(constB42, 2)) <=> v121(constB41, 2)) | ((~v123(constB42, 1)) <=> v121(constB41, 1)) | ((~v123(constB42, 0)) <=> v121(constB41, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB41, constB42)) | (~(((~v123(constB42, 2)) <=> v121(constB41, 2)) | ((~v123(constB42, 1)) <=> v121(constB41, 1)) | ((~v123(constB42, 0)) <=> v121(constB41, 0)))))),
% 13.78/8.94 inference(rewrite,[status(thm)],[])).
% 13.78/8.94 tff(847,plain,
% 13.78/8.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB41, constB42)) | (~(((~v123(constB42, 2)) <=> v121(constB41, 2)) | ((~v123(constB42, 1)) <=> v121(constB41, 1)) | ((~v123(constB42, 0)) <=> v121(constB41, 0)))))),
% 13.78/8.94 inference(quant_inst,[status(thm)],[])).
% 13.78/8.94 tff(848,plain,
% 13.78/8.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB41, constB42)) | (~(((~v123(constB42, 2)) <=> v121(constB41, 2)) | ((~v123(constB42, 1)) <=> v121(constB41, 1)) | ((~v123(constB42, 0)) <=> v121(constB41, 0))))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[847, 846])).
% 13.78/8.94 tff(849,plain,
% 13.78/8.94 (~(((~v123(constB42, 2)) <=> v121(constB41, 2)) | ((~v123(constB42, 1)) <=> v121(constB41, 1)) | ((~v123(constB42, 0)) <=> v121(constB41, 0)))),
% 13.78/8.94 inference(unit_resolution,[status(thm)],[848, 845, 842])).
% 13.78/8.94 tff(850,plain,
% 13.78/8.94 ((((~v123(constB42, 2)) <=> v121(constB41, 2)) | ((~v123(constB42, 1)) <=> v121(constB41, 1)) | ((~v123(constB42, 0)) <=> v121(constB41, 0))) | (~((~v123(constB42, 0)) <=> v121(constB41, 0)))),
% 13.78/8.94 inference(tautology,[status(thm)],[])).
% 13.78/8.94 tff(851,plain,
% 13.78/8.94 (~((~v123(constB42, 0)) <=> v121(constB41, 0))),
% 13.78/8.94 inference(unit_resolution,[status(thm)],[850, 849])).
% 13.78/8.94 tff(852,plain,
% 13.78/8.94 (^[VarCurr: state_type] : refl((v105(VarCurr) <=> v26(VarCurr)) <=> (v105(VarCurr) <=> v26(VarCurr)))),
% 13.78/8.94 inference(bind,[status(th)],[])).
% 13.78/8.94 tff(853,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))),
% 13.78/8.94 inference(quant_intro,[status(thm)],[852])).
% 13.78/8.94 tff(854,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))),
% 13.78/8.94 inference(rewrite,[status(thm)],[])).
% 13.78/8.94 tff(855,plain,
% 13.78/8.94 (^[VarCurr: state_type] : rewrite((v105(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> (v105(VarCurr) <=> v26(VarCurr)))),
% 13.78/8.94 inference(bind,[status(th)],[])).
% 13.78/8.94 tff(856,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v105(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> ![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))),
% 13.78/8.94 inference(quant_intro,[status(thm)],[855])).
% 13.78/8.94 tff(857,axiom,(![VarCurr: state_type] : (v105(VarCurr) <=> (v26(VarCurr) <=> $true))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_1')).
% 13.78/8.94 tff(858,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[857, 856])).
% 13.78/8.94 tff(859,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[858, 854])).
% 13.78/8.94 tff(860,plain,(
% 13.78/8.94 ![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))),
% 13.78/8.94 inference(skolemize,[status(sab)],[859])).
% 13.78/8.94 tff(861,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[860, 853])).
% 13.78/8.94 tff(862,plain,
% 13.78/8.94 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB41) <=> v26(constB41))),
% 13.78/8.94 inference(quant_inst,[status(thm)],[])).
% 13.78/8.94 tff(863,plain,
% 13.78/8.94 (v105(constB41) <=> v26(constB41)),
% 13.78/8.94 inference(unit_resolution,[status(thm)],[862, 861])).
% 13.78/8.94 tff(864,plain,
% 13.78/8.94 (^[VarCurr: state_type] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 13.78/8.94 inference(bind,[status(th)],[])).
% 13.78/8.94 tff(865,plain,
% 13.78/8.94 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 13.78/8.94 inference(quant_intro,[status(thm)],[864])).
% 13.78/8.94 tff(866,plain,
% 13.78/8.94 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 13.78/8.94 inference(rewrite,[status(thm)],[])).
% 13.78/8.94 tff(867,plain,
% 13.78/8.94 (^[VarCurr: state_type] : rewrite((v26(VarCurr) <=> $false) <=> (~v26(VarCurr)))),
% 13.78/8.94 inference(bind,[status(th)],[])).
% 13.78/8.94 tff(868,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v26(VarCurr) <=> $false) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 13.78/8.94 inference(quant_intro,[status(thm)],[867])).
% 13.78/8.94 tff(869,axiom,(![VarCurr: state_type] : (v26(VarCurr) <=> $false)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_1')).
% 13.78/8.94 tff(870,plain,
% 13.78/8.94 (![VarCurr: state_type] : (~v26(VarCurr))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[869, 868])).
% 13.78/8.94 tff(871,plain,
% 13.78/8.94 (![VarCurr: state_type] : (~v26(VarCurr))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[870, 866])).
% 13.78/8.94 tff(872,plain,(
% 13.78/8.94 ![VarCurr: state_type] : (~v26(VarCurr))),
% 13.78/8.94 inference(skolemize,[status(sab)],[871])).
% 13.78/8.94 tff(873,plain,
% 13.78/8.94 (![VarCurr: state_type] : (~v26(VarCurr))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[872, 865])).
% 13.78/8.94 tff(874,plain,
% 13.78/8.94 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB41))),
% 13.78/8.94 inference(quant_inst,[status(thm)],[])).
% 13.78/8.94 tff(875,plain,
% 13.78/8.94 (~v26(constB41)),
% 13.78/8.94 inference(unit_resolution,[status(thm)],[874, 873])).
% 13.78/8.94 tff(876,plain,
% 13.78/8.94 ((~(v105(constB41) <=> v26(constB41))) | (~v105(constB41)) | v26(constB41)),
% 13.78/8.94 inference(tautology,[status(thm)],[])).
% 13.78/8.94 tff(877,plain,
% 13.78/8.94 ((~(v105(constB41) <=> v26(constB41))) | (~v105(constB41))),
% 13.78/8.94 inference(unit_resolution,[status(thm)],[876, 875])).
% 13.78/8.94 tff(878,plain,
% 13.78/8.94 (~v105(constB41)),
% 13.78/8.94 inference(unit_resolution,[status(thm)],[877, 863])).
% 13.78/8.94 tff(879,plain,
% 13.78/8.94 (^[VarCurr: state_type] : refl((v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1))))) <=> (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1))))))),
% 13.78/8.94 inference(bind,[status(th)],[])).
% 13.78/8.94 tff(880,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1))))) <=> ![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))),
% 13.78/8.94 inference(quant_intro,[status(thm)],[879])).
% 13.78/8.94 tff(881,plain,
% 13.78/8.94 (^[VarCurr: state_type] : rewrite((v105(VarCurr) | ((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1)) & (v121(VarCurr, 0) <=> v124(VarCurr, 0)))) <=> (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1))))))),
% 13.78/8.94 inference(bind,[status(th)],[])).
% 13.78/8.94 tff(882,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v105(VarCurr) | ((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1)) & (v121(VarCurr, 0) <=> v124(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))),
% 13.78/8.94 inference(quant_intro,[status(thm)],[881])).
% 13.78/8.94 tff(883,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v105(VarCurr) | ((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1)) & (v121(VarCurr, 0) <=> v124(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v105(VarCurr) | ((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1)) & (v121(VarCurr, 0) <=> v124(VarCurr, 0))))),
% 13.78/8.94 inference(rewrite,[status(thm)],[])).
% 13.78/8.94 tff(884,plain,
% 13.78/8.94 (^[VarCurr: state_type] : trans(monotonicity(rewrite((((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1))) & (v121(VarCurr, 0) <=> v124(VarCurr, 0))) <=> ((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1)) & (v121(VarCurr, 0) <=> v124(VarCurr, 0)))), (((~v105(VarCurr)) => (((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1))) & (v121(VarCurr, 0) <=> v124(VarCurr, 0)))) <=> ((~v105(VarCurr)) => ((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1)) & (v121(VarCurr, 0) <=> v124(VarCurr, 0)))))), rewrite(((~v105(VarCurr)) => ((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1)) & (v121(VarCurr, 0) <=> v124(VarCurr, 0)))) <=> (v105(VarCurr) | ((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1)) & (v121(VarCurr, 0) <=> v124(VarCurr, 0))))), (((~v105(VarCurr)) => (((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1))) & (v121(VarCurr, 0) <=> v124(VarCurr, 0)))) <=> (v105(VarCurr) | ((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1)) & (v121(VarCurr, 0) <=> v124(VarCurr, 0))))))),
% 13.78/8.94 inference(bind,[status(th)],[])).
% 13.78/8.94 tff(885,plain,
% 13.78/8.94 (![VarCurr: state_type] : ((~v105(VarCurr)) => (((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1))) & (v121(VarCurr, 0) <=> v124(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v105(VarCurr) | ((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1)) & (v121(VarCurr, 0) <=> v124(VarCurr, 0))))),
% 13.78/8.94 inference(quant_intro,[status(thm)],[884])).
% 13.78/8.94 tff(886,axiom,(![VarCurr: state_type] : ((~v105(VarCurr)) => (((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1))) & (v121(VarCurr, 0) <=> v124(VarCurr, 0))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1')).
% 13.78/8.94 tff(887,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v105(VarCurr) | ((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1)) & (v121(VarCurr, 0) <=> v124(VarCurr, 0))))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[886, 885])).
% 13.78/8.94 tff(888,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v105(VarCurr) | ((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1)) & (v121(VarCurr, 0) <=> v124(VarCurr, 0))))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[887, 883])).
% 13.78/8.94 tff(889,plain,(
% 13.78/8.94 ![VarCurr: state_type] : (v105(VarCurr) | ((v121(VarCurr, 2) <=> v124(VarCurr, 2)) & (v121(VarCurr, 1) <=> v124(VarCurr, 1)) & (v121(VarCurr, 0) <=> v124(VarCurr, 0))))),
% 13.78/8.94 inference(skolemize,[status(sab)],[888])).
% 13.78/8.94 tff(890,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[889, 882])).
% 13.78/8.94 tff(891,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[890, 880])).
% 13.78/8.94 tff(892,plain,
% 13.78/8.94 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB41) | (~(((~v121(constB41, 2)) <=> v124(constB41, 2)) | ((~v121(constB41, 0)) <=> v124(constB41, 0)) | ((~v121(constB41, 1)) <=> v124(constB41, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB41) | (~(((~v121(constB41, 2)) <=> v124(constB41, 2)) | ((~v121(constB41, 0)) <=> v124(constB41, 0)) | ((~v121(constB41, 1)) <=> v124(constB41, 1)))))),
% 13.78/8.94 inference(rewrite,[status(thm)],[])).
% 13.78/8.94 tff(893,plain,
% 13.78/8.94 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB41) | (~(((~v121(constB41, 2)) <=> v124(constB41, 2)) | ((~v121(constB41, 0)) <=> v124(constB41, 0)) | ((~v121(constB41, 1)) <=> v124(constB41, 1)))))),
% 13.78/8.94 inference(quant_inst,[status(thm)],[])).
% 13.78/8.94 tff(894,plain,
% 13.78/8.94 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB41) | (~(((~v121(constB41, 2)) <=> v124(constB41, 2)) | ((~v121(constB41, 0)) <=> v124(constB41, 0)) | ((~v121(constB41, 1)) <=> v124(constB41, 1))))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[893, 892])).
% 13.78/8.94 tff(895,plain,
% 13.78/8.94 (v105(constB41) | (~(((~v121(constB41, 2)) <=> v124(constB41, 2)) | ((~v121(constB41, 0)) <=> v124(constB41, 0)) | ((~v121(constB41, 1)) <=> v124(constB41, 1))))),
% 13.78/8.94 inference(unit_resolution,[status(thm)],[894, 891])).
% 13.78/8.94 tff(896,plain,
% 13.78/8.94 (~(((~v121(constB41, 2)) <=> v124(constB41, 2)) | ((~v121(constB41, 0)) <=> v124(constB41, 0)) | ((~v121(constB41, 1)) <=> v124(constB41, 1)))),
% 13.78/8.94 inference(unit_resolution,[status(thm)],[895, 878])).
% 13.78/8.94 tff(897,plain,
% 13.78/8.94 ((((~v121(constB41, 2)) <=> v124(constB41, 2)) | ((~v121(constB41, 0)) <=> v124(constB41, 0)) | ((~v121(constB41, 1)) <=> v124(constB41, 1))) | (~((~v121(constB41, 0)) <=> v124(constB41, 0)))),
% 13.78/8.94 inference(tautology,[status(thm)],[])).
% 13.78/8.94 tff(898,plain,
% 13.78/8.94 (~((~v121(constB41, 0)) <=> v124(constB41, 0))),
% 13.78/8.94 inference(unit_resolution,[status(thm)],[897, 896])).
% 13.78/8.94 tff(899,plain,
% 13.78/8.94 (^[VarCurr: state_type] : refl((v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0))))) <=> (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0))))))),
% 13.78/8.94 inference(bind,[status(th)],[])).
% 13.78/8.94 tff(900,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0))))) <=> ![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))),
% 13.78/8.94 inference(quant_intro,[status(thm)],[899])).
% 13.78/8.94 tff(901,plain,
% 13.78/8.94 (^[VarCurr: state_type] : rewrite((v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0))) <=> (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0))))))),
% 13.78/8.94 inference(bind,[status(th)],[])).
% 13.78/8.94 tff(902,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0))) <=> ![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))),
% 13.78/8.94 inference(quant_intro,[status(thm)],[901])).
% 13.78/8.94 tff(903,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0))) <=> ![VarCurr: state_type] : (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0)))),
% 13.78/8.94 inference(rewrite,[status(thm)],[])).
% 13.78/8.94 tff(904,plain,
% 13.78/8.94 (^[VarCurr: state_type] : rewrite((v116(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $true))) <=> (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0))))),
% 13.78/8.94 inference(bind,[status(th)],[])).
% 13.78/8.94 tff(905,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v116(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0)))),
% 13.78/8.94 inference(quant_intro,[status(thm)],[904])).
% 13.78/8.94 tff(906,axiom,(![VarCurr: state_type] : (v116(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5')).
% 13.78/8.94 tff(907,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0)))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[906, 905])).
% 13.78/8.94 tff(908,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0)))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[907, 903])).
% 13.78/8.94 tff(909,plain,(
% 13.78/8.94 ![VarCurr: state_type] : (v116(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & v84(VarCurr, 0)))),
% 13.78/8.94 inference(skolemize,[status(sab)],[908])).
% 13.78/8.94 tff(910,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[909, 902])).
% 13.78/8.94 tff(911,plain,
% 13.78/8.94 (![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[910, 900])).
% 13.78/8.94 tff(912,plain,
% 13.78/8.94 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB41) <=> (~(v84(constB41, 2) | (~v84(constB41, 1)) | (~v84(constB41, 0)))))),
% 13.78/8.94 inference(quant_inst,[status(thm)],[])).
% 13.78/8.94 tff(913,plain,
% 13.78/8.94 (v116(constB41) <=> (~(v84(constB41, 2) | (~v84(constB41, 1)) | (~v84(constB41, 0))))),
% 13.78/8.94 inference(unit_resolution,[status(thm)],[912, 911])).
% 13.78/8.94 tff(914,plain,
% 13.78/8.94 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 13.78/8.94 inference(rewrite,[status(thm)],[])).
% 13.78/8.94 tff(915,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_40')).
% 13.78/8.94 tff(916,plain,
% 13.78/8.94 (nextState(constB40, constB41)),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[915, 914])).
% 13.78/8.94 tff(917,plain,
% 13.78/8.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB40, constB41)) | (v94(constB41) <=> (~((~v95(constB41)) | (~v104(constB41))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB40, constB41)) | (v94(constB41) <=> (~((~v95(constB41)) | (~v104(constB41))))))),
% 13.78/8.94 inference(rewrite,[status(thm)],[])).
% 13.78/8.94 tff(918,plain,
% 13.78/8.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB40, constB41)) | (v94(constB41) <=> (~((~v95(constB41)) | (~v104(constB41))))))),
% 13.78/8.94 inference(quant_inst,[status(thm)],[])).
% 13.78/8.94 tff(919,plain,
% 13.78/8.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB40, constB41)) | (v94(constB41) <=> (~((~v95(constB41)) | (~v104(constB41)))))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[918, 917])).
% 13.78/8.94 tff(920,plain,
% 13.78/8.94 (v94(constB41) <=> (~((~v95(constB41)) | (~v104(constB41))))),
% 13.78/8.94 inference(unit_resolution,[status(thm)],[919, 916, 770])).
% 13.78/8.94 tff(921,plain,
% 13.78/8.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41))))))),
% 13.78/8.94 inference(rewrite,[status(thm)],[])).
% 13.78/8.94 tff(922,plain,
% 13.78/8.94 (((~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v96(constB41)) | (~v1(constB41)))))) <=> ((~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41))))))),
% 13.78/8.94 inference(rewrite,[status(thm)],[])).
% 13.78/8.94 tff(923,plain,
% 13.78/8.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v96(constB41)) | (~v1(constB41))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41)))))))),
% 13.78/8.94 inference(monotonicity,[status(thm)],[922])).
% 13.78/8.94 tff(924,plain,
% 13.78/8.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v96(constB41)) | (~v1(constB41))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41))))))),
% 13.78/8.94 inference(transitivity,[status(thm)],[923, 921])).
% 13.78/8.94 tff(925,plain,
% 13.78/8.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v96(constB41)) | (~v1(constB41))))))),
% 13.78/8.94 inference(quant_inst,[status(thm)],[])).
% 13.78/8.94 tff(926,plain,
% 13.78/8.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41)))))),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[925, 924])).
% 13.78/8.94 tff(927,plain,
% 13.78/8.94 (v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41))))),
% 13.78/8.94 inference(unit_resolution,[status(thm)],[926, 916, 790])).
% 13.78/8.94 tff(928,plain,
% 13.78/8.94 ((~v1(constB41)) <=> (~v1(constB41))),
% 13.78/8.94 inference(rewrite,[status(thm)],[])).
% 13.78/8.94 tff(929,axiom,(~v1(constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_41')).
% 13.78/8.94 tff(930,plain,
% 13.78/8.94 (~v1(constB41)),
% 13.78/8.94 inference(modus_ponens,[status(thm)],[929, 928])).
% 13.78/8.94 tff(931,plain,
% 13.78/8.94 (((~v1(constB41)) | (~v96(constB41))) | v1(constB41)),
% 13.78/8.94 inference(tautology,[status(thm)],[])).
% 13.78/8.94 tff(932,plain,
% 13.78/8.94 ((~v1(constB41)) | (~v96(constB41))),
% 13.78/8.94 inference(unit_resolution,[status(thm)],[931, 930])).
% 13.78/8.94 tff(933,plain,
% 13.78/8.94 ((~(v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41)))))) | (~v95(constB41)) | (~((~v1(constB41)) | (~v96(constB41))))),
% 13.78/8.94 inference(tautology,[status(thm)],[])).
% 13.78/8.94 tff(934,plain,
% 13.78/8.94 ((~(v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41)))))) | (~v95(constB41))),
% 13.78/8.94 inference(unit_resolution,[status(thm)],[933, 932])).
% 13.78/8.94 tff(935,plain,
% 13.78/8.94 (~v95(constB41)),
% 13.78/8.94 inference(unit_resolution,[status(thm)],[934, 927])).
% 13.78/8.94 tff(936,plain,
% 13.78/8.94 (((~v95(constB41)) | (~v104(constB41))) | v95(constB41)),
% 13.78/8.95 inference(tautology,[status(thm)],[])).
% 13.78/8.95 tff(937,plain,
% 13.78/8.95 ((~v95(constB41)) | (~v104(constB41))),
% 13.78/8.95 inference(unit_resolution,[status(thm)],[936, 935])).
% 13.78/8.95 tff(938,plain,
% 13.78/8.95 ((~(v94(constB41) <=> (~((~v95(constB41)) | (~v104(constB41)))))) | (~v94(constB41)) | (~((~v95(constB41)) | (~v104(constB41))))),
% 13.78/8.95 inference(tautology,[status(thm)],[])).
% 13.78/8.95 tff(939,plain,
% 13.78/8.95 (~v94(constB41)),
% 13.78/8.95 inference(unit_resolution,[status(thm)],[938, 937, 920])).
% 13.78/8.95 tff(940,plain,
% 13.78/8.95 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB41) | (~nextState(constB40, constB41)) | (~(((~v84(constB41, 1)) <=> v84(constB40, 1)) | ((~v84(constB41, 2)) <=> v84(constB40, 2)) | ((~v84(constB41, 0)) <=> v84(constB40, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB41) | (~nextState(constB40, constB41)) | (~(((~v84(constB41, 1)) <=> v84(constB40, 1)) | ((~v84(constB41, 2)) <=> v84(constB40, 2)) | ((~v84(constB41, 0)) <=> v84(constB40, 0)))))),
% 13.78/8.95 inference(rewrite,[status(thm)],[])).
% 13.78/8.95 tff(941,plain,
% 13.78/8.95 ((v94(constB41) | (~nextState(constB40, constB41)) | (~(((~v84(constB41, 2)) <=> v84(constB40, 2)) | ((~v84(constB41, 1)) <=> v84(constB40, 1)) | ((~v84(constB41, 0)) <=> v84(constB40, 0))))) <=> (v94(constB41) | (~nextState(constB40, constB41)) | (~(((~v84(constB41, 1)) <=> v84(constB40, 1)) | ((~v84(constB41, 2)) <=> v84(constB40, 2)) | ((~v84(constB41, 0)) <=> v84(constB40, 0)))))),
% 13.78/8.95 inference(rewrite,[status(thm)],[])).
% 13.78/8.95 tff(942,plain,
% 13.78/8.95 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB41) | (~nextState(constB40, constB41)) | (~(((~v84(constB41, 2)) <=> v84(constB40, 2)) | ((~v84(constB41, 1)) <=> v84(constB40, 1)) | ((~v84(constB41, 0)) <=> v84(constB40, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB41) | (~nextState(constB40, constB41)) | (~(((~v84(constB41, 1)) <=> v84(constB40, 1)) | ((~v84(constB41, 2)) <=> v84(constB40, 2)) | ((~v84(constB41, 0)) <=> v84(constB40, 0))))))),
% 13.78/8.95 inference(monotonicity,[status(thm)],[941])).
% 13.78/8.95 tff(943,plain,
% 13.78/8.95 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB41) | (~nextState(constB40, constB41)) | (~(((~v84(constB41, 2)) <=> v84(constB40, 2)) | ((~v84(constB41, 1)) <=> v84(constB40, 1)) | ((~v84(constB41, 0)) <=> v84(constB40, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB41) | (~nextState(constB40, constB41)) | (~(((~v84(constB41, 1)) <=> v84(constB40, 1)) | ((~v84(constB41, 2)) <=> v84(constB40, 2)) | ((~v84(constB41, 0)) <=> v84(constB40, 0)))))),
% 13.78/8.95 inference(transitivity,[status(thm)],[942, 940])).
% 13.78/8.95 tff(944,plain,
% 13.78/8.95 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB41) | (~nextState(constB40, constB41)) | (~(((~v84(constB41, 2)) <=> v84(constB40, 2)) | ((~v84(constB41, 1)) <=> v84(constB40, 1)) | ((~v84(constB41, 0)) <=> v84(constB40, 0)))))),
% 13.78/8.95 inference(quant_inst,[status(thm)],[])).
% 13.78/8.95 tff(945,plain,
% 13.78/8.95 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB41) | (~nextState(constB40, constB41)) | (~(((~v84(constB41, 1)) <=> v84(constB40, 1)) | ((~v84(constB41, 2)) <=> v84(constB40, 2)) | ((~v84(constB41, 0)) <=> v84(constB40, 0))))),
% 13.78/8.95 inference(modus_ponens,[status(thm)],[944, 943])).
% 13.78/8.95 tff(946,plain,
% 13.78/8.95 (v94(constB41) | (~(((~v84(constB41, 1)) <=> v84(constB40, 1)) | ((~v84(constB41, 2)) <=> v84(constB40, 2)) | ((~v84(constB41, 0)) <=> v84(constB40, 0))))),
% 13.78/8.95 inference(unit_resolution,[status(thm)],[945, 916, 819])).
% 13.78/8.95 tff(947,plain,
% 13.78/8.95 (~(((~v84(constB41, 1)) <=> v84(constB40, 1)) | ((~v84(constB41, 2)) <=> v84(constB40, 2)) | ((~v84(constB41, 0)) <=> v84(constB40, 0)))),
% 13.78/8.95 inference(unit_resolution,[status(thm)],[946, 939])).
% 13.78/8.95 tff(948,plain,
% 13.78/8.95 ((((~v84(constB41, 1)) <=> v84(constB40, 1)) | ((~v84(constB41, 2)) <=> v84(constB40, 2)) | ((~v84(constB41, 0)) <=> v84(constB40, 0))) | (~((~v84(constB41, 2)) <=> v84(constB40, 2)))),
% 13.78/8.95 inference(tautology,[status(thm)],[])).
% 13.78/8.95 tff(949,plain,
% 13.78/8.95 (~((~v84(constB41, 2)) <=> v84(constB40, 2))),
% 13.78/8.95 inference(unit_resolution,[status(thm)],[948, 947])).
% 13.78/8.95 tff(950,plain,
% 13.78/8.95 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 13.78/8.95 inference(rewrite,[status(thm)],[])).
% 13.78/8.95 tff(951,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_39')).
% 13.78/8.95 tff(952,plain,
% 13.78/8.95 (nextState(constB39, constB40)),
% 13.78/8.95 inference(modus_ponens,[status(thm)],[951, 950])).
% 13.78/8.95 tff(953,plain,
% 13.78/8.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB39, constB40)) | (~(((~v123(constB40, 2)) <=> v121(constB39, 2)) | ((~v123(constB40, 1)) <=> v121(constB39, 1)) | ((~v123(constB40, 0)) <=> v121(constB39, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB39, constB40)) | (~(((~v123(constB40, 2)) <=> v121(constB39, 2)) | ((~v123(constB40, 1)) <=> v121(constB39, 1)) | ((~v123(constB40, 0)) <=> v121(constB39, 0)))))),
% 13.78/8.95 inference(rewrite,[status(thm)],[])).
% 13.78/8.95 tff(954,plain,
% 13.78/8.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB39, constB40)) | (~(((~v123(constB40, 2)) <=> v121(constB39, 2)) | ((~v123(constB40, 1)) <=> v121(constB39, 1)) | ((~v123(constB40, 0)) <=> v121(constB39, 0)))))),
% 13.78/8.95 inference(quant_inst,[status(thm)],[])).
% 13.78/8.95 tff(955,plain,
% 13.78/8.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB39, constB40)) | (~(((~v123(constB40, 2)) <=> v121(constB39, 2)) | ((~v123(constB40, 1)) <=> v121(constB39, 1)) | ((~v123(constB40, 0)) <=> v121(constB39, 0))))),
% 13.78/8.95 inference(modus_ponens,[status(thm)],[954, 953])).
% 13.78/8.95 tff(956,plain,
% 13.78/8.95 (~(((~v123(constB40, 2)) <=> v121(constB39, 2)) | ((~v123(constB40, 1)) <=> v121(constB39, 1)) | ((~v123(constB40, 0)) <=> v121(constB39, 0)))),
% 13.78/8.95 inference(unit_resolution,[status(thm)],[955, 952, 842])).
% 13.78/8.95 tff(957,plain,
% 13.78/8.95 ((((~v123(constB40, 2)) <=> v121(constB39, 2)) | ((~v123(constB40, 1)) <=> v121(constB39, 1)) | ((~v123(constB40, 0)) <=> v121(constB39, 0))) | (~((~v123(constB40, 2)) <=> v121(constB39, 2)))),
% 13.78/8.95 inference(tautology,[status(thm)],[])).
% 13.78/8.95 tff(958,plain,
% 13.78/8.95 (~((~v123(constB40, 2)) <=> v121(constB39, 2))),
% 13.78/8.95 inference(unit_resolution,[status(thm)],[957, 956])).
% 13.78/8.95 tff(959,plain,
% 13.78/8.95 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB39) <=> v26(constB39))),
% 13.78/8.95 inference(quant_inst,[status(thm)],[])).
% 13.78/8.95 tff(960,plain,
% 13.78/8.95 (v105(constB39) <=> v26(constB39)),
% 13.78/8.95 inference(unit_resolution,[status(thm)],[959, 861])).
% 13.78/8.95 tff(961,plain,
% 13.78/8.95 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB39))),
% 13.78/8.95 inference(quant_inst,[status(thm)],[])).
% 13.78/8.95 tff(962,plain,
% 13.78/8.95 (~v26(constB39)),
% 13.78/8.95 inference(unit_resolution,[status(thm)],[961, 873])).
% 13.78/8.95 tff(963,plain,
% 13.78/8.95 ((~(v105(constB39) <=> v26(constB39))) | (~v105(constB39)) | v26(constB39)),
% 13.78/8.95 inference(tautology,[status(thm)],[])).
% 13.78/8.95 tff(964,plain,
% 13.78/8.95 ((~(v105(constB39) <=> v26(constB39))) | (~v105(constB39))),
% 13.78/8.95 inference(unit_resolution,[status(thm)],[963, 962])).
% 13.78/8.95 tff(965,plain,
% 13.78/8.95 (~v105(constB39)),
% 13.78/8.95 inference(unit_resolution,[status(thm)],[964, 960])).
% 13.78/8.95 tff(966,plain,
% 13.78/8.95 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB39) | (~(((~v121(constB39, 2)) <=> v124(constB39, 2)) | ((~v121(constB39, 0)) <=> v124(constB39, 0)) | ((~v121(constB39, 1)) <=> v124(constB39, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB39) | (~(((~v121(constB39, 2)) <=> v124(constB39, 2)) | ((~v121(constB39, 0)) <=> v124(constB39, 0)) | ((~v121(constB39, 1)) <=> v124(constB39, 1)))))),
% 13.78/8.95 inference(rewrite,[status(thm)],[])).
% 13.78/8.95 tff(967,plain,
% 13.78/8.95 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB39) | (~(((~v121(constB39, 2)) <=> v124(constB39, 2)) | ((~v121(constB39, 0)) <=> v124(constB39, 0)) | ((~v121(constB39, 1)) <=> v124(constB39, 1)))))),
% 13.78/8.95 inference(quant_inst,[status(thm)],[])).
% 13.78/8.95 tff(968,plain,
% 13.78/8.95 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB39) | (~(((~v121(constB39, 2)) <=> v124(constB39, 2)) | ((~v121(constB39, 0)) <=> v124(constB39, 0)) | ((~v121(constB39, 1)) <=> v124(constB39, 1))))),
% 13.78/8.95 inference(modus_ponens,[status(thm)],[967, 966])).
% 13.78/8.95 tff(969,plain,
% 13.78/8.95 (v105(constB39) | (~(((~v121(constB39, 2)) <=> v124(constB39, 2)) | ((~v121(constB39, 0)) <=> v124(constB39, 0)) | ((~v121(constB39, 1)) <=> v124(constB39, 1))))),
% 13.78/8.95 inference(unit_resolution,[status(thm)],[968, 891])).
% 13.78/8.95 tff(970,plain,
% 13.78/8.95 (~(((~v121(constB39, 2)) <=> v124(constB39, 2)) | ((~v121(constB39, 0)) <=> v124(constB39, 0)) | ((~v121(constB39, 1)) <=> v124(constB39, 1)))),
% 13.78/8.95 inference(unit_resolution,[status(thm)],[969, 965])).
% 13.78/8.95 tff(971,plain,
% 13.78/8.95 ((((~v121(constB39, 2)) <=> v124(constB39, 2)) | ((~v121(constB39, 0)) <=> v124(constB39, 0)) | ((~v121(constB39, 1)) <=> v124(constB39, 1))) | (~((~v121(constB39, 2)) <=> v124(constB39, 2)))),
% 13.78/8.95 inference(tautology,[status(thm)],[])).
% 13.78/8.95 tff(972,plain,
% 13.78/8.95 (~((~v121(constB39, 2)) <=> v124(constB39, 2))),
% 13.78/8.95 inference(unit_resolution,[status(thm)],[971, 970])).
% 13.78/8.95 tff(973,plain,
% 13.78/8.95 (^[VarCurr: state_type] : refl((v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1))))) <=> (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1))))))),
% 13.78/8.95 inference(bind,[status(th)],[])).
% 13.78/8.95 tff(974,plain,
% 13.78/8.95 (![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1))))) <=> ![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))),
% 13.78/8.95 inference(quant_intro,[status(thm)],[973])).
% 13.78/8.95 tff(975,plain,
% 13.78/8.95 (^[VarCurr: state_type] : rewrite((v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))) <=> (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1))))))),
% 13.78/8.95 inference(bind,[status(th)],[])).
% 13.78/8.95 tff(976,plain,
% 13.78/8.95 (![VarCurr: state_type] : (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))),
% 13.78/8.95 inference(quant_intro,[status(thm)],[975])).
% 13.78/8.95 tff(977,plain,
% 13.78/8.95 (![VarCurr: state_type] : (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 13.78/8.95 inference(rewrite,[status(thm)],[])).
% 13.78/8.95 tff(978,plain,
% 13.78/8.95 (^[VarCurr: state_type] : rewrite((v115(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $false))) <=> (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))))),
% 13.78/8.95 inference(bind,[status(th)],[])).
% 13.78/8.95 tff(979,plain,
% 13.78/8.95 (![VarCurr: state_type] : (v115(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 13.78/8.95 inference(quant_intro,[status(thm)],[978])).
% 13.78/8.95 tff(980,axiom,(![VarCurr: state_type] : (v115(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4')).
% 13.78/8.95 tff(981,plain,
% 13.78/8.95 (![VarCurr: state_type] : (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 13.78/8.95 inference(modus_ponens,[status(thm)],[980, 979])).
% 13.78/8.95 tff(982,plain,
% 13.78/8.95 (![VarCurr: state_type] : (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 13.78/8.95 inference(modus_ponens,[status(thm)],[981, 977])).
% 13.78/8.95 tff(983,plain,(
% 13.78/8.95 ![VarCurr: state_type] : (v115(VarCurr) <=> ((~v84(VarCurr, 2)) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 13.78/8.95 inference(skolemize,[status(sab)],[982])).
% 13.78/8.95 tff(984,plain,
% 13.78/8.95 (![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))),
% 13.78/8.95 inference(modus_ponens,[status(thm)],[983, 976])).
% 13.78/8.95 tff(985,plain,
% 13.78/8.95 (![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))),
% 13.78/8.95 inference(modus_ponens,[status(thm)],[984, 974])).
% 13.78/8.95 tff(986,plain,
% 13.78/8.95 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))))))),
% 13.78/8.95 inference(rewrite,[status(thm)],[])).
% 13.78/8.95 tff(987,plain,
% 13.78/8.95 ((v115(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 2) | (~v84(constB39, 1))))) <=> (v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))))),
% 13.78/8.95 inference(rewrite,[status(thm)],[])).
% 13.78/8.95 tff(988,plain,
% 13.78/8.95 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 2) | (~v84(constB39, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))))))),
% 13.78/8.95 inference(monotonicity,[status(thm)],[987])).
% 13.78/8.95 tff(989,plain,
% 13.78/8.95 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 2) | (~v84(constB39, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))))))),
% 13.78/8.96 inference(transitivity,[status(thm)],[988, 986])).
% 13.78/8.96 tff(990,plain,
% 13.78/8.96 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 0) | v84(constB39, 2) | (~v84(constB39, 1)))))),
% 13.78/8.96 inference(quant_inst,[status(thm)],[])).
% 13.78/8.96 tff(991,plain,
% 13.78/8.96 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))))),
% 13.78/8.96 inference(modus_ponens,[status(thm)],[990, 989])).
% 13.78/8.96 tff(992,plain,
% 13.78/8.96 (v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))))),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[991, 985])).
% 13.78/8.96 tff(993,plain,
% 13.78/8.96 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 13.78/8.96 inference(rewrite,[status(thm)],[])).
% 13.78/8.96 tff(994,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_38')).
% 13.78/8.96 tff(995,plain,
% 13.78/8.96 (nextState(constB38, constB39)),
% 13.78/8.96 inference(modus_ponens,[status(thm)],[994, 993])).
% 13.78/8.96 tff(996,plain,
% 13.78/8.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB38, constB39)) | (v94(constB39) <=> (~((~v95(constB39)) | (~v104(constB39))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB38, constB39)) | (v94(constB39) <=> (~((~v95(constB39)) | (~v104(constB39))))))),
% 13.78/8.96 inference(rewrite,[status(thm)],[])).
% 13.78/8.96 tff(997,plain,
% 13.78/8.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB38, constB39)) | (v94(constB39) <=> (~((~v95(constB39)) | (~v104(constB39))))))),
% 13.78/8.96 inference(quant_inst,[status(thm)],[])).
% 13.78/8.96 tff(998,plain,
% 13.78/8.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB38, constB39)) | (v94(constB39) <=> (~((~v95(constB39)) | (~v104(constB39)))))),
% 13.78/8.96 inference(modus_ponens,[status(thm)],[997, 996])).
% 13.78/8.96 tff(999,plain,
% 13.78/8.96 (v94(constB39) <=> (~((~v95(constB39)) | (~v104(constB39))))),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[998, 995, 770])).
% 13.78/8.96 tff(1000,plain,
% 13.78/8.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39))))))),
% 13.78/8.96 inference(rewrite,[status(thm)],[])).
% 13.78/8.96 tff(1001,plain,
% 13.78/8.96 (((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v96(constB39)) | (~v1(constB39)))))) <=> ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39))))))),
% 13.78/8.96 inference(rewrite,[status(thm)],[])).
% 13.78/8.96 tff(1002,plain,
% 13.78/8.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v96(constB39)) | (~v1(constB39))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39)))))))),
% 13.78/8.96 inference(monotonicity,[status(thm)],[1001])).
% 13.78/8.96 tff(1003,plain,
% 13.78/8.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v96(constB39)) | (~v1(constB39))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39))))))),
% 13.78/8.96 inference(transitivity,[status(thm)],[1002, 1000])).
% 13.78/8.96 tff(1004,plain,
% 13.78/8.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v96(constB39)) | (~v1(constB39))))))),
% 13.78/8.96 inference(quant_inst,[status(thm)],[])).
% 13.78/8.96 tff(1005,plain,
% 13.78/8.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39)))))),
% 13.78/8.96 inference(modus_ponens,[status(thm)],[1004, 1003])).
% 13.78/8.96 tff(1006,plain,
% 13.78/8.96 (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39))))),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1005, 995, 790])).
% 13.78/8.96 tff(1007,plain,
% 13.78/8.96 ((~v1(constB39)) <=> (~v1(constB39))),
% 13.78/8.96 inference(rewrite,[status(thm)],[])).
% 13.78/8.96 tff(1008,axiom,(~v1(constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_39')).
% 13.78/8.96 tff(1009,plain,
% 13.78/8.96 (~v1(constB39)),
% 13.78/8.96 inference(modus_ponens,[status(thm)],[1008, 1007])).
% 13.78/8.96 tff(1010,plain,
% 13.78/8.96 (((~v1(constB39)) | (~v96(constB39))) | v1(constB39)),
% 13.78/8.96 inference(tautology,[status(thm)],[])).
% 13.78/8.96 tff(1011,plain,
% 13.78/8.96 ((~v1(constB39)) | (~v96(constB39))),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1010, 1009])).
% 13.78/8.96 tff(1012,plain,
% 13.78/8.96 ((~(v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39)))))) | (~v95(constB39)) | (~((~v1(constB39)) | (~v96(constB39))))),
% 13.78/8.96 inference(tautology,[status(thm)],[])).
% 13.78/8.96 tff(1013,plain,
% 13.78/8.96 ((~(v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39)))))) | (~v95(constB39))),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1012, 1011])).
% 13.78/8.96 tff(1014,plain,
% 13.78/8.96 (~v95(constB39)),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1013, 1006])).
% 13.78/8.96 tff(1015,plain,
% 13.78/8.96 (((~v95(constB39)) | (~v104(constB39))) | v95(constB39)),
% 13.78/8.96 inference(tautology,[status(thm)],[])).
% 13.78/8.96 tff(1016,plain,
% 13.78/8.96 ((~v95(constB39)) | (~v104(constB39))),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1015, 1014])).
% 13.78/8.96 tff(1017,plain,
% 13.78/8.96 ((~(v94(constB39) <=> (~((~v95(constB39)) | (~v104(constB39)))))) | (~v94(constB39)) | (~((~v95(constB39)) | (~v104(constB39))))),
% 13.78/8.96 inference(tautology,[status(thm)],[])).
% 13.78/8.96 tff(1018,plain,
% 13.78/8.96 (~v94(constB39)),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1017, 1016, 999])).
% 13.78/8.96 tff(1019,plain,
% 13.78/8.96 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB39) | (~nextState(constB38, constB39)) | (~(((~v84(constB39, 1)) <=> v84(constB38, 1)) | ((~v84(constB39, 2)) <=> v84(constB38, 2)) | ((~v84(constB39, 0)) <=> v84(constB38, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB39) | (~nextState(constB38, constB39)) | (~(((~v84(constB39, 1)) <=> v84(constB38, 1)) | ((~v84(constB39, 2)) <=> v84(constB38, 2)) | ((~v84(constB39, 0)) <=> v84(constB38, 0)))))),
% 13.78/8.96 inference(rewrite,[status(thm)],[])).
% 13.78/8.96 tff(1020,plain,
% 13.78/8.96 ((v94(constB39) | (~nextState(constB38, constB39)) | (~(((~v84(constB39, 2)) <=> v84(constB38, 2)) | ((~v84(constB39, 1)) <=> v84(constB38, 1)) | ((~v84(constB39, 0)) <=> v84(constB38, 0))))) <=> (v94(constB39) | (~nextState(constB38, constB39)) | (~(((~v84(constB39, 1)) <=> v84(constB38, 1)) | ((~v84(constB39, 2)) <=> v84(constB38, 2)) | ((~v84(constB39, 0)) <=> v84(constB38, 0)))))),
% 13.78/8.96 inference(rewrite,[status(thm)],[])).
% 13.78/8.96 tff(1021,plain,
% 13.78/8.96 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB39) | (~nextState(constB38, constB39)) | (~(((~v84(constB39, 2)) <=> v84(constB38, 2)) | ((~v84(constB39, 1)) <=> v84(constB38, 1)) | ((~v84(constB39, 0)) <=> v84(constB38, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB39) | (~nextState(constB38, constB39)) | (~(((~v84(constB39, 1)) <=> v84(constB38, 1)) | ((~v84(constB39, 2)) <=> v84(constB38, 2)) | ((~v84(constB39, 0)) <=> v84(constB38, 0))))))),
% 13.78/8.96 inference(monotonicity,[status(thm)],[1020])).
% 13.78/8.96 tff(1022,plain,
% 13.78/8.96 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB39) | (~nextState(constB38, constB39)) | (~(((~v84(constB39, 2)) <=> v84(constB38, 2)) | ((~v84(constB39, 1)) <=> v84(constB38, 1)) | ((~v84(constB39, 0)) <=> v84(constB38, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB39) | (~nextState(constB38, constB39)) | (~(((~v84(constB39, 1)) <=> v84(constB38, 1)) | ((~v84(constB39, 2)) <=> v84(constB38, 2)) | ((~v84(constB39, 0)) <=> v84(constB38, 0)))))),
% 13.78/8.96 inference(transitivity,[status(thm)],[1021, 1019])).
% 13.78/8.96 tff(1023,plain,
% 13.78/8.96 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB39) | (~nextState(constB38, constB39)) | (~(((~v84(constB39, 2)) <=> v84(constB38, 2)) | ((~v84(constB39, 1)) <=> v84(constB38, 1)) | ((~v84(constB39, 0)) <=> v84(constB38, 0)))))),
% 13.78/8.96 inference(quant_inst,[status(thm)],[])).
% 13.78/8.96 tff(1024,plain,
% 13.78/8.96 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB39) | (~nextState(constB38, constB39)) | (~(((~v84(constB39, 1)) <=> v84(constB38, 1)) | ((~v84(constB39, 2)) <=> v84(constB38, 2)) | ((~v84(constB39, 0)) <=> v84(constB38, 0))))),
% 13.78/8.96 inference(modus_ponens,[status(thm)],[1023, 1022])).
% 13.78/8.96 tff(1025,plain,
% 13.78/8.96 (v94(constB39) | (~(((~v84(constB39, 1)) <=> v84(constB38, 1)) | ((~v84(constB39, 2)) <=> v84(constB38, 2)) | ((~v84(constB39, 0)) <=> v84(constB38, 0))))),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1024, 995, 819])).
% 13.78/8.96 tff(1026,plain,
% 13.78/8.96 (~(((~v84(constB39, 1)) <=> v84(constB38, 1)) | ((~v84(constB39, 2)) <=> v84(constB38, 2)) | ((~v84(constB39, 0)) <=> v84(constB38, 0)))),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1025, 1018])).
% 13.78/8.96 tff(1027,plain,
% 13.78/8.96 ((((~v84(constB39, 1)) <=> v84(constB38, 1)) | ((~v84(constB39, 2)) <=> v84(constB38, 2)) | ((~v84(constB39, 0)) <=> v84(constB38, 0))) | (~((~v84(constB39, 2)) <=> v84(constB38, 2)))),
% 13.78/8.96 inference(tautology,[status(thm)],[])).
% 13.78/8.96 tff(1028,plain,
% 13.78/8.96 (~((~v84(constB39, 2)) <=> v84(constB38, 2))),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1027, 1026])).
% 13.78/8.96 tff(1029,plain,
% 13.78/8.96 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 13.78/8.96 inference(rewrite,[status(thm)],[])).
% 13.78/8.96 tff(1030,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_37')).
% 13.78/8.96 tff(1031,plain,
% 13.78/8.96 (nextState(constB37, constB38)),
% 13.78/8.96 inference(modus_ponens,[status(thm)],[1030, 1029])).
% 13.78/8.96 tff(1032,plain,
% 13.78/8.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB37, constB38)) | (~(((~v123(constB38, 2)) <=> v121(constB37, 2)) | ((~v123(constB38, 1)) <=> v121(constB37, 1)) | ((~v123(constB38, 0)) <=> v121(constB37, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB37, constB38)) | (~(((~v123(constB38, 2)) <=> v121(constB37, 2)) | ((~v123(constB38, 1)) <=> v121(constB37, 1)) | ((~v123(constB38, 0)) <=> v121(constB37, 0)))))),
% 13.78/8.96 inference(rewrite,[status(thm)],[])).
% 13.78/8.96 tff(1033,plain,
% 13.78/8.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB37, constB38)) | (~(((~v123(constB38, 2)) <=> v121(constB37, 2)) | ((~v123(constB38, 1)) <=> v121(constB37, 1)) | ((~v123(constB38, 0)) <=> v121(constB37, 0)))))),
% 13.78/8.96 inference(quant_inst,[status(thm)],[])).
% 13.78/8.96 tff(1034,plain,
% 13.78/8.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB37, constB38)) | (~(((~v123(constB38, 2)) <=> v121(constB37, 2)) | ((~v123(constB38, 1)) <=> v121(constB37, 1)) | ((~v123(constB38, 0)) <=> v121(constB37, 0))))),
% 13.78/8.96 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 13.78/8.96 tff(1035,plain,
% 13.78/8.96 (~(((~v123(constB38, 2)) <=> v121(constB37, 2)) | ((~v123(constB38, 1)) <=> v121(constB37, 1)) | ((~v123(constB38, 0)) <=> v121(constB37, 0)))),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1034, 1031, 842])).
% 13.78/8.96 tff(1036,plain,
% 13.78/8.96 ((((~v123(constB38, 2)) <=> v121(constB37, 2)) | ((~v123(constB38, 1)) <=> v121(constB37, 1)) | ((~v123(constB38, 0)) <=> v121(constB37, 0))) | (~((~v123(constB38, 2)) <=> v121(constB37, 2)))),
% 13.78/8.96 inference(tautology,[status(thm)],[])).
% 13.78/8.96 tff(1037,plain,
% 13.78/8.96 (~((~v123(constB38, 2)) <=> v121(constB37, 2))),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1036, 1035])).
% 13.78/8.96 tff(1038,plain,
% 13.78/8.96 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB37) <=> v26(constB37))),
% 13.78/8.96 inference(quant_inst,[status(thm)],[])).
% 13.78/8.96 tff(1039,plain,
% 13.78/8.96 (v105(constB37) <=> v26(constB37)),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1038, 861])).
% 13.78/8.96 tff(1040,plain,
% 13.78/8.96 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB37))),
% 13.78/8.96 inference(quant_inst,[status(thm)],[])).
% 13.78/8.96 tff(1041,plain,
% 13.78/8.96 (~v26(constB37)),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1040, 873])).
% 13.78/8.96 tff(1042,plain,
% 13.78/8.96 ((~(v105(constB37) <=> v26(constB37))) | (~v105(constB37)) | v26(constB37)),
% 13.78/8.96 inference(tautology,[status(thm)],[])).
% 13.78/8.96 tff(1043,plain,
% 13.78/8.96 ((~(v105(constB37) <=> v26(constB37))) | (~v105(constB37))),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1042, 1041])).
% 13.78/8.96 tff(1044,plain,
% 13.78/8.96 (~v105(constB37)),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1043, 1039])).
% 13.78/8.96 tff(1045,plain,
% 13.78/8.96 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB37) | (~(((~v121(constB37, 2)) <=> v124(constB37, 2)) | ((~v121(constB37, 0)) <=> v124(constB37, 0)) | ((~v121(constB37, 1)) <=> v124(constB37, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB37) | (~(((~v121(constB37, 2)) <=> v124(constB37, 2)) | ((~v121(constB37, 0)) <=> v124(constB37, 0)) | ((~v121(constB37, 1)) <=> v124(constB37, 1)))))),
% 13.78/8.96 inference(rewrite,[status(thm)],[])).
% 13.78/8.96 tff(1046,plain,
% 13.78/8.96 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB37) | (~(((~v121(constB37, 2)) <=> v124(constB37, 2)) | ((~v121(constB37, 0)) <=> v124(constB37, 0)) | ((~v121(constB37, 1)) <=> v124(constB37, 1)))))),
% 13.78/8.96 inference(quant_inst,[status(thm)],[])).
% 13.78/8.96 tff(1047,plain,
% 13.78/8.96 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB37) | (~(((~v121(constB37, 2)) <=> v124(constB37, 2)) | ((~v121(constB37, 0)) <=> v124(constB37, 0)) | ((~v121(constB37, 1)) <=> v124(constB37, 1))))),
% 13.78/8.96 inference(modus_ponens,[status(thm)],[1046, 1045])).
% 13.78/8.96 tff(1048,plain,
% 13.78/8.96 (v105(constB37) | (~(((~v121(constB37, 2)) <=> v124(constB37, 2)) | ((~v121(constB37, 0)) <=> v124(constB37, 0)) | ((~v121(constB37, 1)) <=> v124(constB37, 1))))),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1047, 891])).
% 13.78/8.96 tff(1049,plain,
% 13.78/8.96 (~(((~v121(constB37, 2)) <=> v124(constB37, 2)) | ((~v121(constB37, 0)) <=> v124(constB37, 0)) | ((~v121(constB37, 1)) <=> v124(constB37, 1)))),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1048, 1044])).
% 13.78/8.96 tff(1050,plain,
% 13.78/8.96 ((((~v121(constB37, 2)) <=> v124(constB37, 2)) | ((~v121(constB37, 0)) <=> v124(constB37, 0)) | ((~v121(constB37, 1)) <=> v124(constB37, 1))) | (~((~v121(constB37, 2)) <=> v124(constB37, 2)))),
% 13.78/8.96 inference(tautology,[status(thm)],[])).
% 13.78/8.96 tff(1051,plain,
% 13.78/8.96 (~((~v121(constB37, 2)) <=> v124(constB37, 2))),
% 13.78/8.96 inference(unit_resolution,[status(thm)],[1050, 1049])).
% 13.78/8.96 tff(1052,plain,
% 13.78/8.96 (^[VarCurr: state_type] : refl((v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0))))) <=> (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0))))))),
% 13.78/8.96 inference(bind,[status(th)],[])).
% 13.78/8.96 tff(1053,plain,
% 13.78/8.96 (![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0))))) <=> ![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))),
% 13.78/8.97 inference(quant_intro,[status(thm)],[1052])).
% 13.78/8.97 tff(1054,plain,
% 13.78/8.97 (^[VarCurr: state_type] : rewrite((v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))) <=> (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0))))))),
% 13.78/8.97 inference(bind,[status(th)],[])).
% 13.78/8.97 tff(1055,plain,
% 13.78/8.97 (![VarCurr: state_type] : (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))) <=> ![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))),
% 13.78/8.97 inference(quant_intro,[status(thm)],[1054])).
% 13.78/8.97 tff(1056,plain,
% 13.78/8.97 (![VarCurr: state_type] : (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))) <=> ![VarCurr: state_type] : (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 13.78/8.97 inference(rewrite,[status(thm)],[])).
% 13.78/8.97 tff(1057,plain,
% 13.78/8.97 (^[VarCurr: state_type] : rewrite((v114(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $true))) <=> (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))))),
% 13.78/8.97 inference(bind,[status(th)],[])).
% 13.78/8.97 tff(1058,plain,
% 13.78/8.97 (![VarCurr: state_type] : (v114(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 13.78/8.97 inference(quant_intro,[status(thm)],[1057])).
% 13.78/8.97 tff(1059,axiom,(![VarCurr: state_type] : (v114(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3')).
% 13.78/8.97 tff(1060,plain,
% 13.78/8.97 (![VarCurr: state_type] : (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 13.78/8.97 inference(modus_ponens,[status(thm)],[1059, 1058])).
% 13.78/8.97 tff(1061,plain,
% 13.78/8.97 (![VarCurr: state_type] : (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 13.78/8.97 inference(modus_ponens,[status(thm)],[1060, 1056])).
% 13.78/8.97 tff(1062,plain,(
% 13.78/8.97 ![VarCurr: state_type] : (v114(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 13.78/8.97 inference(skolemize,[status(sab)],[1061])).
% 13.78/8.97 tff(1063,plain,
% 13.78/8.97 (![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))),
% 13.78/8.97 inference(modus_ponens,[status(thm)],[1062, 1055])).
% 13.78/8.97 tff(1064,plain,
% 13.78/8.97 (![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))),
% 13.78/8.97 inference(modus_ponens,[status(thm)],[1063, 1053])).
% 13.78/8.97 tff(1065,plain,
% 13.78/8.97 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB37) <=> (~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0)))))),
% 13.78/8.97 inference(quant_inst,[status(thm)],[])).
% 13.78/8.97 tff(1066,plain,
% 13.78/8.97 (v114(constB37) <=> (~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))))),
% 13.78/8.97 inference(unit_resolution,[status(thm)],[1065, 1064])).
% 13.78/8.97 tff(1067,plain,
% 13.78/8.97 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 13.78/8.97 inference(rewrite,[status(thm)],[])).
% 13.78/8.97 tff(1068,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_36')).
% 13.78/8.97 tff(1069,plain,
% 13.78/8.97 (nextState(constB36, constB37)),
% 13.78/8.97 inference(modus_ponens,[status(thm)],[1068, 1067])).
% 13.78/8.97 tff(1070,plain,
% 13.78/8.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB36, constB37)) | (v94(constB37) <=> (~((~v95(constB37)) | (~v104(constB37))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB36, constB37)) | (v94(constB37) <=> (~((~v95(constB37)) | (~v104(constB37))))))),
% 13.78/8.97 inference(rewrite,[status(thm)],[])).
% 13.78/8.97 tff(1071,plain,
% 13.78/8.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB36, constB37)) | (v94(constB37) <=> (~((~v95(constB37)) | (~v104(constB37))))))),
% 13.78/8.97 inference(quant_inst,[status(thm)],[])).
% 13.78/8.97 tff(1072,plain,
% 13.78/8.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB36, constB37)) | (v94(constB37) <=> (~((~v95(constB37)) | (~v104(constB37)))))),
% 13.78/8.97 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 13.78/8.97 tff(1073,plain,
% 13.78/8.97 (v94(constB37) <=> (~((~v95(constB37)) | (~v104(constB37))))),
% 13.78/8.97 inference(unit_resolution,[status(thm)],[1072, 1069, 770])).
% 13.78/8.97 tff(1074,plain,
% 13.78/8.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37))))))),
% 13.78/8.97 inference(rewrite,[status(thm)],[])).
% 13.78/8.97 tff(1075,plain,
% 13.78/8.97 (((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v96(constB37)) | (~v1(constB37)))))) <=> ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37))))))),
% 13.78/8.97 inference(rewrite,[status(thm)],[])).
% 13.78/8.97 tff(1076,plain,
% 13.78/8.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v96(constB37)) | (~v1(constB37))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37)))))))),
% 13.78/8.97 inference(monotonicity,[status(thm)],[1075])).
% 13.78/8.97 tff(1077,plain,
% 13.78/8.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v96(constB37)) | (~v1(constB37))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37))))))),
% 13.78/8.97 inference(transitivity,[status(thm)],[1076, 1074])).
% 13.78/8.97 tff(1078,plain,
% 13.78/8.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v96(constB37)) | (~v1(constB37))))))),
% 13.78/8.97 inference(quant_inst,[status(thm)],[])).
% 13.78/8.97 tff(1079,plain,
% 13.78/8.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37)))))),
% 13.78/8.97 inference(modus_ponens,[status(thm)],[1078, 1077])).
% 13.78/8.97 tff(1080,plain,
% 13.78/8.97 (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37))))),
% 13.78/8.97 inference(unit_resolution,[status(thm)],[1079, 1069, 790])).
% 13.78/8.97 tff(1081,plain,
% 13.78/8.97 ((~v1(constB37)) <=> (~v1(constB37))),
% 13.78/8.97 inference(rewrite,[status(thm)],[])).
% 13.78/8.97 tff(1082,axiom,(~v1(constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_37')).
% 13.78/8.97 tff(1083,plain,
% 13.78/8.97 (~v1(constB37)),
% 13.78/8.97 inference(modus_ponens,[status(thm)],[1082, 1081])).
% 13.78/8.97 tff(1084,plain,
% 13.78/8.97 (((~v1(constB37)) | (~v96(constB37))) | v1(constB37)),
% 13.78/8.97 inference(tautology,[status(thm)],[])).
% 13.78/8.97 tff(1085,plain,
% 13.78/8.97 ((~v1(constB37)) | (~v96(constB37))),
% 13.78/8.97 inference(unit_resolution,[status(thm)],[1084, 1083])).
% 13.78/8.97 tff(1086,plain,
% 13.78/8.97 ((~(v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37)))))) | (~v95(constB37)) | (~((~v1(constB37)) | (~v96(constB37))))),
% 13.78/8.97 inference(tautology,[status(thm)],[])).
% 13.78/8.97 tff(1087,plain,
% 13.78/8.97 ((~(v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37)))))) | (~v95(constB37))),
% 13.78/8.97 inference(unit_resolution,[status(thm)],[1086, 1085])).
% 13.78/8.97 tff(1088,plain,
% 13.78/8.97 (~v95(constB37)),
% 13.78/8.97 inference(unit_resolution,[status(thm)],[1087, 1080])).
% 13.78/8.97 tff(1089,plain,
% 13.78/8.97 (((~v95(constB37)) | (~v104(constB37))) | v95(constB37)),
% 13.78/8.97 inference(tautology,[status(thm)],[])).
% 13.78/8.97 tff(1090,plain,
% 13.78/8.97 ((~v95(constB37)) | (~v104(constB37))),
% 13.78/8.97 inference(unit_resolution,[status(thm)],[1089, 1088])).
% 13.78/8.97 tff(1091,plain,
% 13.78/8.97 ((~(v94(constB37) <=> (~((~v95(constB37)) | (~v104(constB37)))))) | (~v94(constB37)) | (~((~v95(constB37)) | (~v104(constB37))))),
% 13.78/8.97 inference(tautology,[status(thm)],[])).
% 13.78/8.97 tff(1092,plain,
% 13.78/8.97 (~v94(constB37)),
% 13.78/8.97 inference(unit_resolution,[status(thm)],[1091, 1090, 1073])).
% 13.78/8.97 tff(1093,plain,
% 13.78/8.97 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB37) | (~nextState(constB36, constB37)) | (~(((~v84(constB37, 1)) <=> v84(constB36, 1)) | ((~v84(constB37, 2)) <=> v84(constB36, 2)) | ((~v84(constB37, 0)) <=> v84(constB36, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB37) | (~nextState(constB36, constB37)) | (~(((~v84(constB37, 1)) <=> v84(constB36, 1)) | ((~v84(constB37, 2)) <=> v84(constB36, 2)) | ((~v84(constB37, 0)) <=> v84(constB36, 0)))))),
% 13.78/8.97 inference(rewrite,[status(thm)],[])).
% 13.78/8.97 tff(1094,plain,
% 13.78/8.97 ((v94(constB37) | (~nextState(constB36, constB37)) | (~(((~v84(constB37, 2)) <=> v84(constB36, 2)) | ((~v84(constB37, 1)) <=> v84(constB36, 1)) | ((~v84(constB37, 0)) <=> v84(constB36, 0))))) <=> (v94(constB37) | (~nextState(constB36, constB37)) | (~(((~v84(constB37, 1)) <=> v84(constB36, 1)) | ((~v84(constB37, 2)) <=> v84(constB36, 2)) | ((~v84(constB37, 0)) <=> v84(constB36, 0)))))),
% 13.78/8.97 inference(rewrite,[status(thm)],[])).
% 13.78/8.97 tff(1095,plain,
% 13.78/8.97 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB37) | (~nextState(constB36, constB37)) | (~(((~v84(constB37, 2)) <=> v84(constB36, 2)) | ((~v84(constB37, 1)) <=> v84(constB36, 1)) | ((~v84(constB37, 0)) <=> v84(constB36, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB37) | (~nextState(constB36, constB37)) | (~(((~v84(constB37, 1)) <=> v84(constB36, 1)) | ((~v84(constB37, 2)) <=> v84(constB36, 2)) | ((~v84(constB37, 0)) <=> v84(constB36, 0))))))),
% 13.78/8.97 inference(monotonicity,[status(thm)],[1094])).
% 13.78/8.97 tff(1096,plain,
% 13.78/8.97 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB37) | (~nextState(constB36, constB37)) | (~(((~v84(constB37, 2)) <=> v84(constB36, 2)) | ((~v84(constB37, 1)) <=> v84(constB36, 1)) | ((~v84(constB37, 0)) <=> v84(constB36, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB37) | (~nextState(constB36, constB37)) | (~(((~v84(constB37, 1)) <=> v84(constB36, 1)) | ((~v84(constB37, 2)) <=> v84(constB36, 2)) | ((~v84(constB37, 0)) <=> v84(constB36, 0)))))),
% 13.78/8.97 inference(transitivity,[status(thm)],[1095, 1093])).
% 13.78/8.97 tff(1097,plain,
% 13.78/8.97 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB37) | (~nextState(constB36, constB37)) | (~(((~v84(constB37, 2)) <=> v84(constB36, 2)) | ((~v84(constB37, 1)) <=> v84(constB36, 1)) | ((~v84(constB37, 0)) <=> v84(constB36, 0)))))),
% 13.78/8.97 inference(quant_inst,[status(thm)],[])).
% 13.78/8.97 tff(1098,plain,
% 13.78/8.97 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB37) | (~nextState(constB36, constB37)) | (~(((~v84(constB37, 1)) <=> v84(constB36, 1)) | ((~v84(constB37, 2)) <=> v84(constB36, 2)) | ((~v84(constB37, 0)) <=> v84(constB36, 0))))),
% 13.78/8.97 inference(modus_ponens,[status(thm)],[1097, 1096])).
% 13.78/8.97 tff(1099,plain,
% 13.78/8.97 (v94(constB37) | (~(((~v84(constB37, 1)) <=> v84(constB36, 1)) | ((~v84(constB37, 2)) <=> v84(constB36, 2)) | ((~v84(constB37, 0)) <=> v84(constB36, 0))))),
% 13.78/8.97 inference(unit_resolution,[status(thm)],[1098, 1069, 819])).
% 13.78/8.97 tff(1100,plain,
% 13.78/8.97 (~(((~v84(constB37, 1)) <=> v84(constB36, 1)) | ((~v84(constB37, 2)) <=> v84(constB36, 2)) | ((~v84(constB37, 0)) <=> v84(constB36, 0)))),
% 13.78/8.97 inference(unit_resolution,[status(thm)],[1099, 1092])).
% 13.78/8.97 tff(1101,plain,
% 13.78/8.97 ((((~v84(constB37, 1)) <=> v84(constB36, 1)) | ((~v84(constB37, 2)) <=> v84(constB36, 2)) | ((~v84(constB37, 0)) <=> v84(constB36, 0))) | (~((~v84(constB37, 2)) <=> v84(constB36, 2)))),
% 13.78/8.97 inference(tautology,[status(thm)],[])).
% 13.78/8.97 tff(1102,plain,
% 13.78/8.97 (~((~v84(constB37, 2)) <=> v84(constB36, 2))),
% 13.78/8.97 inference(unit_resolution,[status(thm)],[1101, 1100])).
% 13.78/8.97 tff(1103,plain,
% 13.78/8.97 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 13.78/8.97 inference(rewrite,[status(thm)],[])).
% 13.78/8.97 tff(1104,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_35')).
% 13.84/8.97 tff(1105,plain,
% 13.84/8.97 (nextState(constB35, constB36)),
% 13.84/8.97 inference(modus_ponens,[status(thm)],[1104, 1103])).
% 13.84/8.97 tff(1106,plain,
% 13.84/8.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB35, constB36)) | (~(((~v123(constB36, 2)) <=> v121(constB35, 2)) | ((~v123(constB36, 1)) <=> v121(constB35, 1)) | ((~v123(constB36, 0)) <=> v121(constB35, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB35, constB36)) | (~(((~v123(constB36, 2)) <=> v121(constB35, 2)) | ((~v123(constB36, 1)) <=> v121(constB35, 1)) | ((~v123(constB36, 0)) <=> v121(constB35, 0)))))),
% 13.84/8.97 inference(rewrite,[status(thm)],[])).
% 13.84/8.97 tff(1107,plain,
% 13.84/8.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB35, constB36)) | (~(((~v123(constB36, 2)) <=> v121(constB35, 2)) | ((~v123(constB36, 1)) <=> v121(constB35, 1)) | ((~v123(constB36, 0)) <=> v121(constB35, 0)))))),
% 13.84/8.97 inference(quant_inst,[status(thm)],[])).
% 13.84/8.97 tff(1108,plain,
% 13.84/8.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB35, constB36)) | (~(((~v123(constB36, 2)) <=> v121(constB35, 2)) | ((~v123(constB36, 1)) <=> v121(constB35, 1)) | ((~v123(constB36, 0)) <=> v121(constB35, 0))))),
% 13.84/8.97 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 13.84/8.97 tff(1109,plain,
% 13.84/8.97 (~(((~v123(constB36, 2)) <=> v121(constB35, 2)) | ((~v123(constB36, 1)) <=> v121(constB35, 1)) | ((~v123(constB36, 0)) <=> v121(constB35, 0)))),
% 13.84/8.97 inference(unit_resolution,[status(thm)],[1108, 1105, 842])).
% 13.84/8.97 tff(1110,plain,
% 13.84/8.97 ((((~v123(constB36, 2)) <=> v121(constB35, 2)) | ((~v123(constB36, 1)) <=> v121(constB35, 1)) | ((~v123(constB36, 0)) <=> v121(constB35, 0))) | (~((~v123(constB36, 2)) <=> v121(constB35, 2)))),
% 13.84/8.97 inference(tautology,[status(thm)],[])).
% 13.84/8.97 tff(1111,plain,
% 13.84/8.97 (~((~v123(constB36, 2)) <=> v121(constB35, 2))),
% 13.84/8.97 inference(unit_resolution,[status(thm)],[1110, 1109])).
% 13.84/8.97 tff(1112,plain,
% 13.84/8.97 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB35) <=> v26(constB35))),
% 13.84/8.97 inference(quant_inst,[status(thm)],[])).
% 13.84/8.97 tff(1113,plain,
% 13.84/8.97 (v105(constB35) <=> v26(constB35)),
% 13.84/8.97 inference(unit_resolution,[status(thm)],[1112, 861])).
% 13.84/8.97 tff(1114,plain,
% 13.84/8.97 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB35))),
% 13.84/8.97 inference(quant_inst,[status(thm)],[])).
% 13.84/8.97 tff(1115,plain,
% 13.84/8.97 (~v26(constB35)),
% 13.84/8.97 inference(unit_resolution,[status(thm)],[1114, 873])).
% 13.84/8.97 tff(1116,plain,
% 13.84/8.97 ((~(v105(constB35) <=> v26(constB35))) | (~v105(constB35)) | v26(constB35)),
% 13.84/8.97 inference(tautology,[status(thm)],[])).
% 13.84/8.97 tff(1117,plain,
% 13.84/8.97 ((~(v105(constB35) <=> v26(constB35))) | (~v105(constB35))),
% 13.84/8.97 inference(unit_resolution,[status(thm)],[1116, 1115])).
% 13.84/8.97 tff(1118,plain,
% 13.84/8.97 (~v105(constB35)),
% 13.84/8.97 inference(unit_resolution,[status(thm)],[1117, 1113])).
% 13.84/8.97 tff(1119,plain,
% 13.84/8.97 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB35) | (~(((~v121(constB35, 2)) <=> v124(constB35, 2)) | ((~v121(constB35, 0)) <=> v124(constB35, 0)) | ((~v121(constB35, 1)) <=> v124(constB35, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB35) | (~(((~v121(constB35, 2)) <=> v124(constB35, 2)) | ((~v121(constB35, 0)) <=> v124(constB35, 0)) | ((~v121(constB35, 1)) <=> v124(constB35, 1)))))),
% 13.84/8.98 inference(rewrite,[status(thm)],[])).
% 13.84/8.98 tff(1120,plain,
% 13.84/8.98 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB35) | (~(((~v121(constB35, 2)) <=> v124(constB35, 2)) | ((~v121(constB35, 0)) <=> v124(constB35, 0)) | ((~v121(constB35, 1)) <=> v124(constB35, 1)))))),
% 13.84/8.98 inference(quant_inst,[status(thm)],[])).
% 13.84/8.98 tff(1121,plain,
% 13.84/8.98 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB35) | (~(((~v121(constB35, 2)) <=> v124(constB35, 2)) | ((~v121(constB35, 0)) <=> v124(constB35, 0)) | ((~v121(constB35, 1)) <=> v124(constB35, 1))))),
% 13.84/8.98 inference(modus_ponens,[status(thm)],[1120, 1119])).
% 13.84/8.98 tff(1122,plain,
% 13.84/8.98 (v105(constB35) | (~(((~v121(constB35, 2)) <=> v124(constB35, 2)) | ((~v121(constB35, 0)) <=> v124(constB35, 0)) | ((~v121(constB35, 1)) <=> v124(constB35, 1))))),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1121, 891])).
% 13.84/8.98 tff(1123,plain,
% 13.84/8.98 (~(((~v121(constB35, 2)) <=> v124(constB35, 2)) | ((~v121(constB35, 0)) <=> v124(constB35, 0)) | ((~v121(constB35, 1)) <=> v124(constB35, 1)))),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1122, 1118])).
% 13.84/8.98 tff(1124,plain,
% 13.84/8.98 ((((~v121(constB35, 2)) <=> v124(constB35, 2)) | ((~v121(constB35, 0)) <=> v124(constB35, 0)) | ((~v121(constB35, 1)) <=> v124(constB35, 1))) | (~((~v121(constB35, 2)) <=> v124(constB35, 2)))),
% 13.84/8.98 inference(tautology,[status(thm)],[])).
% 13.84/8.98 tff(1125,plain,
% 13.84/8.98 (~((~v121(constB35, 2)) <=> v124(constB35, 2))),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1124, 1123])).
% 13.84/8.98 tff(1126,plain,
% 13.84/8.98 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0)))))),
% 13.84/8.98 inference(quant_inst,[status(thm)],[])).
% 13.84/8.98 tff(1127,plain,
% 13.84/8.98 (v114(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))))),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1126, 1064])).
% 13.84/8.98 tff(1128,plain,
% 13.84/8.98 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 13.84/8.98 inference(rewrite,[status(thm)],[])).
% 13.84/8.98 tff(1129,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_34')).
% 13.84/8.98 tff(1130,plain,
% 13.84/8.98 (nextState(constB34, constB35)),
% 13.84/8.98 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 13.84/8.98 tff(1131,plain,
% 13.84/8.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB34, constB35)) | (v94(constB35) <=> (~((~v95(constB35)) | (~v104(constB35))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB34, constB35)) | (v94(constB35) <=> (~((~v95(constB35)) | (~v104(constB35))))))),
% 13.84/8.98 inference(rewrite,[status(thm)],[])).
% 13.84/8.98 tff(1132,plain,
% 13.84/8.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB34, constB35)) | (v94(constB35) <=> (~((~v95(constB35)) | (~v104(constB35))))))),
% 13.84/8.98 inference(quant_inst,[status(thm)],[])).
% 13.84/8.98 tff(1133,plain,
% 13.84/8.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB34, constB35)) | (v94(constB35) <=> (~((~v95(constB35)) | (~v104(constB35)))))),
% 13.84/8.98 inference(modus_ponens,[status(thm)],[1132, 1131])).
% 13.84/8.98 tff(1134,plain,
% 13.84/8.98 (v94(constB35) <=> (~((~v95(constB35)) | (~v104(constB35))))),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1133, 1130, 770])).
% 13.84/8.98 tff(1135,plain,
% 13.84/8.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35))))))),
% 13.84/8.98 inference(rewrite,[status(thm)],[])).
% 13.84/8.98 tff(1136,plain,
% 13.84/8.98 (((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v96(constB35)) | (~v1(constB35)))))) <=> ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35))))))),
% 13.84/8.98 inference(rewrite,[status(thm)],[])).
% 13.84/8.98 tff(1137,plain,
% 13.84/8.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v96(constB35)) | (~v1(constB35))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35)))))))),
% 13.84/8.98 inference(monotonicity,[status(thm)],[1136])).
% 13.84/8.98 tff(1138,plain,
% 13.84/8.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v96(constB35)) | (~v1(constB35))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35))))))),
% 13.84/8.98 inference(transitivity,[status(thm)],[1137, 1135])).
% 13.84/8.98 tff(1139,plain,
% 13.84/8.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v96(constB35)) | (~v1(constB35))))))),
% 13.84/8.98 inference(quant_inst,[status(thm)],[])).
% 13.84/8.98 tff(1140,plain,
% 13.84/8.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35)))))),
% 13.84/8.98 inference(modus_ponens,[status(thm)],[1139, 1138])).
% 13.84/8.98 tff(1141,plain,
% 13.84/8.98 (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35))))),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1140, 1130, 790])).
% 13.84/8.98 tff(1142,plain,
% 13.84/8.98 ((~v1(constB35)) <=> (~v1(constB35))),
% 13.84/8.98 inference(rewrite,[status(thm)],[])).
% 13.84/8.98 tff(1143,axiom,(~v1(constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_35')).
% 13.84/8.98 tff(1144,plain,
% 13.84/8.98 (~v1(constB35)),
% 13.84/8.98 inference(modus_ponens,[status(thm)],[1143, 1142])).
% 13.84/8.98 tff(1145,plain,
% 13.84/8.98 (((~v1(constB35)) | (~v96(constB35))) | v1(constB35)),
% 13.84/8.98 inference(tautology,[status(thm)],[])).
% 13.84/8.98 tff(1146,plain,
% 13.84/8.98 ((~v1(constB35)) | (~v96(constB35))),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1145, 1144])).
% 13.84/8.98 tff(1147,plain,
% 13.84/8.98 ((~(v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35)))))) | (~v95(constB35)) | (~((~v1(constB35)) | (~v96(constB35))))),
% 13.84/8.98 inference(tautology,[status(thm)],[])).
% 13.84/8.98 tff(1148,plain,
% 13.84/8.98 ((~(v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35)))))) | (~v95(constB35))),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1147, 1146])).
% 13.84/8.98 tff(1149,plain,
% 13.84/8.98 (~v95(constB35)),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1148, 1141])).
% 13.84/8.98 tff(1150,plain,
% 13.84/8.98 (((~v95(constB35)) | (~v104(constB35))) | v95(constB35)),
% 13.84/8.98 inference(tautology,[status(thm)],[])).
% 13.84/8.98 tff(1151,plain,
% 13.84/8.98 ((~v95(constB35)) | (~v104(constB35))),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1150, 1149])).
% 13.84/8.98 tff(1152,plain,
% 13.84/8.98 ((~(v94(constB35) <=> (~((~v95(constB35)) | (~v104(constB35)))))) | (~v94(constB35)) | (~((~v95(constB35)) | (~v104(constB35))))),
% 13.84/8.98 inference(tautology,[status(thm)],[])).
% 13.84/8.98 tff(1153,plain,
% 13.84/8.98 (~v94(constB35)),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1152, 1151, 1134])).
% 13.84/8.98 tff(1154,plain,
% 13.84/8.98 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB35) | (~nextState(constB34, constB35)) | (~(((~v84(constB35, 1)) <=> v84(constB34, 1)) | ((~v84(constB35, 2)) <=> v84(constB34, 2)) | ((~v84(constB35, 0)) <=> v84(constB34, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB35) | (~nextState(constB34, constB35)) | (~(((~v84(constB35, 1)) <=> v84(constB34, 1)) | ((~v84(constB35, 2)) <=> v84(constB34, 2)) | ((~v84(constB35, 0)) <=> v84(constB34, 0)))))),
% 13.84/8.98 inference(rewrite,[status(thm)],[])).
% 13.84/8.98 tff(1155,plain,
% 13.84/8.98 ((v94(constB35) | (~nextState(constB34, constB35)) | (~(((~v84(constB35, 2)) <=> v84(constB34, 2)) | ((~v84(constB35, 1)) <=> v84(constB34, 1)) | ((~v84(constB35, 0)) <=> v84(constB34, 0))))) <=> (v94(constB35) | (~nextState(constB34, constB35)) | (~(((~v84(constB35, 1)) <=> v84(constB34, 1)) | ((~v84(constB35, 2)) <=> v84(constB34, 2)) | ((~v84(constB35, 0)) <=> v84(constB34, 0)))))),
% 13.84/8.98 inference(rewrite,[status(thm)],[])).
% 13.84/8.98 tff(1156,plain,
% 13.84/8.98 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB35) | (~nextState(constB34, constB35)) | (~(((~v84(constB35, 2)) <=> v84(constB34, 2)) | ((~v84(constB35, 1)) <=> v84(constB34, 1)) | ((~v84(constB35, 0)) <=> v84(constB34, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB35) | (~nextState(constB34, constB35)) | (~(((~v84(constB35, 1)) <=> v84(constB34, 1)) | ((~v84(constB35, 2)) <=> v84(constB34, 2)) | ((~v84(constB35, 0)) <=> v84(constB34, 0))))))),
% 13.84/8.98 inference(monotonicity,[status(thm)],[1155])).
% 13.84/8.98 tff(1157,plain,
% 13.84/8.98 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB35) | (~nextState(constB34, constB35)) | (~(((~v84(constB35, 2)) <=> v84(constB34, 2)) | ((~v84(constB35, 1)) <=> v84(constB34, 1)) | ((~v84(constB35, 0)) <=> v84(constB34, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB35) | (~nextState(constB34, constB35)) | (~(((~v84(constB35, 1)) <=> v84(constB34, 1)) | ((~v84(constB35, 2)) <=> v84(constB34, 2)) | ((~v84(constB35, 0)) <=> v84(constB34, 0)))))),
% 13.84/8.98 inference(transitivity,[status(thm)],[1156, 1154])).
% 13.84/8.98 tff(1158,plain,
% 13.84/8.98 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB35) | (~nextState(constB34, constB35)) | (~(((~v84(constB35, 2)) <=> v84(constB34, 2)) | ((~v84(constB35, 1)) <=> v84(constB34, 1)) | ((~v84(constB35, 0)) <=> v84(constB34, 0)))))),
% 13.84/8.98 inference(quant_inst,[status(thm)],[])).
% 13.84/8.98 tff(1159,plain,
% 13.84/8.98 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB35) | (~nextState(constB34, constB35)) | (~(((~v84(constB35, 1)) <=> v84(constB34, 1)) | ((~v84(constB35, 2)) <=> v84(constB34, 2)) | ((~v84(constB35, 0)) <=> v84(constB34, 0))))),
% 13.84/8.98 inference(modus_ponens,[status(thm)],[1158, 1157])).
% 13.84/8.98 tff(1160,plain,
% 13.84/8.98 (v94(constB35) | (~(((~v84(constB35, 1)) <=> v84(constB34, 1)) | ((~v84(constB35, 2)) <=> v84(constB34, 2)) | ((~v84(constB35, 0)) <=> v84(constB34, 0))))),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1159, 1130, 819])).
% 13.84/8.98 tff(1161,plain,
% 13.84/8.98 (~(((~v84(constB35, 1)) <=> v84(constB34, 1)) | ((~v84(constB35, 2)) <=> v84(constB34, 2)) | ((~v84(constB35, 0)) <=> v84(constB34, 0)))),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1160, 1153])).
% 13.84/8.98 tff(1162,plain,
% 13.84/8.98 ((((~v84(constB35, 1)) <=> v84(constB34, 1)) | ((~v84(constB35, 2)) <=> v84(constB34, 2)) | ((~v84(constB35, 0)) <=> v84(constB34, 0))) | (~((~v84(constB35, 0)) <=> v84(constB34, 0)))),
% 13.84/8.98 inference(tautology,[status(thm)],[])).
% 13.84/8.98 tff(1163,plain,
% 13.84/8.98 (~((~v84(constB35, 0)) <=> v84(constB34, 0))),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1162, 1161])).
% 13.84/8.98 tff(1164,plain,
% 13.84/8.98 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 13.84/8.98 inference(rewrite,[status(thm)],[])).
% 13.84/8.98 tff(1165,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_33')).
% 13.84/8.98 tff(1166,plain,
% 13.84/8.98 (nextState(constB33, constB34)),
% 13.84/8.98 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 13.84/8.98 tff(1167,plain,
% 13.84/8.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB33, constB34)) | (~(((~v123(constB34, 2)) <=> v121(constB33, 2)) | ((~v123(constB34, 1)) <=> v121(constB33, 1)) | ((~v123(constB34, 0)) <=> v121(constB33, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB33, constB34)) | (~(((~v123(constB34, 2)) <=> v121(constB33, 2)) | ((~v123(constB34, 1)) <=> v121(constB33, 1)) | ((~v123(constB34, 0)) <=> v121(constB33, 0)))))),
% 13.84/8.98 inference(rewrite,[status(thm)],[])).
% 13.84/8.98 tff(1168,plain,
% 13.84/8.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB33, constB34)) | (~(((~v123(constB34, 2)) <=> v121(constB33, 2)) | ((~v123(constB34, 1)) <=> v121(constB33, 1)) | ((~v123(constB34, 0)) <=> v121(constB33, 0)))))),
% 13.84/8.98 inference(quant_inst,[status(thm)],[])).
% 13.84/8.98 tff(1169,plain,
% 13.84/8.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB33, constB34)) | (~(((~v123(constB34, 2)) <=> v121(constB33, 2)) | ((~v123(constB34, 1)) <=> v121(constB33, 1)) | ((~v123(constB34, 0)) <=> v121(constB33, 0))))),
% 13.84/8.98 inference(modus_ponens,[status(thm)],[1168, 1167])).
% 13.84/8.98 tff(1170,plain,
% 13.84/8.98 (~(((~v123(constB34, 2)) <=> v121(constB33, 2)) | ((~v123(constB34, 1)) <=> v121(constB33, 1)) | ((~v123(constB34, 0)) <=> v121(constB33, 0)))),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1169, 1166, 842])).
% 13.84/8.98 tff(1171,plain,
% 13.84/8.98 ((((~v123(constB34, 2)) <=> v121(constB33, 2)) | ((~v123(constB34, 1)) <=> v121(constB33, 1)) | ((~v123(constB34, 0)) <=> v121(constB33, 0))) | (~((~v123(constB34, 0)) <=> v121(constB33, 0)))),
% 13.84/8.98 inference(tautology,[status(thm)],[])).
% 13.84/8.98 tff(1172,plain,
% 13.84/8.98 (~((~v123(constB34, 0)) <=> v121(constB33, 0))),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1171, 1170])).
% 13.84/8.98 tff(1173,plain,
% 13.84/8.98 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB33) <=> v26(constB33))),
% 13.84/8.98 inference(quant_inst,[status(thm)],[])).
% 13.84/8.98 tff(1174,plain,
% 13.84/8.98 (v105(constB33) <=> v26(constB33)),
% 13.84/8.98 inference(unit_resolution,[status(thm)],[1173, 861])).
% 13.84/8.99 tff(1175,plain,
% 13.84/8.99 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB33))),
% 13.84/8.99 inference(quant_inst,[status(thm)],[])).
% 13.84/8.99 tff(1176,plain,
% 13.84/8.99 (~v26(constB33)),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1175, 873])).
% 13.84/8.99 tff(1177,plain,
% 13.84/8.99 ((~(v105(constB33) <=> v26(constB33))) | (~v105(constB33)) | v26(constB33)),
% 13.84/8.99 inference(tautology,[status(thm)],[])).
% 13.84/8.99 tff(1178,plain,
% 13.84/8.99 ((~(v105(constB33) <=> v26(constB33))) | (~v105(constB33))),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1177, 1176])).
% 13.84/8.99 tff(1179,plain,
% 13.84/8.99 (~v105(constB33)),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1178, 1174])).
% 13.84/8.99 tff(1180,plain,
% 13.84/8.99 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB33) | (~(((~v121(constB33, 2)) <=> v124(constB33, 2)) | ((~v121(constB33, 0)) <=> v124(constB33, 0)) | ((~v121(constB33, 1)) <=> v124(constB33, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB33) | (~(((~v121(constB33, 2)) <=> v124(constB33, 2)) | ((~v121(constB33, 0)) <=> v124(constB33, 0)) | ((~v121(constB33, 1)) <=> v124(constB33, 1)))))),
% 13.84/8.99 inference(rewrite,[status(thm)],[])).
% 13.84/8.99 tff(1181,plain,
% 13.84/8.99 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB33) | (~(((~v121(constB33, 2)) <=> v124(constB33, 2)) | ((~v121(constB33, 0)) <=> v124(constB33, 0)) | ((~v121(constB33, 1)) <=> v124(constB33, 1)))))),
% 13.84/8.99 inference(quant_inst,[status(thm)],[])).
% 13.84/8.99 tff(1182,plain,
% 13.84/8.99 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB33) | (~(((~v121(constB33, 2)) <=> v124(constB33, 2)) | ((~v121(constB33, 0)) <=> v124(constB33, 0)) | ((~v121(constB33, 1)) <=> v124(constB33, 1))))),
% 13.84/8.99 inference(modus_ponens,[status(thm)],[1181, 1180])).
% 13.84/8.99 tff(1183,plain,
% 13.84/8.99 (v105(constB33) | (~(((~v121(constB33, 2)) <=> v124(constB33, 2)) | ((~v121(constB33, 0)) <=> v124(constB33, 0)) | ((~v121(constB33, 1)) <=> v124(constB33, 1))))),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1182, 891])).
% 13.84/8.99 tff(1184,plain,
% 13.84/8.99 (~(((~v121(constB33, 2)) <=> v124(constB33, 2)) | ((~v121(constB33, 0)) <=> v124(constB33, 0)) | ((~v121(constB33, 1)) <=> v124(constB33, 1)))),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1183, 1179])).
% 13.84/8.99 tff(1185,plain,
% 13.84/8.99 ((((~v121(constB33, 2)) <=> v124(constB33, 2)) | ((~v121(constB33, 0)) <=> v124(constB33, 0)) | ((~v121(constB33, 1)) <=> v124(constB33, 1))) | (~((~v121(constB33, 0)) <=> v124(constB33, 0)))),
% 13.84/8.99 inference(tautology,[status(thm)],[])).
% 13.84/8.99 tff(1186,plain,
% 13.84/8.99 (~((~v121(constB33, 0)) <=> v124(constB33, 0))),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1185, 1184])).
% 13.84/8.99 tff(1187,plain,
% 13.84/8.99 (^[VarCurr: state_type] : refl((v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2))))) <=> (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2))))))),
% 13.84/8.99 inference(bind,[status(th)],[])).
% 13.84/8.99 tff(1188,plain,
% 13.84/8.99 (![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2))))) <=> ![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))),
% 13.84/8.99 inference(quant_intro,[status(thm)],[1187])).
% 13.84/8.99 tff(1189,plain,
% 13.84/8.99 (^[VarCurr: state_type] : rewrite((v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))) <=> (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2))))))),
% 13.84/8.99 inference(bind,[status(th)],[])).
% 13.84/8.99 tff(1190,plain,
% 13.84/8.99 (![VarCurr: state_type] : (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))),
% 13.84/8.99 inference(quant_intro,[status(thm)],[1189])).
% 13.84/8.99 tff(1191,plain,
% 13.84/8.99 (![VarCurr: state_type] : (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 13.84/8.99 inference(rewrite,[status(thm)],[])).
% 13.84/8.99 tff(1192,plain,
% 13.84/8.99 (^[VarCurr: state_type] : rewrite((v117(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $false))) <=> (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))))),
% 13.84/8.99 inference(bind,[status(th)],[])).
% 13.84/8.99 tff(1193,plain,
% 13.84/8.99 (![VarCurr: state_type] : (v117(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 13.84/8.99 inference(quant_intro,[status(thm)],[1192])).
% 13.84/8.99 tff(1194,axiom,(![VarCurr: state_type] : (v117(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6')).
% 13.84/8.99 tff(1195,plain,
% 13.84/8.99 (![VarCurr: state_type] : (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 13.84/8.99 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 13.84/8.99 tff(1196,plain,
% 13.84/8.99 (![VarCurr: state_type] : (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 13.84/8.99 inference(modus_ponens,[status(thm)],[1195, 1191])).
% 13.84/8.99 tff(1197,plain,(
% 13.84/8.99 ![VarCurr: state_type] : (v117(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 13.84/8.99 inference(skolemize,[status(sab)],[1196])).
% 13.84/8.99 tff(1198,plain,
% 13.84/8.99 (![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))),
% 13.84/8.99 inference(modus_ponens,[status(thm)],[1197, 1190])).
% 13.84/8.99 tff(1199,plain,
% 13.84/8.99 (![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))),
% 13.84/8.99 inference(modus_ponens,[status(thm)],[1198, 1188])).
% 13.84/8.99 tff(1200,plain,
% 13.84/8.99 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))))))),
% 13.84/8.99 inference(rewrite,[status(thm)],[])).
% 13.84/8.99 tff(1201,plain,
% 13.84/8.99 ((v117(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 1) | (~v84(constB33, 2))))) <=> (v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))))),
% 13.84/8.99 inference(rewrite,[status(thm)],[])).
% 13.84/8.99 tff(1202,plain,
% 13.84/8.99 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 1) | (~v84(constB33, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))))))),
% 13.84/8.99 inference(monotonicity,[status(thm)],[1201])).
% 13.84/8.99 tff(1203,plain,
% 13.84/8.99 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 1) | (~v84(constB33, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))))))),
% 13.84/8.99 inference(transitivity,[status(thm)],[1202, 1200])).
% 13.84/8.99 tff(1204,plain,
% 13.84/8.99 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 0) | v84(constB33, 1) | (~v84(constB33, 2)))))),
% 13.84/8.99 inference(quant_inst,[status(thm)],[])).
% 13.84/8.99 tff(1205,plain,
% 13.84/8.99 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))))),
% 13.84/8.99 inference(modus_ponens,[status(thm)],[1204, 1203])).
% 13.84/8.99 tff(1206,plain,
% 13.84/8.99 (v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))))),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1205, 1199])).
% 13.84/8.99 tff(1207,plain,
% 13.84/8.99 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 13.84/8.99 inference(rewrite,[status(thm)],[])).
% 13.84/8.99 tff(1208,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_32')).
% 13.84/8.99 tff(1209,plain,
% 13.84/8.99 (nextState(constB32, constB33)),
% 13.84/8.99 inference(modus_ponens,[status(thm)],[1208, 1207])).
% 13.84/8.99 tff(1210,plain,
% 13.84/8.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB32, constB33)) | (v94(constB33) <=> (~((~v95(constB33)) | (~v104(constB33))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB32, constB33)) | (v94(constB33) <=> (~((~v95(constB33)) | (~v104(constB33))))))),
% 13.84/8.99 inference(rewrite,[status(thm)],[])).
% 13.84/8.99 tff(1211,plain,
% 13.84/8.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB32, constB33)) | (v94(constB33) <=> (~((~v95(constB33)) | (~v104(constB33))))))),
% 13.84/8.99 inference(quant_inst,[status(thm)],[])).
% 13.84/8.99 tff(1212,plain,
% 13.84/8.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB32, constB33)) | (v94(constB33) <=> (~((~v95(constB33)) | (~v104(constB33)))))),
% 13.84/8.99 inference(modus_ponens,[status(thm)],[1211, 1210])).
% 13.84/8.99 tff(1213,plain,
% 13.84/8.99 (v94(constB33) <=> (~((~v95(constB33)) | (~v104(constB33))))),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1212, 1209, 770])).
% 13.84/8.99 tff(1214,plain,
% 13.84/8.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33))))))),
% 13.84/8.99 inference(rewrite,[status(thm)],[])).
% 13.84/8.99 tff(1215,plain,
% 13.84/8.99 (((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v96(constB33)) | (~v1(constB33)))))) <=> ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33))))))),
% 13.84/8.99 inference(rewrite,[status(thm)],[])).
% 13.84/8.99 tff(1216,plain,
% 13.84/8.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v96(constB33)) | (~v1(constB33))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33)))))))),
% 13.84/8.99 inference(monotonicity,[status(thm)],[1215])).
% 13.84/8.99 tff(1217,plain,
% 13.84/8.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v96(constB33)) | (~v1(constB33))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33))))))),
% 13.84/8.99 inference(transitivity,[status(thm)],[1216, 1214])).
% 13.84/8.99 tff(1218,plain,
% 13.84/8.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v96(constB33)) | (~v1(constB33))))))),
% 13.84/8.99 inference(quant_inst,[status(thm)],[])).
% 13.84/8.99 tff(1219,plain,
% 13.84/8.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33)))))),
% 13.84/8.99 inference(modus_ponens,[status(thm)],[1218, 1217])).
% 13.84/8.99 tff(1220,plain,
% 13.84/8.99 (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33))))),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1219, 1209, 790])).
% 13.84/8.99 tff(1221,plain,
% 13.84/8.99 ((~v1(constB33)) <=> (~v1(constB33))),
% 13.84/8.99 inference(rewrite,[status(thm)],[])).
% 13.84/8.99 tff(1222,axiom,(~v1(constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_33')).
% 13.84/8.99 tff(1223,plain,
% 13.84/8.99 (~v1(constB33)),
% 13.84/8.99 inference(modus_ponens,[status(thm)],[1222, 1221])).
% 13.84/8.99 tff(1224,plain,
% 13.84/8.99 (((~v1(constB33)) | (~v96(constB33))) | v1(constB33)),
% 13.84/8.99 inference(tautology,[status(thm)],[])).
% 13.84/8.99 tff(1225,plain,
% 13.84/8.99 ((~v1(constB33)) | (~v96(constB33))),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1224, 1223])).
% 13.84/8.99 tff(1226,plain,
% 13.84/8.99 ((~(v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33)))))) | (~v95(constB33)) | (~((~v1(constB33)) | (~v96(constB33))))),
% 13.84/8.99 inference(tautology,[status(thm)],[])).
% 13.84/8.99 tff(1227,plain,
% 13.84/8.99 ((~(v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33)))))) | (~v95(constB33))),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1226, 1225])).
% 13.84/8.99 tff(1228,plain,
% 13.84/8.99 (~v95(constB33)),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1227, 1220])).
% 13.84/8.99 tff(1229,plain,
% 13.84/8.99 (((~v95(constB33)) | (~v104(constB33))) | v95(constB33)),
% 13.84/8.99 inference(tautology,[status(thm)],[])).
% 13.84/8.99 tff(1230,plain,
% 13.84/8.99 ((~v95(constB33)) | (~v104(constB33))),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1229, 1228])).
% 13.84/8.99 tff(1231,plain,
% 13.84/8.99 ((~(v94(constB33) <=> (~((~v95(constB33)) | (~v104(constB33)))))) | (~v94(constB33)) | (~((~v95(constB33)) | (~v104(constB33))))),
% 13.84/8.99 inference(tautology,[status(thm)],[])).
% 13.84/8.99 tff(1232,plain,
% 13.84/8.99 (~v94(constB33)),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1231, 1230, 1213])).
% 13.84/8.99 tff(1233,plain,
% 13.84/8.99 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB33) | (~nextState(constB32, constB33)) | (~(((~v84(constB33, 1)) <=> v84(constB32, 1)) | ((~v84(constB33, 2)) <=> v84(constB32, 2)) | ((~v84(constB33, 0)) <=> v84(constB32, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB33) | (~nextState(constB32, constB33)) | (~(((~v84(constB33, 1)) <=> v84(constB32, 1)) | ((~v84(constB33, 2)) <=> v84(constB32, 2)) | ((~v84(constB33, 0)) <=> v84(constB32, 0)))))),
% 13.84/8.99 inference(rewrite,[status(thm)],[])).
% 13.84/8.99 tff(1234,plain,
% 13.84/8.99 ((v94(constB33) | (~nextState(constB32, constB33)) | (~(((~v84(constB33, 2)) <=> v84(constB32, 2)) | ((~v84(constB33, 1)) <=> v84(constB32, 1)) | ((~v84(constB33, 0)) <=> v84(constB32, 0))))) <=> (v94(constB33) | (~nextState(constB32, constB33)) | (~(((~v84(constB33, 1)) <=> v84(constB32, 1)) | ((~v84(constB33, 2)) <=> v84(constB32, 2)) | ((~v84(constB33, 0)) <=> v84(constB32, 0)))))),
% 13.84/8.99 inference(rewrite,[status(thm)],[])).
% 13.84/8.99 tff(1235,plain,
% 13.84/8.99 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB33) | (~nextState(constB32, constB33)) | (~(((~v84(constB33, 2)) <=> v84(constB32, 2)) | ((~v84(constB33, 1)) <=> v84(constB32, 1)) | ((~v84(constB33, 0)) <=> v84(constB32, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB33) | (~nextState(constB32, constB33)) | (~(((~v84(constB33, 1)) <=> v84(constB32, 1)) | ((~v84(constB33, 2)) <=> v84(constB32, 2)) | ((~v84(constB33, 0)) <=> v84(constB32, 0))))))),
% 13.84/8.99 inference(monotonicity,[status(thm)],[1234])).
% 13.84/8.99 tff(1236,plain,
% 13.84/8.99 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB33) | (~nextState(constB32, constB33)) | (~(((~v84(constB33, 2)) <=> v84(constB32, 2)) | ((~v84(constB33, 1)) <=> v84(constB32, 1)) | ((~v84(constB33, 0)) <=> v84(constB32, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB33) | (~nextState(constB32, constB33)) | (~(((~v84(constB33, 1)) <=> v84(constB32, 1)) | ((~v84(constB33, 2)) <=> v84(constB32, 2)) | ((~v84(constB33, 0)) <=> v84(constB32, 0)))))),
% 13.84/8.99 inference(transitivity,[status(thm)],[1235, 1233])).
% 13.84/8.99 tff(1237,plain,
% 13.84/8.99 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB33) | (~nextState(constB32, constB33)) | (~(((~v84(constB33, 2)) <=> v84(constB32, 2)) | ((~v84(constB33, 1)) <=> v84(constB32, 1)) | ((~v84(constB33, 0)) <=> v84(constB32, 0)))))),
% 13.84/8.99 inference(quant_inst,[status(thm)],[])).
% 13.84/8.99 tff(1238,plain,
% 13.84/8.99 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB33) | (~nextState(constB32, constB33)) | (~(((~v84(constB33, 1)) <=> v84(constB32, 1)) | ((~v84(constB33, 2)) <=> v84(constB32, 2)) | ((~v84(constB33, 0)) <=> v84(constB32, 0))))),
% 13.84/8.99 inference(modus_ponens,[status(thm)],[1237, 1236])).
% 13.84/8.99 tff(1239,plain,
% 13.84/8.99 (v94(constB33) | (~(((~v84(constB33, 1)) <=> v84(constB32, 1)) | ((~v84(constB33, 2)) <=> v84(constB32, 2)) | ((~v84(constB33, 0)) <=> v84(constB32, 0))))),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1238, 1209, 819])).
% 13.84/8.99 tff(1240,plain,
% 13.84/8.99 (~(((~v84(constB33, 1)) <=> v84(constB32, 1)) | ((~v84(constB33, 2)) <=> v84(constB32, 2)) | ((~v84(constB33, 0)) <=> v84(constB32, 0)))),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1239, 1232])).
% 13.84/8.99 tff(1241,plain,
% 13.84/8.99 ((((~v84(constB33, 1)) <=> v84(constB32, 1)) | ((~v84(constB33, 2)) <=> v84(constB32, 2)) | ((~v84(constB33, 0)) <=> v84(constB32, 0))) | (~((~v84(constB33, 2)) <=> v84(constB32, 2)))),
% 13.84/8.99 inference(tautology,[status(thm)],[])).
% 13.84/8.99 tff(1242,plain,
% 13.84/8.99 (~((~v84(constB33, 2)) <=> v84(constB32, 2))),
% 13.84/8.99 inference(unit_resolution,[status(thm)],[1241, 1240])).
% 13.84/8.99 tff(1243,plain,
% 13.84/8.99 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 13.84/8.99 inference(rewrite,[status(thm)],[])).
% 13.84/8.99 tff(1244,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_31')).
% 13.84/8.99 tff(1245,plain,
% 13.84/8.99 (nextState(constB31, constB32)),
% 13.84/8.99 inference(modus_ponens,[status(thm)],[1244, 1243])).
% 13.84/8.99 tff(1246,plain,
% 13.84/8.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB31, constB32)) | (~(((~v123(constB32, 2)) <=> v121(constB31, 2)) | ((~v123(constB32, 1)) <=> v121(constB31, 1)) | ((~v123(constB32, 0)) <=> v121(constB31, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB31, constB32)) | (~(((~v123(constB32, 2)) <=> v121(constB31, 2)) | ((~v123(constB32, 1)) <=> v121(constB31, 1)) | ((~v123(constB32, 0)) <=> v121(constB31, 0)))))),
% 13.84/9.00 inference(rewrite,[status(thm)],[])).
% 13.84/9.00 tff(1247,plain,
% 13.84/9.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB31, constB32)) | (~(((~v123(constB32, 2)) <=> v121(constB31, 2)) | ((~v123(constB32, 1)) <=> v121(constB31, 1)) | ((~v123(constB32, 0)) <=> v121(constB31, 0)))))),
% 13.84/9.00 inference(quant_inst,[status(thm)],[])).
% 13.84/9.00 tff(1248,plain,
% 13.84/9.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB31, constB32)) | (~(((~v123(constB32, 2)) <=> v121(constB31, 2)) | ((~v123(constB32, 1)) <=> v121(constB31, 1)) | ((~v123(constB32, 0)) <=> v121(constB31, 0))))),
% 13.84/9.00 inference(modus_ponens,[status(thm)],[1247, 1246])).
% 13.84/9.00 tff(1249,plain,
% 13.84/9.00 (~(((~v123(constB32, 2)) <=> v121(constB31, 2)) | ((~v123(constB32, 1)) <=> v121(constB31, 1)) | ((~v123(constB32, 0)) <=> v121(constB31, 0)))),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1248, 1245, 842])).
% 13.84/9.00 tff(1250,plain,
% 13.84/9.00 ((((~v123(constB32, 2)) <=> v121(constB31, 2)) | ((~v123(constB32, 1)) <=> v121(constB31, 1)) | ((~v123(constB32, 0)) <=> v121(constB31, 0))) | (~((~v123(constB32, 2)) <=> v121(constB31, 2)))),
% 13.84/9.00 inference(tautology,[status(thm)],[])).
% 13.84/9.00 tff(1251,plain,
% 13.84/9.00 (~((~v123(constB32, 2)) <=> v121(constB31, 2))),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1250, 1249])).
% 13.84/9.00 tff(1252,plain,
% 13.84/9.00 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB31) <=> v26(constB31))),
% 13.84/9.00 inference(quant_inst,[status(thm)],[])).
% 13.84/9.00 tff(1253,plain,
% 13.84/9.00 (v105(constB31) <=> v26(constB31)),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1252, 861])).
% 13.84/9.00 tff(1254,plain,
% 13.84/9.00 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB31))),
% 13.84/9.00 inference(quant_inst,[status(thm)],[])).
% 13.84/9.00 tff(1255,plain,
% 13.84/9.00 (~v26(constB31)),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1254, 873])).
% 13.84/9.00 tff(1256,plain,
% 13.84/9.00 ((~(v105(constB31) <=> v26(constB31))) | (~v105(constB31)) | v26(constB31)),
% 13.84/9.00 inference(tautology,[status(thm)],[])).
% 13.84/9.00 tff(1257,plain,
% 13.84/9.00 ((~(v105(constB31) <=> v26(constB31))) | (~v105(constB31))),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1256, 1255])).
% 13.84/9.00 tff(1258,plain,
% 13.84/9.00 (~v105(constB31)),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1257, 1253])).
% 13.84/9.00 tff(1259,plain,
% 13.84/9.00 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB31) | (~(((~v121(constB31, 2)) <=> v124(constB31, 2)) | ((~v121(constB31, 0)) <=> v124(constB31, 0)) | ((~v121(constB31, 1)) <=> v124(constB31, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB31) | (~(((~v121(constB31, 2)) <=> v124(constB31, 2)) | ((~v121(constB31, 0)) <=> v124(constB31, 0)) | ((~v121(constB31, 1)) <=> v124(constB31, 1)))))),
% 13.84/9.00 inference(rewrite,[status(thm)],[])).
% 13.84/9.00 tff(1260,plain,
% 13.84/9.00 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB31) | (~(((~v121(constB31, 2)) <=> v124(constB31, 2)) | ((~v121(constB31, 0)) <=> v124(constB31, 0)) | ((~v121(constB31, 1)) <=> v124(constB31, 1)))))),
% 13.84/9.00 inference(quant_inst,[status(thm)],[])).
% 13.84/9.00 tff(1261,plain,
% 13.84/9.00 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB31) | (~(((~v121(constB31, 2)) <=> v124(constB31, 2)) | ((~v121(constB31, 0)) <=> v124(constB31, 0)) | ((~v121(constB31, 1)) <=> v124(constB31, 1))))),
% 13.84/9.00 inference(modus_ponens,[status(thm)],[1260, 1259])).
% 13.84/9.00 tff(1262,plain,
% 13.84/9.00 (v105(constB31) | (~(((~v121(constB31, 2)) <=> v124(constB31, 2)) | ((~v121(constB31, 0)) <=> v124(constB31, 0)) | ((~v121(constB31, 1)) <=> v124(constB31, 1))))),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1261, 891])).
% 13.84/9.00 tff(1263,plain,
% 13.84/9.00 (~(((~v121(constB31, 2)) <=> v124(constB31, 2)) | ((~v121(constB31, 0)) <=> v124(constB31, 0)) | ((~v121(constB31, 1)) <=> v124(constB31, 1)))),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1262, 1258])).
% 13.84/9.00 tff(1264,plain,
% 13.84/9.00 ((((~v121(constB31, 2)) <=> v124(constB31, 2)) | ((~v121(constB31, 0)) <=> v124(constB31, 0)) | ((~v121(constB31, 1)) <=> v124(constB31, 1))) | (~((~v121(constB31, 2)) <=> v124(constB31, 2)))),
% 13.84/9.00 inference(tautology,[status(thm)],[])).
% 13.84/9.00 tff(1265,plain,
% 13.84/9.00 (~((~v121(constB31, 2)) <=> v124(constB31, 2))),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1264, 1263])).
% 13.84/9.00 tff(1266,plain,
% 13.84/9.00 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB31) <=> (~(v84(constB31, 2) | (~v84(constB31, 1)) | (~v84(constB31, 0)))))),
% 13.84/9.00 inference(quant_inst,[status(thm)],[])).
% 13.84/9.00 tff(1267,plain,
% 13.84/9.00 (v116(constB31) <=> (~(v84(constB31, 2) | (~v84(constB31, 1)) | (~v84(constB31, 0))))),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1266, 911])).
% 13.84/9.00 tff(1268,plain,
% 13.84/9.00 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 13.84/9.00 inference(rewrite,[status(thm)],[])).
% 13.84/9.00 tff(1269,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_30')).
% 13.84/9.00 tff(1270,plain,
% 13.84/9.00 (nextState(constB30, constB31)),
% 13.84/9.00 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 13.84/9.00 tff(1271,plain,
% 13.84/9.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB30, constB31)) | (v94(constB31) <=> (~((~v95(constB31)) | (~v104(constB31))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB30, constB31)) | (v94(constB31) <=> (~((~v95(constB31)) | (~v104(constB31))))))),
% 13.84/9.00 inference(rewrite,[status(thm)],[])).
% 13.84/9.00 tff(1272,plain,
% 13.84/9.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB30, constB31)) | (v94(constB31) <=> (~((~v95(constB31)) | (~v104(constB31))))))),
% 13.84/9.00 inference(quant_inst,[status(thm)],[])).
% 13.84/9.00 tff(1273,plain,
% 13.84/9.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB30, constB31)) | (v94(constB31) <=> (~((~v95(constB31)) | (~v104(constB31)))))),
% 13.84/9.00 inference(modus_ponens,[status(thm)],[1272, 1271])).
% 13.84/9.00 tff(1274,plain,
% 13.84/9.00 (v94(constB31) <=> (~((~v95(constB31)) | (~v104(constB31))))),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1273, 1270, 770])).
% 13.84/9.00 tff(1275,plain,
% 13.84/9.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31))))))),
% 13.84/9.00 inference(rewrite,[status(thm)],[])).
% 13.84/9.00 tff(1276,plain,
% 13.84/9.00 (((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v96(constB31)) | (~v1(constB31)))))) <=> ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31))))))),
% 13.84/9.00 inference(rewrite,[status(thm)],[])).
% 13.84/9.00 tff(1277,plain,
% 13.84/9.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v96(constB31)) | (~v1(constB31))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31)))))))),
% 13.84/9.00 inference(monotonicity,[status(thm)],[1276])).
% 13.84/9.00 tff(1278,plain,
% 13.84/9.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v96(constB31)) | (~v1(constB31))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31))))))),
% 13.84/9.00 inference(transitivity,[status(thm)],[1277, 1275])).
% 13.84/9.00 tff(1279,plain,
% 13.84/9.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v96(constB31)) | (~v1(constB31))))))),
% 13.84/9.00 inference(quant_inst,[status(thm)],[])).
% 13.84/9.00 tff(1280,plain,
% 13.84/9.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31)))))),
% 13.84/9.00 inference(modus_ponens,[status(thm)],[1279, 1278])).
% 13.84/9.00 tff(1281,plain,
% 13.84/9.00 (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31))))),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1280, 1270, 790])).
% 13.84/9.00 tff(1282,plain,
% 13.84/9.00 ((~v1(constB31)) <=> (~v1(constB31))),
% 13.84/9.00 inference(rewrite,[status(thm)],[])).
% 13.84/9.00 tff(1283,axiom,(~v1(constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_31')).
% 13.84/9.00 tff(1284,plain,
% 13.84/9.00 (~v1(constB31)),
% 13.84/9.00 inference(modus_ponens,[status(thm)],[1283, 1282])).
% 13.84/9.00 tff(1285,plain,
% 13.84/9.00 (((~v1(constB31)) | (~v96(constB31))) | v1(constB31)),
% 13.84/9.00 inference(tautology,[status(thm)],[])).
% 13.84/9.00 tff(1286,plain,
% 13.84/9.00 ((~v1(constB31)) | (~v96(constB31))),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1285, 1284])).
% 13.84/9.00 tff(1287,plain,
% 13.84/9.00 ((~(v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31)))))) | (~v95(constB31)) | (~((~v1(constB31)) | (~v96(constB31))))),
% 13.84/9.00 inference(tautology,[status(thm)],[])).
% 13.84/9.00 tff(1288,plain,
% 13.84/9.00 ((~(v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31)))))) | (~v95(constB31))),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1287, 1286])).
% 13.84/9.00 tff(1289,plain,
% 13.84/9.00 (~v95(constB31)),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1288, 1281])).
% 13.84/9.00 tff(1290,plain,
% 13.84/9.00 (((~v95(constB31)) | (~v104(constB31))) | v95(constB31)),
% 13.84/9.00 inference(tautology,[status(thm)],[])).
% 13.84/9.00 tff(1291,plain,
% 13.84/9.00 ((~v95(constB31)) | (~v104(constB31))),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1290, 1289])).
% 13.84/9.00 tff(1292,plain,
% 13.84/9.00 ((~(v94(constB31) <=> (~((~v95(constB31)) | (~v104(constB31)))))) | (~v94(constB31)) | (~((~v95(constB31)) | (~v104(constB31))))),
% 13.84/9.00 inference(tautology,[status(thm)],[])).
% 13.84/9.00 tff(1293,plain,
% 13.84/9.00 (~v94(constB31)),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1292, 1291, 1274])).
% 13.84/9.00 tff(1294,plain,
% 13.84/9.00 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB31) | (~nextState(constB30, constB31)) | (~(((~v84(constB31, 1)) <=> v84(constB30, 1)) | ((~v84(constB31, 2)) <=> v84(constB30, 2)) | ((~v84(constB31, 0)) <=> v84(constB30, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB31) | (~nextState(constB30, constB31)) | (~(((~v84(constB31, 1)) <=> v84(constB30, 1)) | ((~v84(constB31, 2)) <=> v84(constB30, 2)) | ((~v84(constB31, 0)) <=> v84(constB30, 0)))))),
% 13.84/9.00 inference(rewrite,[status(thm)],[])).
% 13.84/9.00 tff(1295,plain,
% 13.84/9.00 ((v94(constB31) | (~nextState(constB30, constB31)) | (~(((~v84(constB31, 2)) <=> v84(constB30, 2)) | ((~v84(constB31, 1)) <=> v84(constB30, 1)) | ((~v84(constB31, 0)) <=> v84(constB30, 0))))) <=> (v94(constB31) | (~nextState(constB30, constB31)) | (~(((~v84(constB31, 1)) <=> v84(constB30, 1)) | ((~v84(constB31, 2)) <=> v84(constB30, 2)) | ((~v84(constB31, 0)) <=> v84(constB30, 0)))))),
% 13.84/9.00 inference(rewrite,[status(thm)],[])).
% 13.84/9.00 tff(1296,plain,
% 13.84/9.00 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB31) | (~nextState(constB30, constB31)) | (~(((~v84(constB31, 2)) <=> v84(constB30, 2)) | ((~v84(constB31, 1)) <=> v84(constB30, 1)) | ((~v84(constB31, 0)) <=> v84(constB30, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB31) | (~nextState(constB30, constB31)) | (~(((~v84(constB31, 1)) <=> v84(constB30, 1)) | ((~v84(constB31, 2)) <=> v84(constB30, 2)) | ((~v84(constB31, 0)) <=> v84(constB30, 0))))))),
% 13.84/9.00 inference(monotonicity,[status(thm)],[1295])).
% 13.84/9.00 tff(1297,plain,
% 13.84/9.00 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB31) | (~nextState(constB30, constB31)) | (~(((~v84(constB31, 2)) <=> v84(constB30, 2)) | ((~v84(constB31, 1)) <=> v84(constB30, 1)) | ((~v84(constB31, 0)) <=> v84(constB30, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB31) | (~nextState(constB30, constB31)) | (~(((~v84(constB31, 1)) <=> v84(constB30, 1)) | ((~v84(constB31, 2)) <=> v84(constB30, 2)) | ((~v84(constB31, 0)) <=> v84(constB30, 0)))))),
% 13.84/9.00 inference(transitivity,[status(thm)],[1296, 1294])).
% 13.84/9.00 tff(1298,plain,
% 13.84/9.00 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB31) | (~nextState(constB30, constB31)) | (~(((~v84(constB31, 2)) <=> v84(constB30, 2)) | ((~v84(constB31, 1)) <=> v84(constB30, 1)) | ((~v84(constB31, 0)) <=> v84(constB30, 0)))))),
% 13.84/9.00 inference(quant_inst,[status(thm)],[])).
% 13.84/9.00 tff(1299,plain,
% 13.84/9.00 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB31) | (~nextState(constB30, constB31)) | (~(((~v84(constB31, 1)) <=> v84(constB30, 1)) | ((~v84(constB31, 2)) <=> v84(constB30, 2)) | ((~v84(constB31, 0)) <=> v84(constB30, 0))))),
% 13.84/9.00 inference(modus_ponens,[status(thm)],[1298, 1297])).
% 13.84/9.00 tff(1300,plain,
% 13.84/9.00 (v94(constB31) | (~(((~v84(constB31, 1)) <=> v84(constB30, 1)) | ((~v84(constB31, 2)) <=> v84(constB30, 2)) | ((~v84(constB31, 0)) <=> v84(constB30, 0))))),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1299, 1270, 819])).
% 13.84/9.00 tff(1301,plain,
% 13.84/9.00 (~(((~v84(constB31, 1)) <=> v84(constB30, 1)) | ((~v84(constB31, 2)) <=> v84(constB30, 2)) | ((~v84(constB31, 0)) <=> v84(constB30, 0)))),
% 13.84/9.00 inference(unit_resolution,[status(thm)],[1300, 1293])).
% 13.84/9.01 tff(1302,plain,
% 13.84/9.01 ((((~v84(constB31, 1)) <=> v84(constB30, 1)) | ((~v84(constB31, 2)) <=> v84(constB30, 2)) | ((~v84(constB31, 0)) <=> v84(constB30, 0))) | (~((~v84(constB31, 2)) <=> v84(constB30, 2)))),
% 13.84/9.01 inference(tautology,[status(thm)],[])).
% 13.84/9.01 tff(1303,plain,
% 13.84/9.01 (~((~v84(constB31, 2)) <=> v84(constB30, 2))),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1302, 1301])).
% 13.84/9.01 tff(1304,plain,
% 13.84/9.01 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 13.84/9.01 inference(rewrite,[status(thm)],[])).
% 13.84/9.01 tff(1305,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_29')).
% 13.84/9.01 tff(1306,plain,
% 13.84/9.01 (nextState(constB29, constB30)),
% 13.84/9.01 inference(modus_ponens,[status(thm)],[1305, 1304])).
% 13.84/9.01 tff(1307,plain,
% 13.84/9.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB29, constB30)) | (~(((~v123(constB30, 2)) <=> v121(constB29, 2)) | ((~v123(constB30, 1)) <=> v121(constB29, 1)) | ((~v123(constB30, 0)) <=> v121(constB29, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB29, constB30)) | (~(((~v123(constB30, 2)) <=> v121(constB29, 2)) | ((~v123(constB30, 1)) <=> v121(constB29, 1)) | ((~v123(constB30, 0)) <=> v121(constB29, 0)))))),
% 13.84/9.01 inference(rewrite,[status(thm)],[])).
% 13.84/9.01 tff(1308,plain,
% 13.84/9.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB29, constB30)) | (~(((~v123(constB30, 2)) <=> v121(constB29, 2)) | ((~v123(constB30, 1)) <=> v121(constB29, 1)) | ((~v123(constB30, 0)) <=> v121(constB29, 0)))))),
% 13.84/9.01 inference(quant_inst,[status(thm)],[])).
% 13.84/9.01 tff(1309,plain,
% 13.84/9.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB29, constB30)) | (~(((~v123(constB30, 2)) <=> v121(constB29, 2)) | ((~v123(constB30, 1)) <=> v121(constB29, 1)) | ((~v123(constB30, 0)) <=> v121(constB29, 0))))),
% 13.84/9.01 inference(modus_ponens,[status(thm)],[1308, 1307])).
% 13.84/9.01 tff(1310,plain,
% 13.84/9.01 (~(((~v123(constB30, 2)) <=> v121(constB29, 2)) | ((~v123(constB30, 1)) <=> v121(constB29, 1)) | ((~v123(constB30, 0)) <=> v121(constB29, 0)))),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1309, 1306, 842])).
% 13.84/9.01 tff(1311,plain,
% 13.84/9.01 ((((~v123(constB30, 2)) <=> v121(constB29, 2)) | ((~v123(constB30, 1)) <=> v121(constB29, 1)) | ((~v123(constB30, 0)) <=> v121(constB29, 0))) | (~((~v123(constB30, 2)) <=> v121(constB29, 2)))),
% 13.84/9.01 inference(tautology,[status(thm)],[])).
% 13.84/9.01 tff(1312,plain,
% 13.84/9.01 (~((~v123(constB30, 2)) <=> v121(constB29, 2))),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1311, 1310])).
% 13.84/9.01 tff(1313,plain,
% 13.84/9.01 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB29) <=> v26(constB29))),
% 13.84/9.01 inference(quant_inst,[status(thm)],[])).
% 13.84/9.01 tff(1314,plain,
% 13.84/9.01 (v105(constB29) <=> v26(constB29)),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1313, 861])).
% 13.84/9.01 tff(1315,plain,
% 13.84/9.01 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB29))),
% 13.84/9.01 inference(quant_inst,[status(thm)],[])).
% 13.84/9.01 tff(1316,plain,
% 13.84/9.01 (~v26(constB29)),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1315, 873])).
% 13.84/9.01 tff(1317,plain,
% 13.84/9.01 ((~(v105(constB29) <=> v26(constB29))) | (~v105(constB29)) | v26(constB29)),
% 13.84/9.01 inference(tautology,[status(thm)],[])).
% 13.84/9.01 tff(1318,plain,
% 13.84/9.01 ((~(v105(constB29) <=> v26(constB29))) | (~v105(constB29))),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1317, 1316])).
% 13.84/9.01 tff(1319,plain,
% 13.84/9.01 (~v105(constB29)),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1318, 1314])).
% 13.84/9.01 tff(1320,plain,
% 13.84/9.01 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB29) | (~(((~v121(constB29, 2)) <=> v124(constB29, 2)) | ((~v121(constB29, 0)) <=> v124(constB29, 0)) | ((~v121(constB29, 1)) <=> v124(constB29, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB29) | (~(((~v121(constB29, 2)) <=> v124(constB29, 2)) | ((~v121(constB29, 0)) <=> v124(constB29, 0)) | ((~v121(constB29, 1)) <=> v124(constB29, 1)))))),
% 13.84/9.01 inference(rewrite,[status(thm)],[])).
% 13.84/9.01 tff(1321,plain,
% 13.84/9.01 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB29) | (~(((~v121(constB29, 2)) <=> v124(constB29, 2)) | ((~v121(constB29, 0)) <=> v124(constB29, 0)) | ((~v121(constB29, 1)) <=> v124(constB29, 1)))))),
% 13.84/9.01 inference(quant_inst,[status(thm)],[])).
% 13.84/9.01 tff(1322,plain,
% 13.84/9.01 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB29) | (~(((~v121(constB29, 2)) <=> v124(constB29, 2)) | ((~v121(constB29, 0)) <=> v124(constB29, 0)) | ((~v121(constB29, 1)) <=> v124(constB29, 1))))),
% 13.84/9.01 inference(modus_ponens,[status(thm)],[1321, 1320])).
% 13.84/9.01 tff(1323,plain,
% 13.84/9.01 (v105(constB29) | (~(((~v121(constB29, 2)) <=> v124(constB29, 2)) | ((~v121(constB29, 0)) <=> v124(constB29, 0)) | ((~v121(constB29, 1)) <=> v124(constB29, 1))))),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1322, 891])).
% 13.84/9.01 tff(1324,plain,
% 13.84/9.01 (~(((~v121(constB29, 2)) <=> v124(constB29, 2)) | ((~v121(constB29, 0)) <=> v124(constB29, 0)) | ((~v121(constB29, 1)) <=> v124(constB29, 1)))),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1323, 1319])).
% 13.84/9.01 tff(1325,plain,
% 13.84/9.01 ((((~v121(constB29, 2)) <=> v124(constB29, 2)) | ((~v121(constB29, 0)) <=> v124(constB29, 0)) | ((~v121(constB29, 1)) <=> v124(constB29, 1))) | (~((~v121(constB29, 2)) <=> v124(constB29, 2)))),
% 13.84/9.01 inference(tautology,[status(thm)],[])).
% 13.84/9.01 tff(1326,plain,
% 13.84/9.01 (~((~v121(constB29, 2)) <=> v124(constB29, 2))),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1325, 1324])).
% 13.84/9.01 tff(1327,plain,
% 13.84/9.01 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB29) <=> (~(v84(constB29, 2) | v84(constB29, 0) | (~v84(constB29, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB29) <=> (~(v84(constB29, 2) | v84(constB29, 0) | (~v84(constB29, 1))))))),
% 13.84/9.01 inference(rewrite,[status(thm)],[])).
% 13.84/9.01 tff(1328,plain,
% 13.84/9.01 ((v115(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1))))) <=> (v115(constB29) <=> (~(v84(constB29, 2) | v84(constB29, 0) | (~v84(constB29, 1)))))),
% 13.84/9.01 inference(rewrite,[status(thm)],[])).
% 13.84/9.01 tff(1329,plain,
% 13.84/9.01 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB29) <=> (~(v84(constB29, 2) | v84(constB29, 0) | (~v84(constB29, 1))))))),
% 13.84/9.01 inference(monotonicity,[status(thm)],[1328])).
% 13.84/9.01 tff(1330,plain,
% 13.84/9.01 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB29) <=> (~(v84(constB29, 2) | v84(constB29, 0) | (~v84(constB29, 1))))))),
% 13.84/9.01 inference(transitivity,[status(thm)],[1329, 1327])).
% 13.84/9.01 tff(1331,plain,
% 13.84/9.01 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB29) <=> (~(v84(constB29, 0) | v84(constB29, 2) | (~v84(constB29, 1)))))),
% 13.84/9.01 inference(quant_inst,[status(thm)],[])).
% 13.84/9.01 tff(1332,plain,
% 13.84/9.01 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB29) <=> (~(v84(constB29, 2) | v84(constB29, 0) | (~v84(constB29, 1)))))),
% 13.84/9.01 inference(modus_ponens,[status(thm)],[1331, 1330])).
% 13.84/9.01 tff(1333,plain,
% 13.84/9.01 (v115(constB29) <=> (~(v84(constB29, 2) | v84(constB29, 0) | (~v84(constB29, 1))))),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1332, 985])).
% 13.84/9.01 tff(1334,plain,
% 13.84/9.01 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 13.84/9.01 inference(rewrite,[status(thm)],[])).
% 13.84/9.01 tff(1335,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_28')).
% 13.84/9.01 tff(1336,plain,
% 13.84/9.01 (nextState(constB28, constB29)),
% 13.84/9.01 inference(modus_ponens,[status(thm)],[1335, 1334])).
% 13.84/9.01 tff(1337,plain,
% 13.84/9.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB28, constB29)) | (v94(constB29) <=> (~((~v95(constB29)) | (~v104(constB29))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB28, constB29)) | (v94(constB29) <=> (~((~v95(constB29)) | (~v104(constB29))))))),
% 13.84/9.01 inference(rewrite,[status(thm)],[])).
% 13.84/9.01 tff(1338,plain,
% 13.84/9.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB28, constB29)) | (v94(constB29) <=> (~((~v95(constB29)) | (~v104(constB29))))))),
% 13.84/9.01 inference(quant_inst,[status(thm)],[])).
% 13.84/9.01 tff(1339,plain,
% 13.84/9.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB28, constB29)) | (v94(constB29) <=> (~((~v95(constB29)) | (~v104(constB29)))))),
% 13.84/9.01 inference(modus_ponens,[status(thm)],[1338, 1337])).
% 13.84/9.01 tff(1340,plain,
% 13.84/9.01 (v94(constB29) <=> (~((~v95(constB29)) | (~v104(constB29))))),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1339, 1336, 770])).
% 13.84/9.01 tff(1341,plain,
% 13.84/9.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29))))))),
% 13.84/9.01 inference(rewrite,[status(thm)],[])).
% 13.84/9.01 tff(1342,plain,
% 13.84/9.01 (((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v96(constB29)) | (~v1(constB29)))))) <=> ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29))))))),
% 13.84/9.01 inference(rewrite,[status(thm)],[])).
% 13.84/9.01 tff(1343,plain,
% 13.84/9.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v96(constB29)) | (~v1(constB29))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29)))))))),
% 13.84/9.01 inference(monotonicity,[status(thm)],[1342])).
% 13.84/9.01 tff(1344,plain,
% 13.84/9.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v96(constB29)) | (~v1(constB29))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29))))))),
% 13.84/9.01 inference(transitivity,[status(thm)],[1343, 1341])).
% 13.84/9.01 tff(1345,plain,
% 13.84/9.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v96(constB29)) | (~v1(constB29))))))),
% 13.84/9.01 inference(quant_inst,[status(thm)],[])).
% 13.84/9.01 tff(1346,plain,
% 13.84/9.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29)))))),
% 13.84/9.01 inference(modus_ponens,[status(thm)],[1345, 1344])).
% 13.84/9.01 tff(1347,plain,
% 13.84/9.01 (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29))))),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1346, 1336, 790])).
% 13.84/9.01 tff(1348,plain,
% 13.84/9.01 ((~v1(constB29)) <=> (~v1(constB29))),
% 13.84/9.01 inference(rewrite,[status(thm)],[])).
% 13.84/9.01 tff(1349,axiom,(~v1(constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_29')).
% 13.84/9.01 tff(1350,plain,
% 13.84/9.01 (~v1(constB29)),
% 13.84/9.01 inference(modus_ponens,[status(thm)],[1349, 1348])).
% 13.84/9.01 tff(1351,plain,
% 13.84/9.01 (((~v1(constB29)) | (~v96(constB29))) | v1(constB29)),
% 13.84/9.01 inference(tautology,[status(thm)],[])).
% 13.84/9.01 tff(1352,plain,
% 13.84/9.01 ((~v1(constB29)) | (~v96(constB29))),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1351, 1350])).
% 13.84/9.01 tff(1353,plain,
% 13.84/9.01 ((~(v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29)))))) | (~v95(constB29)) | (~((~v1(constB29)) | (~v96(constB29))))),
% 13.84/9.01 inference(tautology,[status(thm)],[])).
% 13.84/9.01 tff(1354,plain,
% 13.84/9.01 ((~(v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29)))))) | (~v95(constB29))),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1353, 1352])).
% 13.84/9.01 tff(1355,plain,
% 13.84/9.01 (~v95(constB29)),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1354, 1347])).
% 13.84/9.01 tff(1356,plain,
% 13.84/9.01 (((~v95(constB29)) | (~v104(constB29))) | v95(constB29)),
% 13.84/9.01 inference(tautology,[status(thm)],[])).
% 13.84/9.01 tff(1357,plain,
% 13.84/9.01 ((~v95(constB29)) | (~v104(constB29))),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1356, 1355])).
% 13.84/9.01 tff(1358,plain,
% 13.84/9.01 ((~(v94(constB29) <=> (~((~v95(constB29)) | (~v104(constB29)))))) | (~v94(constB29)) | (~((~v95(constB29)) | (~v104(constB29))))),
% 13.84/9.01 inference(tautology,[status(thm)],[])).
% 13.84/9.01 tff(1359,plain,
% 13.84/9.01 (~v94(constB29)),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1358, 1357, 1340])).
% 13.84/9.01 tff(1360,plain,
% 13.84/9.01 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB29) | (~nextState(constB28, constB29)) | (~(((~v84(constB29, 1)) <=> v84(constB28, 1)) | ((~v84(constB29, 2)) <=> v84(constB28, 2)) | ((~v84(constB29, 0)) <=> v84(constB28, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB29) | (~nextState(constB28, constB29)) | (~(((~v84(constB29, 1)) <=> v84(constB28, 1)) | ((~v84(constB29, 2)) <=> v84(constB28, 2)) | ((~v84(constB29, 0)) <=> v84(constB28, 0)))))),
% 13.84/9.01 inference(rewrite,[status(thm)],[])).
% 13.84/9.01 tff(1361,plain,
% 13.84/9.01 ((v94(constB29) | (~nextState(constB28, constB29)) | (~(((~v84(constB29, 2)) <=> v84(constB28, 2)) | ((~v84(constB29, 1)) <=> v84(constB28, 1)) | ((~v84(constB29, 0)) <=> v84(constB28, 0))))) <=> (v94(constB29) | (~nextState(constB28, constB29)) | (~(((~v84(constB29, 1)) <=> v84(constB28, 1)) | ((~v84(constB29, 2)) <=> v84(constB28, 2)) | ((~v84(constB29, 0)) <=> v84(constB28, 0)))))),
% 13.84/9.01 inference(rewrite,[status(thm)],[])).
% 13.84/9.01 tff(1362,plain,
% 13.84/9.01 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB29) | (~nextState(constB28, constB29)) | (~(((~v84(constB29, 2)) <=> v84(constB28, 2)) | ((~v84(constB29, 1)) <=> v84(constB28, 1)) | ((~v84(constB29, 0)) <=> v84(constB28, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB29) | (~nextState(constB28, constB29)) | (~(((~v84(constB29, 1)) <=> v84(constB28, 1)) | ((~v84(constB29, 2)) <=> v84(constB28, 2)) | ((~v84(constB29, 0)) <=> v84(constB28, 0))))))),
% 13.84/9.01 inference(monotonicity,[status(thm)],[1361])).
% 13.84/9.01 tff(1363,plain,
% 13.84/9.01 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB29) | (~nextState(constB28, constB29)) | (~(((~v84(constB29, 2)) <=> v84(constB28, 2)) | ((~v84(constB29, 1)) <=> v84(constB28, 1)) | ((~v84(constB29, 0)) <=> v84(constB28, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB29) | (~nextState(constB28, constB29)) | (~(((~v84(constB29, 1)) <=> v84(constB28, 1)) | ((~v84(constB29, 2)) <=> v84(constB28, 2)) | ((~v84(constB29, 0)) <=> v84(constB28, 0)))))),
% 13.84/9.01 inference(transitivity,[status(thm)],[1362, 1360])).
% 13.84/9.01 tff(1364,plain,
% 13.84/9.01 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB29) | (~nextState(constB28, constB29)) | (~(((~v84(constB29, 2)) <=> v84(constB28, 2)) | ((~v84(constB29, 1)) <=> v84(constB28, 1)) | ((~v84(constB29, 0)) <=> v84(constB28, 0)))))),
% 13.84/9.01 inference(quant_inst,[status(thm)],[])).
% 13.84/9.01 tff(1365,plain,
% 13.84/9.01 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB29) | (~nextState(constB28, constB29)) | (~(((~v84(constB29, 1)) <=> v84(constB28, 1)) | ((~v84(constB29, 2)) <=> v84(constB28, 2)) | ((~v84(constB29, 0)) <=> v84(constB28, 0))))),
% 13.84/9.01 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 13.84/9.01 tff(1366,plain,
% 13.84/9.01 (v94(constB29) | (~(((~v84(constB29, 1)) <=> v84(constB28, 1)) | ((~v84(constB29, 2)) <=> v84(constB28, 2)) | ((~v84(constB29, 0)) <=> v84(constB28, 0))))),
% 13.84/9.01 inference(unit_resolution,[status(thm)],[1365, 1336, 819])).
% 13.84/9.01 tff(1367,plain,
% 13.84/9.01 (~(((~v84(constB29, 1)) <=> v84(constB28, 1)) | ((~v84(constB29, 2)) <=> v84(constB28, 2)) | ((~v84(constB29, 0)) <=> v84(constB28, 0)))),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1366, 1359])).
% 13.84/9.02 tff(1368,plain,
% 13.84/9.02 ((((~v84(constB29, 1)) <=> v84(constB28, 1)) | ((~v84(constB29, 2)) <=> v84(constB28, 2)) | ((~v84(constB29, 0)) <=> v84(constB28, 0))) | (~((~v84(constB29, 2)) <=> v84(constB28, 2)))),
% 13.84/9.02 inference(tautology,[status(thm)],[])).
% 13.84/9.02 tff(1369,plain,
% 13.84/9.02 (~((~v84(constB29, 2)) <=> v84(constB28, 2))),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1368, 1367])).
% 13.84/9.02 tff(1370,plain,
% 13.84/9.02 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 13.84/9.02 inference(rewrite,[status(thm)],[])).
% 13.84/9.02 tff(1371,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_27')).
% 13.84/9.02 tff(1372,plain,
% 13.84/9.02 (nextState(constB27, constB28)),
% 13.84/9.02 inference(modus_ponens,[status(thm)],[1371, 1370])).
% 13.84/9.02 tff(1373,plain,
% 13.84/9.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB27, constB28)) | (~(((~v123(constB28, 2)) <=> v121(constB27, 2)) | ((~v123(constB28, 1)) <=> v121(constB27, 1)) | ((~v123(constB28, 0)) <=> v121(constB27, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB27, constB28)) | (~(((~v123(constB28, 2)) <=> v121(constB27, 2)) | ((~v123(constB28, 1)) <=> v121(constB27, 1)) | ((~v123(constB28, 0)) <=> v121(constB27, 0)))))),
% 13.84/9.02 inference(rewrite,[status(thm)],[])).
% 13.84/9.02 tff(1374,plain,
% 13.84/9.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB27, constB28)) | (~(((~v123(constB28, 2)) <=> v121(constB27, 2)) | ((~v123(constB28, 1)) <=> v121(constB27, 1)) | ((~v123(constB28, 0)) <=> v121(constB27, 0)))))),
% 13.84/9.02 inference(quant_inst,[status(thm)],[])).
% 13.84/9.02 tff(1375,plain,
% 13.84/9.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB27, constB28)) | (~(((~v123(constB28, 2)) <=> v121(constB27, 2)) | ((~v123(constB28, 1)) <=> v121(constB27, 1)) | ((~v123(constB28, 0)) <=> v121(constB27, 0))))),
% 13.84/9.02 inference(modus_ponens,[status(thm)],[1374, 1373])).
% 13.84/9.02 tff(1376,plain,
% 13.84/9.02 (~(((~v123(constB28, 2)) <=> v121(constB27, 2)) | ((~v123(constB28, 1)) <=> v121(constB27, 1)) | ((~v123(constB28, 0)) <=> v121(constB27, 0)))),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1375, 1372, 842])).
% 13.84/9.02 tff(1377,plain,
% 13.84/9.02 ((((~v123(constB28, 2)) <=> v121(constB27, 2)) | ((~v123(constB28, 1)) <=> v121(constB27, 1)) | ((~v123(constB28, 0)) <=> v121(constB27, 0))) | (~((~v123(constB28, 2)) <=> v121(constB27, 2)))),
% 13.84/9.02 inference(tautology,[status(thm)],[])).
% 13.84/9.02 tff(1378,plain,
% 13.84/9.02 (~((~v123(constB28, 2)) <=> v121(constB27, 2))),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1377, 1376])).
% 13.84/9.02 tff(1379,plain,
% 13.84/9.02 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB27) <=> v26(constB27))),
% 13.84/9.02 inference(quant_inst,[status(thm)],[])).
% 13.84/9.02 tff(1380,plain,
% 13.84/9.02 (v105(constB27) <=> v26(constB27)),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1379, 861])).
% 13.84/9.02 tff(1381,plain,
% 13.84/9.02 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB27))),
% 13.84/9.02 inference(quant_inst,[status(thm)],[])).
% 13.84/9.02 tff(1382,plain,
% 13.84/9.02 (~v26(constB27)),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1381, 873])).
% 13.84/9.02 tff(1383,plain,
% 13.84/9.02 ((~(v105(constB27) <=> v26(constB27))) | (~v105(constB27)) | v26(constB27)),
% 13.84/9.02 inference(tautology,[status(thm)],[])).
% 13.84/9.02 tff(1384,plain,
% 13.84/9.02 ((~(v105(constB27) <=> v26(constB27))) | (~v105(constB27))),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1383, 1382])).
% 13.84/9.02 tff(1385,plain,
% 13.84/9.02 (~v105(constB27)),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1384, 1380])).
% 13.84/9.02 tff(1386,plain,
% 13.84/9.02 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB27) | (~(((~v121(constB27, 2)) <=> v124(constB27, 2)) | ((~v121(constB27, 0)) <=> v124(constB27, 0)) | ((~v121(constB27, 1)) <=> v124(constB27, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB27) | (~(((~v121(constB27, 2)) <=> v124(constB27, 2)) | ((~v121(constB27, 0)) <=> v124(constB27, 0)) | ((~v121(constB27, 1)) <=> v124(constB27, 1)))))),
% 13.84/9.02 inference(rewrite,[status(thm)],[])).
% 13.84/9.02 tff(1387,plain,
% 13.84/9.02 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB27) | (~(((~v121(constB27, 2)) <=> v124(constB27, 2)) | ((~v121(constB27, 0)) <=> v124(constB27, 0)) | ((~v121(constB27, 1)) <=> v124(constB27, 1)))))),
% 13.84/9.02 inference(quant_inst,[status(thm)],[])).
% 13.84/9.02 tff(1388,plain,
% 13.84/9.02 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB27) | (~(((~v121(constB27, 2)) <=> v124(constB27, 2)) | ((~v121(constB27, 0)) <=> v124(constB27, 0)) | ((~v121(constB27, 1)) <=> v124(constB27, 1))))),
% 13.84/9.02 inference(modus_ponens,[status(thm)],[1387, 1386])).
% 13.84/9.02 tff(1389,plain,
% 13.84/9.02 (v105(constB27) | (~(((~v121(constB27, 2)) <=> v124(constB27, 2)) | ((~v121(constB27, 0)) <=> v124(constB27, 0)) | ((~v121(constB27, 1)) <=> v124(constB27, 1))))),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1388, 891])).
% 13.84/9.02 tff(1390,plain,
% 13.84/9.02 (~(((~v121(constB27, 2)) <=> v124(constB27, 2)) | ((~v121(constB27, 0)) <=> v124(constB27, 0)) | ((~v121(constB27, 1)) <=> v124(constB27, 1)))),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1389, 1385])).
% 13.84/9.02 tff(1391,plain,
% 13.84/9.02 ((((~v121(constB27, 2)) <=> v124(constB27, 2)) | ((~v121(constB27, 0)) <=> v124(constB27, 0)) | ((~v121(constB27, 1)) <=> v124(constB27, 1))) | (~((~v121(constB27, 2)) <=> v124(constB27, 2)))),
% 13.84/9.02 inference(tautology,[status(thm)],[])).
% 13.84/9.02 tff(1392,plain,
% 13.84/9.02 (~((~v121(constB27, 2)) <=> v124(constB27, 2))),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1391, 1390])).
% 13.84/9.02 tff(1393,plain,
% 13.84/9.02 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 2) | (~v84(constB27, 0)))))),
% 13.84/9.02 inference(quant_inst,[status(thm)],[])).
% 13.84/9.02 tff(1394,plain,
% 13.84/9.02 (v114(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 2) | (~v84(constB27, 0))))),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1393, 1064])).
% 13.84/9.02 tff(1395,plain,
% 13.84/9.02 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 13.84/9.02 inference(rewrite,[status(thm)],[])).
% 13.84/9.02 tff(1396,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_26')).
% 13.84/9.02 tff(1397,plain,
% 13.84/9.02 (nextState(constB26, constB27)),
% 13.84/9.02 inference(modus_ponens,[status(thm)],[1396, 1395])).
% 13.84/9.02 tff(1398,plain,
% 13.84/9.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB26, constB27)) | (v94(constB27) <=> (~((~v95(constB27)) | (~v104(constB27))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB26, constB27)) | (v94(constB27) <=> (~((~v95(constB27)) | (~v104(constB27))))))),
% 13.84/9.02 inference(rewrite,[status(thm)],[])).
% 13.84/9.02 tff(1399,plain,
% 13.84/9.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB26, constB27)) | (v94(constB27) <=> (~((~v95(constB27)) | (~v104(constB27))))))),
% 13.84/9.02 inference(quant_inst,[status(thm)],[])).
% 13.84/9.02 tff(1400,plain,
% 13.84/9.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB26, constB27)) | (v94(constB27) <=> (~((~v95(constB27)) | (~v104(constB27)))))),
% 13.84/9.02 inference(modus_ponens,[status(thm)],[1399, 1398])).
% 13.84/9.02 tff(1401,plain,
% 13.84/9.02 (v94(constB27) <=> (~((~v95(constB27)) | (~v104(constB27))))),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1400, 1397, 770])).
% 13.84/9.02 tff(1402,plain,
% 13.84/9.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27))))))),
% 13.84/9.02 inference(rewrite,[status(thm)],[])).
% 13.84/9.02 tff(1403,plain,
% 13.84/9.02 (((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v96(constB27)) | (~v1(constB27)))))) <=> ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27))))))),
% 13.84/9.02 inference(rewrite,[status(thm)],[])).
% 13.84/9.02 tff(1404,plain,
% 13.84/9.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v96(constB27)) | (~v1(constB27))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27)))))))),
% 13.84/9.02 inference(monotonicity,[status(thm)],[1403])).
% 13.84/9.02 tff(1405,plain,
% 13.84/9.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v96(constB27)) | (~v1(constB27))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27))))))),
% 13.84/9.02 inference(transitivity,[status(thm)],[1404, 1402])).
% 13.84/9.02 tff(1406,plain,
% 13.84/9.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v96(constB27)) | (~v1(constB27))))))),
% 13.84/9.02 inference(quant_inst,[status(thm)],[])).
% 13.84/9.02 tff(1407,plain,
% 13.84/9.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27)))))),
% 13.84/9.02 inference(modus_ponens,[status(thm)],[1406, 1405])).
% 13.84/9.02 tff(1408,plain,
% 13.84/9.02 (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27))))),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1407, 1397, 790])).
% 13.84/9.02 tff(1409,plain,
% 13.84/9.02 ((~v1(constB27)) <=> (~v1(constB27))),
% 13.84/9.02 inference(rewrite,[status(thm)],[])).
% 13.84/9.02 tff(1410,axiom,(~v1(constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_27')).
% 13.84/9.02 tff(1411,plain,
% 13.84/9.02 (~v1(constB27)),
% 13.84/9.02 inference(modus_ponens,[status(thm)],[1410, 1409])).
% 13.84/9.02 tff(1412,plain,
% 13.84/9.02 (((~v1(constB27)) | (~v96(constB27))) | v1(constB27)),
% 13.84/9.02 inference(tautology,[status(thm)],[])).
% 13.84/9.02 tff(1413,plain,
% 13.84/9.02 ((~v1(constB27)) | (~v96(constB27))),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1412, 1411])).
% 13.84/9.02 tff(1414,plain,
% 13.84/9.02 ((~(v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27)))))) | (~v95(constB27)) | (~((~v1(constB27)) | (~v96(constB27))))),
% 13.84/9.02 inference(tautology,[status(thm)],[])).
% 13.84/9.02 tff(1415,plain,
% 13.84/9.02 ((~(v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27)))))) | (~v95(constB27))),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1414, 1413])).
% 13.84/9.02 tff(1416,plain,
% 13.84/9.02 (~v95(constB27)),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1415, 1408])).
% 13.84/9.02 tff(1417,plain,
% 13.84/9.02 (((~v95(constB27)) | (~v104(constB27))) | v95(constB27)),
% 13.84/9.02 inference(tautology,[status(thm)],[])).
% 13.84/9.02 tff(1418,plain,
% 13.84/9.02 ((~v95(constB27)) | (~v104(constB27))),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1417, 1416])).
% 13.84/9.02 tff(1419,plain,
% 13.84/9.02 ((~(v94(constB27) <=> (~((~v95(constB27)) | (~v104(constB27)))))) | (~v94(constB27)) | (~((~v95(constB27)) | (~v104(constB27))))),
% 13.84/9.02 inference(tautology,[status(thm)],[])).
% 13.84/9.02 tff(1420,plain,
% 13.84/9.02 (~v94(constB27)),
% 13.84/9.02 inference(unit_resolution,[status(thm)],[1419, 1418, 1401])).
% 13.84/9.02 tff(1421,plain,
% 13.84/9.02 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB27) | (~nextState(constB26, constB27)) | (~(((~v84(constB27, 1)) <=> v84(constB26, 1)) | ((~v84(constB27, 2)) <=> v84(constB26, 2)) | ((~v84(constB27, 0)) <=> v84(constB26, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB27) | (~nextState(constB26, constB27)) | (~(((~v84(constB27, 1)) <=> v84(constB26, 1)) | ((~v84(constB27, 2)) <=> v84(constB26, 2)) | ((~v84(constB27, 0)) <=> v84(constB26, 0)))))),
% 13.84/9.02 inference(rewrite,[status(thm)],[])).
% 13.84/9.02 tff(1422,plain,
% 13.84/9.02 ((v94(constB27) | (~nextState(constB26, constB27)) | (~(((~v84(constB27, 2)) <=> v84(constB26, 2)) | ((~v84(constB27, 1)) <=> v84(constB26, 1)) | ((~v84(constB27, 0)) <=> v84(constB26, 0))))) <=> (v94(constB27) | (~nextState(constB26, constB27)) | (~(((~v84(constB27, 1)) <=> v84(constB26, 1)) | ((~v84(constB27, 2)) <=> v84(constB26, 2)) | ((~v84(constB27, 0)) <=> v84(constB26, 0)))))),
% 13.84/9.02 inference(rewrite,[status(thm)],[])).
% 13.84/9.02 tff(1423,plain,
% 13.84/9.02 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB27) | (~nextState(constB26, constB27)) | (~(((~v84(constB27, 2)) <=> v84(constB26, 2)) | ((~v84(constB27, 1)) <=> v84(constB26, 1)) | ((~v84(constB27, 0)) <=> v84(constB26, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB27) | (~nextState(constB26, constB27)) | (~(((~v84(constB27, 1)) <=> v84(constB26, 1)) | ((~v84(constB27, 2)) <=> v84(constB26, 2)) | ((~v84(constB27, 0)) <=> v84(constB26, 0))))))),
% 13.84/9.02 inference(monotonicity,[status(thm)],[1422])).
% 13.84/9.02 tff(1424,plain,
% 13.84/9.02 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB27) | (~nextState(constB26, constB27)) | (~(((~v84(constB27, 2)) <=> v84(constB26, 2)) | ((~v84(constB27, 1)) <=> v84(constB26, 1)) | ((~v84(constB27, 0)) <=> v84(constB26, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB27) | (~nextState(constB26, constB27)) | (~(((~v84(constB27, 1)) <=> v84(constB26, 1)) | ((~v84(constB27, 2)) <=> v84(constB26, 2)) | ((~v84(constB27, 0)) <=> v84(constB26, 0)))))),
% 13.84/9.02 inference(transitivity,[status(thm)],[1423, 1421])).
% 13.84/9.02 tff(1425,plain,
% 13.84/9.02 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB27) | (~nextState(constB26, constB27)) | (~(((~v84(constB27, 2)) <=> v84(constB26, 2)) | ((~v84(constB27, 1)) <=> v84(constB26, 1)) | ((~v84(constB27, 0)) <=> v84(constB26, 0)))))),
% 13.84/9.02 inference(quant_inst,[status(thm)],[])).
% 13.84/9.02 tff(1426,plain,
% 13.84/9.02 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB27) | (~nextState(constB26, constB27)) | (~(((~v84(constB27, 1)) <=> v84(constB26, 1)) | ((~v84(constB27, 2)) <=> v84(constB26, 2)) | ((~v84(constB27, 0)) <=> v84(constB26, 0))))),
% 13.84/9.02 inference(modus_ponens,[status(thm)],[1425, 1424])).
% 13.84/9.02 tff(1427,plain,
% 13.84/9.02 (v94(constB27) | (~(((~v84(constB27, 1)) <=> v84(constB26, 1)) | ((~v84(constB27, 2)) <=> v84(constB26, 2)) | ((~v84(constB27, 0)) <=> v84(constB26, 0))))),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1426, 1397, 819])).
% 13.84/9.03 tff(1428,plain,
% 13.84/9.03 (~(((~v84(constB27, 1)) <=> v84(constB26, 1)) | ((~v84(constB27, 2)) <=> v84(constB26, 2)) | ((~v84(constB27, 0)) <=> v84(constB26, 0)))),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1427, 1420])).
% 13.84/9.03 tff(1429,plain,
% 13.84/9.03 ((((~v84(constB27, 1)) <=> v84(constB26, 1)) | ((~v84(constB27, 2)) <=> v84(constB26, 2)) | ((~v84(constB27, 0)) <=> v84(constB26, 0))) | (~((~v84(constB27, 2)) <=> v84(constB26, 2)))),
% 13.84/9.03 inference(tautology,[status(thm)],[])).
% 13.84/9.03 tff(1430,plain,
% 13.84/9.03 (~((~v84(constB27, 2)) <=> v84(constB26, 2))),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1429, 1428])).
% 13.84/9.03 tff(1431,plain,
% 13.84/9.03 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 13.84/9.03 inference(rewrite,[status(thm)],[])).
% 13.84/9.03 tff(1432,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_25')).
% 13.84/9.03 tff(1433,plain,
% 13.84/9.03 (nextState(constB25, constB26)),
% 13.84/9.03 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 13.84/9.03 tff(1434,plain,
% 13.84/9.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB25, constB26)) | (~(((~v123(constB26, 2)) <=> v121(constB25, 2)) | ((~v123(constB26, 1)) <=> v121(constB25, 1)) | ((~v123(constB26, 0)) <=> v121(constB25, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB25, constB26)) | (~(((~v123(constB26, 2)) <=> v121(constB25, 2)) | ((~v123(constB26, 1)) <=> v121(constB25, 1)) | ((~v123(constB26, 0)) <=> v121(constB25, 0)))))),
% 13.84/9.03 inference(rewrite,[status(thm)],[])).
% 13.84/9.03 tff(1435,plain,
% 13.84/9.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB25, constB26)) | (~(((~v123(constB26, 2)) <=> v121(constB25, 2)) | ((~v123(constB26, 1)) <=> v121(constB25, 1)) | ((~v123(constB26, 0)) <=> v121(constB25, 0)))))),
% 13.84/9.03 inference(quant_inst,[status(thm)],[])).
% 13.84/9.03 tff(1436,plain,
% 13.84/9.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB25, constB26)) | (~(((~v123(constB26, 2)) <=> v121(constB25, 2)) | ((~v123(constB26, 1)) <=> v121(constB25, 1)) | ((~v123(constB26, 0)) <=> v121(constB25, 0))))),
% 13.84/9.03 inference(modus_ponens,[status(thm)],[1435, 1434])).
% 13.84/9.03 tff(1437,plain,
% 13.84/9.03 (~(((~v123(constB26, 2)) <=> v121(constB25, 2)) | ((~v123(constB26, 1)) <=> v121(constB25, 1)) | ((~v123(constB26, 0)) <=> v121(constB25, 0)))),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1436, 1433, 842])).
% 13.84/9.03 tff(1438,plain,
% 13.84/9.03 ((((~v123(constB26, 2)) <=> v121(constB25, 2)) | ((~v123(constB26, 1)) <=> v121(constB25, 1)) | ((~v123(constB26, 0)) <=> v121(constB25, 0))) | (~((~v123(constB26, 2)) <=> v121(constB25, 2)))),
% 13.84/9.03 inference(tautology,[status(thm)],[])).
% 13.84/9.03 tff(1439,plain,
% 13.84/9.03 (~((~v123(constB26, 2)) <=> v121(constB25, 2))),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1438, 1437])).
% 13.84/9.03 tff(1440,plain,
% 13.84/9.03 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB25) <=> v26(constB25))),
% 13.84/9.03 inference(quant_inst,[status(thm)],[])).
% 13.84/9.03 tff(1441,plain,
% 13.84/9.03 (v105(constB25) <=> v26(constB25)),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1440, 861])).
% 13.84/9.03 tff(1442,plain,
% 13.84/9.03 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB25))),
% 13.84/9.03 inference(quant_inst,[status(thm)],[])).
% 13.84/9.03 tff(1443,plain,
% 13.84/9.03 (~v26(constB25)),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1442, 873])).
% 13.84/9.03 tff(1444,plain,
% 13.84/9.03 ((~(v105(constB25) <=> v26(constB25))) | (~v105(constB25)) | v26(constB25)),
% 13.84/9.03 inference(tautology,[status(thm)],[])).
% 13.84/9.03 tff(1445,plain,
% 13.84/9.03 ((~(v105(constB25) <=> v26(constB25))) | (~v105(constB25))),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1444, 1443])).
% 13.84/9.03 tff(1446,plain,
% 13.84/9.03 (~v105(constB25)),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1445, 1441])).
% 13.84/9.03 tff(1447,plain,
% 13.84/9.03 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB25) | (~(((~v121(constB25, 2)) <=> v124(constB25, 2)) | ((~v121(constB25, 0)) <=> v124(constB25, 0)) | ((~v121(constB25, 1)) <=> v124(constB25, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB25) | (~(((~v121(constB25, 2)) <=> v124(constB25, 2)) | ((~v121(constB25, 0)) <=> v124(constB25, 0)) | ((~v121(constB25, 1)) <=> v124(constB25, 1)))))),
% 13.84/9.03 inference(rewrite,[status(thm)],[])).
% 13.84/9.03 tff(1448,plain,
% 13.84/9.03 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB25) | (~(((~v121(constB25, 2)) <=> v124(constB25, 2)) | ((~v121(constB25, 0)) <=> v124(constB25, 0)) | ((~v121(constB25, 1)) <=> v124(constB25, 1)))))),
% 13.84/9.03 inference(quant_inst,[status(thm)],[])).
% 13.84/9.03 tff(1449,plain,
% 13.84/9.03 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB25) | (~(((~v121(constB25, 2)) <=> v124(constB25, 2)) | ((~v121(constB25, 0)) <=> v124(constB25, 0)) | ((~v121(constB25, 1)) <=> v124(constB25, 1))))),
% 13.84/9.03 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 13.84/9.03 tff(1450,plain,
% 13.84/9.03 (v105(constB25) | (~(((~v121(constB25, 2)) <=> v124(constB25, 2)) | ((~v121(constB25, 0)) <=> v124(constB25, 0)) | ((~v121(constB25, 1)) <=> v124(constB25, 1))))),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1449, 891])).
% 13.84/9.03 tff(1451,plain,
% 13.84/9.03 (~(((~v121(constB25, 2)) <=> v124(constB25, 2)) | ((~v121(constB25, 0)) <=> v124(constB25, 0)) | ((~v121(constB25, 1)) <=> v124(constB25, 1)))),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1450, 1446])).
% 13.84/9.03 tff(1452,plain,
% 13.84/9.03 ((((~v121(constB25, 2)) <=> v124(constB25, 2)) | ((~v121(constB25, 0)) <=> v124(constB25, 0)) | ((~v121(constB25, 1)) <=> v124(constB25, 1))) | (~((~v121(constB25, 2)) <=> v124(constB25, 2)))),
% 13.84/9.03 inference(tautology,[status(thm)],[])).
% 13.84/9.03 tff(1453,plain,
% 13.84/9.03 (~((~v121(constB25, 2)) <=> v124(constB25, 2))),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1452, 1451])).
% 13.84/9.03 tff(1454,plain,
% 13.84/9.03 (^[VarCurr: state_type] : refl((v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2)))) <=> (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2)))))),
% 13.84/9.03 inference(bind,[status(th)],[])).
% 13.84/9.03 tff(1455,plain,
% 13.84/9.03 (![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2)))) <=> ![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))),
% 13.84/9.03 inference(quant_intro,[status(thm)],[1454])).
% 13.84/9.03 tff(1456,plain,
% 13.84/9.03 (^[VarCurr: state_type] : rewrite((v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))) <=> (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2)))))),
% 13.84/9.03 inference(bind,[status(th)],[])).
% 13.84/9.03 tff(1457,plain,
% 13.84/9.03 (![VarCurr: state_type] : (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))),
% 13.84/9.03 inference(quant_intro,[status(thm)],[1456])).
% 13.84/9.03 tff(1458,plain,
% 13.84/9.03 (![VarCurr: state_type] : (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 13.84/9.03 inference(rewrite,[status(thm)],[])).
% 13.84/9.03 tff(1459,plain,
% 13.84/9.03 (^[VarCurr: state_type] : rewrite((v113(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $false))) <=> (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))))),
% 13.84/9.03 inference(bind,[status(th)],[])).
% 13.84/9.03 tff(1460,plain,
% 13.84/9.03 (![VarCurr: state_type] : (v113(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 13.84/9.03 inference(quant_intro,[status(thm)],[1459])).
% 13.84/9.03 tff(1461,axiom,(![VarCurr: state_type] : (v113(VarCurr) <=> (((v84(VarCurr, 2) <=> $false) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2')).
% 13.84/9.03 tff(1462,plain,
% 13.84/9.03 (![VarCurr: state_type] : (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 13.84/9.03 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 13.84/9.03 tff(1463,plain,
% 13.84/9.03 (![VarCurr: state_type] : (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 13.84/9.03 inference(modus_ponens,[status(thm)],[1462, 1458])).
% 13.84/9.03 tff(1464,plain,(
% 13.84/9.03 ![VarCurr: state_type] : (v113(VarCurr) <=> ((~v84(VarCurr, 2)) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 13.84/9.03 inference(skolemize,[status(sab)],[1463])).
% 13.84/9.03 tff(1465,plain,
% 13.84/9.03 (![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))),
% 13.84/9.03 inference(modus_ponens,[status(thm)],[1464, 1457])).
% 13.84/9.03 tff(1466,plain,
% 13.84/9.03 (![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))),
% 13.84/9.03 inference(modus_ponens,[status(thm)],[1465, 1455])).
% 13.84/9.03 tff(1467,plain,
% 13.84/9.03 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))))),
% 13.84/9.03 inference(quant_inst,[status(thm)],[])).
% 13.84/9.03 tff(1468,plain,
% 13.84/9.03 (v113(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2)))),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1467, 1466])).
% 13.84/9.03 tff(1469,plain,
% 13.84/9.03 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 13.84/9.03 inference(rewrite,[status(thm)],[])).
% 13.84/9.03 tff(1470,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_24')).
% 13.84/9.03 tff(1471,plain,
% 13.84/9.03 (nextState(constB24, constB25)),
% 13.84/9.03 inference(modus_ponens,[status(thm)],[1470, 1469])).
% 13.84/9.03 tff(1472,plain,
% 13.84/9.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB24, constB25)) | (v94(constB25) <=> (~((~v95(constB25)) | (~v104(constB25))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB24, constB25)) | (v94(constB25) <=> (~((~v95(constB25)) | (~v104(constB25))))))),
% 13.84/9.03 inference(rewrite,[status(thm)],[])).
% 13.84/9.03 tff(1473,plain,
% 13.84/9.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB24, constB25)) | (v94(constB25) <=> (~((~v95(constB25)) | (~v104(constB25))))))),
% 13.84/9.03 inference(quant_inst,[status(thm)],[])).
% 13.84/9.03 tff(1474,plain,
% 13.84/9.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB24, constB25)) | (v94(constB25) <=> (~((~v95(constB25)) | (~v104(constB25)))))),
% 13.84/9.03 inference(modus_ponens,[status(thm)],[1473, 1472])).
% 13.84/9.03 tff(1475,plain,
% 13.84/9.03 (v94(constB25) <=> (~((~v95(constB25)) | (~v104(constB25))))),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1474, 1471, 770])).
% 13.84/9.03 tff(1476,plain,
% 13.84/9.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25))))))),
% 13.84/9.03 inference(rewrite,[status(thm)],[])).
% 13.84/9.03 tff(1477,plain,
% 13.84/9.03 (((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v96(constB25)) | (~v1(constB25)))))) <=> ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25))))))),
% 13.84/9.03 inference(rewrite,[status(thm)],[])).
% 13.84/9.03 tff(1478,plain,
% 13.84/9.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v96(constB25)) | (~v1(constB25))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25)))))))),
% 13.84/9.03 inference(monotonicity,[status(thm)],[1477])).
% 13.84/9.03 tff(1479,plain,
% 13.84/9.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v96(constB25)) | (~v1(constB25))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25))))))),
% 13.84/9.03 inference(transitivity,[status(thm)],[1478, 1476])).
% 13.84/9.03 tff(1480,plain,
% 13.84/9.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v96(constB25)) | (~v1(constB25))))))),
% 13.84/9.03 inference(quant_inst,[status(thm)],[])).
% 13.84/9.03 tff(1481,plain,
% 13.84/9.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25)))))),
% 13.84/9.03 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 13.84/9.03 tff(1482,plain,
% 13.84/9.03 (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25))))),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1481, 1471, 790])).
% 13.84/9.03 tff(1483,plain,
% 13.84/9.03 ((~v1(constB25)) <=> (~v1(constB25))),
% 13.84/9.03 inference(rewrite,[status(thm)],[])).
% 13.84/9.03 tff(1484,axiom,(~v1(constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_25')).
% 13.84/9.03 tff(1485,plain,
% 13.84/9.03 (~v1(constB25)),
% 13.84/9.03 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 13.84/9.03 tff(1486,plain,
% 13.84/9.03 (((~v1(constB25)) | (~v96(constB25))) | v1(constB25)),
% 13.84/9.03 inference(tautology,[status(thm)],[])).
% 13.84/9.03 tff(1487,plain,
% 13.84/9.03 ((~v1(constB25)) | (~v96(constB25))),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1486, 1485])).
% 13.84/9.03 tff(1488,plain,
% 13.84/9.03 ((~(v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25)))))) | (~v95(constB25)) | (~((~v1(constB25)) | (~v96(constB25))))),
% 13.84/9.03 inference(tautology,[status(thm)],[])).
% 13.84/9.03 tff(1489,plain,
% 13.84/9.03 ((~(v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25)))))) | (~v95(constB25))),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1488, 1487])).
% 13.84/9.03 tff(1490,plain,
% 13.84/9.03 (~v95(constB25)),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1489, 1482])).
% 13.84/9.03 tff(1491,plain,
% 13.84/9.03 (((~v95(constB25)) | (~v104(constB25))) | v95(constB25)),
% 13.84/9.03 inference(tautology,[status(thm)],[])).
% 13.84/9.03 tff(1492,plain,
% 13.84/9.03 ((~v95(constB25)) | (~v104(constB25))),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1491, 1490])).
% 13.84/9.03 tff(1493,plain,
% 13.84/9.03 ((~(v94(constB25) <=> (~((~v95(constB25)) | (~v104(constB25)))))) | (~v94(constB25)) | (~((~v95(constB25)) | (~v104(constB25))))),
% 13.84/9.03 inference(tautology,[status(thm)],[])).
% 13.84/9.03 tff(1494,plain,
% 13.84/9.03 (~v94(constB25)),
% 13.84/9.03 inference(unit_resolution,[status(thm)],[1493, 1492, 1475])).
% 13.84/9.03 tff(1495,plain,
% 13.84/9.03 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB25) | (~nextState(constB24, constB25)) | (~(((~v84(constB25, 1)) <=> v84(constB24, 1)) | ((~v84(constB25, 2)) <=> v84(constB24, 2)) | ((~v84(constB25, 0)) <=> v84(constB24, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB25) | (~nextState(constB24, constB25)) | (~(((~v84(constB25, 1)) <=> v84(constB24, 1)) | ((~v84(constB25, 2)) <=> v84(constB24, 2)) | ((~v84(constB25, 0)) <=> v84(constB24, 0)))))),
% 13.84/9.03 inference(rewrite,[status(thm)],[])).
% 13.84/9.03 tff(1496,plain,
% 13.84/9.03 ((v94(constB25) | (~nextState(constB24, constB25)) | (~(((~v84(constB25, 2)) <=> v84(constB24, 2)) | ((~v84(constB25, 1)) <=> v84(constB24, 1)) | ((~v84(constB25, 0)) <=> v84(constB24, 0))))) <=> (v94(constB25) | (~nextState(constB24, constB25)) | (~(((~v84(constB25, 1)) <=> v84(constB24, 1)) | ((~v84(constB25, 2)) <=> v84(constB24, 2)) | ((~v84(constB25, 0)) <=> v84(constB24, 0)))))),
% 13.84/9.03 inference(rewrite,[status(thm)],[])).
% 13.84/9.03 tff(1497,plain,
% 13.84/9.03 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB25) | (~nextState(constB24, constB25)) | (~(((~v84(constB25, 2)) <=> v84(constB24, 2)) | ((~v84(constB25, 1)) <=> v84(constB24, 1)) | ((~v84(constB25, 0)) <=> v84(constB24, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB25) | (~nextState(constB24, constB25)) | (~(((~v84(constB25, 1)) <=> v84(constB24, 1)) | ((~v84(constB25, 2)) <=> v84(constB24, 2)) | ((~v84(constB25, 0)) <=> v84(constB24, 0))))))),
% 13.84/9.03 inference(monotonicity,[status(thm)],[1496])).
% 13.84/9.03 tff(1498,plain,
% 13.84/9.03 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB25) | (~nextState(constB24, constB25)) | (~(((~v84(constB25, 2)) <=> v84(constB24, 2)) | ((~v84(constB25, 1)) <=> v84(constB24, 1)) | ((~v84(constB25, 0)) <=> v84(constB24, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB25) | (~nextState(constB24, constB25)) | (~(((~v84(constB25, 1)) <=> v84(constB24, 1)) | ((~v84(constB25, 2)) <=> v84(constB24, 2)) | ((~v84(constB25, 0)) <=> v84(constB24, 0)))))),
% 13.84/9.03 inference(transitivity,[status(thm)],[1497, 1495])).
% 13.84/9.03 tff(1499,plain,
% 13.84/9.03 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB25) | (~nextState(constB24, constB25)) | (~(((~v84(constB25, 2)) <=> v84(constB24, 2)) | ((~v84(constB25, 1)) <=> v84(constB24, 1)) | ((~v84(constB25, 0)) <=> v84(constB24, 0)))))),
% 13.84/9.03 inference(quant_inst,[status(thm)],[])).
% 13.84/9.03 tff(1500,plain,
% 13.84/9.03 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB25) | (~nextState(constB24, constB25)) | (~(((~v84(constB25, 1)) <=> v84(constB24, 1)) | ((~v84(constB25, 2)) <=> v84(constB24, 2)) | ((~v84(constB25, 0)) <=> v84(constB24, 0))))),
% 13.84/9.04 inference(modus_ponens,[status(thm)],[1499, 1498])).
% 13.84/9.04 tff(1501,plain,
% 13.84/9.04 (v94(constB25) | (~(((~v84(constB25, 1)) <=> v84(constB24, 1)) | ((~v84(constB25, 2)) <=> v84(constB24, 2)) | ((~v84(constB25, 0)) <=> v84(constB24, 0))))),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1500, 1471, 819])).
% 13.84/9.04 tff(1502,plain,
% 13.84/9.04 (~(((~v84(constB25, 1)) <=> v84(constB24, 1)) | ((~v84(constB25, 2)) <=> v84(constB24, 2)) | ((~v84(constB25, 0)) <=> v84(constB24, 0)))),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1501, 1494])).
% 13.84/9.04 tff(1503,plain,
% 13.84/9.04 ((((~v84(constB25, 1)) <=> v84(constB24, 1)) | ((~v84(constB25, 2)) <=> v84(constB24, 2)) | ((~v84(constB25, 0)) <=> v84(constB24, 0))) | (~((~v84(constB25, 2)) <=> v84(constB24, 2)))),
% 13.84/9.04 inference(tautology,[status(thm)],[])).
% 13.84/9.04 tff(1504,plain,
% 13.84/9.04 (~((~v84(constB25, 2)) <=> v84(constB24, 2))),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1503, 1502])).
% 13.84/9.04 tff(1505,plain,
% 13.84/9.04 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 13.84/9.04 inference(rewrite,[status(thm)],[])).
% 13.84/9.04 tff(1506,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_23')).
% 13.84/9.04 tff(1507,plain,
% 13.84/9.04 (nextState(constB23, constB24)),
% 13.84/9.04 inference(modus_ponens,[status(thm)],[1506, 1505])).
% 13.84/9.04 tff(1508,plain,
% 13.84/9.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB23, constB24)) | (~(((~v123(constB24, 2)) <=> v121(constB23, 2)) | ((~v123(constB24, 1)) <=> v121(constB23, 1)) | ((~v123(constB24, 0)) <=> v121(constB23, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB23, constB24)) | (~(((~v123(constB24, 2)) <=> v121(constB23, 2)) | ((~v123(constB24, 1)) <=> v121(constB23, 1)) | ((~v123(constB24, 0)) <=> v121(constB23, 0)))))),
% 13.84/9.04 inference(rewrite,[status(thm)],[])).
% 13.84/9.04 tff(1509,plain,
% 13.84/9.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB23, constB24)) | (~(((~v123(constB24, 2)) <=> v121(constB23, 2)) | ((~v123(constB24, 1)) <=> v121(constB23, 1)) | ((~v123(constB24, 0)) <=> v121(constB23, 0)))))),
% 13.84/9.04 inference(quant_inst,[status(thm)],[])).
% 13.84/9.04 tff(1510,plain,
% 13.84/9.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB23, constB24)) | (~(((~v123(constB24, 2)) <=> v121(constB23, 2)) | ((~v123(constB24, 1)) <=> v121(constB23, 1)) | ((~v123(constB24, 0)) <=> v121(constB23, 0))))),
% 13.84/9.04 inference(modus_ponens,[status(thm)],[1509, 1508])).
% 13.84/9.04 tff(1511,plain,
% 13.84/9.04 (~(((~v123(constB24, 2)) <=> v121(constB23, 2)) | ((~v123(constB24, 1)) <=> v121(constB23, 1)) | ((~v123(constB24, 0)) <=> v121(constB23, 0)))),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1510, 1507, 842])).
% 13.84/9.04 tff(1512,plain,
% 13.84/9.04 ((((~v123(constB24, 2)) <=> v121(constB23, 2)) | ((~v123(constB24, 1)) <=> v121(constB23, 1)) | ((~v123(constB24, 0)) <=> v121(constB23, 0))) | (~((~v123(constB24, 2)) <=> v121(constB23, 2)))),
% 13.84/9.04 inference(tautology,[status(thm)],[])).
% 13.84/9.04 tff(1513,plain,
% 13.84/9.04 (~((~v123(constB24, 2)) <=> v121(constB23, 2))),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1512, 1511])).
% 13.84/9.04 tff(1514,plain,
% 13.84/9.04 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB23) <=> v26(constB23))),
% 13.84/9.04 inference(quant_inst,[status(thm)],[])).
% 13.84/9.04 tff(1515,plain,
% 13.84/9.04 (v105(constB23) <=> v26(constB23)),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1514, 861])).
% 13.84/9.04 tff(1516,plain,
% 13.84/9.04 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB23))),
% 13.84/9.04 inference(quant_inst,[status(thm)],[])).
% 13.84/9.04 tff(1517,plain,
% 13.84/9.04 (~v26(constB23)),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1516, 873])).
% 13.84/9.04 tff(1518,plain,
% 13.84/9.04 ((~(v105(constB23) <=> v26(constB23))) | (~v105(constB23)) | v26(constB23)),
% 13.84/9.04 inference(tautology,[status(thm)],[])).
% 13.84/9.04 tff(1519,plain,
% 13.84/9.04 ((~(v105(constB23) <=> v26(constB23))) | (~v105(constB23))),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1518, 1517])).
% 13.84/9.04 tff(1520,plain,
% 13.84/9.04 (~v105(constB23)),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1519, 1515])).
% 13.84/9.04 tff(1521,plain,
% 13.84/9.04 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB23) | (~(((~v121(constB23, 2)) <=> v124(constB23, 2)) | ((~v121(constB23, 0)) <=> v124(constB23, 0)) | ((~v121(constB23, 1)) <=> v124(constB23, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB23) | (~(((~v121(constB23, 2)) <=> v124(constB23, 2)) | ((~v121(constB23, 0)) <=> v124(constB23, 0)) | ((~v121(constB23, 1)) <=> v124(constB23, 1)))))),
% 13.84/9.04 inference(rewrite,[status(thm)],[])).
% 13.84/9.04 tff(1522,plain,
% 13.84/9.04 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB23) | (~(((~v121(constB23, 2)) <=> v124(constB23, 2)) | ((~v121(constB23, 0)) <=> v124(constB23, 0)) | ((~v121(constB23, 1)) <=> v124(constB23, 1)))))),
% 13.84/9.04 inference(quant_inst,[status(thm)],[])).
% 13.84/9.04 tff(1523,plain,
% 13.84/9.04 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB23) | (~(((~v121(constB23, 2)) <=> v124(constB23, 2)) | ((~v121(constB23, 0)) <=> v124(constB23, 0)) | ((~v121(constB23, 1)) <=> v124(constB23, 1))))),
% 13.84/9.04 inference(modus_ponens,[status(thm)],[1522, 1521])).
% 13.84/9.04 tff(1524,plain,
% 13.84/9.04 (v105(constB23) | (~(((~v121(constB23, 2)) <=> v124(constB23, 2)) | ((~v121(constB23, 0)) <=> v124(constB23, 0)) | ((~v121(constB23, 1)) <=> v124(constB23, 1))))),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1523, 891])).
% 13.84/9.04 tff(1525,plain,
% 13.84/9.04 (~(((~v121(constB23, 2)) <=> v124(constB23, 2)) | ((~v121(constB23, 0)) <=> v124(constB23, 0)) | ((~v121(constB23, 1)) <=> v124(constB23, 1)))),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1524, 1520])).
% 13.84/9.04 tff(1526,plain,
% 13.84/9.04 ((((~v121(constB23, 2)) <=> v124(constB23, 2)) | ((~v121(constB23, 0)) <=> v124(constB23, 0)) | ((~v121(constB23, 1)) <=> v124(constB23, 1))) | (~((~v121(constB23, 2)) <=> v124(constB23, 2)))),
% 13.84/9.04 inference(tautology,[status(thm)],[])).
% 13.84/9.04 tff(1527,plain,
% 13.84/9.04 (~((~v121(constB23, 2)) <=> v124(constB23, 2))),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1526, 1525])).
% 13.84/9.04 tff(1528,plain,
% 13.84/9.04 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))))))),
% 13.84/9.04 inference(rewrite,[status(thm)],[])).
% 13.84/9.04 tff(1529,plain,
% 13.84/9.04 ((v117(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 1) | (~v84(constB23, 2))))) <=> (v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))))),
% 13.84/9.04 inference(rewrite,[status(thm)],[])).
% 13.84/9.04 tff(1530,plain,
% 13.84/9.04 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 1) | (~v84(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))))))),
% 13.84/9.04 inference(monotonicity,[status(thm)],[1529])).
% 13.84/9.04 tff(1531,plain,
% 13.84/9.04 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 1) | (~v84(constB23, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))))))),
% 13.84/9.04 inference(transitivity,[status(thm)],[1530, 1528])).
% 13.84/9.04 tff(1532,plain,
% 13.84/9.04 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 0) | v84(constB23, 1) | (~v84(constB23, 2)))))),
% 13.84/9.04 inference(quant_inst,[status(thm)],[])).
% 13.84/9.04 tff(1533,plain,
% 13.84/9.04 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))))),
% 13.84/9.04 inference(modus_ponens,[status(thm)],[1532, 1531])).
% 13.84/9.04 tff(1534,plain,
% 13.84/9.04 (v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))))),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1533, 1199])).
% 13.84/9.04 tff(1535,plain,
% 13.84/9.04 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 13.84/9.04 inference(rewrite,[status(thm)],[])).
% 13.84/9.04 tff(1536,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_22')).
% 13.84/9.04 tff(1537,plain,
% 13.84/9.04 (nextState(constB22, constB23)),
% 13.84/9.04 inference(modus_ponens,[status(thm)],[1536, 1535])).
% 13.84/9.04 tff(1538,plain,
% 13.84/9.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB22, constB23)) | (v94(constB23) <=> (~((~v95(constB23)) | (~v104(constB23))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB22, constB23)) | (v94(constB23) <=> (~((~v95(constB23)) | (~v104(constB23))))))),
% 13.84/9.04 inference(rewrite,[status(thm)],[])).
% 13.84/9.04 tff(1539,plain,
% 13.84/9.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB22, constB23)) | (v94(constB23) <=> (~((~v95(constB23)) | (~v104(constB23))))))),
% 13.84/9.04 inference(quant_inst,[status(thm)],[])).
% 13.84/9.04 tff(1540,plain,
% 13.84/9.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB22, constB23)) | (v94(constB23) <=> (~((~v95(constB23)) | (~v104(constB23)))))),
% 13.84/9.04 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 13.84/9.04 tff(1541,plain,
% 13.84/9.04 (v94(constB23) <=> (~((~v95(constB23)) | (~v104(constB23))))),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1540, 1537, 770])).
% 13.84/9.04 tff(1542,plain,
% 13.84/9.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23))))))),
% 13.84/9.04 inference(rewrite,[status(thm)],[])).
% 13.84/9.04 tff(1543,plain,
% 13.84/9.04 (((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v96(constB23)) | (~v1(constB23)))))) <=> ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23))))))),
% 13.84/9.04 inference(rewrite,[status(thm)],[])).
% 13.84/9.04 tff(1544,plain,
% 13.84/9.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v96(constB23)) | (~v1(constB23))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23)))))))),
% 13.84/9.04 inference(monotonicity,[status(thm)],[1543])).
% 13.84/9.04 tff(1545,plain,
% 13.84/9.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v96(constB23)) | (~v1(constB23))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23))))))),
% 13.84/9.04 inference(transitivity,[status(thm)],[1544, 1542])).
% 13.84/9.04 tff(1546,plain,
% 13.84/9.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v96(constB23)) | (~v1(constB23))))))),
% 13.84/9.04 inference(quant_inst,[status(thm)],[])).
% 13.84/9.04 tff(1547,plain,
% 13.84/9.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23)))))),
% 13.84/9.04 inference(modus_ponens,[status(thm)],[1546, 1545])).
% 13.84/9.04 tff(1548,plain,
% 13.84/9.04 (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23))))),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1547, 1537, 790])).
% 13.84/9.04 tff(1549,plain,
% 13.84/9.04 ((~v1(constB23)) <=> (~v1(constB23))),
% 13.84/9.04 inference(rewrite,[status(thm)],[])).
% 13.84/9.04 tff(1550,axiom,(~v1(constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_23')).
% 13.84/9.04 tff(1551,plain,
% 13.84/9.04 (~v1(constB23)),
% 13.84/9.04 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 13.84/9.04 tff(1552,plain,
% 13.84/9.04 (((~v1(constB23)) | (~v96(constB23))) | v1(constB23)),
% 13.84/9.04 inference(tautology,[status(thm)],[])).
% 13.84/9.04 tff(1553,plain,
% 13.84/9.04 ((~v1(constB23)) | (~v96(constB23))),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1552, 1551])).
% 13.84/9.04 tff(1554,plain,
% 13.84/9.04 ((~(v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23)))))) | (~v95(constB23)) | (~((~v1(constB23)) | (~v96(constB23))))),
% 13.84/9.04 inference(tautology,[status(thm)],[])).
% 13.84/9.04 tff(1555,plain,
% 13.84/9.04 ((~(v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23)))))) | (~v95(constB23))),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1554, 1553])).
% 13.84/9.04 tff(1556,plain,
% 13.84/9.04 (~v95(constB23)),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1555, 1548])).
% 13.84/9.04 tff(1557,plain,
% 13.84/9.04 (((~v95(constB23)) | (~v104(constB23))) | v95(constB23)),
% 13.84/9.04 inference(tautology,[status(thm)],[])).
% 13.84/9.04 tff(1558,plain,
% 13.84/9.04 ((~v95(constB23)) | (~v104(constB23))),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1557, 1556])).
% 13.84/9.04 tff(1559,plain,
% 13.84/9.04 ((~(v94(constB23) <=> (~((~v95(constB23)) | (~v104(constB23)))))) | (~v94(constB23)) | (~((~v95(constB23)) | (~v104(constB23))))),
% 13.84/9.04 inference(tautology,[status(thm)],[])).
% 13.84/9.04 tff(1560,plain,
% 13.84/9.04 (~v94(constB23)),
% 13.84/9.04 inference(unit_resolution,[status(thm)],[1559, 1558, 1541])).
% 13.84/9.04 tff(1561,plain,
% 13.84/9.04 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB23) | (~nextState(constB22, constB23)) | (~(((~v84(constB23, 1)) <=> v84(constB22, 1)) | ((~v84(constB23, 2)) <=> v84(constB22, 2)) | ((~v84(constB23, 0)) <=> v84(constB22, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB23) | (~nextState(constB22, constB23)) | (~(((~v84(constB23, 1)) <=> v84(constB22, 1)) | ((~v84(constB23, 2)) <=> v84(constB22, 2)) | ((~v84(constB23, 0)) <=> v84(constB22, 0)))))),
% 13.84/9.04 inference(rewrite,[status(thm)],[])).
% 13.84/9.04 tff(1562,plain,
% 13.84/9.05 ((v94(constB23) | (~nextState(constB22, constB23)) | (~(((~v84(constB23, 2)) <=> v84(constB22, 2)) | ((~v84(constB23, 1)) <=> v84(constB22, 1)) | ((~v84(constB23, 0)) <=> v84(constB22, 0))))) <=> (v94(constB23) | (~nextState(constB22, constB23)) | (~(((~v84(constB23, 1)) <=> v84(constB22, 1)) | ((~v84(constB23, 2)) <=> v84(constB22, 2)) | ((~v84(constB23, 0)) <=> v84(constB22, 0)))))),
% 13.84/9.05 inference(rewrite,[status(thm)],[])).
% 13.84/9.05 tff(1563,plain,
% 13.84/9.05 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB23) | (~nextState(constB22, constB23)) | (~(((~v84(constB23, 2)) <=> v84(constB22, 2)) | ((~v84(constB23, 1)) <=> v84(constB22, 1)) | ((~v84(constB23, 0)) <=> v84(constB22, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB23) | (~nextState(constB22, constB23)) | (~(((~v84(constB23, 1)) <=> v84(constB22, 1)) | ((~v84(constB23, 2)) <=> v84(constB22, 2)) | ((~v84(constB23, 0)) <=> v84(constB22, 0))))))),
% 13.84/9.05 inference(monotonicity,[status(thm)],[1562])).
% 13.84/9.05 tff(1564,plain,
% 13.84/9.05 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB23) | (~nextState(constB22, constB23)) | (~(((~v84(constB23, 2)) <=> v84(constB22, 2)) | ((~v84(constB23, 1)) <=> v84(constB22, 1)) | ((~v84(constB23, 0)) <=> v84(constB22, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB23) | (~nextState(constB22, constB23)) | (~(((~v84(constB23, 1)) <=> v84(constB22, 1)) | ((~v84(constB23, 2)) <=> v84(constB22, 2)) | ((~v84(constB23, 0)) <=> v84(constB22, 0)))))),
% 13.84/9.05 inference(transitivity,[status(thm)],[1563, 1561])).
% 13.84/9.05 tff(1565,plain,
% 13.84/9.05 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB23) | (~nextState(constB22, constB23)) | (~(((~v84(constB23, 2)) <=> v84(constB22, 2)) | ((~v84(constB23, 1)) <=> v84(constB22, 1)) | ((~v84(constB23, 0)) <=> v84(constB22, 0)))))),
% 13.84/9.05 inference(quant_inst,[status(thm)],[])).
% 13.84/9.05 tff(1566,plain,
% 13.84/9.05 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB23) | (~nextState(constB22, constB23)) | (~(((~v84(constB23, 1)) <=> v84(constB22, 1)) | ((~v84(constB23, 2)) <=> v84(constB22, 2)) | ((~v84(constB23, 0)) <=> v84(constB22, 0))))),
% 13.84/9.05 inference(modus_ponens,[status(thm)],[1565, 1564])).
% 13.84/9.05 tff(1567,plain,
% 13.84/9.05 (v94(constB23) | (~(((~v84(constB23, 1)) <=> v84(constB22, 1)) | ((~v84(constB23, 2)) <=> v84(constB22, 2)) | ((~v84(constB23, 0)) <=> v84(constB22, 0))))),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1566, 1537, 819])).
% 13.84/9.05 tff(1568,plain,
% 13.84/9.05 (~(((~v84(constB23, 1)) <=> v84(constB22, 1)) | ((~v84(constB23, 2)) <=> v84(constB22, 2)) | ((~v84(constB23, 0)) <=> v84(constB22, 0)))),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1567, 1560])).
% 13.84/9.05 tff(1569,plain,
% 13.84/9.05 ((((~v84(constB23, 1)) <=> v84(constB22, 1)) | ((~v84(constB23, 2)) <=> v84(constB22, 2)) | ((~v84(constB23, 0)) <=> v84(constB22, 0))) | (~((~v84(constB23, 2)) <=> v84(constB22, 2)))),
% 13.84/9.05 inference(tautology,[status(thm)],[])).
% 13.84/9.05 tff(1570,plain,
% 13.84/9.05 (~((~v84(constB23, 2)) <=> v84(constB22, 2))),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1569, 1568])).
% 13.84/9.05 tff(1571,plain,
% 13.84/9.05 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 13.84/9.05 inference(rewrite,[status(thm)],[])).
% 13.84/9.05 tff(1572,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_21')).
% 13.84/9.05 tff(1573,plain,
% 13.84/9.05 (nextState(constB21, constB22)),
% 13.84/9.05 inference(modus_ponens,[status(thm)],[1572, 1571])).
% 13.84/9.05 tff(1574,plain,
% 13.84/9.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB21, constB22)) | (~(((~v123(constB22, 2)) <=> v121(constB21, 2)) | ((~v123(constB22, 1)) <=> v121(constB21, 1)) | ((~v123(constB22, 0)) <=> v121(constB21, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB21, constB22)) | (~(((~v123(constB22, 2)) <=> v121(constB21, 2)) | ((~v123(constB22, 1)) <=> v121(constB21, 1)) | ((~v123(constB22, 0)) <=> v121(constB21, 0)))))),
% 13.84/9.05 inference(rewrite,[status(thm)],[])).
% 13.84/9.05 tff(1575,plain,
% 13.84/9.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB21, constB22)) | (~(((~v123(constB22, 2)) <=> v121(constB21, 2)) | ((~v123(constB22, 1)) <=> v121(constB21, 1)) | ((~v123(constB22, 0)) <=> v121(constB21, 0)))))),
% 13.84/9.05 inference(quant_inst,[status(thm)],[])).
% 13.84/9.05 tff(1576,plain,
% 13.84/9.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB21, constB22)) | (~(((~v123(constB22, 2)) <=> v121(constB21, 2)) | ((~v123(constB22, 1)) <=> v121(constB21, 1)) | ((~v123(constB22, 0)) <=> v121(constB21, 0))))),
% 13.84/9.05 inference(modus_ponens,[status(thm)],[1575, 1574])).
% 13.84/9.05 tff(1577,plain,
% 13.84/9.05 (~(((~v123(constB22, 2)) <=> v121(constB21, 2)) | ((~v123(constB22, 1)) <=> v121(constB21, 1)) | ((~v123(constB22, 0)) <=> v121(constB21, 0)))),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1576, 1573, 842])).
% 13.84/9.05 tff(1578,plain,
% 13.84/9.05 ((((~v123(constB22, 2)) <=> v121(constB21, 2)) | ((~v123(constB22, 1)) <=> v121(constB21, 1)) | ((~v123(constB22, 0)) <=> v121(constB21, 0))) | (~((~v123(constB22, 2)) <=> v121(constB21, 2)))),
% 13.84/9.05 inference(tautology,[status(thm)],[])).
% 13.84/9.05 tff(1579,plain,
% 13.84/9.05 (~((~v123(constB22, 2)) <=> v121(constB21, 2))),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1578, 1577])).
% 13.84/9.05 tff(1580,plain,
% 13.84/9.05 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB21) <=> v26(constB21))),
% 13.84/9.05 inference(quant_inst,[status(thm)],[])).
% 13.84/9.05 tff(1581,plain,
% 13.84/9.05 (v105(constB21) <=> v26(constB21)),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1580, 861])).
% 13.84/9.05 tff(1582,plain,
% 13.84/9.05 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB21))),
% 13.84/9.05 inference(quant_inst,[status(thm)],[])).
% 13.84/9.05 tff(1583,plain,
% 13.84/9.05 (~v26(constB21)),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1582, 873])).
% 13.84/9.05 tff(1584,plain,
% 13.84/9.05 ((~(v105(constB21) <=> v26(constB21))) | (~v105(constB21)) | v26(constB21)),
% 13.84/9.05 inference(tautology,[status(thm)],[])).
% 13.84/9.05 tff(1585,plain,
% 13.84/9.05 ((~(v105(constB21) <=> v26(constB21))) | (~v105(constB21))),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1584, 1583])).
% 13.84/9.05 tff(1586,plain,
% 13.84/9.05 (~v105(constB21)),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1585, 1581])).
% 13.84/9.05 tff(1587,plain,
% 13.84/9.05 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB21) | (~(((~v121(constB21, 2)) <=> v124(constB21, 2)) | ((~v121(constB21, 0)) <=> v124(constB21, 0)) | ((~v121(constB21, 1)) <=> v124(constB21, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB21) | (~(((~v121(constB21, 2)) <=> v124(constB21, 2)) | ((~v121(constB21, 0)) <=> v124(constB21, 0)) | ((~v121(constB21, 1)) <=> v124(constB21, 1)))))),
% 13.84/9.05 inference(rewrite,[status(thm)],[])).
% 13.84/9.05 tff(1588,plain,
% 13.84/9.05 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB21) | (~(((~v121(constB21, 2)) <=> v124(constB21, 2)) | ((~v121(constB21, 0)) <=> v124(constB21, 0)) | ((~v121(constB21, 1)) <=> v124(constB21, 1)))))),
% 13.84/9.05 inference(quant_inst,[status(thm)],[])).
% 13.84/9.05 tff(1589,plain,
% 13.84/9.05 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB21) | (~(((~v121(constB21, 2)) <=> v124(constB21, 2)) | ((~v121(constB21, 0)) <=> v124(constB21, 0)) | ((~v121(constB21, 1)) <=> v124(constB21, 1))))),
% 13.84/9.05 inference(modus_ponens,[status(thm)],[1588, 1587])).
% 13.84/9.05 tff(1590,plain,
% 13.84/9.05 (v105(constB21) | (~(((~v121(constB21, 2)) <=> v124(constB21, 2)) | ((~v121(constB21, 0)) <=> v124(constB21, 0)) | ((~v121(constB21, 1)) <=> v124(constB21, 1))))),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1589, 891])).
% 13.84/9.05 tff(1591,plain,
% 13.84/9.05 (~(((~v121(constB21, 2)) <=> v124(constB21, 2)) | ((~v121(constB21, 0)) <=> v124(constB21, 0)) | ((~v121(constB21, 1)) <=> v124(constB21, 1)))),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1590, 1586])).
% 13.84/9.05 tff(1592,plain,
% 13.84/9.05 ((((~v121(constB21, 2)) <=> v124(constB21, 2)) | ((~v121(constB21, 0)) <=> v124(constB21, 0)) | ((~v121(constB21, 1)) <=> v124(constB21, 1))) | (~((~v121(constB21, 2)) <=> v124(constB21, 2)))),
% 13.84/9.05 inference(tautology,[status(thm)],[])).
% 13.84/9.05 tff(1593,plain,
% 13.84/9.05 (~((~v121(constB21, 2)) <=> v124(constB21, 2))),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1592, 1591])).
% 13.84/9.05 tff(1594,plain,
% 13.84/9.05 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB21) <=> (~(v84(constB21, 2) | (~v84(constB21, 1)) | (~v84(constB21, 0)))))),
% 13.84/9.05 inference(quant_inst,[status(thm)],[])).
% 13.84/9.05 tff(1595,plain,
% 13.84/9.05 (v116(constB21) <=> (~(v84(constB21, 2) | (~v84(constB21, 1)) | (~v84(constB21, 0))))),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1594, 911])).
% 13.84/9.05 tff(1596,plain,
% 13.84/9.05 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 13.84/9.05 inference(rewrite,[status(thm)],[])).
% 13.84/9.05 tff(1597,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_20')).
% 13.84/9.05 tff(1598,plain,
% 13.84/9.05 (nextState(constB20, constB21)),
% 13.84/9.05 inference(modus_ponens,[status(thm)],[1597, 1596])).
% 13.84/9.05 tff(1599,plain,
% 13.84/9.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB20, constB21)) | (v94(constB21) <=> (~((~v95(constB21)) | (~v104(constB21))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB20, constB21)) | (v94(constB21) <=> (~((~v95(constB21)) | (~v104(constB21))))))),
% 13.84/9.05 inference(rewrite,[status(thm)],[])).
% 13.84/9.05 tff(1600,plain,
% 13.84/9.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB20, constB21)) | (v94(constB21) <=> (~((~v95(constB21)) | (~v104(constB21))))))),
% 13.84/9.05 inference(quant_inst,[status(thm)],[])).
% 13.84/9.05 tff(1601,plain,
% 13.84/9.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB20, constB21)) | (v94(constB21) <=> (~((~v95(constB21)) | (~v104(constB21)))))),
% 13.84/9.05 inference(modus_ponens,[status(thm)],[1600, 1599])).
% 13.84/9.05 tff(1602,plain,
% 13.84/9.05 (v94(constB21) <=> (~((~v95(constB21)) | (~v104(constB21))))),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1601, 1598, 770])).
% 13.84/9.05 tff(1603,plain,
% 13.84/9.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21))))))),
% 13.84/9.05 inference(rewrite,[status(thm)],[])).
% 13.84/9.05 tff(1604,plain,
% 13.84/9.05 (((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v96(constB21)) | (~v1(constB21)))))) <=> ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21))))))),
% 13.84/9.05 inference(rewrite,[status(thm)],[])).
% 13.84/9.05 tff(1605,plain,
% 13.84/9.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v96(constB21)) | (~v1(constB21))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21)))))))),
% 13.84/9.05 inference(monotonicity,[status(thm)],[1604])).
% 13.84/9.05 tff(1606,plain,
% 13.84/9.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v96(constB21)) | (~v1(constB21))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21))))))),
% 13.84/9.05 inference(transitivity,[status(thm)],[1605, 1603])).
% 13.84/9.05 tff(1607,plain,
% 13.84/9.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v96(constB21)) | (~v1(constB21))))))),
% 13.84/9.05 inference(quant_inst,[status(thm)],[])).
% 13.84/9.05 tff(1608,plain,
% 13.84/9.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21)))))),
% 13.84/9.05 inference(modus_ponens,[status(thm)],[1607, 1606])).
% 13.84/9.05 tff(1609,plain,
% 13.84/9.05 (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21))))),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1608, 1598, 790])).
% 13.84/9.05 tff(1610,plain,
% 13.84/9.05 ((~v1(constB21)) <=> (~v1(constB21))),
% 13.84/9.05 inference(rewrite,[status(thm)],[])).
% 13.84/9.05 tff(1611,axiom,(~v1(constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_21')).
% 13.84/9.05 tff(1612,plain,
% 13.84/9.05 (~v1(constB21)),
% 13.84/9.05 inference(modus_ponens,[status(thm)],[1611, 1610])).
% 13.84/9.05 tff(1613,plain,
% 13.84/9.05 (((~v1(constB21)) | (~v96(constB21))) | v1(constB21)),
% 13.84/9.05 inference(tautology,[status(thm)],[])).
% 13.84/9.05 tff(1614,plain,
% 13.84/9.05 ((~v1(constB21)) | (~v96(constB21))),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1613, 1612])).
% 13.84/9.05 tff(1615,plain,
% 13.84/9.05 ((~(v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21)))))) | (~v95(constB21)) | (~((~v1(constB21)) | (~v96(constB21))))),
% 13.84/9.05 inference(tautology,[status(thm)],[])).
% 13.84/9.05 tff(1616,plain,
% 13.84/9.05 ((~(v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21)))))) | (~v95(constB21))),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1615, 1614])).
% 13.84/9.05 tff(1617,plain,
% 13.84/9.05 (~v95(constB21)),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1616, 1609])).
% 13.84/9.05 tff(1618,plain,
% 13.84/9.05 (((~v95(constB21)) | (~v104(constB21))) | v95(constB21)),
% 13.84/9.05 inference(tautology,[status(thm)],[])).
% 13.84/9.05 tff(1619,plain,
% 13.84/9.05 ((~v95(constB21)) | (~v104(constB21))),
% 13.84/9.05 inference(unit_resolution,[status(thm)],[1618, 1617])).
% 13.84/9.06 tff(1620,plain,
% 13.84/9.06 ((~(v94(constB21) <=> (~((~v95(constB21)) | (~v104(constB21)))))) | (~v94(constB21)) | (~((~v95(constB21)) | (~v104(constB21))))),
% 13.84/9.06 inference(tautology,[status(thm)],[])).
% 13.84/9.06 tff(1621,plain,
% 13.84/9.06 (~v94(constB21)),
% 13.84/9.06 inference(unit_resolution,[status(thm)],[1620, 1619, 1602])).
% 13.84/9.06 tff(1622,plain,
% 13.84/9.06 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB21) | (~nextState(constB20, constB21)) | (~(((~v84(constB21, 1)) <=> v84(constB20, 1)) | ((~v84(constB21, 2)) <=> v84(constB20, 2)) | ((~v84(constB21, 0)) <=> v84(constB20, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB21) | (~nextState(constB20, constB21)) | (~(((~v84(constB21, 1)) <=> v84(constB20, 1)) | ((~v84(constB21, 2)) <=> v84(constB20, 2)) | ((~v84(constB21, 0)) <=> v84(constB20, 0)))))),
% 13.84/9.06 inference(rewrite,[status(thm)],[])).
% 13.84/9.06 tff(1623,plain,
% 13.84/9.06 ((v94(constB21) | (~nextState(constB20, constB21)) | (~(((~v84(constB21, 2)) <=> v84(constB20, 2)) | ((~v84(constB21, 1)) <=> v84(constB20, 1)) | ((~v84(constB21, 0)) <=> v84(constB20, 0))))) <=> (v94(constB21) | (~nextState(constB20, constB21)) | (~(((~v84(constB21, 1)) <=> v84(constB20, 1)) | ((~v84(constB21, 2)) <=> v84(constB20, 2)) | ((~v84(constB21, 0)) <=> v84(constB20, 0)))))),
% 13.84/9.06 inference(rewrite,[status(thm)],[])).
% 13.84/9.06 tff(1624,plain,
% 13.84/9.06 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB21) | (~nextState(constB20, constB21)) | (~(((~v84(constB21, 2)) <=> v84(constB20, 2)) | ((~v84(constB21, 1)) <=> v84(constB20, 1)) | ((~v84(constB21, 0)) <=> v84(constB20, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB21) | (~nextState(constB20, constB21)) | (~(((~v84(constB21, 1)) <=> v84(constB20, 1)) | ((~v84(constB21, 2)) <=> v84(constB20, 2)) | ((~v84(constB21, 0)) <=> v84(constB20, 0))))))),
% 13.84/9.06 inference(monotonicity,[status(thm)],[1623])).
% 13.84/9.06 tff(1625,plain,
% 13.84/9.06 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB21) | (~nextState(constB20, constB21)) | (~(((~v84(constB21, 2)) <=> v84(constB20, 2)) | ((~v84(constB21, 1)) <=> v84(constB20, 1)) | ((~v84(constB21, 0)) <=> v84(constB20, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB21) | (~nextState(constB20, constB21)) | (~(((~v84(constB21, 1)) <=> v84(constB20, 1)) | ((~v84(constB21, 2)) <=> v84(constB20, 2)) | ((~v84(constB21, 0)) <=> v84(constB20, 0)))))),
% 13.84/9.06 inference(transitivity,[status(thm)],[1624, 1622])).
% 13.84/9.06 tff(1626,plain,
% 13.84/9.06 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB21) | (~nextState(constB20, constB21)) | (~(((~v84(constB21, 2)) <=> v84(constB20, 2)) | ((~v84(constB21, 1)) <=> v84(constB20, 1)) | ((~v84(constB21, 0)) <=> v84(constB20, 0)))))),
% 13.84/9.06 inference(quant_inst,[status(thm)],[])).
% 13.84/9.06 tff(1627,plain,
% 13.84/9.06 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB21) | (~nextState(constB20, constB21)) | (~(((~v84(constB21, 1)) <=> v84(constB20, 1)) | ((~v84(constB21, 2)) <=> v84(constB20, 2)) | ((~v84(constB21, 0)) <=> v84(constB20, 0))))),
% 13.93/9.06 inference(modus_ponens,[status(thm)],[1626, 1625])).
% 13.93/9.06 tff(1628,plain,
% 13.93/9.06 (v94(constB21) | (~(((~v84(constB21, 1)) <=> v84(constB20, 1)) | ((~v84(constB21, 2)) <=> v84(constB20, 2)) | ((~v84(constB21, 0)) <=> v84(constB20, 0))))),
% 13.93/9.06 inference(unit_resolution,[status(thm)],[1627, 1598, 819])).
% 13.93/9.06 tff(1629,plain,
% 13.93/9.06 (~(((~v84(constB21, 1)) <=> v84(constB20, 1)) | ((~v84(constB21, 2)) <=> v84(constB20, 2)) | ((~v84(constB21, 0)) <=> v84(constB20, 0)))),
% 13.93/9.06 inference(unit_resolution,[status(thm)],[1628, 1621])).
% 13.93/9.06 tff(1630,plain,
% 13.93/9.06 ((((~v84(constB21, 1)) <=> v84(constB20, 1)) | ((~v84(constB21, 2)) <=> v84(constB20, 2)) | ((~v84(constB21, 0)) <=> v84(constB20, 0))) | (~((~v84(constB21, 2)) <=> v84(constB20, 2)))),
% 13.93/9.06 inference(tautology,[status(thm)],[])).
% 13.93/9.06 tff(1631,plain,
% 13.93/9.06 (~((~v84(constB21, 2)) <=> v84(constB20, 2))),
% 13.93/9.06 inference(unit_resolution,[status(thm)],[1630, 1629])).
% 13.93/9.06 tff(1632,plain,
% 13.93/9.06 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 13.93/9.06 inference(rewrite,[status(thm)],[])).
% 13.93/9.06 tff(1633,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_19')).
% 13.93/9.06 tff(1634,plain,
% 13.93/9.06 (nextState(constB19, constB20)),
% 13.93/9.06 inference(modus_ponens,[status(thm)],[1633, 1632])).
% 13.93/9.06 tff(1635,plain,
% 13.93/9.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB19, constB20)) | (~(((~v123(constB20, 2)) <=> v121(constB19, 2)) | ((~v123(constB20, 1)) <=> v121(constB19, 1)) | ((~v123(constB20, 0)) <=> v121(constB19, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB19, constB20)) | (~(((~v123(constB20, 2)) <=> v121(constB19, 2)) | ((~v123(constB20, 1)) <=> v121(constB19, 1)) | ((~v123(constB20, 0)) <=> v121(constB19, 0)))))),
% 13.93/9.06 inference(rewrite,[status(thm)],[])).
% 13.93/9.06 tff(1636,plain,
% 13.93/9.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB19, constB20)) | (~(((~v123(constB20, 2)) <=> v121(constB19, 2)) | ((~v123(constB20, 1)) <=> v121(constB19, 1)) | ((~v123(constB20, 0)) <=> v121(constB19, 0)))))),
% 13.93/9.06 inference(quant_inst,[status(thm)],[])).
% 13.93/9.06 tff(1637,plain,
% 13.93/9.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB19, constB20)) | (~(((~v123(constB20, 2)) <=> v121(constB19, 2)) | ((~v123(constB20, 1)) <=> v121(constB19, 1)) | ((~v123(constB20, 0)) <=> v121(constB19, 0))))),
% 13.93/9.06 inference(modus_ponens,[status(thm)],[1636, 1635])).
% 13.93/9.06 tff(1638,plain,
% 13.93/9.06 (~(((~v123(constB20, 2)) <=> v121(constB19, 2)) | ((~v123(constB20, 1)) <=> v121(constB19, 1)) | ((~v123(constB20, 0)) <=> v121(constB19, 0)))),
% 13.93/9.06 inference(unit_resolution,[status(thm)],[1637, 1634, 842])).
% 13.93/9.06 tff(1639,plain,
% 13.93/9.06 ((((~v123(constB20, 2)) <=> v121(constB19, 2)) | ((~v123(constB20, 1)) <=> v121(constB19, 1)) | ((~v123(constB20, 0)) <=> v121(constB19, 0))) | (~((~v123(constB20, 2)) <=> v121(constB19, 2)))),
% 13.93/9.06 inference(tautology,[status(thm)],[])).
% 13.93/9.06 tff(1640,plain,
% 13.93/9.06 (~((~v123(constB20, 2)) <=> v121(constB19, 2))),
% 13.93/9.06 inference(unit_resolution,[status(thm)],[1639, 1638])).
% 13.93/9.06 tff(1641,plain,
% 13.93/9.06 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB19) <=> v26(constB19))),
% 13.93/9.06 inference(quant_inst,[status(thm)],[])).
% 13.93/9.06 tff(1642,plain,
% 13.93/9.06 (v105(constB19) <=> v26(constB19)),
% 13.93/9.06 inference(unit_resolution,[status(thm)],[1641, 861])).
% 13.93/9.06 tff(1643,plain,
% 13.93/9.06 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB19))),
% 13.93/9.06 inference(quant_inst,[status(thm)],[])).
% 13.93/9.06 tff(1644,plain,
% 13.93/9.06 (~v26(constB19)),
% 13.93/9.06 inference(unit_resolution,[status(thm)],[1643, 873])).
% 13.93/9.06 tff(1645,plain,
% 13.93/9.06 ((~(v105(constB19) <=> v26(constB19))) | (~v105(constB19)) | v26(constB19)),
% 13.93/9.06 inference(tautology,[status(thm)],[])).
% 13.93/9.06 tff(1646,plain,
% 13.93/9.06 ((~(v105(constB19) <=> v26(constB19))) | (~v105(constB19))),
% 13.93/9.06 inference(unit_resolution,[status(thm)],[1645, 1644])).
% 13.93/9.06 tff(1647,plain,
% 13.93/9.06 (~v105(constB19)),
% 13.93/9.06 inference(unit_resolution,[status(thm)],[1646, 1642])).
% 13.93/9.06 tff(1648,plain,
% 13.93/9.06 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB19) | (~(((~v121(constB19, 2)) <=> v124(constB19, 2)) | ((~v121(constB19, 0)) <=> v124(constB19, 0)) | ((~v121(constB19, 1)) <=> v124(constB19, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB19) | (~(((~v121(constB19, 2)) <=> v124(constB19, 2)) | ((~v121(constB19, 0)) <=> v124(constB19, 0)) | ((~v121(constB19, 1)) <=> v124(constB19, 1)))))),
% 13.93/9.06 inference(rewrite,[status(thm)],[])).
% 13.93/9.06 tff(1649,plain,
% 13.93/9.06 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB19) | (~(((~v121(constB19, 2)) <=> v124(constB19, 2)) | ((~v121(constB19, 0)) <=> v124(constB19, 0)) | ((~v121(constB19, 1)) <=> v124(constB19, 1)))))),
% 13.93/9.06 inference(quant_inst,[status(thm)],[])).
% 13.93/9.06 tff(1650,plain,
% 13.93/9.06 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB19) | (~(((~v121(constB19, 2)) <=> v124(constB19, 2)) | ((~v121(constB19, 0)) <=> v124(constB19, 0)) | ((~v121(constB19, 1)) <=> v124(constB19, 1))))),
% 13.93/9.06 inference(modus_ponens,[status(thm)],[1649, 1648])).
% 13.93/9.06 tff(1651,plain,
% 13.93/9.06 (v105(constB19) | (~(((~v121(constB19, 2)) <=> v124(constB19, 2)) | ((~v121(constB19, 0)) <=> v124(constB19, 0)) | ((~v121(constB19, 1)) <=> v124(constB19, 1))))),
% 13.93/9.06 inference(unit_resolution,[status(thm)],[1650, 891])).
% 13.93/9.06 tff(1652,plain,
% 13.93/9.06 (~(((~v121(constB19, 2)) <=> v124(constB19, 2)) | ((~v121(constB19, 0)) <=> v124(constB19, 0)) | ((~v121(constB19, 1)) <=> v124(constB19, 1)))),
% 13.93/9.06 inference(unit_resolution,[status(thm)],[1651, 1647])).
% 13.93/9.06 tff(1653,plain,
% 13.93/9.06 ((((~v121(constB19, 2)) <=> v124(constB19, 2)) | ((~v121(constB19, 0)) <=> v124(constB19, 0)) | ((~v121(constB19, 1)) <=> v124(constB19, 1))) | (~((~v121(constB19, 2)) <=> v124(constB19, 2)))),
% 13.93/9.06 inference(tautology,[status(thm)],[])).
% 13.93/9.06 tff(1654,plain,
% 13.93/9.06 (~((~v121(constB19, 2)) <=> v124(constB19, 2))),
% 13.93/9.06 inference(unit_resolution,[status(thm)],[1653, 1652])).
% 13.93/9.06 tff(1655,plain,
% 13.93/9.06 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))))))),
% 13.93/9.06 inference(rewrite,[status(thm)],[])).
% 13.93/9.06 tff(1656,plain,
% 13.93/9.06 ((v115(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 2) | (~v84(constB19, 1))))) <=> (v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))))),
% 13.93/9.06 inference(rewrite,[status(thm)],[])).
% 13.93/9.06 tff(1657,plain,
% 13.93/9.06 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 2) | (~v84(constB19, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))))))),
% 13.93/9.06 inference(monotonicity,[status(thm)],[1656])).
% 13.93/9.06 tff(1658,plain,
% 13.93/9.06 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 2) | (~v84(constB19, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))))))),
% 13.93/9.06 inference(transitivity,[status(thm)],[1657, 1655])).
% 13.93/9.06 tff(1659,plain,
% 13.93/9.06 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 0) | v84(constB19, 2) | (~v84(constB19, 1)))))),
% 13.93/9.06 inference(quant_inst,[status(thm)],[])).
% 13.93/9.06 tff(1660,plain,
% 13.93/9.06 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))))),
% 13.93/9.06 inference(modus_ponens,[status(thm)],[1659, 1658])).
% 13.93/9.06 tff(1661,plain,
% 13.93/9.06 (v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))))),
% 13.93/9.06 inference(unit_resolution,[status(thm)],[1660, 985])).
% 13.93/9.06 tff(1662,plain,
% 13.93/9.06 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 13.93/9.06 inference(rewrite,[status(thm)],[])).
% 13.93/9.06 tff(1663,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_18')).
% 13.93/9.06 tff(1664,plain,
% 13.93/9.06 (nextState(constB18, constB19)),
% 13.93/9.06 inference(modus_ponens,[status(thm)],[1663, 1662])).
% 13.93/9.06 tff(1665,plain,
% 13.93/9.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB18, constB19)) | (v94(constB19) <=> (~((~v95(constB19)) | (~v104(constB19))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB18, constB19)) | (v94(constB19) <=> (~((~v95(constB19)) | (~v104(constB19))))))),
% 13.93/9.06 inference(rewrite,[status(thm)],[])).
% 13.93/9.06 tff(1666,plain,
% 13.93/9.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB18, constB19)) | (v94(constB19) <=> (~((~v95(constB19)) | (~v104(constB19))))))),
% 13.93/9.06 inference(quant_inst,[status(thm)],[])).
% 13.93/9.06 tff(1667,plain,
% 13.93/9.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB18, constB19)) | (v94(constB19) <=> (~((~v95(constB19)) | (~v104(constB19)))))),
% 13.93/9.06 inference(modus_ponens,[status(thm)],[1666, 1665])).
% 13.93/9.06 tff(1668,plain,
% 13.93/9.06 (v94(constB19) <=> (~((~v95(constB19)) | (~v104(constB19))))),
% 13.93/9.06 inference(unit_resolution,[status(thm)],[1667, 1664, 770])).
% 13.93/9.06 tff(1669,plain,
% 13.93/9.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19))))))),
% 13.93/9.06 inference(rewrite,[status(thm)],[])).
% 13.93/9.06 tff(1670,plain,
% 13.93/9.06 (((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v96(constB19)) | (~v1(constB19)))))) <=> ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19))))))),
% 13.93/9.07 inference(rewrite,[status(thm)],[])).
% 13.93/9.07 tff(1671,plain,
% 13.93/9.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v96(constB19)) | (~v1(constB19))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19)))))))),
% 13.93/9.07 inference(monotonicity,[status(thm)],[1670])).
% 13.93/9.07 tff(1672,plain,
% 13.93/9.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v96(constB19)) | (~v1(constB19))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19))))))),
% 13.93/9.07 inference(transitivity,[status(thm)],[1671, 1669])).
% 13.93/9.07 tff(1673,plain,
% 13.93/9.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v96(constB19)) | (~v1(constB19))))))),
% 13.93/9.07 inference(quant_inst,[status(thm)],[])).
% 13.93/9.07 tff(1674,plain,
% 13.93/9.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19)))))),
% 13.93/9.07 inference(modus_ponens,[status(thm)],[1673, 1672])).
% 13.93/9.07 tff(1675,plain,
% 13.93/9.07 (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19))))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1674, 1664, 790])).
% 13.93/9.07 tff(1676,plain,
% 13.93/9.07 ((~v1(constB19)) <=> (~v1(constB19))),
% 13.93/9.07 inference(rewrite,[status(thm)],[])).
% 13.93/9.07 tff(1677,axiom,(~v1(constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_19')).
% 13.93/9.07 tff(1678,plain,
% 13.93/9.07 (~v1(constB19)),
% 13.93/9.07 inference(modus_ponens,[status(thm)],[1677, 1676])).
% 13.93/9.07 tff(1679,plain,
% 13.93/9.07 (((~v1(constB19)) | (~v96(constB19))) | v1(constB19)),
% 13.93/9.07 inference(tautology,[status(thm)],[])).
% 13.93/9.07 tff(1680,plain,
% 13.93/9.07 ((~v1(constB19)) | (~v96(constB19))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1679, 1678])).
% 13.93/9.07 tff(1681,plain,
% 13.93/9.07 ((~(v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19)))))) | (~v95(constB19)) | (~((~v1(constB19)) | (~v96(constB19))))),
% 13.93/9.07 inference(tautology,[status(thm)],[])).
% 13.93/9.07 tff(1682,plain,
% 13.93/9.07 ((~(v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19)))))) | (~v95(constB19))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1681, 1680])).
% 13.93/9.07 tff(1683,plain,
% 13.93/9.07 (~v95(constB19)),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1682, 1675])).
% 13.93/9.07 tff(1684,plain,
% 13.93/9.07 (((~v95(constB19)) | (~v104(constB19))) | v95(constB19)),
% 13.93/9.07 inference(tautology,[status(thm)],[])).
% 13.93/9.07 tff(1685,plain,
% 13.93/9.07 ((~v95(constB19)) | (~v104(constB19))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1684, 1683])).
% 13.93/9.07 tff(1686,plain,
% 13.93/9.07 ((~(v94(constB19) <=> (~((~v95(constB19)) | (~v104(constB19)))))) | (~v94(constB19)) | (~((~v95(constB19)) | (~v104(constB19))))),
% 13.93/9.07 inference(tautology,[status(thm)],[])).
% 13.93/9.07 tff(1687,plain,
% 13.93/9.07 (~v94(constB19)),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1686, 1685, 1668])).
% 13.93/9.07 tff(1688,plain,
% 13.93/9.07 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB19) | (~nextState(constB18, constB19)) | (~(((~v84(constB19, 1)) <=> v84(constB18, 1)) | ((~v84(constB19, 2)) <=> v84(constB18, 2)) | ((~v84(constB19, 0)) <=> v84(constB18, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB19) | (~nextState(constB18, constB19)) | (~(((~v84(constB19, 1)) <=> v84(constB18, 1)) | ((~v84(constB19, 2)) <=> v84(constB18, 2)) | ((~v84(constB19, 0)) <=> v84(constB18, 0)))))),
% 13.93/9.07 inference(rewrite,[status(thm)],[])).
% 13.93/9.07 tff(1689,plain,
% 13.93/9.07 ((v94(constB19) | (~nextState(constB18, constB19)) | (~(((~v84(constB19, 2)) <=> v84(constB18, 2)) | ((~v84(constB19, 1)) <=> v84(constB18, 1)) | ((~v84(constB19, 0)) <=> v84(constB18, 0))))) <=> (v94(constB19) | (~nextState(constB18, constB19)) | (~(((~v84(constB19, 1)) <=> v84(constB18, 1)) | ((~v84(constB19, 2)) <=> v84(constB18, 2)) | ((~v84(constB19, 0)) <=> v84(constB18, 0)))))),
% 13.93/9.07 inference(rewrite,[status(thm)],[])).
% 13.93/9.07 tff(1690,plain,
% 13.93/9.07 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB19) | (~nextState(constB18, constB19)) | (~(((~v84(constB19, 2)) <=> v84(constB18, 2)) | ((~v84(constB19, 1)) <=> v84(constB18, 1)) | ((~v84(constB19, 0)) <=> v84(constB18, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB19) | (~nextState(constB18, constB19)) | (~(((~v84(constB19, 1)) <=> v84(constB18, 1)) | ((~v84(constB19, 2)) <=> v84(constB18, 2)) | ((~v84(constB19, 0)) <=> v84(constB18, 0))))))),
% 13.93/9.07 inference(monotonicity,[status(thm)],[1689])).
% 13.93/9.07 tff(1691,plain,
% 13.93/9.07 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB19) | (~nextState(constB18, constB19)) | (~(((~v84(constB19, 2)) <=> v84(constB18, 2)) | ((~v84(constB19, 1)) <=> v84(constB18, 1)) | ((~v84(constB19, 0)) <=> v84(constB18, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB19) | (~nextState(constB18, constB19)) | (~(((~v84(constB19, 1)) <=> v84(constB18, 1)) | ((~v84(constB19, 2)) <=> v84(constB18, 2)) | ((~v84(constB19, 0)) <=> v84(constB18, 0)))))),
% 13.93/9.07 inference(transitivity,[status(thm)],[1690, 1688])).
% 13.93/9.07 tff(1692,plain,
% 13.93/9.07 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB19) | (~nextState(constB18, constB19)) | (~(((~v84(constB19, 2)) <=> v84(constB18, 2)) | ((~v84(constB19, 1)) <=> v84(constB18, 1)) | ((~v84(constB19, 0)) <=> v84(constB18, 0)))))),
% 13.93/9.07 inference(quant_inst,[status(thm)],[])).
% 13.93/9.07 tff(1693,plain,
% 13.93/9.07 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB19) | (~nextState(constB18, constB19)) | (~(((~v84(constB19, 1)) <=> v84(constB18, 1)) | ((~v84(constB19, 2)) <=> v84(constB18, 2)) | ((~v84(constB19, 0)) <=> v84(constB18, 0))))),
% 13.93/9.07 inference(modus_ponens,[status(thm)],[1692, 1691])).
% 13.93/9.07 tff(1694,plain,
% 13.93/9.07 (v94(constB19) | (~(((~v84(constB19, 1)) <=> v84(constB18, 1)) | ((~v84(constB19, 2)) <=> v84(constB18, 2)) | ((~v84(constB19, 0)) <=> v84(constB18, 0))))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1693, 1664, 819])).
% 13.93/9.07 tff(1695,plain,
% 13.93/9.07 (~(((~v84(constB19, 1)) <=> v84(constB18, 1)) | ((~v84(constB19, 2)) <=> v84(constB18, 2)) | ((~v84(constB19, 0)) <=> v84(constB18, 0)))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1694, 1687])).
% 13.93/9.07 tff(1696,plain,
% 13.93/9.07 ((((~v84(constB19, 1)) <=> v84(constB18, 1)) | ((~v84(constB19, 2)) <=> v84(constB18, 2)) | ((~v84(constB19, 0)) <=> v84(constB18, 0))) | (~((~v84(constB19, 2)) <=> v84(constB18, 2)))),
% 13.93/9.07 inference(tautology,[status(thm)],[])).
% 13.93/9.07 tff(1697,plain,
% 13.93/9.07 (~((~v84(constB19, 2)) <=> v84(constB18, 2))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1696, 1695])).
% 13.93/9.07 tff(1698,plain,
% 13.93/9.07 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 13.93/9.07 inference(rewrite,[status(thm)],[])).
% 13.93/9.07 tff(1699,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_17')).
% 13.93/9.07 tff(1700,plain,
% 13.93/9.07 (nextState(constB17, constB18)),
% 13.93/9.07 inference(modus_ponens,[status(thm)],[1699, 1698])).
% 13.93/9.07 tff(1701,plain,
% 13.93/9.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB17, constB18)) | (~(((~v123(constB18, 2)) <=> v121(constB17, 2)) | ((~v123(constB18, 1)) <=> v121(constB17, 1)) | ((~v123(constB18, 0)) <=> v121(constB17, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB17, constB18)) | (~(((~v123(constB18, 2)) <=> v121(constB17, 2)) | ((~v123(constB18, 1)) <=> v121(constB17, 1)) | ((~v123(constB18, 0)) <=> v121(constB17, 0)))))),
% 13.93/9.07 inference(rewrite,[status(thm)],[])).
% 13.93/9.07 tff(1702,plain,
% 13.93/9.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB17, constB18)) | (~(((~v123(constB18, 2)) <=> v121(constB17, 2)) | ((~v123(constB18, 1)) <=> v121(constB17, 1)) | ((~v123(constB18, 0)) <=> v121(constB17, 0)))))),
% 13.93/9.07 inference(quant_inst,[status(thm)],[])).
% 13.93/9.07 tff(1703,plain,
% 13.93/9.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB17, constB18)) | (~(((~v123(constB18, 2)) <=> v121(constB17, 2)) | ((~v123(constB18, 1)) <=> v121(constB17, 1)) | ((~v123(constB18, 0)) <=> v121(constB17, 0))))),
% 13.93/9.07 inference(modus_ponens,[status(thm)],[1702, 1701])).
% 13.93/9.07 tff(1704,plain,
% 13.93/9.07 (~(((~v123(constB18, 2)) <=> v121(constB17, 2)) | ((~v123(constB18, 1)) <=> v121(constB17, 1)) | ((~v123(constB18, 0)) <=> v121(constB17, 0)))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1703, 1700, 842])).
% 13.93/9.07 tff(1705,plain,
% 13.93/9.07 ((((~v123(constB18, 2)) <=> v121(constB17, 2)) | ((~v123(constB18, 1)) <=> v121(constB17, 1)) | ((~v123(constB18, 0)) <=> v121(constB17, 0))) | (~((~v123(constB18, 2)) <=> v121(constB17, 2)))),
% 13.93/9.07 inference(tautology,[status(thm)],[])).
% 13.93/9.07 tff(1706,plain,
% 13.93/9.07 (~((~v123(constB18, 2)) <=> v121(constB17, 2))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1705, 1704])).
% 13.93/9.07 tff(1707,plain,
% 13.93/9.07 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB17) <=> v26(constB17))),
% 13.93/9.07 inference(quant_inst,[status(thm)],[])).
% 13.93/9.07 tff(1708,plain,
% 13.93/9.07 (v105(constB17) <=> v26(constB17)),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1707, 861])).
% 13.93/9.07 tff(1709,plain,
% 13.93/9.07 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB17))),
% 13.93/9.07 inference(quant_inst,[status(thm)],[])).
% 13.93/9.07 tff(1710,plain,
% 13.93/9.07 (~v26(constB17)),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1709, 873])).
% 13.93/9.07 tff(1711,plain,
% 13.93/9.07 ((~(v105(constB17) <=> v26(constB17))) | (~v105(constB17)) | v26(constB17)),
% 13.93/9.07 inference(tautology,[status(thm)],[])).
% 13.93/9.07 tff(1712,plain,
% 13.93/9.07 ((~(v105(constB17) <=> v26(constB17))) | (~v105(constB17))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1711, 1710])).
% 13.93/9.07 tff(1713,plain,
% 13.93/9.07 (~v105(constB17)),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1712, 1708])).
% 13.93/9.07 tff(1714,plain,
% 13.93/9.07 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB17) | (~(((~v121(constB17, 2)) <=> v124(constB17, 2)) | ((~v121(constB17, 0)) <=> v124(constB17, 0)) | ((~v121(constB17, 1)) <=> v124(constB17, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB17) | (~(((~v121(constB17, 2)) <=> v124(constB17, 2)) | ((~v121(constB17, 0)) <=> v124(constB17, 0)) | ((~v121(constB17, 1)) <=> v124(constB17, 1)))))),
% 13.93/9.07 inference(rewrite,[status(thm)],[])).
% 13.93/9.07 tff(1715,plain,
% 13.93/9.07 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB17) | (~(((~v121(constB17, 2)) <=> v124(constB17, 2)) | ((~v121(constB17, 0)) <=> v124(constB17, 0)) | ((~v121(constB17, 1)) <=> v124(constB17, 1)))))),
% 13.93/9.07 inference(quant_inst,[status(thm)],[])).
% 13.93/9.07 tff(1716,plain,
% 13.93/9.07 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB17) | (~(((~v121(constB17, 2)) <=> v124(constB17, 2)) | ((~v121(constB17, 0)) <=> v124(constB17, 0)) | ((~v121(constB17, 1)) <=> v124(constB17, 1))))),
% 13.93/9.07 inference(modus_ponens,[status(thm)],[1715, 1714])).
% 13.93/9.07 tff(1717,plain,
% 13.93/9.07 (v105(constB17) | (~(((~v121(constB17, 2)) <=> v124(constB17, 2)) | ((~v121(constB17, 0)) <=> v124(constB17, 0)) | ((~v121(constB17, 1)) <=> v124(constB17, 1))))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1716, 891])).
% 13.93/9.07 tff(1718,plain,
% 13.93/9.07 (~(((~v121(constB17, 2)) <=> v124(constB17, 2)) | ((~v121(constB17, 0)) <=> v124(constB17, 0)) | ((~v121(constB17, 1)) <=> v124(constB17, 1)))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1717, 1713])).
% 13.93/9.07 tff(1719,plain,
% 13.93/9.07 ((((~v121(constB17, 2)) <=> v124(constB17, 2)) | ((~v121(constB17, 0)) <=> v124(constB17, 0)) | ((~v121(constB17, 1)) <=> v124(constB17, 1))) | (~((~v121(constB17, 2)) <=> v124(constB17, 2)))),
% 13.93/9.07 inference(tautology,[status(thm)],[])).
% 13.93/9.07 tff(1720,plain,
% 13.93/9.07 (~((~v121(constB17, 2)) <=> v124(constB17, 2))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1719, 1718])).
% 13.93/9.07 tff(1721,plain,
% 13.93/9.07 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))))),
% 13.93/9.07 inference(quant_inst,[status(thm)],[])).
% 13.93/9.07 tff(1722,plain,
% 13.93/9.07 (v114(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0))))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1721, 1064])).
% 13.93/9.07 tff(1723,plain,
% 13.93/9.07 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 13.93/9.07 inference(rewrite,[status(thm)],[])).
% 13.93/9.07 tff(1724,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_16')).
% 13.93/9.07 tff(1725,plain,
% 13.93/9.07 (nextState(constB16, constB17)),
% 13.93/9.07 inference(modus_ponens,[status(thm)],[1724, 1723])).
% 13.93/9.07 tff(1726,plain,
% 13.93/9.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB16, constB17)) | (v94(constB17) <=> (~((~v95(constB17)) | (~v104(constB17))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB16, constB17)) | (v94(constB17) <=> (~((~v95(constB17)) | (~v104(constB17))))))),
% 13.93/9.07 inference(rewrite,[status(thm)],[])).
% 13.93/9.07 tff(1727,plain,
% 13.93/9.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB16, constB17)) | (v94(constB17) <=> (~((~v95(constB17)) | (~v104(constB17))))))),
% 13.93/9.07 inference(quant_inst,[status(thm)],[])).
% 13.93/9.07 tff(1728,plain,
% 13.93/9.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB16, constB17)) | (v94(constB17) <=> (~((~v95(constB17)) | (~v104(constB17)))))),
% 13.93/9.07 inference(modus_ponens,[status(thm)],[1727, 1726])).
% 13.93/9.07 tff(1729,plain,
% 13.93/9.07 (v94(constB17) <=> (~((~v95(constB17)) | (~v104(constB17))))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1728, 1725, 770])).
% 13.93/9.07 tff(1730,plain,
% 13.93/9.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17))))))),
% 13.93/9.07 inference(rewrite,[status(thm)],[])).
% 13.93/9.07 tff(1731,plain,
% 13.93/9.07 (((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v96(constB17)) | (~v1(constB17)))))) <=> ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17))))))),
% 13.93/9.07 inference(rewrite,[status(thm)],[])).
% 13.93/9.07 tff(1732,plain,
% 13.93/9.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v96(constB17)) | (~v1(constB17))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17)))))))),
% 13.93/9.07 inference(monotonicity,[status(thm)],[1731])).
% 13.93/9.07 tff(1733,plain,
% 13.93/9.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v96(constB17)) | (~v1(constB17))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17))))))),
% 13.93/9.07 inference(transitivity,[status(thm)],[1732, 1730])).
% 13.93/9.07 tff(1734,plain,
% 13.93/9.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v96(constB17)) | (~v1(constB17))))))),
% 13.93/9.07 inference(quant_inst,[status(thm)],[])).
% 13.93/9.07 tff(1735,plain,
% 13.93/9.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17)))))),
% 13.93/9.07 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 13.93/9.07 tff(1736,plain,
% 13.93/9.07 (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17))))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1735, 1725, 790])).
% 13.93/9.07 tff(1737,plain,
% 13.93/9.07 ((~v1(constB17)) <=> (~v1(constB17))),
% 13.93/9.07 inference(rewrite,[status(thm)],[])).
% 13.93/9.07 tff(1738,axiom,(~v1(constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_17')).
% 13.93/9.07 tff(1739,plain,
% 13.93/9.07 (~v1(constB17)),
% 13.93/9.07 inference(modus_ponens,[status(thm)],[1738, 1737])).
% 13.93/9.07 tff(1740,plain,
% 13.93/9.07 (((~v1(constB17)) | (~v96(constB17))) | v1(constB17)),
% 13.93/9.07 inference(tautology,[status(thm)],[])).
% 13.93/9.07 tff(1741,plain,
% 13.93/9.07 ((~v1(constB17)) | (~v96(constB17))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1740, 1739])).
% 13.93/9.07 tff(1742,plain,
% 13.93/9.07 ((~(v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17)))))) | (~v95(constB17)) | (~((~v1(constB17)) | (~v96(constB17))))),
% 13.93/9.07 inference(tautology,[status(thm)],[])).
% 13.93/9.07 tff(1743,plain,
% 13.93/9.07 ((~(v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17)))))) | (~v95(constB17))),
% 13.93/9.07 inference(unit_resolution,[status(thm)],[1742, 1741])).
% 13.93/9.07 tff(1744,plain,
% 13.93/9.08 (~v95(constB17)),
% 13.93/9.08 inference(unit_resolution,[status(thm)],[1743, 1736])).
% 13.93/9.08 tff(1745,plain,
% 13.93/9.08 (((~v95(constB17)) | (~v104(constB17))) | v95(constB17)),
% 13.93/9.08 inference(tautology,[status(thm)],[])).
% 13.93/9.08 tff(1746,plain,
% 13.93/9.08 ((~v95(constB17)) | (~v104(constB17))),
% 13.93/9.08 inference(unit_resolution,[status(thm)],[1745, 1744])).
% 13.93/9.08 tff(1747,plain,
% 13.93/9.08 ((~(v94(constB17) <=> (~((~v95(constB17)) | (~v104(constB17)))))) | (~v94(constB17)) | (~((~v95(constB17)) | (~v104(constB17))))),
% 13.93/9.08 inference(tautology,[status(thm)],[])).
% 13.93/9.08 tff(1748,plain,
% 13.93/9.08 (~v94(constB17)),
% 13.93/9.08 inference(unit_resolution,[status(thm)],[1747, 1746, 1729])).
% 13.93/9.08 tff(1749,plain,
% 13.93/9.08 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB17) | (~nextState(constB16, constB17)) | (~(((~v84(constB17, 1)) <=> v84(constB16, 1)) | ((~v84(constB17, 2)) <=> v84(constB16, 2)) | ((~v84(constB17, 0)) <=> v84(constB16, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB17) | (~nextState(constB16, constB17)) | (~(((~v84(constB17, 1)) <=> v84(constB16, 1)) | ((~v84(constB17, 2)) <=> v84(constB16, 2)) | ((~v84(constB17, 0)) <=> v84(constB16, 0)))))),
% 13.93/9.08 inference(rewrite,[status(thm)],[])).
% 13.93/9.08 tff(1750,plain,
% 13.93/9.08 ((v94(constB17) | (~nextState(constB16, constB17)) | (~(((~v84(constB17, 2)) <=> v84(constB16, 2)) | ((~v84(constB17, 1)) <=> v84(constB16, 1)) | ((~v84(constB17, 0)) <=> v84(constB16, 0))))) <=> (v94(constB17) | (~nextState(constB16, constB17)) | (~(((~v84(constB17, 1)) <=> v84(constB16, 1)) | ((~v84(constB17, 2)) <=> v84(constB16, 2)) | ((~v84(constB17, 0)) <=> v84(constB16, 0)))))),
% 13.93/9.08 inference(rewrite,[status(thm)],[])).
% 13.93/9.08 tff(1751,plain,
% 13.93/9.08 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB17) | (~nextState(constB16, constB17)) | (~(((~v84(constB17, 2)) <=> v84(constB16, 2)) | ((~v84(constB17, 1)) <=> v84(constB16, 1)) | ((~v84(constB17, 0)) <=> v84(constB16, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB17) | (~nextState(constB16, constB17)) | (~(((~v84(constB17, 1)) <=> v84(constB16, 1)) | ((~v84(constB17, 2)) <=> v84(constB16, 2)) | ((~v84(constB17, 0)) <=> v84(constB16, 0))))))),
% 13.93/9.08 inference(monotonicity,[status(thm)],[1750])).
% 13.93/9.08 tff(1752,plain,
% 13.93/9.08 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB17) | (~nextState(constB16, constB17)) | (~(((~v84(constB17, 2)) <=> v84(constB16, 2)) | ((~v84(constB17, 1)) <=> v84(constB16, 1)) | ((~v84(constB17, 0)) <=> v84(constB16, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB17) | (~nextState(constB16, constB17)) | (~(((~v84(constB17, 1)) <=> v84(constB16, 1)) | ((~v84(constB17, 2)) <=> v84(constB16, 2)) | ((~v84(constB17, 0)) <=> v84(constB16, 0)))))),
% 13.93/9.08 inference(transitivity,[status(thm)],[1751, 1749])).
% 13.93/9.08 tff(1753,plain,
% 13.93/9.08 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB17) | (~nextState(constB16, constB17)) | (~(((~v84(constB17, 2)) <=> v84(constB16, 2)) | ((~v84(constB17, 1)) <=> v84(constB16, 1)) | ((~v84(constB17, 0)) <=> v84(constB16, 0)))))),
% 13.93/9.08 inference(quant_inst,[status(thm)],[])).
% 13.93/9.08 tff(1754,plain,
% 13.93/9.08 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB17) | (~nextState(constB16, constB17)) | (~(((~v84(constB17, 1)) <=> v84(constB16, 1)) | ((~v84(constB17, 2)) <=> v84(constB16, 2)) | ((~v84(constB17, 0)) <=> v84(constB16, 0))))),
% 13.93/9.08 inference(modus_ponens,[status(thm)],[1753, 1752])).
% 13.93/9.08 tff(1755,plain,
% 13.93/9.08 (v94(constB17) | (~(((~v84(constB17, 1)) <=> v84(constB16, 1)) | ((~v84(constB17, 2)) <=> v84(constB16, 2)) | ((~v84(constB17, 0)) <=> v84(constB16, 0))))),
% 13.93/9.08 inference(unit_resolution,[status(thm)],[1754, 1725, 819])).
% 13.93/9.08 tff(1756,plain,
% 13.93/9.08 (~(((~v84(constB17, 1)) <=> v84(constB16, 1)) | ((~v84(constB17, 2)) <=> v84(constB16, 2)) | ((~v84(constB17, 0)) <=> v84(constB16, 0)))),
% 13.93/9.08 inference(unit_resolution,[status(thm)],[1755, 1748])).
% 13.93/9.08 tff(1757,plain,
% 13.93/9.08 ((((~v84(constB17, 1)) <=> v84(constB16, 1)) | ((~v84(constB17, 2)) <=> v84(constB16, 2)) | ((~v84(constB17, 0)) <=> v84(constB16, 0))) | (~((~v84(constB17, 2)) <=> v84(constB16, 2)))),
% 13.93/9.08 inference(tautology,[status(thm)],[])).
% 13.93/9.08 tff(1758,plain,
% 13.93/9.08 (~((~v84(constB17, 2)) <=> v84(constB16, 2))),
% 13.93/9.08 inference(unit_resolution,[status(thm)],[1757, 1756])).
% 13.93/9.08 tff(1759,plain,
% 13.93/9.08 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 13.93/9.08 inference(rewrite,[status(thm)],[])).
% 13.93/9.08 tff(1760,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_15')).
% 13.93/9.08 tff(1761,plain,
% 13.93/9.08 (nextState(constB15, constB16)),
% 13.93/9.08 inference(modus_ponens,[status(thm)],[1760, 1759])).
% 13.93/9.08 tff(1762,plain,
% 13.93/9.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB15, constB16)) | (~(((~v123(constB16, 2)) <=> v121(constB15, 2)) | ((~v123(constB16, 1)) <=> v121(constB15, 1)) | ((~v123(constB16, 0)) <=> v121(constB15, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB15, constB16)) | (~(((~v123(constB16, 2)) <=> v121(constB15, 2)) | ((~v123(constB16, 1)) <=> v121(constB15, 1)) | ((~v123(constB16, 0)) <=> v121(constB15, 0)))))),
% 13.95/9.08 inference(rewrite,[status(thm)],[])).
% 13.95/9.08 tff(1763,plain,
% 13.95/9.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB15, constB16)) | (~(((~v123(constB16, 2)) <=> v121(constB15, 2)) | ((~v123(constB16, 1)) <=> v121(constB15, 1)) | ((~v123(constB16, 0)) <=> v121(constB15, 0)))))),
% 13.95/9.08 inference(quant_inst,[status(thm)],[])).
% 13.95/9.08 tff(1764,plain,
% 13.95/9.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB15, constB16)) | (~(((~v123(constB16, 2)) <=> v121(constB15, 2)) | ((~v123(constB16, 1)) <=> v121(constB15, 1)) | ((~v123(constB16, 0)) <=> v121(constB15, 0))))),
% 13.95/9.08 inference(modus_ponens,[status(thm)],[1763, 1762])).
% 13.95/9.08 tff(1765,plain,
% 13.95/9.08 (~(((~v123(constB16, 2)) <=> v121(constB15, 2)) | ((~v123(constB16, 1)) <=> v121(constB15, 1)) | ((~v123(constB16, 0)) <=> v121(constB15, 0)))),
% 13.95/9.08 inference(unit_resolution,[status(thm)],[1764, 1761, 842])).
% 13.95/9.08 tff(1766,plain,
% 13.95/9.08 ((((~v123(constB16, 2)) <=> v121(constB15, 2)) | ((~v123(constB16, 1)) <=> v121(constB15, 1)) | ((~v123(constB16, 0)) <=> v121(constB15, 0))) | (~((~v123(constB16, 2)) <=> v121(constB15, 2)))),
% 13.95/9.08 inference(tautology,[status(thm)],[])).
% 13.95/9.08 tff(1767,plain,
% 13.95/9.08 (~((~v123(constB16, 2)) <=> v121(constB15, 2))),
% 13.95/9.08 inference(unit_resolution,[status(thm)],[1766, 1765])).
% 13.95/9.08 tff(1768,plain,
% 13.95/9.08 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB15) <=> v26(constB15))),
% 13.95/9.08 inference(quant_inst,[status(thm)],[])).
% 13.95/9.08 tff(1769,plain,
% 13.95/9.08 (v105(constB15) <=> v26(constB15)),
% 13.95/9.08 inference(unit_resolution,[status(thm)],[1768, 861])).
% 13.95/9.08 tff(1770,plain,
% 13.95/9.08 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB15))),
% 13.95/9.08 inference(quant_inst,[status(thm)],[])).
% 13.95/9.08 tff(1771,plain,
% 13.95/9.08 (~v26(constB15)),
% 13.95/9.08 inference(unit_resolution,[status(thm)],[1770, 873])).
% 13.95/9.08 tff(1772,plain,
% 13.95/9.08 ((~(v105(constB15) <=> v26(constB15))) | (~v105(constB15)) | v26(constB15)),
% 13.95/9.08 inference(tautology,[status(thm)],[])).
% 13.95/9.08 tff(1773,plain,
% 13.95/9.08 ((~(v105(constB15) <=> v26(constB15))) | (~v105(constB15))),
% 13.95/9.08 inference(unit_resolution,[status(thm)],[1772, 1771])).
% 13.95/9.08 tff(1774,plain,
% 13.95/9.08 (~v105(constB15)),
% 13.95/9.08 inference(unit_resolution,[status(thm)],[1773, 1769])).
% 13.95/9.08 tff(1775,plain,
% 13.95/9.08 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB15) | (~(((~v121(constB15, 2)) <=> v124(constB15, 2)) | ((~v121(constB15, 0)) <=> v124(constB15, 0)) | ((~v121(constB15, 1)) <=> v124(constB15, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB15) | (~(((~v121(constB15, 2)) <=> v124(constB15, 2)) | ((~v121(constB15, 0)) <=> v124(constB15, 0)) | ((~v121(constB15, 1)) <=> v124(constB15, 1)))))),
% 13.95/9.08 inference(rewrite,[status(thm)],[])).
% 13.95/9.08 tff(1776,plain,
% 13.95/9.08 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB15) | (~(((~v121(constB15, 2)) <=> v124(constB15, 2)) | ((~v121(constB15, 0)) <=> v124(constB15, 0)) | ((~v121(constB15, 1)) <=> v124(constB15, 1)))))),
% 13.95/9.08 inference(quant_inst,[status(thm)],[])).
% 13.95/9.08 tff(1777,plain,
% 13.95/9.08 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB15) | (~(((~v121(constB15, 2)) <=> v124(constB15, 2)) | ((~v121(constB15, 0)) <=> v124(constB15, 0)) | ((~v121(constB15, 1)) <=> v124(constB15, 1))))),
% 13.95/9.08 inference(modus_ponens,[status(thm)],[1776, 1775])).
% 13.95/9.08 tff(1778,plain,
% 13.95/9.08 (v105(constB15) | (~(((~v121(constB15, 2)) <=> v124(constB15, 2)) | ((~v121(constB15, 0)) <=> v124(constB15, 0)) | ((~v121(constB15, 1)) <=> v124(constB15, 1))))),
% 13.95/9.08 inference(unit_resolution,[status(thm)],[1777, 891])).
% 13.95/9.08 tff(1779,plain,
% 13.95/9.08 (~(((~v121(constB15, 2)) <=> v124(constB15, 2)) | ((~v121(constB15, 0)) <=> v124(constB15, 0)) | ((~v121(constB15, 1)) <=> v124(constB15, 1)))),
% 13.95/9.08 inference(unit_resolution,[status(thm)],[1778, 1774])).
% 13.95/9.08 tff(1780,plain,
% 13.95/9.08 ((((~v121(constB15, 2)) <=> v124(constB15, 2)) | ((~v121(constB15, 0)) <=> v124(constB15, 0)) | ((~v121(constB15, 1)) <=> v124(constB15, 1))) | (~((~v121(constB15, 2)) <=> v124(constB15, 2)))),
% 13.95/9.08 inference(tautology,[status(thm)],[])).
% 13.95/9.08 tff(1781,plain,
% 13.95/9.08 (~((~v121(constB15, 2)) <=> v124(constB15, 2))),
% 13.95/9.08 inference(unit_resolution,[status(thm)],[1780, 1779])).
% 13.95/9.08 tff(1782,plain,
% 13.95/9.08 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))))),
% 13.95/9.08 inference(quant_inst,[status(thm)],[])).
% 13.95/9.08 tff(1783,plain,
% 13.95/9.08 (v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))))),
% 13.95/9.08 inference(unit_resolution,[status(thm)],[1782, 1064])).
% 13.95/9.08 tff(1784,plain,
% 13.95/9.08 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 13.95/9.08 inference(rewrite,[status(thm)],[])).
% 13.95/9.08 tff(1785,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_14')).
% 13.95/9.08 tff(1786,plain,
% 13.95/9.08 (nextState(constB14, constB15)),
% 13.95/9.08 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 13.95/9.08 tff(1787,plain,
% 13.95/9.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB14, constB15)) | (v94(constB15) <=> (~((~v95(constB15)) | (~v104(constB15))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB14, constB15)) | (v94(constB15) <=> (~((~v95(constB15)) | (~v104(constB15))))))),
% 13.95/9.08 inference(rewrite,[status(thm)],[])).
% 13.95/9.08 tff(1788,plain,
% 13.95/9.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB14, constB15)) | (v94(constB15) <=> (~((~v95(constB15)) | (~v104(constB15))))))),
% 13.95/9.08 inference(quant_inst,[status(thm)],[])).
% 13.95/9.08 tff(1789,plain,
% 13.95/9.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB14, constB15)) | (v94(constB15) <=> (~((~v95(constB15)) | (~v104(constB15)))))),
% 13.95/9.08 inference(modus_ponens,[status(thm)],[1788, 1787])).
% 13.95/9.08 tff(1790,plain,
% 13.95/9.08 (v94(constB15) <=> (~((~v95(constB15)) | (~v104(constB15))))),
% 13.95/9.08 inference(unit_resolution,[status(thm)],[1789, 1786, 770])).
% 13.95/9.08 tff(1791,plain,
% 13.95/9.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15))))))),
% 13.95/9.08 inference(rewrite,[status(thm)],[])).
% 13.95/9.08 tff(1792,plain,
% 13.95/9.08 (((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v96(constB15)) | (~v1(constB15)))))) <=> ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15))))))),
% 13.95/9.08 inference(rewrite,[status(thm)],[])).
% 13.95/9.08 tff(1793,plain,
% 13.95/9.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v96(constB15)) | (~v1(constB15))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15)))))))),
% 13.95/9.08 inference(monotonicity,[status(thm)],[1792])).
% 13.95/9.08 tff(1794,plain,
% 13.95/9.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v96(constB15)) | (~v1(constB15))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15))))))),
% 13.95/9.08 inference(transitivity,[status(thm)],[1793, 1791])).
% 13.95/9.08 tff(1795,plain,
% 13.95/9.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v96(constB15)) | (~v1(constB15))))))),
% 13.95/9.08 inference(quant_inst,[status(thm)],[])).
% 13.95/9.08 tff(1796,plain,
% 13.95/9.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15)))))),
% 13.95/9.09 inference(modus_ponens,[status(thm)],[1795, 1794])).
% 13.95/9.09 tff(1797,plain,
% 13.95/9.09 (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15))))),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1796, 1786, 790])).
% 13.95/9.09 tff(1798,plain,
% 13.95/9.09 ((~v1(constB15)) <=> (~v1(constB15))),
% 13.95/9.09 inference(rewrite,[status(thm)],[])).
% 13.95/9.09 tff(1799,axiom,(~v1(constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_15')).
% 13.95/9.09 tff(1800,plain,
% 13.95/9.09 (~v1(constB15)),
% 13.95/9.09 inference(modus_ponens,[status(thm)],[1799, 1798])).
% 13.95/9.09 tff(1801,plain,
% 13.95/9.09 (((~v1(constB15)) | (~v96(constB15))) | v1(constB15)),
% 13.95/9.09 inference(tautology,[status(thm)],[])).
% 13.95/9.09 tff(1802,plain,
% 13.95/9.09 ((~v1(constB15)) | (~v96(constB15))),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1801, 1800])).
% 13.95/9.09 tff(1803,plain,
% 13.95/9.09 ((~(v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15)))))) | (~v95(constB15)) | (~((~v1(constB15)) | (~v96(constB15))))),
% 13.95/9.09 inference(tautology,[status(thm)],[])).
% 13.95/9.09 tff(1804,plain,
% 13.95/9.09 ((~(v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15)))))) | (~v95(constB15))),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1803, 1802])).
% 13.95/9.09 tff(1805,plain,
% 13.95/9.09 (~v95(constB15)),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1804, 1797])).
% 13.95/9.09 tff(1806,plain,
% 13.95/9.09 (((~v95(constB15)) | (~v104(constB15))) | v95(constB15)),
% 13.95/9.09 inference(tautology,[status(thm)],[])).
% 13.95/9.09 tff(1807,plain,
% 13.95/9.09 ((~v95(constB15)) | (~v104(constB15))),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1806, 1805])).
% 13.95/9.09 tff(1808,plain,
% 13.95/9.09 ((~(v94(constB15) <=> (~((~v95(constB15)) | (~v104(constB15)))))) | (~v94(constB15)) | (~((~v95(constB15)) | (~v104(constB15))))),
% 13.95/9.09 inference(tautology,[status(thm)],[])).
% 13.95/9.09 tff(1809,plain,
% 13.95/9.09 (~v94(constB15)),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1808, 1807, 1790])).
% 13.95/9.09 tff(1810,plain,
% 13.95/9.09 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB15) | (~nextState(constB14, constB15)) | (~(((~v84(constB15, 1)) <=> v84(constB14, 1)) | ((~v84(constB15, 2)) <=> v84(constB14, 2)) | ((~v84(constB15, 0)) <=> v84(constB14, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB15) | (~nextState(constB14, constB15)) | (~(((~v84(constB15, 1)) <=> v84(constB14, 1)) | ((~v84(constB15, 2)) <=> v84(constB14, 2)) | ((~v84(constB15, 0)) <=> v84(constB14, 0)))))),
% 13.95/9.09 inference(rewrite,[status(thm)],[])).
% 13.95/9.09 tff(1811,plain,
% 13.95/9.09 ((v94(constB15) | (~nextState(constB14, constB15)) | (~(((~v84(constB15, 2)) <=> v84(constB14, 2)) | ((~v84(constB15, 1)) <=> v84(constB14, 1)) | ((~v84(constB15, 0)) <=> v84(constB14, 0))))) <=> (v94(constB15) | (~nextState(constB14, constB15)) | (~(((~v84(constB15, 1)) <=> v84(constB14, 1)) | ((~v84(constB15, 2)) <=> v84(constB14, 2)) | ((~v84(constB15, 0)) <=> v84(constB14, 0)))))),
% 13.95/9.09 inference(rewrite,[status(thm)],[])).
% 13.95/9.09 tff(1812,plain,
% 13.95/9.09 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB15) | (~nextState(constB14, constB15)) | (~(((~v84(constB15, 2)) <=> v84(constB14, 2)) | ((~v84(constB15, 1)) <=> v84(constB14, 1)) | ((~v84(constB15, 0)) <=> v84(constB14, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB15) | (~nextState(constB14, constB15)) | (~(((~v84(constB15, 1)) <=> v84(constB14, 1)) | ((~v84(constB15, 2)) <=> v84(constB14, 2)) | ((~v84(constB15, 0)) <=> v84(constB14, 0))))))),
% 13.95/9.09 inference(monotonicity,[status(thm)],[1811])).
% 13.95/9.09 tff(1813,plain,
% 13.95/9.09 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB15) | (~nextState(constB14, constB15)) | (~(((~v84(constB15, 2)) <=> v84(constB14, 2)) | ((~v84(constB15, 1)) <=> v84(constB14, 1)) | ((~v84(constB15, 0)) <=> v84(constB14, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB15) | (~nextState(constB14, constB15)) | (~(((~v84(constB15, 1)) <=> v84(constB14, 1)) | ((~v84(constB15, 2)) <=> v84(constB14, 2)) | ((~v84(constB15, 0)) <=> v84(constB14, 0)))))),
% 13.95/9.09 inference(transitivity,[status(thm)],[1812, 1810])).
% 13.95/9.09 tff(1814,plain,
% 13.95/9.09 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB15) | (~nextState(constB14, constB15)) | (~(((~v84(constB15, 2)) <=> v84(constB14, 2)) | ((~v84(constB15, 1)) <=> v84(constB14, 1)) | ((~v84(constB15, 0)) <=> v84(constB14, 0)))))),
% 13.95/9.09 inference(quant_inst,[status(thm)],[])).
% 13.95/9.09 tff(1815,plain,
% 13.95/9.09 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB15) | (~nextState(constB14, constB15)) | (~(((~v84(constB15, 1)) <=> v84(constB14, 1)) | ((~v84(constB15, 2)) <=> v84(constB14, 2)) | ((~v84(constB15, 0)) <=> v84(constB14, 0))))),
% 13.95/9.09 inference(modus_ponens,[status(thm)],[1814, 1813])).
% 13.95/9.09 tff(1816,plain,
% 13.95/9.09 (v94(constB15) | (~(((~v84(constB15, 1)) <=> v84(constB14, 1)) | ((~v84(constB15, 2)) <=> v84(constB14, 2)) | ((~v84(constB15, 0)) <=> v84(constB14, 0))))),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1815, 1786, 819])).
% 13.95/9.09 tff(1817,plain,
% 13.95/9.09 (~(((~v84(constB15, 1)) <=> v84(constB14, 1)) | ((~v84(constB15, 2)) <=> v84(constB14, 2)) | ((~v84(constB15, 0)) <=> v84(constB14, 0)))),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1816, 1809])).
% 13.95/9.09 tff(1818,plain,
% 13.95/9.09 ((((~v84(constB15, 1)) <=> v84(constB14, 1)) | ((~v84(constB15, 2)) <=> v84(constB14, 2)) | ((~v84(constB15, 0)) <=> v84(constB14, 0))) | (~((~v84(constB15, 0)) <=> v84(constB14, 0)))),
% 13.95/9.09 inference(tautology,[status(thm)],[])).
% 13.95/9.09 tff(1819,plain,
% 13.95/9.09 (~((~v84(constB15, 0)) <=> v84(constB14, 0))),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1818, 1817])).
% 13.95/9.09 tff(1820,plain,
% 13.95/9.09 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 13.95/9.09 inference(rewrite,[status(thm)],[])).
% 13.95/9.09 tff(1821,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_13')).
% 13.95/9.09 tff(1822,plain,
% 13.95/9.09 (nextState(constB13, constB14)),
% 13.95/9.09 inference(modus_ponens,[status(thm)],[1821, 1820])).
% 13.95/9.09 tff(1823,plain,
% 13.95/9.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB13, constB14)) | (~(((~v123(constB14, 2)) <=> v121(constB13, 2)) | ((~v123(constB14, 1)) <=> v121(constB13, 1)) | ((~v123(constB14, 0)) <=> v121(constB13, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB13, constB14)) | (~(((~v123(constB14, 2)) <=> v121(constB13, 2)) | ((~v123(constB14, 1)) <=> v121(constB13, 1)) | ((~v123(constB14, 0)) <=> v121(constB13, 0)))))),
% 13.95/9.09 inference(rewrite,[status(thm)],[])).
% 13.95/9.09 tff(1824,plain,
% 13.95/9.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB13, constB14)) | (~(((~v123(constB14, 2)) <=> v121(constB13, 2)) | ((~v123(constB14, 1)) <=> v121(constB13, 1)) | ((~v123(constB14, 0)) <=> v121(constB13, 0)))))),
% 13.95/9.09 inference(quant_inst,[status(thm)],[])).
% 13.95/9.09 tff(1825,plain,
% 13.95/9.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB13, constB14)) | (~(((~v123(constB14, 2)) <=> v121(constB13, 2)) | ((~v123(constB14, 1)) <=> v121(constB13, 1)) | ((~v123(constB14, 0)) <=> v121(constB13, 0))))),
% 13.95/9.09 inference(modus_ponens,[status(thm)],[1824, 1823])).
% 13.95/9.09 tff(1826,plain,
% 13.95/9.09 (~(((~v123(constB14, 2)) <=> v121(constB13, 2)) | ((~v123(constB14, 1)) <=> v121(constB13, 1)) | ((~v123(constB14, 0)) <=> v121(constB13, 0)))),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1825, 1822, 842])).
% 13.95/9.09 tff(1827,plain,
% 13.95/9.09 ((((~v123(constB14, 2)) <=> v121(constB13, 2)) | ((~v123(constB14, 1)) <=> v121(constB13, 1)) | ((~v123(constB14, 0)) <=> v121(constB13, 0))) | (~((~v123(constB14, 0)) <=> v121(constB13, 0)))),
% 13.95/9.09 inference(tautology,[status(thm)],[])).
% 13.95/9.09 tff(1828,plain,
% 13.95/9.09 (~((~v123(constB14, 0)) <=> v121(constB13, 0))),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1827, 1826])).
% 13.95/9.09 tff(1829,plain,
% 13.95/9.09 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB13) <=> v26(constB13))),
% 13.95/9.09 inference(quant_inst,[status(thm)],[])).
% 13.95/9.09 tff(1830,plain,
% 13.95/9.09 (v105(constB13) <=> v26(constB13)),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1829, 861])).
% 13.95/9.09 tff(1831,plain,
% 13.95/9.09 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB13))),
% 13.95/9.09 inference(quant_inst,[status(thm)],[])).
% 13.95/9.09 tff(1832,plain,
% 13.95/9.09 (~v26(constB13)),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1831, 873])).
% 13.95/9.09 tff(1833,plain,
% 13.95/9.09 ((~(v105(constB13) <=> v26(constB13))) | (~v105(constB13)) | v26(constB13)),
% 13.95/9.09 inference(tautology,[status(thm)],[])).
% 13.95/9.09 tff(1834,plain,
% 13.95/9.09 ((~(v105(constB13) <=> v26(constB13))) | (~v105(constB13))),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1833, 1832])).
% 13.95/9.09 tff(1835,plain,
% 13.95/9.09 (~v105(constB13)),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1834, 1830])).
% 13.95/9.09 tff(1836,plain,
% 13.95/9.09 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB13) | (~(((~v121(constB13, 2)) <=> v124(constB13, 2)) | ((~v121(constB13, 0)) <=> v124(constB13, 0)) | ((~v121(constB13, 1)) <=> v124(constB13, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB13) | (~(((~v121(constB13, 2)) <=> v124(constB13, 2)) | ((~v121(constB13, 0)) <=> v124(constB13, 0)) | ((~v121(constB13, 1)) <=> v124(constB13, 1)))))),
% 13.95/9.09 inference(rewrite,[status(thm)],[])).
% 13.95/9.09 tff(1837,plain,
% 13.95/9.09 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB13) | (~(((~v121(constB13, 2)) <=> v124(constB13, 2)) | ((~v121(constB13, 0)) <=> v124(constB13, 0)) | ((~v121(constB13, 1)) <=> v124(constB13, 1)))))),
% 13.95/9.09 inference(quant_inst,[status(thm)],[])).
% 13.95/9.09 tff(1838,plain,
% 13.95/9.09 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB13) | (~(((~v121(constB13, 2)) <=> v124(constB13, 2)) | ((~v121(constB13, 0)) <=> v124(constB13, 0)) | ((~v121(constB13, 1)) <=> v124(constB13, 1))))),
% 13.95/9.09 inference(modus_ponens,[status(thm)],[1837, 1836])).
% 13.95/9.09 tff(1839,plain,
% 13.95/9.09 (v105(constB13) | (~(((~v121(constB13, 2)) <=> v124(constB13, 2)) | ((~v121(constB13, 0)) <=> v124(constB13, 0)) | ((~v121(constB13, 1)) <=> v124(constB13, 1))))),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1838, 891])).
% 13.95/9.09 tff(1840,plain,
% 13.95/9.09 (~(((~v121(constB13, 2)) <=> v124(constB13, 2)) | ((~v121(constB13, 0)) <=> v124(constB13, 0)) | ((~v121(constB13, 1)) <=> v124(constB13, 1)))),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1839, 1835])).
% 13.95/9.09 tff(1841,plain,
% 13.95/9.09 ((((~v121(constB13, 2)) <=> v124(constB13, 2)) | ((~v121(constB13, 0)) <=> v124(constB13, 0)) | ((~v121(constB13, 1)) <=> v124(constB13, 1))) | (~((~v121(constB13, 0)) <=> v124(constB13, 0)))),
% 13.95/9.09 inference(tautology,[status(thm)],[])).
% 13.95/9.09 tff(1842,plain,
% 13.95/9.09 (~((~v121(constB13, 0)) <=> v124(constB13, 0))),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1841, 1840])).
% 13.95/9.09 tff(1843,plain,
% 13.95/9.09 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 0) | (~v84(constB13, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 0) | (~v84(constB13, 2))))))),
% 13.95/9.09 inference(rewrite,[status(thm)],[])).
% 13.95/9.09 tff(1844,plain,
% 13.95/9.09 ((v117(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | (~v84(constB13, 2))))) <=> (v117(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 0) | (~v84(constB13, 2)))))),
% 13.95/9.09 inference(rewrite,[status(thm)],[])).
% 13.95/9.09 tff(1845,plain,
% 13.95/9.09 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | (~v84(constB13, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 0) | (~v84(constB13, 2))))))),
% 13.95/9.09 inference(monotonicity,[status(thm)],[1844])).
% 13.95/9.09 tff(1846,plain,
% 13.95/9.09 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | (~v84(constB13, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 0) | (~v84(constB13, 2))))))),
% 13.95/9.09 inference(transitivity,[status(thm)],[1845, 1843])).
% 13.95/9.09 tff(1847,plain,
% 13.95/9.09 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~(v84(constB13, 0) | v84(constB13, 1) | (~v84(constB13, 2)))))),
% 13.95/9.09 inference(quant_inst,[status(thm)],[])).
% 13.95/9.09 tff(1848,plain,
% 13.95/9.09 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 0) | (~v84(constB13, 2)))))),
% 13.95/9.09 inference(modus_ponens,[status(thm)],[1847, 1846])).
% 13.95/9.09 tff(1849,plain,
% 13.95/9.09 (v117(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 0) | (~v84(constB13, 2))))),
% 13.95/9.09 inference(unit_resolution,[status(thm)],[1848, 1199])).
% 13.95/9.09 tff(1850,plain,
% 13.95/9.09 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 13.95/9.09 inference(rewrite,[status(thm)],[])).
% 13.95/9.09 tff(1851,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_12')).
% 13.95/9.09 tff(1852,plain,
% 13.95/9.09 (nextState(constB12, constB13)),
% 13.95/9.09 inference(modus_ponens,[status(thm)],[1851, 1850])).
% 13.95/9.09 tff(1853,plain,
% 13.95/9.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB12, constB13)) | (v94(constB13) <=> (~((~v95(constB13)) | (~v104(constB13))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB12, constB13)) | (v94(constB13) <=> (~((~v95(constB13)) | (~v104(constB13))))))),
% 13.95/9.09 inference(rewrite,[status(thm)],[])).
% 13.95/9.09 tff(1854,plain,
% 13.95/9.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB12, constB13)) | (v94(constB13) <=> (~((~v95(constB13)) | (~v104(constB13))))))),
% 13.95/9.10 inference(quant_inst,[status(thm)],[])).
% 13.95/9.10 tff(1855,plain,
% 13.95/9.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB12, constB13)) | (v94(constB13) <=> (~((~v95(constB13)) | (~v104(constB13)))))),
% 13.95/9.10 inference(modus_ponens,[status(thm)],[1854, 1853])).
% 13.95/9.10 tff(1856,plain,
% 13.95/9.10 (v94(constB13) <=> (~((~v95(constB13)) | (~v104(constB13))))),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1855, 1852, 770])).
% 13.95/9.10 tff(1857,plain,
% 13.95/9.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13))))))),
% 13.95/9.10 inference(rewrite,[status(thm)],[])).
% 13.95/9.10 tff(1858,plain,
% 13.95/9.10 (((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v96(constB13)) | (~v1(constB13)))))) <=> ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13))))))),
% 13.95/9.10 inference(rewrite,[status(thm)],[])).
% 13.95/9.10 tff(1859,plain,
% 13.95/9.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v96(constB13)) | (~v1(constB13))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13)))))))),
% 13.95/9.10 inference(monotonicity,[status(thm)],[1858])).
% 13.95/9.10 tff(1860,plain,
% 13.95/9.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v96(constB13)) | (~v1(constB13))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13))))))),
% 13.95/9.10 inference(transitivity,[status(thm)],[1859, 1857])).
% 13.95/9.10 tff(1861,plain,
% 13.95/9.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v96(constB13)) | (~v1(constB13))))))),
% 13.95/9.10 inference(quant_inst,[status(thm)],[])).
% 13.95/9.10 tff(1862,plain,
% 13.95/9.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13)))))),
% 13.95/9.10 inference(modus_ponens,[status(thm)],[1861, 1860])).
% 13.95/9.10 tff(1863,plain,
% 13.95/9.10 (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13))))),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1862, 1852, 790])).
% 13.95/9.10 tff(1864,plain,
% 13.95/9.10 ((~v1(constB13)) <=> (~v1(constB13))),
% 13.95/9.10 inference(rewrite,[status(thm)],[])).
% 13.95/9.10 tff(1865,axiom,(~v1(constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_13')).
% 13.95/9.10 tff(1866,plain,
% 13.95/9.10 (~v1(constB13)),
% 13.95/9.10 inference(modus_ponens,[status(thm)],[1865, 1864])).
% 13.95/9.10 tff(1867,plain,
% 13.95/9.10 (((~v1(constB13)) | (~v96(constB13))) | v1(constB13)),
% 13.95/9.10 inference(tautology,[status(thm)],[])).
% 13.95/9.10 tff(1868,plain,
% 13.95/9.10 ((~v1(constB13)) | (~v96(constB13))),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1867, 1866])).
% 13.95/9.10 tff(1869,plain,
% 13.95/9.10 ((~(v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13)))))) | (~v95(constB13)) | (~((~v1(constB13)) | (~v96(constB13))))),
% 13.95/9.10 inference(tautology,[status(thm)],[])).
% 13.95/9.10 tff(1870,plain,
% 13.95/9.10 ((~(v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13)))))) | (~v95(constB13))),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1869, 1868])).
% 13.95/9.10 tff(1871,plain,
% 13.95/9.10 (~v95(constB13)),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1870, 1863])).
% 13.95/9.10 tff(1872,plain,
% 13.95/9.10 (((~v95(constB13)) | (~v104(constB13))) | v95(constB13)),
% 13.95/9.10 inference(tautology,[status(thm)],[])).
% 13.95/9.10 tff(1873,plain,
% 13.95/9.10 ((~v95(constB13)) | (~v104(constB13))),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1872, 1871])).
% 13.95/9.10 tff(1874,plain,
% 13.95/9.10 ((~(v94(constB13) <=> (~((~v95(constB13)) | (~v104(constB13)))))) | (~v94(constB13)) | (~((~v95(constB13)) | (~v104(constB13))))),
% 13.95/9.10 inference(tautology,[status(thm)],[])).
% 13.95/9.10 tff(1875,plain,
% 13.95/9.10 (~v94(constB13)),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1874, 1873, 1856])).
% 13.95/9.10 tff(1876,plain,
% 13.95/9.10 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB13) | (~nextState(constB12, constB13)) | (~(((~v84(constB13, 1)) <=> v84(constB12, 1)) | ((~v84(constB13, 2)) <=> v84(constB12, 2)) | ((~v84(constB13, 0)) <=> v84(constB12, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB13) | (~nextState(constB12, constB13)) | (~(((~v84(constB13, 1)) <=> v84(constB12, 1)) | ((~v84(constB13, 2)) <=> v84(constB12, 2)) | ((~v84(constB13, 0)) <=> v84(constB12, 0)))))),
% 13.95/9.10 inference(rewrite,[status(thm)],[])).
% 13.95/9.10 tff(1877,plain,
% 13.95/9.10 ((v94(constB13) | (~nextState(constB12, constB13)) | (~(((~v84(constB13, 2)) <=> v84(constB12, 2)) | ((~v84(constB13, 1)) <=> v84(constB12, 1)) | ((~v84(constB13, 0)) <=> v84(constB12, 0))))) <=> (v94(constB13) | (~nextState(constB12, constB13)) | (~(((~v84(constB13, 1)) <=> v84(constB12, 1)) | ((~v84(constB13, 2)) <=> v84(constB12, 2)) | ((~v84(constB13, 0)) <=> v84(constB12, 0)))))),
% 13.95/9.10 inference(rewrite,[status(thm)],[])).
% 13.95/9.10 tff(1878,plain,
% 13.95/9.10 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB13) | (~nextState(constB12, constB13)) | (~(((~v84(constB13, 2)) <=> v84(constB12, 2)) | ((~v84(constB13, 1)) <=> v84(constB12, 1)) | ((~v84(constB13, 0)) <=> v84(constB12, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB13) | (~nextState(constB12, constB13)) | (~(((~v84(constB13, 1)) <=> v84(constB12, 1)) | ((~v84(constB13, 2)) <=> v84(constB12, 2)) | ((~v84(constB13, 0)) <=> v84(constB12, 0))))))),
% 13.95/9.10 inference(monotonicity,[status(thm)],[1877])).
% 13.95/9.10 tff(1879,plain,
% 13.95/9.10 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB13) | (~nextState(constB12, constB13)) | (~(((~v84(constB13, 2)) <=> v84(constB12, 2)) | ((~v84(constB13, 1)) <=> v84(constB12, 1)) | ((~v84(constB13, 0)) <=> v84(constB12, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB13) | (~nextState(constB12, constB13)) | (~(((~v84(constB13, 1)) <=> v84(constB12, 1)) | ((~v84(constB13, 2)) <=> v84(constB12, 2)) | ((~v84(constB13, 0)) <=> v84(constB12, 0)))))),
% 13.95/9.10 inference(transitivity,[status(thm)],[1878, 1876])).
% 13.95/9.10 tff(1880,plain,
% 13.95/9.10 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB13) | (~nextState(constB12, constB13)) | (~(((~v84(constB13, 2)) <=> v84(constB12, 2)) | ((~v84(constB13, 1)) <=> v84(constB12, 1)) | ((~v84(constB13, 0)) <=> v84(constB12, 0)))))),
% 13.95/9.10 inference(quant_inst,[status(thm)],[])).
% 13.95/9.10 tff(1881,plain,
% 13.95/9.10 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB13) | (~nextState(constB12, constB13)) | (~(((~v84(constB13, 1)) <=> v84(constB12, 1)) | ((~v84(constB13, 2)) <=> v84(constB12, 2)) | ((~v84(constB13, 0)) <=> v84(constB12, 0))))),
% 13.95/9.10 inference(modus_ponens,[status(thm)],[1880, 1879])).
% 13.95/9.10 tff(1882,plain,
% 13.95/9.10 (v94(constB13) | (~(((~v84(constB13, 1)) <=> v84(constB12, 1)) | ((~v84(constB13, 2)) <=> v84(constB12, 2)) | ((~v84(constB13, 0)) <=> v84(constB12, 0))))),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1881, 1852, 819])).
% 13.95/9.10 tff(1883,plain,
% 13.95/9.10 (~(((~v84(constB13, 1)) <=> v84(constB12, 1)) | ((~v84(constB13, 2)) <=> v84(constB12, 2)) | ((~v84(constB13, 0)) <=> v84(constB12, 0)))),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1882, 1875])).
% 13.95/9.10 tff(1884,plain,
% 13.95/9.10 ((((~v84(constB13, 1)) <=> v84(constB12, 1)) | ((~v84(constB13, 2)) <=> v84(constB12, 2)) | ((~v84(constB13, 0)) <=> v84(constB12, 0))) | (~((~v84(constB13, 2)) <=> v84(constB12, 2)))),
% 13.95/9.10 inference(tautology,[status(thm)],[])).
% 13.95/9.10 tff(1885,plain,
% 13.95/9.10 (~((~v84(constB13, 2)) <=> v84(constB12, 2))),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1884, 1883])).
% 13.95/9.10 tff(1886,plain,
% 13.95/9.10 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 13.95/9.10 inference(rewrite,[status(thm)],[])).
% 13.95/9.10 tff(1887,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_11')).
% 13.95/9.10 tff(1888,plain,
% 13.95/9.10 (nextState(constB11, constB12)),
% 13.95/9.10 inference(modus_ponens,[status(thm)],[1887, 1886])).
% 13.95/9.10 tff(1889,plain,
% 13.95/9.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB11, constB12)) | (~(((~v123(constB12, 2)) <=> v121(constB11, 2)) | ((~v123(constB12, 1)) <=> v121(constB11, 1)) | ((~v123(constB12, 0)) <=> v121(constB11, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB11, constB12)) | (~(((~v123(constB12, 2)) <=> v121(constB11, 2)) | ((~v123(constB12, 1)) <=> v121(constB11, 1)) | ((~v123(constB12, 0)) <=> v121(constB11, 0)))))),
% 13.95/9.10 inference(rewrite,[status(thm)],[])).
% 13.95/9.10 tff(1890,plain,
% 13.95/9.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB11, constB12)) | (~(((~v123(constB12, 2)) <=> v121(constB11, 2)) | ((~v123(constB12, 1)) <=> v121(constB11, 1)) | ((~v123(constB12, 0)) <=> v121(constB11, 0)))))),
% 13.95/9.10 inference(quant_inst,[status(thm)],[])).
% 13.95/9.10 tff(1891,plain,
% 13.95/9.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB11, constB12)) | (~(((~v123(constB12, 2)) <=> v121(constB11, 2)) | ((~v123(constB12, 1)) <=> v121(constB11, 1)) | ((~v123(constB12, 0)) <=> v121(constB11, 0))))),
% 13.95/9.10 inference(modus_ponens,[status(thm)],[1890, 1889])).
% 13.95/9.10 tff(1892,plain,
% 13.95/9.10 (~(((~v123(constB12, 2)) <=> v121(constB11, 2)) | ((~v123(constB12, 1)) <=> v121(constB11, 1)) | ((~v123(constB12, 0)) <=> v121(constB11, 0)))),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1891, 1888, 842])).
% 13.95/9.10 tff(1893,plain,
% 13.95/9.10 ((((~v123(constB12, 2)) <=> v121(constB11, 2)) | ((~v123(constB12, 1)) <=> v121(constB11, 1)) | ((~v123(constB12, 0)) <=> v121(constB11, 0))) | (~((~v123(constB12, 2)) <=> v121(constB11, 2)))),
% 13.95/9.10 inference(tautology,[status(thm)],[])).
% 13.95/9.10 tff(1894,plain,
% 13.95/9.10 (~((~v123(constB12, 2)) <=> v121(constB11, 2))),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1893, 1892])).
% 13.95/9.10 tff(1895,plain,
% 13.95/9.10 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB11) <=> v26(constB11))),
% 13.95/9.10 inference(quant_inst,[status(thm)],[])).
% 13.95/9.10 tff(1896,plain,
% 13.95/9.10 (v105(constB11) <=> v26(constB11)),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1895, 861])).
% 13.95/9.10 tff(1897,plain,
% 13.95/9.10 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB11))),
% 13.95/9.10 inference(quant_inst,[status(thm)],[])).
% 13.95/9.10 tff(1898,plain,
% 13.95/9.10 (~v26(constB11)),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1897, 873])).
% 13.95/9.10 tff(1899,plain,
% 13.95/9.10 ((~(v105(constB11) <=> v26(constB11))) | (~v105(constB11)) | v26(constB11)),
% 13.95/9.10 inference(tautology,[status(thm)],[])).
% 13.95/9.10 tff(1900,plain,
% 13.95/9.10 ((~(v105(constB11) <=> v26(constB11))) | (~v105(constB11))),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1899, 1898])).
% 13.95/9.10 tff(1901,plain,
% 13.95/9.10 (~v105(constB11)),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1900, 1896])).
% 13.95/9.10 tff(1902,plain,
% 13.95/9.10 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB11) | (~(((~v121(constB11, 2)) <=> v124(constB11, 2)) | ((~v121(constB11, 0)) <=> v124(constB11, 0)) | ((~v121(constB11, 1)) <=> v124(constB11, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB11) | (~(((~v121(constB11, 2)) <=> v124(constB11, 2)) | ((~v121(constB11, 0)) <=> v124(constB11, 0)) | ((~v121(constB11, 1)) <=> v124(constB11, 1)))))),
% 13.95/9.10 inference(rewrite,[status(thm)],[])).
% 13.95/9.10 tff(1903,plain,
% 13.95/9.10 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB11) | (~(((~v121(constB11, 2)) <=> v124(constB11, 2)) | ((~v121(constB11, 0)) <=> v124(constB11, 0)) | ((~v121(constB11, 1)) <=> v124(constB11, 1)))))),
% 13.95/9.10 inference(quant_inst,[status(thm)],[])).
% 13.95/9.10 tff(1904,plain,
% 13.95/9.10 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB11) | (~(((~v121(constB11, 2)) <=> v124(constB11, 2)) | ((~v121(constB11, 0)) <=> v124(constB11, 0)) | ((~v121(constB11, 1)) <=> v124(constB11, 1))))),
% 13.95/9.10 inference(modus_ponens,[status(thm)],[1903, 1902])).
% 13.95/9.10 tff(1905,plain,
% 13.95/9.10 (v105(constB11) | (~(((~v121(constB11, 2)) <=> v124(constB11, 2)) | ((~v121(constB11, 0)) <=> v124(constB11, 0)) | ((~v121(constB11, 1)) <=> v124(constB11, 1))))),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1904, 891])).
% 13.95/9.10 tff(1906,plain,
% 13.95/9.10 (~(((~v121(constB11, 2)) <=> v124(constB11, 2)) | ((~v121(constB11, 0)) <=> v124(constB11, 0)) | ((~v121(constB11, 1)) <=> v124(constB11, 1)))),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1905, 1901])).
% 13.95/9.10 tff(1907,plain,
% 13.95/9.10 ((((~v121(constB11, 2)) <=> v124(constB11, 2)) | ((~v121(constB11, 0)) <=> v124(constB11, 0)) | ((~v121(constB11, 1)) <=> v124(constB11, 1))) | (~((~v121(constB11, 2)) <=> v124(constB11, 2)))),
% 13.95/9.10 inference(tautology,[status(thm)],[])).
% 13.95/9.10 tff(1908,plain,
% 13.95/9.10 (~((~v121(constB11, 2)) <=> v124(constB11, 2))),
% 13.95/9.10 inference(unit_resolution,[status(thm)],[1907, 1906])).
% 13.95/9.10 tff(1909,plain,
% 13.95/9.10 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB11) <=> (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))))),
% 13.95/9.11 inference(quant_inst,[status(thm)],[])).
% 13.95/9.11 tff(1910,plain,
% 13.95/9.11 (v116(constB11) <=> (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0))))),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1909, 911])).
% 13.95/9.11 tff(1911,plain,
% 13.95/9.11 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 13.95/9.11 inference(rewrite,[status(thm)],[])).
% 13.95/9.11 tff(1912,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_10')).
% 13.95/9.11 tff(1913,plain,
% 13.95/9.11 (nextState(constB10, constB11)),
% 13.95/9.11 inference(modus_ponens,[status(thm)],[1912, 1911])).
% 13.95/9.11 tff(1914,plain,
% 13.95/9.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB10, constB11)) | (v94(constB11) <=> (~((~v95(constB11)) | (~v104(constB11))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB10, constB11)) | (v94(constB11) <=> (~((~v95(constB11)) | (~v104(constB11))))))),
% 13.95/9.11 inference(rewrite,[status(thm)],[])).
% 13.95/9.11 tff(1915,plain,
% 13.95/9.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB10, constB11)) | (v94(constB11) <=> (~((~v95(constB11)) | (~v104(constB11))))))),
% 13.95/9.11 inference(quant_inst,[status(thm)],[])).
% 13.95/9.11 tff(1916,plain,
% 13.95/9.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB10, constB11)) | (v94(constB11) <=> (~((~v95(constB11)) | (~v104(constB11)))))),
% 13.95/9.11 inference(modus_ponens,[status(thm)],[1915, 1914])).
% 13.95/9.11 tff(1917,plain,
% 13.95/9.11 (v94(constB11) <=> (~((~v95(constB11)) | (~v104(constB11))))),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1916, 1913, 770])).
% 13.95/9.11 tff(1918,plain,
% 13.95/9.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11))))))),
% 13.95/9.11 inference(rewrite,[status(thm)],[])).
% 13.95/9.11 tff(1919,plain,
% 13.95/9.11 (((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v96(constB11)) | (~v1(constB11)))))) <=> ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11))))))),
% 13.95/9.11 inference(rewrite,[status(thm)],[])).
% 13.95/9.11 tff(1920,plain,
% 13.95/9.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v96(constB11)) | (~v1(constB11))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11)))))))),
% 13.95/9.11 inference(monotonicity,[status(thm)],[1919])).
% 13.95/9.11 tff(1921,plain,
% 13.95/9.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v96(constB11)) | (~v1(constB11))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11))))))),
% 13.95/9.11 inference(transitivity,[status(thm)],[1920, 1918])).
% 13.95/9.11 tff(1922,plain,
% 13.95/9.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v96(constB11)) | (~v1(constB11))))))),
% 13.95/9.11 inference(quant_inst,[status(thm)],[])).
% 13.95/9.11 tff(1923,plain,
% 13.95/9.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11)))))),
% 13.95/9.11 inference(modus_ponens,[status(thm)],[1922, 1921])).
% 13.95/9.11 tff(1924,plain,
% 13.95/9.11 (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11))))),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1923, 1913, 790])).
% 13.95/9.11 tff(1925,plain,
% 13.95/9.11 ((~v1(constB11)) <=> (~v1(constB11))),
% 13.95/9.11 inference(rewrite,[status(thm)],[])).
% 13.95/9.11 tff(1926,axiom,(~v1(constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_11')).
% 13.95/9.11 tff(1927,plain,
% 13.95/9.11 (~v1(constB11)),
% 13.95/9.11 inference(modus_ponens,[status(thm)],[1926, 1925])).
% 13.95/9.11 tff(1928,plain,
% 13.95/9.11 (((~v1(constB11)) | (~v96(constB11))) | v1(constB11)),
% 13.95/9.11 inference(tautology,[status(thm)],[])).
% 13.95/9.11 tff(1929,plain,
% 13.95/9.11 ((~v1(constB11)) | (~v96(constB11))),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1928, 1927])).
% 13.95/9.11 tff(1930,plain,
% 13.95/9.11 ((~(v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11)))))) | (~v95(constB11)) | (~((~v1(constB11)) | (~v96(constB11))))),
% 13.95/9.11 inference(tautology,[status(thm)],[])).
% 13.95/9.11 tff(1931,plain,
% 13.95/9.11 ((~(v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11)))))) | (~v95(constB11))),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1930, 1929])).
% 13.95/9.11 tff(1932,plain,
% 13.95/9.11 (~v95(constB11)),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1931, 1924])).
% 13.95/9.11 tff(1933,plain,
% 13.95/9.11 (((~v95(constB11)) | (~v104(constB11))) | v95(constB11)),
% 13.95/9.11 inference(tautology,[status(thm)],[])).
% 13.95/9.11 tff(1934,plain,
% 13.95/9.11 ((~v95(constB11)) | (~v104(constB11))),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1933, 1932])).
% 13.95/9.11 tff(1935,plain,
% 13.95/9.11 ((~(v94(constB11) <=> (~((~v95(constB11)) | (~v104(constB11)))))) | (~v94(constB11)) | (~((~v95(constB11)) | (~v104(constB11))))),
% 13.95/9.11 inference(tautology,[status(thm)],[])).
% 13.95/9.11 tff(1936,plain,
% 13.95/9.11 (~v94(constB11)),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1935, 1934, 1917])).
% 13.95/9.11 tff(1937,plain,
% 13.95/9.11 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB11) | (~nextState(constB10, constB11)) | (~(((~v84(constB11, 1)) <=> v84(constB10, 1)) | ((~v84(constB11, 2)) <=> v84(constB10, 2)) | ((~v84(constB11, 0)) <=> v84(constB10, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB11) | (~nextState(constB10, constB11)) | (~(((~v84(constB11, 1)) <=> v84(constB10, 1)) | ((~v84(constB11, 2)) <=> v84(constB10, 2)) | ((~v84(constB11, 0)) <=> v84(constB10, 0)))))),
% 13.95/9.11 inference(rewrite,[status(thm)],[])).
% 13.95/9.11 tff(1938,plain,
% 13.95/9.11 ((v94(constB11) | (~nextState(constB10, constB11)) | (~(((~v84(constB11, 2)) <=> v84(constB10, 2)) | ((~v84(constB11, 1)) <=> v84(constB10, 1)) | ((~v84(constB11, 0)) <=> v84(constB10, 0))))) <=> (v94(constB11) | (~nextState(constB10, constB11)) | (~(((~v84(constB11, 1)) <=> v84(constB10, 1)) | ((~v84(constB11, 2)) <=> v84(constB10, 2)) | ((~v84(constB11, 0)) <=> v84(constB10, 0)))))),
% 13.95/9.11 inference(rewrite,[status(thm)],[])).
% 13.95/9.11 tff(1939,plain,
% 13.95/9.11 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB11) | (~nextState(constB10, constB11)) | (~(((~v84(constB11, 2)) <=> v84(constB10, 2)) | ((~v84(constB11, 1)) <=> v84(constB10, 1)) | ((~v84(constB11, 0)) <=> v84(constB10, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB11) | (~nextState(constB10, constB11)) | (~(((~v84(constB11, 1)) <=> v84(constB10, 1)) | ((~v84(constB11, 2)) <=> v84(constB10, 2)) | ((~v84(constB11, 0)) <=> v84(constB10, 0))))))),
% 13.95/9.11 inference(monotonicity,[status(thm)],[1938])).
% 13.95/9.11 tff(1940,plain,
% 13.95/9.11 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB11) | (~nextState(constB10, constB11)) | (~(((~v84(constB11, 2)) <=> v84(constB10, 2)) | ((~v84(constB11, 1)) <=> v84(constB10, 1)) | ((~v84(constB11, 0)) <=> v84(constB10, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB11) | (~nextState(constB10, constB11)) | (~(((~v84(constB11, 1)) <=> v84(constB10, 1)) | ((~v84(constB11, 2)) <=> v84(constB10, 2)) | ((~v84(constB11, 0)) <=> v84(constB10, 0)))))),
% 13.95/9.11 inference(transitivity,[status(thm)],[1939, 1937])).
% 13.95/9.11 tff(1941,plain,
% 13.95/9.11 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB11) | (~nextState(constB10, constB11)) | (~(((~v84(constB11, 2)) <=> v84(constB10, 2)) | ((~v84(constB11, 1)) <=> v84(constB10, 1)) | ((~v84(constB11, 0)) <=> v84(constB10, 0)))))),
% 13.95/9.11 inference(quant_inst,[status(thm)],[])).
% 13.95/9.11 tff(1942,plain,
% 13.95/9.11 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB11) | (~nextState(constB10, constB11)) | (~(((~v84(constB11, 1)) <=> v84(constB10, 1)) | ((~v84(constB11, 2)) <=> v84(constB10, 2)) | ((~v84(constB11, 0)) <=> v84(constB10, 0))))),
% 13.95/9.11 inference(modus_ponens,[status(thm)],[1941, 1940])).
% 13.95/9.11 tff(1943,plain,
% 13.95/9.11 (v94(constB11) | (~(((~v84(constB11, 1)) <=> v84(constB10, 1)) | ((~v84(constB11, 2)) <=> v84(constB10, 2)) | ((~v84(constB11, 0)) <=> v84(constB10, 0))))),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1942, 1913, 819])).
% 13.95/9.11 tff(1944,plain,
% 13.95/9.11 (~(((~v84(constB11, 1)) <=> v84(constB10, 1)) | ((~v84(constB11, 2)) <=> v84(constB10, 2)) | ((~v84(constB11, 0)) <=> v84(constB10, 0)))),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1943, 1936])).
% 13.95/9.11 tff(1945,plain,
% 13.95/9.11 ((((~v84(constB11, 1)) <=> v84(constB10, 1)) | ((~v84(constB11, 2)) <=> v84(constB10, 2)) | ((~v84(constB11, 0)) <=> v84(constB10, 0))) | (~((~v84(constB11, 2)) <=> v84(constB10, 2)))),
% 13.95/9.11 inference(tautology,[status(thm)],[])).
% 13.95/9.11 tff(1946,plain,
% 13.95/9.11 (~((~v84(constB11, 2)) <=> v84(constB10, 2))),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1945, 1944])).
% 13.95/9.11 tff(1947,plain,
% 13.95/9.11 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 13.95/9.11 inference(rewrite,[status(thm)],[])).
% 13.95/9.11 tff(1948,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_9')).
% 13.95/9.11 tff(1949,plain,
% 13.95/9.11 (nextState(constB9, constB10)),
% 13.95/9.11 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 13.95/9.11 tff(1950,plain,
% 13.95/9.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB9, constB10)) | (~(((~v123(constB10, 2)) <=> v121(constB9, 2)) | ((~v123(constB10, 1)) <=> v121(constB9, 1)) | ((~v123(constB10, 0)) <=> v121(constB9, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB9, constB10)) | (~(((~v123(constB10, 2)) <=> v121(constB9, 2)) | ((~v123(constB10, 1)) <=> v121(constB9, 1)) | ((~v123(constB10, 0)) <=> v121(constB9, 0)))))),
% 13.95/9.11 inference(rewrite,[status(thm)],[])).
% 13.95/9.11 tff(1951,plain,
% 13.95/9.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB9, constB10)) | (~(((~v123(constB10, 2)) <=> v121(constB9, 2)) | ((~v123(constB10, 1)) <=> v121(constB9, 1)) | ((~v123(constB10, 0)) <=> v121(constB9, 0)))))),
% 13.95/9.11 inference(quant_inst,[status(thm)],[])).
% 13.95/9.11 tff(1952,plain,
% 13.95/9.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB9, constB10)) | (~(((~v123(constB10, 2)) <=> v121(constB9, 2)) | ((~v123(constB10, 1)) <=> v121(constB9, 1)) | ((~v123(constB10, 0)) <=> v121(constB9, 0))))),
% 13.95/9.11 inference(modus_ponens,[status(thm)],[1951, 1950])).
% 13.95/9.11 tff(1953,plain,
% 13.95/9.11 (~(((~v123(constB10, 2)) <=> v121(constB9, 2)) | ((~v123(constB10, 1)) <=> v121(constB9, 1)) | ((~v123(constB10, 0)) <=> v121(constB9, 0)))),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1952, 1949, 842])).
% 13.95/9.11 tff(1954,plain,
% 13.95/9.11 ((((~v123(constB10, 2)) <=> v121(constB9, 2)) | ((~v123(constB10, 1)) <=> v121(constB9, 1)) | ((~v123(constB10, 0)) <=> v121(constB9, 0))) | (~((~v123(constB10, 2)) <=> v121(constB9, 2)))),
% 13.95/9.11 inference(tautology,[status(thm)],[])).
% 13.95/9.11 tff(1955,plain,
% 13.95/9.11 (~((~v123(constB10, 2)) <=> v121(constB9, 2))),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1954, 1953])).
% 13.95/9.11 tff(1956,plain,
% 13.95/9.11 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB9) <=> v26(constB9))),
% 13.95/9.11 inference(quant_inst,[status(thm)],[])).
% 13.95/9.11 tff(1957,plain,
% 13.95/9.11 (v105(constB9) <=> v26(constB9)),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1956, 861])).
% 13.95/9.11 tff(1958,plain,
% 13.95/9.11 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB9))),
% 13.95/9.11 inference(quant_inst,[status(thm)],[])).
% 13.95/9.11 tff(1959,plain,
% 13.95/9.11 (~v26(constB9)),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1958, 873])).
% 13.95/9.11 tff(1960,plain,
% 13.95/9.11 ((~(v105(constB9) <=> v26(constB9))) | (~v105(constB9)) | v26(constB9)),
% 13.95/9.11 inference(tautology,[status(thm)],[])).
% 13.95/9.11 tff(1961,plain,
% 13.95/9.11 ((~(v105(constB9) <=> v26(constB9))) | (~v105(constB9))),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1960, 1959])).
% 13.95/9.11 tff(1962,plain,
% 13.95/9.11 (~v105(constB9)),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1961, 1957])).
% 13.95/9.11 tff(1963,plain,
% 13.95/9.11 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB9) | (~(((~v121(constB9, 2)) <=> v124(constB9, 2)) | ((~v121(constB9, 0)) <=> v124(constB9, 0)) | ((~v121(constB9, 1)) <=> v124(constB9, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB9) | (~(((~v121(constB9, 2)) <=> v124(constB9, 2)) | ((~v121(constB9, 0)) <=> v124(constB9, 0)) | ((~v121(constB9, 1)) <=> v124(constB9, 1)))))),
% 13.95/9.11 inference(rewrite,[status(thm)],[])).
% 13.95/9.11 tff(1964,plain,
% 13.95/9.11 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB9) | (~(((~v121(constB9, 2)) <=> v124(constB9, 2)) | ((~v121(constB9, 0)) <=> v124(constB9, 0)) | ((~v121(constB9, 1)) <=> v124(constB9, 1)))))),
% 13.95/9.11 inference(quant_inst,[status(thm)],[])).
% 13.95/9.11 tff(1965,plain,
% 13.95/9.11 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB9) | (~(((~v121(constB9, 2)) <=> v124(constB9, 2)) | ((~v121(constB9, 0)) <=> v124(constB9, 0)) | ((~v121(constB9, 1)) <=> v124(constB9, 1))))),
% 13.95/9.11 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 13.95/9.11 tff(1966,plain,
% 13.95/9.11 (v105(constB9) | (~(((~v121(constB9, 2)) <=> v124(constB9, 2)) | ((~v121(constB9, 0)) <=> v124(constB9, 0)) | ((~v121(constB9, 1)) <=> v124(constB9, 1))))),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1965, 891])).
% 13.95/9.11 tff(1967,plain,
% 13.95/9.11 (~(((~v121(constB9, 2)) <=> v124(constB9, 2)) | ((~v121(constB9, 0)) <=> v124(constB9, 0)) | ((~v121(constB9, 1)) <=> v124(constB9, 1)))),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1966, 1962])).
% 13.95/9.11 tff(1968,plain,
% 13.95/9.11 ((((~v121(constB9, 2)) <=> v124(constB9, 2)) | ((~v121(constB9, 0)) <=> v124(constB9, 0)) | ((~v121(constB9, 1)) <=> v124(constB9, 1))) | (~((~v121(constB9, 2)) <=> v124(constB9, 2)))),
% 13.95/9.11 inference(tautology,[status(thm)],[])).
% 13.95/9.11 tff(1969,plain,
% 13.95/9.11 (~((~v121(constB9, 2)) <=> v124(constB9, 2))),
% 13.95/9.11 inference(unit_resolution,[status(thm)],[1968, 1967])).
% 13.95/9.12 tff(1970,plain,
% 13.95/9.12 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~(v84(constB9, 2) | v84(constB9, 0) | (~v84(constB9, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~(v84(constB9, 2) | v84(constB9, 0) | (~v84(constB9, 1))))))),
% 13.95/9.12 inference(rewrite,[status(thm)],[])).
% 13.95/9.12 tff(1971,plain,
% 13.95/9.12 ((v115(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 2) | (~v84(constB9, 1))))) <=> (v115(constB9) <=> (~(v84(constB9, 2) | v84(constB9, 0) | (~v84(constB9, 1)))))),
% 13.95/9.12 inference(rewrite,[status(thm)],[])).
% 13.95/9.12 tff(1972,plain,
% 13.95/9.12 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 2) | (~v84(constB9, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~(v84(constB9, 2) | v84(constB9, 0) | (~v84(constB9, 1))))))),
% 13.95/9.12 inference(monotonicity,[status(thm)],[1971])).
% 13.95/9.12 tff(1973,plain,
% 13.95/9.12 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 2) | (~v84(constB9, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~(v84(constB9, 2) | v84(constB9, 0) | (~v84(constB9, 1))))))),
% 13.95/9.12 inference(transitivity,[status(thm)],[1972, 1970])).
% 13.95/9.12 tff(1974,plain,
% 13.95/9.12 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~(v84(constB9, 0) | v84(constB9, 2) | (~v84(constB9, 1)))))),
% 13.95/9.12 inference(quant_inst,[status(thm)],[])).
% 13.95/9.12 tff(1975,plain,
% 13.95/9.12 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB9) <=> (~(v84(constB9, 2) | v84(constB9, 0) | (~v84(constB9, 1)))))),
% 13.95/9.12 inference(modus_ponens,[status(thm)],[1974, 1973])).
% 13.95/9.12 tff(1976,plain,
% 13.95/9.12 (v115(constB9) <=> (~(v84(constB9, 2) | v84(constB9, 0) | (~v84(constB9, 1))))),
% 13.95/9.12 inference(unit_resolution,[status(thm)],[1975, 985])).
% 13.95/9.12 tff(1977,plain,
% 13.95/9.12 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 13.95/9.12 inference(rewrite,[status(thm)],[])).
% 13.95/9.12 tff(1978,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_8')).
% 13.95/9.12 tff(1979,plain,
% 13.95/9.12 (nextState(constB8, constB9)),
% 13.95/9.12 inference(modus_ponens,[status(thm)],[1978, 1977])).
% 13.95/9.12 tff(1980,plain,
% 13.95/9.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB8, constB9)) | (v94(constB9) <=> (~((~v95(constB9)) | (~v104(constB9))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB8, constB9)) | (v94(constB9) <=> (~((~v95(constB9)) | (~v104(constB9))))))),
% 13.95/9.12 inference(rewrite,[status(thm)],[])).
% 13.95/9.12 tff(1981,plain,
% 13.95/9.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB8, constB9)) | (v94(constB9) <=> (~((~v95(constB9)) | (~v104(constB9))))))),
% 13.95/9.12 inference(quant_inst,[status(thm)],[])).
% 13.95/9.12 tff(1982,plain,
% 13.95/9.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB8, constB9)) | (v94(constB9) <=> (~((~v95(constB9)) | (~v104(constB9)))))),
% 13.95/9.12 inference(modus_ponens,[status(thm)],[1981, 1980])).
% 13.95/9.12 tff(1983,plain,
% 13.95/9.12 (v94(constB9) <=> (~((~v95(constB9)) | (~v104(constB9))))),
% 13.95/9.12 inference(unit_resolution,[status(thm)],[1982, 1979, 770])).
% 13.95/9.12 tff(1984,plain,
% 13.95/9.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9))))))),
% 13.95/9.12 inference(rewrite,[status(thm)],[])).
% 13.95/9.12 tff(1985,plain,
% 13.95/9.12 (((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v96(constB9)) | (~v1(constB9)))))) <=> ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9))))))),
% 13.95/9.12 inference(rewrite,[status(thm)],[])).
% 13.95/9.12 tff(1986,plain,
% 13.95/9.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v96(constB9)) | (~v1(constB9))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9)))))))),
% 13.95/9.12 inference(monotonicity,[status(thm)],[1985])).
% 13.95/9.12 tff(1987,plain,
% 13.95/9.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v96(constB9)) | (~v1(constB9))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9))))))),
% 13.95/9.12 inference(transitivity,[status(thm)],[1986, 1984])).
% 13.95/9.12 tff(1988,plain,
% 13.95/9.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v96(constB9)) | (~v1(constB9))))))),
% 13.95/9.12 inference(quant_inst,[status(thm)],[])).
% 13.95/9.12 tff(1989,plain,
% 13.95/9.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9)))))),
% 13.95/9.12 inference(modus_ponens,[status(thm)],[1988, 1987])).
% 13.95/9.12 tff(1990,plain,
% 13.95/9.12 (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9))))),
% 13.95/9.12 inference(unit_resolution,[status(thm)],[1989, 1979, 790])).
% 13.95/9.12 tff(1991,plain,
% 13.95/9.12 ((~v1(constB9)) <=> (~v1(constB9))),
% 13.95/9.12 inference(rewrite,[status(thm)],[])).
% 13.95/9.12 tff(1992,axiom,(~v1(constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_9')).
% 13.95/9.12 tff(1993,plain,
% 13.95/9.12 (~v1(constB9)),
% 13.95/9.12 inference(modus_ponens,[status(thm)],[1992, 1991])).
% 13.95/9.12 tff(1994,plain,
% 13.95/9.12 (((~v1(constB9)) | (~v96(constB9))) | v1(constB9)),
% 13.95/9.12 inference(tautology,[status(thm)],[])).
% 13.95/9.12 tff(1995,plain,
% 13.95/9.12 ((~v1(constB9)) | (~v96(constB9))),
% 13.95/9.12 inference(unit_resolution,[status(thm)],[1994, 1993])).
% 13.99/9.12 tff(1996,plain,
% 13.99/9.12 ((~(v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9)))))) | (~v95(constB9)) | (~((~v1(constB9)) | (~v96(constB9))))),
% 13.99/9.12 inference(tautology,[status(thm)],[])).
% 13.99/9.12 tff(1997,plain,
% 13.99/9.12 ((~(v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9)))))) | (~v95(constB9))),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[1996, 1995])).
% 13.99/9.12 tff(1998,plain,
% 13.99/9.12 (~v95(constB9)),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[1997, 1990])).
% 13.99/9.12 tff(1999,plain,
% 13.99/9.12 (((~v95(constB9)) | (~v104(constB9))) | v95(constB9)),
% 13.99/9.12 inference(tautology,[status(thm)],[])).
% 13.99/9.12 tff(2000,plain,
% 13.99/9.12 ((~v95(constB9)) | (~v104(constB9))),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[1999, 1998])).
% 13.99/9.12 tff(2001,plain,
% 13.99/9.12 ((~(v94(constB9) <=> (~((~v95(constB9)) | (~v104(constB9)))))) | (~v94(constB9)) | (~((~v95(constB9)) | (~v104(constB9))))),
% 13.99/9.12 inference(tautology,[status(thm)],[])).
% 13.99/9.12 tff(2002,plain,
% 13.99/9.12 (~v94(constB9)),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[2001, 2000, 1983])).
% 13.99/9.12 tff(2003,plain,
% 13.99/9.12 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB9) | (~nextState(constB8, constB9)) | (~(((~v84(constB9, 1)) <=> v84(constB8, 1)) | ((~v84(constB9, 2)) <=> v84(constB8, 2)) | ((~v84(constB9, 0)) <=> v84(constB8, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB9) | (~nextState(constB8, constB9)) | (~(((~v84(constB9, 1)) <=> v84(constB8, 1)) | ((~v84(constB9, 2)) <=> v84(constB8, 2)) | ((~v84(constB9, 0)) <=> v84(constB8, 0)))))),
% 13.99/9.12 inference(rewrite,[status(thm)],[])).
% 13.99/9.12 tff(2004,plain,
% 13.99/9.12 ((v94(constB9) | (~nextState(constB8, constB9)) | (~(((~v84(constB9, 2)) <=> v84(constB8, 2)) | ((~v84(constB9, 1)) <=> v84(constB8, 1)) | ((~v84(constB9, 0)) <=> v84(constB8, 0))))) <=> (v94(constB9) | (~nextState(constB8, constB9)) | (~(((~v84(constB9, 1)) <=> v84(constB8, 1)) | ((~v84(constB9, 2)) <=> v84(constB8, 2)) | ((~v84(constB9, 0)) <=> v84(constB8, 0)))))),
% 13.99/9.12 inference(rewrite,[status(thm)],[])).
% 13.99/9.12 tff(2005,plain,
% 13.99/9.12 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB9) | (~nextState(constB8, constB9)) | (~(((~v84(constB9, 2)) <=> v84(constB8, 2)) | ((~v84(constB9, 1)) <=> v84(constB8, 1)) | ((~v84(constB9, 0)) <=> v84(constB8, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB9) | (~nextState(constB8, constB9)) | (~(((~v84(constB9, 1)) <=> v84(constB8, 1)) | ((~v84(constB9, 2)) <=> v84(constB8, 2)) | ((~v84(constB9, 0)) <=> v84(constB8, 0))))))),
% 13.99/9.12 inference(monotonicity,[status(thm)],[2004])).
% 13.99/9.12 tff(2006,plain,
% 13.99/9.12 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB9) | (~nextState(constB8, constB9)) | (~(((~v84(constB9, 2)) <=> v84(constB8, 2)) | ((~v84(constB9, 1)) <=> v84(constB8, 1)) | ((~v84(constB9, 0)) <=> v84(constB8, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB9) | (~nextState(constB8, constB9)) | (~(((~v84(constB9, 1)) <=> v84(constB8, 1)) | ((~v84(constB9, 2)) <=> v84(constB8, 2)) | ((~v84(constB9, 0)) <=> v84(constB8, 0)))))),
% 13.99/9.12 inference(transitivity,[status(thm)],[2005, 2003])).
% 13.99/9.12 tff(2007,plain,
% 13.99/9.12 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB9) | (~nextState(constB8, constB9)) | (~(((~v84(constB9, 2)) <=> v84(constB8, 2)) | ((~v84(constB9, 1)) <=> v84(constB8, 1)) | ((~v84(constB9, 0)) <=> v84(constB8, 0)))))),
% 13.99/9.12 inference(quant_inst,[status(thm)],[])).
% 13.99/9.12 tff(2008,plain,
% 13.99/9.12 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB9) | (~nextState(constB8, constB9)) | (~(((~v84(constB9, 1)) <=> v84(constB8, 1)) | ((~v84(constB9, 2)) <=> v84(constB8, 2)) | ((~v84(constB9, 0)) <=> v84(constB8, 0))))),
% 13.99/9.12 inference(modus_ponens,[status(thm)],[2007, 2006])).
% 13.99/9.12 tff(2009,plain,
% 13.99/9.12 (v94(constB9) | (~(((~v84(constB9, 1)) <=> v84(constB8, 1)) | ((~v84(constB9, 2)) <=> v84(constB8, 2)) | ((~v84(constB9, 0)) <=> v84(constB8, 0))))),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[2008, 1979, 819])).
% 13.99/9.12 tff(2010,plain,
% 13.99/9.12 (~(((~v84(constB9, 1)) <=> v84(constB8, 1)) | ((~v84(constB9, 2)) <=> v84(constB8, 2)) | ((~v84(constB9, 0)) <=> v84(constB8, 0)))),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[2009, 2002])).
% 13.99/9.12 tff(2011,plain,
% 13.99/9.12 ((((~v84(constB9, 1)) <=> v84(constB8, 1)) | ((~v84(constB9, 2)) <=> v84(constB8, 2)) | ((~v84(constB9, 0)) <=> v84(constB8, 0))) | (~((~v84(constB9, 2)) <=> v84(constB8, 2)))),
% 13.99/9.12 inference(tautology,[status(thm)],[])).
% 13.99/9.12 tff(2012,plain,
% 13.99/9.12 (~((~v84(constB9, 2)) <=> v84(constB8, 2))),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[2011, 2010])).
% 13.99/9.12 tff(2013,plain,
% 13.99/9.12 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 13.99/9.12 inference(rewrite,[status(thm)],[])).
% 13.99/9.12 tff(2014,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_7')).
% 13.99/9.12 tff(2015,plain,
% 13.99/9.12 (nextState(constB7, constB8)),
% 13.99/9.12 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 13.99/9.12 tff(2016,plain,
% 13.99/9.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB7, constB8)) | (~(((~v123(constB8, 2)) <=> v121(constB7, 2)) | ((~v123(constB8, 1)) <=> v121(constB7, 1)) | ((~v123(constB8, 0)) <=> v121(constB7, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB7, constB8)) | (~(((~v123(constB8, 2)) <=> v121(constB7, 2)) | ((~v123(constB8, 1)) <=> v121(constB7, 1)) | ((~v123(constB8, 0)) <=> v121(constB7, 0)))))),
% 13.99/9.12 inference(rewrite,[status(thm)],[])).
% 13.99/9.12 tff(2017,plain,
% 13.99/9.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB7, constB8)) | (~(((~v123(constB8, 2)) <=> v121(constB7, 2)) | ((~v123(constB8, 1)) <=> v121(constB7, 1)) | ((~v123(constB8, 0)) <=> v121(constB7, 0)))))),
% 13.99/9.12 inference(quant_inst,[status(thm)],[])).
% 13.99/9.12 tff(2018,plain,
% 13.99/9.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB7, constB8)) | (~(((~v123(constB8, 2)) <=> v121(constB7, 2)) | ((~v123(constB8, 1)) <=> v121(constB7, 1)) | ((~v123(constB8, 0)) <=> v121(constB7, 0))))),
% 13.99/9.12 inference(modus_ponens,[status(thm)],[2017, 2016])).
% 13.99/9.12 tff(2019,plain,
% 13.99/9.12 (~(((~v123(constB8, 2)) <=> v121(constB7, 2)) | ((~v123(constB8, 1)) <=> v121(constB7, 1)) | ((~v123(constB8, 0)) <=> v121(constB7, 0)))),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[2018, 2015, 842])).
% 13.99/9.12 tff(2020,plain,
% 13.99/9.12 ((((~v123(constB8, 2)) <=> v121(constB7, 2)) | ((~v123(constB8, 1)) <=> v121(constB7, 1)) | ((~v123(constB8, 0)) <=> v121(constB7, 0))) | (~((~v123(constB8, 2)) <=> v121(constB7, 2)))),
% 13.99/9.12 inference(tautology,[status(thm)],[])).
% 13.99/9.12 tff(2021,plain,
% 13.99/9.12 (~((~v123(constB8, 2)) <=> v121(constB7, 2))),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[2020, 2019])).
% 13.99/9.12 tff(2022,plain,
% 13.99/9.12 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB7) <=> v26(constB7))),
% 13.99/9.12 inference(quant_inst,[status(thm)],[])).
% 13.99/9.12 tff(2023,plain,
% 13.99/9.12 (v105(constB7) <=> v26(constB7)),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[2022, 861])).
% 13.99/9.12 tff(2024,plain,
% 13.99/9.12 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB7))),
% 13.99/9.12 inference(quant_inst,[status(thm)],[])).
% 13.99/9.12 tff(2025,plain,
% 13.99/9.12 (~v26(constB7)),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[2024, 873])).
% 13.99/9.12 tff(2026,plain,
% 13.99/9.12 ((~(v105(constB7) <=> v26(constB7))) | (~v105(constB7)) | v26(constB7)),
% 13.99/9.12 inference(tautology,[status(thm)],[])).
% 13.99/9.12 tff(2027,plain,
% 13.99/9.12 ((~(v105(constB7) <=> v26(constB7))) | (~v105(constB7))),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[2026, 2025])).
% 13.99/9.12 tff(2028,plain,
% 13.99/9.12 (~v105(constB7)),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[2027, 2023])).
% 13.99/9.12 tff(2029,plain,
% 13.99/9.12 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB7) | (~(((~v121(constB7, 2)) <=> v124(constB7, 2)) | ((~v121(constB7, 0)) <=> v124(constB7, 0)) | ((~v121(constB7, 1)) <=> v124(constB7, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB7) | (~(((~v121(constB7, 2)) <=> v124(constB7, 2)) | ((~v121(constB7, 0)) <=> v124(constB7, 0)) | ((~v121(constB7, 1)) <=> v124(constB7, 1)))))),
% 13.99/9.12 inference(rewrite,[status(thm)],[])).
% 13.99/9.12 tff(2030,plain,
% 13.99/9.12 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB7) | (~(((~v121(constB7, 2)) <=> v124(constB7, 2)) | ((~v121(constB7, 0)) <=> v124(constB7, 0)) | ((~v121(constB7, 1)) <=> v124(constB7, 1)))))),
% 13.99/9.12 inference(quant_inst,[status(thm)],[])).
% 13.99/9.12 tff(2031,plain,
% 13.99/9.12 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB7) | (~(((~v121(constB7, 2)) <=> v124(constB7, 2)) | ((~v121(constB7, 0)) <=> v124(constB7, 0)) | ((~v121(constB7, 1)) <=> v124(constB7, 1))))),
% 13.99/9.12 inference(modus_ponens,[status(thm)],[2030, 2029])).
% 13.99/9.12 tff(2032,plain,
% 13.99/9.12 (v105(constB7) | (~(((~v121(constB7, 2)) <=> v124(constB7, 2)) | ((~v121(constB7, 0)) <=> v124(constB7, 0)) | ((~v121(constB7, 1)) <=> v124(constB7, 1))))),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[2031, 891])).
% 13.99/9.12 tff(2033,plain,
% 13.99/9.12 (~(((~v121(constB7, 2)) <=> v124(constB7, 2)) | ((~v121(constB7, 0)) <=> v124(constB7, 0)) | ((~v121(constB7, 1)) <=> v124(constB7, 1)))),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[2032, 2028])).
% 13.99/9.12 tff(2034,plain,
% 13.99/9.12 ((((~v121(constB7, 2)) <=> v124(constB7, 2)) | ((~v121(constB7, 0)) <=> v124(constB7, 0)) | ((~v121(constB7, 1)) <=> v124(constB7, 1))) | (~((~v121(constB7, 2)) <=> v124(constB7, 2)))),
% 13.99/9.12 inference(tautology,[status(thm)],[])).
% 13.99/9.12 tff(2035,plain,
% 13.99/9.12 (~((~v121(constB7, 2)) <=> v124(constB7, 2))),
% 13.99/9.12 inference(unit_resolution,[status(thm)],[2034, 2033])).
% 13.99/9.12 tff(2036,plain,
% 13.99/9.12 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB7) <=> (~(v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0)))))),
% 13.99/9.12 inference(quant_inst,[status(thm)],[])).
% 13.99/9.12 tff(2037,plain,
% 13.99/9.12 (v114(constB7) <=> (~(v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0))))),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2036, 1064])).
% 13.99/9.13 tff(2038,plain,
% 13.99/9.13 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 13.99/9.13 inference(rewrite,[status(thm)],[])).
% 13.99/9.13 tff(2039,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_6')).
% 13.99/9.13 tff(2040,plain,
% 13.99/9.13 (nextState(constB6, constB7)),
% 13.99/9.13 inference(modus_ponens,[status(thm)],[2039, 2038])).
% 13.99/9.13 tff(2041,plain,
% 13.99/9.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB6, constB7)) | (v94(constB7) <=> (~((~v95(constB7)) | (~v104(constB7))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB6, constB7)) | (v94(constB7) <=> (~((~v95(constB7)) | (~v104(constB7))))))),
% 13.99/9.13 inference(rewrite,[status(thm)],[])).
% 13.99/9.13 tff(2042,plain,
% 13.99/9.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB6, constB7)) | (v94(constB7) <=> (~((~v95(constB7)) | (~v104(constB7))))))),
% 13.99/9.13 inference(quant_inst,[status(thm)],[])).
% 13.99/9.13 tff(2043,plain,
% 13.99/9.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB6, constB7)) | (v94(constB7) <=> (~((~v95(constB7)) | (~v104(constB7)))))),
% 13.99/9.13 inference(modus_ponens,[status(thm)],[2042, 2041])).
% 13.99/9.13 tff(2044,plain,
% 13.99/9.13 (v94(constB7) <=> (~((~v95(constB7)) | (~v104(constB7))))),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2043, 2040, 770])).
% 13.99/9.13 tff(2045,plain,
% 13.99/9.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7))))))),
% 13.99/9.13 inference(rewrite,[status(thm)],[])).
% 13.99/9.13 tff(2046,plain,
% 13.99/9.13 (((~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v96(constB7)) | (~v1(constB7)))))) <=> ((~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7))))))),
% 13.99/9.13 inference(rewrite,[status(thm)],[])).
% 13.99/9.13 tff(2047,plain,
% 13.99/9.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v96(constB7)) | (~v1(constB7))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7)))))))),
% 13.99/9.13 inference(monotonicity,[status(thm)],[2046])).
% 13.99/9.13 tff(2048,plain,
% 13.99/9.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v96(constB7)) | (~v1(constB7))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7))))))),
% 13.99/9.13 inference(transitivity,[status(thm)],[2047, 2045])).
% 13.99/9.13 tff(2049,plain,
% 13.99/9.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v96(constB7)) | (~v1(constB7))))))),
% 13.99/9.13 inference(quant_inst,[status(thm)],[])).
% 13.99/9.13 tff(2050,plain,
% 13.99/9.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7)))))),
% 13.99/9.13 inference(modus_ponens,[status(thm)],[2049, 2048])).
% 13.99/9.13 tff(2051,plain,
% 13.99/9.13 (v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7))))),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2050, 2040, 790])).
% 13.99/9.13 tff(2052,plain,
% 13.99/9.13 ((~v1(constB7)) <=> (~v1(constB7))),
% 13.99/9.13 inference(rewrite,[status(thm)],[])).
% 13.99/9.13 tff(2053,axiom,(~v1(constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_7')).
% 13.99/9.13 tff(2054,plain,
% 13.99/9.13 (~v1(constB7)),
% 13.99/9.13 inference(modus_ponens,[status(thm)],[2053, 2052])).
% 13.99/9.13 tff(2055,plain,
% 13.99/9.13 (((~v1(constB7)) | (~v96(constB7))) | v1(constB7)),
% 13.99/9.13 inference(tautology,[status(thm)],[])).
% 13.99/9.13 tff(2056,plain,
% 13.99/9.13 ((~v1(constB7)) | (~v96(constB7))),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2055, 2054])).
% 13.99/9.13 tff(2057,plain,
% 13.99/9.13 ((~(v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7)))))) | (~v95(constB7)) | (~((~v1(constB7)) | (~v96(constB7))))),
% 13.99/9.13 inference(tautology,[status(thm)],[])).
% 13.99/9.13 tff(2058,plain,
% 13.99/9.13 ((~(v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7)))))) | (~v95(constB7))),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2057, 2056])).
% 13.99/9.13 tff(2059,plain,
% 13.99/9.13 (~v95(constB7)),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2058, 2051])).
% 13.99/9.13 tff(2060,plain,
% 13.99/9.13 (((~v95(constB7)) | (~v104(constB7))) | v95(constB7)),
% 13.99/9.13 inference(tautology,[status(thm)],[])).
% 13.99/9.13 tff(2061,plain,
% 13.99/9.13 ((~v95(constB7)) | (~v104(constB7))),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2060, 2059])).
% 13.99/9.13 tff(2062,plain,
% 13.99/9.13 ((~(v94(constB7) <=> (~((~v95(constB7)) | (~v104(constB7)))))) | (~v94(constB7)) | (~((~v95(constB7)) | (~v104(constB7))))),
% 13.99/9.13 inference(tautology,[status(thm)],[])).
% 13.99/9.13 tff(2063,plain,
% 13.99/9.13 (~v94(constB7)),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2062, 2061, 2044])).
% 13.99/9.13 tff(2064,plain,
% 13.99/9.13 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB7) | (~nextState(constB6, constB7)) | (~(((~v84(constB7, 1)) <=> v84(constB6, 1)) | ((~v84(constB7, 2)) <=> v84(constB6, 2)) | ((~v84(constB7, 0)) <=> v84(constB6, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB7) | (~nextState(constB6, constB7)) | (~(((~v84(constB7, 1)) <=> v84(constB6, 1)) | ((~v84(constB7, 2)) <=> v84(constB6, 2)) | ((~v84(constB7, 0)) <=> v84(constB6, 0)))))),
% 13.99/9.13 inference(rewrite,[status(thm)],[])).
% 13.99/9.13 tff(2065,plain,
% 13.99/9.13 ((v94(constB7) | (~nextState(constB6, constB7)) | (~(((~v84(constB7, 2)) <=> v84(constB6, 2)) | ((~v84(constB7, 1)) <=> v84(constB6, 1)) | ((~v84(constB7, 0)) <=> v84(constB6, 0))))) <=> (v94(constB7) | (~nextState(constB6, constB7)) | (~(((~v84(constB7, 1)) <=> v84(constB6, 1)) | ((~v84(constB7, 2)) <=> v84(constB6, 2)) | ((~v84(constB7, 0)) <=> v84(constB6, 0)))))),
% 13.99/9.13 inference(rewrite,[status(thm)],[])).
% 13.99/9.13 tff(2066,plain,
% 13.99/9.13 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB7) | (~nextState(constB6, constB7)) | (~(((~v84(constB7, 2)) <=> v84(constB6, 2)) | ((~v84(constB7, 1)) <=> v84(constB6, 1)) | ((~v84(constB7, 0)) <=> v84(constB6, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB7) | (~nextState(constB6, constB7)) | (~(((~v84(constB7, 1)) <=> v84(constB6, 1)) | ((~v84(constB7, 2)) <=> v84(constB6, 2)) | ((~v84(constB7, 0)) <=> v84(constB6, 0))))))),
% 13.99/9.13 inference(monotonicity,[status(thm)],[2065])).
% 13.99/9.13 tff(2067,plain,
% 13.99/9.13 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB7) | (~nextState(constB6, constB7)) | (~(((~v84(constB7, 2)) <=> v84(constB6, 2)) | ((~v84(constB7, 1)) <=> v84(constB6, 1)) | ((~v84(constB7, 0)) <=> v84(constB6, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB7) | (~nextState(constB6, constB7)) | (~(((~v84(constB7, 1)) <=> v84(constB6, 1)) | ((~v84(constB7, 2)) <=> v84(constB6, 2)) | ((~v84(constB7, 0)) <=> v84(constB6, 0)))))),
% 13.99/9.13 inference(transitivity,[status(thm)],[2066, 2064])).
% 13.99/9.13 tff(2068,plain,
% 13.99/9.13 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB7) | (~nextState(constB6, constB7)) | (~(((~v84(constB7, 2)) <=> v84(constB6, 2)) | ((~v84(constB7, 1)) <=> v84(constB6, 1)) | ((~v84(constB7, 0)) <=> v84(constB6, 0)))))),
% 13.99/9.13 inference(quant_inst,[status(thm)],[])).
% 13.99/9.13 tff(2069,plain,
% 13.99/9.13 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB7) | (~nextState(constB6, constB7)) | (~(((~v84(constB7, 1)) <=> v84(constB6, 1)) | ((~v84(constB7, 2)) <=> v84(constB6, 2)) | ((~v84(constB7, 0)) <=> v84(constB6, 0))))),
% 13.99/9.13 inference(modus_ponens,[status(thm)],[2068, 2067])).
% 13.99/9.13 tff(2070,plain,
% 13.99/9.13 (v94(constB7) | (~(((~v84(constB7, 1)) <=> v84(constB6, 1)) | ((~v84(constB7, 2)) <=> v84(constB6, 2)) | ((~v84(constB7, 0)) <=> v84(constB6, 0))))),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2069, 2040, 819])).
% 13.99/9.13 tff(2071,plain,
% 13.99/9.13 (~(((~v84(constB7, 1)) <=> v84(constB6, 1)) | ((~v84(constB7, 2)) <=> v84(constB6, 2)) | ((~v84(constB7, 0)) <=> v84(constB6, 0)))),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2070, 2063])).
% 13.99/9.13 tff(2072,plain,
% 13.99/9.13 ((((~v84(constB7, 1)) <=> v84(constB6, 1)) | ((~v84(constB7, 2)) <=> v84(constB6, 2)) | ((~v84(constB7, 0)) <=> v84(constB6, 0))) | (~((~v84(constB7, 2)) <=> v84(constB6, 2)))),
% 13.99/9.13 inference(tautology,[status(thm)],[])).
% 13.99/9.13 tff(2073,plain,
% 13.99/9.13 (~((~v84(constB7, 2)) <=> v84(constB6, 2))),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2072, 2071])).
% 13.99/9.13 tff(2074,plain,
% 13.99/9.13 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 13.99/9.13 inference(rewrite,[status(thm)],[])).
% 13.99/9.13 tff(2075,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_5')).
% 13.99/9.13 tff(2076,plain,
% 13.99/9.13 (nextState(constB5, constB6)),
% 13.99/9.13 inference(modus_ponens,[status(thm)],[2075, 2074])).
% 13.99/9.13 tff(2077,plain,
% 13.99/9.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB5, constB6)) | (~(((~v123(constB6, 2)) <=> v121(constB5, 2)) | ((~v123(constB6, 1)) <=> v121(constB5, 1)) | ((~v123(constB6, 0)) <=> v121(constB5, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB5, constB6)) | (~(((~v123(constB6, 2)) <=> v121(constB5, 2)) | ((~v123(constB6, 1)) <=> v121(constB5, 1)) | ((~v123(constB6, 0)) <=> v121(constB5, 0)))))),
% 13.99/9.13 inference(rewrite,[status(thm)],[])).
% 13.99/9.13 tff(2078,plain,
% 13.99/9.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB5, constB6)) | (~(((~v123(constB6, 2)) <=> v121(constB5, 2)) | ((~v123(constB6, 1)) <=> v121(constB5, 1)) | ((~v123(constB6, 0)) <=> v121(constB5, 0)))))),
% 13.99/9.13 inference(quant_inst,[status(thm)],[])).
% 13.99/9.13 tff(2079,plain,
% 13.99/9.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB5, constB6)) | (~(((~v123(constB6, 2)) <=> v121(constB5, 2)) | ((~v123(constB6, 1)) <=> v121(constB5, 1)) | ((~v123(constB6, 0)) <=> v121(constB5, 0))))),
% 13.99/9.13 inference(modus_ponens,[status(thm)],[2078, 2077])).
% 13.99/9.13 tff(2080,plain,
% 13.99/9.13 (~(((~v123(constB6, 2)) <=> v121(constB5, 2)) | ((~v123(constB6, 1)) <=> v121(constB5, 1)) | ((~v123(constB6, 0)) <=> v121(constB5, 0)))),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2079, 2076, 842])).
% 13.99/9.13 tff(2081,plain,
% 13.99/9.13 ((((~v123(constB6, 2)) <=> v121(constB5, 2)) | ((~v123(constB6, 1)) <=> v121(constB5, 1)) | ((~v123(constB6, 0)) <=> v121(constB5, 0))) | (~((~v123(constB6, 2)) <=> v121(constB5, 2)))),
% 13.99/9.13 inference(tautology,[status(thm)],[])).
% 13.99/9.13 tff(2082,plain,
% 13.99/9.13 (~((~v123(constB6, 2)) <=> v121(constB5, 2))),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2081, 2080])).
% 13.99/9.13 tff(2083,plain,
% 13.99/9.13 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB5) <=> v26(constB5))),
% 13.99/9.13 inference(quant_inst,[status(thm)],[])).
% 13.99/9.13 tff(2084,plain,
% 13.99/9.13 (v105(constB5) <=> v26(constB5)),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2083, 861])).
% 13.99/9.13 tff(2085,plain,
% 13.99/9.13 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB5))),
% 13.99/9.13 inference(quant_inst,[status(thm)],[])).
% 13.99/9.13 tff(2086,plain,
% 13.99/9.13 (~v26(constB5)),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2085, 873])).
% 13.99/9.13 tff(2087,plain,
% 13.99/9.13 ((~(v105(constB5) <=> v26(constB5))) | (~v105(constB5)) | v26(constB5)),
% 13.99/9.13 inference(tautology,[status(thm)],[])).
% 13.99/9.13 tff(2088,plain,
% 13.99/9.13 ((~(v105(constB5) <=> v26(constB5))) | (~v105(constB5))),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2087, 2086])).
% 13.99/9.13 tff(2089,plain,
% 13.99/9.13 (~v105(constB5)),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2088, 2084])).
% 13.99/9.13 tff(2090,plain,
% 13.99/9.13 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB5) | (~(((~v121(constB5, 2)) <=> v124(constB5, 2)) | ((~v121(constB5, 0)) <=> v124(constB5, 0)) | ((~v121(constB5, 1)) <=> v124(constB5, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB5) | (~(((~v121(constB5, 2)) <=> v124(constB5, 2)) | ((~v121(constB5, 0)) <=> v124(constB5, 0)) | ((~v121(constB5, 1)) <=> v124(constB5, 1)))))),
% 13.99/9.13 inference(rewrite,[status(thm)],[])).
% 13.99/9.13 tff(2091,plain,
% 13.99/9.13 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB5) | (~(((~v121(constB5, 2)) <=> v124(constB5, 2)) | ((~v121(constB5, 0)) <=> v124(constB5, 0)) | ((~v121(constB5, 1)) <=> v124(constB5, 1)))))),
% 13.99/9.13 inference(quant_inst,[status(thm)],[])).
% 13.99/9.13 tff(2092,plain,
% 13.99/9.13 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB5) | (~(((~v121(constB5, 2)) <=> v124(constB5, 2)) | ((~v121(constB5, 0)) <=> v124(constB5, 0)) | ((~v121(constB5, 1)) <=> v124(constB5, 1))))),
% 13.99/9.13 inference(modus_ponens,[status(thm)],[2091, 2090])).
% 13.99/9.13 tff(2093,plain,
% 13.99/9.13 (v105(constB5) | (~(((~v121(constB5, 2)) <=> v124(constB5, 2)) | ((~v121(constB5, 0)) <=> v124(constB5, 0)) | ((~v121(constB5, 1)) <=> v124(constB5, 1))))),
% 13.99/9.13 inference(unit_resolution,[status(thm)],[2092, 891])).
% 13.99/9.13 tff(2094,plain,
% 14.00/9.14 (~(((~v121(constB5, 2)) <=> v124(constB5, 2)) | ((~v121(constB5, 0)) <=> v124(constB5, 0)) | ((~v121(constB5, 1)) <=> v124(constB5, 1)))),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2093, 2089])).
% 14.00/9.14 tff(2095,plain,
% 14.00/9.14 ((((~v121(constB5, 2)) <=> v124(constB5, 2)) | ((~v121(constB5, 0)) <=> v124(constB5, 0)) | ((~v121(constB5, 1)) <=> v124(constB5, 1))) | (~((~v121(constB5, 2)) <=> v124(constB5, 2)))),
% 14.00/9.14 inference(tautology,[status(thm)],[])).
% 14.00/9.14 tff(2096,plain,
% 14.00/9.14 (~((~v121(constB5, 2)) <=> v124(constB5, 2))),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2095, 2094])).
% 14.00/9.14 tff(2097,plain,
% 14.00/9.14 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB5) <=> (~(v84(constB5, 0) | v84(constB5, 1) | v84(constB5, 2))))),
% 14.00/9.14 inference(quant_inst,[status(thm)],[])).
% 14.00/9.14 tff(2098,plain,
% 14.00/9.14 (v113(constB5) <=> (~(v84(constB5, 0) | v84(constB5, 1) | v84(constB5, 2)))),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2097, 1466])).
% 14.00/9.14 tff(2099,plain,
% 14.00/9.14 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 14.00/9.14 inference(rewrite,[status(thm)],[])).
% 14.00/9.14 tff(2100,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_4')).
% 14.00/9.14 tff(2101,plain,
% 14.00/9.14 (nextState(constB4, constB5)),
% 14.00/9.14 inference(modus_ponens,[status(thm)],[2100, 2099])).
% 14.00/9.14 tff(2102,plain,
% 14.00/9.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB4, constB5)) | (v94(constB5) <=> (~((~v95(constB5)) | (~v104(constB5))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB4, constB5)) | (v94(constB5) <=> (~((~v95(constB5)) | (~v104(constB5))))))),
% 14.00/9.14 inference(rewrite,[status(thm)],[])).
% 14.00/9.14 tff(2103,plain,
% 14.00/9.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB4, constB5)) | (v94(constB5) <=> (~((~v95(constB5)) | (~v104(constB5))))))),
% 14.00/9.14 inference(quant_inst,[status(thm)],[])).
% 14.00/9.14 tff(2104,plain,
% 14.00/9.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB4, constB5)) | (v94(constB5) <=> (~((~v95(constB5)) | (~v104(constB5)))))),
% 14.00/9.14 inference(modus_ponens,[status(thm)],[2103, 2102])).
% 14.00/9.14 tff(2105,plain,
% 14.00/9.14 (v94(constB5) <=> (~((~v95(constB5)) | (~v104(constB5))))),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2104, 2101, 770])).
% 14.00/9.14 tff(2106,plain,
% 14.00/9.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5))))))),
% 14.00/9.14 inference(rewrite,[status(thm)],[])).
% 14.00/9.14 tff(2107,plain,
% 14.00/9.14 (((~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v96(constB5)) | (~v1(constB5)))))) <=> ((~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5))))))),
% 14.00/9.14 inference(rewrite,[status(thm)],[])).
% 14.00/9.14 tff(2108,plain,
% 14.00/9.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v96(constB5)) | (~v1(constB5))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5)))))))),
% 14.00/9.14 inference(monotonicity,[status(thm)],[2107])).
% 14.00/9.14 tff(2109,plain,
% 14.00/9.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v96(constB5)) | (~v1(constB5))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5))))))),
% 14.00/9.14 inference(transitivity,[status(thm)],[2108, 2106])).
% 14.00/9.14 tff(2110,plain,
% 14.00/9.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v96(constB5)) | (~v1(constB5))))))),
% 14.00/9.14 inference(quant_inst,[status(thm)],[])).
% 14.00/9.14 tff(2111,plain,
% 14.00/9.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5)))))),
% 14.00/9.14 inference(modus_ponens,[status(thm)],[2110, 2109])).
% 14.00/9.14 tff(2112,plain,
% 14.00/9.14 (v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5))))),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2111, 2101, 790])).
% 14.00/9.14 tff(2113,plain,
% 14.00/9.14 ((~v1(constB5)) <=> (~v1(constB5))),
% 14.00/9.14 inference(rewrite,[status(thm)],[])).
% 14.00/9.14 tff(2114,axiom,(~v1(constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_5')).
% 14.00/9.14 tff(2115,plain,
% 14.00/9.14 (~v1(constB5)),
% 14.00/9.14 inference(modus_ponens,[status(thm)],[2114, 2113])).
% 14.00/9.14 tff(2116,plain,
% 14.00/9.14 (((~v1(constB5)) | (~v96(constB5))) | v1(constB5)),
% 14.00/9.14 inference(tautology,[status(thm)],[])).
% 14.00/9.14 tff(2117,plain,
% 14.00/9.14 ((~v1(constB5)) | (~v96(constB5))),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2116, 2115])).
% 14.00/9.14 tff(2118,plain,
% 14.00/9.14 ((~(v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5)))))) | (~v95(constB5)) | (~((~v1(constB5)) | (~v96(constB5))))),
% 14.00/9.14 inference(tautology,[status(thm)],[])).
% 14.00/9.14 tff(2119,plain,
% 14.00/9.14 ((~(v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5)))))) | (~v95(constB5))),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2118, 2117])).
% 14.00/9.14 tff(2120,plain,
% 14.00/9.14 (~v95(constB5)),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2119, 2112])).
% 14.00/9.14 tff(2121,plain,
% 14.00/9.14 (((~v95(constB5)) | (~v104(constB5))) | v95(constB5)),
% 14.00/9.14 inference(tautology,[status(thm)],[])).
% 14.00/9.14 tff(2122,plain,
% 14.00/9.14 ((~v95(constB5)) | (~v104(constB5))),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2121, 2120])).
% 14.00/9.14 tff(2123,plain,
% 14.00/9.14 ((~(v94(constB5) <=> (~((~v95(constB5)) | (~v104(constB5)))))) | (~v94(constB5)) | (~((~v95(constB5)) | (~v104(constB5))))),
% 14.00/9.14 inference(tautology,[status(thm)],[])).
% 14.00/9.14 tff(2124,plain,
% 14.00/9.14 (~v94(constB5)),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2123, 2122, 2105])).
% 14.00/9.14 tff(2125,plain,
% 14.00/9.14 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB5) | (~nextState(constB4, constB5)) | (~(((~v84(constB5, 1)) <=> v84(constB4, 1)) | ((~v84(constB5, 2)) <=> v84(constB4, 2)) | ((~v84(constB5, 0)) <=> v84(constB4, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB5) | (~nextState(constB4, constB5)) | (~(((~v84(constB5, 1)) <=> v84(constB4, 1)) | ((~v84(constB5, 2)) <=> v84(constB4, 2)) | ((~v84(constB5, 0)) <=> v84(constB4, 0)))))),
% 14.00/9.14 inference(rewrite,[status(thm)],[])).
% 14.00/9.14 tff(2126,plain,
% 14.00/9.14 ((v94(constB5) | (~nextState(constB4, constB5)) | (~(((~v84(constB5, 2)) <=> v84(constB4, 2)) | ((~v84(constB5, 1)) <=> v84(constB4, 1)) | ((~v84(constB5, 0)) <=> v84(constB4, 0))))) <=> (v94(constB5) | (~nextState(constB4, constB5)) | (~(((~v84(constB5, 1)) <=> v84(constB4, 1)) | ((~v84(constB5, 2)) <=> v84(constB4, 2)) | ((~v84(constB5, 0)) <=> v84(constB4, 0)))))),
% 14.00/9.14 inference(rewrite,[status(thm)],[])).
% 14.00/9.14 tff(2127,plain,
% 14.00/9.14 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB5) | (~nextState(constB4, constB5)) | (~(((~v84(constB5, 2)) <=> v84(constB4, 2)) | ((~v84(constB5, 1)) <=> v84(constB4, 1)) | ((~v84(constB5, 0)) <=> v84(constB4, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB5) | (~nextState(constB4, constB5)) | (~(((~v84(constB5, 1)) <=> v84(constB4, 1)) | ((~v84(constB5, 2)) <=> v84(constB4, 2)) | ((~v84(constB5, 0)) <=> v84(constB4, 0))))))),
% 14.00/9.14 inference(monotonicity,[status(thm)],[2126])).
% 14.00/9.14 tff(2128,plain,
% 14.00/9.14 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB5) | (~nextState(constB4, constB5)) | (~(((~v84(constB5, 2)) <=> v84(constB4, 2)) | ((~v84(constB5, 1)) <=> v84(constB4, 1)) | ((~v84(constB5, 0)) <=> v84(constB4, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB5) | (~nextState(constB4, constB5)) | (~(((~v84(constB5, 1)) <=> v84(constB4, 1)) | ((~v84(constB5, 2)) <=> v84(constB4, 2)) | ((~v84(constB5, 0)) <=> v84(constB4, 0)))))),
% 14.00/9.14 inference(transitivity,[status(thm)],[2127, 2125])).
% 14.00/9.14 tff(2129,plain,
% 14.00/9.14 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB5) | (~nextState(constB4, constB5)) | (~(((~v84(constB5, 2)) <=> v84(constB4, 2)) | ((~v84(constB5, 1)) <=> v84(constB4, 1)) | ((~v84(constB5, 0)) <=> v84(constB4, 0)))))),
% 14.00/9.14 inference(quant_inst,[status(thm)],[])).
% 14.00/9.14 tff(2130,plain,
% 14.00/9.14 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB5) | (~nextState(constB4, constB5)) | (~(((~v84(constB5, 1)) <=> v84(constB4, 1)) | ((~v84(constB5, 2)) <=> v84(constB4, 2)) | ((~v84(constB5, 0)) <=> v84(constB4, 0))))),
% 14.00/9.14 inference(modus_ponens,[status(thm)],[2129, 2128])).
% 14.00/9.14 tff(2131,plain,
% 14.00/9.14 (v94(constB5) | (~(((~v84(constB5, 1)) <=> v84(constB4, 1)) | ((~v84(constB5, 2)) <=> v84(constB4, 2)) | ((~v84(constB5, 0)) <=> v84(constB4, 0))))),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2130, 2101, 819])).
% 14.00/9.14 tff(2132,plain,
% 14.00/9.14 (~(((~v84(constB5, 1)) <=> v84(constB4, 1)) | ((~v84(constB5, 2)) <=> v84(constB4, 2)) | ((~v84(constB5, 0)) <=> v84(constB4, 0)))),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2131, 2124])).
% 14.00/9.14 tff(2133,plain,
% 14.00/9.14 ((((~v84(constB5, 1)) <=> v84(constB4, 1)) | ((~v84(constB5, 2)) <=> v84(constB4, 2)) | ((~v84(constB5, 0)) <=> v84(constB4, 0))) | (~((~v84(constB5, 2)) <=> v84(constB4, 2)))),
% 14.00/9.14 inference(tautology,[status(thm)],[])).
% 14.00/9.14 tff(2134,plain,
% 14.00/9.14 (~((~v84(constB5, 2)) <=> v84(constB4, 2))),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2133, 2132])).
% 14.00/9.14 tff(2135,plain,
% 14.00/9.14 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 14.00/9.14 inference(rewrite,[status(thm)],[])).
% 14.00/9.14 tff(2136,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_3')).
% 14.00/9.14 tff(2137,plain,
% 14.00/9.14 (nextState(constB3, constB4)),
% 14.00/9.14 inference(modus_ponens,[status(thm)],[2136, 2135])).
% 14.00/9.14 tff(2138,plain,
% 14.00/9.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB3, constB4)) | (~(((~v123(constB4, 2)) <=> v121(constB3, 2)) | ((~v123(constB4, 1)) <=> v121(constB3, 1)) | ((~v123(constB4, 0)) <=> v121(constB3, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB3, constB4)) | (~(((~v123(constB4, 2)) <=> v121(constB3, 2)) | ((~v123(constB4, 1)) <=> v121(constB3, 1)) | ((~v123(constB4, 0)) <=> v121(constB3, 0)))))),
% 14.00/9.14 inference(rewrite,[status(thm)],[])).
% 14.00/9.14 tff(2139,plain,
% 14.00/9.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB3, constB4)) | (~(((~v123(constB4, 2)) <=> v121(constB3, 2)) | ((~v123(constB4, 1)) <=> v121(constB3, 1)) | ((~v123(constB4, 0)) <=> v121(constB3, 0)))))),
% 14.00/9.14 inference(quant_inst,[status(thm)],[])).
% 14.00/9.14 tff(2140,plain,
% 14.00/9.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB3, constB4)) | (~(((~v123(constB4, 2)) <=> v121(constB3, 2)) | ((~v123(constB4, 1)) <=> v121(constB3, 1)) | ((~v123(constB4, 0)) <=> v121(constB3, 0))))),
% 14.00/9.14 inference(modus_ponens,[status(thm)],[2139, 2138])).
% 14.00/9.14 tff(2141,plain,
% 14.00/9.14 (~(((~v123(constB4, 2)) <=> v121(constB3, 2)) | ((~v123(constB4, 1)) <=> v121(constB3, 1)) | ((~v123(constB4, 0)) <=> v121(constB3, 0)))),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2140, 2137, 842])).
% 14.00/9.14 tff(2142,plain,
% 14.00/9.14 ((((~v123(constB4, 2)) <=> v121(constB3, 2)) | ((~v123(constB4, 1)) <=> v121(constB3, 1)) | ((~v123(constB4, 0)) <=> v121(constB3, 0))) | (~((~v123(constB4, 2)) <=> v121(constB3, 2)))),
% 14.00/9.14 inference(tautology,[status(thm)],[])).
% 14.00/9.14 tff(2143,plain,
% 14.00/9.14 (~((~v123(constB4, 2)) <=> v121(constB3, 2))),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2142, 2141])).
% 14.00/9.14 tff(2144,plain,
% 14.00/9.14 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB3) <=> v26(constB3))),
% 14.00/9.14 inference(quant_inst,[status(thm)],[])).
% 14.00/9.14 tff(2145,plain,
% 14.00/9.14 (v105(constB3) <=> v26(constB3)),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2144, 861])).
% 14.00/9.14 tff(2146,plain,
% 14.00/9.14 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB3))),
% 14.00/9.14 inference(quant_inst,[status(thm)],[])).
% 14.00/9.14 tff(2147,plain,
% 14.00/9.14 (~v26(constB3)),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2146, 873])).
% 14.00/9.14 tff(2148,plain,
% 14.00/9.14 ((~(v105(constB3) <=> v26(constB3))) | (~v105(constB3)) | v26(constB3)),
% 14.00/9.14 inference(tautology,[status(thm)],[])).
% 14.00/9.14 tff(2149,plain,
% 14.00/9.14 ((~(v105(constB3) <=> v26(constB3))) | (~v105(constB3))),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2148, 2147])).
% 14.00/9.14 tff(2150,plain,
% 14.00/9.14 (~v105(constB3)),
% 14.00/9.14 inference(unit_resolution,[status(thm)],[2149, 2145])).
% 14.00/9.14 tff(2151,plain,
% 14.00/9.14 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB3) | (~(((~v121(constB3, 2)) <=> v124(constB3, 2)) | ((~v121(constB3, 0)) <=> v124(constB3, 0)) | ((~v121(constB3, 1)) <=> v124(constB3, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB3) | (~(((~v121(constB3, 2)) <=> v124(constB3, 2)) | ((~v121(constB3, 0)) <=> v124(constB3, 0)) | ((~v121(constB3, 1)) <=> v124(constB3, 1)))))),
% 14.00/9.14 inference(rewrite,[status(thm)],[])).
% 14.00/9.14 tff(2152,plain,
% 14.00/9.14 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB3) | (~(((~v121(constB3, 2)) <=> v124(constB3, 2)) | ((~v121(constB3, 0)) <=> v124(constB3, 0)) | ((~v121(constB3, 1)) <=> v124(constB3, 1)))))),
% 14.00/9.15 inference(quant_inst,[status(thm)],[])).
% 14.00/9.15 tff(2153,plain,
% 14.00/9.15 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB3) | (~(((~v121(constB3, 2)) <=> v124(constB3, 2)) | ((~v121(constB3, 0)) <=> v124(constB3, 0)) | ((~v121(constB3, 1)) <=> v124(constB3, 1))))),
% 14.00/9.15 inference(modus_ponens,[status(thm)],[2152, 2151])).
% 14.00/9.15 tff(2154,plain,
% 14.00/9.15 (v105(constB3) | (~(((~v121(constB3, 2)) <=> v124(constB3, 2)) | ((~v121(constB3, 0)) <=> v124(constB3, 0)) | ((~v121(constB3, 1)) <=> v124(constB3, 1))))),
% 14.00/9.15 inference(unit_resolution,[status(thm)],[2153, 891])).
% 14.00/9.15 tff(2155,plain,
% 14.00/9.15 (~(((~v121(constB3, 2)) <=> v124(constB3, 2)) | ((~v121(constB3, 0)) <=> v124(constB3, 0)) | ((~v121(constB3, 1)) <=> v124(constB3, 1)))),
% 14.00/9.15 inference(unit_resolution,[status(thm)],[2154, 2150])).
% 14.00/9.15 tff(2156,plain,
% 14.00/9.15 ((((~v121(constB3, 2)) <=> v124(constB3, 2)) | ((~v121(constB3, 0)) <=> v124(constB3, 0)) | ((~v121(constB3, 1)) <=> v124(constB3, 1))) | (~((~v121(constB3, 2)) <=> v124(constB3, 2)))),
% 14.00/9.15 inference(tautology,[status(thm)],[])).
% 14.00/9.15 tff(2157,plain,
% 14.00/9.15 (~((~v121(constB3, 2)) <=> v124(constB3, 2))),
% 14.00/9.15 inference(unit_resolution,[status(thm)],[2156, 2155])).
% 14.00/9.15 tff(2158,plain,
% 14.00/9.15 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB3) <=> (~(v84(constB3, 1) | v84(constB3, 0) | (~v84(constB3, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB3) <=> (~(v84(constB3, 1) | v84(constB3, 0) | (~v84(constB3, 2))))))),
% 14.00/9.15 inference(rewrite,[status(thm)],[])).
% 14.00/9.15 tff(2159,plain,
% 14.00/9.15 ((v117(constB3) <=> (~(v84(constB3, 0) | v84(constB3, 1) | (~v84(constB3, 2))))) <=> (v117(constB3) <=> (~(v84(constB3, 1) | v84(constB3, 0) | (~v84(constB3, 2)))))),
% 14.00/9.15 inference(rewrite,[status(thm)],[])).
% 14.00/9.15 tff(2160,plain,
% 14.00/9.15 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB3) <=> (~(v84(constB3, 0) | v84(constB3, 1) | (~v84(constB3, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB3) <=> (~(v84(constB3, 1) | v84(constB3, 0) | (~v84(constB3, 2))))))),
% 14.00/9.15 inference(monotonicity,[status(thm)],[2159])).
% 14.00/9.15 tff(2161,plain,
% 14.00/9.15 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB3) <=> (~(v84(constB3, 0) | v84(constB3, 1) | (~v84(constB3, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB3) <=> (~(v84(constB3, 1) | v84(constB3, 0) | (~v84(constB3, 2))))))),
% 14.00/9.15 inference(transitivity,[status(thm)],[2160, 2158])).
% 14.00/9.15 tff(2162,plain,
% 14.00/9.15 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB3) <=> (~(v84(constB3, 0) | v84(constB3, 1) | (~v84(constB3, 2)))))),
% 14.00/9.15 inference(quant_inst,[status(thm)],[])).
% 14.00/9.15 tff(2163,plain,
% 14.00/9.15 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB3) <=> (~(v84(constB3, 1) | v84(constB3, 0) | (~v84(constB3, 2)))))),
% 14.00/9.15 inference(modus_ponens,[status(thm)],[2162, 2161])).
% 14.00/9.15 tff(2164,plain,
% 14.00/9.15 (v117(constB3) <=> (~(v84(constB3, 1) | v84(constB3, 0) | (~v84(constB3, 2))))),
% 14.00/9.15 inference(unit_resolution,[status(thm)],[2163, 1199])).
% 14.00/9.15 tff(2165,plain,
% 14.00/9.15 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 14.00/9.15 inference(rewrite,[status(thm)],[])).
% 14.00/9.15 tff(2166,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_2')).
% 14.00/9.15 tff(2167,plain,
% 14.00/9.15 (nextState(constB2, constB3)),
% 14.00/9.15 inference(modus_ponens,[status(thm)],[2166, 2165])).
% 14.00/9.15 tff(2168,plain,
% 14.00/9.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB2, constB3)) | (v94(constB3) <=> (~((~v95(constB3)) | (~v104(constB3))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB2, constB3)) | (v94(constB3) <=> (~((~v95(constB3)) | (~v104(constB3))))))),
% 14.00/9.15 inference(rewrite,[status(thm)],[])).
% 14.00/9.15 tff(2169,plain,
% 14.00/9.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB2, constB3)) | (v94(constB3) <=> (~((~v95(constB3)) | (~v104(constB3))))))),
% 14.00/9.15 inference(quant_inst,[status(thm)],[])).
% 14.00/9.15 tff(2170,plain,
% 14.00/9.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB2, constB3)) | (v94(constB3) <=> (~((~v95(constB3)) | (~v104(constB3)))))),
% 14.00/9.15 inference(modus_ponens,[status(thm)],[2169, 2168])).
% 14.00/9.15 tff(2171,plain,
% 14.00/9.15 (v94(constB3) <=> (~((~v95(constB3)) | (~v104(constB3))))),
% 14.00/9.15 inference(unit_resolution,[status(thm)],[2170, 2167, 770])).
% 14.00/9.15 tff(2172,plain,
% 14.00/9.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3))))))),
% 14.00/9.15 inference(rewrite,[status(thm)],[])).
% 14.00/9.15 tff(2173,plain,
% 14.00/9.15 (((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v96(constB3)) | (~v1(constB3)))))) <=> ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3))))))),
% 14.00/9.15 inference(rewrite,[status(thm)],[])).
% 14.00/9.15 tff(2174,plain,
% 14.00/9.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v96(constB3)) | (~v1(constB3))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3)))))))),
% 14.00/9.15 inference(monotonicity,[status(thm)],[2173])).
% 14.00/9.15 tff(2175,plain,
% 14.00/9.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v96(constB3)) | (~v1(constB3))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3))))))),
% 14.00/9.15 inference(transitivity,[status(thm)],[2174, 2172])).
% 14.00/9.15 tff(2176,plain,
% 14.00/9.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v96(constB3)) | (~v1(constB3))))))),
% 14.00/9.15 inference(quant_inst,[status(thm)],[])).
% 14.00/9.15 tff(2177,plain,
% 14.00/9.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3)))))),
% 14.00/9.15 inference(modus_ponens,[status(thm)],[2176, 2175])).
% 14.00/9.15 tff(2178,plain,
% 14.00/9.15 (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3))))),
% 14.00/9.15 inference(unit_resolution,[status(thm)],[2177, 2167, 790])).
% 14.00/9.15 tff(2179,plain,
% 14.00/9.15 ((~v1(constB3)) <=> (~v1(constB3))),
% 14.00/9.15 inference(rewrite,[status(thm)],[])).
% 14.00/9.15 tff(2180,axiom,(~v1(constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_3')).
% 14.00/9.15 tff(2181,plain,
% 14.00/9.15 (~v1(constB3)),
% 14.00/9.15 inference(modus_ponens,[status(thm)],[2180, 2179])).
% 14.00/9.15 tff(2182,plain,
% 14.00/9.15 (((~v1(constB3)) | (~v96(constB3))) | v1(constB3)),
% 14.00/9.15 inference(tautology,[status(thm)],[])).
% 14.00/9.15 tff(2183,plain,
% 14.00/9.15 ((~v1(constB3)) | (~v96(constB3))),
% 14.00/9.15 inference(unit_resolution,[status(thm)],[2182, 2181])).
% 14.00/9.15 tff(2184,plain,
% 14.00/9.15 ((~(v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3)))))) | (~v95(constB3)) | (~((~v1(constB3)) | (~v96(constB3))))),
% 14.00/9.15 inference(tautology,[status(thm)],[])).
% 14.00/9.15 tff(2185,plain,
% 14.00/9.15 ((~(v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3)))))) | (~v95(constB3))),
% 14.00/9.15 inference(unit_resolution,[status(thm)],[2184, 2183])).
% 14.00/9.15 tff(2186,plain,
% 14.00/9.15 (~v95(constB3)),
% 14.00/9.15 inference(unit_resolution,[status(thm)],[2185, 2178])).
% 14.00/9.15 tff(2187,plain,
% 14.00/9.15 (((~v95(constB3)) | (~v104(constB3))) | v95(constB3)),
% 14.00/9.15 inference(tautology,[status(thm)],[])).
% 14.00/9.15 tff(2188,plain,
% 14.00/9.15 ((~v95(constB3)) | (~v104(constB3))),
% 14.00/9.15 inference(unit_resolution,[status(thm)],[2187, 2186])).
% 14.00/9.15 tff(2189,plain,
% 14.00/9.15 ((~(v94(constB3) <=> (~((~v95(constB3)) | (~v104(constB3)))))) | (~v94(constB3)) | (~((~v95(constB3)) | (~v104(constB3))))),
% 14.00/9.15 inference(tautology,[status(thm)],[])).
% 14.00/9.15 tff(2190,plain,
% 14.00/9.15 (~v94(constB3)),
% 14.00/9.15 inference(unit_resolution,[status(thm)],[2189, 2188, 2171])).
% 14.00/9.15 tff(2191,plain,
% 14.00/9.15 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB3) | (~nextState(constB2, constB3)) | (~(((~v84(constB3, 1)) <=> v84(constB2, 1)) | ((~v84(constB3, 2)) <=> v84(constB2, 2)) | ((~v84(constB3, 0)) <=> v84(constB2, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB3) | (~nextState(constB2, constB3)) | (~(((~v84(constB3, 1)) <=> v84(constB2, 1)) | ((~v84(constB3, 2)) <=> v84(constB2, 2)) | ((~v84(constB3, 0)) <=> v84(constB2, 0)))))),
% 14.00/9.15 inference(rewrite,[status(thm)],[])).
% 14.00/9.15 tff(2192,plain,
% 14.00/9.15 ((v94(constB3) | (~nextState(constB2, constB3)) | (~(((~v84(constB3, 2)) <=> v84(constB2, 2)) | ((~v84(constB3, 1)) <=> v84(constB2, 1)) | ((~v84(constB3, 0)) <=> v84(constB2, 0))))) <=> (v94(constB3) | (~nextState(constB2, constB3)) | (~(((~v84(constB3, 1)) <=> v84(constB2, 1)) | ((~v84(constB3, 2)) <=> v84(constB2, 2)) | ((~v84(constB3, 0)) <=> v84(constB2, 0)))))),
% 14.00/9.15 inference(rewrite,[status(thm)],[])).
% 14.00/9.15 tff(2193,plain,
% 14.00/9.15 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB3) | (~nextState(constB2, constB3)) | (~(((~v84(constB3, 2)) <=> v84(constB2, 2)) | ((~v84(constB3, 1)) <=> v84(constB2, 1)) | ((~v84(constB3, 0)) <=> v84(constB2, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB3) | (~nextState(constB2, constB3)) | (~(((~v84(constB3, 1)) <=> v84(constB2, 1)) | ((~v84(constB3, 2)) <=> v84(constB2, 2)) | ((~v84(constB3, 0)) <=> v84(constB2, 0))))))),
% 14.00/9.15 inference(monotonicity,[status(thm)],[2192])).
% 14.00/9.15 tff(2194,plain,
% 14.00/9.15 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB3) | (~nextState(constB2, constB3)) | (~(((~v84(constB3, 2)) <=> v84(constB2, 2)) | ((~v84(constB3, 1)) <=> v84(constB2, 1)) | ((~v84(constB3, 0)) <=> v84(constB2, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB3) | (~nextState(constB2, constB3)) | (~(((~v84(constB3, 1)) <=> v84(constB2, 1)) | ((~v84(constB3, 2)) <=> v84(constB2, 2)) | ((~v84(constB3, 0)) <=> v84(constB2, 0)))))),
% 14.00/9.15 inference(transitivity,[status(thm)],[2193, 2191])).
% 14.00/9.15 tff(2195,plain,
% 14.00/9.15 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB3) | (~nextState(constB2, constB3)) | (~(((~v84(constB3, 2)) <=> v84(constB2, 2)) | ((~v84(constB3, 1)) <=> v84(constB2, 1)) | ((~v84(constB3, 0)) <=> v84(constB2, 0)))))),
% 14.00/9.15 inference(quant_inst,[status(thm)],[])).
% 14.00/9.15 tff(2196,plain,
% 14.00/9.15 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB3) | (~nextState(constB2, constB3)) | (~(((~v84(constB3, 1)) <=> v84(constB2, 1)) | ((~v84(constB3, 2)) <=> v84(constB2, 2)) | ((~v84(constB3, 0)) <=> v84(constB2, 0))))),
% 14.00/9.15 inference(modus_ponens,[status(thm)],[2195, 2194])).
% 14.00/9.15 tff(2197,plain,
% 14.00/9.15 (v94(constB3) | (~(((~v84(constB3, 1)) <=> v84(constB2, 1)) | ((~v84(constB3, 2)) <=> v84(constB2, 2)) | ((~v84(constB3, 0)) <=> v84(constB2, 0))))),
% 14.00/9.15 inference(unit_resolution,[status(thm)],[2196, 2167, 819])).
% 14.00/9.15 tff(2198,plain,
% 14.00/9.15 (~(((~v84(constB3, 1)) <=> v84(constB2, 1)) | ((~v84(constB3, 2)) <=> v84(constB2, 2)) | ((~v84(constB3, 0)) <=> v84(constB2, 0)))),
% 14.00/9.15 inference(unit_resolution,[status(thm)],[2197, 2190])).
% 14.00/9.15 tff(2199,plain,
% 14.00/9.15 ((((~v84(constB3, 1)) <=> v84(constB2, 1)) | ((~v84(constB3, 2)) <=> v84(constB2, 2)) | ((~v84(constB3, 0)) <=> v84(constB2, 0))) | (~((~v84(constB3, 2)) <=> v84(constB2, 2)))),
% 14.00/9.15 inference(tautology,[status(thm)],[])).
% 14.00/9.15 tff(2200,plain,
% 14.00/9.15 (~((~v84(constB3, 2)) <=> v84(constB2, 2))),
% 14.00/9.15 inference(unit_resolution,[status(thm)],[2199, 2198])).
% 14.00/9.15 tff(2201,plain,
% 14.00/9.15 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 14.00/9.15 inference(rewrite,[status(thm)],[])).
% 14.00/9.15 tff(2202,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_1')).
% 14.00/9.15 tff(2203,plain,
% 14.00/9.15 (nextState(constB1, constB2)),
% 14.00/9.15 inference(modus_ponens,[status(thm)],[2202, 2201])).
% 14.00/9.15 tff(2204,plain,
% 14.00/9.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB1, constB2)) | (~(((~v123(constB2, 2)) <=> v121(constB1, 2)) | ((~v123(constB2, 1)) <=> v121(constB1, 1)) | ((~v123(constB2, 0)) <=> v121(constB1, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB1, constB2)) | (~(((~v123(constB2, 2)) <=> v121(constB1, 2)) | ((~v123(constB2, 1)) <=> v121(constB1, 1)) | ((~v123(constB2, 0)) <=> v121(constB1, 0)))))),
% 14.00/9.15 inference(rewrite,[status(thm)],[])).
% 14.00/9.15 tff(2205,plain,
% 14.00/9.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB1, constB2)) | (~(((~v123(constB2, 2)) <=> v121(constB1, 2)) | ((~v123(constB2, 1)) <=> v121(constB1, 1)) | ((~v123(constB2, 0)) <=> v121(constB1, 0)))))),
% 14.00/9.15 inference(quant_inst,[status(thm)],[])).
% 14.00/9.15 tff(2206,plain,
% 14.00/9.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB1, constB2)) | (~(((~v123(constB2, 2)) <=> v121(constB1, 2)) | ((~v123(constB2, 1)) <=> v121(constB1, 1)) | ((~v123(constB2, 0)) <=> v121(constB1, 0))))),
% 14.00/9.16 inference(modus_ponens,[status(thm)],[2205, 2204])).
% 14.00/9.16 tff(2207,plain,
% 14.00/9.16 (~(((~v123(constB2, 2)) <=> v121(constB1, 2)) | ((~v123(constB2, 1)) <=> v121(constB1, 1)) | ((~v123(constB2, 0)) <=> v121(constB1, 0)))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2206, 2203, 842])).
% 14.00/9.16 tff(2208,plain,
% 14.00/9.16 ((((~v123(constB2, 2)) <=> v121(constB1, 2)) | ((~v123(constB2, 1)) <=> v121(constB1, 1)) | ((~v123(constB2, 0)) <=> v121(constB1, 0))) | (~((~v123(constB2, 2)) <=> v121(constB1, 2)))),
% 14.00/9.16 inference(tautology,[status(thm)],[])).
% 14.00/9.16 tff(2209,plain,
% 14.00/9.16 (~((~v123(constB2, 2)) <=> v121(constB1, 2))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2208, 2207])).
% 14.00/9.16 tff(2210,plain,
% 14.00/9.16 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB1) <=> v26(constB1))),
% 14.00/9.16 inference(quant_inst,[status(thm)],[])).
% 14.00/9.16 tff(2211,plain,
% 14.00/9.16 (v105(constB1) <=> v26(constB1)),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2210, 861])).
% 14.00/9.16 tff(2212,plain,
% 14.00/9.16 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB1))),
% 14.00/9.16 inference(quant_inst,[status(thm)],[])).
% 14.00/9.16 tff(2213,plain,
% 14.00/9.16 (~v26(constB1)),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2212, 873])).
% 14.00/9.16 tff(2214,plain,
% 14.00/9.16 ((~(v105(constB1) <=> v26(constB1))) | (~v105(constB1)) | v26(constB1)),
% 14.00/9.16 inference(tautology,[status(thm)],[])).
% 14.00/9.16 tff(2215,plain,
% 14.00/9.16 ((~(v105(constB1) <=> v26(constB1))) | (~v105(constB1))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2214, 2213])).
% 14.00/9.16 tff(2216,plain,
% 14.00/9.16 (~v105(constB1)),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2215, 2211])).
% 14.00/9.16 tff(2217,plain,
% 14.00/9.16 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB1) | (~(((~v121(constB1, 2)) <=> v124(constB1, 2)) | ((~v121(constB1, 0)) <=> v124(constB1, 0)) | ((~v121(constB1, 1)) <=> v124(constB1, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB1) | (~(((~v121(constB1, 2)) <=> v124(constB1, 2)) | ((~v121(constB1, 0)) <=> v124(constB1, 0)) | ((~v121(constB1, 1)) <=> v124(constB1, 1)))))),
% 14.00/9.16 inference(rewrite,[status(thm)],[])).
% 14.00/9.16 tff(2218,plain,
% 14.00/9.16 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB1) | (~(((~v121(constB1, 2)) <=> v124(constB1, 2)) | ((~v121(constB1, 0)) <=> v124(constB1, 0)) | ((~v121(constB1, 1)) <=> v124(constB1, 1)))))),
% 14.00/9.16 inference(quant_inst,[status(thm)],[])).
% 14.00/9.16 tff(2219,plain,
% 14.00/9.16 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB1) | (~(((~v121(constB1, 2)) <=> v124(constB1, 2)) | ((~v121(constB1, 0)) <=> v124(constB1, 0)) | ((~v121(constB1, 1)) <=> v124(constB1, 1))))),
% 14.00/9.16 inference(modus_ponens,[status(thm)],[2218, 2217])).
% 14.00/9.16 tff(2220,plain,
% 14.00/9.16 (v105(constB1) | (~(((~v121(constB1, 2)) <=> v124(constB1, 2)) | ((~v121(constB1, 0)) <=> v124(constB1, 0)) | ((~v121(constB1, 1)) <=> v124(constB1, 1))))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2219, 891])).
% 14.00/9.16 tff(2221,plain,
% 14.00/9.16 (~(((~v121(constB1, 2)) <=> v124(constB1, 2)) | ((~v121(constB1, 0)) <=> v124(constB1, 0)) | ((~v121(constB1, 1)) <=> v124(constB1, 1)))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2220, 2216])).
% 14.00/9.16 tff(2222,plain,
% 14.00/9.16 ((((~v121(constB1, 2)) <=> v124(constB1, 2)) | ((~v121(constB1, 0)) <=> v124(constB1, 0)) | ((~v121(constB1, 1)) <=> v124(constB1, 1))) | (~((~v121(constB1, 2)) <=> v124(constB1, 2)))),
% 14.00/9.16 inference(tautology,[status(thm)],[])).
% 14.00/9.16 tff(2223,plain,
% 14.00/9.16 (~((~v121(constB1, 2)) <=> v124(constB1, 2))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2222, 2221])).
% 14.00/9.16 tff(2224,plain,
% 14.00/9.16 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB1) <=> (~(v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2))))),
% 14.00/9.16 inference(quant_inst,[status(thm)],[])).
% 14.00/9.16 tff(2225,plain,
% 14.00/9.16 (v113(constB1) <=> (~(v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2)))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2224, 1466])).
% 14.00/9.16 tff(2226,plain,
% 14.00/9.16 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 14.00/9.16 inference(rewrite,[status(thm)],[])).
% 14.00/9.16 tff(2227,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom')).
% 14.00/9.16 tff(2228,plain,
% 14.00/9.16 (nextState(constB0, constB1)),
% 14.00/9.16 inference(modus_ponens,[status(thm)],[2227, 2226])).
% 14.00/9.16 tff(2229,plain,
% 14.00/9.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB0, constB1)) | (v94(constB1) <=> (~((~v95(constB1)) | (~v104(constB1))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB0, constB1)) | (v94(constB1) <=> (~((~v95(constB1)) | (~v104(constB1))))))),
% 14.00/9.16 inference(rewrite,[status(thm)],[])).
% 14.00/9.16 tff(2230,plain,
% 14.00/9.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB0, constB1)) | (v94(constB1) <=> (~((~v95(constB1)) | (~v104(constB1))))))),
% 14.00/9.16 inference(quant_inst,[status(thm)],[])).
% 14.00/9.16 tff(2231,plain,
% 14.00/9.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB0, constB1)) | (v94(constB1) <=> (~((~v95(constB1)) | (~v104(constB1)))))),
% 14.00/9.16 inference(modus_ponens,[status(thm)],[2230, 2229])).
% 14.00/9.16 tff(2232,plain,
% 14.00/9.16 (v94(constB1) <=> (~((~v95(constB1)) | (~v104(constB1))))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2231, 2228, 770])).
% 14.00/9.16 tff(2233,plain,
% 14.00/9.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1))))))),
% 14.00/9.16 inference(rewrite,[status(thm)],[])).
% 14.00/9.16 tff(2234,plain,
% 14.00/9.16 (((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v96(constB1)) | (~v1(constB1)))))) <=> ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1))))))),
% 14.00/9.16 inference(rewrite,[status(thm)],[])).
% 14.00/9.16 tff(2235,plain,
% 14.00/9.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v96(constB1)) | (~v1(constB1))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1)))))))),
% 14.00/9.16 inference(monotonicity,[status(thm)],[2234])).
% 14.00/9.16 tff(2236,plain,
% 14.00/9.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v96(constB1)) | (~v1(constB1))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1))))))),
% 14.00/9.16 inference(transitivity,[status(thm)],[2235, 2233])).
% 14.00/9.16 tff(2237,plain,
% 14.00/9.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v96(constB1)) | (~v1(constB1))))))),
% 14.00/9.16 inference(quant_inst,[status(thm)],[])).
% 14.00/9.16 tff(2238,plain,
% 14.00/9.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1)))))),
% 14.00/9.16 inference(modus_ponens,[status(thm)],[2237, 2236])).
% 14.00/9.16 tff(2239,plain,
% 14.00/9.16 (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1))))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2238, 2228, 790])).
% 14.00/9.16 tff(2240,plain,
% 14.00/9.16 ((~v1(constB1)) <=> (~v1(constB1))),
% 14.00/9.16 inference(rewrite,[status(thm)],[])).
% 14.00/9.16 tff(2241,axiom,(~v1(constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_1')).
% 14.00/9.16 tff(2242,plain,
% 14.00/9.16 (~v1(constB1)),
% 14.00/9.16 inference(modus_ponens,[status(thm)],[2241, 2240])).
% 14.00/9.16 tff(2243,plain,
% 14.00/9.16 (((~v1(constB1)) | (~v96(constB1))) | v1(constB1)),
% 14.00/9.16 inference(tautology,[status(thm)],[])).
% 14.00/9.16 tff(2244,plain,
% 14.00/9.16 ((~v1(constB1)) | (~v96(constB1))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2243, 2242])).
% 14.00/9.16 tff(2245,plain,
% 14.00/9.16 ((~(v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1)))))) | (~v95(constB1)) | (~((~v1(constB1)) | (~v96(constB1))))),
% 14.00/9.16 inference(tautology,[status(thm)],[])).
% 14.00/9.16 tff(2246,plain,
% 14.00/9.16 ((~(v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1)))))) | (~v95(constB1))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2245, 2244])).
% 14.00/9.16 tff(2247,plain,
% 14.00/9.16 (~v95(constB1)),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2246, 2239])).
% 14.00/9.16 tff(2248,plain,
% 14.00/9.16 (((~v95(constB1)) | (~v104(constB1))) | v95(constB1)),
% 14.00/9.16 inference(tautology,[status(thm)],[])).
% 14.00/9.16 tff(2249,plain,
% 14.00/9.16 ((~v95(constB1)) | (~v104(constB1))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2248, 2247])).
% 14.00/9.16 tff(2250,plain,
% 14.00/9.16 ((~(v94(constB1) <=> (~((~v95(constB1)) | (~v104(constB1)))))) | (~v94(constB1)) | (~((~v95(constB1)) | (~v104(constB1))))),
% 14.00/9.16 inference(tautology,[status(thm)],[])).
% 14.00/9.16 tff(2251,plain,
% 14.00/9.16 (~v94(constB1)),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2250, 2249, 2232])).
% 14.00/9.16 tff(2252,plain,
% 14.00/9.16 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB1) | (~nextState(constB0, constB1)) | (~(((~v84(constB1, 0)) <=> v84(constB0, 0)) | ((~v84(constB1, 2)) <=> v84(constB0, 2)) | ((~v84(constB1, 1)) <=> v84(constB0, 1)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB1) | (~nextState(constB0, constB1)) | (~(((~v84(constB1, 0)) <=> v84(constB0, 0)) | ((~v84(constB1, 2)) <=> v84(constB0, 2)) | ((~v84(constB1, 1)) <=> v84(constB0, 1)))))),
% 14.00/9.16 inference(rewrite,[status(thm)],[])).
% 14.00/9.16 tff(2253,plain,
% 14.00/9.16 ((v94(constB1) | (~nextState(constB0, constB1)) | (~(((~v84(constB1, 2)) <=> v84(constB0, 2)) | ((~v84(constB1, 1)) <=> v84(constB0, 1)) | ((~v84(constB1, 0)) <=> v84(constB0, 0))))) <=> (v94(constB1) | (~nextState(constB0, constB1)) | (~(((~v84(constB1, 0)) <=> v84(constB0, 0)) | ((~v84(constB1, 2)) <=> v84(constB0, 2)) | ((~v84(constB1, 1)) <=> v84(constB0, 1)))))),
% 14.00/9.16 inference(rewrite,[status(thm)],[])).
% 14.00/9.16 tff(2254,plain,
% 14.00/9.16 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB1) | (~nextState(constB0, constB1)) | (~(((~v84(constB1, 2)) <=> v84(constB0, 2)) | ((~v84(constB1, 1)) <=> v84(constB0, 1)) | ((~v84(constB1, 0)) <=> v84(constB0, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB1) | (~nextState(constB0, constB1)) | (~(((~v84(constB1, 0)) <=> v84(constB0, 0)) | ((~v84(constB1, 2)) <=> v84(constB0, 2)) | ((~v84(constB1, 1)) <=> v84(constB0, 1))))))),
% 14.00/9.16 inference(monotonicity,[status(thm)],[2253])).
% 14.00/9.16 tff(2255,plain,
% 14.00/9.16 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB1) | (~nextState(constB0, constB1)) | (~(((~v84(constB1, 2)) <=> v84(constB0, 2)) | ((~v84(constB1, 1)) <=> v84(constB0, 1)) | ((~v84(constB1, 0)) <=> v84(constB0, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB1) | (~nextState(constB0, constB1)) | (~(((~v84(constB1, 0)) <=> v84(constB0, 0)) | ((~v84(constB1, 2)) <=> v84(constB0, 2)) | ((~v84(constB1, 1)) <=> v84(constB0, 1)))))),
% 14.00/9.16 inference(transitivity,[status(thm)],[2254, 2252])).
% 14.00/9.16 tff(2256,plain,
% 14.00/9.16 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB1) | (~nextState(constB0, constB1)) | (~(((~v84(constB1, 2)) <=> v84(constB0, 2)) | ((~v84(constB1, 1)) <=> v84(constB0, 1)) | ((~v84(constB1, 0)) <=> v84(constB0, 0)))))),
% 14.00/9.16 inference(quant_inst,[status(thm)],[])).
% 14.00/9.16 tff(2257,plain,
% 14.00/9.16 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB1) | (~nextState(constB0, constB1)) | (~(((~v84(constB1, 0)) <=> v84(constB0, 0)) | ((~v84(constB1, 2)) <=> v84(constB0, 2)) | ((~v84(constB1, 1)) <=> v84(constB0, 1))))),
% 14.00/9.16 inference(modus_ponens,[status(thm)],[2256, 2255])).
% 14.00/9.16 tff(2258,plain,
% 14.00/9.16 (v94(constB1) | (~(((~v84(constB1, 0)) <=> v84(constB0, 0)) | ((~v84(constB1, 2)) <=> v84(constB0, 2)) | ((~v84(constB1, 1)) <=> v84(constB0, 1))))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2257, 2228, 819])).
% 14.00/9.16 tff(2259,plain,
% 14.00/9.16 (~(((~v84(constB1, 0)) <=> v84(constB0, 0)) | ((~v84(constB1, 2)) <=> v84(constB0, 2)) | ((~v84(constB1, 1)) <=> v84(constB0, 1)))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2258, 2251])).
% 14.00/9.16 tff(2260,plain,
% 14.00/9.16 ((((~v84(constB1, 0)) <=> v84(constB0, 0)) | ((~v84(constB1, 2)) <=> v84(constB0, 2)) | ((~v84(constB1, 1)) <=> v84(constB0, 1))) | (~((~v84(constB1, 0)) <=> v84(constB0, 0)))),
% 14.00/9.16 inference(tautology,[status(thm)],[])).
% 14.00/9.16 tff(2261,plain,
% 14.00/9.16 (~((~v84(constB1, 0)) <=> v84(constB0, 0))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2260, 2259])).
% 14.00/9.16 tff(2262,plain,
% 14.00/9.16 ((~v84(constB0, 0)) <=> (~v84(constB0, 0))),
% 14.00/9.16 inference(rewrite,[status(thm)],[])).
% 14.00/9.16 tff(2263,axiom,(~v84(constB0, 0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_2')).
% 14.00/9.16 tff(2264,plain,
% 14.00/9.16 (~v84(constB0, 0)),
% 14.00/9.16 inference(modus_ponens,[status(thm)],[2263, 2262])).
% 14.00/9.16 tff(2265,plain,
% 14.00/9.16 (((~v84(constB1, 0)) <=> v84(constB0, 0)) | (~v84(constB1, 0)) | v84(constB0, 0)),
% 14.00/9.16 inference(tautology,[status(thm)],[])).
% 14.00/9.16 tff(2266,plain,
% 14.00/9.16 (((~v84(constB1, 0)) <=> v84(constB0, 0)) | (~v84(constB1, 0))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2265, 2264])).
% 14.00/9.16 tff(2267,plain,
% 14.00/9.16 (~v84(constB1, 0)),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2266, 2261])).
% 14.00/9.16 tff(2268,plain,
% 14.00/9.16 ((((~v84(constB1, 0)) <=> v84(constB0, 0)) | ((~v84(constB1, 2)) <=> v84(constB0, 2)) | ((~v84(constB1, 1)) <=> v84(constB0, 1))) | (~((~v84(constB1, 2)) <=> v84(constB0, 2)))),
% 14.00/9.16 inference(tautology,[status(thm)],[])).
% 14.00/9.16 tff(2269,plain,
% 14.00/9.16 (~((~v84(constB1, 2)) <=> v84(constB0, 2))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2268, 2259])).
% 14.00/9.16 tff(2270,plain,
% 14.00/9.16 ((~v84(constB0, 2)) <=> (~v84(constB0, 2))),
% 14.00/9.16 inference(rewrite,[status(thm)],[])).
% 14.00/9.16 tff(2271,axiom,(~v84(constB0, 2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_4')).
% 14.00/9.16 tff(2272,plain,
% 14.00/9.16 (~v84(constB0, 2)),
% 14.00/9.16 inference(modus_ponens,[status(thm)],[2271, 2270])).
% 14.00/9.16 tff(2273,plain,
% 14.00/9.16 (((~v84(constB1, 2)) <=> v84(constB0, 2)) | (~v84(constB1, 2)) | v84(constB0, 2)),
% 14.00/9.16 inference(tautology,[status(thm)],[])).
% 14.00/9.16 tff(2274,plain,
% 14.00/9.16 (((~v84(constB1, 2)) <=> v84(constB0, 2)) | (~v84(constB1, 2))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2273, 2272])).
% 14.00/9.16 tff(2275,plain,
% 14.00/9.16 (~v84(constB1, 2)),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2274, 2269])).
% 14.00/9.16 tff(2276,plain,
% 14.00/9.16 ((((~v84(constB1, 0)) <=> v84(constB0, 0)) | ((~v84(constB1, 2)) <=> v84(constB0, 2)) | ((~v84(constB1, 1)) <=> v84(constB0, 1))) | (~((~v84(constB1, 1)) <=> v84(constB0, 1)))),
% 14.00/9.16 inference(tautology,[status(thm)],[])).
% 14.00/9.16 tff(2277,plain,
% 14.00/9.16 (~((~v84(constB1, 1)) <=> v84(constB0, 1))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2276, 2259])).
% 14.00/9.16 tff(2278,plain,
% 14.00/9.16 ((~v84(constB0, 1)) <=> (~v84(constB0, 1))),
% 14.00/9.16 inference(rewrite,[status(thm)],[])).
% 14.00/9.16 tff(2279,axiom,(~v84(constB0, 1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_3')).
% 14.00/9.16 tff(2280,plain,
% 14.00/9.16 (~v84(constB0, 1)),
% 14.00/9.16 inference(modus_ponens,[status(thm)],[2279, 2278])).
% 14.00/9.16 tff(2281,plain,
% 14.00/9.16 (((~v84(constB1, 1)) <=> v84(constB0, 1)) | (~v84(constB1, 1)) | v84(constB0, 1)),
% 14.00/9.16 inference(tautology,[status(thm)],[])).
% 14.00/9.16 tff(2282,plain,
% 14.00/9.16 (((~v84(constB1, 1)) <=> v84(constB0, 1)) | (~v84(constB1, 1))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2281, 2280])).
% 14.00/9.16 tff(2283,plain,
% 14.00/9.16 (~v84(constB1, 1)),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2282, 2277])).
% 14.00/9.16 tff(2284,plain,
% 14.00/9.16 ((~(v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2))) | v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2)),
% 14.00/9.16 inference(tautology,[status(thm)],[])).
% 14.00/9.16 tff(2285,plain,
% 14.00/9.16 (~(v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2))),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2284, 2283, 2275, 2267])).
% 14.00/9.16 tff(2286,plain,
% 14.00/9.16 ((~(v113(constB1) <=> (~(v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2))))) | v113(constB1) | (v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2))),
% 14.00/9.16 inference(tautology,[status(thm)],[])).
% 14.00/9.16 tff(2287,plain,
% 14.00/9.16 ((~(v113(constB1) <=> (~(v84(constB1, 0) | v84(constB1, 1) | v84(constB1, 2))))) | v113(constB1)),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2286, 2285])).
% 14.00/9.16 tff(2288,plain,
% 14.00/9.16 (v113(constB1)),
% 14.00/9.16 inference(unit_resolution,[status(thm)],[2287, 2225])).
% 14.00/9.16 tff(2289,plain,
% 14.00/9.16 (^[VarCurr: state_type] : refl(((~v113(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2))))) <=> ((~v113(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2))))))),
% 14.00/9.16 inference(bind,[status(th)],[])).
% 14.00/9.16 tff(2290,plain,
% 14.00/9.16 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2))))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))),
% 14.00/9.16 inference(quant_intro,[status(thm)],[2289])).
% 14.00/9.16 tff(2291,plain,
% 14.00/9.16 (^[VarCurr: state_type] : rewrite(((~v113(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0)))) <=> ((~v113(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2))))))),
% 14.00/9.16 inference(bind,[status(th)],[])).
% 14.00/9.16 tff(2292,plain,
% 14.00/9.16 (![VarCurr: state_type] : ((~v113(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))),
% 14.00/9.16 inference(quant_intro,[status(thm)],[2291])).
% 14.00/9.16 tff(2293,plain,
% 14.00/9.16 (![VarCurr: state_type] : ((~v113(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))),
% 14.00/9.17 inference(rewrite,[status(thm)],[])).
% 14.00/9.17 tff(2294,plain,
% 14.00/9.17 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $false)) <=> (v124(VarCurr, 2) & (~v124(VarCurr, 1)))), rewrite((v124(VarCurr, 0) <=> $false) <=> (~v124(VarCurr, 0))), ((((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $false)) <=> ((v124(VarCurr, 2) & (~v124(VarCurr, 1))) & (~v124(VarCurr, 0))))), rewrite(((v124(VarCurr, 2) & (~v124(VarCurr, 1))) & (~v124(VarCurr, 0))) <=> (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0)))), ((((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $false)) <=> (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))), ((v113(VarCurr) => (((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $false))) <=> (v113(VarCurr) => (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0)))))), rewrite((v113(VarCurr) => (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0)))) <=> ((~v113(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))), ((v113(VarCurr) => (((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $false))) <=> ((~v113(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))))),
% 14.00/9.17 inference(bind,[status(th)],[])).
% 14.00/9.17 tff(2295,plain,
% 14.00/9.17 (![VarCurr: state_type] : (v113(VarCurr) => (((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))),
% 14.00/9.17 inference(quant_intro,[status(thm)],[2294])).
% 14.00/9.17 tff(2296,axiom,(![VarCurr: state_type] : (v113(VarCurr) => (((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0')).
% 14.00/9.17 tff(2297,plain,
% 14.00/9.17 (![VarCurr: state_type] : ((~v113(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2296, 2295])).
% 14.00/9.17 tff(2298,plain,
% 14.00/9.17 (![VarCurr: state_type] : ((~v113(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2297, 2293])).
% 14.00/9.17 tff(2299,plain,(
% 14.00/9.17 ![VarCurr: state_type] : ((~v113(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))),
% 14.00/9.17 inference(skolemize,[status(sab)],[2298])).
% 14.00/9.17 tff(2300,plain,
% 14.00/9.17 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2299, 2292])).
% 14.00/9.17 tff(2301,plain,
% 14.00/9.17 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2300, 2290])).
% 14.00/9.17 tff(2302,plain,
% 14.00/9.17 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v113(constB1)) | (~(v124(constB1, 0) | v124(constB1, 1) | (~v124(constB1, 2)))))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v113(constB1)) | (~(v124(constB1, 0) | v124(constB1, 1) | (~v124(constB1, 2)))))),
% 14.00/9.17 inference(rewrite,[status(thm)],[])).
% 14.00/9.17 tff(2303,plain,
% 14.00/9.17 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v113(constB1)) | (~(v124(constB1, 0) | v124(constB1, 1) | (~v124(constB1, 2)))))),
% 14.00/9.17 inference(quant_inst,[status(thm)],[])).
% 14.00/9.17 tff(2304,plain,
% 14.00/9.17 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v113(constB1)) | (~(v124(constB1, 0) | v124(constB1, 1) | (~v124(constB1, 2))))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2303, 2302])).
% 14.00/9.17 tff(2305,plain,
% 14.00/9.17 (~(v124(constB1, 0) | v124(constB1, 1) | (~v124(constB1, 2)))),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2304, 2301, 2288])).
% 14.00/9.17 tff(2306,plain,
% 14.00/9.17 ((v124(constB1, 0) | v124(constB1, 1) | (~v124(constB1, 2))) | v124(constB1, 2)),
% 14.00/9.17 inference(tautology,[status(thm)],[])).
% 14.00/9.17 tff(2307,plain,
% 14.00/9.17 (v124(constB1, 2)),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2306, 2305])).
% 14.00/9.17 tff(2308,plain,
% 14.00/9.17 (((~v121(constB1, 2)) <=> v124(constB1, 2)) | v121(constB1, 2) | (~v124(constB1, 2))),
% 14.00/9.17 inference(tautology,[status(thm)],[])).
% 14.00/9.17 tff(2309,plain,
% 14.00/9.17 (v121(constB1, 2)),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2308, 2307, 2223])).
% 14.00/9.17 tff(2310,plain,
% 14.00/9.17 (((~v123(constB2, 2)) <=> v121(constB1, 2)) | v123(constB2, 2) | (~v121(constB1, 2))),
% 14.00/9.17 inference(tautology,[status(thm)],[])).
% 14.00/9.17 tff(2311,plain,
% 14.00/9.17 (v123(constB2, 2)),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2310, 2309, 2209])).
% 14.00/9.17 tff(2312,plain,
% 14.00/9.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB1, constB2)) | (v94(constB2) <=> (~((~v95(constB2)) | (~v104(constB2))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB1, constB2)) | (v94(constB2) <=> (~((~v95(constB2)) | (~v104(constB2))))))),
% 14.00/9.17 inference(rewrite,[status(thm)],[])).
% 14.00/9.17 tff(2313,plain,
% 14.00/9.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB1, constB2)) | (v94(constB2) <=> (~((~v95(constB2)) | (~v104(constB2))))))),
% 14.00/9.17 inference(quant_inst,[status(thm)],[])).
% 14.00/9.17 tff(2314,plain,
% 14.00/9.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB1, constB2)) | (v94(constB2) <=> (~((~v95(constB2)) | (~v104(constB2)))))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2313, 2312])).
% 14.00/9.17 tff(2315,plain,
% 14.00/9.17 (v94(constB2) <=> (~((~v95(constB2)) | (~v104(constB2))))),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2314, 2203, 770])).
% 14.00/9.17 tff(2316,plain,
% 14.00/9.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2))))))),
% 14.00/9.17 inference(rewrite,[status(thm)],[])).
% 14.00/9.17 tff(2317,plain,
% 14.00/9.17 (((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v96(constB2)) | (~v1(constB2)))))) <=> ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2))))))),
% 14.00/9.17 inference(rewrite,[status(thm)],[])).
% 14.00/9.17 tff(2318,plain,
% 14.00/9.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v96(constB2)) | (~v1(constB2))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2)))))))),
% 14.00/9.17 inference(monotonicity,[status(thm)],[2317])).
% 14.00/9.17 tff(2319,plain,
% 14.00/9.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v96(constB2)) | (~v1(constB2))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2))))))),
% 14.00/9.17 inference(transitivity,[status(thm)],[2318, 2316])).
% 14.00/9.17 tff(2320,plain,
% 14.00/9.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v96(constB2)) | (~v1(constB2))))))),
% 14.00/9.17 inference(quant_inst,[status(thm)],[])).
% 14.00/9.17 tff(2321,plain,
% 14.00/9.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2)))))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2320, 2319])).
% 14.00/9.17 tff(2322,plain,
% 14.00/9.17 (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2))))),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2321, 2203, 790])).
% 14.00/9.17 tff(2323,plain,
% 14.00/9.17 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext))))),
% 14.00/9.17 inference(bind,[status(th)],[])).
% 14.00/9.17 tff(2324,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 14.00/9.17 inference(quant_intro,[status(thm)],[2323])).
% 14.00/9.17 tff(2325,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 14.00/9.17 inference(rewrite,[status(thm)],[])).
% 14.00/9.17 tff(2326,plain,
% 14.00/9.17 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => ((~v96(VarNext)) <=> v98(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext))))),
% 14.00/9.17 inference(bind,[status(th)],[])).
% 14.00/9.17 tff(2327,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => ((~v96(VarNext)) <=> v98(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 14.00/9.17 inference(quant_intro,[status(thm)],[2326])).
% 14.00/9.17 tff(2328,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => ((~v96(VarNext)) <=> v98(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_12')).
% 14.00/9.17 tff(2329,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2328, 2327])).
% 14.00/9.17 tff(2330,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2329, 2325])).
% 14.00/9.17 tff(2331,plain,(
% 14.00/9.17 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 14.00/9.17 inference(skolemize,[status(sab)],[2330])).
% 14.00/9.17 tff(2332,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2331, 2324])).
% 14.00/9.17 tff(2333,plain,
% 14.00/9.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB1, constB2)) | ((~v96(constB2)) <=> v98(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB1, constB2)) | ((~v96(constB2)) <=> v98(constB2)))),
% 14.00/9.17 inference(rewrite,[status(thm)],[])).
% 14.00/9.17 tff(2334,plain,
% 14.00/9.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB1, constB2)) | ((~v96(constB2)) <=> v98(constB2)))),
% 14.00/9.17 inference(quant_inst,[status(thm)],[])).
% 14.00/9.17 tff(2335,plain,
% 14.00/9.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB1, constB2)) | ((~v96(constB2)) <=> v98(constB2))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2334, 2333])).
% 14.00/9.17 tff(2336,plain,
% 14.00/9.17 ((~v96(constB2)) <=> v98(constB2)),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2335, 2203, 2332])).
% 14.00/9.17 tff(2337,plain,
% 14.00/9.17 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr))))),
% 14.00/9.17 inference(bind,[status(th)],[])).
% 14.00/9.17 tff(2338,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 14.00/9.17 inference(quant_intro,[status(thm)],[2337])).
% 14.00/9.17 tff(2339,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 14.00/9.17 inference(rewrite,[status(thm)],[])).
% 14.00/9.17 tff(2340,plain,
% 14.00/9.17 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v98(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr))))),
% 14.00/9.17 inference(bind,[status(th)],[])).
% 14.00/9.17 tff(2341,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v98(VarNext) <=> v1(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 14.00/9.17 inference(quant_intro,[status(thm)],[2340])).
% 14.00/9.17 tff(2342,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v98(VarNext) <=> v1(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_5')).
% 14.00/9.17 tff(2343,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2342, 2341])).
% 14.00/9.17 tff(2344,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2343, 2339])).
% 14.00/9.17 tff(2345,plain,(
% 14.00/9.17 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 14.00/9.17 inference(skolemize,[status(sab)],[2344])).
% 14.00/9.17 tff(2346,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2345, 2338])).
% 14.00/9.17 tff(2347,plain,
% 14.00/9.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v98(constB2) <=> v1(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v98(constB2) <=> v1(constB1)))),
% 14.00/9.17 inference(rewrite,[status(thm)],[])).
% 14.00/9.17 tff(2348,plain,
% 14.00/9.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v98(constB2) <=> v1(constB1)))),
% 14.00/9.17 inference(quant_inst,[status(thm)],[])).
% 14.00/9.17 tff(2349,plain,
% 14.00/9.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v98(constB2) <=> v1(constB1))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2348, 2347])).
% 14.00/9.17 tff(2350,plain,
% 14.00/9.17 (v98(constB2) <=> v1(constB1)),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2349, 2203, 2346])).
% 14.00/9.17 tff(2351,plain,
% 14.00/9.17 ((~(v98(constB2) <=> v1(constB1))) | (~v98(constB2)) | v1(constB1)),
% 14.00/9.17 inference(tautology,[status(thm)],[])).
% 14.00/9.17 tff(2352,plain,
% 14.00/9.17 ((~(v98(constB2) <=> v1(constB1))) | (~v98(constB2))),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2351, 2242])).
% 14.00/9.17 tff(2353,plain,
% 14.00/9.17 (~v98(constB2)),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2352, 2350])).
% 14.00/9.17 tff(2354,plain,
% 14.00/9.17 ((~((~v96(constB2)) <=> v98(constB2))) | v96(constB2) | v98(constB2)),
% 14.00/9.17 inference(tautology,[status(thm)],[])).
% 14.00/9.17 tff(2355,plain,
% 14.00/9.17 (v96(constB2)),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2354, 2353, 2336])).
% 14.00/9.17 tff(2356,plain,
% 14.00/9.17 (v1(constB2) <=> v1(constB2)),
% 14.00/9.17 inference(rewrite,[status(thm)],[])).
% 14.00/9.17 tff(2357,axiom,(v1(constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_2')).
% 14.00/9.17 tff(2358,plain,
% 14.00/9.17 (v1(constB2)),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2357, 2356])).
% 14.00/9.17 tff(2359,plain,
% 14.00/9.17 ((~((~v1(constB2)) | (~v96(constB2)))) | (~v1(constB2)) | (~v96(constB2))),
% 14.00/9.17 inference(tautology,[status(thm)],[])).
% 14.00/9.17 tff(2360,plain,
% 14.00/9.17 ((~((~v1(constB2)) | (~v96(constB2)))) | (~v96(constB2))),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2359, 2358])).
% 14.00/9.17 tff(2361,plain,
% 14.00/9.17 (~((~v1(constB2)) | (~v96(constB2)))),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2360, 2355])).
% 14.00/9.17 tff(2362,plain,
% 14.00/9.17 ((~(v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2)))))) | v95(constB2) | ((~v1(constB2)) | (~v96(constB2)))),
% 14.00/9.17 inference(tautology,[status(thm)],[])).
% 14.00/9.17 tff(2363,plain,
% 14.00/9.17 (v95(constB2)),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2362, 2361, 2322])).
% 14.00/9.17 tff(2364,plain,
% 14.00/9.17 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr))))),
% 14.00/9.17 inference(bind,[status(th)],[])).
% 14.00/9.17 tff(2365,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 14.00/9.17 inference(quant_intro,[status(thm)],[2364])).
% 14.00/9.17 tff(2366,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 14.00/9.17 inference(rewrite,[status(thm)],[])).
% 14.00/9.17 tff(2367,plain,
% 14.00/9.17 (^[VarNext: state_type, VarCurr: state_type] : rewrite((nextState(VarCurr, VarNext) => (v104(VarNext) <=> v102(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr))))),
% 14.00/9.17 inference(bind,[status(th)],[])).
% 14.00/9.17 tff(2368,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v102(VarCurr))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 14.00/9.17 inference(quant_intro,[status(thm)],[2367])).
% 14.00/9.17 tff(2369,axiom,(![VarNext: state_type, VarCurr: state_type] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v102(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6')).
% 14.00/9.17 tff(2370,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2369, 2368])).
% 14.00/9.17 tff(2371,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2370, 2366])).
% 14.00/9.17 tff(2372,plain,(
% 14.00/9.17 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 14.00/9.17 inference(skolemize,[status(sab)],[2371])).
% 14.00/9.17 tff(2373,plain,
% 14.00/9.17 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2372, 2365])).
% 14.00/9.17 tff(2374,plain,
% 14.00/9.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v102(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v102(constB1)))),
% 14.00/9.17 inference(rewrite,[status(thm)],[])).
% 14.00/9.17 tff(2375,plain,
% 14.00/9.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v102(constB1)))),
% 14.00/9.17 inference(quant_inst,[status(thm)],[])).
% 14.00/9.17 tff(2376,plain,
% 14.00/9.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v102(constB1))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2375, 2374])).
% 14.00/9.17 tff(2377,plain,
% 14.00/9.17 (v104(constB2) <=> v102(constB1)),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2376, 2203, 2373])).
% 14.00/9.17 tff(2378,plain,
% 14.00/9.17 (^[VarCurr: state_type] : refl((v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr))) <=> (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr))))),
% 14.00/9.17 inference(bind,[status(th)],[])).
% 14.00/9.17 tff(2379,plain,
% 14.00/9.17 (![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr))) <=> ![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))),
% 14.00/9.17 inference(quant_intro,[status(thm)],[2378])).
% 14.00/9.17 tff(2380,plain,
% 14.00/9.17 (![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr))) <=> ![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))),
% 14.00/9.17 inference(rewrite,[status(thm)],[])).
% 14.00/9.17 tff(2381,axiom,(![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26')).
% 14.00/9.17 tff(2382,plain,
% 14.00/9.17 (![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2381, 2380])).
% 14.00/9.17 tff(2383,plain,(
% 14.00/9.17 ![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))),
% 14.00/9.17 inference(skolemize,[status(sab)],[2382])).
% 14.00/9.17 tff(2384,plain,
% 14.00/9.17 (![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2383, 2379])).
% 14.00/9.17 tff(2385,plain,
% 14.00/9.17 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB1) <=> (v105(constB1) | v106(constB1)))),
% 14.00/9.17 inference(quant_inst,[status(thm)],[])).
% 14.00/9.17 tff(2386,plain,
% 14.00/9.17 (v102(constB1) <=> (v105(constB1) | v106(constB1))),
% 14.00/9.17 inference(unit_resolution,[status(thm)],[2385, 2384])).
% 14.00/9.17 tff(2387,plain,
% 14.00/9.17 (^[VarCurr: state_type] : refl((v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr))))) <=> (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr))))))),
% 14.00/9.17 inference(bind,[status(th)],[])).
% 14.00/9.17 tff(2388,plain,
% 14.00/9.17 (![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr))))) <=> ![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))),
% 14.00/9.17 inference(quant_intro,[status(thm)],[2387])).
% 14.00/9.17 tff(2389,plain,
% 14.00/9.17 (^[VarCurr: state_type] : rewrite((v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr))) <=> (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr))))))),
% 14.00/9.17 inference(bind,[status(th)],[])).
% 14.00/9.17 tff(2390,plain,
% 14.00/9.17 (![VarCurr: state_type] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr))) <=> ![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))),
% 14.00/9.17 inference(quant_intro,[status(thm)],[2389])).
% 14.00/9.17 tff(2391,plain,
% 14.00/9.17 (![VarCurr: state_type] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr))) <=> ![VarCurr: state_type] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr)))),
% 14.00/9.17 inference(rewrite,[status(thm)],[])).
% 14.00/9.17 tff(2392,axiom,(![VarCurr: state_type] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25')).
% 14.00/9.17 tff(2393,plain,
% 14.00/9.17 (![VarCurr: state_type] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr)))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2392, 2391])).
% 14.00/9.17 tff(2394,plain,(
% 14.00/9.17 ![VarCurr: state_type] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr)))),
% 14.00/9.17 inference(skolemize,[status(sab)],[2393])).
% 14.00/9.17 tff(2395,plain,
% 14.00/9.17 (![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2394, 2390])).
% 14.00/9.17 tff(2396,plain,
% 14.00/9.17 (![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))),
% 14.00/9.17 inference(modus_ponens,[status(thm)],[2395, 2388])).
% 14.00/9.17 tff(2397,plain,
% 14.00/9.17 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB1) <=> (~((~v107(constB1)) | (~v120(constB1)))))),
% 14.00/9.18 inference(quant_inst,[status(thm)],[])).
% 14.00/9.18 tff(2398,plain,
% 14.00/9.18 (v106(constB1) <=> (~((~v107(constB1)) | (~v120(constB1))))),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2397, 2396])).
% 14.00/9.18 tff(2399,plain,
% 14.00/9.18 (^[VarCurr: state_type] : refl((v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr))) <=> (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr))))),
% 14.00/9.18 inference(bind,[status(th)],[])).
% 14.00/9.18 tff(2400,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr))) <=> ![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))),
% 14.00/9.18 inference(quant_intro,[status(thm)],[2399])).
% 14.00/9.18 tff(2401,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr))) <=> ![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))),
% 14.00/9.18 inference(rewrite,[status(thm)],[])).
% 14.00/9.18 tff(2402,axiom,(![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24')).
% 14.00/9.18 tff(2403,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2402, 2401])).
% 14.00/9.18 tff(2404,plain,(
% 14.00/9.18 ![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))),
% 14.00/9.18 inference(skolemize,[status(sab)],[2403])).
% 14.00/9.18 tff(2405,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2404, 2400])).
% 14.00/9.18 tff(2406,plain,
% 14.00/9.18 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB1) <=> (v108(constB1) | v119(constB1)))),
% 14.00/9.18 inference(quant_inst,[status(thm)],[])).
% 14.00/9.18 tff(2407,plain,
% 14.00/9.18 (v107(constB1) <=> (v108(constB1) | v119(constB1))),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2406, 2405])).
% 14.00/9.18 tff(2408,plain,
% 14.00/9.18 (^[VarCurr: state_type] : refl((v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr))) <=> (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr))))),
% 14.00/9.18 inference(bind,[status(th)],[])).
% 14.00/9.18 tff(2409,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr))) <=> ![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))),
% 14.00/9.18 inference(quant_intro,[status(thm)],[2408])).
% 14.00/9.18 tff(2410,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr))) <=> ![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))),
% 14.00/9.18 inference(rewrite,[status(thm)],[])).
% 14.00/9.18 tff(2411,axiom,(![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23')).
% 14.00/9.18 tff(2412,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2411, 2410])).
% 14.00/9.18 tff(2413,plain,(
% 14.00/9.18 ![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))),
% 14.00/9.18 inference(skolemize,[status(sab)],[2412])).
% 14.00/9.18 tff(2414,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2413, 2409])).
% 14.00/9.18 tff(2415,plain,
% 14.00/9.18 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB1) <=> (v109(constB1) | v118(constB1)))),
% 14.00/9.18 inference(quant_inst,[status(thm)],[])).
% 14.00/9.18 tff(2416,plain,
% 14.00/9.18 (v108(constB1) <=> (v109(constB1) | v118(constB1))),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2415, 2414])).
% 14.00/9.18 tff(2417,plain,
% 14.00/9.18 (^[VarCurr: state_type] : refl((v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr))) <=> (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr))))),
% 14.00/9.18 inference(bind,[status(th)],[])).
% 14.00/9.18 tff(2418,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr))) <=> ![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))),
% 14.00/9.18 inference(quant_intro,[status(thm)],[2417])).
% 14.00/9.18 tff(2419,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr))) <=> ![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))),
% 14.00/9.18 inference(rewrite,[status(thm)],[])).
% 14.00/9.18 tff(2420,axiom,(![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22')).
% 14.00/9.18 tff(2421,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2420, 2419])).
% 14.00/9.18 tff(2422,plain,(
% 14.00/9.18 ![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))),
% 14.00/9.18 inference(skolemize,[status(sab)],[2421])).
% 14.00/9.18 tff(2423,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2422, 2418])).
% 14.00/9.18 tff(2424,plain,
% 14.00/9.18 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB1) <=> (v110(constB1) | v117(constB1)))),
% 14.00/9.18 inference(quant_inst,[status(thm)],[])).
% 14.00/9.18 tff(2425,plain,
% 14.00/9.18 (v109(constB1) <=> (v110(constB1) | v117(constB1))),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2424, 2423])).
% 14.00/9.18 tff(2426,plain,
% 14.00/9.18 (^[VarCurr: state_type] : refl((v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr))) <=> (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr))))),
% 14.00/9.18 inference(bind,[status(th)],[])).
% 14.00/9.18 tff(2427,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr))) <=> ![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))),
% 14.00/9.18 inference(quant_intro,[status(thm)],[2426])).
% 14.00/9.18 tff(2428,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr))) <=> ![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))),
% 14.00/9.18 inference(rewrite,[status(thm)],[])).
% 14.00/9.18 tff(2429,axiom,(![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21')).
% 14.00/9.18 tff(2430,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2429, 2428])).
% 14.00/9.18 tff(2431,plain,(
% 14.00/9.18 ![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))),
% 14.00/9.18 inference(skolemize,[status(sab)],[2430])).
% 14.00/9.18 tff(2432,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2431, 2427])).
% 14.00/9.18 tff(2433,plain,
% 14.00/9.18 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB1) <=> (v111(constB1) | v116(constB1)))),
% 14.00/9.18 inference(quant_inst,[status(thm)],[])).
% 14.00/9.18 tff(2434,plain,
% 14.00/9.18 (v110(constB1) <=> (v111(constB1) | v116(constB1))),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2433, 2432])).
% 14.00/9.18 tff(2435,plain,
% 14.00/9.18 (^[VarCurr: state_type] : refl((v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr))) <=> (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr))))),
% 14.00/9.18 inference(bind,[status(th)],[])).
% 14.00/9.18 tff(2436,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr))) <=> ![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))),
% 14.00/9.18 inference(quant_intro,[status(thm)],[2435])).
% 14.00/9.18 tff(2437,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr))) <=> ![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))),
% 14.00/9.18 inference(rewrite,[status(thm)],[])).
% 14.00/9.18 tff(2438,axiom,(![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20')).
% 14.00/9.18 tff(2439,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2438, 2437])).
% 14.00/9.18 tff(2440,plain,(
% 14.00/9.18 ![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))),
% 14.00/9.18 inference(skolemize,[status(sab)],[2439])).
% 14.00/9.18 tff(2441,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2440, 2436])).
% 14.00/9.18 tff(2442,plain,
% 14.00/9.18 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB1) <=> (v112(constB1) | v115(constB1)))),
% 14.00/9.18 inference(quant_inst,[status(thm)],[])).
% 14.00/9.18 tff(2443,plain,
% 14.00/9.18 (v111(constB1) <=> (v112(constB1) | v115(constB1))),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2442, 2441])).
% 14.00/9.18 tff(2444,plain,
% 14.00/9.18 (^[VarCurr: state_type] : refl((v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr))) <=> (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr))))),
% 14.00/9.18 inference(bind,[status(th)],[])).
% 14.00/9.18 tff(2445,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr))) <=> ![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))),
% 14.00/9.18 inference(quant_intro,[status(thm)],[2444])).
% 14.00/9.18 tff(2446,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr))) <=> ![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))),
% 14.00/9.18 inference(rewrite,[status(thm)],[])).
% 14.00/9.18 tff(2447,axiom,(![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19')).
% 14.00/9.18 tff(2448,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2447, 2446])).
% 14.00/9.18 tff(2449,plain,(
% 14.00/9.18 ![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))),
% 14.00/9.18 inference(skolemize,[status(sab)],[2448])).
% 14.00/9.18 tff(2450,plain,
% 14.00/9.18 (![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2449, 2445])).
% 14.00/9.18 tff(2451,plain,
% 14.00/9.18 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB1) <=> (v113(constB1) | v114(constB1)))),
% 14.00/9.18 inference(quant_inst,[status(thm)],[])).
% 14.00/9.18 tff(2452,plain,
% 14.00/9.18 (v112(constB1) <=> (v113(constB1) | v114(constB1))),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2451, 2450])).
% 14.00/9.18 tff(2453,plain,
% 14.00/9.18 ((v113(constB1) | v114(constB1)) | (~v113(constB1))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2454,plain,
% 14.00/9.18 (v113(constB1) | v114(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2453, 2288])).
% 14.00/9.18 tff(2455,plain,
% 14.00/9.18 ((~(v112(constB1) <=> (v113(constB1) | v114(constB1)))) | v112(constB1) | (~(v113(constB1) | v114(constB1)))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2456,plain,
% 14.00/9.18 ((~(v112(constB1) <=> (v113(constB1) | v114(constB1)))) | v112(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2455, 2454])).
% 14.00/9.18 tff(2457,plain,
% 14.00/9.18 (v112(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2456, 2452])).
% 14.00/9.18 tff(2458,plain,
% 14.00/9.18 ((v112(constB1) | v115(constB1)) | (~v112(constB1))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2459,plain,
% 14.00/9.18 (v112(constB1) | v115(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2458, 2457])).
% 14.00/9.18 tff(2460,plain,
% 14.00/9.18 ((~(v111(constB1) <=> (v112(constB1) | v115(constB1)))) | v111(constB1) | (~(v112(constB1) | v115(constB1)))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2461,plain,
% 14.00/9.18 (v111(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2460, 2459, 2443])).
% 14.00/9.18 tff(2462,plain,
% 14.00/9.18 ((v111(constB1) | v116(constB1)) | (~v111(constB1))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2463,plain,
% 14.00/9.18 (v111(constB1) | v116(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2462, 2461])).
% 14.00/9.18 tff(2464,plain,
% 14.00/9.18 ((~(v110(constB1) <=> (v111(constB1) | v116(constB1)))) | v110(constB1) | (~(v111(constB1) | v116(constB1)))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2465,plain,
% 14.00/9.18 (v110(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2464, 2463, 2434])).
% 14.00/9.18 tff(2466,plain,
% 14.00/9.18 ((v110(constB1) | v117(constB1)) | (~v110(constB1))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2467,plain,
% 14.00/9.18 (v110(constB1) | v117(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2466, 2465])).
% 14.00/9.18 tff(2468,plain,
% 14.00/9.18 ((~(v109(constB1) <=> (v110(constB1) | v117(constB1)))) | v109(constB1) | (~(v110(constB1) | v117(constB1)))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2469,plain,
% 14.00/9.18 (v109(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2468, 2467, 2425])).
% 14.00/9.18 tff(2470,plain,
% 14.00/9.18 ((v109(constB1) | v118(constB1)) | (~v109(constB1))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2471,plain,
% 14.00/9.18 (v109(constB1) | v118(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2470, 2469])).
% 14.00/9.18 tff(2472,plain,
% 14.00/9.18 ((~(v108(constB1) <=> (v109(constB1) | v118(constB1)))) | v108(constB1) | (~(v109(constB1) | v118(constB1)))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2473,plain,
% 14.00/9.18 (v108(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2472, 2471, 2416])).
% 14.00/9.18 tff(2474,plain,
% 14.00/9.18 ((v108(constB1) | v119(constB1)) | (~v108(constB1))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2475,plain,
% 14.00/9.18 (v108(constB1) | v119(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2474, 2473])).
% 14.00/9.18 tff(2476,plain,
% 14.00/9.18 ((~(v107(constB1) <=> (v108(constB1) | v119(constB1)))) | v107(constB1) | (~(v108(constB1) | v119(constB1)))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2477,plain,
% 14.00/9.18 (v107(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2476, 2475, 2407])).
% 14.00/9.18 tff(2478,plain,
% 14.00/9.18 (^[VarCurr: state_type] : refl(((~v120(VarCurr)) <=> v105(VarCurr)) <=> ((~v120(VarCurr)) <=> v105(VarCurr)))),
% 14.00/9.18 inference(bind,[status(th)],[])).
% 14.00/9.18 tff(2479,plain,
% 14.00/9.18 (![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))),
% 14.00/9.18 inference(quant_intro,[status(thm)],[2478])).
% 14.00/9.18 tff(2480,plain,
% 14.00/9.18 (![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr)) <=> ![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))),
% 14.00/9.18 inference(rewrite,[status(thm)],[])).
% 14.00/9.18 tff(2481,axiom,(![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_13')).
% 14.00/9.18 tff(2482,plain,
% 14.00/9.18 (![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2481, 2480])).
% 14.00/9.18 tff(2483,plain,(
% 14.00/9.18 ![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))),
% 14.00/9.18 inference(skolemize,[status(sab)],[2482])).
% 14.00/9.18 tff(2484,plain,
% 14.00/9.18 (![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2483, 2479])).
% 14.00/9.18 tff(2485,plain,
% 14.00/9.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB1)) <=> v105(constB1))),
% 14.00/9.18 inference(quant_inst,[status(thm)],[])).
% 14.00/9.18 tff(2486,plain,
% 14.00/9.18 ((~v120(constB1)) <=> v105(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2485, 2484])).
% 14.00/9.18 tff(2487,plain,
% 14.00/9.18 ((~((~v120(constB1)) <=> v105(constB1))) | v120(constB1) | v105(constB1)),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2488,plain,
% 14.00/9.18 ((~((~v120(constB1)) <=> v105(constB1))) | v120(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2487, 2216])).
% 14.00/9.18 tff(2489,plain,
% 14.00/9.18 (v120(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2488, 2486])).
% 14.00/9.18 tff(2490,plain,
% 14.00/9.18 ((~((~v107(constB1)) | (~v120(constB1)))) | (~v107(constB1)) | (~v120(constB1))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2491,plain,
% 14.00/9.18 (~((~v107(constB1)) | (~v120(constB1)))),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2490, 2489, 2477])).
% 14.00/9.18 tff(2492,plain,
% 14.00/9.18 ((~(v106(constB1) <=> (~((~v107(constB1)) | (~v120(constB1)))))) | v106(constB1) | ((~v107(constB1)) | (~v120(constB1)))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2493,plain,
% 14.00/9.18 ((~(v106(constB1) <=> (~((~v107(constB1)) | (~v120(constB1)))))) | v106(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2492, 2491])).
% 14.00/9.18 tff(2494,plain,
% 14.00/9.18 (v106(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2493, 2398])).
% 14.00/9.18 tff(2495,plain,
% 14.00/9.18 ((v105(constB1) | v106(constB1)) | (~v106(constB1))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2496,plain,
% 14.00/9.18 (v105(constB1) | v106(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2495, 2494])).
% 14.00/9.18 tff(2497,plain,
% 14.00/9.18 ((~(v102(constB1) <=> (v105(constB1) | v106(constB1)))) | v102(constB1) | (~(v105(constB1) | v106(constB1)))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2498,plain,
% 14.00/9.18 (v102(constB1)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2497, 2496, 2386])).
% 14.00/9.18 tff(2499,plain,
% 14.00/9.18 ((~(v104(constB2) <=> v102(constB1))) | v104(constB2) | (~v102(constB1))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2500,plain,
% 14.00/9.18 (v104(constB2)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2499, 2498, 2377])).
% 14.00/9.18 tff(2501,plain,
% 14.00/9.18 ((~((~v95(constB2)) | (~v104(constB2)))) | (~v95(constB2)) | (~v104(constB2))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2502,plain,
% 14.00/9.18 (~((~v95(constB2)) | (~v104(constB2)))),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2501, 2500, 2363])).
% 14.00/9.18 tff(2503,plain,
% 14.00/9.18 ((~(v94(constB2) <=> (~((~v95(constB2)) | (~v104(constB2)))))) | v94(constB2) | ((~v95(constB2)) | (~v104(constB2)))),
% 14.00/9.18 inference(tautology,[status(thm)],[])).
% 14.00/9.18 tff(2504,plain,
% 14.00/9.18 (v94(constB2)),
% 14.00/9.18 inference(unit_resolution,[status(thm)],[2503, 2502, 2315])).
% 14.00/9.18 tff(2505,plain,
% 14.00/9.18 (^[VarNext: state_type] : refl(((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0))))) <=> ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0))))))),
% 14.00/9.18 inference(bind,[status(th)],[])).
% 14.00/9.18 tff(2506,plain,
% 14.00/9.18 (![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0))))) <=> ![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))),
% 14.00/9.18 inference(quant_intro,[status(thm)],[2505])).
% 14.00/9.18 tff(2507,plain,
% 14.00/9.18 (^[VarNext: state_type] : rewrite(((~v94(VarNext)) | ((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1)) & (v84(VarNext, 0) <=> v123(VarNext, 0)))) <=> ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0))))))),
% 14.00/9.18 inference(bind,[status(th)],[])).
% 14.00/9.18 tff(2508,plain,
% 14.00/9.18 (![VarNext: state_type] : ((~v94(VarNext)) | ((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1)) & (v84(VarNext, 0) <=> v123(VarNext, 0)))) <=> ![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))),
% 14.00/9.18 inference(quant_intro,[status(thm)],[2507])).
% 14.00/9.18 tff(2509,plain,
% 14.00/9.18 (![VarNext: state_type] : ((~v94(VarNext)) | ((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1)) & (v84(VarNext, 0) <=> v123(VarNext, 0)))) <=> ![VarNext: state_type] : ((~v94(VarNext)) | ((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1)) & (v84(VarNext, 0) <=> v123(VarNext, 0))))),
% 14.00/9.18 inference(rewrite,[status(thm)],[])).
% 14.00/9.18 tff(2510,plain,
% 14.00/9.18 (^[VarNext: state_type] : trans(monotonicity(rewrite((((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1))) & (v84(VarNext, 0) <=> v123(VarNext, 0))) <=> ((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1)) & (v84(VarNext, 0) <=> v123(VarNext, 0)))), ((v94(VarNext) => (((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1))) & (v84(VarNext, 0) <=> v123(VarNext, 0)))) <=> (v94(VarNext) => ((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1)) & (v84(VarNext, 0) <=> v123(VarNext, 0)))))), rewrite((v94(VarNext) => ((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1)) & (v84(VarNext, 0) <=> v123(VarNext, 0)))) <=> ((~v94(VarNext)) | ((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1)) & (v84(VarNext, 0) <=> v123(VarNext, 0))))), ((v94(VarNext) => (((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1))) & (v84(VarNext, 0) <=> v123(VarNext, 0)))) <=> ((~v94(VarNext)) | ((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1)) & (v84(VarNext, 0) <=> v123(VarNext, 0))))))),
% 14.00/9.18 inference(bind,[status(th)],[])).
% 14.00/9.18 tff(2511,plain,
% 14.00/9.18 (![VarNext: state_type] : (v94(VarNext) => (((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1))) & (v84(VarNext, 0) <=> v123(VarNext, 0)))) <=> ![VarNext: state_type] : ((~v94(VarNext)) | ((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1)) & (v84(VarNext, 0) <=> v123(VarNext, 0))))),
% 14.00/9.18 inference(quant_intro,[status(thm)],[2510])).
% 14.00/9.18 tff(2512,axiom,(![VarNext: state_type] : (v94(VarNext) => (((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1))) & (v84(VarNext, 0) <=> v123(VarNext, 0))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0')).
% 14.00/9.18 tff(2513,plain,
% 14.00/9.18 (![VarNext: state_type] : ((~v94(VarNext)) | ((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1)) & (v84(VarNext, 0) <=> v123(VarNext, 0))))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2512, 2511])).
% 14.00/9.18 tff(2514,plain,
% 14.00/9.18 (![VarNext: state_type] : ((~v94(VarNext)) | ((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1)) & (v84(VarNext, 0) <=> v123(VarNext, 0))))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2513, 2509])).
% 14.00/9.18 tff(2515,plain,(
% 14.00/9.18 ![VarNext: state_type] : ((~v94(VarNext)) | ((v84(VarNext, 2) <=> v123(VarNext, 2)) & (v84(VarNext, 1) <=> v123(VarNext, 1)) & (v84(VarNext, 0) <=> v123(VarNext, 0))))),
% 14.00/9.18 inference(skolemize,[status(sab)],[2514])).
% 14.00/9.18 tff(2516,plain,
% 14.00/9.18 (![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2515, 2508])).
% 14.00/9.18 tff(2517,plain,
% 14.00/9.18 (![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))),
% 14.00/9.18 inference(modus_ponens,[status(thm)],[2516, 2506])).
% 14.00/9.18 tff(2518,plain,
% 14.00/9.18 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB2)) | (~(((~v84(constB2, 0)) <=> v123(constB2, 0)) | ((~v84(constB2, 2)) <=> v123(constB2, 2)) | ((~v84(constB2, 1)) <=> v123(constB2, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB2)) | (~(((~v84(constB2, 0)) <=> v123(constB2, 0)) | ((~v84(constB2, 2)) <=> v123(constB2, 2)) | ((~v84(constB2, 1)) <=> v123(constB2, 1)))))),
% 14.00/9.18 inference(rewrite,[status(thm)],[])).
% 14.00/9.18 tff(2519,plain,
% 14.00/9.18 (((~v94(constB2)) | (~(((~v84(constB2, 2)) <=> v123(constB2, 2)) | ((~v84(constB2, 1)) <=> v123(constB2, 1)) | ((~v84(constB2, 0)) <=> v123(constB2, 0))))) <=> ((~v94(constB2)) | (~(((~v84(constB2, 0)) <=> v123(constB2, 0)) | ((~v84(constB2, 2)) <=> v123(constB2, 2)) | ((~v84(constB2, 1)) <=> v123(constB2, 1)))))),
% 14.00/9.18 inference(rewrite,[status(thm)],[])).
% 14.00/9.18 tff(2520,plain,
% 14.00/9.18 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB2)) | (~(((~v84(constB2, 2)) <=> v123(constB2, 2)) | ((~v84(constB2, 1)) <=> v123(constB2, 1)) | ((~v84(constB2, 0)) <=> v123(constB2, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB2)) | (~(((~v84(constB2, 0)) <=> v123(constB2, 0)) | ((~v84(constB2, 2)) <=> v123(constB2, 2)) | ((~v84(constB2, 1)) <=> v123(constB2, 1))))))),
% 14.00/9.18 inference(monotonicity,[status(thm)],[2519])).
% 14.00/9.18 tff(2521,plain,
% 14.00/9.18 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB2)) | (~(((~v84(constB2, 2)) <=> v123(constB2, 2)) | ((~v84(constB2, 1)) <=> v123(constB2, 1)) | ((~v84(constB2, 0)) <=> v123(constB2, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB2)) | (~(((~v84(constB2, 0)) <=> v123(constB2, 0)) | ((~v84(constB2, 2)) <=> v123(constB2, 2)) | ((~v84(constB2, 1)) <=> v123(constB2, 1)))))),
% 14.00/9.19 inference(transitivity,[status(thm)],[2520, 2518])).
% 14.00/9.19 tff(2522,plain,
% 14.00/9.19 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB2)) | (~(((~v84(constB2, 2)) <=> v123(constB2, 2)) | ((~v84(constB2, 1)) <=> v123(constB2, 1)) | ((~v84(constB2, 0)) <=> v123(constB2, 0)))))),
% 14.00/9.19 inference(quant_inst,[status(thm)],[])).
% 14.00/9.19 tff(2523,plain,
% 14.00/9.19 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB2)) | (~(((~v84(constB2, 0)) <=> v123(constB2, 0)) | ((~v84(constB2, 2)) <=> v123(constB2, 2)) | ((~v84(constB2, 1)) <=> v123(constB2, 1))))),
% 14.00/9.19 inference(modus_ponens,[status(thm)],[2522, 2521])).
% 14.00/9.19 tff(2524,plain,
% 14.00/9.19 ((~v94(constB2)) | (~(((~v84(constB2, 0)) <=> v123(constB2, 0)) | ((~v84(constB2, 2)) <=> v123(constB2, 2)) | ((~v84(constB2, 1)) <=> v123(constB2, 1))))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2523, 2517])).
% 14.00/9.19 tff(2525,plain,
% 14.00/9.19 (~(((~v84(constB2, 0)) <=> v123(constB2, 0)) | ((~v84(constB2, 2)) <=> v123(constB2, 2)) | ((~v84(constB2, 1)) <=> v123(constB2, 1)))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2524, 2504])).
% 14.00/9.19 tff(2526,plain,
% 14.00/9.19 ((((~v84(constB2, 0)) <=> v123(constB2, 0)) | ((~v84(constB2, 2)) <=> v123(constB2, 2)) | ((~v84(constB2, 1)) <=> v123(constB2, 1))) | (~((~v84(constB2, 2)) <=> v123(constB2, 2)))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2527,plain,
% 14.00/9.19 (~((~v84(constB2, 2)) <=> v123(constB2, 2))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2526, 2525])).
% 14.00/9.19 tff(2528,plain,
% 14.00/9.19 (((~v84(constB2, 2)) <=> v123(constB2, 2)) | v84(constB2, 2) | (~v123(constB2, 2))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2529,plain,
% 14.00/9.19 (v84(constB2, 2)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2528, 2527, 2311])).
% 14.00/9.19 tff(2530,plain,
% 14.00/9.19 (((~v84(constB3, 2)) <=> v84(constB2, 2)) | v84(constB3, 2) | (~v84(constB2, 2))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2531,plain,
% 14.00/9.19 (v84(constB3, 2)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2530, 2529, 2200])).
% 14.00/9.19 tff(2532,plain,
% 14.00/9.19 ((((~v84(constB3, 1)) <=> v84(constB2, 1)) | ((~v84(constB3, 2)) <=> v84(constB2, 2)) | ((~v84(constB3, 0)) <=> v84(constB2, 0))) | (~((~v84(constB3, 0)) <=> v84(constB2, 0)))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2533,plain,
% 14.00/9.19 (~((~v84(constB3, 0)) <=> v84(constB2, 0))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2532, 2198])).
% 14.00/9.19 tff(2534,plain,
% 14.00/9.19 ((((~v123(constB2, 2)) <=> v121(constB1, 2)) | ((~v123(constB2, 1)) <=> v121(constB1, 1)) | ((~v123(constB2, 0)) <=> v121(constB1, 0))) | (~((~v123(constB2, 0)) <=> v121(constB1, 0)))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2535,plain,
% 14.00/9.19 (~((~v123(constB2, 0)) <=> v121(constB1, 0))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2534, 2207])).
% 14.00/9.19 tff(2536,plain,
% 14.00/9.19 ((((~v121(constB1, 2)) <=> v124(constB1, 2)) | ((~v121(constB1, 0)) <=> v124(constB1, 0)) | ((~v121(constB1, 1)) <=> v124(constB1, 1))) | (~((~v121(constB1, 0)) <=> v124(constB1, 0)))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2537,plain,
% 14.00/9.19 (~((~v121(constB1, 0)) <=> v124(constB1, 0))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2536, 2221])).
% 14.00/9.19 tff(2538,plain,
% 14.00/9.19 ((v124(constB1, 0) | v124(constB1, 1) | (~v124(constB1, 2))) | (~v124(constB1, 0))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2539,plain,
% 14.00/9.19 (~v124(constB1, 0)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2538, 2305])).
% 14.00/9.19 tff(2540,plain,
% 14.00/9.19 (((~v121(constB1, 0)) <=> v124(constB1, 0)) | (~v121(constB1, 0)) | v124(constB1, 0)),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2541,plain,
% 14.00/9.19 (~v121(constB1, 0)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2540, 2539, 2537])).
% 14.00/9.19 tff(2542,plain,
% 14.00/9.19 (((~v123(constB2, 0)) <=> v121(constB1, 0)) | (~v123(constB2, 0)) | v121(constB1, 0)),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2543,plain,
% 14.00/9.19 (~v123(constB2, 0)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2542, 2541, 2535])).
% 14.00/9.19 tff(2544,plain,
% 14.00/9.19 ((((~v84(constB2, 0)) <=> v123(constB2, 0)) | ((~v84(constB2, 2)) <=> v123(constB2, 2)) | ((~v84(constB2, 1)) <=> v123(constB2, 1))) | (~((~v84(constB2, 0)) <=> v123(constB2, 0)))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2545,plain,
% 14.00/9.19 (~((~v84(constB2, 0)) <=> v123(constB2, 0))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2544, 2525])).
% 14.00/9.19 tff(2546,plain,
% 14.00/9.19 (((~v84(constB2, 0)) <=> v123(constB2, 0)) | (~v84(constB2, 0)) | v123(constB2, 0)),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2547,plain,
% 14.00/9.19 (~v84(constB2, 0)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2546, 2545, 2543])).
% 14.00/9.19 tff(2548,plain,
% 14.00/9.19 (((~v84(constB3, 0)) <=> v84(constB2, 0)) | (~v84(constB3, 0)) | v84(constB2, 0)),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2549,plain,
% 14.00/9.19 (~v84(constB3, 0)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2548, 2547, 2533])).
% 14.00/9.19 tff(2550,plain,
% 14.00/9.19 ((((~v84(constB3, 1)) <=> v84(constB2, 1)) | ((~v84(constB3, 2)) <=> v84(constB2, 2)) | ((~v84(constB3, 0)) <=> v84(constB2, 0))) | (~((~v84(constB3, 1)) <=> v84(constB2, 1)))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2551,plain,
% 14.00/9.19 (~((~v84(constB3, 1)) <=> v84(constB2, 1))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2550, 2198])).
% 14.00/9.19 tff(2552,plain,
% 14.00/9.19 ((((~v123(constB2, 2)) <=> v121(constB1, 2)) | ((~v123(constB2, 1)) <=> v121(constB1, 1)) | ((~v123(constB2, 0)) <=> v121(constB1, 0))) | (~((~v123(constB2, 1)) <=> v121(constB1, 1)))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2553,plain,
% 14.00/9.19 (~((~v123(constB2, 1)) <=> v121(constB1, 1))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2552, 2207])).
% 14.00/9.19 tff(2554,plain,
% 14.00/9.19 ((((~v121(constB1, 2)) <=> v124(constB1, 2)) | ((~v121(constB1, 0)) <=> v124(constB1, 0)) | ((~v121(constB1, 1)) <=> v124(constB1, 1))) | (~((~v121(constB1, 1)) <=> v124(constB1, 1)))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2555,plain,
% 14.00/9.19 (~((~v121(constB1, 1)) <=> v124(constB1, 1))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2554, 2221])).
% 14.00/9.19 tff(2556,plain,
% 14.00/9.19 ((v124(constB1, 0) | v124(constB1, 1) | (~v124(constB1, 2))) | (~v124(constB1, 1))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2557,plain,
% 14.00/9.19 (~v124(constB1, 1)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2556, 2305])).
% 14.00/9.19 tff(2558,plain,
% 14.00/9.19 (((~v121(constB1, 1)) <=> v124(constB1, 1)) | (~v121(constB1, 1)) | v124(constB1, 1)),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2559,plain,
% 14.00/9.19 (~v121(constB1, 1)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2558, 2557, 2555])).
% 14.00/9.19 tff(2560,plain,
% 14.00/9.19 (((~v123(constB2, 1)) <=> v121(constB1, 1)) | (~v123(constB2, 1)) | v121(constB1, 1)),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2561,plain,
% 14.00/9.19 (~v123(constB2, 1)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2560, 2559, 2553])).
% 14.00/9.19 tff(2562,plain,
% 14.00/9.19 ((((~v84(constB2, 0)) <=> v123(constB2, 0)) | ((~v84(constB2, 2)) <=> v123(constB2, 2)) | ((~v84(constB2, 1)) <=> v123(constB2, 1))) | (~((~v84(constB2, 1)) <=> v123(constB2, 1)))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2563,plain,
% 14.00/9.19 (~((~v84(constB2, 1)) <=> v123(constB2, 1))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2562, 2525])).
% 14.00/9.19 tff(2564,plain,
% 14.00/9.19 (((~v84(constB2, 1)) <=> v123(constB2, 1)) | (~v84(constB2, 1)) | v123(constB2, 1)),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2565,plain,
% 14.00/9.19 (~v84(constB2, 1)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2564, 2563, 2561])).
% 14.00/9.19 tff(2566,plain,
% 14.00/9.19 (((~v84(constB3, 1)) <=> v84(constB2, 1)) | (~v84(constB3, 1)) | v84(constB2, 1)),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2567,plain,
% 14.00/9.19 (~v84(constB3, 1)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2566, 2565, 2551])).
% 14.00/9.19 tff(2568,plain,
% 14.00/9.19 ((~(v84(constB3, 1) | v84(constB3, 0) | (~v84(constB3, 2)))) | v84(constB3, 1) | v84(constB3, 0) | (~v84(constB3, 2))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2569,plain,
% 14.00/9.19 (~(v84(constB3, 1) | v84(constB3, 0) | (~v84(constB3, 2)))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2568, 2567, 2549, 2531])).
% 14.00/9.19 tff(2570,plain,
% 14.00/9.19 ((~(v117(constB3) <=> (~(v84(constB3, 1) | v84(constB3, 0) | (~v84(constB3, 2)))))) | v117(constB3) | (v84(constB3, 1) | v84(constB3, 0) | (~v84(constB3, 2)))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2571,plain,
% 14.00/9.19 (v117(constB3)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2570, 2569, 2164])).
% 14.00/9.19 tff(2572,plain,
% 14.00/9.19 (^[VarCurr: state_type] : refl(((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1))))) <=> ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1))))))),
% 14.00/9.19 inference(bind,[status(th)],[])).
% 14.00/9.19 tff(2573,plain,
% 14.00/9.19 (![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1))))) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))),
% 14.00/9.19 inference(quant_intro,[status(thm)],[2572])).
% 14.00/9.19 tff(2574,plain,
% 14.00/9.19 (^[VarCurr: state_type] : rewrite(((~v117(VarCurr)) | (v124(VarCurr, 2) & v124(VarCurr, 1) & (~v124(VarCurr, 0)))) <=> ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1))))))),
% 14.00/9.19 inference(bind,[status(th)],[])).
% 14.00/9.19 tff(2575,plain,
% 14.00/9.19 (![VarCurr: state_type] : ((~v117(VarCurr)) | (v124(VarCurr, 2) & v124(VarCurr, 1) & (~v124(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))),
% 14.00/9.19 inference(quant_intro,[status(thm)],[2574])).
% 14.00/9.19 tff(2576,plain,
% 14.00/9.19 (![VarCurr: state_type] : ((~v117(VarCurr)) | (v124(VarCurr, 2) & v124(VarCurr, 1) & (~v124(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | (v124(VarCurr, 2) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))),
% 14.00/9.19 inference(rewrite,[status(thm)],[])).
% 14.00/9.19 tff(2577,plain,
% 14.00/9.19 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $true)) <=> (v124(VarCurr, 2) & v124(VarCurr, 1))), rewrite((v124(VarCurr, 0) <=> $false) <=> (~v124(VarCurr, 0))), ((((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $false)) <=> ((v124(VarCurr, 2) & v124(VarCurr, 1)) & (~v124(VarCurr, 0))))), rewrite(((v124(VarCurr, 2) & v124(VarCurr, 1)) & (~v124(VarCurr, 0))) <=> (v124(VarCurr, 2) & v124(VarCurr, 1) & (~v124(VarCurr, 0)))), ((((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $false)) <=> (v124(VarCurr, 2) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))), ((v117(VarCurr) => (((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $false))) <=> (v117(VarCurr) => (v124(VarCurr, 2) & v124(VarCurr, 1) & (~v124(VarCurr, 0)))))), rewrite((v117(VarCurr) => (v124(VarCurr, 2) & v124(VarCurr, 1) & (~v124(VarCurr, 0)))) <=> ((~v117(VarCurr)) | (v124(VarCurr, 2) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))), ((v117(VarCurr) => (((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $false))) <=> ((~v117(VarCurr)) | (v124(VarCurr, 2) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))))),
% 14.00/9.19 inference(bind,[status(th)],[])).
% 14.00/9.19 tff(2578,plain,
% 14.00/9.19 (![VarCurr: state_type] : (v117(VarCurr) => (((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : ((~v117(VarCurr)) | (v124(VarCurr, 2) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))),
% 14.00/9.19 inference(quant_intro,[status(thm)],[2577])).
% 14.00/9.19 tff(2579,axiom,(![VarCurr: state_type] : (v117(VarCurr) => (((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4')).
% 14.00/9.19 tff(2580,plain,
% 14.00/9.19 (![VarCurr: state_type] : ((~v117(VarCurr)) | (v124(VarCurr, 2) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))),
% 14.00/9.19 inference(modus_ponens,[status(thm)],[2579, 2578])).
% 14.00/9.19 tff(2581,plain,
% 14.00/9.19 (![VarCurr: state_type] : ((~v117(VarCurr)) | (v124(VarCurr, 2) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))),
% 14.00/9.19 inference(modus_ponens,[status(thm)],[2580, 2576])).
% 14.00/9.19 tff(2582,plain,(
% 14.00/9.19 ![VarCurr: state_type] : ((~v117(VarCurr)) | (v124(VarCurr, 2) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))),
% 14.00/9.19 inference(skolemize,[status(sab)],[2581])).
% 14.00/9.19 tff(2583,plain,
% 14.00/9.19 (![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))),
% 14.00/9.19 inference(modus_ponens,[status(thm)],[2582, 2575])).
% 14.00/9.19 tff(2584,plain,
% 14.00/9.19 (![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))),
% 14.00/9.19 inference(modus_ponens,[status(thm)],[2583, 2573])).
% 14.00/9.19 tff(2585,plain,
% 14.00/9.19 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB3)) | (~(v124(constB3, 0) | (~v124(constB3, 2)) | (~v124(constB3, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB3)) | (~(v124(constB3, 0) | (~v124(constB3, 2)) | (~v124(constB3, 1)))))),
% 14.00/9.19 inference(rewrite,[status(thm)],[])).
% 14.00/9.19 tff(2586,plain,
% 14.00/9.19 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB3)) | (~(v124(constB3, 0) | (~v124(constB3, 2)) | (~v124(constB3, 1)))))),
% 14.00/9.19 inference(quant_inst,[status(thm)],[])).
% 14.00/9.19 tff(2587,plain,
% 14.00/9.19 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB3)) | (~(v124(constB3, 0) | (~v124(constB3, 2)) | (~v124(constB3, 1))))),
% 14.00/9.19 inference(modus_ponens,[status(thm)],[2586, 2585])).
% 14.00/9.19 tff(2588,plain,
% 14.00/9.19 ((~v117(constB3)) | (~(v124(constB3, 0) | (~v124(constB3, 2)) | (~v124(constB3, 1))))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2587, 2584])).
% 14.00/9.19 tff(2589,plain,
% 14.00/9.19 (~(v124(constB3, 0) | (~v124(constB3, 2)) | (~v124(constB3, 1)))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2588, 2571])).
% 14.00/9.19 tff(2590,plain,
% 14.00/9.19 ((v124(constB3, 0) | (~v124(constB3, 2)) | (~v124(constB3, 1))) | v124(constB3, 2)),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2591,plain,
% 14.00/9.19 (v124(constB3, 2)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2590, 2589])).
% 14.00/9.19 tff(2592,plain,
% 14.00/9.19 (((~v121(constB3, 2)) <=> v124(constB3, 2)) | v121(constB3, 2) | (~v124(constB3, 2))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2593,plain,
% 14.00/9.19 (v121(constB3, 2)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2592, 2591, 2157])).
% 14.00/9.19 tff(2594,plain,
% 14.00/9.19 (((~v123(constB4, 2)) <=> v121(constB3, 2)) | v123(constB4, 2) | (~v121(constB3, 2))),
% 14.00/9.19 inference(tautology,[status(thm)],[])).
% 14.00/9.19 tff(2595,plain,
% 14.00/9.19 (v123(constB4, 2)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2594, 2593, 2143])).
% 14.00/9.19 tff(2596,plain,
% 14.00/9.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB3, constB4)) | (v94(constB4) <=> (~((~v95(constB4)) | (~v104(constB4))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB3, constB4)) | (v94(constB4) <=> (~((~v95(constB4)) | (~v104(constB4))))))),
% 14.00/9.19 inference(rewrite,[status(thm)],[])).
% 14.00/9.19 tff(2597,plain,
% 14.00/9.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB3, constB4)) | (v94(constB4) <=> (~((~v95(constB4)) | (~v104(constB4))))))),
% 14.00/9.19 inference(quant_inst,[status(thm)],[])).
% 14.00/9.19 tff(2598,plain,
% 14.00/9.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB3, constB4)) | (v94(constB4) <=> (~((~v95(constB4)) | (~v104(constB4)))))),
% 14.00/9.19 inference(modus_ponens,[status(thm)],[2597, 2596])).
% 14.00/9.19 tff(2599,plain,
% 14.00/9.19 (v94(constB4) <=> (~((~v95(constB4)) | (~v104(constB4))))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2598, 2137, 770])).
% 14.00/9.19 tff(2600,plain,
% 14.00/9.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4))))))),
% 14.00/9.19 inference(rewrite,[status(thm)],[])).
% 14.00/9.19 tff(2601,plain,
% 14.00/9.19 (((~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v96(constB4)) | (~v1(constB4)))))) <=> ((~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4))))))),
% 14.00/9.19 inference(rewrite,[status(thm)],[])).
% 14.00/9.19 tff(2602,plain,
% 14.00/9.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v96(constB4)) | (~v1(constB4))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4)))))))),
% 14.00/9.19 inference(monotonicity,[status(thm)],[2601])).
% 14.00/9.19 tff(2603,plain,
% 14.00/9.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v96(constB4)) | (~v1(constB4))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4))))))),
% 14.00/9.19 inference(transitivity,[status(thm)],[2602, 2600])).
% 14.00/9.19 tff(2604,plain,
% 14.00/9.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v96(constB4)) | (~v1(constB4))))))),
% 14.00/9.19 inference(quant_inst,[status(thm)],[])).
% 14.00/9.19 tff(2605,plain,
% 14.00/9.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4)))))),
% 14.00/9.19 inference(modus_ponens,[status(thm)],[2604, 2603])).
% 14.00/9.19 tff(2606,plain,
% 14.00/9.19 (v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4))))),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2605, 2137, 790])).
% 14.00/9.19 tff(2607,plain,
% 14.00/9.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB3, constB4)) | ((~v96(constB4)) <=> v98(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB3, constB4)) | ((~v96(constB4)) <=> v98(constB4)))),
% 14.00/9.19 inference(rewrite,[status(thm)],[])).
% 14.00/9.19 tff(2608,plain,
% 14.00/9.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB3, constB4)) | ((~v96(constB4)) <=> v98(constB4)))),
% 14.00/9.19 inference(quant_inst,[status(thm)],[])).
% 14.00/9.19 tff(2609,plain,
% 14.00/9.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB3, constB4)) | ((~v96(constB4)) <=> v98(constB4))),
% 14.00/9.19 inference(modus_ponens,[status(thm)],[2608, 2607])).
% 14.00/9.19 tff(2610,plain,
% 14.00/9.19 ((~v96(constB4)) <=> v98(constB4)),
% 14.00/9.19 inference(unit_resolution,[status(thm)],[2609, 2137, 2332])).
% 14.00/9.19 tff(2611,plain,
% 14.00/9.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB3, constB4)) | (v98(constB4) <=> v1(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB3, constB4)) | (v98(constB4) <=> v1(constB3)))),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(2612,plain,
% 14.00/9.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB3, constB4)) | (v98(constB4) <=> v1(constB3)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(2613,plain,
% 14.00/9.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB3, constB4)) | (v98(constB4) <=> v1(constB3))),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[2612, 2611])).
% 14.00/9.20 tff(2614,plain,
% 14.00/9.20 (v98(constB4) <=> v1(constB3)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2613, 2137, 2346])).
% 14.00/9.20 tff(2615,plain,
% 14.00/9.20 ((~(v98(constB4) <=> v1(constB3))) | (~v98(constB4)) | v1(constB3)),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2616,plain,
% 14.00/9.20 ((~(v98(constB4) <=> v1(constB3))) | (~v98(constB4))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2615, 2181])).
% 14.00/9.20 tff(2617,plain,
% 14.00/9.20 (~v98(constB4)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2616, 2614])).
% 14.00/9.20 tff(2618,plain,
% 14.00/9.20 ((~((~v96(constB4)) <=> v98(constB4))) | v96(constB4) | v98(constB4)),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2619,plain,
% 14.00/9.20 (v96(constB4)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2618, 2617, 2610])).
% 14.00/9.20 tff(2620,plain,
% 14.00/9.20 (v1(constB4) <=> v1(constB4)),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(2621,axiom,(v1(constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_4')).
% 14.00/9.20 tff(2622,plain,
% 14.00/9.20 (v1(constB4)),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[2621, 2620])).
% 14.00/9.20 tff(2623,plain,
% 14.00/9.20 ((~((~v1(constB4)) | (~v96(constB4)))) | (~v1(constB4)) | (~v96(constB4))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2624,plain,
% 14.00/9.20 ((~((~v1(constB4)) | (~v96(constB4)))) | (~v96(constB4))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2623, 2622])).
% 14.00/9.20 tff(2625,plain,
% 14.00/9.20 (~((~v1(constB4)) | (~v96(constB4)))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2624, 2619])).
% 14.00/9.20 tff(2626,plain,
% 14.00/9.20 ((~(v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4)))))) | v95(constB4) | ((~v1(constB4)) | (~v96(constB4)))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2627,plain,
% 14.00/9.20 (v95(constB4)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2626, 2625, 2606])).
% 14.00/9.20 tff(2628,plain,
% 14.00/9.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB3, constB4)) | (v104(constB4) <=> v102(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB3, constB4)) | (v104(constB4) <=> v102(constB3)))),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(2629,plain,
% 14.00/9.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB3, constB4)) | (v104(constB4) <=> v102(constB3)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(2630,plain,
% 14.00/9.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB3, constB4)) | (v104(constB4) <=> v102(constB3))),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[2629, 2628])).
% 14.00/9.20 tff(2631,plain,
% 14.00/9.20 (v104(constB4) <=> v102(constB3)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2630, 2137, 2373])).
% 14.00/9.20 tff(2632,plain,
% 14.00/9.20 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB3) <=> (v105(constB3) | v106(constB3)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(2633,plain,
% 14.00/9.20 (v102(constB3) <=> (v105(constB3) | v106(constB3))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2632, 2384])).
% 14.00/9.20 tff(2634,plain,
% 14.00/9.20 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB3) <=> (~((~v107(constB3)) | (~v120(constB3)))))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(2635,plain,
% 14.00/9.20 (v106(constB3) <=> (~((~v107(constB3)) | (~v120(constB3))))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2634, 2396])).
% 14.00/9.20 tff(2636,plain,
% 14.00/9.20 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB3) <=> (v108(constB3) | v119(constB3)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(2637,plain,
% 14.00/9.20 (v107(constB3) <=> (v108(constB3) | v119(constB3))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2636, 2405])).
% 14.00/9.20 tff(2638,plain,
% 14.00/9.20 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB3) <=> (v109(constB3) | v118(constB3)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(2639,plain,
% 14.00/9.20 (v108(constB3) <=> (v109(constB3) | v118(constB3))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2638, 2414])).
% 14.00/9.20 tff(2640,plain,
% 14.00/9.20 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB3) <=> (v110(constB3) | v117(constB3)))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(2641,plain,
% 14.00/9.20 (v109(constB3) <=> (v110(constB3) | v117(constB3))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2640, 2423])).
% 14.00/9.20 tff(2642,plain,
% 14.00/9.20 ((v110(constB3) | v117(constB3)) | (~v117(constB3))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2643,plain,
% 14.00/9.20 (v110(constB3) | v117(constB3)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2642, 2571])).
% 14.00/9.20 tff(2644,plain,
% 14.00/9.20 ((~(v109(constB3) <=> (v110(constB3) | v117(constB3)))) | v109(constB3) | (~(v110(constB3) | v117(constB3)))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2645,plain,
% 14.00/9.20 (v109(constB3)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2644, 2643, 2641])).
% 14.00/9.20 tff(2646,plain,
% 14.00/9.20 ((v109(constB3) | v118(constB3)) | (~v109(constB3))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2647,plain,
% 14.00/9.20 (v109(constB3) | v118(constB3)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2646, 2645])).
% 14.00/9.20 tff(2648,plain,
% 14.00/9.20 ((~(v108(constB3) <=> (v109(constB3) | v118(constB3)))) | v108(constB3) | (~(v109(constB3) | v118(constB3)))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2649,plain,
% 14.00/9.20 (v108(constB3)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2648, 2647, 2639])).
% 14.00/9.20 tff(2650,plain,
% 14.00/9.20 ((v108(constB3) | v119(constB3)) | (~v108(constB3))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2651,plain,
% 14.00/9.20 (v108(constB3) | v119(constB3)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2650, 2649])).
% 14.00/9.20 tff(2652,plain,
% 14.00/9.20 ((~(v107(constB3) <=> (v108(constB3) | v119(constB3)))) | v107(constB3) | (~(v108(constB3) | v119(constB3)))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2653,plain,
% 14.00/9.20 (v107(constB3)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2652, 2651, 2637])).
% 14.00/9.20 tff(2654,plain,
% 14.00/9.20 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB3)) <=> v105(constB3))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(2655,plain,
% 14.00/9.20 ((~v120(constB3)) <=> v105(constB3)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2654, 2484])).
% 14.00/9.20 tff(2656,plain,
% 14.00/9.20 ((~((~v120(constB3)) <=> v105(constB3))) | v120(constB3) | v105(constB3)),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2657,plain,
% 14.00/9.20 ((~((~v120(constB3)) <=> v105(constB3))) | v120(constB3)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2656, 2150])).
% 14.00/9.20 tff(2658,plain,
% 14.00/9.20 (v120(constB3)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2657, 2655])).
% 14.00/9.20 tff(2659,plain,
% 14.00/9.20 ((~((~v107(constB3)) | (~v120(constB3)))) | (~v107(constB3)) | (~v120(constB3))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2660,plain,
% 14.00/9.20 ((~((~v107(constB3)) | (~v120(constB3)))) | (~v107(constB3))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2659, 2658])).
% 14.00/9.20 tff(2661,plain,
% 14.00/9.20 (~((~v107(constB3)) | (~v120(constB3)))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2660, 2653])).
% 14.00/9.20 tff(2662,plain,
% 14.00/9.20 ((~(v106(constB3) <=> (~((~v107(constB3)) | (~v120(constB3)))))) | v106(constB3) | ((~v107(constB3)) | (~v120(constB3)))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2663,plain,
% 14.00/9.20 (v106(constB3)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2662, 2661, 2635])).
% 14.00/9.20 tff(2664,plain,
% 14.00/9.20 ((v105(constB3) | v106(constB3)) | (~v106(constB3))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2665,plain,
% 14.00/9.20 (v105(constB3) | v106(constB3)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2664, 2663])).
% 14.00/9.20 tff(2666,plain,
% 14.00/9.20 ((~(v102(constB3) <=> (v105(constB3) | v106(constB3)))) | v102(constB3) | (~(v105(constB3) | v106(constB3)))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2667,plain,
% 14.00/9.20 (v102(constB3)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2666, 2665, 2633])).
% 14.00/9.20 tff(2668,plain,
% 14.00/9.20 ((~(v104(constB4) <=> v102(constB3))) | v104(constB4) | (~v102(constB3))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2669,plain,
% 14.00/9.20 (v104(constB4)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2668, 2667, 2631])).
% 14.00/9.20 tff(2670,plain,
% 14.00/9.20 ((~((~v95(constB4)) | (~v104(constB4)))) | (~v95(constB4)) | (~v104(constB4))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2671,plain,
% 14.00/9.20 (~((~v95(constB4)) | (~v104(constB4)))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2670, 2669, 2627])).
% 14.00/9.20 tff(2672,plain,
% 14.00/9.20 ((~(v94(constB4) <=> (~((~v95(constB4)) | (~v104(constB4)))))) | v94(constB4) | ((~v95(constB4)) | (~v104(constB4)))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2673,plain,
% 14.00/9.20 (v94(constB4)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2672, 2671, 2599])).
% 14.00/9.20 tff(2674,plain,
% 14.00/9.20 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB4)) | (~(((~v84(constB4, 2)) <=> v123(constB4, 2)) | ((~v84(constB4, 1)) <=> v123(constB4, 1)) | ((~v84(constB4, 0)) <=> v123(constB4, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB4)) | (~(((~v84(constB4, 2)) <=> v123(constB4, 2)) | ((~v84(constB4, 1)) <=> v123(constB4, 1)) | ((~v84(constB4, 0)) <=> v123(constB4, 0)))))),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(2675,plain,
% 14.00/9.20 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB4)) | (~(((~v84(constB4, 2)) <=> v123(constB4, 2)) | ((~v84(constB4, 1)) <=> v123(constB4, 1)) | ((~v84(constB4, 0)) <=> v123(constB4, 0)))))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(2676,plain,
% 14.00/9.20 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB4)) | (~(((~v84(constB4, 2)) <=> v123(constB4, 2)) | ((~v84(constB4, 1)) <=> v123(constB4, 1)) | ((~v84(constB4, 0)) <=> v123(constB4, 0))))),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[2675, 2674])).
% 14.00/9.20 tff(2677,plain,
% 14.00/9.20 ((~v94(constB4)) | (~(((~v84(constB4, 2)) <=> v123(constB4, 2)) | ((~v84(constB4, 1)) <=> v123(constB4, 1)) | ((~v84(constB4, 0)) <=> v123(constB4, 0))))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2676, 2517])).
% 14.00/9.20 tff(2678,plain,
% 14.00/9.20 (~(((~v84(constB4, 2)) <=> v123(constB4, 2)) | ((~v84(constB4, 1)) <=> v123(constB4, 1)) | ((~v84(constB4, 0)) <=> v123(constB4, 0)))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2677, 2673])).
% 14.00/9.20 tff(2679,plain,
% 14.00/9.20 ((((~v84(constB4, 2)) <=> v123(constB4, 2)) | ((~v84(constB4, 1)) <=> v123(constB4, 1)) | ((~v84(constB4, 0)) <=> v123(constB4, 0))) | (~((~v84(constB4, 2)) <=> v123(constB4, 2)))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2680,plain,
% 14.00/9.20 (~((~v84(constB4, 2)) <=> v123(constB4, 2))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2679, 2678])).
% 14.00/9.20 tff(2681,plain,
% 14.00/9.20 (((~v84(constB4, 2)) <=> v123(constB4, 2)) | v84(constB4, 2) | (~v123(constB4, 2))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2682,plain,
% 14.00/9.20 (v84(constB4, 2)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2681, 2680, 2595])).
% 14.00/9.20 tff(2683,plain,
% 14.00/9.20 (((~v84(constB5, 2)) <=> v84(constB4, 2)) | v84(constB5, 2) | (~v84(constB4, 2))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2684,plain,
% 14.00/9.20 (v84(constB5, 2)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2683, 2682, 2134])).
% 14.00/9.20 tff(2685,plain,
% 14.00/9.20 ((v84(constB5, 0) | v84(constB5, 1) | v84(constB5, 2)) | (~v84(constB5, 2))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2686,plain,
% 14.00/9.20 (v84(constB5, 0) | v84(constB5, 1) | v84(constB5, 2)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2685, 2684])).
% 14.00/9.20 tff(2687,plain,
% 14.00/9.20 ((~(v113(constB5) <=> (~(v84(constB5, 0) | v84(constB5, 1) | v84(constB5, 2))))) | (~v113(constB5)) | (~(v84(constB5, 0) | v84(constB5, 1) | v84(constB5, 2)))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2688,plain,
% 14.00/9.20 (~v113(constB5)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2687, 2686, 2098])).
% 14.00/9.20 tff(2689,plain,
% 14.00/9.20 (^[VarCurr: state_type] : refl((v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2))))) <=> (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2))))))),
% 14.00/9.20 inference(bind,[status(th)],[])).
% 14.00/9.20 tff(2690,plain,
% 14.00/9.20 (![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2))))) <=> ![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))),
% 14.00/9.20 inference(quant_intro,[status(thm)],[2689])).
% 14.00/9.20 tff(2691,plain,
% 14.00/9.20 (^[VarCurr: state_type] : rewrite((v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))) <=> (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2))))))),
% 14.00/9.20 inference(bind,[status(th)],[])).
% 14.00/9.20 tff(2692,plain,
% 14.00/9.20 (![VarCurr: state_type] : (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))) <=> ![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))),
% 14.00/9.20 inference(quant_intro,[status(thm)],[2691])).
% 14.00/9.20 tff(2693,plain,
% 14.00/9.20 (![VarCurr: state_type] : (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))) <=> ![VarCurr: state_type] : (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(2694,plain,
% 14.00/9.20 (^[VarCurr: state_type] : rewrite((v118(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $true))) <=> (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0))))),
% 14.00/9.20 inference(bind,[status(th)],[])).
% 14.00/9.20 tff(2695,plain,
% 14.00/9.20 (![VarCurr: state_type] : (v118(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 14.00/9.20 inference(quant_intro,[status(thm)],[2694])).
% 14.00/9.20 tff(2696,axiom,(![VarCurr: state_type] : (v118(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7')).
% 14.00/9.20 tff(2697,plain,
% 14.00/9.20 (![VarCurr: state_type] : (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[2696, 2695])).
% 14.00/9.20 tff(2698,plain,
% 14.00/9.20 (![VarCurr: state_type] : (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[2697, 2693])).
% 14.00/9.20 tff(2699,plain,(
% 14.00/9.20 ![VarCurr: state_type] : (v118(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & v84(VarCurr, 0)))),
% 14.00/9.20 inference(skolemize,[status(sab)],[2698])).
% 14.00/9.20 tff(2700,plain,
% 14.00/9.20 (![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[2699, 2692])).
% 14.00/9.20 tff(2701,plain,
% 14.00/9.20 (![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[2700, 2690])).
% 14.00/9.20 tff(2702,plain,
% 14.00/9.20 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB5) <=> (~(v84(constB5, 1) | (~v84(constB5, 2)) | (~v84(constB5, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB5) <=> (~(v84(constB5, 1) | (~v84(constB5, 2)) | (~v84(constB5, 0))))))),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(2703,plain,
% 14.00/9.20 ((v118(constB5) <=> (~(v84(constB5, 1) | (~v84(constB5, 0)) | (~v84(constB5, 2))))) <=> (v118(constB5) <=> (~(v84(constB5, 1) | (~v84(constB5, 2)) | (~v84(constB5, 0)))))),
% 14.00/9.20 inference(rewrite,[status(thm)],[])).
% 14.00/9.20 tff(2704,plain,
% 14.00/9.20 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB5) <=> (~(v84(constB5, 1) | (~v84(constB5, 0)) | (~v84(constB5, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB5) <=> (~(v84(constB5, 1) | (~v84(constB5, 2)) | (~v84(constB5, 0))))))),
% 14.00/9.20 inference(monotonicity,[status(thm)],[2703])).
% 14.00/9.20 tff(2705,plain,
% 14.00/9.20 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB5) <=> (~(v84(constB5, 1) | (~v84(constB5, 0)) | (~v84(constB5, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB5) <=> (~(v84(constB5, 1) | (~v84(constB5, 2)) | (~v84(constB5, 0))))))),
% 14.00/9.20 inference(transitivity,[status(thm)],[2704, 2702])).
% 14.00/9.20 tff(2706,plain,
% 14.00/9.20 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB5) <=> (~(v84(constB5, 1) | (~v84(constB5, 0)) | (~v84(constB5, 2)))))),
% 14.00/9.20 inference(quant_inst,[status(thm)],[])).
% 14.00/9.20 tff(2707,plain,
% 14.00/9.20 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB5) <=> (~(v84(constB5, 1) | (~v84(constB5, 2)) | (~v84(constB5, 0)))))),
% 14.00/9.20 inference(modus_ponens,[status(thm)],[2706, 2705])).
% 14.00/9.20 tff(2708,plain,
% 14.00/9.20 (v118(constB5) <=> (~(v84(constB5, 1) | (~v84(constB5, 2)) | (~v84(constB5, 0))))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2707, 2701])).
% 14.00/9.20 tff(2709,plain,
% 14.00/9.20 ((((~v84(constB5, 1)) <=> v84(constB4, 1)) | ((~v84(constB5, 2)) <=> v84(constB4, 2)) | ((~v84(constB5, 0)) <=> v84(constB4, 0))) | (~((~v84(constB5, 1)) <=> v84(constB4, 1)))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2710,plain,
% 14.00/9.20 (~((~v84(constB5, 1)) <=> v84(constB4, 1))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2709, 2132])).
% 14.00/9.20 tff(2711,plain,
% 14.00/9.20 ((((~v123(constB4, 2)) <=> v121(constB3, 2)) | ((~v123(constB4, 1)) <=> v121(constB3, 1)) | ((~v123(constB4, 0)) <=> v121(constB3, 0))) | (~((~v123(constB4, 1)) <=> v121(constB3, 1)))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2712,plain,
% 14.00/9.20 (~((~v123(constB4, 1)) <=> v121(constB3, 1))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2711, 2141])).
% 14.00/9.20 tff(2713,plain,
% 14.00/9.20 ((((~v121(constB3, 2)) <=> v124(constB3, 2)) | ((~v121(constB3, 0)) <=> v124(constB3, 0)) | ((~v121(constB3, 1)) <=> v124(constB3, 1))) | (~((~v121(constB3, 1)) <=> v124(constB3, 1)))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2714,plain,
% 14.00/9.20 (~((~v121(constB3, 1)) <=> v124(constB3, 1))),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2713, 2155])).
% 14.00/9.20 tff(2715,plain,
% 14.00/9.20 ((v124(constB3, 0) | (~v124(constB3, 2)) | (~v124(constB3, 1))) | v124(constB3, 1)),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2716,plain,
% 14.00/9.20 (v124(constB3, 1)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2715, 2589])).
% 14.00/9.20 tff(2717,plain,
% 14.00/9.20 (((~v121(constB3, 1)) <=> v124(constB3, 1)) | v121(constB3, 1) | (~v124(constB3, 1))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2718,plain,
% 14.00/9.20 (v121(constB3, 1)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2717, 2716, 2714])).
% 14.00/9.20 tff(2719,plain,
% 14.00/9.20 (((~v123(constB4, 1)) <=> v121(constB3, 1)) | v123(constB4, 1) | (~v121(constB3, 1))),
% 14.00/9.20 inference(tautology,[status(thm)],[])).
% 14.00/9.20 tff(2720,plain,
% 14.00/9.20 (v123(constB4, 1)),
% 14.00/9.20 inference(unit_resolution,[status(thm)],[2719, 2718, 2712])).
% 14.00/9.20 tff(2721,plain,
% 14.00/9.20 ((((~v84(constB4, 2)) <=> v123(constB4, 2)) | ((~v84(constB4, 1)) <=> v123(constB4, 1)) | ((~v84(constB4, 0)) <=> v123(constB4, 0))) | (~((~v84(constB4, 1)) <=> v123(constB4, 1)))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(2722,plain,
% 14.00/9.21 (~((~v84(constB4, 1)) <=> v123(constB4, 1))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[2721, 2678])).
% 14.00/9.21 tff(2723,plain,
% 14.00/9.21 (((~v84(constB4, 1)) <=> v123(constB4, 1)) | v84(constB4, 1) | (~v123(constB4, 1))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(2724,plain,
% 14.00/9.21 (v84(constB4, 1)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[2723, 2722, 2720])).
% 14.00/9.21 tff(2725,plain,
% 14.00/9.21 (((~v84(constB5, 1)) <=> v84(constB4, 1)) | v84(constB5, 1) | (~v84(constB4, 1))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(2726,plain,
% 14.00/9.21 (v84(constB5, 1)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[2725, 2724, 2710])).
% 14.00/9.21 tff(2727,plain,
% 14.00/9.21 ((v84(constB5, 1) | (~v84(constB5, 2)) | (~v84(constB5, 0))) | (~v84(constB5, 1))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(2728,plain,
% 14.00/9.21 (v84(constB5, 1) | (~v84(constB5, 2)) | (~v84(constB5, 0))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[2727, 2726])).
% 14.00/9.21 tff(2729,plain,
% 14.00/9.21 ((~(v118(constB5) <=> (~(v84(constB5, 1) | (~v84(constB5, 2)) | (~v84(constB5, 0)))))) | (~v118(constB5)) | (~(v84(constB5, 1) | (~v84(constB5, 2)) | (~v84(constB5, 0))))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(2730,plain,
% 14.00/9.21 (~v118(constB5)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[2729, 2728, 2708])).
% 14.00/9.21 tff(2731,plain,
% 14.00/9.21 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB5) <=> (~(v84(constB5, 1) | v84(constB5, 0) | (~v84(constB5, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB5) <=> (~(v84(constB5, 1) | v84(constB5, 0) | (~v84(constB5, 2))))))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(2732,plain,
% 14.00/9.21 ((v117(constB5) <=> (~(v84(constB5, 0) | v84(constB5, 1) | (~v84(constB5, 2))))) <=> (v117(constB5) <=> (~(v84(constB5, 1) | v84(constB5, 0) | (~v84(constB5, 2)))))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(2733,plain,
% 14.00/9.21 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB5) <=> (~(v84(constB5, 0) | v84(constB5, 1) | (~v84(constB5, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB5) <=> (~(v84(constB5, 1) | v84(constB5, 0) | (~v84(constB5, 2))))))),
% 14.00/9.21 inference(monotonicity,[status(thm)],[2732])).
% 14.00/9.21 tff(2734,plain,
% 14.00/9.21 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB5) <=> (~(v84(constB5, 0) | v84(constB5, 1) | (~v84(constB5, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB5) <=> (~(v84(constB5, 1) | v84(constB5, 0) | (~v84(constB5, 2))))))),
% 14.00/9.21 inference(transitivity,[status(thm)],[2733, 2731])).
% 14.00/9.21 tff(2735,plain,
% 14.00/9.21 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB5) <=> (~(v84(constB5, 0) | v84(constB5, 1) | (~v84(constB5, 2)))))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(2736,plain,
% 14.00/9.21 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB5) <=> (~(v84(constB5, 1) | v84(constB5, 0) | (~v84(constB5, 2)))))),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[2735, 2734])).
% 14.00/9.21 tff(2737,plain,
% 14.00/9.21 (v117(constB5) <=> (~(v84(constB5, 1) | v84(constB5, 0) | (~v84(constB5, 2))))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[2736, 1199])).
% 14.00/9.21 tff(2738,plain,
% 14.00/9.21 ((v84(constB5, 1) | v84(constB5, 0) | (~v84(constB5, 2))) | (~v84(constB5, 1))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(2739,plain,
% 14.00/9.21 (v84(constB5, 1) | v84(constB5, 0) | (~v84(constB5, 2))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[2738, 2726])).
% 14.00/9.21 tff(2740,plain,
% 14.00/9.21 ((~(v117(constB5) <=> (~(v84(constB5, 1) | v84(constB5, 0) | (~v84(constB5, 2)))))) | (~v117(constB5)) | (~(v84(constB5, 1) | v84(constB5, 0) | (~v84(constB5, 2))))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(2741,plain,
% 14.00/9.21 (~v117(constB5)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[2740, 2739, 2737])).
% 14.00/9.21 tff(2742,plain,
% 14.00/9.21 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB5) <=> (~(v84(constB5, 2) | (~v84(constB5, 1)) | (~v84(constB5, 0)))))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(2743,plain,
% 14.00/9.21 (v116(constB5) <=> (~(v84(constB5, 2) | (~v84(constB5, 1)) | (~v84(constB5, 0))))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[2742, 911])).
% 14.00/9.21 tff(2744,plain,
% 14.00/9.21 ((v84(constB5, 2) | (~v84(constB5, 1)) | (~v84(constB5, 0))) | (~v84(constB5, 2))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(2745,plain,
% 14.00/9.21 (v84(constB5, 2) | (~v84(constB5, 1)) | (~v84(constB5, 0))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[2744, 2684])).
% 14.00/9.21 tff(2746,plain,
% 14.00/9.21 ((~(v116(constB5) <=> (~(v84(constB5, 2) | (~v84(constB5, 1)) | (~v84(constB5, 0)))))) | (~v116(constB5)) | (~(v84(constB5, 2) | (~v84(constB5, 1)) | (~v84(constB5, 0))))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(2747,plain,
% 14.00/9.21 (~v116(constB5)),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[2746, 2745, 2743])).
% 14.00/9.21 tff(2748,plain,
% 14.00/9.21 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB5) <=> (~(v84(constB5, 2) | v84(constB5, 0) | (~v84(constB5, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB5) <=> (~(v84(constB5, 2) | v84(constB5, 0) | (~v84(constB5, 1))))))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(2749,plain,
% 14.00/9.21 ((v115(constB5) <=> (~(v84(constB5, 0) | v84(constB5, 2) | (~v84(constB5, 1))))) <=> (v115(constB5) <=> (~(v84(constB5, 2) | v84(constB5, 0) | (~v84(constB5, 1)))))),
% 14.00/9.21 inference(rewrite,[status(thm)],[])).
% 14.00/9.21 tff(2750,plain,
% 14.00/9.21 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB5) <=> (~(v84(constB5, 0) | v84(constB5, 2) | (~v84(constB5, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB5) <=> (~(v84(constB5, 2) | v84(constB5, 0) | (~v84(constB5, 1))))))),
% 14.00/9.21 inference(monotonicity,[status(thm)],[2749])).
% 14.00/9.21 tff(2751,plain,
% 14.00/9.21 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB5) <=> (~(v84(constB5, 0) | v84(constB5, 2) | (~v84(constB5, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB5) <=> (~(v84(constB5, 2) | v84(constB5, 0) | (~v84(constB5, 1))))))),
% 14.00/9.21 inference(transitivity,[status(thm)],[2750, 2748])).
% 14.00/9.21 tff(2752,plain,
% 14.00/9.21 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB5) <=> (~(v84(constB5, 0) | v84(constB5, 2) | (~v84(constB5, 1)))))),
% 14.00/9.21 inference(quant_inst,[status(thm)],[])).
% 14.00/9.21 tff(2753,plain,
% 14.00/9.21 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB5) <=> (~(v84(constB5, 2) | v84(constB5, 0) | (~v84(constB5, 1)))))),
% 14.00/9.21 inference(modus_ponens,[status(thm)],[2752, 2751])).
% 14.00/9.21 tff(2754,plain,
% 14.00/9.21 (v115(constB5) <=> (~(v84(constB5, 2) | v84(constB5, 0) | (~v84(constB5, 1))))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[2753, 985])).
% 14.00/9.21 tff(2755,plain,
% 14.00/9.21 ((v84(constB5, 2) | v84(constB5, 0) | (~v84(constB5, 1))) | (~v84(constB5, 2))),
% 14.00/9.21 inference(tautology,[status(thm)],[])).
% 14.00/9.21 tff(2756,plain,
% 14.00/9.21 (v84(constB5, 2) | v84(constB5, 0) | (~v84(constB5, 1))),
% 14.00/9.21 inference(unit_resolution,[status(thm)],[2755, 2684])).
% 14.00/9.21 tff(2757,plain,
% 14.00/9.21 ((~(v115(constB5) <=> (~(v84(constB5, 2) | v84(constB5, 0) | (~v84(constB5, 1)))))) | (~v115(constB5)) | (~(v84(constB5, 2) | v84(constB5, 0) | (~v84(constB5, 1))))),
% 14.08/9.21 inference(tautology,[status(thm)],[])).
% 14.08/9.21 tff(2758,plain,
% 14.08/9.21 (~v115(constB5)),
% 14.08/9.21 inference(unit_resolution,[status(thm)],[2757, 2756, 2754])).
% 14.08/9.21 tff(2759,plain,
% 14.08/9.21 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB5) <=> (~(v84(constB5, 1) | v84(constB5, 2) | (~v84(constB5, 0)))))),
% 14.08/9.21 inference(quant_inst,[status(thm)],[])).
% 14.08/9.21 tff(2760,plain,
% 14.08/9.21 (v114(constB5) <=> (~(v84(constB5, 1) | v84(constB5, 2) | (~v84(constB5, 0))))),
% 14.08/9.21 inference(unit_resolution,[status(thm)],[2759, 1064])).
% 14.08/9.21 tff(2761,plain,
% 14.08/9.21 ((v84(constB5, 1) | v84(constB5, 2) | (~v84(constB5, 0))) | (~v84(constB5, 2))),
% 14.08/9.21 inference(tautology,[status(thm)],[])).
% 14.08/9.21 tff(2762,plain,
% 14.08/9.21 (v84(constB5, 1) | v84(constB5, 2) | (~v84(constB5, 0))),
% 14.08/9.21 inference(unit_resolution,[status(thm)],[2761, 2684])).
% 14.08/9.21 tff(2763,plain,
% 14.08/9.21 ((~(v114(constB5) <=> (~(v84(constB5, 1) | v84(constB5, 2) | (~v84(constB5, 0)))))) | (~v114(constB5)) | (~(v84(constB5, 1) | v84(constB5, 2) | (~v84(constB5, 0))))),
% 14.08/9.21 inference(tautology,[status(thm)],[])).
% 14.08/9.21 tff(2764,plain,
% 14.08/9.21 (~v114(constB5)),
% 14.08/9.21 inference(unit_resolution,[status(thm)],[2763, 2762, 2760])).
% 14.08/9.21 tff(2765,plain,
% 14.08/9.21 (^[VarCurr: state_type] : refl((v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0))))) <=> (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0))))))),
% 14.08/9.21 inference(bind,[status(th)],[])).
% 14.08/9.21 tff(2766,plain,
% 14.08/9.21 (![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0))))) <=> ![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))),
% 14.08/9.21 inference(quant_intro,[status(thm)],[2765])).
% 14.08/9.21 tff(2767,plain,
% 14.08/9.21 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr))) <=> (~(v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)))), ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) <=> (~(~(v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)))))), rewrite((~(~(v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)))) <=> (v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr))), ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) <=> (v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)))), rewrite(((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0)) <=> (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0))))), (((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0))) <=> ((v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0))))))), rewrite(((v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0))))) <=> (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))), (((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0))) <=> (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))))),
% 14.08/9.21 inference(bind,[status(th)],[])).
% 14.08/9.21 tff(2768,plain,
% 14.08/9.21 (![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0))) <=> ![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))),
% 14.08/9.21 inference(quant_intro,[status(thm)],[2767])).
% 14.08/9.21 tff(2769,plain,
% 14.08/9.21 (![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0)))),
% 14.08/9.21 inference(rewrite,[status(thm)],[])).
% 14.08/9.21 tff(2770,plain,
% 14.08/9.21 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)))), (((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) <=> (((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr))) & (~v116(VarCurr))))), rewrite((((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr))) & (~v116(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)))), (((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr))))), ((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) <=> (((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr))) & (~v117(VarCurr))))), rewrite((((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr))) & (~v117(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)))), ((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr))))), (((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) <=> (((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr))) & (~v118(VarCurr))))), rewrite((((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr))) & (~v118(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))), (((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr))))), trans(monotonicity(rewrite(((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $false)) <=> ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)))), rewrite((v124(VarCurr, 0) <=> $true) <=> v124(VarCurr, 0)), ((((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $true)) <=> (((~v124(VarCurr, 2)) & (~v124(VarCurr, 1))) & v124(VarCurr, 0)))), rewrite((((~v124(VarCurr, 2)) & (~v124(VarCurr, 1))) & v124(VarCurr, 0)) <=> ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0))), ((((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $true)) <=> ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0)))), ((((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) => (((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $true))) <=> (((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr))) => ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0))))), rewrite((((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr))) => ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0))) <=> ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0)))), ((((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) => (((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $true))) <=> ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0)))))),
% 14.08/9.21 inference(bind,[status(th)],[])).
% 14.08/9.21 tff(2771,plain,
% 14.08/9.21 (![VarCurr: state_type] : (((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) => (((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0)))),
% 14.08/9.21 inference(quant_intro,[status(thm)],[2770])).
% 14.08/9.21 tff(2772,axiom,(![VarCurr: state_type] : (((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) => (((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6')).
% 14.08/9.21 tff(2773,plain,
% 14.08/9.21 (![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0)))),
% 14.08/9.21 inference(modus_ponens,[status(thm)],[2772, 2771])).
% 14.08/9.21 tff(2774,plain,
% 14.08/9.21 (![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0)))),
% 14.08/9.21 inference(modus_ponens,[status(thm)],[2773, 2769])).
% 14.08/9.21 tff(2775,plain,(
% 14.08/9.21 ![VarCurr: state_type] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ((~v124(VarCurr, 2)) & (~v124(VarCurr, 1)) & v124(VarCurr, 0)))),
% 14.08/9.21 inference(skolemize,[status(sab)],[2774])).
% 14.08/9.21 tff(2776,plain,
% 14.08/9.21 (![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))),
% 14.08/9.21 inference(modus_ponens,[status(thm)],[2775, 2768])).
% 14.08/9.21 tff(2777,plain,
% 14.08/9.21 (![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))),
% 14.08/9.21 inference(modus_ponens,[status(thm)],[2776, 2766])).
% 14.08/9.21 tff(2778,plain,
% 14.08/9.21 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB5) | v114(constB5) | v115(constB5) | v116(constB5) | v117(constB5) | v118(constB5) | (~(v124(constB5, 2) | v124(constB5, 1) | (~v124(constB5, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB5) | v114(constB5) | v115(constB5) | v116(constB5) | v117(constB5) | v118(constB5) | (~(v124(constB5, 2) | v124(constB5, 1) | (~v124(constB5, 0)))))),
% 14.08/9.22 inference(rewrite,[status(thm)],[])).
% 14.08/9.22 tff(2779,plain,
% 14.08/9.22 ((v118(constB5) | v117(constB5) | v116(constB5) | v115(constB5) | v114(constB5) | v113(constB5) | (~(v124(constB5, 2) | v124(constB5, 1) | (~v124(constB5, 0))))) <=> (v113(constB5) | v114(constB5) | v115(constB5) | v116(constB5) | v117(constB5) | v118(constB5) | (~(v124(constB5, 2) | v124(constB5, 1) | (~v124(constB5, 0)))))),
% 14.08/9.22 inference(rewrite,[status(thm)],[])).
% 14.08/9.22 tff(2780,plain,
% 14.08/9.22 ((~(v124(constB5, 1) | v124(constB5, 2) | (~v124(constB5, 0)))) <=> (~(v124(constB5, 2) | v124(constB5, 1) | (~v124(constB5, 0))))),
% 14.08/9.22 inference(rewrite,[status(thm)],[])).
% 14.08/9.22 tff(2781,plain,
% 14.08/9.22 ((v118(constB5) | v117(constB5) | v116(constB5) | v115(constB5) | v114(constB5) | v113(constB5) | (~(v124(constB5, 1) | v124(constB5, 2) | (~v124(constB5, 0))))) <=> (v118(constB5) | v117(constB5) | v116(constB5) | v115(constB5) | v114(constB5) | v113(constB5) | (~(v124(constB5, 2) | v124(constB5, 1) | (~v124(constB5, 0)))))),
% 14.08/9.22 inference(monotonicity,[status(thm)],[2780])).
% 14.08/9.22 tff(2782,plain,
% 14.08/9.22 ((v118(constB5) | v117(constB5) | v116(constB5) | v115(constB5) | v114(constB5) | v113(constB5) | (~(v124(constB5, 1) | v124(constB5, 2) | (~v124(constB5, 0))))) <=> (v113(constB5) | v114(constB5) | v115(constB5) | v116(constB5) | v117(constB5) | v118(constB5) | (~(v124(constB5, 2) | v124(constB5, 1) | (~v124(constB5, 0)))))),
% 14.08/9.22 inference(transitivity,[status(thm)],[2781, 2779])).
% 14.08/9.22 tff(2783,plain,
% 14.08/9.22 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB5) | v117(constB5) | v116(constB5) | v115(constB5) | v114(constB5) | v113(constB5) | (~(v124(constB5, 1) | v124(constB5, 2) | (~v124(constB5, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB5) | v114(constB5) | v115(constB5) | v116(constB5) | v117(constB5) | v118(constB5) | (~(v124(constB5, 2) | v124(constB5, 1) | (~v124(constB5, 0))))))),
% 14.08/9.22 inference(monotonicity,[status(thm)],[2782])).
% 14.08/9.22 tff(2784,plain,
% 14.08/9.22 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB5) | v117(constB5) | v116(constB5) | v115(constB5) | v114(constB5) | v113(constB5) | (~(v124(constB5, 1) | v124(constB5, 2) | (~v124(constB5, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB5) | v114(constB5) | v115(constB5) | v116(constB5) | v117(constB5) | v118(constB5) | (~(v124(constB5, 2) | v124(constB5, 1) | (~v124(constB5, 0)))))),
% 14.08/9.22 inference(transitivity,[status(thm)],[2783, 2778])).
% 14.08/9.22 tff(2785,plain,
% 14.08/9.22 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB5) | v117(constB5) | v116(constB5) | v115(constB5) | v114(constB5) | v113(constB5) | (~(v124(constB5, 1) | v124(constB5, 2) | (~v124(constB5, 0)))))),
% 14.08/9.22 inference(quant_inst,[status(thm)],[])).
% 14.08/9.22 tff(2786,plain,
% 14.08/9.22 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB5) | v114(constB5) | v115(constB5) | v116(constB5) | v117(constB5) | v118(constB5) | (~(v124(constB5, 2) | v124(constB5, 1) | (~v124(constB5, 0))))),
% 14.08/9.22 inference(modus_ponens,[status(thm)],[2785, 2784])).
% 14.08/9.22 tff(2787,plain,
% 14.08/9.22 (v113(constB5) | v114(constB5) | v115(constB5) | v116(constB5) | v117(constB5) | v118(constB5) | (~(v124(constB5, 2) | v124(constB5, 1) | (~v124(constB5, 0))))),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2786, 2777])).
% 14.08/9.22 tff(2788,plain,
% 14.08/9.22 (~(v124(constB5, 2) | v124(constB5, 1) | (~v124(constB5, 0)))),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2787, 2764, 2758, 2747, 2741, 2730, 2688])).
% 14.08/9.22 tff(2789,plain,
% 14.08/9.22 ((v124(constB5, 2) | v124(constB5, 1) | (~v124(constB5, 0))) | (~v124(constB5, 2))),
% 14.08/9.22 inference(tautology,[status(thm)],[])).
% 14.08/9.22 tff(2790,plain,
% 14.08/9.22 (~v124(constB5, 2)),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2789, 2788])).
% 14.08/9.22 tff(2791,plain,
% 14.08/9.22 (((~v121(constB5, 2)) <=> v124(constB5, 2)) | (~v121(constB5, 2)) | v124(constB5, 2)),
% 14.08/9.22 inference(tautology,[status(thm)],[])).
% 14.08/9.22 tff(2792,plain,
% 14.08/9.22 (~v121(constB5, 2)),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2791, 2790, 2096])).
% 14.08/9.22 tff(2793,plain,
% 14.08/9.22 (((~v123(constB6, 2)) <=> v121(constB5, 2)) | (~v123(constB6, 2)) | v121(constB5, 2)),
% 14.08/9.22 inference(tautology,[status(thm)],[])).
% 14.08/9.22 tff(2794,plain,
% 14.08/9.22 (~v123(constB6, 2)),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2793, 2792, 2082])).
% 14.08/9.22 tff(2795,plain,
% 14.08/9.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB5, constB6)) | (v94(constB6) <=> (~((~v95(constB6)) | (~v104(constB6))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB5, constB6)) | (v94(constB6) <=> (~((~v95(constB6)) | (~v104(constB6))))))),
% 14.08/9.22 inference(rewrite,[status(thm)],[])).
% 14.08/9.22 tff(2796,plain,
% 14.08/9.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB5, constB6)) | (v94(constB6) <=> (~((~v95(constB6)) | (~v104(constB6))))))),
% 14.08/9.22 inference(quant_inst,[status(thm)],[])).
% 14.08/9.22 tff(2797,plain,
% 14.08/9.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB5, constB6)) | (v94(constB6) <=> (~((~v95(constB6)) | (~v104(constB6)))))),
% 14.08/9.22 inference(modus_ponens,[status(thm)],[2796, 2795])).
% 14.08/9.22 tff(2798,plain,
% 14.08/9.22 (v94(constB6) <=> (~((~v95(constB6)) | (~v104(constB6))))),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2797, 2076, 770])).
% 14.08/9.22 tff(2799,plain,
% 14.08/9.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6))))))),
% 14.08/9.22 inference(rewrite,[status(thm)],[])).
% 14.08/9.22 tff(2800,plain,
% 14.08/9.22 (((~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v96(constB6)) | (~v1(constB6)))))) <=> ((~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6))))))),
% 14.08/9.22 inference(rewrite,[status(thm)],[])).
% 14.08/9.22 tff(2801,plain,
% 14.08/9.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v96(constB6)) | (~v1(constB6))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6)))))))),
% 14.08/9.22 inference(monotonicity,[status(thm)],[2800])).
% 14.08/9.22 tff(2802,plain,
% 14.08/9.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v96(constB6)) | (~v1(constB6))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6))))))),
% 14.08/9.22 inference(transitivity,[status(thm)],[2801, 2799])).
% 14.08/9.22 tff(2803,plain,
% 14.08/9.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v96(constB6)) | (~v1(constB6))))))),
% 14.08/9.22 inference(quant_inst,[status(thm)],[])).
% 14.08/9.22 tff(2804,plain,
% 14.08/9.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6)))))),
% 14.08/9.22 inference(modus_ponens,[status(thm)],[2803, 2802])).
% 14.08/9.22 tff(2805,plain,
% 14.08/9.22 (v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6))))),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2804, 2076, 790])).
% 14.08/9.22 tff(2806,plain,
% 14.08/9.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB5, constB6)) | ((~v96(constB6)) <=> v98(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB5, constB6)) | ((~v96(constB6)) <=> v98(constB6)))),
% 14.08/9.22 inference(rewrite,[status(thm)],[])).
% 14.08/9.22 tff(2807,plain,
% 14.08/9.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB5, constB6)) | ((~v96(constB6)) <=> v98(constB6)))),
% 14.08/9.22 inference(quant_inst,[status(thm)],[])).
% 14.08/9.22 tff(2808,plain,
% 14.08/9.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB5, constB6)) | ((~v96(constB6)) <=> v98(constB6))),
% 14.08/9.22 inference(modus_ponens,[status(thm)],[2807, 2806])).
% 14.08/9.22 tff(2809,plain,
% 14.08/9.22 ((~v96(constB6)) <=> v98(constB6)),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2808, 2076, 2332])).
% 14.08/9.22 tff(2810,plain,
% 14.08/9.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB5, constB6)) | (v98(constB6) <=> v1(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB5, constB6)) | (v98(constB6) <=> v1(constB5)))),
% 14.08/9.22 inference(rewrite,[status(thm)],[])).
% 14.08/9.22 tff(2811,plain,
% 14.08/9.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB5, constB6)) | (v98(constB6) <=> v1(constB5)))),
% 14.08/9.22 inference(quant_inst,[status(thm)],[])).
% 14.08/9.22 tff(2812,plain,
% 14.08/9.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB5, constB6)) | (v98(constB6) <=> v1(constB5))),
% 14.08/9.22 inference(modus_ponens,[status(thm)],[2811, 2810])).
% 14.08/9.22 tff(2813,plain,
% 14.08/9.22 (v98(constB6) <=> v1(constB5)),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2812, 2076, 2346])).
% 14.08/9.22 tff(2814,plain,
% 14.08/9.22 ((~(v98(constB6) <=> v1(constB5))) | (~v98(constB6)) | v1(constB5)),
% 14.08/9.22 inference(tautology,[status(thm)],[])).
% 14.08/9.22 tff(2815,plain,
% 14.08/9.22 ((~(v98(constB6) <=> v1(constB5))) | (~v98(constB6))),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2814, 2115])).
% 14.08/9.22 tff(2816,plain,
% 14.08/9.22 (~v98(constB6)),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2815, 2813])).
% 14.08/9.22 tff(2817,plain,
% 14.08/9.22 ((~((~v96(constB6)) <=> v98(constB6))) | v96(constB6) | v98(constB6)),
% 14.08/9.22 inference(tautology,[status(thm)],[])).
% 14.08/9.22 tff(2818,plain,
% 14.08/9.22 (v96(constB6)),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2817, 2816, 2809])).
% 14.08/9.22 tff(2819,plain,
% 14.08/9.22 (v1(constB6) <=> v1(constB6)),
% 14.08/9.22 inference(rewrite,[status(thm)],[])).
% 14.08/9.22 tff(2820,axiom,(v1(constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_6')).
% 14.08/9.22 tff(2821,plain,
% 14.08/9.22 (v1(constB6)),
% 14.08/9.22 inference(modus_ponens,[status(thm)],[2820, 2819])).
% 14.08/9.22 tff(2822,plain,
% 14.08/9.22 ((~((~v1(constB6)) | (~v96(constB6)))) | (~v1(constB6)) | (~v96(constB6))),
% 14.08/9.22 inference(tautology,[status(thm)],[])).
% 14.08/9.22 tff(2823,plain,
% 14.08/9.22 ((~((~v1(constB6)) | (~v96(constB6)))) | (~v96(constB6))),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2822, 2821])).
% 14.08/9.22 tff(2824,plain,
% 14.08/9.22 (~((~v1(constB6)) | (~v96(constB6)))),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2823, 2818])).
% 14.08/9.22 tff(2825,plain,
% 14.08/9.22 ((~(v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6)))))) | v95(constB6) | ((~v1(constB6)) | (~v96(constB6)))),
% 14.08/9.22 inference(tautology,[status(thm)],[])).
% 14.08/9.22 tff(2826,plain,
% 14.08/9.22 (v95(constB6)),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2825, 2824, 2805])).
% 14.08/9.22 tff(2827,plain,
% 14.08/9.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB5, constB6)) | (v104(constB6) <=> v102(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB5, constB6)) | (v104(constB6) <=> v102(constB5)))),
% 14.08/9.22 inference(rewrite,[status(thm)],[])).
% 14.08/9.22 tff(2828,plain,
% 14.08/9.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB5, constB6)) | (v104(constB6) <=> v102(constB5)))),
% 14.08/9.22 inference(quant_inst,[status(thm)],[])).
% 14.08/9.22 tff(2829,plain,
% 14.08/9.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB5, constB6)) | (v104(constB6) <=> v102(constB5))),
% 14.08/9.22 inference(modus_ponens,[status(thm)],[2828, 2827])).
% 14.08/9.22 tff(2830,plain,
% 14.08/9.22 (v104(constB6) <=> v102(constB5)),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2829, 2076, 2373])).
% 14.08/9.22 tff(2831,plain,
% 14.08/9.22 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB5) <=> (v105(constB5) | v106(constB5)))),
% 14.08/9.22 inference(quant_inst,[status(thm)],[])).
% 14.08/9.22 tff(2832,plain,
% 14.08/9.22 (v102(constB5) <=> (v105(constB5) | v106(constB5))),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2831, 2384])).
% 14.08/9.22 tff(2833,plain,
% 14.08/9.22 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB5) <=> (~((~v107(constB5)) | (~v120(constB5)))))),
% 14.08/9.22 inference(quant_inst,[status(thm)],[])).
% 14.08/9.22 tff(2834,plain,
% 14.08/9.22 (v106(constB5) <=> (~((~v107(constB5)) | (~v120(constB5))))),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2833, 2396])).
% 14.08/9.22 tff(2835,plain,
% 14.08/9.22 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB5) <=> (v108(constB5) | v119(constB5)))),
% 14.08/9.22 inference(quant_inst,[status(thm)],[])).
% 14.08/9.22 tff(2836,plain,
% 14.08/9.22 (v107(constB5) <=> (v108(constB5) | v119(constB5))),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2835, 2405])).
% 14.08/9.22 tff(2837,plain,
% 14.08/9.22 (^[VarCurr: state_type] : refl((v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2))))) <=> (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2))))))),
% 14.08/9.22 inference(bind,[status(th)],[])).
% 14.08/9.22 tff(2838,plain,
% 14.08/9.22 (![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2))))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))),
% 14.08/9.22 inference(quant_intro,[status(thm)],[2837])).
% 14.08/9.22 tff(2839,plain,
% 14.08/9.22 (^[VarCurr: state_type] : rewrite((v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))) <=> (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2))))))),
% 14.08/9.22 inference(bind,[status(th)],[])).
% 14.08/9.22 tff(2840,plain,
% 14.08/9.22 (![VarCurr: state_type] : (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))),
% 14.08/9.22 inference(quant_intro,[status(thm)],[2839])).
% 14.08/9.22 tff(2841,plain,
% 14.08/9.22 (![VarCurr: state_type] : (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 14.08/9.22 inference(rewrite,[status(thm)],[])).
% 14.08/9.22 tff(2842,plain,
% 14.08/9.22 (^[VarCurr: state_type] : rewrite((v119(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $false))) <=> (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0)))))),
% 14.08/9.22 inference(bind,[status(th)],[])).
% 14.08/9.22 tff(2843,plain,
% 14.08/9.22 (![VarCurr: state_type] : (v119(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 14.08/9.22 inference(quant_intro,[status(thm)],[2842])).
% 14.08/9.22 tff(2844,axiom,(![VarCurr: state_type] : (v119(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $true)) & (v84(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8')).
% 14.08/9.22 tff(2845,plain,
% 14.08/9.22 (![VarCurr: state_type] : (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 14.08/9.22 inference(modus_ponens,[status(thm)],[2844, 2843])).
% 14.08/9.22 tff(2846,plain,
% 14.08/9.22 (![VarCurr: state_type] : (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 14.08/9.22 inference(modus_ponens,[status(thm)],[2845, 2841])).
% 14.08/9.22 tff(2847,plain,(
% 14.08/9.22 ![VarCurr: state_type] : (v119(VarCurr) <=> (v84(VarCurr, 2) & v84(VarCurr, 1) & (~v84(VarCurr, 0))))),
% 14.08/9.22 inference(skolemize,[status(sab)],[2846])).
% 14.08/9.22 tff(2848,plain,
% 14.08/9.22 (![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))),
% 14.08/9.22 inference(modus_ponens,[status(thm)],[2847, 2840])).
% 14.08/9.22 tff(2849,plain,
% 14.08/9.22 (![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))),
% 14.08/9.22 inference(modus_ponens,[status(thm)],[2848, 2838])).
% 14.08/9.22 tff(2850,plain,
% 14.08/9.22 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB5) <=> (~(v84(constB5, 0) | (~v84(constB5, 1)) | (~v84(constB5, 2)))))),
% 14.08/9.22 inference(quant_inst,[status(thm)],[])).
% 14.08/9.22 tff(2851,plain,
% 14.08/9.22 (v119(constB5) <=> (~(v84(constB5, 0) | (~v84(constB5, 1)) | (~v84(constB5, 2))))),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2850, 2849])).
% 14.08/9.22 tff(2852,plain,
% 14.08/9.22 ((((~v84(constB5, 1)) <=> v84(constB4, 1)) | ((~v84(constB5, 2)) <=> v84(constB4, 2)) | ((~v84(constB5, 0)) <=> v84(constB4, 0))) | (~((~v84(constB5, 0)) <=> v84(constB4, 0)))),
% 14.08/9.22 inference(tautology,[status(thm)],[])).
% 14.08/9.22 tff(2853,plain,
% 14.08/9.22 (~((~v84(constB5, 0)) <=> v84(constB4, 0))),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2852, 2132])).
% 14.08/9.22 tff(2854,plain,
% 14.08/9.22 ((((~v123(constB4, 2)) <=> v121(constB3, 2)) | ((~v123(constB4, 1)) <=> v121(constB3, 1)) | ((~v123(constB4, 0)) <=> v121(constB3, 0))) | (~((~v123(constB4, 0)) <=> v121(constB3, 0)))),
% 14.08/9.22 inference(tautology,[status(thm)],[])).
% 14.08/9.22 tff(2855,plain,
% 14.08/9.22 (~((~v123(constB4, 0)) <=> v121(constB3, 0))),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2854, 2141])).
% 14.08/9.22 tff(2856,plain,
% 14.08/9.22 ((((~v121(constB3, 2)) <=> v124(constB3, 2)) | ((~v121(constB3, 0)) <=> v124(constB3, 0)) | ((~v121(constB3, 1)) <=> v124(constB3, 1))) | (~((~v121(constB3, 0)) <=> v124(constB3, 0)))),
% 14.08/9.22 inference(tautology,[status(thm)],[])).
% 14.08/9.22 tff(2857,plain,
% 14.08/9.22 (~((~v121(constB3, 0)) <=> v124(constB3, 0))),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2856, 2155])).
% 14.08/9.22 tff(2858,plain,
% 14.08/9.22 ((v124(constB3, 0) | (~v124(constB3, 2)) | (~v124(constB3, 1))) | (~v124(constB3, 0))),
% 14.08/9.22 inference(tautology,[status(thm)],[])).
% 14.08/9.22 tff(2859,plain,
% 14.08/9.22 (~v124(constB3, 0)),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2858, 2589])).
% 14.08/9.22 tff(2860,plain,
% 14.08/9.22 (((~v121(constB3, 0)) <=> v124(constB3, 0)) | (~v121(constB3, 0)) | v124(constB3, 0)),
% 14.08/9.22 inference(tautology,[status(thm)],[])).
% 14.08/9.22 tff(2861,plain,
% 14.08/9.22 (~v121(constB3, 0)),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2860, 2859, 2857])).
% 14.08/9.22 tff(2862,plain,
% 14.08/9.22 (((~v123(constB4, 0)) <=> v121(constB3, 0)) | (~v123(constB4, 0)) | v121(constB3, 0)),
% 14.08/9.22 inference(tautology,[status(thm)],[])).
% 14.08/9.22 tff(2863,plain,
% 14.08/9.22 (~v123(constB4, 0)),
% 14.08/9.22 inference(unit_resolution,[status(thm)],[2862, 2861, 2855])).
% 14.08/9.22 tff(2864,plain,
% 14.08/9.22 ((((~v84(constB4, 2)) <=> v123(constB4, 2)) | ((~v84(constB4, 1)) <=> v123(constB4, 1)) | ((~v84(constB4, 0)) <=> v123(constB4, 0))) | (~((~v84(constB4, 0)) <=> v123(constB4, 0)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2865,plain,
% 14.08/9.23 (~((~v84(constB4, 0)) <=> v123(constB4, 0))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2864, 2678])).
% 14.08/9.23 tff(2866,plain,
% 14.08/9.23 (((~v84(constB4, 0)) <=> v123(constB4, 0)) | (~v84(constB4, 0)) | v123(constB4, 0)),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2867,plain,
% 14.08/9.23 (~v84(constB4, 0)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2866, 2865, 2863])).
% 14.08/9.23 tff(2868,plain,
% 14.08/9.23 (((~v84(constB5, 0)) <=> v84(constB4, 0)) | (~v84(constB5, 0)) | v84(constB4, 0)),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2869,plain,
% 14.08/9.23 (~v84(constB5, 0)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2868, 2867, 2853])).
% 14.08/9.23 tff(2870,plain,
% 14.08/9.23 ((~(v84(constB5, 0) | (~v84(constB5, 1)) | (~v84(constB5, 2)))) | v84(constB5, 0) | (~v84(constB5, 1)) | (~v84(constB5, 2))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2871,plain,
% 14.08/9.23 (~(v84(constB5, 0) | (~v84(constB5, 1)) | (~v84(constB5, 2)))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2870, 2726, 2869, 2684])).
% 14.08/9.23 tff(2872,plain,
% 14.08/9.23 ((~(v119(constB5) <=> (~(v84(constB5, 0) | (~v84(constB5, 1)) | (~v84(constB5, 2)))))) | v119(constB5) | (v84(constB5, 0) | (~v84(constB5, 1)) | (~v84(constB5, 2)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2873,plain,
% 14.08/9.23 (v119(constB5)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2872, 2871, 2851])).
% 14.08/9.23 tff(2874,plain,
% 14.08/9.23 ((v108(constB5) | v119(constB5)) | (~v119(constB5))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2875,plain,
% 14.08/9.23 (v108(constB5) | v119(constB5)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2874, 2873])).
% 14.08/9.23 tff(2876,plain,
% 14.08/9.23 ((~(v107(constB5) <=> (v108(constB5) | v119(constB5)))) | v107(constB5) | (~(v108(constB5) | v119(constB5)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2877,plain,
% 14.08/9.23 (v107(constB5)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2876, 2875, 2836])).
% 14.08/9.23 tff(2878,plain,
% 14.08/9.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB5)) <=> v105(constB5))),
% 14.08/9.23 inference(quant_inst,[status(thm)],[])).
% 14.08/9.23 tff(2879,plain,
% 14.08/9.23 ((~v120(constB5)) <=> v105(constB5)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2878, 2484])).
% 14.08/9.23 tff(2880,plain,
% 14.08/9.23 ((~((~v120(constB5)) <=> v105(constB5))) | v120(constB5) | v105(constB5)),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2881,plain,
% 14.08/9.23 ((~((~v120(constB5)) <=> v105(constB5))) | v120(constB5)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2880, 2089])).
% 14.08/9.23 tff(2882,plain,
% 14.08/9.23 (v120(constB5)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2881, 2879])).
% 14.08/9.23 tff(2883,plain,
% 14.08/9.23 ((~((~v107(constB5)) | (~v120(constB5)))) | (~v107(constB5)) | (~v120(constB5))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2884,plain,
% 14.08/9.23 ((~((~v107(constB5)) | (~v120(constB5)))) | (~v107(constB5))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2883, 2882])).
% 14.08/9.23 tff(2885,plain,
% 14.08/9.23 (~((~v107(constB5)) | (~v120(constB5)))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2884, 2877])).
% 14.08/9.23 tff(2886,plain,
% 14.08/9.23 ((~(v106(constB5) <=> (~((~v107(constB5)) | (~v120(constB5)))))) | v106(constB5) | ((~v107(constB5)) | (~v120(constB5)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2887,plain,
% 14.08/9.23 (v106(constB5)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2886, 2885, 2834])).
% 14.08/9.23 tff(2888,plain,
% 14.08/9.23 ((v105(constB5) | v106(constB5)) | (~v106(constB5))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2889,plain,
% 14.08/9.23 (v105(constB5) | v106(constB5)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2888, 2887])).
% 14.08/9.23 tff(2890,plain,
% 14.08/9.23 ((~(v102(constB5) <=> (v105(constB5) | v106(constB5)))) | v102(constB5) | (~(v105(constB5) | v106(constB5)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2891,plain,
% 14.08/9.23 (v102(constB5)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2890, 2889, 2832])).
% 14.08/9.23 tff(2892,plain,
% 14.08/9.23 ((~(v104(constB6) <=> v102(constB5))) | v104(constB6) | (~v102(constB5))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2893,plain,
% 14.08/9.23 (v104(constB6)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2892, 2891, 2830])).
% 14.08/9.23 tff(2894,plain,
% 14.08/9.23 ((~((~v95(constB6)) | (~v104(constB6)))) | (~v95(constB6)) | (~v104(constB6))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2895,plain,
% 14.08/9.23 (~((~v95(constB6)) | (~v104(constB6)))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2894, 2893, 2826])).
% 14.08/9.23 tff(2896,plain,
% 14.08/9.23 ((~(v94(constB6) <=> (~((~v95(constB6)) | (~v104(constB6)))))) | v94(constB6) | ((~v95(constB6)) | (~v104(constB6)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2897,plain,
% 14.08/9.23 (v94(constB6)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2896, 2895, 2798])).
% 14.08/9.23 tff(2898,plain,
% 14.08/9.23 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB6)) | (~(((~v84(constB6, 0)) <=> v123(constB6, 0)) | ((~v84(constB6, 2)) <=> v123(constB6, 2)) | ((~v84(constB6, 1)) <=> v123(constB6, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB6)) | (~(((~v84(constB6, 0)) <=> v123(constB6, 0)) | ((~v84(constB6, 2)) <=> v123(constB6, 2)) | ((~v84(constB6, 1)) <=> v123(constB6, 1)))))),
% 14.08/9.23 inference(rewrite,[status(thm)],[])).
% 14.08/9.23 tff(2899,plain,
% 14.08/9.23 (((~v94(constB6)) | (~(((~v84(constB6, 2)) <=> v123(constB6, 2)) | ((~v84(constB6, 1)) <=> v123(constB6, 1)) | ((~v84(constB6, 0)) <=> v123(constB6, 0))))) <=> ((~v94(constB6)) | (~(((~v84(constB6, 0)) <=> v123(constB6, 0)) | ((~v84(constB6, 2)) <=> v123(constB6, 2)) | ((~v84(constB6, 1)) <=> v123(constB6, 1)))))),
% 14.08/9.23 inference(rewrite,[status(thm)],[])).
% 14.08/9.23 tff(2900,plain,
% 14.08/9.23 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB6)) | (~(((~v84(constB6, 2)) <=> v123(constB6, 2)) | ((~v84(constB6, 1)) <=> v123(constB6, 1)) | ((~v84(constB6, 0)) <=> v123(constB6, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB6)) | (~(((~v84(constB6, 0)) <=> v123(constB6, 0)) | ((~v84(constB6, 2)) <=> v123(constB6, 2)) | ((~v84(constB6, 1)) <=> v123(constB6, 1))))))),
% 14.08/9.23 inference(monotonicity,[status(thm)],[2899])).
% 14.08/9.23 tff(2901,plain,
% 14.08/9.23 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB6)) | (~(((~v84(constB6, 2)) <=> v123(constB6, 2)) | ((~v84(constB6, 1)) <=> v123(constB6, 1)) | ((~v84(constB6, 0)) <=> v123(constB6, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB6)) | (~(((~v84(constB6, 0)) <=> v123(constB6, 0)) | ((~v84(constB6, 2)) <=> v123(constB6, 2)) | ((~v84(constB6, 1)) <=> v123(constB6, 1)))))),
% 14.08/9.23 inference(transitivity,[status(thm)],[2900, 2898])).
% 14.08/9.23 tff(2902,plain,
% 14.08/9.23 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB6)) | (~(((~v84(constB6, 2)) <=> v123(constB6, 2)) | ((~v84(constB6, 1)) <=> v123(constB6, 1)) | ((~v84(constB6, 0)) <=> v123(constB6, 0)))))),
% 14.08/9.23 inference(quant_inst,[status(thm)],[])).
% 14.08/9.23 tff(2903,plain,
% 14.08/9.23 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB6)) | (~(((~v84(constB6, 0)) <=> v123(constB6, 0)) | ((~v84(constB6, 2)) <=> v123(constB6, 2)) | ((~v84(constB6, 1)) <=> v123(constB6, 1))))),
% 14.08/9.23 inference(modus_ponens,[status(thm)],[2902, 2901])).
% 14.08/9.23 tff(2904,plain,
% 14.08/9.23 ((~v94(constB6)) | (~(((~v84(constB6, 0)) <=> v123(constB6, 0)) | ((~v84(constB6, 2)) <=> v123(constB6, 2)) | ((~v84(constB6, 1)) <=> v123(constB6, 1))))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2903, 2517])).
% 14.08/9.23 tff(2905,plain,
% 14.08/9.23 (~(((~v84(constB6, 0)) <=> v123(constB6, 0)) | ((~v84(constB6, 2)) <=> v123(constB6, 2)) | ((~v84(constB6, 1)) <=> v123(constB6, 1)))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2904, 2897])).
% 14.08/9.23 tff(2906,plain,
% 14.08/9.23 ((((~v84(constB6, 0)) <=> v123(constB6, 0)) | ((~v84(constB6, 2)) <=> v123(constB6, 2)) | ((~v84(constB6, 1)) <=> v123(constB6, 1))) | (~((~v84(constB6, 2)) <=> v123(constB6, 2)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2907,plain,
% 14.08/9.23 (~((~v84(constB6, 2)) <=> v123(constB6, 2))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2906, 2905])).
% 14.08/9.23 tff(2908,plain,
% 14.08/9.23 (((~v84(constB6, 2)) <=> v123(constB6, 2)) | (~v84(constB6, 2)) | v123(constB6, 2)),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2909,plain,
% 14.08/9.23 (~v84(constB6, 2)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2908, 2907, 2794])).
% 14.08/9.23 tff(2910,plain,
% 14.08/9.23 (((~v84(constB7, 2)) <=> v84(constB6, 2)) | (~v84(constB7, 2)) | v84(constB6, 2)),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2911,plain,
% 14.08/9.23 (~v84(constB7, 2)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2910, 2909, 2073])).
% 14.08/9.23 tff(2912,plain,
% 14.08/9.23 ((((~v84(constB7, 1)) <=> v84(constB6, 1)) | ((~v84(constB7, 2)) <=> v84(constB6, 2)) | ((~v84(constB7, 0)) <=> v84(constB6, 0))) | (~((~v84(constB7, 0)) <=> v84(constB6, 0)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2913,plain,
% 14.08/9.23 (~((~v84(constB7, 0)) <=> v84(constB6, 0))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2912, 2071])).
% 14.08/9.23 tff(2914,plain,
% 14.08/9.23 ((((~v123(constB6, 2)) <=> v121(constB5, 2)) | ((~v123(constB6, 1)) <=> v121(constB5, 1)) | ((~v123(constB6, 0)) <=> v121(constB5, 0))) | (~((~v123(constB6, 0)) <=> v121(constB5, 0)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2915,plain,
% 14.08/9.23 (~((~v123(constB6, 0)) <=> v121(constB5, 0))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2914, 2080])).
% 14.08/9.23 tff(2916,plain,
% 14.08/9.23 ((((~v121(constB5, 2)) <=> v124(constB5, 2)) | ((~v121(constB5, 0)) <=> v124(constB5, 0)) | ((~v121(constB5, 1)) <=> v124(constB5, 1))) | (~((~v121(constB5, 0)) <=> v124(constB5, 0)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2917,plain,
% 14.08/9.23 (~((~v121(constB5, 0)) <=> v124(constB5, 0))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2916, 2094])).
% 14.08/9.23 tff(2918,plain,
% 14.08/9.23 ((v124(constB5, 2) | v124(constB5, 1) | (~v124(constB5, 0))) | v124(constB5, 0)),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2919,plain,
% 14.08/9.23 (v124(constB5, 0)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2918, 2788])).
% 14.08/9.23 tff(2920,plain,
% 14.08/9.23 (((~v121(constB5, 0)) <=> v124(constB5, 0)) | v121(constB5, 0) | (~v124(constB5, 0))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2921,plain,
% 14.08/9.23 (v121(constB5, 0)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2920, 2919, 2917])).
% 14.08/9.23 tff(2922,plain,
% 14.08/9.23 (((~v123(constB6, 0)) <=> v121(constB5, 0)) | v123(constB6, 0) | (~v121(constB5, 0))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2923,plain,
% 14.08/9.23 (v123(constB6, 0)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2922, 2921, 2915])).
% 14.08/9.23 tff(2924,plain,
% 14.08/9.23 ((((~v84(constB6, 0)) <=> v123(constB6, 0)) | ((~v84(constB6, 2)) <=> v123(constB6, 2)) | ((~v84(constB6, 1)) <=> v123(constB6, 1))) | (~((~v84(constB6, 0)) <=> v123(constB6, 0)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2925,plain,
% 14.08/9.23 (~((~v84(constB6, 0)) <=> v123(constB6, 0))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2924, 2905])).
% 14.08/9.23 tff(2926,plain,
% 14.08/9.23 (((~v84(constB6, 0)) <=> v123(constB6, 0)) | v84(constB6, 0) | (~v123(constB6, 0))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2927,plain,
% 14.08/9.23 (v84(constB6, 0)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2926, 2925, 2923])).
% 14.08/9.23 tff(2928,plain,
% 14.08/9.23 (((~v84(constB7, 0)) <=> v84(constB6, 0)) | v84(constB7, 0) | (~v84(constB6, 0))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2929,plain,
% 14.08/9.23 (v84(constB7, 0)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2928, 2927, 2913])).
% 14.08/9.23 tff(2930,plain,
% 14.08/9.23 ((((~v84(constB7, 1)) <=> v84(constB6, 1)) | ((~v84(constB7, 2)) <=> v84(constB6, 2)) | ((~v84(constB7, 0)) <=> v84(constB6, 0))) | (~((~v84(constB7, 1)) <=> v84(constB6, 1)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2931,plain,
% 14.08/9.23 (~((~v84(constB7, 1)) <=> v84(constB6, 1))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2930, 2071])).
% 14.08/9.23 tff(2932,plain,
% 14.08/9.23 ((((~v123(constB6, 2)) <=> v121(constB5, 2)) | ((~v123(constB6, 1)) <=> v121(constB5, 1)) | ((~v123(constB6, 0)) <=> v121(constB5, 0))) | (~((~v123(constB6, 1)) <=> v121(constB5, 1)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2933,plain,
% 14.08/9.23 (~((~v123(constB6, 1)) <=> v121(constB5, 1))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2932, 2080])).
% 14.08/9.23 tff(2934,plain,
% 14.08/9.23 ((((~v121(constB5, 2)) <=> v124(constB5, 2)) | ((~v121(constB5, 0)) <=> v124(constB5, 0)) | ((~v121(constB5, 1)) <=> v124(constB5, 1))) | (~((~v121(constB5, 1)) <=> v124(constB5, 1)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2935,plain,
% 14.08/9.23 (~((~v121(constB5, 1)) <=> v124(constB5, 1))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2934, 2094])).
% 14.08/9.23 tff(2936,plain,
% 14.08/9.23 ((v124(constB5, 2) | v124(constB5, 1) | (~v124(constB5, 0))) | (~v124(constB5, 1))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2937,plain,
% 14.08/9.23 (~v124(constB5, 1)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2936, 2788])).
% 14.08/9.23 tff(2938,plain,
% 14.08/9.23 (((~v121(constB5, 1)) <=> v124(constB5, 1)) | (~v121(constB5, 1)) | v124(constB5, 1)),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2939,plain,
% 14.08/9.23 (~v121(constB5, 1)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2938, 2937, 2935])).
% 14.08/9.23 tff(2940,plain,
% 14.08/9.23 (((~v123(constB6, 1)) <=> v121(constB5, 1)) | (~v123(constB6, 1)) | v121(constB5, 1)),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2941,plain,
% 14.08/9.23 (~v123(constB6, 1)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2940, 2939, 2933])).
% 14.08/9.23 tff(2942,plain,
% 14.08/9.23 ((((~v84(constB6, 0)) <=> v123(constB6, 0)) | ((~v84(constB6, 2)) <=> v123(constB6, 2)) | ((~v84(constB6, 1)) <=> v123(constB6, 1))) | (~((~v84(constB6, 1)) <=> v123(constB6, 1)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2943,plain,
% 14.08/9.23 (~((~v84(constB6, 1)) <=> v123(constB6, 1))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2942, 2905])).
% 14.08/9.23 tff(2944,plain,
% 14.08/9.23 (((~v84(constB6, 1)) <=> v123(constB6, 1)) | (~v84(constB6, 1)) | v123(constB6, 1)),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2945,plain,
% 14.08/9.23 (~v84(constB6, 1)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2944, 2943, 2941])).
% 14.08/9.23 tff(2946,plain,
% 14.08/9.23 (((~v84(constB7, 1)) <=> v84(constB6, 1)) | (~v84(constB7, 1)) | v84(constB6, 1)),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2947,plain,
% 14.08/9.23 (~v84(constB7, 1)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2946, 2945, 2931])).
% 14.08/9.23 tff(2948,plain,
% 14.08/9.23 ((~(v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0)))) | v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2949,plain,
% 14.08/9.23 (~(v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0)))),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2948, 2947, 2929, 2911])).
% 14.08/9.23 tff(2950,plain,
% 14.08/9.23 ((~(v114(constB7) <=> (~(v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0)))))) | v114(constB7) | (v84(constB7, 1) | v84(constB7, 2) | (~v84(constB7, 0)))),
% 14.08/9.23 inference(tautology,[status(thm)],[])).
% 14.08/9.23 tff(2951,plain,
% 14.08/9.23 (v114(constB7)),
% 14.08/9.23 inference(unit_resolution,[status(thm)],[2950, 2949, 2037])).
% 14.08/9.23 tff(2952,plain,
% 14.08/9.23 (^[VarCurr: state_type] : refl(((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1))))) <=> ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1))))))),
% 14.08/9.23 inference(bind,[status(th)],[])).
% 14.08/9.23 tff(2953,plain,
% 14.08/9.23 (![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1))))) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))),
% 14.08/9.23 inference(quant_intro,[status(thm)],[2952])).
% 14.08/9.23 tff(2954,plain,
% 14.08/9.23 (^[VarCurr: state_type] : rewrite(((~v114(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & (~v124(VarCurr, 0)))) <=> ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1))))))),
% 14.08/9.23 inference(bind,[status(th)],[])).
% 14.08/9.23 tff(2955,plain,
% 14.08/9.23 (![VarCurr: state_type] : ((~v114(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & (~v124(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))),
% 14.08/9.23 inference(quant_intro,[status(thm)],[2954])).
% 14.08/9.23 tff(2956,plain,
% 14.08/9.23 (![VarCurr: state_type] : ((~v114(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & (~v124(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))),
% 14.08/9.23 inference(rewrite,[status(thm)],[])).
% 14.08/9.23 tff(2957,plain,
% 14.08/9.23 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $true)) <=> ((~v124(VarCurr, 2)) & v124(VarCurr, 1))), rewrite((v124(VarCurr, 0) <=> $false) <=> (~v124(VarCurr, 0))), ((((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $false)) <=> (((~v124(VarCurr, 2)) & v124(VarCurr, 1)) & (~v124(VarCurr, 0))))), rewrite((((~v124(VarCurr, 2)) & v124(VarCurr, 1)) & (~v124(VarCurr, 0))) <=> ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & (~v124(VarCurr, 0)))), ((((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $false)) <=> ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))), ((v114(VarCurr) => (((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $false))) <=> (v114(VarCurr) => ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & (~v124(VarCurr, 0)))))), rewrite((v114(VarCurr) => ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & (~v124(VarCurr, 0)))) <=> ((~v114(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))), ((v114(VarCurr) => (((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $false))) <=> ((~v114(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))))),
% 14.08/9.23 inference(bind,[status(th)],[])).
% 14.08/9.23 tff(2958,plain,
% 14.08/9.23 (![VarCurr: state_type] : (v114(VarCurr) => (((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : ((~v114(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))),
% 14.08/9.23 inference(quant_intro,[status(thm)],[2957])).
% 14.08/9.23 tff(2959,axiom,(![VarCurr: state_type] : (v114(VarCurr) => (((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1')).
% 14.08/9.23 tff(2960,plain,
% 14.08/9.23 (![VarCurr: state_type] : ((~v114(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))),
% 14.08/9.23 inference(modus_ponens,[status(thm)],[2959, 2958])).
% 14.08/9.23 tff(2961,plain,
% 14.08/9.23 (![VarCurr: state_type] : ((~v114(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))),
% 14.08/9.23 inference(modus_ponens,[status(thm)],[2960, 2956])).
% 14.08/9.23 tff(2962,plain,(
% 14.08/9.23 ![VarCurr: state_type] : ((~v114(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & (~v124(VarCurr, 0))))),
% 14.08/9.23 inference(skolemize,[status(sab)],[2961])).
% 14.08/9.23 tff(2963,plain,
% 14.08/9.23 (![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))),
% 14.08/9.23 inference(modus_ponens,[status(thm)],[2962, 2955])).
% 14.08/9.23 tff(2964,plain,
% 14.08/9.23 (![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))),
% 14.08/9.23 inference(modus_ponens,[status(thm)],[2963, 2953])).
% 14.08/9.23 tff(2965,plain,
% 14.08/9.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB7)) | (~(v124(constB7, 2) | v124(constB7, 0) | (~v124(constB7, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB7)) | (~(v124(constB7, 2) | v124(constB7, 0) | (~v124(constB7, 1)))))),
% 14.08/9.23 inference(rewrite,[status(thm)],[])).
% 14.08/9.23 tff(2966,plain,
% 14.08/9.23 (((~v114(constB7)) | (~(v124(constB7, 0) | v124(constB7, 2) | (~v124(constB7, 1))))) <=> ((~v114(constB7)) | (~(v124(constB7, 2) | v124(constB7, 0) | (~v124(constB7, 1)))))),
% 14.08/9.24 inference(rewrite,[status(thm)],[])).
% 14.08/9.24 tff(2967,plain,
% 14.08/9.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB7)) | (~(v124(constB7, 0) | v124(constB7, 2) | (~v124(constB7, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB7)) | (~(v124(constB7, 2) | v124(constB7, 0) | (~v124(constB7, 1))))))),
% 14.08/9.24 inference(monotonicity,[status(thm)],[2966])).
% 14.08/9.24 tff(2968,plain,
% 14.08/9.24 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB7)) | (~(v124(constB7, 0) | v124(constB7, 2) | (~v124(constB7, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB7)) | (~(v124(constB7, 2) | v124(constB7, 0) | (~v124(constB7, 1)))))),
% 14.08/9.24 inference(transitivity,[status(thm)],[2967, 2965])).
% 14.08/9.24 tff(2969,plain,
% 14.08/9.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB7)) | (~(v124(constB7, 0) | v124(constB7, 2) | (~v124(constB7, 1)))))),
% 14.08/9.24 inference(quant_inst,[status(thm)],[])).
% 14.08/9.24 tff(2970,plain,
% 14.08/9.24 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB7)) | (~(v124(constB7, 2) | v124(constB7, 0) | (~v124(constB7, 1))))),
% 14.08/9.24 inference(modus_ponens,[status(thm)],[2969, 2968])).
% 14.08/9.24 tff(2971,plain,
% 14.08/9.24 ((~v114(constB7)) | (~(v124(constB7, 2) | v124(constB7, 0) | (~v124(constB7, 1))))),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[2970, 2964])).
% 14.08/9.24 tff(2972,plain,
% 14.08/9.24 (~(v124(constB7, 2) | v124(constB7, 0) | (~v124(constB7, 1)))),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[2971, 2951])).
% 14.08/9.24 tff(2973,plain,
% 14.08/9.24 ((v124(constB7, 2) | v124(constB7, 0) | (~v124(constB7, 1))) | (~v124(constB7, 2))),
% 14.08/9.24 inference(tautology,[status(thm)],[])).
% 14.08/9.24 tff(2974,plain,
% 14.08/9.24 (~v124(constB7, 2)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[2973, 2972])).
% 14.08/9.24 tff(2975,plain,
% 14.08/9.24 (((~v121(constB7, 2)) <=> v124(constB7, 2)) | (~v121(constB7, 2)) | v124(constB7, 2)),
% 14.08/9.24 inference(tautology,[status(thm)],[])).
% 14.08/9.24 tff(2976,plain,
% 14.08/9.24 (~v121(constB7, 2)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[2975, 2974, 2035])).
% 14.08/9.24 tff(2977,plain,
% 14.08/9.24 (((~v123(constB8, 2)) <=> v121(constB7, 2)) | (~v123(constB8, 2)) | v121(constB7, 2)),
% 14.08/9.24 inference(tautology,[status(thm)],[])).
% 14.08/9.24 tff(2978,plain,
% 14.08/9.24 (~v123(constB8, 2)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[2977, 2976, 2021])).
% 14.08/9.24 tff(2979,plain,
% 14.08/9.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB7, constB8)) | (v94(constB8) <=> (~((~v95(constB8)) | (~v104(constB8))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB7, constB8)) | (v94(constB8) <=> (~((~v95(constB8)) | (~v104(constB8))))))),
% 14.08/9.24 inference(rewrite,[status(thm)],[])).
% 14.08/9.24 tff(2980,plain,
% 14.08/9.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB7, constB8)) | (v94(constB8) <=> (~((~v95(constB8)) | (~v104(constB8))))))),
% 14.08/9.24 inference(quant_inst,[status(thm)],[])).
% 14.08/9.24 tff(2981,plain,
% 14.08/9.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB7, constB8)) | (v94(constB8) <=> (~((~v95(constB8)) | (~v104(constB8)))))),
% 14.08/9.24 inference(modus_ponens,[status(thm)],[2980, 2979])).
% 14.08/9.24 tff(2982,plain,
% 14.08/9.24 (v94(constB8) <=> (~((~v95(constB8)) | (~v104(constB8))))),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[2981, 2015, 770])).
% 14.08/9.24 tff(2983,plain,
% 14.08/9.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8))))))),
% 14.08/9.24 inference(rewrite,[status(thm)],[])).
% 14.08/9.24 tff(2984,plain,
% 14.08/9.24 (((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v96(constB8)) | (~v1(constB8)))))) <=> ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8))))))),
% 14.08/9.24 inference(rewrite,[status(thm)],[])).
% 14.08/9.24 tff(2985,plain,
% 14.08/9.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v96(constB8)) | (~v1(constB8))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8)))))))),
% 14.08/9.24 inference(monotonicity,[status(thm)],[2984])).
% 14.08/9.24 tff(2986,plain,
% 14.08/9.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v96(constB8)) | (~v1(constB8))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8))))))),
% 14.08/9.24 inference(transitivity,[status(thm)],[2985, 2983])).
% 14.08/9.24 tff(2987,plain,
% 14.08/9.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v96(constB8)) | (~v1(constB8))))))),
% 14.08/9.24 inference(quant_inst,[status(thm)],[])).
% 14.08/9.24 tff(2988,plain,
% 14.08/9.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8)))))),
% 14.08/9.24 inference(modus_ponens,[status(thm)],[2987, 2986])).
% 14.08/9.24 tff(2989,plain,
% 14.08/9.24 (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8))))),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[2988, 2015, 790])).
% 14.08/9.24 tff(2990,plain,
% 14.08/9.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v96(constB8)) <=> v98(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB7, constB8)) | ((~v96(constB8)) <=> v98(constB8)))),
% 14.08/9.24 inference(rewrite,[status(thm)],[])).
% 14.08/9.24 tff(2991,plain,
% 14.08/9.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v96(constB8)) <=> v98(constB8)))),
% 14.08/9.24 inference(quant_inst,[status(thm)],[])).
% 14.08/9.24 tff(2992,plain,
% 14.08/9.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB7, constB8)) | ((~v96(constB8)) <=> v98(constB8))),
% 14.08/9.24 inference(modus_ponens,[status(thm)],[2991, 2990])).
% 14.08/9.24 tff(2993,plain,
% 14.08/9.24 ((~v96(constB8)) <=> v98(constB8)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[2992, 2015, 2332])).
% 14.08/9.24 tff(2994,plain,
% 14.08/9.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v98(constB8) <=> v1(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v98(constB8) <=> v1(constB7)))),
% 14.08/9.24 inference(rewrite,[status(thm)],[])).
% 14.08/9.24 tff(2995,plain,
% 14.08/9.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v98(constB8) <=> v1(constB7)))),
% 14.08/9.24 inference(quant_inst,[status(thm)],[])).
% 14.08/9.24 tff(2996,plain,
% 14.08/9.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v98(constB8) <=> v1(constB7))),
% 14.08/9.24 inference(modus_ponens,[status(thm)],[2995, 2994])).
% 14.08/9.24 tff(2997,plain,
% 14.08/9.24 (v98(constB8) <=> v1(constB7)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[2996, 2015, 2346])).
% 14.08/9.24 tff(2998,plain,
% 14.08/9.24 ((~(v98(constB8) <=> v1(constB7))) | (~v98(constB8)) | v1(constB7)),
% 14.08/9.24 inference(tautology,[status(thm)],[])).
% 14.08/9.24 tff(2999,plain,
% 14.08/9.24 ((~(v98(constB8) <=> v1(constB7))) | (~v98(constB8))),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[2998, 2054])).
% 14.08/9.24 tff(3000,plain,
% 14.08/9.24 (~v98(constB8)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[2999, 2997])).
% 14.08/9.24 tff(3001,plain,
% 14.08/9.24 ((~((~v96(constB8)) <=> v98(constB8))) | v96(constB8) | v98(constB8)),
% 14.08/9.24 inference(tautology,[status(thm)],[])).
% 14.08/9.24 tff(3002,plain,
% 14.08/9.24 (v96(constB8)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3001, 3000, 2993])).
% 14.08/9.24 tff(3003,plain,
% 14.08/9.24 (v1(constB8) <=> v1(constB8)),
% 14.08/9.24 inference(rewrite,[status(thm)],[])).
% 14.08/9.24 tff(3004,axiom,(v1(constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_8')).
% 14.08/9.24 tff(3005,plain,
% 14.08/9.24 (v1(constB8)),
% 14.08/9.24 inference(modus_ponens,[status(thm)],[3004, 3003])).
% 14.08/9.24 tff(3006,plain,
% 14.08/9.24 ((~((~v1(constB8)) | (~v96(constB8)))) | (~v1(constB8)) | (~v96(constB8))),
% 14.08/9.24 inference(tautology,[status(thm)],[])).
% 14.08/9.24 tff(3007,plain,
% 14.08/9.24 ((~((~v1(constB8)) | (~v96(constB8)))) | (~v96(constB8))),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3006, 3005])).
% 14.08/9.24 tff(3008,plain,
% 14.08/9.24 (~((~v1(constB8)) | (~v96(constB8)))),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3007, 3002])).
% 14.08/9.24 tff(3009,plain,
% 14.08/9.24 ((~(v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8)))))) | v95(constB8) | ((~v1(constB8)) | (~v96(constB8)))),
% 14.08/9.24 inference(tautology,[status(thm)],[])).
% 14.08/9.24 tff(3010,plain,
% 14.08/9.24 (v95(constB8)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3009, 3008, 2989])).
% 14.08/9.24 tff(3011,plain,
% 14.08/9.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v102(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v102(constB7)))),
% 14.08/9.24 inference(rewrite,[status(thm)],[])).
% 14.08/9.24 tff(3012,plain,
% 14.08/9.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v102(constB7)))),
% 14.08/9.24 inference(quant_inst,[status(thm)],[])).
% 14.08/9.24 tff(3013,plain,
% 14.08/9.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v102(constB7))),
% 14.08/9.24 inference(modus_ponens,[status(thm)],[3012, 3011])).
% 14.08/9.24 tff(3014,plain,
% 14.08/9.24 (v104(constB8) <=> v102(constB7)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3013, 2015, 2373])).
% 14.08/9.24 tff(3015,plain,
% 14.08/9.24 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB7) <=> (v105(constB7) | v106(constB7)))),
% 14.08/9.24 inference(quant_inst,[status(thm)],[])).
% 14.08/9.24 tff(3016,plain,
% 14.08/9.24 (v102(constB7) <=> (v105(constB7) | v106(constB7))),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3015, 2384])).
% 14.08/9.24 tff(3017,plain,
% 14.08/9.24 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB7) <=> (~((~v107(constB7)) | (~v120(constB7)))))),
% 14.08/9.24 inference(quant_inst,[status(thm)],[])).
% 14.08/9.24 tff(3018,plain,
% 14.08/9.24 (v106(constB7) <=> (~((~v107(constB7)) | (~v120(constB7))))),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3017, 2396])).
% 14.08/9.24 tff(3019,plain,
% 14.08/9.24 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB7) <=> (v108(constB7) | v119(constB7)))),
% 14.08/9.24 inference(quant_inst,[status(thm)],[])).
% 14.08/9.24 tff(3020,plain,
% 14.08/9.24 (v107(constB7) <=> (v108(constB7) | v119(constB7))),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3019, 2405])).
% 14.08/9.24 tff(3021,plain,
% 14.08/9.24 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB7) <=> (v109(constB7) | v118(constB7)))),
% 14.08/9.24 inference(quant_inst,[status(thm)],[])).
% 14.08/9.24 tff(3022,plain,
% 14.08/9.24 (v108(constB7) <=> (v109(constB7) | v118(constB7))),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3021, 2414])).
% 14.08/9.24 tff(3023,plain,
% 14.08/9.24 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB7) <=> (v110(constB7) | v117(constB7)))),
% 14.08/9.24 inference(quant_inst,[status(thm)],[])).
% 14.08/9.24 tff(3024,plain,
% 14.08/9.24 (v109(constB7) <=> (v110(constB7) | v117(constB7))),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3023, 2423])).
% 14.08/9.24 tff(3025,plain,
% 14.08/9.24 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB7) <=> (v111(constB7) | v116(constB7)))),
% 14.08/9.24 inference(quant_inst,[status(thm)],[])).
% 14.08/9.24 tff(3026,plain,
% 14.08/9.24 (v110(constB7) <=> (v111(constB7) | v116(constB7))),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3025, 2432])).
% 14.08/9.24 tff(3027,plain,
% 14.08/9.24 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB7) <=> (v112(constB7) | v115(constB7)))),
% 14.08/9.24 inference(quant_inst,[status(thm)],[])).
% 14.08/9.24 tff(3028,plain,
% 14.08/9.24 (v111(constB7) <=> (v112(constB7) | v115(constB7))),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3027, 2441])).
% 14.08/9.24 tff(3029,plain,
% 14.08/9.24 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB7) <=> (v113(constB7) | v114(constB7)))),
% 14.08/9.24 inference(quant_inst,[status(thm)],[])).
% 14.08/9.24 tff(3030,plain,
% 14.08/9.24 (v112(constB7) <=> (v113(constB7) | v114(constB7))),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3029, 2450])).
% 14.08/9.24 tff(3031,plain,
% 14.08/9.24 ((v113(constB7) | v114(constB7)) | (~v114(constB7))),
% 14.08/9.24 inference(tautology,[status(thm)],[])).
% 14.08/9.24 tff(3032,plain,
% 14.08/9.24 (v113(constB7) | v114(constB7)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3031, 2951])).
% 14.08/9.24 tff(3033,plain,
% 14.08/9.24 ((~(v112(constB7) <=> (v113(constB7) | v114(constB7)))) | v112(constB7) | (~(v113(constB7) | v114(constB7)))),
% 14.08/9.24 inference(tautology,[status(thm)],[])).
% 14.08/9.24 tff(3034,plain,
% 14.08/9.24 (v112(constB7)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3033, 3032, 3030])).
% 14.08/9.24 tff(3035,plain,
% 14.08/9.24 ((v112(constB7) | v115(constB7)) | (~v112(constB7))),
% 14.08/9.24 inference(tautology,[status(thm)],[])).
% 14.08/9.24 tff(3036,plain,
% 14.08/9.24 (v112(constB7) | v115(constB7)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3035, 3034])).
% 14.08/9.24 tff(3037,plain,
% 14.08/9.24 ((~(v111(constB7) <=> (v112(constB7) | v115(constB7)))) | v111(constB7) | (~(v112(constB7) | v115(constB7)))),
% 14.08/9.24 inference(tautology,[status(thm)],[])).
% 14.08/9.24 tff(3038,plain,
% 14.08/9.24 (v111(constB7)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3037, 3036, 3028])).
% 14.08/9.24 tff(3039,plain,
% 14.08/9.24 ((v111(constB7) | v116(constB7)) | (~v111(constB7))),
% 14.08/9.24 inference(tautology,[status(thm)],[])).
% 14.08/9.24 tff(3040,plain,
% 14.08/9.24 (v111(constB7) | v116(constB7)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3039, 3038])).
% 14.08/9.24 tff(3041,plain,
% 14.08/9.24 ((~(v110(constB7) <=> (v111(constB7) | v116(constB7)))) | v110(constB7) | (~(v111(constB7) | v116(constB7)))),
% 14.08/9.24 inference(tautology,[status(thm)],[])).
% 14.08/9.24 tff(3042,plain,
% 14.08/9.24 (v110(constB7)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3041, 3040, 3026])).
% 14.08/9.24 tff(3043,plain,
% 14.08/9.24 ((v110(constB7) | v117(constB7)) | (~v110(constB7))),
% 14.08/9.24 inference(tautology,[status(thm)],[])).
% 14.08/9.24 tff(3044,plain,
% 14.08/9.24 (v110(constB7) | v117(constB7)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3043, 3042])).
% 14.08/9.24 tff(3045,plain,
% 14.08/9.24 ((~(v109(constB7) <=> (v110(constB7) | v117(constB7)))) | v109(constB7) | (~(v110(constB7) | v117(constB7)))),
% 14.08/9.24 inference(tautology,[status(thm)],[])).
% 14.08/9.24 tff(3046,plain,
% 14.08/9.24 (v109(constB7)),
% 14.08/9.24 inference(unit_resolution,[status(thm)],[3045, 3044, 3024])).
% 14.08/9.24 tff(3047,plain,
% 14.08/9.24 ((v109(constB7) | v118(constB7)) | (~v109(constB7))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3048,plain,
% 14.08/9.25 (v109(constB7) | v118(constB7)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3047, 3046])).
% 14.08/9.25 tff(3049,plain,
% 14.08/9.25 ((~(v108(constB7) <=> (v109(constB7) | v118(constB7)))) | v108(constB7) | (~(v109(constB7) | v118(constB7)))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3050,plain,
% 14.08/9.25 (v108(constB7)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3049, 3048, 3022])).
% 14.08/9.25 tff(3051,plain,
% 14.08/9.25 ((v108(constB7) | v119(constB7)) | (~v108(constB7))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3052,plain,
% 14.08/9.25 (v108(constB7) | v119(constB7)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3051, 3050])).
% 14.08/9.25 tff(3053,plain,
% 14.08/9.25 ((~(v107(constB7) <=> (v108(constB7) | v119(constB7)))) | v107(constB7) | (~(v108(constB7) | v119(constB7)))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3054,plain,
% 14.08/9.25 (v107(constB7)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3053, 3052, 3020])).
% 14.08/9.25 tff(3055,plain,
% 14.08/9.25 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB7)) <=> v105(constB7))),
% 14.08/9.25 inference(quant_inst,[status(thm)],[])).
% 14.08/9.25 tff(3056,plain,
% 14.08/9.25 ((~v120(constB7)) <=> v105(constB7)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3055, 2484])).
% 14.08/9.25 tff(3057,plain,
% 14.08/9.25 ((~((~v120(constB7)) <=> v105(constB7))) | v120(constB7) | v105(constB7)),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3058,plain,
% 14.08/9.25 ((~((~v120(constB7)) <=> v105(constB7))) | v120(constB7)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3057, 2028])).
% 14.08/9.25 tff(3059,plain,
% 14.08/9.25 (v120(constB7)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3058, 3056])).
% 14.08/9.25 tff(3060,plain,
% 14.08/9.25 ((~((~v107(constB7)) | (~v120(constB7)))) | (~v107(constB7)) | (~v120(constB7))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3061,plain,
% 14.08/9.25 ((~((~v107(constB7)) | (~v120(constB7)))) | (~v107(constB7))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3060, 3059])).
% 14.08/9.25 tff(3062,plain,
% 14.08/9.25 (~((~v107(constB7)) | (~v120(constB7)))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3061, 3054])).
% 14.08/9.25 tff(3063,plain,
% 14.08/9.25 ((~(v106(constB7) <=> (~((~v107(constB7)) | (~v120(constB7)))))) | v106(constB7) | ((~v107(constB7)) | (~v120(constB7)))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3064,plain,
% 14.08/9.25 (v106(constB7)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3063, 3062, 3018])).
% 14.08/9.25 tff(3065,plain,
% 14.08/9.25 ((v105(constB7) | v106(constB7)) | (~v106(constB7))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3066,plain,
% 14.08/9.25 (v105(constB7) | v106(constB7)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3065, 3064])).
% 14.08/9.25 tff(3067,plain,
% 14.08/9.25 ((~(v102(constB7) <=> (v105(constB7) | v106(constB7)))) | v102(constB7) | (~(v105(constB7) | v106(constB7)))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3068,plain,
% 14.08/9.25 (v102(constB7)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3067, 3066, 3016])).
% 14.08/9.25 tff(3069,plain,
% 14.08/9.25 ((~(v104(constB8) <=> v102(constB7))) | v104(constB8) | (~v102(constB7))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3070,plain,
% 14.08/9.25 (v104(constB8)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3069, 3068, 3014])).
% 14.08/9.25 tff(3071,plain,
% 14.08/9.25 ((~((~v95(constB8)) | (~v104(constB8)))) | (~v95(constB8)) | (~v104(constB8))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3072,plain,
% 14.08/9.25 (~((~v95(constB8)) | (~v104(constB8)))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3071, 3070, 3010])).
% 14.08/9.25 tff(3073,plain,
% 14.08/9.25 ((~(v94(constB8) <=> (~((~v95(constB8)) | (~v104(constB8)))))) | v94(constB8) | ((~v95(constB8)) | (~v104(constB8)))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3074,plain,
% 14.08/9.25 (v94(constB8)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3073, 3072, 2982])).
% 14.08/9.25 tff(3075,plain,
% 14.08/9.25 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB8)) | (~(((~v84(constB8, 2)) <=> v123(constB8, 2)) | ((~v84(constB8, 1)) <=> v123(constB8, 1)) | ((~v84(constB8, 0)) <=> v123(constB8, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB8)) | (~(((~v84(constB8, 2)) <=> v123(constB8, 2)) | ((~v84(constB8, 1)) <=> v123(constB8, 1)) | ((~v84(constB8, 0)) <=> v123(constB8, 0)))))),
% 14.08/9.25 inference(rewrite,[status(thm)],[])).
% 14.08/9.25 tff(3076,plain,
% 14.08/9.25 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB8)) | (~(((~v84(constB8, 2)) <=> v123(constB8, 2)) | ((~v84(constB8, 1)) <=> v123(constB8, 1)) | ((~v84(constB8, 0)) <=> v123(constB8, 0)))))),
% 14.08/9.25 inference(quant_inst,[status(thm)],[])).
% 14.08/9.25 tff(3077,plain,
% 14.08/9.25 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB8)) | (~(((~v84(constB8, 2)) <=> v123(constB8, 2)) | ((~v84(constB8, 1)) <=> v123(constB8, 1)) | ((~v84(constB8, 0)) <=> v123(constB8, 0))))),
% 14.08/9.25 inference(modus_ponens,[status(thm)],[3076, 3075])).
% 14.08/9.25 tff(3078,plain,
% 14.08/9.25 ((~v94(constB8)) | (~(((~v84(constB8, 2)) <=> v123(constB8, 2)) | ((~v84(constB8, 1)) <=> v123(constB8, 1)) | ((~v84(constB8, 0)) <=> v123(constB8, 0))))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3077, 2517])).
% 14.08/9.25 tff(3079,plain,
% 14.08/9.25 (~(((~v84(constB8, 2)) <=> v123(constB8, 2)) | ((~v84(constB8, 1)) <=> v123(constB8, 1)) | ((~v84(constB8, 0)) <=> v123(constB8, 0)))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3078, 3074])).
% 14.08/9.25 tff(3080,plain,
% 14.08/9.25 ((((~v84(constB8, 2)) <=> v123(constB8, 2)) | ((~v84(constB8, 1)) <=> v123(constB8, 1)) | ((~v84(constB8, 0)) <=> v123(constB8, 0))) | (~((~v84(constB8, 2)) <=> v123(constB8, 2)))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3081,plain,
% 14.08/9.25 (~((~v84(constB8, 2)) <=> v123(constB8, 2))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3080, 3079])).
% 14.08/9.25 tff(3082,plain,
% 14.08/9.25 (((~v84(constB8, 2)) <=> v123(constB8, 2)) | (~v84(constB8, 2)) | v123(constB8, 2)),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3083,plain,
% 14.08/9.25 (~v84(constB8, 2)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3082, 3081, 2978])).
% 14.08/9.25 tff(3084,plain,
% 14.08/9.25 (((~v84(constB9, 2)) <=> v84(constB8, 2)) | (~v84(constB9, 2)) | v84(constB8, 2)),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3085,plain,
% 14.08/9.25 (~v84(constB9, 2)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3084, 3083, 2012])).
% 14.08/9.25 tff(3086,plain,
% 14.08/9.25 ((((~v84(constB9, 1)) <=> v84(constB8, 1)) | ((~v84(constB9, 2)) <=> v84(constB8, 2)) | ((~v84(constB9, 0)) <=> v84(constB8, 0))) | (~((~v84(constB9, 0)) <=> v84(constB8, 0)))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3087,plain,
% 14.08/9.25 (~((~v84(constB9, 0)) <=> v84(constB8, 0))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3086, 2010])).
% 14.08/9.25 tff(3088,plain,
% 14.08/9.25 ((((~v123(constB8, 2)) <=> v121(constB7, 2)) | ((~v123(constB8, 1)) <=> v121(constB7, 1)) | ((~v123(constB8, 0)) <=> v121(constB7, 0))) | (~((~v123(constB8, 0)) <=> v121(constB7, 0)))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3089,plain,
% 14.08/9.25 (~((~v123(constB8, 0)) <=> v121(constB7, 0))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3088, 2019])).
% 14.08/9.25 tff(3090,plain,
% 14.08/9.25 ((((~v121(constB7, 2)) <=> v124(constB7, 2)) | ((~v121(constB7, 0)) <=> v124(constB7, 0)) | ((~v121(constB7, 1)) <=> v124(constB7, 1))) | (~((~v121(constB7, 0)) <=> v124(constB7, 0)))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3091,plain,
% 14.08/9.25 (~((~v121(constB7, 0)) <=> v124(constB7, 0))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3090, 2033])).
% 14.08/9.25 tff(3092,plain,
% 14.08/9.25 ((v124(constB7, 2) | v124(constB7, 0) | (~v124(constB7, 1))) | (~v124(constB7, 0))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3093,plain,
% 14.08/9.25 (~v124(constB7, 0)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3092, 2972])).
% 14.08/9.25 tff(3094,plain,
% 14.08/9.25 (((~v121(constB7, 0)) <=> v124(constB7, 0)) | (~v121(constB7, 0)) | v124(constB7, 0)),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3095,plain,
% 14.08/9.25 (~v121(constB7, 0)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3094, 3093, 3091])).
% 14.08/9.25 tff(3096,plain,
% 14.08/9.25 (((~v123(constB8, 0)) <=> v121(constB7, 0)) | (~v123(constB8, 0)) | v121(constB7, 0)),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3097,plain,
% 14.08/9.25 (~v123(constB8, 0)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3096, 3095, 3089])).
% 14.08/9.25 tff(3098,plain,
% 14.08/9.25 ((((~v84(constB8, 2)) <=> v123(constB8, 2)) | ((~v84(constB8, 1)) <=> v123(constB8, 1)) | ((~v84(constB8, 0)) <=> v123(constB8, 0))) | (~((~v84(constB8, 0)) <=> v123(constB8, 0)))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3099,plain,
% 14.08/9.25 (~((~v84(constB8, 0)) <=> v123(constB8, 0))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3098, 3079])).
% 14.08/9.25 tff(3100,plain,
% 14.08/9.25 (((~v84(constB8, 0)) <=> v123(constB8, 0)) | (~v84(constB8, 0)) | v123(constB8, 0)),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3101,plain,
% 14.08/9.25 (~v84(constB8, 0)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3100, 3099, 3097])).
% 14.08/9.25 tff(3102,plain,
% 14.08/9.25 (((~v84(constB9, 0)) <=> v84(constB8, 0)) | (~v84(constB9, 0)) | v84(constB8, 0)),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3103,plain,
% 14.08/9.25 (~v84(constB9, 0)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3102, 3101, 3087])).
% 14.08/9.25 tff(3104,plain,
% 14.08/9.25 ((((~v84(constB9, 1)) <=> v84(constB8, 1)) | ((~v84(constB9, 2)) <=> v84(constB8, 2)) | ((~v84(constB9, 0)) <=> v84(constB8, 0))) | (~((~v84(constB9, 1)) <=> v84(constB8, 1)))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3105,plain,
% 14.08/9.25 (~((~v84(constB9, 1)) <=> v84(constB8, 1))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3104, 2010])).
% 14.08/9.25 tff(3106,plain,
% 14.08/9.25 ((((~v123(constB8, 2)) <=> v121(constB7, 2)) | ((~v123(constB8, 1)) <=> v121(constB7, 1)) | ((~v123(constB8, 0)) <=> v121(constB7, 0))) | (~((~v123(constB8, 1)) <=> v121(constB7, 1)))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3107,plain,
% 14.08/9.25 (~((~v123(constB8, 1)) <=> v121(constB7, 1))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3106, 2019])).
% 14.08/9.25 tff(3108,plain,
% 14.08/9.25 ((((~v121(constB7, 2)) <=> v124(constB7, 2)) | ((~v121(constB7, 0)) <=> v124(constB7, 0)) | ((~v121(constB7, 1)) <=> v124(constB7, 1))) | (~((~v121(constB7, 1)) <=> v124(constB7, 1)))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3109,plain,
% 14.08/9.25 (~((~v121(constB7, 1)) <=> v124(constB7, 1))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3108, 2033])).
% 14.08/9.25 tff(3110,plain,
% 14.08/9.25 ((v124(constB7, 2) | v124(constB7, 0) | (~v124(constB7, 1))) | v124(constB7, 1)),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3111,plain,
% 14.08/9.25 (v124(constB7, 1)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3110, 2972])).
% 14.08/9.25 tff(3112,plain,
% 14.08/9.25 (((~v121(constB7, 1)) <=> v124(constB7, 1)) | v121(constB7, 1) | (~v124(constB7, 1))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3113,plain,
% 14.08/9.25 (v121(constB7, 1)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3112, 3111, 3109])).
% 14.08/9.25 tff(3114,plain,
% 14.08/9.25 (((~v123(constB8, 1)) <=> v121(constB7, 1)) | v123(constB8, 1) | (~v121(constB7, 1))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3115,plain,
% 14.08/9.25 (v123(constB8, 1)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3114, 3113, 3107])).
% 14.08/9.25 tff(3116,plain,
% 14.08/9.25 ((((~v84(constB8, 2)) <=> v123(constB8, 2)) | ((~v84(constB8, 1)) <=> v123(constB8, 1)) | ((~v84(constB8, 0)) <=> v123(constB8, 0))) | (~((~v84(constB8, 1)) <=> v123(constB8, 1)))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3117,plain,
% 14.08/9.25 (~((~v84(constB8, 1)) <=> v123(constB8, 1))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3116, 3079])).
% 14.08/9.25 tff(3118,plain,
% 14.08/9.25 (((~v84(constB8, 1)) <=> v123(constB8, 1)) | v84(constB8, 1) | (~v123(constB8, 1))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3119,plain,
% 14.08/9.25 (v84(constB8, 1)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3118, 3117, 3115])).
% 14.08/9.25 tff(3120,plain,
% 14.08/9.25 (((~v84(constB9, 1)) <=> v84(constB8, 1)) | v84(constB9, 1) | (~v84(constB8, 1))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3121,plain,
% 14.08/9.25 (v84(constB9, 1)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3120, 3119, 3105])).
% 14.08/9.25 tff(3122,plain,
% 14.08/9.25 ((~(v84(constB9, 2) | v84(constB9, 0) | (~v84(constB9, 1)))) | v84(constB9, 2) | v84(constB9, 0) | (~v84(constB9, 1))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3123,plain,
% 14.08/9.25 (~(v84(constB9, 2) | v84(constB9, 0) | (~v84(constB9, 1)))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3122, 3121, 3103, 3085])).
% 14.08/9.25 tff(3124,plain,
% 14.08/9.25 ((~(v115(constB9) <=> (~(v84(constB9, 2) | v84(constB9, 0) | (~v84(constB9, 1)))))) | v115(constB9) | (v84(constB9, 2) | v84(constB9, 0) | (~v84(constB9, 1)))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3125,plain,
% 14.08/9.25 (v115(constB9)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3124, 3123, 1976])).
% 14.08/9.25 tff(3126,plain,
% 14.08/9.25 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0))))) <=> ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0))))))),
% 14.08/9.25 inference(bind,[status(th)],[])).
% 14.08/9.25 tff(3127,plain,
% 14.08/9.25 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0))))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))),
% 14.08/9.25 inference(quant_intro,[status(thm)],[3126])).
% 14.08/9.25 tff(3128,plain,
% 14.08/9.25 (^[VarCurr: state_type] : rewrite(((~v115(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & v124(VarCurr, 0))) <=> ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0))))))),
% 14.08/9.25 inference(bind,[status(th)],[])).
% 14.08/9.25 tff(3129,plain,
% 14.08/9.25 (![VarCurr: state_type] : ((~v115(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & v124(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))),
% 14.08/9.25 inference(quant_intro,[status(thm)],[3128])).
% 14.08/9.25 tff(3130,plain,
% 14.08/9.25 (![VarCurr: state_type] : ((~v115(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & v124(VarCurr, 0))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & v124(VarCurr, 0)))),
% 14.08/9.25 inference(rewrite,[status(thm)],[])).
% 14.08/9.25 tff(3131,plain,
% 14.08/9.25 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $true)) <=> ((~v124(VarCurr, 2)) & v124(VarCurr, 1))), rewrite((v124(VarCurr, 0) <=> $true) <=> v124(VarCurr, 0)), ((((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $true)) <=> (((~v124(VarCurr, 2)) & v124(VarCurr, 1)) & v124(VarCurr, 0)))), rewrite((((~v124(VarCurr, 2)) & v124(VarCurr, 1)) & v124(VarCurr, 0)) <=> ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & v124(VarCurr, 0))), ((((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $true)) <=> ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & v124(VarCurr, 0)))), ((v115(VarCurr) => (((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $true))) <=> (v115(VarCurr) => ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & v124(VarCurr, 0))))), rewrite((v115(VarCurr) => ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & v124(VarCurr, 0))) <=> ((~v115(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & v124(VarCurr, 0)))), ((v115(VarCurr) => (((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $true))) <=> ((~v115(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & v124(VarCurr, 0)))))),
% 14.08/9.25 inference(bind,[status(th)],[])).
% 14.08/9.25 tff(3132,plain,
% 14.08/9.25 (![VarCurr: state_type] : (v115(VarCurr) => (((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $true))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & v124(VarCurr, 0)))),
% 14.08/9.25 inference(quant_intro,[status(thm)],[3131])).
% 14.08/9.25 tff(3133,axiom,(![VarCurr: state_type] : (v115(VarCurr) => (((v124(VarCurr, 2) <=> $false) & (v124(VarCurr, 1) <=> $true)) & (v124(VarCurr, 0) <=> $true)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2')).
% 14.08/9.25 tff(3134,plain,
% 14.08/9.25 (![VarCurr: state_type] : ((~v115(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & v124(VarCurr, 0)))),
% 14.08/9.25 inference(modus_ponens,[status(thm)],[3133, 3132])).
% 14.08/9.25 tff(3135,plain,
% 14.08/9.25 (![VarCurr: state_type] : ((~v115(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & v124(VarCurr, 0)))),
% 14.08/9.25 inference(modus_ponens,[status(thm)],[3134, 3130])).
% 14.08/9.25 tff(3136,plain,(
% 14.08/9.25 ![VarCurr: state_type] : ((~v115(VarCurr)) | ((~v124(VarCurr, 2)) & v124(VarCurr, 1) & v124(VarCurr, 0)))),
% 14.08/9.25 inference(skolemize,[status(sab)],[3135])).
% 14.08/9.25 tff(3137,plain,
% 14.08/9.25 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))),
% 14.08/9.25 inference(modus_ponens,[status(thm)],[3136, 3129])).
% 14.08/9.25 tff(3138,plain,
% 14.08/9.25 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))),
% 14.08/9.25 inference(modus_ponens,[status(thm)],[3137, 3127])).
% 14.08/9.25 tff(3139,plain,
% 14.08/9.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB9)) | (~(v124(constB9, 2) | (~v124(constB9, 0)) | (~v124(constB9, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB9)) | (~(v124(constB9, 2) | (~v124(constB9, 0)) | (~v124(constB9, 1)))))),
% 14.08/9.25 inference(rewrite,[status(thm)],[])).
% 14.08/9.25 tff(3140,plain,
% 14.08/9.25 (((~v115(constB9)) | (~(v124(constB9, 2) | (~v124(constB9, 1)) | (~v124(constB9, 0))))) <=> ((~v115(constB9)) | (~(v124(constB9, 2) | (~v124(constB9, 0)) | (~v124(constB9, 1)))))),
% 14.08/9.25 inference(rewrite,[status(thm)],[])).
% 14.08/9.25 tff(3141,plain,
% 14.08/9.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB9)) | (~(v124(constB9, 2) | (~v124(constB9, 1)) | (~v124(constB9, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB9)) | (~(v124(constB9, 2) | (~v124(constB9, 0)) | (~v124(constB9, 1))))))),
% 14.08/9.25 inference(monotonicity,[status(thm)],[3140])).
% 14.08/9.25 tff(3142,plain,
% 14.08/9.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB9)) | (~(v124(constB9, 2) | (~v124(constB9, 1)) | (~v124(constB9, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB9)) | (~(v124(constB9, 2) | (~v124(constB9, 0)) | (~v124(constB9, 1)))))),
% 14.08/9.25 inference(transitivity,[status(thm)],[3141, 3139])).
% 14.08/9.25 tff(3143,plain,
% 14.08/9.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB9)) | (~(v124(constB9, 2) | (~v124(constB9, 1)) | (~v124(constB9, 0)))))),
% 14.08/9.25 inference(quant_inst,[status(thm)],[])).
% 14.08/9.25 tff(3144,plain,
% 14.08/9.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB9)) | (~(v124(constB9, 2) | (~v124(constB9, 0)) | (~v124(constB9, 1))))),
% 14.08/9.25 inference(modus_ponens,[status(thm)],[3143, 3142])).
% 14.08/9.25 tff(3145,plain,
% 14.08/9.25 ((~v115(constB9)) | (~(v124(constB9, 2) | (~v124(constB9, 0)) | (~v124(constB9, 1))))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3144, 3138])).
% 14.08/9.25 tff(3146,plain,
% 14.08/9.25 (~(v124(constB9, 2) | (~v124(constB9, 0)) | (~v124(constB9, 1)))),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3145, 3125])).
% 14.08/9.25 tff(3147,plain,
% 14.08/9.25 ((v124(constB9, 2) | (~v124(constB9, 0)) | (~v124(constB9, 1))) | (~v124(constB9, 2))),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3148,plain,
% 14.08/9.25 (~v124(constB9, 2)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3147, 3146])).
% 14.08/9.25 tff(3149,plain,
% 14.08/9.25 (((~v121(constB9, 2)) <=> v124(constB9, 2)) | (~v121(constB9, 2)) | v124(constB9, 2)),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3150,plain,
% 14.08/9.25 (~v121(constB9, 2)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3149, 3148, 1969])).
% 14.08/9.25 tff(3151,plain,
% 14.08/9.25 (((~v123(constB10, 2)) <=> v121(constB9, 2)) | (~v123(constB10, 2)) | v121(constB9, 2)),
% 14.08/9.25 inference(tautology,[status(thm)],[])).
% 14.08/9.25 tff(3152,plain,
% 14.08/9.25 (~v123(constB10, 2)),
% 14.08/9.25 inference(unit_resolution,[status(thm)],[3151, 3150, 1955])).
% 14.08/9.25 tff(3153,plain,
% 14.08/9.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB9, constB10)) | (v94(constB10) <=> (~((~v95(constB10)) | (~v104(constB10))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB9, constB10)) | (v94(constB10) <=> (~((~v95(constB10)) | (~v104(constB10))))))),
% 14.08/9.26 inference(rewrite,[status(thm)],[])).
% 14.08/9.26 tff(3154,plain,
% 14.08/9.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB9, constB10)) | (v94(constB10) <=> (~((~v95(constB10)) | (~v104(constB10))))))),
% 14.08/9.26 inference(quant_inst,[status(thm)],[])).
% 14.08/9.26 tff(3155,plain,
% 14.08/9.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB9, constB10)) | (v94(constB10) <=> (~((~v95(constB10)) | (~v104(constB10)))))),
% 14.08/9.26 inference(modus_ponens,[status(thm)],[3154, 3153])).
% 14.08/9.26 tff(3156,plain,
% 14.08/9.26 (v94(constB10) <=> (~((~v95(constB10)) | (~v104(constB10))))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3155, 1949, 770])).
% 14.08/9.26 tff(3157,plain,
% 14.08/9.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10))))))),
% 14.08/9.26 inference(rewrite,[status(thm)],[])).
% 14.08/9.26 tff(3158,plain,
% 14.08/9.26 (((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v96(constB10)) | (~v1(constB10)))))) <=> ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10))))))),
% 14.08/9.26 inference(rewrite,[status(thm)],[])).
% 14.08/9.26 tff(3159,plain,
% 14.08/9.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v96(constB10)) | (~v1(constB10))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10)))))))),
% 14.08/9.26 inference(monotonicity,[status(thm)],[3158])).
% 14.08/9.26 tff(3160,plain,
% 14.08/9.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v96(constB10)) | (~v1(constB10))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10))))))),
% 14.08/9.26 inference(transitivity,[status(thm)],[3159, 3157])).
% 14.08/9.26 tff(3161,plain,
% 14.08/9.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v96(constB10)) | (~v1(constB10))))))),
% 14.08/9.26 inference(quant_inst,[status(thm)],[])).
% 14.08/9.26 tff(3162,plain,
% 14.08/9.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10)))))),
% 14.08/9.26 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 14.08/9.26 tff(3163,plain,
% 14.08/9.26 (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10))))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3162, 1949, 790])).
% 14.08/9.26 tff(3164,plain,
% 14.08/9.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB9, constB10)) | ((~v96(constB10)) <=> v98(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB9, constB10)) | ((~v96(constB10)) <=> v98(constB10)))),
% 14.08/9.26 inference(rewrite,[status(thm)],[])).
% 14.08/9.26 tff(3165,plain,
% 14.08/9.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB9, constB10)) | ((~v96(constB10)) <=> v98(constB10)))),
% 14.08/9.26 inference(quant_inst,[status(thm)],[])).
% 14.08/9.26 tff(3166,plain,
% 14.08/9.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB9, constB10)) | ((~v96(constB10)) <=> v98(constB10))),
% 14.08/9.26 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 14.08/9.26 tff(3167,plain,
% 14.08/9.26 ((~v96(constB10)) <=> v98(constB10)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3166, 1949, 2332])).
% 14.08/9.26 tff(3168,plain,
% 14.08/9.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v98(constB10) <=> v1(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v98(constB10) <=> v1(constB9)))),
% 14.08/9.26 inference(rewrite,[status(thm)],[])).
% 14.08/9.26 tff(3169,plain,
% 14.08/9.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v98(constB10) <=> v1(constB9)))),
% 14.08/9.26 inference(quant_inst,[status(thm)],[])).
% 14.08/9.26 tff(3170,plain,
% 14.08/9.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v98(constB10) <=> v1(constB9))),
% 14.08/9.26 inference(modus_ponens,[status(thm)],[3169, 3168])).
% 14.08/9.26 tff(3171,plain,
% 14.08/9.26 (v98(constB10) <=> v1(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3170, 1949, 2346])).
% 14.08/9.26 tff(3172,plain,
% 14.08/9.26 ((~(v98(constB10) <=> v1(constB9))) | (~v98(constB10)) | v1(constB9)),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3173,plain,
% 14.08/9.26 ((~(v98(constB10) <=> v1(constB9))) | (~v98(constB10))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3172, 1993])).
% 14.08/9.26 tff(3174,plain,
% 14.08/9.26 (~v98(constB10)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3173, 3171])).
% 14.08/9.26 tff(3175,plain,
% 14.08/9.26 ((~((~v96(constB10)) <=> v98(constB10))) | v96(constB10) | v98(constB10)),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3176,plain,
% 14.08/9.26 (v96(constB10)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3175, 3174, 3167])).
% 14.08/9.26 tff(3177,plain,
% 14.08/9.26 (v1(constB10) <=> v1(constB10)),
% 14.08/9.26 inference(rewrite,[status(thm)],[])).
% 14.08/9.26 tff(3178,axiom,(v1(constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_10')).
% 14.08/9.26 tff(3179,plain,
% 14.08/9.26 (v1(constB10)),
% 14.08/9.26 inference(modus_ponens,[status(thm)],[3178, 3177])).
% 14.08/9.26 tff(3180,plain,
% 14.08/9.26 ((~((~v1(constB10)) | (~v96(constB10)))) | (~v1(constB10)) | (~v96(constB10))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3181,plain,
% 14.08/9.26 ((~((~v1(constB10)) | (~v96(constB10)))) | (~v96(constB10))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3180, 3179])).
% 14.08/9.26 tff(3182,plain,
% 14.08/9.26 (~((~v1(constB10)) | (~v96(constB10)))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3181, 3176])).
% 14.08/9.26 tff(3183,plain,
% 14.08/9.26 ((~(v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10)))))) | v95(constB10) | ((~v1(constB10)) | (~v96(constB10)))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3184,plain,
% 14.08/9.26 (v95(constB10)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3183, 3182, 3163])).
% 14.08/9.26 tff(3185,plain,
% 14.08/9.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v102(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v102(constB9)))),
% 14.08/9.26 inference(rewrite,[status(thm)],[])).
% 14.08/9.26 tff(3186,plain,
% 14.08/9.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v102(constB9)))),
% 14.08/9.26 inference(quant_inst,[status(thm)],[])).
% 14.08/9.26 tff(3187,plain,
% 14.08/9.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v102(constB9))),
% 14.08/9.26 inference(modus_ponens,[status(thm)],[3186, 3185])).
% 14.08/9.26 tff(3188,plain,
% 14.08/9.26 (v104(constB10) <=> v102(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3187, 1949, 2373])).
% 14.08/9.26 tff(3189,plain,
% 14.08/9.26 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB9) <=> (v105(constB9) | v106(constB9)))),
% 14.08/9.26 inference(quant_inst,[status(thm)],[])).
% 14.08/9.26 tff(3190,plain,
% 14.08/9.26 (v102(constB9) <=> (v105(constB9) | v106(constB9))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3189, 2384])).
% 14.08/9.26 tff(3191,plain,
% 14.08/9.26 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB9) <=> (~((~v107(constB9)) | (~v120(constB9)))))),
% 14.08/9.26 inference(quant_inst,[status(thm)],[])).
% 14.08/9.26 tff(3192,plain,
% 14.08/9.26 (v106(constB9) <=> (~((~v107(constB9)) | (~v120(constB9))))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3191, 2396])).
% 14.08/9.26 tff(3193,plain,
% 14.08/9.26 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB9) <=> (v108(constB9) | v119(constB9)))),
% 14.08/9.26 inference(quant_inst,[status(thm)],[])).
% 14.08/9.26 tff(3194,plain,
% 14.08/9.26 (v107(constB9) <=> (v108(constB9) | v119(constB9))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3193, 2405])).
% 14.08/9.26 tff(3195,plain,
% 14.08/9.26 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB9) <=> (v109(constB9) | v118(constB9)))),
% 14.08/9.26 inference(quant_inst,[status(thm)],[])).
% 14.08/9.26 tff(3196,plain,
% 14.08/9.26 (v108(constB9) <=> (v109(constB9) | v118(constB9))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3195, 2414])).
% 14.08/9.26 tff(3197,plain,
% 14.08/9.26 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB9) <=> (v110(constB9) | v117(constB9)))),
% 14.08/9.26 inference(quant_inst,[status(thm)],[])).
% 14.08/9.26 tff(3198,plain,
% 14.08/9.26 (v109(constB9) <=> (v110(constB9) | v117(constB9))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3197, 2423])).
% 14.08/9.26 tff(3199,plain,
% 14.08/9.26 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB9) <=> (v111(constB9) | v116(constB9)))),
% 14.08/9.26 inference(quant_inst,[status(thm)],[])).
% 14.08/9.26 tff(3200,plain,
% 14.08/9.26 (v110(constB9) <=> (v111(constB9) | v116(constB9))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3199, 2432])).
% 14.08/9.26 tff(3201,plain,
% 14.08/9.26 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB9) <=> (v112(constB9) | v115(constB9)))),
% 14.08/9.26 inference(quant_inst,[status(thm)],[])).
% 14.08/9.26 tff(3202,plain,
% 14.08/9.26 (v111(constB9) <=> (v112(constB9) | v115(constB9))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3201, 2441])).
% 14.08/9.26 tff(3203,plain,
% 14.08/9.26 ((v112(constB9) | v115(constB9)) | (~v115(constB9))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3204,plain,
% 14.08/9.26 (v112(constB9) | v115(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3203, 3125])).
% 14.08/9.26 tff(3205,plain,
% 14.08/9.26 ((~(v111(constB9) <=> (v112(constB9) | v115(constB9)))) | v111(constB9) | (~(v112(constB9) | v115(constB9)))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3206,plain,
% 14.08/9.26 (v111(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3205, 3204, 3202])).
% 14.08/9.26 tff(3207,plain,
% 14.08/9.26 ((v111(constB9) | v116(constB9)) | (~v111(constB9))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3208,plain,
% 14.08/9.26 (v111(constB9) | v116(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3207, 3206])).
% 14.08/9.26 tff(3209,plain,
% 14.08/9.26 ((~(v110(constB9) <=> (v111(constB9) | v116(constB9)))) | v110(constB9) | (~(v111(constB9) | v116(constB9)))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3210,plain,
% 14.08/9.26 (v110(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3209, 3208, 3200])).
% 14.08/9.26 tff(3211,plain,
% 14.08/9.26 ((v110(constB9) | v117(constB9)) | (~v110(constB9))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3212,plain,
% 14.08/9.26 (v110(constB9) | v117(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3211, 3210])).
% 14.08/9.26 tff(3213,plain,
% 14.08/9.26 ((~(v109(constB9) <=> (v110(constB9) | v117(constB9)))) | v109(constB9) | (~(v110(constB9) | v117(constB9)))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3214,plain,
% 14.08/9.26 (v109(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3213, 3212, 3198])).
% 14.08/9.26 tff(3215,plain,
% 14.08/9.26 ((v109(constB9) | v118(constB9)) | (~v109(constB9))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3216,plain,
% 14.08/9.26 (v109(constB9) | v118(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3215, 3214])).
% 14.08/9.26 tff(3217,plain,
% 14.08/9.26 ((~(v108(constB9) <=> (v109(constB9) | v118(constB9)))) | v108(constB9) | (~(v109(constB9) | v118(constB9)))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3218,plain,
% 14.08/9.26 (v108(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3217, 3216, 3196])).
% 14.08/9.26 tff(3219,plain,
% 14.08/9.26 ((v108(constB9) | v119(constB9)) | (~v108(constB9))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3220,plain,
% 14.08/9.26 (v108(constB9) | v119(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3219, 3218])).
% 14.08/9.26 tff(3221,plain,
% 14.08/9.26 ((~(v107(constB9) <=> (v108(constB9) | v119(constB9)))) | v107(constB9) | (~(v108(constB9) | v119(constB9)))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3222,plain,
% 14.08/9.26 (v107(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3221, 3220, 3194])).
% 14.08/9.26 tff(3223,plain,
% 14.08/9.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB9)) <=> v105(constB9))),
% 14.08/9.26 inference(quant_inst,[status(thm)],[])).
% 14.08/9.26 tff(3224,plain,
% 14.08/9.26 ((~v120(constB9)) <=> v105(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3223, 2484])).
% 14.08/9.26 tff(3225,plain,
% 14.08/9.26 ((~((~v120(constB9)) <=> v105(constB9))) | v120(constB9) | v105(constB9)),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3226,plain,
% 14.08/9.26 ((~((~v120(constB9)) <=> v105(constB9))) | v120(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3225, 1962])).
% 14.08/9.26 tff(3227,plain,
% 14.08/9.26 (v120(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3226, 3224])).
% 14.08/9.26 tff(3228,plain,
% 14.08/9.26 ((~((~v107(constB9)) | (~v120(constB9)))) | (~v107(constB9)) | (~v120(constB9))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3229,plain,
% 14.08/9.26 ((~((~v107(constB9)) | (~v120(constB9)))) | (~v107(constB9))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3228, 3227])).
% 14.08/9.26 tff(3230,plain,
% 14.08/9.26 (~((~v107(constB9)) | (~v120(constB9)))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3229, 3222])).
% 14.08/9.26 tff(3231,plain,
% 14.08/9.26 ((~(v106(constB9) <=> (~((~v107(constB9)) | (~v120(constB9)))))) | v106(constB9) | ((~v107(constB9)) | (~v120(constB9)))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3232,plain,
% 14.08/9.26 (v106(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3231, 3230, 3192])).
% 14.08/9.26 tff(3233,plain,
% 14.08/9.26 ((v105(constB9) | v106(constB9)) | (~v106(constB9))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3234,plain,
% 14.08/9.26 (v105(constB9) | v106(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3233, 3232])).
% 14.08/9.26 tff(3235,plain,
% 14.08/9.26 ((~(v102(constB9) <=> (v105(constB9) | v106(constB9)))) | v102(constB9) | (~(v105(constB9) | v106(constB9)))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3236,plain,
% 14.08/9.26 (v102(constB9)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3235, 3234, 3190])).
% 14.08/9.26 tff(3237,plain,
% 14.08/9.26 ((~(v104(constB10) <=> v102(constB9))) | v104(constB10) | (~v102(constB9))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3238,plain,
% 14.08/9.26 (v104(constB10)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3237, 3236, 3188])).
% 14.08/9.26 tff(3239,plain,
% 14.08/9.26 ((~((~v95(constB10)) | (~v104(constB10)))) | (~v95(constB10)) | (~v104(constB10))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3240,plain,
% 14.08/9.26 (~((~v95(constB10)) | (~v104(constB10)))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3239, 3238, 3184])).
% 14.08/9.26 tff(3241,plain,
% 14.08/9.26 ((~(v94(constB10) <=> (~((~v95(constB10)) | (~v104(constB10)))))) | v94(constB10) | ((~v95(constB10)) | (~v104(constB10)))),
% 14.08/9.26 inference(tautology,[status(thm)],[])).
% 14.08/9.26 tff(3242,plain,
% 14.08/9.26 (v94(constB10)),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3241, 3240, 3156])).
% 14.08/9.26 tff(3243,plain,
% 14.08/9.26 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB10)) | (~(((~v84(constB10, 0)) <=> v123(constB10, 0)) | ((~v84(constB10, 2)) <=> v123(constB10, 2)) | ((~v84(constB10, 1)) <=> v123(constB10, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB10)) | (~(((~v84(constB10, 0)) <=> v123(constB10, 0)) | ((~v84(constB10, 2)) <=> v123(constB10, 2)) | ((~v84(constB10, 1)) <=> v123(constB10, 1)))))),
% 14.08/9.26 inference(rewrite,[status(thm)],[])).
% 14.08/9.26 tff(3244,plain,
% 14.08/9.26 (((~v94(constB10)) | (~(((~v84(constB10, 2)) <=> v123(constB10, 2)) | ((~v84(constB10, 1)) <=> v123(constB10, 1)) | ((~v84(constB10, 0)) <=> v123(constB10, 0))))) <=> ((~v94(constB10)) | (~(((~v84(constB10, 0)) <=> v123(constB10, 0)) | ((~v84(constB10, 2)) <=> v123(constB10, 2)) | ((~v84(constB10, 1)) <=> v123(constB10, 1)))))),
% 14.08/9.26 inference(rewrite,[status(thm)],[])).
% 14.08/9.26 tff(3245,plain,
% 14.08/9.26 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB10)) | (~(((~v84(constB10, 2)) <=> v123(constB10, 2)) | ((~v84(constB10, 1)) <=> v123(constB10, 1)) | ((~v84(constB10, 0)) <=> v123(constB10, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB10)) | (~(((~v84(constB10, 0)) <=> v123(constB10, 0)) | ((~v84(constB10, 2)) <=> v123(constB10, 2)) | ((~v84(constB10, 1)) <=> v123(constB10, 1))))))),
% 14.08/9.26 inference(monotonicity,[status(thm)],[3244])).
% 14.08/9.26 tff(3246,plain,
% 14.08/9.26 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB10)) | (~(((~v84(constB10, 2)) <=> v123(constB10, 2)) | ((~v84(constB10, 1)) <=> v123(constB10, 1)) | ((~v84(constB10, 0)) <=> v123(constB10, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB10)) | (~(((~v84(constB10, 0)) <=> v123(constB10, 0)) | ((~v84(constB10, 2)) <=> v123(constB10, 2)) | ((~v84(constB10, 1)) <=> v123(constB10, 1)))))),
% 14.08/9.26 inference(transitivity,[status(thm)],[3245, 3243])).
% 14.08/9.26 tff(3247,plain,
% 14.08/9.26 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB10)) | (~(((~v84(constB10, 2)) <=> v123(constB10, 2)) | ((~v84(constB10, 1)) <=> v123(constB10, 1)) | ((~v84(constB10, 0)) <=> v123(constB10, 0)))))),
% 14.08/9.26 inference(quant_inst,[status(thm)],[])).
% 14.08/9.26 tff(3248,plain,
% 14.08/9.26 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB10)) | (~(((~v84(constB10, 0)) <=> v123(constB10, 0)) | ((~v84(constB10, 2)) <=> v123(constB10, 2)) | ((~v84(constB10, 1)) <=> v123(constB10, 1))))),
% 14.08/9.26 inference(modus_ponens,[status(thm)],[3247, 3246])).
% 14.08/9.26 tff(3249,plain,
% 14.08/9.26 ((~v94(constB10)) | (~(((~v84(constB10, 0)) <=> v123(constB10, 0)) | ((~v84(constB10, 2)) <=> v123(constB10, 2)) | ((~v84(constB10, 1)) <=> v123(constB10, 1))))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3248, 2517])).
% 14.08/9.26 tff(3250,plain,
% 14.08/9.26 (~(((~v84(constB10, 0)) <=> v123(constB10, 0)) | ((~v84(constB10, 2)) <=> v123(constB10, 2)) | ((~v84(constB10, 1)) <=> v123(constB10, 1)))),
% 14.08/9.26 inference(unit_resolution,[status(thm)],[3249, 3242])).
% 14.08/9.26 tff(3251,plain,
% 14.08/9.26 ((((~v84(constB10, 0)) <=> v123(constB10, 0)) | ((~v84(constB10, 2)) <=> v123(constB10, 2)) | ((~v84(constB10, 1)) <=> v123(constB10, 1))) | (~((~v84(constB10, 2)) <=> v123(constB10, 2)))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3252,plain,
% 14.08/9.27 (~((~v84(constB10, 2)) <=> v123(constB10, 2))),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3251, 3250])).
% 14.08/9.27 tff(3253,plain,
% 14.08/9.27 (((~v84(constB10, 2)) <=> v123(constB10, 2)) | (~v84(constB10, 2)) | v123(constB10, 2)),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3254,plain,
% 14.08/9.27 (~v84(constB10, 2)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3253, 3252, 3152])).
% 14.08/9.27 tff(3255,plain,
% 14.08/9.27 (((~v84(constB11, 2)) <=> v84(constB10, 2)) | (~v84(constB11, 2)) | v84(constB10, 2)),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3256,plain,
% 14.08/9.27 (~v84(constB11, 2)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3255, 3254, 1946])).
% 14.08/9.27 tff(3257,plain,
% 14.08/9.27 ((((~v84(constB11, 1)) <=> v84(constB10, 1)) | ((~v84(constB11, 2)) <=> v84(constB10, 2)) | ((~v84(constB11, 0)) <=> v84(constB10, 0))) | (~((~v84(constB11, 0)) <=> v84(constB10, 0)))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3258,plain,
% 14.08/9.27 (~((~v84(constB11, 0)) <=> v84(constB10, 0))),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3257, 1944])).
% 14.08/9.27 tff(3259,plain,
% 14.08/9.27 ((((~v123(constB10, 2)) <=> v121(constB9, 2)) | ((~v123(constB10, 1)) <=> v121(constB9, 1)) | ((~v123(constB10, 0)) <=> v121(constB9, 0))) | (~((~v123(constB10, 0)) <=> v121(constB9, 0)))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3260,plain,
% 14.08/9.27 (~((~v123(constB10, 0)) <=> v121(constB9, 0))),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3259, 1953])).
% 14.08/9.27 tff(3261,plain,
% 14.08/9.27 ((((~v121(constB9, 2)) <=> v124(constB9, 2)) | ((~v121(constB9, 0)) <=> v124(constB9, 0)) | ((~v121(constB9, 1)) <=> v124(constB9, 1))) | (~((~v121(constB9, 0)) <=> v124(constB9, 0)))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3262,plain,
% 14.08/9.27 (~((~v121(constB9, 0)) <=> v124(constB9, 0))),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3261, 1967])).
% 14.08/9.27 tff(3263,plain,
% 14.08/9.27 ((v124(constB9, 2) | (~v124(constB9, 0)) | (~v124(constB9, 1))) | v124(constB9, 0)),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3264,plain,
% 14.08/9.27 (v124(constB9, 0)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3263, 3146])).
% 14.08/9.27 tff(3265,plain,
% 14.08/9.27 (((~v121(constB9, 0)) <=> v124(constB9, 0)) | v121(constB9, 0) | (~v124(constB9, 0))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3266,plain,
% 14.08/9.27 (v121(constB9, 0)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3265, 3264, 3262])).
% 14.08/9.27 tff(3267,plain,
% 14.08/9.27 (((~v123(constB10, 0)) <=> v121(constB9, 0)) | v123(constB10, 0) | (~v121(constB9, 0))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3268,plain,
% 14.08/9.27 (v123(constB10, 0)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3267, 3266, 3260])).
% 14.08/9.27 tff(3269,plain,
% 14.08/9.27 ((((~v84(constB10, 0)) <=> v123(constB10, 0)) | ((~v84(constB10, 2)) <=> v123(constB10, 2)) | ((~v84(constB10, 1)) <=> v123(constB10, 1))) | (~((~v84(constB10, 0)) <=> v123(constB10, 0)))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3270,plain,
% 14.08/9.27 (~((~v84(constB10, 0)) <=> v123(constB10, 0))),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3269, 3250])).
% 14.08/9.27 tff(3271,plain,
% 14.08/9.27 (((~v84(constB10, 0)) <=> v123(constB10, 0)) | v84(constB10, 0) | (~v123(constB10, 0))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3272,plain,
% 14.08/9.27 (v84(constB10, 0)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3271, 3270, 3268])).
% 14.08/9.27 tff(3273,plain,
% 14.08/9.27 (((~v84(constB11, 0)) <=> v84(constB10, 0)) | v84(constB11, 0) | (~v84(constB10, 0))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3274,plain,
% 14.08/9.27 (v84(constB11, 0)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3273, 3272, 3258])).
% 14.08/9.27 tff(3275,plain,
% 14.08/9.27 ((((~v84(constB11, 1)) <=> v84(constB10, 1)) | ((~v84(constB11, 2)) <=> v84(constB10, 2)) | ((~v84(constB11, 0)) <=> v84(constB10, 0))) | (~((~v84(constB11, 1)) <=> v84(constB10, 1)))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3276,plain,
% 14.08/9.27 (~((~v84(constB11, 1)) <=> v84(constB10, 1))),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3275, 1944])).
% 14.08/9.27 tff(3277,plain,
% 14.08/9.27 ((((~v123(constB10, 2)) <=> v121(constB9, 2)) | ((~v123(constB10, 1)) <=> v121(constB9, 1)) | ((~v123(constB10, 0)) <=> v121(constB9, 0))) | (~((~v123(constB10, 1)) <=> v121(constB9, 1)))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3278,plain,
% 14.08/9.27 (~((~v123(constB10, 1)) <=> v121(constB9, 1))),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3277, 1953])).
% 14.08/9.27 tff(3279,plain,
% 14.08/9.27 ((((~v121(constB9, 2)) <=> v124(constB9, 2)) | ((~v121(constB9, 0)) <=> v124(constB9, 0)) | ((~v121(constB9, 1)) <=> v124(constB9, 1))) | (~((~v121(constB9, 1)) <=> v124(constB9, 1)))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3280,plain,
% 14.08/9.27 (~((~v121(constB9, 1)) <=> v124(constB9, 1))),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3279, 1967])).
% 14.08/9.27 tff(3281,plain,
% 14.08/9.27 ((v124(constB9, 2) | (~v124(constB9, 0)) | (~v124(constB9, 1))) | v124(constB9, 1)),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3282,plain,
% 14.08/9.27 (v124(constB9, 1)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3281, 3146])).
% 14.08/9.27 tff(3283,plain,
% 14.08/9.27 (((~v121(constB9, 1)) <=> v124(constB9, 1)) | v121(constB9, 1) | (~v124(constB9, 1))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3284,plain,
% 14.08/9.27 (v121(constB9, 1)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3283, 3282, 3280])).
% 14.08/9.27 tff(3285,plain,
% 14.08/9.27 (((~v123(constB10, 1)) <=> v121(constB9, 1)) | v123(constB10, 1) | (~v121(constB9, 1))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3286,plain,
% 14.08/9.27 (v123(constB10, 1)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3285, 3284, 3278])).
% 14.08/9.27 tff(3287,plain,
% 14.08/9.27 ((((~v84(constB10, 0)) <=> v123(constB10, 0)) | ((~v84(constB10, 2)) <=> v123(constB10, 2)) | ((~v84(constB10, 1)) <=> v123(constB10, 1))) | (~((~v84(constB10, 1)) <=> v123(constB10, 1)))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3288,plain,
% 14.08/9.27 (~((~v84(constB10, 1)) <=> v123(constB10, 1))),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3287, 3250])).
% 14.08/9.27 tff(3289,plain,
% 14.08/9.27 (((~v84(constB10, 1)) <=> v123(constB10, 1)) | v84(constB10, 1) | (~v123(constB10, 1))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3290,plain,
% 14.08/9.27 (v84(constB10, 1)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3289, 3288, 3286])).
% 14.08/9.27 tff(3291,plain,
% 14.08/9.27 (((~v84(constB11, 1)) <=> v84(constB10, 1)) | v84(constB11, 1) | (~v84(constB10, 1))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3292,plain,
% 14.08/9.27 (v84(constB11, 1)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3291, 3290, 3276])).
% 14.08/9.27 tff(3293,plain,
% 14.08/9.27 ((~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))) | v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3294,plain,
% 14.08/9.27 (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3293, 3292, 3274, 3256])).
% 14.08/9.27 tff(3295,plain,
% 14.08/9.27 ((~(v116(constB11) <=> (~(v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))))) | v116(constB11) | (v84(constB11, 2) | (~v84(constB11, 1)) | (~v84(constB11, 0)))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3296,plain,
% 14.08/9.27 (v116(constB11)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3295, 3294, 1910])).
% 14.08/9.27 tff(3297,plain,
% 14.08/9.27 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2))))) <=> ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2))))))),
% 14.08/9.27 inference(bind,[status(th)],[])).
% 14.08/9.27 tff(3298,plain,
% 14.08/9.27 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2))))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))),
% 14.08/9.27 inference(quant_intro,[status(thm)],[3297])).
% 14.08/9.27 tff(3299,plain,
% 14.08/9.27 (^[VarCurr: state_type] : rewrite(((~v116(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0)))) <=> ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2))))))),
% 14.08/9.27 inference(bind,[status(th)],[])).
% 14.08/9.27 tff(3300,plain,
% 14.08/9.27 (![VarCurr: state_type] : ((~v116(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))),
% 14.08/9.27 inference(quant_intro,[status(thm)],[3299])).
% 14.08/9.27 tff(3301,plain,
% 14.08/9.27 (![VarCurr: state_type] : ((~v116(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0)))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))),
% 14.08/9.27 inference(rewrite,[status(thm)],[])).
% 14.08/9.27 tff(3302,plain,
% 14.08/9.27 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $false)) <=> (v124(VarCurr, 2) & (~v124(VarCurr, 1)))), rewrite((v124(VarCurr, 0) <=> $false) <=> (~v124(VarCurr, 0))), ((((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $false)) <=> ((v124(VarCurr, 2) & (~v124(VarCurr, 1))) & (~v124(VarCurr, 0))))), rewrite(((v124(VarCurr, 2) & (~v124(VarCurr, 1))) & (~v124(VarCurr, 0))) <=> (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0)))), ((((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $false)) <=> (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))), ((v116(VarCurr) => (((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $false))) <=> (v116(VarCurr) => (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0)))))), rewrite((v116(VarCurr) => (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0)))) <=> ((~v116(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))), ((v116(VarCurr) => (((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $false))) <=> ((~v116(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))))),
% 14.08/9.27 inference(bind,[status(th)],[])).
% 14.08/9.27 tff(3303,plain,
% 14.08/9.27 (![VarCurr: state_type] : (v116(VarCurr) => (((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))),
% 14.08/9.27 inference(quant_intro,[status(thm)],[3302])).
% 14.08/9.27 tff(3304,axiom,(![VarCurr: state_type] : (v116(VarCurr) => (((v124(VarCurr, 2) <=> $true) & (v124(VarCurr, 1) <=> $false)) & (v124(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3')).
% 14.08/9.27 tff(3305,plain,
% 14.08/9.27 (![VarCurr: state_type] : ((~v116(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))),
% 14.08/9.27 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 14.08/9.27 tff(3306,plain,
% 14.08/9.27 (![VarCurr: state_type] : ((~v116(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))),
% 14.08/9.27 inference(modus_ponens,[status(thm)],[3305, 3301])).
% 14.08/9.27 tff(3307,plain,(
% 14.08/9.27 ![VarCurr: state_type] : ((~v116(VarCurr)) | (v124(VarCurr, 2) & (~v124(VarCurr, 1)) & (~v124(VarCurr, 0))))),
% 14.08/9.27 inference(skolemize,[status(sab)],[3306])).
% 14.08/9.27 tff(3308,plain,
% 14.08/9.27 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))),
% 14.08/9.27 inference(modus_ponens,[status(thm)],[3307, 3300])).
% 14.08/9.27 tff(3309,plain,
% 14.08/9.27 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))),
% 14.08/9.27 inference(modus_ponens,[status(thm)],[3308, 3298])).
% 14.08/9.27 tff(3310,plain,
% 14.08/9.27 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB11)) | (~(v124(constB11, 0) | v124(constB11, 1) | (~v124(constB11, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB11)) | (~(v124(constB11, 0) | v124(constB11, 1) | (~v124(constB11, 2)))))),
% 14.08/9.27 inference(rewrite,[status(thm)],[])).
% 14.08/9.27 tff(3311,plain,
% 14.08/9.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB11)) | (~(v124(constB11, 0) | v124(constB11, 1) | (~v124(constB11, 2)))))),
% 14.08/9.27 inference(quant_inst,[status(thm)],[])).
% 14.08/9.27 tff(3312,plain,
% 14.08/9.27 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB11)) | (~(v124(constB11, 0) | v124(constB11, 1) | (~v124(constB11, 2))))),
% 14.08/9.27 inference(modus_ponens,[status(thm)],[3311, 3310])).
% 14.08/9.27 tff(3313,plain,
% 14.08/9.27 ((~v116(constB11)) | (~(v124(constB11, 0) | v124(constB11, 1) | (~v124(constB11, 2))))),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3312, 3309])).
% 14.08/9.27 tff(3314,plain,
% 14.08/9.27 (~(v124(constB11, 0) | v124(constB11, 1) | (~v124(constB11, 2)))),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3313, 3296])).
% 14.08/9.27 tff(3315,plain,
% 14.08/9.27 ((v124(constB11, 0) | v124(constB11, 1) | (~v124(constB11, 2))) | v124(constB11, 2)),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3316,plain,
% 14.08/9.27 (v124(constB11, 2)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3315, 3314])).
% 14.08/9.27 tff(3317,plain,
% 14.08/9.27 (((~v121(constB11, 2)) <=> v124(constB11, 2)) | v121(constB11, 2) | (~v124(constB11, 2))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3318,plain,
% 14.08/9.27 (v121(constB11, 2)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3317, 3316, 1908])).
% 14.08/9.27 tff(3319,plain,
% 14.08/9.27 (((~v123(constB12, 2)) <=> v121(constB11, 2)) | v123(constB12, 2) | (~v121(constB11, 2))),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3320,plain,
% 14.08/9.27 (v123(constB12, 2)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3319, 3318, 1894])).
% 14.08/9.27 tff(3321,plain,
% 14.08/9.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB11, constB12)) | (v94(constB12) <=> (~((~v95(constB12)) | (~v104(constB12))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB11, constB12)) | (v94(constB12) <=> (~((~v95(constB12)) | (~v104(constB12))))))),
% 14.08/9.27 inference(rewrite,[status(thm)],[])).
% 14.08/9.27 tff(3322,plain,
% 14.08/9.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB11, constB12)) | (v94(constB12) <=> (~((~v95(constB12)) | (~v104(constB12))))))),
% 14.08/9.27 inference(quant_inst,[status(thm)],[])).
% 14.08/9.27 tff(3323,plain,
% 14.08/9.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB11, constB12)) | (v94(constB12) <=> (~((~v95(constB12)) | (~v104(constB12)))))),
% 14.08/9.27 inference(modus_ponens,[status(thm)],[3322, 3321])).
% 14.08/9.27 tff(3324,plain,
% 14.08/9.27 (v94(constB12) <=> (~((~v95(constB12)) | (~v104(constB12))))),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3323, 1888, 770])).
% 14.08/9.27 tff(3325,plain,
% 14.08/9.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12))))))),
% 14.08/9.27 inference(rewrite,[status(thm)],[])).
% 14.08/9.27 tff(3326,plain,
% 14.08/9.27 (((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v96(constB12)) | (~v1(constB12)))))) <=> ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12))))))),
% 14.08/9.27 inference(rewrite,[status(thm)],[])).
% 14.08/9.27 tff(3327,plain,
% 14.08/9.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v96(constB12)) | (~v1(constB12))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12)))))))),
% 14.08/9.27 inference(monotonicity,[status(thm)],[3326])).
% 14.08/9.27 tff(3328,plain,
% 14.08/9.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v96(constB12)) | (~v1(constB12))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12))))))),
% 14.08/9.27 inference(transitivity,[status(thm)],[3327, 3325])).
% 14.08/9.27 tff(3329,plain,
% 14.08/9.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v96(constB12)) | (~v1(constB12))))))),
% 14.08/9.27 inference(quant_inst,[status(thm)],[])).
% 14.08/9.27 tff(3330,plain,
% 14.08/9.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12)))))),
% 14.08/9.27 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 14.08/9.27 tff(3331,plain,
% 14.08/9.27 (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12))))),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3330, 1888, 790])).
% 14.08/9.27 tff(3332,plain,
% 14.08/9.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB11, constB12)) | ((~v96(constB12)) <=> v98(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB11, constB12)) | ((~v96(constB12)) <=> v98(constB12)))),
% 14.08/9.27 inference(rewrite,[status(thm)],[])).
% 14.08/9.27 tff(3333,plain,
% 14.08/9.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB11, constB12)) | ((~v96(constB12)) <=> v98(constB12)))),
% 14.08/9.27 inference(quant_inst,[status(thm)],[])).
% 14.08/9.27 tff(3334,plain,
% 14.08/9.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB11, constB12)) | ((~v96(constB12)) <=> v98(constB12))),
% 14.08/9.27 inference(modus_ponens,[status(thm)],[3333, 3332])).
% 14.08/9.27 tff(3335,plain,
% 14.08/9.27 ((~v96(constB12)) <=> v98(constB12)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3334, 1888, 2332])).
% 14.08/9.27 tff(3336,plain,
% 14.08/9.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v98(constB12) <=> v1(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v98(constB12) <=> v1(constB11)))),
% 14.08/9.27 inference(rewrite,[status(thm)],[])).
% 14.08/9.27 tff(3337,plain,
% 14.08/9.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v98(constB12) <=> v1(constB11)))),
% 14.08/9.27 inference(quant_inst,[status(thm)],[])).
% 14.08/9.27 tff(3338,plain,
% 14.08/9.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v98(constB12) <=> v1(constB11))),
% 14.08/9.27 inference(modus_ponens,[status(thm)],[3337, 3336])).
% 14.08/9.27 tff(3339,plain,
% 14.08/9.27 (v98(constB12) <=> v1(constB11)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3338, 1888, 2346])).
% 14.08/9.27 tff(3340,plain,
% 14.08/9.27 ((~(v98(constB12) <=> v1(constB11))) | (~v98(constB12)) | v1(constB11)),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3341,plain,
% 14.08/9.27 ((~(v98(constB12) <=> v1(constB11))) | (~v98(constB12))),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3340, 1927])).
% 14.08/9.27 tff(3342,plain,
% 14.08/9.27 (~v98(constB12)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3341, 3339])).
% 14.08/9.27 tff(3343,plain,
% 14.08/9.27 ((~((~v96(constB12)) <=> v98(constB12))) | v96(constB12) | v98(constB12)),
% 14.08/9.27 inference(tautology,[status(thm)],[])).
% 14.08/9.27 tff(3344,plain,
% 14.08/9.27 (v96(constB12)),
% 14.08/9.27 inference(unit_resolution,[status(thm)],[3343, 3342, 3335])).
% 14.08/9.27 tff(3345,plain,
% 14.08/9.27 (v1(constB12) <=> v1(constB12)),
% 14.08/9.28 inference(rewrite,[status(thm)],[])).
% 14.08/9.28 tff(3346,axiom,(v1(constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_12')).
% 14.08/9.28 tff(3347,plain,
% 14.08/9.28 (v1(constB12)),
% 14.08/9.28 inference(modus_ponens,[status(thm)],[3346, 3345])).
% 14.08/9.28 tff(3348,plain,
% 14.08/9.28 ((~((~v1(constB12)) | (~v96(constB12)))) | (~v1(constB12)) | (~v96(constB12))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3349,plain,
% 14.08/9.28 ((~((~v1(constB12)) | (~v96(constB12)))) | (~v96(constB12))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3348, 3347])).
% 14.08/9.28 tff(3350,plain,
% 14.08/9.28 (~((~v1(constB12)) | (~v96(constB12)))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3349, 3344])).
% 14.08/9.28 tff(3351,plain,
% 14.08/9.28 ((~(v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12)))))) | v95(constB12) | ((~v1(constB12)) | (~v96(constB12)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3352,plain,
% 14.08/9.28 (v95(constB12)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3351, 3350, 3331])).
% 14.08/9.28 tff(3353,plain,
% 14.08/9.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v102(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v102(constB11)))),
% 14.08/9.28 inference(rewrite,[status(thm)],[])).
% 14.08/9.28 tff(3354,plain,
% 14.08/9.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v102(constB11)))),
% 14.08/9.28 inference(quant_inst,[status(thm)],[])).
% 14.08/9.28 tff(3355,plain,
% 14.08/9.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v102(constB11))),
% 14.08/9.28 inference(modus_ponens,[status(thm)],[3354, 3353])).
% 14.08/9.28 tff(3356,plain,
% 14.08/9.28 (v104(constB12) <=> v102(constB11)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3355, 1888, 2373])).
% 14.08/9.28 tff(3357,plain,
% 14.08/9.28 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB11) <=> (v105(constB11) | v106(constB11)))),
% 14.08/9.28 inference(quant_inst,[status(thm)],[])).
% 14.08/9.28 tff(3358,plain,
% 14.08/9.28 (v102(constB11) <=> (v105(constB11) | v106(constB11))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3357, 2384])).
% 14.08/9.28 tff(3359,plain,
% 14.08/9.28 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB11) <=> (~((~v107(constB11)) | (~v120(constB11)))))),
% 14.08/9.28 inference(quant_inst,[status(thm)],[])).
% 14.08/9.28 tff(3360,plain,
% 14.08/9.28 (v106(constB11) <=> (~((~v107(constB11)) | (~v120(constB11))))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3359, 2396])).
% 14.08/9.28 tff(3361,plain,
% 14.08/9.28 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB11) <=> (v108(constB11) | v119(constB11)))),
% 14.08/9.28 inference(quant_inst,[status(thm)],[])).
% 14.08/9.28 tff(3362,plain,
% 14.08/9.28 (v107(constB11) <=> (v108(constB11) | v119(constB11))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3361, 2405])).
% 14.08/9.28 tff(3363,plain,
% 14.08/9.28 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB11) <=> (v109(constB11) | v118(constB11)))),
% 14.08/9.28 inference(quant_inst,[status(thm)],[])).
% 14.08/9.28 tff(3364,plain,
% 14.08/9.28 (v108(constB11) <=> (v109(constB11) | v118(constB11))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3363, 2414])).
% 14.08/9.28 tff(3365,plain,
% 14.08/9.28 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB11) <=> (v110(constB11) | v117(constB11)))),
% 14.08/9.28 inference(quant_inst,[status(thm)],[])).
% 14.08/9.28 tff(3366,plain,
% 14.08/9.28 (v109(constB11) <=> (v110(constB11) | v117(constB11))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3365, 2423])).
% 14.08/9.28 tff(3367,plain,
% 14.08/9.28 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB11) <=> (v111(constB11) | v116(constB11)))),
% 14.08/9.28 inference(quant_inst,[status(thm)],[])).
% 14.08/9.28 tff(3368,plain,
% 14.08/9.28 (v110(constB11) <=> (v111(constB11) | v116(constB11))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3367, 2432])).
% 14.08/9.28 tff(3369,plain,
% 14.08/9.28 ((v111(constB11) | v116(constB11)) | (~v116(constB11))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3370,plain,
% 14.08/9.28 (v111(constB11) | v116(constB11)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3369, 3296])).
% 14.08/9.28 tff(3371,plain,
% 14.08/9.28 ((~(v110(constB11) <=> (v111(constB11) | v116(constB11)))) | v110(constB11) | (~(v111(constB11) | v116(constB11)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3372,plain,
% 14.08/9.28 (v110(constB11)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3371, 3370, 3368])).
% 14.08/9.28 tff(3373,plain,
% 14.08/9.28 ((v110(constB11) | v117(constB11)) | (~v110(constB11))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3374,plain,
% 14.08/9.28 (v110(constB11) | v117(constB11)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3373, 3372])).
% 14.08/9.28 tff(3375,plain,
% 14.08/9.28 ((~(v109(constB11) <=> (v110(constB11) | v117(constB11)))) | v109(constB11) | (~(v110(constB11) | v117(constB11)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3376,plain,
% 14.08/9.28 (v109(constB11)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3375, 3374, 3366])).
% 14.08/9.28 tff(3377,plain,
% 14.08/9.28 ((v109(constB11) | v118(constB11)) | (~v109(constB11))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3378,plain,
% 14.08/9.28 (v109(constB11) | v118(constB11)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3377, 3376])).
% 14.08/9.28 tff(3379,plain,
% 14.08/9.28 ((~(v108(constB11) <=> (v109(constB11) | v118(constB11)))) | v108(constB11) | (~(v109(constB11) | v118(constB11)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3380,plain,
% 14.08/9.28 (v108(constB11)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3379, 3378, 3364])).
% 14.08/9.28 tff(3381,plain,
% 14.08/9.28 ((v108(constB11) | v119(constB11)) | (~v108(constB11))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3382,plain,
% 14.08/9.28 (v108(constB11) | v119(constB11)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3381, 3380])).
% 14.08/9.28 tff(3383,plain,
% 14.08/9.28 ((~(v107(constB11) <=> (v108(constB11) | v119(constB11)))) | v107(constB11) | (~(v108(constB11) | v119(constB11)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3384,plain,
% 14.08/9.28 (v107(constB11)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3383, 3382, 3362])).
% 14.08/9.28 tff(3385,plain,
% 14.08/9.28 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB11)) <=> v105(constB11))),
% 14.08/9.28 inference(quant_inst,[status(thm)],[])).
% 14.08/9.28 tff(3386,plain,
% 14.08/9.28 ((~v120(constB11)) <=> v105(constB11)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3385, 2484])).
% 14.08/9.28 tff(3387,plain,
% 14.08/9.28 ((~((~v120(constB11)) <=> v105(constB11))) | v120(constB11) | v105(constB11)),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3388,plain,
% 14.08/9.28 ((~((~v120(constB11)) <=> v105(constB11))) | v120(constB11)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3387, 1901])).
% 14.08/9.28 tff(3389,plain,
% 14.08/9.28 (v120(constB11)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3388, 3386])).
% 14.08/9.28 tff(3390,plain,
% 14.08/9.28 ((~((~v107(constB11)) | (~v120(constB11)))) | (~v107(constB11)) | (~v120(constB11))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3391,plain,
% 14.08/9.28 ((~((~v107(constB11)) | (~v120(constB11)))) | (~v107(constB11))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3390, 3389])).
% 14.08/9.28 tff(3392,plain,
% 14.08/9.28 (~((~v107(constB11)) | (~v120(constB11)))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3391, 3384])).
% 14.08/9.28 tff(3393,plain,
% 14.08/9.28 ((~(v106(constB11) <=> (~((~v107(constB11)) | (~v120(constB11)))))) | v106(constB11) | ((~v107(constB11)) | (~v120(constB11)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3394,plain,
% 14.08/9.28 (v106(constB11)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3393, 3392, 3360])).
% 14.08/9.28 tff(3395,plain,
% 14.08/9.28 ((v105(constB11) | v106(constB11)) | (~v106(constB11))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3396,plain,
% 14.08/9.28 (v105(constB11) | v106(constB11)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3395, 3394])).
% 14.08/9.28 tff(3397,plain,
% 14.08/9.28 ((~(v102(constB11) <=> (v105(constB11) | v106(constB11)))) | v102(constB11) | (~(v105(constB11) | v106(constB11)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3398,plain,
% 14.08/9.28 (v102(constB11)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3397, 3396, 3358])).
% 14.08/9.28 tff(3399,plain,
% 14.08/9.28 ((~(v104(constB12) <=> v102(constB11))) | v104(constB12) | (~v102(constB11))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3400,plain,
% 14.08/9.28 (v104(constB12)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3399, 3398, 3356])).
% 14.08/9.28 tff(3401,plain,
% 14.08/9.28 ((~((~v95(constB12)) | (~v104(constB12)))) | (~v95(constB12)) | (~v104(constB12))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3402,plain,
% 14.08/9.28 (~((~v95(constB12)) | (~v104(constB12)))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3401, 3400, 3352])).
% 14.08/9.28 tff(3403,plain,
% 14.08/9.28 ((~(v94(constB12) <=> (~((~v95(constB12)) | (~v104(constB12)))))) | v94(constB12) | ((~v95(constB12)) | (~v104(constB12)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3404,plain,
% 14.08/9.28 (v94(constB12)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3403, 3402, 3324])).
% 14.08/9.28 tff(3405,plain,
% 14.08/9.28 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB12)) | (~(((~v84(constB12, 2)) <=> v123(constB12, 2)) | ((~v84(constB12, 1)) <=> v123(constB12, 1)) | ((~v84(constB12, 0)) <=> v123(constB12, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB12)) | (~(((~v84(constB12, 2)) <=> v123(constB12, 2)) | ((~v84(constB12, 1)) <=> v123(constB12, 1)) | ((~v84(constB12, 0)) <=> v123(constB12, 0)))))),
% 14.08/9.28 inference(rewrite,[status(thm)],[])).
% 14.08/9.28 tff(3406,plain,
% 14.08/9.28 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB12)) | (~(((~v84(constB12, 2)) <=> v123(constB12, 2)) | ((~v84(constB12, 1)) <=> v123(constB12, 1)) | ((~v84(constB12, 0)) <=> v123(constB12, 0)))))),
% 14.08/9.28 inference(quant_inst,[status(thm)],[])).
% 14.08/9.28 tff(3407,plain,
% 14.08/9.28 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB12)) | (~(((~v84(constB12, 2)) <=> v123(constB12, 2)) | ((~v84(constB12, 1)) <=> v123(constB12, 1)) | ((~v84(constB12, 0)) <=> v123(constB12, 0))))),
% 14.08/9.28 inference(modus_ponens,[status(thm)],[3406, 3405])).
% 14.08/9.28 tff(3408,plain,
% 14.08/9.28 ((~v94(constB12)) | (~(((~v84(constB12, 2)) <=> v123(constB12, 2)) | ((~v84(constB12, 1)) <=> v123(constB12, 1)) | ((~v84(constB12, 0)) <=> v123(constB12, 0))))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3407, 2517])).
% 14.08/9.28 tff(3409,plain,
% 14.08/9.28 (~(((~v84(constB12, 2)) <=> v123(constB12, 2)) | ((~v84(constB12, 1)) <=> v123(constB12, 1)) | ((~v84(constB12, 0)) <=> v123(constB12, 0)))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3408, 3404])).
% 14.08/9.28 tff(3410,plain,
% 14.08/9.28 ((((~v84(constB12, 2)) <=> v123(constB12, 2)) | ((~v84(constB12, 1)) <=> v123(constB12, 1)) | ((~v84(constB12, 0)) <=> v123(constB12, 0))) | (~((~v84(constB12, 2)) <=> v123(constB12, 2)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3411,plain,
% 14.08/9.28 (~((~v84(constB12, 2)) <=> v123(constB12, 2))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3410, 3409])).
% 14.08/9.28 tff(3412,plain,
% 14.08/9.28 (((~v84(constB12, 2)) <=> v123(constB12, 2)) | v84(constB12, 2) | (~v123(constB12, 2))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3413,plain,
% 14.08/9.28 (v84(constB12, 2)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3412, 3411, 3320])).
% 14.08/9.28 tff(3414,plain,
% 14.08/9.28 (((~v84(constB13, 2)) <=> v84(constB12, 2)) | v84(constB13, 2) | (~v84(constB12, 2))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3415,plain,
% 14.08/9.28 (v84(constB13, 2)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3414, 3413, 1885])).
% 14.08/9.28 tff(3416,plain,
% 14.08/9.28 ((((~v84(constB13, 1)) <=> v84(constB12, 1)) | ((~v84(constB13, 2)) <=> v84(constB12, 2)) | ((~v84(constB13, 0)) <=> v84(constB12, 0))) | (~((~v84(constB13, 0)) <=> v84(constB12, 0)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3417,plain,
% 14.08/9.28 (~((~v84(constB13, 0)) <=> v84(constB12, 0))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3416, 1883])).
% 14.08/9.28 tff(3418,plain,
% 14.08/9.28 ((((~v123(constB12, 2)) <=> v121(constB11, 2)) | ((~v123(constB12, 1)) <=> v121(constB11, 1)) | ((~v123(constB12, 0)) <=> v121(constB11, 0))) | (~((~v123(constB12, 0)) <=> v121(constB11, 0)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3419,plain,
% 14.08/9.28 (~((~v123(constB12, 0)) <=> v121(constB11, 0))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3418, 1892])).
% 14.08/9.28 tff(3420,plain,
% 14.08/9.28 ((((~v121(constB11, 2)) <=> v124(constB11, 2)) | ((~v121(constB11, 0)) <=> v124(constB11, 0)) | ((~v121(constB11, 1)) <=> v124(constB11, 1))) | (~((~v121(constB11, 0)) <=> v124(constB11, 0)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3421,plain,
% 14.08/9.28 (~((~v121(constB11, 0)) <=> v124(constB11, 0))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3420, 1906])).
% 14.08/9.28 tff(3422,plain,
% 14.08/9.28 ((v124(constB11, 0) | v124(constB11, 1) | (~v124(constB11, 2))) | (~v124(constB11, 0))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3423,plain,
% 14.08/9.28 (~v124(constB11, 0)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3422, 3314])).
% 14.08/9.28 tff(3424,plain,
% 14.08/9.28 (((~v121(constB11, 0)) <=> v124(constB11, 0)) | (~v121(constB11, 0)) | v124(constB11, 0)),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3425,plain,
% 14.08/9.28 (~v121(constB11, 0)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3424, 3423, 3421])).
% 14.08/9.28 tff(3426,plain,
% 14.08/9.28 (((~v123(constB12, 0)) <=> v121(constB11, 0)) | (~v123(constB12, 0)) | v121(constB11, 0)),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3427,plain,
% 14.08/9.28 (~v123(constB12, 0)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3426, 3425, 3419])).
% 14.08/9.28 tff(3428,plain,
% 14.08/9.28 ((((~v84(constB12, 2)) <=> v123(constB12, 2)) | ((~v84(constB12, 1)) <=> v123(constB12, 1)) | ((~v84(constB12, 0)) <=> v123(constB12, 0))) | (~((~v84(constB12, 0)) <=> v123(constB12, 0)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3429,plain,
% 14.08/9.28 (~((~v84(constB12, 0)) <=> v123(constB12, 0))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3428, 3409])).
% 14.08/9.28 tff(3430,plain,
% 14.08/9.28 (((~v84(constB12, 0)) <=> v123(constB12, 0)) | (~v84(constB12, 0)) | v123(constB12, 0)),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3431,plain,
% 14.08/9.28 (~v84(constB12, 0)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3430, 3429, 3427])).
% 14.08/9.28 tff(3432,plain,
% 14.08/9.28 (((~v84(constB13, 0)) <=> v84(constB12, 0)) | (~v84(constB13, 0)) | v84(constB12, 0)),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3433,plain,
% 14.08/9.28 (~v84(constB13, 0)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3432, 3431, 3417])).
% 14.08/9.28 tff(3434,plain,
% 14.08/9.28 ((((~v84(constB13, 1)) <=> v84(constB12, 1)) | ((~v84(constB13, 2)) <=> v84(constB12, 2)) | ((~v84(constB13, 0)) <=> v84(constB12, 0))) | (~((~v84(constB13, 1)) <=> v84(constB12, 1)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3435,plain,
% 14.08/9.28 (~((~v84(constB13, 1)) <=> v84(constB12, 1))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3434, 1883])).
% 14.08/9.28 tff(3436,plain,
% 14.08/9.28 ((((~v123(constB12, 2)) <=> v121(constB11, 2)) | ((~v123(constB12, 1)) <=> v121(constB11, 1)) | ((~v123(constB12, 0)) <=> v121(constB11, 0))) | (~((~v123(constB12, 1)) <=> v121(constB11, 1)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3437,plain,
% 14.08/9.28 (~((~v123(constB12, 1)) <=> v121(constB11, 1))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3436, 1892])).
% 14.08/9.28 tff(3438,plain,
% 14.08/9.28 ((((~v121(constB11, 2)) <=> v124(constB11, 2)) | ((~v121(constB11, 0)) <=> v124(constB11, 0)) | ((~v121(constB11, 1)) <=> v124(constB11, 1))) | (~((~v121(constB11, 1)) <=> v124(constB11, 1)))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3439,plain,
% 14.08/9.28 (~((~v121(constB11, 1)) <=> v124(constB11, 1))),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3438, 1906])).
% 14.08/9.28 tff(3440,plain,
% 14.08/9.28 ((v124(constB11, 0) | v124(constB11, 1) | (~v124(constB11, 2))) | (~v124(constB11, 1))),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3441,plain,
% 14.08/9.28 (~v124(constB11, 1)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3440, 3314])).
% 14.08/9.28 tff(3442,plain,
% 14.08/9.28 (((~v121(constB11, 1)) <=> v124(constB11, 1)) | (~v121(constB11, 1)) | v124(constB11, 1)),
% 14.08/9.28 inference(tautology,[status(thm)],[])).
% 14.08/9.28 tff(3443,plain,
% 14.08/9.28 (~v121(constB11, 1)),
% 14.08/9.28 inference(unit_resolution,[status(thm)],[3442, 3441, 3439])).
% 14.08/9.29 tff(3444,plain,
% 14.08/9.29 (((~v123(constB12, 1)) <=> v121(constB11, 1)) | (~v123(constB12, 1)) | v121(constB11, 1)),
% 14.08/9.29 inference(tautology,[status(thm)],[])).
% 14.08/9.29 tff(3445,plain,
% 14.08/9.29 (~v123(constB12, 1)),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3444, 3443, 3437])).
% 14.08/9.29 tff(3446,plain,
% 14.08/9.29 ((((~v84(constB12, 2)) <=> v123(constB12, 2)) | ((~v84(constB12, 1)) <=> v123(constB12, 1)) | ((~v84(constB12, 0)) <=> v123(constB12, 0))) | (~((~v84(constB12, 1)) <=> v123(constB12, 1)))),
% 14.08/9.29 inference(tautology,[status(thm)],[])).
% 14.08/9.29 tff(3447,plain,
% 14.08/9.29 (~((~v84(constB12, 1)) <=> v123(constB12, 1))),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3446, 3409])).
% 14.08/9.29 tff(3448,plain,
% 14.08/9.29 (((~v84(constB12, 1)) <=> v123(constB12, 1)) | (~v84(constB12, 1)) | v123(constB12, 1)),
% 14.08/9.29 inference(tautology,[status(thm)],[])).
% 14.08/9.29 tff(3449,plain,
% 14.08/9.29 (~v84(constB12, 1)),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3448, 3447, 3445])).
% 14.08/9.29 tff(3450,plain,
% 14.08/9.29 (((~v84(constB13, 1)) <=> v84(constB12, 1)) | (~v84(constB13, 1)) | v84(constB12, 1)),
% 14.08/9.29 inference(tautology,[status(thm)],[])).
% 14.08/9.29 tff(3451,plain,
% 14.08/9.29 (~v84(constB13, 1)),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3450, 3449, 3435])).
% 14.08/9.29 tff(3452,plain,
% 14.08/9.29 ((~(v84(constB13, 1) | v84(constB13, 0) | (~v84(constB13, 2)))) | v84(constB13, 1) | v84(constB13, 0) | (~v84(constB13, 2))),
% 14.08/9.29 inference(tautology,[status(thm)],[])).
% 14.08/9.29 tff(3453,plain,
% 14.08/9.29 (~(v84(constB13, 1) | v84(constB13, 0) | (~v84(constB13, 2)))),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3452, 3451, 3433, 3415])).
% 14.08/9.29 tff(3454,plain,
% 14.08/9.29 ((~(v117(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 0) | (~v84(constB13, 2)))))) | v117(constB13) | (v84(constB13, 1) | v84(constB13, 0) | (~v84(constB13, 2)))),
% 14.08/9.29 inference(tautology,[status(thm)],[])).
% 14.08/9.29 tff(3455,plain,
% 14.08/9.29 (v117(constB13)),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3454, 3453, 1849])).
% 14.08/9.29 tff(3456,plain,
% 14.08/9.29 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB13)) | (~(v124(constB13, 0) | (~v124(constB13, 2)) | (~v124(constB13, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB13)) | (~(v124(constB13, 0) | (~v124(constB13, 2)) | (~v124(constB13, 1)))))),
% 14.08/9.29 inference(rewrite,[status(thm)],[])).
% 14.08/9.29 tff(3457,plain,
% 14.08/9.29 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB13)) | (~(v124(constB13, 0) | (~v124(constB13, 2)) | (~v124(constB13, 1)))))),
% 14.08/9.29 inference(quant_inst,[status(thm)],[])).
% 14.08/9.29 tff(3458,plain,
% 14.08/9.29 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB13)) | (~(v124(constB13, 0) | (~v124(constB13, 2)) | (~v124(constB13, 1))))),
% 14.08/9.29 inference(modus_ponens,[status(thm)],[3457, 3456])).
% 14.08/9.29 tff(3459,plain,
% 14.08/9.29 ((~v117(constB13)) | (~(v124(constB13, 0) | (~v124(constB13, 2)) | (~v124(constB13, 1))))),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3458, 2584])).
% 14.08/9.29 tff(3460,plain,
% 14.08/9.29 (~(v124(constB13, 0) | (~v124(constB13, 2)) | (~v124(constB13, 1)))),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3459, 3455])).
% 14.08/9.29 tff(3461,plain,
% 14.08/9.29 ((v124(constB13, 0) | (~v124(constB13, 2)) | (~v124(constB13, 1))) | (~v124(constB13, 0))),
% 14.08/9.29 inference(tautology,[status(thm)],[])).
% 14.08/9.29 tff(3462,plain,
% 14.08/9.29 (~v124(constB13, 0)),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3461, 3460])).
% 14.08/9.29 tff(3463,plain,
% 14.08/9.29 (((~v121(constB13, 0)) <=> v124(constB13, 0)) | (~v121(constB13, 0)) | v124(constB13, 0)),
% 14.08/9.29 inference(tautology,[status(thm)],[])).
% 14.08/9.29 tff(3464,plain,
% 14.08/9.29 (~v121(constB13, 0)),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3463, 3462, 1842])).
% 14.08/9.29 tff(3465,plain,
% 14.08/9.29 (((~v123(constB14, 0)) <=> v121(constB13, 0)) | (~v123(constB14, 0)) | v121(constB13, 0)),
% 14.08/9.29 inference(tautology,[status(thm)],[])).
% 14.08/9.29 tff(3466,plain,
% 14.08/9.29 (~v123(constB14, 0)),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3465, 3464, 1828])).
% 14.08/9.29 tff(3467,plain,
% 14.08/9.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB13, constB14)) | (v94(constB14) <=> (~((~v95(constB14)) | (~v104(constB14))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB13, constB14)) | (v94(constB14) <=> (~((~v95(constB14)) | (~v104(constB14))))))),
% 14.08/9.29 inference(rewrite,[status(thm)],[])).
% 14.08/9.29 tff(3468,plain,
% 14.08/9.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB13, constB14)) | (v94(constB14) <=> (~((~v95(constB14)) | (~v104(constB14))))))),
% 14.08/9.29 inference(quant_inst,[status(thm)],[])).
% 14.08/9.29 tff(3469,plain,
% 14.08/9.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB13, constB14)) | (v94(constB14) <=> (~((~v95(constB14)) | (~v104(constB14)))))),
% 14.08/9.29 inference(modus_ponens,[status(thm)],[3468, 3467])).
% 14.08/9.29 tff(3470,plain,
% 14.08/9.29 (v94(constB14) <=> (~((~v95(constB14)) | (~v104(constB14))))),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3469, 1822, 770])).
% 14.08/9.29 tff(3471,plain,
% 14.08/9.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14))))))),
% 14.08/9.29 inference(rewrite,[status(thm)],[])).
% 14.08/9.29 tff(3472,plain,
% 14.08/9.29 (((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v96(constB14)) | (~v1(constB14)))))) <=> ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14))))))),
% 14.08/9.29 inference(rewrite,[status(thm)],[])).
% 14.08/9.29 tff(3473,plain,
% 14.08/9.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v96(constB14)) | (~v1(constB14))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14)))))))),
% 14.08/9.29 inference(monotonicity,[status(thm)],[3472])).
% 14.08/9.29 tff(3474,plain,
% 14.08/9.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v96(constB14)) | (~v1(constB14))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14))))))),
% 14.08/9.29 inference(transitivity,[status(thm)],[3473, 3471])).
% 14.08/9.29 tff(3475,plain,
% 14.08/9.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v96(constB14)) | (~v1(constB14))))))),
% 14.08/9.29 inference(quant_inst,[status(thm)],[])).
% 14.08/9.29 tff(3476,plain,
% 14.08/9.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14)))))),
% 14.08/9.29 inference(modus_ponens,[status(thm)],[3475, 3474])).
% 14.08/9.29 tff(3477,plain,
% 14.08/9.29 (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14))))),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3476, 1822, 790])).
% 14.08/9.29 tff(3478,plain,
% 14.08/9.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB13, constB14)) | ((~v96(constB14)) <=> v98(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB13, constB14)) | ((~v96(constB14)) <=> v98(constB14)))),
% 14.08/9.29 inference(rewrite,[status(thm)],[])).
% 14.08/9.29 tff(3479,plain,
% 14.08/9.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB13, constB14)) | ((~v96(constB14)) <=> v98(constB14)))),
% 14.08/9.29 inference(quant_inst,[status(thm)],[])).
% 14.08/9.29 tff(3480,plain,
% 14.08/9.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB13, constB14)) | ((~v96(constB14)) <=> v98(constB14))),
% 14.08/9.29 inference(modus_ponens,[status(thm)],[3479, 3478])).
% 14.08/9.29 tff(3481,plain,
% 14.08/9.29 ((~v96(constB14)) <=> v98(constB14)),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3480, 1822, 2332])).
% 14.08/9.29 tff(3482,plain,
% 14.08/9.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v98(constB14) <=> v1(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v98(constB14) <=> v1(constB13)))),
% 14.08/9.29 inference(rewrite,[status(thm)],[])).
% 14.08/9.29 tff(3483,plain,
% 14.08/9.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v98(constB14) <=> v1(constB13)))),
% 14.08/9.29 inference(quant_inst,[status(thm)],[])).
% 14.08/9.29 tff(3484,plain,
% 14.08/9.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v98(constB14) <=> v1(constB13))),
% 14.08/9.29 inference(modus_ponens,[status(thm)],[3483, 3482])).
% 14.08/9.29 tff(3485,plain,
% 14.08/9.29 (v98(constB14) <=> v1(constB13)),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3484, 1822, 2346])).
% 14.08/9.29 tff(3486,plain,
% 14.08/9.29 ((~(v98(constB14) <=> v1(constB13))) | (~v98(constB14)) | v1(constB13)),
% 14.08/9.29 inference(tautology,[status(thm)],[])).
% 14.08/9.29 tff(3487,plain,
% 14.08/9.29 ((~(v98(constB14) <=> v1(constB13))) | (~v98(constB14))),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3486, 1866])).
% 14.08/9.29 tff(3488,plain,
% 14.08/9.29 (~v98(constB14)),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3487, 3485])).
% 14.08/9.29 tff(3489,plain,
% 14.08/9.29 ((~((~v96(constB14)) <=> v98(constB14))) | v96(constB14) | v98(constB14)),
% 14.08/9.29 inference(tautology,[status(thm)],[])).
% 14.08/9.29 tff(3490,plain,
% 14.08/9.29 (v96(constB14)),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3489, 3488, 3481])).
% 14.08/9.29 tff(3491,plain,
% 14.08/9.29 (v1(constB14) <=> v1(constB14)),
% 14.08/9.29 inference(rewrite,[status(thm)],[])).
% 14.08/9.29 tff(3492,axiom,(v1(constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_14')).
% 14.08/9.29 tff(3493,plain,
% 14.08/9.29 (v1(constB14)),
% 14.08/9.29 inference(modus_ponens,[status(thm)],[3492, 3491])).
% 14.08/9.29 tff(3494,plain,
% 14.08/9.29 ((~((~v1(constB14)) | (~v96(constB14)))) | (~v1(constB14)) | (~v96(constB14))),
% 14.08/9.29 inference(tautology,[status(thm)],[])).
% 14.08/9.29 tff(3495,plain,
% 14.08/9.29 ((~((~v1(constB14)) | (~v96(constB14)))) | (~v96(constB14))),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3494, 3493])).
% 14.08/9.29 tff(3496,plain,
% 14.08/9.29 (~((~v1(constB14)) | (~v96(constB14)))),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3495, 3490])).
% 14.08/9.29 tff(3497,plain,
% 14.08/9.29 ((~(v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14)))))) | v95(constB14) | ((~v1(constB14)) | (~v96(constB14)))),
% 14.08/9.29 inference(tautology,[status(thm)],[])).
% 14.08/9.29 tff(3498,plain,
% 14.08/9.29 (v95(constB14)),
% 14.08/9.29 inference(unit_resolution,[status(thm)],[3497, 3496, 3477])).
% 14.08/9.29 tff(3499,plain,
% 14.08/9.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v102(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v102(constB13)))),
% 14.16/9.29 inference(rewrite,[status(thm)],[])).
% 14.16/9.29 tff(3500,plain,
% 14.16/9.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v102(constB13)))),
% 14.16/9.29 inference(quant_inst,[status(thm)],[])).
% 14.16/9.29 tff(3501,plain,
% 14.16/9.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v102(constB13))),
% 14.16/9.29 inference(modus_ponens,[status(thm)],[3500, 3499])).
% 14.16/9.29 tff(3502,plain,
% 14.16/9.29 (v104(constB14) <=> v102(constB13)),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3501, 1822, 2373])).
% 14.16/9.29 tff(3503,plain,
% 14.16/9.29 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB13) <=> (v105(constB13) | v106(constB13)))),
% 14.16/9.29 inference(quant_inst,[status(thm)],[])).
% 14.16/9.29 tff(3504,plain,
% 14.16/9.29 (v102(constB13) <=> (v105(constB13) | v106(constB13))),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3503, 2384])).
% 14.16/9.29 tff(3505,plain,
% 14.16/9.29 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB13) <=> (~((~v107(constB13)) | (~v120(constB13)))))),
% 14.16/9.29 inference(quant_inst,[status(thm)],[])).
% 14.16/9.29 tff(3506,plain,
% 14.16/9.29 (v106(constB13) <=> (~((~v107(constB13)) | (~v120(constB13))))),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3505, 2396])).
% 14.16/9.29 tff(3507,plain,
% 14.16/9.29 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB13) <=> (v108(constB13) | v119(constB13)))),
% 14.16/9.29 inference(quant_inst,[status(thm)],[])).
% 14.16/9.29 tff(3508,plain,
% 14.16/9.29 (v107(constB13) <=> (v108(constB13) | v119(constB13))),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3507, 2405])).
% 14.16/9.29 tff(3509,plain,
% 14.16/9.29 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB13) <=> (v109(constB13) | v118(constB13)))),
% 14.16/9.29 inference(quant_inst,[status(thm)],[])).
% 14.16/9.29 tff(3510,plain,
% 14.16/9.29 (v108(constB13) <=> (v109(constB13) | v118(constB13))),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3509, 2414])).
% 14.16/9.29 tff(3511,plain,
% 14.16/9.29 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB13) <=> (v110(constB13) | v117(constB13)))),
% 14.16/9.29 inference(quant_inst,[status(thm)],[])).
% 14.16/9.29 tff(3512,plain,
% 14.16/9.29 (v109(constB13) <=> (v110(constB13) | v117(constB13))),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3511, 2423])).
% 14.16/9.29 tff(3513,plain,
% 14.16/9.29 ((v110(constB13) | v117(constB13)) | (~v117(constB13))),
% 14.16/9.29 inference(tautology,[status(thm)],[])).
% 14.16/9.29 tff(3514,plain,
% 14.16/9.29 (v110(constB13) | v117(constB13)),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3513, 3455])).
% 14.16/9.29 tff(3515,plain,
% 14.16/9.29 ((~(v109(constB13) <=> (v110(constB13) | v117(constB13)))) | v109(constB13) | (~(v110(constB13) | v117(constB13)))),
% 14.16/9.29 inference(tautology,[status(thm)],[])).
% 14.16/9.29 tff(3516,plain,
% 14.16/9.29 (v109(constB13)),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3515, 3514, 3512])).
% 14.16/9.29 tff(3517,plain,
% 14.16/9.29 ((v109(constB13) | v118(constB13)) | (~v109(constB13))),
% 14.16/9.29 inference(tautology,[status(thm)],[])).
% 14.16/9.29 tff(3518,plain,
% 14.16/9.29 (v109(constB13) | v118(constB13)),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3517, 3516])).
% 14.16/9.29 tff(3519,plain,
% 14.16/9.29 ((~(v108(constB13) <=> (v109(constB13) | v118(constB13)))) | v108(constB13) | (~(v109(constB13) | v118(constB13)))),
% 14.16/9.29 inference(tautology,[status(thm)],[])).
% 14.16/9.29 tff(3520,plain,
% 14.16/9.29 (v108(constB13)),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3519, 3518, 3510])).
% 14.16/9.29 tff(3521,plain,
% 14.16/9.29 ((v108(constB13) | v119(constB13)) | (~v108(constB13))),
% 14.16/9.29 inference(tautology,[status(thm)],[])).
% 14.16/9.29 tff(3522,plain,
% 14.16/9.29 (v108(constB13) | v119(constB13)),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3521, 3520])).
% 14.16/9.29 tff(3523,plain,
% 14.16/9.29 ((~(v107(constB13) <=> (v108(constB13) | v119(constB13)))) | v107(constB13) | (~(v108(constB13) | v119(constB13)))),
% 14.16/9.29 inference(tautology,[status(thm)],[])).
% 14.16/9.29 tff(3524,plain,
% 14.16/9.29 (v107(constB13)),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3523, 3522, 3508])).
% 14.16/9.29 tff(3525,plain,
% 14.16/9.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB13)) <=> v105(constB13))),
% 14.16/9.29 inference(quant_inst,[status(thm)],[])).
% 14.16/9.29 tff(3526,plain,
% 14.16/9.29 ((~v120(constB13)) <=> v105(constB13)),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3525, 2484])).
% 14.16/9.29 tff(3527,plain,
% 14.16/9.29 ((~((~v120(constB13)) <=> v105(constB13))) | v120(constB13) | v105(constB13)),
% 14.16/9.29 inference(tautology,[status(thm)],[])).
% 14.16/9.29 tff(3528,plain,
% 14.16/9.29 ((~((~v120(constB13)) <=> v105(constB13))) | v120(constB13)),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3527, 1835])).
% 14.16/9.29 tff(3529,plain,
% 14.16/9.29 (v120(constB13)),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3528, 3526])).
% 14.16/9.29 tff(3530,plain,
% 14.16/9.29 ((~((~v107(constB13)) | (~v120(constB13)))) | (~v107(constB13)) | (~v120(constB13))),
% 14.16/9.29 inference(tautology,[status(thm)],[])).
% 14.16/9.29 tff(3531,plain,
% 14.16/9.29 ((~((~v107(constB13)) | (~v120(constB13)))) | (~v107(constB13))),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3530, 3529])).
% 14.16/9.29 tff(3532,plain,
% 14.16/9.29 (~((~v107(constB13)) | (~v120(constB13)))),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3531, 3524])).
% 14.16/9.29 tff(3533,plain,
% 14.16/9.29 ((~(v106(constB13) <=> (~((~v107(constB13)) | (~v120(constB13)))))) | v106(constB13) | ((~v107(constB13)) | (~v120(constB13)))),
% 14.16/9.29 inference(tautology,[status(thm)],[])).
% 14.16/9.29 tff(3534,plain,
% 14.16/9.29 (v106(constB13)),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3533, 3532, 3506])).
% 14.16/9.29 tff(3535,plain,
% 14.16/9.29 ((v105(constB13) | v106(constB13)) | (~v106(constB13))),
% 14.16/9.29 inference(tautology,[status(thm)],[])).
% 14.16/9.29 tff(3536,plain,
% 14.16/9.29 (v105(constB13) | v106(constB13)),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3535, 3534])).
% 14.16/9.29 tff(3537,plain,
% 14.16/9.29 ((~(v102(constB13) <=> (v105(constB13) | v106(constB13)))) | v102(constB13) | (~(v105(constB13) | v106(constB13)))),
% 14.16/9.29 inference(tautology,[status(thm)],[])).
% 14.16/9.29 tff(3538,plain,
% 14.16/9.29 (v102(constB13)),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3537, 3536, 3504])).
% 14.16/9.29 tff(3539,plain,
% 14.16/9.29 ((~(v104(constB14) <=> v102(constB13))) | v104(constB14) | (~v102(constB13))),
% 14.16/9.29 inference(tautology,[status(thm)],[])).
% 14.16/9.29 tff(3540,plain,
% 14.16/9.29 (v104(constB14)),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3539, 3538, 3502])).
% 14.16/9.29 tff(3541,plain,
% 14.16/9.29 ((~((~v95(constB14)) | (~v104(constB14)))) | (~v95(constB14)) | (~v104(constB14))),
% 14.16/9.29 inference(tautology,[status(thm)],[])).
% 14.16/9.29 tff(3542,plain,
% 14.16/9.29 (~((~v95(constB14)) | (~v104(constB14)))),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3541, 3540, 3498])).
% 14.16/9.29 tff(3543,plain,
% 14.16/9.29 ((~(v94(constB14) <=> (~((~v95(constB14)) | (~v104(constB14)))))) | v94(constB14) | ((~v95(constB14)) | (~v104(constB14)))),
% 14.16/9.29 inference(tautology,[status(thm)],[])).
% 14.16/9.29 tff(3544,plain,
% 14.16/9.29 (v94(constB14)),
% 14.16/9.29 inference(unit_resolution,[status(thm)],[3543, 3542, 3470])).
% 14.16/9.29 tff(3545,plain,
% 14.16/9.29 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB14)) | (~(((~v84(constB14, 0)) <=> v123(constB14, 0)) | ((~v84(constB14, 2)) <=> v123(constB14, 2)) | ((~v84(constB14, 1)) <=> v123(constB14, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB14)) | (~(((~v84(constB14, 0)) <=> v123(constB14, 0)) | ((~v84(constB14, 2)) <=> v123(constB14, 2)) | ((~v84(constB14, 1)) <=> v123(constB14, 1)))))),
% 14.16/9.29 inference(rewrite,[status(thm)],[])).
% 14.16/9.29 tff(3546,plain,
% 14.16/9.29 (((~v94(constB14)) | (~(((~v84(constB14, 2)) <=> v123(constB14, 2)) | ((~v84(constB14, 1)) <=> v123(constB14, 1)) | ((~v84(constB14, 0)) <=> v123(constB14, 0))))) <=> ((~v94(constB14)) | (~(((~v84(constB14, 0)) <=> v123(constB14, 0)) | ((~v84(constB14, 2)) <=> v123(constB14, 2)) | ((~v84(constB14, 1)) <=> v123(constB14, 1)))))),
% 14.16/9.29 inference(rewrite,[status(thm)],[])).
% 14.16/9.29 tff(3547,plain,
% 14.16/9.29 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB14)) | (~(((~v84(constB14, 2)) <=> v123(constB14, 2)) | ((~v84(constB14, 1)) <=> v123(constB14, 1)) | ((~v84(constB14, 0)) <=> v123(constB14, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB14)) | (~(((~v84(constB14, 0)) <=> v123(constB14, 0)) | ((~v84(constB14, 2)) <=> v123(constB14, 2)) | ((~v84(constB14, 1)) <=> v123(constB14, 1))))))),
% 14.16/9.30 inference(monotonicity,[status(thm)],[3546])).
% 14.16/9.30 tff(3548,plain,
% 14.16/9.30 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB14)) | (~(((~v84(constB14, 2)) <=> v123(constB14, 2)) | ((~v84(constB14, 1)) <=> v123(constB14, 1)) | ((~v84(constB14, 0)) <=> v123(constB14, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB14)) | (~(((~v84(constB14, 0)) <=> v123(constB14, 0)) | ((~v84(constB14, 2)) <=> v123(constB14, 2)) | ((~v84(constB14, 1)) <=> v123(constB14, 1)))))),
% 14.16/9.30 inference(transitivity,[status(thm)],[3547, 3545])).
% 14.16/9.30 tff(3549,plain,
% 14.16/9.30 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB14)) | (~(((~v84(constB14, 2)) <=> v123(constB14, 2)) | ((~v84(constB14, 1)) <=> v123(constB14, 1)) | ((~v84(constB14, 0)) <=> v123(constB14, 0)))))),
% 14.16/9.30 inference(quant_inst,[status(thm)],[])).
% 14.16/9.30 tff(3550,plain,
% 14.16/9.30 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB14)) | (~(((~v84(constB14, 0)) <=> v123(constB14, 0)) | ((~v84(constB14, 2)) <=> v123(constB14, 2)) | ((~v84(constB14, 1)) <=> v123(constB14, 1))))),
% 14.16/9.30 inference(modus_ponens,[status(thm)],[3549, 3548])).
% 14.16/9.30 tff(3551,plain,
% 14.16/9.30 ((~v94(constB14)) | (~(((~v84(constB14, 0)) <=> v123(constB14, 0)) | ((~v84(constB14, 2)) <=> v123(constB14, 2)) | ((~v84(constB14, 1)) <=> v123(constB14, 1))))),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3550, 2517])).
% 14.16/9.30 tff(3552,plain,
% 14.16/9.30 (~(((~v84(constB14, 0)) <=> v123(constB14, 0)) | ((~v84(constB14, 2)) <=> v123(constB14, 2)) | ((~v84(constB14, 1)) <=> v123(constB14, 1)))),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3551, 3544])).
% 14.16/9.30 tff(3553,plain,
% 14.16/9.30 ((((~v84(constB14, 0)) <=> v123(constB14, 0)) | ((~v84(constB14, 2)) <=> v123(constB14, 2)) | ((~v84(constB14, 1)) <=> v123(constB14, 1))) | (~((~v84(constB14, 0)) <=> v123(constB14, 0)))),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3554,plain,
% 14.16/9.30 (~((~v84(constB14, 0)) <=> v123(constB14, 0))),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3553, 3552])).
% 14.16/9.30 tff(3555,plain,
% 14.16/9.30 (((~v84(constB14, 0)) <=> v123(constB14, 0)) | (~v84(constB14, 0)) | v123(constB14, 0)),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3556,plain,
% 14.16/9.30 (~v84(constB14, 0)),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3555, 3554, 3466])).
% 14.16/9.30 tff(3557,plain,
% 14.16/9.30 (((~v84(constB15, 0)) <=> v84(constB14, 0)) | (~v84(constB15, 0)) | v84(constB14, 0)),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3558,plain,
% 14.16/9.30 (~v84(constB15, 0)),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3557, 3556, 1819])).
% 14.16/9.30 tff(3559,plain,
% 14.16/9.30 ((v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))) | v84(constB15, 0)),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3560,plain,
% 14.16/9.30 (v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3559, 3558])).
% 14.16/9.30 tff(3561,plain,
% 14.16/9.30 ((~(v114(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0)))))) | (~v114(constB15)) | (~(v84(constB15, 1) | v84(constB15, 2) | (~v84(constB15, 0))))),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3562,plain,
% 14.16/9.30 (~v114(constB15)),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3561, 3560, 1783])).
% 14.16/9.30 tff(3563,plain,
% 14.16/9.30 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 2)) | (~v84(constB15, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 2)) | (~v84(constB15, 0))))))),
% 14.16/9.30 inference(rewrite,[status(thm)],[])).
% 14.16/9.30 tff(3564,plain,
% 14.16/9.30 ((v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2))))) <=> (v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 2)) | (~v84(constB15, 0)))))),
% 14.16/9.30 inference(rewrite,[status(thm)],[])).
% 14.16/9.30 tff(3565,plain,
% 14.16/9.30 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 2)) | (~v84(constB15, 0))))))),
% 14.16/9.30 inference(monotonicity,[status(thm)],[3564])).
% 14.16/9.30 tff(3566,plain,
% 14.16/9.30 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 2)) | (~v84(constB15, 0))))))),
% 14.16/9.30 inference(transitivity,[status(thm)],[3565, 3563])).
% 14.16/9.30 tff(3567,plain,
% 14.16/9.30 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 0)) | (~v84(constB15, 2)))))),
% 14.16/9.30 inference(quant_inst,[status(thm)],[])).
% 14.16/9.30 tff(3568,plain,
% 14.16/9.30 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 2)) | (~v84(constB15, 0)))))),
% 14.16/9.30 inference(modus_ponens,[status(thm)],[3567, 3566])).
% 14.16/9.30 tff(3569,plain,
% 14.16/9.30 (v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 2)) | (~v84(constB15, 0))))),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3568, 2701])).
% 14.16/9.30 tff(3570,plain,
% 14.16/9.30 ((v84(constB15, 1) | (~v84(constB15, 2)) | (~v84(constB15, 0))) | v84(constB15, 0)),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3571,plain,
% 14.16/9.30 (v84(constB15, 1) | (~v84(constB15, 2)) | (~v84(constB15, 0))),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3570, 3558])).
% 14.16/9.30 tff(3572,plain,
% 14.16/9.30 ((~(v118(constB15) <=> (~(v84(constB15, 1) | (~v84(constB15, 2)) | (~v84(constB15, 0)))))) | (~v118(constB15)) | (~(v84(constB15, 1) | (~v84(constB15, 2)) | (~v84(constB15, 0))))),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3573,plain,
% 14.16/9.30 (~v118(constB15)),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3572, 3571, 3569])).
% 14.16/9.30 tff(3574,plain,
% 14.16/9.30 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))))))),
% 14.16/9.30 inference(rewrite,[status(thm)],[])).
% 14.16/9.30 tff(3575,plain,
% 14.16/9.30 ((v117(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | (~v84(constB15, 2))))) <=> (v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))))),
% 14.16/9.30 inference(rewrite,[status(thm)],[])).
% 14.16/9.30 tff(3576,plain,
% 14.16/9.30 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | (~v84(constB15, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))))))),
% 14.16/9.30 inference(monotonicity,[status(thm)],[3575])).
% 14.16/9.30 tff(3577,plain,
% 14.16/9.30 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | (~v84(constB15, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))))))),
% 14.16/9.30 inference(transitivity,[status(thm)],[3576, 3574])).
% 14.16/9.30 tff(3578,plain,
% 14.16/9.30 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | (~v84(constB15, 2)))))),
% 14.16/9.30 inference(quant_inst,[status(thm)],[])).
% 14.16/9.30 tff(3579,plain,
% 14.16/9.30 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))))),
% 14.16/9.30 inference(modus_ponens,[status(thm)],[3578, 3577])).
% 14.16/9.30 tff(3580,plain,
% 14.16/9.30 (v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))))),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3579, 1199])).
% 14.16/9.30 tff(3581,plain,
% 14.16/9.30 ((((~v84(constB15, 1)) <=> v84(constB14, 1)) | ((~v84(constB15, 2)) <=> v84(constB14, 2)) | ((~v84(constB15, 0)) <=> v84(constB14, 0))) | (~((~v84(constB15, 1)) <=> v84(constB14, 1)))),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3582,plain,
% 14.16/9.30 (~((~v84(constB15, 1)) <=> v84(constB14, 1))),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3581, 1817])).
% 14.16/9.30 tff(3583,plain,
% 14.16/9.30 ((((~v123(constB14, 2)) <=> v121(constB13, 2)) | ((~v123(constB14, 1)) <=> v121(constB13, 1)) | ((~v123(constB14, 0)) <=> v121(constB13, 0))) | (~((~v123(constB14, 1)) <=> v121(constB13, 1)))),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3584,plain,
% 14.16/9.30 (~((~v123(constB14, 1)) <=> v121(constB13, 1))),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3583, 1826])).
% 14.16/9.30 tff(3585,plain,
% 14.16/9.30 ((((~v121(constB13, 2)) <=> v124(constB13, 2)) | ((~v121(constB13, 0)) <=> v124(constB13, 0)) | ((~v121(constB13, 1)) <=> v124(constB13, 1))) | (~((~v121(constB13, 1)) <=> v124(constB13, 1)))),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3586,plain,
% 14.16/9.30 (~((~v121(constB13, 1)) <=> v124(constB13, 1))),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3585, 1840])).
% 14.16/9.30 tff(3587,plain,
% 14.16/9.30 ((v124(constB13, 0) | (~v124(constB13, 2)) | (~v124(constB13, 1))) | v124(constB13, 1)),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3588,plain,
% 14.16/9.30 (v124(constB13, 1)),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3587, 3460])).
% 14.16/9.30 tff(3589,plain,
% 14.16/9.30 (((~v121(constB13, 1)) <=> v124(constB13, 1)) | v121(constB13, 1) | (~v124(constB13, 1))),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3590,plain,
% 14.16/9.30 (v121(constB13, 1)),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3589, 3588, 3586])).
% 14.16/9.30 tff(3591,plain,
% 14.16/9.30 (((~v123(constB14, 1)) <=> v121(constB13, 1)) | v123(constB14, 1) | (~v121(constB13, 1))),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3592,plain,
% 14.16/9.30 (v123(constB14, 1)),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3591, 3590, 3584])).
% 14.16/9.30 tff(3593,plain,
% 14.16/9.30 ((((~v84(constB14, 0)) <=> v123(constB14, 0)) | ((~v84(constB14, 2)) <=> v123(constB14, 2)) | ((~v84(constB14, 1)) <=> v123(constB14, 1))) | (~((~v84(constB14, 1)) <=> v123(constB14, 1)))),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3594,plain,
% 14.16/9.30 (~((~v84(constB14, 1)) <=> v123(constB14, 1))),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3593, 3552])).
% 14.16/9.30 tff(3595,plain,
% 14.16/9.30 (((~v84(constB14, 1)) <=> v123(constB14, 1)) | v84(constB14, 1) | (~v123(constB14, 1))),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3596,plain,
% 14.16/9.30 (v84(constB14, 1)),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3595, 3594, 3592])).
% 14.16/9.30 tff(3597,plain,
% 14.16/9.30 (((~v84(constB15, 1)) <=> v84(constB14, 1)) | v84(constB15, 1) | (~v84(constB14, 1))),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3598,plain,
% 14.16/9.30 (v84(constB15, 1)),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3597, 3596, 3582])).
% 14.16/9.30 tff(3599,plain,
% 14.16/9.30 ((v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))) | (~v84(constB15, 1))),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3600,plain,
% 14.16/9.30 (v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3599, 3598])).
% 14.16/9.30 tff(3601,plain,
% 14.16/9.30 ((~(v117(constB15) <=> (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2)))))) | (~v117(constB15)) | (~(v84(constB15, 1) | v84(constB15, 0) | (~v84(constB15, 2))))),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3602,plain,
% 14.16/9.30 (~v117(constB15)),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3601, 3600, 3580])).
% 14.16/9.30 tff(3603,plain,
% 14.16/9.30 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 1)) | (~v84(constB15, 0)))))),
% 14.16/9.30 inference(quant_inst,[status(thm)],[])).
% 14.16/9.30 tff(3604,plain,
% 14.16/9.30 (v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 1)) | (~v84(constB15, 0))))),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3603, 911])).
% 14.16/9.30 tff(3605,plain,
% 14.16/9.30 ((v84(constB15, 2) | (~v84(constB15, 1)) | (~v84(constB15, 0))) | v84(constB15, 0)),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3606,plain,
% 14.16/9.30 (v84(constB15, 2) | (~v84(constB15, 1)) | (~v84(constB15, 0))),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3605, 3558])).
% 14.16/9.30 tff(3607,plain,
% 14.16/9.30 ((~(v116(constB15) <=> (~(v84(constB15, 2) | (~v84(constB15, 1)) | (~v84(constB15, 0)))))) | (~v116(constB15)) | (~(v84(constB15, 2) | (~v84(constB15, 1)) | (~v84(constB15, 0))))),
% 14.16/9.30 inference(tautology,[status(thm)],[])).
% 14.16/9.30 tff(3608,plain,
% 14.16/9.30 (~v116(constB15)),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3607, 3606, 3604])).
% 14.16/9.30 tff(3609,plain,
% 14.16/9.30 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))))))),
% 14.16/9.30 inference(rewrite,[status(thm)],[])).
% 14.16/9.30 tff(3610,plain,
% 14.16/9.30 ((v115(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 2) | (~v84(constB15, 1))))) <=> (v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))))),
% 14.16/9.30 inference(rewrite,[status(thm)],[])).
% 14.16/9.30 tff(3611,plain,
% 14.16/9.30 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 2) | (~v84(constB15, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))))))),
% 14.16/9.30 inference(monotonicity,[status(thm)],[3610])).
% 14.16/9.30 tff(3612,plain,
% 14.16/9.30 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 2) | (~v84(constB15, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))))))),
% 14.16/9.30 inference(transitivity,[status(thm)],[3611, 3609])).
% 14.16/9.30 tff(3613,plain,
% 14.16/9.30 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 2) | (~v84(constB15, 1)))))),
% 14.16/9.30 inference(quant_inst,[status(thm)],[])).
% 14.16/9.30 tff(3614,plain,
% 14.16/9.30 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))))),
% 14.16/9.30 inference(modus_ponens,[status(thm)],[3613, 3612])).
% 14.16/9.30 tff(3615,plain,
% 14.16/9.30 (v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))))),
% 14.16/9.30 inference(unit_resolution,[status(thm)],[3614, 985])).
% 14.16/9.31 tff(3616,plain,
% 14.16/9.31 ((((~v84(constB15, 1)) <=> v84(constB14, 1)) | ((~v84(constB15, 2)) <=> v84(constB14, 2)) | ((~v84(constB15, 0)) <=> v84(constB14, 0))) | (~((~v84(constB15, 2)) <=> v84(constB14, 2)))),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3617,plain,
% 14.16/9.31 (~((~v84(constB15, 2)) <=> v84(constB14, 2))),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3616, 1817])).
% 14.16/9.31 tff(3618,plain,
% 14.16/9.31 ((((~v123(constB14, 2)) <=> v121(constB13, 2)) | ((~v123(constB14, 1)) <=> v121(constB13, 1)) | ((~v123(constB14, 0)) <=> v121(constB13, 0))) | (~((~v123(constB14, 2)) <=> v121(constB13, 2)))),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3619,plain,
% 14.16/9.31 (~((~v123(constB14, 2)) <=> v121(constB13, 2))),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3618, 1826])).
% 14.16/9.31 tff(3620,plain,
% 14.16/9.31 ((((~v121(constB13, 2)) <=> v124(constB13, 2)) | ((~v121(constB13, 0)) <=> v124(constB13, 0)) | ((~v121(constB13, 1)) <=> v124(constB13, 1))) | (~((~v121(constB13, 2)) <=> v124(constB13, 2)))),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3621,plain,
% 14.16/9.31 (~((~v121(constB13, 2)) <=> v124(constB13, 2))),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3620, 1840])).
% 14.16/9.31 tff(3622,plain,
% 14.16/9.31 ((v124(constB13, 0) | (~v124(constB13, 2)) | (~v124(constB13, 1))) | v124(constB13, 2)),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3623,plain,
% 14.16/9.31 (v124(constB13, 2)),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3622, 3460])).
% 14.16/9.31 tff(3624,plain,
% 14.16/9.31 (((~v121(constB13, 2)) <=> v124(constB13, 2)) | v121(constB13, 2) | (~v124(constB13, 2))),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3625,plain,
% 14.16/9.31 (v121(constB13, 2)),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3624, 3623, 3621])).
% 14.16/9.31 tff(3626,plain,
% 14.16/9.31 (((~v123(constB14, 2)) <=> v121(constB13, 2)) | v123(constB14, 2) | (~v121(constB13, 2))),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3627,plain,
% 14.16/9.31 (v123(constB14, 2)),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3626, 3625, 3619])).
% 14.16/9.31 tff(3628,plain,
% 14.16/9.31 ((((~v84(constB14, 0)) <=> v123(constB14, 0)) | ((~v84(constB14, 2)) <=> v123(constB14, 2)) | ((~v84(constB14, 1)) <=> v123(constB14, 1))) | (~((~v84(constB14, 2)) <=> v123(constB14, 2)))),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3629,plain,
% 14.16/9.31 (~((~v84(constB14, 2)) <=> v123(constB14, 2))),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3628, 3552])).
% 14.16/9.31 tff(3630,plain,
% 14.16/9.31 (((~v84(constB14, 2)) <=> v123(constB14, 2)) | v84(constB14, 2) | (~v123(constB14, 2))),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3631,plain,
% 14.16/9.31 (v84(constB14, 2)),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3630, 3629, 3627])).
% 14.16/9.31 tff(3632,plain,
% 14.16/9.31 (((~v84(constB15, 2)) <=> v84(constB14, 2)) | v84(constB15, 2) | (~v84(constB14, 2))),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3633,plain,
% 14.16/9.31 (v84(constB15, 2)),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3632, 3631, 3617])).
% 14.16/9.31 tff(3634,plain,
% 14.16/9.31 ((v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))) | (~v84(constB15, 2))),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3635,plain,
% 14.16/9.31 (v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3634, 3633])).
% 14.16/9.31 tff(3636,plain,
% 14.16/9.31 ((~(v115(constB15) <=> (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1)))))) | (~v115(constB15)) | (~(v84(constB15, 2) | v84(constB15, 0) | (~v84(constB15, 1))))),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3637,plain,
% 14.16/9.31 (~v115(constB15)),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3636, 3635, 3615])).
% 14.16/9.31 tff(3638,plain,
% 14.16/9.31 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2))))),
% 14.16/9.31 inference(quant_inst,[status(thm)],[])).
% 14.16/9.31 tff(3639,plain,
% 14.16/9.31 (v113(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)))),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3638, 1466])).
% 14.16/9.31 tff(3640,plain,
% 14.16/9.31 ((v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)) | (~v84(constB15, 2))),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3641,plain,
% 14.16/9.31 (v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3640, 3633])).
% 14.16/9.31 tff(3642,plain,
% 14.16/9.31 ((~(v113(constB15) <=> (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2))))) | (~v113(constB15)) | (~(v84(constB15, 0) | v84(constB15, 1) | v84(constB15, 2)))),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3643,plain,
% 14.16/9.31 (~v113(constB15)),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3642, 3641, 3639])).
% 14.16/9.31 tff(3644,plain,
% 14.16/9.31 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB15) | v114(constB15) | v115(constB15) | v116(constB15) | v117(constB15) | v118(constB15) | (~(v124(constB15, 2) | v124(constB15, 1) | (~v124(constB15, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB15) | v114(constB15) | v115(constB15) | v116(constB15) | v117(constB15) | v118(constB15) | (~(v124(constB15, 2) | v124(constB15, 1) | (~v124(constB15, 0)))))),
% 14.16/9.31 inference(rewrite,[status(thm)],[])).
% 14.16/9.31 tff(3645,plain,
% 14.16/9.31 ((v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | (~(v124(constB15, 2) | v124(constB15, 1) | (~v124(constB15, 0))))) <=> (v113(constB15) | v114(constB15) | v115(constB15) | v116(constB15) | v117(constB15) | v118(constB15) | (~(v124(constB15, 2) | v124(constB15, 1) | (~v124(constB15, 0)))))),
% 14.16/9.31 inference(rewrite,[status(thm)],[])).
% 14.16/9.31 tff(3646,plain,
% 14.16/9.31 ((~(v124(constB15, 1) | v124(constB15, 2) | (~v124(constB15, 0)))) <=> (~(v124(constB15, 2) | v124(constB15, 1) | (~v124(constB15, 0))))),
% 14.16/9.31 inference(rewrite,[status(thm)],[])).
% 14.16/9.31 tff(3647,plain,
% 14.16/9.31 ((v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | (~(v124(constB15, 1) | v124(constB15, 2) | (~v124(constB15, 0))))) <=> (v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | (~(v124(constB15, 2) | v124(constB15, 1) | (~v124(constB15, 0)))))),
% 14.16/9.31 inference(monotonicity,[status(thm)],[3646])).
% 14.16/9.31 tff(3648,plain,
% 14.16/9.31 ((v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | (~(v124(constB15, 1) | v124(constB15, 2) | (~v124(constB15, 0))))) <=> (v113(constB15) | v114(constB15) | v115(constB15) | v116(constB15) | v117(constB15) | v118(constB15) | (~(v124(constB15, 2) | v124(constB15, 1) | (~v124(constB15, 0)))))),
% 14.16/9.31 inference(transitivity,[status(thm)],[3647, 3645])).
% 14.16/9.31 tff(3649,plain,
% 14.16/9.31 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | (~(v124(constB15, 1) | v124(constB15, 2) | (~v124(constB15, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB15) | v114(constB15) | v115(constB15) | v116(constB15) | v117(constB15) | v118(constB15) | (~(v124(constB15, 2) | v124(constB15, 1) | (~v124(constB15, 0))))))),
% 14.16/9.31 inference(monotonicity,[status(thm)],[3648])).
% 14.16/9.31 tff(3650,plain,
% 14.16/9.31 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | (~(v124(constB15, 1) | v124(constB15, 2) | (~v124(constB15, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB15) | v114(constB15) | v115(constB15) | v116(constB15) | v117(constB15) | v118(constB15) | (~(v124(constB15, 2) | v124(constB15, 1) | (~v124(constB15, 0)))))),
% 14.16/9.31 inference(transitivity,[status(thm)],[3649, 3644])).
% 14.16/9.31 tff(3651,plain,
% 14.16/9.31 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB15) | v117(constB15) | v116(constB15) | v115(constB15) | v114(constB15) | v113(constB15) | (~(v124(constB15, 1) | v124(constB15, 2) | (~v124(constB15, 0)))))),
% 14.16/9.31 inference(quant_inst,[status(thm)],[])).
% 14.16/9.31 tff(3652,plain,
% 14.16/9.31 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB15) | v114(constB15) | v115(constB15) | v116(constB15) | v117(constB15) | v118(constB15) | (~(v124(constB15, 2) | v124(constB15, 1) | (~v124(constB15, 0))))),
% 14.16/9.31 inference(modus_ponens,[status(thm)],[3651, 3650])).
% 14.16/9.31 tff(3653,plain,
% 14.16/9.31 (v113(constB15) | v114(constB15) | v115(constB15) | v116(constB15) | v117(constB15) | v118(constB15) | (~(v124(constB15, 2) | v124(constB15, 1) | (~v124(constB15, 0))))),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3652, 2777])).
% 14.16/9.31 tff(3654,plain,
% 14.16/9.31 (~(v124(constB15, 2) | v124(constB15, 1) | (~v124(constB15, 0)))),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3653, 3643, 3637, 3608, 3602, 3573, 3562])).
% 14.16/9.31 tff(3655,plain,
% 14.16/9.31 ((v124(constB15, 2) | v124(constB15, 1) | (~v124(constB15, 0))) | (~v124(constB15, 2))),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3656,plain,
% 14.16/9.31 (~v124(constB15, 2)),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3655, 3654])).
% 14.16/9.31 tff(3657,plain,
% 14.16/9.31 (((~v121(constB15, 2)) <=> v124(constB15, 2)) | (~v121(constB15, 2)) | v124(constB15, 2)),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3658,plain,
% 14.16/9.31 (~v121(constB15, 2)),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3657, 3656, 1781])).
% 14.16/9.31 tff(3659,plain,
% 14.16/9.31 (((~v123(constB16, 2)) <=> v121(constB15, 2)) | (~v123(constB16, 2)) | v121(constB15, 2)),
% 14.16/9.31 inference(tautology,[status(thm)],[])).
% 14.16/9.31 tff(3660,plain,
% 14.16/9.31 (~v123(constB16, 2)),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3659, 3658, 1767])).
% 14.16/9.31 tff(3661,plain,
% 14.16/9.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB15, constB16)) | (v94(constB16) <=> (~((~v95(constB16)) | (~v104(constB16))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB15, constB16)) | (v94(constB16) <=> (~((~v95(constB16)) | (~v104(constB16))))))),
% 14.16/9.31 inference(rewrite,[status(thm)],[])).
% 14.16/9.31 tff(3662,plain,
% 14.16/9.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB15, constB16)) | (v94(constB16) <=> (~((~v95(constB16)) | (~v104(constB16))))))),
% 14.16/9.31 inference(quant_inst,[status(thm)],[])).
% 14.16/9.31 tff(3663,plain,
% 14.16/9.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB15, constB16)) | (v94(constB16) <=> (~((~v95(constB16)) | (~v104(constB16)))))),
% 14.16/9.31 inference(modus_ponens,[status(thm)],[3662, 3661])).
% 14.16/9.31 tff(3664,plain,
% 14.16/9.31 (v94(constB16) <=> (~((~v95(constB16)) | (~v104(constB16))))),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3663, 1761, 770])).
% 14.16/9.31 tff(3665,plain,
% 14.16/9.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16))))))),
% 14.16/9.31 inference(rewrite,[status(thm)],[])).
% 14.16/9.31 tff(3666,plain,
% 14.16/9.31 (((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v96(constB16)) | (~v1(constB16)))))) <=> ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16))))))),
% 14.16/9.31 inference(rewrite,[status(thm)],[])).
% 14.16/9.31 tff(3667,plain,
% 14.16/9.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v96(constB16)) | (~v1(constB16))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16)))))))),
% 14.16/9.31 inference(monotonicity,[status(thm)],[3666])).
% 14.16/9.31 tff(3668,plain,
% 14.16/9.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v96(constB16)) | (~v1(constB16))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16))))))),
% 14.16/9.31 inference(transitivity,[status(thm)],[3667, 3665])).
% 14.16/9.31 tff(3669,plain,
% 14.16/9.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v96(constB16)) | (~v1(constB16))))))),
% 14.16/9.31 inference(quant_inst,[status(thm)],[])).
% 14.16/9.31 tff(3670,plain,
% 14.16/9.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16)))))),
% 14.16/9.31 inference(modus_ponens,[status(thm)],[3669, 3668])).
% 14.16/9.31 tff(3671,plain,
% 14.16/9.31 (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16))))),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3670, 1761, 790])).
% 14.16/9.31 tff(3672,plain,
% 14.16/9.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB15, constB16)) | ((~v96(constB16)) <=> v98(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB15, constB16)) | ((~v96(constB16)) <=> v98(constB16)))),
% 14.16/9.31 inference(rewrite,[status(thm)],[])).
% 14.16/9.31 tff(3673,plain,
% 14.16/9.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB15, constB16)) | ((~v96(constB16)) <=> v98(constB16)))),
% 14.16/9.31 inference(quant_inst,[status(thm)],[])).
% 14.16/9.31 tff(3674,plain,
% 14.16/9.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB15, constB16)) | ((~v96(constB16)) <=> v98(constB16))),
% 14.16/9.31 inference(modus_ponens,[status(thm)],[3673, 3672])).
% 14.16/9.31 tff(3675,plain,
% 14.16/9.31 ((~v96(constB16)) <=> v98(constB16)),
% 14.16/9.31 inference(unit_resolution,[status(thm)],[3674, 1761, 2332])).
% 14.16/9.31 tff(3676,plain,
% 14.16/9.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v98(constB16) <=> v1(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v98(constB16) <=> v1(constB15)))),
% 14.16/9.31 inference(rewrite,[status(thm)],[])).
% 14.16/9.31 tff(3677,plain,
% 14.16/9.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v98(constB16) <=> v1(constB15)))),
% 14.16/9.31 inference(quant_inst,[status(thm)],[])).
% 14.16/9.31 tff(3678,plain,
% 14.16/9.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v98(constB16) <=> v1(constB15))),
% 14.16/9.32 inference(modus_ponens,[status(thm)],[3677, 3676])).
% 14.16/9.32 tff(3679,plain,
% 14.16/9.32 (v98(constB16) <=> v1(constB15)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3678, 1761, 2346])).
% 14.16/9.32 tff(3680,plain,
% 14.16/9.32 ((~(v98(constB16) <=> v1(constB15))) | (~v98(constB16)) | v1(constB15)),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3681,plain,
% 14.16/9.32 ((~(v98(constB16) <=> v1(constB15))) | (~v98(constB16))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3680, 1800])).
% 14.16/9.32 tff(3682,plain,
% 14.16/9.32 (~v98(constB16)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3681, 3679])).
% 14.16/9.32 tff(3683,plain,
% 14.16/9.32 ((~((~v96(constB16)) <=> v98(constB16))) | v96(constB16) | v98(constB16)),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3684,plain,
% 14.16/9.32 (v96(constB16)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3683, 3682, 3675])).
% 14.16/9.32 tff(3685,plain,
% 14.16/9.32 (v1(constB16) <=> v1(constB16)),
% 14.16/9.32 inference(rewrite,[status(thm)],[])).
% 14.16/9.32 tff(3686,axiom,(v1(constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_16')).
% 14.16/9.32 tff(3687,plain,
% 14.16/9.32 (v1(constB16)),
% 14.16/9.32 inference(modus_ponens,[status(thm)],[3686, 3685])).
% 14.16/9.32 tff(3688,plain,
% 14.16/9.32 ((~((~v1(constB16)) | (~v96(constB16)))) | (~v1(constB16)) | (~v96(constB16))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3689,plain,
% 14.16/9.32 ((~((~v1(constB16)) | (~v96(constB16)))) | (~v96(constB16))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3688, 3687])).
% 14.16/9.32 tff(3690,plain,
% 14.16/9.32 (~((~v1(constB16)) | (~v96(constB16)))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3689, 3684])).
% 14.16/9.32 tff(3691,plain,
% 14.16/9.32 ((~(v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16)))))) | v95(constB16) | ((~v1(constB16)) | (~v96(constB16)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3692,plain,
% 14.16/9.32 (v95(constB16)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3691, 3690, 3671])).
% 14.16/9.32 tff(3693,plain,
% 14.16/9.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v102(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v102(constB15)))),
% 14.16/9.32 inference(rewrite,[status(thm)],[])).
% 14.16/9.32 tff(3694,plain,
% 14.16/9.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v102(constB15)))),
% 14.16/9.32 inference(quant_inst,[status(thm)],[])).
% 14.16/9.32 tff(3695,plain,
% 14.16/9.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v102(constB15))),
% 14.16/9.32 inference(modus_ponens,[status(thm)],[3694, 3693])).
% 14.16/9.32 tff(3696,plain,
% 14.16/9.32 (v104(constB16) <=> v102(constB15)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3695, 1761, 2373])).
% 14.16/9.32 tff(3697,plain,
% 14.16/9.32 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB15) <=> (v105(constB15) | v106(constB15)))),
% 14.16/9.32 inference(quant_inst,[status(thm)],[])).
% 14.16/9.32 tff(3698,plain,
% 14.16/9.32 (v102(constB15) <=> (v105(constB15) | v106(constB15))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3697, 2384])).
% 14.16/9.32 tff(3699,plain,
% 14.16/9.32 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB15) <=> (~((~v107(constB15)) | (~v120(constB15)))))),
% 14.16/9.32 inference(quant_inst,[status(thm)],[])).
% 14.16/9.32 tff(3700,plain,
% 14.16/9.32 (v106(constB15) <=> (~((~v107(constB15)) | (~v120(constB15))))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3699, 2396])).
% 14.16/9.32 tff(3701,plain,
% 14.16/9.32 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB15) <=> (v108(constB15) | v119(constB15)))),
% 14.16/9.32 inference(quant_inst,[status(thm)],[])).
% 14.16/9.32 tff(3702,plain,
% 14.16/9.32 (v107(constB15) <=> (v108(constB15) | v119(constB15))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3701, 2405])).
% 14.16/9.32 tff(3703,plain,
% 14.16/9.32 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB15) <=> (~(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2)))))),
% 14.16/9.32 inference(quant_inst,[status(thm)],[])).
% 14.16/9.32 tff(3704,plain,
% 14.16/9.32 (v119(constB15) <=> (~(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2))))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3703, 2849])).
% 14.16/9.32 tff(3705,plain,
% 14.16/9.32 ((~(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2)))) | v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3706,plain,
% 14.16/9.32 (~(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2)))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3705, 3598, 3558, 3633])).
% 14.16/9.32 tff(3707,plain,
% 14.16/9.32 ((~(v119(constB15) <=> (~(v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2)))))) | v119(constB15) | (v84(constB15, 0) | (~v84(constB15, 1)) | (~v84(constB15, 2)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3708,plain,
% 14.16/9.32 (v119(constB15)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3707, 3706, 3704])).
% 14.16/9.32 tff(3709,plain,
% 14.16/9.32 ((v108(constB15) | v119(constB15)) | (~v119(constB15))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3710,plain,
% 14.16/9.32 (v108(constB15) | v119(constB15)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3709, 3708])).
% 14.16/9.32 tff(3711,plain,
% 14.16/9.32 ((~(v107(constB15) <=> (v108(constB15) | v119(constB15)))) | v107(constB15) | (~(v108(constB15) | v119(constB15)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3712,plain,
% 14.16/9.32 (v107(constB15)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3711, 3710, 3702])).
% 14.16/9.32 tff(3713,plain,
% 14.16/9.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB15)) <=> v105(constB15))),
% 14.16/9.32 inference(quant_inst,[status(thm)],[])).
% 14.16/9.32 tff(3714,plain,
% 14.16/9.32 ((~v120(constB15)) <=> v105(constB15)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3713, 2484])).
% 14.16/9.32 tff(3715,plain,
% 14.16/9.32 ((~((~v120(constB15)) <=> v105(constB15))) | v120(constB15) | v105(constB15)),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3716,plain,
% 14.16/9.32 ((~((~v120(constB15)) <=> v105(constB15))) | v120(constB15)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3715, 1774])).
% 14.16/9.32 tff(3717,plain,
% 14.16/9.32 (v120(constB15)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3716, 3714])).
% 14.16/9.32 tff(3718,plain,
% 14.16/9.32 ((~((~v107(constB15)) | (~v120(constB15)))) | (~v107(constB15)) | (~v120(constB15))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3719,plain,
% 14.16/9.32 ((~((~v107(constB15)) | (~v120(constB15)))) | (~v107(constB15))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3718, 3717])).
% 14.16/9.32 tff(3720,plain,
% 14.16/9.32 (~((~v107(constB15)) | (~v120(constB15)))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3719, 3712])).
% 14.16/9.32 tff(3721,plain,
% 14.16/9.32 ((~(v106(constB15) <=> (~((~v107(constB15)) | (~v120(constB15)))))) | v106(constB15) | ((~v107(constB15)) | (~v120(constB15)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3722,plain,
% 14.16/9.32 (v106(constB15)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3721, 3720, 3700])).
% 14.16/9.32 tff(3723,plain,
% 14.16/9.32 ((v105(constB15) | v106(constB15)) | (~v106(constB15))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3724,plain,
% 14.16/9.32 (v105(constB15) | v106(constB15)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3723, 3722])).
% 14.16/9.32 tff(3725,plain,
% 14.16/9.32 ((~(v102(constB15) <=> (v105(constB15) | v106(constB15)))) | v102(constB15) | (~(v105(constB15) | v106(constB15)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3726,plain,
% 14.16/9.32 (v102(constB15)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3725, 3724, 3698])).
% 14.16/9.32 tff(3727,plain,
% 14.16/9.32 ((~(v104(constB16) <=> v102(constB15))) | v104(constB16) | (~v102(constB15))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3728,plain,
% 14.16/9.32 (v104(constB16)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3727, 3726, 3696])).
% 14.16/9.32 tff(3729,plain,
% 14.16/9.32 ((~((~v95(constB16)) | (~v104(constB16)))) | (~v95(constB16)) | (~v104(constB16))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3730,plain,
% 14.16/9.32 (~((~v95(constB16)) | (~v104(constB16)))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3729, 3728, 3692])).
% 14.16/9.32 tff(3731,plain,
% 14.16/9.32 ((~(v94(constB16) <=> (~((~v95(constB16)) | (~v104(constB16)))))) | v94(constB16) | ((~v95(constB16)) | (~v104(constB16)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3732,plain,
% 14.16/9.32 (v94(constB16)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3731, 3730, 3664])).
% 14.16/9.32 tff(3733,plain,
% 14.16/9.32 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB16)) | (~(((~v84(constB16, 2)) <=> v123(constB16, 2)) | ((~v84(constB16, 1)) <=> v123(constB16, 1)) | ((~v84(constB16, 0)) <=> v123(constB16, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB16)) | (~(((~v84(constB16, 2)) <=> v123(constB16, 2)) | ((~v84(constB16, 1)) <=> v123(constB16, 1)) | ((~v84(constB16, 0)) <=> v123(constB16, 0)))))),
% 14.16/9.32 inference(rewrite,[status(thm)],[])).
% 14.16/9.32 tff(3734,plain,
% 14.16/9.32 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB16)) | (~(((~v84(constB16, 2)) <=> v123(constB16, 2)) | ((~v84(constB16, 1)) <=> v123(constB16, 1)) | ((~v84(constB16, 0)) <=> v123(constB16, 0)))))),
% 14.16/9.32 inference(quant_inst,[status(thm)],[])).
% 14.16/9.32 tff(3735,plain,
% 14.16/9.32 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB16)) | (~(((~v84(constB16, 2)) <=> v123(constB16, 2)) | ((~v84(constB16, 1)) <=> v123(constB16, 1)) | ((~v84(constB16, 0)) <=> v123(constB16, 0))))),
% 14.16/9.32 inference(modus_ponens,[status(thm)],[3734, 3733])).
% 14.16/9.32 tff(3736,plain,
% 14.16/9.32 ((~v94(constB16)) | (~(((~v84(constB16, 2)) <=> v123(constB16, 2)) | ((~v84(constB16, 1)) <=> v123(constB16, 1)) | ((~v84(constB16, 0)) <=> v123(constB16, 0))))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3735, 2517])).
% 14.16/9.32 tff(3737,plain,
% 14.16/9.32 (~(((~v84(constB16, 2)) <=> v123(constB16, 2)) | ((~v84(constB16, 1)) <=> v123(constB16, 1)) | ((~v84(constB16, 0)) <=> v123(constB16, 0)))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3736, 3732])).
% 14.16/9.32 tff(3738,plain,
% 14.16/9.32 ((((~v84(constB16, 2)) <=> v123(constB16, 2)) | ((~v84(constB16, 1)) <=> v123(constB16, 1)) | ((~v84(constB16, 0)) <=> v123(constB16, 0))) | (~((~v84(constB16, 2)) <=> v123(constB16, 2)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3739,plain,
% 14.16/9.32 (~((~v84(constB16, 2)) <=> v123(constB16, 2))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3738, 3737])).
% 14.16/9.32 tff(3740,plain,
% 14.16/9.32 (((~v84(constB16, 2)) <=> v123(constB16, 2)) | (~v84(constB16, 2)) | v123(constB16, 2)),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3741,plain,
% 14.16/9.32 (~v84(constB16, 2)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3740, 3739, 3660])).
% 14.16/9.32 tff(3742,plain,
% 14.16/9.32 (((~v84(constB17, 2)) <=> v84(constB16, 2)) | (~v84(constB17, 2)) | v84(constB16, 2)),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3743,plain,
% 14.16/9.32 (~v84(constB17, 2)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3742, 3741, 1758])).
% 14.16/9.32 tff(3744,plain,
% 14.16/9.32 ((((~v84(constB17, 1)) <=> v84(constB16, 1)) | ((~v84(constB17, 2)) <=> v84(constB16, 2)) | ((~v84(constB17, 0)) <=> v84(constB16, 0))) | (~((~v84(constB17, 0)) <=> v84(constB16, 0)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3745,plain,
% 14.16/9.32 (~((~v84(constB17, 0)) <=> v84(constB16, 0))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3744, 1756])).
% 14.16/9.32 tff(3746,plain,
% 14.16/9.32 ((((~v123(constB16, 2)) <=> v121(constB15, 2)) | ((~v123(constB16, 1)) <=> v121(constB15, 1)) | ((~v123(constB16, 0)) <=> v121(constB15, 0))) | (~((~v123(constB16, 0)) <=> v121(constB15, 0)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3747,plain,
% 14.16/9.32 (~((~v123(constB16, 0)) <=> v121(constB15, 0))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3746, 1765])).
% 14.16/9.32 tff(3748,plain,
% 14.16/9.32 ((((~v121(constB15, 2)) <=> v124(constB15, 2)) | ((~v121(constB15, 0)) <=> v124(constB15, 0)) | ((~v121(constB15, 1)) <=> v124(constB15, 1))) | (~((~v121(constB15, 0)) <=> v124(constB15, 0)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3749,plain,
% 14.16/9.32 (~((~v121(constB15, 0)) <=> v124(constB15, 0))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3748, 1779])).
% 14.16/9.32 tff(3750,plain,
% 14.16/9.32 ((v124(constB15, 2) | v124(constB15, 1) | (~v124(constB15, 0))) | v124(constB15, 0)),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3751,plain,
% 14.16/9.32 (v124(constB15, 0)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3750, 3654])).
% 14.16/9.32 tff(3752,plain,
% 14.16/9.32 (((~v121(constB15, 0)) <=> v124(constB15, 0)) | v121(constB15, 0) | (~v124(constB15, 0))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3753,plain,
% 14.16/9.32 (v121(constB15, 0)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3752, 3751, 3749])).
% 14.16/9.32 tff(3754,plain,
% 14.16/9.32 (((~v123(constB16, 0)) <=> v121(constB15, 0)) | v123(constB16, 0) | (~v121(constB15, 0))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3755,plain,
% 14.16/9.32 (v123(constB16, 0)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3754, 3753, 3747])).
% 14.16/9.32 tff(3756,plain,
% 14.16/9.32 ((((~v84(constB16, 2)) <=> v123(constB16, 2)) | ((~v84(constB16, 1)) <=> v123(constB16, 1)) | ((~v84(constB16, 0)) <=> v123(constB16, 0))) | (~((~v84(constB16, 0)) <=> v123(constB16, 0)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3757,plain,
% 14.16/9.32 (~((~v84(constB16, 0)) <=> v123(constB16, 0))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3756, 3737])).
% 14.16/9.32 tff(3758,plain,
% 14.16/9.32 (((~v84(constB16, 0)) <=> v123(constB16, 0)) | v84(constB16, 0) | (~v123(constB16, 0))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3759,plain,
% 14.16/9.32 (v84(constB16, 0)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3758, 3757, 3755])).
% 14.16/9.32 tff(3760,plain,
% 14.16/9.32 (((~v84(constB17, 0)) <=> v84(constB16, 0)) | v84(constB17, 0) | (~v84(constB16, 0))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3761,plain,
% 14.16/9.32 (v84(constB17, 0)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3760, 3759, 3745])).
% 14.16/9.32 tff(3762,plain,
% 14.16/9.32 ((((~v84(constB17, 1)) <=> v84(constB16, 1)) | ((~v84(constB17, 2)) <=> v84(constB16, 2)) | ((~v84(constB17, 0)) <=> v84(constB16, 0))) | (~((~v84(constB17, 1)) <=> v84(constB16, 1)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3763,plain,
% 14.16/9.32 (~((~v84(constB17, 1)) <=> v84(constB16, 1))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3762, 1756])).
% 14.16/9.32 tff(3764,plain,
% 14.16/9.32 ((((~v123(constB16, 2)) <=> v121(constB15, 2)) | ((~v123(constB16, 1)) <=> v121(constB15, 1)) | ((~v123(constB16, 0)) <=> v121(constB15, 0))) | (~((~v123(constB16, 1)) <=> v121(constB15, 1)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3765,plain,
% 14.16/9.32 (~((~v123(constB16, 1)) <=> v121(constB15, 1))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3764, 1765])).
% 14.16/9.32 tff(3766,plain,
% 14.16/9.32 ((((~v121(constB15, 2)) <=> v124(constB15, 2)) | ((~v121(constB15, 0)) <=> v124(constB15, 0)) | ((~v121(constB15, 1)) <=> v124(constB15, 1))) | (~((~v121(constB15, 1)) <=> v124(constB15, 1)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3767,plain,
% 14.16/9.32 (~((~v121(constB15, 1)) <=> v124(constB15, 1))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3766, 1779])).
% 14.16/9.32 tff(3768,plain,
% 14.16/9.32 ((v124(constB15, 2) | v124(constB15, 1) | (~v124(constB15, 0))) | (~v124(constB15, 1))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3769,plain,
% 14.16/9.32 (~v124(constB15, 1)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3768, 3654])).
% 14.16/9.32 tff(3770,plain,
% 14.16/9.32 (((~v121(constB15, 1)) <=> v124(constB15, 1)) | (~v121(constB15, 1)) | v124(constB15, 1)),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3771,plain,
% 14.16/9.32 (~v121(constB15, 1)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3770, 3769, 3767])).
% 14.16/9.32 tff(3772,plain,
% 14.16/9.32 (((~v123(constB16, 1)) <=> v121(constB15, 1)) | (~v123(constB16, 1)) | v121(constB15, 1)),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3773,plain,
% 14.16/9.32 (~v123(constB16, 1)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3772, 3771, 3765])).
% 14.16/9.32 tff(3774,plain,
% 14.16/9.32 ((((~v84(constB16, 2)) <=> v123(constB16, 2)) | ((~v84(constB16, 1)) <=> v123(constB16, 1)) | ((~v84(constB16, 0)) <=> v123(constB16, 0))) | (~((~v84(constB16, 1)) <=> v123(constB16, 1)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3775,plain,
% 14.16/9.32 (~((~v84(constB16, 1)) <=> v123(constB16, 1))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3774, 3737])).
% 14.16/9.32 tff(3776,plain,
% 14.16/9.32 (((~v84(constB16, 1)) <=> v123(constB16, 1)) | (~v84(constB16, 1)) | v123(constB16, 1)),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3777,plain,
% 14.16/9.32 (~v84(constB16, 1)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3776, 3775, 3773])).
% 14.16/9.32 tff(3778,plain,
% 14.16/9.32 (((~v84(constB17, 1)) <=> v84(constB16, 1)) | (~v84(constB17, 1)) | v84(constB16, 1)),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3779,plain,
% 14.16/9.32 (~v84(constB17, 1)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3778, 3777, 3763])).
% 14.16/9.32 tff(3780,plain,
% 14.16/9.32 ((~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))) | v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3781,plain,
% 14.16/9.32 (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3780, 3779, 3761, 3743])).
% 14.16/9.32 tff(3782,plain,
% 14.16/9.32 ((~(v114(constB17) <=> (~(v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))))) | v114(constB17) | (v84(constB17, 1) | v84(constB17, 2) | (~v84(constB17, 0)))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.32 tff(3783,plain,
% 14.16/9.32 (v114(constB17)),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3782, 3781, 1722])).
% 14.16/9.32 tff(3784,plain,
% 14.16/9.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB17)) | (~(v124(constB17, 2) | v124(constB17, 0) | (~v124(constB17, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB17)) | (~(v124(constB17, 2) | v124(constB17, 0) | (~v124(constB17, 1)))))),
% 14.16/9.32 inference(rewrite,[status(thm)],[])).
% 14.16/9.32 tff(3785,plain,
% 14.16/9.32 (((~v114(constB17)) | (~(v124(constB17, 0) | v124(constB17, 2) | (~v124(constB17, 1))))) <=> ((~v114(constB17)) | (~(v124(constB17, 2) | v124(constB17, 0) | (~v124(constB17, 1)))))),
% 14.16/9.32 inference(rewrite,[status(thm)],[])).
% 14.16/9.32 tff(3786,plain,
% 14.16/9.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB17)) | (~(v124(constB17, 0) | v124(constB17, 2) | (~v124(constB17, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB17)) | (~(v124(constB17, 2) | v124(constB17, 0) | (~v124(constB17, 1))))))),
% 14.16/9.32 inference(monotonicity,[status(thm)],[3785])).
% 14.16/9.32 tff(3787,plain,
% 14.16/9.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB17)) | (~(v124(constB17, 0) | v124(constB17, 2) | (~v124(constB17, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB17)) | (~(v124(constB17, 2) | v124(constB17, 0) | (~v124(constB17, 1)))))),
% 14.16/9.32 inference(transitivity,[status(thm)],[3786, 3784])).
% 14.16/9.32 tff(3788,plain,
% 14.16/9.32 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB17)) | (~(v124(constB17, 0) | v124(constB17, 2) | (~v124(constB17, 1)))))),
% 14.16/9.32 inference(quant_inst,[status(thm)],[])).
% 14.16/9.32 tff(3789,plain,
% 14.16/9.32 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB17)) | (~(v124(constB17, 2) | v124(constB17, 0) | (~v124(constB17, 1))))),
% 14.16/9.32 inference(modus_ponens,[status(thm)],[3788, 3787])).
% 14.16/9.32 tff(3790,plain,
% 14.16/9.32 ((~v114(constB17)) | (~(v124(constB17, 2) | v124(constB17, 0) | (~v124(constB17, 1))))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3789, 2964])).
% 14.16/9.32 tff(3791,plain,
% 14.16/9.32 (~(v124(constB17, 2) | v124(constB17, 0) | (~v124(constB17, 1)))),
% 14.16/9.32 inference(unit_resolution,[status(thm)],[3790, 3783])).
% 14.16/9.32 tff(3792,plain,
% 14.16/9.32 ((v124(constB17, 2) | v124(constB17, 0) | (~v124(constB17, 1))) | (~v124(constB17, 2))),
% 14.16/9.32 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3793,plain,
% 14.16/9.33 (~v124(constB17, 2)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3792, 3791])).
% 14.16/9.33 tff(3794,plain,
% 14.16/9.33 (((~v121(constB17, 2)) <=> v124(constB17, 2)) | (~v121(constB17, 2)) | v124(constB17, 2)),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3795,plain,
% 14.16/9.33 (~v121(constB17, 2)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3794, 3793, 1720])).
% 14.16/9.33 tff(3796,plain,
% 14.16/9.33 (((~v123(constB18, 2)) <=> v121(constB17, 2)) | (~v123(constB18, 2)) | v121(constB17, 2)),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3797,plain,
% 14.16/9.33 (~v123(constB18, 2)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3796, 3795, 1706])).
% 14.16/9.33 tff(3798,plain,
% 14.16/9.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB17, constB18)) | (v94(constB18) <=> (~((~v95(constB18)) | (~v104(constB18))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB17, constB18)) | (v94(constB18) <=> (~((~v95(constB18)) | (~v104(constB18))))))),
% 14.16/9.33 inference(rewrite,[status(thm)],[])).
% 14.16/9.33 tff(3799,plain,
% 14.16/9.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB17, constB18)) | (v94(constB18) <=> (~((~v95(constB18)) | (~v104(constB18))))))),
% 14.16/9.33 inference(quant_inst,[status(thm)],[])).
% 14.16/9.33 tff(3800,plain,
% 14.16/9.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB17, constB18)) | (v94(constB18) <=> (~((~v95(constB18)) | (~v104(constB18)))))),
% 14.16/9.33 inference(modus_ponens,[status(thm)],[3799, 3798])).
% 14.16/9.33 tff(3801,plain,
% 14.16/9.33 (v94(constB18) <=> (~((~v95(constB18)) | (~v104(constB18))))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3800, 1700, 770])).
% 14.16/9.33 tff(3802,plain,
% 14.16/9.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18))))))),
% 14.16/9.33 inference(rewrite,[status(thm)],[])).
% 14.16/9.33 tff(3803,plain,
% 14.16/9.33 (((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v96(constB18)) | (~v1(constB18)))))) <=> ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18))))))),
% 14.16/9.33 inference(rewrite,[status(thm)],[])).
% 14.16/9.33 tff(3804,plain,
% 14.16/9.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v96(constB18)) | (~v1(constB18))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18)))))))),
% 14.16/9.33 inference(monotonicity,[status(thm)],[3803])).
% 14.16/9.33 tff(3805,plain,
% 14.16/9.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v96(constB18)) | (~v1(constB18))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18))))))),
% 14.16/9.33 inference(transitivity,[status(thm)],[3804, 3802])).
% 14.16/9.33 tff(3806,plain,
% 14.16/9.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v96(constB18)) | (~v1(constB18))))))),
% 14.16/9.33 inference(quant_inst,[status(thm)],[])).
% 14.16/9.33 tff(3807,plain,
% 14.16/9.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18)))))),
% 14.16/9.33 inference(modus_ponens,[status(thm)],[3806, 3805])).
% 14.16/9.33 tff(3808,plain,
% 14.16/9.33 (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18))))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3807, 1700, 790])).
% 14.16/9.33 tff(3809,plain,
% 14.16/9.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v96(constB18)) <=> v98(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB17, constB18)) | ((~v96(constB18)) <=> v98(constB18)))),
% 14.16/9.33 inference(rewrite,[status(thm)],[])).
% 14.16/9.33 tff(3810,plain,
% 14.16/9.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v96(constB18)) <=> v98(constB18)))),
% 14.16/9.33 inference(quant_inst,[status(thm)],[])).
% 14.16/9.33 tff(3811,plain,
% 14.16/9.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB17, constB18)) | ((~v96(constB18)) <=> v98(constB18))),
% 14.16/9.33 inference(modus_ponens,[status(thm)],[3810, 3809])).
% 14.16/9.33 tff(3812,plain,
% 14.16/9.33 ((~v96(constB18)) <=> v98(constB18)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3811, 1700, 2332])).
% 14.16/9.33 tff(3813,plain,
% 14.16/9.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v98(constB18) <=> v1(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v98(constB18) <=> v1(constB17)))),
% 14.16/9.33 inference(rewrite,[status(thm)],[])).
% 14.16/9.33 tff(3814,plain,
% 14.16/9.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v98(constB18) <=> v1(constB17)))),
% 14.16/9.33 inference(quant_inst,[status(thm)],[])).
% 14.16/9.33 tff(3815,plain,
% 14.16/9.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v98(constB18) <=> v1(constB17))),
% 14.16/9.33 inference(modus_ponens,[status(thm)],[3814, 3813])).
% 14.16/9.33 tff(3816,plain,
% 14.16/9.33 (v98(constB18) <=> v1(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3815, 1700, 2346])).
% 14.16/9.33 tff(3817,plain,
% 14.16/9.33 ((~(v98(constB18) <=> v1(constB17))) | (~v98(constB18)) | v1(constB17)),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3818,plain,
% 14.16/9.33 ((~(v98(constB18) <=> v1(constB17))) | (~v98(constB18))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3817, 1739])).
% 14.16/9.33 tff(3819,plain,
% 14.16/9.33 (~v98(constB18)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3818, 3816])).
% 14.16/9.33 tff(3820,plain,
% 14.16/9.33 ((~((~v96(constB18)) <=> v98(constB18))) | v96(constB18) | v98(constB18)),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3821,plain,
% 14.16/9.33 (v96(constB18)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3820, 3819, 3812])).
% 14.16/9.33 tff(3822,plain,
% 14.16/9.33 (v1(constB18) <=> v1(constB18)),
% 14.16/9.33 inference(rewrite,[status(thm)],[])).
% 14.16/9.33 tff(3823,axiom,(v1(constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_18')).
% 14.16/9.33 tff(3824,plain,
% 14.16/9.33 (v1(constB18)),
% 14.16/9.33 inference(modus_ponens,[status(thm)],[3823, 3822])).
% 14.16/9.33 tff(3825,plain,
% 14.16/9.33 ((~((~v1(constB18)) | (~v96(constB18)))) | (~v1(constB18)) | (~v96(constB18))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3826,plain,
% 14.16/9.33 ((~((~v1(constB18)) | (~v96(constB18)))) | (~v96(constB18))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3825, 3824])).
% 14.16/9.33 tff(3827,plain,
% 14.16/9.33 (~((~v1(constB18)) | (~v96(constB18)))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3826, 3821])).
% 14.16/9.33 tff(3828,plain,
% 14.16/9.33 ((~(v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18)))))) | v95(constB18) | ((~v1(constB18)) | (~v96(constB18)))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3829,plain,
% 14.16/9.33 (v95(constB18)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3828, 3827, 3808])).
% 14.16/9.33 tff(3830,plain,
% 14.16/9.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v102(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v102(constB17)))),
% 14.16/9.33 inference(rewrite,[status(thm)],[])).
% 14.16/9.33 tff(3831,plain,
% 14.16/9.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v102(constB17)))),
% 14.16/9.33 inference(quant_inst,[status(thm)],[])).
% 14.16/9.33 tff(3832,plain,
% 14.16/9.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v102(constB17))),
% 14.16/9.33 inference(modus_ponens,[status(thm)],[3831, 3830])).
% 14.16/9.33 tff(3833,plain,
% 14.16/9.33 (v104(constB18) <=> v102(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3832, 1700, 2373])).
% 14.16/9.33 tff(3834,plain,
% 14.16/9.33 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB17) <=> (v105(constB17) | v106(constB17)))),
% 14.16/9.33 inference(quant_inst,[status(thm)],[])).
% 14.16/9.33 tff(3835,plain,
% 14.16/9.33 (v102(constB17) <=> (v105(constB17) | v106(constB17))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3834, 2384])).
% 14.16/9.33 tff(3836,plain,
% 14.16/9.33 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB17) <=> (~((~v107(constB17)) | (~v120(constB17)))))),
% 14.16/9.33 inference(quant_inst,[status(thm)],[])).
% 14.16/9.33 tff(3837,plain,
% 14.16/9.33 (v106(constB17) <=> (~((~v107(constB17)) | (~v120(constB17))))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3836, 2396])).
% 14.16/9.33 tff(3838,plain,
% 14.16/9.33 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB17) <=> (v108(constB17) | v119(constB17)))),
% 14.16/9.33 inference(quant_inst,[status(thm)],[])).
% 14.16/9.33 tff(3839,plain,
% 14.16/9.33 (v107(constB17) <=> (v108(constB17) | v119(constB17))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3838, 2405])).
% 14.16/9.33 tff(3840,plain,
% 14.16/9.33 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB17) <=> (v109(constB17) | v118(constB17)))),
% 14.16/9.33 inference(quant_inst,[status(thm)],[])).
% 14.16/9.33 tff(3841,plain,
% 14.16/9.33 (v108(constB17) <=> (v109(constB17) | v118(constB17))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3840, 2414])).
% 14.16/9.33 tff(3842,plain,
% 14.16/9.33 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB17) <=> (v110(constB17) | v117(constB17)))),
% 14.16/9.33 inference(quant_inst,[status(thm)],[])).
% 14.16/9.33 tff(3843,plain,
% 14.16/9.33 (v109(constB17) <=> (v110(constB17) | v117(constB17))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3842, 2423])).
% 14.16/9.33 tff(3844,plain,
% 14.16/9.33 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB17) <=> (v111(constB17) | v116(constB17)))),
% 14.16/9.33 inference(quant_inst,[status(thm)],[])).
% 14.16/9.33 tff(3845,plain,
% 14.16/9.33 (v110(constB17) <=> (v111(constB17) | v116(constB17))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3844, 2432])).
% 14.16/9.33 tff(3846,plain,
% 14.16/9.33 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB17) <=> (v112(constB17) | v115(constB17)))),
% 14.16/9.33 inference(quant_inst,[status(thm)],[])).
% 14.16/9.33 tff(3847,plain,
% 14.16/9.33 (v111(constB17) <=> (v112(constB17) | v115(constB17))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3846, 2441])).
% 14.16/9.33 tff(3848,plain,
% 14.16/9.33 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB17) <=> (v113(constB17) | v114(constB17)))),
% 14.16/9.33 inference(quant_inst,[status(thm)],[])).
% 14.16/9.33 tff(3849,plain,
% 14.16/9.33 (v112(constB17) <=> (v113(constB17) | v114(constB17))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3848, 2450])).
% 14.16/9.33 tff(3850,plain,
% 14.16/9.33 ((v113(constB17) | v114(constB17)) | (~v114(constB17))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3851,plain,
% 14.16/9.33 (v113(constB17) | v114(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3850, 3783])).
% 14.16/9.33 tff(3852,plain,
% 14.16/9.33 ((~(v112(constB17) <=> (v113(constB17) | v114(constB17)))) | v112(constB17) | (~(v113(constB17) | v114(constB17)))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3853,plain,
% 14.16/9.33 (v112(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3852, 3851, 3849])).
% 14.16/9.33 tff(3854,plain,
% 14.16/9.33 ((v112(constB17) | v115(constB17)) | (~v112(constB17))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3855,plain,
% 14.16/9.33 (v112(constB17) | v115(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3854, 3853])).
% 14.16/9.33 tff(3856,plain,
% 14.16/9.33 ((~(v111(constB17) <=> (v112(constB17) | v115(constB17)))) | v111(constB17) | (~(v112(constB17) | v115(constB17)))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3857,plain,
% 14.16/9.33 (v111(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3856, 3855, 3847])).
% 14.16/9.33 tff(3858,plain,
% 14.16/9.33 ((v111(constB17) | v116(constB17)) | (~v111(constB17))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3859,plain,
% 14.16/9.33 (v111(constB17) | v116(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3858, 3857])).
% 14.16/9.33 tff(3860,plain,
% 14.16/9.33 ((~(v110(constB17) <=> (v111(constB17) | v116(constB17)))) | v110(constB17) | (~(v111(constB17) | v116(constB17)))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3861,plain,
% 14.16/9.33 (v110(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3860, 3859, 3845])).
% 14.16/9.33 tff(3862,plain,
% 14.16/9.33 ((v110(constB17) | v117(constB17)) | (~v110(constB17))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3863,plain,
% 14.16/9.33 (v110(constB17) | v117(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3862, 3861])).
% 14.16/9.33 tff(3864,plain,
% 14.16/9.33 ((~(v109(constB17) <=> (v110(constB17) | v117(constB17)))) | v109(constB17) | (~(v110(constB17) | v117(constB17)))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3865,plain,
% 14.16/9.33 (v109(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3864, 3863, 3843])).
% 14.16/9.33 tff(3866,plain,
% 14.16/9.33 ((v109(constB17) | v118(constB17)) | (~v109(constB17))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3867,plain,
% 14.16/9.33 (v109(constB17) | v118(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3866, 3865])).
% 14.16/9.33 tff(3868,plain,
% 14.16/9.33 ((~(v108(constB17) <=> (v109(constB17) | v118(constB17)))) | v108(constB17) | (~(v109(constB17) | v118(constB17)))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3869,plain,
% 14.16/9.33 (v108(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3868, 3867, 3841])).
% 14.16/9.33 tff(3870,plain,
% 14.16/9.33 ((v108(constB17) | v119(constB17)) | (~v108(constB17))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3871,plain,
% 14.16/9.33 (v108(constB17) | v119(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3870, 3869])).
% 14.16/9.33 tff(3872,plain,
% 14.16/9.33 ((~(v107(constB17) <=> (v108(constB17) | v119(constB17)))) | v107(constB17) | (~(v108(constB17) | v119(constB17)))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3873,plain,
% 14.16/9.33 (v107(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3872, 3871, 3839])).
% 14.16/9.33 tff(3874,plain,
% 14.16/9.33 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB17)) <=> v105(constB17))),
% 14.16/9.33 inference(quant_inst,[status(thm)],[])).
% 14.16/9.33 tff(3875,plain,
% 14.16/9.33 ((~v120(constB17)) <=> v105(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3874, 2484])).
% 14.16/9.33 tff(3876,plain,
% 14.16/9.33 ((~((~v120(constB17)) <=> v105(constB17))) | v120(constB17) | v105(constB17)),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3877,plain,
% 14.16/9.33 ((~((~v120(constB17)) <=> v105(constB17))) | v120(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3876, 1713])).
% 14.16/9.33 tff(3878,plain,
% 14.16/9.33 (v120(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3877, 3875])).
% 14.16/9.33 tff(3879,plain,
% 14.16/9.33 ((~((~v107(constB17)) | (~v120(constB17)))) | (~v107(constB17)) | (~v120(constB17))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3880,plain,
% 14.16/9.33 ((~((~v107(constB17)) | (~v120(constB17)))) | (~v107(constB17))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3879, 3878])).
% 14.16/9.33 tff(3881,plain,
% 14.16/9.33 (~((~v107(constB17)) | (~v120(constB17)))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3880, 3873])).
% 14.16/9.33 tff(3882,plain,
% 14.16/9.33 ((~(v106(constB17) <=> (~((~v107(constB17)) | (~v120(constB17)))))) | v106(constB17) | ((~v107(constB17)) | (~v120(constB17)))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3883,plain,
% 14.16/9.33 (v106(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3882, 3881, 3837])).
% 14.16/9.33 tff(3884,plain,
% 14.16/9.33 ((v105(constB17) | v106(constB17)) | (~v106(constB17))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3885,plain,
% 14.16/9.33 (v105(constB17) | v106(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3884, 3883])).
% 14.16/9.33 tff(3886,plain,
% 14.16/9.33 ((~(v102(constB17) <=> (v105(constB17) | v106(constB17)))) | v102(constB17) | (~(v105(constB17) | v106(constB17)))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3887,plain,
% 14.16/9.33 (v102(constB17)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3886, 3885, 3835])).
% 14.16/9.33 tff(3888,plain,
% 14.16/9.33 ((~(v104(constB18) <=> v102(constB17))) | v104(constB18) | (~v102(constB17))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3889,plain,
% 14.16/9.33 (v104(constB18)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3888, 3887, 3833])).
% 14.16/9.33 tff(3890,plain,
% 14.16/9.33 ((~((~v95(constB18)) | (~v104(constB18)))) | (~v95(constB18)) | (~v104(constB18))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3891,plain,
% 14.16/9.33 (~((~v95(constB18)) | (~v104(constB18)))),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3890, 3889, 3829])).
% 14.16/9.33 tff(3892,plain,
% 14.16/9.33 ((~(v94(constB18) <=> (~((~v95(constB18)) | (~v104(constB18)))))) | v94(constB18) | ((~v95(constB18)) | (~v104(constB18)))),
% 14.16/9.33 inference(tautology,[status(thm)],[])).
% 14.16/9.33 tff(3893,plain,
% 14.16/9.33 (v94(constB18)),
% 14.16/9.33 inference(unit_resolution,[status(thm)],[3892, 3891, 3801])).
% 14.16/9.33 tff(3894,plain,
% 14.16/9.33 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB18)) | (~(((~v84(constB18, 0)) <=> v123(constB18, 0)) | ((~v84(constB18, 2)) <=> v123(constB18, 2)) | ((~v84(constB18, 1)) <=> v123(constB18, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB18)) | (~(((~v84(constB18, 0)) <=> v123(constB18, 0)) | ((~v84(constB18, 2)) <=> v123(constB18, 2)) | ((~v84(constB18, 1)) <=> v123(constB18, 1)))))),
% 14.16/9.33 inference(rewrite,[status(thm)],[])).
% 14.16/9.33 tff(3895,plain,
% 14.16/9.33 (((~v94(constB18)) | (~(((~v84(constB18, 2)) <=> v123(constB18, 2)) | ((~v84(constB18, 1)) <=> v123(constB18, 1)) | ((~v84(constB18, 0)) <=> v123(constB18, 0))))) <=> ((~v94(constB18)) | (~(((~v84(constB18, 0)) <=> v123(constB18, 0)) | ((~v84(constB18, 2)) <=> v123(constB18, 2)) | ((~v84(constB18, 1)) <=> v123(constB18, 1)))))),
% 14.16/9.33 inference(rewrite,[status(thm)],[])).
% 14.16/9.33 tff(3896,plain,
% 14.16/9.33 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB18)) | (~(((~v84(constB18, 2)) <=> v123(constB18, 2)) | ((~v84(constB18, 1)) <=> v123(constB18, 1)) | ((~v84(constB18, 0)) <=> v123(constB18, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB18)) | (~(((~v84(constB18, 0)) <=> v123(constB18, 0)) | ((~v84(constB18, 2)) <=> v123(constB18, 2)) | ((~v84(constB18, 1)) <=> v123(constB18, 1))))))),
% 14.16/9.33 inference(monotonicity,[status(thm)],[3895])).
% 14.16/9.33 tff(3897,plain,
% 14.16/9.33 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB18)) | (~(((~v84(constB18, 2)) <=> v123(constB18, 2)) | ((~v84(constB18, 1)) <=> v123(constB18, 1)) | ((~v84(constB18, 0)) <=> v123(constB18, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB18)) | (~(((~v84(constB18, 0)) <=> v123(constB18, 0)) | ((~v84(constB18, 2)) <=> v123(constB18, 2)) | ((~v84(constB18, 1)) <=> v123(constB18, 1)))))),
% 14.16/9.34 inference(transitivity,[status(thm)],[3896, 3894])).
% 14.16/9.34 tff(3898,plain,
% 14.16/9.34 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB18)) | (~(((~v84(constB18, 2)) <=> v123(constB18, 2)) | ((~v84(constB18, 1)) <=> v123(constB18, 1)) | ((~v84(constB18, 0)) <=> v123(constB18, 0)))))),
% 14.16/9.34 inference(quant_inst,[status(thm)],[])).
% 14.16/9.34 tff(3899,plain,
% 14.16/9.34 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB18)) | (~(((~v84(constB18, 0)) <=> v123(constB18, 0)) | ((~v84(constB18, 2)) <=> v123(constB18, 2)) | ((~v84(constB18, 1)) <=> v123(constB18, 1))))),
% 14.16/9.34 inference(modus_ponens,[status(thm)],[3898, 3897])).
% 14.16/9.34 tff(3900,plain,
% 14.16/9.34 ((~v94(constB18)) | (~(((~v84(constB18, 0)) <=> v123(constB18, 0)) | ((~v84(constB18, 2)) <=> v123(constB18, 2)) | ((~v84(constB18, 1)) <=> v123(constB18, 1))))),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3899, 2517])).
% 14.16/9.34 tff(3901,plain,
% 14.16/9.34 (~(((~v84(constB18, 0)) <=> v123(constB18, 0)) | ((~v84(constB18, 2)) <=> v123(constB18, 2)) | ((~v84(constB18, 1)) <=> v123(constB18, 1)))),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3900, 3893])).
% 14.16/9.34 tff(3902,plain,
% 14.16/9.34 ((((~v84(constB18, 0)) <=> v123(constB18, 0)) | ((~v84(constB18, 2)) <=> v123(constB18, 2)) | ((~v84(constB18, 1)) <=> v123(constB18, 1))) | (~((~v84(constB18, 2)) <=> v123(constB18, 2)))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3903,plain,
% 14.16/9.34 (~((~v84(constB18, 2)) <=> v123(constB18, 2))),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3902, 3901])).
% 14.16/9.34 tff(3904,plain,
% 14.16/9.34 (((~v84(constB18, 2)) <=> v123(constB18, 2)) | (~v84(constB18, 2)) | v123(constB18, 2)),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3905,plain,
% 14.16/9.34 (~v84(constB18, 2)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3904, 3903, 3797])).
% 14.16/9.34 tff(3906,plain,
% 14.16/9.34 (((~v84(constB19, 2)) <=> v84(constB18, 2)) | (~v84(constB19, 2)) | v84(constB18, 2)),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3907,plain,
% 14.16/9.34 (~v84(constB19, 2)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3906, 3905, 1697])).
% 14.16/9.34 tff(3908,plain,
% 14.16/9.34 ((((~v84(constB19, 1)) <=> v84(constB18, 1)) | ((~v84(constB19, 2)) <=> v84(constB18, 2)) | ((~v84(constB19, 0)) <=> v84(constB18, 0))) | (~((~v84(constB19, 0)) <=> v84(constB18, 0)))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3909,plain,
% 14.16/9.34 (~((~v84(constB19, 0)) <=> v84(constB18, 0))),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3908, 1695])).
% 14.16/9.34 tff(3910,plain,
% 14.16/9.34 ((((~v123(constB18, 2)) <=> v121(constB17, 2)) | ((~v123(constB18, 1)) <=> v121(constB17, 1)) | ((~v123(constB18, 0)) <=> v121(constB17, 0))) | (~((~v123(constB18, 0)) <=> v121(constB17, 0)))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3911,plain,
% 14.16/9.34 (~((~v123(constB18, 0)) <=> v121(constB17, 0))),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3910, 1704])).
% 14.16/9.34 tff(3912,plain,
% 14.16/9.34 ((((~v121(constB17, 2)) <=> v124(constB17, 2)) | ((~v121(constB17, 0)) <=> v124(constB17, 0)) | ((~v121(constB17, 1)) <=> v124(constB17, 1))) | (~((~v121(constB17, 0)) <=> v124(constB17, 0)))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3913,plain,
% 14.16/9.34 (~((~v121(constB17, 0)) <=> v124(constB17, 0))),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3912, 1718])).
% 14.16/9.34 tff(3914,plain,
% 14.16/9.34 ((v124(constB17, 2) | v124(constB17, 0) | (~v124(constB17, 1))) | (~v124(constB17, 0))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3915,plain,
% 14.16/9.34 (~v124(constB17, 0)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3914, 3791])).
% 14.16/9.34 tff(3916,plain,
% 14.16/9.34 (((~v121(constB17, 0)) <=> v124(constB17, 0)) | (~v121(constB17, 0)) | v124(constB17, 0)),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3917,plain,
% 14.16/9.34 (~v121(constB17, 0)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3916, 3915, 3913])).
% 14.16/9.34 tff(3918,plain,
% 14.16/9.34 (((~v123(constB18, 0)) <=> v121(constB17, 0)) | (~v123(constB18, 0)) | v121(constB17, 0)),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3919,plain,
% 14.16/9.34 (~v123(constB18, 0)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3918, 3917, 3911])).
% 14.16/9.34 tff(3920,plain,
% 14.16/9.34 ((((~v84(constB18, 0)) <=> v123(constB18, 0)) | ((~v84(constB18, 2)) <=> v123(constB18, 2)) | ((~v84(constB18, 1)) <=> v123(constB18, 1))) | (~((~v84(constB18, 0)) <=> v123(constB18, 0)))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3921,plain,
% 14.16/9.34 (~((~v84(constB18, 0)) <=> v123(constB18, 0))),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3920, 3901])).
% 14.16/9.34 tff(3922,plain,
% 14.16/9.34 (((~v84(constB18, 0)) <=> v123(constB18, 0)) | (~v84(constB18, 0)) | v123(constB18, 0)),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3923,plain,
% 14.16/9.34 (~v84(constB18, 0)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3922, 3921, 3919])).
% 14.16/9.34 tff(3924,plain,
% 14.16/9.34 (((~v84(constB19, 0)) <=> v84(constB18, 0)) | (~v84(constB19, 0)) | v84(constB18, 0)),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3925,plain,
% 14.16/9.34 (~v84(constB19, 0)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3924, 3923, 3909])).
% 14.16/9.34 tff(3926,plain,
% 14.16/9.34 ((((~v84(constB19, 1)) <=> v84(constB18, 1)) | ((~v84(constB19, 2)) <=> v84(constB18, 2)) | ((~v84(constB19, 0)) <=> v84(constB18, 0))) | (~((~v84(constB19, 1)) <=> v84(constB18, 1)))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3927,plain,
% 14.16/9.34 (~((~v84(constB19, 1)) <=> v84(constB18, 1))),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3926, 1695])).
% 14.16/9.34 tff(3928,plain,
% 14.16/9.34 ((((~v123(constB18, 2)) <=> v121(constB17, 2)) | ((~v123(constB18, 1)) <=> v121(constB17, 1)) | ((~v123(constB18, 0)) <=> v121(constB17, 0))) | (~((~v123(constB18, 1)) <=> v121(constB17, 1)))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3929,plain,
% 14.16/9.34 (~((~v123(constB18, 1)) <=> v121(constB17, 1))),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3928, 1704])).
% 14.16/9.34 tff(3930,plain,
% 14.16/9.34 ((((~v121(constB17, 2)) <=> v124(constB17, 2)) | ((~v121(constB17, 0)) <=> v124(constB17, 0)) | ((~v121(constB17, 1)) <=> v124(constB17, 1))) | (~((~v121(constB17, 1)) <=> v124(constB17, 1)))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3931,plain,
% 14.16/9.34 (~((~v121(constB17, 1)) <=> v124(constB17, 1))),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3930, 1718])).
% 14.16/9.34 tff(3932,plain,
% 14.16/9.34 ((v124(constB17, 2) | v124(constB17, 0) | (~v124(constB17, 1))) | v124(constB17, 1)),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3933,plain,
% 14.16/9.34 (v124(constB17, 1)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3932, 3791])).
% 14.16/9.34 tff(3934,plain,
% 14.16/9.34 (((~v121(constB17, 1)) <=> v124(constB17, 1)) | v121(constB17, 1) | (~v124(constB17, 1))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3935,plain,
% 14.16/9.34 (v121(constB17, 1)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3934, 3933, 3931])).
% 14.16/9.34 tff(3936,plain,
% 14.16/9.34 (((~v123(constB18, 1)) <=> v121(constB17, 1)) | v123(constB18, 1) | (~v121(constB17, 1))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3937,plain,
% 14.16/9.34 (v123(constB18, 1)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3936, 3935, 3929])).
% 14.16/9.34 tff(3938,plain,
% 14.16/9.34 ((((~v84(constB18, 0)) <=> v123(constB18, 0)) | ((~v84(constB18, 2)) <=> v123(constB18, 2)) | ((~v84(constB18, 1)) <=> v123(constB18, 1))) | (~((~v84(constB18, 1)) <=> v123(constB18, 1)))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3939,plain,
% 14.16/9.34 (~((~v84(constB18, 1)) <=> v123(constB18, 1))),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3938, 3901])).
% 14.16/9.34 tff(3940,plain,
% 14.16/9.34 (((~v84(constB18, 1)) <=> v123(constB18, 1)) | v84(constB18, 1) | (~v123(constB18, 1))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3941,plain,
% 14.16/9.34 (v84(constB18, 1)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3940, 3939, 3937])).
% 14.16/9.34 tff(3942,plain,
% 14.16/9.34 (((~v84(constB19, 1)) <=> v84(constB18, 1)) | v84(constB19, 1) | (~v84(constB18, 1))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3943,plain,
% 14.16/9.34 (v84(constB19, 1)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3942, 3941, 3927])).
% 14.16/9.34 tff(3944,plain,
% 14.16/9.34 ((~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))) | v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3945,plain,
% 14.16/9.34 (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3944, 3943, 3925, 3907])).
% 14.16/9.34 tff(3946,plain,
% 14.16/9.34 ((~(v115(constB19) <=> (~(v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))))) | v115(constB19) | (v84(constB19, 2) | v84(constB19, 0) | (~v84(constB19, 1)))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3947,plain,
% 14.16/9.34 (v115(constB19)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3946, 3945, 1661])).
% 14.16/9.34 tff(3948,plain,
% 14.16/9.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB19)) | (~(v124(constB19, 2) | (~v124(constB19, 0)) | (~v124(constB19, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB19)) | (~(v124(constB19, 2) | (~v124(constB19, 0)) | (~v124(constB19, 1)))))),
% 14.16/9.34 inference(rewrite,[status(thm)],[])).
% 14.16/9.34 tff(3949,plain,
% 14.16/9.34 (((~v115(constB19)) | (~(v124(constB19, 2) | (~v124(constB19, 1)) | (~v124(constB19, 0))))) <=> ((~v115(constB19)) | (~(v124(constB19, 2) | (~v124(constB19, 0)) | (~v124(constB19, 1)))))),
% 14.16/9.34 inference(rewrite,[status(thm)],[])).
% 14.16/9.34 tff(3950,plain,
% 14.16/9.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB19)) | (~(v124(constB19, 2) | (~v124(constB19, 1)) | (~v124(constB19, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB19)) | (~(v124(constB19, 2) | (~v124(constB19, 0)) | (~v124(constB19, 1))))))),
% 14.16/9.34 inference(monotonicity,[status(thm)],[3949])).
% 14.16/9.34 tff(3951,plain,
% 14.16/9.34 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB19)) | (~(v124(constB19, 2) | (~v124(constB19, 1)) | (~v124(constB19, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB19)) | (~(v124(constB19, 2) | (~v124(constB19, 0)) | (~v124(constB19, 1)))))),
% 14.16/9.34 inference(transitivity,[status(thm)],[3950, 3948])).
% 14.16/9.34 tff(3952,plain,
% 14.16/9.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB19)) | (~(v124(constB19, 2) | (~v124(constB19, 1)) | (~v124(constB19, 0)))))),
% 14.16/9.34 inference(quant_inst,[status(thm)],[])).
% 14.16/9.34 tff(3953,plain,
% 14.16/9.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB19)) | (~(v124(constB19, 2) | (~v124(constB19, 0)) | (~v124(constB19, 1))))),
% 14.16/9.34 inference(modus_ponens,[status(thm)],[3952, 3951])).
% 14.16/9.34 tff(3954,plain,
% 14.16/9.34 ((~v115(constB19)) | (~(v124(constB19, 2) | (~v124(constB19, 0)) | (~v124(constB19, 1))))),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3953, 3138])).
% 14.16/9.34 tff(3955,plain,
% 14.16/9.34 (~(v124(constB19, 2) | (~v124(constB19, 0)) | (~v124(constB19, 1)))),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3954, 3947])).
% 14.16/9.34 tff(3956,plain,
% 14.16/9.34 ((v124(constB19, 2) | (~v124(constB19, 0)) | (~v124(constB19, 1))) | (~v124(constB19, 2))),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3957,plain,
% 14.16/9.34 (~v124(constB19, 2)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3956, 3955])).
% 14.16/9.34 tff(3958,plain,
% 14.16/9.34 (((~v121(constB19, 2)) <=> v124(constB19, 2)) | (~v121(constB19, 2)) | v124(constB19, 2)),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3959,plain,
% 14.16/9.34 (~v121(constB19, 2)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3958, 3957, 1654])).
% 14.16/9.34 tff(3960,plain,
% 14.16/9.34 (((~v123(constB20, 2)) <=> v121(constB19, 2)) | (~v123(constB20, 2)) | v121(constB19, 2)),
% 14.16/9.34 inference(tautology,[status(thm)],[])).
% 14.16/9.34 tff(3961,plain,
% 14.16/9.34 (~v123(constB20, 2)),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3960, 3959, 1640])).
% 14.16/9.34 tff(3962,plain,
% 14.16/9.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB19, constB20)) | (v94(constB20) <=> (~((~v95(constB20)) | (~v104(constB20))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB19, constB20)) | (v94(constB20) <=> (~((~v95(constB20)) | (~v104(constB20))))))),
% 14.16/9.34 inference(rewrite,[status(thm)],[])).
% 14.16/9.34 tff(3963,plain,
% 14.16/9.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB19, constB20)) | (v94(constB20) <=> (~((~v95(constB20)) | (~v104(constB20))))))),
% 14.16/9.34 inference(quant_inst,[status(thm)],[])).
% 14.16/9.34 tff(3964,plain,
% 14.16/9.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB19, constB20)) | (v94(constB20) <=> (~((~v95(constB20)) | (~v104(constB20)))))),
% 14.16/9.34 inference(modus_ponens,[status(thm)],[3963, 3962])).
% 14.16/9.34 tff(3965,plain,
% 14.16/9.34 (v94(constB20) <=> (~((~v95(constB20)) | (~v104(constB20))))),
% 14.16/9.34 inference(unit_resolution,[status(thm)],[3964, 1634, 770])).
% 14.16/9.34 tff(3966,plain,
% 14.16/9.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20))))))),
% 14.16/9.34 inference(rewrite,[status(thm)],[])).
% 14.16/9.34 tff(3967,plain,
% 14.16/9.34 (((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v96(constB20)) | (~v1(constB20)))))) <=> ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20))))))),
% 14.16/9.34 inference(rewrite,[status(thm)],[])).
% 14.16/9.34 tff(3968,plain,
% 14.16/9.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v96(constB20)) | (~v1(constB20))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20)))))))),
% 14.16/9.34 inference(monotonicity,[status(thm)],[3967])).
% 14.16/9.34 tff(3969,plain,
% 14.16/9.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v96(constB20)) | (~v1(constB20))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20))))))),
% 14.16/9.34 inference(transitivity,[status(thm)],[3968, 3966])).
% 14.16/9.34 tff(3970,plain,
% 14.16/9.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v96(constB20)) | (~v1(constB20))))))),
% 14.16/9.34 inference(quant_inst,[status(thm)],[])).
% 14.16/9.34 tff(3971,plain,
% 14.16/9.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20)))))),
% 14.16/9.34 inference(modus_ponens,[status(thm)],[3970, 3969])).
% 14.16/9.34 tff(3972,plain,
% 14.16/9.34 (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20))))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[3971, 1634, 790])).
% 14.16/9.35 tff(3973,plain,
% 14.16/9.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB19, constB20)) | ((~v96(constB20)) <=> v98(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB19, constB20)) | ((~v96(constB20)) <=> v98(constB20)))),
% 14.16/9.35 inference(rewrite,[status(thm)],[])).
% 14.16/9.35 tff(3974,plain,
% 14.16/9.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB19, constB20)) | ((~v96(constB20)) <=> v98(constB20)))),
% 14.16/9.35 inference(quant_inst,[status(thm)],[])).
% 14.16/9.35 tff(3975,plain,
% 14.16/9.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB19, constB20)) | ((~v96(constB20)) <=> v98(constB20))),
% 14.16/9.35 inference(modus_ponens,[status(thm)],[3974, 3973])).
% 14.16/9.35 tff(3976,plain,
% 14.16/9.35 ((~v96(constB20)) <=> v98(constB20)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[3975, 1634, 2332])).
% 14.16/9.35 tff(3977,plain,
% 14.16/9.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v98(constB20) <=> v1(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v98(constB20) <=> v1(constB19)))),
% 14.16/9.35 inference(rewrite,[status(thm)],[])).
% 14.16/9.35 tff(3978,plain,
% 14.16/9.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v98(constB20) <=> v1(constB19)))),
% 14.16/9.35 inference(quant_inst,[status(thm)],[])).
% 14.16/9.35 tff(3979,plain,
% 14.16/9.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v98(constB20) <=> v1(constB19))),
% 14.16/9.35 inference(modus_ponens,[status(thm)],[3978, 3977])).
% 14.16/9.35 tff(3980,plain,
% 14.16/9.35 (v98(constB20) <=> v1(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[3979, 1634, 2346])).
% 14.16/9.35 tff(3981,plain,
% 14.16/9.35 ((~(v98(constB20) <=> v1(constB19))) | (~v98(constB20)) | v1(constB19)),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(3982,plain,
% 14.16/9.35 ((~(v98(constB20) <=> v1(constB19))) | (~v98(constB20))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[3981, 1678])).
% 14.16/9.35 tff(3983,plain,
% 14.16/9.35 (~v98(constB20)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[3982, 3980])).
% 14.16/9.35 tff(3984,plain,
% 14.16/9.35 ((~((~v96(constB20)) <=> v98(constB20))) | v96(constB20) | v98(constB20)),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(3985,plain,
% 14.16/9.35 (v96(constB20)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[3984, 3983, 3976])).
% 14.16/9.35 tff(3986,plain,
% 14.16/9.35 (v1(constB20) <=> v1(constB20)),
% 14.16/9.35 inference(rewrite,[status(thm)],[])).
% 14.16/9.35 tff(3987,axiom,(v1(constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_20')).
% 14.16/9.35 tff(3988,plain,
% 14.16/9.35 (v1(constB20)),
% 14.16/9.35 inference(modus_ponens,[status(thm)],[3987, 3986])).
% 14.16/9.35 tff(3989,plain,
% 14.16/9.35 ((~((~v1(constB20)) | (~v96(constB20)))) | (~v1(constB20)) | (~v96(constB20))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(3990,plain,
% 14.16/9.35 ((~((~v1(constB20)) | (~v96(constB20)))) | (~v96(constB20))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[3989, 3988])).
% 14.16/9.35 tff(3991,plain,
% 14.16/9.35 (~((~v1(constB20)) | (~v96(constB20)))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[3990, 3985])).
% 14.16/9.35 tff(3992,plain,
% 14.16/9.35 ((~(v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20)))))) | v95(constB20) | ((~v1(constB20)) | (~v96(constB20)))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(3993,plain,
% 14.16/9.35 (v95(constB20)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[3992, 3991, 3972])).
% 14.16/9.35 tff(3994,plain,
% 14.16/9.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v102(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v102(constB19)))),
% 14.16/9.35 inference(rewrite,[status(thm)],[])).
% 14.16/9.35 tff(3995,plain,
% 14.16/9.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v102(constB19)))),
% 14.16/9.35 inference(quant_inst,[status(thm)],[])).
% 14.16/9.35 tff(3996,plain,
% 14.16/9.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v102(constB19))),
% 14.16/9.35 inference(modus_ponens,[status(thm)],[3995, 3994])).
% 14.16/9.35 tff(3997,plain,
% 14.16/9.35 (v104(constB20) <=> v102(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[3996, 1634, 2373])).
% 14.16/9.35 tff(3998,plain,
% 14.16/9.35 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB19) <=> (v105(constB19) | v106(constB19)))),
% 14.16/9.35 inference(quant_inst,[status(thm)],[])).
% 14.16/9.35 tff(3999,plain,
% 14.16/9.35 (v102(constB19) <=> (v105(constB19) | v106(constB19))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[3998, 2384])).
% 14.16/9.35 tff(4000,plain,
% 14.16/9.35 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB19) <=> (~((~v107(constB19)) | (~v120(constB19)))))),
% 14.16/9.35 inference(quant_inst,[status(thm)],[])).
% 14.16/9.35 tff(4001,plain,
% 14.16/9.35 (v106(constB19) <=> (~((~v107(constB19)) | (~v120(constB19))))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4000, 2396])).
% 14.16/9.35 tff(4002,plain,
% 14.16/9.35 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB19) <=> (v108(constB19) | v119(constB19)))),
% 14.16/9.35 inference(quant_inst,[status(thm)],[])).
% 14.16/9.35 tff(4003,plain,
% 14.16/9.35 (v107(constB19) <=> (v108(constB19) | v119(constB19))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4002, 2405])).
% 14.16/9.35 tff(4004,plain,
% 14.16/9.35 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB19) <=> (v109(constB19) | v118(constB19)))),
% 14.16/9.35 inference(quant_inst,[status(thm)],[])).
% 14.16/9.35 tff(4005,plain,
% 14.16/9.35 (v108(constB19) <=> (v109(constB19) | v118(constB19))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4004, 2414])).
% 14.16/9.35 tff(4006,plain,
% 14.16/9.35 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB19) <=> (v110(constB19) | v117(constB19)))),
% 14.16/9.35 inference(quant_inst,[status(thm)],[])).
% 14.16/9.35 tff(4007,plain,
% 14.16/9.35 (v109(constB19) <=> (v110(constB19) | v117(constB19))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4006, 2423])).
% 14.16/9.35 tff(4008,plain,
% 14.16/9.35 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB19) <=> (v111(constB19) | v116(constB19)))),
% 14.16/9.35 inference(quant_inst,[status(thm)],[])).
% 14.16/9.35 tff(4009,plain,
% 14.16/9.35 (v110(constB19) <=> (v111(constB19) | v116(constB19))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4008, 2432])).
% 14.16/9.35 tff(4010,plain,
% 14.16/9.35 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB19) <=> (v112(constB19) | v115(constB19)))),
% 14.16/9.35 inference(quant_inst,[status(thm)],[])).
% 14.16/9.35 tff(4011,plain,
% 14.16/9.35 (v111(constB19) <=> (v112(constB19) | v115(constB19))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4010, 2441])).
% 14.16/9.35 tff(4012,plain,
% 14.16/9.35 ((v112(constB19) | v115(constB19)) | (~v115(constB19))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4013,plain,
% 14.16/9.35 (v112(constB19) | v115(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4012, 3947])).
% 14.16/9.35 tff(4014,plain,
% 14.16/9.35 ((~(v111(constB19) <=> (v112(constB19) | v115(constB19)))) | v111(constB19) | (~(v112(constB19) | v115(constB19)))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4015,plain,
% 14.16/9.35 (v111(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4014, 4013, 4011])).
% 14.16/9.35 tff(4016,plain,
% 14.16/9.35 ((v111(constB19) | v116(constB19)) | (~v111(constB19))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4017,plain,
% 14.16/9.35 (v111(constB19) | v116(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4016, 4015])).
% 14.16/9.35 tff(4018,plain,
% 14.16/9.35 ((~(v110(constB19) <=> (v111(constB19) | v116(constB19)))) | v110(constB19) | (~(v111(constB19) | v116(constB19)))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4019,plain,
% 14.16/9.35 (v110(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4018, 4017, 4009])).
% 14.16/9.35 tff(4020,plain,
% 14.16/9.35 ((v110(constB19) | v117(constB19)) | (~v110(constB19))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4021,plain,
% 14.16/9.35 (v110(constB19) | v117(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4020, 4019])).
% 14.16/9.35 tff(4022,plain,
% 14.16/9.35 ((~(v109(constB19) <=> (v110(constB19) | v117(constB19)))) | v109(constB19) | (~(v110(constB19) | v117(constB19)))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4023,plain,
% 14.16/9.35 (v109(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4022, 4021, 4007])).
% 14.16/9.35 tff(4024,plain,
% 14.16/9.35 ((v109(constB19) | v118(constB19)) | (~v109(constB19))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4025,plain,
% 14.16/9.35 (v109(constB19) | v118(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4024, 4023])).
% 14.16/9.35 tff(4026,plain,
% 14.16/9.35 ((~(v108(constB19) <=> (v109(constB19) | v118(constB19)))) | v108(constB19) | (~(v109(constB19) | v118(constB19)))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4027,plain,
% 14.16/9.35 (v108(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4026, 4025, 4005])).
% 14.16/9.35 tff(4028,plain,
% 14.16/9.35 ((v108(constB19) | v119(constB19)) | (~v108(constB19))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4029,plain,
% 14.16/9.35 (v108(constB19) | v119(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4028, 4027])).
% 14.16/9.35 tff(4030,plain,
% 14.16/9.35 ((~(v107(constB19) <=> (v108(constB19) | v119(constB19)))) | v107(constB19) | (~(v108(constB19) | v119(constB19)))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4031,plain,
% 14.16/9.35 (v107(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4030, 4029, 4003])).
% 14.16/9.35 tff(4032,plain,
% 14.16/9.35 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB19)) <=> v105(constB19))),
% 14.16/9.35 inference(quant_inst,[status(thm)],[])).
% 14.16/9.35 tff(4033,plain,
% 14.16/9.35 ((~v120(constB19)) <=> v105(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4032, 2484])).
% 14.16/9.35 tff(4034,plain,
% 14.16/9.35 ((~((~v120(constB19)) <=> v105(constB19))) | v120(constB19) | v105(constB19)),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4035,plain,
% 14.16/9.35 ((~((~v120(constB19)) <=> v105(constB19))) | v120(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4034, 1647])).
% 14.16/9.35 tff(4036,plain,
% 14.16/9.35 (v120(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4035, 4033])).
% 14.16/9.35 tff(4037,plain,
% 14.16/9.35 ((~((~v107(constB19)) | (~v120(constB19)))) | (~v107(constB19)) | (~v120(constB19))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4038,plain,
% 14.16/9.35 ((~((~v107(constB19)) | (~v120(constB19)))) | (~v107(constB19))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4037, 4036])).
% 14.16/9.35 tff(4039,plain,
% 14.16/9.35 (~((~v107(constB19)) | (~v120(constB19)))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4038, 4031])).
% 14.16/9.35 tff(4040,plain,
% 14.16/9.35 ((~(v106(constB19) <=> (~((~v107(constB19)) | (~v120(constB19)))))) | v106(constB19) | ((~v107(constB19)) | (~v120(constB19)))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4041,plain,
% 14.16/9.35 (v106(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4040, 4039, 4001])).
% 14.16/9.35 tff(4042,plain,
% 14.16/9.35 ((v105(constB19) | v106(constB19)) | (~v106(constB19))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4043,plain,
% 14.16/9.35 (v105(constB19) | v106(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4042, 4041])).
% 14.16/9.35 tff(4044,plain,
% 14.16/9.35 ((~(v102(constB19) <=> (v105(constB19) | v106(constB19)))) | v102(constB19) | (~(v105(constB19) | v106(constB19)))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4045,plain,
% 14.16/9.35 (v102(constB19)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4044, 4043, 3999])).
% 14.16/9.35 tff(4046,plain,
% 14.16/9.35 ((~(v104(constB20) <=> v102(constB19))) | v104(constB20) | (~v102(constB19))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4047,plain,
% 14.16/9.35 (v104(constB20)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4046, 4045, 3997])).
% 14.16/9.35 tff(4048,plain,
% 14.16/9.35 ((~((~v95(constB20)) | (~v104(constB20)))) | (~v95(constB20)) | (~v104(constB20))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4049,plain,
% 14.16/9.35 (~((~v95(constB20)) | (~v104(constB20)))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4048, 4047, 3993])).
% 14.16/9.35 tff(4050,plain,
% 14.16/9.35 ((~(v94(constB20) <=> (~((~v95(constB20)) | (~v104(constB20)))))) | v94(constB20) | ((~v95(constB20)) | (~v104(constB20)))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4051,plain,
% 14.16/9.35 (v94(constB20)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4050, 4049, 3965])).
% 14.16/9.35 tff(4052,plain,
% 14.16/9.35 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB20)) | (~(((~v84(constB20, 2)) <=> v123(constB20, 2)) | ((~v84(constB20, 1)) <=> v123(constB20, 1)) | ((~v84(constB20, 0)) <=> v123(constB20, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB20)) | (~(((~v84(constB20, 2)) <=> v123(constB20, 2)) | ((~v84(constB20, 1)) <=> v123(constB20, 1)) | ((~v84(constB20, 0)) <=> v123(constB20, 0)))))),
% 14.16/9.35 inference(rewrite,[status(thm)],[])).
% 14.16/9.35 tff(4053,plain,
% 14.16/9.35 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB20)) | (~(((~v84(constB20, 2)) <=> v123(constB20, 2)) | ((~v84(constB20, 1)) <=> v123(constB20, 1)) | ((~v84(constB20, 0)) <=> v123(constB20, 0)))))),
% 14.16/9.35 inference(quant_inst,[status(thm)],[])).
% 14.16/9.35 tff(4054,plain,
% 14.16/9.35 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB20)) | (~(((~v84(constB20, 2)) <=> v123(constB20, 2)) | ((~v84(constB20, 1)) <=> v123(constB20, 1)) | ((~v84(constB20, 0)) <=> v123(constB20, 0))))),
% 14.16/9.35 inference(modus_ponens,[status(thm)],[4053, 4052])).
% 14.16/9.35 tff(4055,plain,
% 14.16/9.35 ((~v94(constB20)) | (~(((~v84(constB20, 2)) <=> v123(constB20, 2)) | ((~v84(constB20, 1)) <=> v123(constB20, 1)) | ((~v84(constB20, 0)) <=> v123(constB20, 0))))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4054, 2517])).
% 14.16/9.35 tff(4056,plain,
% 14.16/9.35 (~(((~v84(constB20, 2)) <=> v123(constB20, 2)) | ((~v84(constB20, 1)) <=> v123(constB20, 1)) | ((~v84(constB20, 0)) <=> v123(constB20, 0)))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4055, 4051])).
% 14.16/9.35 tff(4057,plain,
% 14.16/9.35 ((((~v84(constB20, 2)) <=> v123(constB20, 2)) | ((~v84(constB20, 1)) <=> v123(constB20, 1)) | ((~v84(constB20, 0)) <=> v123(constB20, 0))) | (~((~v84(constB20, 2)) <=> v123(constB20, 2)))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4058,plain,
% 14.16/9.35 (~((~v84(constB20, 2)) <=> v123(constB20, 2))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4057, 4056])).
% 14.16/9.35 tff(4059,plain,
% 14.16/9.35 (((~v84(constB20, 2)) <=> v123(constB20, 2)) | (~v84(constB20, 2)) | v123(constB20, 2)),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4060,plain,
% 14.16/9.35 (~v84(constB20, 2)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4059, 4058, 3961])).
% 14.16/9.35 tff(4061,plain,
% 14.16/9.35 (((~v84(constB21, 2)) <=> v84(constB20, 2)) | (~v84(constB21, 2)) | v84(constB20, 2)),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4062,plain,
% 14.16/9.35 (~v84(constB21, 2)),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4061, 4060, 1631])).
% 14.16/9.35 tff(4063,plain,
% 14.16/9.35 ((((~v84(constB21, 1)) <=> v84(constB20, 1)) | ((~v84(constB21, 2)) <=> v84(constB20, 2)) | ((~v84(constB21, 0)) <=> v84(constB20, 0))) | (~((~v84(constB21, 0)) <=> v84(constB20, 0)))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.35 tff(4064,plain,
% 14.16/9.35 (~((~v84(constB21, 0)) <=> v84(constB20, 0))),
% 14.16/9.35 inference(unit_resolution,[status(thm)],[4063, 1629])).
% 14.16/9.35 tff(4065,plain,
% 14.16/9.35 ((((~v123(constB20, 2)) <=> v121(constB19, 2)) | ((~v123(constB20, 1)) <=> v121(constB19, 1)) | ((~v123(constB20, 0)) <=> v121(constB19, 0))) | (~((~v123(constB20, 0)) <=> v121(constB19, 0)))),
% 14.16/9.35 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4066,plain,
% 14.16/9.36 (~((~v123(constB20, 0)) <=> v121(constB19, 0))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4065, 1638])).
% 14.16/9.36 tff(4067,plain,
% 14.16/9.36 ((((~v121(constB19, 2)) <=> v124(constB19, 2)) | ((~v121(constB19, 0)) <=> v124(constB19, 0)) | ((~v121(constB19, 1)) <=> v124(constB19, 1))) | (~((~v121(constB19, 0)) <=> v124(constB19, 0)))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4068,plain,
% 14.16/9.36 (~((~v121(constB19, 0)) <=> v124(constB19, 0))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4067, 1652])).
% 14.16/9.36 tff(4069,plain,
% 14.16/9.36 ((v124(constB19, 2) | (~v124(constB19, 0)) | (~v124(constB19, 1))) | v124(constB19, 0)),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4070,plain,
% 14.16/9.36 (v124(constB19, 0)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4069, 3955])).
% 14.16/9.36 tff(4071,plain,
% 14.16/9.36 (((~v121(constB19, 0)) <=> v124(constB19, 0)) | v121(constB19, 0) | (~v124(constB19, 0))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4072,plain,
% 14.16/9.36 (v121(constB19, 0)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4071, 4070, 4068])).
% 14.16/9.36 tff(4073,plain,
% 14.16/9.36 (((~v123(constB20, 0)) <=> v121(constB19, 0)) | v123(constB20, 0) | (~v121(constB19, 0))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4074,plain,
% 14.16/9.36 (v123(constB20, 0)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4073, 4072, 4066])).
% 14.16/9.36 tff(4075,plain,
% 14.16/9.36 ((((~v84(constB20, 2)) <=> v123(constB20, 2)) | ((~v84(constB20, 1)) <=> v123(constB20, 1)) | ((~v84(constB20, 0)) <=> v123(constB20, 0))) | (~((~v84(constB20, 0)) <=> v123(constB20, 0)))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4076,plain,
% 14.16/9.36 (~((~v84(constB20, 0)) <=> v123(constB20, 0))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4075, 4056])).
% 14.16/9.36 tff(4077,plain,
% 14.16/9.36 (((~v84(constB20, 0)) <=> v123(constB20, 0)) | v84(constB20, 0) | (~v123(constB20, 0))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4078,plain,
% 14.16/9.36 (v84(constB20, 0)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4077, 4076, 4074])).
% 14.16/9.36 tff(4079,plain,
% 14.16/9.36 (((~v84(constB21, 0)) <=> v84(constB20, 0)) | v84(constB21, 0) | (~v84(constB20, 0))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4080,plain,
% 14.16/9.36 (v84(constB21, 0)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4079, 4078, 4064])).
% 14.16/9.36 tff(4081,plain,
% 14.16/9.36 ((((~v84(constB21, 1)) <=> v84(constB20, 1)) | ((~v84(constB21, 2)) <=> v84(constB20, 2)) | ((~v84(constB21, 0)) <=> v84(constB20, 0))) | (~((~v84(constB21, 1)) <=> v84(constB20, 1)))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4082,plain,
% 14.16/9.36 (~((~v84(constB21, 1)) <=> v84(constB20, 1))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4081, 1629])).
% 14.16/9.36 tff(4083,plain,
% 14.16/9.36 ((((~v123(constB20, 2)) <=> v121(constB19, 2)) | ((~v123(constB20, 1)) <=> v121(constB19, 1)) | ((~v123(constB20, 0)) <=> v121(constB19, 0))) | (~((~v123(constB20, 1)) <=> v121(constB19, 1)))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4084,plain,
% 14.16/9.36 (~((~v123(constB20, 1)) <=> v121(constB19, 1))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4083, 1638])).
% 14.16/9.36 tff(4085,plain,
% 14.16/9.36 ((((~v121(constB19, 2)) <=> v124(constB19, 2)) | ((~v121(constB19, 0)) <=> v124(constB19, 0)) | ((~v121(constB19, 1)) <=> v124(constB19, 1))) | (~((~v121(constB19, 1)) <=> v124(constB19, 1)))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4086,plain,
% 14.16/9.36 (~((~v121(constB19, 1)) <=> v124(constB19, 1))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4085, 1652])).
% 14.16/9.36 tff(4087,plain,
% 14.16/9.36 ((v124(constB19, 2) | (~v124(constB19, 0)) | (~v124(constB19, 1))) | v124(constB19, 1)),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4088,plain,
% 14.16/9.36 (v124(constB19, 1)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4087, 3955])).
% 14.16/9.36 tff(4089,plain,
% 14.16/9.36 (((~v121(constB19, 1)) <=> v124(constB19, 1)) | v121(constB19, 1) | (~v124(constB19, 1))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4090,plain,
% 14.16/9.36 (v121(constB19, 1)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4089, 4088, 4086])).
% 14.16/9.36 tff(4091,plain,
% 14.16/9.36 (((~v123(constB20, 1)) <=> v121(constB19, 1)) | v123(constB20, 1) | (~v121(constB19, 1))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4092,plain,
% 14.16/9.36 (v123(constB20, 1)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4091, 4090, 4084])).
% 14.16/9.36 tff(4093,plain,
% 14.16/9.36 ((((~v84(constB20, 2)) <=> v123(constB20, 2)) | ((~v84(constB20, 1)) <=> v123(constB20, 1)) | ((~v84(constB20, 0)) <=> v123(constB20, 0))) | (~((~v84(constB20, 1)) <=> v123(constB20, 1)))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4094,plain,
% 14.16/9.36 (~((~v84(constB20, 1)) <=> v123(constB20, 1))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4093, 4056])).
% 14.16/9.36 tff(4095,plain,
% 14.16/9.36 (((~v84(constB20, 1)) <=> v123(constB20, 1)) | v84(constB20, 1) | (~v123(constB20, 1))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4096,plain,
% 14.16/9.36 (v84(constB20, 1)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4095, 4094, 4092])).
% 14.16/9.36 tff(4097,plain,
% 14.16/9.36 (((~v84(constB21, 1)) <=> v84(constB20, 1)) | v84(constB21, 1) | (~v84(constB20, 1))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4098,plain,
% 14.16/9.36 (v84(constB21, 1)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4097, 4096, 4082])).
% 14.16/9.36 tff(4099,plain,
% 14.16/9.36 ((~(v84(constB21, 2) | (~v84(constB21, 1)) | (~v84(constB21, 0)))) | v84(constB21, 2) | (~v84(constB21, 1)) | (~v84(constB21, 0))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4100,plain,
% 14.16/9.36 (~(v84(constB21, 2) | (~v84(constB21, 1)) | (~v84(constB21, 0)))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4099, 4098, 4080, 4062])).
% 14.16/9.36 tff(4101,plain,
% 14.16/9.36 ((~(v116(constB21) <=> (~(v84(constB21, 2) | (~v84(constB21, 1)) | (~v84(constB21, 0)))))) | v116(constB21) | (v84(constB21, 2) | (~v84(constB21, 1)) | (~v84(constB21, 0)))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4102,plain,
% 14.16/9.36 (v116(constB21)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4101, 4100, 1595])).
% 14.16/9.36 tff(4103,plain,
% 14.16/9.36 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB21)) | (~(v124(constB21, 0) | v124(constB21, 1) | (~v124(constB21, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB21)) | (~(v124(constB21, 0) | v124(constB21, 1) | (~v124(constB21, 2)))))),
% 14.16/9.36 inference(rewrite,[status(thm)],[])).
% 14.16/9.36 tff(4104,plain,
% 14.16/9.36 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB21)) | (~(v124(constB21, 0) | v124(constB21, 1) | (~v124(constB21, 2)))))),
% 14.16/9.36 inference(quant_inst,[status(thm)],[])).
% 14.16/9.36 tff(4105,plain,
% 14.16/9.36 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB21)) | (~(v124(constB21, 0) | v124(constB21, 1) | (~v124(constB21, 2))))),
% 14.16/9.36 inference(modus_ponens,[status(thm)],[4104, 4103])).
% 14.16/9.36 tff(4106,plain,
% 14.16/9.36 ((~v116(constB21)) | (~(v124(constB21, 0) | v124(constB21, 1) | (~v124(constB21, 2))))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4105, 3309])).
% 14.16/9.36 tff(4107,plain,
% 14.16/9.36 (~(v124(constB21, 0) | v124(constB21, 1) | (~v124(constB21, 2)))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4106, 4102])).
% 14.16/9.36 tff(4108,plain,
% 14.16/9.36 ((v124(constB21, 0) | v124(constB21, 1) | (~v124(constB21, 2))) | v124(constB21, 2)),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4109,plain,
% 14.16/9.36 (v124(constB21, 2)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4108, 4107])).
% 14.16/9.36 tff(4110,plain,
% 14.16/9.36 (((~v121(constB21, 2)) <=> v124(constB21, 2)) | v121(constB21, 2) | (~v124(constB21, 2))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4111,plain,
% 14.16/9.36 (v121(constB21, 2)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4110, 4109, 1593])).
% 14.16/9.36 tff(4112,plain,
% 14.16/9.36 (((~v123(constB22, 2)) <=> v121(constB21, 2)) | v123(constB22, 2) | (~v121(constB21, 2))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4113,plain,
% 14.16/9.36 (v123(constB22, 2)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4112, 4111, 1579])).
% 14.16/9.36 tff(4114,plain,
% 14.16/9.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB21, constB22)) | (v94(constB22) <=> (~((~v95(constB22)) | (~v104(constB22))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB21, constB22)) | (v94(constB22) <=> (~((~v95(constB22)) | (~v104(constB22))))))),
% 14.16/9.36 inference(rewrite,[status(thm)],[])).
% 14.16/9.36 tff(4115,plain,
% 14.16/9.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB21, constB22)) | (v94(constB22) <=> (~((~v95(constB22)) | (~v104(constB22))))))),
% 14.16/9.36 inference(quant_inst,[status(thm)],[])).
% 14.16/9.36 tff(4116,plain,
% 14.16/9.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB21, constB22)) | (v94(constB22) <=> (~((~v95(constB22)) | (~v104(constB22)))))),
% 14.16/9.36 inference(modus_ponens,[status(thm)],[4115, 4114])).
% 14.16/9.36 tff(4117,plain,
% 14.16/9.36 (v94(constB22) <=> (~((~v95(constB22)) | (~v104(constB22))))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4116, 1573, 770])).
% 14.16/9.36 tff(4118,plain,
% 14.16/9.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22))))))),
% 14.16/9.36 inference(rewrite,[status(thm)],[])).
% 14.16/9.36 tff(4119,plain,
% 14.16/9.36 (((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v96(constB22)) | (~v1(constB22)))))) <=> ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22))))))),
% 14.16/9.36 inference(rewrite,[status(thm)],[])).
% 14.16/9.36 tff(4120,plain,
% 14.16/9.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v96(constB22)) | (~v1(constB22))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22)))))))),
% 14.16/9.36 inference(monotonicity,[status(thm)],[4119])).
% 14.16/9.36 tff(4121,plain,
% 14.16/9.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v96(constB22)) | (~v1(constB22))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22))))))),
% 14.16/9.36 inference(transitivity,[status(thm)],[4120, 4118])).
% 14.16/9.36 tff(4122,plain,
% 14.16/9.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v96(constB22)) | (~v1(constB22))))))),
% 14.16/9.36 inference(quant_inst,[status(thm)],[])).
% 14.16/9.36 tff(4123,plain,
% 14.16/9.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22)))))),
% 14.16/9.36 inference(modus_ponens,[status(thm)],[4122, 4121])).
% 14.16/9.36 tff(4124,plain,
% 14.16/9.36 (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22))))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4123, 1573, 790])).
% 14.16/9.36 tff(4125,plain,
% 14.16/9.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB21, constB22)) | ((~v96(constB22)) <=> v98(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB21, constB22)) | ((~v96(constB22)) <=> v98(constB22)))),
% 14.16/9.36 inference(rewrite,[status(thm)],[])).
% 14.16/9.36 tff(4126,plain,
% 14.16/9.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB21, constB22)) | ((~v96(constB22)) <=> v98(constB22)))),
% 14.16/9.36 inference(quant_inst,[status(thm)],[])).
% 14.16/9.36 tff(4127,plain,
% 14.16/9.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB21, constB22)) | ((~v96(constB22)) <=> v98(constB22))),
% 14.16/9.36 inference(modus_ponens,[status(thm)],[4126, 4125])).
% 14.16/9.36 tff(4128,plain,
% 14.16/9.36 ((~v96(constB22)) <=> v98(constB22)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4127, 1573, 2332])).
% 14.16/9.36 tff(4129,plain,
% 14.16/9.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v98(constB22) <=> v1(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v98(constB22) <=> v1(constB21)))),
% 14.16/9.36 inference(rewrite,[status(thm)],[])).
% 14.16/9.36 tff(4130,plain,
% 14.16/9.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v98(constB22) <=> v1(constB21)))),
% 14.16/9.36 inference(quant_inst,[status(thm)],[])).
% 14.16/9.36 tff(4131,plain,
% 14.16/9.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v98(constB22) <=> v1(constB21))),
% 14.16/9.36 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 14.16/9.36 tff(4132,plain,
% 14.16/9.36 (v98(constB22) <=> v1(constB21)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4131, 1573, 2346])).
% 14.16/9.36 tff(4133,plain,
% 14.16/9.36 ((~(v98(constB22) <=> v1(constB21))) | (~v98(constB22)) | v1(constB21)),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4134,plain,
% 14.16/9.36 ((~(v98(constB22) <=> v1(constB21))) | (~v98(constB22))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4133, 1612])).
% 14.16/9.36 tff(4135,plain,
% 14.16/9.36 (~v98(constB22)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4134, 4132])).
% 14.16/9.36 tff(4136,plain,
% 14.16/9.36 ((~((~v96(constB22)) <=> v98(constB22))) | v96(constB22) | v98(constB22)),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4137,plain,
% 14.16/9.36 (v96(constB22)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4136, 4135, 4128])).
% 14.16/9.36 tff(4138,plain,
% 14.16/9.36 (v1(constB22) <=> v1(constB22)),
% 14.16/9.36 inference(rewrite,[status(thm)],[])).
% 14.16/9.36 tff(4139,axiom,(v1(constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_22')).
% 14.16/9.36 tff(4140,plain,
% 14.16/9.36 (v1(constB22)),
% 14.16/9.36 inference(modus_ponens,[status(thm)],[4139, 4138])).
% 14.16/9.36 tff(4141,plain,
% 14.16/9.36 ((~((~v1(constB22)) | (~v96(constB22)))) | (~v1(constB22)) | (~v96(constB22))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4142,plain,
% 14.16/9.36 ((~((~v1(constB22)) | (~v96(constB22)))) | (~v96(constB22))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4141, 4140])).
% 14.16/9.36 tff(4143,plain,
% 14.16/9.36 (~((~v1(constB22)) | (~v96(constB22)))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4142, 4137])).
% 14.16/9.36 tff(4144,plain,
% 14.16/9.36 ((~(v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22)))))) | v95(constB22) | ((~v1(constB22)) | (~v96(constB22)))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4145,plain,
% 14.16/9.36 (v95(constB22)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4144, 4143, 4124])).
% 14.16/9.36 tff(4146,plain,
% 14.16/9.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v102(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v102(constB21)))),
% 14.16/9.36 inference(rewrite,[status(thm)],[])).
% 14.16/9.36 tff(4147,plain,
% 14.16/9.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v102(constB21)))),
% 14.16/9.36 inference(quant_inst,[status(thm)],[])).
% 14.16/9.36 tff(4148,plain,
% 14.16/9.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v102(constB21))),
% 14.16/9.36 inference(modus_ponens,[status(thm)],[4147, 4146])).
% 14.16/9.36 tff(4149,plain,
% 14.16/9.36 (v104(constB22) <=> v102(constB21)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4148, 1573, 2373])).
% 14.16/9.36 tff(4150,plain,
% 14.16/9.36 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB21) <=> (v105(constB21) | v106(constB21)))),
% 14.16/9.36 inference(quant_inst,[status(thm)],[])).
% 14.16/9.36 tff(4151,plain,
% 14.16/9.36 (v102(constB21) <=> (v105(constB21) | v106(constB21))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4150, 2384])).
% 14.16/9.36 tff(4152,plain,
% 14.16/9.36 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB21) <=> (~((~v107(constB21)) | (~v120(constB21)))))),
% 14.16/9.36 inference(quant_inst,[status(thm)],[])).
% 14.16/9.36 tff(4153,plain,
% 14.16/9.36 (v106(constB21) <=> (~((~v107(constB21)) | (~v120(constB21))))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4152, 2396])).
% 14.16/9.36 tff(4154,plain,
% 14.16/9.36 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB21) <=> (v108(constB21) | v119(constB21)))),
% 14.16/9.36 inference(quant_inst,[status(thm)],[])).
% 14.16/9.36 tff(4155,plain,
% 14.16/9.36 (v107(constB21) <=> (v108(constB21) | v119(constB21))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4154, 2405])).
% 14.16/9.36 tff(4156,plain,
% 14.16/9.36 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB21) <=> (v109(constB21) | v118(constB21)))),
% 14.16/9.36 inference(quant_inst,[status(thm)],[])).
% 14.16/9.36 tff(4157,plain,
% 14.16/9.36 (v108(constB21) <=> (v109(constB21) | v118(constB21))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4156, 2414])).
% 14.16/9.36 tff(4158,plain,
% 14.16/9.36 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB21) <=> (v110(constB21) | v117(constB21)))),
% 14.16/9.36 inference(quant_inst,[status(thm)],[])).
% 14.16/9.36 tff(4159,plain,
% 14.16/9.36 (v109(constB21) <=> (v110(constB21) | v117(constB21))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4158, 2423])).
% 14.16/9.36 tff(4160,plain,
% 14.16/9.36 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB21) <=> (v111(constB21) | v116(constB21)))),
% 14.16/9.36 inference(quant_inst,[status(thm)],[])).
% 14.16/9.36 tff(4161,plain,
% 14.16/9.36 (v110(constB21) <=> (v111(constB21) | v116(constB21))),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4160, 2432])).
% 14.16/9.36 tff(4162,plain,
% 14.16/9.36 ((v111(constB21) | v116(constB21)) | (~v116(constB21))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4163,plain,
% 14.16/9.36 (v111(constB21) | v116(constB21)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4162, 4102])).
% 14.16/9.36 tff(4164,plain,
% 14.16/9.36 ((~(v110(constB21) <=> (v111(constB21) | v116(constB21)))) | v110(constB21) | (~(v111(constB21) | v116(constB21)))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4165,plain,
% 14.16/9.36 (v110(constB21)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4164, 4163, 4161])).
% 14.16/9.36 tff(4166,plain,
% 14.16/9.36 ((v110(constB21) | v117(constB21)) | (~v110(constB21))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4167,plain,
% 14.16/9.36 (v110(constB21) | v117(constB21)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4166, 4165])).
% 14.16/9.36 tff(4168,plain,
% 14.16/9.36 ((~(v109(constB21) <=> (v110(constB21) | v117(constB21)))) | v109(constB21) | (~(v110(constB21) | v117(constB21)))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4169,plain,
% 14.16/9.36 (v109(constB21)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4168, 4167, 4159])).
% 14.16/9.36 tff(4170,plain,
% 14.16/9.36 ((v109(constB21) | v118(constB21)) | (~v109(constB21))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4171,plain,
% 14.16/9.36 (v109(constB21) | v118(constB21)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4170, 4169])).
% 14.16/9.36 tff(4172,plain,
% 14.16/9.36 ((~(v108(constB21) <=> (v109(constB21) | v118(constB21)))) | v108(constB21) | (~(v109(constB21) | v118(constB21)))),
% 14.16/9.36 inference(tautology,[status(thm)],[])).
% 14.16/9.36 tff(4173,plain,
% 14.16/9.36 (v108(constB21)),
% 14.16/9.36 inference(unit_resolution,[status(thm)],[4172, 4171, 4157])).
% 14.16/9.36 tff(4174,plain,
% 14.16/9.37 ((v108(constB21) | v119(constB21)) | (~v108(constB21))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4175,plain,
% 14.16/9.37 (v108(constB21) | v119(constB21)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4174, 4173])).
% 14.16/9.37 tff(4176,plain,
% 14.16/9.37 ((~(v107(constB21) <=> (v108(constB21) | v119(constB21)))) | v107(constB21) | (~(v108(constB21) | v119(constB21)))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4177,plain,
% 14.16/9.37 (v107(constB21)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4176, 4175, 4155])).
% 14.16/9.37 tff(4178,plain,
% 14.16/9.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB21)) <=> v105(constB21))),
% 14.16/9.37 inference(quant_inst,[status(thm)],[])).
% 14.16/9.37 tff(4179,plain,
% 14.16/9.37 ((~v120(constB21)) <=> v105(constB21)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4178, 2484])).
% 14.16/9.37 tff(4180,plain,
% 14.16/9.37 ((~((~v120(constB21)) <=> v105(constB21))) | v120(constB21) | v105(constB21)),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4181,plain,
% 14.16/9.37 ((~((~v120(constB21)) <=> v105(constB21))) | v120(constB21)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4180, 1586])).
% 14.16/9.37 tff(4182,plain,
% 14.16/9.37 (v120(constB21)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4181, 4179])).
% 14.16/9.37 tff(4183,plain,
% 14.16/9.37 ((~((~v107(constB21)) | (~v120(constB21)))) | (~v107(constB21)) | (~v120(constB21))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4184,plain,
% 14.16/9.37 ((~((~v107(constB21)) | (~v120(constB21)))) | (~v107(constB21))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4183, 4182])).
% 14.16/9.37 tff(4185,plain,
% 14.16/9.37 (~((~v107(constB21)) | (~v120(constB21)))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4184, 4177])).
% 14.16/9.37 tff(4186,plain,
% 14.16/9.37 ((~(v106(constB21) <=> (~((~v107(constB21)) | (~v120(constB21)))))) | v106(constB21) | ((~v107(constB21)) | (~v120(constB21)))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4187,plain,
% 14.16/9.37 (v106(constB21)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4186, 4185, 4153])).
% 14.16/9.37 tff(4188,plain,
% 14.16/9.37 ((v105(constB21) | v106(constB21)) | (~v106(constB21))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4189,plain,
% 14.16/9.37 (v105(constB21) | v106(constB21)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4188, 4187])).
% 14.16/9.37 tff(4190,plain,
% 14.16/9.37 ((~(v102(constB21) <=> (v105(constB21) | v106(constB21)))) | v102(constB21) | (~(v105(constB21) | v106(constB21)))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4191,plain,
% 14.16/9.37 (v102(constB21)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4190, 4189, 4151])).
% 14.16/9.37 tff(4192,plain,
% 14.16/9.37 ((~(v104(constB22) <=> v102(constB21))) | v104(constB22) | (~v102(constB21))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4193,plain,
% 14.16/9.37 (v104(constB22)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4192, 4191, 4149])).
% 14.16/9.37 tff(4194,plain,
% 14.16/9.37 ((~((~v95(constB22)) | (~v104(constB22)))) | (~v95(constB22)) | (~v104(constB22))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4195,plain,
% 14.16/9.37 (~((~v95(constB22)) | (~v104(constB22)))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4194, 4193, 4145])).
% 14.16/9.37 tff(4196,plain,
% 14.16/9.37 ((~(v94(constB22) <=> (~((~v95(constB22)) | (~v104(constB22)))))) | v94(constB22) | ((~v95(constB22)) | (~v104(constB22)))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4197,plain,
% 14.16/9.37 (v94(constB22)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4196, 4195, 4117])).
% 14.16/9.37 tff(4198,plain,
% 14.16/9.37 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB22)) | (~(((~v84(constB22, 0)) <=> v123(constB22, 0)) | ((~v84(constB22, 2)) <=> v123(constB22, 2)) | ((~v84(constB22, 1)) <=> v123(constB22, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB22)) | (~(((~v84(constB22, 0)) <=> v123(constB22, 0)) | ((~v84(constB22, 2)) <=> v123(constB22, 2)) | ((~v84(constB22, 1)) <=> v123(constB22, 1)))))),
% 14.16/9.37 inference(rewrite,[status(thm)],[])).
% 14.16/9.37 tff(4199,plain,
% 14.16/9.37 (((~v94(constB22)) | (~(((~v84(constB22, 2)) <=> v123(constB22, 2)) | ((~v84(constB22, 1)) <=> v123(constB22, 1)) | ((~v84(constB22, 0)) <=> v123(constB22, 0))))) <=> ((~v94(constB22)) | (~(((~v84(constB22, 0)) <=> v123(constB22, 0)) | ((~v84(constB22, 2)) <=> v123(constB22, 2)) | ((~v84(constB22, 1)) <=> v123(constB22, 1)))))),
% 14.16/9.37 inference(rewrite,[status(thm)],[])).
% 14.16/9.37 tff(4200,plain,
% 14.16/9.37 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB22)) | (~(((~v84(constB22, 2)) <=> v123(constB22, 2)) | ((~v84(constB22, 1)) <=> v123(constB22, 1)) | ((~v84(constB22, 0)) <=> v123(constB22, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB22)) | (~(((~v84(constB22, 0)) <=> v123(constB22, 0)) | ((~v84(constB22, 2)) <=> v123(constB22, 2)) | ((~v84(constB22, 1)) <=> v123(constB22, 1))))))),
% 14.16/9.37 inference(monotonicity,[status(thm)],[4199])).
% 14.16/9.37 tff(4201,plain,
% 14.16/9.37 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB22)) | (~(((~v84(constB22, 2)) <=> v123(constB22, 2)) | ((~v84(constB22, 1)) <=> v123(constB22, 1)) | ((~v84(constB22, 0)) <=> v123(constB22, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB22)) | (~(((~v84(constB22, 0)) <=> v123(constB22, 0)) | ((~v84(constB22, 2)) <=> v123(constB22, 2)) | ((~v84(constB22, 1)) <=> v123(constB22, 1)))))),
% 14.16/9.37 inference(transitivity,[status(thm)],[4200, 4198])).
% 14.16/9.37 tff(4202,plain,
% 14.16/9.37 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB22)) | (~(((~v84(constB22, 2)) <=> v123(constB22, 2)) | ((~v84(constB22, 1)) <=> v123(constB22, 1)) | ((~v84(constB22, 0)) <=> v123(constB22, 0)))))),
% 14.16/9.37 inference(quant_inst,[status(thm)],[])).
% 14.16/9.37 tff(4203,plain,
% 14.16/9.37 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB22)) | (~(((~v84(constB22, 0)) <=> v123(constB22, 0)) | ((~v84(constB22, 2)) <=> v123(constB22, 2)) | ((~v84(constB22, 1)) <=> v123(constB22, 1))))),
% 14.16/9.37 inference(modus_ponens,[status(thm)],[4202, 4201])).
% 14.16/9.37 tff(4204,plain,
% 14.16/9.37 ((~v94(constB22)) | (~(((~v84(constB22, 0)) <=> v123(constB22, 0)) | ((~v84(constB22, 2)) <=> v123(constB22, 2)) | ((~v84(constB22, 1)) <=> v123(constB22, 1))))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4203, 2517])).
% 14.16/9.37 tff(4205,plain,
% 14.16/9.37 (~(((~v84(constB22, 0)) <=> v123(constB22, 0)) | ((~v84(constB22, 2)) <=> v123(constB22, 2)) | ((~v84(constB22, 1)) <=> v123(constB22, 1)))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4204, 4197])).
% 14.16/9.37 tff(4206,plain,
% 14.16/9.37 ((((~v84(constB22, 0)) <=> v123(constB22, 0)) | ((~v84(constB22, 2)) <=> v123(constB22, 2)) | ((~v84(constB22, 1)) <=> v123(constB22, 1))) | (~((~v84(constB22, 2)) <=> v123(constB22, 2)))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4207,plain,
% 14.16/9.37 (~((~v84(constB22, 2)) <=> v123(constB22, 2))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4206, 4205])).
% 14.16/9.37 tff(4208,plain,
% 14.16/9.37 (((~v84(constB22, 2)) <=> v123(constB22, 2)) | v84(constB22, 2) | (~v123(constB22, 2))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4209,plain,
% 14.16/9.37 (v84(constB22, 2)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4208, 4207, 4113])).
% 14.16/9.37 tff(4210,plain,
% 14.16/9.37 (((~v84(constB23, 2)) <=> v84(constB22, 2)) | v84(constB23, 2) | (~v84(constB22, 2))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4211,plain,
% 14.16/9.37 (v84(constB23, 2)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4210, 4209, 1570])).
% 14.16/9.37 tff(4212,plain,
% 14.16/9.37 ((((~v84(constB23, 1)) <=> v84(constB22, 1)) | ((~v84(constB23, 2)) <=> v84(constB22, 2)) | ((~v84(constB23, 0)) <=> v84(constB22, 0))) | (~((~v84(constB23, 0)) <=> v84(constB22, 0)))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4213,plain,
% 14.16/9.37 (~((~v84(constB23, 0)) <=> v84(constB22, 0))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4212, 1568])).
% 14.16/9.37 tff(4214,plain,
% 14.16/9.37 ((((~v123(constB22, 2)) <=> v121(constB21, 2)) | ((~v123(constB22, 1)) <=> v121(constB21, 1)) | ((~v123(constB22, 0)) <=> v121(constB21, 0))) | (~((~v123(constB22, 0)) <=> v121(constB21, 0)))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4215,plain,
% 14.16/9.37 (~((~v123(constB22, 0)) <=> v121(constB21, 0))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4214, 1577])).
% 14.16/9.37 tff(4216,plain,
% 14.16/9.37 ((((~v121(constB21, 2)) <=> v124(constB21, 2)) | ((~v121(constB21, 0)) <=> v124(constB21, 0)) | ((~v121(constB21, 1)) <=> v124(constB21, 1))) | (~((~v121(constB21, 0)) <=> v124(constB21, 0)))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4217,plain,
% 14.16/9.37 (~((~v121(constB21, 0)) <=> v124(constB21, 0))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4216, 1591])).
% 14.16/9.37 tff(4218,plain,
% 14.16/9.37 ((v124(constB21, 0) | v124(constB21, 1) | (~v124(constB21, 2))) | (~v124(constB21, 0))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4219,plain,
% 14.16/9.37 (~v124(constB21, 0)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4218, 4107])).
% 14.16/9.37 tff(4220,plain,
% 14.16/9.37 (((~v121(constB21, 0)) <=> v124(constB21, 0)) | (~v121(constB21, 0)) | v124(constB21, 0)),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4221,plain,
% 14.16/9.37 (~v121(constB21, 0)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4220, 4219, 4217])).
% 14.16/9.37 tff(4222,plain,
% 14.16/9.37 (((~v123(constB22, 0)) <=> v121(constB21, 0)) | (~v123(constB22, 0)) | v121(constB21, 0)),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4223,plain,
% 14.16/9.37 (~v123(constB22, 0)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4222, 4221, 4215])).
% 14.16/9.37 tff(4224,plain,
% 14.16/9.37 ((((~v84(constB22, 0)) <=> v123(constB22, 0)) | ((~v84(constB22, 2)) <=> v123(constB22, 2)) | ((~v84(constB22, 1)) <=> v123(constB22, 1))) | (~((~v84(constB22, 0)) <=> v123(constB22, 0)))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4225,plain,
% 14.16/9.37 (~((~v84(constB22, 0)) <=> v123(constB22, 0))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4224, 4205])).
% 14.16/9.37 tff(4226,plain,
% 14.16/9.37 (((~v84(constB22, 0)) <=> v123(constB22, 0)) | (~v84(constB22, 0)) | v123(constB22, 0)),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4227,plain,
% 14.16/9.37 (~v84(constB22, 0)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4226, 4225, 4223])).
% 14.16/9.37 tff(4228,plain,
% 14.16/9.37 (((~v84(constB23, 0)) <=> v84(constB22, 0)) | (~v84(constB23, 0)) | v84(constB22, 0)),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4229,plain,
% 14.16/9.37 (~v84(constB23, 0)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4228, 4227, 4213])).
% 14.16/9.37 tff(4230,plain,
% 14.16/9.37 ((((~v84(constB23, 1)) <=> v84(constB22, 1)) | ((~v84(constB23, 2)) <=> v84(constB22, 2)) | ((~v84(constB23, 0)) <=> v84(constB22, 0))) | (~((~v84(constB23, 1)) <=> v84(constB22, 1)))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4231,plain,
% 14.16/9.37 (~((~v84(constB23, 1)) <=> v84(constB22, 1))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4230, 1568])).
% 14.16/9.37 tff(4232,plain,
% 14.16/9.37 ((((~v123(constB22, 2)) <=> v121(constB21, 2)) | ((~v123(constB22, 1)) <=> v121(constB21, 1)) | ((~v123(constB22, 0)) <=> v121(constB21, 0))) | (~((~v123(constB22, 1)) <=> v121(constB21, 1)))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4233,plain,
% 14.16/9.37 (~((~v123(constB22, 1)) <=> v121(constB21, 1))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4232, 1577])).
% 14.16/9.37 tff(4234,plain,
% 14.16/9.37 ((((~v121(constB21, 2)) <=> v124(constB21, 2)) | ((~v121(constB21, 0)) <=> v124(constB21, 0)) | ((~v121(constB21, 1)) <=> v124(constB21, 1))) | (~((~v121(constB21, 1)) <=> v124(constB21, 1)))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4235,plain,
% 14.16/9.37 (~((~v121(constB21, 1)) <=> v124(constB21, 1))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4234, 1591])).
% 14.16/9.37 tff(4236,plain,
% 14.16/9.37 ((v124(constB21, 0) | v124(constB21, 1) | (~v124(constB21, 2))) | (~v124(constB21, 1))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4237,plain,
% 14.16/9.37 (~v124(constB21, 1)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4236, 4107])).
% 14.16/9.37 tff(4238,plain,
% 14.16/9.37 (((~v121(constB21, 1)) <=> v124(constB21, 1)) | (~v121(constB21, 1)) | v124(constB21, 1)),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4239,plain,
% 14.16/9.37 (~v121(constB21, 1)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4238, 4237, 4235])).
% 14.16/9.37 tff(4240,plain,
% 14.16/9.37 (((~v123(constB22, 1)) <=> v121(constB21, 1)) | (~v123(constB22, 1)) | v121(constB21, 1)),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4241,plain,
% 14.16/9.37 (~v123(constB22, 1)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4240, 4239, 4233])).
% 14.16/9.37 tff(4242,plain,
% 14.16/9.37 ((((~v84(constB22, 0)) <=> v123(constB22, 0)) | ((~v84(constB22, 2)) <=> v123(constB22, 2)) | ((~v84(constB22, 1)) <=> v123(constB22, 1))) | (~((~v84(constB22, 1)) <=> v123(constB22, 1)))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4243,plain,
% 14.16/9.37 (~((~v84(constB22, 1)) <=> v123(constB22, 1))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4242, 4205])).
% 14.16/9.37 tff(4244,plain,
% 14.16/9.37 (((~v84(constB22, 1)) <=> v123(constB22, 1)) | (~v84(constB22, 1)) | v123(constB22, 1)),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4245,plain,
% 14.16/9.37 (~v84(constB22, 1)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4244, 4243, 4241])).
% 14.16/9.37 tff(4246,plain,
% 14.16/9.37 (((~v84(constB23, 1)) <=> v84(constB22, 1)) | (~v84(constB23, 1)) | v84(constB22, 1)),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4247,plain,
% 14.16/9.37 (~v84(constB23, 1)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4246, 4245, 4231])).
% 14.16/9.37 tff(4248,plain,
% 14.16/9.37 ((~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))) | v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4249,plain,
% 14.16/9.37 (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4248, 4247, 4229, 4211])).
% 14.16/9.37 tff(4250,plain,
% 14.16/9.37 ((~(v117(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))))) | v117(constB23) | (v84(constB23, 1) | v84(constB23, 0) | (~v84(constB23, 2)))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4251,plain,
% 14.16/9.37 (v117(constB23)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4250, 4249, 1534])).
% 14.16/9.37 tff(4252,plain,
% 14.16/9.37 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB23)) | (~(v124(constB23, 0) | (~v124(constB23, 2)) | (~v124(constB23, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB23)) | (~(v124(constB23, 0) | (~v124(constB23, 2)) | (~v124(constB23, 1)))))),
% 14.16/9.37 inference(rewrite,[status(thm)],[])).
% 14.16/9.37 tff(4253,plain,
% 14.16/9.37 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB23)) | (~(v124(constB23, 0) | (~v124(constB23, 2)) | (~v124(constB23, 1)))))),
% 14.16/9.37 inference(quant_inst,[status(thm)],[])).
% 14.16/9.37 tff(4254,plain,
% 14.16/9.37 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB23)) | (~(v124(constB23, 0) | (~v124(constB23, 2)) | (~v124(constB23, 1))))),
% 14.16/9.37 inference(modus_ponens,[status(thm)],[4253, 4252])).
% 14.16/9.37 tff(4255,plain,
% 14.16/9.37 ((~v117(constB23)) | (~(v124(constB23, 0) | (~v124(constB23, 2)) | (~v124(constB23, 1))))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4254, 2584])).
% 14.16/9.37 tff(4256,plain,
% 14.16/9.37 (~(v124(constB23, 0) | (~v124(constB23, 2)) | (~v124(constB23, 1)))),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4255, 4251])).
% 14.16/9.37 tff(4257,plain,
% 14.16/9.37 ((v124(constB23, 0) | (~v124(constB23, 2)) | (~v124(constB23, 1))) | v124(constB23, 2)),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4258,plain,
% 14.16/9.37 (v124(constB23, 2)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4257, 4256])).
% 14.16/9.37 tff(4259,plain,
% 14.16/9.37 (((~v121(constB23, 2)) <=> v124(constB23, 2)) | v121(constB23, 2) | (~v124(constB23, 2))),
% 14.16/9.37 inference(tautology,[status(thm)],[])).
% 14.16/9.37 tff(4260,plain,
% 14.16/9.37 (v121(constB23, 2)),
% 14.16/9.37 inference(unit_resolution,[status(thm)],[4259, 4258, 1527])).
% 14.24/9.38 tff(4261,plain,
% 14.24/9.38 (((~v123(constB24, 2)) <=> v121(constB23, 2)) | v123(constB24, 2) | (~v121(constB23, 2))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4262,plain,
% 14.24/9.38 (v123(constB24, 2)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4261, 4260, 1513])).
% 14.24/9.38 tff(4263,plain,
% 14.24/9.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB23, constB24)) | (v94(constB24) <=> (~((~v95(constB24)) | (~v104(constB24))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB23, constB24)) | (v94(constB24) <=> (~((~v95(constB24)) | (~v104(constB24))))))),
% 14.24/9.38 inference(rewrite,[status(thm)],[])).
% 14.24/9.38 tff(4264,plain,
% 14.24/9.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB23, constB24)) | (v94(constB24) <=> (~((~v95(constB24)) | (~v104(constB24))))))),
% 14.24/9.38 inference(quant_inst,[status(thm)],[])).
% 14.24/9.38 tff(4265,plain,
% 14.24/9.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB23, constB24)) | (v94(constB24) <=> (~((~v95(constB24)) | (~v104(constB24)))))),
% 14.24/9.38 inference(modus_ponens,[status(thm)],[4264, 4263])).
% 14.24/9.38 tff(4266,plain,
% 14.24/9.38 (v94(constB24) <=> (~((~v95(constB24)) | (~v104(constB24))))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4265, 1507, 770])).
% 14.24/9.38 tff(4267,plain,
% 14.24/9.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24))))))),
% 14.24/9.38 inference(rewrite,[status(thm)],[])).
% 14.24/9.38 tff(4268,plain,
% 14.24/9.38 (((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v96(constB24)) | (~v1(constB24)))))) <=> ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24))))))),
% 14.24/9.38 inference(rewrite,[status(thm)],[])).
% 14.24/9.38 tff(4269,plain,
% 14.24/9.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v96(constB24)) | (~v1(constB24))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24)))))))),
% 14.24/9.38 inference(monotonicity,[status(thm)],[4268])).
% 14.24/9.38 tff(4270,plain,
% 14.24/9.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v96(constB24)) | (~v1(constB24))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24))))))),
% 14.24/9.38 inference(transitivity,[status(thm)],[4269, 4267])).
% 14.24/9.38 tff(4271,plain,
% 14.24/9.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v96(constB24)) | (~v1(constB24))))))),
% 14.24/9.38 inference(quant_inst,[status(thm)],[])).
% 14.24/9.38 tff(4272,plain,
% 14.24/9.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24)))))),
% 14.24/9.38 inference(modus_ponens,[status(thm)],[4271, 4270])).
% 14.24/9.38 tff(4273,plain,
% 14.24/9.38 (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24))))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4272, 1507, 790])).
% 14.24/9.38 tff(4274,plain,
% 14.24/9.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB23, constB24)) | ((~v96(constB24)) <=> v98(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB23, constB24)) | ((~v96(constB24)) <=> v98(constB24)))),
% 14.24/9.38 inference(rewrite,[status(thm)],[])).
% 14.24/9.38 tff(4275,plain,
% 14.24/9.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB23, constB24)) | ((~v96(constB24)) <=> v98(constB24)))),
% 14.24/9.38 inference(quant_inst,[status(thm)],[])).
% 14.24/9.38 tff(4276,plain,
% 14.24/9.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB23, constB24)) | ((~v96(constB24)) <=> v98(constB24))),
% 14.24/9.38 inference(modus_ponens,[status(thm)],[4275, 4274])).
% 14.24/9.38 tff(4277,plain,
% 14.24/9.38 ((~v96(constB24)) <=> v98(constB24)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4276, 1507, 2332])).
% 14.24/9.38 tff(4278,plain,
% 14.24/9.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v98(constB24) <=> v1(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v98(constB24) <=> v1(constB23)))),
% 14.24/9.38 inference(rewrite,[status(thm)],[])).
% 14.24/9.38 tff(4279,plain,
% 14.24/9.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v98(constB24) <=> v1(constB23)))),
% 14.24/9.38 inference(quant_inst,[status(thm)],[])).
% 14.24/9.38 tff(4280,plain,
% 14.24/9.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v98(constB24) <=> v1(constB23))),
% 14.24/9.38 inference(modus_ponens,[status(thm)],[4279, 4278])).
% 14.24/9.38 tff(4281,plain,
% 14.24/9.38 (v98(constB24) <=> v1(constB23)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4280, 1507, 2346])).
% 14.24/9.38 tff(4282,plain,
% 14.24/9.38 ((~(v98(constB24) <=> v1(constB23))) | (~v98(constB24)) | v1(constB23)),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4283,plain,
% 14.24/9.38 ((~(v98(constB24) <=> v1(constB23))) | (~v98(constB24))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4282, 1551])).
% 14.24/9.38 tff(4284,plain,
% 14.24/9.38 (~v98(constB24)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4283, 4281])).
% 14.24/9.38 tff(4285,plain,
% 14.24/9.38 ((~((~v96(constB24)) <=> v98(constB24))) | v96(constB24) | v98(constB24)),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4286,plain,
% 14.24/9.38 (v96(constB24)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4285, 4284, 4277])).
% 14.24/9.38 tff(4287,plain,
% 14.24/9.38 (v1(constB24) <=> v1(constB24)),
% 14.24/9.38 inference(rewrite,[status(thm)],[])).
% 14.24/9.38 tff(4288,axiom,(v1(constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_24')).
% 14.24/9.38 tff(4289,plain,
% 14.24/9.38 (v1(constB24)),
% 14.24/9.38 inference(modus_ponens,[status(thm)],[4288, 4287])).
% 14.24/9.38 tff(4290,plain,
% 14.24/9.38 ((~((~v1(constB24)) | (~v96(constB24)))) | (~v1(constB24)) | (~v96(constB24))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4291,plain,
% 14.24/9.38 ((~((~v1(constB24)) | (~v96(constB24)))) | (~v96(constB24))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4290, 4289])).
% 14.24/9.38 tff(4292,plain,
% 14.24/9.38 (~((~v1(constB24)) | (~v96(constB24)))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4291, 4286])).
% 14.24/9.38 tff(4293,plain,
% 14.24/9.38 ((~(v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24)))))) | v95(constB24) | ((~v1(constB24)) | (~v96(constB24)))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4294,plain,
% 14.24/9.38 (v95(constB24)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4293, 4292, 4273])).
% 14.24/9.38 tff(4295,plain,
% 14.24/9.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v102(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v102(constB23)))),
% 14.24/9.38 inference(rewrite,[status(thm)],[])).
% 14.24/9.38 tff(4296,plain,
% 14.24/9.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v102(constB23)))),
% 14.24/9.38 inference(quant_inst,[status(thm)],[])).
% 14.24/9.38 tff(4297,plain,
% 14.24/9.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v102(constB23))),
% 14.24/9.38 inference(modus_ponens,[status(thm)],[4296, 4295])).
% 14.24/9.38 tff(4298,plain,
% 14.24/9.38 (v104(constB24) <=> v102(constB23)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4297, 1507, 2373])).
% 14.24/9.38 tff(4299,plain,
% 14.24/9.38 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB23) <=> (v105(constB23) | v106(constB23)))),
% 14.24/9.38 inference(quant_inst,[status(thm)],[])).
% 14.24/9.38 tff(4300,plain,
% 14.24/9.38 (v102(constB23) <=> (v105(constB23) | v106(constB23))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4299, 2384])).
% 14.24/9.38 tff(4301,plain,
% 14.24/9.38 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB23) <=> (~((~v107(constB23)) | (~v120(constB23)))))),
% 14.24/9.38 inference(quant_inst,[status(thm)],[])).
% 14.24/9.38 tff(4302,plain,
% 14.24/9.38 (v106(constB23) <=> (~((~v107(constB23)) | (~v120(constB23))))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4301, 2396])).
% 14.24/9.38 tff(4303,plain,
% 14.24/9.38 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB23) <=> (v108(constB23) | v119(constB23)))),
% 14.24/9.38 inference(quant_inst,[status(thm)],[])).
% 14.24/9.38 tff(4304,plain,
% 14.24/9.38 (v107(constB23) <=> (v108(constB23) | v119(constB23))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4303, 2405])).
% 14.24/9.38 tff(4305,plain,
% 14.24/9.38 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB23) <=> (v109(constB23) | v118(constB23)))),
% 14.24/9.38 inference(quant_inst,[status(thm)],[])).
% 14.24/9.38 tff(4306,plain,
% 14.24/9.38 (v108(constB23) <=> (v109(constB23) | v118(constB23))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4305, 2414])).
% 14.24/9.38 tff(4307,plain,
% 14.24/9.38 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB23) <=> (v110(constB23) | v117(constB23)))),
% 14.24/9.38 inference(quant_inst,[status(thm)],[])).
% 14.24/9.38 tff(4308,plain,
% 14.24/9.38 (v109(constB23) <=> (v110(constB23) | v117(constB23))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4307, 2423])).
% 14.24/9.38 tff(4309,plain,
% 14.24/9.38 ((v110(constB23) | v117(constB23)) | (~v117(constB23))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4310,plain,
% 14.24/9.38 (v110(constB23) | v117(constB23)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4309, 4251])).
% 14.24/9.38 tff(4311,plain,
% 14.24/9.38 ((~(v109(constB23) <=> (v110(constB23) | v117(constB23)))) | v109(constB23) | (~(v110(constB23) | v117(constB23)))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4312,plain,
% 14.24/9.38 (v109(constB23)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4311, 4310, 4308])).
% 14.24/9.38 tff(4313,plain,
% 14.24/9.38 ((v109(constB23) | v118(constB23)) | (~v109(constB23))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4314,plain,
% 14.24/9.38 (v109(constB23) | v118(constB23)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4313, 4312])).
% 14.24/9.38 tff(4315,plain,
% 14.24/9.38 ((~(v108(constB23) <=> (v109(constB23) | v118(constB23)))) | v108(constB23) | (~(v109(constB23) | v118(constB23)))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4316,plain,
% 14.24/9.38 (v108(constB23)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4315, 4314, 4306])).
% 14.24/9.38 tff(4317,plain,
% 14.24/9.38 ((v108(constB23) | v119(constB23)) | (~v108(constB23))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4318,plain,
% 14.24/9.38 (v108(constB23) | v119(constB23)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4317, 4316])).
% 14.24/9.38 tff(4319,plain,
% 14.24/9.38 ((~(v107(constB23) <=> (v108(constB23) | v119(constB23)))) | v107(constB23) | (~(v108(constB23) | v119(constB23)))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4320,plain,
% 14.24/9.38 (v107(constB23)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4319, 4318, 4304])).
% 14.24/9.38 tff(4321,plain,
% 14.24/9.38 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB23)) <=> v105(constB23))),
% 14.24/9.38 inference(quant_inst,[status(thm)],[])).
% 14.24/9.38 tff(4322,plain,
% 14.24/9.38 ((~v120(constB23)) <=> v105(constB23)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4321, 2484])).
% 14.24/9.38 tff(4323,plain,
% 14.24/9.38 ((~((~v120(constB23)) <=> v105(constB23))) | v120(constB23) | v105(constB23)),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4324,plain,
% 14.24/9.38 ((~((~v120(constB23)) <=> v105(constB23))) | v120(constB23)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4323, 1520])).
% 14.24/9.38 tff(4325,plain,
% 14.24/9.38 (v120(constB23)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4324, 4322])).
% 14.24/9.38 tff(4326,plain,
% 14.24/9.38 ((~((~v107(constB23)) | (~v120(constB23)))) | (~v107(constB23)) | (~v120(constB23))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4327,plain,
% 14.24/9.38 ((~((~v107(constB23)) | (~v120(constB23)))) | (~v107(constB23))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4326, 4325])).
% 14.24/9.38 tff(4328,plain,
% 14.24/9.38 (~((~v107(constB23)) | (~v120(constB23)))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4327, 4320])).
% 14.24/9.38 tff(4329,plain,
% 14.24/9.38 ((~(v106(constB23) <=> (~((~v107(constB23)) | (~v120(constB23)))))) | v106(constB23) | ((~v107(constB23)) | (~v120(constB23)))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4330,plain,
% 14.24/9.38 (v106(constB23)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4329, 4328, 4302])).
% 14.24/9.38 tff(4331,plain,
% 14.24/9.38 ((v105(constB23) | v106(constB23)) | (~v106(constB23))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4332,plain,
% 14.24/9.38 (v105(constB23) | v106(constB23)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4331, 4330])).
% 14.24/9.38 tff(4333,plain,
% 14.24/9.38 ((~(v102(constB23) <=> (v105(constB23) | v106(constB23)))) | v102(constB23) | (~(v105(constB23) | v106(constB23)))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4334,plain,
% 14.24/9.38 (v102(constB23)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4333, 4332, 4300])).
% 14.24/9.38 tff(4335,plain,
% 14.24/9.38 ((~(v104(constB24) <=> v102(constB23))) | v104(constB24) | (~v102(constB23))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4336,plain,
% 14.24/9.38 (v104(constB24)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4335, 4334, 4298])).
% 14.24/9.38 tff(4337,plain,
% 14.24/9.38 ((~((~v95(constB24)) | (~v104(constB24)))) | (~v95(constB24)) | (~v104(constB24))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4338,plain,
% 14.24/9.38 (~((~v95(constB24)) | (~v104(constB24)))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4337, 4336, 4294])).
% 14.24/9.38 tff(4339,plain,
% 14.24/9.38 ((~(v94(constB24) <=> (~((~v95(constB24)) | (~v104(constB24)))))) | v94(constB24) | ((~v95(constB24)) | (~v104(constB24)))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4340,plain,
% 14.24/9.38 (v94(constB24)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4339, 4338, 4266])).
% 14.24/9.38 tff(4341,plain,
% 14.24/9.38 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB24)) | (~(((~v84(constB24, 2)) <=> v123(constB24, 2)) | ((~v84(constB24, 1)) <=> v123(constB24, 1)) | ((~v84(constB24, 0)) <=> v123(constB24, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB24)) | (~(((~v84(constB24, 2)) <=> v123(constB24, 2)) | ((~v84(constB24, 1)) <=> v123(constB24, 1)) | ((~v84(constB24, 0)) <=> v123(constB24, 0)))))),
% 14.24/9.38 inference(rewrite,[status(thm)],[])).
% 14.24/9.38 tff(4342,plain,
% 14.24/9.38 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB24)) | (~(((~v84(constB24, 2)) <=> v123(constB24, 2)) | ((~v84(constB24, 1)) <=> v123(constB24, 1)) | ((~v84(constB24, 0)) <=> v123(constB24, 0)))))),
% 14.24/9.38 inference(quant_inst,[status(thm)],[])).
% 14.24/9.38 tff(4343,plain,
% 14.24/9.38 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB24)) | (~(((~v84(constB24, 2)) <=> v123(constB24, 2)) | ((~v84(constB24, 1)) <=> v123(constB24, 1)) | ((~v84(constB24, 0)) <=> v123(constB24, 0))))),
% 14.24/9.38 inference(modus_ponens,[status(thm)],[4342, 4341])).
% 14.24/9.38 tff(4344,plain,
% 14.24/9.38 ((~v94(constB24)) | (~(((~v84(constB24, 2)) <=> v123(constB24, 2)) | ((~v84(constB24, 1)) <=> v123(constB24, 1)) | ((~v84(constB24, 0)) <=> v123(constB24, 0))))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4343, 2517])).
% 14.24/9.38 tff(4345,plain,
% 14.24/9.38 (~(((~v84(constB24, 2)) <=> v123(constB24, 2)) | ((~v84(constB24, 1)) <=> v123(constB24, 1)) | ((~v84(constB24, 0)) <=> v123(constB24, 0)))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4344, 4340])).
% 14.24/9.38 tff(4346,plain,
% 14.24/9.38 ((((~v84(constB24, 2)) <=> v123(constB24, 2)) | ((~v84(constB24, 1)) <=> v123(constB24, 1)) | ((~v84(constB24, 0)) <=> v123(constB24, 0))) | (~((~v84(constB24, 2)) <=> v123(constB24, 2)))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4347,plain,
% 14.24/9.38 (~((~v84(constB24, 2)) <=> v123(constB24, 2))),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4346, 4345])).
% 14.24/9.38 tff(4348,plain,
% 14.24/9.38 (((~v84(constB24, 2)) <=> v123(constB24, 2)) | v84(constB24, 2) | (~v123(constB24, 2))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4349,plain,
% 14.24/9.38 (v84(constB24, 2)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4348, 4347, 4262])).
% 14.24/9.38 tff(4350,plain,
% 14.24/9.38 (((~v84(constB25, 2)) <=> v84(constB24, 2)) | v84(constB25, 2) | (~v84(constB24, 2))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4351,plain,
% 14.24/9.38 (v84(constB25, 2)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4350, 4349, 1504])).
% 14.24/9.38 tff(4352,plain,
% 14.24/9.38 ((v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2)) | (~v84(constB25, 2))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4353,plain,
% 14.24/9.38 (v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4352, 4351])).
% 14.24/9.38 tff(4354,plain,
% 14.24/9.38 ((~(v113(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2))))) | (~v113(constB25)) | (~(v84(constB25, 0) | v84(constB25, 1) | v84(constB25, 2)))),
% 14.24/9.38 inference(tautology,[status(thm)],[])).
% 14.24/9.38 tff(4355,plain,
% 14.24/9.38 (~v113(constB25)),
% 14.24/9.38 inference(unit_resolution,[status(thm)],[4354, 4353, 1468])).
% 14.24/9.38 tff(4356,plain,
% 14.24/9.38 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 2)) | (~v84(constB25, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 2)) | (~v84(constB25, 0))))))),
% 14.24/9.38 inference(rewrite,[status(thm)],[])).
% 14.24/9.38 tff(4357,plain,
% 14.24/9.38 ((v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2))))) <=> (v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 2)) | (~v84(constB25, 0)))))),
% 14.24/9.38 inference(rewrite,[status(thm)],[])).
% 14.24/9.38 tff(4358,plain,
% 14.24/9.38 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 2)) | (~v84(constB25, 0))))))),
% 14.24/9.38 inference(monotonicity,[status(thm)],[4357])).
% 14.24/9.38 tff(4359,plain,
% 14.24/9.38 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 2)) | (~v84(constB25, 0))))))),
% 14.24/9.39 inference(transitivity,[status(thm)],[4358, 4356])).
% 14.24/9.39 tff(4360,plain,
% 14.24/9.39 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 0)) | (~v84(constB25, 2)))))),
% 14.24/9.39 inference(quant_inst,[status(thm)],[])).
% 14.24/9.39 tff(4361,plain,
% 14.24/9.39 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 2)) | (~v84(constB25, 0)))))),
% 14.24/9.39 inference(modus_ponens,[status(thm)],[4360, 4359])).
% 14.24/9.39 tff(4362,plain,
% 14.24/9.39 (v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 2)) | (~v84(constB25, 0))))),
% 14.24/9.39 inference(unit_resolution,[status(thm)],[4361, 2701])).
% 14.24/9.39 tff(4363,plain,
% 14.24/9.39 ((((~v84(constB25, 1)) <=> v84(constB24, 1)) | ((~v84(constB25, 2)) <=> v84(constB24, 2)) | ((~v84(constB25, 0)) <=> v84(constB24, 0))) | (~((~v84(constB25, 1)) <=> v84(constB24, 1)))),
% 14.24/9.39 inference(tautology,[status(thm)],[])).
% 14.24/9.39 tff(4364,plain,
% 14.24/9.39 (~((~v84(constB25, 1)) <=> v84(constB24, 1))),
% 14.24/9.39 inference(unit_resolution,[status(thm)],[4363, 1502])).
% 14.24/9.39 tff(4365,plain,
% 14.24/9.39 ((((~v123(constB24, 2)) <=> v121(constB23, 2)) | ((~v123(constB24, 1)) <=> v121(constB23, 1)) | ((~v123(constB24, 0)) <=> v121(constB23, 0))) | (~((~v123(constB24, 1)) <=> v121(constB23, 1)))),
% 14.24/9.39 inference(tautology,[status(thm)],[])).
% 14.24/9.39 tff(4366,plain,
% 14.24/9.39 (~((~v123(constB24, 1)) <=> v121(constB23, 1))),
% 14.24/9.39 inference(unit_resolution,[status(thm)],[4365, 1511])).
% 14.24/9.39 tff(4367,plain,
% 14.24/9.39 ((((~v121(constB23, 2)) <=> v124(constB23, 2)) | ((~v121(constB23, 0)) <=> v124(constB23, 0)) | ((~v121(constB23, 1)) <=> v124(constB23, 1))) | (~((~v121(constB23, 1)) <=> v124(constB23, 1)))),
% 14.24/9.39 inference(tautology,[status(thm)],[])).
% 14.24/9.39 tff(4368,plain,
% 14.24/9.39 (~((~v121(constB23, 1)) <=> v124(constB23, 1))),
% 14.24/9.39 inference(unit_resolution,[status(thm)],[4367, 1525])).
% 14.24/9.39 tff(4369,plain,
% 14.24/9.39 ((v124(constB23, 0) | (~v124(constB23, 2)) | (~v124(constB23, 1))) | v124(constB23, 1)),
% 14.24/9.39 inference(tautology,[status(thm)],[])).
% 14.24/9.39 tff(4370,plain,
% 14.24/9.39 (v124(constB23, 1)),
% 14.24/9.39 inference(unit_resolution,[status(thm)],[4369, 4256])).
% 14.24/9.39 tff(4371,plain,
% 14.24/9.39 (((~v121(constB23, 1)) <=> v124(constB23, 1)) | v121(constB23, 1) | (~v124(constB23, 1))),
% 14.24/9.39 inference(tautology,[status(thm)],[])).
% 14.24/9.39 tff(4372,plain,
% 14.24/9.39 (v121(constB23, 1)),
% 14.24/9.39 inference(unit_resolution,[status(thm)],[4371, 4370, 4368])).
% 14.24/9.39 tff(4373,plain,
% 14.24/9.39 (((~v123(constB24, 1)) <=> v121(constB23, 1)) | v123(constB24, 1) | (~v121(constB23, 1))),
% 14.24/9.39 inference(tautology,[status(thm)],[])).
% 14.24/9.39 tff(4374,plain,
% 14.24/9.39 (v123(constB24, 1)),
% 14.24/9.39 inference(unit_resolution,[status(thm)],[4373, 4372, 4366])).
% 14.24/9.39 tff(4375,plain,
% 14.24/9.39 ((((~v84(constB24, 2)) <=> v123(constB24, 2)) | ((~v84(constB24, 1)) <=> v123(constB24, 1)) | ((~v84(constB24, 0)) <=> v123(constB24, 0))) | (~((~v84(constB24, 1)) <=> v123(constB24, 1)))),
% 14.24/9.39 inference(tautology,[status(thm)],[])).
% 14.24/9.39 tff(4376,plain,
% 14.24/9.39 (~((~v84(constB24, 1)) <=> v123(constB24, 1))),
% 14.24/9.39 inference(unit_resolution,[status(thm)],[4375, 4345])).
% 14.24/9.39 tff(4377,plain,
% 14.24/9.39 (((~v84(constB24, 1)) <=> v123(constB24, 1)) | v84(constB24, 1) | (~v123(constB24, 1))),
% 14.24/9.39 inference(tautology,[status(thm)],[])).
% 14.24/9.39 tff(4378,plain,
% 14.24/9.39 (v84(constB24, 1)),
% 14.24/9.39 inference(unit_resolution,[status(thm)],[4377, 4376, 4374])).
% 14.24/9.39 tff(4379,plain,
% 14.24/9.39 (((~v84(constB25, 1)) <=> v84(constB24, 1)) | v84(constB25, 1) | (~v84(constB24, 1))),
% 14.24/9.39 inference(tautology,[status(thm)],[])).
% 14.24/9.39 tff(4380,plain,
% 14.24/9.39 (v84(constB25, 1)),
% 14.24/9.39 inference(unit_resolution,[status(thm)],[4379, 4378, 4364])).
% 14.24/9.39 tff(4381,plain,
% 14.24/9.39 ((v84(constB25, 1) | (~v84(constB25, 2)) | (~v84(constB25, 0))) | (~v84(constB25, 1))),
% 14.24/9.39 inference(tautology,[status(thm)],[])).
% 14.24/9.39 tff(4382,plain,
% 14.24/9.39 (v84(constB25, 1) | (~v84(constB25, 2)) | (~v84(constB25, 0))),
% 14.24/9.39 inference(unit_resolution,[status(thm)],[4381, 4380])).
% 14.24/9.39 tff(4383,plain,
% 14.24/9.39 ((~(v118(constB25) <=> (~(v84(constB25, 1) | (~v84(constB25, 2)) | (~v84(constB25, 0)))))) | (~v118(constB25)) | (~(v84(constB25, 1) | (~v84(constB25, 2)) | (~v84(constB25, 0))))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4384,plain,
% 14.27/9.40 (~v118(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4383, 4382, 4362])).
% 14.27/9.40 tff(4385,plain,
% 14.27/9.40 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))))))),
% 14.27/9.40 inference(rewrite,[status(thm)],[])).
% 14.27/9.40 tff(4386,plain,
% 14.27/9.40 ((v117(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | (~v84(constB25, 2))))) <=> (v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))))),
% 14.27/9.40 inference(rewrite,[status(thm)],[])).
% 14.27/9.40 tff(4387,plain,
% 14.27/9.40 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | (~v84(constB25, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))))))),
% 14.27/9.40 inference(monotonicity,[status(thm)],[4386])).
% 14.27/9.40 tff(4388,plain,
% 14.27/9.40 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | (~v84(constB25, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))))))),
% 14.27/9.40 inference(transitivity,[status(thm)],[4387, 4385])).
% 14.27/9.40 tff(4389,plain,
% 14.27/9.40 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 1) | (~v84(constB25, 2)))))),
% 14.27/9.40 inference(quant_inst,[status(thm)],[])).
% 14.27/9.40 tff(4390,plain,
% 14.27/9.40 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))))),
% 14.27/9.40 inference(modus_ponens,[status(thm)],[4389, 4388])).
% 14.27/9.40 tff(4391,plain,
% 14.27/9.40 (v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4390, 1199])).
% 14.27/9.40 tff(4392,plain,
% 14.27/9.40 ((v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))) | (~v84(constB25, 1))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4393,plain,
% 14.27/9.40 (v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4392, 4380])).
% 14.27/9.40 tff(4394,plain,
% 14.27/9.40 ((~(v117(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2)))))) | (~v117(constB25)) | (~(v84(constB25, 1) | v84(constB25, 0) | (~v84(constB25, 2))))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4395,plain,
% 14.27/9.40 (~v117(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4394, 4393, 4391])).
% 14.27/9.40 tff(4396,plain,
% 14.27/9.40 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 1)) | (~v84(constB25, 0)))))),
% 14.27/9.40 inference(quant_inst,[status(thm)],[])).
% 14.27/9.40 tff(4397,plain,
% 14.27/9.40 (v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 1)) | (~v84(constB25, 0))))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4396, 911])).
% 14.27/9.40 tff(4398,plain,
% 14.27/9.40 ((v84(constB25, 2) | (~v84(constB25, 1)) | (~v84(constB25, 0))) | (~v84(constB25, 2))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4399,plain,
% 14.27/9.40 (v84(constB25, 2) | (~v84(constB25, 1)) | (~v84(constB25, 0))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4398, 4351])).
% 14.27/9.40 tff(4400,plain,
% 14.27/9.40 ((~(v116(constB25) <=> (~(v84(constB25, 2) | (~v84(constB25, 1)) | (~v84(constB25, 0)))))) | (~v116(constB25)) | (~(v84(constB25, 2) | (~v84(constB25, 1)) | (~v84(constB25, 0))))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4401,plain,
% 14.27/9.40 (~v116(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4400, 4399, 4397])).
% 14.27/9.40 tff(4402,plain,
% 14.27/9.40 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))))))),
% 14.27/9.40 inference(rewrite,[status(thm)],[])).
% 14.27/9.40 tff(4403,plain,
% 14.27/9.40 ((v115(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 2) | (~v84(constB25, 1))))) <=> (v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))))),
% 14.27/9.40 inference(rewrite,[status(thm)],[])).
% 14.27/9.40 tff(4404,plain,
% 14.27/9.40 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 2) | (~v84(constB25, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))))))),
% 14.27/9.40 inference(monotonicity,[status(thm)],[4403])).
% 14.27/9.40 tff(4405,plain,
% 14.27/9.40 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 2) | (~v84(constB25, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))))))),
% 14.27/9.40 inference(transitivity,[status(thm)],[4404, 4402])).
% 14.27/9.40 tff(4406,plain,
% 14.27/9.40 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 0) | v84(constB25, 2) | (~v84(constB25, 1)))))),
% 14.27/9.40 inference(quant_inst,[status(thm)],[])).
% 14.27/9.40 tff(4407,plain,
% 14.27/9.40 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))))),
% 14.27/9.40 inference(modus_ponens,[status(thm)],[4406, 4405])).
% 14.27/9.40 tff(4408,plain,
% 14.27/9.40 (v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4407, 985])).
% 14.27/9.40 tff(4409,plain,
% 14.27/9.40 ((v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))) | (~v84(constB25, 2))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4410,plain,
% 14.27/9.40 (v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4409, 4351])).
% 14.27/9.40 tff(4411,plain,
% 14.27/9.40 ((~(v115(constB25) <=> (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1)))))) | (~v115(constB25)) | (~(v84(constB25, 2) | v84(constB25, 0) | (~v84(constB25, 1))))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4412,plain,
% 14.27/9.40 (~v115(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4411, 4410, 4408])).
% 14.27/9.40 tff(4413,plain,
% 14.27/9.40 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0)))))),
% 14.27/9.40 inference(quant_inst,[status(thm)],[])).
% 14.27/9.40 tff(4414,plain,
% 14.27/9.40 (v114(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4413, 1064])).
% 14.27/9.40 tff(4415,plain,
% 14.27/9.40 ((v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))) | (~v84(constB25, 2))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4416,plain,
% 14.27/9.40 (v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4415, 4351])).
% 14.27/9.40 tff(4417,plain,
% 14.27/9.40 ((~(v114(constB25) <=> (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0)))))) | (~v114(constB25)) | (~(v84(constB25, 1) | v84(constB25, 2) | (~v84(constB25, 0))))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4418,plain,
% 14.27/9.40 (~v114(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4417, 4416, 4414])).
% 14.27/9.40 tff(4419,plain,
% 14.27/9.40 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB25) | v114(constB25) | v115(constB25) | v116(constB25) | v117(constB25) | v118(constB25) | (~(v124(constB25, 2) | v124(constB25, 1) | (~v124(constB25, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB25) | v114(constB25) | v115(constB25) | v116(constB25) | v117(constB25) | v118(constB25) | (~(v124(constB25, 2) | v124(constB25, 1) | (~v124(constB25, 0)))))),
% 14.27/9.40 inference(rewrite,[status(thm)],[])).
% 14.27/9.40 tff(4420,plain,
% 14.27/9.40 ((v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | (~(v124(constB25, 2) | v124(constB25, 1) | (~v124(constB25, 0))))) <=> (v113(constB25) | v114(constB25) | v115(constB25) | v116(constB25) | v117(constB25) | v118(constB25) | (~(v124(constB25, 2) | v124(constB25, 1) | (~v124(constB25, 0)))))),
% 14.27/9.40 inference(rewrite,[status(thm)],[])).
% 14.27/9.40 tff(4421,plain,
% 14.27/9.40 ((~(v124(constB25, 1) | v124(constB25, 2) | (~v124(constB25, 0)))) <=> (~(v124(constB25, 2) | v124(constB25, 1) | (~v124(constB25, 0))))),
% 14.27/9.40 inference(rewrite,[status(thm)],[])).
% 14.27/9.40 tff(4422,plain,
% 14.27/9.40 ((v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | (~(v124(constB25, 1) | v124(constB25, 2) | (~v124(constB25, 0))))) <=> (v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | (~(v124(constB25, 2) | v124(constB25, 1) | (~v124(constB25, 0)))))),
% 14.27/9.40 inference(monotonicity,[status(thm)],[4421])).
% 14.27/9.40 tff(4423,plain,
% 14.27/9.40 ((v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | (~(v124(constB25, 1) | v124(constB25, 2) | (~v124(constB25, 0))))) <=> (v113(constB25) | v114(constB25) | v115(constB25) | v116(constB25) | v117(constB25) | v118(constB25) | (~(v124(constB25, 2) | v124(constB25, 1) | (~v124(constB25, 0)))))),
% 14.27/9.40 inference(transitivity,[status(thm)],[4422, 4420])).
% 14.27/9.40 tff(4424,plain,
% 14.27/9.40 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | (~(v124(constB25, 1) | v124(constB25, 2) | (~v124(constB25, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB25) | v114(constB25) | v115(constB25) | v116(constB25) | v117(constB25) | v118(constB25) | (~(v124(constB25, 2) | v124(constB25, 1) | (~v124(constB25, 0))))))),
% 14.27/9.40 inference(monotonicity,[status(thm)],[4423])).
% 14.27/9.40 tff(4425,plain,
% 14.27/9.40 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | (~(v124(constB25, 1) | v124(constB25, 2) | (~v124(constB25, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB25) | v114(constB25) | v115(constB25) | v116(constB25) | v117(constB25) | v118(constB25) | (~(v124(constB25, 2) | v124(constB25, 1) | (~v124(constB25, 0)))))),
% 14.27/9.40 inference(transitivity,[status(thm)],[4424, 4419])).
% 14.27/9.40 tff(4426,plain,
% 14.27/9.40 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | (~(v124(constB25, 1) | v124(constB25, 2) | (~v124(constB25, 0)))))),
% 14.27/9.40 inference(quant_inst,[status(thm)],[])).
% 14.27/9.40 tff(4427,plain,
% 14.27/9.40 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB25) | v114(constB25) | v115(constB25) | v116(constB25) | v117(constB25) | v118(constB25) | (~(v124(constB25, 2) | v124(constB25, 1) | (~v124(constB25, 0))))),
% 14.27/9.40 inference(modus_ponens,[status(thm)],[4426, 4425])).
% 14.27/9.40 tff(4428,plain,
% 14.27/9.40 (v113(constB25) | v114(constB25) | v115(constB25) | v116(constB25) | v117(constB25) | v118(constB25) | (~(v124(constB25, 2) | v124(constB25, 1) | (~v124(constB25, 0))))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4427, 2777])).
% 14.27/9.40 tff(4429,plain,
% 14.27/9.40 (~(v124(constB25, 2) | v124(constB25, 1) | (~v124(constB25, 0)))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4428, 4418, 4412, 4401, 4395, 4384, 4355])).
% 14.27/9.40 tff(4430,plain,
% 14.27/9.40 ((v124(constB25, 2) | v124(constB25, 1) | (~v124(constB25, 0))) | (~v124(constB25, 2))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4431,plain,
% 14.27/9.40 (~v124(constB25, 2)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4430, 4429])).
% 14.27/9.40 tff(4432,plain,
% 14.27/9.40 (((~v121(constB25, 2)) <=> v124(constB25, 2)) | (~v121(constB25, 2)) | v124(constB25, 2)),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4433,plain,
% 14.27/9.40 (~v121(constB25, 2)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4432, 4431, 1453])).
% 14.27/9.40 tff(4434,plain,
% 14.27/9.40 (((~v123(constB26, 2)) <=> v121(constB25, 2)) | (~v123(constB26, 2)) | v121(constB25, 2)),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4435,plain,
% 14.27/9.40 (~v123(constB26, 2)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4434, 4433, 1439])).
% 14.27/9.40 tff(4436,plain,
% 14.27/9.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB25, constB26)) | (v94(constB26) <=> (~((~v95(constB26)) | (~v104(constB26))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB25, constB26)) | (v94(constB26) <=> (~((~v95(constB26)) | (~v104(constB26))))))),
% 14.27/9.40 inference(rewrite,[status(thm)],[])).
% 14.27/9.40 tff(4437,plain,
% 14.27/9.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB25, constB26)) | (v94(constB26) <=> (~((~v95(constB26)) | (~v104(constB26))))))),
% 14.27/9.40 inference(quant_inst,[status(thm)],[])).
% 14.27/9.40 tff(4438,plain,
% 14.27/9.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB25, constB26)) | (v94(constB26) <=> (~((~v95(constB26)) | (~v104(constB26)))))),
% 14.27/9.40 inference(modus_ponens,[status(thm)],[4437, 4436])).
% 14.27/9.40 tff(4439,plain,
% 14.27/9.40 (v94(constB26) <=> (~((~v95(constB26)) | (~v104(constB26))))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4438, 1433, 770])).
% 14.27/9.40 tff(4440,plain,
% 14.27/9.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26))))))),
% 14.27/9.40 inference(rewrite,[status(thm)],[])).
% 14.27/9.40 tff(4441,plain,
% 14.27/9.40 (((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v96(constB26)) | (~v1(constB26)))))) <=> ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26))))))),
% 14.27/9.40 inference(rewrite,[status(thm)],[])).
% 14.27/9.40 tff(4442,plain,
% 14.27/9.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v96(constB26)) | (~v1(constB26))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26)))))))),
% 14.27/9.40 inference(monotonicity,[status(thm)],[4441])).
% 14.27/9.40 tff(4443,plain,
% 14.27/9.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v96(constB26)) | (~v1(constB26))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26))))))),
% 14.27/9.40 inference(transitivity,[status(thm)],[4442, 4440])).
% 14.27/9.40 tff(4444,plain,
% 14.27/9.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v96(constB26)) | (~v1(constB26))))))),
% 14.27/9.40 inference(quant_inst,[status(thm)],[])).
% 14.27/9.40 tff(4445,plain,
% 14.27/9.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26)))))),
% 14.27/9.40 inference(modus_ponens,[status(thm)],[4444, 4443])).
% 14.27/9.40 tff(4446,plain,
% 14.27/9.40 (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26))))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4445, 1433, 790])).
% 14.27/9.40 tff(4447,plain,
% 14.27/9.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB25, constB26)) | ((~v96(constB26)) <=> v98(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB25, constB26)) | ((~v96(constB26)) <=> v98(constB26)))),
% 14.27/9.40 inference(rewrite,[status(thm)],[])).
% 14.27/9.40 tff(4448,plain,
% 14.27/9.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB25, constB26)) | ((~v96(constB26)) <=> v98(constB26)))),
% 14.27/9.40 inference(quant_inst,[status(thm)],[])).
% 14.27/9.40 tff(4449,plain,
% 14.27/9.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB25, constB26)) | ((~v96(constB26)) <=> v98(constB26))),
% 14.27/9.40 inference(modus_ponens,[status(thm)],[4448, 4447])).
% 14.27/9.40 tff(4450,plain,
% 14.27/9.40 ((~v96(constB26)) <=> v98(constB26)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4449, 1433, 2332])).
% 14.27/9.40 tff(4451,plain,
% 14.27/9.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v98(constB26) <=> v1(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v98(constB26) <=> v1(constB25)))),
% 14.27/9.40 inference(rewrite,[status(thm)],[])).
% 14.27/9.40 tff(4452,plain,
% 14.27/9.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v98(constB26) <=> v1(constB25)))),
% 14.27/9.40 inference(quant_inst,[status(thm)],[])).
% 14.27/9.40 tff(4453,plain,
% 14.27/9.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v98(constB26) <=> v1(constB25))),
% 14.27/9.40 inference(modus_ponens,[status(thm)],[4452, 4451])).
% 14.27/9.40 tff(4454,plain,
% 14.27/9.40 (v98(constB26) <=> v1(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4453, 1433, 2346])).
% 14.27/9.40 tff(4455,plain,
% 14.27/9.40 ((~(v98(constB26) <=> v1(constB25))) | (~v98(constB26)) | v1(constB25)),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4456,plain,
% 14.27/9.40 ((~(v98(constB26) <=> v1(constB25))) | (~v98(constB26))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4455, 1485])).
% 14.27/9.40 tff(4457,plain,
% 14.27/9.40 (~v98(constB26)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4456, 4454])).
% 14.27/9.40 tff(4458,plain,
% 14.27/9.40 ((~((~v96(constB26)) <=> v98(constB26))) | v96(constB26) | v98(constB26)),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4459,plain,
% 14.27/9.40 (v96(constB26)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4458, 4457, 4450])).
% 14.27/9.40 tff(4460,plain,
% 14.27/9.40 (v1(constB26) <=> v1(constB26)),
% 14.27/9.40 inference(rewrite,[status(thm)],[])).
% 14.27/9.40 tff(4461,axiom,(v1(constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_26')).
% 14.27/9.40 tff(4462,plain,
% 14.27/9.40 (v1(constB26)),
% 14.27/9.40 inference(modus_ponens,[status(thm)],[4461, 4460])).
% 14.27/9.40 tff(4463,plain,
% 14.27/9.40 ((~((~v1(constB26)) | (~v96(constB26)))) | (~v1(constB26)) | (~v96(constB26))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4464,plain,
% 14.27/9.40 ((~((~v1(constB26)) | (~v96(constB26)))) | (~v96(constB26))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4463, 4462])).
% 14.27/9.40 tff(4465,plain,
% 14.27/9.40 (~((~v1(constB26)) | (~v96(constB26)))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4464, 4459])).
% 14.27/9.40 tff(4466,plain,
% 14.27/9.40 ((~(v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26)))))) | v95(constB26) | ((~v1(constB26)) | (~v96(constB26)))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4467,plain,
% 14.27/9.40 (v95(constB26)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4466, 4465, 4446])).
% 14.27/9.40 tff(4468,plain,
% 14.27/9.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v102(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v102(constB25)))),
% 14.27/9.40 inference(rewrite,[status(thm)],[])).
% 14.27/9.40 tff(4469,plain,
% 14.27/9.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v102(constB25)))),
% 14.27/9.40 inference(quant_inst,[status(thm)],[])).
% 14.27/9.40 tff(4470,plain,
% 14.27/9.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v102(constB25))),
% 14.27/9.40 inference(modus_ponens,[status(thm)],[4469, 4468])).
% 14.27/9.40 tff(4471,plain,
% 14.27/9.40 (v104(constB26) <=> v102(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4470, 1433, 2373])).
% 14.27/9.40 tff(4472,plain,
% 14.27/9.40 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB25) <=> (v105(constB25) | v106(constB25)))),
% 14.27/9.40 inference(quant_inst,[status(thm)],[])).
% 14.27/9.40 tff(4473,plain,
% 14.27/9.40 (v102(constB25) <=> (v105(constB25) | v106(constB25))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4472, 2384])).
% 14.27/9.40 tff(4474,plain,
% 14.27/9.40 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB25) <=> (~((~v107(constB25)) | (~v120(constB25)))))),
% 14.27/9.40 inference(quant_inst,[status(thm)],[])).
% 14.27/9.40 tff(4475,plain,
% 14.27/9.40 (v106(constB25) <=> (~((~v107(constB25)) | (~v120(constB25))))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4474, 2396])).
% 14.27/9.40 tff(4476,plain,
% 14.27/9.40 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB25) <=> (v108(constB25) | v119(constB25)))),
% 14.27/9.40 inference(quant_inst,[status(thm)],[])).
% 14.27/9.40 tff(4477,plain,
% 14.27/9.40 (v107(constB25) <=> (v108(constB25) | v119(constB25))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4476, 2405])).
% 14.27/9.40 tff(4478,plain,
% 14.27/9.40 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB25) <=> (~(v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2)))))),
% 14.27/9.40 inference(quant_inst,[status(thm)],[])).
% 14.27/9.40 tff(4479,plain,
% 14.27/9.40 (v119(constB25) <=> (~(v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2))))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4478, 2849])).
% 14.27/9.40 tff(4480,plain,
% 14.27/9.40 ((((~v84(constB25, 1)) <=> v84(constB24, 1)) | ((~v84(constB25, 2)) <=> v84(constB24, 2)) | ((~v84(constB25, 0)) <=> v84(constB24, 0))) | (~((~v84(constB25, 0)) <=> v84(constB24, 0)))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4481,plain,
% 14.27/9.40 (~((~v84(constB25, 0)) <=> v84(constB24, 0))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4480, 1502])).
% 14.27/9.40 tff(4482,plain,
% 14.27/9.40 ((((~v123(constB24, 2)) <=> v121(constB23, 2)) | ((~v123(constB24, 1)) <=> v121(constB23, 1)) | ((~v123(constB24, 0)) <=> v121(constB23, 0))) | (~((~v123(constB24, 0)) <=> v121(constB23, 0)))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4483,plain,
% 14.27/9.40 (~((~v123(constB24, 0)) <=> v121(constB23, 0))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4482, 1511])).
% 14.27/9.40 tff(4484,plain,
% 14.27/9.40 ((((~v121(constB23, 2)) <=> v124(constB23, 2)) | ((~v121(constB23, 0)) <=> v124(constB23, 0)) | ((~v121(constB23, 1)) <=> v124(constB23, 1))) | (~((~v121(constB23, 0)) <=> v124(constB23, 0)))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4485,plain,
% 14.27/9.40 (~((~v121(constB23, 0)) <=> v124(constB23, 0))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4484, 1525])).
% 14.27/9.40 tff(4486,plain,
% 14.27/9.40 ((v124(constB23, 0) | (~v124(constB23, 2)) | (~v124(constB23, 1))) | (~v124(constB23, 0))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4487,plain,
% 14.27/9.40 (~v124(constB23, 0)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4486, 4256])).
% 14.27/9.40 tff(4488,plain,
% 14.27/9.40 (((~v121(constB23, 0)) <=> v124(constB23, 0)) | (~v121(constB23, 0)) | v124(constB23, 0)),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4489,plain,
% 14.27/9.40 (~v121(constB23, 0)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4488, 4487, 4485])).
% 14.27/9.40 tff(4490,plain,
% 14.27/9.40 (((~v123(constB24, 0)) <=> v121(constB23, 0)) | (~v123(constB24, 0)) | v121(constB23, 0)),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4491,plain,
% 14.27/9.40 (~v123(constB24, 0)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4490, 4489, 4483])).
% 14.27/9.40 tff(4492,plain,
% 14.27/9.40 ((((~v84(constB24, 2)) <=> v123(constB24, 2)) | ((~v84(constB24, 1)) <=> v123(constB24, 1)) | ((~v84(constB24, 0)) <=> v123(constB24, 0))) | (~((~v84(constB24, 0)) <=> v123(constB24, 0)))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4493,plain,
% 14.27/9.40 (~((~v84(constB24, 0)) <=> v123(constB24, 0))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4492, 4345])).
% 14.27/9.40 tff(4494,plain,
% 14.27/9.40 (((~v84(constB24, 0)) <=> v123(constB24, 0)) | (~v84(constB24, 0)) | v123(constB24, 0)),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4495,plain,
% 14.27/9.40 (~v84(constB24, 0)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4494, 4493, 4491])).
% 14.27/9.40 tff(4496,plain,
% 14.27/9.40 (((~v84(constB25, 0)) <=> v84(constB24, 0)) | (~v84(constB25, 0)) | v84(constB24, 0)),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4497,plain,
% 14.27/9.40 (~v84(constB25, 0)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4496, 4495, 4481])).
% 14.27/9.40 tff(4498,plain,
% 14.27/9.40 ((~(v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2)))) | v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4499,plain,
% 14.27/9.40 (~(v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2)))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4498, 4380, 4497, 4351])).
% 14.27/9.40 tff(4500,plain,
% 14.27/9.40 ((~(v119(constB25) <=> (~(v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2)))))) | v119(constB25) | (v84(constB25, 0) | (~v84(constB25, 1)) | (~v84(constB25, 2)))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4501,plain,
% 14.27/9.40 (v119(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4500, 4499, 4479])).
% 14.27/9.40 tff(4502,plain,
% 14.27/9.40 ((v108(constB25) | v119(constB25)) | (~v119(constB25))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4503,plain,
% 14.27/9.40 (v108(constB25) | v119(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4502, 4501])).
% 14.27/9.40 tff(4504,plain,
% 14.27/9.40 ((~(v107(constB25) <=> (v108(constB25) | v119(constB25)))) | v107(constB25) | (~(v108(constB25) | v119(constB25)))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4505,plain,
% 14.27/9.40 (v107(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4504, 4503, 4477])).
% 14.27/9.40 tff(4506,plain,
% 14.27/9.40 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB25)) <=> v105(constB25))),
% 14.27/9.40 inference(quant_inst,[status(thm)],[])).
% 14.27/9.40 tff(4507,plain,
% 14.27/9.40 ((~v120(constB25)) <=> v105(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4506, 2484])).
% 14.27/9.40 tff(4508,plain,
% 14.27/9.40 ((~((~v120(constB25)) <=> v105(constB25))) | v120(constB25) | v105(constB25)),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4509,plain,
% 14.27/9.40 ((~((~v120(constB25)) <=> v105(constB25))) | v120(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4508, 1446])).
% 14.27/9.40 tff(4510,plain,
% 14.27/9.40 (v120(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4509, 4507])).
% 14.27/9.40 tff(4511,plain,
% 14.27/9.40 ((~((~v107(constB25)) | (~v120(constB25)))) | (~v107(constB25)) | (~v120(constB25))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4512,plain,
% 14.27/9.40 ((~((~v107(constB25)) | (~v120(constB25)))) | (~v107(constB25))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4511, 4510])).
% 14.27/9.40 tff(4513,plain,
% 14.27/9.40 (~((~v107(constB25)) | (~v120(constB25)))),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4512, 4505])).
% 14.27/9.40 tff(4514,plain,
% 14.27/9.40 ((~(v106(constB25) <=> (~((~v107(constB25)) | (~v120(constB25)))))) | v106(constB25) | ((~v107(constB25)) | (~v120(constB25)))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4515,plain,
% 14.27/9.40 (v106(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4514, 4513, 4475])).
% 14.27/9.40 tff(4516,plain,
% 14.27/9.40 ((v105(constB25) | v106(constB25)) | (~v106(constB25))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4517,plain,
% 14.27/9.40 (v105(constB25) | v106(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4516, 4515])).
% 14.27/9.40 tff(4518,plain,
% 14.27/9.40 ((~(v102(constB25) <=> (v105(constB25) | v106(constB25)))) | v102(constB25) | (~(v105(constB25) | v106(constB25)))),
% 14.27/9.40 inference(tautology,[status(thm)],[])).
% 14.27/9.40 tff(4519,plain,
% 14.27/9.40 (v102(constB25)),
% 14.27/9.40 inference(unit_resolution,[status(thm)],[4518, 4517, 4473])).
% 14.27/9.40 tff(4520,plain,
% 14.27/9.40 ((~(v104(constB26) <=> v102(constB25))) | v104(constB26) | (~v102(constB25))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4521,plain,
% 14.27/9.41 (v104(constB26)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4520, 4519, 4471])).
% 14.27/9.41 tff(4522,plain,
% 14.27/9.41 ((~((~v95(constB26)) | (~v104(constB26)))) | (~v95(constB26)) | (~v104(constB26))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4523,plain,
% 14.27/9.41 (~((~v95(constB26)) | (~v104(constB26)))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4522, 4521, 4467])).
% 14.27/9.41 tff(4524,plain,
% 14.27/9.41 ((~(v94(constB26) <=> (~((~v95(constB26)) | (~v104(constB26)))))) | v94(constB26) | ((~v95(constB26)) | (~v104(constB26)))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4525,plain,
% 14.27/9.41 (v94(constB26)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4524, 4523, 4439])).
% 14.27/9.41 tff(4526,plain,
% 14.27/9.41 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB26)) | (~(((~v84(constB26, 0)) <=> v123(constB26, 0)) | ((~v84(constB26, 2)) <=> v123(constB26, 2)) | ((~v84(constB26, 1)) <=> v123(constB26, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB26)) | (~(((~v84(constB26, 0)) <=> v123(constB26, 0)) | ((~v84(constB26, 2)) <=> v123(constB26, 2)) | ((~v84(constB26, 1)) <=> v123(constB26, 1)))))),
% 14.27/9.41 inference(rewrite,[status(thm)],[])).
% 14.27/9.41 tff(4527,plain,
% 14.27/9.41 (((~v94(constB26)) | (~(((~v84(constB26, 2)) <=> v123(constB26, 2)) | ((~v84(constB26, 1)) <=> v123(constB26, 1)) | ((~v84(constB26, 0)) <=> v123(constB26, 0))))) <=> ((~v94(constB26)) | (~(((~v84(constB26, 0)) <=> v123(constB26, 0)) | ((~v84(constB26, 2)) <=> v123(constB26, 2)) | ((~v84(constB26, 1)) <=> v123(constB26, 1)))))),
% 14.27/9.41 inference(rewrite,[status(thm)],[])).
% 14.27/9.41 tff(4528,plain,
% 14.27/9.41 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB26)) | (~(((~v84(constB26, 2)) <=> v123(constB26, 2)) | ((~v84(constB26, 1)) <=> v123(constB26, 1)) | ((~v84(constB26, 0)) <=> v123(constB26, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB26)) | (~(((~v84(constB26, 0)) <=> v123(constB26, 0)) | ((~v84(constB26, 2)) <=> v123(constB26, 2)) | ((~v84(constB26, 1)) <=> v123(constB26, 1))))))),
% 14.27/9.41 inference(monotonicity,[status(thm)],[4527])).
% 14.27/9.41 tff(4529,plain,
% 14.27/9.41 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB26)) | (~(((~v84(constB26, 2)) <=> v123(constB26, 2)) | ((~v84(constB26, 1)) <=> v123(constB26, 1)) | ((~v84(constB26, 0)) <=> v123(constB26, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB26)) | (~(((~v84(constB26, 0)) <=> v123(constB26, 0)) | ((~v84(constB26, 2)) <=> v123(constB26, 2)) | ((~v84(constB26, 1)) <=> v123(constB26, 1)))))),
% 14.27/9.41 inference(transitivity,[status(thm)],[4528, 4526])).
% 14.27/9.41 tff(4530,plain,
% 14.27/9.41 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB26)) | (~(((~v84(constB26, 2)) <=> v123(constB26, 2)) | ((~v84(constB26, 1)) <=> v123(constB26, 1)) | ((~v84(constB26, 0)) <=> v123(constB26, 0)))))),
% 14.27/9.41 inference(quant_inst,[status(thm)],[])).
% 14.27/9.41 tff(4531,plain,
% 14.27/9.41 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB26)) | (~(((~v84(constB26, 0)) <=> v123(constB26, 0)) | ((~v84(constB26, 2)) <=> v123(constB26, 2)) | ((~v84(constB26, 1)) <=> v123(constB26, 1))))),
% 14.27/9.41 inference(modus_ponens,[status(thm)],[4530, 4529])).
% 14.27/9.41 tff(4532,plain,
% 14.27/9.41 ((~v94(constB26)) | (~(((~v84(constB26, 0)) <=> v123(constB26, 0)) | ((~v84(constB26, 2)) <=> v123(constB26, 2)) | ((~v84(constB26, 1)) <=> v123(constB26, 1))))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4531, 2517])).
% 14.27/9.41 tff(4533,plain,
% 14.27/9.41 (~(((~v84(constB26, 0)) <=> v123(constB26, 0)) | ((~v84(constB26, 2)) <=> v123(constB26, 2)) | ((~v84(constB26, 1)) <=> v123(constB26, 1)))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4532, 4525])).
% 14.27/9.41 tff(4534,plain,
% 14.27/9.41 ((((~v84(constB26, 0)) <=> v123(constB26, 0)) | ((~v84(constB26, 2)) <=> v123(constB26, 2)) | ((~v84(constB26, 1)) <=> v123(constB26, 1))) | (~((~v84(constB26, 2)) <=> v123(constB26, 2)))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4535,plain,
% 14.27/9.41 (~((~v84(constB26, 2)) <=> v123(constB26, 2))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4534, 4533])).
% 14.27/9.41 tff(4536,plain,
% 14.27/9.41 (((~v84(constB26, 2)) <=> v123(constB26, 2)) | (~v84(constB26, 2)) | v123(constB26, 2)),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4537,plain,
% 14.27/9.41 (~v84(constB26, 2)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4536, 4535, 4435])).
% 14.27/9.41 tff(4538,plain,
% 14.27/9.41 (((~v84(constB27, 2)) <=> v84(constB26, 2)) | (~v84(constB27, 2)) | v84(constB26, 2)),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4539,plain,
% 14.27/9.41 (~v84(constB27, 2)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4538, 4537, 1430])).
% 14.27/9.41 tff(4540,plain,
% 14.27/9.41 ((((~v84(constB27, 1)) <=> v84(constB26, 1)) | ((~v84(constB27, 2)) <=> v84(constB26, 2)) | ((~v84(constB27, 0)) <=> v84(constB26, 0))) | (~((~v84(constB27, 0)) <=> v84(constB26, 0)))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4541,plain,
% 14.27/9.41 (~((~v84(constB27, 0)) <=> v84(constB26, 0))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4540, 1428])).
% 14.27/9.41 tff(4542,plain,
% 14.27/9.41 ((((~v123(constB26, 2)) <=> v121(constB25, 2)) | ((~v123(constB26, 1)) <=> v121(constB25, 1)) | ((~v123(constB26, 0)) <=> v121(constB25, 0))) | (~((~v123(constB26, 0)) <=> v121(constB25, 0)))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4543,plain,
% 14.27/9.41 (~((~v123(constB26, 0)) <=> v121(constB25, 0))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4542, 1437])).
% 14.27/9.41 tff(4544,plain,
% 14.27/9.41 ((((~v121(constB25, 2)) <=> v124(constB25, 2)) | ((~v121(constB25, 0)) <=> v124(constB25, 0)) | ((~v121(constB25, 1)) <=> v124(constB25, 1))) | (~((~v121(constB25, 0)) <=> v124(constB25, 0)))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4545,plain,
% 14.27/9.41 (~((~v121(constB25, 0)) <=> v124(constB25, 0))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4544, 1451])).
% 14.27/9.41 tff(4546,plain,
% 14.27/9.41 ((v124(constB25, 2) | v124(constB25, 1) | (~v124(constB25, 0))) | v124(constB25, 0)),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4547,plain,
% 14.27/9.41 (v124(constB25, 0)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4546, 4429])).
% 14.27/9.41 tff(4548,plain,
% 14.27/9.41 (((~v121(constB25, 0)) <=> v124(constB25, 0)) | v121(constB25, 0) | (~v124(constB25, 0))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4549,plain,
% 14.27/9.41 (v121(constB25, 0)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4548, 4547, 4545])).
% 14.27/9.41 tff(4550,plain,
% 14.27/9.41 (((~v123(constB26, 0)) <=> v121(constB25, 0)) | v123(constB26, 0) | (~v121(constB25, 0))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4551,plain,
% 14.27/9.41 (v123(constB26, 0)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4550, 4549, 4543])).
% 14.27/9.41 tff(4552,plain,
% 14.27/9.41 ((((~v84(constB26, 0)) <=> v123(constB26, 0)) | ((~v84(constB26, 2)) <=> v123(constB26, 2)) | ((~v84(constB26, 1)) <=> v123(constB26, 1))) | (~((~v84(constB26, 0)) <=> v123(constB26, 0)))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4553,plain,
% 14.27/9.41 (~((~v84(constB26, 0)) <=> v123(constB26, 0))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4552, 4533])).
% 14.27/9.41 tff(4554,plain,
% 14.27/9.41 (((~v84(constB26, 0)) <=> v123(constB26, 0)) | v84(constB26, 0) | (~v123(constB26, 0))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4555,plain,
% 14.27/9.41 (v84(constB26, 0)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4554, 4553, 4551])).
% 14.27/9.41 tff(4556,plain,
% 14.27/9.41 (((~v84(constB27, 0)) <=> v84(constB26, 0)) | v84(constB27, 0) | (~v84(constB26, 0))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4557,plain,
% 14.27/9.41 (v84(constB27, 0)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4556, 4555, 4541])).
% 14.27/9.41 tff(4558,plain,
% 14.27/9.41 ((((~v84(constB27, 1)) <=> v84(constB26, 1)) | ((~v84(constB27, 2)) <=> v84(constB26, 2)) | ((~v84(constB27, 0)) <=> v84(constB26, 0))) | (~((~v84(constB27, 1)) <=> v84(constB26, 1)))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4559,plain,
% 14.27/9.41 (~((~v84(constB27, 1)) <=> v84(constB26, 1))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4558, 1428])).
% 14.27/9.41 tff(4560,plain,
% 14.27/9.41 ((((~v123(constB26, 2)) <=> v121(constB25, 2)) | ((~v123(constB26, 1)) <=> v121(constB25, 1)) | ((~v123(constB26, 0)) <=> v121(constB25, 0))) | (~((~v123(constB26, 1)) <=> v121(constB25, 1)))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4561,plain,
% 14.27/9.41 (~((~v123(constB26, 1)) <=> v121(constB25, 1))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4560, 1437])).
% 14.27/9.41 tff(4562,plain,
% 14.27/9.41 ((((~v121(constB25, 2)) <=> v124(constB25, 2)) | ((~v121(constB25, 0)) <=> v124(constB25, 0)) | ((~v121(constB25, 1)) <=> v124(constB25, 1))) | (~((~v121(constB25, 1)) <=> v124(constB25, 1)))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4563,plain,
% 14.27/9.41 (~((~v121(constB25, 1)) <=> v124(constB25, 1))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4562, 1451])).
% 14.27/9.41 tff(4564,plain,
% 14.27/9.41 ((v124(constB25, 2) | v124(constB25, 1) | (~v124(constB25, 0))) | (~v124(constB25, 1))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4565,plain,
% 14.27/9.41 (~v124(constB25, 1)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4564, 4429])).
% 14.27/9.41 tff(4566,plain,
% 14.27/9.41 (((~v121(constB25, 1)) <=> v124(constB25, 1)) | (~v121(constB25, 1)) | v124(constB25, 1)),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4567,plain,
% 14.27/9.41 (~v121(constB25, 1)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4566, 4565, 4563])).
% 14.27/9.41 tff(4568,plain,
% 14.27/9.41 (((~v123(constB26, 1)) <=> v121(constB25, 1)) | (~v123(constB26, 1)) | v121(constB25, 1)),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4569,plain,
% 14.27/9.41 (~v123(constB26, 1)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4568, 4567, 4561])).
% 14.27/9.41 tff(4570,plain,
% 14.27/9.41 ((((~v84(constB26, 0)) <=> v123(constB26, 0)) | ((~v84(constB26, 2)) <=> v123(constB26, 2)) | ((~v84(constB26, 1)) <=> v123(constB26, 1))) | (~((~v84(constB26, 1)) <=> v123(constB26, 1)))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4571,plain,
% 14.27/9.41 (~((~v84(constB26, 1)) <=> v123(constB26, 1))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4570, 4533])).
% 14.27/9.41 tff(4572,plain,
% 14.27/9.41 (((~v84(constB26, 1)) <=> v123(constB26, 1)) | (~v84(constB26, 1)) | v123(constB26, 1)),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4573,plain,
% 14.27/9.41 (~v84(constB26, 1)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4572, 4571, 4569])).
% 14.27/9.41 tff(4574,plain,
% 14.27/9.41 (((~v84(constB27, 1)) <=> v84(constB26, 1)) | (~v84(constB27, 1)) | v84(constB26, 1)),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4575,plain,
% 14.27/9.41 (~v84(constB27, 1)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4574, 4573, 4559])).
% 14.27/9.41 tff(4576,plain,
% 14.27/9.41 ((~(v84(constB27, 1) | v84(constB27, 2) | (~v84(constB27, 0)))) | v84(constB27, 1) | v84(constB27, 2) | (~v84(constB27, 0))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4577,plain,
% 14.27/9.41 (~(v84(constB27, 1) | v84(constB27, 2) | (~v84(constB27, 0)))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4576, 4575, 4557, 4539])).
% 14.27/9.41 tff(4578,plain,
% 14.27/9.41 ((~(v114(constB27) <=> (~(v84(constB27, 1) | v84(constB27, 2) | (~v84(constB27, 0)))))) | v114(constB27) | (v84(constB27, 1) | v84(constB27, 2) | (~v84(constB27, 0)))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4579,plain,
% 14.27/9.41 (v114(constB27)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4578, 4577, 1394])).
% 14.27/9.41 tff(4580,plain,
% 14.27/9.41 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB27)) | (~(v124(constB27, 2) | v124(constB27, 0) | (~v124(constB27, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB27)) | (~(v124(constB27, 2) | v124(constB27, 0) | (~v124(constB27, 1)))))),
% 14.27/9.41 inference(rewrite,[status(thm)],[])).
% 14.27/9.41 tff(4581,plain,
% 14.27/9.41 (((~v114(constB27)) | (~(v124(constB27, 0) | v124(constB27, 2) | (~v124(constB27, 1))))) <=> ((~v114(constB27)) | (~(v124(constB27, 2) | v124(constB27, 0) | (~v124(constB27, 1)))))),
% 14.27/9.41 inference(rewrite,[status(thm)],[])).
% 14.27/9.41 tff(4582,plain,
% 14.27/9.41 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB27)) | (~(v124(constB27, 0) | v124(constB27, 2) | (~v124(constB27, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB27)) | (~(v124(constB27, 2) | v124(constB27, 0) | (~v124(constB27, 1))))))),
% 14.27/9.41 inference(monotonicity,[status(thm)],[4581])).
% 14.27/9.41 tff(4583,plain,
% 14.27/9.41 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB27)) | (~(v124(constB27, 0) | v124(constB27, 2) | (~v124(constB27, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB27)) | (~(v124(constB27, 2) | v124(constB27, 0) | (~v124(constB27, 1)))))),
% 14.27/9.41 inference(transitivity,[status(thm)],[4582, 4580])).
% 14.27/9.41 tff(4584,plain,
% 14.27/9.41 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB27)) | (~(v124(constB27, 0) | v124(constB27, 2) | (~v124(constB27, 1)))))),
% 14.27/9.41 inference(quant_inst,[status(thm)],[])).
% 14.27/9.41 tff(4585,plain,
% 14.27/9.41 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB27)) | (~(v124(constB27, 2) | v124(constB27, 0) | (~v124(constB27, 1))))),
% 14.27/9.41 inference(modus_ponens,[status(thm)],[4584, 4583])).
% 14.27/9.41 tff(4586,plain,
% 14.27/9.41 ((~v114(constB27)) | (~(v124(constB27, 2) | v124(constB27, 0) | (~v124(constB27, 1))))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4585, 2964])).
% 14.27/9.41 tff(4587,plain,
% 14.27/9.41 (~(v124(constB27, 2) | v124(constB27, 0) | (~v124(constB27, 1)))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4586, 4579])).
% 14.27/9.41 tff(4588,plain,
% 14.27/9.41 ((v124(constB27, 2) | v124(constB27, 0) | (~v124(constB27, 1))) | (~v124(constB27, 2))),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4589,plain,
% 14.27/9.41 (~v124(constB27, 2)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4588, 4587])).
% 14.27/9.41 tff(4590,plain,
% 14.27/9.41 (((~v121(constB27, 2)) <=> v124(constB27, 2)) | (~v121(constB27, 2)) | v124(constB27, 2)),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4591,plain,
% 14.27/9.41 (~v121(constB27, 2)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4590, 4589, 1392])).
% 14.27/9.41 tff(4592,plain,
% 14.27/9.41 (((~v123(constB28, 2)) <=> v121(constB27, 2)) | (~v123(constB28, 2)) | v121(constB27, 2)),
% 14.27/9.41 inference(tautology,[status(thm)],[])).
% 14.27/9.41 tff(4593,plain,
% 14.27/9.41 (~v123(constB28, 2)),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4592, 4591, 1378])).
% 14.27/9.41 tff(4594,plain,
% 14.27/9.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB27, constB28)) | (v94(constB28) <=> (~((~v95(constB28)) | (~v104(constB28))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB27, constB28)) | (v94(constB28) <=> (~((~v95(constB28)) | (~v104(constB28))))))),
% 14.27/9.41 inference(rewrite,[status(thm)],[])).
% 14.27/9.41 tff(4595,plain,
% 14.27/9.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB27, constB28)) | (v94(constB28) <=> (~((~v95(constB28)) | (~v104(constB28))))))),
% 14.27/9.41 inference(quant_inst,[status(thm)],[])).
% 14.27/9.41 tff(4596,plain,
% 14.27/9.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB27, constB28)) | (v94(constB28) <=> (~((~v95(constB28)) | (~v104(constB28)))))),
% 14.27/9.41 inference(modus_ponens,[status(thm)],[4595, 4594])).
% 14.27/9.41 tff(4597,plain,
% 14.27/9.41 (v94(constB28) <=> (~((~v95(constB28)) | (~v104(constB28))))),
% 14.27/9.41 inference(unit_resolution,[status(thm)],[4596, 1372, 770])).
% 14.27/9.41 tff(4598,plain,
% 14.27/9.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28))))))),
% 14.27/9.41 inference(rewrite,[status(thm)],[])).
% 14.27/9.41 tff(4599,plain,
% 14.27/9.41 (((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v96(constB28)) | (~v1(constB28)))))) <=> ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28))))))),
% 14.27/9.41 inference(rewrite,[status(thm)],[])).
% 14.27/9.41 tff(4600,plain,
% 14.27/9.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v96(constB28)) | (~v1(constB28))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28)))))))),
% 14.27/9.41 inference(monotonicity,[status(thm)],[4599])).
% 14.27/9.41 tff(4601,plain,
% 14.27/9.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v96(constB28)) | (~v1(constB28))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28))))))),
% 14.27/9.42 inference(transitivity,[status(thm)],[4600, 4598])).
% 14.27/9.42 tff(4602,plain,
% 14.27/9.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v96(constB28)) | (~v1(constB28))))))),
% 14.27/9.42 inference(quant_inst,[status(thm)],[])).
% 14.27/9.42 tff(4603,plain,
% 14.27/9.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28)))))),
% 14.27/9.42 inference(modus_ponens,[status(thm)],[4602, 4601])).
% 14.27/9.42 tff(4604,plain,
% 14.27/9.42 (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28))))),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4603, 1372, 790])).
% 14.27/9.42 tff(4605,plain,
% 14.27/9.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB27, constB28)) | ((~v96(constB28)) <=> v98(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB27, constB28)) | ((~v96(constB28)) <=> v98(constB28)))),
% 14.27/9.42 inference(rewrite,[status(thm)],[])).
% 14.27/9.42 tff(4606,plain,
% 14.27/9.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB27, constB28)) | ((~v96(constB28)) <=> v98(constB28)))),
% 14.27/9.42 inference(quant_inst,[status(thm)],[])).
% 14.27/9.42 tff(4607,plain,
% 14.27/9.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB27, constB28)) | ((~v96(constB28)) <=> v98(constB28))),
% 14.27/9.42 inference(modus_ponens,[status(thm)],[4606, 4605])).
% 14.27/9.42 tff(4608,plain,
% 14.27/9.42 ((~v96(constB28)) <=> v98(constB28)),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4607, 1372, 2332])).
% 14.27/9.42 tff(4609,plain,
% 14.27/9.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v98(constB28) <=> v1(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v98(constB28) <=> v1(constB27)))),
% 14.27/9.42 inference(rewrite,[status(thm)],[])).
% 14.27/9.42 tff(4610,plain,
% 14.27/9.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v98(constB28) <=> v1(constB27)))),
% 14.27/9.42 inference(quant_inst,[status(thm)],[])).
% 14.27/9.42 tff(4611,plain,
% 14.27/9.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v98(constB28) <=> v1(constB27))),
% 14.27/9.42 inference(modus_ponens,[status(thm)],[4610, 4609])).
% 14.27/9.42 tff(4612,plain,
% 14.27/9.42 (v98(constB28) <=> v1(constB27)),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4611, 1372, 2346])).
% 14.27/9.42 tff(4613,plain,
% 14.27/9.42 ((~(v98(constB28) <=> v1(constB27))) | (~v98(constB28)) | v1(constB27)),
% 14.27/9.42 inference(tautology,[status(thm)],[])).
% 14.27/9.42 tff(4614,plain,
% 14.27/9.42 ((~(v98(constB28) <=> v1(constB27))) | (~v98(constB28))),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4613, 1411])).
% 14.27/9.42 tff(4615,plain,
% 14.27/9.42 (~v98(constB28)),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4614, 4612])).
% 14.27/9.42 tff(4616,plain,
% 14.27/9.42 ((~((~v96(constB28)) <=> v98(constB28))) | v96(constB28) | v98(constB28)),
% 14.27/9.42 inference(tautology,[status(thm)],[])).
% 14.27/9.42 tff(4617,plain,
% 14.27/9.42 (v96(constB28)),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4616, 4615, 4608])).
% 14.27/9.42 tff(4618,plain,
% 14.27/9.42 (v1(constB28) <=> v1(constB28)),
% 14.27/9.42 inference(rewrite,[status(thm)],[])).
% 14.27/9.42 tff(4619,axiom,(v1(constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_28')).
% 14.27/9.42 tff(4620,plain,
% 14.27/9.42 (v1(constB28)),
% 14.27/9.42 inference(modus_ponens,[status(thm)],[4619, 4618])).
% 14.27/9.42 tff(4621,plain,
% 14.27/9.42 ((~((~v1(constB28)) | (~v96(constB28)))) | (~v1(constB28)) | (~v96(constB28))),
% 14.27/9.42 inference(tautology,[status(thm)],[])).
% 14.27/9.42 tff(4622,plain,
% 14.27/9.42 ((~((~v1(constB28)) | (~v96(constB28)))) | (~v96(constB28))),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4621, 4620])).
% 14.27/9.42 tff(4623,plain,
% 14.27/9.42 (~((~v1(constB28)) | (~v96(constB28)))),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4622, 4617])).
% 14.27/9.42 tff(4624,plain,
% 14.27/9.42 ((~(v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28)))))) | v95(constB28) | ((~v1(constB28)) | (~v96(constB28)))),
% 14.27/9.42 inference(tautology,[status(thm)],[])).
% 14.27/9.42 tff(4625,plain,
% 14.27/9.42 (v95(constB28)),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4624, 4623, 4604])).
% 14.27/9.42 tff(4626,plain,
% 14.27/9.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v102(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v102(constB27)))),
% 14.27/9.42 inference(rewrite,[status(thm)],[])).
% 14.27/9.42 tff(4627,plain,
% 14.27/9.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v102(constB27)))),
% 14.27/9.42 inference(quant_inst,[status(thm)],[])).
% 14.27/9.42 tff(4628,plain,
% 14.27/9.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v102(constB27))),
% 14.27/9.42 inference(modus_ponens,[status(thm)],[4627, 4626])).
% 14.27/9.42 tff(4629,plain,
% 14.27/9.42 (v104(constB28) <=> v102(constB27)),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4628, 1372, 2373])).
% 14.27/9.42 tff(4630,plain,
% 14.27/9.42 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB27) <=> (v105(constB27) | v106(constB27)))),
% 14.27/9.42 inference(quant_inst,[status(thm)],[])).
% 14.27/9.42 tff(4631,plain,
% 14.27/9.42 (v102(constB27) <=> (v105(constB27) | v106(constB27))),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4630, 2384])).
% 14.27/9.42 tff(4632,plain,
% 14.27/9.42 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB27) <=> (~((~v107(constB27)) | (~v120(constB27)))))),
% 14.27/9.42 inference(quant_inst,[status(thm)],[])).
% 14.27/9.42 tff(4633,plain,
% 14.27/9.42 (v106(constB27) <=> (~((~v107(constB27)) | (~v120(constB27))))),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4632, 2396])).
% 14.27/9.42 tff(4634,plain,
% 14.27/9.42 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB27) <=> (v108(constB27) | v119(constB27)))),
% 14.27/9.42 inference(quant_inst,[status(thm)],[])).
% 14.27/9.42 tff(4635,plain,
% 14.27/9.42 (v107(constB27) <=> (v108(constB27) | v119(constB27))),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4634, 2405])).
% 14.27/9.42 tff(4636,plain,
% 14.27/9.42 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB27) <=> (v109(constB27) | v118(constB27)))),
% 14.27/9.42 inference(quant_inst,[status(thm)],[])).
% 14.27/9.42 tff(4637,plain,
% 14.27/9.42 (v108(constB27) <=> (v109(constB27) | v118(constB27))),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4636, 2414])).
% 14.27/9.42 tff(4638,plain,
% 14.27/9.42 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB27) <=> (v110(constB27) | v117(constB27)))),
% 14.27/9.42 inference(quant_inst,[status(thm)],[])).
% 14.27/9.42 tff(4639,plain,
% 14.27/9.42 (v109(constB27) <=> (v110(constB27) | v117(constB27))),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4638, 2423])).
% 14.27/9.42 tff(4640,plain,
% 14.27/9.42 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB27) <=> (v111(constB27) | v116(constB27)))),
% 14.27/9.42 inference(quant_inst,[status(thm)],[])).
% 14.27/9.42 tff(4641,plain,
% 14.27/9.42 (v110(constB27) <=> (v111(constB27) | v116(constB27))),
% 14.27/9.42 inference(unit_resolution,[status(thm)],[4640, 2432])).
% 14.27/9.42 tff(4642,plain,
% 14.27/9.42 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB27) <=> (v112(constB27) | v115(constB27)))),
% 14.27/9.42 inference(quant_inst,[status(thm)],[])).
% 14.27/9.42 tff(4643,plain,
% 14.27/9.42 (v111(constB27) <=> (v112(constB27) | v115(constB27))),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4642, 2441])).
% 14.29/9.42 tff(4644,plain,
% 14.29/9.42 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB27) <=> (v113(constB27) | v114(constB27)))),
% 14.29/9.42 inference(quant_inst,[status(thm)],[])).
% 14.29/9.42 tff(4645,plain,
% 14.29/9.42 (v112(constB27) <=> (v113(constB27) | v114(constB27))),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4644, 2450])).
% 14.29/9.42 tff(4646,plain,
% 14.29/9.42 ((v113(constB27) | v114(constB27)) | (~v114(constB27))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4647,plain,
% 14.29/9.42 (v113(constB27) | v114(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4646, 4579])).
% 14.29/9.42 tff(4648,plain,
% 14.29/9.42 ((~(v112(constB27) <=> (v113(constB27) | v114(constB27)))) | v112(constB27) | (~(v113(constB27) | v114(constB27)))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4649,plain,
% 14.29/9.42 (v112(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4648, 4647, 4645])).
% 14.29/9.42 tff(4650,plain,
% 14.29/9.42 ((v112(constB27) | v115(constB27)) | (~v112(constB27))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4651,plain,
% 14.29/9.42 (v112(constB27) | v115(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4650, 4649])).
% 14.29/9.42 tff(4652,plain,
% 14.29/9.42 ((~(v111(constB27) <=> (v112(constB27) | v115(constB27)))) | v111(constB27) | (~(v112(constB27) | v115(constB27)))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4653,plain,
% 14.29/9.42 (v111(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4652, 4651, 4643])).
% 14.29/9.42 tff(4654,plain,
% 14.29/9.42 ((v111(constB27) | v116(constB27)) | (~v111(constB27))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4655,plain,
% 14.29/9.42 (v111(constB27) | v116(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4654, 4653])).
% 14.29/9.42 tff(4656,plain,
% 14.29/9.42 ((~(v110(constB27) <=> (v111(constB27) | v116(constB27)))) | v110(constB27) | (~(v111(constB27) | v116(constB27)))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4657,plain,
% 14.29/9.42 (v110(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4656, 4655, 4641])).
% 14.29/9.42 tff(4658,plain,
% 14.29/9.42 ((v110(constB27) | v117(constB27)) | (~v110(constB27))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4659,plain,
% 14.29/9.42 (v110(constB27) | v117(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4658, 4657])).
% 14.29/9.42 tff(4660,plain,
% 14.29/9.42 ((~(v109(constB27) <=> (v110(constB27) | v117(constB27)))) | v109(constB27) | (~(v110(constB27) | v117(constB27)))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4661,plain,
% 14.29/9.42 (v109(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4660, 4659, 4639])).
% 14.29/9.42 tff(4662,plain,
% 14.29/9.42 ((v109(constB27) | v118(constB27)) | (~v109(constB27))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4663,plain,
% 14.29/9.42 (v109(constB27) | v118(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4662, 4661])).
% 14.29/9.42 tff(4664,plain,
% 14.29/9.42 ((~(v108(constB27) <=> (v109(constB27) | v118(constB27)))) | v108(constB27) | (~(v109(constB27) | v118(constB27)))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4665,plain,
% 14.29/9.42 (v108(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4664, 4663, 4637])).
% 14.29/9.42 tff(4666,plain,
% 14.29/9.42 ((v108(constB27) | v119(constB27)) | (~v108(constB27))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4667,plain,
% 14.29/9.42 (v108(constB27) | v119(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4666, 4665])).
% 14.29/9.42 tff(4668,plain,
% 14.29/9.42 ((~(v107(constB27) <=> (v108(constB27) | v119(constB27)))) | v107(constB27) | (~(v108(constB27) | v119(constB27)))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4669,plain,
% 14.29/9.42 (v107(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4668, 4667, 4635])).
% 14.29/9.42 tff(4670,plain,
% 14.29/9.42 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB27)) <=> v105(constB27))),
% 14.29/9.42 inference(quant_inst,[status(thm)],[])).
% 14.29/9.42 tff(4671,plain,
% 14.29/9.42 ((~v120(constB27)) <=> v105(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4670, 2484])).
% 14.29/9.42 tff(4672,plain,
% 14.29/9.42 ((~((~v120(constB27)) <=> v105(constB27))) | v120(constB27) | v105(constB27)),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4673,plain,
% 14.29/9.42 ((~((~v120(constB27)) <=> v105(constB27))) | v120(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4672, 1385])).
% 14.29/9.42 tff(4674,plain,
% 14.29/9.42 (v120(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4673, 4671])).
% 14.29/9.42 tff(4675,plain,
% 14.29/9.42 ((~((~v107(constB27)) | (~v120(constB27)))) | (~v107(constB27)) | (~v120(constB27))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4676,plain,
% 14.29/9.42 ((~((~v107(constB27)) | (~v120(constB27)))) | (~v107(constB27))),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4675, 4674])).
% 14.29/9.42 tff(4677,plain,
% 14.29/9.42 (~((~v107(constB27)) | (~v120(constB27)))),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4676, 4669])).
% 14.29/9.42 tff(4678,plain,
% 14.29/9.42 ((~(v106(constB27) <=> (~((~v107(constB27)) | (~v120(constB27)))))) | v106(constB27) | ((~v107(constB27)) | (~v120(constB27)))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4679,plain,
% 14.29/9.42 (v106(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4678, 4677, 4633])).
% 14.29/9.42 tff(4680,plain,
% 14.29/9.42 ((v105(constB27) | v106(constB27)) | (~v106(constB27))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4681,plain,
% 14.29/9.42 (v105(constB27) | v106(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4680, 4679])).
% 14.29/9.42 tff(4682,plain,
% 14.29/9.42 ((~(v102(constB27) <=> (v105(constB27) | v106(constB27)))) | v102(constB27) | (~(v105(constB27) | v106(constB27)))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4683,plain,
% 14.29/9.42 (v102(constB27)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4682, 4681, 4631])).
% 14.29/9.42 tff(4684,plain,
% 14.29/9.42 ((~(v104(constB28) <=> v102(constB27))) | v104(constB28) | (~v102(constB27))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4685,plain,
% 14.29/9.42 (v104(constB28)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4684, 4683, 4629])).
% 14.29/9.42 tff(4686,plain,
% 14.29/9.42 ((~((~v95(constB28)) | (~v104(constB28)))) | (~v95(constB28)) | (~v104(constB28))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4687,plain,
% 14.29/9.42 (~((~v95(constB28)) | (~v104(constB28)))),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4686, 4685, 4625])).
% 14.29/9.42 tff(4688,plain,
% 14.29/9.42 ((~(v94(constB28) <=> (~((~v95(constB28)) | (~v104(constB28)))))) | v94(constB28) | ((~v95(constB28)) | (~v104(constB28)))),
% 14.29/9.42 inference(tautology,[status(thm)],[])).
% 14.29/9.42 tff(4689,plain,
% 14.29/9.42 (v94(constB28)),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4688, 4687, 4597])).
% 14.29/9.42 tff(4690,plain,
% 14.29/9.42 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB28)) | (~(((~v84(constB28, 2)) <=> v123(constB28, 2)) | ((~v84(constB28, 1)) <=> v123(constB28, 1)) | ((~v84(constB28, 0)) <=> v123(constB28, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB28)) | (~(((~v84(constB28, 2)) <=> v123(constB28, 2)) | ((~v84(constB28, 1)) <=> v123(constB28, 1)) | ((~v84(constB28, 0)) <=> v123(constB28, 0)))))),
% 14.29/9.42 inference(rewrite,[status(thm)],[])).
% 14.29/9.42 tff(4691,plain,
% 14.29/9.42 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB28)) | (~(((~v84(constB28, 2)) <=> v123(constB28, 2)) | ((~v84(constB28, 1)) <=> v123(constB28, 1)) | ((~v84(constB28, 0)) <=> v123(constB28, 0)))))),
% 14.29/9.42 inference(quant_inst,[status(thm)],[])).
% 14.29/9.42 tff(4692,plain,
% 14.29/9.42 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB28)) | (~(((~v84(constB28, 2)) <=> v123(constB28, 2)) | ((~v84(constB28, 1)) <=> v123(constB28, 1)) | ((~v84(constB28, 0)) <=> v123(constB28, 0))))),
% 14.29/9.42 inference(modus_ponens,[status(thm)],[4691, 4690])).
% 14.29/9.42 tff(4693,plain,
% 14.29/9.42 ((~v94(constB28)) | (~(((~v84(constB28, 2)) <=> v123(constB28, 2)) | ((~v84(constB28, 1)) <=> v123(constB28, 1)) | ((~v84(constB28, 0)) <=> v123(constB28, 0))))),
% 14.29/9.42 inference(unit_resolution,[status(thm)],[4692, 2517])).
% 14.29/9.42 tff(4694,plain,
% 14.29/9.42 (~(((~v84(constB28, 2)) <=> v123(constB28, 2)) | ((~v84(constB28, 1)) <=> v123(constB28, 1)) | ((~v84(constB28, 0)) <=> v123(constB28, 0)))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4693, 4689])).
% 14.29/9.43 tff(4695,plain,
% 14.29/9.43 ((((~v84(constB28, 2)) <=> v123(constB28, 2)) | ((~v84(constB28, 1)) <=> v123(constB28, 1)) | ((~v84(constB28, 0)) <=> v123(constB28, 0))) | (~((~v84(constB28, 2)) <=> v123(constB28, 2)))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4696,plain,
% 14.29/9.43 (~((~v84(constB28, 2)) <=> v123(constB28, 2))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4695, 4694])).
% 14.29/9.43 tff(4697,plain,
% 14.29/9.43 (((~v84(constB28, 2)) <=> v123(constB28, 2)) | (~v84(constB28, 2)) | v123(constB28, 2)),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4698,plain,
% 14.29/9.43 (~v84(constB28, 2)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4697, 4696, 4593])).
% 14.29/9.43 tff(4699,plain,
% 14.29/9.43 (((~v84(constB29, 2)) <=> v84(constB28, 2)) | (~v84(constB29, 2)) | v84(constB28, 2)),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4700,plain,
% 14.29/9.43 (~v84(constB29, 2)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4699, 4698, 1369])).
% 14.29/9.43 tff(4701,plain,
% 14.29/9.43 ((((~v84(constB29, 1)) <=> v84(constB28, 1)) | ((~v84(constB29, 2)) <=> v84(constB28, 2)) | ((~v84(constB29, 0)) <=> v84(constB28, 0))) | (~((~v84(constB29, 0)) <=> v84(constB28, 0)))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4702,plain,
% 14.29/9.43 (~((~v84(constB29, 0)) <=> v84(constB28, 0))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4701, 1367])).
% 14.29/9.43 tff(4703,plain,
% 14.29/9.43 ((((~v123(constB28, 2)) <=> v121(constB27, 2)) | ((~v123(constB28, 1)) <=> v121(constB27, 1)) | ((~v123(constB28, 0)) <=> v121(constB27, 0))) | (~((~v123(constB28, 0)) <=> v121(constB27, 0)))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4704,plain,
% 14.29/9.43 (~((~v123(constB28, 0)) <=> v121(constB27, 0))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4703, 1376])).
% 14.29/9.43 tff(4705,plain,
% 14.29/9.43 ((((~v121(constB27, 2)) <=> v124(constB27, 2)) | ((~v121(constB27, 0)) <=> v124(constB27, 0)) | ((~v121(constB27, 1)) <=> v124(constB27, 1))) | (~((~v121(constB27, 0)) <=> v124(constB27, 0)))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4706,plain,
% 14.29/9.43 (~((~v121(constB27, 0)) <=> v124(constB27, 0))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4705, 1390])).
% 14.29/9.43 tff(4707,plain,
% 14.29/9.43 ((v124(constB27, 2) | v124(constB27, 0) | (~v124(constB27, 1))) | (~v124(constB27, 0))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4708,plain,
% 14.29/9.43 (~v124(constB27, 0)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4707, 4587])).
% 14.29/9.43 tff(4709,plain,
% 14.29/9.43 (((~v121(constB27, 0)) <=> v124(constB27, 0)) | (~v121(constB27, 0)) | v124(constB27, 0)),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4710,plain,
% 14.29/9.43 (~v121(constB27, 0)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4709, 4708, 4706])).
% 14.29/9.43 tff(4711,plain,
% 14.29/9.43 (((~v123(constB28, 0)) <=> v121(constB27, 0)) | (~v123(constB28, 0)) | v121(constB27, 0)),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4712,plain,
% 14.29/9.43 (~v123(constB28, 0)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4711, 4710, 4704])).
% 14.29/9.43 tff(4713,plain,
% 14.29/9.43 ((((~v84(constB28, 2)) <=> v123(constB28, 2)) | ((~v84(constB28, 1)) <=> v123(constB28, 1)) | ((~v84(constB28, 0)) <=> v123(constB28, 0))) | (~((~v84(constB28, 0)) <=> v123(constB28, 0)))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4714,plain,
% 14.29/9.43 (~((~v84(constB28, 0)) <=> v123(constB28, 0))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4713, 4694])).
% 14.29/9.43 tff(4715,plain,
% 14.29/9.43 (((~v84(constB28, 0)) <=> v123(constB28, 0)) | (~v84(constB28, 0)) | v123(constB28, 0)),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4716,plain,
% 14.29/9.43 (~v84(constB28, 0)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4715, 4714, 4712])).
% 14.29/9.43 tff(4717,plain,
% 14.29/9.43 (((~v84(constB29, 0)) <=> v84(constB28, 0)) | (~v84(constB29, 0)) | v84(constB28, 0)),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4718,plain,
% 14.29/9.43 (~v84(constB29, 0)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4717, 4716, 4702])).
% 14.29/9.43 tff(4719,plain,
% 14.29/9.43 ((((~v84(constB29, 1)) <=> v84(constB28, 1)) | ((~v84(constB29, 2)) <=> v84(constB28, 2)) | ((~v84(constB29, 0)) <=> v84(constB28, 0))) | (~((~v84(constB29, 1)) <=> v84(constB28, 1)))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4720,plain,
% 14.29/9.43 (~((~v84(constB29, 1)) <=> v84(constB28, 1))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4719, 1367])).
% 14.29/9.43 tff(4721,plain,
% 14.29/9.43 ((((~v123(constB28, 2)) <=> v121(constB27, 2)) | ((~v123(constB28, 1)) <=> v121(constB27, 1)) | ((~v123(constB28, 0)) <=> v121(constB27, 0))) | (~((~v123(constB28, 1)) <=> v121(constB27, 1)))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4722,plain,
% 14.29/9.43 (~((~v123(constB28, 1)) <=> v121(constB27, 1))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4721, 1376])).
% 14.29/9.43 tff(4723,plain,
% 14.29/9.43 ((((~v121(constB27, 2)) <=> v124(constB27, 2)) | ((~v121(constB27, 0)) <=> v124(constB27, 0)) | ((~v121(constB27, 1)) <=> v124(constB27, 1))) | (~((~v121(constB27, 1)) <=> v124(constB27, 1)))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4724,plain,
% 14.29/9.43 (~((~v121(constB27, 1)) <=> v124(constB27, 1))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4723, 1390])).
% 14.29/9.43 tff(4725,plain,
% 14.29/9.43 ((v124(constB27, 2) | v124(constB27, 0) | (~v124(constB27, 1))) | v124(constB27, 1)),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4726,plain,
% 14.29/9.43 (v124(constB27, 1)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4725, 4587])).
% 14.29/9.43 tff(4727,plain,
% 14.29/9.43 (((~v121(constB27, 1)) <=> v124(constB27, 1)) | v121(constB27, 1) | (~v124(constB27, 1))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4728,plain,
% 14.29/9.43 (v121(constB27, 1)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4727, 4726, 4724])).
% 14.29/9.43 tff(4729,plain,
% 14.29/9.43 (((~v123(constB28, 1)) <=> v121(constB27, 1)) | v123(constB28, 1) | (~v121(constB27, 1))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4730,plain,
% 14.29/9.43 (v123(constB28, 1)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4729, 4728, 4722])).
% 14.29/9.43 tff(4731,plain,
% 14.29/9.43 ((((~v84(constB28, 2)) <=> v123(constB28, 2)) | ((~v84(constB28, 1)) <=> v123(constB28, 1)) | ((~v84(constB28, 0)) <=> v123(constB28, 0))) | (~((~v84(constB28, 1)) <=> v123(constB28, 1)))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4732,plain,
% 14.29/9.43 (~((~v84(constB28, 1)) <=> v123(constB28, 1))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4731, 4694])).
% 14.29/9.43 tff(4733,plain,
% 14.29/9.43 (((~v84(constB28, 1)) <=> v123(constB28, 1)) | v84(constB28, 1) | (~v123(constB28, 1))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4734,plain,
% 14.29/9.43 (v84(constB28, 1)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4733, 4732, 4730])).
% 14.29/9.43 tff(4735,plain,
% 14.29/9.43 (((~v84(constB29, 1)) <=> v84(constB28, 1)) | v84(constB29, 1) | (~v84(constB28, 1))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4736,plain,
% 14.29/9.43 (v84(constB29, 1)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4735, 4734, 4720])).
% 14.29/9.43 tff(4737,plain,
% 14.29/9.43 ((~(v84(constB29, 2) | v84(constB29, 0) | (~v84(constB29, 1)))) | v84(constB29, 2) | v84(constB29, 0) | (~v84(constB29, 1))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4738,plain,
% 14.29/9.43 (~(v84(constB29, 2) | v84(constB29, 0) | (~v84(constB29, 1)))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4737, 4736, 4718, 4700])).
% 14.29/9.43 tff(4739,plain,
% 14.29/9.43 ((~(v115(constB29) <=> (~(v84(constB29, 2) | v84(constB29, 0) | (~v84(constB29, 1)))))) | v115(constB29) | (v84(constB29, 2) | v84(constB29, 0) | (~v84(constB29, 1)))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4740,plain,
% 14.29/9.43 (v115(constB29)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4739, 4738, 1333])).
% 14.29/9.43 tff(4741,plain,
% 14.29/9.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB29)) | (~(v124(constB29, 2) | (~v124(constB29, 0)) | (~v124(constB29, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB29)) | (~(v124(constB29, 2) | (~v124(constB29, 0)) | (~v124(constB29, 1)))))),
% 14.29/9.43 inference(rewrite,[status(thm)],[])).
% 14.29/9.43 tff(4742,plain,
% 14.29/9.43 (((~v115(constB29)) | (~(v124(constB29, 2) | (~v124(constB29, 1)) | (~v124(constB29, 0))))) <=> ((~v115(constB29)) | (~(v124(constB29, 2) | (~v124(constB29, 0)) | (~v124(constB29, 1)))))),
% 14.29/9.43 inference(rewrite,[status(thm)],[])).
% 14.29/9.43 tff(4743,plain,
% 14.29/9.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB29)) | (~(v124(constB29, 2) | (~v124(constB29, 1)) | (~v124(constB29, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB29)) | (~(v124(constB29, 2) | (~v124(constB29, 0)) | (~v124(constB29, 1))))))),
% 14.29/9.43 inference(monotonicity,[status(thm)],[4742])).
% 14.29/9.43 tff(4744,plain,
% 14.29/9.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB29)) | (~(v124(constB29, 2) | (~v124(constB29, 1)) | (~v124(constB29, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB29)) | (~(v124(constB29, 2) | (~v124(constB29, 0)) | (~v124(constB29, 1)))))),
% 14.29/9.43 inference(transitivity,[status(thm)],[4743, 4741])).
% 14.29/9.43 tff(4745,plain,
% 14.29/9.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB29)) | (~(v124(constB29, 2) | (~v124(constB29, 1)) | (~v124(constB29, 0)))))),
% 14.29/9.43 inference(quant_inst,[status(thm)],[])).
% 14.29/9.43 tff(4746,plain,
% 14.29/9.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB29)) | (~(v124(constB29, 2) | (~v124(constB29, 0)) | (~v124(constB29, 1))))),
% 14.29/9.43 inference(modus_ponens,[status(thm)],[4745, 4744])).
% 14.29/9.43 tff(4747,plain,
% 14.29/9.43 ((~v115(constB29)) | (~(v124(constB29, 2) | (~v124(constB29, 0)) | (~v124(constB29, 1))))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4746, 3138])).
% 14.29/9.43 tff(4748,plain,
% 14.29/9.43 (~(v124(constB29, 2) | (~v124(constB29, 0)) | (~v124(constB29, 1)))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4747, 4740])).
% 14.29/9.43 tff(4749,plain,
% 14.29/9.43 ((v124(constB29, 2) | (~v124(constB29, 0)) | (~v124(constB29, 1))) | (~v124(constB29, 2))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4750,plain,
% 14.29/9.43 (~v124(constB29, 2)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4749, 4748])).
% 14.29/9.43 tff(4751,plain,
% 14.29/9.43 (((~v121(constB29, 2)) <=> v124(constB29, 2)) | (~v121(constB29, 2)) | v124(constB29, 2)),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4752,plain,
% 14.29/9.43 (~v121(constB29, 2)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4751, 4750, 1326])).
% 14.29/9.43 tff(4753,plain,
% 14.29/9.43 (((~v123(constB30, 2)) <=> v121(constB29, 2)) | (~v123(constB30, 2)) | v121(constB29, 2)),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4754,plain,
% 14.29/9.43 (~v123(constB30, 2)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4753, 4752, 1312])).
% 14.29/9.43 tff(4755,plain,
% 14.29/9.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB29, constB30)) | (v94(constB30) <=> (~((~v95(constB30)) | (~v104(constB30))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB29, constB30)) | (v94(constB30) <=> (~((~v95(constB30)) | (~v104(constB30))))))),
% 14.29/9.43 inference(rewrite,[status(thm)],[])).
% 14.29/9.43 tff(4756,plain,
% 14.29/9.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB29, constB30)) | (v94(constB30) <=> (~((~v95(constB30)) | (~v104(constB30))))))),
% 14.29/9.43 inference(quant_inst,[status(thm)],[])).
% 14.29/9.43 tff(4757,plain,
% 14.29/9.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB29, constB30)) | (v94(constB30) <=> (~((~v95(constB30)) | (~v104(constB30)))))),
% 14.29/9.43 inference(modus_ponens,[status(thm)],[4756, 4755])).
% 14.29/9.43 tff(4758,plain,
% 14.29/9.43 (v94(constB30) <=> (~((~v95(constB30)) | (~v104(constB30))))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4757, 1306, 770])).
% 14.29/9.43 tff(4759,plain,
% 14.29/9.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30))))))),
% 14.29/9.43 inference(rewrite,[status(thm)],[])).
% 14.29/9.43 tff(4760,plain,
% 14.29/9.43 (((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v96(constB30)) | (~v1(constB30)))))) <=> ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30))))))),
% 14.29/9.43 inference(rewrite,[status(thm)],[])).
% 14.29/9.43 tff(4761,plain,
% 14.29/9.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v96(constB30)) | (~v1(constB30))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30)))))))),
% 14.29/9.43 inference(monotonicity,[status(thm)],[4760])).
% 14.29/9.43 tff(4762,plain,
% 14.29/9.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v96(constB30)) | (~v1(constB30))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30))))))),
% 14.29/9.43 inference(transitivity,[status(thm)],[4761, 4759])).
% 14.29/9.43 tff(4763,plain,
% 14.29/9.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v96(constB30)) | (~v1(constB30))))))),
% 14.29/9.43 inference(quant_inst,[status(thm)],[])).
% 14.29/9.43 tff(4764,plain,
% 14.29/9.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30)))))),
% 14.29/9.43 inference(modus_ponens,[status(thm)],[4763, 4762])).
% 14.29/9.43 tff(4765,plain,
% 14.29/9.43 (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30))))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4764, 1306, 790])).
% 14.29/9.43 tff(4766,plain,
% 14.29/9.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v96(constB30)) <=> v98(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB29, constB30)) | ((~v96(constB30)) <=> v98(constB30)))),
% 14.29/9.43 inference(rewrite,[status(thm)],[])).
% 14.29/9.43 tff(4767,plain,
% 14.29/9.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v96(constB30)) <=> v98(constB30)))),
% 14.29/9.43 inference(quant_inst,[status(thm)],[])).
% 14.29/9.43 tff(4768,plain,
% 14.29/9.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB29, constB30)) | ((~v96(constB30)) <=> v98(constB30))),
% 14.29/9.43 inference(modus_ponens,[status(thm)],[4767, 4766])).
% 14.29/9.43 tff(4769,plain,
% 14.29/9.43 ((~v96(constB30)) <=> v98(constB30)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4768, 1306, 2332])).
% 14.29/9.43 tff(4770,plain,
% 14.29/9.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v98(constB30) <=> v1(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v98(constB30) <=> v1(constB29)))),
% 14.29/9.43 inference(rewrite,[status(thm)],[])).
% 14.29/9.43 tff(4771,plain,
% 14.29/9.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v98(constB30) <=> v1(constB29)))),
% 14.29/9.43 inference(quant_inst,[status(thm)],[])).
% 14.29/9.43 tff(4772,plain,
% 14.29/9.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v98(constB30) <=> v1(constB29))),
% 14.29/9.43 inference(modus_ponens,[status(thm)],[4771, 4770])).
% 14.29/9.43 tff(4773,plain,
% 14.29/9.43 (v98(constB30) <=> v1(constB29)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4772, 1306, 2346])).
% 14.29/9.43 tff(4774,plain,
% 14.29/9.43 ((~(v98(constB30) <=> v1(constB29))) | (~v98(constB30)) | v1(constB29)),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4775,plain,
% 14.29/9.43 ((~(v98(constB30) <=> v1(constB29))) | (~v98(constB30))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4774, 1350])).
% 14.29/9.43 tff(4776,plain,
% 14.29/9.43 (~v98(constB30)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4775, 4773])).
% 14.29/9.43 tff(4777,plain,
% 14.29/9.43 ((~((~v96(constB30)) <=> v98(constB30))) | v96(constB30) | v98(constB30)),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4778,plain,
% 14.29/9.43 (v96(constB30)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4777, 4776, 4769])).
% 14.29/9.43 tff(4779,plain,
% 14.29/9.43 (v1(constB30) <=> v1(constB30)),
% 14.29/9.43 inference(rewrite,[status(thm)],[])).
% 14.29/9.43 tff(4780,axiom,(v1(constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_30')).
% 14.29/9.43 tff(4781,plain,
% 14.29/9.43 (v1(constB30)),
% 14.29/9.43 inference(modus_ponens,[status(thm)],[4780, 4779])).
% 14.29/9.43 tff(4782,plain,
% 14.29/9.43 ((~((~v1(constB30)) | (~v96(constB30)))) | (~v1(constB30)) | (~v96(constB30))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4783,plain,
% 14.29/9.43 ((~((~v1(constB30)) | (~v96(constB30)))) | (~v96(constB30))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4782, 4781])).
% 14.29/9.43 tff(4784,plain,
% 14.29/9.43 (~((~v1(constB30)) | (~v96(constB30)))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4783, 4778])).
% 14.29/9.43 tff(4785,plain,
% 14.29/9.43 ((~(v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30)))))) | v95(constB30) | ((~v1(constB30)) | (~v96(constB30)))),
% 14.29/9.43 inference(tautology,[status(thm)],[])).
% 14.29/9.43 tff(4786,plain,
% 14.29/9.43 (v95(constB30)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4785, 4784, 4765])).
% 14.29/9.43 tff(4787,plain,
% 14.29/9.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v102(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v102(constB29)))),
% 14.29/9.43 inference(rewrite,[status(thm)],[])).
% 14.29/9.43 tff(4788,plain,
% 14.29/9.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v102(constB29)))),
% 14.29/9.43 inference(quant_inst,[status(thm)],[])).
% 14.29/9.43 tff(4789,plain,
% 14.29/9.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v102(constB29))),
% 14.29/9.43 inference(modus_ponens,[status(thm)],[4788, 4787])).
% 14.29/9.43 tff(4790,plain,
% 14.29/9.43 (v104(constB30) <=> v102(constB29)),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4789, 1306, 2373])).
% 14.29/9.43 tff(4791,plain,
% 14.29/9.43 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB29) <=> (v105(constB29) | v106(constB29)))),
% 14.29/9.43 inference(quant_inst,[status(thm)],[])).
% 14.29/9.43 tff(4792,plain,
% 14.29/9.43 (v102(constB29) <=> (v105(constB29) | v106(constB29))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4791, 2384])).
% 14.29/9.43 tff(4793,plain,
% 14.29/9.43 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB29) <=> (~((~v107(constB29)) | (~v120(constB29)))))),
% 14.29/9.43 inference(quant_inst,[status(thm)],[])).
% 14.29/9.43 tff(4794,plain,
% 14.29/9.43 (v106(constB29) <=> (~((~v107(constB29)) | (~v120(constB29))))),
% 14.29/9.43 inference(unit_resolution,[status(thm)],[4793, 2396])).
% 14.29/9.44 tff(4795,plain,
% 14.29/9.44 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB29) <=> (v108(constB29) | v119(constB29)))),
% 14.29/9.44 inference(quant_inst,[status(thm)],[])).
% 14.29/9.44 tff(4796,plain,
% 14.29/9.44 (v107(constB29) <=> (v108(constB29) | v119(constB29))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4795, 2405])).
% 14.29/9.44 tff(4797,plain,
% 14.29/9.44 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB29) <=> (v109(constB29) | v118(constB29)))),
% 14.29/9.44 inference(quant_inst,[status(thm)],[])).
% 14.29/9.44 tff(4798,plain,
% 14.29/9.44 (v108(constB29) <=> (v109(constB29) | v118(constB29))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4797, 2414])).
% 14.29/9.44 tff(4799,plain,
% 14.29/9.44 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB29) <=> (v110(constB29) | v117(constB29)))),
% 14.29/9.44 inference(quant_inst,[status(thm)],[])).
% 14.29/9.44 tff(4800,plain,
% 14.29/9.44 (v109(constB29) <=> (v110(constB29) | v117(constB29))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4799, 2423])).
% 14.29/9.44 tff(4801,plain,
% 14.29/9.44 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB29) <=> (v111(constB29) | v116(constB29)))),
% 14.29/9.44 inference(quant_inst,[status(thm)],[])).
% 14.29/9.44 tff(4802,plain,
% 14.29/9.44 (v110(constB29) <=> (v111(constB29) | v116(constB29))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4801, 2432])).
% 14.29/9.44 tff(4803,plain,
% 14.29/9.44 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB29) <=> (v112(constB29) | v115(constB29)))),
% 14.29/9.44 inference(quant_inst,[status(thm)],[])).
% 14.29/9.44 tff(4804,plain,
% 14.29/9.44 (v111(constB29) <=> (v112(constB29) | v115(constB29))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4803, 2441])).
% 14.29/9.44 tff(4805,plain,
% 14.29/9.44 ((v112(constB29) | v115(constB29)) | (~v115(constB29))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4806,plain,
% 14.29/9.44 (v112(constB29) | v115(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4805, 4740])).
% 14.29/9.44 tff(4807,plain,
% 14.29/9.44 ((~(v111(constB29) <=> (v112(constB29) | v115(constB29)))) | v111(constB29) | (~(v112(constB29) | v115(constB29)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4808,plain,
% 14.29/9.44 (v111(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4807, 4806, 4804])).
% 14.29/9.44 tff(4809,plain,
% 14.29/9.44 ((v111(constB29) | v116(constB29)) | (~v111(constB29))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4810,plain,
% 14.29/9.44 (v111(constB29) | v116(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4809, 4808])).
% 14.29/9.44 tff(4811,plain,
% 14.29/9.44 ((~(v110(constB29) <=> (v111(constB29) | v116(constB29)))) | v110(constB29) | (~(v111(constB29) | v116(constB29)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4812,plain,
% 14.29/9.44 (v110(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4811, 4810, 4802])).
% 14.29/9.44 tff(4813,plain,
% 14.29/9.44 ((v110(constB29) | v117(constB29)) | (~v110(constB29))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4814,plain,
% 14.29/9.44 (v110(constB29) | v117(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4813, 4812])).
% 14.29/9.44 tff(4815,plain,
% 14.29/9.44 ((~(v109(constB29) <=> (v110(constB29) | v117(constB29)))) | v109(constB29) | (~(v110(constB29) | v117(constB29)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4816,plain,
% 14.29/9.44 (v109(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4815, 4814, 4800])).
% 14.29/9.44 tff(4817,plain,
% 14.29/9.44 ((v109(constB29) | v118(constB29)) | (~v109(constB29))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4818,plain,
% 14.29/9.44 (v109(constB29) | v118(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4817, 4816])).
% 14.29/9.44 tff(4819,plain,
% 14.29/9.44 ((~(v108(constB29) <=> (v109(constB29) | v118(constB29)))) | v108(constB29) | (~(v109(constB29) | v118(constB29)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4820,plain,
% 14.29/9.44 (v108(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4819, 4818, 4798])).
% 14.29/9.44 tff(4821,plain,
% 14.29/9.44 ((v108(constB29) | v119(constB29)) | (~v108(constB29))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4822,plain,
% 14.29/9.44 (v108(constB29) | v119(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4821, 4820])).
% 14.29/9.44 tff(4823,plain,
% 14.29/9.44 ((~(v107(constB29) <=> (v108(constB29) | v119(constB29)))) | v107(constB29) | (~(v108(constB29) | v119(constB29)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4824,plain,
% 14.29/9.44 (v107(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4823, 4822, 4796])).
% 14.29/9.44 tff(4825,plain,
% 14.29/9.44 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB29)) <=> v105(constB29))),
% 14.29/9.44 inference(quant_inst,[status(thm)],[])).
% 14.29/9.44 tff(4826,plain,
% 14.29/9.44 ((~v120(constB29)) <=> v105(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4825, 2484])).
% 14.29/9.44 tff(4827,plain,
% 14.29/9.44 ((~((~v120(constB29)) <=> v105(constB29))) | v120(constB29) | v105(constB29)),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4828,plain,
% 14.29/9.44 ((~((~v120(constB29)) <=> v105(constB29))) | v120(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4827, 1319])).
% 14.29/9.44 tff(4829,plain,
% 14.29/9.44 (v120(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4828, 4826])).
% 14.29/9.44 tff(4830,plain,
% 14.29/9.44 ((~((~v107(constB29)) | (~v120(constB29)))) | (~v107(constB29)) | (~v120(constB29))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4831,plain,
% 14.29/9.44 ((~((~v107(constB29)) | (~v120(constB29)))) | (~v107(constB29))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4830, 4829])).
% 14.29/9.44 tff(4832,plain,
% 14.29/9.44 (~((~v107(constB29)) | (~v120(constB29)))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4831, 4824])).
% 14.29/9.44 tff(4833,plain,
% 14.29/9.44 ((~(v106(constB29) <=> (~((~v107(constB29)) | (~v120(constB29)))))) | v106(constB29) | ((~v107(constB29)) | (~v120(constB29)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4834,plain,
% 14.29/9.44 (v106(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4833, 4832, 4794])).
% 14.29/9.44 tff(4835,plain,
% 14.29/9.44 ((v105(constB29) | v106(constB29)) | (~v106(constB29))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4836,plain,
% 14.29/9.44 (v105(constB29) | v106(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4835, 4834])).
% 14.29/9.44 tff(4837,plain,
% 14.29/9.44 ((~(v102(constB29) <=> (v105(constB29) | v106(constB29)))) | v102(constB29) | (~(v105(constB29) | v106(constB29)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4838,plain,
% 14.29/9.44 (v102(constB29)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4837, 4836, 4792])).
% 14.29/9.44 tff(4839,plain,
% 14.29/9.44 ((~(v104(constB30) <=> v102(constB29))) | v104(constB30) | (~v102(constB29))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4840,plain,
% 14.29/9.44 (v104(constB30)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4839, 4838, 4790])).
% 14.29/9.44 tff(4841,plain,
% 14.29/9.44 ((~((~v95(constB30)) | (~v104(constB30)))) | (~v95(constB30)) | (~v104(constB30))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4842,plain,
% 14.29/9.44 (~((~v95(constB30)) | (~v104(constB30)))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4841, 4840, 4786])).
% 14.29/9.44 tff(4843,plain,
% 14.29/9.44 ((~(v94(constB30) <=> (~((~v95(constB30)) | (~v104(constB30)))))) | v94(constB30) | ((~v95(constB30)) | (~v104(constB30)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4844,plain,
% 14.29/9.44 (v94(constB30)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4843, 4842, 4758])).
% 14.29/9.44 tff(4845,plain,
% 14.29/9.44 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB30)) | (~(((~v84(constB30, 0)) <=> v123(constB30, 0)) | ((~v84(constB30, 2)) <=> v123(constB30, 2)) | ((~v84(constB30, 1)) <=> v123(constB30, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB30)) | (~(((~v84(constB30, 0)) <=> v123(constB30, 0)) | ((~v84(constB30, 2)) <=> v123(constB30, 2)) | ((~v84(constB30, 1)) <=> v123(constB30, 1)))))),
% 14.29/9.44 inference(rewrite,[status(thm)],[])).
% 14.29/9.44 tff(4846,plain,
% 14.29/9.44 (((~v94(constB30)) | (~(((~v84(constB30, 2)) <=> v123(constB30, 2)) | ((~v84(constB30, 1)) <=> v123(constB30, 1)) | ((~v84(constB30, 0)) <=> v123(constB30, 0))))) <=> ((~v94(constB30)) | (~(((~v84(constB30, 0)) <=> v123(constB30, 0)) | ((~v84(constB30, 2)) <=> v123(constB30, 2)) | ((~v84(constB30, 1)) <=> v123(constB30, 1)))))),
% 14.29/9.44 inference(rewrite,[status(thm)],[])).
% 14.29/9.44 tff(4847,plain,
% 14.29/9.44 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB30)) | (~(((~v84(constB30, 2)) <=> v123(constB30, 2)) | ((~v84(constB30, 1)) <=> v123(constB30, 1)) | ((~v84(constB30, 0)) <=> v123(constB30, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB30)) | (~(((~v84(constB30, 0)) <=> v123(constB30, 0)) | ((~v84(constB30, 2)) <=> v123(constB30, 2)) | ((~v84(constB30, 1)) <=> v123(constB30, 1))))))),
% 14.29/9.44 inference(monotonicity,[status(thm)],[4846])).
% 14.29/9.44 tff(4848,plain,
% 14.29/9.44 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB30)) | (~(((~v84(constB30, 2)) <=> v123(constB30, 2)) | ((~v84(constB30, 1)) <=> v123(constB30, 1)) | ((~v84(constB30, 0)) <=> v123(constB30, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB30)) | (~(((~v84(constB30, 0)) <=> v123(constB30, 0)) | ((~v84(constB30, 2)) <=> v123(constB30, 2)) | ((~v84(constB30, 1)) <=> v123(constB30, 1)))))),
% 14.29/9.44 inference(transitivity,[status(thm)],[4847, 4845])).
% 14.29/9.44 tff(4849,plain,
% 14.29/9.44 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB30)) | (~(((~v84(constB30, 2)) <=> v123(constB30, 2)) | ((~v84(constB30, 1)) <=> v123(constB30, 1)) | ((~v84(constB30, 0)) <=> v123(constB30, 0)))))),
% 14.29/9.44 inference(quant_inst,[status(thm)],[])).
% 14.29/9.44 tff(4850,plain,
% 14.29/9.44 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB30)) | (~(((~v84(constB30, 0)) <=> v123(constB30, 0)) | ((~v84(constB30, 2)) <=> v123(constB30, 2)) | ((~v84(constB30, 1)) <=> v123(constB30, 1))))),
% 14.29/9.44 inference(modus_ponens,[status(thm)],[4849, 4848])).
% 14.29/9.44 tff(4851,plain,
% 14.29/9.44 ((~v94(constB30)) | (~(((~v84(constB30, 0)) <=> v123(constB30, 0)) | ((~v84(constB30, 2)) <=> v123(constB30, 2)) | ((~v84(constB30, 1)) <=> v123(constB30, 1))))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4850, 2517])).
% 14.29/9.44 tff(4852,plain,
% 14.29/9.44 (~(((~v84(constB30, 0)) <=> v123(constB30, 0)) | ((~v84(constB30, 2)) <=> v123(constB30, 2)) | ((~v84(constB30, 1)) <=> v123(constB30, 1)))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4851, 4844])).
% 14.29/9.44 tff(4853,plain,
% 14.29/9.44 ((((~v84(constB30, 0)) <=> v123(constB30, 0)) | ((~v84(constB30, 2)) <=> v123(constB30, 2)) | ((~v84(constB30, 1)) <=> v123(constB30, 1))) | (~((~v84(constB30, 2)) <=> v123(constB30, 2)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4854,plain,
% 14.29/9.44 (~((~v84(constB30, 2)) <=> v123(constB30, 2))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4853, 4852])).
% 14.29/9.44 tff(4855,plain,
% 14.29/9.44 (((~v84(constB30, 2)) <=> v123(constB30, 2)) | (~v84(constB30, 2)) | v123(constB30, 2)),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4856,plain,
% 14.29/9.44 (~v84(constB30, 2)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4855, 4854, 4754])).
% 14.29/9.44 tff(4857,plain,
% 14.29/9.44 (((~v84(constB31, 2)) <=> v84(constB30, 2)) | (~v84(constB31, 2)) | v84(constB30, 2)),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4858,plain,
% 14.29/9.44 (~v84(constB31, 2)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4857, 4856, 1303])).
% 14.29/9.44 tff(4859,plain,
% 14.29/9.44 ((((~v84(constB31, 1)) <=> v84(constB30, 1)) | ((~v84(constB31, 2)) <=> v84(constB30, 2)) | ((~v84(constB31, 0)) <=> v84(constB30, 0))) | (~((~v84(constB31, 0)) <=> v84(constB30, 0)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4860,plain,
% 14.29/9.44 (~((~v84(constB31, 0)) <=> v84(constB30, 0))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4859, 1301])).
% 14.29/9.44 tff(4861,plain,
% 14.29/9.44 ((((~v123(constB30, 2)) <=> v121(constB29, 2)) | ((~v123(constB30, 1)) <=> v121(constB29, 1)) | ((~v123(constB30, 0)) <=> v121(constB29, 0))) | (~((~v123(constB30, 0)) <=> v121(constB29, 0)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4862,plain,
% 14.29/9.44 (~((~v123(constB30, 0)) <=> v121(constB29, 0))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4861, 1310])).
% 14.29/9.44 tff(4863,plain,
% 14.29/9.44 ((((~v121(constB29, 2)) <=> v124(constB29, 2)) | ((~v121(constB29, 0)) <=> v124(constB29, 0)) | ((~v121(constB29, 1)) <=> v124(constB29, 1))) | (~((~v121(constB29, 0)) <=> v124(constB29, 0)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4864,plain,
% 14.29/9.44 (~((~v121(constB29, 0)) <=> v124(constB29, 0))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4863, 1324])).
% 14.29/9.44 tff(4865,plain,
% 14.29/9.44 ((v124(constB29, 2) | (~v124(constB29, 0)) | (~v124(constB29, 1))) | v124(constB29, 0)),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4866,plain,
% 14.29/9.44 (v124(constB29, 0)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4865, 4748])).
% 14.29/9.44 tff(4867,plain,
% 14.29/9.44 (((~v121(constB29, 0)) <=> v124(constB29, 0)) | v121(constB29, 0) | (~v124(constB29, 0))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4868,plain,
% 14.29/9.44 (v121(constB29, 0)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4867, 4866, 4864])).
% 14.29/9.44 tff(4869,plain,
% 14.29/9.44 (((~v123(constB30, 0)) <=> v121(constB29, 0)) | v123(constB30, 0) | (~v121(constB29, 0))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4870,plain,
% 14.29/9.44 (v123(constB30, 0)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4869, 4868, 4862])).
% 14.29/9.44 tff(4871,plain,
% 14.29/9.44 ((((~v84(constB30, 0)) <=> v123(constB30, 0)) | ((~v84(constB30, 2)) <=> v123(constB30, 2)) | ((~v84(constB30, 1)) <=> v123(constB30, 1))) | (~((~v84(constB30, 0)) <=> v123(constB30, 0)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4872,plain,
% 14.29/9.44 (~((~v84(constB30, 0)) <=> v123(constB30, 0))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4871, 4852])).
% 14.29/9.44 tff(4873,plain,
% 14.29/9.44 (((~v84(constB30, 0)) <=> v123(constB30, 0)) | v84(constB30, 0) | (~v123(constB30, 0))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4874,plain,
% 14.29/9.44 (v84(constB30, 0)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4873, 4872, 4870])).
% 14.29/9.44 tff(4875,plain,
% 14.29/9.44 (((~v84(constB31, 0)) <=> v84(constB30, 0)) | v84(constB31, 0) | (~v84(constB30, 0))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4876,plain,
% 14.29/9.44 (v84(constB31, 0)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4875, 4874, 4860])).
% 14.29/9.44 tff(4877,plain,
% 14.29/9.44 ((((~v84(constB31, 1)) <=> v84(constB30, 1)) | ((~v84(constB31, 2)) <=> v84(constB30, 2)) | ((~v84(constB31, 0)) <=> v84(constB30, 0))) | (~((~v84(constB31, 1)) <=> v84(constB30, 1)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4878,plain,
% 14.29/9.44 (~((~v84(constB31, 1)) <=> v84(constB30, 1))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4877, 1301])).
% 14.29/9.44 tff(4879,plain,
% 14.29/9.44 ((((~v123(constB30, 2)) <=> v121(constB29, 2)) | ((~v123(constB30, 1)) <=> v121(constB29, 1)) | ((~v123(constB30, 0)) <=> v121(constB29, 0))) | (~((~v123(constB30, 1)) <=> v121(constB29, 1)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4880,plain,
% 14.29/9.44 (~((~v123(constB30, 1)) <=> v121(constB29, 1))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4879, 1310])).
% 14.29/9.44 tff(4881,plain,
% 14.29/9.44 ((((~v121(constB29, 2)) <=> v124(constB29, 2)) | ((~v121(constB29, 0)) <=> v124(constB29, 0)) | ((~v121(constB29, 1)) <=> v124(constB29, 1))) | (~((~v121(constB29, 1)) <=> v124(constB29, 1)))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4882,plain,
% 14.29/9.44 (~((~v121(constB29, 1)) <=> v124(constB29, 1))),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4881, 1324])).
% 14.29/9.44 tff(4883,plain,
% 14.29/9.44 ((v124(constB29, 2) | (~v124(constB29, 0)) | (~v124(constB29, 1))) | v124(constB29, 1)),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4884,plain,
% 14.29/9.44 (v124(constB29, 1)),
% 14.29/9.44 inference(unit_resolution,[status(thm)],[4883, 4748])).
% 14.29/9.44 tff(4885,plain,
% 14.29/9.44 (((~v121(constB29, 1)) <=> v124(constB29, 1)) | v121(constB29, 1) | (~v124(constB29, 1))),
% 14.29/9.44 inference(tautology,[status(thm)],[])).
% 14.29/9.44 tff(4886,plain,
% 14.29/9.45 (v121(constB29, 1)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4885, 4884, 4882])).
% 14.29/9.45 tff(4887,plain,
% 14.29/9.45 (((~v123(constB30, 1)) <=> v121(constB29, 1)) | v123(constB30, 1) | (~v121(constB29, 1))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4888,plain,
% 14.29/9.45 (v123(constB30, 1)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4887, 4886, 4880])).
% 14.29/9.45 tff(4889,plain,
% 14.29/9.45 ((((~v84(constB30, 0)) <=> v123(constB30, 0)) | ((~v84(constB30, 2)) <=> v123(constB30, 2)) | ((~v84(constB30, 1)) <=> v123(constB30, 1))) | (~((~v84(constB30, 1)) <=> v123(constB30, 1)))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4890,plain,
% 14.29/9.45 (~((~v84(constB30, 1)) <=> v123(constB30, 1))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4889, 4852])).
% 14.29/9.45 tff(4891,plain,
% 14.29/9.45 (((~v84(constB30, 1)) <=> v123(constB30, 1)) | v84(constB30, 1) | (~v123(constB30, 1))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4892,plain,
% 14.29/9.45 (v84(constB30, 1)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4891, 4890, 4888])).
% 14.29/9.45 tff(4893,plain,
% 14.29/9.45 (((~v84(constB31, 1)) <=> v84(constB30, 1)) | v84(constB31, 1) | (~v84(constB30, 1))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4894,plain,
% 14.29/9.45 (v84(constB31, 1)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4893, 4892, 4878])).
% 14.29/9.45 tff(4895,plain,
% 14.29/9.45 ((~(v84(constB31, 2) | (~v84(constB31, 1)) | (~v84(constB31, 0)))) | v84(constB31, 2) | (~v84(constB31, 1)) | (~v84(constB31, 0))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4896,plain,
% 14.29/9.45 (~(v84(constB31, 2) | (~v84(constB31, 1)) | (~v84(constB31, 0)))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4895, 4894, 4876, 4858])).
% 14.29/9.45 tff(4897,plain,
% 14.29/9.45 ((~(v116(constB31) <=> (~(v84(constB31, 2) | (~v84(constB31, 1)) | (~v84(constB31, 0)))))) | v116(constB31) | (v84(constB31, 2) | (~v84(constB31, 1)) | (~v84(constB31, 0)))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4898,plain,
% 14.29/9.45 (v116(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4897, 4896, 1267])).
% 14.29/9.45 tff(4899,plain,
% 14.29/9.45 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB31)) | (~(v124(constB31, 0) | v124(constB31, 1) | (~v124(constB31, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB31)) | (~(v124(constB31, 0) | v124(constB31, 1) | (~v124(constB31, 2)))))),
% 14.29/9.45 inference(rewrite,[status(thm)],[])).
% 14.29/9.45 tff(4900,plain,
% 14.29/9.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB31)) | (~(v124(constB31, 0) | v124(constB31, 1) | (~v124(constB31, 2)))))),
% 14.29/9.45 inference(quant_inst,[status(thm)],[])).
% 14.29/9.45 tff(4901,plain,
% 14.29/9.45 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB31)) | (~(v124(constB31, 0) | v124(constB31, 1) | (~v124(constB31, 2))))),
% 14.29/9.45 inference(modus_ponens,[status(thm)],[4900, 4899])).
% 14.29/9.45 tff(4902,plain,
% 14.29/9.45 ((~v116(constB31)) | (~(v124(constB31, 0) | v124(constB31, 1) | (~v124(constB31, 2))))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4901, 3309])).
% 14.29/9.45 tff(4903,plain,
% 14.29/9.45 (~(v124(constB31, 0) | v124(constB31, 1) | (~v124(constB31, 2)))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4902, 4898])).
% 14.29/9.45 tff(4904,plain,
% 14.29/9.45 ((v124(constB31, 0) | v124(constB31, 1) | (~v124(constB31, 2))) | v124(constB31, 2)),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4905,plain,
% 14.29/9.45 (v124(constB31, 2)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4904, 4903])).
% 14.29/9.45 tff(4906,plain,
% 14.29/9.45 (((~v121(constB31, 2)) <=> v124(constB31, 2)) | v121(constB31, 2) | (~v124(constB31, 2))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4907,plain,
% 14.29/9.45 (v121(constB31, 2)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4906, 4905, 1265])).
% 14.29/9.45 tff(4908,plain,
% 14.29/9.45 (((~v123(constB32, 2)) <=> v121(constB31, 2)) | v123(constB32, 2) | (~v121(constB31, 2))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4909,plain,
% 14.29/9.45 (v123(constB32, 2)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4908, 4907, 1251])).
% 14.29/9.45 tff(4910,plain,
% 14.29/9.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB31, constB32)) | (v94(constB32) <=> (~((~v95(constB32)) | (~v104(constB32))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB31, constB32)) | (v94(constB32) <=> (~((~v95(constB32)) | (~v104(constB32))))))),
% 14.29/9.45 inference(rewrite,[status(thm)],[])).
% 14.29/9.45 tff(4911,plain,
% 14.29/9.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB31, constB32)) | (v94(constB32) <=> (~((~v95(constB32)) | (~v104(constB32))))))),
% 14.29/9.45 inference(quant_inst,[status(thm)],[])).
% 14.29/9.45 tff(4912,plain,
% 14.29/9.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB31, constB32)) | (v94(constB32) <=> (~((~v95(constB32)) | (~v104(constB32)))))),
% 14.29/9.45 inference(modus_ponens,[status(thm)],[4911, 4910])).
% 14.29/9.45 tff(4913,plain,
% 14.29/9.45 (v94(constB32) <=> (~((~v95(constB32)) | (~v104(constB32))))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4912, 1245, 770])).
% 14.29/9.45 tff(4914,plain,
% 14.29/9.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32))))))),
% 14.29/9.45 inference(rewrite,[status(thm)],[])).
% 14.29/9.45 tff(4915,plain,
% 14.29/9.45 (((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v96(constB32)) | (~v1(constB32)))))) <=> ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32))))))),
% 14.29/9.45 inference(rewrite,[status(thm)],[])).
% 14.29/9.45 tff(4916,plain,
% 14.29/9.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v96(constB32)) | (~v1(constB32))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32)))))))),
% 14.29/9.45 inference(monotonicity,[status(thm)],[4915])).
% 14.29/9.45 tff(4917,plain,
% 14.29/9.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v96(constB32)) | (~v1(constB32))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32))))))),
% 14.29/9.45 inference(transitivity,[status(thm)],[4916, 4914])).
% 14.29/9.45 tff(4918,plain,
% 14.29/9.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v96(constB32)) | (~v1(constB32))))))),
% 14.29/9.45 inference(quant_inst,[status(thm)],[])).
% 14.29/9.45 tff(4919,plain,
% 14.29/9.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32)))))),
% 14.29/9.45 inference(modus_ponens,[status(thm)],[4918, 4917])).
% 14.29/9.45 tff(4920,plain,
% 14.29/9.45 (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32))))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4919, 1245, 790])).
% 14.29/9.45 tff(4921,plain,
% 14.29/9.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB31, constB32)) | ((~v96(constB32)) <=> v98(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB31, constB32)) | ((~v96(constB32)) <=> v98(constB32)))),
% 14.29/9.45 inference(rewrite,[status(thm)],[])).
% 14.29/9.45 tff(4922,plain,
% 14.29/9.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB31, constB32)) | ((~v96(constB32)) <=> v98(constB32)))),
% 14.29/9.45 inference(quant_inst,[status(thm)],[])).
% 14.29/9.45 tff(4923,plain,
% 14.29/9.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB31, constB32)) | ((~v96(constB32)) <=> v98(constB32))),
% 14.29/9.45 inference(modus_ponens,[status(thm)],[4922, 4921])).
% 14.29/9.45 tff(4924,plain,
% 14.29/9.45 ((~v96(constB32)) <=> v98(constB32)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4923, 1245, 2332])).
% 14.29/9.45 tff(4925,plain,
% 14.29/9.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v98(constB32) <=> v1(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v98(constB32) <=> v1(constB31)))),
% 14.29/9.45 inference(rewrite,[status(thm)],[])).
% 14.29/9.45 tff(4926,plain,
% 14.29/9.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v98(constB32) <=> v1(constB31)))),
% 14.29/9.45 inference(quant_inst,[status(thm)],[])).
% 14.29/9.45 tff(4927,plain,
% 14.29/9.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v98(constB32) <=> v1(constB31))),
% 14.29/9.45 inference(modus_ponens,[status(thm)],[4926, 4925])).
% 14.29/9.45 tff(4928,plain,
% 14.29/9.45 (v98(constB32) <=> v1(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4927, 1245, 2346])).
% 14.29/9.45 tff(4929,plain,
% 14.29/9.45 ((~(v98(constB32) <=> v1(constB31))) | (~v98(constB32)) | v1(constB31)),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4930,plain,
% 14.29/9.45 ((~(v98(constB32) <=> v1(constB31))) | (~v98(constB32))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4929, 1284])).
% 14.29/9.45 tff(4931,plain,
% 14.29/9.45 (~v98(constB32)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4930, 4928])).
% 14.29/9.45 tff(4932,plain,
% 14.29/9.45 ((~((~v96(constB32)) <=> v98(constB32))) | v96(constB32) | v98(constB32)),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4933,plain,
% 14.29/9.45 (v96(constB32)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4932, 4931, 4924])).
% 14.29/9.45 tff(4934,plain,
% 14.29/9.45 (v1(constB32) <=> v1(constB32)),
% 14.29/9.45 inference(rewrite,[status(thm)],[])).
% 14.29/9.45 tff(4935,axiom,(v1(constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_32')).
% 14.29/9.45 tff(4936,plain,
% 14.29/9.45 (v1(constB32)),
% 14.29/9.45 inference(modus_ponens,[status(thm)],[4935, 4934])).
% 14.29/9.45 tff(4937,plain,
% 14.29/9.45 ((~((~v1(constB32)) | (~v96(constB32)))) | (~v1(constB32)) | (~v96(constB32))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4938,plain,
% 14.29/9.45 ((~((~v1(constB32)) | (~v96(constB32)))) | (~v96(constB32))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4937, 4936])).
% 14.29/9.45 tff(4939,plain,
% 14.29/9.45 (~((~v1(constB32)) | (~v96(constB32)))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4938, 4933])).
% 14.29/9.45 tff(4940,plain,
% 14.29/9.45 ((~(v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32)))))) | v95(constB32) | ((~v1(constB32)) | (~v96(constB32)))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4941,plain,
% 14.29/9.45 (v95(constB32)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4940, 4939, 4920])).
% 14.29/9.45 tff(4942,plain,
% 14.29/9.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v102(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v102(constB31)))),
% 14.29/9.45 inference(rewrite,[status(thm)],[])).
% 14.29/9.45 tff(4943,plain,
% 14.29/9.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v102(constB31)))),
% 14.29/9.45 inference(quant_inst,[status(thm)],[])).
% 14.29/9.45 tff(4944,plain,
% 14.29/9.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v102(constB31))),
% 14.29/9.45 inference(modus_ponens,[status(thm)],[4943, 4942])).
% 14.29/9.45 tff(4945,plain,
% 14.29/9.45 (v104(constB32) <=> v102(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4944, 1245, 2373])).
% 14.29/9.45 tff(4946,plain,
% 14.29/9.45 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB31) <=> (v105(constB31) | v106(constB31)))),
% 14.29/9.45 inference(quant_inst,[status(thm)],[])).
% 14.29/9.45 tff(4947,plain,
% 14.29/9.45 (v102(constB31) <=> (v105(constB31) | v106(constB31))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4946, 2384])).
% 14.29/9.45 tff(4948,plain,
% 14.29/9.45 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB31) <=> (~((~v107(constB31)) | (~v120(constB31)))))),
% 14.29/9.45 inference(quant_inst,[status(thm)],[])).
% 14.29/9.45 tff(4949,plain,
% 14.29/9.45 (v106(constB31) <=> (~((~v107(constB31)) | (~v120(constB31))))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4948, 2396])).
% 14.29/9.45 tff(4950,plain,
% 14.29/9.45 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB31) <=> (v108(constB31) | v119(constB31)))),
% 14.29/9.45 inference(quant_inst,[status(thm)],[])).
% 14.29/9.45 tff(4951,plain,
% 14.29/9.45 (v107(constB31) <=> (v108(constB31) | v119(constB31))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4950, 2405])).
% 14.29/9.45 tff(4952,plain,
% 14.29/9.45 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB31) <=> (v109(constB31) | v118(constB31)))),
% 14.29/9.45 inference(quant_inst,[status(thm)],[])).
% 14.29/9.45 tff(4953,plain,
% 14.29/9.45 (v108(constB31) <=> (v109(constB31) | v118(constB31))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4952, 2414])).
% 14.29/9.45 tff(4954,plain,
% 14.29/9.45 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB31) <=> (v110(constB31) | v117(constB31)))),
% 14.29/9.45 inference(quant_inst,[status(thm)],[])).
% 14.29/9.45 tff(4955,plain,
% 14.29/9.45 (v109(constB31) <=> (v110(constB31) | v117(constB31))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4954, 2423])).
% 14.29/9.45 tff(4956,plain,
% 14.29/9.45 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB31) <=> (v111(constB31) | v116(constB31)))),
% 14.29/9.45 inference(quant_inst,[status(thm)],[])).
% 14.29/9.45 tff(4957,plain,
% 14.29/9.45 (v110(constB31) <=> (v111(constB31) | v116(constB31))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4956, 2432])).
% 14.29/9.45 tff(4958,plain,
% 14.29/9.45 ((v111(constB31) | v116(constB31)) | (~v116(constB31))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4959,plain,
% 14.29/9.45 (v111(constB31) | v116(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4958, 4898])).
% 14.29/9.45 tff(4960,plain,
% 14.29/9.45 ((~(v110(constB31) <=> (v111(constB31) | v116(constB31)))) | v110(constB31) | (~(v111(constB31) | v116(constB31)))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4961,plain,
% 14.29/9.45 (v110(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4960, 4959, 4957])).
% 14.29/9.45 tff(4962,plain,
% 14.29/9.45 ((v110(constB31) | v117(constB31)) | (~v110(constB31))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4963,plain,
% 14.29/9.45 (v110(constB31) | v117(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4962, 4961])).
% 14.29/9.45 tff(4964,plain,
% 14.29/9.45 ((~(v109(constB31) <=> (v110(constB31) | v117(constB31)))) | v109(constB31) | (~(v110(constB31) | v117(constB31)))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4965,plain,
% 14.29/9.45 (v109(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4964, 4963, 4955])).
% 14.29/9.45 tff(4966,plain,
% 14.29/9.45 ((v109(constB31) | v118(constB31)) | (~v109(constB31))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4967,plain,
% 14.29/9.45 (v109(constB31) | v118(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4966, 4965])).
% 14.29/9.45 tff(4968,plain,
% 14.29/9.45 ((~(v108(constB31) <=> (v109(constB31) | v118(constB31)))) | v108(constB31) | (~(v109(constB31) | v118(constB31)))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4969,plain,
% 14.29/9.45 (v108(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4968, 4967, 4953])).
% 14.29/9.45 tff(4970,plain,
% 14.29/9.45 ((v108(constB31) | v119(constB31)) | (~v108(constB31))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4971,plain,
% 14.29/9.45 (v108(constB31) | v119(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4970, 4969])).
% 14.29/9.45 tff(4972,plain,
% 14.29/9.45 ((~(v107(constB31) <=> (v108(constB31) | v119(constB31)))) | v107(constB31) | (~(v108(constB31) | v119(constB31)))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4973,plain,
% 14.29/9.45 (v107(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4972, 4971, 4951])).
% 14.29/9.45 tff(4974,plain,
% 14.29/9.45 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB31)) <=> v105(constB31))),
% 14.29/9.45 inference(quant_inst,[status(thm)],[])).
% 14.29/9.45 tff(4975,plain,
% 14.29/9.45 ((~v120(constB31)) <=> v105(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4974, 2484])).
% 14.29/9.45 tff(4976,plain,
% 14.29/9.45 ((~((~v120(constB31)) <=> v105(constB31))) | v120(constB31) | v105(constB31)),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4977,plain,
% 14.29/9.45 ((~((~v120(constB31)) <=> v105(constB31))) | v120(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4976, 1258])).
% 14.29/9.45 tff(4978,plain,
% 14.29/9.45 (v120(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4977, 4975])).
% 14.29/9.45 tff(4979,plain,
% 14.29/9.45 ((~((~v107(constB31)) | (~v120(constB31)))) | (~v107(constB31)) | (~v120(constB31))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4980,plain,
% 14.29/9.45 ((~((~v107(constB31)) | (~v120(constB31)))) | (~v107(constB31))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4979, 4978])).
% 14.29/9.45 tff(4981,plain,
% 14.29/9.45 (~((~v107(constB31)) | (~v120(constB31)))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4980, 4973])).
% 14.29/9.45 tff(4982,plain,
% 14.29/9.45 ((~(v106(constB31) <=> (~((~v107(constB31)) | (~v120(constB31)))))) | v106(constB31) | ((~v107(constB31)) | (~v120(constB31)))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4983,plain,
% 14.29/9.45 (v106(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4982, 4981, 4949])).
% 14.29/9.45 tff(4984,plain,
% 14.29/9.45 ((v105(constB31) | v106(constB31)) | (~v106(constB31))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4985,plain,
% 14.29/9.45 (v105(constB31) | v106(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4984, 4983])).
% 14.29/9.45 tff(4986,plain,
% 14.29/9.45 ((~(v102(constB31) <=> (v105(constB31) | v106(constB31)))) | v102(constB31) | (~(v105(constB31) | v106(constB31)))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4987,plain,
% 14.29/9.45 (v102(constB31)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4986, 4985, 4947])).
% 14.29/9.45 tff(4988,plain,
% 14.29/9.45 ((~(v104(constB32) <=> v102(constB31))) | v104(constB32) | (~v102(constB31))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4989,plain,
% 14.29/9.45 (v104(constB32)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4988, 4987, 4945])).
% 14.29/9.45 tff(4990,plain,
% 14.29/9.45 ((~((~v95(constB32)) | (~v104(constB32)))) | (~v95(constB32)) | (~v104(constB32))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4991,plain,
% 14.29/9.45 (~((~v95(constB32)) | (~v104(constB32)))),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4990, 4989, 4941])).
% 14.29/9.45 tff(4992,plain,
% 14.29/9.45 ((~(v94(constB32) <=> (~((~v95(constB32)) | (~v104(constB32)))))) | v94(constB32) | ((~v95(constB32)) | (~v104(constB32)))),
% 14.29/9.45 inference(tautology,[status(thm)],[])).
% 14.29/9.45 tff(4993,plain,
% 14.29/9.45 (v94(constB32)),
% 14.29/9.45 inference(unit_resolution,[status(thm)],[4992, 4991, 4913])).
% 14.29/9.45 tff(4994,plain,
% 14.29/9.45 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB32)) | (~(((~v84(constB32, 2)) <=> v123(constB32, 2)) | ((~v84(constB32, 1)) <=> v123(constB32, 1)) | ((~v84(constB32, 0)) <=> v123(constB32, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB32)) | (~(((~v84(constB32, 2)) <=> v123(constB32, 2)) | ((~v84(constB32, 1)) <=> v123(constB32, 1)) | ((~v84(constB32, 0)) <=> v123(constB32, 0)))))),
% 14.29/9.46 inference(rewrite,[status(thm)],[])).
% 14.29/9.46 tff(4995,plain,
% 14.29/9.46 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB32)) | (~(((~v84(constB32, 2)) <=> v123(constB32, 2)) | ((~v84(constB32, 1)) <=> v123(constB32, 1)) | ((~v84(constB32, 0)) <=> v123(constB32, 0)))))),
% 14.29/9.46 inference(quant_inst,[status(thm)],[])).
% 14.29/9.46 tff(4996,plain,
% 14.29/9.46 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB32)) | (~(((~v84(constB32, 2)) <=> v123(constB32, 2)) | ((~v84(constB32, 1)) <=> v123(constB32, 1)) | ((~v84(constB32, 0)) <=> v123(constB32, 0))))),
% 14.29/9.46 inference(modus_ponens,[status(thm)],[4995, 4994])).
% 14.29/9.46 tff(4997,plain,
% 14.29/9.46 ((~v94(constB32)) | (~(((~v84(constB32, 2)) <=> v123(constB32, 2)) | ((~v84(constB32, 1)) <=> v123(constB32, 1)) | ((~v84(constB32, 0)) <=> v123(constB32, 0))))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[4996, 2517])).
% 14.29/9.46 tff(4998,plain,
% 14.29/9.46 (~(((~v84(constB32, 2)) <=> v123(constB32, 2)) | ((~v84(constB32, 1)) <=> v123(constB32, 1)) | ((~v84(constB32, 0)) <=> v123(constB32, 0)))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[4997, 4993])).
% 14.29/9.46 tff(4999,plain,
% 14.29/9.46 ((((~v84(constB32, 2)) <=> v123(constB32, 2)) | ((~v84(constB32, 1)) <=> v123(constB32, 1)) | ((~v84(constB32, 0)) <=> v123(constB32, 0))) | (~((~v84(constB32, 2)) <=> v123(constB32, 2)))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5000,plain,
% 14.29/9.46 (~((~v84(constB32, 2)) <=> v123(constB32, 2))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[4999, 4998])).
% 14.29/9.46 tff(5001,plain,
% 14.29/9.46 (((~v84(constB32, 2)) <=> v123(constB32, 2)) | v84(constB32, 2) | (~v123(constB32, 2))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5002,plain,
% 14.29/9.46 (v84(constB32, 2)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5001, 5000, 4909])).
% 14.29/9.46 tff(5003,plain,
% 14.29/9.46 (((~v84(constB33, 2)) <=> v84(constB32, 2)) | v84(constB33, 2) | (~v84(constB32, 2))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5004,plain,
% 14.29/9.46 (v84(constB33, 2)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5003, 5002, 1242])).
% 14.29/9.46 tff(5005,plain,
% 14.29/9.46 ((((~v84(constB33, 1)) <=> v84(constB32, 1)) | ((~v84(constB33, 2)) <=> v84(constB32, 2)) | ((~v84(constB33, 0)) <=> v84(constB32, 0))) | (~((~v84(constB33, 0)) <=> v84(constB32, 0)))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5006,plain,
% 14.29/9.46 (~((~v84(constB33, 0)) <=> v84(constB32, 0))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5005, 1240])).
% 14.29/9.46 tff(5007,plain,
% 14.29/9.46 ((((~v123(constB32, 2)) <=> v121(constB31, 2)) | ((~v123(constB32, 1)) <=> v121(constB31, 1)) | ((~v123(constB32, 0)) <=> v121(constB31, 0))) | (~((~v123(constB32, 0)) <=> v121(constB31, 0)))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5008,plain,
% 14.29/9.46 (~((~v123(constB32, 0)) <=> v121(constB31, 0))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5007, 1249])).
% 14.29/9.46 tff(5009,plain,
% 14.29/9.46 ((((~v121(constB31, 2)) <=> v124(constB31, 2)) | ((~v121(constB31, 0)) <=> v124(constB31, 0)) | ((~v121(constB31, 1)) <=> v124(constB31, 1))) | (~((~v121(constB31, 0)) <=> v124(constB31, 0)))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5010,plain,
% 14.29/9.46 (~((~v121(constB31, 0)) <=> v124(constB31, 0))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5009, 1263])).
% 14.29/9.46 tff(5011,plain,
% 14.29/9.46 ((v124(constB31, 0) | v124(constB31, 1) | (~v124(constB31, 2))) | (~v124(constB31, 0))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5012,plain,
% 14.29/9.46 (~v124(constB31, 0)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5011, 4903])).
% 14.29/9.46 tff(5013,plain,
% 14.29/9.46 (((~v121(constB31, 0)) <=> v124(constB31, 0)) | (~v121(constB31, 0)) | v124(constB31, 0)),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5014,plain,
% 14.29/9.46 (~v121(constB31, 0)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5013, 5012, 5010])).
% 14.29/9.46 tff(5015,plain,
% 14.29/9.46 (((~v123(constB32, 0)) <=> v121(constB31, 0)) | (~v123(constB32, 0)) | v121(constB31, 0)),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5016,plain,
% 14.29/9.46 (~v123(constB32, 0)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5015, 5014, 5008])).
% 14.29/9.46 tff(5017,plain,
% 14.29/9.46 ((((~v84(constB32, 2)) <=> v123(constB32, 2)) | ((~v84(constB32, 1)) <=> v123(constB32, 1)) | ((~v84(constB32, 0)) <=> v123(constB32, 0))) | (~((~v84(constB32, 0)) <=> v123(constB32, 0)))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5018,plain,
% 14.29/9.46 (~((~v84(constB32, 0)) <=> v123(constB32, 0))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5017, 4998])).
% 14.29/9.46 tff(5019,plain,
% 14.29/9.46 (((~v84(constB32, 0)) <=> v123(constB32, 0)) | (~v84(constB32, 0)) | v123(constB32, 0)),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5020,plain,
% 14.29/9.46 (~v84(constB32, 0)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5019, 5018, 5016])).
% 14.29/9.46 tff(5021,plain,
% 14.29/9.46 (((~v84(constB33, 0)) <=> v84(constB32, 0)) | (~v84(constB33, 0)) | v84(constB32, 0)),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5022,plain,
% 14.29/9.46 (~v84(constB33, 0)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5021, 5020, 5006])).
% 14.29/9.46 tff(5023,plain,
% 14.29/9.46 ((((~v84(constB33, 1)) <=> v84(constB32, 1)) | ((~v84(constB33, 2)) <=> v84(constB32, 2)) | ((~v84(constB33, 0)) <=> v84(constB32, 0))) | (~((~v84(constB33, 1)) <=> v84(constB32, 1)))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5024,plain,
% 14.29/9.46 (~((~v84(constB33, 1)) <=> v84(constB32, 1))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5023, 1240])).
% 14.29/9.46 tff(5025,plain,
% 14.29/9.46 ((((~v123(constB32, 2)) <=> v121(constB31, 2)) | ((~v123(constB32, 1)) <=> v121(constB31, 1)) | ((~v123(constB32, 0)) <=> v121(constB31, 0))) | (~((~v123(constB32, 1)) <=> v121(constB31, 1)))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5026,plain,
% 14.29/9.46 (~((~v123(constB32, 1)) <=> v121(constB31, 1))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5025, 1249])).
% 14.29/9.46 tff(5027,plain,
% 14.29/9.46 ((((~v121(constB31, 2)) <=> v124(constB31, 2)) | ((~v121(constB31, 0)) <=> v124(constB31, 0)) | ((~v121(constB31, 1)) <=> v124(constB31, 1))) | (~((~v121(constB31, 1)) <=> v124(constB31, 1)))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5028,plain,
% 14.29/9.46 (~((~v121(constB31, 1)) <=> v124(constB31, 1))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5027, 1263])).
% 14.29/9.46 tff(5029,plain,
% 14.29/9.46 ((v124(constB31, 0) | v124(constB31, 1) | (~v124(constB31, 2))) | (~v124(constB31, 1))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5030,plain,
% 14.29/9.46 (~v124(constB31, 1)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5029, 4903])).
% 14.29/9.46 tff(5031,plain,
% 14.29/9.46 (((~v121(constB31, 1)) <=> v124(constB31, 1)) | (~v121(constB31, 1)) | v124(constB31, 1)),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5032,plain,
% 14.29/9.46 (~v121(constB31, 1)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5031, 5030, 5028])).
% 14.29/9.46 tff(5033,plain,
% 14.29/9.46 (((~v123(constB32, 1)) <=> v121(constB31, 1)) | (~v123(constB32, 1)) | v121(constB31, 1)),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5034,plain,
% 14.29/9.46 (~v123(constB32, 1)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5033, 5032, 5026])).
% 14.29/9.46 tff(5035,plain,
% 14.29/9.46 ((((~v84(constB32, 2)) <=> v123(constB32, 2)) | ((~v84(constB32, 1)) <=> v123(constB32, 1)) | ((~v84(constB32, 0)) <=> v123(constB32, 0))) | (~((~v84(constB32, 1)) <=> v123(constB32, 1)))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5036,plain,
% 14.29/9.46 (~((~v84(constB32, 1)) <=> v123(constB32, 1))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5035, 4998])).
% 14.29/9.46 tff(5037,plain,
% 14.29/9.46 (((~v84(constB32, 1)) <=> v123(constB32, 1)) | (~v84(constB32, 1)) | v123(constB32, 1)),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5038,plain,
% 14.29/9.46 (~v84(constB32, 1)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5037, 5036, 5034])).
% 14.29/9.46 tff(5039,plain,
% 14.29/9.46 (((~v84(constB33, 1)) <=> v84(constB32, 1)) | (~v84(constB33, 1)) | v84(constB32, 1)),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5040,plain,
% 14.29/9.46 (~v84(constB33, 1)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5039, 5038, 5024])).
% 14.29/9.46 tff(5041,plain,
% 14.29/9.46 ((~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))) | v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5042,plain,
% 14.29/9.46 (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5041, 5040, 5022, 5004])).
% 14.29/9.46 tff(5043,plain,
% 14.29/9.46 ((~(v117(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))))) | v117(constB33) | (v84(constB33, 1) | v84(constB33, 0) | (~v84(constB33, 2)))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5044,plain,
% 14.29/9.46 (v117(constB33)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5043, 5042, 1206])).
% 14.29/9.46 tff(5045,plain,
% 14.29/9.46 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB33)) | (~(v124(constB33, 0) | (~v124(constB33, 2)) | (~v124(constB33, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB33)) | (~(v124(constB33, 0) | (~v124(constB33, 2)) | (~v124(constB33, 1)))))),
% 14.29/9.46 inference(rewrite,[status(thm)],[])).
% 14.29/9.46 tff(5046,plain,
% 14.29/9.46 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB33)) | (~(v124(constB33, 0) | (~v124(constB33, 2)) | (~v124(constB33, 1)))))),
% 14.29/9.46 inference(quant_inst,[status(thm)],[])).
% 14.29/9.46 tff(5047,plain,
% 14.29/9.46 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB33)) | (~(v124(constB33, 0) | (~v124(constB33, 2)) | (~v124(constB33, 1))))),
% 14.29/9.46 inference(modus_ponens,[status(thm)],[5046, 5045])).
% 14.29/9.46 tff(5048,plain,
% 14.29/9.46 ((~v117(constB33)) | (~(v124(constB33, 0) | (~v124(constB33, 2)) | (~v124(constB33, 1))))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5047, 2584])).
% 14.29/9.46 tff(5049,plain,
% 14.29/9.46 (~(v124(constB33, 0) | (~v124(constB33, 2)) | (~v124(constB33, 1)))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5048, 5044])).
% 14.29/9.46 tff(5050,plain,
% 14.29/9.46 ((v124(constB33, 0) | (~v124(constB33, 2)) | (~v124(constB33, 1))) | (~v124(constB33, 0))),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5051,plain,
% 14.29/9.46 (~v124(constB33, 0)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5050, 5049])).
% 14.29/9.46 tff(5052,plain,
% 14.29/9.46 (((~v121(constB33, 0)) <=> v124(constB33, 0)) | (~v121(constB33, 0)) | v124(constB33, 0)),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5053,plain,
% 14.29/9.46 (~v121(constB33, 0)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5052, 5051, 1186])).
% 14.29/9.46 tff(5054,plain,
% 14.29/9.46 (((~v123(constB34, 0)) <=> v121(constB33, 0)) | (~v123(constB34, 0)) | v121(constB33, 0)),
% 14.29/9.46 inference(tautology,[status(thm)],[])).
% 14.29/9.46 tff(5055,plain,
% 14.29/9.46 (~v123(constB34, 0)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5054, 5053, 1172])).
% 14.29/9.46 tff(5056,plain,
% 14.29/9.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB33, constB34)) | (v94(constB34) <=> (~((~v95(constB34)) | (~v104(constB34))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB33, constB34)) | (v94(constB34) <=> (~((~v95(constB34)) | (~v104(constB34))))))),
% 14.29/9.46 inference(rewrite,[status(thm)],[])).
% 14.29/9.46 tff(5057,plain,
% 14.29/9.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB33, constB34)) | (v94(constB34) <=> (~((~v95(constB34)) | (~v104(constB34))))))),
% 14.29/9.46 inference(quant_inst,[status(thm)],[])).
% 14.29/9.46 tff(5058,plain,
% 14.29/9.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB33, constB34)) | (v94(constB34) <=> (~((~v95(constB34)) | (~v104(constB34)))))),
% 14.29/9.46 inference(modus_ponens,[status(thm)],[5057, 5056])).
% 14.29/9.46 tff(5059,plain,
% 14.29/9.46 (v94(constB34) <=> (~((~v95(constB34)) | (~v104(constB34))))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5058, 1166, 770])).
% 14.29/9.46 tff(5060,plain,
% 14.29/9.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34))))))),
% 14.29/9.46 inference(rewrite,[status(thm)],[])).
% 14.29/9.46 tff(5061,plain,
% 14.29/9.46 (((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v96(constB34)) | (~v1(constB34)))))) <=> ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34))))))),
% 14.29/9.46 inference(rewrite,[status(thm)],[])).
% 14.29/9.46 tff(5062,plain,
% 14.29/9.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v96(constB34)) | (~v1(constB34))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34)))))))),
% 14.29/9.46 inference(monotonicity,[status(thm)],[5061])).
% 14.29/9.46 tff(5063,plain,
% 14.29/9.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v96(constB34)) | (~v1(constB34))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34))))))),
% 14.29/9.46 inference(transitivity,[status(thm)],[5062, 5060])).
% 14.29/9.46 tff(5064,plain,
% 14.29/9.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v96(constB34)) | (~v1(constB34))))))),
% 14.29/9.46 inference(quant_inst,[status(thm)],[])).
% 14.29/9.46 tff(5065,plain,
% 14.29/9.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34)))))),
% 14.29/9.46 inference(modus_ponens,[status(thm)],[5064, 5063])).
% 14.29/9.46 tff(5066,plain,
% 14.29/9.46 (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34))))),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5065, 1166, 790])).
% 14.29/9.46 tff(5067,plain,
% 14.29/9.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB33, constB34)) | ((~v96(constB34)) <=> v98(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB33, constB34)) | ((~v96(constB34)) <=> v98(constB34)))),
% 14.29/9.46 inference(rewrite,[status(thm)],[])).
% 14.29/9.46 tff(5068,plain,
% 14.29/9.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB33, constB34)) | ((~v96(constB34)) <=> v98(constB34)))),
% 14.29/9.46 inference(quant_inst,[status(thm)],[])).
% 14.29/9.46 tff(5069,plain,
% 14.29/9.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB33, constB34)) | ((~v96(constB34)) <=> v98(constB34))),
% 14.29/9.46 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 14.29/9.46 tff(5070,plain,
% 14.29/9.46 ((~v96(constB34)) <=> v98(constB34)),
% 14.29/9.46 inference(unit_resolution,[status(thm)],[5069, 1166, 2332])).
% 14.29/9.46 tff(5071,plain,
% 14.29/9.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v98(constB34) <=> v1(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v98(constB34) <=> v1(constB33)))),
% 14.29/9.47 inference(rewrite,[status(thm)],[])).
% 14.29/9.47 tff(5072,plain,
% 14.29/9.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v98(constB34) <=> v1(constB33)))),
% 14.29/9.47 inference(quant_inst,[status(thm)],[])).
% 14.29/9.47 tff(5073,plain,
% 14.29/9.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v98(constB34) <=> v1(constB33))),
% 14.29/9.47 inference(modus_ponens,[status(thm)],[5072, 5071])).
% 14.29/9.47 tff(5074,plain,
% 14.29/9.47 (v98(constB34) <=> v1(constB33)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5073, 1166, 2346])).
% 14.29/9.47 tff(5075,plain,
% 14.29/9.47 ((~(v98(constB34) <=> v1(constB33))) | (~v98(constB34)) | v1(constB33)),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5076,plain,
% 14.29/9.47 ((~(v98(constB34) <=> v1(constB33))) | (~v98(constB34))),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5075, 1223])).
% 14.29/9.47 tff(5077,plain,
% 14.29/9.47 (~v98(constB34)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5076, 5074])).
% 14.29/9.47 tff(5078,plain,
% 14.29/9.47 ((~((~v96(constB34)) <=> v98(constB34))) | v96(constB34) | v98(constB34)),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5079,plain,
% 14.29/9.47 (v96(constB34)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5078, 5077, 5070])).
% 14.29/9.47 tff(5080,plain,
% 14.29/9.47 (v1(constB34) <=> v1(constB34)),
% 14.29/9.47 inference(rewrite,[status(thm)],[])).
% 14.29/9.47 tff(5081,axiom,(v1(constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_34')).
% 14.29/9.47 tff(5082,plain,
% 14.29/9.47 (v1(constB34)),
% 14.29/9.47 inference(modus_ponens,[status(thm)],[5081, 5080])).
% 14.29/9.47 tff(5083,plain,
% 14.29/9.47 ((~((~v1(constB34)) | (~v96(constB34)))) | (~v1(constB34)) | (~v96(constB34))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5084,plain,
% 14.29/9.47 ((~((~v1(constB34)) | (~v96(constB34)))) | (~v96(constB34))),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5083, 5082])).
% 14.29/9.47 tff(5085,plain,
% 14.29/9.47 (~((~v1(constB34)) | (~v96(constB34)))),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5084, 5079])).
% 14.29/9.47 tff(5086,plain,
% 14.29/9.47 ((~(v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34)))))) | v95(constB34) | ((~v1(constB34)) | (~v96(constB34)))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5087,plain,
% 14.29/9.47 (v95(constB34)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5086, 5085, 5066])).
% 14.29/9.47 tff(5088,plain,
% 14.29/9.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v102(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v102(constB33)))),
% 14.29/9.47 inference(rewrite,[status(thm)],[])).
% 14.29/9.47 tff(5089,plain,
% 14.29/9.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v102(constB33)))),
% 14.29/9.47 inference(quant_inst,[status(thm)],[])).
% 14.29/9.47 tff(5090,plain,
% 14.29/9.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v102(constB33))),
% 14.29/9.47 inference(modus_ponens,[status(thm)],[5089, 5088])).
% 14.29/9.47 tff(5091,plain,
% 14.29/9.47 (v104(constB34) <=> v102(constB33)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5090, 1166, 2373])).
% 14.29/9.47 tff(5092,plain,
% 14.29/9.47 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB33) <=> (v105(constB33) | v106(constB33)))),
% 14.29/9.47 inference(quant_inst,[status(thm)],[])).
% 14.29/9.47 tff(5093,plain,
% 14.29/9.47 (v102(constB33) <=> (v105(constB33) | v106(constB33))),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5092, 2384])).
% 14.29/9.47 tff(5094,plain,
% 14.29/9.47 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB33) <=> (~((~v107(constB33)) | (~v120(constB33)))))),
% 14.29/9.47 inference(quant_inst,[status(thm)],[])).
% 14.29/9.47 tff(5095,plain,
% 14.29/9.47 (v106(constB33) <=> (~((~v107(constB33)) | (~v120(constB33))))),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5094, 2396])).
% 14.29/9.47 tff(5096,plain,
% 14.29/9.47 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB33) <=> (v108(constB33) | v119(constB33)))),
% 14.29/9.47 inference(quant_inst,[status(thm)],[])).
% 14.29/9.47 tff(5097,plain,
% 14.29/9.47 (v107(constB33) <=> (v108(constB33) | v119(constB33))),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5096, 2405])).
% 14.29/9.47 tff(5098,plain,
% 14.29/9.47 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB33) <=> (v109(constB33) | v118(constB33)))),
% 14.29/9.47 inference(quant_inst,[status(thm)],[])).
% 14.29/9.47 tff(5099,plain,
% 14.29/9.47 (v108(constB33) <=> (v109(constB33) | v118(constB33))),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5098, 2414])).
% 14.29/9.47 tff(5100,plain,
% 14.29/9.47 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB33) <=> (v110(constB33) | v117(constB33)))),
% 14.29/9.47 inference(quant_inst,[status(thm)],[])).
% 14.29/9.47 tff(5101,plain,
% 14.29/9.47 (v109(constB33) <=> (v110(constB33) | v117(constB33))),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5100, 2423])).
% 14.29/9.47 tff(5102,plain,
% 14.29/9.47 ((v110(constB33) | v117(constB33)) | (~v117(constB33))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5103,plain,
% 14.29/9.47 (v110(constB33) | v117(constB33)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5102, 5044])).
% 14.29/9.47 tff(5104,plain,
% 14.29/9.47 ((~(v109(constB33) <=> (v110(constB33) | v117(constB33)))) | v109(constB33) | (~(v110(constB33) | v117(constB33)))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5105,plain,
% 14.29/9.47 (v109(constB33)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5104, 5103, 5101])).
% 14.29/9.47 tff(5106,plain,
% 14.29/9.47 ((v109(constB33) | v118(constB33)) | (~v109(constB33))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5107,plain,
% 14.29/9.47 (v109(constB33) | v118(constB33)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5106, 5105])).
% 14.29/9.47 tff(5108,plain,
% 14.29/9.47 ((~(v108(constB33) <=> (v109(constB33) | v118(constB33)))) | v108(constB33) | (~(v109(constB33) | v118(constB33)))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5109,plain,
% 14.29/9.47 (v108(constB33)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5108, 5107, 5099])).
% 14.29/9.47 tff(5110,plain,
% 14.29/9.47 ((v108(constB33) | v119(constB33)) | (~v108(constB33))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5111,plain,
% 14.29/9.47 (v108(constB33) | v119(constB33)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5110, 5109])).
% 14.29/9.47 tff(5112,plain,
% 14.29/9.47 ((~(v107(constB33) <=> (v108(constB33) | v119(constB33)))) | v107(constB33) | (~(v108(constB33) | v119(constB33)))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5113,plain,
% 14.29/9.47 (v107(constB33)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5112, 5111, 5097])).
% 14.29/9.47 tff(5114,plain,
% 14.29/9.47 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB33)) <=> v105(constB33))),
% 14.29/9.47 inference(quant_inst,[status(thm)],[])).
% 14.29/9.47 tff(5115,plain,
% 14.29/9.47 ((~v120(constB33)) <=> v105(constB33)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5114, 2484])).
% 14.29/9.47 tff(5116,plain,
% 14.29/9.47 ((~((~v120(constB33)) <=> v105(constB33))) | v120(constB33) | v105(constB33)),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5117,plain,
% 14.29/9.47 ((~((~v120(constB33)) <=> v105(constB33))) | v120(constB33)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5116, 1179])).
% 14.29/9.47 tff(5118,plain,
% 14.29/9.47 (v120(constB33)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5117, 5115])).
% 14.29/9.47 tff(5119,plain,
% 14.29/9.47 ((~((~v107(constB33)) | (~v120(constB33)))) | (~v107(constB33)) | (~v120(constB33))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5120,plain,
% 14.29/9.47 ((~((~v107(constB33)) | (~v120(constB33)))) | (~v107(constB33))),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5119, 5118])).
% 14.29/9.47 tff(5121,plain,
% 14.29/9.47 (~((~v107(constB33)) | (~v120(constB33)))),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5120, 5113])).
% 14.29/9.47 tff(5122,plain,
% 14.29/9.47 ((~(v106(constB33) <=> (~((~v107(constB33)) | (~v120(constB33)))))) | v106(constB33) | ((~v107(constB33)) | (~v120(constB33)))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5123,plain,
% 14.29/9.47 (v106(constB33)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5122, 5121, 5095])).
% 14.29/9.47 tff(5124,plain,
% 14.29/9.47 ((v105(constB33) | v106(constB33)) | (~v106(constB33))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5125,plain,
% 14.29/9.47 (v105(constB33) | v106(constB33)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5124, 5123])).
% 14.29/9.47 tff(5126,plain,
% 14.29/9.47 ((~(v102(constB33) <=> (v105(constB33) | v106(constB33)))) | v102(constB33) | (~(v105(constB33) | v106(constB33)))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5127,plain,
% 14.29/9.47 (v102(constB33)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5126, 5125, 5093])).
% 14.29/9.47 tff(5128,plain,
% 14.29/9.47 ((~(v104(constB34) <=> v102(constB33))) | v104(constB34) | (~v102(constB33))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5129,plain,
% 14.29/9.47 (v104(constB34)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5128, 5127, 5091])).
% 14.29/9.47 tff(5130,plain,
% 14.29/9.47 ((~((~v95(constB34)) | (~v104(constB34)))) | (~v95(constB34)) | (~v104(constB34))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5131,plain,
% 14.29/9.47 (~((~v95(constB34)) | (~v104(constB34)))),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5130, 5129, 5087])).
% 14.29/9.47 tff(5132,plain,
% 14.29/9.47 ((~(v94(constB34) <=> (~((~v95(constB34)) | (~v104(constB34)))))) | v94(constB34) | ((~v95(constB34)) | (~v104(constB34)))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5133,plain,
% 14.29/9.47 (v94(constB34)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5132, 5131, 5059])).
% 14.29/9.47 tff(5134,plain,
% 14.29/9.47 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB34)) | (~(((~v84(constB34, 0)) <=> v123(constB34, 0)) | ((~v84(constB34, 2)) <=> v123(constB34, 2)) | ((~v84(constB34, 1)) <=> v123(constB34, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB34)) | (~(((~v84(constB34, 0)) <=> v123(constB34, 0)) | ((~v84(constB34, 2)) <=> v123(constB34, 2)) | ((~v84(constB34, 1)) <=> v123(constB34, 1)))))),
% 14.29/9.47 inference(rewrite,[status(thm)],[])).
% 14.29/9.47 tff(5135,plain,
% 14.29/9.47 (((~v94(constB34)) | (~(((~v84(constB34, 2)) <=> v123(constB34, 2)) | ((~v84(constB34, 1)) <=> v123(constB34, 1)) | ((~v84(constB34, 0)) <=> v123(constB34, 0))))) <=> ((~v94(constB34)) | (~(((~v84(constB34, 0)) <=> v123(constB34, 0)) | ((~v84(constB34, 2)) <=> v123(constB34, 2)) | ((~v84(constB34, 1)) <=> v123(constB34, 1)))))),
% 14.29/9.47 inference(rewrite,[status(thm)],[])).
% 14.29/9.47 tff(5136,plain,
% 14.29/9.47 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB34)) | (~(((~v84(constB34, 2)) <=> v123(constB34, 2)) | ((~v84(constB34, 1)) <=> v123(constB34, 1)) | ((~v84(constB34, 0)) <=> v123(constB34, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB34)) | (~(((~v84(constB34, 0)) <=> v123(constB34, 0)) | ((~v84(constB34, 2)) <=> v123(constB34, 2)) | ((~v84(constB34, 1)) <=> v123(constB34, 1))))))),
% 14.29/9.47 inference(monotonicity,[status(thm)],[5135])).
% 14.29/9.47 tff(5137,plain,
% 14.29/9.47 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB34)) | (~(((~v84(constB34, 2)) <=> v123(constB34, 2)) | ((~v84(constB34, 1)) <=> v123(constB34, 1)) | ((~v84(constB34, 0)) <=> v123(constB34, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB34)) | (~(((~v84(constB34, 0)) <=> v123(constB34, 0)) | ((~v84(constB34, 2)) <=> v123(constB34, 2)) | ((~v84(constB34, 1)) <=> v123(constB34, 1)))))),
% 14.29/9.47 inference(transitivity,[status(thm)],[5136, 5134])).
% 14.29/9.47 tff(5138,plain,
% 14.29/9.47 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB34)) | (~(((~v84(constB34, 2)) <=> v123(constB34, 2)) | ((~v84(constB34, 1)) <=> v123(constB34, 1)) | ((~v84(constB34, 0)) <=> v123(constB34, 0)))))),
% 14.29/9.47 inference(quant_inst,[status(thm)],[])).
% 14.29/9.47 tff(5139,plain,
% 14.29/9.47 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB34)) | (~(((~v84(constB34, 0)) <=> v123(constB34, 0)) | ((~v84(constB34, 2)) <=> v123(constB34, 2)) | ((~v84(constB34, 1)) <=> v123(constB34, 1))))),
% 14.29/9.47 inference(modus_ponens,[status(thm)],[5138, 5137])).
% 14.29/9.47 tff(5140,plain,
% 14.29/9.47 ((~v94(constB34)) | (~(((~v84(constB34, 0)) <=> v123(constB34, 0)) | ((~v84(constB34, 2)) <=> v123(constB34, 2)) | ((~v84(constB34, 1)) <=> v123(constB34, 1))))),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5139, 2517])).
% 14.29/9.47 tff(5141,plain,
% 14.29/9.47 (~(((~v84(constB34, 0)) <=> v123(constB34, 0)) | ((~v84(constB34, 2)) <=> v123(constB34, 2)) | ((~v84(constB34, 1)) <=> v123(constB34, 1)))),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5140, 5133])).
% 14.29/9.47 tff(5142,plain,
% 14.29/9.47 ((((~v84(constB34, 0)) <=> v123(constB34, 0)) | ((~v84(constB34, 2)) <=> v123(constB34, 2)) | ((~v84(constB34, 1)) <=> v123(constB34, 1))) | (~((~v84(constB34, 0)) <=> v123(constB34, 0)))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5143,plain,
% 14.29/9.47 (~((~v84(constB34, 0)) <=> v123(constB34, 0))),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5142, 5141])).
% 14.29/9.47 tff(5144,plain,
% 14.29/9.47 (((~v84(constB34, 0)) <=> v123(constB34, 0)) | (~v84(constB34, 0)) | v123(constB34, 0)),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5145,plain,
% 14.29/9.47 (~v84(constB34, 0)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5144, 5143, 5055])).
% 14.29/9.47 tff(5146,plain,
% 14.29/9.47 (((~v84(constB35, 0)) <=> v84(constB34, 0)) | (~v84(constB35, 0)) | v84(constB34, 0)),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5147,plain,
% 14.29/9.47 (~v84(constB35, 0)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5146, 5145, 1163])).
% 14.29/9.47 tff(5148,plain,
% 14.29/9.47 ((v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))) | v84(constB35, 0)),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5149,plain,
% 14.29/9.47 (v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5148, 5147])).
% 14.29/9.47 tff(5150,plain,
% 14.29/9.47 ((~(v114(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0)))))) | (~v114(constB35)) | (~(v84(constB35, 1) | v84(constB35, 2) | (~v84(constB35, 0))))),
% 14.29/9.47 inference(tautology,[status(thm)],[])).
% 14.29/9.47 tff(5151,plain,
% 14.29/9.47 (~v114(constB35)),
% 14.29/9.47 inference(unit_resolution,[status(thm)],[5150, 5149, 1127])).
% 14.29/9.47 tff(5152,plain,
% 14.29/9.47 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 2)) | (~v84(constB35, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 2)) | (~v84(constB35, 0))))))),
% 14.29/9.47 inference(rewrite,[status(thm)],[])).
% 14.29/9.47 tff(5153,plain,
% 14.29/9.47 ((v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2))))) <=> (v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 2)) | (~v84(constB35, 0)))))),
% 14.29/9.47 inference(rewrite,[status(thm)],[])).
% 14.29/9.47 tff(5154,plain,
% 14.29/9.47 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 2)) | (~v84(constB35, 0))))))),
% 14.29/9.47 inference(monotonicity,[status(thm)],[5153])).
% 14.29/9.47 tff(5155,plain,
% 14.29/9.47 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 2)) | (~v84(constB35, 0))))))),
% 14.29/9.48 inference(transitivity,[status(thm)],[5154, 5152])).
% 14.29/9.48 tff(5156,plain,
% 14.29/9.48 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 0)) | (~v84(constB35, 2)))))),
% 14.29/9.48 inference(quant_inst,[status(thm)],[])).
% 14.29/9.48 tff(5157,plain,
% 14.29/9.48 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 2)) | (~v84(constB35, 0)))))),
% 14.29/9.48 inference(modus_ponens,[status(thm)],[5156, 5155])).
% 14.29/9.48 tff(5158,plain,
% 14.29/9.48 (v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 2)) | (~v84(constB35, 0))))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5157, 2701])).
% 14.29/9.48 tff(5159,plain,
% 14.29/9.48 ((v84(constB35, 1) | (~v84(constB35, 2)) | (~v84(constB35, 0))) | v84(constB35, 0)),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5160,plain,
% 14.29/9.48 (v84(constB35, 1) | (~v84(constB35, 2)) | (~v84(constB35, 0))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5159, 5147])).
% 14.29/9.48 tff(5161,plain,
% 14.29/9.48 ((~(v118(constB35) <=> (~(v84(constB35, 1) | (~v84(constB35, 2)) | (~v84(constB35, 0)))))) | (~v118(constB35)) | (~(v84(constB35, 1) | (~v84(constB35, 2)) | (~v84(constB35, 0))))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5162,plain,
% 14.29/9.48 (~v118(constB35)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5161, 5160, 5158])).
% 14.29/9.48 tff(5163,plain,
% 14.29/9.48 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))))))),
% 14.29/9.48 inference(rewrite,[status(thm)],[])).
% 14.29/9.48 tff(5164,plain,
% 14.29/9.48 ((v117(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | (~v84(constB35, 2))))) <=> (v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))))),
% 14.29/9.48 inference(rewrite,[status(thm)],[])).
% 14.29/9.48 tff(5165,plain,
% 14.29/9.48 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | (~v84(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))))))),
% 14.29/9.48 inference(monotonicity,[status(thm)],[5164])).
% 14.29/9.48 tff(5166,plain,
% 14.29/9.48 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | (~v84(constB35, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))))))),
% 14.29/9.48 inference(transitivity,[status(thm)],[5165, 5163])).
% 14.29/9.48 tff(5167,plain,
% 14.29/9.48 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | (~v84(constB35, 2)))))),
% 14.29/9.48 inference(quant_inst,[status(thm)],[])).
% 14.29/9.48 tff(5168,plain,
% 14.29/9.48 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))))),
% 14.29/9.48 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 14.29/9.48 tff(5169,plain,
% 14.29/9.48 (v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5168, 1199])).
% 14.29/9.48 tff(5170,plain,
% 14.29/9.48 ((((~v84(constB35, 1)) <=> v84(constB34, 1)) | ((~v84(constB35, 2)) <=> v84(constB34, 2)) | ((~v84(constB35, 0)) <=> v84(constB34, 0))) | (~((~v84(constB35, 1)) <=> v84(constB34, 1)))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5171,plain,
% 14.29/9.48 (~((~v84(constB35, 1)) <=> v84(constB34, 1))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5170, 1161])).
% 14.29/9.48 tff(5172,plain,
% 14.29/9.48 ((((~v123(constB34, 2)) <=> v121(constB33, 2)) | ((~v123(constB34, 1)) <=> v121(constB33, 1)) | ((~v123(constB34, 0)) <=> v121(constB33, 0))) | (~((~v123(constB34, 1)) <=> v121(constB33, 1)))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5173,plain,
% 14.29/9.48 (~((~v123(constB34, 1)) <=> v121(constB33, 1))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5172, 1170])).
% 14.29/9.48 tff(5174,plain,
% 14.29/9.48 ((((~v121(constB33, 2)) <=> v124(constB33, 2)) | ((~v121(constB33, 0)) <=> v124(constB33, 0)) | ((~v121(constB33, 1)) <=> v124(constB33, 1))) | (~((~v121(constB33, 1)) <=> v124(constB33, 1)))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5175,plain,
% 14.29/9.48 (~((~v121(constB33, 1)) <=> v124(constB33, 1))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5174, 1184])).
% 14.29/9.48 tff(5176,plain,
% 14.29/9.48 ((v124(constB33, 0) | (~v124(constB33, 2)) | (~v124(constB33, 1))) | v124(constB33, 1)),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5177,plain,
% 14.29/9.48 (v124(constB33, 1)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5176, 5049])).
% 14.29/9.48 tff(5178,plain,
% 14.29/9.48 (((~v121(constB33, 1)) <=> v124(constB33, 1)) | v121(constB33, 1) | (~v124(constB33, 1))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5179,plain,
% 14.29/9.48 (v121(constB33, 1)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5178, 5177, 5175])).
% 14.29/9.48 tff(5180,plain,
% 14.29/9.48 (((~v123(constB34, 1)) <=> v121(constB33, 1)) | v123(constB34, 1) | (~v121(constB33, 1))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5181,plain,
% 14.29/9.48 (v123(constB34, 1)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5180, 5179, 5173])).
% 14.29/9.48 tff(5182,plain,
% 14.29/9.48 ((((~v84(constB34, 0)) <=> v123(constB34, 0)) | ((~v84(constB34, 2)) <=> v123(constB34, 2)) | ((~v84(constB34, 1)) <=> v123(constB34, 1))) | (~((~v84(constB34, 1)) <=> v123(constB34, 1)))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5183,plain,
% 14.29/9.48 (~((~v84(constB34, 1)) <=> v123(constB34, 1))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5182, 5141])).
% 14.29/9.48 tff(5184,plain,
% 14.29/9.48 (((~v84(constB34, 1)) <=> v123(constB34, 1)) | v84(constB34, 1) | (~v123(constB34, 1))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5185,plain,
% 14.29/9.48 (v84(constB34, 1)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5184, 5183, 5181])).
% 14.29/9.48 tff(5186,plain,
% 14.29/9.48 (((~v84(constB35, 1)) <=> v84(constB34, 1)) | v84(constB35, 1) | (~v84(constB34, 1))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5187,plain,
% 14.29/9.48 (v84(constB35, 1)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5186, 5185, 5171])).
% 14.29/9.48 tff(5188,plain,
% 14.29/9.48 ((v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))) | (~v84(constB35, 1))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5189,plain,
% 14.29/9.48 (v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5188, 5187])).
% 14.29/9.48 tff(5190,plain,
% 14.29/9.48 ((~(v117(constB35) <=> (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2)))))) | (~v117(constB35)) | (~(v84(constB35, 1) | v84(constB35, 0) | (~v84(constB35, 2))))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5191,plain,
% 14.29/9.48 (~v117(constB35)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5190, 5189, 5169])).
% 14.29/9.48 tff(5192,plain,
% 14.29/9.48 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 1)) | (~v84(constB35, 0)))))),
% 14.29/9.48 inference(quant_inst,[status(thm)],[])).
% 14.29/9.48 tff(5193,plain,
% 14.29/9.48 (v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 1)) | (~v84(constB35, 0))))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5192, 911])).
% 14.29/9.48 tff(5194,plain,
% 14.29/9.48 ((v84(constB35, 2) | (~v84(constB35, 1)) | (~v84(constB35, 0))) | v84(constB35, 0)),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5195,plain,
% 14.29/9.48 (v84(constB35, 2) | (~v84(constB35, 1)) | (~v84(constB35, 0))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5194, 5147])).
% 14.29/9.48 tff(5196,plain,
% 14.29/9.48 ((~(v116(constB35) <=> (~(v84(constB35, 2) | (~v84(constB35, 1)) | (~v84(constB35, 0)))))) | (~v116(constB35)) | (~(v84(constB35, 2) | (~v84(constB35, 1)) | (~v84(constB35, 0))))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5197,plain,
% 14.29/9.48 (~v116(constB35)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5196, 5195, 5193])).
% 14.29/9.48 tff(5198,plain,
% 14.29/9.48 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))))))),
% 14.29/9.48 inference(rewrite,[status(thm)],[])).
% 14.29/9.48 tff(5199,plain,
% 14.29/9.48 ((v115(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 2) | (~v84(constB35, 1))))) <=> (v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))))),
% 14.29/9.48 inference(rewrite,[status(thm)],[])).
% 14.29/9.48 tff(5200,plain,
% 14.29/9.48 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 2) | (~v84(constB35, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))))))),
% 14.29/9.48 inference(monotonicity,[status(thm)],[5199])).
% 14.29/9.48 tff(5201,plain,
% 14.29/9.48 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 2) | (~v84(constB35, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))))))),
% 14.29/9.48 inference(transitivity,[status(thm)],[5200, 5198])).
% 14.29/9.48 tff(5202,plain,
% 14.29/9.48 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 2) | (~v84(constB35, 1)))))),
% 14.29/9.48 inference(quant_inst,[status(thm)],[])).
% 14.29/9.48 tff(5203,plain,
% 14.29/9.48 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))))),
% 14.29/9.48 inference(modus_ponens,[status(thm)],[5202, 5201])).
% 14.29/9.48 tff(5204,plain,
% 14.29/9.48 (v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5203, 985])).
% 14.29/9.48 tff(5205,plain,
% 14.29/9.48 ((((~v84(constB35, 1)) <=> v84(constB34, 1)) | ((~v84(constB35, 2)) <=> v84(constB34, 2)) | ((~v84(constB35, 0)) <=> v84(constB34, 0))) | (~((~v84(constB35, 2)) <=> v84(constB34, 2)))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5206,plain,
% 14.29/9.48 (~((~v84(constB35, 2)) <=> v84(constB34, 2))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5205, 1161])).
% 14.29/9.48 tff(5207,plain,
% 14.29/9.48 ((((~v123(constB34, 2)) <=> v121(constB33, 2)) | ((~v123(constB34, 1)) <=> v121(constB33, 1)) | ((~v123(constB34, 0)) <=> v121(constB33, 0))) | (~((~v123(constB34, 2)) <=> v121(constB33, 2)))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5208,plain,
% 14.29/9.48 (~((~v123(constB34, 2)) <=> v121(constB33, 2))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5207, 1170])).
% 14.29/9.48 tff(5209,plain,
% 14.29/9.48 ((((~v121(constB33, 2)) <=> v124(constB33, 2)) | ((~v121(constB33, 0)) <=> v124(constB33, 0)) | ((~v121(constB33, 1)) <=> v124(constB33, 1))) | (~((~v121(constB33, 2)) <=> v124(constB33, 2)))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5210,plain,
% 14.29/9.48 (~((~v121(constB33, 2)) <=> v124(constB33, 2))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5209, 1184])).
% 14.29/9.48 tff(5211,plain,
% 14.29/9.48 ((v124(constB33, 0) | (~v124(constB33, 2)) | (~v124(constB33, 1))) | v124(constB33, 2)),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5212,plain,
% 14.29/9.48 (v124(constB33, 2)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5211, 5049])).
% 14.29/9.48 tff(5213,plain,
% 14.29/9.48 (((~v121(constB33, 2)) <=> v124(constB33, 2)) | v121(constB33, 2) | (~v124(constB33, 2))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5214,plain,
% 14.29/9.48 (v121(constB33, 2)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5213, 5212, 5210])).
% 14.29/9.48 tff(5215,plain,
% 14.29/9.48 (((~v123(constB34, 2)) <=> v121(constB33, 2)) | v123(constB34, 2) | (~v121(constB33, 2))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5216,plain,
% 14.29/9.48 (v123(constB34, 2)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5215, 5214, 5208])).
% 14.29/9.48 tff(5217,plain,
% 14.29/9.48 ((((~v84(constB34, 0)) <=> v123(constB34, 0)) | ((~v84(constB34, 2)) <=> v123(constB34, 2)) | ((~v84(constB34, 1)) <=> v123(constB34, 1))) | (~((~v84(constB34, 2)) <=> v123(constB34, 2)))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5218,plain,
% 14.29/9.48 (~((~v84(constB34, 2)) <=> v123(constB34, 2))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5217, 5141])).
% 14.29/9.48 tff(5219,plain,
% 14.29/9.48 (((~v84(constB34, 2)) <=> v123(constB34, 2)) | v84(constB34, 2) | (~v123(constB34, 2))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5220,plain,
% 14.29/9.48 (v84(constB34, 2)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5219, 5218, 5216])).
% 14.29/9.48 tff(5221,plain,
% 14.29/9.48 (((~v84(constB35, 2)) <=> v84(constB34, 2)) | v84(constB35, 2) | (~v84(constB34, 2))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5222,plain,
% 14.29/9.48 (v84(constB35, 2)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5221, 5220, 5206])).
% 14.29/9.48 tff(5223,plain,
% 14.29/9.48 ((v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))) | (~v84(constB35, 2))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5224,plain,
% 14.29/9.48 (v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5223, 5222])).
% 14.29/9.48 tff(5225,plain,
% 14.29/9.48 ((~(v115(constB35) <=> (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1)))))) | (~v115(constB35)) | (~(v84(constB35, 2) | v84(constB35, 0) | (~v84(constB35, 1))))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5226,plain,
% 14.29/9.48 (~v115(constB35)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5225, 5224, 5204])).
% 14.29/9.48 tff(5227,plain,
% 14.29/9.48 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2))))),
% 14.29/9.48 inference(quant_inst,[status(thm)],[])).
% 14.29/9.48 tff(5228,plain,
% 14.29/9.48 (v113(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)))),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5227, 1466])).
% 14.29/9.48 tff(5229,plain,
% 14.29/9.48 ((v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)) | (~v84(constB35, 2))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5230,plain,
% 14.29/9.48 (v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5229, 5222])).
% 14.29/9.48 tff(5231,plain,
% 14.29/9.48 ((~(v113(constB35) <=> (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2))))) | (~v113(constB35)) | (~(v84(constB35, 0) | v84(constB35, 1) | v84(constB35, 2)))),
% 14.29/9.48 inference(tautology,[status(thm)],[])).
% 14.29/9.48 tff(5232,plain,
% 14.29/9.48 (~v113(constB35)),
% 14.29/9.48 inference(unit_resolution,[status(thm)],[5231, 5230, 5228])).
% 14.29/9.48 tff(5233,plain,
% 14.29/9.48 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB35) | v114(constB35) | v115(constB35) | v116(constB35) | v117(constB35) | v118(constB35) | (~(v124(constB35, 2) | v124(constB35, 1) | (~v124(constB35, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB35) | v114(constB35) | v115(constB35) | v116(constB35) | v117(constB35) | v118(constB35) | (~(v124(constB35, 2) | v124(constB35, 1) | (~v124(constB35, 0)))))),
% 14.29/9.48 inference(rewrite,[status(thm)],[])).
% 14.29/9.48 tff(5234,plain,
% 14.29/9.48 ((v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | (~(v124(constB35, 2) | v124(constB35, 1) | (~v124(constB35, 0))))) <=> (v113(constB35) | v114(constB35) | v115(constB35) | v116(constB35) | v117(constB35) | v118(constB35) | (~(v124(constB35, 2) | v124(constB35, 1) | (~v124(constB35, 0)))))),
% 14.29/9.49 inference(rewrite,[status(thm)],[])).
% 14.29/9.49 tff(5235,plain,
% 14.29/9.49 ((~(v124(constB35, 1) | v124(constB35, 2) | (~v124(constB35, 0)))) <=> (~(v124(constB35, 2) | v124(constB35, 1) | (~v124(constB35, 0))))),
% 14.29/9.49 inference(rewrite,[status(thm)],[])).
% 14.29/9.49 tff(5236,plain,
% 14.29/9.49 ((v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | (~(v124(constB35, 1) | v124(constB35, 2) | (~v124(constB35, 0))))) <=> (v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | (~(v124(constB35, 2) | v124(constB35, 1) | (~v124(constB35, 0)))))),
% 14.29/9.49 inference(monotonicity,[status(thm)],[5235])).
% 14.29/9.49 tff(5237,plain,
% 14.29/9.49 ((v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | (~(v124(constB35, 1) | v124(constB35, 2) | (~v124(constB35, 0))))) <=> (v113(constB35) | v114(constB35) | v115(constB35) | v116(constB35) | v117(constB35) | v118(constB35) | (~(v124(constB35, 2) | v124(constB35, 1) | (~v124(constB35, 0)))))),
% 14.29/9.49 inference(transitivity,[status(thm)],[5236, 5234])).
% 14.29/9.49 tff(5238,plain,
% 14.29/9.49 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | (~(v124(constB35, 1) | v124(constB35, 2) | (~v124(constB35, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB35) | v114(constB35) | v115(constB35) | v116(constB35) | v117(constB35) | v118(constB35) | (~(v124(constB35, 2) | v124(constB35, 1) | (~v124(constB35, 0))))))),
% 14.29/9.49 inference(monotonicity,[status(thm)],[5237])).
% 14.29/9.49 tff(5239,plain,
% 14.29/9.49 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | (~(v124(constB35, 1) | v124(constB35, 2) | (~v124(constB35, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB35) | v114(constB35) | v115(constB35) | v116(constB35) | v117(constB35) | v118(constB35) | (~(v124(constB35, 2) | v124(constB35, 1) | (~v124(constB35, 0)))))),
% 14.29/9.49 inference(transitivity,[status(thm)],[5238, 5233])).
% 14.29/9.49 tff(5240,plain,
% 14.29/9.49 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB35) | v117(constB35) | v116(constB35) | v115(constB35) | v114(constB35) | v113(constB35) | (~(v124(constB35, 1) | v124(constB35, 2) | (~v124(constB35, 0)))))),
% 14.29/9.49 inference(quant_inst,[status(thm)],[])).
% 14.29/9.49 tff(5241,plain,
% 14.29/9.49 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB35) | v114(constB35) | v115(constB35) | v116(constB35) | v117(constB35) | v118(constB35) | (~(v124(constB35, 2) | v124(constB35, 1) | (~v124(constB35, 0))))),
% 14.29/9.49 inference(modus_ponens,[status(thm)],[5240, 5239])).
% 14.29/9.49 tff(5242,plain,
% 14.29/9.49 (v113(constB35) | v114(constB35) | v115(constB35) | v116(constB35) | v117(constB35) | v118(constB35) | (~(v124(constB35, 2) | v124(constB35, 1) | (~v124(constB35, 0))))),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5241, 2777])).
% 14.29/9.49 tff(5243,plain,
% 14.29/9.49 (~(v124(constB35, 2) | v124(constB35, 1) | (~v124(constB35, 0)))),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5242, 5232, 5226, 5197, 5191, 5162, 5151])).
% 14.29/9.49 tff(5244,plain,
% 14.29/9.49 ((v124(constB35, 2) | v124(constB35, 1) | (~v124(constB35, 0))) | (~v124(constB35, 2))),
% 14.29/9.49 inference(tautology,[status(thm)],[])).
% 14.29/9.49 tff(5245,plain,
% 14.29/9.49 (~v124(constB35, 2)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5244, 5243])).
% 14.29/9.49 tff(5246,plain,
% 14.29/9.49 (((~v121(constB35, 2)) <=> v124(constB35, 2)) | (~v121(constB35, 2)) | v124(constB35, 2)),
% 14.29/9.49 inference(tautology,[status(thm)],[])).
% 14.29/9.49 tff(5247,plain,
% 14.29/9.49 (~v121(constB35, 2)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5246, 5245, 1125])).
% 14.29/9.49 tff(5248,plain,
% 14.29/9.49 (((~v123(constB36, 2)) <=> v121(constB35, 2)) | (~v123(constB36, 2)) | v121(constB35, 2)),
% 14.29/9.49 inference(tautology,[status(thm)],[])).
% 14.29/9.49 tff(5249,plain,
% 14.29/9.49 (~v123(constB36, 2)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5248, 5247, 1111])).
% 14.29/9.49 tff(5250,plain,
% 14.29/9.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB35, constB36)) | (v94(constB36) <=> (~((~v95(constB36)) | (~v104(constB36))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB35, constB36)) | (v94(constB36) <=> (~((~v95(constB36)) | (~v104(constB36))))))),
% 14.29/9.49 inference(rewrite,[status(thm)],[])).
% 14.29/9.49 tff(5251,plain,
% 14.29/9.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB35, constB36)) | (v94(constB36) <=> (~((~v95(constB36)) | (~v104(constB36))))))),
% 14.29/9.49 inference(quant_inst,[status(thm)],[])).
% 14.29/9.49 tff(5252,plain,
% 14.29/9.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB35, constB36)) | (v94(constB36) <=> (~((~v95(constB36)) | (~v104(constB36)))))),
% 14.29/9.49 inference(modus_ponens,[status(thm)],[5251, 5250])).
% 14.29/9.49 tff(5253,plain,
% 14.29/9.49 (v94(constB36) <=> (~((~v95(constB36)) | (~v104(constB36))))),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5252, 1105, 770])).
% 14.29/9.49 tff(5254,plain,
% 14.29/9.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36))))))),
% 14.29/9.49 inference(rewrite,[status(thm)],[])).
% 14.29/9.49 tff(5255,plain,
% 14.29/9.49 (((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v96(constB36)) | (~v1(constB36)))))) <=> ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36))))))),
% 14.29/9.49 inference(rewrite,[status(thm)],[])).
% 14.29/9.49 tff(5256,plain,
% 14.29/9.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v96(constB36)) | (~v1(constB36))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36)))))))),
% 14.29/9.49 inference(monotonicity,[status(thm)],[5255])).
% 14.29/9.49 tff(5257,plain,
% 14.29/9.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v96(constB36)) | (~v1(constB36))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36))))))),
% 14.29/9.49 inference(transitivity,[status(thm)],[5256, 5254])).
% 14.29/9.49 tff(5258,plain,
% 14.29/9.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v96(constB36)) | (~v1(constB36))))))),
% 14.29/9.49 inference(quant_inst,[status(thm)],[])).
% 14.29/9.49 tff(5259,plain,
% 14.29/9.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36)))))),
% 14.29/9.49 inference(modus_ponens,[status(thm)],[5258, 5257])).
% 14.29/9.49 tff(5260,plain,
% 14.29/9.49 (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36))))),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5259, 1105, 790])).
% 14.29/9.49 tff(5261,plain,
% 14.29/9.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB35, constB36)) | ((~v96(constB36)) <=> v98(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB35, constB36)) | ((~v96(constB36)) <=> v98(constB36)))),
% 14.29/9.49 inference(rewrite,[status(thm)],[])).
% 14.29/9.49 tff(5262,plain,
% 14.29/9.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB35, constB36)) | ((~v96(constB36)) <=> v98(constB36)))),
% 14.29/9.49 inference(quant_inst,[status(thm)],[])).
% 14.29/9.49 tff(5263,plain,
% 14.29/9.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB35, constB36)) | ((~v96(constB36)) <=> v98(constB36))),
% 14.29/9.49 inference(modus_ponens,[status(thm)],[5262, 5261])).
% 14.29/9.49 tff(5264,plain,
% 14.29/9.49 ((~v96(constB36)) <=> v98(constB36)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5263, 1105, 2332])).
% 14.29/9.49 tff(5265,plain,
% 14.29/9.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v98(constB36) <=> v1(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v98(constB36) <=> v1(constB35)))),
% 14.29/9.49 inference(rewrite,[status(thm)],[])).
% 14.29/9.49 tff(5266,plain,
% 14.29/9.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v98(constB36) <=> v1(constB35)))),
% 14.29/9.49 inference(quant_inst,[status(thm)],[])).
% 14.29/9.49 tff(5267,plain,
% 14.29/9.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v98(constB36) <=> v1(constB35))),
% 14.29/9.49 inference(modus_ponens,[status(thm)],[5266, 5265])).
% 14.29/9.49 tff(5268,plain,
% 14.29/9.49 (v98(constB36) <=> v1(constB35)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5267, 1105, 2346])).
% 14.29/9.49 tff(5269,plain,
% 14.29/9.49 ((~(v98(constB36) <=> v1(constB35))) | (~v98(constB36)) | v1(constB35)),
% 14.29/9.49 inference(tautology,[status(thm)],[])).
% 14.29/9.49 tff(5270,plain,
% 14.29/9.49 ((~(v98(constB36) <=> v1(constB35))) | (~v98(constB36))),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5269, 1144])).
% 14.29/9.49 tff(5271,plain,
% 14.29/9.49 (~v98(constB36)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5270, 5268])).
% 14.29/9.49 tff(5272,plain,
% 14.29/9.49 ((~((~v96(constB36)) <=> v98(constB36))) | v96(constB36) | v98(constB36)),
% 14.29/9.49 inference(tautology,[status(thm)],[])).
% 14.29/9.49 tff(5273,plain,
% 14.29/9.49 (v96(constB36)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5272, 5271, 5264])).
% 14.29/9.49 tff(5274,plain,
% 14.29/9.49 (v1(constB36) <=> v1(constB36)),
% 14.29/9.49 inference(rewrite,[status(thm)],[])).
% 14.29/9.49 tff(5275,axiom,(v1(constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_36')).
% 14.29/9.49 tff(5276,plain,
% 14.29/9.49 (v1(constB36)),
% 14.29/9.49 inference(modus_ponens,[status(thm)],[5275, 5274])).
% 14.29/9.49 tff(5277,plain,
% 14.29/9.49 ((~((~v1(constB36)) | (~v96(constB36)))) | (~v1(constB36)) | (~v96(constB36))),
% 14.29/9.49 inference(tautology,[status(thm)],[])).
% 14.29/9.49 tff(5278,plain,
% 14.29/9.49 ((~((~v1(constB36)) | (~v96(constB36)))) | (~v96(constB36))),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5277, 5276])).
% 14.29/9.49 tff(5279,plain,
% 14.29/9.49 (~((~v1(constB36)) | (~v96(constB36)))),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5278, 5273])).
% 14.29/9.49 tff(5280,plain,
% 14.29/9.49 ((~(v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36)))))) | v95(constB36) | ((~v1(constB36)) | (~v96(constB36)))),
% 14.29/9.49 inference(tautology,[status(thm)],[])).
% 14.29/9.49 tff(5281,plain,
% 14.29/9.49 (v95(constB36)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5280, 5279, 5260])).
% 14.29/9.49 tff(5282,plain,
% 14.29/9.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v102(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v102(constB35)))),
% 14.29/9.49 inference(rewrite,[status(thm)],[])).
% 14.29/9.49 tff(5283,plain,
% 14.29/9.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v102(constB35)))),
% 14.29/9.49 inference(quant_inst,[status(thm)],[])).
% 14.29/9.49 tff(5284,plain,
% 14.29/9.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v102(constB35))),
% 14.29/9.49 inference(modus_ponens,[status(thm)],[5283, 5282])).
% 14.29/9.49 tff(5285,plain,
% 14.29/9.49 (v104(constB36) <=> v102(constB35)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5284, 1105, 2373])).
% 14.29/9.49 tff(5286,plain,
% 14.29/9.49 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB35) <=> (v105(constB35) | v106(constB35)))),
% 14.29/9.49 inference(quant_inst,[status(thm)],[])).
% 14.29/9.49 tff(5287,plain,
% 14.29/9.49 (v102(constB35) <=> (v105(constB35) | v106(constB35))),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5286, 2384])).
% 14.29/9.49 tff(5288,plain,
% 14.29/9.49 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB35) <=> (~((~v107(constB35)) | (~v120(constB35)))))),
% 14.29/9.49 inference(quant_inst,[status(thm)],[])).
% 14.29/9.49 tff(5289,plain,
% 14.29/9.49 (v106(constB35) <=> (~((~v107(constB35)) | (~v120(constB35))))),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5288, 2396])).
% 14.29/9.49 tff(5290,plain,
% 14.29/9.49 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB35) <=> (v108(constB35) | v119(constB35)))),
% 14.29/9.49 inference(quant_inst,[status(thm)],[])).
% 14.29/9.49 tff(5291,plain,
% 14.29/9.49 (v107(constB35) <=> (v108(constB35) | v119(constB35))),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5290, 2405])).
% 14.29/9.49 tff(5292,plain,
% 14.29/9.49 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 1)) | (~v84(constB35, 2)))))),
% 14.29/9.49 inference(quant_inst,[status(thm)],[])).
% 14.29/9.49 tff(5293,plain,
% 14.29/9.49 (v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 1)) | (~v84(constB35, 2))))),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5292, 2849])).
% 14.29/9.49 tff(5294,plain,
% 14.29/9.49 ((~(v84(constB35, 0) | (~v84(constB35, 1)) | (~v84(constB35, 2)))) | v84(constB35, 0) | (~v84(constB35, 1)) | (~v84(constB35, 2))),
% 14.29/9.49 inference(tautology,[status(thm)],[])).
% 14.29/9.49 tff(5295,plain,
% 14.29/9.49 (~(v84(constB35, 0) | (~v84(constB35, 1)) | (~v84(constB35, 2)))),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5294, 5187, 5147, 5222])).
% 14.29/9.49 tff(5296,plain,
% 14.29/9.49 ((~(v119(constB35) <=> (~(v84(constB35, 0) | (~v84(constB35, 1)) | (~v84(constB35, 2)))))) | v119(constB35) | (v84(constB35, 0) | (~v84(constB35, 1)) | (~v84(constB35, 2)))),
% 14.29/9.49 inference(tautology,[status(thm)],[])).
% 14.29/9.49 tff(5297,plain,
% 14.29/9.49 (v119(constB35)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5296, 5295, 5293])).
% 14.29/9.49 tff(5298,plain,
% 14.29/9.49 ((v108(constB35) | v119(constB35)) | (~v119(constB35))),
% 14.29/9.49 inference(tautology,[status(thm)],[])).
% 14.29/9.49 tff(5299,plain,
% 14.29/9.49 (v108(constB35) | v119(constB35)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5298, 5297])).
% 14.29/9.49 tff(5300,plain,
% 14.29/9.49 ((~(v107(constB35) <=> (v108(constB35) | v119(constB35)))) | v107(constB35) | (~(v108(constB35) | v119(constB35)))),
% 14.29/9.49 inference(tautology,[status(thm)],[])).
% 14.29/9.49 tff(5301,plain,
% 14.29/9.49 (v107(constB35)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5300, 5299, 5291])).
% 14.29/9.49 tff(5302,plain,
% 14.29/9.49 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB35)) <=> v105(constB35))),
% 14.29/9.49 inference(quant_inst,[status(thm)],[])).
% 14.29/9.49 tff(5303,plain,
% 14.29/9.49 ((~v120(constB35)) <=> v105(constB35)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5302, 2484])).
% 14.29/9.49 tff(5304,plain,
% 14.29/9.49 ((~((~v120(constB35)) <=> v105(constB35))) | v120(constB35) | v105(constB35)),
% 14.29/9.49 inference(tautology,[status(thm)],[])).
% 14.29/9.49 tff(5305,plain,
% 14.29/9.49 ((~((~v120(constB35)) <=> v105(constB35))) | v120(constB35)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5304, 1118])).
% 14.29/9.49 tff(5306,plain,
% 14.29/9.49 (v120(constB35)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5305, 5303])).
% 14.29/9.49 tff(5307,plain,
% 14.29/9.49 ((~((~v107(constB35)) | (~v120(constB35)))) | (~v107(constB35)) | (~v120(constB35))),
% 14.29/9.49 inference(tautology,[status(thm)],[])).
% 14.29/9.49 tff(5308,plain,
% 14.29/9.49 ((~((~v107(constB35)) | (~v120(constB35)))) | (~v107(constB35))),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5307, 5306])).
% 14.29/9.49 tff(5309,plain,
% 14.29/9.49 (~((~v107(constB35)) | (~v120(constB35)))),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5308, 5301])).
% 14.29/9.49 tff(5310,plain,
% 14.29/9.49 ((~(v106(constB35) <=> (~((~v107(constB35)) | (~v120(constB35)))))) | v106(constB35) | ((~v107(constB35)) | (~v120(constB35)))),
% 14.29/9.49 inference(tautology,[status(thm)],[])).
% 14.29/9.49 tff(5311,plain,
% 14.29/9.49 (v106(constB35)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5310, 5309, 5289])).
% 14.29/9.49 tff(5312,plain,
% 14.29/9.49 ((v105(constB35) | v106(constB35)) | (~v106(constB35))),
% 14.29/9.49 inference(tautology,[status(thm)],[])).
% 14.29/9.49 tff(5313,plain,
% 14.29/9.49 (v105(constB35) | v106(constB35)),
% 14.29/9.49 inference(unit_resolution,[status(thm)],[5312, 5311])).
% 14.29/9.49 tff(5314,plain,
% 14.29/9.49 ((~(v102(constB35) <=> (v105(constB35) | v106(constB35)))) | v102(constB35) | (~(v105(constB35) | v106(constB35)))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5315,plain,
% 14.29/9.50 (v102(constB35)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5314, 5313, 5287])).
% 14.29/9.50 tff(5316,plain,
% 14.29/9.50 ((~(v104(constB36) <=> v102(constB35))) | v104(constB36) | (~v102(constB35))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5317,plain,
% 14.29/9.50 (v104(constB36)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5316, 5315, 5285])).
% 14.29/9.50 tff(5318,plain,
% 14.29/9.50 ((~((~v95(constB36)) | (~v104(constB36)))) | (~v95(constB36)) | (~v104(constB36))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5319,plain,
% 14.29/9.50 (~((~v95(constB36)) | (~v104(constB36)))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5318, 5317, 5281])).
% 14.29/9.50 tff(5320,plain,
% 14.29/9.50 ((~(v94(constB36) <=> (~((~v95(constB36)) | (~v104(constB36)))))) | v94(constB36) | ((~v95(constB36)) | (~v104(constB36)))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5321,plain,
% 14.29/9.50 (v94(constB36)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5320, 5319, 5253])).
% 14.29/9.50 tff(5322,plain,
% 14.29/9.50 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB36)) | (~(((~v84(constB36, 2)) <=> v123(constB36, 2)) | ((~v84(constB36, 1)) <=> v123(constB36, 1)) | ((~v84(constB36, 0)) <=> v123(constB36, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB36)) | (~(((~v84(constB36, 2)) <=> v123(constB36, 2)) | ((~v84(constB36, 1)) <=> v123(constB36, 1)) | ((~v84(constB36, 0)) <=> v123(constB36, 0)))))),
% 14.29/9.50 inference(rewrite,[status(thm)],[])).
% 14.29/9.50 tff(5323,plain,
% 14.29/9.50 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB36)) | (~(((~v84(constB36, 2)) <=> v123(constB36, 2)) | ((~v84(constB36, 1)) <=> v123(constB36, 1)) | ((~v84(constB36, 0)) <=> v123(constB36, 0)))))),
% 14.29/9.50 inference(quant_inst,[status(thm)],[])).
% 14.29/9.50 tff(5324,plain,
% 14.29/9.50 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB36)) | (~(((~v84(constB36, 2)) <=> v123(constB36, 2)) | ((~v84(constB36, 1)) <=> v123(constB36, 1)) | ((~v84(constB36, 0)) <=> v123(constB36, 0))))),
% 14.29/9.50 inference(modus_ponens,[status(thm)],[5323, 5322])).
% 14.29/9.50 tff(5325,plain,
% 14.29/9.50 ((~v94(constB36)) | (~(((~v84(constB36, 2)) <=> v123(constB36, 2)) | ((~v84(constB36, 1)) <=> v123(constB36, 1)) | ((~v84(constB36, 0)) <=> v123(constB36, 0))))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5324, 2517])).
% 14.29/9.50 tff(5326,plain,
% 14.29/9.50 (~(((~v84(constB36, 2)) <=> v123(constB36, 2)) | ((~v84(constB36, 1)) <=> v123(constB36, 1)) | ((~v84(constB36, 0)) <=> v123(constB36, 0)))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5325, 5321])).
% 14.29/9.50 tff(5327,plain,
% 14.29/9.50 ((((~v84(constB36, 2)) <=> v123(constB36, 2)) | ((~v84(constB36, 1)) <=> v123(constB36, 1)) | ((~v84(constB36, 0)) <=> v123(constB36, 0))) | (~((~v84(constB36, 2)) <=> v123(constB36, 2)))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5328,plain,
% 14.29/9.50 (~((~v84(constB36, 2)) <=> v123(constB36, 2))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5327, 5326])).
% 14.29/9.50 tff(5329,plain,
% 14.29/9.50 (((~v84(constB36, 2)) <=> v123(constB36, 2)) | (~v84(constB36, 2)) | v123(constB36, 2)),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5330,plain,
% 14.29/9.50 (~v84(constB36, 2)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5329, 5328, 5249])).
% 14.29/9.50 tff(5331,plain,
% 14.29/9.50 (((~v84(constB37, 2)) <=> v84(constB36, 2)) | (~v84(constB37, 2)) | v84(constB36, 2)),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5332,plain,
% 14.29/9.50 (~v84(constB37, 2)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5331, 5330, 1102])).
% 14.29/9.50 tff(5333,plain,
% 14.29/9.50 ((((~v84(constB37, 1)) <=> v84(constB36, 1)) | ((~v84(constB37, 2)) <=> v84(constB36, 2)) | ((~v84(constB37, 0)) <=> v84(constB36, 0))) | (~((~v84(constB37, 0)) <=> v84(constB36, 0)))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5334,plain,
% 14.29/9.50 (~((~v84(constB37, 0)) <=> v84(constB36, 0))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5333, 1100])).
% 14.29/9.50 tff(5335,plain,
% 14.29/9.50 ((((~v123(constB36, 2)) <=> v121(constB35, 2)) | ((~v123(constB36, 1)) <=> v121(constB35, 1)) | ((~v123(constB36, 0)) <=> v121(constB35, 0))) | (~((~v123(constB36, 0)) <=> v121(constB35, 0)))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5336,plain,
% 14.29/9.50 (~((~v123(constB36, 0)) <=> v121(constB35, 0))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5335, 1109])).
% 14.29/9.50 tff(5337,plain,
% 14.29/9.50 ((((~v121(constB35, 2)) <=> v124(constB35, 2)) | ((~v121(constB35, 0)) <=> v124(constB35, 0)) | ((~v121(constB35, 1)) <=> v124(constB35, 1))) | (~((~v121(constB35, 0)) <=> v124(constB35, 0)))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5338,plain,
% 14.29/9.50 (~((~v121(constB35, 0)) <=> v124(constB35, 0))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5337, 1123])).
% 14.29/9.50 tff(5339,plain,
% 14.29/9.50 ((v124(constB35, 2) | v124(constB35, 1) | (~v124(constB35, 0))) | v124(constB35, 0)),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5340,plain,
% 14.29/9.50 (v124(constB35, 0)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5339, 5243])).
% 14.29/9.50 tff(5341,plain,
% 14.29/9.50 (((~v121(constB35, 0)) <=> v124(constB35, 0)) | v121(constB35, 0) | (~v124(constB35, 0))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5342,plain,
% 14.29/9.50 (v121(constB35, 0)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5341, 5340, 5338])).
% 14.29/9.50 tff(5343,plain,
% 14.29/9.50 (((~v123(constB36, 0)) <=> v121(constB35, 0)) | v123(constB36, 0) | (~v121(constB35, 0))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5344,plain,
% 14.29/9.50 (v123(constB36, 0)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5343, 5342, 5336])).
% 14.29/9.50 tff(5345,plain,
% 14.29/9.50 ((((~v84(constB36, 2)) <=> v123(constB36, 2)) | ((~v84(constB36, 1)) <=> v123(constB36, 1)) | ((~v84(constB36, 0)) <=> v123(constB36, 0))) | (~((~v84(constB36, 0)) <=> v123(constB36, 0)))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5346,plain,
% 14.29/9.50 (~((~v84(constB36, 0)) <=> v123(constB36, 0))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5345, 5326])).
% 14.29/9.50 tff(5347,plain,
% 14.29/9.50 (((~v84(constB36, 0)) <=> v123(constB36, 0)) | v84(constB36, 0) | (~v123(constB36, 0))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5348,plain,
% 14.29/9.50 (v84(constB36, 0)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5347, 5346, 5344])).
% 14.29/9.50 tff(5349,plain,
% 14.29/9.50 (((~v84(constB37, 0)) <=> v84(constB36, 0)) | v84(constB37, 0) | (~v84(constB36, 0))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5350,plain,
% 14.29/9.50 (v84(constB37, 0)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5349, 5348, 5334])).
% 14.29/9.50 tff(5351,plain,
% 14.29/9.50 ((((~v84(constB37, 1)) <=> v84(constB36, 1)) | ((~v84(constB37, 2)) <=> v84(constB36, 2)) | ((~v84(constB37, 0)) <=> v84(constB36, 0))) | (~((~v84(constB37, 1)) <=> v84(constB36, 1)))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5352,plain,
% 14.29/9.50 (~((~v84(constB37, 1)) <=> v84(constB36, 1))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5351, 1100])).
% 14.29/9.50 tff(5353,plain,
% 14.29/9.50 ((((~v123(constB36, 2)) <=> v121(constB35, 2)) | ((~v123(constB36, 1)) <=> v121(constB35, 1)) | ((~v123(constB36, 0)) <=> v121(constB35, 0))) | (~((~v123(constB36, 1)) <=> v121(constB35, 1)))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5354,plain,
% 14.29/9.50 (~((~v123(constB36, 1)) <=> v121(constB35, 1))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5353, 1109])).
% 14.29/9.50 tff(5355,plain,
% 14.29/9.50 ((((~v121(constB35, 2)) <=> v124(constB35, 2)) | ((~v121(constB35, 0)) <=> v124(constB35, 0)) | ((~v121(constB35, 1)) <=> v124(constB35, 1))) | (~((~v121(constB35, 1)) <=> v124(constB35, 1)))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5356,plain,
% 14.29/9.50 (~((~v121(constB35, 1)) <=> v124(constB35, 1))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5355, 1123])).
% 14.29/9.50 tff(5357,plain,
% 14.29/9.50 ((v124(constB35, 2) | v124(constB35, 1) | (~v124(constB35, 0))) | (~v124(constB35, 1))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5358,plain,
% 14.29/9.50 (~v124(constB35, 1)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5357, 5243])).
% 14.29/9.50 tff(5359,plain,
% 14.29/9.50 (((~v121(constB35, 1)) <=> v124(constB35, 1)) | (~v121(constB35, 1)) | v124(constB35, 1)),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5360,plain,
% 14.29/9.50 (~v121(constB35, 1)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5359, 5358, 5356])).
% 14.29/9.50 tff(5361,plain,
% 14.29/9.50 (((~v123(constB36, 1)) <=> v121(constB35, 1)) | (~v123(constB36, 1)) | v121(constB35, 1)),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5362,plain,
% 14.29/9.50 (~v123(constB36, 1)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5361, 5360, 5354])).
% 14.29/9.50 tff(5363,plain,
% 14.29/9.50 ((((~v84(constB36, 2)) <=> v123(constB36, 2)) | ((~v84(constB36, 1)) <=> v123(constB36, 1)) | ((~v84(constB36, 0)) <=> v123(constB36, 0))) | (~((~v84(constB36, 1)) <=> v123(constB36, 1)))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5364,plain,
% 14.29/9.50 (~((~v84(constB36, 1)) <=> v123(constB36, 1))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5363, 5326])).
% 14.29/9.50 tff(5365,plain,
% 14.29/9.50 (((~v84(constB36, 1)) <=> v123(constB36, 1)) | (~v84(constB36, 1)) | v123(constB36, 1)),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5366,plain,
% 14.29/9.50 (~v84(constB36, 1)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5365, 5364, 5362])).
% 14.29/9.50 tff(5367,plain,
% 14.29/9.50 (((~v84(constB37, 1)) <=> v84(constB36, 1)) | (~v84(constB37, 1)) | v84(constB36, 1)),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5368,plain,
% 14.29/9.50 (~v84(constB37, 1)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5367, 5366, 5352])).
% 14.29/9.50 tff(5369,plain,
% 14.29/9.50 ((~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0)))) | v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5370,plain,
% 14.29/9.50 (~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0)))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5369, 5368, 5350, 5332])).
% 14.29/9.50 tff(5371,plain,
% 14.29/9.50 ((~(v114(constB37) <=> (~(v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0)))))) | v114(constB37) | (v84(constB37, 1) | v84(constB37, 2) | (~v84(constB37, 0)))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5372,plain,
% 14.29/9.50 (v114(constB37)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5371, 5370, 1066])).
% 14.29/9.50 tff(5373,plain,
% 14.29/9.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB37)) | (~(v124(constB37, 2) | v124(constB37, 0) | (~v124(constB37, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB37)) | (~(v124(constB37, 2) | v124(constB37, 0) | (~v124(constB37, 1)))))),
% 14.29/9.50 inference(rewrite,[status(thm)],[])).
% 14.29/9.50 tff(5374,plain,
% 14.29/9.50 (((~v114(constB37)) | (~(v124(constB37, 0) | v124(constB37, 2) | (~v124(constB37, 1))))) <=> ((~v114(constB37)) | (~(v124(constB37, 2) | v124(constB37, 0) | (~v124(constB37, 1)))))),
% 14.29/9.50 inference(rewrite,[status(thm)],[])).
% 14.29/9.50 tff(5375,plain,
% 14.29/9.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB37)) | (~(v124(constB37, 0) | v124(constB37, 2) | (~v124(constB37, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB37)) | (~(v124(constB37, 2) | v124(constB37, 0) | (~v124(constB37, 1))))))),
% 14.29/9.50 inference(monotonicity,[status(thm)],[5374])).
% 14.29/9.50 tff(5376,plain,
% 14.29/9.50 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB37)) | (~(v124(constB37, 0) | v124(constB37, 2) | (~v124(constB37, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB37)) | (~(v124(constB37, 2) | v124(constB37, 0) | (~v124(constB37, 1)))))),
% 14.29/9.50 inference(transitivity,[status(thm)],[5375, 5373])).
% 14.29/9.50 tff(5377,plain,
% 14.29/9.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB37)) | (~(v124(constB37, 0) | v124(constB37, 2) | (~v124(constB37, 1)))))),
% 14.29/9.50 inference(quant_inst,[status(thm)],[])).
% 14.29/9.50 tff(5378,plain,
% 14.29/9.50 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB37)) | (~(v124(constB37, 2) | v124(constB37, 0) | (~v124(constB37, 1))))),
% 14.29/9.50 inference(modus_ponens,[status(thm)],[5377, 5376])).
% 14.29/9.50 tff(5379,plain,
% 14.29/9.50 ((~v114(constB37)) | (~(v124(constB37, 2) | v124(constB37, 0) | (~v124(constB37, 1))))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5378, 2964])).
% 14.29/9.50 tff(5380,plain,
% 14.29/9.50 (~(v124(constB37, 2) | v124(constB37, 0) | (~v124(constB37, 1)))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5379, 5372])).
% 14.29/9.50 tff(5381,plain,
% 14.29/9.50 ((v124(constB37, 2) | v124(constB37, 0) | (~v124(constB37, 1))) | (~v124(constB37, 2))),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5382,plain,
% 14.29/9.50 (~v124(constB37, 2)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5381, 5380])).
% 14.29/9.50 tff(5383,plain,
% 14.29/9.50 (((~v121(constB37, 2)) <=> v124(constB37, 2)) | (~v121(constB37, 2)) | v124(constB37, 2)),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5384,plain,
% 14.29/9.50 (~v121(constB37, 2)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5383, 5382, 1051])).
% 14.29/9.50 tff(5385,plain,
% 14.29/9.50 (((~v123(constB38, 2)) <=> v121(constB37, 2)) | (~v123(constB38, 2)) | v121(constB37, 2)),
% 14.29/9.50 inference(tautology,[status(thm)],[])).
% 14.29/9.50 tff(5386,plain,
% 14.29/9.50 (~v123(constB38, 2)),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5385, 5384, 1037])).
% 14.29/9.50 tff(5387,plain,
% 14.29/9.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB37, constB38)) | (v94(constB38) <=> (~((~v95(constB38)) | (~v104(constB38))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB37, constB38)) | (v94(constB38) <=> (~((~v95(constB38)) | (~v104(constB38))))))),
% 14.29/9.50 inference(rewrite,[status(thm)],[])).
% 14.29/9.50 tff(5388,plain,
% 14.29/9.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB37, constB38)) | (v94(constB38) <=> (~((~v95(constB38)) | (~v104(constB38))))))),
% 14.29/9.50 inference(quant_inst,[status(thm)],[])).
% 14.29/9.50 tff(5389,plain,
% 14.29/9.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB37, constB38)) | (v94(constB38) <=> (~((~v95(constB38)) | (~v104(constB38)))))),
% 14.29/9.50 inference(modus_ponens,[status(thm)],[5388, 5387])).
% 14.29/9.50 tff(5390,plain,
% 14.29/9.50 (v94(constB38) <=> (~((~v95(constB38)) | (~v104(constB38))))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5389, 1031, 770])).
% 14.29/9.50 tff(5391,plain,
% 14.29/9.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38))))))),
% 14.29/9.50 inference(rewrite,[status(thm)],[])).
% 14.29/9.50 tff(5392,plain,
% 14.29/9.50 (((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v96(constB38)) | (~v1(constB38)))))) <=> ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38))))))),
% 14.29/9.50 inference(rewrite,[status(thm)],[])).
% 14.29/9.50 tff(5393,plain,
% 14.29/9.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v96(constB38)) | (~v1(constB38))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38)))))))),
% 14.29/9.50 inference(monotonicity,[status(thm)],[5392])).
% 14.29/9.50 tff(5394,plain,
% 14.29/9.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v96(constB38)) | (~v1(constB38))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38))))))),
% 14.29/9.50 inference(transitivity,[status(thm)],[5393, 5391])).
% 14.29/9.50 tff(5395,plain,
% 14.29/9.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v96(constB38)) | (~v1(constB38))))))),
% 14.29/9.50 inference(quant_inst,[status(thm)],[])).
% 14.29/9.50 tff(5396,plain,
% 14.29/9.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38)))))),
% 14.29/9.50 inference(modus_ponens,[status(thm)],[5395, 5394])).
% 14.29/9.50 tff(5397,plain,
% 14.29/9.50 (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38))))),
% 14.29/9.50 inference(unit_resolution,[status(thm)],[5396, 1031, 790])).
% 14.29/9.50 tff(5398,plain,
% 14.29/9.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v96(constB38)) <=> v98(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB37, constB38)) | ((~v96(constB38)) <=> v98(constB38)))),
% 14.29/9.50 inference(rewrite,[status(thm)],[])).
% 14.29/9.50 tff(5399,plain,
% 14.29/9.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v96(constB38)) <=> v98(constB38)))),
% 14.29/9.50 inference(quant_inst,[status(thm)],[])).
% 14.29/9.51 tff(5400,plain,
% 14.29/9.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB37, constB38)) | ((~v96(constB38)) <=> v98(constB38))),
% 14.29/9.51 inference(modus_ponens,[status(thm)],[5399, 5398])).
% 14.29/9.51 tff(5401,plain,
% 14.29/9.51 ((~v96(constB38)) <=> v98(constB38)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5400, 1031, 2332])).
% 14.29/9.51 tff(5402,plain,
% 14.29/9.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v98(constB38) <=> v1(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v98(constB38) <=> v1(constB37)))),
% 14.29/9.51 inference(rewrite,[status(thm)],[])).
% 14.29/9.51 tff(5403,plain,
% 14.29/9.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v98(constB38) <=> v1(constB37)))),
% 14.29/9.51 inference(quant_inst,[status(thm)],[])).
% 14.29/9.51 tff(5404,plain,
% 14.29/9.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v98(constB38) <=> v1(constB37))),
% 14.29/9.51 inference(modus_ponens,[status(thm)],[5403, 5402])).
% 14.29/9.51 tff(5405,plain,
% 14.29/9.51 (v98(constB38) <=> v1(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5404, 1031, 2346])).
% 14.29/9.51 tff(5406,plain,
% 14.29/9.51 ((~(v98(constB38) <=> v1(constB37))) | (~v98(constB38)) | v1(constB37)),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5407,plain,
% 14.29/9.51 ((~(v98(constB38) <=> v1(constB37))) | (~v98(constB38))),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5406, 1083])).
% 14.29/9.51 tff(5408,plain,
% 14.29/9.51 (~v98(constB38)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5407, 5405])).
% 14.29/9.51 tff(5409,plain,
% 14.29/9.51 ((~((~v96(constB38)) <=> v98(constB38))) | v96(constB38) | v98(constB38)),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5410,plain,
% 14.29/9.51 (v96(constB38)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5409, 5408, 5401])).
% 14.29/9.51 tff(5411,plain,
% 14.29/9.51 (v1(constB38) <=> v1(constB38)),
% 14.29/9.51 inference(rewrite,[status(thm)],[])).
% 14.29/9.51 tff(5412,axiom,(v1(constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_38')).
% 14.29/9.51 tff(5413,plain,
% 14.29/9.51 (v1(constB38)),
% 14.29/9.51 inference(modus_ponens,[status(thm)],[5412, 5411])).
% 14.29/9.51 tff(5414,plain,
% 14.29/9.51 ((~((~v1(constB38)) | (~v96(constB38)))) | (~v1(constB38)) | (~v96(constB38))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5415,plain,
% 14.29/9.51 ((~((~v1(constB38)) | (~v96(constB38)))) | (~v96(constB38))),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5414, 5413])).
% 14.29/9.51 tff(5416,plain,
% 14.29/9.51 (~((~v1(constB38)) | (~v96(constB38)))),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5415, 5410])).
% 14.29/9.51 tff(5417,plain,
% 14.29/9.51 ((~(v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38)))))) | v95(constB38) | ((~v1(constB38)) | (~v96(constB38)))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5418,plain,
% 14.29/9.51 (v95(constB38)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5417, 5416, 5397])).
% 14.29/9.51 tff(5419,plain,
% 14.29/9.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v102(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v102(constB37)))),
% 14.29/9.51 inference(rewrite,[status(thm)],[])).
% 14.29/9.51 tff(5420,plain,
% 14.29/9.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v102(constB37)))),
% 14.29/9.51 inference(quant_inst,[status(thm)],[])).
% 14.29/9.51 tff(5421,plain,
% 14.29/9.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v102(constB37))),
% 14.29/9.51 inference(modus_ponens,[status(thm)],[5420, 5419])).
% 14.29/9.51 tff(5422,plain,
% 14.29/9.51 (v104(constB38) <=> v102(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5421, 1031, 2373])).
% 14.29/9.51 tff(5423,plain,
% 14.29/9.51 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB37) <=> (v105(constB37) | v106(constB37)))),
% 14.29/9.51 inference(quant_inst,[status(thm)],[])).
% 14.29/9.51 tff(5424,plain,
% 14.29/9.51 (v102(constB37) <=> (v105(constB37) | v106(constB37))),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5423, 2384])).
% 14.29/9.51 tff(5425,plain,
% 14.29/9.51 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB37) <=> (~((~v107(constB37)) | (~v120(constB37)))))),
% 14.29/9.51 inference(quant_inst,[status(thm)],[])).
% 14.29/9.51 tff(5426,plain,
% 14.29/9.51 (v106(constB37) <=> (~((~v107(constB37)) | (~v120(constB37))))),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5425, 2396])).
% 14.29/9.51 tff(5427,plain,
% 14.29/9.51 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB37) <=> (v108(constB37) | v119(constB37)))),
% 14.29/9.51 inference(quant_inst,[status(thm)],[])).
% 14.29/9.51 tff(5428,plain,
% 14.29/9.51 (v107(constB37) <=> (v108(constB37) | v119(constB37))),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5427, 2405])).
% 14.29/9.51 tff(5429,plain,
% 14.29/9.51 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB37) <=> (v109(constB37) | v118(constB37)))),
% 14.29/9.51 inference(quant_inst,[status(thm)],[])).
% 14.29/9.51 tff(5430,plain,
% 14.29/9.51 (v108(constB37) <=> (v109(constB37) | v118(constB37))),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5429, 2414])).
% 14.29/9.51 tff(5431,plain,
% 14.29/9.51 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB37) <=> (v110(constB37) | v117(constB37)))),
% 14.29/9.51 inference(quant_inst,[status(thm)],[])).
% 14.29/9.51 tff(5432,plain,
% 14.29/9.51 (v109(constB37) <=> (v110(constB37) | v117(constB37))),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5431, 2423])).
% 14.29/9.51 tff(5433,plain,
% 14.29/9.51 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB37) <=> (v111(constB37) | v116(constB37)))),
% 14.29/9.51 inference(quant_inst,[status(thm)],[])).
% 14.29/9.51 tff(5434,plain,
% 14.29/9.51 (v110(constB37) <=> (v111(constB37) | v116(constB37))),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5433, 2432])).
% 14.29/9.51 tff(5435,plain,
% 14.29/9.51 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB37) <=> (v112(constB37) | v115(constB37)))),
% 14.29/9.51 inference(quant_inst,[status(thm)],[])).
% 14.29/9.51 tff(5436,plain,
% 14.29/9.51 (v111(constB37) <=> (v112(constB37) | v115(constB37))),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5435, 2441])).
% 14.29/9.51 tff(5437,plain,
% 14.29/9.51 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB37) <=> (v113(constB37) | v114(constB37)))),
% 14.29/9.51 inference(quant_inst,[status(thm)],[])).
% 14.29/9.51 tff(5438,plain,
% 14.29/9.51 (v112(constB37) <=> (v113(constB37) | v114(constB37))),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5437, 2450])).
% 14.29/9.51 tff(5439,plain,
% 14.29/9.51 ((v113(constB37) | v114(constB37)) | (~v114(constB37))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5440,plain,
% 14.29/9.51 (v113(constB37) | v114(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5439, 5372])).
% 14.29/9.51 tff(5441,plain,
% 14.29/9.51 ((~(v112(constB37) <=> (v113(constB37) | v114(constB37)))) | v112(constB37) | (~(v113(constB37) | v114(constB37)))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5442,plain,
% 14.29/9.51 (v112(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5441, 5440, 5438])).
% 14.29/9.51 tff(5443,plain,
% 14.29/9.51 ((v112(constB37) | v115(constB37)) | (~v112(constB37))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5444,plain,
% 14.29/9.51 (v112(constB37) | v115(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5443, 5442])).
% 14.29/9.51 tff(5445,plain,
% 14.29/9.51 ((~(v111(constB37) <=> (v112(constB37) | v115(constB37)))) | v111(constB37) | (~(v112(constB37) | v115(constB37)))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5446,plain,
% 14.29/9.51 (v111(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5445, 5444, 5436])).
% 14.29/9.51 tff(5447,plain,
% 14.29/9.51 ((v111(constB37) | v116(constB37)) | (~v111(constB37))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5448,plain,
% 14.29/9.51 (v111(constB37) | v116(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5447, 5446])).
% 14.29/9.51 tff(5449,plain,
% 14.29/9.51 ((~(v110(constB37) <=> (v111(constB37) | v116(constB37)))) | v110(constB37) | (~(v111(constB37) | v116(constB37)))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5450,plain,
% 14.29/9.51 (v110(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5449, 5448, 5434])).
% 14.29/9.51 tff(5451,plain,
% 14.29/9.51 ((v110(constB37) | v117(constB37)) | (~v110(constB37))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5452,plain,
% 14.29/9.51 (v110(constB37) | v117(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5451, 5450])).
% 14.29/9.51 tff(5453,plain,
% 14.29/9.51 ((~(v109(constB37) <=> (v110(constB37) | v117(constB37)))) | v109(constB37) | (~(v110(constB37) | v117(constB37)))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5454,plain,
% 14.29/9.51 (v109(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5453, 5452, 5432])).
% 14.29/9.51 tff(5455,plain,
% 14.29/9.51 ((v109(constB37) | v118(constB37)) | (~v109(constB37))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5456,plain,
% 14.29/9.51 (v109(constB37) | v118(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5455, 5454])).
% 14.29/9.51 tff(5457,plain,
% 14.29/9.51 ((~(v108(constB37) <=> (v109(constB37) | v118(constB37)))) | v108(constB37) | (~(v109(constB37) | v118(constB37)))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5458,plain,
% 14.29/9.51 (v108(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5457, 5456, 5430])).
% 14.29/9.51 tff(5459,plain,
% 14.29/9.51 ((v108(constB37) | v119(constB37)) | (~v108(constB37))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5460,plain,
% 14.29/9.51 (v108(constB37) | v119(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5459, 5458])).
% 14.29/9.51 tff(5461,plain,
% 14.29/9.51 ((~(v107(constB37) <=> (v108(constB37) | v119(constB37)))) | v107(constB37) | (~(v108(constB37) | v119(constB37)))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5462,plain,
% 14.29/9.51 (v107(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5461, 5460, 5428])).
% 14.29/9.51 tff(5463,plain,
% 14.29/9.51 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB37)) <=> v105(constB37))),
% 14.29/9.51 inference(quant_inst,[status(thm)],[])).
% 14.29/9.51 tff(5464,plain,
% 14.29/9.51 ((~v120(constB37)) <=> v105(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5463, 2484])).
% 14.29/9.51 tff(5465,plain,
% 14.29/9.51 ((~((~v120(constB37)) <=> v105(constB37))) | v120(constB37) | v105(constB37)),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5466,plain,
% 14.29/9.51 ((~((~v120(constB37)) <=> v105(constB37))) | v120(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5465, 1044])).
% 14.29/9.51 tff(5467,plain,
% 14.29/9.51 (v120(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5466, 5464])).
% 14.29/9.51 tff(5468,plain,
% 14.29/9.51 ((~((~v107(constB37)) | (~v120(constB37)))) | (~v107(constB37)) | (~v120(constB37))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5469,plain,
% 14.29/9.51 ((~((~v107(constB37)) | (~v120(constB37)))) | (~v107(constB37))),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5468, 5467])).
% 14.29/9.51 tff(5470,plain,
% 14.29/9.51 (~((~v107(constB37)) | (~v120(constB37)))),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5469, 5462])).
% 14.29/9.51 tff(5471,plain,
% 14.29/9.51 ((~(v106(constB37) <=> (~((~v107(constB37)) | (~v120(constB37)))))) | v106(constB37) | ((~v107(constB37)) | (~v120(constB37)))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5472,plain,
% 14.29/9.51 (v106(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5471, 5470, 5426])).
% 14.29/9.51 tff(5473,plain,
% 14.29/9.51 ((v105(constB37) | v106(constB37)) | (~v106(constB37))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5474,plain,
% 14.29/9.51 (v105(constB37) | v106(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5473, 5472])).
% 14.29/9.51 tff(5475,plain,
% 14.29/9.51 ((~(v102(constB37) <=> (v105(constB37) | v106(constB37)))) | v102(constB37) | (~(v105(constB37) | v106(constB37)))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5476,plain,
% 14.29/9.51 (v102(constB37)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5475, 5474, 5424])).
% 14.29/9.51 tff(5477,plain,
% 14.29/9.51 ((~(v104(constB38) <=> v102(constB37))) | v104(constB38) | (~v102(constB37))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5478,plain,
% 14.29/9.51 (v104(constB38)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5477, 5476, 5422])).
% 14.29/9.51 tff(5479,plain,
% 14.29/9.51 ((~((~v95(constB38)) | (~v104(constB38)))) | (~v95(constB38)) | (~v104(constB38))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5480,plain,
% 14.29/9.51 (~((~v95(constB38)) | (~v104(constB38)))),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5479, 5478, 5418])).
% 14.29/9.51 tff(5481,plain,
% 14.29/9.51 ((~(v94(constB38) <=> (~((~v95(constB38)) | (~v104(constB38)))))) | v94(constB38) | ((~v95(constB38)) | (~v104(constB38)))),
% 14.29/9.51 inference(tautology,[status(thm)],[])).
% 14.29/9.51 tff(5482,plain,
% 14.29/9.51 (v94(constB38)),
% 14.29/9.51 inference(unit_resolution,[status(thm)],[5481, 5480, 5390])).
% 14.29/9.51 tff(5483,plain,
% 14.29/9.51 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB38)) | (~(((~v84(constB38, 0)) <=> v123(constB38, 0)) | ((~v84(constB38, 2)) <=> v123(constB38, 2)) | ((~v84(constB38, 1)) <=> v123(constB38, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB38)) | (~(((~v84(constB38, 0)) <=> v123(constB38, 0)) | ((~v84(constB38, 2)) <=> v123(constB38, 2)) | ((~v84(constB38, 1)) <=> v123(constB38, 1)))))),
% 14.29/9.51 inference(rewrite,[status(thm)],[])).
% 14.29/9.51 tff(5484,plain,
% 14.29/9.51 (((~v94(constB38)) | (~(((~v84(constB38, 2)) <=> v123(constB38, 2)) | ((~v84(constB38, 1)) <=> v123(constB38, 1)) | ((~v84(constB38, 0)) <=> v123(constB38, 0))))) <=> ((~v94(constB38)) | (~(((~v84(constB38, 0)) <=> v123(constB38, 0)) | ((~v84(constB38, 2)) <=> v123(constB38, 2)) | ((~v84(constB38, 1)) <=> v123(constB38, 1)))))),
% 14.29/9.51 inference(rewrite,[status(thm)],[])).
% 14.29/9.51 tff(5485,plain,
% 14.29/9.51 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB38)) | (~(((~v84(constB38, 2)) <=> v123(constB38, 2)) | ((~v84(constB38, 1)) <=> v123(constB38, 1)) | ((~v84(constB38, 0)) <=> v123(constB38, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB38)) | (~(((~v84(constB38, 0)) <=> v123(constB38, 0)) | ((~v84(constB38, 2)) <=> v123(constB38, 2)) | ((~v84(constB38, 1)) <=> v123(constB38, 1))))))),
% 14.29/9.51 inference(monotonicity,[status(thm)],[5484])).
% 14.29/9.51 tff(5486,plain,
% 14.29/9.51 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB38)) | (~(((~v84(constB38, 2)) <=> v123(constB38, 2)) | ((~v84(constB38, 1)) <=> v123(constB38, 1)) | ((~v84(constB38, 0)) <=> v123(constB38, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB38)) | (~(((~v84(constB38, 0)) <=> v123(constB38, 0)) | ((~v84(constB38, 2)) <=> v123(constB38, 2)) | ((~v84(constB38, 1)) <=> v123(constB38, 1)))))),
% 14.29/9.51 inference(transitivity,[status(thm)],[5485, 5483])).
% 14.29/9.51 tff(5487,plain,
% 14.29/9.51 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB38)) | (~(((~v84(constB38, 2)) <=> v123(constB38, 2)) | ((~v84(constB38, 1)) <=> v123(constB38, 1)) | ((~v84(constB38, 0)) <=> v123(constB38, 0)))))),
% 14.29/9.51 inference(quant_inst,[status(thm)],[])).
% 14.29/9.51 tff(5488,plain,
% 14.29/9.51 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB38)) | (~(((~v84(constB38, 0)) <=> v123(constB38, 0)) | ((~v84(constB38, 2)) <=> v123(constB38, 2)) | ((~v84(constB38, 1)) <=> v123(constB38, 1))))),
% 14.29/9.51 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 14.29/9.52 tff(5489,plain,
% 14.29/9.52 ((~v94(constB38)) | (~(((~v84(constB38, 0)) <=> v123(constB38, 0)) | ((~v84(constB38, 2)) <=> v123(constB38, 2)) | ((~v84(constB38, 1)) <=> v123(constB38, 1))))),
% 14.29/9.52 inference(unit_resolution,[status(thm)],[5488, 2517])).
% 14.29/9.52 tff(5490,plain,
% 14.29/9.52 (~(((~v84(constB38, 0)) <=> v123(constB38, 0)) | ((~v84(constB38, 2)) <=> v123(constB38, 2)) | ((~v84(constB38, 1)) <=> v123(constB38, 1)))),
% 14.29/9.52 inference(unit_resolution,[status(thm)],[5489, 5482])).
% 14.29/9.52 tff(5491,plain,
% 14.29/9.52 ((((~v84(constB38, 0)) <=> v123(constB38, 0)) | ((~v84(constB38, 2)) <=> v123(constB38, 2)) | ((~v84(constB38, 1)) <=> v123(constB38, 1))) | (~((~v84(constB38, 2)) <=> v123(constB38, 2)))),
% 14.29/9.52 inference(tautology,[status(thm)],[])).
% 14.29/9.52 tff(5492,plain,
% 14.29/9.52 (~((~v84(constB38, 2)) <=> v123(constB38, 2))),
% 14.29/9.52 inference(unit_resolution,[status(thm)],[5491, 5490])).
% 14.29/9.52 tff(5493,plain,
% 14.29/9.52 (((~v84(constB38, 2)) <=> v123(constB38, 2)) | (~v84(constB38, 2)) | v123(constB38, 2)),
% 14.29/9.52 inference(tautology,[status(thm)],[])).
% 14.29/9.52 tff(5494,plain,
% 14.29/9.52 (~v84(constB38, 2)),
% 14.29/9.52 inference(unit_resolution,[status(thm)],[5493, 5492, 5386])).
% 14.29/9.52 tff(5495,plain,
% 14.29/9.52 (((~v84(constB39, 2)) <=> v84(constB38, 2)) | (~v84(constB39, 2)) | v84(constB38, 2)),
% 14.29/9.52 inference(tautology,[status(thm)],[])).
% 14.29/9.52 tff(5496,plain,
% 14.29/9.52 (~v84(constB39, 2)),
% 14.29/9.52 inference(unit_resolution,[status(thm)],[5495, 5494, 1028])).
% 14.29/9.52 tff(5497,plain,
% 14.29/9.52 ((((~v84(constB39, 1)) <=> v84(constB38, 1)) | ((~v84(constB39, 2)) <=> v84(constB38, 2)) | ((~v84(constB39, 0)) <=> v84(constB38, 0))) | (~((~v84(constB39, 0)) <=> v84(constB38, 0)))),
% 14.29/9.52 inference(tautology,[status(thm)],[])).
% 14.29/9.52 tff(5498,plain,
% 14.29/9.52 (~((~v84(constB39, 0)) <=> v84(constB38, 0))),
% 14.29/9.52 inference(unit_resolution,[status(thm)],[5497, 1026])).
% 14.29/9.52 tff(5499,plain,
% 14.29/9.52 ((((~v123(constB38, 2)) <=> v121(constB37, 2)) | ((~v123(constB38, 1)) <=> v121(constB37, 1)) | ((~v123(constB38, 0)) <=> v121(constB37, 0))) | (~((~v123(constB38, 0)) <=> v121(constB37, 0)))),
% 14.29/9.52 inference(tautology,[status(thm)],[])).
% 14.29/9.52 tff(5500,plain,
% 14.29/9.52 (~((~v123(constB38, 0)) <=> v121(constB37, 0))),
% 14.29/9.52 inference(unit_resolution,[status(thm)],[5499, 1035])).
% 14.29/9.52 tff(5501,plain,
% 14.29/9.52 ((((~v121(constB37, 2)) <=> v124(constB37, 2)) | ((~v121(constB37, 0)) <=> v124(constB37, 0)) | ((~v121(constB37, 1)) <=> v124(constB37, 1))) | (~((~v121(constB37, 0)) <=> v124(constB37, 0)))),
% 14.29/9.52 inference(tautology,[status(thm)],[])).
% 14.29/9.52 tff(5502,plain,
% 14.29/9.52 (~((~v121(constB37, 0)) <=> v124(constB37, 0))),
% 14.29/9.52 inference(unit_resolution,[status(thm)],[5501, 1049])).
% 14.29/9.52 tff(5503,plain,
% 14.29/9.52 ((v124(constB37, 2) | v124(constB37, 0) | (~v124(constB37, 1))) | (~v124(constB37, 0))),
% 14.29/9.52 inference(tautology,[status(thm)],[])).
% 14.29/9.52 tff(5504,plain,
% 14.29/9.52 (~v124(constB37, 0)),
% 14.29/9.52 inference(unit_resolution,[status(thm)],[5503, 5380])).
% 14.29/9.52 tff(5505,plain,
% 14.29/9.52 (((~v121(constB37, 0)) <=> v124(constB37, 0)) | (~v121(constB37, 0)) | v124(constB37, 0)),
% 14.29/9.52 inference(tautology,[status(thm)],[])).
% 14.29/9.52 tff(5506,plain,
% 14.29/9.52 (~v121(constB37, 0)),
% 14.29/9.52 inference(unit_resolution,[status(thm)],[5505, 5504, 5502])).
% 14.29/9.52 tff(5507,plain,
% 14.29/9.52 (((~v123(constB38, 0)) <=> v121(constB37, 0)) | (~v123(constB38, 0)) | v121(constB37, 0)),
% 14.29/9.52 inference(tautology,[status(thm)],[])).
% 14.29/9.52 tff(5508,plain,
% 14.29/9.52 (~v123(constB38, 0)),
% 14.29/9.52 inference(unit_resolution,[status(thm)],[5507, 5506, 5500])).
% 14.29/9.52 tff(5509,plain,
% 14.29/9.52 ((((~v84(constB38, 0)) <=> v123(constB38, 0)) | ((~v84(constB38, 2)) <=> v123(constB38, 2)) | ((~v84(constB38, 1)) <=> v123(constB38, 1))) | (~((~v84(constB38, 0)) <=> v123(constB38, 0)))),
% 14.29/9.52 inference(tautology,[status(thm)],[])).
% 14.29/9.52 tff(5510,plain,
% 14.29/9.52 (~((~v84(constB38, 0)) <=> v123(constB38, 0))),
% 14.29/9.52 inference(unit_resolution,[status(thm)],[5509, 5490])).
% 14.29/9.52 tff(5511,plain,
% 14.29/9.52 (((~v84(constB38, 0)) <=> v123(constB38, 0)) | (~v84(constB38, 0)) | v123(constB38, 0)),
% 14.29/9.52 inference(tautology,[status(thm)],[])).
% 14.29/9.52 tff(5512,plain,
% 14.29/9.52 (~v84(constB38, 0)),
% 14.29/9.52 inference(unit_resolution,[status(thm)],[5511, 5510, 5508])).
% 14.29/9.52 tff(5513,plain,
% 14.29/9.52 (((~v84(constB39, 0)) <=> v84(constB38, 0)) | (~v84(constB39, 0)) | v84(constB38, 0)),
% 14.29/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5514,plain,
% 14.39/9.52 (~v84(constB39, 0)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5513, 5512, 5498])).
% 14.39/9.52 tff(5515,plain,
% 14.39/9.52 ((((~v84(constB39, 1)) <=> v84(constB38, 1)) | ((~v84(constB39, 2)) <=> v84(constB38, 2)) | ((~v84(constB39, 0)) <=> v84(constB38, 0))) | (~((~v84(constB39, 1)) <=> v84(constB38, 1)))),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5516,plain,
% 14.39/9.52 (~((~v84(constB39, 1)) <=> v84(constB38, 1))),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5515, 1026])).
% 14.39/9.52 tff(5517,plain,
% 14.39/9.52 ((((~v123(constB38, 2)) <=> v121(constB37, 2)) | ((~v123(constB38, 1)) <=> v121(constB37, 1)) | ((~v123(constB38, 0)) <=> v121(constB37, 0))) | (~((~v123(constB38, 1)) <=> v121(constB37, 1)))),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5518,plain,
% 14.39/9.52 (~((~v123(constB38, 1)) <=> v121(constB37, 1))),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5517, 1035])).
% 14.39/9.52 tff(5519,plain,
% 14.39/9.52 ((((~v121(constB37, 2)) <=> v124(constB37, 2)) | ((~v121(constB37, 0)) <=> v124(constB37, 0)) | ((~v121(constB37, 1)) <=> v124(constB37, 1))) | (~((~v121(constB37, 1)) <=> v124(constB37, 1)))),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5520,plain,
% 14.39/9.52 (~((~v121(constB37, 1)) <=> v124(constB37, 1))),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5519, 1049])).
% 14.39/9.52 tff(5521,plain,
% 14.39/9.52 ((v124(constB37, 2) | v124(constB37, 0) | (~v124(constB37, 1))) | v124(constB37, 1)),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5522,plain,
% 14.39/9.52 (v124(constB37, 1)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5521, 5380])).
% 14.39/9.52 tff(5523,plain,
% 14.39/9.52 (((~v121(constB37, 1)) <=> v124(constB37, 1)) | v121(constB37, 1) | (~v124(constB37, 1))),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5524,plain,
% 14.39/9.52 (v121(constB37, 1)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5523, 5522, 5520])).
% 14.39/9.52 tff(5525,plain,
% 14.39/9.52 (((~v123(constB38, 1)) <=> v121(constB37, 1)) | v123(constB38, 1) | (~v121(constB37, 1))),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5526,plain,
% 14.39/9.52 (v123(constB38, 1)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5525, 5524, 5518])).
% 14.39/9.52 tff(5527,plain,
% 14.39/9.52 ((((~v84(constB38, 0)) <=> v123(constB38, 0)) | ((~v84(constB38, 2)) <=> v123(constB38, 2)) | ((~v84(constB38, 1)) <=> v123(constB38, 1))) | (~((~v84(constB38, 1)) <=> v123(constB38, 1)))),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5528,plain,
% 14.39/9.52 (~((~v84(constB38, 1)) <=> v123(constB38, 1))),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5527, 5490])).
% 14.39/9.52 tff(5529,plain,
% 14.39/9.52 (((~v84(constB38, 1)) <=> v123(constB38, 1)) | v84(constB38, 1) | (~v123(constB38, 1))),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5530,plain,
% 14.39/9.52 (v84(constB38, 1)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5529, 5528, 5526])).
% 14.39/9.52 tff(5531,plain,
% 14.39/9.52 (((~v84(constB39, 1)) <=> v84(constB38, 1)) | v84(constB39, 1) | (~v84(constB38, 1))),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5532,plain,
% 14.39/9.52 (v84(constB39, 1)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5531, 5530, 5516])).
% 14.39/9.52 tff(5533,plain,
% 14.39/9.52 ((~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))) | v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1))),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5534,plain,
% 14.39/9.52 (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5533, 5532, 5514, 5496])).
% 14.39/9.52 tff(5535,plain,
% 14.39/9.52 ((~(v115(constB39) <=> (~(v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))))) | v115(constB39) | (v84(constB39, 2) | v84(constB39, 0) | (~v84(constB39, 1)))),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5536,plain,
% 14.39/9.52 (v115(constB39)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5535, 5534, 992])).
% 14.39/9.52 tff(5537,plain,
% 14.39/9.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB39)) | (~(v124(constB39, 2) | (~v124(constB39, 0)) | (~v124(constB39, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB39)) | (~(v124(constB39, 2) | (~v124(constB39, 0)) | (~v124(constB39, 1)))))),
% 14.39/9.52 inference(rewrite,[status(thm)],[])).
% 14.39/9.52 tff(5538,plain,
% 14.39/9.52 (((~v115(constB39)) | (~(v124(constB39, 2) | (~v124(constB39, 1)) | (~v124(constB39, 0))))) <=> ((~v115(constB39)) | (~(v124(constB39, 2) | (~v124(constB39, 0)) | (~v124(constB39, 1)))))),
% 14.39/9.52 inference(rewrite,[status(thm)],[])).
% 14.39/9.52 tff(5539,plain,
% 14.39/9.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB39)) | (~(v124(constB39, 2) | (~v124(constB39, 1)) | (~v124(constB39, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB39)) | (~(v124(constB39, 2) | (~v124(constB39, 0)) | (~v124(constB39, 1))))))),
% 14.39/9.52 inference(monotonicity,[status(thm)],[5538])).
% 14.39/9.52 tff(5540,plain,
% 14.39/9.52 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB39)) | (~(v124(constB39, 2) | (~v124(constB39, 1)) | (~v124(constB39, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB39)) | (~(v124(constB39, 2) | (~v124(constB39, 0)) | (~v124(constB39, 1)))))),
% 14.39/9.52 inference(transitivity,[status(thm)],[5539, 5537])).
% 14.39/9.52 tff(5541,plain,
% 14.39/9.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB39)) | (~(v124(constB39, 2) | (~v124(constB39, 1)) | (~v124(constB39, 0)))))),
% 14.39/9.52 inference(quant_inst,[status(thm)],[])).
% 14.39/9.52 tff(5542,plain,
% 14.39/9.52 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB39)) | (~(v124(constB39, 2) | (~v124(constB39, 0)) | (~v124(constB39, 1))))),
% 14.39/9.52 inference(modus_ponens,[status(thm)],[5541, 5540])).
% 14.39/9.52 tff(5543,plain,
% 14.39/9.52 ((~v115(constB39)) | (~(v124(constB39, 2) | (~v124(constB39, 0)) | (~v124(constB39, 1))))),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5542, 3138])).
% 14.39/9.52 tff(5544,plain,
% 14.39/9.52 (~(v124(constB39, 2) | (~v124(constB39, 0)) | (~v124(constB39, 1)))),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5543, 5536])).
% 14.39/9.52 tff(5545,plain,
% 14.39/9.52 ((v124(constB39, 2) | (~v124(constB39, 0)) | (~v124(constB39, 1))) | (~v124(constB39, 2))),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5546,plain,
% 14.39/9.52 (~v124(constB39, 2)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5545, 5544])).
% 14.39/9.52 tff(5547,plain,
% 14.39/9.52 (((~v121(constB39, 2)) <=> v124(constB39, 2)) | (~v121(constB39, 2)) | v124(constB39, 2)),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5548,plain,
% 14.39/9.52 (~v121(constB39, 2)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5547, 5546, 972])).
% 14.39/9.52 tff(5549,plain,
% 14.39/9.52 (((~v123(constB40, 2)) <=> v121(constB39, 2)) | (~v123(constB40, 2)) | v121(constB39, 2)),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5550,plain,
% 14.39/9.52 (~v123(constB40, 2)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5549, 5548, 958])).
% 14.39/9.52 tff(5551,plain,
% 14.39/9.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB39, constB40)) | (v94(constB40) <=> (~((~v95(constB40)) | (~v104(constB40))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB39, constB40)) | (v94(constB40) <=> (~((~v95(constB40)) | (~v104(constB40))))))),
% 14.39/9.52 inference(rewrite,[status(thm)],[])).
% 14.39/9.52 tff(5552,plain,
% 14.39/9.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB39, constB40)) | (v94(constB40) <=> (~((~v95(constB40)) | (~v104(constB40))))))),
% 14.39/9.52 inference(quant_inst,[status(thm)],[])).
% 14.39/9.52 tff(5553,plain,
% 14.39/9.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB39, constB40)) | (v94(constB40) <=> (~((~v95(constB40)) | (~v104(constB40)))))),
% 14.39/9.52 inference(modus_ponens,[status(thm)],[5552, 5551])).
% 14.39/9.52 tff(5554,plain,
% 14.39/9.52 (v94(constB40) <=> (~((~v95(constB40)) | (~v104(constB40))))),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5553, 952, 770])).
% 14.39/9.52 tff(5555,plain,
% 14.39/9.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40))))))),
% 14.39/9.52 inference(rewrite,[status(thm)],[])).
% 14.39/9.52 tff(5556,plain,
% 14.39/9.52 (((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v96(constB40)) | (~v1(constB40)))))) <=> ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40))))))),
% 14.39/9.52 inference(rewrite,[status(thm)],[])).
% 14.39/9.52 tff(5557,plain,
% 14.39/9.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v96(constB40)) | (~v1(constB40))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40)))))))),
% 14.39/9.52 inference(monotonicity,[status(thm)],[5556])).
% 14.39/9.52 tff(5558,plain,
% 14.39/9.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v96(constB40)) | (~v1(constB40))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40))))))),
% 14.39/9.52 inference(transitivity,[status(thm)],[5557, 5555])).
% 14.39/9.52 tff(5559,plain,
% 14.39/9.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v96(constB40)) | (~v1(constB40))))))),
% 14.39/9.52 inference(quant_inst,[status(thm)],[])).
% 14.39/9.52 tff(5560,plain,
% 14.39/9.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40)))))),
% 14.39/9.52 inference(modus_ponens,[status(thm)],[5559, 5558])).
% 14.39/9.52 tff(5561,plain,
% 14.39/9.52 (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40))))),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5560, 952, 790])).
% 14.39/9.52 tff(5562,plain,
% 14.39/9.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v96(constB40)) <=> v98(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB39, constB40)) | ((~v96(constB40)) <=> v98(constB40)))),
% 14.39/9.52 inference(rewrite,[status(thm)],[])).
% 14.39/9.52 tff(5563,plain,
% 14.39/9.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v96(constB40)) <=> v98(constB40)))),
% 14.39/9.52 inference(quant_inst,[status(thm)],[])).
% 14.39/9.52 tff(5564,plain,
% 14.39/9.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB39, constB40)) | ((~v96(constB40)) <=> v98(constB40))),
% 14.39/9.52 inference(modus_ponens,[status(thm)],[5563, 5562])).
% 14.39/9.52 tff(5565,plain,
% 14.39/9.52 ((~v96(constB40)) <=> v98(constB40)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5564, 952, 2332])).
% 14.39/9.52 tff(5566,plain,
% 14.39/9.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v98(constB40) <=> v1(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v98(constB40) <=> v1(constB39)))),
% 14.39/9.52 inference(rewrite,[status(thm)],[])).
% 14.39/9.52 tff(5567,plain,
% 14.39/9.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v98(constB40) <=> v1(constB39)))),
% 14.39/9.52 inference(quant_inst,[status(thm)],[])).
% 14.39/9.52 tff(5568,plain,
% 14.39/9.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v98(constB40) <=> v1(constB39))),
% 14.39/9.52 inference(modus_ponens,[status(thm)],[5567, 5566])).
% 14.39/9.52 tff(5569,plain,
% 14.39/9.52 (v98(constB40) <=> v1(constB39)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5568, 952, 2346])).
% 14.39/9.52 tff(5570,plain,
% 14.39/9.52 ((~(v98(constB40) <=> v1(constB39))) | (~v98(constB40)) | v1(constB39)),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5571,plain,
% 14.39/9.52 ((~(v98(constB40) <=> v1(constB39))) | (~v98(constB40))),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5570, 1009])).
% 14.39/9.52 tff(5572,plain,
% 14.39/9.52 (~v98(constB40)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5571, 5569])).
% 14.39/9.52 tff(5573,plain,
% 14.39/9.52 ((~((~v96(constB40)) <=> v98(constB40))) | v96(constB40) | v98(constB40)),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5574,plain,
% 14.39/9.52 (v96(constB40)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5573, 5572, 5565])).
% 14.39/9.52 tff(5575,plain,
% 14.39/9.52 (v1(constB40) <=> v1(constB40)),
% 14.39/9.52 inference(rewrite,[status(thm)],[])).
% 14.39/9.52 tff(5576,axiom,(v1(constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_40')).
% 14.39/9.52 tff(5577,plain,
% 14.39/9.52 (v1(constB40)),
% 14.39/9.52 inference(modus_ponens,[status(thm)],[5576, 5575])).
% 14.39/9.52 tff(5578,plain,
% 14.39/9.52 ((~((~v1(constB40)) | (~v96(constB40)))) | (~v1(constB40)) | (~v96(constB40))),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5579,plain,
% 14.39/9.52 ((~((~v1(constB40)) | (~v96(constB40)))) | (~v96(constB40))),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5578, 5577])).
% 14.39/9.52 tff(5580,plain,
% 14.39/9.52 (~((~v1(constB40)) | (~v96(constB40)))),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5579, 5574])).
% 14.39/9.52 tff(5581,plain,
% 14.39/9.52 ((~(v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40)))))) | v95(constB40) | ((~v1(constB40)) | (~v96(constB40)))),
% 14.39/9.52 inference(tautology,[status(thm)],[])).
% 14.39/9.52 tff(5582,plain,
% 14.39/9.52 (v95(constB40)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5581, 5580, 5561])).
% 14.39/9.52 tff(5583,plain,
% 14.39/9.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v102(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v102(constB39)))),
% 14.39/9.52 inference(rewrite,[status(thm)],[])).
% 14.39/9.52 tff(5584,plain,
% 14.39/9.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v102(constB39)))),
% 14.39/9.52 inference(quant_inst,[status(thm)],[])).
% 14.39/9.52 tff(5585,plain,
% 14.39/9.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v102(constB39))),
% 14.39/9.52 inference(modus_ponens,[status(thm)],[5584, 5583])).
% 14.39/9.52 tff(5586,plain,
% 14.39/9.52 (v104(constB40) <=> v102(constB39)),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5585, 952, 2373])).
% 14.39/9.52 tff(5587,plain,
% 14.39/9.52 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB39) <=> (v105(constB39) | v106(constB39)))),
% 14.39/9.52 inference(quant_inst,[status(thm)],[])).
% 14.39/9.52 tff(5588,plain,
% 14.39/9.52 (v102(constB39) <=> (v105(constB39) | v106(constB39))),
% 14.39/9.52 inference(unit_resolution,[status(thm)],[5587, 2384])).
% 14.39/9.52 tff(5589,plain,
% 14.39/9.52 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB39) <=> (~((~v107(constB39)) | (~v120(constB39)))))),
% 14.39/9.53 inference(quant_inst,[status(thm)],[])).
% 14.39/9.53 tff(5590,plain,
% 14.39/9.53 (v106(constB39) <=> (~((~v107(constB39)) | (~v120(constB39))))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5589, 2396])).
% 14.39/9.53 tff(5591,plain,
% 14.39/9.53 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB39) <=> (v108(constB39) | v119(constB39)))),
% 14.39/9.53 inference(quant_inst,[status(thm)],[])).
% 14.39/9.53 tff(5592,plain,
% 14.39/9.53 (v107(constB39) <=> (v108(constB39) | v119(constB39))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5591, 2405])).
% 14.39/9.53 tff(5593,plain,
% 14.39/9.53 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB39) <=> (v109(constB39) | v118(constB39)))),
% 14.39/9.53 inference(quant_inst,[status(thm)],[])).
% 14.39/9.53 tff(5594,plain,
% 14.39/9.53 (v108(constB39) <=> (v109(constB39) | v118(constB39))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5593, 2414])).
% 14.39/9.53 tff(5595,plain,
% 14.39/9.53 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB39) <=> (v110(constB39) | v117(constB39)))),
% 14.39/9.53 inference(quant_inst,[status(thm)],[])).
% 14.39/9.53 tff(5596,plain,
% 14.39/9.53 (v109(constB39) <=> (v110(constB39) | v117(constB39))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5595, 2423])).
% 14.39/9.53 tff(5597,plain,
% 14.39/9.53 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB39) <=> (v111(constB39) | v116(constB39)))),
% 14.39/9.53 inference(quant_inst,[status(thm)],[])).
% 14.39/9.53 tff(5598,plain,
% 14.39/9.53 (v110(constB39) <=> (v111(constB39) | v116(constB39))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5597, 2432])).
% 14.39/9.53 tff(5599,plain,
% 14.39/9.53 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB39) <=> (v112(constB39) | v115(constB39)))),
% 14.39/9.53 inference(quant_inst,[status(thm)],[])).
% 14.39/9.53 tff(5600,plain,
% 14.39/9.53 (v111(constB39) <=> (v112(constB39) | v115(constB39))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5599, 2441])).
% 14.39/9.53 tff(5601,plain,
% 14.39/9.53 ((v112(constB39) | v115(constB39)) | (~v115(constB39))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5602,plain,
% 14.39/9.53 (v112(constB39) | v115(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5601, 5536])).
% 14.39/9.53 tff(5603,plain,
% 14.39/9.53 ((~(v111(constB39) <=> (v112(constB39) | v115(constB39)))) | v111(constB39) | (~(v112(constB39) | v115(constB39)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5604,plain,
% 14.39/9.53 (v111(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5603, 5602, 5600])).
% 14.39/9.53 tff(5605,plain,
% 14.39/9.53 ((v111(constB39) | v116(constB39)) | (~v111(constB39))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5606,plain,
% 14.39/9.53 (v111(constB39) | v116(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5605, 5604])).
% 14.39/9.53 tff(5607,plain,
% 14.39/9.53 ((~(v110(constB39) <=> (v111(constB39) | v116(constB39)))) | v110(constB39) | (~(v111(constB39) | v116(constB39)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5608,plain,
% 14.39/9.53 (v110(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5607, 5606, 5598])).
% 14.39/9.53 tff(5609,plain,
% 14.39/9.53 ((v110(constB39) | v117(constB39)) | (~v110(constB39))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5610,plain,
% 14.39/9.53 (v110(constB39) | v117(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5609, 5608])).
% 14.39/9.53 tff(5611,plain,
% 14.39/9.53 ((~(v109(constB39) <=> (v110(constB39) | v117(constB39)))) | v109(constB39) | (~(v110(constB39) | v117(constB39)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5612,plain,
% 14.39/9.53 (v109(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5611, 5610, 5596])).
% 14.39/9.53 tff(5613,plain,
% 14.39/9.53 ((v109(constB39) | v118(constB39)) | (~v109(constB39))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5614,plain,
% 14.39/9.53 (v109(constB39) | v118(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5613, 5612])).
% 14.39/9.53 tff(5615,plain,
% 14.39/9.53 ((~(v108(constB39) <=> (v109(constB39) | v118(constB39)))) | v108(constB39) | (~(v109(constB39) | v118(constB39)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5616,plain,
% 14.39/9.53 (v108(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5615, 5614, 5594])).
% 14.39/9.53 tff(5617,plain,
% 14.39/9.53 ((v108(constB39) | v119(constB39)) | (~v108(constB39))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5618,plain,
% 14.39/9.53 (v108(constB39) | v119(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5617, 5616])).
% 14.39/9.53 tff(5619,plain,
% 14.39/9.53 ((~(v107(constB39) <=> (v108(constB39) | v119(constB39)))) | v107(constB39) | (~(v108(constB39) | v119(constB39)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5620,plain,
% 14.39/9.53 (v107(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5619, 5618, 5592])).
% 14.39/9.53 tff(5621,plain,
% 14.39/9.53 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB39)) <=> v105(constB39))),
% 14.39/9.53 inference(quant_inst,[status(thm)],[])).
% 14.39/9.53 tff(5622,plain,
% 14.39/9.53 ((~v120(constB39)) <=> v105(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5621, 2484])).
% 14.39/9.53 tff(5623,plain,
% 14.39/9.53 ((~((~v120(constB39)) <=> v105(constB39))) | v120(constB39) | v105(constB39)),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5624,plain,
% 14.39/9.53 ((~((~v120(constB39)) <=> v105(constB39))) | v120(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5623, 965])).
% 14.39/9.53 tff(5625,plain,
% 14.39/9.53 (v120(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5624, 5622])).
% 14.39/9.53 tff(5626,plain,
% 14.39/9.53 ((~((~v107(constB39)) | (~v120(constB39)))) | (~v107(constB39)) | (~v120(constB39))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5627,plain,
% 14.39/9.53 ((~((~v107(constB39)) | (~v120(constB39)))) | (~v107(constB39))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5626, 5625])).
% 14.39/9.53 tff(5628,plain,
% 14.39/9.53 (~((~v107(constB39)) | (~v120(constB39)))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5627, 5620])).
% 14.39/9.53 tff(5629,plain,
% 14.39/9.53 ((~(v106(constB39) <=> (~((~v107(constB39)) | (~v120(constB39)))))) | v106(constB39) | ((~v107(constB39)) | (~v120(constB39)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5630,plain,
% 14.39/9.53 (v106(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5629, 5628, 5590])).
% 14.39/9.53 tff(5631,plain,
% 14.39/9.53 ((v105(constB39) | v106(constB39)) | (~v106(constB39))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5632,plain,
% 14.39/9.53 (v105(constB39) | v106(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5631, 5630])).
% 14.39/9.53 tff(5633,plain,
% 14.39/9.53 ((~(v102(constB39) <=> (v105(constB39) | v106(constB39)))) | v102(constB39) | (~(v105(constB39) | v106(constB39)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5634,plain,
% 14.39/9.53 (v102(constB39)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5633, 5632, 5588])).
% 14.39/9.53 tff(5635,plain,
% 14.39/9.53 ((~(v104(constB40) <=> v102(constB39))) | v104(constB40) | (~v102(constB39))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5636,plain,
% 14.39/9.53 (v104(constB40)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5635, 5634, 5586])).
% 14.39/9.53 tff(5637,plain,
% 14.39/9.53 ((~((~v95(constB40)) | (~v104(constB40)))) | (~v95(constB40)) | (~v104(constB40))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5638,plain,
% 14.39/9.53 (~((~v95(constB40)) | (~v104(constB40)))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5637, 5636, 5582])).
% 14.39/9.53 tff(5639,plain,
% 14.39/9.53 ((~(v94(constB40) <=> (~((~v95(constB40)) | (~v104(constB40)))))) | v94(constB40) | ((~v95(constB40)) | (~v104(constB40)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5640,plain,
% 14.39/9.53 (v94(constB40)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5639, 5638, 5554])).
% 14.39/9.53 tff(5641,plain,
% 14.39/9.53 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB40)) | (~(((~v84(constB40, 2)) <=> v123(constB40, 2)) | ((~v84(constB40, 1)) <=> v123(constB40, 1)) | ((~v84(constB40, 0)) <=> v123(constB40, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB40)) | (~(((~v84(constB40, 2)) <=> v123(constB40, 2)) | ((~v84(constB40, 1)) <=> v123(constB40, 1)) | ((~v84(constB40, 0)) <=> v123(constB40, 0)))))),
% 14.39/9.53 inference(rewrite,[status(thm)],[])).
% 14.39/9.53 tff(5642,plain,
% 14.39/9.53 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB40)) | (~(((~v84(constB40, 2)) <=> v123(constB40, 2)) | ((~v84(constB40, 1)) <=> v123(constB40, 1)) | ((~v84(constB40, 0)) <=> v123(constB40, 0)))))),
% 14.39/9.53 inference(quant_inst,[status(thm)],[])).
% 14.39/9.53 tff(5643,plain,
% 14.39/9.53 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB40)) | (~(((~v84(constB40, 2)) <=> v123(constB40, 2)) | ((~v84(constB40, 1)) <=> v123(constB40, 1)) | ((~v84(constB40, 0)) <=> v123(constB40, 0))))),
% 14.39/9.53 inference(modus_ponens,[status(thm)],[5642, 5641])).
% 14.39/9.53 tff(5644,plain,
% 14.39/9.53 ((~v94(constB40)) | (~(((~v84(constB40, 2)) <=> v123(constB40, 2)) | ((~v84(constB40, 1)) <=> v123(constB40, 1)) | ((~v84(constB40, 0)) <=> v123(constB40, 0))))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5643, 2517])).
% 14.39/9.53 tff(5645,plain,
% 14.39/9.53 (~(((~v84(constB40, 2)) <=> v123(constB40, 2)) | ((~v84(constB40, 1)) <=> v123(constB40, 1)) | ((~v84(constB40, 0)) <=> v123(constB40, 0)))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5644, 5640])).
% 14.39/9.53 tff(5646,plain,
% 14.39/9.53 ((((~v84(constB40, 2)) <=> v123(constB40, 2)) | ((~v84(constB40, 1)) <=> v123(constB40, 1)) | ((~v84(constB40, 0)) <=> v123(constB40, 0))) | (~((~v84(constB40, 2)) <=> v123(constB40, 2)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5647,plain,
% 14.39/9.53 (~((~v84(constB40, 2)) <=> v123(constB40, 2))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5646, 5645])).
% 14.39/9.53 tff(5648,plain,
% 14.39/9.53 (((~v84(constB40, 2)) <=> v123(constB40, 2)) | (~v84(constB40, 2)) | v123(constB40, 2)),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5649,plain,
% 14.39/9.53 (~v84(constB40, 2)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5648, 5647, 5550])).
% 14.39/9.53 tff(5650,plain,
% 14.39/9.53 (((~v84(constB41, 2)) <=> v84(constB40, 2)) | (~v84(constB41, 2)) | v84(constB40, 2)),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5651,plain,
% 14.39/9.53 (~v84(constB41, 2)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5650, 5649, 949])).
% 14.39/9.53 tff(5652,plain,
% 14.39/9.53 ((((~v84(constB41, 1)) <=> v84(constB40, 1)) | ((~v84(constB41, 2)) <=> v84(constB40, 2)) | ((~v84(constB41, 0)) <=> v84(constB40, 0))) | (~((~v84(constB41, 0)) <=> v84(constB40, 0)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5653,plain,
% 14.39/9.53 (~((~v84(constB41, 0)) <=> v84(constB40, 0))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5652, 947])).
% 14.39/9.53 tff(5654,plain,
% 14.39/9.53 ((((~v123(constB40, 2)) <=> v121(constB39, 2)) | ((~v123(constB40, 1)) <=> v121(constB39, 1)) | ((~v123(constB40, 0)) <=> v121(constB39, 0))) | (~((~v123(constB40, 0)) <=> v121(constB39, 0)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5655,plain,
% 14.39/9.53 (~((~v123(constB40, 0)) <=> v121(constB39, 0))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5654, 956])).
% 14.39/9.53 tff(5656,plain,
% 14.39/9.53 ((((~v121(constB39, 2)) <=> v124(constB39, 2)) | ((~v121(constB39, 0)) <=> v124(constB39, 0)) | ((~v121(constB39, 1)) <=> v124(constB39, 1))) | (~((~v121(constB39, 0)) <=> v124(constB39, 0)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5657,plain,
% 14.39/9.53 (~((~v121(constB39, 0)) <=> v124(constB39, 0))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5656, 970])).
% 14.39/9.53 tff(5658,plain,
% 14.39/9.53 ((v124(constB39, 2) | (~v124(constB39, 0)) | (~v124(constB39, 1))) | v124(constB39, 0)),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5659,plain,
% 14.39/9.53 (v124(constB39, 0)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5658, 5544])).
% 14.39/9.53 tff(5660,plain,
% 14.39/9.53 (((~v121(constB39, 0)) <=> v124(constB39, 0)) | v121(constB39, 0) | (~v124(constB39, 0))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5661,plain,
% 14.39/9.53 (v121(constB39, 0)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5660, 5659, 5657])).
% 14.39/9.53 tff(5662,plain,
% 14.39/9.53 (((~v123(constB40, 0)) <=> v121(constB39, 0)) | v123(constB40, 0) | (~v121(constB39, 0))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5663,plain,
% 14.39/9.53 (v123(constB40, 0)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5662, 5661, 5655])).
% 14.39/9.53 tff(5664,plain,
% 14.39/9.53 ((((~v84(constB40, 2)) <=> v123(constB40, 2)) | ((~v84(constB40, 1)) <=> v123(constB40, 1)) | ((~v84(constB40, 0)) <=> v123(constB40, 0))) | (~((~v84(constB40, 0)) <=> v123(constB40, 0)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5665,plain,
% 14.39/9.53 (~((~v84(constB40, 0)) <=> v123(constB40, 0))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5664, 5645])).
% 14.39/9.53 tff(5666,plain,
% 14.39/9.53 (((~v84(constB40, 0)) <=> v123(constB40, 0)) | v84(constB40, 0) | (~v123(constB40, 0))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5667,plain,
% 14.39/9.53 (v84(constB40, 0)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5666, 5665, 5663])).
% 14.39/9.53 tff(5668,plain,
% 14.39/9.53 (((~v84(constB41, 0)) <=> v84(constB40, 0)) | v84(constB41, 0) | (~v84(constB40, 0))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5669,plain,
% 14.39/9.53 (v84(constB41, 0)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5668, 5667, 5653])).
% 14.39/9.53 tff(5670,plain,
% 14.39/9.53 ((((~v84(constB41, 1)) <=> v84(constB40, 1)) | ((~v84(constB41, 2)) <=> v84(constB40, 2)) | ((~v84(constB41, 0)) <=> v84(constB40, 0))) | (~((~v84(constB41, 1)) <=> v84(constB40, 1)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5671,plain,
% 14.39/9.53 (~((~v84(constB41, 1)) <=> v84(constB40, 1))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5670, 947])).
% 14.39/9.53 tff(5672,plain,
% 14.39/9.53 ((((~v123(constB40, 2)) <=> v121(constB39, 2)) | ((~v123(constB40, 1)) <=> v121(constB39, 1)) | ((~v123(constB40, 0)) <=> v121(constB39, 0))) | (~((~v123(constB40, 1)) <=> v121(constB39, 1)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5673,plain,
% 14.39/9.53 (~((~v123(constB40, 1)) <=> v121(constB39, 1))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5672, 956])).
% 14.39/9.53 tff(5674,plain,
% 14.39/9.53 ((((~v121(constB39, 2)) <=> v124(constB39, 2)) | ((~v121(constB39, 0)) <=> v124(constB39, 0)) | ((~v121(constB39, 1)) <=> v124(constB39, 1))) | (~((~v121(constB39, 1)) <=> v124(constB39, 1)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5675,plain,
% 14.39/9.53 (~((~v121(constB39, 1)) <=> v124(constB39, 1))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5674, 970])).
% 14.39/9.53 tff(5676,plain,
% 14.39/9.53 ((v124(constB39, 2) | (~v124(constB39, 0)) | (~v124(constB39, 1))) | v124(constB39, 1)),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5677,plain,
% 14.39/9.53 (v124(constB39, 1)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5676, 5544])).
% 14.39/9.53 tff(5678,plain,
% 14.39/9.53 (((~v121(constB39, 1)) <=> v124(constB39, 1)) | v121(constB39, 1) | (~v124(constB39, 1))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5679,plain,
% 14.39/9.53 (v121(constB39, 1)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5678, 5677, 5675])).
% 14.39/9.53 tff(5680,plain,
% 14.39/9.53 (((~v123(constB40, 1)) <=> v121(constB39, 1)) | v123(constB40, 1) | (~v121(constB39, 1))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5681,plain,
% 14.39/9.53 (v123(constB40, 1)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5680, 5679, 5673])).
% 14.39/9.53 tff(5682,plain,
% 14.39/9.53 ((((~v84(constB40, 2)) <=> v123(constB40, 2)) | ((~v84(constB40, 1)) <=> v123(constB40, 1)) | ((~v84(constB40, 0)) <=> v123(constB40, 0))) | (~((~v84(constB40, 1)) <=> v123(constB40, 1)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5683,plain,
% 14.39/9.53 (~((~v84(constB40, 1)) <=> v123(constB40, 1))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5682, 5645])).
% 14.39/9.53 tff(5684,plain,
% 14.39/9.53 (((~v84(constB40, 1)) <=> v123(constB40, 1)) | v84(constB40, 1) | (~v123(constB40, 1))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5685,plain,
% 14.39/9.53 (v84(constB40, 1)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5684, 5683, 5681])).
% 14.39/9.53 tff(5686,plain,
% 14.39/9.53 (((~v84(constB41, 1)) <=> v84(constB40, 1)) | v84(constB41, 1) | (~v84(constB40, 1))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5687,plain,
% 14.39/9.53 (v84(constB41, 1)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5686, 5685, 5671])).
% 14.39/9.53 tff(5688,plain,
% 14.39/9.53 ((~(v84(constB41, 2) | (~v84(constB41, 1)) | (~v84(constB41, 0)))) | v84(constB41, 2) | (~v84(constB41, 1)) | (~v84(constB41, 0))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5689,plain,
% 14.39/9.53 (~(v84(constB41, 2) | (~v84(constB41, 1)) | (~v84(constB41, 0)))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5688, 5687, 5669, 5651])).
% 14.39/9.53 tff(5690,plain,
% 14.39/9.53 ((~(v116(constB41) <=> (~(v84(constB41, 2) | (~v84(constB41, 1)) | (~v84(constB41, 0)))))) | v116(constB41) | (v84(constB41, 2) | (~v84(constB41, 1)) | (~v84(constB41, 0)))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5691,plain,
% 14.39/9.53 (v116(constB41)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5690, 5689, 913])).
% 14.39/9.53 tff(5692,plain,
% 14.39/9.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB41)) | (~(v124(constB41, 0) | v124(constB41, 1) | (~v124(constB41, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB41)) | (~(v124(constB41, 0) | v124(constB41, 1) | (~v124(constB41, 2)))))),
% 14.39/9.53 inference(rewrite,[status(thm)],[])).
% 14.39/9.53 tff(5693,plain,
% 14.39/9.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB41)) | (~(v124(constB41, 0) | v124(constB41, 1) | (~v124(constB41, 2)))))),
% 14.39/9.53 inference(quant_inst,[status(thm)],[])).
% 14.39/9.53 tff(5694,plain,
% 14.39/9.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB41)) | (~(v124(constB41, 0) | v124(constB41, 1) | (~v124(constB41, 2))))),
% 14.39/9.53 inference(modus_ponens,[status(thm)],[5693, 5692])).
% 14.39/9.53 tff(5695,plain,
% 14.39/9.53 ((~v116(constB41)) | (~(v124(constB41, 0) | v124(constB41, 1) | (~v124(constB41, 2))))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5694, 3309])).
% 14.39/9.53 tff(5696,plain,
% 14.39/9.53 (~(v124(constB41, 0) | v124(constB41, 1) | (~v124(constB41, 2)))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5695, 5691])).
% 14.39/9.53 tff(5697,plain,
% 14.39/9.53 ((v124(constB41, 0) | v124(constB41, 1) | (~v124(constB41, 2))) | (~v124(constB41, 0))),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5698,plain,
% 14.39/9.53 (~v124(constB41, 0)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5697, 5696])).
% 14.39/9.53 tff(5699,plain,
% 14.39/9.53 (((~v121(constB41, 0)) <=> v124(constB41, 0)) | (~v121(constB41, 0)) | v124(constB41, 0)),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5700,plain,
% 14.39/9.53 (~v121(constB41, 0)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5699, 5698, 898])).
% 14.39/9.53 tff(5701,plain,
% 14.39/9.53 (((~v123(constB42, 0)) <=> v121(constB41, 0)) | (~v123(constB42, 0)) | v121(constB41, 0)),
% 14.39/9.53 inference(tautology,[status(thm)],[])).
% 14.39/9.53 tff(5702,plain,
% 14.39/9.53 (~v123(constB42, 0)),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5701, 5700, 851])).
% 14.39/9.53 tff(5703,plain,
% 14.39/9.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB41, constB42)) | (v94(constB42) <=> (~((~v95(constB42)) | (~v104(constB42))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB41, constB42)) | (v94(constB42) <=> (~((~v95(constB42)) | (~v104(constB42))))))),
% 14.39/9.53 inference(rewrite,[status(thm)],[])).
% 14.39/9.53 tff(5704,plain,
% 14.39/9.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB41, constB42)) | (v94(constB42) <=> (~((~v95(constB42)) | (~v104(constB42))))))),
% 14.39/9.53 inference(quant_inst,[status(thm)],[])).
% 14.39/9.53 tff(5705,plain,
% 14.39/9.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB41, constB42)) | (v94(constB42) <=> (~((~v95(constB42)) | (~v104(constB42)))))),
% 14.39/9.53 inference(modus_ponens,[status(thm)],[5704, 5703])).
% 14.39/9.53 tff(5706,plain,
% 14.39/9.53 (v94(constB42) <=> (~((~v95(constB42)) | (~v104(constB42))))),
% 14.39/9.53 inference(unit_resolution,[status(thm)],[5705, 845, 770])).
% 14.39/9.53 tff(5707,plain,
% 14.39/9.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42))))))),
% 14.39/9.54 inference(rewrite,[status(thm)],[])).
% 14.39/9.54 tff(5708,plain,
% 14.39/9.54 (((~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v96(constB42)) | (~v1(constB42)))))) <=> ((~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42))))))),
% 14.39/9.54 inference(rewrite,[status(thm)],[])).
% 14.39/9.54 tff(5709,plain,
% 14.39/9.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v96(constB42)) | (~v1(constB42))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42)))))))),
% 14.39/9.54 inference(monotonicity,[status(thm)],[5708])).
% 14.39/9.54 tff(5710,plain,
% 14.39/9.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v96(constB42)) | (~v1(constB42))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42))))))),
% 14.39/9.54 inference(transitivity,[status(thm)],[5709, 5707])).
% 14.39/9.54 tff(5711,plain,
% 14.39/9.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v96(constB42)) | (~v1(constB42))))))),
% 14.39/9.54 inference(quant_inst,[status(thm)],[])).
% 14.39/9.54 tff(5712,plain,
% 14.39/9.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42)))))),
% 14.39/9.54 inference(modus_ponens,[status(thm)],[5711, 5710])).
% 14.39/9.54 tff(5713,plain,
% 14.39/9.54 (v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42))))),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5712, 845, 790])).
% 14.39/9.54 tff(5714,plain,
% 14.39/9.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB41, constB42)) | ((~v96(constB42)) <=> v98(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB41, constB42)) | ((~v96(constB42)) <=> v98(constB42)))),
% 14.39/9.54 inference(rewrite,[status(thm)],[])).
% 14.39/9.54 tff(5715,plain,
% 14.39/9.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB41, constB42)) | ((~v96(constB42)) <=> v98(constB42)))),
% 14.39/9.54 inference(quant_inst,[status(thm)],[])).
% 14.39/9.54 tff(5716,plain,
% 14.39/9.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB41, constB42)) | ((~v96(constB42)) <=> v98(constB42))),
% 14.39/9.54 inference(modus_ponens,[status(thm)],[5715, 5714])).
% 14.39/9.54 tff(5717,plain,
% 14.39/9.54 ((~v96(constB42)) <=> v98(constB42)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5716, 845, 2332])).
% 14.39/9.54 tff(5718,plain,
% 14.39/9.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB41, constB42)) | (v98(constB42) <=> v1(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB41, constB42)) | (v98(constB42) <=> v1(constB41)))),
% 14.39/9.54 inference(rewrite,[status(thm)],[])).
% 14.39/9.54 tff(5719,plain,
% 14.39/9.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB41, constB42)) | (v98(constB42) <=> v1(constB41)))),
% 14.39/9.54 inference(quant_inst,[status(thm)],[])).
% 14.39/9.54 tff(5720,plain,
% 14.39/9.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB41, constB42)) | (v98(constB42) <=> v1(constB41))),
% 14.39/9.54 inference(modus_ponens,[status(thm)],[5719, 5718])).
% 14.39/9.54 tff(5721,plain,
% 14.39/9.54 (v98(constB42) <=> v1(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5720, 845, 2346])).
% 14.39/9.54 tff(5722,plain,
% 14.39/9.54 ((~(v98(constB42) <=> v1(constB41))) | (~v98(constB42)) | v1(constB41)),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5723,plain,
% 14.39/9.54 ((~(v98(constB42) <=> v1(constB41))) | (~v98(constB42))),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5722, 930])).
% 14.39/9.54 tff(5724,plain,
% 14.39/9.54 (~v98(constB42)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5723, 5721])).
% 14.39/9.54 tff(5725,plain,
% 14.39/9.54 ((~((~v96(constB42)) <=> v98(constB42))) | v96(constB42) | v98(constB42)),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5726,plain,
% 14.39/9.54 (v96(constB42)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5725, 5724, 5717])).
% 14.39/9.54 tff(5727,plain,
% 14.39/9.54 (v1(constB42) <=> v1(constB42)),
% 14.39/9.54 inference(rewrite,[status(thm)],[])).
% 14.39/9.54 tff(5728,axiom,(v1(constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_42')).
% 14.39/9.54 tff(5729,plain,
% 14.39/9.54 (v1(constB42)),
% 14.39/9.54 inference(modus_ponens,[status(thm)],[5728, 5727])).
% 14.39/9.54 tff(5730,plain,
% 14.39/9.54 ((~((~v1(constB42)) | (~v96(constB42)))) | (~v1(constB42)) | (~v96(constB42))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5731,plain,
% 14.39/9.54 ((~((~v1(constB42)) | (~v96(constB42)))) | (~v96(constB42))),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5730, 5729])).
% 14.39/9.54 tff(5732,plain,
% 14.39/9.54 (~((~v1(constB42)) | (~v96(constB42)))),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5731, 5726])).
% 14.39/9.54 tff(5733,plain,
% 14.39/9.54 ((~(v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42)))))) | v95(constB42) | ((~v1(constB42)) | (~v96(constB42)))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5734,plain,
% 14.39/9.54 (v95(constB42)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5733, 5732, 5713])).
% 14.39/9.54 tff(5735,plain,
% 14.39/9.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB41, constB42)) | (v104(constB42) <=> v102(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB41, constB42)) | (v104(constB42) <=> v102(constB41)))),
% 14.39/9.54 inference(rewrite,[status(thm)],[])).
% 14.39/9.54 tff(5736,plain,
% 14.39/9.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB41, constB42)) | (v104(constB42) <=> v102(constB41)))),
% 14.39/9.54 inference(quant_inst,[status(thm)],[])).
% 14.39/9.54 tff(5737,plain,
% 14.39/9.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB41, constB42)) | (v104(constB42) <=> v102(constB41))),
% 14.39/9.54 inference(modus_ponens,[status(thm)],[5736, 5735])).
% 14.39/9.54 tff(5738,plain,
% 14.39/9.54 (v104(constB42) <=> v102(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5737, 845, 2373])).
% 14.39/9.54 tff(5739,plain,
% 14.39/9.54 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB41) <=> (v105(constB41) | v106(constB41)))),
% 14.39/9.54 inference(quant_inst,[status(thm)],[])).
% 14.39/9.54 tff(5740,plain,
% 14.39/9.54 (v102(constB41) <=> (v105(constB41) | v106(constB41))),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5739, 2384])).
% 14.39/9.54 tff(5741,plain,
% 14.39/9.54 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB41) <=> (~((~v107(constB41)) | (~v120(constB41)))))),
% 14.39/9.54 inference(quant_inst,[status(thm)],[])).
% 14.39/9.54 tff(5742,plain,
% 14.39/9.54 (v106(constB41) <=> (~((~v107(constB41)) | (~v120(constB41))))),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5741, 2396])).
% 14.39/9.54 tff(5743,plain,
% 14.39/9.54 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB41) <=> (v108(constB41) | v119(constB41)))),
% 14.39/9.54 inference(quant_inst,[status(thm)],[])).
% 14.39/9.54 tff(5744,plain,
% 14.39/9.54 (v107(constB41) <=> (v108(constB41) | v119(constB41))),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5743, 2405])).
% 14.39/9.54 tff(5745,plain,
% 14.39/9.54 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB41) <=> (v109(constB41) | v118(constB41)))),
% 14.39/9.54 inference(quant_inst,[status(thm)],[])).
% 14.39/9.54 tff(5746,plain,
% 14.39/9.54 (v108(constB41) <=> (v109(constB41) | v118(constB41))),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5745, 2414])).
% 14.39/9.54 tff(5747,plain,
% 14.39/9.54 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB41) <=> (v110(constB41) | v117(constB41)))),
% 14.39/9.54 inference(quant_inst,[status(thm)],[])).
% 14.39/9.54 tff(5748,plain,
% 14.39/9.54 (v109(constB41) <=> (v110(constB41) | v117(constB41))),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5747, 2423])).
% 14.39/9.54 tff(5749,plain,
% 14.39/9.54 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB41) <=> (v111(constB41) | v116(constB41)))),
% 14.39/9.54 inference(quant_inst,[status(thm)],[])).
% 14.39/9.54 tff(5750,plain,
% 14.39/9.54 (v110(constB41) <=> (v111(constB41) | v116(constB41))),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5749, 2432])).
% 14.39/9.54 tff(5751,plain,
% 14.39/9.54 ((v111(constB41) | v116(constB41)) | (~v116(constB41))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5752,plain,
% 14.39/9.54 (v111(constB41) | v116(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5751, 5691])).
% 14.39/9.54 tff(5753,plain,
% 14.39/9.54 ((~(v110(constB41) <=> (v111(constB41) | v116(constB41)))) | v110(constB41) | (~(v111(constB41) | v116(constB41)))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5754,plain,
% 14.39/9.54 (v110(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5753, 5752, 5750])).
% 14.39/9.54 tff(5755,plain,
% 14.39/9.54 ((v110(constB41) | v117(constB41)) | (~v110(constB41))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5756,plain,
% 14.39/9.54 (v110(constB41) | v117(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5755, 5754])).
% 14.39/9.54 tff(5757,plain,
% 14.39/9.54 ((~(v109(constB41) <=> (v110(constB41) | v117(constB41)))) | v109(constB41) | (~(v110(constB41) | v117(constB41)))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5758,plain,
% 14.39/9.54 (v109(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5757, 5756, 5748])).
% 14.39/9.54 tff(5759,plain,
% 14.39/9.54 ((v109(constB41) | v118(constB41)) | (~v109(constB41))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5760,plain,
% 14.39/9.54 (v109(constB41) | v118(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5759, 5758])).
% 14.39/9.54 tff(5761,plain,
% 14.39/9.54 ((~(v108(constB41) <=> (v109(constB41) | v118(constB41)))) | v108(constB41) | (~(v109(constB41) | v118(constB41)))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5762,plain,
% 14.39/9.54 (v108(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5761, 5760, 5746])).
% 14.39/9.54 tff(5763,plain,
% 14.39/9.54 ((v108(constB41) | v119(constB41)) | (~v108(constB41))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5764,plain,
% 14.39/9.54 (v108(constB41) | v119(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5763, 5762])).
% 14.39/9.54 tff(5765,plain,
% 14.39/9.54 ((~(v107(constB41) <=> (v108(constB41) | v119(constB41)))) | v107(constB41) | (~(v108(constB41) | v119(constB41)))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5766,plain,
% 14.39/9.54 (v107(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5765, 5764, 5744])).
% 14.39/9.54 tff(5767,plain,
% 14.39/9.54 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB41)) <=> v105(constB41))),
% 14.39/9.54 inference(quant_inst,[status(thm)],[])).
% 14.39/9.54 tff(5768,plain,
% 14.39/9.54 ((~v120(constB41)) <=> v105(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5767, 2484])).
% 14.39/9.54 tff(5769,plain,
% 14.39/9.54 ((~((~v120(constB41)) <=> v105(constB41))) | v120(constB41) | v105(constB41)),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5770,plain,
% 14.39/9.54 ((~((~v120(constB41)) <=> v105(constB41))) | v120(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5769, 878])).
% 14.39/9.54 tff(5771,plain,
% 14.39/9.54 (v120(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5770, 5768])).
% 14.39/9.54 tff(5772,plain,
% 14.39/9.54 ((~((~v107(constB41)) | (~v120(constB41)))) | (~v107(constB41)) | (~v120(constB41))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5773,plain,
% 14.39/9.54 ((~((~v107(constB41)) | (~v120(constB41)))) | (~v107(constB41))),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5772, 5771])).
% 14.39/9.54 tff(5774,plain,
% 14.39/9.54 (~((~v107(constB41)) | (~v120(constB41)))),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5773, 5766])).
% 14.39/9.54 tff(5775,plain,
% 14.39/9.54 ((~(v106(constB41) <=> (~((~v107(constB41)) | (~v120(constB41)))))) | v106(constB41) | ((~v107(constB41)) | (~v120(constB41)))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5776,plain,
% 14.39/9.54 (v106(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5775, 5774, 5742])).
% 14.39/9.54 tff(5777,plain,
% 14.39/9.54 ((v105(constB41) | v106(constB41)) | (~v106(constB41))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5778,plain,
% 14.39/9.54 (v105(constB41) | v106(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5777, 5776])).
% 14.39/9.54 tff(5779,plain,
% 14.39/9.54 ((~(v102(constB41) <=> (v105(constB41) | v106(constB41)))) | v102(constB41) | (~(v105(constB41) | v106(constB41)))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5780,plain,
% 14.39/9.54 (v102(constB41)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5779, 5778, 5740])).
% 14.39/9.54 tff(5781,plain,
% 14.39/9.54 ((~(v104(constB42) <=> v102(constB41))) | v104(constB42) | (~v102(constB41))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5782,plain,
% 14.39/9.54 (v104(constB42)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5781, 5780, 5738])).
% 14.39/9.54 tff(5783,plain,
% 14.39/9.54 ((~((~v95(constB42)) | (~v104(constB42)))) | (~v95(constB42)) | (~v104(constB42))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5784,plain,
% 14.39/9.54 (~((~v95(constB42)) | (~v104(constB42)))),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5783, 5782, 5734])).
% 14.39/9.54 tff(5785,plain,
% 14.39/9.54 ((~(v94(constB42) <=> (~((~v95(constB42)) | (~v104(constB42)))))) | v94(constB42) | ((~v95(constB42)) | (~v104(constB42)))),
% 14.39/9.54 inference(tautology,[status(thm)],[])).
% 14.39/9.54 tff(5786,plain,
% 14.39/9.54 (v94(constB42)),
% 14.39/9.54 inference(unit_resolution,[status(thm)],[5785, 5784, 5706])).
% 14.39/9.54 tff(5787,plain,
% 14.39/9.54 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB42)) | (~(((~v84(constB42, 0)) <=> v123(constB42, 0)) | ((~v84(constB42, 2)) <=> v123(constB42, 2)) | ((~v84(constB42, 1)) <=> v123(constB42, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB42)) | (~(((~v84(constB42, 0)) <=> v123(constB42, 0)) | ((~v84(constB42, 2)) <=> v123(constB42, 2)) | ((~v84(constB42, 1)) <=> v123(constB42, 1)))))),
% 14.39/9.54 inference(rewrite,[status(thm)],[])).
% 14.39/9.54 tff(5788,plain,
% 14.39/9.54 (((~v94(constB42)) | (~(((~v84(constB42, 2)) <=> v123(constB42, 2)) | ((~v84(constB42, 1)) <=> v123(constB42, 1)) | ((~v84(constB42, 0)) <=> v123(constB42, 0))))) <=> ((~v94(constB42)) | (~(((~v84(constB42, 0)) <=> v123(constB42, 0)) | ((~v84(constB42, 2)) <=> v123(constB42, 2)) | ((~v84(constB42, 1)) <=> v123(constB42, 1)))))),
% 14.39/9.54 inference(rewrite,[status(thm)],[])).
% 14.39/9.54 tff(5789,plain,
% 14.39/9.54 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB42)) | (~(((~v84(constB42, 2)) <=> v123(constB42, 2)) | ((~v84(constB42, 1)) <=> v123(constB42, 1)) | ((~v84(constB42, 0)) <=> v123(constB42, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB42)) | (~(((~v84(constB42, 0)) <=> v123(constB42, 0)) | ((~v84(constB42, 2)) <=> v123(constB42, 2)) | ((~v84(constB42, 1)) <=> v123(constB42, 1))))))),
% 14.39/9.54 inference(monotonicity,[status(thm)],[5788])).
% 14.39/9.54 tff(5790,plain,
% 14.39/9.54 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB42)) | (~(((~v84(constB42, 2)) <=> v123(constB42, 2)) | ((~v84(constB42, 1)) <=> v123(constB42, 1)) | ((~v84(constB42, 0)) <=> v123(constB42, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB42)) | (~(((~v84(constB42, 0)) <=> v123(constB42, 0)) | ((~v84(constB42, 2)) <=> v123(constB42, 2)) | ((~v84(constB42, 1)) <=> v123(constB42, 1)))))),
% 14.39/9.55 inference(transitivity,[status(thm)],[5789, 5787])).
% 14.39/9.55 tff(5791,plain,
% 14.39/9.55 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB42)) | (~(((~v84(constB42, 2)) <=> v123(constB42, 2)) | ((~v84(constB42, 1)) <=> v123(constB42, 1)) | ((~v84(constB42, 0)) <=> v123(constB42, 0)))))),
% 14.39/9.55 inference(quant_inst,[status(thm)],[])).
% 14.39/9.55 tff(5792,plain,
% 14.39/9.55 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB42)) | (~(((~v84(constB42, 0)) <=> v123(constB42, 0)) | ((~v84(constB42, 2)) <=> v123(constB42, 2)) | ((~v84(constB42, 1)) <=> v123(constB42, 1))))),
% 14.39/9.55 inference(modus_ponens,[status(thm)],[5791, 5790])).
% 14.39/9.55 tff(5793,plain,
% 14.39/9.55 ((~v94(constB42)) | (~(((~v84(constB42, 0)) <=> v123(constB42, 0)) | ((~v84(constB42, 2)) <=> v123(constB42, 2)) | ((~v84(constB42, 1)) <=> v123(constB42, 1))))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5792, 2517])).
% 14.39/9.55 tff(5794,plain,
% 14.39/9.55 (~(((~v84(constB42, 0)) <=> v123(constB42, 0)) | ((~v84(constB42, 2)) <=> v123(constB42, 2)) | ((~v84(constB42, 1)) <=> v123(constB42, 1)))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5793, 5786])).
% 14.39/9.55 tff(5795,plain,
% 14.39/9.55 ((((~v84(constB42, 0)) <=> v123(constB42, 0)) | ((~v84(constB42, 2)) <=> v123(constB42, 2)) | ((~v84(constB42, 1)) <=> v123(constB42, 1))) | (~((~v84(constB42, 0)) <=> v123(constB42, 0)))),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5796,plain,
% 14.39/9.55 (~((~v84(constB42, 0)) <=> v123(constB42, 0))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5795, 5794])).
% 14.39/9.55 tff(5797,plain,
% 14.39/9.55 (((~v84(constB42, 0)) <=> v123(constB42, 0)) | (~v84(constB42, 0)) | v123(constB42, 0)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5798,plain,
% 14.39/9.55 (~v84(constB42, 0)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5797, 5796, 5702])).
% 14.39/9.55 tff(5799,plain,
% 14.39/9.55 (((~v84(constB43, 0)) <=> v84(constB42, 0)) | (~v84(constB43, 0)) | v84(constB42, 0)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5800,plain,
% 14.39/9.55 (~v84(constB43, 0)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5799, 5798, 829])).
% 14.39/9.55 tff(5801,plain,
% 14.39/9.55 ((v84(constB43, 1) | v84(constB43, 2) | (~v84(constB43, 0))) | v84(constB43, 0)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5802,plain,
% 14.39/9.55 (v84(constB43, 1) | v84(constB43, 2) | (~v84(constB43, 0))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5801, 5800])).
% 14.39/9.55 tff(5803,plain,
% 14.39/9.55 ((~(v145(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 2) | (~v84(constB43, 0)))))) | (~v145(constB43)) | (~(v84(constB43, 1) | v84(constB43, 2) | (~v84(constB43, 0))))),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5804,plain,
% 14.39/9.55 (~v145(constB43)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5803, 5802, 757])).
% 14.39/9.55 tff(5805,plain,
% 14.39/9.55 (((~v141(constB43)) | (~v145(constB43))) | v145(constB43)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5806,plain,
% 14.39/9.55 ((~v141(constB43)) | (~v145(constB43))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5805, 5804])).
% 14.39/9.55 tff(5807,plain,
% 14.39/9.55 ((~(v144(constB43) <=> (~((~v141(constB43)) | (~v145(constB43)))))) | (~v144(constB43)) | (~((~v141(constB43)) | (~v145(constB43))))),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5808,plain,
% 14.39/9.55 (~v144(constB43)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5807, 5806, 742])).
% 14.39/9.55 tff(5809,plain,
% 14.39/9.55 (((~v143(constB43)) | (~v144(constB43))) | v144(constB43)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5810,plain,
% 14.39/9.55 ((~v143(constB43)) | (~v144(constB43))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5809, 5808])).
% 14.39/9.55 tff(5811,plain,
% 14.39/9.55 ((~(v142(constB43) <=> (~((~v143(constB43)) | (~v144(constB43)))))) | (~v142(constB43)) | (~((~v143(constB43)) | (~v144(constB43))))),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5812,plain,
% 14.39/9.55 (~v142(constB43)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5811, 5810, 740])).
% 14.39/9.55 tff(5813,plain,
% 14.39/9.55 ((~(v138(constB43) | v142(constB43))) | v138(constB43) | v142(constB43)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5814,plain,
% 14.39/9.55 (~(v138(constB43) | v142(constB43))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5813, 5812, 738])).
% 14.39/9.55 tff(5815,plain,
% 14.39/9.55 ((~(v135(constB43) <=> (v138(constB43) | v142(constB43)))) | (~v135(constB43)) | (v138(constB43) | v142(constB43))),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5816,plain,
% 14.39/9.55 (~v135(constB43)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5815, 5814, 662])).
% 14.39/9.55 tff(5817,plain,
% 14.39/9.55 ((~(v137(constB44) <=> v135(constB43))) | (~v137(constB44)) | v135(constB43)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5818,plain,
% 14.39/9.55 (~v137(constB44)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5817, 5816, 660])).
% 14.39/9.55 tff(5819,plain,
% 14.39/9.55 ((~(v132(constB44) <=> v137(constB44))) | (~v132(constB44)) | v137(constB44)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5820,plain,
% 14.39/9.55 (~v132(constB44)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5819, 5818, 653])).
% 14.39/9.55 tff(5821,plain,
% 14.39/9.55 (((~v132(constB44)) | (~v139(constB44))) | v132(constB44)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5822,plain,
% 14.39/9.55 ((~v132(constB44)) | (~v139(constB44))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5821, 5820])).
% 14.39/9.55 tff(5823,plain,
% 14.39/9.55 ((~(v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44)))))) | (~v138(constB44)) | (~((~v132(constB44)) | (~v139(constB44))))),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5824,plain,
% 14.39/9.55 (~v138(constB44)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5823, 5822, 651])).
% 14.39/9.55 tff(5825,plain,
% 14.39/9.55 ((~(v138(constB44) | v142(constB44))) | v138(constB44) | v142(constB44)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5826,plain,
% 14.39/9.55 (~(v138(constB44) | v142(constB44))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5825, 5824, 634])).
% 14.39/9.55 tff(5827,plain,
% 14.39/9.55 ((~(v135(constB44) <=> (v138(constB44) | v142(constB44)))) | (~v135(constB44)) | (v138(constB44) | v142(constB44))),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5828,plain,
% 14.39/9.55 (~v135(constB44)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5827, 5826, 586])).
% 14.39/9.55 tff(5829,plain,
% 14.39/9.55 ((~(v137(constB45) <=> v135(constB44))) | (~v137(constB45)) | v135(constB44)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5830,plain,
% 14.39/9.55 (~v137(constB45)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5829, 5828, 577])).
% 14.39/9.55 tff(5831,plain,
% 14.39/9.55 ((~(v132(constB45) <=> v137(constB45))) | (~v132(constB45)) | v137(constB45)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5832,plain,
% 14.39/9.55 (~v132(constB45)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5831, 5830, 560])).
% 14.39/9.55 tff(5833,plain,
% 14.39/9.55 (((~v132(constB45)) | (~v155(constB45))) | v132(constB45)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5834,plain,
% 14.39/9.55 ((~v132(constB45)) | (~v155(constB45))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5833, 5832])).
% 14.39/9.55 tff(5835,plain,
% 14.39/9.55 ((~(v154(constB45) <=> (~((~v132(constB45)) | (~v155(constB45)))))) | (~v154(constB45)) | (~((~v132(constB45)) | (~v155(constB45))))),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5836,plain,
% 14.39/9.55 (~v154(constB45)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5835, 5834, 548])).
% 14.39/9.55 tff(5837,plain,
% 14.39/9.55 ((~(v153(constB45) | v154(constB45))) | v153(constB45) | v154(constB45)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5838,plain,
% 14.39/9.55 (~(v153(constB45) | v154(constB45))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5837, 5836, 541])).
% 14.39/9.55 tff(5839,plain,
% 14.39/9.55 ((~(v150(constB45) <=> (v153(constB45) | v154(constB45)))) | (~v150(constB45)) | (v153(constB45) | v154(constB45))),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5840,plain,
% 14.39/9.55 (~v150(constB45)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5839, 5838, 465])).
% 14.39/9.55 tff(5841,plain,
% 14.39/9.55 ((~(v152(constB46) <=> v150(constB45))) | (~v152(constB46)) | v150(constB45)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5842,plain,
% 14.39/9.55 (~v152(constB46)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5841, 5840, 463])).
% 14.39/9.55 tff(5843,plain,
% 14.39/9.55 ((~(v130(constB46) <=> v152(constB46))) | (~v130(constB46)) | v152(constB46)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5844,plain,
% 14.39/9.55 (~v130(constB46)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5843, 5842, 456])).
% 14.39/9.55 tff(5845,plain,
% 14.39/9.55 (((~v130(constB46)) | (~v139(constB46))) | v130(constB46)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5846,plain,
% 14.39/9.55 ((~v130(constB46)) | (~v139(constB46))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5845, 5844])).
% 14.39/9.55 tff(5847,plain,
% 14.39/9.55 ((~(v153(constB46) <=> (~((~v130(constB46)) | (~v139(constB46)))))) | (~v153(constB46)) | (~((~v130(constB46)) | (~v139(constB46))))),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5848,plain,
% 14.39/9.55 (~v153(constB46)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5847, 5846, 454])).
% 14.39/9.55 tff(5849,plain,
% 14.39/9.55 ((~(v153(constB46) | v154(constB46))) | v153(constB46) | v154(constB46)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5850,plain,
% 14.39/9.55 (~(v153(constB46) | v154(constB46))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5849, 5848, 437])).
% 14.39/9.55 tff(5851,plain,
% 14.39/9.55 ((~(v150(constB46) <=> (v153(constB46) | v154(constB46)))) | (~v150(constB46)) | (v153(constB46) | v154(constB46))),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5852,plain,
% 14.39/9.55 (~v150(constB46)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5851, 5850, 389])).
% 14.39/9.55 tff(5853,plain,
% 14.39/9.55 ((~(v152(constB47) <=> v150(constB46))) | (~v152(constB47)) | v150(constB46)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5854,plain,
% 14.39/9.55 (~v152(constB47)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5853, 5852, 380])).
% 14.39/9.55 tff(5855,plain,
% 14.39/9.55 ((~(v130(constB47) <=> v152(constB47))) | (~v130(constB47)) | v152(constB47)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5856,plain,
% 14.39/9.55 (~v130(constB47)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5855, 5854, 363])).
% 14.39/9.55 tff(5857,plain,
% 14.39/9.55 (((~v130(constB47)) | (~v155(constB47))) | v130(constB47)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5858,plain,
% 14.39/9.55 ((~v130(constB47)) | (~v155(constB47))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5857, 5856])).
% 14.39/9.55 tff(5859,plain,
% 14.39/9.55 ((~(v164(constB47) <=> (~((~v130(constB47)) | (~v155(constB47)))))) | (~v164(constB47)) | (~((~v130(constB47)) | (~v155(constB47))))),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5860,plain,
% 14.39/9.55 (~v164(constB47)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5859, 5858, 351])).
% 14.39/9.55 tff(5861,plain,
% 14.39/9.55 ((~(v163(constB47) | v164(constB47))) | v163(constB47) | v164(constB47)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5862,plain,
% 14.39/9.55 (~(v163(constB47) | v164(constB47))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5861, 5860, 344])).
% 14.39/9.55 tff(5863,plain,
% 14.39/9.55 ((~(v160(constB47) <=> (v163(constB47) | v164(constB47)))) | (~v160(constB47)) | (v163(constB47) | v164(constB47))),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5864,plain,
% 14.39/9.55 (~v160(constB47)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5863, 5862, 189])).
% 14.39/9.55 tff(5865,plain,
% 14.39/9.55 ((~(v162(constB48) <=> v160(constB47))) | (~v162(constB48)) | v160(constB47)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5866,plain,
% 14.39/9.55 (~v162(constB48)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5865, 5864, 187])).
% 14.39/9.55 tff(5867,plain,
% 14.39/9.55 ((~(v128(constB48) <=> v162(constB48))) | (~v128(constB48)) | v162(constB48)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5868,plain,
% 14.39/9.55 (~v128(constB48)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5867, 5866, 180])).
% 14.39/9.55 tff(5869,plain,
% 14.39/9.55 (((~v128(constB48)) | (~v139(constB48))) | v128(constB48)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5870,plain,
% 14.39/9.55 ((~v128(constB48)) | (~v139(constB48))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5869, 5868])).
% 14.39/9.55 tff(5871,plain,
% 14.39/9.55 ((~(v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48)))))) | (~v163(constB48)) | (~((~v128(constB48)) | (~v139(constB48))))),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5872,plain,
% 14.39/9.55 (~v163(constB48)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5871, 5870, 178])).
% 14.39/9.55 tff(5873,plain,
% 14.39/9.55 ((~(v163(constB48) | v164(constB48))) | v163(constB48) | v164(constB48)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5874,plain,
% 14.39/9.55 (~(v163(constB48) | v164(constB48))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5873, 5872, 161])).
% 14.39/9.55 tff(5875,plain,
% 14.39/9.55 ((~(v160(constB48) <=> (v163(constB48) | v164(constB48)))) | (~v160(constB48)) | (v163(constB48) | v164(constB48))),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5876,plain,
% 14.39/9.55 (~v160(constB48)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5875, 5874, 86])).
% 14.39/9.55 tff(5877,plain,
% 14.39/9.55 ((~(v162(constB49) <=> v160(constB48))) | (~v162(constB49)) | v160(constB48)),
% 14.39/9.55 inference(tautology,[status(thm)],[])).
% 14.39/9.55 tff(5878,plain,
% 14.39/9.55 (~v162(constB49)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5877, 5876, 77])).
% 14.39/9.55 tff(5879,plain,
% 14.39/9.55 ($false),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5878, 60])).
% 14.39/9.55 tff(5880,plain,(~(constB49 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 14.39/9.55 tff(5881,assumption,(constB107 = VarCurr!0), introduced(assumption)).
% 14.39/9.55 tff(5882,plain,
% 14.39/9.55 (v162(constB107) <=> v162(VarCurr!0)),
% 14.39/9.55 inference(monotonicity,[status(thm)],[5881])).
% 14.39/9.55 tff(5883,plain,
% 14.39/9.55 (v162(VarCurr!0) <=> v162(constB107)),
% 14.39/9.55 inference(symmetry,[status(thm)],[5882])).
% 14.39/9.55 tff(5884,plain,
% 14.39/9.55 (v162(constB107)),
% 14.39/9.55 inference(modus_ponens,[status(thm)],[59, 5883])).
% 14.39/9.55 tff(5885,plain,
% 14.39/9.55 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 14.39/9.55 inference(rewrite,[status(thm)],[])).
% 14.39/9.55 tff(5886,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_106')).
% 14.39/9.55 tff(5887,plain,
% 14.39/9.55 (nextState(constB106, constB107)),
% 14.39/9.55 inference(modus_ponens,[status(thm)],[5886, 5885])).
% 14.39/9.55 tff(5888,plain,
% 14.39/9.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB106, constB107)) | (v162(constB107) <=> v160(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB106, constB107)) | (v162(constB107) <=> v160(constB106)))),
% 14.39/9.55 inference(rewrite,[status(thm)],[])).
% 14.39/9.55 tff(5889,plain,
% 14.39/9.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB106, constB107)) | (v162(constB107) <=> v160(constB106)))),
% 14.39/9.55 inference(quant_inst,[status(thm)],[])).
% 14.39/9.55 tff(5890,plain,
% 14.39/9.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB106, constB107)) | (v162(constB107) <=> v160(constB106))),
% 14.39/9.55 inference(modus_ponens,[status(thm)],[5889, 5888])).
% 14.39/9.55 tff(5891,plain,
% 14.39/9.55 (v162(constB107) <=> v160(constB106)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5890, 5887, 70])).
% 14.39/9.55 tff(5892,plain,
% 14.39/9.55 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB106) <=> (v163(constB106) | v164(constB106)))),
% 14.39/9.55 inference(quant_inst,[status(thm)],[])).
% 14.39/9.55 tff(5893,plain,
% 14.39/9.55 (v160(constB106) <=> (v163(constB106) | v164(constB106))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5892, 84])).
% 14.39/9.55 tff(5894,plain,
% 14.39/9.55 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB106) <=> (~((~v130(constB106)) | (~v155(constB106)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB106) <=> (~((~v130(constB106)) | (~v155(constB106))))))),
% 14.39/9.55 inference(rewrite,[status(thm)],[])).
% 14.39/9.55 tff(5895,plain,
% 14.39/9.55 ((v164(constB106) <=> (~((~v155(constB106)) | (~v130(constB106))))) <=> (v164(constB106) <=> (~((~v130(constB106)) | (~v155(constB106)))))),
% 14.39/9.55 inference(rewrite,[status(thm)],[])).
% 14.39/9.55 tff(5896,plain,
% 14.39/9.55 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB106) <=> (~((~v155(constB106)) | (~v130(constB106)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB106) <=> (~((~v130(constB106)) | (~v155(constB106))))))),
% 14.39/9.55 inference(monotonicity,[status(thm)],[5895])).
% 14.39/9.55 tff(5897,plain,
% 14.39/9.55 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB106) <=> (~((~v155(constB106)) | (~v130(constB106)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB106) <=> (~((~v130(constB106)) | (~v155(constB106))))))),
% 14.39/9.55 inference(transitivity,[status(thm)],[5896, 5894])).
% 14.39/9.55 tff(5898,plain,
% 14.39/9.55 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB106) <=> (~((~v155(constB106)) | (~v130(constB106)))))),
% 14.39/9.55 inference(quant_inst,[status(thm)],[])).
% 14.39/9.55 tff(5899,plain,
% 14.39/9.55 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB106) <=> (~((~v130(constB106)) | (~v155(constB106)))))),
% 14.39/9.55 inference(modus_ponens,[status(thm)],[5898, 5897])).
% 14.39/9.55 tff(5900,plain,
% 14.39/9.55 (v164(constB106) <=> (~((~v130(constB106)) | (~v155(constB106))))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5899, 96])).
% 14.39/9.55 tff(5901,plain,
% 14.39/9.55 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB106) <=> (~((~v141(constB106)) | (~v143(constB106)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB106) <=> (~((~v141(constB106)) | (~v143(constB106))))))),
% 14.39/9.55 inference(rewrite,[status(thm)],[])).
% 14.39/9.55 tff(5902,plain,
% 14.39/9.55 ((v155(constB106) <=> (~((~v143(constB106)) | (~v141(constB106))))) <=> (v155(constB106) <=> (~((~v141(constB106)) | (~v143(constB106)))))),
% 14.39/9.55 inference(rewrite,[status(thm)],[])).
% 14.39/9.55 tff(5903,plain,
% 14.39/9.55 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB106) <=> (~((~v143(constB106)) | (~v141(constB106)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB106) <=> (~((~v141(constB106)) | (~v143(constB106))))))),
% 14.39/9.55 inference(monotonicity,[status(thm)],[5902])).
% 14.39/9.55 tff(5904,plain,
% 14.39/9.55 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB106) <=> (~((~v143(constB106)) | (~v141(constB106)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB106) <=> (~((~v141(constB106)) | (~v143(constB106))))))),
% 14.39/9.55 inference(transitivity,[status(thm)],[5903, 5901])).
% 14.39/9.55 tff(5905,plain,
% 14.39/9.55 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB106) <=> (~((~v143(constB106)) | (~v141(constB106)))))),
% 14.39/9.55 inference(quant_inst,[status(thm)],[])).
% 14.39/9.55 tff(5906,plain,
% 14.39/9.55 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB106) <=> (~((~v141(constB106)) | (~v143(constB106)))))),
% 14.39/9.55 inference(modus_ponens,[status(thm)],[5905, 5904])).
% 14.39/9.55 tff(5907,plain,
% 14.39/9.55 (v155(constB106) <=> (~((~v141(constB106)) | (~v143(constB106))))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5906, 113])).
% 14.39/9.55 tff(5908,plain,
% 14.39/9.55 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))),
% 14.39/9.55 inference(quant_inst,[status(thm)],[])).
% 14.39/9.55 tff(5909,plain,
% 14.39/9.55 (v141(constB106) <=> (~((~v39(constB106)) | (~v9(constB106))))),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5908, 130])).
% 14.39/9.55 tff(5910,plain,
% 14.39/9.55 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB106)) <=> v1(constB106))),
% 14.39/9.55 inference(quant_inst,[status(thm)],[])).
% 14.39/9.55 tff(5911,plain,
% 14.39/9.55 ((~v39(constB106)) <=> v1(constB106)),
% 14.39/9.55 inference(unit_resolution,[status(thm)],[5910, 139])).
% 14.39/9.55 tff(5912,plain,
% 14.39/9.55 (v1(constB106) <=> v1(constB106)),
% 14.39/9.55 inference(rewrite,[status(thm)],[])).
% 14.39/9.55 tff(5913,axiom,(v1(constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_106')).
% 14.39/9.55 tff(5914,plain,
% 14.39/9.55 (v1(constB106)),
% 14.39/9.56 inference(modus_ponens,[status(thm)],[5913, 5912])).
% 14.39/9.56 tff(5915,plain,
% 14.39/9.56 ((~((~v39(constB106)) <=> v1(constB106))) | (~v39(constB106)) | (~v1(constB106))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(5916,plain,
% 14.39/9.56 ((~((~v39(constB106)) <=> v1(constB106))) | (~v39(constB106))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5915, 5914])).
% 14.39/9.56 tff(5917,plain,
% 14.39/9.56 (~v39(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5916, 5911])).
% 14.39/9.56 tff(5918,plain,
% 14.39/9.56 (((~v39(constB106)) | (~v9(constB106))) | v39(constB106)),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(5919,plain,
% 14.39/9.56 ((~v39(constB106)) | (~v9(constB106))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5918, 5917])).
% 14.39/9.56 tff(5920,plain,
% 14.39/9.56 ((~(v141(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))) | (~v141(constB106)) | (~((~v39(constB106)) | (~v9(constB106))))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(5921,plain,
% 14.39/9.56 ((~(v141(constB106) <=> (~((~v39(constB106)) | (~v9(constB106)))))) | (~v141(constB106))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5920, 5919])).
% 14.39/9.56 tff(5922,plain,
% 14.39/9.56 (~v141(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5921, 5909])).
% 14.39/9.56 tff(5923,plain,
% 14.39/9.56 (((~v141(constB106)) | (~v143(constB106))) | v141(constB106)),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(5924,plain,
% 14.39/9.56 ((~v141(constB106)) | (~v143(constB106))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5923, 5922])).
% 14.39/9.56 tff(5925,plain,
% 14.39/9.56 ((~(v155(constB106) <=> (~((~v141(constB106)) | (~v143(constB106)))))) | (~v155(constB106)) | (~((~v141(constB106)) | (~v143(constB106))))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(5926,plain,
% 14.39/9.56 ((~(v155(constB106) <=> (~((~v141(constB106)) | (~v143(constB106)))))) | (~v155(constB106))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5925, 5924])).
% 14.39/9.56 tff(5927,plain,
% 14.39/9.56 (~v155(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5926, 5907])).
% 14.39/9.56 tff(5928,plain,
% 14.39/9.56 (((~v130(constB106)) | (~v155(constB106))) | v155(constB106)),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(5929,plain,
% 14.39/9.56 ((~v130(constB106)) | (~v155(constB106))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5928, 5927])).
% 14.39/9.56 tff(5930,plain,
% 14.39/9.56 ((~(v164(constB106) <=> (~((~v130(constB106)) | (~v155(constB106)))))) | (~v164(constB106)) | (~((~v130(constB106)) | (~v155(constB106))))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(5931,plain,
% 14.39/9.56 (~v164(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5930, 5929, 5900])).
% 14.39/9.56 tff(5932,plain,
% 14.39/9.56 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB106) <=> (~((~v128(constB106)) | (~v139(constB106)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB106) <=> (~((~v128(constB106)) | (~v139(constB106))))))),
% 14.39/9.56 inference(rewrite,[status(thm)],[])).
% 14.39/9.56 tff(5933,plain,
% 14.39/9.56 ((v163(constB106) <=> (~((~v139(constB106)) | (~v128(constB106))))) <=> (v163(constB106) <=> (~((~v128(constB106)) | (~v139(constB106)))))),
% 14.39/9.56 inference(rewrite,[status(thm)],[])).
% 14.39/9.56 tff(5934,plain,
% 14.39/9.56 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB106) <=> (~((~v139(constB106)) | (~v128(constB106)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB106) <=> (~((~v128(constB106)) | (~v139(constB106))))))),
% 14.39/9.56 inference(monotonicity,[status(thm)],[5933])).
% 14.39/9.56 tff(5935,plain,
% 14.39/9.56 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB106) <=> (~((~v139(constB106)) | (~v128(constB106)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB106) <=> (~((~v128(constB106)) | (~v139(constB106))))))),
% 14.39/9.56 inference(transitivity,[status(thm)],[5934, 5932])).
% 14.39/9.56 tff(5936,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB106) <=> (~((~v139(constB106)) | (~v128(constB106)))))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5937,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB106) <=> (~((~v128(constB106)) | (~v139(constB106)))))),
% 14.39/9.56 inference(modus_ponens,[status(thm)],[5936, 5935])).
% 14.39/9.56 tff(5938,plain,
% 14.39/9.56 (v163(constB106) <=> (~((~v128(constB106)) | (~v139(constB106))))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5937, 171])).
% 14.39/9.56 tff(5939,plain,
% 14.39/9.56 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB106) <=> v162(constB106))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5940,plain,
% 14.39/9.56 (v128(constB106) <=> v162(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5939, 13])).
% 14.39/9.56 tff(5941,plain,
% 14.39/9.56 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 14.39/9.56 inference(rewrite,[status(thm)],[])).
% 14.39/9.56 tff(5942,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_105')).
% 14.39/9.56 tff(5943,plain,
% 14.39/9.56 (nextState(constB105, constB106)),
% 14.39/9.56 inference(modus_ponens,[status(thm)],[5942, 5941])).
% 14.39/9.56 tff(5944,plain,
% 14.39/9.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB105, constB106)) | (v162(constB106) <=> v160(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB105, constB106)) | (v162(constB106) <=> v160(constB105)))),
% 14.39/9.56 inference(rewrite,[status(thm)],[])).
% 14.39/9.56 tff(5945,plain,
% 14.39/9.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB105, constB106)) | (v162(constB106) <=> v160(constB105)))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5946,plain,
% 14.39/9.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB105, constB106)) | (v162(constB106) <=> v160(constB105))),
% 14.39/9.56 inference(modus_ponens,[status(thm)],[5945, 5944])).
% 14.39/9.56 tff(5947,plain,
% 14.39/9.56 (v162(constB106) <=> v160(constB105)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5946, 5943, 70])).
% 14.39/9.56 tff(5948,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB105) <=> (v163(constB105) | v164(constB105)))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5949,plain,
% 14.39/9.56 (v160(constB105) <=> (v163(constB105) | v164(constB105))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5948, 84])).
% 14.39/9.56 tff(5950,plain,
% 14.39/9.56 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB105) <=> (~((~v128(constB105)) | (~v139(constB105)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB105) <=> (~((~v128(constB105)) | (~v139(constB105))))))),
% 14.39/9.56 inference(rewrite,[status(thm)],[])).
% 14.39/9.56 tff(5951,plain,
% 14.39/9.56 ((v163(constB105) <=> (~((~v139(constB105)) | (~v128(constB105))))) <=> (v163(constB105) <=> (~((~v128(constB105)) | (~v139(constB105)))))),
% 14.39/9.56 inference(rewrite,[status(thm)],[])).
% 14.39/9.56 tff(5952,plain,
% 14.39/9.56 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB105) <=> (~((~v139(constB105)) | (~v128(constB105)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB105) <=> (~((~v128(constB105)) | (~v139(constB105))))))),
% 14.39/9.56 inference(monotonicity,[status(thm)],[5951])).
% 14.39/9.56 tff(5953,plain,
% 14.39/9.56 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB105) <=> (~((~v139(constB105)) | (~v128(constB105)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB105) <=> (~((~v128(constB105)) | (~v139(constB105))))))),
% 14.39/9.56 inference(transitivity,[status(thm)],[5952, 5950])).
% 14.39/9.56 tff(5954,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB105) <=> (~((~v139(constB105)) | (~v128(constB105)))))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5955,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB105) <=> (~((~v128(constB105)) | (~v139(constB105)))))),
% 14.39/9.56 inference(modus_ponens,[status(thm)],[5954, 5953])).
% 14.39/9.56 tff(5956,plain,
% 14.39/9.56 (v163(constB105) <=> (~((~v128(constB105)) | (~v139(constB105))))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5955, 171])).
% 14.39/9.56 tff(5957,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB105)) <=> v140(constB105))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5958,plain,
% 14.39/9.56 ((~v139(constB105)) <=> v140(constB105)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5957, 203])).
% 14.39/9.56 tff(5959,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB105) <=> (v141(constB105) | v26(constB105)))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5960,plain,
% 14.39/9.56 (v140(constB105) <=> (v141(constB105) | v26(constB105))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5959, 212])).
% 14.39/9.56 tff(5961,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB105) <=> (~((~v39(constB105)) | (~v9(constB105)))))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5962,plain,
% 14.39/9.56 (v141(constB105) <=> (~((~v39(constB105)) | (~v9(constB105))))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5961, 130])).
% 14.39/9.56 tff(5963,plain,
% 14.39/9.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105)))),
% 14.39/9.56 inference(rewrite,[status(thm)],[])).
% 14.39/9.56 tff(5964,plain,
% 14.39/9.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105)))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5965,plain,
% 14.39/9.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB105, constB106)) | (v13(constB106) <=> v9(constB105))),
% 14.39/9.56 inference(modus_ponens,[status(thm)],[5964, 5963])).
% 14.39/9.56 tff(5966,plain,
% 14.39/9.56 (v13(constB106) <=> v9(constB105)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5965, 5943, 226])).
% 14.39/9.56 tff(5967,plain,
% 14.39/9.56 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB106) <=> v13(constB106))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5968,plain,
% 14.39/9.56 (v6(constB106) <=> v13(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5967, 240])).
% 14.39/9.56 tff(5969,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB106)) <=> v6(constB106))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5970,plain,
% 14.39/9.56 ((~v21(constB106)) <=> v6(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5969, 249])).
% 14.39/9.56 tff(5971,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB106) <=> (v20(constB106) | v21(constB106)))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5972,plain,
% 14.39/9.56 (v19(constB106) <=> (v20(constB106) | v21(constB106))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5971, 258])).
% 14.39/9.56 tff(5973,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106)))))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5974,plain,
% 14.39/9.56 (v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106))))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5973, 270])).
% 14.39/9.56 tff(5975,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB106)) <=> v18(constB106))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5976,plain,
% 14.39/9.56 ((~v4(constB106)) <=> v18(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5975, 279])).
% 14.39/9.56 tff(5977,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB106)),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5978,plain,
% 14.39/9.56 (v4(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5977, 288])).
% 14.39/9.56 tff(5979,plain,
% 14.39/9.56 ((~((~v4(constB106)) <=> v18(constB106))) | (~v4(constB106)) | (~v18(constB106))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(5980,plain,
% 14.39/9.56 (~v18(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5979, 5978, 5976])).
% 14.39/9.56 tff(5981,plain,
% 14.39/9.56 ((~(v18(constB106) <=> (~((~v19(constB106)) | (~v22(constB106)))))) | v18(constB106) | ((~v19(constB106)) | (~v22(constB106)))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(5982,plain,
% 14.39/9.56 ((~v19(constB106)) | (~v22(constB106))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5981, 5980, 5974])).
% 14.39/9.56 tff(5983,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB106) <=> (v1(constB106) | v6(constB106)))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(5984,plain,
% 14.39/9.56 (v22(constB106) <=> (v1(constB106) | v6(constB106))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5983, 301])).
% 14.39/9.56 tff(5985,plain,
% 14.39/9.56 ((v1(constB106) | v6(constB106)) | (~v1(constB106))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(5986,plain,
% 14.39/9.56 (v1(constB106) | v6(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5985, 5914])).
% 14.39/9.56 tff(5987,plain,
% 14.39/9.56 ((~(v22(constB106) <=> (v1(constB106) | v6(constB106)))) | v22(constB106) | (~(v1(constB106) | v6(constB106)))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(5988,plain,
% 14.39/9.56 ((~(v22(constB106) <=> (v1(constB106) | v6(constB106)))) | v22(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5987, 5986])).
% 14.39/9.56 tff(5989,plain,
% 14.39/9.56 (v22(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5988, 5984])).
% 14.39/9.56 tff(5990,plain,
% 14.39/9.56 ((~((~v19(constB106)) | (~v22(constB106)))) | (~v19(constB106)) | (~v22(constB106))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(5991,plain,
% 14.39/9.56 ((~((~v19(constB106)) | (~v22(constB106)))) | (~v19(constB106))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5990, 5989])).
% 14.39/9.56 tff(5992,plain,
% 14.39/9.56 (~v19(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5991, 5982])).
% 14.39/9.56 tff(5993,plain,
% 14.39/9.56 ((~(v19(constB106) <=> (v20(constB106) | v21(constB106)))) | v19(constB106) | (~(v20(constB106) | v21(constB106)))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(5994,plain,
% 14.39/9.56 (~(v20(constB106) | v21(constB106))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5993, 5992, 5972])).
% 14.39/9.56 tff(5995,plain,
% 14.39/9.56 ((v20(constB106) | v21(constB106)) | (~v21(constB106))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(5996,plain,
% 14.39/9.56 (~v21(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5995, 5994])).
% 14.39/9.56 tff(5997,plain,
% 14.39/9.56 ((~((~v21(constB106)) <=> v6(constB106))) | v21(constB106) | v6(constB106)),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(5998,plain,
% 14.39/9.56 (v6(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5997, 5996, 5970])).
% 14.39/9.56 tff(5999,plain,
% 14.39/9.56 ((~(v6(constB106) <=> v13(constB106))) | (~v6(constB106)) | v13(constB106)),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(6000,plain,
% 14.39/9.56 (v13(constB106)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[5999, 5998, 5968])).
% 14.39/9.56 tff(6001,plain,
% 14.39/9.56 ((~(v13(constB106) <=> v9(constB105))) | (~v13(constB106)) | v9(constB105)),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(6002,plain,
% 14.39/9.56 (v9(constB105)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[6001, 6000, 5966])).
% 14.39/9.56 tff(6003,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB105)) <=> v1(constB105))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(6004,plain,
% 14.39/9.56 ((~v39(constB105)) <=> v1(constB105)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[6003, 139])).
% 14.39/9.56 tff(6005,plain,
% 14.39/9.56 ((~v1(constB105)) <=> (~v1(constB105))),
% 14.39/9.56 inference(rewrite,[status(thm)],[])).
% 14.39/9.56 tff(6006,axiom,(~v1(constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_105')).
% 14.39/9.56 tff(6007,plain,
% 14.39/9.56 (~v1(constB105)),
% 14.39/9.56 inference(modus_ponens,[status(thm)],[6006, 6005])).
% 14.39/9.56 tff(6008,plain,
% 14.39/9.56 ((~((~v39(constB105)) <=> v1(constB105))) | v39(constB105) | v1(constB105)),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(6009,plain,
% 14.39/9.56 ((~((~v39(constB105)) <=> v1(constB105))) | v39(constB105)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[6008, 6007])).
% 14.39/9.56 tff(6010,plain,
% 14.39/9.56 (v39(constB105)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[6009, 6004])).
% 14.39/9.56 tff(6011,plain,
% 14.39/9.56 ((~((~v39(constB105)) | (~v9(constB105)))) | (~v39(constB105)) | (~v9(constB105))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(6012,plain,
% 14.39/9.56 ((~((~v39(constB105)) | (~v9(constB105)))) | (~v9(constB105))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[6011, 6010])).
% 14.39/9.56 tff(6013,plain,
% 14.39/9.56 (~((~v39(constB105)) | (~v9(constB105)))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[6012, 6002])).
% 14.39/9.56 tff(6014,plain,
% 14.39/9.56 ((~(v141(constB105) <=> (~((~v39(constB105)) | (~v9(constB105)))))) | v141(constB105) | ((~v39(constB105)) | (~v9(constB105)))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(6015,plain,
% 14.39/9.56 (v141(constB105)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[6014, 6013, 5962])).
% 14.39/9.56 tff(6016,plain,
% 14.39/9.56 ((v141(constB105) | v26(constB105)) | (~v141(constB105))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(6017,plain,
% 14.39/9.56 (v141(constB105) | v26(constB105)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[6016, 6015])).
% 14.39/9.56 tff(6018,plain,
% 14.39/9.56 ((~(v140(constB105) <=> (v141(constB105) | v26(constB105)))) | v140(constB105) | (~(v141(constB105) | v26(constB105)))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(6019,plain,
% 14.39/9.56 (v140(constB105)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[6018, 6017, 5960])).
% 14.39/9.56 tff(6020,plain,
% 14.39/9.56 ((~((~v139(constB105)) <=> v140(constB105))) | (~v139(constB105)) | (~v140(constB105))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(6021,plain,
% 14.39/9.56 (~v139(constB105)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[6020, 6019, 5958])).
% 14.39/9.56 tff(6022,plain,
% 14.39/9.56 (((~v128(constB105)) | (~v139(constB105))) | v139(constB105)),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(6023,plain,
% 14.39/9.56 ((~v128(constB105)) | (~v139(constB105))),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[6022, 6021])).
% 14.39/9.56 tff(6024,plain,
% 14.39/9.56 ((~(v163(constB105) <=> (~((~v128(constB105)) | (~v139(constB105)))))) | (~v163(constB105)) | (~((~v128(constB105)) | (~v139(constB105))))),
% 14.39/9.56 inference(tautology,[status(thm)],[])).
% 14.39/9.56 tff(6025,plain,
% 14.39/9.56 (~v163(constB105)),
% 14.39/9.56 inference(unit_resolution,[status(thm)],[6024, 6023, 5956])).
% 14.39/9.56 tff(6026,plain,
% 14.39/9.56 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB105) <=> (~((~v130(constB105)) | (~v155(constB105)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB105) <=> (~((~v130(constB105)) | (~v155(constB105))))))),
% 14.39/9.56 inference(rewrite,[status(thm)],[])).
% 14.39/9.56 tff(6027,plain,
% 14.39/9.56 ((v164(constB105) <=> (~((~v155(constB105)) | (~v130(constB105))))) <=> (v164(constB105) <=> (~((~v130(constB105)) | (~v155(constB105)))))),
% 14.39/9.56 inference(rewrite,[status(thm)],[])).
% 14.39/9.56 tff(6028,plain,
% 14.39/9.56 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB105) <=> (~((~v155(constB105)) | (~v130(constB105)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB105) <=> (~((~v130(constB105)) | (~v155(constB105))))))),
% 14.39/9.56 inference(monotonicity,[status(thm)],[6027])).
% 14.39/9.56 tff(6029,plain,
% 14.39/9.56 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB105) <=> (~((~v155(constB105)) | (~v130(constB105)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB105) <=> (~((~v130(constB105)) | (~v155(constB105))))))),
% 14.39/9.56 inference(transitivity,[status(thm)],[6028, 6026])).
% 14.39/9.56 tff(6030,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB105) <=> (~((~v155(constB105)) | (~v130(constB105)))))),
% 14.39/9.56 inference(quant_inst,[status(thm)],[])).
% 14.39/9.56 tff(6031,plain,
% 14.39/9.56 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB105) <=> (~((~v130(constB105)) | (~v155(constB105)))))),
% 14.39/9.57 inference(modus_ponens,[status(thm)],[6030, 6029])).
% 14.39/9.57 tff(6032,plain,
% 14.39/9.57 (v164(constB105) <=> (~((~v130(constB105)) | (~v155(constB105))))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6031, 96])).
% 14.39/9.57 tff(6033,plain,
% 14.39/9.57 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB105) <=> v152(constB105))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6034,plain,
% 14.39/9.57 (v130(constB105) <=> v152(constB105)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6033, 361])).
% 14.39/9.57 tff(6035,plain,
% 14.39/9.57 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 14.39/9.57 inference(rewrite,[status(thm)],[])).
% 14.39/9.57 tff(6036,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_104')).
% 14.39/9.57 tff(6037,plain,
% 14.39/9.57 (nextState(constB104, constB105)),
% 14.39/9.57 inference(modus_ponens,[status(thm)],[6036, 6035])).
% 14.39/9.57 tff(6038,plain,
% 14.39/9.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB104, constB105)) | (v152(constB105) <=> v150(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB104, constB105)) | (v152(constB105) <=> v150(constB104)))),
% 14.39/9.57 inference(rewrite,[status(thm)],[])).
% 14.39/9.57 tff(6039,plain,
% 14.39/9.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB104, constB105)) | (v152(constB105) <=> v150(constB104)))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6040,plain,
% 14.39/9.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB104, constB105)) | (v152(constB105) <=> v150(constB104))),
% 14.39/9.57 inference(modus_ponens,[status(thm)],[6039, 6038])).
% 14.39/9.57 tff(6041,plain,
% 14.39/9.57 (v152(constB105) <=> v150(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6040, 6037, 373])).
% 14.39/9.57 tff(6042,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB104) <=> (v153(constB104) | v154(constB104)))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6043,plain,
% 14.39/9.57 (v150(constB104) <=> (v153(constB104) | v154(constB104))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6042, 387])).
% 14.39/9.57 tff(6044,plain,
% 14.39/9.57 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB104) <=> (~((~v132(constB104)) | (~v155(constB104)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB104) <=> (~((~v132(constB104)) | (~v155(constB104))))))),
% 14.39/9.57 inference(rewrite,[status(thm)],[])).
% 14.39/9.57 tff(6045,plain,
% 14.39/9.57 ((v154(constB104) <=> (~((~v155(constB104)) | (~v132(constB104))))) <=> (v154(constB104) <=> (~((~v132(constB104)) | (~v155(constB104)))))),
% 14.39/9.57 inference(rewrite,[status(thm)],[])).
% 14.39/9.57 tff(6046,plain,
% 14.39/9.57 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB104) <=> (~((~v155(constB104)) | (~v132(constB104)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB104) <=> (~((~v132(constB104)) | (~v155(constB104))))))),
% 14.39/9.57 inference(monotonicity,[status(thm)],[6045])).
% 14.39/9.57 tff(6047,plain,
% 14.39/9.57 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB104) <=> (~((~v155(constB104)) | (~v132(constB104)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB104) <=> (~((~v132(constB104)) | (~v155(constB104))))))),
% 14.39/9.57 inference(transitivity,[status(thm)],[6046, 6044])).
% 14.39/9.57 tff(6048,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB104) <=> (~((~v155(constB104)) | (~v132(constB104)))))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6049,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB104) <=> (~((~v132(constB104)) | (~v155(constB104)))))),
% 14.39/9.57 inference(modus_ponens,[status(thm)],[6048, 6047])).
% 14.39/9.57 tff(6050,plain,
% 14.39/9.57 (v154(constB104) <=> (~((~v132(constB104)) | (~v155(constB104))))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6049, 399])).
% 14.39/9.57 tff(6051,plain,
% 14.39/9.57 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB104) <=> (~((~v141(constB104)) | (~v143(constB104)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB104) <=> (~((~v141(constB104)) | (~v143(constB104))))))),
% 14.39/9.57 inference(rewrite,[status(thm)],[])).
% 14.39/9.57 tff(6052,plain,
% 14.39/9.57 ((v155(constB104) <=> (~((~v143(constB104)) | (~v141(constB104))))) <=> (v155(constB104) <=> (~((~v141(constB104)) | (~v143(constB104)))))),
% 14.39/9.57 inference(rewrite,[status(thm)],[])).
% 14.39/9.57 tff(6053,plain,
% 14.39/9.57 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB104) <=> (~((~v143(constB104)) | (~v141(constB104)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB104) <=> (~((~v141(constB104)) | (~v143(constB104))))))),
% 14.39/9.57 inference(monotonicity,[status(thm)],[6052])).
% 14.39/9.57 tff(6054,plain,
% 14.39/9.57 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB104) <=> (~((~v143(constB104)) | (~v141(constB104)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB104) <=> (~((~v141(constB104)) | (~v143(constB104))))))),
% 14.39/9.57 inference(transitivity,[status(thm)],[6053, 6051])).
% 14.39/9.57 tff(6055,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB104) <=> (~((~v143(constB104)) | (~v141(constB104)))))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6056,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB104) <=> (~((~v141(constB104)) | (~v143(constB104)))))),
% 14.39/9.57 inference(modus_ponens,[status(thm)],[6055, 6054])).
% 14.39/9.57 tff(6057,plain,
% 14.39/9.57 (v155(constB104) <=> (~((~v141(constB104)) | (~v143(constB104))))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6056, 113])).
% 14.39/9.57 tff(6058,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB104) <=> (~((~v39(constB104)) | (~v9(constB104)))))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6059,plain,
% 14.39/9.57 (v141(constB104) <=> (~((~v39(constB104)) | (~v9(constB104))))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6058, 130])).
% 14.39/9.57 tff(6060,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB104)) <=> v1(constB104))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6061,plain,
% 14.39/9.57 ((~v39(constB104)) <=> v1(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6060, 139])).
% 14.39/9.57 tff(6062,plain,
% 14.39/9.57 (v1(constB104) <=> v1(constB104)),
% 14.39/9.57 inference(rewrite,[status(thm)],[])).
% 14.39/9.57 tff(6063,axiom,(v1(constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_104')).
% 14.39/9.57 tff(6064,plain,
% 14.39/9.57 (v1(constB104)),
% 14.39/9.57 inference(modus_ponens,[status(thm)],[6063, 6062])).
% 14.39/9.57 tff(6065,plain,
% 14.39/9.57 ((~((~v39(constB104)) <=> v1(constB104))) | (~v39(constB104)) | (~v1(constB104))),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6066,plain,
% 14.39/9.57 ((~((~v39(constB104)) <=> v1(constB104))) | (~v39(constB104))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6065, 6064])).
% 14.39/9.57 tff(6067,plain,
% 14.39/9.57 (~v39(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6066, 6061])).
% 14.39/9.57 tff(6068,plain,
% 14.39/9.57 (((~v39(constB104)) | (~v9(constB104))) | v39(constB104)),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6069,plain,
% 14.39/9.57 ((~v39(constB104)) | (~v9(constB104))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6068, 6067])).
% 14.39/9.57 tff(6070,plain,
% 14.39/9.57 ((~(v141(constB104) <=> (~((~v39(constB104)) | (~v9(constB104)))))) | (~v141(constB104)) | (~((~v39(constB104)) | (~v9(constB104))))),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6071,plain,
% 14.39/9.57 ((~(v141(constB104) <=> (~((~v39(constB104)) | (~v9(constB104)))))) | (~v141(constB104))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6070, 6069])).
% 14.39/9.57 tff(6072,plain,
% 14.39/9.57 (~v141(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6071, 6059])).
% 14.39/9.57 tff(6073,plain,
% 14.39/9.57 (((~v141(constB104)) | (~v143(constB104))) | v141(constB104)),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6074,plain,
% 14.39/9.57 ((~v141(constB104)) | (~v143(constB104))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6073, 6072])).
% 14.39/9.57 tff(6075,plain,
% 14.39/9.57 ((~(v155(constB104) <=> (~((~v141(constB104)) | (~v143(constB104)))))) | (~v155(constB104)) | (~((~v141(constB104)) | (~v143(constB104))))),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6076,plain,
% 14.39/9.57 ((~(v155(constB104) <=> (~((~v141(constB104)) | (~v143(constB104)))))) | (~v155(constB104))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6075, 6074])).
% 14.39/9.57 tff(6077,plain,
% 14.39/9.57 (~v155(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6076, 6057])).
% 14.39/9.57 tff(6078,plain,
% 14.39/9.57 (((~v132(constB104)) | (~v155(constB104))) | v155(constB104)),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6079,plain,
% 14.39/9.57 ((~v132(constB104)) | (~v155(constB104))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6078, 6077])).
% 14.39/9.57 tff(6080,plain,
% 14.39/9.57 ((~(v154(constB104) <=> (~((~v132(constB104)) | (~v155(constB104)))))) | (~v154(constB104)) | (~((~v132(constB104)) | (~v155(constB104))))),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6081,plain,
% 14.39/9.57 (~v154(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6080, 6079, 6050])).
% 14.39/9.57 tff(6082,plain,
% 14.39/9.57 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB104) <=> (~((~v130(constB104)) | (~v139(constB104)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB104) <=> (~((~v130(constB104)) | (~v139(constB104))))))),
% 14.39/9.57 inference(rewrite,[status(thm)],[])).
% 14.39/9.57 tff(6083,plain,
% 14.39/9.57 ((v153(constB104) <=> (~((~v139(constB104)) | (~v130(constB104))))) <=> (v153(constB104) <=> (~((~v130(constB104)) | (~v139(constB104)))))),
% 14.39/9.57 inference(rewrite,[status(thm)],[])).
% 14.39/9.57 tff(6084,plain,
% 14.39/9.57 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB104) <=> (~((~v139(constB104)) | (~v130(constB104)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB104) <=> (~((~v130(constB104)) | (~v139(constB104))))))),
% 14.39/9.57 inference(monotonicity,[status(thm)],[6083])).
% 14.39/9.57 tff(6085,plain,
% 14.39/9.57 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB104) <=> (~((~v139(constB104)) | (~v130(constB104)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB104) <=> (~((~v130(constB104)) | (~v139(constB104))))))),
% 14.39/9.57 inference(transitivity,[status(thm)],[6084, 6082])).
% 14.39/9.57 tff(6086,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB104) <=> (~((~v139(constB104)) | (~v130(constB104)))))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6087,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB104) <=> (~((~v130(constB104)) | (~v139(constB104)))))),
% 14.39/9.57 inference(modus_ponens,[status(thm)],[6086, 6085])).
% 14.39/9.57 tff(6088,plain,
% 14.39/9.57 (v153(constB104) <=> (~((~v130(constB104)) | (~v139(constB104))))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6087, 447])).
% 14.39/9.57 tff(6089,plain,
% 14.39/9.57 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB104) <=> v152(constB104))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6090,plain,
% 14.39/9.57 (v130(constB104) <=> v152(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6089, 361])).
% 14.39/9.57 tff(6091,plain,
% 14.39/9.57 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 14.39/9.57 inference(rewrite,[status(thm)],[])).
% 14.39/9.57 tff(6092,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_103')).
% 14.39/9.57 tff(6093,plain,
% 14.39/9.57 (nextState(constB103, constB104)),
% 14.39/9.57 inference(modus_ponens,[status(thm)],[6092, 6091])).
% 14.39/9.57 tff(6094,plain,
% 14.39/9.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB103, constB104)) | (v152(constB104) <=> v150(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB103, constB104)) | (v152(constB104) <=> v150(constB103)))),
% 14.39/9.57 inference(rewrite,[status(thm)],[])).
% 14.39/9.57 tff(6095,plain,
% 14.39/9.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB103, constB104)) | (v152(constB104) <=> v150(constB103)))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6096,plain,
% 14.39/9.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB103, constB104)) | (v152(constB104) <=> v150(constB103))),
% 14.39/9.57 inference(modus_ponens,[status(thm)],[6095, 6094])).
% 14.39/9.57 tff(6097,plain,
% 14.39/9.57 (v152(constB104) <=> v150(constB103)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6096, 6093, 373])).
% 14.39/9.57 tff(6098,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB103) <=> (v153(constB103) | v154(constB103)))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6099,plain,
% 14.39/9.57 (v150(constB103) <=> (v153(constB103) | v154(constB103))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6098, 387])).
% 14.39/9.57 tff(6100,plain,
% 14.39/9.57 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB103) <=> (~((~v130(constB103)) | (~v139(constB103)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB103) <=> (~((~v130(constB103)) | (~v139(constB103))))))),
% 14.39/9.57 inference(rewrite,[status(thm)],[])).
% 14.39/9.57 tff(6101,plain,
% 14.39/9.57 ((v153(constB103) <=> (~((~v139(constB103)) | (~v130(constB103))))) <=> (v153(constB103) <=> (~((~v130(constB103)) | (~v139(constB103)))))),
% 14.39/9.57 inference(rewrite,[status(thm)],[])).
% 14.39/9.57 tff(6102,plain,
% 14.39/9.57 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB103) <=> (~((~v139(constB103)) | (~v130(constB103)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB103) <=> (~((~v130(constB103)) | (~v139(constB103))))))),
% 14.39/9.57 inference(monotonicity,[status(thm)],[6101])).
% 14.39/9.57 tff(6103,plain,
% 14.39/9.57 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB103) <=> (~((~v139(constB103)) | (~v130(constB103)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB103) <=> (~((~v130(constB103)) | (~v139(constB103))))))),
% 14.39/9.57 inference(transitivity,[status(thm)],[6102, 6100])).
% 14.39/9.57 tff(6104,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB103) <=> (~((~v139(constB103)) | (~v130(constB103)))))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6105,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB103) <=> (~((~v130(constB103)) | (~v139(constB103)))))),
% 14.39/9.57 inference(modus_ponens,[status(thm)],[6104, 6103])).
% 14.39/9.57 tff(6106,plain,
% 14.39/9.57 (v153(constB103) <=> (~((~v130(constB103)) | (~v139(constB103))))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6105, 447])).
% 14.39/9.57 tff(6107,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB103)) <=> v140(constB103))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6108,plain,
% 14.39/9.57 ((~v139(constB103)) <=> v140(constB103)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6107, 203])).
% 14.39/9.57 tff(6109,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB103) <=> (v141(constB103) | v26(constB103)))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6110,plain,
% 14.39/9.57 (v140(constB103) <=> (v141(constB103) | v26(constB103))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6109, 212])).
% 14.39/9.57 tff(6111,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB103) <=> (~((~v39(constB103)) | (~v9(constB103)))))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6112,plain,
% 14.39/9.57 (v141(constB103) <=> (~((~v39(constB103)) | (~v9(constB103))))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6111, 130])).
% 14.39/9.57 tff(6113,plain,
% 14.39/9.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB103, constB104)) | (v13(constB104) <=> v9(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB103, constB104)) | (v13(constB104) <=> v9(constB103)))),
% 14.39/9.57 inference(rewrite,[status(thm)],[])).
% 14.39/9.57 tff(6114,plain,
% 14.39/9.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB103, constB104)) | (v13(constB104) <=> v9(constB103)))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6115,plain,
% 14.39/9.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB103, constB104)) | (v13(constB104) <=> v9(constB103))),
% 14.39/9.57 inference(modus_ponens,[status(thm)],[6114, 6113])).
% 14.39/9.57 tff(6116,plain,
% 14.39/9.57 (v13(constB104) <=> v9(constB103)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6115, 6093, 226])).
% 14.39/9.57 tff(6117,plain,
% 14.39/9.57 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB104) <=> v13(constB104))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6118,plain,
% 14.39/9.57 (v6(constB104) <=> v13(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6117, 240])).
% 14.39/9.57 tff(6119,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB104)) <=> v6(constB104))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6120,plain,
% 14.39/9.57 ((~v21(constB104)) <=> v6(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6119, 249])).
% 14.39/9.57 tff(6121,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB104) <=> (v20(constB104) | v21(constB104)))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6122,plain,
% 14.39/9.57 (v19(constB104) <=> (v20(constB104) | v21(constB104))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6121, 258])).
% 14.39/9.57 tff(6123,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB104) <=> (~((~v19(constB104)) | (~v22(constB104)))))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6124,plain,
% 14.39/9.57 (v18(constB104) <=> (~((~v19(constB104)) | (~v22(constB104))))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6123, 270])).
% 14.39/9.57 tff(6125,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB104)) <=> v18(constB104))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6126,plain,
% 14.39/9.57 ((~v4(constB104)) <=> v18(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6125, 279])).
% 14.39/9.57 tff(6127,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB104)),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6128,plain,
% 14.39/9.57 (v4(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6127, 288])).
% 14.39/9.57 tff(6129,plain,
% 14.39/9.57 ((~((~v4(constB104)) <=> v18(constB104))) | (~v4(constB104)) | (~v18(constB104))),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6130,plain,
% 14.39/9.57 (~v18(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6129, 6128, 6126])).
% 14.39/9.57 tff(6131,plain,
% 14.39/9.57 ((~(v18(constB104) <=> (~((~v19(constB104)) | (~v22(constB104)))))) | v18(constB104) | ((~v19(constB104)) | (~v22(constB104)))),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6132,plain,
% 14.39/9.57 ((~v19(constB104)) | (~v22(constB104))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6131, 6130, 6124])).
% 14.39/9.57 tff(6133,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB104) <=> (v1(constB104) | v6(constB104)))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6134,plain,
% 14.39/9.57 (v22(constB104) <=> (v1(constB104) | v6(constB104))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6133, 301])).
% 14.39/9.57 tff(6135,plain,
% 14.39/9.57 ((v1(constB104) | v6(constB104)) | (~v1(constB104))),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6136,plain,
% 14.39/9.57 (v1(constB104) | v6(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6135, 6064])).
% 14.39/9.57 tff(6137,plain,
% 14.39/9.57 ((~(v22(constB104) <=> (v1(constB104) | v6(constB104)))) | v22(constB104) | (~(v1(constB104) | v6(constB104)))),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6138,plain,
% 14.39/9.57 ((~(v22(constB104) <=> (v1(constB104) | v6(constB104)))) | v22(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6137, 6136])).
% 14.39/9.57 tff(6139,plain,
% 14.39/9.57 (v22(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6138, 6134])).
% 14.39/9.57 tff(6140,plain,
% 14.39/9.57 ((~((~v19(constB104)) | (~v22(constB104)))) | (~v19(constB104)) | (~v22(constB104))),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6141,plain,
% 14.39/9.57 ((~((~v19(constB104)) | (~v22(constB104)))) | (~v19(constB104))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6140, 6139])).
% 14.39/9.57 tff(6142,plain,
% 14.39/9.57 (~v19(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6141, 6132])).
% 14.39/9.57 tff(6143,plain,
% 14.39/9.57 ((~(v19(constB104) <=> (v20(constB104) | v21(constB104)))) | v19(constB104) | (~(v20(constB104) | v21(constB104)))),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6144,plain,
% 14.39/9.57 (~(v20(constB104) | v21(constB104))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6143, 6142, 6122])).
% 14.39/9.57 tff(6145,plain,
% 14.39/9.57 ((v20(constB104) | v21(constB104)) | (~v21(constB104))),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6146,plain,
% 14.39/9.57 (~v21(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6145, 6144])).
% 14.39/9.57 tff(6147,plain,
% 14.39/9.57 ((~((~v21(constB104)) <=> v6(constB104))) | v21(constB104) | v6(constB104)),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6148,plain,
% 14.39/9.57 (v6(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6147, 6146, 6120])).
% 14.39/9.57 tff(6149,plain,
% 14.39/9.57 ((~(v6(constB104) <=> v13(constB104))) | (~v6(constB104)) | v13(constB104)),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6150,plain,
% 14.39/9.57 (v13(constB104)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6149, 6148, 6118])).
% 14.39/9.57 tff(6151,plain,
% 14.39/9.57 ((~(v13(constB104) <=> v9(constB103))) | (~v13(constB104)) | v9(constB103)),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6152,plain,
% 14.39/9.57 (v9(constB103)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6151, 6150, 6116])).
% 14.39/9.57 tff(6153,plain,
% 14.39/9.57 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB103)) <=> v1(constB103))),
% 14.39/9.57 inference(quant_inst,[status(thm)],[])).
% 14.39/9.57 tff(6154,plain,
% 14.39/9.57 ((~v39(constB103)) <=> v1(constB103)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6153, 139])).
% 14.39/9.57 tff(6155,plain,
% 14.39/9.57 ((~v1(constB103)) <=> (~v1(constB103))),
% 14.39/9.57 inference(rewrite,[status(thm)],[])).
% 14.39/9.57 tff(6156,axiom,(~v1(constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_103')).
% 14.39/9.57 tff(6157,plain,
% 14.39/9.57 (~v1(constB103)),
% 14.39/9.57 inference(modus_ponens,[status(thm)],[6156, 6155])).
% 14.39/9.57 tff(6158,plain,
% 14.39/9.57 ((~((~v39(constB103)) <=> v1(constB103))) | v39(constB103) | v1(constB103)),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6159,plain,
% 14.39/9.57 ((~((~v39(constB103)) <=> v1(constB103))) | v39(constB103)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6158, 6157])).
% 14.39/9.57 tff(6160,plain,
% 14.39/9.57 (v39(constB103)),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6159, 6154])).
% 14.39/9.57 tff(6161,plain,
% 14.39/9.57 ((~((~v39(constB103)) | (~v9(constB103)))) | (~v39(constB103)) | (~v9(constB103))),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.57 tff(6162,plain,
% 14.39/9.57 ((~((~v39(constB103)) | (~v9(constB103)))) | (~v9(constB103))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6161, 6160])).
% 14.39/9.57 tff(6163,plain,
% 14.39/9.57 (~((~v39(constB103)) | (~v9(constB103)))),
% 14.39/9.57 inference(unit_resolution,[status(thm)],[6162, 6152])).
% 14.39/9.57 tff(6164,plain,
% 14.39/9.57 ((~(v141(constB103) <=> (~((~v39(constB103)) | (~v9(constB103)))))) | v141(constB103) | ((~v39(constB103)) | (~v9(constB103)))),
% 14.39/9.57 inference(tautology,[status(thm)],[])).
% 14.39/9.58 tff(6165,plain,
% 14.39/9.58 (v141(constB103)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6164, 6163, 6112])).
% 14.39/9.58 tff(6166,plain,
% 14.39/9.58 ((v141(constB103) | v26(constB103)) | (~v141(constB103))),
% 14.39/9.58 inference(tautology,[status(thm)],[])).
% 14.39/9.58 tff(6167,plain,
% 14.39/9.58 (v141(constB103) | v26(constB103)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6166, 6165])).
% 14.39/9.58 tff(6168,plain,
% 14.39/9.58 ((~(v140(constB103) <=> (v141(constB103) | v26(constB103)))) | v140(constB103) | (~(v141(constB103) | v26(constB103)))),
% 14.39/9.58 inference(tautology,[status(thm)],[])).
% 14.39/9.58 tff(6169,plain,
% 14.39/9.58 (v140(constB103)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6168, 6167, 6110])).
% 14.39/9.58 tff(6170,plain,
% 14.39/9.58 ((~((~v139(constB103)) <=> v140(constB103))) | (~v139(constB103)) | (~v140(constB103))),
% 14.39/9.58 inference(tautology,[status(thm)],[])).
% 14.39/9.58 tff(6171,plain,
% 14.39/9.58 (~v139(constB103)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6170, 6169, 6108])).
% 14.39/9.58 tff(6172,plain,
% 14.39/9.58 (((~v130(constB103)) | (~v139(constB103))) | v139(constB103)),
% 14.39/9.58 inference(tautology,[status(thm)],[])).
% 14.39/9.58 tff(6173,plain,
% 14.39/9.58 ((~v130(constB103)) | (~v139(constB103))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6172, 6171])).
% 14.39/9.58 tff(6174,plain,
% 14.39/9.58 ((~(v153(constB103) <=> (~((~v130(constB103)) | (~v139(constB103)))))) | (~v153(constB103)) | (~((~v130(constB103)) | (~v139(constB103))))),
% 14.39/9.58 inference(tautology,[status(thm)],[])).
% 14.39/9.58 tff(6175,plain,
% 14.39/9.58 (~v153(constB103)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6174, 6173, 6106])).
% 14.39/9.58 tff(6176,plain,
% 14.39/9.58 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB103) <=> (~((~v132(constB103)) | (~v155(constB103)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB103) <=> (~((~v132(constB103)) | (~v155(constB103))))))),
% 14.39/9.58 inference(rewrite,[status(thm)],[])).
% 14.39/9.58 tff(6177,plain,
% 14.39/9.58 ((v154(constB103) <=> (~((~v155(constB103)) | (~v132(constB103))))) <=> (v154(constB103) <=> (~((~v132(constB103)) | (~v155(constB103)))))),
% 14.39/9.58 inference(rewrite,[status(thm)],[])).
% 14.39/9.58 tff(6178,plain,
% 14.39/9.58 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB103) <=> (~((~v155(constB103)) | (~v132(constB103)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB103) <=> (~((~v132(constB103)) | (~v155(constB103))))))),
% 14.39/9.58 inference(monotonicity,[status(thm)],[6177])).
% 14.39/9.58 tff(6179,plain,
% 14.39/9.58 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB103) <=> (~((~v155(constB103)) | (~v132(constB103)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB103) <=> (~((~v132(constB103)) | (~v155(constB103))))))),
% 14.39/9.58 inference(transitivity,[status(thm)],[6178, 6176])).
% 14.39/9.58 tff(6180,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB103) <=> (~((~v155(constB103)) | (~v132(constB103)))))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6181,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB103) <=> (~((~v132(constB103)) | (~v155(constB103)))))),
% 14.39/9.58 inference(modus_ponens,[status(thm)],[6180, 6179])).
% 14.39/9.58 tff(6182,plain,
% 14.39/9.58 (v154(constB103) <=> (~((~v132(constB103)) | (~v155(constB103))))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6181, 399])).
% 14.39/9.58 tff(6183,plain,
% 14.39/9.58 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB103) <=> v137(constB103))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6184,plain,
% 14.39/9.58 (v132(constB103) <=> v137(constB103)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6183, 558])).
% 14.39/9.58 tff(6185,plain,
% 14.39/9.58 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 14.39/9.58 inference(rewrite,[status(thm)],[])).
% 14.39/9.58 tff(6186,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_102')).
% 14.39/9.58 tff(6187,plain,
% 14.39/9.58 (nextState(constB102, constB103)),
% 14.39/9.58 inference(modus_ponens,[status(thm)],[6186, 6185])).
% 14.39/9.58 tff(6188,plain,
% 14.39/9.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB102, constB103)) | (v137(constB103) <=> v135(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB102, constB103)) | (v137(constB103) <=> v135(constB102)))),
% 14.39/9.58 inference(rewrite,[status(thm)],[])).
% 14.39/9.58 tff(6189,plain,
% 14.39/9.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB102, constB103)) | (v137(constB103) <=> v135(constB102)))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6190,plain,
% 14.39/9.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB102, constB103)) | (v137(constB103) <=> v135(constB102))),
% 14.39/9.58 inference(modus_ponens,[status(thm)],[6189, 6188])).
% 14.39/9.58 tff(6191,plain,
% 14.39/9.58 (v137(constB103) <=> v135(constB102)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6190, 6187, 570])).
% 14.39/9.58 tff(6192,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB102) <=> (v138(constB102) | v142(constB102)))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6193,plain,
% 14.39/9.58 (v135(constB102) <=> (v138(constB102) | v142(constB102))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6192, 584])).
% 14.39/9.58 tff(6194,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB102) <=> (~((~v143(constB102)) | (~v144(constB102)))))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6195,plain,
% 14.39/9.58 (v142(constB102) <=> (~((~v143(constB102)) | (~v144(constB102))))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6194, 596])).
% 14.39/9.58 tff(6196,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB102) <=> (~((~v141(constB102)) | (~v145(constB102)))))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6197,plain,
% 14.39/9.58 (v144(constB102) <=> (~((~v141(constB102)) | (~v145(constB102))))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6196, 608])).
% 14.39/9.58 tff(6198,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB102) <=> (~((~v39(constB102)) | (~v9(constB102)))))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6199,plain,
% 14.39/9.58 (v141(constB102) <=> (~((~v39(constB102)) | (~v9(constB102))))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6198, 130])).
% 14.39/9.58 tff(6200,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB102)) <=> v1(constB102))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6201,plain,
% 14.39/9.58 ((~v39(constB102)) <=> v1(constB102)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6200, 139])).
% 14.39/9.58 tff(6202,plain,
% 14.39/9.58 (v1(constB102) <=> v1(constB102)),
% 14.39/9.58 inference(rewrite,[status(thm)],[])).
% 14.39/9.58 tff(6203,axiom,(v1(constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_102')).
% 14.39/9.58 tff(6204,plain,
% 14.39/9.58 (v1(constB102)),
% 14.39/9.58 inference(modus_ponens,[status(thm)],[6203, 6202])).
% 14.39/9.58 tff(6205,plain,
% 14.39/9.58 ((~((~v39(constB102)) <=> v1(constB102))) | (~v39(constB102)) | (~v1(constB102))),
% 14.39/9.58 inference(tautology,[status(thm)],[])).
% 14.39/9.58 tff(6206,plain,
% 14.39/9.58 ((~((~v39(constB102)) <=> v1(constB102))) | (~v39(constB102))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6205, 6204])).
% 14.39/9.58 tff(6207,plain,
% 14.39/9.58 (~v39(constB102)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6206, 6201])).
% 14.39/9.58 tff(6208,plain,
% 14.39/9.58 (((~v39(constB102)) | (~v9(constB102))) | v39(constB102)),
% 14.39/9.58 inference(tautology,[status(thm)],[])).
% 14.39/9.58 tff(6209,plain,
% 14.39/9.58 ((~v39(constB102)) | (~v9(constB102))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6208, 6207])).
% 14.39/9.58 tff(6210,plain,
% 14.39/9.58 ((~(v141(constB102) <=> (~((~v39(constB102)) | (~v9(constB102)))))) | (~v141(constB102)) | (~((~v39(constB102)) | (~v9(constB102))))),
% 14.39/9.58 inference(tautology,[status(thm)],[])).
% 14.39/9.58 tff(6211,plain,
% 14.39/9.58 ((~(v141(constB102) <=> (~((~v39(constB102)) | (~v9(constB102)))))) | (~v141(constB102))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6210, 6209])).
% 14.39/9.58 tff(6212,plain,
% 14.39/9.58 (~v141(constB102)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6211, 6199])).
% 14.39/9.58 tff(6213,plain,
% 14.39/9.58 (((~v141(constB102)) | (~v145(constB102))) | v141(constB102)),
% 14.39/9.58 inference(tautology,[status(thm)],[])).
% 14.39/9.58 tff(6214,plain,
% 14.39/9.58 ((~v141(constB102)) | (~v145(constB102))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6213, 6212])).
% 14.39/9.58 tff(6215,plain,
% 14.39/9.58 ((~(v144(constB102) <=> (~((~v141(constB102)) | (~v145(constB102)))))) | (~v144(constB102)) | (~((~v141(constB102)) | (~v145(constB102))))),
% 14.39/9.58 inference(tautology,[status(thm)],[])).
% 14.39/9.58 tff(6216,plain,
% 14.39/9.58 ((~(v144(constB102) <=> (~((~v141(constB102)) | (~v145(constB102)))))) | (~v144(constB102))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6215, 6214])).
% 14.39/9.58 tff(6217,plain,
% 14.39/9.58 (~v144(constB102)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6216, 6197])).
% 14.39/9.58 tff(6218,plain,
% 14.39/9.58 (((~v143(constB102)) | (~v144(constB102))) | v144(constB102)),
% 14.39/9.58 inference(tautology,[status(thm)],[])).
% 14.39/9.58 tff(6219,plain,
% 14.39/9.58 ((~v143(constB102)) | (~v144(constB102))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6218, 6217])).
% 14.39/9.58 tff(6220,plain,
% 14.39/9.58 ((~(v142(constB102) <=> (~((~v143(constB102)) | (~v144(constB102)))))) | (~v142(constB102)) | (~((~v143(constB102)) | (~v144(constB102))))),
% 14.39/9.58 inference(tautology,[status(thm)],[])).
% 14.39/9.58 tff(6221,plain,
% 14.39/9.58 (~v142(constB102)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6220, 6219, 6195])).
% 14.39/9.58 tff(6222,plain,
% 14.39/9.58 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB102) <=> (~((~v132(constB102)) | (~v139(constB102)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB102) <=> (~((~v132(constB102)) | (~v139(constB102))))))),
% 14.39/9.58 inference(rewrite,[status(thm)],[])).
% 14.39/9.58 tff(6223,plain,
% 14.39/9.58 ((v138(constB102) <=> (~((~v139(constB102)) | (~v132(constB102))))) <=> (v138(constB102) <=> (~((~v132(constB102)) | (~v139(constB102)))))),
% 14.39/9.58 inference(rewrite,[status(thm)],[])).
% 14.39/9.58 tff(6224,plain,
% 14.39/9.58 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB102) <=> (~((~v139(constB102)) | (~v132(constB102)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB102) <=> (~((~v132(constB102)) | (~v139(constB102))))))),
% 14.39/9.58 inference(monotonicity,[status(thm)],[6223])).
% 14.39/9.58 tff(6225,plain,
% 14.39/9.58 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB102) <=> (~((~v139(constB102)) | (~v132(constB102)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB102) <=> (~((~v132(constB102)) | (~v139(constB102))))))),
% 14.39/9.58 inference(transitivity,[status(thm)],[6224, 6222])).
% 14.39/9.58 tff(6226,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB102) <=> (~((~v139(constB102)) | (~v132(constB102)))))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6227,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB102) <=> (~((~v132(constB102)) | (~v139(constB102)))))),
% 14.39/9.58 inference(modus_ponens,[status(thm)],[6226, 6225])).
% 14.39/9.58 tff(6228,plain,
% 14.39/9.58 (v138(constB102) <=> (~((~v132(constB102)) | (~v139(constB102))))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6227, 644])).
% 14.39/9.58 tff(6229,plain,
% 14.39/9.58 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB102) <=> v137(constB102))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6230,plain,
% 14.39/9.58 (v132(constB102) <=> v137(constB102)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6229, 558])).
% 14.39/9.58 tff(6231,plain,
% 14.39/9.58 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 14.39/9.58 inference(rewrite,[status(thm)],[])).
% 14.39/9.58 tff(6232,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_101')).
% 14.39/9.58 tff(6233,plain,
% 14.39/9.58 (nextState(constB101, constB102)),
% 14.39/9.58 inference(modus_ponens,[status(thm)],[6232, 6231])).
% 14.39/9.58 tff(6234,plain,
% 14.39/9.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB101, constB102)) | (v137(constB102) <=> v135(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB101, constB102)) | (v137(constB102) <=> v135(constB101)))),
% 14.39/9.58 inference(rewrite,[status(thm)],[])).
% 14.39/9.58 tff(6235,plain,
% 14.39/9.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB101, constB102)) | (v137(constB102) <=> v135(constB101)))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6236,plain,
% 14.39/9.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB101, constB102)) | (v137(constB102) <=> v135(constB101))),
% 14.39/9.58 inference(modus_ponens,[status(thm)],[6235, 6234])).
% 14.39/9.58 tff(6237,plain,
% 14.39/9.58 (v137(constB102) <=> v135(constB101)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6236, 6233, 570])).
% 14.39/9.58 tff(6238,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB101) <=> (v138(constB101) | v142(constB101)))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6239,plain,
% 14.39/9.58 (v135(constB101) <=> (v138(constB101) | v142(constB101))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6238, 584])).
% 14.39/9.58 tff(6240,plain,
% 14.39/9.58 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB101) <=> (~((~v132(constB101)) | (~v139(constB101)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB101) <=> (~((~v132(constB101)) | (~v139(constB101))))))),
% 14.39/9.58 inference(rewrite,[status(thm)],[])).
% 14.39/9.58 tff(6241,plain,
% 14.39/9.58 ((v138(constB101) <=> (~((~v139(constB101)) | (~v132(constB101))))) <=> (v138(constB101) <=> (~((~v132(constB101)) | (~v139(constB101)))))),
% 14.39/9.58 inference(rewrite,[status(thm)],[])).
% 14.39/9.58 tff(6242,plain,
% 14.39/9.58 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB101) <=> (~((~v139(constB101)) | (~v132(constB101)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB101) <=> (~((~v132(constB101)) | (~v139(constB101))))))),
% 14.39/9.58 inference(monotonicity,[status(thm)],[6241])).
% 14.39/9.58 tff(6243,plain,
% 14.39/9.58 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB101) <=> (~((~v139(constB101)) | (~v132(constB101)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB101) <=> (~((~v132(constB101)) | (~v139(constB101))))))),
% 14.39/9.58 inference(transitivity,[status(thm)],[6242, 6240])).
% 14.39/9.58 tff(6244,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB101) <=> (~((~v139(constB101)) | (~v132(constB101)))))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6245,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB101) <=> (~((~v132(constB101)) | (~v139(constB101)))))),
% 14.39/9.58 inference(modus_ponens,[status(thm)],[6244, 6243])).
% 14.39/9.58 tff(6246,plain,
% 14.39/9.58 (v138(constB101) <=> (~((~v132(constB101)) | (~v139(constB101))))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6245, 644])).
% 14.39/9.58 tff(6247,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB101)) <=> v140(constB101))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6248,plain,
% 14.39/9.58 ((~v139(constB101)) <=> v140(constB101)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6247, 203])).
% 14.39/9.58 tff(6249,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB101) <=> (v141(constB101) | v26(constB101)))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6250,plain,
% 14.39/9.58 (v140(constB101) <=> (v141(constB101) | v26(constB101))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6249, 212])).
% 14.39/9.58 tff(6251,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB101) <=> (~((~v39(constB101)) | (~v9(constB101)))))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6252,plain,
% 14.39/9.58 (v141(constB101) <=> (~((~v39(constB101)) | (~v9(constB101))))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6251, 130])).
% 14.39/9.58 tff(6253,plain,
% 14.39/9.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB101, constB102)) | (v13(constB102) <=> v9(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB101, constB102)) | (v13(constB102) <=> v9(constB101)))),
% 14.39/9.58 inference(rewrite,[status(thm)],[])).
% 14.39/9.58 tff(6254,plain,
% 14.39/9.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB101, constB102)) | (v13(constB102) <=> v9(constB101)))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6255,plain,
% 14.39/9.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB101, constB102)) | (v13(constB102) <=> v9(constB101))),
% 14.39/9.58 inference(modus_ponens,[status(thm)],[6254, 6253])).
% 14.39/9.58 tff(6256,plain,
% 14.39/9.58 (v13(constB102) <=> v9(constB101)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6255, 6233, 226])).
% 14.39/9.58 tff(6257,plain,
% 14.39/9.58 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB102) <=> v13(constB102))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6258,plain,
% 14.39/9.58 (v6(constB102) <=> v13(constB102)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6257, 240])).
% 14.39/9.58 tff(6259,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB102)) <=> v6(constB102))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6260,plain,
% 14.39/9.58 ((~v21(constB102)) <=> v6(constB102)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6259, 249])).
% 14.39/9.58 tff(6261,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB102) <=> (v20(constB102) | v21(constB102)))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6262,plain,
% 14.39/9.58 (v19(constB102) <=> (v20(constB102) | v21(constB102))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6261, 258])).
% 14.39/9.58 tff(6263,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB102) <=> (~((~v19(constB102)) | (~v22(constB102)))))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6264,plain,
% 14.39/9.58 (v18(constB102) <=> (~((~v19(constB102)) | (~v22(constB102))))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6263, 270])).
% 14.39/9.58 tff(6265,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB102)) <=> v18(constB102))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6266,plain,
% 14.39/9.58 ((~v4(constB102)) <=> v18(constB102)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6265, 279])).
% 14.39/9.58 tff(6267,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB102)),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.58 tff(6268,plain,
% 14.39/9.58 (v4(constB102)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6267, 288])).
% 14.39/9.58 tff(6269,plain,
% 14.39/9.58 ((~((~v4(constB102)) <=> v18(constB102))) | (~v4(constB102)) | (~v18(constB102))),
% 14.39/9.58 inference(tautology,[status(thm)],[])).
% 14.39/9.58 tff(6270,plain,
% 14.39/9.58 (~v18(constB102)),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6269, 6268, 6266])).
% 14.39/9.58 tff(6271,plain,
% 14.39/9.58 ((~(v18(constB102) <=> (~((~v19(constB102)) | (~v22(constB102)))))) | v18(constB102) | ((~v19(constB102)) | (~v22(constB102)))),
% 14.39/9.58 inference(tautology,[status(thm)],[])).
% 14.39/9.58 tff(6272,plain,
% 14.39/9.58 ((~v19(constB102)) | (~v22(constB102))),
% 14.39/9.58 inference(unit_resolution,[status(thm)],[6271, 6270, 6264])).
% 14.39/9.58 tff(6273,plain,
% 14.39/9.58 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB102) <=> (v1(constB102) | v6(constB102)))),
% 14.39/9.58 inference(quant_inst,[status(thm)],[])).
% 14.39/9.59 tff(6274,plain,
% 14.39/9.59 (v22(constB102) <=> (v1(constB102) | v6(constB102))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6273, 301])).
% 14.39/9.59 tff(6275,plain,
% 14.39/9.59 ((v1(constB102) | v6(constB102)) | (~v1(constB102))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6276,plain,
% 14.39/9.59 (v1(constB102) | v6(constB102)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6275, 6204])).
% 14.39/9.59 tff(6277,plain,
% 14.39/9.59 ((~(v22(constB102) <=> (v1(constB102) | v6(constB102)))) | v22(constB102) | (~(v1(constB102) | v6(constB102)))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6278,plain,
% 14.39/9.59 ((~(v22(constB102) <=> (v1(constB102) | v6(constB102)))) | v22(constB102)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6277, 6276])).
% 14.39/9.59 tff(6279,plain,
% 14.39/9.59 (v22(constB102)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6278, 6274])).
% 14.39/9.59 tff(6280,plain,
% 14.39/9.59 ((~((~v19(constB102)) | (~v22(constB102)))) | (~v19(constB102)) | (~v22(constB102))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6281,plain,
% 14.39/9.59 ((~((~v19(constB102)) | (~v22(constB102)))) | (~v19(constB102))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6280, 6279])).
% 14.39/9.59 tff(6282,plain,
% 14.39/9.59 (~v19(constB102)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6281, 6272])).
% 14.39/9.59 tff(6283,plain,
% 14.39/9.59 ((~(v19(constB102) <=> (v20(constB102) | v21(constB102)))) | v19(constB102) | (~(v20(constB102) | v21(constB102)))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6284,plain,
% 14.39/9.59 (~(v20(constB102) | v21(constB102))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6283, 6282, 6262])).
% 14.39/9.59 tff(6285,plain,
% 14.39/9.59 ((v20(constB102) | v21(constB102)) | (~v21(constB102))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6286,plain,
% 14.39/9.59 (~v21(constB102)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6285, 6284])).
% 14.39/9.59 tff(6287,plain,
% 14.39/9.59 ((~((~v21(constB102)) <=> v6(constB102))) | v21(constB102) | v6(constB102)),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6288,plain,
% 14.39/9.59 (v6(constB102)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6287, 6286, 6260])).
% 14.39/9.59 tff(6289,plain,
% 14.39/9.59 ((~(v6(constB102) <=> v13(constB102))) | (~v6(constB102)) | v13(constB102)),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6290,plain,
% 14.39/9.59 (v13(constB102)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6289, 6288, 6258])).
% 14.39/9.59 tff(6291,plain,
% 14.39/9.59 ((~(v13(constB102) <=> v9(constB101))) | (~v13(constB102)) | v9(constB101)),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6292,plain,
% 14.39/9.59 (v9(constB101)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6291, 6290, 6256])).
% 14.39/9.59 tff(6293,plain,
% 14.39/9.59 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB101)) <=> v1(constB101))),
% 14.39/9.59 inference(quant_inst,[status(thm)],[])).
% 14.39/9.59 tff(6294,plain,
% 14.39/9.59 ((~v39(constB101)) <=> v1(constB101)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6293, 139])).
% 14.39/9.59 tff(6295,plain,
% 14.39/9.59 ((~v1(constB101)) <=> (~v1(constB101))),
% 14.39/9.59 inference(rewrite,[status(thm)],[])).
% 14.39/9.59 tff(6296,axiom,(~v1(constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_101')).
% 14.39/9.59 tff(6297,plain,
% 14.39/9.59 (~v1(constB101)),
% 14.39/9.59 inference(modus_ponens,[status(thm)],[6296, 6295])).
% 14.39/9.59 tff(6298,plain,
% 14.39/9.59 ((~((~v39(constB101)) <=> v1(constB101))) | v39(constB101) | v1(constB101)),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6299,plain,
% 14.39/9.59 ((~((~v39(constB101)) <=> v1(constB101))) | v39(constB101)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6298, 6297])).
% 14.39/9.59 tff(6300,plain,
% 14.39/9.59 (v39(constB101)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6299, 6294])).
% 14.39/9.59 tff(6301,plain,
% 14.39/9.59 ((~((~v39(constB101)) | (~v9(constB101)))) | (~v39(constB101)) | (~v9(constB101))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6302,plain,
% 14.39/9.59 ((~((~v39(constB101)) | (~v9(constB101)))) | (~v9(constB101))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6301, 6300])).
% 14.39/9.59 tff(6303,plain,
% 14.39/9.59 (~((~v39(constB101)) | (~v9(constB101)))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6302, 6292])).
% 14.39/9.59 tff(6304,plain,
% 14.39/9.59 ((~(v141(constB101) <=> (~((~v39(constB101)) | (~v9(constB101)))))) | v141(constB101) | ((~v39(constB101)) | (~v9(constB101)))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6305,plain,
% 14.39/9.59 (v141(constB101)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6304, 6303, 6252])).
% 14.39/9.59 tff(6306,plain,
% 14.39/9.59 ((v141(constB101) | v26(constB101)) | (~v141(constB101))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6307,plain,
% 14.39/9.59 (v141(constB101) | v26(constB101)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6306, 6305])).
% 14.39/9.59 tff(6308,plain,
% 14.39/9.59 ((~(v140(constB101) <=> (v141(constB101) | v26(constB101)))) | v140(constB101) | (~(v141(constB101) | v26(constB101)))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6309,plain,
% 14.39/9.59 (v140(constB101)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6308, 6307, 6250])).
% 14.39/9.59 tff(6310,plain,
% 14.39/9.59 ((~((~v139(constB101)) <=> v140(constB101))) | (~v139(constB101)) | (~v140(constB101))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6311,plain,
% 14.39/9.59 (~v139(constB101)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6310, 6309, 6248])).
% 14.39/9.59 tff(6312,plain,
% 14.39/9.59 (((~v132(constB101)) | (~v139(constB101))) | v139(constB101)),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6313,plain,
% 14.39/9.59 ((~v132(constB101)) | (~v139(constB101))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6312, 6311])).
% 14.39/9.59 tff(6314,plain,
% 14.39/9.59 ((~(v138(constB101) <=> (~((~v132(constB101)) | (~v139(constB101)))))) | (~v138(constB101)) | (~((~v132(constB101)) | (~v139(constB101))))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6315,plain,
% 14.39/9.59 (~v138(constB101)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6314, 6313, 6246])).
% 14.39/9.59 tff(6316,plain,
% 14.39/9.59 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB101) <=> (~((~v143(constB101)) | (~v144(constB101)))))),
% 14.39/9.59 inference(quant_inst,[status(thm)],[])).
% 14.39/9.59 tff(6317,plain,
% 14.39/9.59 (v142(constB101) <=> (~((~v143(constB101)) | (~v144(constB101))))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6316, 596])).
% 14.39/9.59 tff(6318,plain,
% 14.39/9.59 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB101) <=> (~((~v141(constB101)) | (~v145(constB101)))))),
% 14.39/9.59 inference(quant_inst,[status(thm)],[])).
% 14.39/9.59 tff(6319,plain,
% 14.39/9.59 (v144(constB101) <=> (~((~v141(constB101)) | (~v145(constB101))))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6318, 608])).
% 14.39/9.59 tff(6320,plain,
% 14.39/9.59 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB101) <=> (~(v84(constB101, 1) | v84(constB101, 2) | (~v84(constB101, 0)))))),
% 14.39/9.59 inference(quant_inst,[status(thm)],[])).
% 14.39/9.59 tff(6321,plain,
% 14.39/9.59 (v145(constB101) <=> (~(v84(constB101, 1) | v84(constB101, 2) | (~v84(constB101, 0))))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6320, 755])).
% 14.39/9.59 tff(6322,plain,
% 14.39/9.59 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 14.39/9.59 inference(rewrite,[status(thm)],[])).
% 14.39/9.59 tff(6323,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_100')).
% 14.39/9.59 tff(6324,plain,
% 14.39/9.59 (nextState(constB100, constB101)),
% 14.39/9.59 inference(modus_ponens,[status(thm)],[6323, 6322])).
% 14.39/9.59 tff(6325,plain,
% 14.39/9.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB100, constB101)) | (v94(constB101) <=> (~((~v95(constB101)) | (~v104(constB101))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB100, constB101)) | (v94(constB101) <=> (~((~v95(constB101)) | (~v104(constB101))))))),
% 14.39/9.59 inference(rewrite,[status(thm)],[])).
% 14.39/9.59 tff(6326,plain,
% 14.39/9.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB100, constB101)) | (v94(constB101) <=> (~((~v95(constB101)) | (~v104(constB101))))))),
% 14.39/9.59 inference(quant_inst,[status(thm)],[])).
% 14.39/9.59 tff(6327,plain,
% 14.39/9.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB100, constB101)) | (v94(constB101) <=> (~((~v95(constB101)) | (~v104(constB101)))))),
% 14.39/9.59 inference(modus_ponens,[status(thm)],[6326, 6325])).
% 14.39/9.59 tff(6328,plain,
% 14.39/9.59 (v94(constB101) <=> (~((~v95(constB101)) | (~v104(constB101))))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6327, 6324, 770])).
% 14.39/9.59 tff(6329,plain,
% 14.39/9.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101))))))),
% 14.39/9.59 inference(rewrite,[status(thm)],[])).
% 14.39/9.59 tff(6330,plain,
% 14.39/9.59 (((~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v96(constB101)) | (~v1(constB101)))))) <=> ((~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101))))))),
% 14.39/9.59 inference(rewrite,[status(thm)],[])).
% 14.39/9.59 tff(6331,plain,
% 14.39/9.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v96(constB101)) | (~v1(constB101))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101)))))))),
% 14.39/9.59 inference(monotonicity,[status(thm)],[6330])).
% 14.39/9.59 tff(6332,plain,
% 14.39/9.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v96(constB101)) | (~v1(constB101))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101))))))),
% 14.39/9.59 inference(transitivity,[status(thm)],[6331, 6329])).
% 14.39/9.59 tff(6333,plain,
% 14.39/9.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v96(constB101)) | (~v1(constB101))))))),
% 14.39/9.59 inference(quant_inst,[status(thm)],[])).
% 14.39/9.59 tff(6334,plain,
% 14.39/9.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101)))))),
% 14.39/9.59 inference(modus_ponens,[status(thm)],[6333, 6332])).
% 14.39/9.59 tff(6335,plain,
% 14.39/9.59 (v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101))))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6334, 6324, 790])).
% 14.39/9.59 tff(6336,plain,
% 14.39/9.59 (((~v1(constB101)) | (~v96(constB101))) | v1(constB101)),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6337,plain,
% 14.39/9.59 ((~v1(constB101)) | (~v96(constB101))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6336, 6297])).
% 14.39/9.59 tff(6338,plain,
% 14.39/9.59 ((~(v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101)))))) | (~v95(constB101)) | (~((~v1(constB101)) | (~v96(constB101))))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6339,plain,
% 14.39/9.59 ((~(v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101)))))) | (~v95(constB101))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6338, 6337])).
% 14.39/9.59 tff(6340,plain,
% 14.39/9.59 (~v95(constB101)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6339, 6335])).
% 14.39/9.59 tff(6341,plain,
% 14.39/9.59 (((~v95(constB101)) | (~v104(constB101))) | v95(constB101)),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6342,plain,
% 14.39/9.59 ((~v95(constB101)) | (~v104(constB101))),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6341, 6340])).
% 14.39/9.59 tff(6343,plain,
% 14.39/9.59 ((~(v94(constB101) <=> (~((~v95(constB101)) | (~v104(constB101)))))) | (~v94(constB101)) | (~((~v95(constB101)) | (~v104(constB101))))),
% 14.39/9.59 inference(tautology,[status(thm)],[])).
% 14.39/9.59 tff(6344,plain,
% 14.39/9.59 (~v94(constB101)),
% 14.39/9.59 inference(unit_resolution,[status(thm)],[6343, 6342, 6328])).
% 14.39/9.59 tff(6345,plain,
% 14.39/9.59 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB101) | (~nextState(constB100, constB101)) | (~(((~v84(constB101, 1)) <=> v84(constB100, 1)) | ((~v84(constB101, 2)) <=> v84(constB100, 2)) | ((~v84(constB101, 0)) <=> v84(constB100, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB101) | (~nextState(constB100, constB101)) | (~(((~v84(constB101, 1)) <=> v84(constB100, 1)) | ((~v84(constB101, 2)) <=> v84(constB100, 2)) | ((~v84(constB101, 0)) <=> v84(constB100, 0)))))),
% 14.39/9.59 inference(rewrite,[status(thm)],[])).
% 14.39/9.59 tff(6346,plain,
% 14.39/9.59 ((v94(constB101) | (~nextState(constB100, constB101)) | (~(((~v84(constB101, 2)) <=> v84(constB100, 2)) | ((~v84(constB101, 1)) <=> v84(constB100, 1)) | ((~v84(constB101, 0)) <=> v84(constB100, 0))))) <=> (v94(constB101) | (~nextState(constB100, constB101)) | (~(((~v84(constB101, 1)) <=> v84(constB100, 1)) | ((~v84(constB101, 2)) <=> v84(constB100, 2)) | ((~v84(constB101, 0)) <=> v84(constB100, 0)))))),
% 14.39/9.59 inference(rewrite,[status(thm)],[])).
% 14.39/9.59 tff(6347,plain,
% 14.39/9.59 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB101) | (~nextState(constB100, constB101)) | (~(((~v84(constB101, 2)) <=> v84(constB100, 2)) | ((~v84(constB101, 1)) <=> v84(constB100, 1)) | ((~v84(constB101, 0)) <=> v84(constB100, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB101) | (~nextState(constB100, constB101)) | (~(((~v84(constB101, 1)) <=> v84(constB100, 1)) | ((~v84(constB101, 2)) <=> v84(constB100, 2)) | ((~v84(constB101, 0)) <=> v84(constB100, 0))))))),
% 14.46/9.59 inference(monotonicity,[status(thm)],[6346])).
% 14.46/9.59 tff(6348,plain,
% 14.46/9.59 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB101) | (~nextState(constB100, constB101)) | (~(((~v84(constB101, 2)) <=> v84(constB100, 2)) | ((~v84(constB101, 1)) <=> v84(constB100, 1)) | ((~v84(constB101, 0)) <=> v84(constB100, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB101) | (~nextState(constB100, constB101)) | (~(((~v84(constB101, 1)) <=> v84(constB100, 1)) | ((~v84(constB101, 2)) <=> v84(constB100, 2)) | ((~v84(constB101, 0)) <=> v84(constB100, 0)))))),
% 14.46/9.59 inference(transitivity,[status(thm)],[6347, 6345])).
% 14.46/9.59 tff(6349,plain,
% 14.46/9.59 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB101) | (~nextState(constB100, constB101)) | (~(((~v84(constB101, 2)) <=> v84(constB100, 2)) | ((~v84(constB101, 1)) <=> v84(constB100, 1)) | ((~v84(constB101, 0)) <=> v84(constB100, 0)))))),
% 14.46/9.59 inference(quant_inst,[status(thm)],[])).
% 14.46/9.59 tff(6350,plain,
% 14.46/9.59 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB101) | (~nextState(constB100, constB101)) | (~(((~v84(constB101, 1)) <=> v84(constB100, 1)) | ((~v84(constB101, 2)) <=> v84(constB100, 2)) | ((~v84(constB101, 0)) <=> v84(constB100, 0))))),
% 14.46/9.60 inference(modus_ponens,[status(thm)],[6349, 6348])).
% 14.46/9.60 tff(6351,plain,
% 14.46/9.60 (v94(constB101) | (~(((~v84(constB101, 1)) <=> v84(constB100, 1)) | ((~v84(constB101, 2)) <=> v84(constB100, 2)) | ((~v84(constB101, 0)) <=> v84(constB100, 0))))),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6350, 6324, 819])).
% 14.46/9.60 tff(6352,plain,
% 14.46/9.60 (~(((~v84(constB101, 1)) <=> v84(constB100, 1)) | ((~v84(constB101, 2)) <=> v84(constB100, 2)) | ((~v84(constB101, 0)) <=> v84(constB100, 0)))),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6351, 6344])).
% 14.46/9.60 tff(6353,plain,
% 14.46/9.60 ((((~v84(constB101, 1)) <=> v84(constB100, 1)) | ((~v84(constB101, 2)) <=> v84(constB100, 2)) | ((~v84(constB101, 0)) <=> v84(constB100, 0))) | (~((~v84(constB101, 1)) <=> v84(constB100, 1)))),
% 14.46/9.60 inference(tautology,[status(thm)],[])).
% 14.46/9.60 tff(6354,plain,
% 14.46/9.60 (~((~v84(constB101, 1)) <=> v84(constB100, 1))),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6353, 6352])).
% 14.46/9.60 tff(6355,plain,
% 14.46/9.60 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 14.46/9.60 inference(rewrite,[status(thm)],[])).
% 14.46/9.60 tff(6356,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_99')).
% 14.46/9.60 tff(6357,plain,
% 14.46/9.60 (nextState(constB99, constB100)),
% 14.46/9.60 inference(modus_ponens,[status(thm)],[6356, 6355])).
% 14.46/9.60 tff(6358,plain,
% 14.46/9.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB99, constB100)) | (~(((~v123(constB100, 2)) <=> v121(constB99, 2)) | ((~v123(constB100, 1)) <=> v121(constB99, 1)) | ((~v123(constB100, 0)) <=> v121(constB99, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB99, constB100)) | (~(((~v123(constB100, 2)) <=> v121(constB99, 2)) | ((~v123(constB100, 1)) <=> v121(constB99, 1)) | ((~v123(constB100, 0)) <=> v121(constB99, 0)))))),
% 14.46/9.60 inference(rewrite,[status(thm)],[])).
% 14.46/9.60 tff(6359,plain,
% 14.46/9.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB99, constB100)) | (~(((~v123(constB100, 2)) <=> v121(constB99, 2)) | ((~v123(constB100, 1)) <=> v121(constB99, 1)) | ((~v123(constB100, 0)) <=> v121(constB99, 0)))))),
% 14.46/9.60 inference(quant_inst,[status(thm)],[])).
% 14.46/9.60 tff(6360,plain,
% 14.46/9.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB99, constB100)) | (~(((~v123(constB100, 2)) <=> v121(constB99, 2)) | ((~v123(constB100, 1)) <=> v121(constB99, 1)) | ((~v123(constB100, 0)) <=> v121(constB99, 0))))),
% 14.46/9.60 inference(modus_ponens,[status(thm)],[6359, 6358])).
% 14.46/9.60 tff(6361,plain,
% 14.46/9.60 (~(((~v123(constB100, 2)) <=> v121(constB99, 2)) | ((~v123(constB100, 1)) <=> v121(constB99, 1)) | ((~v123(constB100, 0)) <=> v121(constB99, 0)))),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6360, 6357, 842])).
% 14.46/9.60 tff(6362,plain,
% 14.46/9.60 ((((~v123(constB100, 2)) <=> v121(constB99, 2)) | ((~v123(constB100, 1)) <=> v121(constB99, 1)) | ((~v123(constB100, 0)) <=> v121(constB99, 0))) | (~((~v123(constB100, 1)) <=> v121(constB99, 1)))),
% 14.46/9.60 inference(tautology,[status(thm)],[])).
% 14.46/9.60 tff(6363,plain,
% 14.46/9.60 (~((~v123(constB100, 1)) <=> v121(constB99, 1))),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6362, 6361])).
% 14.46/9.60 tff(6364,plain,
% 14.46/9.60 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB99) <=> v26(constB99))),
% 14.46/9.60 inference(quant_inst,[status(thm)],[])).
% 14.46/9.60 tff(6365,plain,
% 14.46/9.60 (v105(constB99) <=> v26(constB99)),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6364, 861])).
% 14.46/9.60 tff(6366,plain,
% 14.46/9.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB99))),
% 14.46/9.60 inference(quant_inst,[status(thm)],[])).
% 14.46/9.60 tff(6367,plain,
% 14.46/9.60 (~v26(constB99)),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6366, 873])).
% 14.46/9.60 tff(6368,plain,
% 14.46/9.60 ((~(v105(constB99) <=> v26(constB99))) | (~v105(constB99)) | v26(constB99)),
% 14.46/9.60 inference(tautology,[status(thm)],[])).
% 14.46/9.60 tff(6369,plain,
% 14.46/9.60 ((~(v105(constB99) <=> v26(constB99))) | (~v105(constB99))),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6368, 6367])).
% 14.46/9.60 tff(6370,plain,
% 14.46/9.60 (~v105(constB99)),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6369, 6365])).
% 14.46/9.60 tff(6371,plain,
% 14.46/9.60 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB99) | (~(((~v121(constB99, 2)) <=> v124(constB99, 2)) | ((~v121(constB99, 0)) <=> v124(constB99, 0)) | ((~v121(constB99, 1)) <=> v124(constB99, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB99) | (~(((~v121(constB99, 2)) <=> v124(constB99, 2)) | ((~v121(constB99, 0)) <=> v124(constB99, 0)) | ((~v121(constB99, 1)) <=> v124(constB99, 1)))))),
% 14.46/9.60 inference(rewrite,[status(thm)],[])).
% 14.46/9.60 tff(6372,plain,
% 14.46/9.60 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB99) | (~(((~v121(constB99, 2)) <=> v124(constB99, 2)) | ((~v121(constB99, 0)) <=> v124(constB99, 0)) | ((~v121(constB99, 1)) <=> v124(constB99, 1)))))),
% 14.46/9.60 inference(quant_inst,[status(thm)],[])).
% 14.46/9.60 tff(6373,plain,
% 14.46/9.60 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB99) | (~(((~v121(constB99, 2)) <=> v124(constB99, 2)) | ((~v121(constB99, 0)) <=> v124(constB99, 0)) | ((~v121(constB99, 1)) <=> v124(constB99, 1))))),
% 14.46/9.60 inference(modus_ponens,[status(thm)],[6372, 6371])).
% 14.46/9.60 tff(6374,plain,
% 14.46/9.60 (v105(constB99) | (~(((~v121(constB99, 2)) <=> v124(constB99, 2)) | ((~v121(constB99, 0)) <=> v124(constB99, 0)) | ((~v121(constB99, 1)) <=> v124(constB99, 1))))),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6373, 891])).
% 14.46/9.60 tff(6375,plain,
% 14.46/9.60 (~(((~v121(constB99, 2)) <=> v124(constB99, 2)) | ((~v121(constB99, 0)) <=> v124(constB99, 0)) | ((~v121(constB99, 1)) <=> v124(constB99, 1)))),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6374, 6370])).
% 14.46/9.60 tff(6376,plain,
% 14.46/9.60 ((((~v121(constB99, 2)) <=> v124(constB99, 2)) | ((~v121(constB99, 0)) <=> v124(constB99, 0)) | ((~v121(constB99, 1)) <=> v124(constB99, 1))) | (~((~v121(constB99, 1)) <=> v124(constB99, 1)))),
% 14.46/9.60 inference(tautology,[status(thm)],[])).
% 14.46/9.60 tff(6377,plain,
% 14.46/9.60 (~((~v121(constB99, 1)) <=> v124(constB99, 1))),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6376, 6375])).
% 14.46/9.60 tff(6378,plain,
% 14.46/9.60 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB99) <=> (~(v84(constB99, 2) | v84(constB99, 0) | (~v84(constB99, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB99) <=> (~(v84(constB99, 2) | v84(constB99, 0) | (~v84(constB99, 1))))))),
% 14.46/9.60 inference(rewrite,[status(thm)],[])).
% 14.46/9.60 tff(6379,plain,
% 14.46/9.60 ((v115(constB99) <=> (~(v84(constB99, 0) | v84(constB99, 2) | (~v84(constB99, 1))))) <=> (v115(constB99) <=> (~(v84(constB99, 2) | v84(constB99, 0) | (~v84(constB99, 1)))))),
% 14.46/9.60 inference(rewrite,[status(thm)],[])).
% 14.46/9.60 tff(6380,plain,
% 14.46/9.60 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB99) <=> (~(v84(constB99, 0) | v84(constB99, 2) | (~v84(constB99, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB99) <=> (~(v84(constB99, 2) | v84(constB99, 0) | (~v84(constB99, 1))))))),
% 14.46/9.60 inference(monotonicity,[status(thm)],[6379])).
% 14.46/9.60 tff(6381,plain,
% 14.46/9.60 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB99) <=> (~(v84(constB99, 0) | v84(constB99, 2) | (~v84(constB99, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB99) <=> (~(v84(constB99, 2) | v84(constB99, 0) | (~v84(constB99, 1))))))),
% 14.46/9.60 inference(transitivity,[status(thm)],[6380, 6378])).
% 14.46/9.60 tff(6382,plain,
% 14.46/9.60 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB99) <=> (~(v84(constB99, 0) | v84(constB99, 2) | (~v84(constB99, 1)))))),
% 14.46/9.60 inference(quant_inst,[status(thm)],[])).
% 14.46/9.60 tff(6383,plain,
% 14.46/9.60 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB99) <=> (~(v84(constB99, 2) | v84(constB99, 0) | (~v84(constB99, 1)))))),
% 14.46/9.60 inference(modus_ponens,[status(thm)],[6382, 6381])).
% 14.46/9.60 tff(6384,plain,
% 14.46/9.60 (v115(constB99) <=> (~(v84(constB99, 2) | v84(constB99, 0) | (~v84(constB99, 1))))),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6383, 985])).
% 14.46/9.60 tff(6385,plain,
% 14.46/9.60 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 14.46/9.60 inference(rewrite,[status(thm)],[])).
% 14.46/9.60 tff(6386,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_98')).
% 14.46/9.60 tff(6387,plain,
% 14.46/9.60 (nextState(constB98, constB99)),
% 14.46/9.60 inference(modus_ponens,[status(thm)],[6386, 6385])).
% 14.46/9.60 tff(6388,plain,
% 14.46/9.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB98, constB99)) | (v94(constB99) <=> (~((~v95(constB99)) | (~v104(constB99))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB98, constB99)) | (v94(constB99) <=> (~((~v95(constB99)) | (~v104(constB99))))))),
% 14.46/9.60 inference(rewrite,[status(thm)],[])).
% 14.46/9.60 tff(6389,plain,
% 14.46/9.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB98, constB99)) | (v94(constB99) <=> (~((~v95(constB99)) | (~v104(constB99))))))),
% 14.46/9.60 inference(quant_inst,[status(thm)],[])).
% 14.46/9.60 tff(6390,plain,
% 14.46/9.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB98, constB99)) | (v94(constB99) <=> (~((~v95(constB99)) | (~v104(constB99)))))),
% 14.46/9.60 inference(modus_ponens,[status(thm)],[6389, 6388])).
% 14.46/9.60 tff(6391,plain,
% 14.46/9.60 (v94(constB99) <=> (~((~v95(constB99)) | (~v104(constB99))))),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6390, 6387, 770])).
% 14.46/9.60 tff(6392,plain,
% 14.46/9.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99))))))),
% 14.46/9.60 inference(rewrite,[status(thm)],[])).
% 14.46/9.60 tff(6393,plain,
% 14.46/9.60 (((~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v96(constB99)) | (~v1(constB99)))))) <=> ((~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99))))))),
% 14.46/9.60 inference(rewrite,[status(thm)],[])).
% 14.46/9.60 tff(6394,plain,
% 14.46/9.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v96(constB99)) | (~v1(constB99))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99)))))))),
% 14.46/9.60 inference(monotonicity,[status(thm)],[6393])).
% 14.46/9.60 tff(6395,plain,
% 14.46/9.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v96(constB99)) | (~v1(constB99))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99))))))),
% 14.46/9.60 inference(transitivity,[status(thm)],[6394, 6392])).
% 14.46/9.60 tff(6396,plain,
% 14.46/9.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v96(constB99)) | (~v1(constB99))))))),
% 14.46/9.60 inference(quant_inst,[status(thm)],[])).
% 14.46/9.60 tff(6397,plain,
% 14.46/9.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99)))))),
% 14.46/9.60 inference(modus_ponens,[status(thm)],[6396, 6395])).
% 14.46/9.60 tff(6398,plain,
% 14.46/9.60 (v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99))))),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6397, 6387, 790])).
% 14.46/9.60 tff(6399,plain,
% 14.46/9.60 ((~v1(constB99)) <=> (~v1(constB99))),
% 14.46/9.60 inference(rewrite,[status(thm)],[])).
% 14.46/9.60 tff(6400,axiom,(~v1(constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_99')).
% 14.46/9.60 tff(6401,plain,
% 14.46/9.60 (~v1(constB99)),
% 14.46/9.60 inference(modus_ponens,[status(thm)],[6400, 6399])).
% 14.46/9.60 tff(6402,plain,
% 14.46/9.60 (((~v1(constB99)) | (~v96(constB99))) | v1(constB99)),
% 14.46/9.60 inference(tautology,[status(thm)],[])).
% 14.46/9.60 tff(6403,plain,
% 14.46/9.60 ((~v1(constB99)) | (~v96(constB99))),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6402, 6401])).
% 14.46/9.60 tff(6404,plain,
% 14.46/9.60 ((~(v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99)))))) | (~v95(constB99)) | (~((~v1(constB99)) | (~v96(constB99))))),
% 14.46/9.60 inference(tautology,[status(thm)],[])).
% 14.46/9.60 tff(6405,plain,
% 14.46/9.60 ((~(v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99)))))) | (~v95(constB99))),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6404, 6403])).
% 14.46/9.60 tff(6406,plain,
% 14.46/9.60 (~v95(constB99)),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6405, 6398])).
% 14.46/9.60 tff(6407,plain,
% 14.46/9.60 (((~v95(constB99)) | (~v104(constB99))) | v95(constB99)),
% 14.46/9.60 inference(tautology,[status(thm)],[])).
% 14.46/9.60 tff(6408,plain,
% 14.46/9.60 ((~v95(constB99)) | (~v104(constB99))),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6407, 6406])).
% 14.46/9.60 tff(6409,plain,
% 14.46/9.60 ((~(v94(constB99) <=> (~((~v95(constB99)) | (~v104(constB99)))))) | (~v94(constB99)) | (~((~v95(constB99)) | (~v104(constB99))))),
% 14.46/9.60 inference(tautology,[status(thm)],[])).
% 14.46/9.60 tff(6410,plain,
% 14.46/9.60 (~v94(constB99)),
% 14.46/9.60 inference(unit_resolution,[status(thm)],[6409, 6408, 6391])).
% 14.46/9.60 tff(6411,plain,
% 14.46/9.60 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB99) | (~nextState(constB98, constB99)) | (~(((~v84(constB99, 1)) <=> v84(constB98, 1)) | ((~v84(constB99, 2)) <=> v84(constB98, 2)) | ((~v84(constB99, 0)) <=> v84(constB98, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB99) | (~nextState(constB98, constB99)) | (~(((~v84(constB99, 1)) <=> v84(constB98, 1)) | ((~v84(constB99, 2)) <=> v84(constB98, 2)) | ((~v84(constB99, 0)) <=> v84(constB98, 0)))))),
% 14.46/9.61 inference(rewrite,[status(thm)],[])).
% 14.46/9.61 tff(6412,plain,
% 14.46/9.61 ((v94(constB99) | (~nextState(constB98, constB99)) | (~(((~v84(constB99, 2)) <=> v84(constB98, 2)) | ((~v84(constB99, 1)) <=> v84(constB98, 1)) | ((~v84(constB99, 0)) <=> v84(constB98, 0))))) <=> (v94(constB99) | (~nextState(constB98, constB99)) | (~(((~v84(constB99, 1)) <=> v84(constB98, 1)) | ((~v84(constB99, 2)) <=> v84(constB98, 2)) | ((~v84(constB99, 0)) <=> v84(constB98, 0)))))),
% 14.46/9.61 inference(rewrite,[status(thm)],[])).
% 14.46/9.61 tff(6413,plain,
% 14.46/9.61 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB99) | (~nextState(constB98, constB99)) | (~(((~v84(constB99, 2)) <=> v84(constB98, 2)) | ((~v84(constB99, 1)) <=> v84(constB98, 1)) | ((~v84(constB99, 0)) <=> v84(constB98, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB99) | (~nextState(constB98, constB99)) | (~(((~v84(constB99, 1)) <=> v84(constB98, 1)) | ((~v84(constB99, 2)) <=> v84(constB98, 2)) | ((~v84(constB99, 0)) <=> v84(constB98, 0))))))),
% 14.46/9.61 inference(monotonicity,[status(thm)],[6412])).
% 14.46/9.61 tff(6414,plain,
% 14.46/9.61 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB99) | (~nextState(constB98, constB99)) | (~(((~v84(constB99, 2)) <=> v84(constB98, 2)) | ((~v84(constB99, 1)) <=> v84(constB98, 1)) | ((~v84(constB99, 0)) <=> v84(constB98, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB99) | (~nextState(constB98, constB99)) | (~(((~v84(constB99, 1)) <=> v84(constB98, 1)) | ((~v84(constB99, 2)) <=> v84(constB98, 2)) | ((~v84(constB99, 0)) <=> v84(constB98, 0)))))),
% 14.46/9.61 inference(transitivity,[status(thm)],[6413, 6411])).
% 14.46/9.61 tff(6415,plain,
% 14.46/9.61 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB99) | (~nextState(constB98, constB99)) | (~(((~v84(constB99, 2)) <=> v84(constB98, 2)) | ((~v84(constB99, 1)) <=> v84(constB98, 1)) | ((~v84(constB99, 0)) <=> v84(constB98, 0)))))),
% 14.46/9.61 inference(quant_inst,[status(thm)],[])).
% 14.46/9.61 tff(6416,plain,
% 14.46/9.61 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB99) | (~nextState(constB98, constB99)) | (~(((~v84(constB99, 1)) <=> v84(constB98, 1)) | ((~v84(constB99, 2)) <=> v84(constB98, 2)) | ((~v84(constB99, 0)) <=> v84(constB98, 0))))),
% 14.46/9.61 inference(modus_ponens,[status(thm)],[6415, 6414])).
% 14.46/9.61 tff(6417,plain,
% 14.46/9.61 (v94(constB99) | (~(((~v84(constB99, 1)) <=> v84(constB98, 1)) | ((~v84(constB99, 2)) <=> v84(constB98, 2)) | ((~v84(constB99, 0)) <=> v84(constB98, 0))))),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6416, 6387, 819])).
% 14.46/9.61 tff(6418,plain,
% 14.46/9.61 (~(((~v84(constB99, 1)) <=> v84(constB98, 1)) | ((~v84(constB99, 2)) <=> v84(constB98, 2)) | ((~v84(constB99, 0)) <=> v84(constB98, 0)))),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6417, 6410])).
% 14.46/9.61 tff(6419,plain,
% 14.46/9.61 ((((~v84(constB99, 1)) <=> v84(constB98, 1)) | ((~v84(constB99, 2)) <=> v84(constB98, 2)) | ((~v84(constB99, 0)) <=> v84(constB98, 0))) | (~((~v84(constB99, 2)) <=> v84(constB98, 2)))),
% 14.46/9.61 inference(tautology,[status(thm)],[])).
% 14.46/9.61 tff(6420,plain,
% 14.46/9.61 (~((~v84(constB99, 2)) <=> v84(constB98, 2))),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6419, 6418])).
% 14.46/9.61 tff(6421,plain,
% 14.46/9.61 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 14.46/9.61 inference(rewrite,[status(thm)],[])).
% 14.46/9.61 tff(6422,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_97')).
% 14.46/9.61 tff(6423,plain,
% 14.46/9.61 (nextState(constB97, constB98)),
% 14.46/9.61 inference(modus_ponens,[status(thm)],[6422, 6421])).
% 14.46/9.61 tff(6424,plain,
% 14.46/9.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB97, constB98)) | (~(((~v123(constB98, 2)) <=> v121(constB97, 2)) | ((~v123(constB98, 1)) <=> v121(constB97, 1)) | ((~v123(constB98, 0)) <=> v121(constB97, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB97, constB98)) | (~(((~v123(constB98, 2)) <=> v121(constB97, 2)) | ((~v123(constB98, 1)) <=> v121(constB97, 1)) | ((~v123(constB98, 0)) <=> v121(constB97, 0)))))),
% 14.46/9.61 inference(rewrite,[status(thm)],[])).
% 14.46/9.61 tff(6425,plain,
% 14.46/9.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB97, constB98)) | (~(((~v123(constB98, 2)) <=> v121(constB97, 2)) | ((~v123(constB98, 1)) <=> v121(constB97, 1)) | ((~v123(constB98, 0)) <=> v121(constB97, 0)))))),
% 14.46/9.61 inference(quant_inst,[status(thm)],[])).
% 14.46/9.61 tff(6426,plain,
% 14.46/9.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB97, constB98)) | (~(((~v123(constB98, 2)) <=> v121(constB97, 2)) | ((~v123(constB98, 1)) <=> v121(constB97, 1)) | ((~v123(constB98, 0)) <=> v121(constB97, 0))))),
% 14.46/9.61 inference(modus_ponens,[status(thm)],[6425, 6424])).
% 14.46/9.61 tff(6427,plain,
% 14.46/9.61 (~(((~v123(constB98, 2)) <=> v121(constB97, 2)) | ((~v123(constB98, 1)) <=> v121(constB97, 1)) | ((~v123(constB98, 0)) <=> v121(constB97, 0)))),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6426, 6423, 842])).
% 14.46/9.61 tff(6428,plain,
% 14.46/9.61 ((((~v123(constB98, 2)) <=> v121(constB97, 2)) | ((~v123(constB98, 1)) <=> v121(constB97, 1)) | ((~v123(constB98, 0)) <=> v121(constB97, 0))) | (~((~v123(constB98, 2)) <=> v121(constB97, 2)))),
% 14.46/9.61 inference(tautology,[status(thm)],[])).
% 14.46/9.61 tff(6429,plain,
% 14.46/9.61 (~((~v123(constB98, 2)) <=> v121(constB97, 2))),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6428, 6427])).
% 14.46/9.61 tff(6430,plain,
% 14.46/9.61 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB97) <=> v26(constB97))),
% 14.46/9.61 inference(quant_inst,[status(thm)],[])).
% 14.46/9.61 tff(6431,plain,
% 14.46/9.61 (v105(constB97) <=> v26(constB97)),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6430, 861])).
% 14.46/9.61 tff(6432,plain,
% 14.46/9.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB97))),
% 14.46/9.61 inference(quant_inst,[status(thm)],[])).
% 14.46/9.61 tff(6433,plain,
% 14.46/9.61 (~v26(constB97)),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6432, 873])).
% 14.46/9.61 tff(6434,plain,
% 14.46/9.61 ((~(v105(constB97) <=> v26(constB97))) | (~v105(constB97)) | v26(constB97)),
% 14.46/9.61 inference(tautology,[status(thm)],[])).
% 14.46/9.61 tff(6435,plain,
% 14.46/9.61 ((~(v105(constB97) <=> v26(constB97))) | (~v105(constB97))),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6434, 6433])).
% 14.46/9.61 tff(6436,plain,
% 14.46/9.61 (~v105(constB97)),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6435, 6431])).
% 14.46/9.61 tff(6437,plain,
% 14.46/9.61 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB97) | (~(((~v121(constB97, 2)) <=> v124(constB97, 2)) | ((~v121(constB97, 0)) <=> v124(constB97, 0)) | ((~v121(constB97, 1)) <=> v124(constB97, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB97) | (~(((~v121(constB97, 2)) <=> v124(constB97, 2)) | ((~v121(constB97, 0)) <=> v124(constB97, 0)) | ((~v121(constB97, 1)) <=> v124(constB97, 1)))))),
% 14.46/9.61 inference(rewrite,[status(thm)],[])).
% 14.46/9.61 tff(6438,plain,
% 14.46/9.61 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB97) | (~(((~v121(constB97, 2)) <=> v124(constB97, 2)) | ((~v121(constB97, 0)) <=> v124(constB97, 0)) | ((~v121(constB97, 1)) <=> v124(constB97, 1)))))),
% 14.46/9.61 inference(quant_inst,[status(thm)],[])).
% 14.46/9.61 tff(6439,plain,
% 14.46/9.61 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB97) | (~(((~v121(constB97, 2)) <=> v124(constB97, 2)) | ((~v121(constB97, 0)) <=> v124(constB97, 0)) | ((~v121(constB97, 1)) <=> v124(constB97, 1))))),
% 14.46/9.61 inference(modus_ponens,[status(thm)],[6438, 6437])).
% 14.46/9.61 tff(6440,plain,
% 14.46/9.61 (v105(constB97) | (~(((~v121(constB97, 2)) <=> v124(constB97, 2)) | ((~v121(constB97, 0)) <=> v124(constB97, 0)) | ((~v121(constB97, 1)) <=> v124(constB97, 1))))),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6439, 891])).
% 14.46/9.61 tff(6441,plain,
% 14.46/9.61 (~(((~v121(constB97, 2)) <=> v124(constB97, 2)) | ((~v121(constB97, 0)) <=> v124(constB97, 0)) | ((~v121(constB97, 1)) <=> v124(constB97, 1)))),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6440, 6436])).
% 14.46/9.61 tff(6442,plain,
% 14.46/9.61 ((((~v121(constB97, 2)) <=> v124(constB97, 2)) | ((~v121(constB97, 0)) <=> v124(constB97, 0)) | ((~v121(constB97, 1)) <=> v124(constB97, 1))) | (~((~v121(constB97, 2)) <=> v124(constB97, 2)))),
% 14.46/9.61 inference(tautology,[status(thm)],[])).
% 14.46/9.61 tff(6443,plain,
% 14.46/9.61 (~((~v121(constB97, 2)) <=> v124(constB97, 2))),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6442, 6441])).
% 14.46/9.61 tff(6444,plain,
% 14.46/9.61 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB97) <=> (~(v84(constB97, 1) | v84(constB97, 2) | (~v84(constB97, 0)))))),
% 14.46/9.61 inference(quant_inst,[status(thm)],[])).
% 14.46/9.61 tff(6445,plain,
% 14.46/9.61 (v114(constB97) <=> (~(v84(constB97, 1) | v84(constB97, 2) | (~v84(constB97, 0))))),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6444, 1064])).
% 14.46/9.61 tff(6446,plain,
% 14.46/9.61 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 14.46/9.61 inference(rewrite,[status(thm)],[])).
% 14.46/9.61 tff(6447,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_96')).
% 14.46/9.61 tff(6448,plain,
% 14.46/9.61 (nextState(constB96, constB97)),
% 14.46/9.61 inference(modus_ponens,[status(thm)],[6447, 6446])).
% 14.46/9.61 tff(6449,plain,
% 14.46/9.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB96, constB97)) | (v94(constB97) <=> (~((~v95(constB97)) | (~v104(constB97))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB96, constB97)) | (v94(constB97) <=> (~((~v95(constB97)) | (~v104(constB97))))))),
% 14.46/9.61 inference(rewrite,[status(thm)],[])).
% 14.46/9.61 tff(6450,plain,
% 14.46/9.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB96, constB97)) | (v94(constB97) <=> (~((~v95(constB97)) | (~v104(constB97))))))),
% 14.46/9.61 inference(quant_inst,[status(thm)],[])).
% 14.46/9.61 tff(6451,plain,
% 14.46/9.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB96, constB97)) | (v94(constB97) <=> (~((~v95(constB97)) | (~v104(constB97)))))),
% 14.46/9.61 inference(modus_ponens,[status(thm)],[6450, 6449])).
% 14.46/9.61 tff(6452,plain,
% 14.46/9.61 (v94(constB97) <=> (~((~v95(constB97)) | (~v104(constB97))))),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6451, 6448, 770])).
% 14.46/9.61 tff(6453,plain,
% 14.46/9.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97))))))),
% 14.46/9.61 inference(rewrite,[status(thm)],[])).
% 14.46/9.61 tff(6454,plain,
% 14.46/9.61 (((~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v96(constB97)) | (~v1(constB97)))))) <=> ((~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97))))))),
% 14.46/9.61 inference(rewrite,[status(thm)],[])).
% 14.46/9.61 tff(6455,plain,
% 14.46/9.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v96(constB97)) | (~v1(constB97))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97)))))))),
% 14.46/9.61 inference(monotonicity,[status(thm)],[6454])).
% 14.46/9.61 tff(6456,plain,
% 14.46/9.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v96(constB97)) | (~v1(constB97))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97))))))),
% 14.46/9.61 inference(transitivity,[status(thm)],[6455, 6453])).
% 14.46/9.61 tff(6457,plain,
% 14.46/9.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v96(constB97)) | (~v1(constB97))))))),
% 14.46/9.61 inference(quant_inst,[status(thm)],[])).
% 14.46/9.61 tff(6458,plain,
% 14.46/9.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97)))))),
% 14.46/9.61 inference(modus_ponens,[status(thm)],[6457, 6456])).
% 14.46/9.61 tff(6459,plain,
% 14.46/9.61 (v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97))))),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6458, 6448, 790])).
% 14.46/9.61 tff(6460,plain,
% 14.46/9.61 ((~v1(constB97)) <=> (~v1(constB97))),
% 14.46/9.61 inference(rewrite,[status(thm)],[])).
% 14.46/9.61 tff(6461,axiom,(~v1(constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_97')).
% 14.46/9.61 tff(6462,plain,
% 14.46/9.61 (~v1(constB97)),
% 14.46/9.61 inference(modus_ponens,[status(thm)],[6461, 6460])).
% 14.46/9.61 tff(6463,plain,
% 14.46/9.61 (((~v1(constB97)) | (~v96(constB97))) | v1(constB97)),
% 14.46/9.61 inference(tautology,[status(thm)],[])).
% 14.46/9.61 tff(6464,plain,
% 14.46/9.61 ((~v1(constB97)) | (~v96(constB97))),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6463, 6462])).
% 14.46/9.61 tff(6465,plain,
% 14.46/9.61 ((~(v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97)))))) | (~v95(constB97)) | (~((~v1(constB97)) | (~v96(constB97))))),
% 14.46/9.61 inference(tautology,[status(thm)],[])).
% 14.46/9.61 tff(6466,plain,
% 14.46/9.61 ((~(v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97)))))) | (~v95(constB97))),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6465, 6464])).
% 14.46/9.61 tff(6467,plain,
% 14.46/9.61 (~v95(constB97)),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6466, 6459])).
% 14.46/9.61 tff(6468,plain,
% 14.46/9.61 (((~v95(constB97)) | (~v104(constB97))) | v95(constB97)),
% 14.46/9.61 inference(tautology,[status(thm)],[])).
% 14.46/9.61 tff(6469,plain,
% 14.46/9.61 ((~v95(constB97)) | (~v104(constB97))),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6468, 6467])).
% 14.46/9.61 tff(6470,plain,
% 14.46/9.61 ((~(v94(constB97) <=> (~((~v95(constB97)) | (~v104(constB97)))))) | (~v94(constB97)) | (~((~v95(constB97)) | (~v104(constB97))))),
% 14.46/9.61 inference(tautology,[status(thm)],[])).
% 14.46/9.61 tff(6471,plain,
% 14.46/9.61 (~v94(constB97)),
% 14.46/9.61 inference(unit_resolution,[status(thm)],[6470, 6469, 6452])).
% 14.46/9.61 tff(6472,plain,
% 14.46/9.61 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB97) | (~nextState(constB96, constB97)) | (~(((~v84(constB97, 1)) <=> v84(constB96, 1)) | ((~v84(constB97, 2)) <=> v84(constB96, 2)) | ((~v84(constB97, 0)) <=> v84(constB96, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB97) | (~nextState(constB96, constB97)) | (~(((~v84(constB97, 1)) <=> v84(constB96, 1)) | ((~v84(constB97, 2)) <=> v84(constB96, 2)) | ((~v84(constB97, 0)) <=> v84(constB96, 0)))))),
% 14.46/9.61 inference(rewrite,[status(thm)],[])).
% 14.46/9.61 tff(6473,plain,
% 14.46/9.61 ((v94(constB97) | (~nextState(constB96, constB97)) | (~(((~v84(constB97, 2)) <=> v84(constB96, 2)) | ((~v84(constB97, 1)) <=> v84(constB96, 1)) | ((~v84(constB97, 0)) <=> v84(constB96, 0))))) <=> (v94(constB97) | (~nextState(constB96, constB97)) | (~(((~v84(constB97, 1)) <=> v84(constB96, 1)) | ((~v84(constB97, 2)) <=> v84(constB96, 2)) | ((~v84(constB97, 0)) <=> v84(constB96, 0)))))),
% 14.46/9.61 inference(rewrite,[status(thm)],[])).
% 14.46/9.61 tff(6474,plain,
% 14.46/9.61 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB97) | (~nextState(constB96, constB97)) | (~(((~v84(constB97, 2)) <=> v84(constB96, 2)) | ((~v84(constB97, 1)) <=> v84(constB96, 1)) | ((~v84(constB97, 0)) <=> v84(constB96, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB97) | (~nextState(constB96, constB97)) | (~(((~v84(constB97, 1)) <=> v84(constB96, 1)) | ((~v84(constB97, 2)) <=> v84(constB96, 2)) | ((~v84(constB97, 0)) <=> v84(constB96, 0))))))),
% 14.46/9.61 inference(monotonicity,[status(thm)],[6473])).
% 14.46/9.61 tff(6475,plain,
% 14.46/9.61 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB97) | (~nextState(constB96, constB97)) | (~(((~v84(constB97, 2)) <=> v84(constB96, 2)) | ((~v84(constB97, 1)) <=> v84(constB96, 1)) | ((~v84(constB97, 0)) <=> v84(constB96, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB97) | (~nextState(constB96, constB97)) | (~(((~v84(constB97, 1)) <=> v84(constB96, 1)) | ((~v84(constB97, 2)) <=> v84(constB96, 2)) | ((~v84(constB97, 0)) <=> v84(constB96, 0)))))),
% 14.46/9.61 inference(transitivity,[status(thm)],[6474, 6472])).
% 14.46/9.61 tff(6476,plain,
% 14.46/9.61 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB97) | (~nextState(constB96, constB97)) | (~(((~v84(constB97, 2)) <=> v84(constB96, 2)) | ((~v84(constB97, 1)) <=> v84(constB96, 1)) | ((~v84(constB97, 0)) <=> v84(constB96, 0)))))),
% 14.46/9.62 inference(quant_inst,[status(thm)],[])).
% 14.46/9.62 tff(6477,plain,
% 14.46/9.62 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB97) | (~nextState(constB96, constB97)) | (~(((~v84(constB97, 1)) <=> v84(constB96, 1)) | ((~v84(constB97, 2)) <=> v84(constB96, 2)) | ((~v84(constB97, 0)) <=> v84(constB96, 0))))),
% 14.46/9.62 inference(modus_ponens,[status(thm)],[6476, 6475])).
% 14.46/9.62 tff(6478,plain,
% 14.46/9.62 (v94(constB97) | (~(((~v84(constB97, 1)) <=> v84(constB96, 1)) | ((~v84(constB97, 2)) <=> v84(constB96, 2)) | ((~v84(constB97, 0)) <=> v84(constB96, 0))))),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6477, 6448, 819])).
% 14.46/9.62 tff(6479,plain,
% 14.46/9.62 (~(((~v84(constB97, 1)) <=> v84(constB96, 1)) | ((~v84(constB97, 2)) <=> v84(constB96, 2)) | ((~v84(constB97, 0)) <=> v84(constB96, 0)))),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6478, 6471])).
% 14.46/9.62 tff(6480,plain,
% 14.46/9.62 ((((~v84(constB97, 1)) <=> v84(constB96, 1)) | ((~v84(constB97, 2)) <=> v84(constB96, 2)) | ((~v84(constB97, 0)) <=> v84(constB96, 0))) | (~((~v84(constB97, 2)) <=> v84(constB96, 2)))),
% 14.46/9.62 inference(tautology,[status(thm)],[])).
% 14.46/9.62 tff(6481,plain,
% 14.46/9.62 (~((~v84(constB97, 2)) <=> v84(constB96, 2))),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6480, 6479])).
% 14.46/9.62 tff(6482,plain,
% 14.46/9.62 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 14.46/9.62 inference(rewrite,[status(thm)],[])).
% 14.46/9.62 tff(6483,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_95')).
% 14.46/9.62 tff(6484,plain,
% 14.46/9.62 (nextState(constB95, constB96)),
% 14.46/9.62 inference(modus_ponens,[status(thm)],[6483, 6482])).
% 14.46/9.62 tff(6485,plain,
% 14.46/9.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB95, constB96)) | (~(((~v123(constB96, 2)) <=> v121(constB95, 2)) | ((~v123(constB96, 1)) <=> v121(constB95, 1)) | ((~v123(constB96, 0)) <=> v121(constB95, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB95, constB96)) | (~(((~v123(constB96, 2)) <=> v121(constB95, 2)) | ((~v123(constB96, 1)) <=> v121(constB95, 1)) | ((~v123(constB96, 0)) <=> v121(constB95, 0)))))),
% 14.46/9.62 inference(rewrite,[status(thm)],[])).
% 14.46/9.62 tff(6486,plain,
% 14.46/9.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB95, constB96)) | (~(((~v123(constB96, 2)) <=> v121(constB95, 2)) | ((~v123(constB96, 1)) <=> v121(constB95, 1)) | ((~v123(constB96, 0)) <=> v121(constB95, 0)))))),
% 14.46/9.62 inference(quant_inst,[status(thm)],[])).
% 14.46/9.62 tff(6487,plain,
% 14.46/9.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB95, constB96)) | (~(((~v123(constB96, 2)) <=> v121(constB95, 2)) | ((~v123(constB96, 1)) <=> v121(constB95, 1)) | ((~v123(constB96, 0)) <=> v121(constB95, 0))))),
% 14.46/9.62 inference(modus_ponens,[status(thm)],[6486, 6485])).
% 14.46/9.62 tff(6488,plain,
% 14.46/9.62 (~(((~v123(constB96, 2)) <=> v121(constB95, 2)) | ((~v123(constB96, 1)) <=> v121(constB95, 1)) | ((~v123(constB96, 0)) <=> v121(constB95, 0)))),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6487, 6484, 842])).
% 14.46/9.62 tff(6489,plain,
% 14.46/9.62 ((((~v123(constB96, 2)) <=> v121(constB95, 2)) | ((~v123(constB96, 1)) <=> v121(constB95, 1)) | ((~v123(constB96, 0)) <=> v121(constB95, 0))) | (~((~v123(constB96, 2)) <=> v121(constB95, 2)))),
% 14.46/9.62 inference(tautology,[status(thm)],[])).
% 14.46/9.62 tff(6490,plain,
% 14.46/9.62 (~((~v123(constB96, 2)) <=> v121(constB95, 2))),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6489, 6488])).
% 14.46/9.62 tff(6491,plain,
% 14.46/9.62 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB95) <=> v26(constB95))),
% 14.46/9.62 inference(quant_inst,[status(thm)],[])).
% 14.46/9.62 tff(6492,plain,
% 14.46/9.62 (v105(constB95) <=> v26(constB95)),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6491, 861])).
% 14.46/9.62 tff(6493,plain,
% 14.46/9.62 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB95))),
% 14.46/9.62 inference(quant_inst,[status(thm)],[])).
% 14.46/9.62 tff(6494,plain,
% 14.46/9.62 (~v26(constB95)),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6493, 873])).
% 14.46/9.62 tff(6495,plain,
% 14.46/9.62 ((~(v105(constB95) <=> v26(constB95))) | (~v105(constB95)) | v26(constB95)),
% 14.46/9.62 inference(tautology,[status(thm)],[])).
% 14.46/9.62 tff(6496,plain,
% 14.46/9.62 ((~(v105(constB95) <=> v26(constB95))) | (~v105(constB95))),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6495, 6494])).
% 14.46/9.62 tff(6497,plain,
% 14.46/9.62 (~v105(constB95)),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6496, 6492])).
% 14.46/9.62 tff(6498,plain,
% 14.46/9.62 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB95) | (~(((~v121(constB95, 2)) <=> v124(constB95, 2)) | ((~v121(constB95, 0)) <=> v124(constB95, 0)) | ((~v121(constB95, 1)) <=> v124(constB95, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB95) | (~(((~v121(constB95, 2)) <=> v124(constB95, 2)) | ((~v121(constB95, 0)) <=> v124(constB95, 0)) | ((~v121(constB95, 1)) <=> v124(constB95, 1)))))),
% 14.46/9.62 inference(rewrite,[status(thm)],[])).
% 14.46/9.62 tff(6499,plain,
% 14.46/9.62 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB95) | (~(((~v121(constB95, 2)) <=> v124(constB95, 2)) | ((~v121(constB95, 0)) <=> v124(constB95, 0)) | ((~v121(constB95, 1)) <=> v124(constB95, 1)))))),
% 14.46/9.62 inference(quant_inst,[status(thm)],[])).
% 14.46/9.62 tff(6500,plain,
% 14.46/9.62 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB95) | (~(((~v121(constB95, 2)) <=> v124(constB95, 2)) | ((~v121(constB95, 0)) <=> v124(constB95, 0)) | ((~v121(constB95, 1)) <=> v124(constB95, 1))))),
% 14.46/9.62 inference(modus_ponens,[status(thm)],[6499, 6498])).
% 14.46/9.62 tff(6501,plain,
% 14.46/9.62 (v105(constB95) | (~(((~v121(constB95, 2)) <=> v124(constB95, 2)) | ((~v121(constB95, 0)) <=> v124(constB95, 0)) | ((~v121(constB95, 1)) <=> v124(constB95, 1))))),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6500, 891])).
% 14.46/9.62 tff(6502,plain,
% 14.46/9.62 (~(((~v121(constB95, 2)) <=> v124(constB95, 2)) | ((~v121(constB95, 0)) <=> v124(constB95, 0)) | ((~v121(constB95, 1)) <=> v124(constB95, 1)))),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6501, 6497])).
% 14.46/9.62 tff(6503,plain,
% 14.46/9.62 ((((~v121(constB95, 2)) <=> v124(constB95, 2)) | ((~v121(constB95, 0)) <=> v124(constB95, 0)) | ((~v121(constB95, 1)) <=> v124(constB95, 1))) | (~((~v121(constB95, 2)) <=> v124(constB95, 2)))),
% 14.46/9.62 inference(tautology,[status(thm)],[])).
% 14.46/9.62 tff(6504,plain,
% 14.46/9.62 (~((~v121(constB95, 2)) <=> v124(constB95, 2))),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6503, 6502])).
% 14.46/9.62 tff(6505,plain,
% 14.46/9.62 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB95) <=> (~(v84(constB95, 1) | v84(constB95, 2) | (~v84(constB95, 0)))))),
% 14.46/9.62 inference(quant_inst,[status(thm)],[])).
% 14.46/9.62 tff(6506,plain,
% 14.46/9.62 (v114(constB95) <=> (~(v84(constB95, 1) | v84(constB95, 2) | (~v84(constB95, 0))))),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6505, 1064])).
% 14.46/9.62 tff(6507,plain,
% 14.46/9.62 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 14.46/9.62 inference(rewrite,[status(thm)],[])).
% 14.46/9.62 tff(6508,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_94')).
% 14.46/9.62 tff(6509,plain,
% 14.46/9.62 (nextState(constB94, constB95)),
% 14.46/9.62 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 14.46/9.62 tff(6510,plain,
% 14.46/9.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB94, constB95)) | (v94(constB95) <=> (~((~v95(constB95)) | (~v104(constB95))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB94, constB95)) | (v94(constB95) <=> (~((~v95(constB95)) | (~v104(constB95))))))),
% 14.46/9.62 inference(rewrite,[status(thm)],[])).
% 14.46/9.62 tff(6511,plain,
% 14.46/9.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB94, constB95)) | (v94(constB95) <=> (~((~v95(constB95)) | (~v104(constB95))))))),
% 14.46/9.62 inference(quant_inst,[status(thm)],[])).
% 14.46/9.62 tff(6512,plain,
% 14.46/9.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB94, constB95)) | (v94(constB95) <=> (~((~v95(constB95)) | (~v104(constB95)))))),
% 14.46/9.62 inference(modus_ponens,[status(thm)],[6511, 6510])).
% 14.46/9.62 tff(6513,plain,
% 14.46/9.62 (v94(constB95) <=> (~((~v95(constB95)) | (~v104(constB95))))),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6512, 6509, 770])).
% 14.46/9.62 tff(6514,plain,
% 14.46/9.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95))))))),
% 14.46/9.62 inference(rewrite,[status(thm)],[])).
% 14.46/9.62 tff(6515,plain,
% 14.46/9.62 (((~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v96(constB95)) | (~v1(constB95)))))) <=> ((~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95))))))),
% 14.46/9.62 inference(rewrite,[status(thm)],[])).
% 14.46/9.62 tff(6516,plain,
% 14.46/9.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v96(constB95)) | (~v1(constB95))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95)))))))),
% 14.46/9.62 inference(monotonicity,[status(thm)],[6515])).
% 14.46/9.62 tff(6517,plain,
% 14.46/9.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v96(constB95)) | (~v1(constB95))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95))))))),
% 14.46/9.62 inference(transitivity,[status(thm)],[6516, 6514])).
% 14.46/9.62 tff(6518,plain,
% 14.46/9.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v96(constB95)) | (~v1(constB95))))))),
% 14.46/9.62 inference(quant_inst,[status(thm)],[])).
% 14.46/9.62 tff(6519,plain,
% 14.46/9.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95)))))),
% 14.46/9.62 inference(modus_ponens,[status(thm)],[6518, 6517])).
% 14.46/9.62 tff(6520,plain,
% 14.46/9.62 (v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95))))),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6519, 6509, 790])).
% 14.46/9.62 tff(6521,plain,
% 14.46/9.62 ((~v1(constB95)) <=> (~v1(constB95))),
% 14.46/9.62 inference(rewrite,[status(thm)],[])).
% 14.46/9.62 tff(6522,axiom,(~v1(constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_95')).
% 14.46/9.62 tff(6523,plain,
% 14.46/9.62 (~v1(constB95)),
% 14.46/9.62 inference(modus_ponens,[status(thm)],[6522, 6521])).
% 14.46/9.62 tff(6524,plain,
% 14.46/9.62 (((~v1(constB95)) | (~v96(constB95))) | v1(constB95)),
% 14.46/9.62 inference(tautology,[status(thm)],[])).
% 14.46/9.62 tff(6525,plain,
% 14.46/9.62 ((~v1(constB95)) | (~v96(constB95))),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6524, 6523])).
% 14.46/9.62 tff(6526,plain,
% 14.46/9.62 ((~(v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95)))))) | (~v95(constB95)) | (~((~v1(constB95)) | (~v96(constB95))))),
% 14.46/9.62 inference(tautology,[status(thm)],[])).
% 14.46/9.62 tff(6527,plain,
% 14.46/9.62 ((~(v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95)))))) | (~v95(constB95))),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6526, 6525])).
% 14.46/9.62 tff(6528,plain,
% 14.46/9.62 (~v95(constB95)),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6527, 6520])).
% 14.46/9.62 tff(6529,plain,
% 14.46/9.62 (((~v95(constB95)) | (~v104(constB95))) | v95(constB95)),
% 14.46/9.62 inference(tautology,[status(thm)],[])).
% 14.46/9.62 tff(6530,plain,
% 14.46/9.62 ((~v95(constB95)) | (~v104(constB95))),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6529, 6528])).
% 14.46/9.62 tff(6531,plain,
% 14.46/9.62 ((~(v94(constB95) <=> (~((~v95(constB95)) | (~v104(constB95)))))) | (~v94(constB95)) | (~((~v95(constB95)) | (~v104(constB95))))),
% 14.46/9.62 inference(tautology,[status(thm)],[])).
% 14.46/9.62 tff(6532,plain,
% 14.46/9.62 (~v94(constB95)),
% 14.46/9.62 inference(unit_resolution,[status(thm)],[6531, 6530, 6513])).
% 14.46/9.62 tff(6533,plain,
% 14.46/9.62 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB95) | (~nextState(constB94, constB95)) | (~(((~v84(constB95, 1)) <=> v84(constB94, 1)) | ((~v84(constB95, 2)) <=> v84(constB94, 2)) | ((~v84(constB95, 0)) <=> v84(constB94, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB95) | (~nextState(constB94, constB95)) | (~(((~v84(constB95, 1)) <=> v84(constB94, 1)) | ((~v84(constB95, 2)) <=> v84(constB94, 2)) | ((~v84(constB95, 0)) <=> v84(constB94, 0)))))),
% 14.46/9.62 inference(rewrite,[status(thm)],[])).
% 14.46/9.62 tff(6534,plain,
% 14.46/9.62 ((v94(constB95) | (~nextState(constB94, constB95)) | (~(((~v84(constB95, 2)) <=> v84(constB94, 2)) | ((~v84(constB95, 1)) <=> v84(constB94, 1)) | ((~v84(constB95, 0)) <=> v84(constB94, 0))))) <=> (v94(constB95) | (~nextState(constB94, constB95)) | (~(((~v84(constB95, 1)) <=> v84(constB94, 1)) | ((~v84(constB95, 2)) <=> v84(constB94, 2)) | ((~v84(constB95, 0)) <=> v84(constB94, 0)))))),
% 14.46/9.62 inference(rewrite,[status(thm)],[])).
% 14.46/9.62 tff(6535,plain,
% 14.46/9.62 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB95) | (~nextState(constB94, constB95)) | (~(((~v84(constB95, 2)) <=> v84(constB94, 2)) | ((~v84(constB95, 1)) <=> v84(constB94, 1)) | ((~v84(constB95, 0)) <=> v84(constB94, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB95) | (~nextState(constB94, constB95)) | (~(((~v84(constB95, 1)) <=> v84(constB94, 1)) | ((~v84(constB95, 2)) <=> v84(constB94, 2)) | ((~v84(constB95, 0)) <=> v84(constB94, 0))))))),
% 14.46/9.63 inference(monotonicity,[status(thm)],[6534])).
% 14.46/9.63 tff(6536,plain,
% 14.46/9.63 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB95) | (~nextState(constB94, constB95)) | (~(((~v84(constB95, 2)) <=> v84(constB94, 2)) | ((~v84(constB95, 1)) <=> v84(constB94, 1)) | ((~v84(constB95, 0)) <=> v84(constB94, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB95) | (~nextState(constB94, constB95)) | (~(((~v84(constB95, 1)) <=> v84(constB94, 1)) | ((~v84(constB95, 2)) <=> v84(constB94, 2)) | ((~v84(constB95, 0)) <=> v84(constB94, 0)))))),
% 14.46/9.63 inference(transitivity,[status(thm)],[6535, 6533])).
% 14.46/9.63 tff(6537,plain,
% 14.46/9.63 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB95) | (~nextState(constB94, constB95)) | (~(((~v84(constB95, 2)) <=> v84(constB94, 2)) | ((~v84(constB95, 1)) <=> v84(constB94, 1)) | ((~v84(constB95, 0)) <=> v84(constB94, 0)))))),
% 14.46/9.63 inference(quant_inst,[status(thm)],[])).
% 14.46/9.63 tff(6538,plain,
% 14.46/9.63 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB95) | (~nextState(constB94, constB95)) | (~(((~v84(constB95, 1)) <=> v84(constB94, 1)) | ((~v84(constB95, 2)) <=> v84(constB94, 2)) | ((~v84(constB95, 0)) <=> v84(constB94, 0))))),
% 14.46/9.63 inference(modus_ponens,[status(thm)],[6537, 6536])).
% 14.46/9.63 tff(6539,plain,
% 14.46/9.63 (v94(constB95) | (~(((~v84(constB95, 1)) <=> v84(constB94, 1)) | ((~v84(constB95, 2)) <=> v84(constB94, 2)) | ((~v84(constB95, 0)) <=> v84(constB94, 0))))),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6538, 6509, 819])).
% 14.46/9.63 tff(6540,plain,
% 14.46/9.63 (~(((~v84(constB95, 1)) <=> v84(constB94, 1)) | ((~v84(constB95, 2)) <=> v84(constB94, 2)) | ((~v84(constB95, 0)) <=> v84(constB94, 0)))),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6539, 6532])).
% 14.46/9.63 tff(6541,plain,
% 14.46/9.63 ((((~v84(constB95, 1)) <=> v84(constB94, 1)) | ((~v84(constB95, 2)) <=> v84(constB94, 2)) | ((~v84(constB95, 0)) <=> v84(constB94, 0))) | (~((~v84(constB95, 0)) <=> v84(constB94, 0)))),
% 14.46/9.63 inference(tautology,[status(thm)],[])).
% 14.46/9.63 tff(6542,plain,
% 14.46/9.63 (~((~v84(constB95, 0)) <=> v84(constB94, 0))),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6541, 6540])).
% 14.46/9.63 tff(6543,plain,
% 14.46/9.63 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 14.46/9.63 inference(rewrite,[status(thm)],[])).
% 14.46/9.63 tff(6544,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_93')).
% 14.46/9.63 tff(6545,plain,
% 14.46/9.63 (nextState(constB93, constB94)),
% 14.46/9.63 inference(modus_ponens,[status(thm)],[6544, 6543])).
% 14.46/9.63 tff(6546,plain,
% 14.46/9.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB93, constB94)) | (~(((~v123(constB94, 2)) <=> v121(constB93, 2)) | ((~v123(constB94, 1)) <=> v121(constB93, 1)) | ((~v123(constB94, 0)) <=> v121(constB93, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB93, constB94)) | (~(((~v123(constB94, 2)) <=> v121(constB93, 2)) | ((~v123(constB94, 1)) <=> v121(constB93, 1)) | ((~v123(constB94, 0)) <=> v121(constB93, 0)))))),
% 14.46/9.63 inference(rewrite,[status(thm)],[])).
% 14.46/9.63 tff(6547,plain,
% 14.46/9.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB93, constB94)) | (~(((~v123(constB94, 2)) <=> v121(constB93, 2)) | ((~v123(constB94, 1)) <=> v121(constB93, 1)) | ((~v123(constB94, 0)) <=> v121(constB93, 0)))))),
% 14.46/9.63 inference(quant_inst,[status(thm)],[])).
% 14.46/9.63 tff(6548,plain,
% 14.46/9.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB93, constB94)) | (~(((~v123(constB94, 2)) <=> v121(constB93, 2)) | ((~v123(constB94, 1)) <=> v121(constB93, 1)) | ((~v123(constB94, 0)) <=> v121(constB93, 0))))),
% 14.46/9.63 inference(modus_ponens,[status(thm)],[6547, 6546])).
% 14.46/9.63 tff(6549,plain,
% 14.46/9.63 (~(((~v123(constB94, 2)) <=> v121(constB93, 2)) | ((~v123(constB94, 1)) <=> v121(constB93, 1)) | ((~v123(constB94, 0)) <=> v121(constB93, 0)))),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6548, 6545, 842])).
% 14.46/9.63 tff(6550,plain,
% 14.46/9.63 ((((~v123(constB94, 2)) <=> v121(constB93, 2)) | ((~v123(constB94, 1)) <=> v121(constB93, 1)) | ((~v123(constB94, 0)) <=> v121(constB93, 0))) | (~((~v123(constB94, 0)) <=> v121(constB93, 0)))),
% 14.46/9.63 inference(tautology,[status(thm)],[])).
% 14.46/9.63 tff(6551,plain,
% 14.46/9.63 (~((~v123(constB94, 0)) <=> v121(constB93, 0))),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6550, 6549])).
% 14.46/9.63 tff(6552,plain,
% 14.46/9.63 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB93) <=> v26(constB93))),
% 14.46/9.63 inference(quant_inst,[status(thm)],[])).
% 14.46/9.63 tff(6553,plain,
% 14.46/9.63 (v105(constB93) <=> v26(constB93)),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6552, 861])).
% 14.46/9.63 tff(6554,plain,
% 14.46/9.63 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB93))),
% 14.46/9.63 inference(quant_inst,[status(thm)],[])).
% 14.46/9.63 tff(6555,plain,
% 14.46/9.63 (~v26(constB93)),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6554, 873])).
% 14.46/9.63 tff(6556,plain,
% 14.46/9.63 ((~(v105(constB93) <=> v26(constB93))) | (~v105(constB93)) | v26(constB93)),
% 14.46/9.63 inference(tautology,[status(thm)],[])).
% 14.46/9.63 tff(6557,plain,
% 14.46/9.63 ((~(v105(constB93) <=> v26(constB93))) | (~v105(constB93))),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6556, 6555])).
% 14.46/9.63 tff(6558,plain,
% 14.46/9.63 (~v105(constB93)),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6557, 6553])).
% 14.46/9.63 tff(6559,plain,
% 14.46/9.63 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB93) | (~(((~v121(constB93, 2)) <=> v124(constB93, 2)) | ((~v121(constB93, 0)) <=> v124(constB93, 0)) | ((~v121(constB93, 1)) <=> v124(constB93, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB93) | (~(((~v121(constB93, 2)) <=> v124(constB93, 2)) | ((~v121(constB93, 0)) <=> v124(constB93, 0)) | ((~v121(constB93, 1)) <=> v124(constB93, 1)))))),
% 14.46/9.63 inference(rewrite,[status(thm)],[])).
% 14.46/9.63 tff(6560,plain,
% 14.46/9.63 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB93) | (~(((~v121(constB93, 2)) <=> v124(constB93, 2)) | ((~v121(constB93, 0)) <=> v124(constB93, 0)) | ((~v121(constB93, 1)) <=> v124(constB93, 1)))))),
% 14.46/9.63 inference(quant_inst,[status(thm)],[])).
% 14.46/9.63 tff(6561,plain,
% 14.46/9.63 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB93) | (~(((~v121(constB93, 2)) <=> v124(constB93, 2)) | ((~v121(constB93, 0)) <=> v124(constB93, 0)) | ((~v121(constB93, 1)) <=> v124(constB93, 1))))),
% 14.46/9.63 inference(modus_ponens,[status(thm)],[6560, 6559])).
% 14.46/9.63 tff(6562,plain,
% 14.46/9.63 (v105(constB93) | (~(((~v121(constB93, 2)) <=> v124(constB93, 2)) | ((~v121(constB93, 0)) <=> v124(constB93, 0)) | ((~v121(constB93, 1)) <=> v124(constB93, 1))))),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6561, 891])).
% 14.46/9.63 tff(6563,plain,
% 14.46/9.63 (~(((~v121(constB93, 2)) <=> v124(constB93, 2)) | ((~v121(constB93, 0)) <=> v124(constB93, 0)) | ((~v121(constB93, 1)) <=> v124(constB93, 1)))),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6562, 6558])).
% 14.46/9.63 tff(6564,plain,
% 14.46/9.63 ((((~v121(constB93, 2)) <=> v124(constB93, 2)) | ((~v121(constB93, 0)) <=> v124(constB93, 0)) | ((~v121(constB93, 1)) <=> v124(constB93, 1))) | (~((~v121(constB93, 0)) <=> v124(constB93, 0)))),
% 14.46/9.63 inference(tautology,[status(thm)],[])).
% 14.46/9.63 tff(6565,plain,
% 14.46/9.63 (~((~v121(constB93, 0)) <=> v124(constB93, 0))),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6564, 6563])).
% 14.46/9.63 tff(6566,plain,
% 14.46/9.63 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB93) <=> (~(v84(constB93, 1) | v84(constB93, 0) | (~v84(constB93, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB93) <=> (~(v84(constB93, 1) | v84(constB93, 0) | (~v84(constB93, 2))))))),
% 14.46/9.63 inference(rewrite,[status(thm)],[])).
% 14.46/9.63 tff(6567,plain,
% 14.46/9.63 ((v117(constB93) <=> (~(v84(constB93, 0) | v84(constB93, 1) | (~v84(constB93, 2))))) <=> (v117(constB93) <=> (~(v84(constB93, 1) | v84(constB93, 0) | (~v84(constB93, 2)))))),
% 14.46/9.63 inference(rewrite,[status(thm)],[])).
% 14.46/9.63 tff(6568,plain,
% 14.46/9.63 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB93) <=> (~(v84(constB93, 0) | v84(constB93, 1) | (~v84(constB93, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB93) <=> (~(v84(constB93, 1) | v84(constB93, 0) | (~v84(constB93, 2))))))),
% 14.46/9.63 inference(monotonicity,[status(thm)],[6567])).
% 14.46/9.63 tff(6569,plain,
% 14.46/9.63 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB93) <=> (~(v84(constB93, 0) | v84(constB93, 1) | (~v84(constB93, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB93) <=> (~(v84(constB93, 1) | v84(constB93, 0) | (~v84(constB93, 2))))))),
% 14.46/9.63 inference(transitivity,[status(thm)],[6568, 6566])).
% 14.46/9.63 tff(6570,plain,
% 14.46/9.63 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB93) <=> (~(v84(constB93, 0) | v84(constB93, 1) | (~v84(constB93, 2)))))),
% 14.46/9.63 inference(quant_inst,[status(thm)],[])).
% 14.46/9.63 tff(6571,plain,
% 14.46/9.63 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB93) <=> (~(v84(constB93, 1) | v84(constB93, 0) | (~v84(constB93, 2)))))),
% 14.46/9.63 inference(modus_ponens,[status(thm)],[6570, 6569])).
% 14.46/9.63 tff(6572,plain,
% 14.46/9.63 (v117(constB93) <=> (~(v84(constB93, 1) | v84(constB93, 0) | (~v84(constB93, 2))))),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6571, 1199])).
% 14.46/9.63 tff(6573,plain,
% 14.46/9.63 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 14.46/9.63 inference(rewrite,[status(thm)],[])).
% 14.46/9.63 tff(6574,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_92')).
% 14.46/9.63 tff(6575,plain,
% 14.46/9.63 (nextState(constB92, constB93)),
% 14.46/9.63 inference(modus_ponens,[status(thm)],[6574, 6573])).
% 14.46/9.63 tff(6576,plain,
% 14.46/9.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB92, constB93)) | (v94(constB93) <=> (~((~v95(constB93)) | (~v104(constB93))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB92, constB93)) | (v94(constB93) <=> (~((~v95(constB93)) | (~v104(constB93))))))),
% 14.46/9.63 inference(rewrite,[status(thm)],[])).
% 14.46/9.63 tff(6577,plain,
% 14.46/9.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB92, constB93)) | (v94(constB93) <=> (~((~v95(constB93)) | (~v104(constB93))))))),
% 14.46/9.63 inference(quant_inst,[status(thm)],[])).
% 14.46/9.63 tff(6578,plain,
% 14.46/9.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB92, constB93)) | (v94(constB93) <=> (~((~v95(constB93)) | (~v104(constB93)))))),
% 14.46/9.63 inference(modus_ponens,[status(thm)],[6577, 6576])).
% 14.46/9.63 tff(6579,plain,
% 14.46/9.63 (v94(constB93) <=> (~((~v95(constB93)) | (~v104(constB93))))),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6578, 6575, 770])).
% 14.46/9.63 tff(6580,plain,
% 14.46/9.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93))))))),
% 14.46/9.63 inference(rewrite,[status(thm)],[])).
% 14.46/9.63 tff(6581,plain,
% 14.46/9.63 (((~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v96(constB93)) | (~v1(constB93)))))) <=> ((~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93))))))),
% 14.46/9.63 inference(rewrite,[status(thm)],[])).
% 14.46/9.63 tff(6582,plain,
% 14.46/9.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v96(constB93)) | (~v1(constB93))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93)))))))),
% 14.46/9.63 inference(monotonicity,[status(thm)],[6581])).
% 14.46/9.63 tff(6583,plain,
% 14.46/9.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v96(constB93)) | (~v1(constB93))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93))))))),
% 14.46/9.63 inference(transitivity,[status(thm)],[6582, 6580])).
% 14.46/9.63 tff(6584,plain,
% 14.46/9.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v96(constB93)) | (~v1(constB93))))))),
% 14.46/9.63 inference(quant_inst,[status(thm)],[])).
% 14.46/9.63 tff(6585,plain,
% 14.46/9.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93)))))),
% 14.46/9.63 inference(modus_ponens,[status(thm)],[6584, 6583])).
% 14.46/9.63 tff(6586,plain,
% 14.46/9.63 (v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93))))),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6585, 6575, 790])).
% 14.46/9.63 tff(6587,plain,
% 14.46/9.63 ((~v1(constB93)) <=> (~v1(constB93))),
% 14.46/9.63 inference(rewrite,[status(thm)],[])).
% 14.46/9.63 tff(6588,axiom,(~v1(constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_93')).
% 14.46/9.63 tff(6589,plain,
% 14.46/9.63 (~v1(constB93)),
% 14.46/9.63 inference(modus_ponens,[status(thm)],[6588, 6587])).
% 14.46/9.63 tff(6590,plain,
% 14.46/9.63 (((~v1(constB93)) | (~v96(constB93))) | v1(constB93)),
% 14.46/9.63 inference(tautology,[status(thm)],[])).
% 14.46/9.63 tff(6591,plain,
% 14.46/9.63 ((~v1(constB93)) | (~v96(constB93))),
% 14.46/9.63 inference(unit_resolution,[status(thm)],[6590, 6589])).
% 14.46/9.63 tff(6592,plain,
% 14.46/9.63 ((~(v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93)))))) | (~v95(constB93)) | (~((~v1(constB93)) | (~v96(constB93))))),
% 14.46/9.64 inference(tautology,[status(thm)],[])).
% 14.46/9.64 tff(6593,plain,
% 14.46/9.64 ((~(v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93)))))) | (~v95(constB93))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6592, 6591])).
% 14.46/9.64 tff(6594,plain,
% 14.46/9.64 (~v95(constB93)),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6593, 6586])).
% 14.46/9.64 tff(6595,plain,
% 14.46/9.64 (((~v95(constB93)) | (~v104(constB93))) | v95(constB93)),
% 14.46/9.64 inference(tautology,[status(thm)],[])).
% 14.46/9.64 tff(6596,plain,
% 14.46/9.64 ((~v95(constB93)) | (~v104(constB93))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6595, 6594])).
% 14.46/9.64 tff(6597,plain,
% 14.46/9.64 ((~(v94(constB93) <=> (~((~v95(constB93)) | (~v104(constB93)))))) | (~v94(constB93)) | (~((~v95(constB93)) | (~v104(constB93))))),
% 14.46/9.64 inference(tautology,[status(thm)],[])).
% 14.46/9.64 tff(6598,plain,
% 14.46/9.64 (~v94(constB93)),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6597, 6596, 6579])).
% 14.46/9.64 tff(6599,plain,
% 14.46/9.64 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB93) | (~nextState(constB92, constB93)) | (~(((~v84(constB93, 1)) <=> v84(constB92, 1)) | ((~v84(constB93, 2)) <=> v84(constB92, 2)) | ((~v84(constB93, 0)) <=> v84(constB92, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB93) | (~nextState(constB92, constB93)) | (~(((~v84(constB93, 1)) <=> v84(constB92, 1)) | ((~v84(constB93, 2)) <=> v84(constB92, 2)) | ((~v84(constB93, 0)) <=> v84(constB92, 0)))))),
% 14.46/9.64 inference(rewrite,[status(thm)],[])).
% 14.46/9.64 tff(6600,plain,
% 14.46/9.64 ((v94(constB93) | (~nextState(constB92, constB93)) | (~(((~v84(constB93, 2)) <=> v84(constB92, 2)) | ((~v84(constB93, 1)) <=> v84(constB92, 1)) | ((~v84(constB93, 0)) <=> v84(constB92, 0))))) <=> (v94(constB93) | (~nextState(constB92, constB93)) | (~(((~v84(constB93, 1)) <=> v84(constB92, 1)) | ((~v84(constB93, 2)) <=> v84(constB92, 2)) | ((~v84(constB93, 0)) <=> v84(constB92, 0)))))),
% 14.46/9.64 inference(rewrite,[status(thm)],[])).
% 14.46/9.64 tff(6601,plain,
% 14.46/9.64 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB93) | (~nextState(constB92, constB93)) | (~(((~v84(constB93, 2)) <=> v84(constB92, 2)) | ((~v84(constB93, 1)) <=> v84(constB92, 1)) | ((~v84(constB93, 0)) <=> v84(constB92, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB93) | (~nextState(constB92, constB93)) | (~(((~v84(constB93, 1)) <=> v84(constB92, 1)) | ((~v84(constB93, 2)) <=> v84(constB92, 2)) | ((~v84(constB93, 0)) <=> v84(constB92, 0))))))),
% 14.46/9.64 inference(monotonicity,[status(thm)],[6600])).
% 14.46/9.64 tff(6602,plain,
% 14.46/9.64 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB93) | (~nextState(constB92, constB93)) | (~(((~v84(constB93, 2)) <=> v84(constB92, 2)) | ((~v84(constB93, 1)) <=> v84(constB92, 1)) | ((~v84(constB93, 0)) <=> v84(constB92, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB93) | (~nextState(constB92, constB93)) | (~(((~v84(constB93, 1)) <=> v84(constB92, 1)) | ((~v84(constB93, 2)) <=> v84(constB92, 2)) | ((~v84(constB93, 0)) <=> v84(constB92, 0)))))),
% 14.46/9.64 inference(transitivity,[status(thm)],[6601, 6599])).
% 14.46/9.64 tff(6603,plain,
% 14.46/9.64 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB93) | (~nextState(constB92, constB93)) | (~(((~v84(constB93, 2)) <=> v84(constB92, 2)) | ((~v84(constB93, 1)) <=> v84(constB92, 1)) | ((~v84(constB93, 0)) <=> v84(constB92, 0)))))),
% 14.46/9.64 inference(quant_inst,[status(thm)],[])).
% 14.46/9.64 tff(6604,plain,
% 14.46/9.64 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB93) | (~nextState(constB92, constB93)) | (~(((~v84(constB93, 1)) <=> v84(constB92, 1)) | ((~v84(constB93, 2)) <=> v84(constB92, 2)) | ((~v84(constB93, 0)) <=> v84(constB92, 0))))),
% 14.46/9.64 inference(modus_ponens,[status(thm)],[6603, 6602])).
% 14.46/9.64 tff(6605,plain,
% 14.46/9.64 (v94(constB93) | (~(((~v84(constB93, 1)) <=> v84(constB92, 1)) | ((~v84(constB93, 2)) <=> v84(constB92, 2)) | ((~v84(constB93, 0)) <=> v84(constB92, 0))))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6604, 6575, 819])).
% 14.46/9.64 tff(6606,plain,
% 14.46/9.64 (~(((~v84(constB93, 1)) <=> v84(constB92, 1)) | ((~v84(constB93, 2)) <=> v84(constB92, 2)) | ((~v84(constB93, 0)) <=> v84(constB92, 0)))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6605, 6598])).
% 14.46/9.64 tff(6607,plain,
% 14.46/9.64 ((((~v84(constB93, 1)) <=> v84(constB92, 1)) | ((~v84(constB93, 2)) <=> v84(constB92, 2)) | ((~v84(constB93, 0)) <=> v84(constB92, 0))) | (~((~v84(constB93, 2)) <=> v84(constB92, 2)))),
% 14.46/9.64 inference(tautology,[status(thm)],[])).
% 14.46/9.64 tff(6608,plain,
% 14.46/9.64 (~((~v84(constB93, 2)) <=> v84(constB92, 2))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6607, 6606])).
% 14.46/9.64 tff(6609,plain,
% 14.46/9.64 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 14.46/9.64 inference(rewrite,[status(thm)],[])).
% 14.46/9.64 tff(6610,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_91')).
% 14.46/9.64 tff(6611,plain,
% 14.46/9.64 (nextState(constB91, constB92)),
% 14.46/9.64 inference(modus_ponens,[status(thm)],[6610, 6609])).
% 14.46/9.64 tff(6612,plain,
% 14.46/9.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB91, constB92)) | (~(((~v123(constB92, 2)) <=> v121(constB91, 2)) | ((~v123(constB92, 1)) <=> v121(constB91, 1)) | ((~v123(constB92, 0)) <=> v121(constB91, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB91, constB92)) | (~(((~v123(constB92, 2)) <=> v121(constB91, 2)) | ((~v123(constB92, 1)) <=> v121(constB91, 1)) | ((~v123(constB92, 0)) <=> v121(constB91, 0)))))),
% 14.46/9.64 inference(rewrite,[status(thm)],[])).
% 14.46/9.64 tff(6613,plain,
% 14.46/9.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB91, constB92)) | (~(((~v123(constB92, 2)) <=> v121(constB91, 2)) | ((~v123(constB92, 1)) <=> v121(constB91, 1)) | ((~v123(constB92, 0)) <=> v121(constB91, 0)))))),
% 14.46/9.64 inference(quant_inst,[status(thm)],[])).
% 14.46/9.64 tff(6614,plain,
% 14.46/9.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB91, constB92)) | (~(((~v123(constB92, 2)) <=> v121(constB91, 2)) | ((~v123(constB92, 1)) <=> v121(constB91, 1)) | ((~v123(constB92, 0)) <=> v121(constB91, 0))))),
% 14.46/9.64 inference(modus_ponens,[status(thm)],[6613, 6612])).
% 14.46/9.64 tff(6615,plain,
% 14.46/9.64 (~(((~v123(constB92, 2)) <=> v121(constB91, 2)) | ((~v123(constB92, 1)) <=> v121(constB91, 1)) | ((~v123(constB92, 0)) <=> v121(constB91, 0)))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6614, 6611, 842])).
% 14.46/9.64 tff(6616,plain,
% 14.46/9.64 ((((~v123(constB92, 2)) <=> v121(constB91, 2)) | ((~v123(constB92, 1)) <=> v121(constB91, 1)) | ((~v123(constB92, 0)) <=> v121(constB91, 0))) | (~((~v123(constB92, 2)) <=> v121(constB91, 2)))),
% 14.46/9.64 inference(tautology,[status(thm)],[])).
% 14.46/9.64 tff(6617,plain,
% 14.46/9.64 (~((~v123(constB92, 2)) <=> v121(constB91, 2))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6616, 6615])).
% 14.46/9.64 tff(6618,plain,
% 14.46/9.64 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB91) <=> v26(constB91))),
% 14.46/9.64 inference(quant_inst,[status(thm)],[])).
% 14.46/9.64 tff(6619,plain,
% 14.46/9.64 (v105(constB91) <=> v26(constB91)),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6618, 861])).
% 14.46/9.64 tff(6620,plain,
% 14.46/9.64 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB91))),
% 14.46/9.64 inference(quant_inst,[status(thm)],[])).
% 14.46/9.64 tff(6621,plain,
% 14.46/9.64 (~v26(constB91)),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6620, 873])).
% 14.46/9.64 tff(6622,plain,
% 14.46/9.64 ((~(v105(constB91) <=> v26(constB91))) | (~v105(constB91)) | v26(constB91)),
% 14.46/9.64 inference(tautology,[status(thm)],[])).
% 14.46/9.64 tff(6623,plain,
% 14.46/9.64 ((~(v105(constB91) <=> v26(constB91))) | (~v105(constB91))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6622, 6621])).
% 14.46/9.64 tff(6624,plain,
% 14.46/9.64 (~v105(constB91)),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6623, 6619])).
% 14.46/9.64 tff(6625,plain,
% 14.46/9.64 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB91) | (~(((~v121(constB91, 2)) <=> v124(constB91, 2)) | ((~v121(constB91, 0)) <=> v124(constB91, 0)) | ((~v121(constB91, 1)) <=> v124(constB91, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB91) | (~(((~v121(constB91, 2)) <=> v124(constB91, 2)) | ((~v121(constB91, 0)) <=> v124(constB91, 0)) | ((~v121(constB91, 1)) <=> v124(constB91, 1)))))),
% 14.46/9.64 inference(rewrite,[status(thm)],[])).
% 14.46/9.64 tff(6626,plain,
% 14.46/9.64 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB91) | (~(((~v121(constB91, 2)) <=> v124(constB91, 2)) | ((~v121(constB91, 0)) <=> v124(constB91, 0)) | ((~v121(constB91, 1)) <=> v124(constB91, 1)))))),
% 14.46/9.64 inference(quant_inst,[status(thm)],[])).
% 14.46/9.64 tff(6627,plain,
% 14.46/9.64 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB91) | (~(((~v121(constB91, 2)) <=> v124(constB91, 2)) | ((~v121(constB91, 0)) <=> v124(constB91, 0)) | ((~v121(constB91, 1)) <=> v124(constB91, 1))))),
% 14.46/9.64 inference(modus_ponens,[status(thm)],[6626, 6625])).
% 14.46/9.64 tff(6628,plain,
% 14.46/9.64 (v105(constB91) | (~(((~v121(constB91, 2)) <=> v124(constB91, 2)) | ((~v121(constB91, 0)) <=> v124(constB91, 0)) | ((~v121(constB91, 1)) <=> v124(constB91, 1))))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6627, 891])).
% 14.46/9.64 tff(6629,plain,
% 14.46/9.64 (~(((~v121(constB91, 2)) <=> v124(constB91, 2)) | ((~v121(constB91, 0)) <=> v124(constB91, 0)) | ((~v121(constB91, 1)) <=> v124(constB91, 1)))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6628, 6624])).
% 14.46/9.64 tff(6630,plain,
% 14.46/9.64 ((((~v121(constB91, 2)) <=> v124(constB91, 2)) | ((~v121(constB91, 0)) <=> v124(constB91, 0)) | ((~v121(constB91, 1)) <=> v124(constB91, 1))) | (~((~v121(constB91, 2)) <=> v124(constB91, 2)))),
% 14.46/9.64 inference(tautology,[status(thm)],[])).
% 14.46/9.64 tff(6631,plain,
% 14.46/9.64 (~((~v121(constB91, 2)) <=> v124(constB91, 2))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6630, 6629])).
% 14.46/9.64 tff(6632,plain,
% 14.46/9.64 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB91) <=> (~(v84(constB91, 2) | (~v84(constB91, 1)) | (~v84(constB91, 0)))))),
% 14.46/9.64 inference(quant_inst,[status(thm)],[])).
% 14.46/9.64 tff(6633,plain,
% 14.46/9.64 (v116(constB91) <=> (~(v84(constB91, 2) | (~v84(constB91, 1)) | (~v84(constB91, 0))))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6632, 911])).
% 14.46/9.64 tff(6634,plain,
% 14.46/9.64 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 14.46/9.64 inference(rewrite,[status(thm)],[])).
% 14.46/9.64 tff(6635,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_90')).
% 14.46/9.64 tff(6636,plain,
% 14.46/9.64 (nextState(constB90, constB91)),
% 14.46/9.64 inference(modus_ponens,[status(thm)],[6635, 6634])).
% 14.46/9.64 tff(6637,plain,
% 14.46/9.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB90, constB91)) | (v94(constB91) <=> (~((~v95(constB91)) | (~v104(constB91))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB90, constB91)) | (v94(constB91) <=> (~((~v95(constB91)) | (~v104(constB91))))))),
% 14.46/9.64 inference(rewrite,[status(thm)],[])).
% 14.46/9.64 tff(6638,plain,
% 14.46/9.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB90, constB91)) | (v94(constB91) <=> (~((~v95(constB91)) | (~v104(constB91))))))),
% 14.46/9.64 inference(quant_inst,[status(thm)],[])).
% 14.46/9.64 tff(6639,plain,
% 14.46/9.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB90, constB91)) | (v94(constB91) <=> (~((~v95(constB91)) | (~v104(constB91)))))),
% 14.46/9.64 inference(modus_ponens,[status(thm)],[6638, 6637])).
% 14.46/9.64 tff(6640,plain,
% 14.46/9.64 (v94(constB91) <=> (~((~v95(constB91)) | (~v104(constB91))))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6639, 6636, 770])).
% 14.46/9.64 tff(6641,plain,
% 14.46/9.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91))))))),
% 14.46/9.64 inference(rewrite,[status(thm)],[])).
% 14.46/9.64 tff(6642,plain,
% 14.46/9.64 (((~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v96(constB91)) | (~v1(constB91)))))) <=> ((~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91))))))),
% 14.46/9.64 inference(rewrite,[status(thm)],[])).
% 14.46/9.64 tff(6643,plain,
% 14.46/9.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v96(constB91)) | (~v1(constB91))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91)))))))),
% 14.46/9.64 inference(monotonicity,[status(thm)],[6642])).
% 14.46/9.64 tff(6644,plain,
% 14.46/9.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v96(constB91)) | (~v1(constB91))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91))))))),
% 14.46/9.64 inference(transitivity,[status(thm)],[6643, 6641])).
% 14.46/9.64 tff(6645,plain,
% 14.46/9.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v96(constB91)) | (~v1(constB91))))))),
% 14.46/9.64 inference(quant_inst,[status(thm)],[])).
% 14.46/9.64 tff(6646,plain,
% 14.46/9.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91)))))),
% 14.46/9.64 inference(modus_ponens,[status(thm)],[6645, 6644])).
% 14.46/9.64 tff(6647,plain,
% 14.46/9.64 (v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91))))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6646, 6636, 790])).
% 14.46/9.64 tff(6648,plain,
% 14.46/9.64 ((~v1(constB91)) <=> (~v1(constB91))),
% 14.46/9.64 inference(rewrite,[status(thm)],[])).
% 14.46/9.64 tff(6649,axiom,(~v1(constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_91')).
% 14.46/9.64 tff(6650,plain,
% 14.46/9.64 (~v1(constB91)),
% 14.46/9.64 inference(modus_ponens,[status(thm)],[6649, 6648])).
% 14.46/9.64 tff(6651,plain,
% 14.46/9.64 (((~v1(constB91)) | (~v96(constB91))) | v1(constB91)),
% 14.46/9.64 inference(tautology,[status(thm)],[])).
% 14.46/9.64 tff(6652,plain,
% 14.46/9.64 ((~v1(constB91)) | (~v96(constB91))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6651, 6650])).
% 14.46/9.64 tff(6653,plain,
% 14.46/9.64 ((~(v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91)))))) | (~v95(constB91)) | (~((~v1(constB91)) | (~v96(constB91))))),
% 14.46/9.64 inference(tautology,[status(thm)],[])).
% 14.46/9.64 tff(6654,plain,
% 14.46/9.64 ((~(v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91)))))) | (~v95(constB91))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6653, 6652])).
% 14.46/9.64 tff(6655,plain,
% 14.46/9.64 (~v95(constB91)),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6654, 6647])).
% 14.46/9.64 tff(6656,plain,
% 14.46/9.64 (((~v95(constB91)) | (~v104(constB91))) | v95(constB91)),
% 14.46/9.64 inference(tautology,[status(thm)],[])).
% 14.46/9.64 tff(6657,plain,
% 14.46/9.64 ((~v95(constB91)) | (~v104(constB91))),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6656, 6655])).
% 14.46/9.64 tff(6658,plain,
% 14.46/9.64 ((~(v94(constB91) <=> (~((~v95(constB91)) | (~v104(constB91)))))) | (~v94(constB91)) | (~((~v95(constB91)) | (~v104(constB91))))),
% 14.46/9.64 inference(tautology,[status(thm)],[])).
% 14.46/9.64 tff(6659,plain,
% 14.46/9.64 (~v94(constB91)),
% 14.46/9.64 inference(unit_resolution,[status(thm)],[6658, 6657, 6640])).
% 14.46/9.64 tff(6660,plain,
% 14.46/9.64 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB91) | (~nextState(constB90, constB91)) | (~(((~v84(constB91, 1)) <=> v84(constB90, 1)) | ((~v84(constB91, 2)) <=> v84(constB90, 2)) | ((~v84(constB91, 0)) <=> v84(constB90, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB91) | (~nextState(constB90, constB91)) | (~(((~v84(constB91, 1)) <=> v84(constB90, 1)) | ((~v84(constB91, 2)) <=> v84(constB90, 2)) | ((~v84(constB91, 0)) <=> v84(constB90, 0)))))),
% 14.46/9.64 inference(rewrite,[status(thm)],[])).
% 14.46/9.64 tff(6661,plain,
% 14.46/9.64 ((v94(constB91) | (~nextState(constB90, constB91)) | (~(((~v84(constB91, 2)) <=> v84(constB90, 2)) | ((~v84(constB91, 1)) <=> v84(constB90, 1)) | ((~v84(constB91, 0)) <=> v84(constB90, 0))))) <=> (v94(constB91) | (~nextState(constB90, constB91)) | (~(((~v84(constB91, 1)) <=> v84(constB90, 1)) | ((~v84(constB91, 2)) <=> v84(constB90, 2)) | ((~v84(constB91, 0)) <=> v84(constB90, 0)))))),
% 14.46/9.64 inference(rewrite,[status(thm)],[])).
% 14.46/9.64 tff(6662,plain,
% 14.46/9.64 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB91) | (~nextState(constB90, constB91)) | (~(((~v84(constB91, 2)) <=> v84(constB90, 2)) | ((~v84(constB91, 1)) <=> v84(constB90, 1)) | ((~v84(constB91, 0)) <=> v84(constB90, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB91) | (~nextState(constB90, constB91)) | (~(((~v84(constB91, 1)) <=> v84(constB90, 1)) | ((~v84(constB91, 2)) <=> v84(constB90, 2)) | ((~v84(constB91, 0)) <=> v84(constB90, 0))))))),
% 14.46/9.65 inference(monotonicity,[status(thm)],[6661])).
% 14.46/9.65 tff(6663,plain,
% 14.46/9.65 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB91) | (~nextState(constB90, constB91)) | (~(((~v84(constB91, 2)) <=> v84(constB90, 2)) | ((~v84(constB91, 1)) <=> v84(constB90, 1)) | ((~v84(constB91, 0)) <=> v84(constB90, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB91) | (~nextState(constB90, constB91)) | (~(((~v84(constB91, 1)) <=> v84(constB90, 1)) | ((~v84(constB91, 2)) <=> v84(constB90, 2)) | ((~v84(constB91, 0)) <=> v84(constB90, 0)))))),
% 14.46/9.65 inference(transitivity,[status(thm)],[6662, 6660])).
% 14.46/9.65 tff(6664,plain,
% 14.46/9.65 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB91) | (~nextState(constB90, constB91)) | (~(((~v84(constB91, 2)) <=> v84(constB90, 2)) | ((~v84(constB91, 1)) <=> v84(constB90, 1)) | ((~v84(constB91, 0)) <=> v84(constB90, 0)))))),
% 14.46/9.65 inference(quant_inst,[status(thm)],[])).
% 14.46/9.65 tff(6665,plain,
% 14.46/9.65 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB91) | (~nextState(constB90, constB91)) | (~(((~v84(constB91, 1)) <=> v84(constB90, 1)) | ((~v84(constB91, 2)) <=> v84(constB90, 2)) | ((~v84(constB91, 0)) <=> v84(constB90, 0))))),
% 14.46/9.65 inference(modus_ponens,[status(thm)],[6664, 6663])).
% 14.46/9.65 tff(6666,plain,
% 14.46/9.65 (v94(constB91) | (~(((~v84(constB91, 1)) <=> v84(constB90, 1)) | ((~v84(constB91, 2)) <=> v84(constB90, 2)) | ((~v84(constB91, 0)) <=> v84(constB90, 0))))),
% 14.46/9.65 inference(unit_resolution,[status(thm)],[6665, 6636, 819])).
% 14.46/9.65 tff(6667,plain,
% 14.46/9.65 (~(((~v84(constB91, 1)) <=> v84(constB90, 1)) | ((~v84(constB91, 2)) <=> v84(constB90, 2)) | ((~v84(constB91, 0)) <=> v84(constB90, 0)))),
% 14.46/9.65 inference(unit_resolution,[status(thm)],[6666, 6659])).
% 14.46/9.65 tff(6668,plain,
% 14.46/9.65 ((((~v84(constB91, 1)) <=> v84(constB90, 1)) | ((~v84(constB91, 2)) <=> v84(constB90, 2)) | ((~v84(constB91, 0)) <=> v84(constB90, 0))) | (~((~v84(constB91, 2)) <=> v84(constB90, 2)))),
% 14.46/9.65 inference(tautology,[status(thm)],[])).
% 14.46/9.65 tff(6669,plain,
% 14.46/9.65 (~((~v84(constB91, 2)) <=> v84(constB90, 2))),
% 14.46/9.65 inference(unit_resolution,[status(thm)],[6668, 6667])).
% 14.46/9.65 tff(6670,plain,
% 14.46/9.65 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 14.46/9.65 inference(rewrite,[status(thm)],[])).
% 14.46/9.65 tff(6671,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_89')).
% 14.46/9.65 tff(6672,plain,
% 14.46/9.65 (nextState(constB89, constB90)),
% 14.46/9.65 inference(modus_ponens,[status(thm)],[6671, 6670])).
% 14.46/9.65 tff(6673,plain,
% 14.46/9.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB89, constB90)) | (~(((~v123(constB90, 2)) <=> v121(constB89, 2)) | ((~v123(constB90, 1)) <=> v121(constB89, 1)) | ((~v123(constB90, 0)) <=> v121(constB89, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB89, constB90)) | (~(((~v123(constB90, 2)) <=> v121(constB89, 2)) | ((~v123(constB90, 1)) <=> v121(constB89, 1)) | ((~v123(constB90, 0)) <=> v121(constB89, 0)))))),
% 14.46/9.65 inference(rewrite,[status(thm)],[])).
% 14.46/9.65 tff(6674,plain,
% 14.46/9.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB89, constB90)) | (~(((~v123(constB90, 2)) <=> v121(constB89, 2)) | ((~v123(constB90, 1)) <=> v121(constB89, 1)) | ((~v123(constB90, 0)) <=> v121(constB89, 0)))))),
% 14.46/9.65 inference(quant_inst,[status(thm)],[])).
% 14.46/9.65 tff(6675,plain,
% 14.46/9.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB89, constB90)) | (~(((~v123(constB90, 2)) <=> v121(constB89, 2)) | ((~v123(constB90, 1)) <=> v121(constB89, 1)) | ((~v123(constB90, 0)) <=> v121(constB89, 0))))),
% 14.46/9.65 inference(modus_ponens,[status(thm)],[6674, 6673])).
% 14.46/9.65 tff(6676,plain,
% 14.46/9.65 (~(((~v123(constB90, 2)) <=> v121(constB89, 2)) | ((~v123(constB90, 1)) <=> v121(constB89, 1)) | ((~v123(constB90, 0)) <=> v121(constB89, 0)))),
% 14.46/9.65 inference(unit_resolution,[status(thm)],[6675, 6672, 842])).
% 14.46/9.65 tff(6677,plain,
% 14.46/9.65 ((((~v123(constB90, 2)) <=> v121(constB89, 2)) | ((~v123(constB90, 1)) <=> v121(constB89, 1)) | ((~v123(constB90, 0)) <=> v121(constB89, 0))) | (~((~v123(constB90, 2)) <=> v121(constB89, 2)))),
% 14.46/9.65 inference(tautology,[status(thm)],[])).
% 14.46/9.65 tff(6678,plain,
% 14.46/9.65 (~((~v123(constB90, 2)) <=> v121(constB89, 2))),
% 14.46/9.65 inference(unit_resolution,[status(thm)],[6677, 6676])).
% 14.46/9.65 tff(6679,plain,
% 14.46/9.65 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB89) <=> v26(constB89))),
% 14.46/9.65 inference(quant_inst,[status(thm)],[])).
% 14.46/9.65 tff(6680,plain,
% 14.46/9.65 (v105(constB89) <=> v26(constB89)),
% 14.46/9.65 inference(unit_resolution,[status(thm)],[6679, 861])).
% 14.46/9.65 tff(6681,plain,
% 14.46/9.65 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB89))),
% 14.46/9.65 inference(quant_inst,[status(thm)],[])).
% 14.46/9.65 tff(6682,plain,
% 14.46/9.65 (~v26(constB89)),
% 14.46/9.65 inference(unit_resolution,[status(thm)],[6681, 873])).
% 14.46/9.65 tff(6683,plain,
% 14.46/9.65 ((~(v105(constB89) <=> v26(constB89))) | (~v105(constB89)) | v26(constB89)),
% 14.46/9.65 inference(tautology,[status(thm)],[])).
% 14.46/9.65 tff(6684,plain,
% 14.46/9.65 ((~(v105(constB89) <=> v26(constB89))) | (~v105(constB89))),
% 14.46/9.65 inference(unit_resolution,[status(thm)],[6683, 6682])).
% 14.46/9.65 tff(6685,plain,
% 14.46/9.65 (~v105(constB89)),
% 14.46/9.65 inference(unit_resolution,[status(thm)],[6684, 6680])).
% 14.46/9.65 tff(6686,plain,
% 14.46/9.65 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB89) | (~(((~v121(constB89, 2)) <=> v124(constB89, 2)) | ((~v121(constB89, 0)) <=> v124(constB89, 0)) | ((~v121(constB89, 1)) <=> v124(constB89, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB89) | (~(((~v121(constB89, 2)) <=> v124(constB89, 2)) | ((~v121(constB89, 0)) <=> v124(constB89, 0)) | ((~v121(constB89, 1)) <=> v124(constB89, 1)))))),
% 14.46/9.65 inference(rewrite,[status(thm)],[])).
% 14.46/9.65 tff(6687,plain,
% 14.46/9.65 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB89) | (~(((~v121(constB89, 2)) <=> v124(constB89, 2)) | ((~v121(constB89, 0)) <=> v124(constB89, 0)) | ((~v121(constB89, 1)) <=> v124(constB89, 1)))))),
% 14.46/9.65 inference(quant_inst,[status(thm)],[])).
% 14.46/9.65 tff(6688,plain,
% 14.46/9.65 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB89) | (~(((~v121(constB89, 2)) <=> v124(constB89, 2)) | ((~v121(constB89, 0)) <=> v124(constB89, 0)) | ((~v121(constB89, 1)) <=> v124(constB89, 1))))),
% 14.46/9.65 inference(modus_ponens,[status(thm)],[6687, 6686])).
% 14.46/9.65 tff(6689,plain,
% 14.46/9.65 (v105(constB89) | (~(((~v121(constB89, 2)) <=> v124(constB89, 2)) | ((~v121(constB89, 0)) <=> v124(constB89, 0)) | ((~v121(constB89, 1)) <=> v124(constB89, 1))))),
% 14.46/9.65 inference(unit_resolution,[status(thm)],[6688, 891])).
% 14.46/9.65 tff(6690,plain,
% 14.46/9.65 (~(((~v121(constB89, 2)) <=> v124(constB89, 2)) | ((~v121(constB89, 0)) <=> v124(constB89, 0)) | ((~v121(constB89, 1)) <=> v124(constB89, 1)))),
% 14.46/9.65 inference(unit_resolution,[status(thm)],[6689, 6685])).
% 14.46/9.65 tff(6691,plain,
% 14.46/9.65 ((((~v121(constB89, 2)) <=> v124(constB89, 2)) | ((~v121(constB89, 0)) <=> v124(constB89, 0)) | ((~v121(constB89, 1)) <=> v124(constB89, 1))) | (~((~v121(constB89, 2)) <=> v124(constB89, 2)))),
% 14.46/9.65 inference(tautology,[status(thm)],[])).
% 14.46/9.65 tff(6692,plain,
% 14.46/9.65 (~((~v121(constB89, 2)) <=> v124(constB89, 2))),
% 14.46/9.65 inference(unit_resolution,[status(thm)],[6691, 6690])).
% 14.46/9.65 tff(6693,plain,
% 14.46/9.65 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB89) <=> (~(v84(constB89, 2) | v84(constB89, 0) | (~v84(constB89, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB89) <=> (~(v84(constB89, 2) | v84(constB89, 0) | (~v84(constB89, 1))))))),
% 14.46/9.65 inference(rewrite,[status(thm)],[])).
% 14.46/9.65 tff(6694,plain,
% 14.46/9.65 ((v115(constB89) <=> (~(v84(constB89, 0) | v84(constB89, 2) | (~v84(constB89, 1))))) <=> (v115(constB89) <=> (~(v84(constB89, 2) | v84(constB89, 0) | (~v84(constB89, 1)))))),
% 14.46/9.65 inference(rewrite,[status(thm)],[])).
% 14.46/9.65 tff(6695,plain,
% 14.46/9.65 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB89) <=> (~(v84(constB89, 0) | v84(constB89, 2) | (~v84(constB89, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB89) <=> (~(v84(constB89, 2) | v84(constB89, 0) | (~v84(constB89, 1))))))),
% 14.46/9.65 inference(monotonicity,[status(thm)],[6694])).
% 14.46/9.65 tff(6696,plain,
% 14.46/9.65 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB89) <=> (~(v84(constB89, 0) | v84(constB89, 2) | (~v84(constB89, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB89) <=> (~(v84(constB89, 2) | v84(constB89, 0) | (~v84(constB89, 1))))))),
% 14.46/9.65 inference(transitivity,[status(thm)],[6695, 6693])).
% 14.46/9.65 tff(6697,plain,
% 14.46/9.65 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB89) <=> (~(v84(constB89, 0) | v84(constB89, 2) | (~v84(constB89, 1)))))),
% 14.46/9.65 inference(quant_inst,[status(thm)],[])).
% 14.46/9.65 tff(6698,plain,
% 14.46/9.65 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB89) <=> (~(v84(constB89, 2) | v84(constB89, 0) | (~v84(constB89, 1)))))),
% 14.46/9.65 inference(modus_ponens,[status(thm)],[6697, 6696])).
% 14.46/9.65 tff(6699,plain,
% 14.46/9.65 (v115(constB89) <=> (~(v84(constB89, 2) | v84(constB89, 0) | (~v84(constB89, 1))))),
% 14.46/9.65 inference(unit_resolution,[status(thm)],[6698, 985])).
% 14.46/9.65 tff(6700,plain,
% 14.46/9.65 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 14.46/9.65 inference(rewrite,[status(thm)],[])).
% 14.46/9.65 tff(6701,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_88')).
% 14.46/9.65 tff(6702,plain,
% 14.46/9.65 (nextState(constB88, constB89)),
% 14.46/9.65 inference(modus_ponens,[status(thm)],[6701, 6700])).
% 14.46/9.65 tff(6703,plain,
% 14.46/9.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB88, constB89)) | (v94(constB89) <=> (~((~v95(constB89)) | (~v104(constB89))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB88, constB89)) | (v94(constB89) <=> (~((~v95(constB89)) | (~v104(constB89))))))),
% 14.46/9.65 inference(rewrite,[status(thm)],[])).
% 14.46/9.65 tff(6704,plain,
% 14.46/9.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB88, constB89)) | (v94(constB89) <=> (~((~v95(constB89)) | (~v104(constB89))))))),
% 14.46/9.65 inference(quant_inst,[status(thm)],[])).
% 14.46/9.65 tff(6705,plain,
% 14.46/9.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB88, constB89)) | (v94(constB89) <=> (~((~v95(constB89)) | (~v104(constB89)))))),
% 14.46/9.65 inference(modus_ponens,[status(thm)],[6704, 6703])).
% 14.46/9.65 tff(6706,plain,
% 14.46/9.65 (v94(constB89) <=> (~((~v95(constB89)) | (~v104(constB89))))),
% 14.46/9.65 inference(unit_resolution,[status(thm)],[6705, 6702, 770])).
% 14.46/9.65 tff(6707,plain,
% 14.46/9.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89))))))),
% 14.46/9.65 inference(rewrite,[status(thm)],[])).
% 14.46/9.65 tff(6708,plain,
% 14.46/9.65 (((~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v96(constB89)) | (~v1(constB89)))))) <=> ((~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89))))))),
% 14.46/9.65 inference(rewrite,[status(thm)],[])).
% 14.46/9.65 tff(6709,plain,
% 14.46/9.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v96(constB89)) | (~v1(constB89))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89)))))))),
% 14.46/9.65 inference(monotonicity,[status(thm)],[6708])).
% 14.46/9.65 tff(6710,plain,
% 14.46/9.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v96(constB89)) | (~v1(constB89))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89))))))),
% 14.46/9.65 inference(transitivity,[status(thm)],[6709, 6707])).
% 14.46/9.65 tff(6711,plain,
% 14.46/9.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v96(constB89)) | (~v1(constB89))))))),
% 14.46/9.65 inference(quant_inst,[status(thm)],[])).
% 14.46/9.65 tff(6712,plain,
% 14.46/9.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89)))))),
% 14.46/9.65 inference(modus_ponens,[status(thm)],[6711, 6710])).
% 14.46/9.65 tff(6713,plain,
% 14.46/9.65 (v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89))))),
% 14.46/9.65 inference(unit_resolution,[status(thm)],[6712, 6702, 790])).
% 14.46/9.65 tff(6714,plain,
% 14.46/9.65 ((~v1(constB89)) <=> (~v1(constB89))),
% 14.46/9.65 inference(rewrite,[status(thm)],[])).
% 14.46/9.65 tff(6715,axiom,(~v1(constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_89')).
% 14.46/9.65 tff(6716,plain,
% 14.46/9.65 (~v1(constB89)),
% 14.46/9.65 inference(modus_ponens,[status(thm)],[6715, 6714])).
% 14.46/9.65 tff(6717,plain,
% 14.46/9.66 (((~v1(constB89)) | (~v96(constB89))) | v1(constB89)),
% 14.46/9.66 inference(tautology,[status(thm)],[])).
% 14.46/9.66 tff(6718,plain,
% 14.46/9.66 ((~v1(constB89)) | (~v96(constB89))),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6717, 6716])).
% 14.46/9.66 tff(6719,plain,
% 14.46/9.66 ((~(v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89)))))) | (~v95(constB89)) | (~((~v1(constB89)) | (~v96(constB89))))),
% 14.46/9.66 inference(tautology,[status(thm)],[])).
% 14.46/9.66 tff(6720,plain,
% 14.46/9.66 ((~(v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89)))))) | (~v95(constB89))),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6719, 6718])).
% 14.46/9.66 tff(6721,plain,
% 14.46/9.66 (~v95(constB89)),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6720, 6713])).
% 14.46/9.66 tff(6722,plain,
% 14.46/9.66 (((~v95(constB89)) | (~v104(constB89))) | v95(constB89)),
% 14.46/9.66 inference(tautology,[status(thm)],[])).
% 14.46/9.66 tff(6723,plain,
% 14.46/9.66 ((~v95(constB89)) | (~v104(constB89))),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6722, 6721])).
% 14.46/9.66 tff(6724,plain,
% 14.46/9.66 ((~(v94(constB89) <=> (~((~v95(constB89)) | (~v104(constB89)))))) | (~v94(constB89)) | (~((~v95(constB89)) | (~v104(constB89))))),
% 14.46/9.66 inference(tautology,[status(thm)],[])).
% 14.46/9.66 tff(6725,plain,
% 14.46/9.66 (~v94(constB89)),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6724, 6723, 6706])).
% 14.46/9.66 tff(6726,plain,
% 14.46/9.66 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB89) | (~nextState(constB88, constB89)) | (~(((~v84(constB89, 1)) <=> v84(constB88, 1)) | ((~v84(constB89, 2)) <=> v84(constB88, 2)) | ((~v84(constB89, 0)) <=> v84(constB88, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB89) | (~nextState(constB88, constB89)) | (~(((~v84(constB89, 1)) <=> v84(constB88, 1)) | ((~v84(constB89, 2)) <=> v84(constB88, 2)) | ((~v84(constB89, 0)) <=> v84(constB88, 0)))))),
% 14.46/9.66 inference(rewrite,[status(thm)],[])).
% 14.46/9.66 tff(6727,plain,
% 14.46/9.66 ((v94(constB89) | (~nextState(constB88, constB89)) | (~(((~v84(constB89, 2)) <=> v84(constB88, 2)) | ((~v84(constB89, 1)) <=> v84(constB88, 1)) | ((~v84(constB89, 0)) <=> v84(constB88, 0))))) <=> (v94(constB89) | (~nextState(constB88, constB89)) | (~(((~v84(constB89, 1)) <=> v84(constB88, 1)) | ((~v84(constB89, 2)) <=> v84(constB88, 2)) | ((~v84(constB89, 0)) <=> v84(constB88, 0)))))),
% 14.46/9.66 inference(rewrite,[status(thm)],[])).
% 14.46/9.66 tff(6728,plain,
% 14.46/9.66 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB89) | (~nextState(constB88, constB89)) | (~(((~v84(constB89, 2)) <=> v84(constB88, 2)) | ((~v84(constB89, 1)) <=> v84(constB88, 1)) | ((~v84(constB89, 0)) <=> v84(constB88, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB89) | (~nextState(constB88, constB89)) | (~(((~v84(constB89, 1)) <=> v84(constB88, 1)) | ((~v84(constB89, 2)) <=> v84(constB88, 2)) | ((~v84(constB89, 0)) <=> v84(constB88, 0))))))),
% 14.46/9.66 inference(monotonicity,[status(thm)],[6727])).
% 14.46/9.66 tff(6729,plain,
% 14.46/9.66 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB89) | (~nextState(constB88, constB89)) | (~(((~v84(constB89, 2)) <=> v84(constB88, 2)) | ((~v84(constB89, 1)) <=> v84(constB88, 1)) | ((~v84(constB89, 0)) <=> v84(constB88, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB89) | (~nextState(constB88, constB89)) | (~(((~v84(constB89, 1)) <=> v84(constB88, 1)) | ((~v84(constB89, 2)) <=> v84(constB88, 2)) | ((~v84(constB89, 0)) <=> v84(constB88, 0)))))),
% 14.46/9.66 inference(transitivity,[status(thm)],[6728, 6726])).
% 14.46/9.66 tff(6730,plain,
% 14.46/9.66 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB89) | (~nextState(constB88, constB89)) | (~(((~v84(constB89, 2)) <=> v84(constB88, 2)) | ((~v84(constB89, 1)) <=> v84(constB88, 1)) | ((~v84(constB89, 0)) <=> v84(constB88, 0)))))),
% 14.46/9.66 inference(quant_inst,[status(thm)],[])).
% 14.46/9.66 tff(6731,plain,
% 14.46/9.66 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB89) | (~nextState(constB88, constB89)) | (~(((~v84(constB89, 1)) <=> v84(constB88, 1)) | ((~v84(constB89, 2)) <=> v84(constB88, 2)) | ((~v84(constB89, 0)) <=> v84(constB88, 0))))),
% 14.46/9.66 inference(modus_ponens,[status(thm)],[6730, 6729])).
% 14.46/9.66 tff(6732,plain,
% 14.46/9.66 (v94(constB89) | (~(((~v84(constB89, 1)) <=> v84(constB88, 1)) | ((~v84(constB89, 2)) <=> v84(constB88, 2)) | ((~v84(constB89, 0)) <=> v84(constB88, 0))))),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6731, 6702, 819])).
% 14.46/9.66 tff(6733,plain,
% 14.46/9.66 (~(((~v84(constB89, 1)) <=> v84(constB88, 1)) | ((~v84(constB89, 2)) <=> v84(constB88, 2)) | ((~v84(constB89, 0)) <=> v84(constB88, 0)))),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6732, 6725])).
% 14.46/9.66 tff(6734,plain,
% 14.46/9.66 ((((~v84(constB89, 1)) <=> v84(constB88, 1)) | ((~v84(constB89, 2)) <=> v84(constB88, 2)) | ((~v84(constB89, 0)) <=> v84(constB88, 0))) | (~((~v84(constB89, 2)) <=> v84(constB88, 2)))),
% 14.46/9.66 inference(tautology,[status(thm)],[])).
% 14.46/9.66 tff(6735,plain,
% 14.46/9.66 (~((~v84(constB89, 2)) <=> v84(constB88, 2))),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6734, 6733])).
% 14.46/9.66 tff(6736,plain,
% 14.46/9.66 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 14.46/9.66 inference(rewrite,[status(thm)],[])).
% 14.46/9.66 tff(6737,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_87')).
% 14.46/9.66 tff(6738,plain,
% 14.46/9.66 (nextState(constB87, constB88)),
% 14.46/9.66 inference(modus_ponens,[status(thm)],[6737, 6736])).
% 14.46/9.66 tff(6739,plain,
% 14.46/9.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB87, constB88)) | (~(((~v123(constB88, 2)) <=> v121(constB87, 2)) | ((~v123(constB88, 1)) <=> v121(constB87, 1)) | ((~v123(constB88, 0)) <=> v121(constB87, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB87, constB88)) | (~(((~v123(constB88, 2)) <=> v121(constB87, 2)) | ((~v123(constB88, 1)) <=> v121(constB87, 1)) | ((~v123(constB88, 0)) <=> v121(constB87, 0)))))),
% 14.46/9.66 inference(rewrite,[status(thm)],[])).
% 14.46/9.66 tff(6740,plain,
% 14.46/9.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB87, constB88)) | (~(((~v123(constB88, 2)) <=> v121(constB87, 2)) | ((~v123(constB88, 1)) <=> v121(constB87, 1)) | ((~v123(constB88, 0)) <=> v121(constB87, 0)))))),
% 14.46/9.66 inference(quant_inst,[status(thm)],[])).
% 14.46/9.66 tff(6741,plain,
% 14.46/9.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB87, constB88)) | (~(((~v123(constB88, 2)) <=> v121(constB87, 2)) | ((~v123(constB88, 1)) <=> v121(constB87, 1)) | ((~v123(constB88, 0)) <=> v121(constB87, 0))))),
% 14.46/9.66 inference(modus_ponens,[status(thm)],[6740, 6739])).
% 14.46/9.66 tff(6742,plain,
% 14.46/9.66 (~(((~v123(constB88, 2)) <=> v121(constB87, 2)) | ((~v123(constB88, 1)) <=> v121(constB87, 1)) | ((~v123(constB88, 0)) <=> v121(constB87, 0)))),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6741, 6738, 842])).
% 14.46/9.66 tff(6743,plain,
% 14.46/9.66 ((((~v123(constB88, 2)) <=> v121(constB87, 2)) | ((~v123(constB88, 1)) <=> v121(constB87, 1)) | ((~v123(constB88, 0)) <=> v121(constB87, 0))) | (~((~v123(constB88, 2)) <=> v121(constB87, 2)))),
% 14.46/9.66 inference(tautology,[status(thm)],[])).
% 14.46/9.66 tff(6744,plain,
% 14.46/9.66 (~((~v123(constB88, 2)) <=> v121(constB87, 2))),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6743, 6742])).
% 14.46/9.66 tff(6745,plain,
% 14.46/9.66 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB87) <=> v26(constB87))),
% 14.46/9.66 inference(quant_inst,[status(thm)],[])).
% 14.46/9.66 tff(6746,plain,
% 14.46/9.66 (v105(constB87) <=> v26(constB87)),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6745, 861])).
% 14.46/9.66 tff(6747,plain,
% 14.46/9.66 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB87))),
% 14.46/9.66 inference(quant_inst,[status(thm)],[])).
% 14.46/9.66 tff(6748,plain,
% 14.46/9.66 (~v26(constB87)),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6747, 873])).
% 14.46/9.66 tff(6749,plain,
% 14.46/9.66 ((~(v105(constB87) <=> v26(constB87))) | (~v105(constB87)) | v26(constB87)),
% 14.46/9.66 inference(tautology,[status(thm)],[])).
% 14.46/9.66 tff(6750,plain,
% 14.46/9.66 ((~(v105(constB87) <=> v26(constB87))) | (~v105(constB87))),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6749, 6748])).
% 14.46/9.66 tff(6751,plain,
% 14.46/9.66 (~v105(constB87)),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6750, 6746])).
% 14.46/9.66 tff(6752,plain,
% 14.46/9.66 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB87) | (~(((~v121(constB87, 2)) <=> v124(constB87, 2)) | ((~v121(constB87, 0)) <=> v124(constB87, 0)) | ((~v121(constB87, 1)) <=> v124(constB87, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB87) | (~(((~v121(constB87, 2)) <=> v124(constB87, 2)) | ((~v121(constB87, 0)) <=> v124(constB87, 0)) | ((~v121(constB87, 1)) <=> v124(constB87, 1)))))),
% 14.46/9.66 inference(rewrite,[status(thm)],[])).
% 14.46/9.66 tff(6753,plain,
% 14.46/9.66 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB87) | (~(((~v121(constB87, 2)) <=> v124(constB87, 2)) | ((~v121(constB87, 0)) <=> v124(constB87, 0)) | ((~v121(constB87, 1)) <=> v124(constB87, 1)))))),
% 14.46/9.66 inference(quant_inst,[status(thm)],[])).
% 14.46/9.66 tff(6754,plain,
% 14.46/9.66 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB87) | (~(((~v121(constB87, 2)) <=> v124(constB87, 2)) | ((~v121(constB87, 0)) <=> v124(constB87, 0)) | ((~v121(constB87, 1)) <=> v124(constB87, 1))))),
% 14.46/9.66 inference(modus_ponens,[status(thm)],[6753, 6752])).
% 14.46/9.66 tff(6755,plain,
% 14.46/9.66 (v105(constB87) | (~(((~v121(constB87, 2)) <=> v124(constB87, 2)) | ((~v121(constB87, 0)) <=> v124(constB87, 0)) | ((~v121(constB87, 1)) <=> v124(constB87, 1))))),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6754, 891])).
% 14.46/9.66 tff(6756,plain,
% 14.46/9.66 (~(((~v121(constB87, 2)) <=> v124(constB87, 2)) | ((~v121(constB87, 0)) <=> v124(constB87, 0)) | ((~v121(constB87, 1)) <=> v124(constB87, 1)))),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6755, 6751])).
% 14.46/9.66 tff(6757,plain,
% 14.46/9.66 ((((~v121(constB87, 2)) <=> v124(constB87, 2)) | ((~v121(constB87, 0)) <=> v124(constB87, 0)) | ((~v121(constB87, 1)) <=> v124(constB87, 1))) | (~((~v121(constB87, 2)) <=> v124(constB87, 2)))),
% 14.46/9.66 inference(tautology,[status(thm)],[])).
% 14.46/9.66 tff(6758,plain,
% 14.46/9.66 (~((~v121(constB87, 2)) <=> v124(constB87, 2))),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6757, 6756])).
% 14.46/9.66 tff(6759,plain,
% 14.46/9.66 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB87) <=> (~(v84(constB87, 1) | v84(constB87, 2) | (~v84(constB87, 0)))))),
% 14.46/9.66 inference(quant_inst,[status(thm)],[])).
% 14.46/9.66 tff(6760,plain,
% 14.46/9.66 (v114(constB87) <=> (~(v84(constB87, 1) | v84(constB87, 2) | (~v84(constB87, 0))))),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6759, 1064])).
% 14.46/9.66 tff(6761,plain,
% 14.46/9.66 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 14.46/9.66 inference(rewrite,[status(thm)],[])).
% 14.46/9.66 tff(6762,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_86')).
% 14.46/9.66 tff(6763,plain,
% 14.46/9.66 (nextState(constB86, constB87)),
% 14.46/9.66 inference(modus_ponens,[status(thm)],[6762, 6761])).
% 14.46/9.66 tff(6764,plain,
% 14.46/9.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB86, constB87)) | (v94(constB87) <=> (~((~v95(constB87)) | (~v104(constB87))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB86, constB87)) | (v94(constB87) <=> (~((~v95(constB87)) | (~v104(constB87))))))),
% 14.46/9.66 inference(rewrite,[status(thm)],[])).
% 14.46/9.66 tff(6765,plain,
% 14.46/9.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB86, constB87)) | (v94(constB87) <=> (~((~v95(constB87)) | (~v104(constB87))))))),
% 14.46/9.66 inference(quant_inst,[status(thm)],[])).
% 14.46/9.66 tff(6766,plain,
% 14.46/9.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB86, constB87)) | (v94(constB87) <=> (~((~v95(constB87)) | (~v104(constB87)))))),
% 14.46/9.66 inference(modus_ponens,[status(thm)],[6765, 6764])).
% 14.46/9.66 tff(6767,plain,
% 14.46/9.66 (v94(constB87) <=> (~((~v95(constB87)) | (~v104(constB87))))),
% 14.46/9.66 inference(unit_resolution,[status(thm)],[6766, 6763, 770])).
% 14.46/9.66 tff(6768,plain,
% 14.46/9.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87))))))),
% 14.46/9.66 inference(rewrite,[status(thm)],[])).
% 14.46/9.66 tff(6769,plain,
% 14.46/9.66 (((~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v96(constB87)) | (~v1(constB87)))))) <=> ((~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87))))))),
% 14.46/9.66 inference(rewrite,[status(thm)],[])).
% 14.46/9.66 tff(6770,plain,
% 14.46/9.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v96(constB87)) | (~v1(constB87))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87)))))))),
% 14.46/9.66 inference(monotonicity,[status(thm)],[6769])).
% 14.46/9.66 tff(6771,plain,
% 14.46/9.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v96(constB87)) | (~v1(constB87))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87))))))),
% 14.46/9.67 inference(transitivity,[status(thm)],[6770, 6768])).
% 14.46/9.67 tff(6772,plain,
% 14.46/9.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v96(constB87)) | (~v1(constB87))))))),
% 14.46/9.67 inference(quant_inst,[status(thm)],[])).
% 14.46/9.67 tff(6773,plain,
% 14.46/9.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87)))))),
% 14.46/9.67 inference(modus_ponens,[status(thm)],[6772, 6771])).
% 14.46/9.67 tff(6774,plain,
% 14.46/9.67 (v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87))))),
% 14.46/9.67 inference(unit_resolution,[status(thm)],[6773, 6763, 790])).
% 14.46/9.67 tff(6775,plain,
% 14.46/9.67 ((~v1(constB87)) <=> (~v1(constB87))),
% 14.46/9.67 inference(rewrite,[status(thm)],[])).
% 14.46/9.67 tff(6776,axiom,(~v1(constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_87')).
% 14.46/9.67 tff(6777,plain,
% 14.46/9.67 (~v1(constB87)),
% 14.46/9.67 inference(modus_ponens,[status(thm)],[6776, 6775])).
% 14.46/9.67 tff(6778,plain,
% 14.46/9.67 (((~v1(constB87)) | (~v96(constB87))) | v1(constB87)),
% 14.46/9.67 inference(tautology,[status(thm)],[])).
% 14.46/9.67 tff(6779,plain,
% 14.46/9.67 ((~v1(constB87)) | (~v96(constB87))),
% 14.46/9.67 inference(unit_resolution,[status(thm)],[6778, 6777])).
% 14.46/9.67 tff(6780,plain,
% 14.46/9.67 ((~(v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87)))))) | (~v95(constB87)) | (~((~v1(constB87)) | (~v96(constB87))))),
% 14.46/9.67 inference(tautology,[status(thm)],[])).
% 14.46/9.67 tff(6781,plain,
% 14.46/9.67 ((~(v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87)))))) | (~v95(constB87))),
% 14.46/9.67 inference(unit_resolution,[status(thm)],[6780, 6779])).
% 14.46/9.67 tff(6782,plain,
% 14.46/9.67 (~v95(constB87)),
% 14.46/9.67 inference(unit_resolution,[status(thm)],[6781, 6774])).
% 14.46/9.67 tff(6783,plain,
% 14.46/9.67 (((~v95(constB87)) | (~v104(constB87))) | v95(constB87)),
% 14.46/9.67 inference(tautology,[status(thm)],[])).
% 14.46/9.67 tff(6784,plain,
% 14.46/9.67 ((~v95(constB87)) | (~v104(constB87))),
% 14.46/9.67 inference(unit_resolution,[status(thm)],[6783, 6782])).
% 14.46/9.67 tff(6785,plain,
% 14.46/9.67 ((~(v94(constB87) <=> (~((~v95(constB87)) | (~v104(constB87)))))) | (~v94(constB87)) | (~((~v95(constB87)) | (~v104(constB87))))),
% 14.46/9.67 inference(tautology,[status(thm)],[])).
% 14.46/9.67 tff(6786,plain,
% 14.46/9.67 (~v94(constB87)),
% 14.46/9.67 inference(unit_resolution,[status(thm)],[6785, 6784, 6767])).
% 14.46/9.67 tff(6787,plain,
% 14.46/9.67 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB87) | (~nextState(constB86, constB87)) | (~(((~v84(constB87, 1)) <=> v84(constB86, 1)) | ((~v84(constB87, 2)) <=> v84(constB86, 2)) | ((~v84(constB87, 0)) <=> v84(constB86, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB87) | (~nextState(constB86, constB87)) | (~(((~v84(constB87, 1)) <=> v84(constB86, 1)) | ((~v84(constB87, 2)) <=> v84(constB86, 2)) | ((~v84(constB87, 0)) <=> v84(constB86, 0)))))),
% 14.46/9.67 inference(rewrite,[status(thm)],[])).
% 14.46/9.67 tff(6788,plain,
% 14.46/9.67 ((v94(constB87) | (~nextState(constB86, constB87)) | (~(((~v84(constB87, 2)) <=> v84(constB86, 2)) | ((~v84(constB87, 1)) <=> v84(constB86, 1)) | ((~v84(constB87, 0)) <=> v84(constB86, 0))))) <=> (v94(constB87) | (~nextState(constB86, constB87)) | (~(((~v84(constB87, 1)) <=> v84(constB86, 1)) | ((~v84(constB87, 2)) <=> v84(constB86, 2)) | ((~v84(constB87, 0)) <=> v84(constB86, 0)))))),
% 14.46/9.67 inference(rewrite,[status(thm)],[])).
% 14.46/9.67 tff(6789,plain,
% 14.46/9.67 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB87) | (~nextState(constB86, constB87)) | (~(((~v84(constB87, 2)) <=> v84(constB86, 2)) | ((~v84(constB87, 1)) <=> v84(constB86, 1)) | ((~v84(constB87, 0)) <=> v84(constB86, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB87) | (~nextState(constB86, constB87)) | (~(((~v84(constB87, 1)) <=> v84(constB86, 1)) | ((~v84(constB87, 2)) <=> v84(constB86, 2)) | ((~v84(constB87, 0)) <=> v84(constB86, 0))))))),
% 14.46/9.67 inference(monotonicity,[status(thm)],[6788])).
% 14.46/9.67 tff(6790,plain,
% 14.46/9.67 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB87) | (~nextState(constB86, constB87)) | (~(((~v84(constB87, 2)) <=> v84(constB86, 2)) | ((~v84(constB87, 1)) <=> v84(constB86, 1)) | ((~v84(constB87, 0)) <=> v84(constB86, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB87) | (~nextState(constB86, constB87)) | (~(((~v84(constB87, 1)) <=> v84(constB86, 1)) | ((~v84(constB87, 2)) <=> v84(constB86, 2)) | ((~v84(constB87, 0)) <=> v84(constB86, 0)))))),
% 14.46/9.67 inference(transitivity,[status(thm)],[6789, 6787])).
% 14.46/9.67 tff(6791,plain,
% 14.46/9.67 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB87) | (~nextState(constB86, constB87)) | (~(((~v84(constB87, 2)) <=> v84(constB86, 2)) | ((~v84(constB87, 1)) <=> v84(constB86, 1)) | ((~v84(constB87, 0)) <=> v84(constB86, 0)))))),
% 14.46/9.67 inference(quant_inst,[status(thm)],[])).
% 14.46/9.67 tff(6792,plain,
% 14.46/9.67 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB87) | (~nextState(constB86, constB87)) | (~(((~v84(constB87, 1)) <=> v84(constB86, 1)) | ((~v84(constB87, 2)) <=> v84(constB86, 2)) | ((~v84(constB87, 0)) <=> v84(constB86, 0))))),
% 14.46/9.67 inference(modus_ponens,[status(thm)],[6791, 6790])).
% 14.46/9.67 tff(6793,plain,
% 14.46/9.67 (v94(constB87) | (~(((~v84(constB87, 1)) <=> v84(constB86, 1)) | ((~v84(constB87, 2)) <=> v84(constB86, 2)) | ((~v84(constB87, 0)) <=> v84(constB86, 0))))),
% 14.46/9.67 inference(unit_resolution,[status(thm)],[6792, 6763, 819])).
% 14.46/9.67 tff(6794,plain,
% 14.46/9.67 (~(((~v84(constB87, 1)) <=> v84(constB86, 1)) | ((~v84(constB87, 2)) <=> v84(constB86, 2)) | ((~v84(constB87, 0)) <=> v84(constB86, 0)))),
% 14.46/9.67 inference(unit_resolution,[status(thm)],[6793, 6786])).
% 14.46/9.67 tff(6795,plain,
% 14.46/9.67 ((((~v84(constB87, 1)) <=> v84(constB86, 1)) | ((~v84(constB87, 2)) <=> v84(constB86, 2)) | ((~v84(constB87, 0)) <=> v84(constB86, 0))) | (~((~v84(constB87, 2)) <=> v84(constB86, 2)))),
% 14.46/9.67 inference(tautology,[status(thm)],[])).
% 14.46/9.67 tff(6796,plain,
% 14.46/9.67 (~((~v84(constB87, 2)) <=> v84(constB86, 2))),
% 14.46/9.67 inference(unit_resolution,[status(thm)],[6795, 6794])).
% 14.46/9.67 tff(6797,plain,
% 14.46/9.67 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 14.46/9.67 inference(rewrite,[status(thm)],[])).
% 14.46/9.67 tff(6798,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_85')).
% 14.46/9.67 tff(6799,plain,
% 14.46/9.67 (nextState(constB85, constB86)),
% 14.46/9.67 inference(modus_ponens,[status(thm)],[6798, 6797])).
% 14.46/9.67 tff(6800,plain,
% 14.46/9.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB85, constB86)) | (~(((~v123(constB86, 2)) <=> v121(constB85, 2)) | ((~v123(constB86, 1)) <=> v121(constB85, 1)) | ((~v123(constB86, 0)) <=> v121(constB85, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB85, constB86)) | (~(((~v123(constB86, 2)) <=> v121(constB85, 2)) | ((~v123(constB86, 1)) <=> v121(constB85, 1)) | ((~v123(constB86, 0)) <=> v121(constB85, 0)))))),
% 14.46/9.67 inference(rewrite,[status(thm)],[])).
% 14.46/9.67 tff(6801,plain,
% 14.46/9.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB85, constB86)) | (~(((~v123(constB86, 2)) <=> v121(constB85, 2)) | ((~v123(constB86, 1)) <=> v121(constB85, 1)) | ((~v123(constB86, 0)) <=> v121(constB85, 0)))))),
% 14.46/9.67 inference(quant_inst,[status(thm)],[])).
% 14.46/9.67 tff(6802,plain,
% 14.46/9.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB85, constB86)) | (~(((~v123(constB86, 2)) <=> v121(constB85, 2)) | ((~v123(constB86, 1)) <=> v121(constB85, 1)) | ((~v123(constB86, 0)) <=> v121(constB85, 0))))),
% 14.46/9.67 inference(modus_ponens,[status(thm)],[6801, 6800])).
% 14.46/9.67 tff(6803,plain,
% 14.46/9.67 (~(((~v123(constB86, 2)) <=> v121(constB85, 2)) | ((~v123(constB86, 1)) <=> v121(constB85, 1)) | ((~v123(constB86, 0)) <=> v121(constB85, 0)))),
% 14.46/9.67 inference(unit_resolution,[status(thm)],[6802, 6799, 842])).
% 14.46/9.67 tff(6804,plain,
% 14.46/9.67 ((((~v123(constB86, 2)) <=> v121(constB85, 2)) | ((~v123(constB86, 1)) <=> v121(constB85, 1)) | ((~v123(constB86, 0)) <=> v121(constB85, 0))) | (~((~v123(constB86, 2)) <=> v121(constB85, 2)))),
% 14.46/9.67 inference(tautology,[status(thm)],[])).
% 14.46/9.67 tff(6805,plain,
% 14.46/9.67 (~((~v123(constB86, 2)) <=> v121(constB85, 2))),
% 14.46/9.67 inference(unit_resolution,[status(thm)],[6804, 6803])).
% 14.46/9.67 tff(6806,plain,
% 14.46/9.67 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB85) <=> v26(constB85))),
% 14.46/9.67 inference(quant_inst,[status(thm)],[])).
% 14.46/9.67 tff(6807,plain,
% 14.46/9.67 (v105(constB85) <=> v26(constB85)),
% 14.46/9.67 inference(unit_resolution,[status(thm)],[6806, 861])).
% 14.46/9.67 tff(6808,plain,
% 14.46/9.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB85))),
% 14.46/9.67 inference(quant_inst,[status(thm)],[])).
% 14.46/9.67 tff(6809,plain,
% 14.46/9.67 (~v26(constB85)),
% 14.46/9.67 inference(unit_resolution,[status(thm)],[6808, 873])).
% 14.46/9.67 tff(6810,plain,
% 14.46/9.67 ((~(v105(constB85) <=> v26(constB85))) | (~v105(constB85)) | v26(constB85)),
% 14.46/9.67 inference(tautology,[status(thm)],[])).
% 14.46/9.67 tff(6811,plain,
% 14.46/9.67 ((~(v105(constB85) <=> v26(constB85))) | (~v105(constB85))),
% 14.46/9.67 inference(unit_resolution,[status(thm)],[6810, 6809])).
% 14.46/9.67 tff(6812,plain,
% 14.46/9.67 (~v105(constB85)),
% 14.46/9.67 inference(unit_resolution,[status(thm)],[6811, 6807])).
% 14.46/9.67 tff(6813,plain,
% 14.46/9.67 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB85) | (~(((~v121(constB85, 2)) <=> v124(constB85, 2)) | ((~v121(constB85, 0)) <=> v124(constB85, 0)) | ((~v121(constB85, 1)) <=> v124(constB85, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB85) | (~(((~v121(constB85, 2)) <=> v124(constB85, 2)) | ((~v121(constB85, 0)) <=> v124(constB85, 0)) | ((~v121(constB85, 1)) <=> v124(constB85, 1)))))),
% 14.46/9.67 inference(rewrite,[status(thm)],[])).
% 14.46/9.67 tff(6814,plain,
% 14.46/9.67 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB85) | (~(((~v121(constB85, 2)) <=> v124(constB85, 2)) | ((~v121(constB85, 0)) <=> v124(constB85, 0)) | ((~v121(constB85, 1)) <=> v124(constB85, 1)))))),
% 14.54/9.67 inference(quant_inst,[status(thm)],[])).
% 14.54/9.67 tff(6815,plain,
% 14.54/9.67 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB85) | (~(((~v121(constB85, 2)) <=> v124(constB85, 2)) | ((~v121(constB85, 0)) <=> v124(constB85, 0)) | ((~v121(constB85, 1)) <=> v124(constB85, 1))))),
% 14.54/9.67 inference(modus_ponens,[status(thm)],[6814, 6813])).
% 14.54/9.67 tff(6816,plain,
% 14.54/9.67 (v105(constB85) | (~(((~v121(constB85, 2)) <=> v124(constB85, 2)) | ((~v121(constB85, 0)) <=> v124(constB85, 0)) | ((~v121(constB85, 1)) <=> v124(constB85, 1))))),
% 14.54/9.67 inference(unit_resolution,[status(thm)],[6815, 891])).
% 14.54/9.67 tff(6817,plain,
% 14.54/9.67 (~(((~v121(constB85, 2)) <=> v124(constB85, 2)) | ((~v121(constB85, 0)) <=> v124(constB85, 0)) | ((~v121(constB85, 1)) <=> v124(constB85, 1)))),
% 14.54/9.67 inference(unit_resolution,[status(thm)],[6816, 6812])).
% 14.54/9.67 tff(6818,plain,
% 14.54/9.67 ((((~v121(constB85, 2)) <=> v124(constB85, 2)) | ((~v121(constB85, 0)) <=> v124(constB85, 0)) | ((~v121(constB85, 1)) <=> v124(constB85, 1))) | (~((~v121(constB85, 2)) <=> v124(constB85, 2)))),
% 14.54/9.67 inference(tautology,[status(thm)],[])).
% 14.54/9.67 tff(6819,plain,
% 14.54/9.67 (~((~v121(constB85, 2)) <=> v124(constB85, 2))),
% 14.54/9.67 inference(unit_resolution,[status(thm)],[6818, 6817])).
% 14.54/9.67 tff(6820,plain,
% 14.54/9.67 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB85) <=> (~(v84(constB85, 0) | v84(constB85, 1) | v84(constB85, 2))))),
% 14.54/9.67 inference(quant_inst,[status(thm)],[])).
% 14.54/9.67 tff(6821,plain,
% 14.54/9.67 (v113(constB85) <=> (~(v84(constB85, 0) | v84(constB85, 1) | v84(constB85, 2)))),
% 14.54/9.67 inference(unit_resolution,[status(thm)],[6820, 1466])).
% 14.54/9.67 tff(6822,plain,
% 14.54/9.67 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 14.54/9.67 inference(rewrite,[status(thm)],[])).
% 14.54/9.67 tff(6823,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_84')).
% 14.54/9.67 tff(6824,plain,
% 14.54/9.67 (nextState(constB84, constB85)),
% 14.54/9.67 inference(modus_ponens,[status(thm)],[6823, 6822])).
% 14.54/9.67 tff(6825,plain,
% 14.54/9.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB84, constB85)) | (v94(constB85) <=> (~((~v95(constB85)) | (~v104(constB85))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB84, constB85)) | (v94(constB85) <=> (~((~v95(constB85)) | (~v104(constB85))))))),
% 14.54/9.67 inference(rewrite,[status(thm)],[])).
% 14.54/9.67 tff(6826,plain,
% 14.54/9.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB84, constB85)) | (v94(constB85) <=> (~((~v95(constB85)) | (~v104(constB85))))))),
% 14.54/9.67 inference(quant_inst,[status(thm)],[])).
% 14.54/9.67 tff(6827,plain,
% 14.54/9.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB84, constB85)) | (v94(constB85) <=> (~((~v95(constB85)) | (~v104(constB85)))))),
% 14.54/9.67 inference(modus_ponens,[status(thm)],[6826, 6825])).
% 14.54/9.67 tff(6828,plain,
% 14.54/9.67 (v94(constB85) <=> (~((~v95(constB85)) | (~v104(constB85))))),
% 14.54/9.67 inference(unit_resolution,[status(thm)],[6827, 6824, 770])).
% 14.54/9.67 tff(6829,plain,
% 14.54/9.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85))))))),
% 14.54/9.67 inference(rewrite,[status(thm)],[])).
% 14.54/9.67 tff(6830,plain,
% 14.54/9.68 (((~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v96(constB85)) | (~v1(constB85)))))) <=> ((~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85))))))),
% 14.54/9.68 inference(rewrite,[status(thm)],[])).
% 14.54/9.68 tff(6831,plain,
% 14.54/9.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v96(constB85)) | (~v1(constB85))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85)))))))),
% 14.54/9.68 inference(monotonicity,[status(thm)],[6830])).
% 14.54/9.68 tff(6832,plain,
% 14.54/9.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v96(constB85)) | (~v1(constB85))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85))))))),
% 14.54/9.68 inference(transitivity,[status(thm)],[6831, 6829])).
% 14.54/9.68 tff(6833,plain,
% 14.54/9.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v96(constB85)) | (~v1(constB85))))))),
% 14.54/9.68 inference(quant_inst,[status(thm)],[])).
% 14.54/9.68 tff(6834,plain,
% 14.54/9.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85)))))),
% 14.54/9.68 inference(modus_ponens,[status(thm)],[6833, 6832])).
% 14.54/9.68 tff(6835,plain,
% 14.54/9.68 (v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85))))),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6834, 6824, 790])).
% 14.54/9.68 tff(6836,plain,
% 14.54/9.68 ((~v1(constB85)) <=> (~v1(constB85))),
% 14.54/9.68 inference(rewrite,[status(thm)],[])).
% 14.54/9.68 tff(6837,axiom,(~v1(constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_85')).
% 14.54/9.68 tff(6838,plain,
% 14.54/9.68 (~v1(constB85)),
% 14.54/9.68 inference(modus_ponens,[status(thm)],[6837, 6836])).
% 14.54/9.68 tff(6839,plain,
% 14.54/9.68 (((~v1(constB85)) | (~v96(constB85))) | v1(constB85)),
% 14.54/9.68 inference(tautology,[status(thm)],[])).
% 14.54/9.68 tff(6840,plain,
% 14.54/9.68 ((~v1(constB85)) | (~v96(constB85))),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6839, 6838])).
% 14.54/9.68 tff(6841,plain,
% 14.54/9.68 ((~(v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85)))))) | (~v95(constB85)) | (~((~v1(constB85)) | (~v96(constB85))))),
% 14.54/9.68 inference(tautology,[status(thm)],[])).
% 14.54/9.68 tff(6842,plain,
% 14.54/9.68 ((~(v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85)))))) | (~v95(constB85))),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6841, 6840])).
% 14.54/9.68 tff(6843,plain,
% 14.54/9.68 (~v95(constB85)),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6842, 6835])).
% 14.54/9.68 tff(6844,plain,
% 14.54/9.68 (((~v95(constB85)) | (~v104(constB85))) | v95(constB85)),
% 14.54/9.68 inference(tautology,[status(thm)],[])).
% 14.54/9.68 tff(6845,plain,
% 14.54/9.68 ((~v95(constB85)) | (~v104(constB85))),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6844, 6843])).
% 14.54/9.68 tff(6846,plain,
% 14.54/9.68 ((~(v94(constB85) <=> (~((~v95(constB85)) | (~v104(constB85)))))) | (~v94(constB85)) | (~((~v95(constB85)) | (~v104(constB85))))),
% 14.54/9.68 inference(tautology,[status(thm)],[])).
% 14.54/9.68 tff(6847,plain,
% 14.54/9.68 (~v94(constB85)),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6846, 6845, 6828])).
% 14.54/9.68 tff(6848,plain,
% 14.54/9.68 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB85) | (~nextState(constB84, constB85)) | (~(((~v84(constB85, 1)) <=> v84(constB84, 1)) | ((~v84(constB85, 2)) <=> v84(constB84, 2)) | ((~v84(constB85, 0)) <=> v84(constB84, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB85) | (~nextState(constB84, constB85)) | (~(((~v84(constB85, 1)) <=> v84(constB84, 1)) | ((~v84(constB85, 2)) <=> v84(constB84, 2)) | ((~v84(constB85, 0)) <=> v84(constB84, 0)))))),
% 14.54/9.68 inference(rewrite,[status(thm)],[])).
% 14.54/9.68 tff(6849,plain,
% 14.54/9.68 ((v94(constB85) | (~nextState(constB84, constB85)) | (~(((~v84(constB85, 2)) <=> v84(constB84, 2)) | ((~v84(constB85, 1)) <=> v84(constB84, 1)) | ((~v84(constB85, 0)) <=> v84(constB84, 0))))) <=> (v94(constB85) | (~nextState(constB84, constB85)) | (~(((~v84(constB85, 1)) <=> v84(constB84, 1)) | ((~v84(constB85, 2)) <=> v84(constB84, 2)) | ((~v84(constB85, 0)) <=> v84(constB84, 0)))))),
% 14.54/9.68 inference(rewrite,[status(thm)],[])).
% 14.54/9.68 tff(6850,plain,
% 14.54/9.68 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB85) | (~nextState(constB84, constB85)) | (~(((~v84(constB85, 2)) <=> v84(constB84, 2)) | ((~v84(constB85, 1)) <=> v84(constB84, 1)) | ((~v84(constB85, 0)) <=> v84(constB84, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB85) | (~nextState(constB84, constB85)) | (~(((~v84(constB85, 1)) <=> v84(constB84, 1)) | ((~v84(constB85, 2)) <=> v84(constB84, 2)) | ((~v84(constB85, 0)) <=> v84(constB84, 0))))))),
% 14.54/9.68 inference(monotonicity,[status(thm)],[6849])).
% 14.54/9.68 tff(6851,plain,
% 14.54/9.68 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB85) | (~nextState(constB84, constB85)) | (~(((~v84(constB85, 2)) <=> v84(constB84, 2)) | ((~v84(constB85, 1)) <=> v84(constB84, 1)) | ((~v84(constB85, 0)) <=> v84(constB84, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB85) | (~nextState(constB84, constB85)) | (~(((~v84(constB85, 1)) <=> v84(constB84, 1)) | ((~v84(constB85, 2)) <=> v84(constB84, 2)) | ((~v84(constB85, 0)) <=> v84(constB84, 0)))))),
% 14.54/9.68 inference(transitivity,[status(thm)],[6850, 6848])).
% 14.54/9.68 tff(6852,plain,
% 14.54/9.68 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB85) | (~nextState(constB84, constB85)) | (~(((~v84(constB85, 2)) <=> v84(constB84, 2)) | ((~v84(constB85, 1)) <=> v84(constB84, 1)) | ((~v84(constB85, 0)) <=> v84(constB84, 0)))))),
% 14.54/9.68 inference(quant_inst,[status(thm)],[])).
% 14.54/9.68 tff(6853,plain,
% 14.54/9.68 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB85) | (~nextState(constB84, constB85)) | (~(((~v84(constB85, 1)) <=> v84(constB84, 1)) | ((~v84(constB85, 2)) <=> v84(constB84, 2)) | ((~v84(constB85, 0)) <=> v84(constB84, 0))))),
% 14.54/9.68 inference(modus_ponens,[status(thm)],[6852, 6851])).
% 14.54/9.68 tff(6854,plain,
% 14.54/9.68 (v94(constB85) | (~(((~v84(constB85, 1)) <=> v84(constB84, 1)) | ((~v84(constB85, 2)) <=> v84(constB84, 2)) | ((~v84(constB85, 0)) <=> v84(constB84, 0))))),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6853, 6824, 819])).
% 14.54/9.68 tff(6855,plain,
% 14.54/9.68 (~(((~v84(constB85, 1)) <=> v84(constB84, 1)) | ((~v84(constB85, 2)) <=> v84(constB84, 2)) | ((~v84(constB85, 0)) <=> v84(constB84, 0)))),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6854, 6847])).
% 14.54/9.68 tff(6856,plain,
% 14.54/9.68 ((((~v84(constB85, 1)) <=> v84(constB84, 1)) | ((~v84(constB85, 2)) <=> v84(constB84, 2)) | ((~v84(constB85, 0)) <=> v84(constB84, 0))) | (~((~v84(constB85, 2)) <=> v84(constB84, 2)))),
% 14.54/9.68 inference(tautology,[status(thm)],[])).
% 14.54/9.68 tff(6857,plain,
% 14.54/9.68 (~((~v84(constB85, 2)) <=> v84(constB84, 2))),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6856, 6855])).
% 14.54/9.68 tff(6858,plain,
% 14.54/9.68 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 14.54/9.68 inference(rewrite,[status(thm)],[])).
% 14.54/9.68 tff(6859,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_83')).
% 14.54/9.68 tff(6860,plain,
% 14.54/9.68 (nextState(constB83, constB84)),
% 14.54/9.68 inference(modus_ponens,[status(thm)],[6859, 6858])).
% 14.54/9.68 tff(6861,plain,
% 14.54/9.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB83, constB84)) | (~(((~v123(constB84, 2)) <=> v121(constB83, 2)) | ((~v123(constB84, 1)) <=> v121(constB83, 1)) | ((~v123(constB84, 0)) <=> v121(constB83, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB83, constB84)) | (~(((~v123(constB84, 2)) <=> v121(constB83, 2)) | ((~v123(constB84, 1)) <=> v121(constB83, 1)) | ((~v123(constB84, 0)) <=> v121(constB83, 0)))))),
% 14.54/9.68 inference(rewrite,[status(thm)],[])).
% 14.54/9.68 tff(6862,plain,
% 14.54/9.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB83, constB84)) | (~(((~v123(constB84, 2)) <=> v121(constB83, 2)) | ((~v123(constB84, 1)) <=> v121(constB83, 1)) | ((~v123(constB84, 0)) <=> v121(constB83, 0)))))),
% 14.54/9.68 inference(quant_inst,[status(thm)],[])).
% 14.54/9.68 tff(6863,plain,
% 14.54/9.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB83, constB84)) | (~(((~v123(constB84, 2)) <=> v121(constB83, 2)) | ((~v123(constB84, 1)) <=> v121(constB83, 1)) | ((~v123(constB84, 0)) <=> v121(constB83, 0))))),
% 14.54/9.68 inference(modus_ponens,[status(thm)],[6862, 6861])).
% 14.54/9.68 tff(6864,plain,
% 14.54/9.68 (~(((~v123(constB84, 2)) <=> v121(constB83, 2)) | ((~v123(constB84, 1)) <=> v121(constB83, 1)) | ((~v123(constB84, 0)) <=> v121(constB83, 0)))),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6863, 6860, 842])).
% 14.54/9.68 tff(6865,plain,
% 14.54/9.68 ((((~v123(constB84, 2)) <=> v121(constB83, 2)) | ((~v123(constB84, 1)) <=> v121(constB83, 1)) | ((~v123(constB84, 0)) <=> v121(constB83, 0))) | (~((~v123(constB84, 2)) <=> v121(constB83, 2)))),
% 14.54/9.68 inference(tautology,[status(thm)],[])).
% 14.54/9.68 tff(6866,plain,
% 14.54/9.68 (~((~v123(constB84, 2)) <=> v121(constB83, 2))),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6865, 6864])).
% 14.54/9.68 tff(6867,plain,
% 14.54/9.68 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB83) <=> v26(constB83))),
% 14.54/9.68 inference(quant_inst,[status(thm)],[])).
% 14.54/9.68 tff(6868,plain,
% 14.54/9.68 (v105(constB83) <=> v26(constB83)),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6867, 861])).
% 14.54/9.68 tff(6869,plain,
% 14.54/9.68 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB83))),
% 14.54/9.68 inference(quant_inst,[status(thm)],[])).
% 14.54/9.68 tff(6870,plain,
% 14.54/9.68 (~v26(constB83)),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6869, 873])).
% 14.54/9.68 tff(6871,plain,
% 14.54/9.68 ((~(v105(constB83) <=> v26(constB83))) | (~v105(constB83)) | v26(constB83)),
% 14.54/9.68 inference(tautology,[status(thm)],[])).
% 14.54/9.68 tff(6872,plain,
% 14.54/9.68 ((~(v105(constB83) <=> v26(constB83))) | (~v105(constB83))),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6871, 6870])).
% 14.54/9.68 tff(6873,plain,
% 14.54/9.68 (~v105(constB83)),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6872, 6868])).
% 14.54/9.68 tff(6874,plain,
% 14.54/9.68 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB83) | (~(((~v121(constB83, 2)) <=> v124(constB83, 2)) | ((~v121(constB83, 0)) <=> v124(constB83, 0)) | ((~v121(constB83, 1)) <=> v124(constB83, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB83) | (~(((~v121(constB83, 2)) <=> v124(constB83, 2)) | ((~v121(constB83, 0)) <=> v124(constB83, 0)) | ((~v121(constB83, 1)) <=> v124(constB83, 1)))))),
% 14.54/9.68 inference(rewrite,[status(thm)],[])).
% 14.54/9.68 tff(6875,plain,
% 14.54/9.68 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB83) | (~(((~v121(constB83, 2)) <=> v124(constB83, 2)) | ((~v121(constB83, 0)) <=> v124(constB83, 0)) | ((~v121(constB83, 1)) <=> v124(constB83, 1)))))),
% 14.54/9.68 inference(quant_inst,[status(thm)],[])).
% 14.54/9.68 tff(6876,plain,
% 14.54/9.68 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB83) | (~(((~v121(constB83, 2)) <=> v124(constB83, 2)) | ((~v121(constB83, 0)) <=> v124(constB83, 0)) | ((~v121(constB83, 1)) <=> v124(constB83, 1))))),
% 14.54/9.68 inference(modus_ponens,[status(thm)],[6875, 6874])).
% 14.54/9.68 tff(6877,plain,
% 14.54/9.68 (v105(constB83) | (~(((~v121(constB83, 2)) <=> v124(constB83, 2)) | ((~v121(constB83, 0)) <=> v124(constB83, 0)) | ((~v121(constB83, 1)) <=> v124(constB83, 1))))),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6876, 891])).
% 14.54/9.68 tff(6878,plain,
% 14.54/9.68 (~(((~v121(constB83, 2)) <=> v124(constB83, 2)) | ((~v121(constB83, 0)) <=> v124(constB83, 0)) | ((~v121(constB83, 1)) <=> v124(constB83, 1)))),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6877, 6873])).
% 14.54/9.68 tff(6879,plain,
% 14.54/9.68 ((((~v121(constB83, 2)) <=> v124(constB83, 2)) | ((~v121(constB83, 0)) <=> v124(constB83, 0)) | ((~v121(constB83, 1)) <=> v124(constB83, 1))) | (~((~v121(constB83, 2)) <=> v124(constB83, 2)))),
% 14.54/9.68 inference(tautology,[status(thm)],[])).
% 14.54/9.68 tff(6880,plain,
% 14.54/9.68 (~((~v121(constB83, 2)) <=> v124(constB83, 2))),
% 14.54/9.68 inference(unit_resolution,[status(thm)],[6879, 6878])).
% 14.54/9.68 tff(6881,plain,
% 14.54/9.68 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))))))),
% 14.54/9.68 inference(rewrite,[status(thm)],[])).
% 14.54/9.68 tff(6882,plain,
% 14.54/9.68 ((v117(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 1) | (~v84(constB83, 2))))) <=> (v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))))),
% 14.54/9.68 inference(rewrite,[status(thm)],[])).
% 14.54/9.68 tff(6883,plain,
% 14.54/9.68 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 1) | (~v84(constB83, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))))))),
% 14.54/9.68 inference(monotonicity,[status(thm)],[6882])).
% 14.54/9.68 tff(6884,plain,
% 14.54/9.68 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 1) | (~v84(constB83, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))))))),
% 14.54/9.69 inference(transitivity,[status(thm)],[6883, 6881])).
% 14.54/9.69 tff(6885,plain,
% 14.54/9.69 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 0) | v84(constB83, 1) | (~v84(constB83, 2)))))),
% 14.54/9.69 inference(quant_inst,[status(thm)],[])).
% 14.54/9.69 tff(6886,plain,
% 14.54/9.69 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))))),
% 14.54/9.69 inference(modus_ponens,[status(thm)],[6885, 6884])).
% 14.54/9.69 tff(6887,plain,
% 14.54/9.69 (v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))))),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6886, 1199])).
% 14.54/9.69 tff(6888,plain,
% 14.54/9.69 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 14.54/9.69 inference(rewrite,[status(thm)],[])).
% 14.54/9.69 tff(6889,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_82')).
% 14.54/9.69 tff(6890,plain,
% 14.54/9.69 (nextState(constB82, constB83)),
% 14.54/9.69 inference(modus_ponens,[status(thm)],[6889, 6888])).
% 14.54/9.69 tff(6891,plain,
% 14.54/9.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB82, constB83)) | (v94(constB83) <=> (~((~v95(constB83)) | (~v104(constB83))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB82, constB83)) | (v94(constB83) <=> (~((~v95(constB83)) | (~v104(constB83))))))),
% 14.54/9.69 inference(rewrite,[status(thm)],[])).
% 14.54/9.69 tff(6892,plain,
% 14.54/9.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB82, constB83)) | (v94(constB83) <=> (~((~v95(constB83)) | (~v104(constB83))))))),
% 14.54/9.69 inference(quant_inst,[status(thm)],[])).
% 14.54/9.69 tff(6893,plain,
% 14.54/9.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB82, constB83)) | (v94(constB83) <=> (~((~v95(constB83)) | (~v104(constB83)))))),
% 14.54/9.69 inference(modus_ponens,[status(thm)],[6892, 6891])).
% 14.54/9.69 tff(6894,plain,
% 14.54/9.69 (v94(constB83) <=> (~((~v95(constB83)) | (~v104(constB83))))),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6893, 6890, 770])).
% 14.54/9.69 tff(6895,plain,
% 14.54/9.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83))))))),
% 14.54/9.69 inference(rewrite,[status(thm)],[])).
% 14.54/9.69 tff(6896,plain,
% 14.54/9.69 (((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v96(constB83)) | (~v1(constB83)))))) <=> ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83))))))),
% 14.54/9.69 inference(rewrite,[status(thm)],[])).
% 14.54/9.69 tff(6897,plain,
% 14.54/9.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v96(constB83)) | (~v1(constB83))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83)))))))),
% 14.54/9.69 inference(monotonicity,[status(thm)],[6896])).
% 14.54/9.69 tff(6898,plain,
% 14.54/9.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v96(constB83)) | (~v1(constB83))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83))))))),
% 14.54/9.69 inference(transitivity,[status(thm)],[6897, 6895])).
% 14.54/9.69 tff(6899,plain,
% 14.54/9.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v96(constB83)) | (~v1(constB83))))))),
% 14.54/9.69 inference(quant_inst,[status(thm)],[])).
% 14.54/9.69 tff(6900,plain,
% 14.54/9.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83)))))),
% 14.54/9.69 inference(modus_ponens,[status(thm)],[6899, 6898])).
% 14.54/9.69 tff(6901,plain,
% 14.54/9.69 (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83))))),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6900, 6890, 790])).
% 14.54/9.69 tff(6902,plain,
% 14.54/9.69 ((~v1(constB83)) <=> (~v1(constB83))),
% 14.54/9.69 inference(rewrite,[status(thm)],[])).
% 14.54/9.69 tff(6903,axiom,(~v1(constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_83')).
% 14.54/9.69 tff(6904,plain,
% 14.54/9.69 (~v1(constB83)),
% 14.54/9.69 inference(modus_ponens,[status(thm)],[6903, 6902])).
% 14.54/9.69 tff(6905,plain,
% 14.54/9.69 (((~v1(constB83)) | (~v96(constB83))) | v1(constB83)),
% 14.54/9.69 inference(tautology,[status(thm)],[])).
% 14.54/9.69 tff(6906,plain,
% 14.54/9.69 ((~v1(constB83)) | (~v96(constB83))),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6905, 6904])).
% 14.54/9.69 tff(6907,plain,
% 14.54/9.69 ((~(v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83)))))) | (~v95(constB83)) | (~((~v1(constB83)) | (~v96(constB83))))),
% 14.54/9.69 inference(tautology,[status(thm)],[])).
% 14.54/9.69 tff(6908,plain,
% 14.54/9.69 ((~(v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83)))))) | (~v95(constB83))),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6907, 6906])).
% 14.54/9.69 tff(6909,plain,
% 14.54/9.69 (~v95(constB83)),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6908, 6901])).
% 14.54/9.69 tff(6910,plain,
% 14.54/9.69 (((~v95(constB83)) | (~v104(constB83))) | v95(constB83)),
% 14.54/9.69 inference(tautology,[status(thm)],[])).
% 14.54/9.69 tff(6911,plain,
% 14.54/9.69 ((~v95(constB83)) | (~v104(constB83))),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6910, 6909])).
% 14.54/9.69 tff(6912,plain,
% 14.54/9.69 ((~(v94(constB83) <=> (~((~v95(constB83)) | (~v104(constB83)))))) | (~v94(constB83)) | (~((~v95(constB83)) | (~v104(constB83))))),
% 14.54/9.69 inference(tautology,[status(thm)],[])).
% 14.54/9.69 tff(6913,plain,
% 14.54/9.69 (~v94(constB83)),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6912, 6911, 6894])).
% 14.54/9.69 tff(6914,plain,
% 14.54/9.69 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB83) | (~nextState(constB82, constB83)) | (~(((~v84(constB83, 1)) <=> v84(constB82, 1)) | ((~v84(constB83, 2)) <=> v84(constB82, 2)) | ((~v84(constB83, 0)) <=> v84(constB82, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB83) | (~nextState(constB82, constB83)) | (~(((~v84(constB83, 1)) <=> v84(constB82, 1)) | ((~v84(constB83, 2)) <=> v84(constB82, 2)) | ((~v84(constB83, 0)) <=> v84(constB82, 0)))))),
% 14.54/9.69 inference(rewrite,[status(thm)],[])).
% 14.54/9.69 tff(6915,plain,
% 14.54/9.69 ((v94(constB83) | (~nextState(constB82, constB83)) | (~(((~v84(constB83, 2)) <=> v84(constB82, 2)) | ((~v84(constB83, 1)) <=> v84(constB82, 1)) | ((~v84(constB83, 0)) <=> v84(constB82, 0))))) <=> (v94(constB83) | (~nextState(constB82, constB83)) | (~(((~v84(constB83, 1)) <=> v84(constB82, 1)) | ((~v84(constB83, 2)) <=> v84(constB82, 2)) | ((~v84(constB83, 0)) <=> v84(constB82, 0)))))),
% 14.54/9.69 inference(rewrite,[status(thm)],[])).
% 14.54/9.69 tff(6916,plain,
% 14.54/9.69 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB83) | (~nextState(constB82, constB83)) | (~(((~v84(constB83, 2)) <=> v84(constB82, 2)) | ((~v84(constB83, 1)) <=> v84(constB82, 1)) | ((~v84(constB83, 0)) <=> v84(constB82, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB83) | (~nextState(constB82, constB83)) | (~(((~v84(constB83, 1)) <=> v84(constB82, 1)) | ((~v84(constB83, 2)) <=> v84(constB82, 2)) | ((~v84(constB83, 0)) <=> v84(constB82, 0))))))),
% 14.54/9.69 inference(monotonicity,[status(thm)],[6915])).
% 14.54/9.69 tff(6917,plain,
% 14.54/9.69 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB83) | (~nextState(constB82, constB83)) | (~(((~v84(constB83, 2)) <=> v84(constB82, 2)) | ((~v84(constB83, 1)) <=> v84(constB82, 1)) | ((~v84(constB83, 0)) <=> v84(constB82, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB83) | (~nextState(constB82, constB83)) | (~(((~v84(constB83, 1)) <=> v84(constB82, 1)) | ((~v84(constB83, 2)) <=> v84(constB82, 2)) | ((~v84(constB83, 0)) <=> v84(constB82, 0)))))),
% 14.54/9.69 inference(transitivity,[status(thm)],[6916, 6914])).
% 14.54/9.69 tff(6918,plain,
% 14.54/9.69 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB83) | (~nextState(constB82, constB83)) | (~(((~v84(constB83, 2)) <=> v84(constB82, 2)) | ((~v84(constB83, 1)) <=> v84(constB82, 1)) | ((~v84(constB83, 0)) <=> v84(constB82, 0)))))),
% 14.54/9.69 inference(quant_inst,[status(thm)],[])).
% 14.54/9.69 tff(6919,plain,
% 14.54/9.69 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB83) | (~nextState(constB82, constB83)) | (~(((~v84(constB83, 1)) <=> v84(constB82, 1)) | ((~v84(constB83, 2)) <=> v84(constB82, 2)) | ((~v84(constB83, 0)) <=> v84(constB82, 0))))),
% 14.54/9.69 inference(modus_ponens,[status(thm)],[6918, 6917])).
% 14.54/9.69 tff(6920,plain,
% 14.54/9.69 (v94(constB83) | (~(((~v84(constB83, 1)) <=> v84(constB82, 1)) | ((~v84(constB83, 2)) <=> v84(constB82, 2)) | ((~v84(constB83, 0)) <=> v84(constB82, 0))))),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6919, 6890, 819])).
% 14.54/9.69 tff(6921,plain,
% 14.54/9.69 (~(((~v84(constB83, 1)) <=> v84(constB82, 1)) | ((~v84(constB83, 2)) <=> v84(constB82, 2)) | ((~v84(constB83, 0)) <=> v84(constB82, 0)))),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6920, 6913])).
% 14.54/9.69 tff(6922,plain,
% 14.54/9.69 ((((~v84(constB83, 1)) <=> v84(constB82, 1)) | ((~v84(constB83, 2)) <=> v84(constB82, 2)) | ((~v84(constB83, 0)) <=> v84(constB82, 0))) | (~((~v84(constB83, 2)) <=> v84(constB82, 2)))),
% 14.54/9.69 inference(tautology,[status(thm)],[])).
% 14.54/9.69 tff(6923,plain,
% 14.54/9.69 (~((~v84(constB83, 2)) <=> v84(constB82, 2))),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6922, 6921])).
% 14.54/9.69 tff(6924,plain,
% 14.54/9.69 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 14.54/9.69 inference(rewrite,[status(thm)],[])).
% 14.54/9.69 tff(6925,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_81')).
% 14.54/9.69 tff(6926,plain,
% 14.54/9.69 (nextState(constB81, constB82)),
% 14.54/9.69 inference(modus_ponens,[status(thm)],[6925, 6924])).
% 14.54/9.69 tff(6927,plain,
% 14.54/9.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB81, constB82)) | (~(((~v123(constB82, 2)) <=> v121(constB81, 2)) | ((~v123(constB82, 1)) <=> v121(constB81, 1)) | ((~v123(constB82, 0)) <=> v121(constB81, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB81, constB82)) | (~(((~v123(constB82, 2)) <=> v121(constB81, 2)) | ((~v123(constB82, 1)) <=> v121(constB81, 1)) | ((~v123(constB82, 0)) <=> v121(constB81, 0)))))),
% 14.54/9.69 inference(rewrite,[status(thm)],[])).
% 14.54/9.69 tff(6928,plain,
% 14.54/9.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB81, constB82)) | (~(((~v123(constB82, 2)) <=> v121(constB81, 2)) | ((~v123(constB82, 1)) <=> v121(constB81, 1)) | ((~v123(constB82, 0)) <=> v121(constB81, 0)))))),
% 14.54/9.69 inference(quant_inst,[status(thm)],[])).
% 14.54/9.69 tff(6929,plain,
% 14.54/9.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB81, constB82)) | (~(((~v123(constB82, 2)) <=> v121(constB81, 2)) | ((~v123(constB82, 1)) <=> v121(constB81, 1)) | ((~v123(constB82, 0)) <=> v121(constB81, 0))))),
% 14.54/9.69 inference(modus_ponens,[status(thm)],[6928, 6927])).
% 14.54/9.69 tff(6930,plain,
% 14.54/9.69 (~(((~v123(constB82, 2)) <=> v121(constB81, 2)) | ((~v123(constB82, 1)) <=> v121(constB81, 1)) | ((~v123(constB82, 0)) <=> v121(constB81, 0)))),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6929, 6926, 842])).
% 14.54/9.69 tff(6931,plain,
% 14.54/9.69 ((((~v123(constB82, 2)) <=> v121(constB81, 2)) | ((~v123(constB82, 1)) <=> v121(constB81, 1)) | ((~v123(constB82, 0)) <=> v121(constB81, 0))) | (~((~v123(constB82, 2)) <=> v121(constB81, 2)))),
% 14.54/9.69 inference(tautology,[status(thm)],[])).
% 14.54/9.69 tff(6932,plain,
% 14.54/9.69 (~((~v123(constB82, 2)) <=> v121(constB81, 2))),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6931, 6930])).
% 14.54/9.69 tff(6933,plain,
% 14.54/9.69 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB81) <=> v26(constB81))),
% 14.54/9.69 inference(quant_inst,[status(thm)],[])).
% 14.54/9.69 tff(6934,plain,
% 14.54/9.69 (v105(constB81) <=> v26(constB81)),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6933, 861])).
% 14.54/9.69 tff(6935,plain,
% 14.54/9.69 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB81))),
% 14.54/9.69 inference(quant_inst,[status(thm)],[])).
% 14.54/9.69 tff(6936,plain,
% 14.54/9.69 (~v26(constB81)),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6935, 873])).
% 14.54/9.69 tff(6937,plain,
% 14.54/9.69 ((~(v105(constB81) <=> v26(constB81))) | (~v105(constB81)) | v26(constB81)),
% 14.54/9.69 inference(tautology,[status(thm)],[])).
% 14.54/9.69 tff(6938,plain,
% 14.54/9.69 ((~(v105(constB81) <=> v26(constB81))) | (~v105(constB81))),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6937, 6936])).
% 14.54/9.69 tff(6939,plain,
% 14.54/9.69 (~v105(constB81)),
% 14.54/9.69 inference(unit_resolution,[status(thm)],[6938, 6934])).
% 14.54/9.69 tff(6940,plain,
% 14.54/9.69 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB81) | (~(((~v121(constB81, 2)) <=> v124(constB81, 2)) | ((~v121(constB81, 0)) <=> v124(constB81, 0)) | ((~v121(constB81, 1)) <=> v124(constB81, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB81) | (~(((~v121(constB81, 2)) <=> v124(constB81, 2)) | ((~v121(constB81, 0)) <=> v124(constB81, 0)) | ((~v121(constB81, 1)) <=> v124(constB81, 1)))))),
% 14.54/9.69 inference(rewrite,[status(thm)],[])).
% 14.54/9.70 tff(6941,plain,
% 14.54/9.70 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB81) | (~(((~v121(constB81, 2)) <=> v124(constB81, 2)) | ((~v121(constB81, 0)) <=> v124(constB81, 0)) | ((~v121(constB81, 1)) <=> v124(constB81, 1)))))),
% 14.54/9.70 inference(quant_inst,[status(thm)],[])).
% 14.54/9.70 tff(6942,plain,
% 14.54/9.70 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB81) | (~(((~v121(constB81, 2)) <=> v124(constB81, 2)) | ((~v121(constB81, 0)) <=> v124(constB81, 0)) | ((~v121(constB81, 1)) <=> v124(constB81, 1))))),
% 14.54/9.70 inference(modus_ponens,[status(thm)],[6941, 6940])).
% 14.54/9.70 tff(6943,plain,
% 14.54/9.70 (v105(constB81) | (~(((~v121(constB81, 2)) <=> v124(constB81, 2)) | ((~v121(constB81, 0)) <=> v124(constB81, 0)) | ((~v121(constB81, 1)) <=> v124(constB81, 1))))),
% 14.54/9.70 inference(unit_resolution,[status(thm)],[6942, 891])).
% 14.54/9.70 tff(6944,plain,
% 14.54/9.70 (~(((~v121(constB81, 2)) <=> v124(constB81, 2)) | ((~v121(constB81, 0)) <=> v124(constB81, 0)) | ((~v121(constB81, 1)) <=> v124(constB81, 1)))),
% 14.54/9.70 inference(unit_resolution,[status(thm)],[6943, 6939])).
% 14.54/9.70 tff(6945,plain,
% 14.54/9.70 ((((~v121(constB81, 2)) <=> v124(constB81, 2)) | ((~v121(constB81, 0)) <=> v124(constB81, 0)) | ((~v121(constB81, 1)) <=> v124(constB81, 1))) | (~((~v121(constB81, 2)) <=> v124(constB81, 2)))),
% 14.54/9.70 inference(tautology,[status(thm)],[])).
% 14.54/9.70 tff(6946,plain,
% 14.54/9.70 (~((~v121(constB81, 2)) <=> v124(constB81, 2))),
% 14.54/9.70 inference(unit_resolution,[status(thm)],[6945, 6944])).
% 14.54/9.70 tff(6947,plain,
% 14.54/9.70 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 1)) | (~v84(constB81, 0)))))),
% 14.54/9.70 inference(quant_inst,[status(thm)],[])).
% 14.54/9.70 tff(6948,plain,
% 14.54/9.70 (v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 1)) | (~v84(constB81, 0))))),
% 14.54/9.70 inference(unit_resolution,[status(thm)],[6947, 911])).
% 14.54/9.70 tff(6949,plain,
% 14.54/9.70 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 14.54/9.70 inference(rewrite,[status(thm)],[])).
% 14.54/9.70 tff(6950,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_80')).
% 14.54/9.70 tff(6951,plain,
% 14.54/9.70 (nextState(constB80, constB81)),
% 14.54/9.70 inference(modus_ponens,[status(thm)],[6950, 6949])).
% 14.54/9.70 tff(6952,plain,
% 14.54/9.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB80, constB81)) | (v94(constB81) <=> (~((~v95(constB81)) | (~v104(constB81))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB80, constB81)) | (v94(constB81) <=> (~((~v95(constB81)) | (~v104(constB81))))))),
% 14.54/9.70 inference(rewrite,[status(thm)],[])).
% 14.54/9.70 tff(6953,plain,
% 14.54/9.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB80, constB81)) | (v94(constB81) <=> (~((~v95(constB81)) | (~v104(constB81))))))),
% 14.54/9.70 inference(quant_inst,[status(thm)],[])).
% 14.54/9.70 tff(6954,plain,
% 14.54/9.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB80, constB81)) | (v94(constB81) <=> (~((~v95(constB81)) | (~v104(constB81)))))),
% 14.54/9.70 inference(modus_ponens,[status(thm)],[6953, 6952])).
% 14.54/9.70 tff(6955,plain,
% 14.54/9.70 (v94(constB81) <=> (~((~v95(constB81)) | (~v104(constB81))))),
% 14.54/9.70 inference(unit_resolution,[status(thm)],[6954, 6951, 770])).
% 14.54/9.70 tff(6956,plain,
% 14.54/9.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81))))))),
% 14.57/9.70 inference(rewrite,[status(thm)],[])).
% 14.57/9.70 tff(6957,plain,
% 14.57/9.70 (((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v96(constB81)) | (~v1(constB81)))))) <=> ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81))))))),
% 14.57/9.70 inference(rewrite,[status(thm)],[])).
% 14.57/9.70 tff(6958,plain,
% 14.57/9.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v96(constB81)) | (~v1(constB81))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81)))))))),
% 14.57/9.70 inference(monotonicity,[status(thm)],[6957])).
% 14.57/9.70 tff(6959,plain,
% 14.57/9.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v96(constB81)) | (~v1(constB81))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81))))))),
% 14.57/9.70 inference(transitivity,[status(thm)],[6958, 6956])).
% 14.57/9.70 tff(6960,plain,
% 14.57/9.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v96(constB81)) | (~v1(constB81))))))),
% 14.57/9.70 inference(quant_inst,[status(thm)],[])).
% 14.57/9.70 tff(6961,plain,
% 14.57/9.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81)))))),
% 14.57/9.70 inference(modus_ponens,[status(thm)],[6960, 6959])).
% 14.57/9.70 tff(6962,plain,
% 14.57/9.70 (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81))))),
% 14.57/9.70 inference(unit_resolution,[status(thm)],[6961, 6951, 790])).
% 14.57/9.70 tff(6963,plain,
% 14.57/9.70 ((~v1(constB81)) <=> (~v1(constB81))),
% 14.57/9.70 inference(rewrite,[status(thm)],[])).
% 14.57/9.70 tff(6964,axiom,(~v1(constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_81')).
% 14.57/9.70 tff(6965,plain,
% 14.57/9.70 (~v1(constB81)),
% 14.57/9.70 inference(modus_ponens,[status(thm)],[6964, 6963])).
% 14.57/9.70 tff(6966,plain,
% 14.57/9.70 (((~v1(constB81)) | (~v96(constB81))) | v1(constB81)),
% 14.57/9.70 inference(tautology,[status(thm)],[])).
% 14.57/9.70 tff(6967,plain,
% 14.57/9.70 ((~v1(constB81)) | (~v96(constB81))),
% 14.57/9.70 inference(unit_resolution,[status(thm)],[6966, 6965])).
% 14.57/9.70 tff(6968,plain,
% 14.57/9.70 ((~(v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81)))))) | (~v95(constB81)) | (~((~v1(constB81)) | (~v96(constB81))))),
% 14.57/9.70 inference(tautology,[status(thm)],[])).
% 14.57/9.70 tff(6969,plain,
% 14.57/9.70 ((~(v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81)))))) | (~v95(constB81))),
% 14.57/9.70 inference(unit_resolution,[status(thm)],[6968, 6967])).
% 14.57/9.70 tff(6970,plain,
% 14.57/9.70 (~v95(constB81)),
% 14.57/9.70 inference(unit_resolution,[status(thm)],[6969, 6962])).
% 14.57/9.70 tff(6971,plain,
% 14.57/9.70 (((~v95(constB81)) | (~v104(constB81))) | v95(constB81)),
% 14.57/9.70 inference(tautology,[status(thm)],[])).
% 14.57/9.70 tff(6972,plain,
% 14.57/9.70 ((~v95(constB81)) | (~v104(constB81))),
% 14.57/9.70 inference(unit_resolution,[status(thm)],[6971, 6970])).
% 14.57/9.70 tff(6973,plain,
% 14.57/9.70 ((~(v94(constB81) <=> (~((~v95(constB81)) | (~v104(constB81)))))) | (~v94(constB81)) | (~((~v95(constB81)) | (~v104(constB81))))),
% 14.57/9.70 inference(tautology,[status(thm)],[])).
% 14.57/9.70 tff(6974,plain,
% 14.57/9.70 (~v94(constB81)),
% 14.57/9.70 inference(unit_resolution,[status(thm)],[6973, 6972, 6955])).
% 14.57/9.70 tff(6975,plain,
% 14.57/9.70 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB81) | (~nextState(constB80, constB81)) | (~(((~v84(constB81, 1)) <=> v84(constB80, 1)) | ((~v84(constB81, 2)) <=> v84(constB80, 2)) | ((~v84(constB81, 0)) <=> v84(constB80, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB81) | (~nextState(constB80, constB81)) | (~(((~v84(constB81, 1)) <=> v84(constB80, 1)) | ((~v84(constB81, 2)) <=> v84(constB80, 2)) | ((~v84(constB81, 0)) <=> v84(constB80, 0)))))),
% 14.57/9.70 inference(rewrite,[status(thm)],[])).
% 14.57/9.70 tff(6976,plain,
% 14.57/9.70 ((v94(constB81) | (~nextState(constB80, constB81)) | (~(((~v84(constB81, 2)) <=> v84(constB80, 2)) | ((~v84(constB81, 1)) <=> v84(constB80, 1)) | ((~v84(constB81, 0)) <=> v84(constB80, 0))))) <=> (v94(constB81) | (~nextState(constB80, constB81)) | (~(((~v84(constB81, 1)) <=> v84(constB80, 1)) | ((~v84(constB81, 2)) <=> v84(constB80, 2)) | ((~v84(constB81, 0)) <=> v84(constB80, 0)))))),
% 14.57/9.70 inference(rewrite,[status(thm)],[])).
% 14.57/9.70 tff(6977,plain,
% 14.57/9.70 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB81) | (~nextState(constB80, constB81)) | (~(((~v84(constB81, 2)) <=> v84(constB80, 2)) | ((~v84(constB81, 1)) <=> v84(constB80, 1)) | ((~v84(constB81, 0)) <=> v84(constB80, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB81) | (~nextState(constB80, constB81)) | (~(((~v84(constB81, 1)) <=> v84(constB80, 1)) | ((~v84(constB81, 2)) <=> v84(constB80, 2)) | ((~v84(constB81, 0)) <=> v84(constB80, 0))))))),
% 14.57/9.70 inference(monotonicity,[status(thm)],[6976])).
% 14.57/9.70 tff(6978,plain,
% 14.57/9.70 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB81) | (~nextState(constB80, constB81)) | (~(((~v84(constB81, 2)) <=> v84(constB80, 2)) | ((~v84(constB81, 1)) <=> v84(constB80, 1)) | ((~v84(constB81, 0)) <=> v84(constB80, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB81) | (~nextState(constB80, constB81)) | (~(((~v84(constB81, 1)) <=> v84(constB80, 1)) | ((~v84(constB81, 2)) <=> v84(constB80, 2)) | ((~v84(constB81, 0)) <=> v84(constB80, 0)))))),
% 14.57/9.70 inference(transitivity,[status(thm)],[6977, 6975])).
% 14.57/9.70 tff(6979,plain,
% 14.57/9.70 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB81) | (~nextState(constB80, constB81)) | (~(((~v84(constB81, 2)) <=> v84(constB80, 2)) | ((~v84(constB81, 1)) <=> v84(constB80, 1)) | ((~v84(constB81, 0)) <=> v84(constB80, 0)))))),
% 14.57/9.70 inference(quant_inst,[status(thm)],[])).
% 14.57/9.70 tff(6980,plain,
% 14.57/9.70 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB81) | (~nextState(constB80, constB81)) | (~(((~v84(constB81, 1)) <=> v84(constB80, 1)) | ((~v84(constB81, 2)) <=> v84(constB80, 2)) | ((~v84(constB81, 0)) <=> v84(constB80, 0))))),
% 14.57/9.70 inference(modus_ponens,[status(thm)],[6979, 6978])).
% 14.57/9.70 tff(6981,plain,
% 14.57/9.70 (v94(constB81) | (~(((~v84(constB81, 1)) <=> v84(constB80, 1)) | ((~v84(constB81, 2)) <=> v84(constB80, 2)) | ((~v84(constB81, 0)) <=> v84(constB80, 0))))),
% 14.57/9.70 inference(unit_resolution,[status(thm)],[6980, 6951, 819])).
% 14.57/9.70 tff(6982,plain,
% 14.57/9.70 (~(((~v84(constB81, 1)) <=> v84(constB80, 1)) | ((~v84(constB81, 2)) <=> v84(constB80, 2)) | ((~v84(constB81, 0)) <=> v84(constB80, 0)))),
% 14.57/9.70 inference(unit_resolution,[status(thm)],[6981, 6974])).
% 14.57/9.70 tff(6983,plain,
% 14.57/9.70 ((((~v84(constB81, 1)) <=> v84(constB80, 1)) | ((~v84(constB81, 2)) <=> v84(constB80, 2)) | ((~v84(constB81, 0)) <=> v84(constB80, 0))) | (~((~v84(constB81, 2)) <=> v84(constB80, 2)))),
% 14.57/9.70 inference(tautology,[status(thm)],[])).
% 14.57/9.70 tff(6984,plain,
% 14.57/9.70 (~((~v84(constB81, 2)) <=> v84(constB80, 2))),
% 14.57/9.70 inference(unit_resolution,[status(thm)],[6983, 6982])).
% 14.57/9.70 tff(6985,plain,
% 14.57/9.70 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 14.57/9.70 inference(rewrite,[status(thm)],[])).
% 14.57/9.70 tff(6986,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_79')).
% 14.57/9.70 tff(6987,plain,
% 14.57/9.70 (nextState(constB79, constB80)),
% 14.57/9.70 inference(modus_ponens,[status(thm)],[6986, 6985])).
% 14.57/9.70 tff(6988,plain,
% 14.57/9.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB79, constB80)) | (~(((~v123(constB80, 2)) <=> v121(constB79, 2)) | ((~v123(constB80, 1)) <=> v121(constB79, 1)) | ((~v123(constB80, 0)) <=> v121(constB79, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB79, constB80)) | (~(((~v123(constB80, 2)) <=> v121(constB79, 2)) | ((~v123(constB80, 1)) <=> v121(constB79, 1)) | ((~v123(constB80, 0)) <=> v121(constB79, 0)))))),
% 14.57/9.70 inference(rewrite,[status(thm)],[])).
% 14.57/9.70 tff(6989,plain,
% 14.57/9.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB79, constB80)) | (~(((~v123(constB80, 2)) <=> v121(constB79, 2)) | ((~v123(constB80, 1)) <=> v121(constB79, 1)) | ((~v123(constB80, 0)) <=> v121(constB79, 0)))))),
% 14.57/9.70 inference(quant_inst,[status(thm)],[])).
% 14.57/9.70 tff(6990,plain,
% 14.57/9.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB79, constB80)) | (~(((~v123(constB80, 2)) <=> v121(constB79, 2)) | ((~v123(constB80, 1)) <=> v121(constB79, 1)) | ((~v123(constB80, 0)) <=> v121(constB79, 0))))),
% 14.57/9.70 inference(modus_ponens,[status(thm)],[6989, 6988])).
% 14.57/9.70 tff(6991,plain,
% 14.57/9.70 (~(((~v123(constB80, 2)) <=> v121(constB79, 2)) | ((~v123(constB80, 1)) <=> v121(constB79, 1)) | ((~v123(constB80, 0)) <=> v121(constB79, 0)))),
% 14.57/9.70 inference(unit_resolution,[status(thm)],[6990, 6987, 842])).
% 14.57/9.70 tff(6992,plain,
% 14.57/9.70 ((((~v123(constB80, 2)) <=> v121(constB79, 2)) | ((~v123(constB80, 1)) <=> v121(constB79, 1)) | ((~v123(constB80, 0)) <=> v121(constB79, 0))) | (~((~v123(constB80, 2)) <=> v121(constB79, 2)))),
% 14.57/9.70 inference(tautology,[status(thm)],[])).
% 14.57/9.70 tff(6993,plain,
% 14.57/9.70 (~((~v123(constB80, 2)) <=> v121(constB79, 2))),
% 14.57/9.70 inference(unit_resolution,[status(thm)],[6992, 6991])).
% 14.57/9.70 tff(6994,plain,
% 14.57/9.70 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB79) <=> v26(constB79))),
% 14.57/9.70 inference(quant_inst,[status(thm)],[])).
% 14.57/9.70 tff(6995,plain,
% 14.57/9.70 (v105(constB79) <=> v26(constB79)),
% 14.57/9.70 inference(unit_resolution,[status(thm)],[6994, 861])).
% 14.57/9.70 tff(6996,plain,
% 14.57/9.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB79))),
% 14.57/9.70 inference(quant_inst,[status(thm)],[])).
% 14.57/9.71 tff(6997,plain,
% 14.57/9.71 (~v26(constB79)),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[6996, 873])).
% 14.57/9.71 tff(6998,plain,
% 14.57/9.71 ((~(v105(constB79) <=> v26(constB79))) | (~v105(constB79)) | v26(constB79)),
% 14.57/9.71 inference(tautology,[status(thm)],[])).
% 14.57/9.71 tff(6999,plain,
% 14.57/9.71 ((~(v105(constB79) <=> v26(constB79))) | (~v105(constB79))),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[6998, 6997])).
% 14.57/9.71 tff(7000,plain,
% 14.57/9.71 (~v105(constB79)),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[6999, 6995])).
% 14.57/9.71 tff(7001,plain,
% 14.57/9.71 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB79) | (~(((~v121(constB79, 2)) <=> v124(constB79, 2)) | ((~v121(constB79, 0)) <=> v124(constB79, 0)) | ((~v121(constB79, 1)) <=> v124(constB79, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB79) | (~(((~v121(constB79, 2)) <=> v124(constB79, 2)) | ((~v121(constB79, 0)) <=> v124(constB79, 0)) | ((~v121(constB79, 1)) <=> v124(constB79, 1)))))),
% 14.57/9.71 inference(rewrite,[status(thm)],[])).
% 14.57/9.71 tff(7002,plain,
% 14.57/9.71 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB79) | (~(((~v121(constB79, 2)) <=> v124(constB79, 2)) | ((~v121(constB79, 0)) <=> v124(constB79, 0)) | ((~v121(constB79, 1)) <=> v124(constB79, 1)))))),
% 14.57/9.71 inference(quant_inst,[status(thm)],[])).
% 14.57/9.71 tff(7003,plain,
% 14.57/9.71 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB79) | (~(((~v121(constB79, 2)) <=> v124(constB79, 2)) | ((~v121(constB79, 0)) <=> v124(constB79, 0)) | ((~v121(constB79, 1)) <=> v124(constB79, 1))))),
% 14.57/9.71 inference(modus_ponens,[status(thm)],[7002, 7001])).
% 14.57/9.71 tff(7004,plain,
% 14.57/9.71 (v105(constB79) | (~(((~v121(constB79, 2)) <=> v124(constB79, 2)) | ((~v121(constB79, 0)) <=> v124(constB79, 0)) | ((~v121(constB79, 1)) <=> v124(constB79, 1))))),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[7003, 891])).
% 14.57/9.71 tff(7005,plain,
% 14.57/9.71 (~(((~v121(constB79, 2)) <=> v124(constB79, 2)) | ((~v121(constB79, 0)) <=> v124(constB79, 0)) | ((~v121(constB79, 1)) <=> v124(constB79, 1)))),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[7004, 7000])).
% 14.57/9.71 tff(7006,plain,
% 14.57/9.71 ((((~v121(constB79, 2)) <=> v124(constB79, 2)) | ((~v121(constB79, 0)) <=> v124(constB79, 0)) | ((~v121(constB79, 1)) <=> v124(constB79, 1))) | (~((~v121(constB79, 2)) <=> v124(constB79, 2)))),
% 14.57/9.71 inference(tautology,[status(thm)],[])).
% 14.57/9.71 tff(7007,plain,
% 14.57/9.71 (~((~v121(constB79, 2)) <=> v124(constB79, 2))),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[7006, 7005])).
% 14.57/9.71 tff(7008,plain,
% 14.57/9.71 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))))))),
% 14.57/9.71 inference(rewrite,[status(thm)],[])).
% 14.57/9.71 tff(7009,plain,
% 14.57/9.71 ((v115(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 2) | (~v84(constB79, 1))))) <=> (v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))))),
% 14.57/9.71 inference(rewrite,[status(thm)],[])).
% 14.57/9.71 tff(7010,plain,
% 14.57/9.71 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 2) | (~v84(constB79, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))))))),
% 14.57/9.71 inference(monotonicity,[status(thm)],[7009])).
% 14.57/9.71 tff(7011,plain,
% 14.57/9.71 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 2) | (~v84(constB79, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))))))),
% 14.57/9.71 inference(transitivity,[status(thm)],[7010, 7008])).
% 14.57/9.71 tff(7012,plain,
% 14.57/9.71 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 0) | v84(constB79, 2) | (~v84(constB79, 1)))))),
% 14.57/9.71 inference(quant_inst,[status(thm)],[])).
% 14.57/9.71 tff(7013,plain,
% 14.57/9.71 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))))),
% 14.57/9.71 inference(modus_ponens,[status(thm)],[7012, 7011])).
% 14.57/9.71 tff(7014,plain,
% 14.57/9.71 (v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))))),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[7013, 985])).
% 14.57/9.71 tff(7015,plain,
% 14.57/9.71 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 14.57/9.71 inference(rewrite,[status(thm)],[])).
% 14.57/9.71 tff(7016,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_78')).
% 14.57/9.71 tff(7017,plain,
% 14.57/9.71 (nextState(constB78, constB79)),
% 14.57/9.71 inference(modus_ponens,[status(thm)],[7016, 7015])).
% 14.57/9.71 tff(7018,plain,
% 14.57/9.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB78, constB79)) | (v94(constB79) <=> (~((~v95(constB79)) | (~v104(constB79))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB78, constB79)) | (v94(constB79) <=> (~((~v95(constB79)) | (~v104(constB79))))))),
% 14.57/9.71 inference(rewrite,[status(thm)],[])).
% 14.57/9.71 tff(7019,plain,
% 14.57/9.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB78, constB79)) | (v94(constB79) <=> (~((~v95(constB79)) | (~v104(constB79))))))),
% 14.57/9.71 inference(quant_inst,[status(thm)],[])).
% 14.57/9.71 tff(7020,plain,
% 14.57/9.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB78, constB79)) | (v94(constB79) <=> (~((~v95(constB79)) | (~v104(constB79)))))),
% 14.57/9.71 inference(modus_ponens,[status(thm)],[7019, 7018])).
% 14.57/9.71 tff(7021,plain,
% 14.57/9.71 (v94(constB79) <=> (~((~v95(constB79)) | (~v104(constB79))))),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[7020, 7017, 770])).
% 14.57/9.71 tff(7022,plain,
% 14.57/9.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79))))))),
% 14.57/9.71 inference(rewrite,[status(thm)],[])).
% 14.57/9.71 tff(7023,plain,
% 14.57/9.71 (((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v96(constB79)) | (~v1(constB79)))))) <=> ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79))))))),
% 14.57/9.71 inference(rewrite,[status(thm)],[])).
% 14.57/9.71 tff(7024,plain,
% 14.57/9.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v96(constB79)) | (~v1(constB79))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79)))))))),
% 14.57/9.71 inference(monotonicity,[status(thm)],[7023])).
% 14.57/9.71 tff(7025,plain,
% 14.57/9.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v96(constB79)) | (~v1(constB79))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79))))))),
% 14.57/9.71 inference(transitivity,[status(thm)],[7024, 7022])).
% 14.57/9.71 tff(7026,plain,
% 14.57/9.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v96(constB79)) | (~v1(constB79))))))),
% 14.57/9.71 inference(quant_inst,[status(thm)],[])).
% 14.57/9.71 tff(7027,plain,
% 14.57/9.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79)))))),
% 14.57/9.71 inference(modus_ponens,[status(thm)],[7026, 7025])).
% 14.57/9.71 tff(7028,plain,
% 14.57/9.71 (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79))))),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[7027, 7017, 790])).
% 14.57/9.71 tff(7029,plain,
% 14.57/9.71 ((~v1(constB79)) <=> (~v1(constB79))),
% 14.57/9.71 inference(rewrite,[status(thm)],[])).
% 14.57/9.71 tff(7030,axiom,(~v1(constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_79')).
% 14.57/9.71 tff(7031,plain,
% 14.57/9.71 (~v1(constB79)),
% 14.57/9.71 inference(modus_ponens,[status(thm)],[7030, 7029])).
% 14.57/9.71 tff(7032,plain,
% 14.57/9.71 (((~v1(constB79)) | (~v96(constB79))) | v1(constB79)),
% 14.57/9.71 inference(tautology,[status(thm)],[])).
% 14.57/9.71 tff(7033,plain,
% 14.57/9.71 ((~v1(constB79)) | (~v96(constB79))),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[7032, 7031])).
% 14.57/9.71 tff(7034,plain,
% 14.57/9.71 ((~(v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79)))))) | (~v95(constB79)) | (~((~v1(constB79)) | (~v96(constB79))))),
% 14.57/9.71 inference(tautology,[status(thm)],[])).
% 14.57/9.71 tff(7035,plain,
% 14.57/9.71 ((~(v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79)))))) | (~v95(constB79))),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[7034, 7033])).
% 14.57/9.71 tff(7036,plain,
% 14.57/9.71 (~v95(constB79)),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[7035, 7028])).
% 14.57/9.71 tff(7037,plain,
% 14.57/9.71 (((~v95(constB79)) | (~v104(constB79))) | v95(constB79)),
% 14.57/9.71 inference(tautology,[status(thm)],[])).
% 14.57/9.71 tff(7038,plain,
% 14.57/9.71 ((~v95(constB79)) | (~v104(constB79))),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[7037, 7036])).
% 14.57/9.71 tff(7039,plain,
% 14.57/9.71 ((~(v94(constB79) <=> (~((~v95(constB79)) | (~v104(constB79)))))) | (~v94(constB79)) | (~((~v95(constB79)) | (~v104(constB79))))),
% 14.57/9.71 inference(tautology,[status(thm)],[])).
% 14.57/9.71 tff(7040,plain,
% 14.57/9.71 (~v94(constB79)),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[7039, 7038, 7021])).
% 14.57/9.71 tff(7041,plain,
% 14.57/9.71 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB79) | (~nextState(constB78, constB79)) | (~(((~v84(constB79, 1)) <=> v84(constB78, 1)) | ((~v84(constB79, 2)) <=> v84(constB78, 2)) | ((~v84(constB79, 0)) <=> v84(constB78, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB79) | (~nextState(constB78, constB79)) | (~(((~v84(constB79, 1)) <=> v84(constB78, 1)) | ((~v84(constB79, 2)) <=> v84(constB78, 2)) | ((~v84(constB79, 0)) <=> v84(constB78, 0)))))),
% 14.57/9.71 inference(rewrite,[status(thm)],[])).
% 14.57/9.71 tff(7042,plain,
% 14.57/9.71 ((v94(constB79) | (~nextState(constB78, constB79)) | (~(((~v84(constB79, 2)) <=> v84(constB78, 2)) | ((~v84(constB79, 1)) <=> v84(constB78, 1)) | ((~v84(constB79, 0)) <=> v84(constB78, 0))))) <=> (v94(constB79) | (~nextState(constB78, constB79)) | (~(((~v84(constB79, 1)) <=> v84(constB78, 1)) | ((~v84(constB79, 2)) <=> v84(constB78, 2)) | ((~v84(constB79, 0)) <=> v84(constB78, 0)))))),
% 14.57/9.71 inference(rewrite,[status(thm)],[])).
% 14.57/9.71 tff(7043,plain,
% 14.57/9.71 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB79) | (~nextState(constB78, constB79)) | (~(((~v84(constB79, 2)) <=> v84(constB78, 2)) | ((~v84(constB79, 1)) <=> v84(constB78, 1)) | ((~v84(constB79, 0)) <=> v84(constB78, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB79) | (~nextState(constB78, constB79)) | (~(((~v84(constB79, 1)) <=> v84(constB78, 1)) | ((~v84(constB79, 2)) <=> v84(constB78, 2)) | ((~v84(constB79, 0)) <=> v84(constB78, 0))))))),
% 14.57/9.71 inference(monotonicity,[status(thm)],[7042])).
% 14.57/9.71 tff(7044,plain,
% 14.57/9.71 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB79) | (~nextState(constB78, constB79)) | (~(((~v84(constB79, 2)) <=> v84(constB78, 2)) | ((~v84(constB79, 1)) <=> v84(constB78, 1)) | ((~v84(constB79, 0)) <=> v84(constB78, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB79) | (~nextState(constB78, constB79)) | (~(((~v84(constB79, 1)) <=> v84(constB78, 1)) | ((~v84(constB79, 2)) <=> v84(constB78, 2)) | ((~v84(constB79, 0)) <=> v84(constB78, 0)))))),
% 14.57/9.71 inference(transitivity,[status(thm)],[7043, 7041])).
% 14.57/9.71 tff(7045,plain,
% 14.57/9.71 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB79) | (~nextState(constB78, constB79)) | (~(((~v84(constB79, 2)) <=> v84(constB78, 2)) | ((~v84(constB79, 1)) <=> v84(constB78, 1)) | ((~v84(constB79, 0)) <=> v84(constB78, 0)))))),
% 14.57/9.71 inference(quant_inst,[status(thm)],[])).
% 14.57/9.71 tff(7046,plain,
% 14.57/9.71 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB79) | (~nextState(constB78, constB79)) | (~(((~v84(constB79, 1)) <=> v84(constB78, 1)) | ((~v84(constB79, 2)) <=> v84(constB78, 2)) | ((~v84(constB79, 0)) <=> v84(constB78, 0))))),
% 14.57/9.71 inference(modus_ponens,[status(thm)],[7045, 7044])).
% 14.57/9.71 tff(7047,plain,
% 14.57/9.71 (v94(constB79) | (~(((~v84(constB79, 1)) <=> v84(constB78, 1)) | ((~v84(constB79, 2)) <=> v84(constB78, 2)) | ((~v84(constB79, 0)) <=> v84(constB78, 0))))),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[7046, 7017, 819])).
% 14.57/9.71 tff(7048,plain,
% 14.57/9.71 (~(((~v84(constB79, 1)) <=> v84(constB78, 1)) | ((~v84(constB79, 2)) <=> v84(constB78, 2)) | ((~v84(constB79, 0)) <=> v84(constB78, 0)))),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[7047, 7040])).
% 14.57/9.71 tff(7049,plain,
% 14.57/9.71 ((((~v84(constB79, 1)) <=> v84(constB78, 1)) | ((~v84(constB79, 2)) <=> v84(constB78, 2)) | ((~v84(constB79, 0)) <=> v84(constB78, 0))) | (~((~v84(constB79, 2)) <=> v84(constB78, 2)))),
% 14.57/9.71 inference(tautology,[status(thm)],[])).
% 14.57/9.71 tff(7050,plain,
% 14.57/9.71 (~((~v84(constB79, 2)) <=> v84(constB78, 2))),
% 14.57/9.71 inference(unit_resolution,[status(thm)],[7049, 7048])).
% 14.57/9.71 tff(7051,plain,
% 14.57/9.71 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 14.57/9.72 inference(rewrite,[status(thm)],[])).
% 14.57/9.72 tff(7052,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_77')).
% 14.57/9.72 tff(7053,plain,
% 14.57/9.72 (nextState(constB77, constB78)),
% 14.57/9.72 inference(modus_ponens,[status(thm)],[7052, 7051])).
% 14.57/9.72 tff(7054,plain,
% 14.57/9.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB77, constB78)) | (~(((~v123(constB78, 2)) <=> v121(constB77, 2)) | ((~v123(constB78, 1)) <=> v121(constB77, 1)) | ((~v123(constB78, 0)) <=> v121(constB77, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB77, constB78)) | (~(((~v123(constB78, 2)) <=> v121(constB77, 2)) | ((~v123(constB78, 1)) <=> v121(constB77, 1)) | ((~v123(constB78, 0)) <=> v121(constB77, 0)))))),
% 14.57/9.72 inference(rewrite,[status(thm)],[])).
% 14.57/9.72 tff(7055,plain,
% 14.57/9.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB77, constB78)) | (~(((~v123(constB78, 2)) <=> v121(constB77, 2)) | ((~v123(constB78, 1)) <=> v121(constB77, 1)) | ((~v123(constB78, 0)) <=> v121(constB77, 0)))))),
% 14.57/9.72 inference(quant_inst,[status(thm)],[])).
% 14.57/9.72 tff(7056,plain,
% 14.57/9.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB77, constB78)) | (~(((~v123(constB78, 2)) <=> v121(constB77, 2)) | ((~v123(constB78, 1)) <=> v121(constB77, 1)) | ((~v123(constB78, 0)) <=> v121(constB77, 0))))),
% 14.57/9.72 inference(modus_ponens,[status(thm)],[7055, 7054])).
% 14.57/9.72 tff(7057,plain,
% 14.57/9.72 (~(((~v123(constB78, 2)) <=> v121(constB77, 2)) | ((~v123(constB78, 1)) <=> v121(constB77, 1)) | ((~v123(constB78, 0)) <=> v121(constB77, 0)))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[7056, 7053, 842])).
% 14.57/9.72 tff(7058,plain,
% 14.57/9.72 ((((~v123(constB78, 2)) <=> v121(constB77, 2)) | ((~v123(constB78, 1)) <=> v121(constB77, 1)) | ((~v123(constB78, 0)) <=> v121(constB77, 0))) | (~((~v123(constB78, 2)) <=> v121(constB77, 2)))),
% 14.57/9.72 inference(tautology,[status(thm)],[])).
% 14.57/9.72 tff(7059,plain,
% 14.57/9.72 (~((~v123(constB78, 2)) <=> v121(constB77, 2))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[7058, 7057])).
% 14.57/9.72 tff(7060,plain,
% 14.57/9.72 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB77) <=> v26(constB77))),
% 14.57/9.72 inference(quant_inst,[status(thm)],[])).
% 14.57/9.72 tff(7061,plain,
% 14.57/9.72 (v105(constB77) <=> v26(constB77)),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[7060, 861])).
% 14.57/9.72 tff(7062,plain,
% 14.57/9.72 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB77))),
% 14.57/9.72 inference(quant_inst,[status(thm)],[])).
% 14.57/9.72 tff(7063,plain,
% 14.57/9.72 (~v26(constB77)),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[7062, 873])).
% 14.57/9.72 tff(7064,plain,
% 14.57/9.72 ((~(v105(constB77) <=> v26(constB77))) | (~v105(constB77)) | v26(constB77)),
% 14.57/9.72 inference(tautology,[status(thm)],[])).
% 14.57/9.72 tff(7065,plain,
% 14.57/9.72 ((~(v105(constB77) <=> v26(constB77))) | (~v105(constB77))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[7064, 7063])).
% 14.57/9.72 tff(7066,plain,
% 14.57/9.72 (~v105(constB77)),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[7065, 7061])).
% 14.57/9.72 tff(7067,plain,
% 14.57/9.72 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB77) | (~(((~v121(constB77, 2)) <=> v124(constB77, 2)) | ((~v121(constB77, 0)) <=> v124(constB77, 0)) | ((~v121(constB77, 1)) <=> v124(constB77, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB77) | (~(((~v121(constB77, 2)) <=> v124(constB77, 2)) | ((~v121(constB77, 0)) <=> v124(constB77, 0)) | ((~v121(constB77, 1)) <=> v124(constB77, 1)))))),
% 14.57/9.72 inference(rewrite,[status(thm)],[])).
% 14.57/9.72 tff(7068,plain,
% 14.57/9.72 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB77) | (~(((~v121(constB77, 2)) <=> v124(constB77, 2)) | ((~v121(constB77, 0)) <=> v124(constB77, 0)) | ((~v121(constB77, 1)) <=> v124(constB77, 1)))))),
% 14.57/9.72 inference(quant_inst,[status(thm)],[])).
% 14.57/9.72 tff(7069,plain,
% 14.57/9.72 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB77) | (~(((~v121(constB77, 2)) <=> v124(constB77, 2)) | ((~v121(constB77, 0)) <=> v124(constB77, 0)) | ((~v121(constB77, 1)) <=> v124(constB77, 1))))),
% 14.57/9.72 inference(modus_ponens,[status(thm)],[7068, 7067])).
% 14.57/9.72 tff(7070,plain,
% 14.57/9.72 (v105(constB77) | (~(((~v121(constB77, 2)) <=> v124(constB77, 2)) | ((~v121(constB77, 0)) <=> v124(constB77, 0)) | ((~v121(constB77, 1)) <=> v124(constB77, 1))))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[7069, 891])).
% 14.57/9.72 tff(7071,plain,
% 14.57/9.72 (~(((~v121(constB77, 2)) <=> v124(constB77, 2)) | ((~v121(constB77, 0)) <=> v124(constB77, 0)) | ((~v121(constB77, 1)) <=> v124(constB77, 1)))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[7070, 7066])).
% 14.57/9.72 tff(7072,plain,
% 14.57/9.72 ((((~v121(constB77, 2)) <=> v124(constB77, 2)) | ((~v121(constB77, 0)) <=> v124(constB77, 0)) | ((~v121(constB77, 1)) <=> v124(constB77, 1))) | (~((~v121(constB77, 2)) <=> v124(constB77, 2)))),
% 14.57/9.72 inference(tautology,[status(thm)],[])).
% 14.57/9.72 tff(7073,plain,
% 14.57/9.72 (~((~v121(constB77, 2)) <=> v124(constB77, 2))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[7072, 7071])).
% 14.57/9.72 tff(7074,plain,
% 14.57/9.72 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB77) <=> (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))))),
% 14.57/9.72 inference(quant_inst,[status(thm)],[])).
% 14.57/9.72 tff(7075,plain,
% 14.57/9.72 (v114(constB77) <=> (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[7074, 1064])).
% 14.57/9.72 tff(7076,plain,
% 14.57/9.72 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 14.57/9.72 inference(rewrite,[status(thm)],[])).
% 14.57/9.72 tff(7077,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_76')).
% 14.57/9.72 tff(7078,plain,
% 14.57/9.72 (nextState(constB76, constB77)),
% 14.57/9.72 inference(modus_ponens,[status(thm)],[7077, 7076])).
% 14.57/9.72 tff(7079,plain,
% 14.57/9.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB76, constB77)) | (v94(constB77) <=> (~((~v95(constB77)) | (~v104(constB77))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB76, constB77)) | (v94(constB77) <=> (~((~v95(constB77)) | (~v104(constB77))))))),
% 14.57/9.72 inference(rewrite,[status(thm)],[])).
% 14.57/9.72 tff(7080,plain,
% 14.57/9.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB76, constB77)) | (v94(constB77) <=> (~((~v95(constB77)) | (~v104(constB77))))))),
% 14.57/9.72 inference(quant_inst,[status(thm)],[])).
% 14.57/9.72 tff(7081,plain,
% 14.57/9.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB76, constB77)) | (v94(constB77) <=> (~((~v95(constB77)) | (~v104(constB77)))))),
% 14.57/9.72 inference(modus_ponens,[status(thm)],[7080, 7079])).
% 14.57/9.72 tff(7082,plain,
% 14.57/9.72 (v94(constB77) <=> (~((~v95(constB77)) | (~v104(constB77))))),
% 14.57/9.72 inference(unit_resolution,[status(thm)],[7081, 7078, 770])).
% 14.59/9.72 tff(7083,plain,
% 14.59/9.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77))))))),
% 14.59/9.72 inference(rewrite,[status(thm)],[])).
% 14.59/9.72 tff(7084,plain,
% 14.59/9.72 (((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v96(constB77)) | (~v1(constB77)))))) <=> ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77))))))),
% 14.59/9.72 inference(rewrite,[status(thm)],[])).
% 14.59/9.72 tff(7085,plain,
% 14.59/9.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v96(constB77)) | (~v1(constB77))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77)))))))),
% 14.59/9.72 inference(monotonicity,[status(thm)],[7084])).
% 14.59/9.72 tff(7086,plain,
% 14.59/9.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v96(constB77)) | (~v1(constB77))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77))))))),
% 14.59/9.72 inference(transitivity,[status(thm)],[7085, 7083])).
% 14.59/9.72 tff(7087,plain,
% 14.59/9.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v96(constB77)) | (~v1(constB77))))))),
% 14.59/9.72 inference(quant_inst,[status(thm)],[])).
% 14.59/9.72 tff(7088,plain,
% 14.59/9.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77)))))),
% 14.59/9.72 inference(modus_ponens,[status(thm)],[7087, 7086])).
% 14.59/9.72 tff(7089,plain,
% 14.59/9.72 (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77))))),
% 14.59/9.72 inference(unit_resolution,[status(thm)],[7088, 7078, 790])).
% 14.59/9.72 tff(7090,plain,
% 14.59/9.72 ((~v1(constB77)) <=> (~v1(constB77))),
% 14.59/9.72 inference(rewrite,[status(thm)],[])).
% 14.59/9.72 tff(7091,axiom,(~v1(constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_77')).
% 14.59/9.72 tff(7092,plain,
% 14.59/9.72 (~v1(constB77)),
% 14.59/9.72 inference(modus_ponens,[status(thm)],[7091, 7090])).
% 14.59/9.72 tff(7093,plain,
% 14.59/9.72 (((~v1(constB77)) | (~v96(constB77))) | v1(constB77)),
% 14.59/9.72 inference(tautology,[status(thm)],[])).
% 14.59/9.72 tff(7094,plain,
% 14.59/9.72 ((~v1(constB77)) | (~v96(constB77))),
% 14.59/9.72 inference(unit_resolution,[status(thm)],[7093, 7092])).
% 14.59/9.72 tff(7095,plain,
% 14.59/9.72 ((~(v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77)))))) | (~v95(constB77)) | (~((~v1(constB77)) | (~v96(constB77))))),
% 14.59/9.72 inference(tautology,[status(thm)],[])).
% 14.59/9.72 tff(7096,plain,
% 14.59/9.72 ((~(v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77)))))) | (~v95(constB77))),
% 14.59/9.72 inference(unit_resolution,[status(thm)],[7095, 7094])).
% 14.59/9.72 tff(7097,plain,
% 14.59/9.72 (~v95(constB77)),
% 14.59/9.72 inference(unit_resolution,[status(thm)],[7096, 7089])).
% 14.59/9.72 tff(7098,plain,
% 14.59/9.72 (((~v95(constB77)) | (~v104(constB77))) | v95(constB77)),
% 14.59/9.72 inference(tautology,[status(thm)],[])).
% 14.59/9.72 tff(7099,plain,
% 14.59/9.72 ((~v95(constB77)) | (~v104(constB77))),
% 14.59/9.72 inference(unit_resolution,[status(thm)],[7098, 7097])).
% 14.59/9.72 tff(7100,plain,
% 14.59/9.72 ((~(v94(constB77) <=> (~((~v95(constB77)) | (~v104(constB77)))))) | (~v94(constB77)) | (~((~v95(constB77)) | (~v104(constB77))))),
% 14.59/9.72 inference(tautology,[status(thm)],[])).
% 14.59/9.72 tff(7101,plain,
% 14.59/9.72 (~v94(constB77)),
% 14.59/9.72 inference(unit_resolution,[status(thm)],[7100, 7099, 7082])).
% 14.59/9.72 tff(7102,plain,
% 14.59/9.72 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB77) | (~nextState(constB76, constB77)) | (~(((~v84(constB77, 1)) <=> v84(constB76, 1)) | ((~v84(constB77, 2)) <=> v84(constB76, 2)) | ((~v84(constB77, 0)) <=> v84(constB76, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB77) | (~nextState(constB76, constB77)) | (~(((~v84(constB77, 1)) <=> v84(constB76, 1)) | ((~v84(constB77, 2)) <=> v84(constB76, 2)) | ((~v84(constB77, 0)) <=> v84(constB76, 0)))))),
% 14.59/9.72 inference(rewrite,[status(thm)],[])).
% 14.59/9.72 tff(7103,plain,
% 14.59/9.72 ((v94(constB77) | (~nextState(constB76, constB77)) | (~(((~v84(constB77, 2)) <=> v84(constB76, 2)) | ((~v84(constB77, 1)) <=> v84(constB76, 1)) | ((~v84(constB77, 0)) <=> v84(constB76, 0))))) <=> (v94(constB77) | (~nextState(constB76, constB77)) | (~(((~v84(constB77, 1)) <=> v84(constB76, 1)) | ((~v84(constB77, 2)) <=> v84(constB76, 2)) | ((~v84(constB77, 0)) <=> v84(constB76, 0)))))),
% 14.59/9.72 inference(rewrite,[status(thm)],[])).
% 14.59/9.72 tff(7104,plain,
% 14.59/9.72 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB77) | (~nextState(constB76, constB77)) | (~(((~v84(constB77, 2)) <=> v84(constB76, 2)) | ((~v84(constB77, 1)) <=> v84(constB76, 1)) | ((~v84(constB77, 0)) <=> v84(constB76, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB77) | (~nextState(constB76, constB77)) | (~(((~v84(constB77, 1)) <=> v84(constB76, 1)) | ((~v84(constB77, 2)) <=> v84(constB76, 2)) | ((~v84(constB77, 0)) <=> v84(constB76, 0))))))),
% 14.59/9.72 inference(monotonicity,[status(thm)],[7103])).
% 14.59/9.72 tff(7105,plain,
% 14.59/9.72 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB77) | (~nextState(constB76, constB77)) | (~(((~v84(constB77, 2)) <=> v84(constB76, 2)) | ((~v84(constB77, 1)) <=> v84(constB76, 1)) | ((~v84(constB77, 0)) <=> v84(constB76, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB77) | (~nextState(constB76, constB77)) | (~(((~v84(constB77, 1)) <=> v84(constB76, 1)) | ((~v84(constB77, 2)) <=> v84(constB76, 2)) | ((~v84(constB77, 0)) <=> v84(constB76, 0)))))),
% 14.59/9.72 inference(transitivity,[status(thm)],[7104, 7102])).
% 14.59/9.72 tff(7106,plain,
% 14.59/9.72 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB77) | (~nextState(constB76, constB77)) | (~(((~v84(constB77, 2)) <=> v84(constB76, 2)) | ((~v84(constB77, 1)) <=> v84(constB76, 1)) | ((~v84(constB77, 0)) <=> v84(constB76, 0)))))),
% 14.59/9.72 inference(quant_inst,[status(thm)],[])).
% 14.59/9.72 tff(7107,plain,
% 14.59/9.72 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB77) | (~nextState(constB76, constB77)) | (~(((~v84(constB77, 1)) <=> v84(constB76, 1)) | ((~v84(constB77, 2)) <=> v84(constB76, 2)) | ((~v84(constB77, 0)) <=> v84(constB76, 0))))),
% 14.59/9.72 inference(modus_ponens,[status(thm)],[7106, 7105])).
% 14.59/9.72 tff(7108,plain,
% 14.59/9.72 (v94(constB77) | (~(((~v84(constB77, 1)) <=> v84(constB76, 1)) | ((~v84(constB77, 2)) <=> v84(constB76, 2)) | ((~v84(constB77, 0)) <=> v84(constB76, 0))))),
% 14.59/9.72 inference(unit_resolution,[status(thm)],[7107, 7078, 819])).
% 14.59/9.72 tff(7109,plain,
% 14.59/9.72 (~(((~v84(constB77, 1)) <=> v84(constB76, 1)) | ((~v84(constB77, 2)) <=> v84(constB76, 2)) | ((~v84(constB77, 0)) <=> v84(constB76, 0)))),
% 14.59/9.72 inference(unit_resolution,[status(thm)],[7108, 7101])).
% 14.59/9.72 tff(7110,plain,
% 14.59/9.72 ((((~v84(constB77, 1)) <=> v84(constB76, 1)) | ((~v84(constB77, 2)) <=> v84(constB76, 2)) | ((~v84(constB77, 0)) <=> v84(constB76, 0))) | (~((~v84(constB77, 2)) <=> v84(constB76, 2)))),
% 14.59/9.72 inference(tautology,[status(thm)],[])).
% 14.59/9.72 tff(7111,plain,
% 14.59/9.72 (~((~v84(constB77, 2)) <=> v84(constB76, 2))),
% 14.59/9.72 inference(unit_resolution,[status(thm)],[7110, 7109])).
% 14.59/9.72 tff(7112,plain,
% 14.59/9.72 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 14.59/9.72 inference(rewrite,[status(thm)],[])).
% 14.59/9.72 tff(7113,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_75')).
% 14.59/9.72 tff(7114,plain,
% 14.59/9.72 (nextState(constB75, constB76)),
% 14.59/9.72 inference(modus_ponens,[status(thm)],[7113, 7112])).
% 14.59/9.72 tff(7115,plain,
% 14.59/9.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB75, constB76)) | (~(((~v123(constB76, 2)) <=> v121(constB75, 2)) | ((~v123(constB76, 1)) <=> v121(constB75, 1)) | ((~v123(constB76, 0)) <=> v121(constB75, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB75, constB76)) | (~(((~v123(constB76, 2)) <=> v121(constB75, 2)) | ((~v123(constB76, 1)) <=> v121(constB75, 1)) | ((~v123(constB76, 0)) <=> v121(constB75, 0)))))),
% 14.59/9.72 inference(rewrite,[status(thm)],[])).
% 14.59/9.72 tff(7116,plain,
% 14.59/9.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB75, constB76)) | (~(((~v123(constB76, 2)) <=> v121(constB75, 2)) | ((~v123(constB76, 1)) <=> v121(constB75, 1)) | ((~v123(constB76, 0)) <=> v121(constB75, 0)))))),
% 14.59/9.72 inference(quant_inst,[status(thm)],[])).
% 14.59/9.72 tff(7117,plain,
% 14.59/9.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB75, constB76)) | (~(((~v123(constB76, 2)) <=> v121(constB75, 2)) | ((~v123(constB76, 1)) <=> v121(constB75, 1)) | ((~v123(constB76, 0)) <=> v121(constB75, 0))))),
% 14.59/9.72 inference(modus_ponens,[status(thm)],[7116, 7115])).
% 14.59/9.72 tff(7118,plain,
% 14.59/9.72 (~(((~v123(constB76, 2)) <=> v121(constB75, 2)) | ((~v123(constB76, 1)) <=> v121(constB75, 1)) | ((~v123(constB76, 0)) <=> v121(constB75, 0)))),
% 14.59/9.72 inference(unit_resolution,[status(thm)],[7117, 7114, 842])).
% 14.59/9.72 tff(7119,plain,
% 14.59/9.72 ((((~v123(constB76, 2)) <=> v121(constB75, 2)) | ((~v123(constB76, 1)) <=> v121(constB75, 1)) | ((~v123(constB76, 0)) <=> v121(constB75, 0))) | (~((~v123(constB76, 2)) <=> v121(constB75, 2)))),
% 14.59/9.72 inference(tautology,[status(thm)],[])).
% 14.59/9.72 tff(7120,plain,
% 14.59/9.72 (~((~v123(constB76, 2)) <=> v121(constB75, 2))),
% 14.59/9.72 inference(unit_resolution,[status(thm)],[7119, 7118])).
% 14.59/9.72 tff(7121,plain,
% 14.59/9.72 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB75) <=> v26(constB75))),
% 14.59/9.73 inference(quant_inst,[status(thm)],[])).
% 14.59/9.73 tff(7122,plain,
% 14.59/9.73 (v105(constB75) <=> v26(constB75)),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7121, 861])).
% 14.59/9.73 tff(7123,plain,
% 14.59/9.73 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB75))),
% 14.59/9.73 inference(quant_inst,[status(thm)],[])).
% 14.59/9.73 tff(7124,plain,
% 14.59/9.73 (~v26(constB75)),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7123, 873])).
% 14.59/9.73 tff(7125,plain,
% 14.59/9.73 ((~(v105(constB75) <=> v26(constB75))) | (~v105(constB75)) | v26(constB75)),
% 14.59/9.73 inference(tautology,[status(thm)],[])).
% 14.59/9.73 tff(7126,plain,
% 14.59/9.73 ((~(v105(constB75) <=> v26(constB75))) | (~v105(constB75))),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7125, 7124])).
% 14.59/9.73 tff(7127,plain,
% 14.59/9.73 (~v105(constB75)),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7126, 7122])).
% 14.59/9.73 tff(7128,plain,
% 14.59/9.73 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB75) | (~(((~v121(constB75, 2)) <=> v124(constB75, 2)) | ((~v121(constB75, 0)) <=> v124(constB75, 0)) | ((~v121(constB75, 1)) <=> v124(constB75, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB75) | (~(((~v121(constB75, 2)) <=> v124(constB75, 2)) | ((~v121(constB75, 0)) <=> v124(constB75, 0)) | ((~v121(constB75, 1)) <=> v124(constB75, 1)))))),
% 14.59/9.73 inference(rewrite,[status(thm)],[])).
% 14.59/9.73 tff(7129,plain,
% 14.59/9.73 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB75) | (~(((~v121(constB75, 2)) <=> v124(constB75, 2)) | ((~v121(constB75, 0)) <=> v124(constB75, 0)) | ((~v121(constB75, 1)) <=> v124(constB75, 1)))))),
% 14.59/9.73 inference(quant_inst,[status(thm)],[])).
% 14.59/9.73 tff(7130,plain,
% 14.59/9.73 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB75) | (~(((~v121(constB75, 2)) <=> v124(constB75, 2)) | ((~v121(constB75, 0)) <=> v124(constB75, 0)) | ((~v121(constB75, 1)) <=> v124(constB75, 1))))),
% 14.59/9.73 inference(modus_ponens,[status(thm)],[7129, 7128])).
% 14.59/9.73 tff(7131,plain,
% 14.59/9.73 (v105(constB75) | (~(((~v121(constB75, 2)) <=> v124(constB75, 2)) | ((~v121(constB75, 0)) <=> v124(constB75, 0)) | ((~v121(constB75, 1)) <=> v124(constB75, 1))))),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7130, 891])).
% 14.59/9.73 tff(7132,plain,
% 14.59/9.73 (~(((~v121(constB75, 2)) <=> v124(constB75, 2)) | ((~v121(constB75, 0)) <=> v124(constB75, 0)) | ((~v121(constB75, 1)) <=> v124(constB75, 1)))),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7131, 7127])).
% 14.59/9.73 tff(7133,plain,
% 14.59/9.73 ((((~v121(constB75, 2)) <=> v124(constB75, 2)) | ((~v121(constB75, 0)) <=> v124(constB75, 0)) | ((~v121(constB75, 1)) <=> v124(constB75, 1))) | (~((~v121(constB75, 2)) <=> v124(constB75, 2)))),
% 14.59/9.73 inference(tautology,[status(thm)],[])).
% 14.59/9.73 tff(7134,plain,
% 14.59/9.73 (~((~v121(constB75, 2)) <=> v124(constB75, 2))),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7133, 7132])).
% 14.59/9.73 tff(7135,plain,
% 14.59/9.73 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0)))))),
% 14.59/9.73 inference(quant_inst,[status(thm)],[])).
% 14.59/9.73 tff(7136,plain,
% 14.59/9.73 (v114(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))))),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7135, 1064])).
% 14.59/9.73 tff(7137,plain,
% 14.59/9.73 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 14.59/9.73 inference(rewrite,[status(thm)],[])).
% 14.59/9.73 tff(7138,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_74')).
% 14.59/9.73 tff(7139,plain,
% 14.59/9.73 (nextState(constB74, constB75)),
% 14.59/9.73 inference(modus_ponens,[status(thm)],[7138, 7137])).
% 14.59/9.73 tff(7140,plain,
% 14.59/9.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB74, constB75)) | (v94(constB75) <=> (~((~v95(constB75)) | (~v104(constB75))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB74, constB75)) | (v94(constB75) <=> (~((~v95(constB75)) | (~v104(constB75))))))),
% 14.59/9.73 inference(rewrite,[status(thm)],[])).
% 14.59/9.73 tff(7141,plain,
% 14.59/9.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB74, constB75)) | (v94(constB75) <=> (~((~v95(constB75)) | (~v104(constB75))))))),
% 14.59/9.73 inference(quant_inst,[status(thm)],[])).
% 14.59/9.73 tff(7142,plain,
% 14.59/9.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB74, constB75)) | (v94(constB75) <=> (~((~v95(constB75)) | (~v104(constB75)))))),
% 14.59/9.73 inference(modus_ponens,[status(thm)],[7141, 7140])).
% 14.59/9.73 tff(7143,plain,
% 14.59/9.73 (v94(constB75) <=> (~((~v95(constB75)) | (~v104(constB75))))),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7142, 7139, 770])).
% 14.59/9.73 tff(7144,plain,
% 14.59/9.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75))))))),
% 14.59/9.73 inference(rewrite,[status(thm)],[])).
% 14.59/9.73 tff(7145,plain,
% 14.59/9.73 (((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v96(constB75)) | (~v1(constB75)))))) <=> ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75))))))),
% 14.59/9.73 inference(rewrite,[status(thm)],[])).
% 14.59/9.73 tff(7146,plain,
% 14.59/9.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v96(constB75)) | (~v1(constB75))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75)))))))),
% 14.59/9.73 inference(monotonicity,[status(thm)],[7145])).
% 14.59/9.73 tff(7147,plain,
% 14.59/9.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v96(constB75)) | (~v1(constB75))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75))))))),
% 14.59/9.73 inference(transitivity,[status(thm)],[7146, 7144])).
% 14.59/9.73 tff(7148,plain,
% 14.59/9.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v96(constB75)) | (~v1(constB75))))))),
% 14.59/9.73 inference(quant_inst,[status(thm)],[])).
% 14.59/9.73 tff(7149,plain,
% 14.59/9.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75)))))),
% 14.59/9.73 inference(modus_ponens,[status(thm)],[7148, 7147])).
% 14.59/9.73 tff(7150,plain,
% 14.59/9.73 (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75))))),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7149, 7139, 790])).
% 14.59/9.73 tff(7151,plain,
% 14.59/9.73 ((~v1(constB75)) <=> (~v1(constB75))),
% 14.59/9.73 inference(rewrite,[status(thm)],[])).
% 14.59/9.73 tff(7152,axiom,(~v1(constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_75')).
% 14.59/9.73 tff(7153,plain,
% 14.59/9.73 (~v1(constB75)),
% 14.59/9.73 inference(modus_ponens,[status(thm)],[7152, 7151])).
% 14.59/9.73 tff(7154,plain,
% 14.59/9.73 (((~v1(constB75)) | (~v96(constB75))) | v1(constB75)),
% 14.59/9.73 inference(tautology,[status(thm)],[])).
% 14.59/9.73 tff(7155,plain,
% 14.59/9.73 ((~v1(constB75)) | (~v96(constB75))),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7154, 7153])).
% 14.59/9.73 tff(7156,plain,
% 14.59/9.73 ((~(v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75)))))) | (~v95(constB75)) | (~((~v1(constB75)) | (~v96(constB75))))),
% 14.59/9.73 inference(tautology,[status(thm)],[])).
% 14.59/9.73 tff(7157,plain,
% 14.59/9.73 ((~(v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75)))))) | (~v95(constB75))),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7156, 7155])).
% 14.59/9.73 tff(7158,plain,
% 14.59/9.73 (~v95(constB75)),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7157, 7150])).
% 14.59/9.73 tff(7159,plain,
% 14.59/9.73 (((~v95(constB75)) | (~v104(constB75))) | v95(constB75)),
% 14.59/9.73 inference(tautology,[status(thm)],[])).
% 14.59/9.73 tff(7160,plain,
% 14.59/9.73 ((~v95(constB75)) | (~v104(constB75))),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7159, 7158])).
% 14.59/9.73 tff(7161,plain,
% 14.59/9.73 ((~(v94(constB75) <=> (~((~v95(constB75)) | (~v104(constB75)))))) | (~v94(constB75)) | (~((~v95(constB75)) | (~v104(constB75))))),
% 14.59/9.73 inference(tautology,[status(thm)],[])).
% 14.59/9.73 tff(7162,plain,
% 14.59/9.73 (~v94(constB75)),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7161, 7160, 7143])).
% 14.59/9.73 tff(7163,plain,
% 14.59/9.73 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB75) | (~nextState(constB74, constB75)) | (~(((~v84(constB75, 1)) <=> v84(constB74, 1)) | ((~v84(constB75, 2)) <=> v84(constB74, 2)) | ((~v84(constB75, 0)) <=> v84(constB74, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB75) | (~nextState(constB74, constB75)) | (~(((~v84(constB75, 1)) <=> v84(constB74, 1)) | ((~v84(constB75, 2)) <=> v84(constB74, 2)) | ((~v84(constB75, 0)) <=> v84(constB74, 0)))))),
% 14.59/9.73 inference(rewrite,[status(thm)],[])).
% 14.59/9.73 tff(7164,plain,
% 14.59/9.73 ((v94(constB75) | (~nextState(constB74, constB75)) | (~(((~v84(constB75, 2)) <=> v84(constB74, 2)) | ((~v84(constB75, 1)) <=> v84(constB74, 1)) | ((~v84(constB75, 0)) <=> v84(constB74, 0))))) <=> (v94(constB75) | (~nextState(constB74, constB75)) | (~(((~v84(constB75, 1)) <=> v84(constB74, 1)) | ((~v84(constB75, 2)) <=> v84(constB74, 2)) | ((~v84(constB75, 0)) <=> v84(constB74, 0)))))),
% 14.59/9.73 inference(rewrite,[status(thm)],[])).
% 14.59/9.73 tff(7165,plain,
% 14.59/9.73 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB75) | (~nextState(constB74, constB75)) | (~(((~v84(constB75, 2)) <=> v84(constB74, 2)) | ((~v84(constB75, 1)) <=> v84(constB74, 1)) | ((~v84(constB75, 0)) <=> v84(constB74, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB75) | (~nextState(constB74, constB75)) | (~(((~v84(constB75, 1)) <=> v84(constB74, 1)) | ((~v84(constB75, 2)) <=> v84(constB74, 2)) | ((~v84(constB75, 0)) <=> v84(constB74, 0))))))),
% 14.59/9.73 inference(monotonicity,[status(thm)],[7164])).
% 14.59/9.73 tff(7166,plain,
% 14.59/9.73 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB75) | (~nextState(constB74, constB75)) | (~(((~v84(constB75, 2)) <=> v84(constB74, 2)) | ((~v84(constB75, 1)) <=> v84(constB74, 1)) | ((~v84(constB75, 0)) <=> v84(constB74, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB75) | (~nextState(constB74, constB75)) | (~(((~v84(constB75, 1)) <=> v84(constB74, 1)) | ((~v84(constB75, 2)) <=> v84(constB74, 2)) | ((~v84(constB75, 0)) <=> v84(constB74, 0)))))),
% 14.59/9.73 inference(transitivity,[status(thm)],[7165, 7163])).
% 14.59/9.73 tff(7167,plain,
% 14.59/9.73 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB75) | (~nextState(constB74, constB75)) | (~(((~v84(constB75, 2)) <=> v84(constB74, 2)) | ((~v84(constB75, 1)) <=> v84(constB74, 1)) | ((~v84(constB75, 0)) <=> v84(constB74, 0)))))),
% 14.59/9.73 inference(quant_inst,[status(thm)],[])).
% 14.59/9.73 tff(7168,plain,
% 14.59/9.73 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB75) | (~nextState(constB74, constB75)) | (~(((~v84(constB75, 1)) <=> v84(constB74, 1)) | ((~v84(constB75, 2)) <=> v84(constB74, 2)) | ((~v84(constB75, 0)) <=> v84(constB74, 0))))),
% 14.59/9.73 inference(modus_ponens,[status(thm)],[7167, 7166])).
% 14.59/9.73 tff(7169,plain,
% 14.59/9.73 (v94(constB75) | (~(((~v84(constB75, 1)) <=> v84(constB74, 1)) | ((~v84(constB75, 2)) <=> v84(constB74, 2)) | ((~v84(constB75, 0)) <=> v84(constB74, 0))))),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7168, 7139, 819])).
% 14.59/9.73 tff(7170,plain,
% 14.59/9.73 (~(((~v84(constB75, 1)) <=> v84(constB74, 1)) | ((~v84(constB75, 2)) <=> v84(constB74, 2)) | ((~v84(constB75, 0)) <=> v84(constB74, 0)))),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7169, 7162])).
% 14.59/9.73 tff(7171,plain,
% 14.59/9.73 ((((~v84(constB75, 1)) <=> v84(constB74, 1)) | ((~v84(constB75, 2)) <=> v84(constB74, 2)) | ((~v84(constB75, 0)) <=> v84(constB74, 0))) | (~((~v84(constB75, 0)) <=> v84(constB74, 0)))),
% 14.59/9.73 inference(tautology,[status(thm)],[])).
% 14.59/9.73 tff(7172,plain,
% 14.59/9.73 (~((~v84(constB75, 0)) <=> v84(constB74, 0))),
% 14.59/9.73 inference(unit_resolution,[status(thm)],[7171, 7170])).
% 14.59/9.73 tff(7173,plain,
% 14.59/9.73 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 14.59/9.73 inference(rewrite,[status(thm)],[])).
% 14.59/9.73 tff(7174,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_73')).
% 14.59/9.73 tff(7175,plain,
% 14.59/9.73 (nextState(constB73, constB74)),
% 14.59/9.73 inference(modus_ponens,[status(thm)],[7174, 7173])).
% 14.59/9.73 tff(7176,plain,
% 14.59/9.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB73, constB74)) | (~(((~v123(constB74, 2)) <=> v121(constB73, 2)) | ((~v123(constB74, 1)) <=> v121(constB73, 1)) | ((~v123(constB74, 0)) <=> v121(constB73, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB73, constB74)) | (~(((~v123(constB74, 2)) <=> v121(constB73, 2)) | ((~v123(constB74, 1)) <=> v121(constB73, 1)) | ((~v123(constB74, 0)) <=> v121(constB73, 0)))))),
% 14.59/9.73 inference(rewrite,[status(thm)],[])).
% 14.59/9.73 tff(7177,plain,
% 14.59/9.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB73, constB74)) | (~(((~v123(constB74, 2)) <=> v121(constB73, 2)) | ((~v123(constB74, 1)) <=> v121(constB73, 1)) | ((~v123(constB74, 0)) <=> v121(constB73, 0)))))),
% 14.59/9.74 inference(quant_inst,[status(thm)],[])).
% 14.59/9.74 tff(7178,plain,
% 14.59/9.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB73, constB74)) | (~(((~v123(constB74, 2)) <=> v121(constB73, 2)) | ((~v123(constB74, 1)) <=> v121(constB73, 1)) | ((~v123(constB74, 0)) <=> v121(constB73, 0))))),
% 14.59/9.74 inference(modus_ponens,[status(thm)],[7177, 7176])).
% 14.59/9.74 tff(7179,plain,
% 14.59/9.74 (~(((~v123(constB74, 2)) <=> v121(constB73, 2)) | ((~v123(constB74, 1)) <=> v121(constB73, 1)) | ((~v123(constB74, 0)) <=> v121(constB73, 0)))),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7178, 7175, 842])).
% 14.59/9.74 tff(7180,plain,
% 14.59/9.74 ((((~v123(constB74, 2)) <=> v121(constB73, 2)) | ((~v123(constB74, 1)) <=> v121(constB73, 1)) | ((~v123(constB74, 0)) <=> v121(constB73, 0))) | (~((~v123(constB74, 0)) <=> v121(constB73, 0)))),
% 14.59/9.74 inference(tautology,[status(thm)],[])).
% 14.59/9.74 tff(7181,plain,
% 14.59/9.74 (~((~v123(constB74, 0)) <=> v121(constB73, 0))),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7180, 7179])).
% 14.59/9.74 tff(7182,plain,
% 14.59/9.74 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB73) <=> v26(constB73))),
% 14.59/9.74 inference(quant_inst,[status(thm)],[])).
% 14.59/9.74 tff(7183,plain,
% 14.59/9.74 (v105(constB73) <=> v26(constB73)),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7182, 861])).
% 14.59/9.74 tff(7184,plain,
% 14.59/9.74 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB73))),
% 14.59/9.74 inference(quant_inst,[status(thm)],[])).
% 14.59/9.74 tff(7185,plain,
% 14.59/9.74 (~v26(constB73)),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7184, 873])).
% 14.59/9.74 tff(7186,plain,
% 14.59/9.74 ((~(v105(constB73) <=> v26(constB73))) | (~v105(constB73)) | v26(constB73)),
% 14.59/9.74 inference(tautology,[status(thm)],[])).
% 14.59/9.74 tff(7187,plain,
% 14.59/9.74 ((~(v105(constB73) <=> v26(constB73))) | (~v105(constB73))),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7186, 7185])).
% 14.59/9.74 tff(7188,plain,
% 14.59/9.74 (~v105(constB73)),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7187, 7183])).
% 14.59/9.74 tff(7189,plain,
% 14.59/9.74 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB73) | (~(((~v121(constB73, 2)) <=> v124(constB73, 2)) | ((~v121(constB73, 0)) <=> v124(constB73, 0)) | ((~v121(constB73, 1)) <=> v124(constB73, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB73) | (~(((~v121(constB73, 2)) <=> v124(constB73, 2)) | ((~v121(constB73, 0)) <=> v124(constB73, 0)) | ((~v121(constB73, 1)) <=> v124(constB73, 1)))))),
% 14.59/9.74 inference(rewrite,[status(thm)],[])).
% 14.59/9.74 tff(7190,plain,
% 14.59/9.74 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB73) | (~(((~v121(constB73, 2)) <=> v124(constB73, 2)) | ((~v121(constB73, 0)) <=> v124(constB73, 0)) | ((~v121(constB73, 1)) <=> v124(constB73, 1)))))),
% 14.59/9.74 inference(quant_inst,[status(thm)],[])).
% 14.59/9.74 tff(7191,plain,
% 14.59/9.74 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB73) | (~(((~v121(constB73, 2)) <=> v124(constB73, 2)) | ((~v121(constB73, 0)) <=> v124(constB73, 0)) | ((~v121(constB73, 1)) <=> v124(constB73, 1))))),
% 14.59/9.74 inference(modus_ponens,[status(thm)],[7190, 7189])).
% 14.59/9.74 tff(7192,plain,
% 14.59/9.74 (v105(constB73) | (~(((~v121(constB73, 2)) <=> v124(constB73, 2)) | ((~v121(constB73, 0)) <=> v124(constB73, 0)) | ((~v121(constB73, 1)) <=> v124(constB73, 1))))),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7191, 891])).
% 14.59/9.74 tff(7193,plain,
% 14.59/9.74 (~(((~v121(constB73, 2)) <=> v124(constB73, 2)) | ((~v121(constB73, 0)) <=> v124(constB73, 0)) | ((~v121(constB73, 1)) <=> v124(constB73, 1)))),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7192, 7188])).
% 14.59/9.74 tff(7194,plain,
% 14.59/9.74 ((((~v121(constB73, 2)) <=> v124(constB73, 2)) | ((~v121(constB73, 0)) <=> v124(constB73, 0)) | ((~v121(constB73, 1)) <=> v124(constB73, 1))) | (~((~v121(constB73, 0)) <=> v124(constB73, 0)))),
% 14.59/9.74 inference(tautology,[status(thm)],[])).
% 14.59/9.74 tff(7195,plain,
% 14.59/9.74 (~((~v121(constB73, 0)) <=> v124(constB73, 0))),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7194, 7193])).
% 14.59/9.74 tff(7196,plain,
% 14.59/9.74 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))))))),
% 14.59/9.74 inference(rewrite,[status(thm)],[])).
% 14.59/9.74 tff(7197,plain,
% 14.59/9.74 ((v117(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | (~v84(constB73, 2))))) <=> (v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))))),
% 14.59/9.74 inference(rewrite,[status(thm)],[])).
% 14.59/9.74 tff(7198,plain,
% 14.59/9.74 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | (~v84(constB73, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))))))),
% 14.59/9.74 inference(monotonicity,[status(thm)],[7197])).
% 14.59/9.74 tff(7199,plain,
% 14.59/9.74 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | (~v84(constB73, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))))))),
% 14.59/9.74 inference(transitivity,[status(thm)],[7198, 7196])).
% 14.59/9.74 tff(7200,plain,
% 14.59/9.74 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 0) | v84(constB73, 1) | (~v84(constB73, 2)))))),
% 14.59/9.74 inference(quant_inst,[status(thm)],[])).
% 14.59/9.74 tff(7201,plain,
% 14.59/9.74 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))))),
% 14.59/9.74 inference(modus_ponens,[status(thm)],[7200, 7199])).
% 14.59/9.74 tff(7202,plain,
% 14.59/9.74 (v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))))),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7201, 1199])).
% 14.59/9.74 tff(7203,plain,
% 14.59/9.74 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 14.59/9.74 inference(rewrite,[status(thm)],[])).
% 14.59/9.74 tff(7204,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_72')).
% 14.59/9.74 tff(7205,plain,
% 14.59/9.74 (nextState(constB72, constB73)),
% 14.59/9.74 inference(modus_ponens,[status(thm)],[7204, 7203])).
% 14.59/9.74 tff(7206,plain,
% 14.59/9.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB72, constB73)) | (v94(constB73) <=> (~((~v95(constB73)) | (~v104(constB73))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB72, constB73)) | (v94(constB73) <=> (~((~v95(constB73)) | (~v104(constB73))))))),
% 14.59/9.74 inference(rewrite,[status(thm)],[])).
% 14.59/9.74 tff(7207,plain,
% 14.59/9.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB72, constB73)) | (v94(constB73) <=> (~((~v95(constB73)) | (~v104(constB73))))))),
% 14.59/9.74 inference(quant_inst,[status(thm)],[])).
% 14.59/9.74 tff(7208,plain,
% 14.59/9.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB72, constB73)) | (v94(constB73) <=> (~((~v95(constB73)) | (~v104(constB73)))))),
% 14.59/9.74 inference(modus_ponens,[status(thm)],[7207, 7206])).
% 14.59/9.74 tff(7209,plain,
% 14.59/9.74 (v94(constB73) <=> (~((~v95(constB73)) | (~v104(constB73))))),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7208, 7205, 770])).
% 14.59/9.74 tff(7210,plain,
% 14.59/9.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73))))))),
% 14.59/9.74 inference(rewrite,[status(thm)],[])).
% 14.59/9.74 tff(7211,plain,
% 14.59/9.74 (((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v96(constB73)) | (~v1(constB73)))))) <=> ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73))))))),
% 14.59/9.74 inference(rewrite,[status(thm)],[])).
% 14.59/9.74 tff(7212,plain,
% 14.59/9.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v96(constB73)) | (~v1(constB73))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73)))))))),
% 14.59/9.74 inference(monotonicity,[status(thm)],[7211])).
% 14.59/9.74 tff(7213,plain,
% 14.59/9.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v96(constB73)) | (~v1(constB73))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73))))))),
% 14.59/9.74 inference(transitivity,[status(thm)],[7212, 7210])).
% 14.59/9.74 tff(7214,plain,
% 14.59/9.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v96(constB73)) | (~v1(constB73))))))),
% 14.59/9.74 inference(quant_inst,[status(thm)],[])).
% 14.59/9.74 tff(7215,plain,
% 14.59/9.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73)))))),
% 14.59/9.74 inference(modus_ponens,[status(thm)],[7214, 7213])).
% 14.59/9.74 tff(7216,plain,
% 14.59/9.74 (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73))))),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7215, 7205, 790])).
% 14.59/9.74 tff(7217,plain,
% 14.59/9.74 ((~v1(constB73)) <=> (~v1(constB73))),
% 14.59/9.74 inference(rewrite,[status(thm)],[])).
% 14.59/9.74 tff(7218,axiom,(~v1(constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_73')).
% 14.59/9.74 tff(7219,plain,
% 14.59/9.74 (~v1(constB73)),
% 14.59/9.74 inference(modus_ponens,[status(thm)],[7218, 7217])).
% 14.59/9.74 tff(7220,plain,
% 14.59/9.74 (((~v1(constB73)) | (~v96(constB73))) | v1(constB73)),
% 14.59/9.74 inference(tautology,[status(thm)],[])).
% 14.59/9.74 tff(7221,plain,
% 14.59/9.74 ((~v1(constB73)) | (~v96(constB73))),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7220, 7219])).
% 14.59/9.74 tff(7222,plain,
% 14.59/9.74 ((~(v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73)))))) | (~v95(constB73)) | (~((~v1(constB73)) | (~v96(constB73))))),
% 14.59/9.74 inference(tautology,[status(thm)],[])).
% 14.59/9.74 tff(7223,plain,
% 14.59/9.74 ((~(v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73)))))) | (~v95(constB73))),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7222, 7221])).
% 14.59/9.74 tff(7224,plain,
% 14.59/9.74 (~v95(constB73)),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7223, 7216])).
% 14.59/9.74 tff(7225,plain,
% 14.59/9.74 (((~v95(constB73)) | (~v104(constB73))) | v95(constB73)),
% 14.59/9.74 inference(tautology,[status(thm)],[])).
% 14.59/9.74 tff(7226,plain,
% 14.59/9.74 ((~v95(constB73)) | (~v104(constB73))),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7225, 7224])).
% 14.59/9.74 tff(7227,plain,
% 14.59/9.74 ((~(v94(constB73) <=> (~((~v95(constB73)) | (~v104(constB73)))))) | (~v94(constB73)) | (~((~v95(constB73)) | (~v104(constB73))))),
% 14.59/9.74 inference(tautology,[status(thm)],[])).
% 14.59/9.74 tff(7228,plain,
% 14.59/9.74 (~v94(constB73)),
% 14.59/9.74 inference(unit_resolution,[status(thm)],[7227, 7226, 7209])).
% 14.59/9.74 tff(7229,plain,
% 14.59/9.74 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB73) | (~nextState(constB72, constB73)) | (~(((~v84(constB73, 1)) <=> v84(constB72, 1)) | ((~v84(constB73, 2)) <=> v84(constB72, 2)) | ((~v84(constB73, 0)) <=> v84(constB72, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB73) | (~nextState(constB72, constB73)) | (~(((~v84(constB73, 1)) <=> v84(constB72, 1)) | ((~v84(constB73, 2)) <=> v84(constB72, 2)) | ((~v84(constB73, 0)) <=> v84(constB72, 0)))))),
% 14.59/9.74 inference(rewrite,[status(thm)],[])).
% 14.59/9.74 tff(7230,plain,
% 14.59/9.74 ((v94(constB73) | (~nextState(constB72, constB73)) | (~(((~v84(constB73, 2)) <=> v84(constB72, 2)) | ((~v84(constB73, 1)) <=> v84(constB72, 1)) | ((~v84(constB73, 0)) <=> v84(constB72, 0))))) <=> (v94(constB73) | (~nextState(constB72, constB73)) | (~(((~v84(constB73, 1)) <=> v84(constB72, 1)) | ((~v84(constB73, 2)) <=> v84(constB72, 2)) | ((~v84(constB73, 0)) <=> v84(constB72, 0)))))),
% 14.59/9.74 inference(rewrite,[status(thm)],[])).
% 14.59/9.74 tff(7231,plain,
% 14.59/9.74 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB73) | (~nextState(constB72, constB73)) | (~(((~v84(constB73, 2)) <=> v84(constB72, 2)) | ((~v84(constB73, 1)) <=> v84(constB72, 1)) | ((~v84(constB73, 0)) <=> v84(constB72, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB73) | (~nextState(constB72, constB73)) | (~(((~v84(constB73, 1)) <=> v84(constB72, 1)) | ((~v84(constB73, 2)) <=> v84(constB72, 2)) | ((~v84(constB73, 0)) <=> v84(constB72, 0))))))),
% 14.59/9.74 inference(monotonicity,[status(thm)],[7230])).
% 14.59/9.74 tff(7232,plain,
% 14.59/9.74 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB73) | (~nextState(constB72, constB73)) | (~(((~v84(constB73, 2)) <=> v84(constB72, 2)) | ((~v84(constB73, 1)) <=> v84(constB72, 1)) | ((~v84(constB73, 0)) <=> v84(constB72, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB73) | (~nextState(constB72, constB73)) | (~(((~v84(constB73, 1)) <=> v84(constB72, 1)) | ((~v84(constB73, 2)) <=> v84(constB72, 2)) | ((~v84(constB73, 0)) <=> v84(constB72, 0)))))),
% 14.59/9.74 inference(transitivity,[status(thm)],[7231, 7229])).
% 14.59/9.74 tff(7233,plain,
% 14.59/9.74 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB73) | (~nextState(constB72, constB73)) | (~(((~v84(constB73, 2)) <=> v84(constB72, 2)) | ((~v84(constB73, 1)) <=> v84(constB72, 1)) | ((~v84(constB73, 0)) <=> v84(constB72, 0)))))),
% 14.59/9.75 inference(quant_inst,[status(thm)],[])).
% 14.59/9.75 tff(7234,plain,
% 14.59/9.75 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB73) | (~nextState(constB72, constB73)) | (~(((~v84(constB73, 1)) <=> v84(constB72, 1)) | ((~v84(constB73, 2)) <=> v84(constB72, 2)) | ((~v84(constB73, 0)) <=> v84(constB72, 0))))),
% 14.59/9.75 inference(modus_ponens,[status(thm)],[7233, 7232])).
% 14.59/9.75 tff(7235,plain,
% 14.59/9.75 (v94(constB73) | (~(((~v84(constB73, 1)) <=> v84(constB72, 1)) | ((~v84(constB73, 2)) <=> v84(constB72, 2)) | ((~v84(constB73, 0)) <=> v84(constB72, 0))))),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7234, 7205, 819])).
% 14.59/9.75 tff(7236,plain,
% 14.59/9.75 (~(((~v84(constB73, 1)) <=> v84(constB72, 1)) | ((~v84(constB73, 2)) <=> v84(constB72, 2)) | ((~v84(constB73, 0)) <=> v84(constB72, 0)))),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7235, 7228])).
% 14.59/9.75 tff(7237,plain,
% 14.59/9.75 ((((~v84(constB73, 1)) <=> v84(constB72, 1)) | ((~v84(constB73, 2)) <=> v84(constB72, 2)) | ((~v84(constB73, 0)) <=> v84(constB72, 0))) | (~((~v84(constB73, 2)) <=> v84(constB72, 2)))),
% 14.59/9.75 inference(tautology,[status(thm)],[])).
% 14.59/9.75 tff(7238,plain,
% 14.59/9.75 (~((~v84(constB73, 2)) <=> v84(constB72, 2))),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7237, 7236])).
% 14.59/9.75 tff(7239,plain,
% 14.59/9.75 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 14.59/9.75 inference(rewrite,[status(thm)],[])).
% 14.59/9.75 tff(7240,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_71')).
% 14.59/9.75 tff(7241,plain,
% 14.59/9.75 (nextState(constB71, constB72)),
% 14.59/9.75 inference(modus_ponens,[status(thm)],[7240, 7239])).
% 14.59/9.75 tff(7242,plain,
% 14.59/9.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB71, constB72)) | (~(((~v123(constB72, 2)) <=> v121(constB71, 2)) | ((~v123(constB72, 1)) <=> v121(constB71, 1)) | ((~v123(constB72, 0)) <=> v121(constB71, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB71, constB72)) | (~(((~v123(constB72, 2)) <=> v121(constB71, 2)) | ((~v123(constB72, 1)) <=> v121(constB71, 1)) | ((~v123(constB72, 0)) <=> v121(constB71, 0)))))),
% 14.59/9.75 inference(rewrite,[status(thm)],[])).
% 14.59/9.75 tff(7243,plain,
% 14.59/9.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB71, constB72)) | (~(((~v123(constB72, 2)) <=> v121(constB71, 2)) | ((~v123(constB72, 1)) <=> v121(constB71, 1)) | ((~v123(constB72, 0)) <=> v121(constB71, 0)))))),
% 14.59/9.75 inference(quant_inst,[status(thm)],[])).
% 14.59/9.75 tff(7244,plain,
% 14.59/9.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB71, constB72)) | (~(((~v123(constB72, 2)) <=> v121(constB71, 2)) | ((~v123(constB72, 1)) <=> v121(constB71, 1)) | ((~v123(constB72, 0)) <=> v121(constB71, 0))))),
% 14.59/9.75 inference(modus_ponens,[status(thm)],[7243, 7242])).
% 14.59/9.75 tff(7245,plain,
% 14.59/9.75 (~(((~v123(constB72, 2)) <=> v121(constB71, 2)) | ((~v123(constB72, 1)) <=> v121(constB71, 1)) | ((~v123(constB72, 0)) <=> v121(constB71, 0)))),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7244, 7241, 842])).
% 14.59/9.75 tff(7246,plain,
% 14.59/9.75 ((((~v123(constB72, 2)) <=> v121(constB71, 2)) | ((~v123(constB72, 1)) <=> v121(constB71, 1)) | ((~v123(constB72, 0)) <=> v121(constB71, 0))) | (~((~v123(constB72, 2)) <=> v121(constB71, 2)))),
% 14.59/9.75 inference(tautology,[status(thm)],[])).
% 14.59/9.75 tff(7247,plain,
% 14.59/9.75 (~((~v123(constB72, 2)) <=> v121(constB71, 2))),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7246, 7245])).
% 14.59/9.75 tff(7248,plain,
% 14.59/9.75 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB71) <=> v26(constB71))),
% 14.59/9.75 inference(quant_inst,[status(thm)],[])).
% 14.59/9.75 tff(7249,plain,
% 14.59/9.75 (v105(constB71) <=> v26(constB71)),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7248, 861])).
% 14.59/9.75 tff(7250,plain,
% 14.59/9.75 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB71))),
% 14.59/9.75 inference(quant_inst,[status(thm)],[])).
% 14.59/9.75 tff(7251,plain,
% 14.59/9.75 (~v26(constB71)),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7250, 873])).
% 14.59/9.75 tff(7252,plain,
% 14.59/9.75 ((~(v105(constB71) <=> v26(constB71))) | (~v105(constB71)) | v26(constB71)),
% 14.59/9.75 inference(tautology,[status(thm)],[])).
% 14.59/9.75 tff(7253,plain,
% 14.59/9.75 ((~(v105(constB71) <=> v26(constB71))) | (~v105(constB71))),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7252, 7251])).
% 14.59/9.75 tff(7254,plain,
% 14.59/9.75 (~v105(constB71)),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7253, 7249])).
% 14.59/9.75 tff(7255,plain,
% 14.59/9.75 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB71) | (~(((~v121(constB71, 2)) <=> v124(constB71, 2)) | ((~v121(constB71, 0)) <=> v124(constB71, 0)) | ((~v121(constB71, 1)) <=> v124(constB71, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB71) | (~(((~v121(constB71, 2)) <=> v124(constB71, 2)) | ((~v121(constB71, 0)) <=> v124(constB71, 0)) | ((~v121(constB71, 1)) <=> v124(constB71, 1)))))),
% 14.59/9.75 inference(rewrite,[status(thm)],[])).
% 14.59/9.75 tff(7256,plain,
% 14.59/9.75 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB71) | (~(((~v121(constB71, 2)) <=> v124(constB71, 2)) | ((~v121(constB71, 0)) <=> v124(constB71, 0)) | ((~v121(constB71, 1)) <=> v124(constB71, 1)))))),
% 14.59/9.75 inference(quant_inst,[status(thm)],[])).
% 14.59/9.75 tff(7257,plain,
% 14.59/9.75 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB71) | (~(((~v121(constB71, 2)) <=> v124(constB71, 2)) | ((~v121(constB71, 0)) <=> v124(constB71, 0)) | ((~v121(constB71, 1)) <=> v124(constB71, 1))))),
% 14.59/9.75 inference(modus_ponens,[status(thm)],[7256, 7255])).
% 14.59/9.75 tff(7258,plain,
% 14.59/9.75 (v105(constB71) | (~(((~v121(constB71, 2)) <=> v124(constB71, 2)) | ((~v121(constB71, 0)) <=> v124(constB71, 0)) | ((~v121(constB71, 1)) <=> v124(constB71, 1))))),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7257, 891])).
% 14.59/9.75 tff(7259,plain,
% 14.59/9.75 (~(((~v121(constB71, 2)) <=> v124(constB71, 2)) | ((~v121(constB71, 0)) <=> v124(constB71, 0)) | ((~v121(constB71, 1)) <=> v124(constB71, 1)))),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7258, 7254])).
% 14.59/9.75 tff(7260,plain,
% 14.59/9.75 ((((~v121(constB71, 2)) <=> v124(constB71, 2)) | ((~v121(constB71, 0)) <=> v124(constB71, 0)) | ((~v121(constB71, 1)) <=> v124(constB71, 1))) | (~((~v121(constB71, 2)) <=> v124(constB71, 2)))),
% 14.59/9.75 inference(tautology,[status(thm)],[])).
% 14.59/9.75 tff(7261,plain,
% 14.59/9.75 (~((~v121(constB71, 2)) <=> v124(constB71, 2))),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7260, 7259])).
% 14.59/9.75 tff(7262,plain,
% 14.59/9.75 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB71) <=> (~(v84(constB71, 2) | (~v84(constB71, 1)) | (~v84(constB71, 0)))))),
% 14.59/9.75 inference(quant_inst,[status(thm)],[])).
% 14.59/9.75 tff(7263,plain,
% 14.59/9.75 (v116(constB71) <=> (~(v84(constB71, 2) | (~v84(constB71, 1)) | (~v84(constB71, 0))))),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7262, 911])).
% 14.59/9.75 tff(7264,plain,
% 14.59/9.75 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 14.59/9.75 inference(rewrite,[status(thm)],[])).
% 14.59/9.75 tff(7265,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_70')).
% 14.59/9.75 tff(7266,plain,
% 14.59/9.75 (nextState(constB70, constB71)),
% 14.59/9.75 inference(modus_ponens,[status(thm)],[7265, 7264])).
% 14.59/9.75 tff(7267,plain,
% 14.59/9.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB70, constB71)) | (v94(constB71) <=> (~((~v95(constB71)) | (~v104(constB71))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB70, constB71)) | (v94(constB71) <=> (~((~v95(constB71)) | (~v104(constB71))))))),
% 14.59/9.75 inference(rewrite,[status(thm)],[])).
% 14.59/9.75 tff(7268,plain,
% 14.59/9.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB70, constB71)) | (v94(constB71) <=> (~((~v95(constB71)) | (~v104(constB71))))))),
% 14.59/9.75 inference(quant_inst,[status(thm)],[])).
% 14.59/9.75 tff(7269,plain,
% 14.59/9.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB70, constB71)) | (v94(constB71) <=> (~((~v95(constB71)) | (~v104(constB71)))))),
% 14.59/9.75 inference(modus_ponens,[status(thm)],[7268, 7267])).
% 14.59/9.75 tff(7270,plain,
% 14.59/9.75 (v94(constB71) <=> (~((~v95(constB71)) | (~v104(constB71))))),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7269, 7266, 770])).
% 14.59/9.75 tff(7271,plain,
% 14.59/9.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71))))))),
% 14.59/9.75 inference(rewrite,[status(thm)],[])).
% 14.59/9.75 tff(7272,plain,
% 14.59/9.75 (((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v96(constB71)) | (~v1(constB71)))))) <=> ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71))))))),
% 14.59/9.75 inference(rewrite,[status(thm)],[])).
% 14.59/9.75 tff(7273,plain,
% 14.59/9.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v96(constB71)) | (~v1(constB71))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71)))))))),
% 14.59/9.75 inference(monotonicity,[status(thm)],[7272])).
% 14.59/9.75 tff(7274,plain,
% 14.59/9.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v96(constB71)) | (~v1(constB71))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71))))))),
% 14.59/9.75 inference(transitivity,[status(thm)],[7273, 7271])).
% 14.59/9.75 tff(7275,plain,
% 14.59/9.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v96(constB71)) | (~v1(constB71))))))),
% 14.59/9.75 inference(quant_inst,[status(thm)],[])).
% 14.59/9.75 tff(7276,plain,
% 14.59/9.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71)))))),
% 14.59/9.75 inference(modus_ponens,[status(thm)],[7275, 7274])).
% 14.59/9.75 tff(7277,plain,
% 14.59/9.75 (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71))))),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7276, 7266, 790])).
% 14.59/9.75 tff(7278,plain,
% 14.59/9.75 ((~v1(constB71)) <=> (~v1(constB71))),
% 14.59/9.75 inference(rewrite,[status(thm)],[])).
% 14.59/9.75 tff(7279,axiom,(~v1(constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_71')).
% 14.59/9.75 tff(7280,plain,
% 14.59/9.75 (~v1(constB71)),
% 14.59/9.75 inference(modus_ponens,[status(thm)],[7279, 7278])).
% 14.59/9.75 tff(7281,plain,
% 14.59/9.75 (((~v1(constB71)) | (~v96(constB71))) | v1(constB71)),
% 14.59/9.75 inference(tautology,[status(thm)],[])).
% 14.59/9.75 tff(7282,plain,
% 14.59/9.75 ((~v1(constB71)) | (~v96(constB71))),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7281, 7280])).
% 14.59/9.75 tff(7283,plain,
% 14.59/9.75 ((~(v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71)))))) | (~v95(constB71)) | (~((~v1(constB71)) | (~v96(constB71))))),
% 14.59/9.75 inference(tautology,[status(thm)],[])).
% 14.59/9.75 tff(7284,plain,
% 14.59/9.75 ((~(v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71)))))) | (~v95(constB71))),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7283, 7282])).
% 14.59/9.75 tff(7285,plain,
% 14.59/9.75 (~v95(constB71)),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7284, 7277])).
% 14.59/9.75 tff(7286,plain,
% 14.59/9.75 (((~v95(constB71)) | (~v104(constB71))) | v95(constB71)),
% 14.59/9.75 inference(tautology,[status(thm)],[])).
% 14.59/9.75 tff(7287,plain,
% 14.59/9.75 ((~v95(constB71)) | (~v104(constB71))),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7286, 7285])).
% 14.59/9.75 tff(7288,plain,
% 14.59/9.75 ((~(v94(constB71) <=> (~((~v95(constB71)) | (~v104(constB71)))))) | (~v94(constB71)) | (~((~v95(constB71)) | (~v104(constB71))))),
% 14.59/9.75 inference(tautology,[status(thm)],[])).
% 14.59/9.75 tff(7289,plain,
% 14.59/9.75 (~v94(constB71)),
% 14.59/9.75 inference(unit_resolution,[status(thm)],[7288, 7287, 7270])).
% 14.59/9.75 tff(7290,plain,
% 14.59/9.75 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB71) | (~nextState(constB70, constB71)) | (~(((~v84(constB71, 1)) <=> v84(constB70, 1)) | ((~v84(constB71, 2)) <=> v84(constB70, 2)) | ((~v84(constB71, 0)) <=> v84(constB70, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB71) | (~nextState(constB70, constB71)) | (~(((~v84(constB71, 1)) <=> v84(constB70, 1)) | ((~v84(constB71, 2)) <=> v84(constB70, 2)) | ((~v84(constB71, 0)) <=> v84(constB70, 0)))))),
% 14.59/9.75 inference(rewrite,[status(thm)],[])).
% 14.59/9.75 tff(7291,plain,
% 14.59/9.75 ((v94(constB71) | (~nextState(constB70, constB71)) | (~(((~v84(constB71, 2)) <=> v84(constB70, 2)) | ((~v84(constB71, 1)) <=> v84(constB70, 1)) | ((~v84(constB71, 0)) <=> v84(constB70, 0))))) <=> (v94(constB71) | (~nextState(constB70, constB71)) | (~(((~v84(constB71, 1)) <=> v84(constB70, 1)) | ((~v84(constB71, 2)) <=> v84(constB70, 2)) | ((~v84(constB71, 0)) <=> v84(constB70, 0)))))),
% 14.59/9.75 inference(rewrite,[status(thm)],[])).
% 14.59/9.75 tff(7292,plain,
% 14.59/9.75 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB71) | (~nextState(constB70, constB71)) | (~(((~v84(constB71, 2)) <=> v84(constB70, 2)) | ((~v84(constB71, 1)) <=> v84(constB70, 1)) | ((~v84(constB71, 0)) <=> v84(constB70, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB71) | (~nextState(constB70, constB71)) | (~(((~v84(constB71, 1)) <=> v84(constB70, 1)) | ((~v84(constB71, 2)) <=> v84(constB70, 2)) | ((~v84(constB71, 0)) <=> v84(constB70, 0))))))),
% 14.59/9.75 inference(monotonicity,[status(thm)],[7291])).
% 14.59/9.75 tff(7293,plain,
% 14.59/9.75 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB71) | (~nextState(constB70, constB71)) | (~(((~v84(constB71, 2)) <=> v84(constB70, 2)) | ((~v84(constB71, 1)) <=> v84(constB70, 1)) | ((~v84(constB71, 0)) <=> v84(constB70, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB71) | (~nextState(constB70, constB71)) | (~(((~v84(constB71, 1)) <=> v84(constB70, 1)) | ((~v84(constB71, 2)) <=> v84(constB70, 2)) | ((~v84(constB71, 0)) <=> v84(constB70, 0)))))),
% 14.59/9.76 inference(transitivity,[status(thm)],[7292, 7290])).
% 14.59/9.76 tff(7294,plain,
% 14.59/9.76 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB71) | (~nextState(constB70, constB71)) | (~(((~v84(constB71, 2)) <=> v84(constB70, 2)) | ((~v84(constB71, 1)) <=> v84(constB70, 1)) | ((~v84(constB71, 0)) <=> v84(constB70, 0)))))),
% 14.59/9.76 inference(quant_inst,[status(thm)],[])).
% 14.59/9.76 tff(7295,plain,
% 14.59/9.76 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB71) | (~nextState(constB70, constB71)) | (~(((~v84(constB71, 1)) <=> v84(constB70, 1)) | ((~v84(constB71, 2)) <=> v84(constB70, 2)) | ((~v84(constB71, 0)) <=> v84(constB70, 0))))),
% 14.59/9.76 inference(modus_ponens,[status(thm)],[7294, 7293])).
% 14.59/9.76 tff(7296,plain,
% 14.59/9.76 (v94(constB71) | (~(((~v84(constB71, 1)) <=> v84(constB70, 1)) | ((~v84(constB71, 2)) <=> v84(constB70, 2)) | ((~v84(constB71, 0)) <=> v84(constB70, 0))))),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7295, 7266, 819])).
% 14.59/9.76 tff(7297,plain,
% 14.59/9.76 (~(((~v84(constB71, 1)) <=> v84(constB70, 1)) | ((~v84(constB71, 2)) <=> v84(constB70, 2)) | ((~v84(constB71, 0)) <=> v84(constB70, 0)))),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7296, 7289])).
% 14.59/9.76 tff(7298,plain,
% 14.59/9.76 ((((~v84(constB71, 1)) <=> v84(constB70, 1)) | ((~v84(constB71, 2)) <=> v84(constB70, 2)) | ((~v84(constB71, 0)) <=> v84(constB70, 0))) | (~((~v84(constB71, 2)) <=> v84(constB70, 2)))),
% 14.59/9.76 inference(tautology,[status(thm)],[])).
% 14.59/9.76 tff(7299,plain,
% 14.59/9.76 (~((~v84(constB71, 2)) <=> v84(constB70, 2))),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7298, 7297])).
% 14.59/9.76 tff(7300,plain,
% 14.59/9.76 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 14.59/9.76 inference(rewrite,[status(thm)],[])).
% 14.59/9.76 tff(7301,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_69')).
% 14.59/9.76 tff(7302,plain,
% 14.59/9.76 (nextState(constB69, constB70)),
% 14.59/9.76 inference(modus_ponens,[status(thm)],[7301, 7300])).
% 14.59/9.76 tff(7303,plain,
% 14.59/9.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB69, constB70)) | (~(((~v123(constB70, 2)) <=> v121(constB69, 2)) | ((~v123(constB70, 1)) <=> v121(constB69, 1)) | ((~v123(constB70, 0)) <=> v121(constB69, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB69, constB70)) | (~(((~v123(constB70, 2)) <=> v121(constB69, 2)) | ((~v123(constB70, 1)) <=> v121(constB69, 1)) | ((~v123(constB70, 0)) <=> v121(constB69, 0)))))),
% 14.59/9.76 inference(rewrite,[status(thm)],[])).
% 14.59/9.76 tff(7304,plain,
% 14.59/9.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB69, constB70)) | (~(((~v123(constB70, 2)) <=> v121(constB69, 2)) | ((~v123(constB70, 1)) <=> v121(constB69, 1)) | ((~v123(constB70, 0)) <=> v121(constB69, 0)))))),
% 14.59/9.76 inference(quant_inst,[status(thm)],[])).
% 14.59/9.76 tff(7305,plain,
% 14.59/9.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB69, constB70)) | (~(((~v123(constB70, 2)) <=> v121(constB69, 2)) | ((~v123(constB70, 1)) <=> v121(constB69, 1)) | ((~v123(constB70, 0)) <=> v121(constB69, 0))))),
% 14.59/9.76 inference(modus_ponens,[status(thm)],[7304, 7303])).
% 14.59/9.76 tff(7306,plain,
% 14.59/9.76 (~(((~v123(constB70, 2)) <=> v121(constB69, 2)) | ((~v123(constB70, 1)) <=> v121(constB69, 1)) | ((~v123(constB70, 0)) <=> v121(constB69, 0)))),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7305, 7302, 842])).
% 14.59/9.76 tff(7307,plain,
% 14.59/9.76 ((((~v123(constB70, 2)) <=> v121(constB69, 2)) | ((~v123(constB70, 1)) <=> v121(constB69, 1)) | ((~v123(constB70, 0)) <=> v121(constB69, 0))) | (~((~v123(constB70, 2)) <=> v121(constB69, 2)))),
% 14.59/9.76 inference(tautology,[status(thm)],[])).
% 14.59/9.76 tff(7308,plain,
% 14.59/9.76 (~((~v123(constB70, 2)) <=> v121(constB69, 2))),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7307, 7306])).
% 14.59/9.76 tff(7309,plain,
% 14.59/9.76 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB69) <=> v26(constB69))),
% 14.59/9.76 inference(quant_inst,[status(thm)],[])).
% 14.59/9.76 tff(7310,plain,
% 14.59/9.76 (v105(constB69) <=> v26(constB69)),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7309, 861])).
% 14.59/9.76 tff(7311,plain,
% 14.59/9.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB69))),
% 14.59/9.76 inference(quant_inst,[status(thm)],[])).
% 14.59/9.76 tff(7312,plain,
% 14.59/9.76 (~v26(constB69)),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7311, 873])).
% 14.59/9.76 tff(7313,plain,
% 14.59/9.76 ((~(v105(constB69) <=> v26(constB69))) | (~v105(constB69)) | v26(constB69)),
% 14.59/9.76 inference(tautology,[status(thm)],[])).
% 14.59/9.76 tff(7314,plain,
% 14.59/9.76 ((~(v105(constB69) <=> v26(constB69))) | (~v105(constB69))),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7313, 7312])).
% 14.59/9.76 tff(7315,plain,
% 14.59/9.76 (~v105(constB69)),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7314, 7310])).
% 14.59/9.76 tff(7316,plain,
% 14.59/9.76 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB69) | (~(((~v121(constB69, 2)) <=> v124(constB69, 2)) | ((~v121(constB69, 0)) <=> v124(constB69, 0)) | ((~v121(constB69, 1)) <=> v124(constB69, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB69) | (~(((~v121(constB69, 2)) <=> v124(constB69, 2)) | ((~v121(constB69, 0)) <=> v124(constB69, 0)) | ((~v121(constB69, 1)) <=> v124(constB69, 1)))))),
% 14.59/9.76 inference(rewrite,[status(thm)],[])).
% 14.59/9.76 tff(7317,plain,
% 14.59/9.76 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB69) | (~(((~v121(constB69, 2)) <=> v124(constB69, 2)) | ((~v121(constB69, 0)) <=> v124(constB69, 0)) | ((~v121(constB69, 1)) <=> v124(constB69, 1)))))),
% 14.59/9.76 inference(quant_inst,[status(thm)],[])).
% 14.59/9.76 tff(7318,plain,
% 14.59/9.76 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB69) | (~(((~v121(constB69, 2)) <=> v124(constB69, 2)) | ((~v121(constB69, 0)) <=> v124(constB69, 0)) | ((~v121(constB69, 1)) <=> v124(constB69, 1))))),
% 14.59/9.76 inference(modus_ponens,[status(thm)],[7317, 7316])).
% 14.59/9.76 tff(7319,plain,
% 14.59/9.76 (v105(constB69) | (~(((~v121(constB69, 2)) <=> v124(constB69, 2)) | ((~v121(constB69, 0)) <=> v124(constB69, 0)) | ((~v121(constB69, 1)) <=> v124(constB69, 1))))),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7318, 891])).
% 14.59/9.76 tff(7320,plain,
% 14.59/9.76 (~(((~v121(constB69, 2)) <=> v124(constB69, 2)) | ((~v121(constB69, 0)) <=> v124(constB69, 0)) | ((~v121(constB69, 1)) <=> v124(constB69, 1)))),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7319, 7315])).
% 14.59/9.76 tff(7321,plain,
% 14.59/9.76 ((((~v121(constB69, 2)) <=> v124(constB69, 2)) | ((~v121(constB69, 0)) <=> v124(constB69, 0)) | ((~v121(constB69, 1)) <=> v124(constB69, 1))) | (~((~v121(constB69, 2)) <=> v124(constB69, 2)))),
% 14.59/9.76 inference(tautology,[status(thm)],[])).
% 14.59/9.76 tff(7322,plain,
% 14.59/9.76 (~((~v121(constB69, 2)) <=> v124(constB69, 2))),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7321, 7320])).
% 14.59/9.76 tff(7323,plain,
% 14.59/9.76 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))))))),
% 14.59/9.76 inference(rewrite,[status(thm)],[])).
% 14.59/9.76 tff(7324,plain,
% 14.59/9.76 ((v115(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 2) | (~v84(constB69, 1))))) <=> (v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))))),
% 14.59/9.76 inference(rewrite,[status(thm)],[])).
% 14.59/9.76 tff(7325,plain,
% 14.59/9.76 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 2) | (~v84(constB69, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))))))),
% 14.59/9.76 inference(monotonicity,[status(thm)],[7324])).
% 14.59/9.76 tff(7326,plain,
% 14.59/9.76 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 2) | (~v84(constB69, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))))))),
% 14.59/9.76 inference(transitivity,[status(thm)],[7325, 7323])).
% 14.59/9.76 tff(7327,plain,
% 14.59/9.76 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 0) | v84(constB69, 2) | (~v84(constB69, 1)))))),
% 14.59/9.76 inference(quant_inst,[status(thm)],[])).
% 14.59/9.76 tff(7328,plain,
% 14.59/9.76 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))))),
% 14.59/9.76 inference(modus_ponens,[status(thm)],[7327, 7326])).
% 14.59/9.76 tff(7329,plain,
% 14.59/9.76 (v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))))),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7328, 985])).
% 14.59/9.76 tff(7330,plain,
% 14.59/9.76 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 14.59/9.76 inference(rewrite,[status(thm)],[])).
% 14.59/9.76 tff(7331,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_68')).
% 14.59/9.76 tff(7332,plain,
% 14.59/9.76 (nextState(constB68, constB69)),
% 14.59/9.76 inference(modus_ponens,[status(thm)],[7331, 7330])).
% 14.59/9.76 tff(7333,plain,
% 14.59/9.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB68, constB69)) | (v94(constB69) <=> (~((~v95(constB69)) | (~v104(constB69))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB68, constB69)) | (v94(constB69) <=> (~((~v95(constB69)) | (~v104(constB69))))))),
% 14.59/9.76 inference(rewrite,[status(thm)],[])).
% 14.59/9.76 tff(7334,plain,
% 14.59/9.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB68, constB69)) | (v94(constB69) <=> (~((~v95(constB69)) | (~v104(constB69))))))),
% 14.59/9.76 inference(quant_inst,[status(thm)],[])).
% 14.59/9.76 tff(7335,plain,
% 14.59/9.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB68, constB69)) | (v94(constB69) <=> (~((~v95(constB69)) | (~v104(constB69)))))),
% 14.59/9.76 inference(modus_ponens,[status(thm)],[7334, 7333])).
% 14.59/9.76 tff(7336,plain,
% 14.59/9.76 (v94(constB69) <=> (~((~v95(constB69)) | (~v104(constB69))))),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7335, 7332, 770])).
% 14.59/9.76 tff(7337,plain,
% 14.59/9.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69))))))),
% 14.59/9.76 inference(rewrite,[status(thm)],[])).
% 14.59/9.76 tff(7338,plain,
% 14.59/9.76 (((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v96(constB69)) | (~v1(constB69)))))) <=> ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69))))))),
% 14.59/9.76 inference(rewrite,[status(thm)],[])).
% 14.59/9.76 tff(7339,plain,
% 14.59/9.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v96(constB69)) | (~v1(constB69))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69)))))))),
% 14.59/9.76 inference(monotonicity,[status(thm)],[7338])).
% 14.59/9.76 tff(7340,plain,
% 14.59/9.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v96(constB69)) | (~v1(constB69))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69))))))),
% 14.59/9.76 inference(transitivity,[status(thm)],[7339, 7337])).
% 14.59/9.76 tff(7341,plain,
% 14.59/9.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v96(constB69)) | (~v1(constB69))))))),
% 14.59/9.76 inference(quant_inst,[status(thm)],[])).
% 14.59/9.76 tff(7342,plain,
% 14.59/9.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69)))))),
% 14.59/9.76 inference(modus_ponens,[status(thm)],[7341, 7340])).
% 14.59/9.76 tff(7343,plain,
% 14.59/9.76 (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69))))),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7342, 7332, 790])).
% 14.59/9.76 tff(7344,plain,
% 14.59/9.76 ((~v1(constB69)) <=> (~v1(constB69))),
% 14.59/9.76 inference(rewrite,[status(thm)],[])).
% 14.59/9.76 tff(7345,axiom,(~v1(constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_69')).
% 14.59/9.76 tff(7346,plain,
% 14.59/9.76 (~v1(constB69)),
% 14.59/9.76 inference(modus_ponens,[status(thm)],[7345, 7344])).
% 14.59/9.76 tff(7347,plain,
% 14.59/9.76 (((~v1(constB69)) | (~v96(constB69))) | v1(constB69)),
% 14.59/9.76 inference(tautology,[status(thm)],[])).
% 14.59/9.76 tff(7348,plain,
% 14.59/9.76 ((~v1(constB69)) | (~v96(constB69))),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7347, 7346])).
% 14.59/9.76 tff(7349,plain,
% 14.59/9.76 ((~(v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69)))))) | (~v95(constB69)) | (~((~v1(constB69)) | (~v96(constB69))))),
% 14.59/9.76 inference(tautology,[status(thm)],[])).
% 14.59/9.76 tff(7350,plain,
% 14.59/9.76 ((~(v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69)))))) | (~v95(constB69))),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7349, 7348])).
% 14.59/9.76 tff(7351,plain,
% 14.59/9.76 (~v95(constB69)),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7350, 7343])).
% 14.59/9.76 tff(7352,plain,
% 14.59/9.76 (((~v95(constB69)) | (~v104(constB69))) | v95(constB69)),
% 14.59/9.76 inference(tautology,[status(thm)],[])).
% 14.59/9.76 tff(7353,plain,
% 14.59/9.76 ((~v95(constB69)) | (~v104(constB69))),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7352, 7351])).
% 14.59/9.76 tff(7354,plain,
% 14.59/9.76 ((~(v94(constB69) <=> (~((~v95(constB69)) | (~v104(constB69)))))) | (~v94(constB69)) | (~((~v95(constB69)) | (~v104(constB69))))),
% 14.59/9.76 inference(tautology,[status(thm)],[])).
% 14.59/9.76 tff(7355,plain,
% 14.59/9.76 (~v94(constB69)),
% 14.59/9.76 inference(unit_resolution,[status(thm)],[7354, 7353, 7336])).
% 14.59/9.76 tff(7356,plain,
% 14.59/9.76 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB69) | (~nextState(constB68, constB69)) | (~(((~v84(constB69, 1)) <=> v84(constB68, 1)) | ((~v84(constB69, 2)) <=> v84(constB68, 2)) | ((~v84(constB69, 0)) <=> v84(constB68, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB69) | (~nextState(constB68, constB69)) | (~(((~v84(constB69, 1)) <=> v84(constB68, 1)) | ((~v84(constB69, 2)) <=> v84(constB68, 2)) | ((~v84(constB69, 0)) <=> v84(constB68, 0)))))),
% 14.59/9.76 inference(rewrite,[status(thm)],[])).
% 14.59/9.76 tff(7357,plain,
% 14.59/9.76 ((v94(constB69) | (~nextState(constB68, constB69)) | (~(((~v84(constB69, 2)) <=> v84(constB68, 2)) | ((~v84(constB69, 1)) <=> v84(constB68, 1)) | ((~v84(constB69, 0)) <=> v84(constB68, 0))))) <=> (v94(constB69) | (~nextState(constB68, constB69)) | (~(((~v84(constB69, 1)) <=> v84(constB68, 1)) | ((~v84(constB69, 2)) <=> v84(constB68, 2)) | ((~v84(constB69, 0)) <=> v84(constB68, 0)))))),
% 14.59/9.76 inference(rewrite,[status(thm)],[])).
% 14.59/9.76 tff(7358,plain,
% 14.59/9.76 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB69) | (~nextState(constB68, constB69)) | (~(((~v84(constB69, 2)) <=> v84(constB68, 2)) | ((~v84(constB69, 1)) <=> v84(constB68, 1)) | ((~v84(constB69, 0)) <=> v84(constB68, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB69) | (~nextState(constB68, constB69)) | (~(((~v84(constB69, 1)) <=> v84(constB68, 1)) | ((~v84(constB69, 2)) <=> v84(constB68, 2)) | ((~v84(constB69, 0)) <=> v84(constB68, 0))))))),
% 14.59/9.76 inference(monotonicity,[status(thm)],[7357])).
% 14.59/9.76 tff(7359,plain,
% 14.59/9.76 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB69) | (~nextState(constB68, constB69)) | (~(((~v84(constB69, 2)) <=> v84(constB68, 2)) | ((~v84(constB69, 1)) <=> v84(constB68, 1)) | ((~v84(constB69, 0)) <=> v84(constB68, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB69) | (~nextState(constB68, constB69)) | (~(((~v84(constB69, 1)) <=> v84(constB68, 1)) | ((~v84(constB69, 2)) <=> v84(constB68, 2)) | ((~v84(constB69, 0)) <=> v84(constB68, 0)))))),
% 14.59/9.76 inference(transitivity,[status(thm)],[7358, 7356])).
% 14.59/9.76 tff(7360,plain,
% 14.59/9.76 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB69) | (~nextState(constB68, constB69)) | (~(((~v84(constB69, 2)) <=> v84(constB68, 2)) | ((~v84(constB69, 1)) <=> v84(constB68, 1)) | ((~v84(constB69, 0)) <=> v84(constB68, 0)))))),
% 14.59/9.77 inference(quant_inst,[status(thm)],[])).
% 14.59/9.77 tff(7361,plain,
% 14.59/9.77 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB69) | (~nextState(constB68, constB69)) | (~(((~v84(constB69, 1)) <=> v84(constB68, 1)) | ((~v84(constB69, 2)) <=> v84(constB68, 2)) | ((~v84(constB69, 0)) <=> v84(constB68, 0))))),
% 14.59/9.77 inference(modus_ponens,[status(thm)],[7360, 7359])).
% 14.59/9.77 tff(7362,plain,
% 14.59/9.77 (v94(constB69) | (~(((~v84(constB69, 1)) <=> v84(constB68, 1)) | ((~v84(constB69, 2)) <=> v84(constB68, 2)) | ((~v84(constB69, 0)) <=> v84(constB68, 0))))),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7361, 7332, 819])).
% 14.59/9.77 tff(7363,plain,
% 14.59/9.77 (~(((~v84(constB69, 1)) <=> v84(constB68, 1)) | ((~v84(constB69, 2)) <=> v84(constB68, 2)) | ((~v84(constB69, 0)) <=> v84(constB68, 0)))),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7362, 7355])).
% 14.59/9.77 tff(7364,plain,
% 14.59/9.77 ((((~v84(constB69, 1)) <=> v84(constB68, 1)) | ((~v84(constB69, 2)) <=> v84(constB68, 2)) | ((~v84(constB69, 0)) <=> v84(constB68, 0))) | (~((~v84(constB69, 2)) <=> v84(constB68, 2)))),
% 14.59/9.77 inference(tautology,[status(thm)],[])).
% 14.59/9.77 tff(7365,plain,
% 14.59/9.77 (~((~v84(constB69, 2)) <=> v84(constB68, 2))),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7364, 7363])).
% 14.59/9.77 tff(7366,plain,
% 14.59/9.77 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 14.59/9.77 inference(rewrite,[status(thm)],[])).
% 14.59/9.77 tff(7367,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_67')).
% 14.59/9.77 tff(7368,plain,
% 14.59/9.77 (nextState(constB67, constB68)),
% 14.59/9.77 inference(modus_ponens,[status(thm)],[7367, 7366])).
% 14.59/9.77 tff(7369,plain,
% 14.59/9.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB67, constB68)) | (~(((~v123(constB68, 2)) <=> v121(constB67, 2)) | ((~v123(constB68, 1)) <=> v121(constB67, 1)) | ((~v123(constB68, 0)) <=> v121(constB67, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB67, constB68)) | (~(((~v123(constB68, 2)) <=> v121(constB67, 2)) | ((~v123(constB68, 1)) <=> v121(constB67, 1)) | ((~v123(constB68, 0)) <=> v121(constB67, 0)))))),
% 14.59/9.77 inference(rewrite,[status(thm)],[])).
% 14.59/9.77 tff(7370,plain,
% 14.59/9.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB67, constB68)) | (~(((~v123(constB68, 2)) <=> v121(constB67, 2)) | ((~v123(constB68, 1)) <=> v121(constB67, 1)) | ((~v123(constB68, 0)) <=> v121(constB67, 0)))))),
% 14.59/9.77 inference(quant_inst,[status(thm)],[])).
% 14.59/9.77 tff(7371,plain,
% 14.59/9.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB67, constB68)) | (~(((~v123(constB68, 2)) <=> v121(constB67, 2)) | ((~v123(constB68, 1)) <=> v121(constB67, 1)) | ((~v123(constB68, 0)) <=> v121(constB67, 0))))),
% 14.59/9.77 inference(modus_ponens,[status(thm)],[7370, 7369])).
% 14.59/9.77 tff(7372,plain,
% 14.59/9.77 (~(((~v123(constB68, 2)) <=> v121(constB67, 2)) | ((~v123(constB68, 1)) <=> v121(constB67, 1)) | ((~v123(constB68, 0)) <=> v121(constB67, 0)))),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7371, 7368, 842])).
% 14.59/9.77 tff(7373,plain,
% 14.59/9.77 ((((~v123(constB68, 2)) <=> v121(constB67, 2)) | ((~v123(constB68, 1)) <=> v121(constB67, 1)) | ((~v123(constB68, 0)) <=> v121(constB67, 0))) | (~((~v123(constB68, 2)) <=> v121(constB67, 2)))),
% 14.59/9.77 inference(tautology,[status(thm)],[])).
% 14.59/9.77 tff(7374,plain,
% 14.59/9.77 (~((~v123(constB68, 2)) <=> v121(constB67, 2))),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7373, 7372])).
% 14.59/9.77 tff(7375,plain,
% 14.59/9.77 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB67) <=> v26(constB67))),
% 14.59/9.77 inference(quant_inst,[status(thm)],[])).
% 14.59/9.77 tff(7376,plain,
% 14.59/9.77 (v105(constB67) <=> v26(constB67)),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7375, 861])).
% 14.59/9.77 tff(7377,plain,
% 14.59/9.77 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB67))),
% 14.59/9.77 inference(quant_inst,[status(thm)],[])).
% 14.59/9.77 tff(7378,plain,
% 14.59/9.77 (~v26(constB67)),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7377, 873])).
% 14.59/9.77 tff(7379,plain,
% 14.59/9.77 ((~(v105(constB67) <=> v26(constB67))) | (~v105(constB67)) | v26(constB67)),
% 14.59/9.77 inference(tautology,[status(thm)],[])).
% 14.59/9.77 tff(7380,plain,
% 14.59/9.77 ((~(v105(constB67) <=> v26(constB67))) | (~v105(constB67))),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7379, 7378])).
% 14.59/9.77 tff(7381,plain,
% 14.59/9.77 (~v105(constB67)),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7380, 7376])).
% 14.59/9.77 tff(7382,plain,
% 14.59/9.77 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB67) | (~(((~v121(constB67, 2)) <=> v124(constB67, 2)) | ((~v121(constB67, 0)) <=> v124(constB67, 0)) | ((~v121(constB67, 1)) <=> v124(constB67, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB67) | (~(((~v121(constB67, 2)) <=> v124(constB67, 2)) | ((~v121(constB67, 0)) <=> v124(constB67, 0)) | ((~v121(constB67, 1)) <=> v124(constB67, 1)))))),
% 14.59/9.77 inference(rewrite,[status(thm)],[])).
% 14.59/9.77 tff(7383,plain,
% 14.59/9.77 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB67) | (~(((~v121(constB67, 2)) <=> v124(constB67, 2)) | ((~v121(constB67, 0)) <=> v124(constB67, 0)) | ((~v121(constB67, 1)) <=> v124(constB67, 1)))))),
% 14.59/9.77 inference(quant_inst,[status(thm)],[])).
% 14.59/9.77 tff(7384,plain,
% 14.59/9.77 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB67) | (~(((~v121(constB67, 2)) <=> v124(constB67, 2)) | ((~v121(constB67, 0)) <=> v124(constB67, 0)) | ((~v121(constB67, 1)) <=> v124(constB67, 1))))),
% 14.59/9.77 inference(modus_ponens,[status(thm)],[7383, 7382])).
% 14.59/9.77 tff(7385,plain,
% 14.59/9.77 (v105(constB67) | (~(((~v121(constB67, 2)) <=> v124(constB67, 2)) | ((~v121(constB67, 0)) <=> v124(constB67, 0)) | ((~v121(constB67, 1)) <=> v124(constB67, 1))))),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7384, 891])).
% 14.59/9.77 tff(7386,plain,
% 14.59/9.77 (~(((~v121(constB67, 2)) <=> v124(constB67, 2)) | ((~v121(constB67, 0)) <=> v124(constB67, 0)) | ((~v121(constB67, 1)) <=> v124(constB67, 1)))),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7385, 7381])).
% 14.59/9.77 tff(7387,plain,
% 14.59/9.77 ((((~v121(constB67, 2)) <=> v124(constB67, 2)) | ((~v121(constB67, 0)) <=> v124(constB67, 0)) | ((~v121(constB67, 1)) <=> v124(constB67, 1))) | (~((~v121(constB67, 2)) <=> v124(constB67, 2)))),
% 14.59/9.77 inference(tautology,[status(thm)],[])).
% 14.59/9.77 tff(7388,plain,
% 14.59/9.77 (~((~v121(constB67, 2)) <=> v124(constB67, 2))),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7387, 7386])).
% 14.59/9.77 tff(7389,plain,
% 14.59/9.77 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))))),
% 14.59/9.77 inference(quant_inst,[status(thm)],[])).
% 14.59/9.77 tff(7390,plain,
% 14.59/9.77 (v114(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))))),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7389, 1064])).
% 14.59/9.77 tff(7391,plain,
% 14.59/9.77 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 14.59/9.77 inference(rewrite,[status(thm)],[])).
% 14.59/9.77 tff(7392,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_66')).
% 14.59/9.77 tff(7393,plain,
% 14.59/9.77 (nextState(constB66, constB67)),
% 14.59/9.77 inference(modus_ponens,[status(thm)],[7392, 7391])).
% 14.59/9.77 tff(7394,plain,
% 14.59/9.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB66, constB67)) | (v94(constB67) <=> (~((~v95(constB67)) | (~v104(constB67))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB66, constB67)) | (v94(constB67) <=> (~((~v95(constB67)) | (~v104(constB67))))))),
% 14.59/9.77 inference(rewrite,[status(thm)],[])).
% 14.59/9.77 tff(7395,plain,
% 14.59/9.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB66, constB67)) | (v94(constB67) <=> (~((~v95(constB67)) | (~v104(constB67))))))),
% 14.59/9.77 inference(quant_inst,[status(thm)],[])).
% 14.59/9.77 tff(7396,plain,
% 14.59/9.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB66, constB67)) | (v94(constB67) <=> (~((~v95(constB67)) | (~v104(constB67)))))),
% 14.59/9.77 inference(modus_ponens,[status(thm)],[7395, 7394])).
% 14.59/9.77 tff(7397,plain,
% 14.59/9.77 (v94(constB67) <=> (~((~v95(constB67)) | (~v104(constB67))))),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7396, 7393, 770])).
% 14.59/9.77 tff(7398,plain,
% 14.59/9.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67))))))),
% 14.59/9.77 inference(rewrite,[status(thm)],[])).
% 14.59/9.77 tff(7399,plain,
% 14.59/9.77 (((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v96(constB67)) | (~v1(constB67)))))) <=> ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67))))))),
% 14.59/9.77 inference(rewrite,[status(thm)],[])).
% 14.59/9.77 tff(7400,plain,
% 14.59/9.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v96(constB67)) | (~v1(constB67))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67)))))))),
% 14.59/9.77 inference(monotonicity,[status(thm)],[7399])).
% 14.59/9.77 tff(7401,plain,
% 14.59/9.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v96(constB67)) | (~v1(constB67))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67))))))),
% 14.59/9.77 inference(transitivity,[status(thm)],[7400, 7398])).
% 14.59/9.77 tff(7402,plain,
% 14.59/9.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v96(constB67)) | (~v1(constB67))))))),
% 14.59/9.77 inference(quant_inst,[status(thm)],[])).
% 14.59/9.77 tff(7403,plain,
% 14.59/9.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67)))))),
% 14.59/9.77 inference(modus_ponens,[status(thm)],[7402, 7401])).
% 14.59/9.77 tff(7404,plain,
% 14.59/9.77 (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67))))),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7403, 7393, 790])).
% 14.59/9.77 tff(7405,plain,
% 14.59/9.77 ((~v1(constB67)) <=> (~v1(constB67))),
% 14.59/9.77 inference(rewrite,[status(thm)],[])).
% 14.59/9.77 tff(7406,axiom,(~v1(constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_67')).
% 14.59/9.77 tff(7407,plain,
% 14.59/9.77 (~v1(constB67)),
% 14.59/9.77 inference(modus_ponens,[status(thm)],[7406, 7405])).
% 14.59/9.77 tff(7408,plain,
% 14.59/9.77 (((~v1(constB67)) | (~v96(constB67))) | v1(constB67)),
% 14.59/9.77 inference(tautology,[status(thm)],[])).
% 14.59/9.77 tff(7409,plain,
% 14.59/9.77 ((~v1(constB67)) | (~v96(constB67))),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7408, 7407])).
% 14.59/9.77 tff(7410,plain,
% 14.59/9.77 ((~(v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67)))))) | (~v95(constB67)) | (~((~v1(constB67)) | (~v96(constB67))))),
% 14.59/9.77 inference(tautology,[status(thm)],[])).
% 14.59/9.77 tff(7411,plain,
% 14.59/9.77 ((~(v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67)))))) | (~v95(constB67))),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7410, 7409])).
% 14.59/9.77 tff(7412,plain,
% 14.59/9.77 (~v95(constB67)),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7411, 7404])).
% 14.59/9.77 tff(7413,plain,
% 14.59/9.77 (((~v95(constB67)) | (~v104(constB67))) | v95(constB67)),
% 14.59/9.77 inference(tautology,[status(thm)],[])).
% 14.59/9.77 tff(7414,plain,
% 14.59/9.77 ((~v95(constB67)) | (~v104(constB67))),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7413, 7412])).
% 14.59/9.77 tff(7415,plain,
% 14.59/9.77 ((~(v94(constB67) <=> (~((~v95(constB67)) | (~v104(constB67)))))) | (~v94(constB67)) | (~((~v95(constB67)) | (~v104(constB67))))),
% 14.59/9.77 inference(tautology,[status(thm)],[])).
% 14.59/9.77 tff(7416,plain,
% 14.59/9.77 (~v94(constB67)),
% 14.59/9.77 inference(unit_resolution,[status(thm)],[7415, 7414, 7397])).
% 14.59/9.77 tff(7417,plain,
% 14.59/9.77 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB67) | (~nextState(constB66, constB67)) | (~(((~v84(constB67, 1)) <=> v84(constB66, 1)) | ((~v84(constB67, 2)) <=> v84(constB66, 2)) | ((~v84(constB67, 0)) <=> v84(constB66, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB67) | (~nextState(constB66, constB67)) | (~(((~v84(constB67, 1)) <=> v84(constB66, 1)) | ((~v84(constB67, 2)) <=> v84(constB66, 2)) | ((~v84(constB67, 0)) <=> v84(constB66, 0)))))),
% 14.59/9.77 inference(rewrite,[status(thm)],[])).
% 14.59/9.77 tff(7418,plain,
% 14.59/9.77 ((v94(constB67) | (~nextState(constB66, constB67)) | (~(((~v84(constB67, 2)) <=> v84(constB66, 2)) | ((~v84(constB67, 1)) <=> v84(constB66, 1)) | ((~v84(constB67, 0)) <=> v84(constB66, 0))))) <=> (v94(constB67) | (~nextState(constB66, constB67)) | (~(((~v84(constB67, 1)) <=> v84(constB66, 1)) | ((~v84(constB67, 2)) <=> v84(constB66, 2)) | ((~v84(constB67, 0)) <=> v84(constB66, 0)))))),
% 14.59/9.77 inference(rewrite,[status(thm)],[])).
% 14.59/9.77 tff(7419,plain,
% 14.59/9.77 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB67) | (~nextState(constB66, constB67)) | (~(((~v84(constB67, 2)) <=> v84(constB66, 2)) | ((~v84(constB67, 1)) <=> v84(constB66, 1)) | ((~v84(constB67, 0)) <=> v84(constB66, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB67) | (~nextState(constB66, constB67)) | (~(((~v84(constB67, 1)) <=> v84(constB66, 1)) | ((~v84(constB67, 2)) <=> v84(constB66, 2)) | ((~v84(constB67, 0)) <=> v84(constB66, 0))))))),
% 14.59/9.78 inference(monotonicity,[status(thm)],[7418])).
% 14.59/9.78 tff(7420,plain,
% 14.59/9.78 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB67) | (~nextState(constB66, constB67)) | (~(((~v84(constB67, 2)) <=> v84(constB66, 2)) | ((~v84(constB67, 1)) <=> v84(constB66, 1)) | ((~v84(constB67, 0)) <=> v84(constB66, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB67) | (~nextState(constB66, constB67)) | (~(((~v84(constB67, 1)) <=> v84(constB66, 1)) | ((~v84(constB67, 2)) <=> v84(constB66, 2)) | ((~v84(constB67, 0)) <=> v84(constB66, 0)))))),
% 14.59/9.78 inference(transitivity,[status(thm)],[7419, 7417])).
% 14.59/9.78 tff(7421,plain,
% 14.59/9.78 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB67) | (~nextState(constB66, constB67)) | (~(((~v84(constB67, 2)) <=> v84(constB66, 2)) | ((~v84(constB67, 1)) <=> v84(constB66, 1)) | ((~v84(constB67, 0)) <=> v84(constB66, 0)))))),
% 14.59/9.78 inference(quant_inst,[status(thm)],[])).
% 14.59/9.78 tff(7422,plain,
% 14.59/9.78 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB67) | (~nextState(constB66, constB67)) | (~(((~v84(constB67, 1)) <=> v84(constB66, 1)) | ((~v84(constB67, 2)) <=> v84(constB66, 2)) | ((~v84(constB67, 0)) <=> v84(constB66, 0))))),
% 14.59/9.78 inference(modus_ponens,[status(thm)],[7421, 7420])).
% 14.59/9.78 tff(7423,plain,
% 14.59/9.78 (v94(constB67) | (~(((~v84(constB67, 1)) <=> v84(constB66, 1)) | ((~v84(constB67, 2)) <=> v84(constB66, 2)) | ((~v84(constB67, 0)) <=> v84(constB66, 0))))),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7422, 7393, 819])).
% 14.59/9.78 tff(7424,plain,
% 14.59/9.78 (~(((~v84(constB67, 1)) <=> v84(constB66, 1)) | ((~v84(constB67, 2)) <=> v84(constB66, 2)) | ((~v84(constB67, 0)) <=> v84(constB66, 0)))),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7423, 7416])).
% 14.59/9.78 tff(7425,plain,
% 14.59/9.78 ((((~v84(constB67, 1)) <=> v84(constB66, 1)) | ((~v84(constB67, 2)) <=> v84(constB66, 2)) | ((~v84(constB67, 0)) <=> v84(constB66, 0))) | (~((~v84(constB67, 2)) <=> v84(constB66, 2)))),
% 14.59/9.78 inference(tautology,[status(thm)],[])).
% 14.59/9.78 tff(7426,plain,
% 14.59/9.78 (~((~v84(constB67, 2)) <=> v84(constB66, 2))),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7425, 7424])).
% 14.59/9.78 tff(7427,plain,
% 14.59/9.78 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 14.59/9.78 inference(rewrite,[status(thm)],[])).
% 14.59/9.78 tff(7428,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_65')).
% 14.59/9.78 tff(7429,plain,
% 14.59/9.78 (nextState(constB65, constB66)),
% 14.59/9.78 inference(modus_ponens,[status(thm)],[7428, 7427])).
% 14.59/9.78 tff(7430,plain,
% 14.59/9.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB65, constB66)) | (~(((~v123(constB66, 2)) <=> v121(constB65, 2)) | ((~v123(constB66, 1)) <=> v121(constB65, 1)) | ((~v123(constB66, 0)) <=> v121(constB65, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB65, constB66)) | (~(((~v123(constB66, 2)) <=> v121(constB65, 2)) | ((~v123(constB66, 1)) <=> v121(constB65, 1)) | ((~v123(constB66, 0)) <=> v121(constB65, 0)))))),
% 14.59/9.78 inference(rewrite,[status(thm)],[])).
% 14.59/9.78 tff(7431,plain,
% 14.59/9.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB65, constB66)) | (~(((~v123(constB66, 2)) <=> v121(constB65, 2)) | ((~v123(constB66, 1)) <=> v121(constB65, 1)) | ((~v123(constB66, 0)) <=> v121(constB65, 0)))))),
% 14.59/9.78 inference(quant_inst,[status(thm)],[])).
% 14.59/9.78 tff(7432,plain,
% 14.59/9.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB65, constB66)) | (~(((~v123(constB66, 2)) <=> v121(constB65, 2)) | ((~v123(constB66, 1)) <=> v121(constB65, 1)) | ((~v123(constB66, 0)) <=> v121(constB65, 0))))),
% 14.59/9.78 inference(modus_ponens,[status(thm)],[7431, 7430])).
% 14.59/9.78 tff(7433,plain,
% 14.59/9.78 (~(((~v123(constB66, 2)) <=> v121(constB65, 2)) | ((~v123(constB66, 1)) <=> v121(constB65, 1)) | ((~v123(constB66, 0)) <=> v121(constB65, 0)))),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7432, 7429, 842])).
% 14.59/9.78 tff(7434,plain,
% 14.59/9.78 ((((~v123(constB66, 2)) <=> v121(constB65, 2)) | ((~v123(constB66, 1)) <=> v121(constB65, 1)) | ((~v123(constB66, 0)) <=> v121(constB65, 0))) | (~((~v123(constB66, 2)) <=> v121(constB65, 2)))),
% 14.59/9.78 inference(tautology,[status(thm)],[])).
% 14.59/9.78 tff(7435,plain,
% 14.59/9.78 (~((~v123(constB66, 2)) <=> v121(constB65, 2))),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7434, 7433])).
% 14.59/9.78 tff(7436,plain,
% 14.59/9.78 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB65) <=> v26(constB65))),
% 14.59/9.78 inference(quant_inst,[status(thm)],[])).
% 14.59/9.78 tff(7437,plain,
% 14.59/9.78 (v105(constB65) <=> v26(constB65)),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7436, 861])).
% 14.59/9.78 tff(7438,plain,
% 14.59/9.78 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB65))),
% 14.59/9.78 inference(quant_inst,[status(thm)],[])).
% 14.59/9.78 tff(7439,plain,
% 14.59/9.78 (~v26(constB65)),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7438, 873])).
% 14.59/9.78 tff(7440,plain,
% 14.59/9.78 ((~(v105(constB65) <=> v26(constB65))) | (~v105(constB65)) | v26(constB65)),
% 14.59/9.78 inference(tautology,[status(thm)],[])).
% 14.59/9.78 tff(7441,plain,
% 14.59/9.78 ((~(v105(constB65) <=> v26(constB65))) | (~v105(constB65))),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7440, 7439])).
% 14.59/9.78 tff(7442,plain,
% 14.59/9.78 (~v105(constB65)),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7441, 7437])).
% 14.59/9.78 tff(7443,plain,
% 14.59/9.78 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB65) | (~(((~v121(constB65, 2)) <=> v124(constB65, 2)) | ((~v121(constB65, 0)) <=> v124(constB65, 0)) | ((~v121(constB65, 1)) <=> v124(constB65, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB65) | (~(((~v121(constB65, 2)) <=> v124(constB65, 2)) | ((~v121(constB65, 0)) <=> v124(constB65, 0)) | ((~v121(constB65, 1)) <=> v124(constB65, 1)))))),
% 14.59/9.78 inference(rewrite,[status(thm)],[])).
% 14.59/9.78 tff(7444,plain,
% 14.59/9.78 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB65) | (~(((~v121(constB65, 2)) <=> v124(constB65, 2)) | ((~v121(constB65, 0)) <=> v124(constB65, 0)) | ((~v121(constB65, 1)) <=> v124(constB65, 1)))))),
% 14.59/9.78 inference(quant_inst,[status(thm)],[])).
% 14.59/9.78 tff(7445,plain,
% 14.59/9.78 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB65) | (~(((~v121(constB65, 2)) <=> v124(constB65, 2)) | ((~v121(constB65, 0)) <=> v124(constB65, 0)) | ((~v121(constB65, 1)) <=> v124(constB65, 1))))),
% 14.59/9.78 inference(modus_ponens,[status(thm)],[7444, 7443])).
% 14.59/9.78 tff(7446,plain,
% 14.59/9.78 (v105(constB65) | (~(((~v121(constB65, 2)) <=> v124(constB65, 2)) | ((~v121(constB65, 0)) <=> v124(constB65, 0)) | ((~v121(constB65, 1)) <=> v124(constB65, 1))))),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7445, 891])).
% 14.59/9.78 tff(7447,plain,
% 14.59/9.78 (~(((~v121(constB65, 2)) <=> v124(constB65, 2)) | ((~v121(constB65, 0)) <=> v124(constB65, 0)) | ((~v121(constB65, 1)) <=> v124(constB65, 1)))),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7446, 7442])).
% 14.59/9.78 tff(7448,plain,
% 14.59/9.78 ((((~v121(constB65, 2)) <=> v124(constB65, 2)) | ((~v121(constB65, 0)) <=> v124(constB65, 0)) | ((~v121(constB65, 1)) <=> v124(constB65, 1))) | (~((~v121(constB65, 2)) <=> v124(constB65, 2)))),
% 14.59/9.78 inference(tautology,[status(thm)],[])).
% 14.59/9.78 tff(7449,plain,
% 14.59/9.78 (~((~v121(constB65, 2)) <=> v124(constB65, 2))),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7448, 7447])).
% 14.59/9.78 tff(7450,plain,
% 14.59/9.78 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))))),
% 14.59/9.78 inference(quant_inst,[status(thm)],[])).
% 14.59/9.78 tff(7451,plain,
% 14.59/9.78 (v113(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)))),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7450, 1466])).
% 14.59/9.78 tff(7452,plain,
% 14.59/9.78 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 14.59/9.78 inference(rewrite,[status(thm)],[])).
% 14.59/9.78 tff(7453,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_64')).
% 14.59/9.78 tff(7454,plain,
% 14.59/9.78 (nextState(constB64, constB65)),
% 14.59/9.78 inference(modus_ponens,[status(thm)],[7453, 7452])).
% 14.59/9.78 tff(7455,plain,
% 14.59/9.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB64, constB65)) | (v94(constB65) <=> (~((~v95(constB65)) | (~v104(constB65))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB64, constB65)) | (v94(constB65) <=> (~((~v95(constB65)) | (~v104(constB65))))))),
% 14.59/9.78 inference(rewrite,[status(thm)],[])).
% 14.59/9.78 tff(7456,plain,
% 14.59/9.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB64, constB65)) | (v94(constB65) <=> (~((~v95(constB65)) | (~v104(constB65))))))),
% 14.59/9.78 inference(quant_inst,[status(thm)],[])).
% 14.59/9.78 tff(7457,plain,
% 14.59/9.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB64, constB65)) | (v94(constB65) <=> (~((~v95(constB65)) | (~v104(constB65)))))),
% 14.59/9.78 inference(modus_ponens,[status(thm)],[7456, 7455])).
% 14.59/9.78 tff(7458,plain,
% 14.59/9.78 (v94(constB65) <=> (~((~v95(constB65)) | (~v104(constB65))))),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7457, 7454, 770])).
% 14.59/9.78 tff(7459,plain,
% 14.59/9.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65))))))),
% 14.59/9.78 inference(rewrite,[status(thm)],[])).
% 14.59/9.78 tff(7460,plain,
% 14.59/9.78 (((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v96(constB65)) | (~v1(constB65)))))) <=> ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65))))))),
% 14.59/9.78 inference(rewrite,[status(thm)],[])).
% 14.59/9.78 tff(7461,plain,
% 14.59/9.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v96(constB65)) | (~v1(constB65))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65)))))))),
% 14.59/9.78 inference(monotonicity,[status(thm)],[7460])).
% 14.59/9.78 tff(7462,plain,
% 14.59/9.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v96(constB65)) | (~v1(constB65))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65))))))),
% 14.59/9.78 inference(transitivity,[status(thm)],[7461, 7459])).
% 14.59/9.78 tff(7463,plain,
% 14.59/9.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v96(constB65)) | (~v1(constB65))))))),
% 14.59/9.78 inference(quant_inst,[status(thm)],[])).
% 14.59/9.78 tff(7464,plain,
% 14.59/9.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65)))))),
% 14.59/9.78 inference(modus_ponens,[status(thm)],[7463, 7462])).
% 14.59/9.78 tff(7465,plain,
% 14.59/9.78 (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65))))),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7464, 7454, 790])).
% 14.59/9.78 tff(7466,plain,
% 14.59/9.78 ((~v1(constB65)) <=> (~v1(constB65))),
% 14.59/9.78 inference(rewrite,[status(thm)],[])).
% 14.59/9.78 tff(7467,axiom,(~v1(constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_65')).
% 14.59/9.78 tff(7468,plain,
% 14.59/9.78 (~v1(constB65)),
% 14.59/9.78 inference(modus_ponens,[status(thm)],[7467, 7466])).
% 14.59/9.78 tff(7469,plain,
% 14.59/9.78 (((~v1(constB65)) | (~v96(constB65))) | v1(constB65)),
% 14.59/9.78 inference(tautology,[status(thm)],[])).
% 14.59/9.78 tff(7470,plain,
% 14.59/9.78 ((~v1(constB65)) | (~v96(constB65))),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7469, 7468])).
% 14.59/9.78 tff(7471,plain,
% 14.59/9.78 ((~(v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65)))))) | (~v95(constB65)) | (~((~v1(constB65)) | (~v96(constB65))))),
% 14.59/9.78 inference(tautology,[status(thm)],[])).
% 14.59/9.78 tff(7472,plain,
% 14.59/9.78 ((~(v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65)))))) | (~v95(constB65))),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7471, 7470])).
% 14.59/9.78 tff(7473,plain,
% 14.59/9.78 (~v95(constB65)),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7472, 7465])).
% 14.59/9.78 tff(7474,plain,
% 14.59/9.78 (((~v95(constB65)) | (~v104(constB65))) | v95(constB65)),
% 14.59/9.78 inference(tautology,[status(thm)],[])).
% 14.59/9.78 tff(7475,plain,
% 14.59/9.78 ((~v95(constB65)) | (~v104(constB65))),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7474, 7473])).
% 14.59/9.78 tff(7476,plain,
% 14.59/9.78 ((~(v94(constB65) <=> (~((~v95(constB65)) | (~v104(constB65)))))) | (~v94(constB65)) | (~((~v95(constB65)) | (~v104(constB65))))),
% 14.59/9.78 inference(tautology,[status(thm)],[])).
% 14.59/9.78 tff(7477,plain,
% 14.59/9.78 (~v94(constB65)),
% 14.59/9.78 inference(unit_resolution,[status(thm)],[7476, 7475, 7458])).
% 14.59/9.78 tff(7478,plain,
% 14.59/9.78 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB65) | (~nextState(constB64, constB65)) | (~(((~v84(constB65, 1)) <=> v84(constB64, 1)) | ((~v84(constB65, 2)) <=> v84(constB64, 2)) | ((~v84(constB65, 0)) <=> v84(constB64, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB65) | (~nextState(constB64, constB65)) | (~(((~v84(constB65, 1)) <=> v84(constB64, 1)) | ((~v84(constB65, 2)) <=> v84(constB64, 2)) | ((~v84(constB65, 0)) <=> v84(constB64, 0)))))),
% 14.59/9.79 inference(rewrite,[status(thm)],[])).
% 14.59/9.79 tff(7479,plain,
% 14.59/9.79 ((v94(constB65) | (~nextState(constB64, constB65)) | (~(((~v84(constB65, 2)) <=> v84(constB64, 2)) | ((~v84(constB65, 1)) <=> v84(constB64, 1)) | ((~v84(constB65, 0)) <=> v84(constB64, 0))))) <=> (v94(constB65) | (~nextState(constB64, constB65)) | (~(((~v84(constB65, 1)) <=> v84(constB64, 1)) | ((~v84(constB65, 2)) <=> v84(constB64, 2)) | ((~v84(constB65, 0)) <=> v84(constB64, 0)))))),
% 14.59/9.79 inference(rewrite,[status(thm)],[])).
% 14.59/9.79 tff(7480,plain,
% 14.59/9.79 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB65) | (~nextState(constB64, constB65)) | (~(((~v84(constB65, 2)) <=> v84(constB64, 2)) | ((~v84(constB65, 1)) <=> v84(constB64, 1)) | ((~v84(constB65, 0)) <=> v84(constB64, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB65) | (~nextState(constB64, constB65)) | (~(((~v84(constB65, 1)) <=> v84(constB64, 1)) | ((~v84(constB65, 2)) <=> v84(constB64, 2)) | ((~v84(constB65, 0)) <=> v84(constB64, 0))))))),
% 14.59/9.79 inference(monotonicity,[status(thm)],[7479])).
% 14.59/9.79 tff(7481,plain,
% 14.59/9.79 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB65) | (~nextState(constB64, constB65)) | (~(((~v84(constB65, 2)) <=> v84(constB64, 2)) | ((~v84(constB65, 1)) <=> v84(constB64, 1)) | ((~v84(constB65, 0)) <=> v84(constB64, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB65) | (~nextState(constB64, constB65)) | (~(((~v84(constB65, 1)) <=> v84(constB64, 1)) | ((~v84(constB65, 2)) <=> v84(constB64, 2)) | ((~v84(constB65, 0)) <=> v84(constB64, 0)))))),
% 14.59/9.79 inference(transitivity,[status(thm)],[7480, 7478])).
% 14.59/9.79 tff(7482,plain,
% 14.59/9.79 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB65) | (~nextState(constB64, constB65)) | (~(((~v84(constB65, 2)) <=> v84(constB64, 2)) | ((~v84(constB65, 1)) <=> v84(constB64, 1)) | ((~v84(constB65, 0)) <=> v84(constB64, 0)))))),
% 14.59/9.79 inference(quant_inst,[status(thm)],[])).
% 14.59/9.79 tff(7483,plain,
% 14.59/9.79 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB65) | (~nextState(constB64, constB65)) | (~(((~v84(constB65, 1)) <=> v84(constB64, 1)) | ((~v84(constB65, 2)) <=> v84(constB64, 2)) | ((~v84(constB65, 0)) <=> v84(constB64, 0))))),
% 14.59/9.79 inference(modus_ponens,[status(thm)],[7482, 7481])).
% 14.59/9.79 tff(7484,plain,
% 14.59/9.79 (v94(constB65) | (~(((~v84(constB65, 1)) <=> v84(constB64, 1)) | ((~v84(constB65, 2)) <=> v84(constB64, 2)) | ((~v84(constB65, 0)) <=> v84(constB64, 0))))),
% 14.59/9.79 inference(unit_resolution,[status(thm)],[7483, 7454, 819])).
% 14.59/9.79 tff(7485,plain,
% 14.59/9.79 (~(((~v84(constB65, 1)) <=> v84(constB64, 1)) | ((~v84(constB65, 2)) <=> v84(constB64, 2)) | ((~v84(constB65, 0)) <=> v84(constB64, 0)))),
% 14.59/9.79 inference(unit_resolution,[status(thm)],[7484, 7477])).
% 14.59/9.79 tff(7486,plain,
% 14.59/9.79 ((((~v84(constB65, 1)) <=> v84(constB64, 1)) | ((~v84(constB65, 2)) <=> v84(constB64, 2)) | ((~v84(constB65, 0)) <=> v84(constB64, 0))) | (~((~v84(constB65, 2)) <=> v84(constB64, 2)))),
% 14.59/9.79 inference(tautology,[status(thm)],[])).
% 14.59/9.79 tff(7487,plain,
% 14.59/9.79 (~((~v84(constB65, 2)) <=> v84(constB64, 2))),
% 14.59/9.79 inference(unit_resolution,[status(thm)],[7486, 7485])).
% 14.59/9.79 tff(7488,plain,
% 14.59/9.79 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 14.59/9.79 inference(rewrite,[status(thm)],[])).
% 14.59/9.79 tff(7489,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_63')).
% 14.59/9.79 tff(7490,plain,
% 14.59/9.79 (nextState(constB63, constB64)),
% 14.59/9.79 inference(modus_ponens,[status(thm)],[7489, 7488])).
% 14.59/9.79 tff(7491,plain,
% 14.59/9.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB63, constB64)) | (~(((~v123(constB64, 2)) <=> v121(constB63, 2)) | ((~v123(constB64, 1)) <=> v121(constB63, 1)) | ((~v123(constB64, 0)) <=> v121(constB63, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB63, constB64)) | (~(((~v123(constB64, 2)) <=> v121(constB63, 2)) | ((~v123(constB64, 1)) <=> v121(constB63, 1)) | ((~v123(constB64, 0)) <=> v121(constB63, 0)))))),
% 14.59/9.79 inference(rewrite,[status(thm)],[])).
% 14.59/9.79 tff(7492,plain,
% 14.59/9.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB63, constB64)) | (~(((~v123(constB64, 2)) <=> v121(constB63, 2)) | ((~v123(constB64, 1)) <=> v121(constB63, 1)) | ((~v123(constB64, 0)) <=> v121(constB63, 0)))))),
% 14.59/9.79 inference(quant_inst,[status(thm)],[])).
% 14.59/9.79 tff(7493,plain,
% 14.59/9.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB63, constB64)) | (~(((~v123(constB64, 2)) <=> v121(constB63, 2)) | ((~v123(constB64, 1)) <=> v121(constB63, 1)) | ((~v123(constB64, 0)) <=> v121(constB63, 0))))),
% 14.59/9.79 inference(modus_ponens,[status(thm)],[7492, 7491])).
% 14.59/9.79 tff(7494,plain,
% 14.59/9.79 (~(((~v123(constB64, 2)) <=> v121(constB63, 2)) | ((~v123(constB64, 1)) <=> v121(constB63, 1)) | ((~v123(constB64, 0)) <=> v121(constB63, 0)))),
% 14.59/9.79 inference(unit_resolution,[status(thm)],[7493, 7490, 842])).
% 14.59/9.79 tff(7495,plain,
% 14.59/9.79 ((((~v123(constB64, 2)) <=> v121(constB63, 2)) | ((~v123(constB64, 1)) <=> v121(constB63, 1)) | ((~v123(constB64, 0)) <=> v121(constB63, 0))) | (~((~v123(constB64, 2)) <=> v121(constB63, 2)))),
% 14.59/9.79 inference(tautology,[status(thm)],[])).
% 14.59/9.79 tff(7496,plain,
% 14.59/9.79 (~((~v123(constB64, 2)) <=> v121(constB63, 2))),
% 14.59/9.79 inference(unit_resolution,[status(thm)],[7495, 7494])).
% 14.59/9.79 tff(7497,plain,
% 14.59/9.79 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB63) <=> v26(constB63))),
% 14.59/9.79 inference(quant_inst,[status(thm)],[])).
% 14.59/9.79 tff(7498,plain,
% 14.59/9.79 (v105(constB63) <=> v26(constB63)),
% 14.59/9.79 inference(unit_resolution,[status(thm)],[7497, 861])).
% 14.59/9.79 tff(7499,plain,
% 14.59/9.79 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB63))),
% 14.59/9.79 inference(quant_inst,[status(thm)],[])).
% 14.59/9.79 tff(7500,plain,
% 14.59/9.79 (~v26(constB63)),
% 14.59/9.79 inference(unit_resolution,[status(thm)],[7499, 873])).
% 14.59/9.79 tff(7501,plain,
% 14.59/9.79 ((~(v105(constB63) <=> v26(constB63))) | (~v105(constB63)) | v26(constB63)),
% 14.59/9.79 inference(tautology,[status(thm)],[])).
% 14.59/9.79 tff(7502,plain,
% 14.59/9.79 ((~(v105(constB63) <=> v26(constB63))) | (~v105(constB63))),
% 14.59/9.79 inference(unit_resolution,[status(thm)],[7501, 7500])).
% 14.59/9.79 tff(7503,plain,
% 14.59/9.79 (~v105(constB63)),
% 14.59/9.79 inference(unit_resolution,[status(thm)],[7502, 7498])).
% 14.59/9.79 tff(7504,plain,
% 14.59/9.79 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB63) | (~(((~v121(constB63, 2)) <=> v124(constB63, 2)) | ((~v121(constB63, 0)) <=> v124(constB63, 0)) | ((~v121(constB63, 1)) <=> v124(constB63, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB63) | (~(((~v121(constB63, 2)) <=> v124(constB63, 2)) | ((~v121(constB63, 0)) <=> v124(constB63, 0)) | ((~v121(constB63, 1)) <=> v124(constB63, 1)))))),
% 14.59/9.79 inference(rewrite,[status(thm)],[])).
% 14.59/9.79 tff(7505,plain,
% 14.59/9.79 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB63) | (~(((~v121(constB63, 2)) <=> v124(constB63, 2)) | ((~v121(constB63, 0)) <=> v124(constB63, 0)) | ((~v121(constB63, 1)) <=> v124(constB63, 1)))))),
% 14.59/9.79 inference(quant_inst,[status(thm)],[])).
% 14.59/9.79 tff(7506,plain,
% 14.59/9.79 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB63) | (~(((~v121(constB63, 2)) <=> v124(constB63, 2)) | ((~v121(constB63, 0)) <=> v124(constB63, 0)) | ((~v121(constB63, 1)) <=> v124(constB63, 1))))),
% 14.59/9.79 inference(modus_ponens,[status(thm)],[7505, 7504])).
% 14.59/9.79 tff(7507,plain,
% 14.59/9.79 (v105(constB63) | (~(((~v121(constB63, 2)) <=> v124(constB63, 2)) | ((~v121(constB63, 0)) <=> v124(constB63, 0)) | ((~v121(constB63, 1)) <=> v124(constB63, 1))))),
% 14.59/9.79 inference(unit_resolution,[status(thm)],[7506, 891])).
% 14.59/9.79 tff(7508,plain,
% 14.59/9.79 (~(((~v121(constB63, 2)) <=> v124(constB63, 2)) | ((~v121(constB63, 0)) <=> v124(constB63, 0)) | ((~v121(constB63, 1)) <=> v124(constB63, 1)))),
% 14.59/9.79 inference(unit_resolution,[status(thm)],[7507, 7503])).
% 14.59/9.79 tff(7509,plain,
% 14.59/9.79 ((((~v121(constB63, 2)) <=> v124(constB63, 2)) | ((~v121(constB63, 0)) <=> v124(constB63, 0)) | ((~v121(constB63, 1)) <=> v124(constB63, 1))) | (~((~v121(constB63, 2)) <=> v124(constB63, 2)))),
% 14.59/9.79 inference(tautology,[status(thm)],[])).
% 14.59/9.79 tff(7510,plain,
% 14.59/9.79 (~((~v121(constB63, 2)) <=> v124(constB63, 2))),
% 14.59/9.79 inference(unit_resolution,[status(thm)],[7509, 7508])).
% 14.59/9.79 tff(7511,plain,
% 14.59/9.79 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))))),
% 14.59/9.79 inference(rewrite,[status(thm)],[])).
% 14.59/9.79 tff(7512,plain,
% 14.59/9.79 ((v117(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | (~v84(constB63, 2))))) <=> (v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))))),
% 14.59/9.79 inference(rewrite,[status(thm)],[])).
% 14.59/9.79 tff(7513,plain,
% 14.59/9.79 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | (~v84(constB63, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))))),
% 14.59/9.79 inference(monotonicity,[status(thm)],[7512])).
% 14.59/9.79 tff(7514,plain,
% 14.59/9.79 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | (~v84(constB63, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))))),
% 14.59/9.79 inference(transitivity,[status(thm)],[7513, 7511])).
% 14.59/9.79 tff(7515,plain,
% 14.59/9.79 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | (~v84(constB63, 2)))))),
% 14.59/9.79 inference(quant_inst,[status(thm)],[])).
% 14.59/9.79 tff(7516,plain,
% 14.59/9.79 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))))),
% 14.59/9.79 inference(modus_ponens,[status(thm)],[7515, 7514])).
% 14.59/9.79 tff(7517,plain,
% 14.59/9.79 (v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))),
% 14.59/9.79 inference(unit_resolution,[status(thm)],[7516, 1199])).
% 14.59/9.79 tff(7518,plain,
% 14.59/9.79 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 14.59/9.79 inference(rewrite,[status(thm)],[])).
% 14.59/9.79 tff(7519,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_62')).
% 14.59/9.79 tff(7520,plain,
% 14.59/9.79 (nextState(constB62, constB63)),
% 14.59/9.79 inference(modus_ponens,[status(thm)],[7519, 7518])).
% 14.59/9.79 tff(7521,plain,
% 14.59/9.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB62, constB63)) | (v94(constB63) <=> (~((~v95(constB63)) | (~v104(constB63))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB62, constB63)) | (v94(constB63) <=> (~((~v95(constB63)) | (~v104(constB63))))))),
% 14.59/9.79 inference(rewrite,[status(thm)],[])).
% 14.59/9.79 tff(7522,plain,
% 14.59/9.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB62, constB63)) | (v94(constB63) <=> (~((~v95(constB63)) | (~v104(constB63))))))),
% 14.59/9.79 inference(quant_inst,[status(thm)],[])).
% 14.59/9.79 tff(7523,plain,
% 14.59/9.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB62, constB63)) | (v94(constB63) <=> (~((~v95(constB63)) | (~v104(constB63)))))),
% 14.59/9.79 inference(modus_ponens,[status(thm)],[7522, 7521])).
% 14.59/9.79 tff(7524,plain,
% 14.59/9.79 (v94(constB63) <=> (~((~v95(constB63)) | (~v104(constB63))))),
% 14.59/9.79 inference(unit_resolution,[status(thm)],[7523, 7520, 770])).
% 14.59/9.79 tff(7525,plain,
% 14.59/9.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63))))))),
% 14.59/9.79 inference(rewrite,[status(thm)],[])).
% 14.59/9.79 tff(7526,plain,
% 14.59/9.79 (((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v96(constB63)) | (~v1(constB63)))))) <=> ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63))))))),
% 14.59/9.79 inference(rewrite,[status(thm)],[])).
% 14.59/9.79 tff(7527,plain,
% 14.59/9.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v96(constB63)) | (~v1(constB63))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63)))))))),
% 14.59/9.79 inference(monotonicity,[status(thm)],[7526])).
% 14.59/9.79 tff(7528,plain,
% 14.59/9.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v96(constB63)) | (~v1(constB63))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63))))))),
% 14.59/9.80 inference(transitivity,[status(thm)],[7527, 7525])).
% 14.59/9.80 tff(7529,plain,
% 14.59/9.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v96(constB63)) | (~v1(constB63))))))),
% 14.59/9.80 inference(quant_inst,[status(thm)],[])).
% 14.59/9.80 tff(7530,plain,
% 14.59/9.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63)))))),
% 14.59/9.80 inference(modus_ponens,[status(thm)],[7529, 7528])).
% 14.59/9.80 tff(7531,plain,
% 14.59/9.80 (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63))))),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7530, 7520, 790])).
% 14.59/9.80 tff(7532,plain,
% 14.59/9.80 ((~v1(constB63)) <=> (~v1(constB63))),
% 14.59/9.80 inference(rewrite,[status(thm)],[])).
% 14.59/9.80 tff(7533,axiom,(~v1(constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_63')).
% 14.59/9.80 tff(7534,plain,
% 14.59/9.80 (~v1(constB63)),
% 14.59/9.80 inference(modus_ponens,[status(thm)],[7533, 7532])).
% 14.59/9.80 tff(7535,plain,
% 14.59/9.80 (((~v1(constB63)) | (~v96(constB63))) | v1(constB63)),
% 14.59/9.80 inference(tautology,[status(thm)],[])).
% 14.59/9.80 tff(7536,plain,
% 14.59/9.80 ((~v1(constB63)) | (~v96(constB63))),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7535, 7534])).
% 14.59/9.80 tff(7537,plain,
% 14.59/9.80 ((~(v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63)))))) | (~v95(constB63)) | (~((~v1(constB63)) | (~v96(constB63))))),
% 14.59/9.80 inference(tautology,[status(thm)],[])).
% 14.59/9.80 tff(7538,plain,
% 14.59/9.80 ((~(v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63)))))) | (~v95(constB63))),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7537, 7536])).
% 14.59/9.80 tff(7539,plain,
% 14.59/9.80 (~v95(constB63)),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7538, 7531])).
% 14.59/9.80 tff(7540,plain,
% 14.59/9.80 (((~v95(constB63)) | (~v104(constB63))) | v95(constB63)),
% 14.59/9.80 inference(tautology,[status(thm)],[])).
% 14.59/9.80 tff(7541,plain,
% 14.59/9.80 ((~v95(constB63)) | (~v104(constB63))),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7540, 7539])).
% 14.59/9.80 tff(7542,plain,
% 14.59/9.80 ((~(v94(constB63) <=> (~((~v95(constB63)) | (~v104(constB63)))))) | (~v94(constB63)) | (~((~v95(constB63)) | (~v104(constB63))))),
% 14.59/9.80 inference(tautology,[status(thm)],[])).
% 14.59/9.80 tff(7543,plain,
% 14.59/9.80 (~v94(constB63)),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7542, 7541, 7524])).
% 14.59/9.80 tff(7544,plain,
% 14.59/9.80 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB63) | (~nextState(constB62, constB63)) | (~(((~v84(constB63, 1)) <=> v84(constB62, 1)) | ((~v84(constB63, 2)) <=> v84(constB62, 2)) | ((~v84(constB63, 0)) <=> v84(constB62, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB63) | (~nextState(constB62, constB63)) | (~(((~v84(constB63, 1)) <=> v84(constB62, 1)) | ((~v84(constB63, 2)) <=> v84(constB62, 2)) | ((~v84(constB63, 0)) <=> v84(constB62, 0)))))),
% 14.59/9.80 inference(rewrite,[status(thm)],[])).
% 14.59/9.80 tff(7545,plain,
% 14.59/9.80 ((v94(constB63) | (~nextState(constB62, constB63)) | (~(((~v84(constB63, 2)) <=> v84(constB62, 2)) | ((~v84(constB63, 1)) <=> v84(constB62, 1)) | ((~v84(constB63, 0)) <=> v84(constB62, 0))))) <=> (v94(constB63) | (~nextState(constB62, constB63)) | (~(((~v84(constB63, 1)) <=> v84(constB62, 1)) | ((~v84(constB63, 2)) <=> v84(constB62, 2)) | ((~v84(constB63, 0)) <=> v84(constB62, 0)))))),
% 14.59/9.80 inference(rewrite,[status(thm)],[])).
% 14.59/9.80 tff(7546,plain,
% 14.59/9.80 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB63) | (~nextState(constB62, constB63)) | (~(((~v84(constB63, 2)) <=> v84(constB62, 2)) | ((~v84(constB63, 1)) <=> v84(constB62, 1)) | ((~v84(constB63, 0)) <=> v84(constB62, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB63) | (~nextState(constB62, constB63)) | (~(((~v84(constB63, 1)) <=> v84(constB62, 1)) | ((~v84(constB63, 2)) <=> v84(constB62, 2)) | ((~v84(constB63, 0)) <=> v84(constB62, 0))))))),
% 14.59/9.80 inference(monotonicity,[status(thm)],[7545])).
% 14.59/9.80 tff(7547,plain,
% 14.59/9.80 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB63) | (~nextState(constB62, constB63)) | (~(((~v84(constB63, 2)) <=> v84(constB62, 2)) | ((~v84(constB63, 1)) <=> v84(constB62, 1)) | ((~v84(constB63, 0)) <=> v84(constB62, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB63) | (~nextState(constB62, constB63)) | (~(((~v84(constB63, 1)) <=> v84(constB62, 1)) | ((~v84(constB63, 2)) <=> v84(constB62, 2)) | ((~v84(constB63, 0)) <=> v84(constB62, 0)))))),
% 14.59/9.80 inference(transitivity,[status(thm)],[7546, 7544])).
% 14.59/9.80 tff(7548,plain,
% 14.59/9.80 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB63) | (~nextState(constB62, constB63)) | (~(((~v84(constB63, 2)) <=> v84(constB62, 2)) | ((~v84(constB63, 1)) <=> v84(constB62, 1)) | ((~v84(constB63, 0)) <=> v84(constB62, 0)))))),
% 14.59/9.80 inference(quant_inst,[status(thm)],[])).
% 14.59/9.80 tff(7549,plain,
% 14.59/9.80 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB63) | (~nextState(constB62, constB63)) | (~(((~v84(constB63, 1)) <=> v84(constB62, 1)) | ((~v84(constB63, 2)) <=> v84(constB62, 2)) | ((~v84(constB63, 0)) <=> v84(constB62, 0))))),
% 14.59/9.80 inference(modus_ponens,[status(thm)],[7548, 7547])).
% 14.59/9.80 tff(7550,plain,
% 14.59/9.80 (v94(constB63) | (~(((~v84(constB63, 1)) <=> v84(constB62, 1)) | ((~v84(constB63, 2)) <=> v84(constB62, 2)) | ((~v84(constB63, 0)) <=> v84(constB62, 0))))),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7549, 7520, 819])).
% 14.59/9.80 tff(7551,plain,
% 14.59/9.80 (~(((~v84(constB63, 1)) <=> v84(constB62, 1)) | ((~v84(constB63, 2)) <=> v84(constB62, 2)) | ((~v84(constB63, 0)) <=> v84(constB62, 0)))),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7550, 7543])).
% 14.59/9.80 tff(7552,plain,
% 14.59/9.80 ((((~v84(constB63, 1)) <=> v84(constB62, 1)) | ((~v84(constB63, 2)) <=> v84(constB62, 2)) | ((~v84(constB63, 0)) <=> v84(constB62, 0))) | (~((~v84(constB63, 2)) <=> v84(constB62, 2)))),
% 14.59/9.80 inference(tautology,[status(thm)],[])).
% 14.59/9.80 tff(7553,plain,
% 14.59/9.80 (~((~v84(constB63, 2)) <=> v84(constB62, 2))),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7552, 7551])).
% 14.59/9.80 tff(7554,plain,
% 14.59/9.80 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 14.59/9.80 inference(rewrite,[status(thm)],[])).
% 14.59/9.80 tff(7555,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_61')).
% 14.59/9.80 tff(7556,plain,
% 14.59/9.80 (nextState(constB61, constB62)),
% 14.59/9.80 inference(modus_ponens,[status(thm)],[7555, 7554])).
% 14.59/9.80 tff(7557,plain,
% 14.59/9.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB61, constB62)) | (~(((~v123(constB62, 2)) <=> v121(constB61, 2)) | ((~v123(constB62, 1)) <=> v121(constB61, 1)) | ((~v123(constB62, 0)) <=> v121(constB61, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB61, constB62)) | (~(((~v123(constB62, 2)) <=> v121(constB61, 2)) | ((~v123(constB62, 1)) <=> v121(constB61, 1)) | ((~v123(constB62, 0)) <=> v121(constB61, 0)))))),
% 14.59/9.80 inference(rewrite,[status(thm)],[])).
% 14.59/9.80 tff(7558,plain,
% 14.59/9.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB61, constB62)) | (~(((~v123(constB62, 2)) <=> v121(constB61, 2)) | ((~v123(constB62, 1)) <=> v121(constB61, 1)) | ((~v123(constB62, 0)) <=> v121(constB61, 0)))))),
% 14.59/9.80 inference(quant_inst,[status(thm)],[])).
% 14.59/9.80 tff(7559,plain,
% 14.59/9.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB61, constB62)) | (~(((~v123(constB62, 2)) <=> v121(constB61, 2)) | ((~v123(constB62, 1)) <=> v121(constB61, 1)) | ((~v123(constB62, 0)) <=> v121(constB61, 0))))),
% 14.59/9.80 inference(modus_ponens,[status(thm)],[7558, 7557])).
% 14.59/9.80 tff(7560,plain,
% 14.59/9.80 (~(((~v123(constB62, 2)) <=> v121(constB61, 2)) | ((~v123(constB62, 1)) <=> v121(constB61, 1)) | ((~v123(constB62, 0)) <=> v121(constB61, 0)))),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7559, 7556, 842])).
% 14.59/9.80 tff(7561,plain,
% 14.59/9.80 ((((~v123(constB62, 2)) <=> v121(constB61, 2)) | ((~v123(constB62, 1)) <=> v121(constB61, 1)) | ((~v123(constB62, 0)) <=> v121(constB61, 0))) | (~((~v123(constB62, 2)) <=> v121(constB61, 2)))),
% 14.59/9.80 inference(tautology,[status(thm)],[])).
% 14.59/9.80 tff(7562,plain,
% 14.59/9.80 (~((~v123(constB62, 2)) <=> v121(constB61, 2))),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7561, 7560])).
% 14.59/9.80 tff(7563,plain,
% 14.59/9.80 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB61) <=> v26(constB61))),
% 14.59/9.80 inference(quant_inst,[status(thm)],[])).
% 14.59/9.80 tff(7564,plain,
% 14.59/9.80 (v105(constB61) <=> v26(constB61)),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7563, 861])).
% 14.59/9.80 tff(7565,plain,
% 14.59/9.80 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB61))),
% 14.59/9.80 inference(quant_inst,[status(thm)],[])).
% 14.59/9.80 tff(7566,plain,
% 14.59/9.80 (~v26(constB61)),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7565, 873])).
% 14.59/9.80 tff(7567,plain,
% 14.59/9.80 ((~(v105(constB61) <=> v26(constB61))) | (~v105(constB61)) | v26(constB61)),
% 14.59/9.80 inference(tautology,[status(thm)],[])).
% 14.59/9.80 tff(7568,plain,
% 14.59/9.80 ((~(v105(constB61) <=> v26(constB61))) | (~v105(constB61))),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7567, 7566])).
% 14.59/9.80 tff(7569,plain,
% 14.59/9.80 (~v105(constB61)),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7568, 7564])).
% 14.59/9.80 tff(7570,plain,
% 14.59/9.80 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB61) | (~(((~v121(constB61, 2)) <=> v124(constB61, 2)) | ((~v121(constB61, 0)) <=> v124(constB61, 0)) | ((~v121(constB61, 1)) <=> v124(constB61, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB61) | (~(((~v121(constB61, 2)) <=> v124(constB61, 2)) | ((~v121(constB61, 0)) <=> v124(constB61, 0)) | ((~v121(constB61, 1)) <=> v124(constB61, 1)))))),
% 14.59/9.80 inference(rewrite,[status(thm)],[])).
% 14.59/9.80 tff(7571,plain,
% 14.59/9.80 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB61) | (~(((~v121(constB61, 2)) <=> v124(constB61, 2)) | ((~v121(constB61, 0)) <=> v124(constB61, 0)) | ((~v121(constB61, 1)) <=> v124(constB61, 1)))))),
% 14.59/9.80 inference(quant_inst,[status(thm)],[])).
% 14.59/9.80 tff(7572,plain,
% 14.59/9.80 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB61) | (~(((~v121(constB61, 2)) <=> v124(constB61, 2)) | ((~v121(constB61, 0)) <=> v124(constB61, 0)) | ((~v121(constB61, 1)) <=> v124(constB61, 1))))),
% 14.59/9.80 inference(modus_ponens,[status(thm)],[7571, 7570])).
% 14.59/9.80 tff(7573,plain,
% 14.59/9.80 (v105(constB61) | (~(((~v121(constB61, 2)) <=> v124(constB61, 2)) | ((~v121(constB61, 0)) <=> v124(constB61, 0)) | ((~v121(constB61, 1)) <=> v124(constB61, 1))))),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7572, 891])).
% 14.59/9.80 tff(7574,plain,
% 14.59/9.80 (~(((~v121(constB61, 2)) <=> v124(constB61, 2)) | ((~v121(constB61, 0)) <=> v124(constB61, 0)) | ((~v121(constB61, 1)) <=> v124(constB61, 1)))),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7573, 7569])).
% 14.59/9.80 tff(7575,plain,
% 14.59/9.80 ((((~v121(constB61, 2)) <=> v124(constB61, 2)) | ((~v121(constB61, 0)) <=> v124(constB61, 0)) | ((~v121(constB61, 1)) <=> v124(constB61, 1))) | (~((~v121(constB61, 2)) <=> v124(constB61, 2)))),
% 14.59/9.80 inference(tautology,[status(thm)],[])).
% 14.59/9.80 tff(7576,plain,
% 14.59/9.80 (~((~v121(constB61, 2)) <=> v124(constB61, 2))),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7575, 7574])).
% 14.59/9.80 tff(7577,plain,
% 14.59/9.80 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB61) <=> (~(v84(constB61, 2) | (~v84(constB61, 1)) | (~v84(constB61, 0)))))),
% 14.59/9.80 inference(quant_inst,[status(thm)],[])).
% 14.59/9.80 tff(7578,plain,
% 14.59/9.80 (v116(constB61) <=> (~(v84(constB61, 2) | (~v84(constB61, 1)) | (~v84(constB61, 0))))),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7577, 911])).
% 14.59/9.80 tff(7579,plain,
% 14.59/9.80 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 14.59/9.80 inference(rewrite,[status(thm)],[])).
% 14.59/9.80 tff(7580,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_60')).
% 14.59/9.80 tff(7581,plain,
% 14.59/9.80 (nextState(constB60, constB61)),
% 14.59/9.80 inference(modus_ponens,[status(thm)],[7580, 7579])).
% 14.59/9.80 tff(7582,plain,
% 14.59/9.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB60, constB61)) | (v94(constB61) <=> (~((~v95(constB61)) | (~v104(constB61))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB60, constB61)) | (v94(constB61) <=> (~((~v95(constB61)) | (~v104(constB61))))))),
% 14.59/9.80 inference(rewrite,[status(thm)],[])).
% 14.59/9.80 tff(7583,plain,
% 14.59/9.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB60, constB61)) | (v94(constB61) <=> (~((~v95(constB61)) | (~v104(constB61))))))),
% 14.59/9.80 inference(quant_inst,[status(thm)],[])).
% 14.59/9.80 tff(7584,plain,
% 14.59/9.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB60, constB61)) | (v94(constB61) <=> (~((~v95(constB61)) | (~v104(constB61)))))),
% 14.59/9.80 inference(modus_ponens,[status(thm)],[7583, 7582])).
% 14.59/9.80 tff(7585,plain,
% 14.59/9.80 (v94(constB61) <=> (~((~v95(constB61)) | (~v104(constB61))))),
% 14.59/9.80 inference(unit_resolution,[status(thm)],[7584, 7581, 770])).
% 14.59/9.80 tff(7586,plain,
% 14.59/9.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61))))))),
% 14.59/9.80 inference(rewrite,[status(thm)],[])).
% 14.59/9.80 tff(7587,plain,
% 14.59/9.80 (((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v96(constB61)) | (~v1(constB61)))))) <=> ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61))))))),
% 14.59/9.81 inference(rewrite,[status(thm)],[])).
% 14.59/9.81 tff(7588,plain,
% 14.59/9.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v96(constB61)) | (~v1(constB61))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61)))))))),
% 14.59/9.81 inference(monotonicity,[status(thm)],[7587])).
% 14.59/9.81 tff(7589,plain,
% 14.59/9.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v96(constB61)) | (~v1(constB61))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61))))))),
% 14.59/9.81 inference(transitivity,[status(thm)],[7588, 7586])).
% 14.59/9.81 tff(7590,plain,
% 14.59/9.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v96(constB61)) | (~v1(constB61))))))),
% 14.59/9.81 inference(quant_inst,[status(thm)],[])).
% 14.59/9.81 tff(7591,plain,
% 14.59/9.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61)))))),
% 14.59/9.81 inference(modus_ponens,[status(thm)],[7590, 7589])).
% 14.59/9.81 tff(7592,plain,
% 14.59/9.81 (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61))))),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7591, 7581, 790])).
% 14.59/9.81 tff(7593,plain,
% 14.59/9.81 ((~v1(constB61)) <=> (~v1(constB61))),
% 14.59/9.81 inference(rewrite,[status(thm)],[])).
% 14.59/9.81 tff(7594,axiom,(~v1(constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_61')).
% 14.59/9.81 tff(7595,plain,
% 14.59/9.81 (~v1(constB61)),
% 14.59/9.81 inference(modus_ponens,[status(thm)],[7594, 7593])).
% 14.59/9.81 tff(7596,plain,
% 14.59/9.81 (((~v1(constB61)) | (~v96(constB61))) | v1(constB61)),
% 14.59/9.81 inference(tautology,[status(thm)],[])).
% 14.59/9.81 tff(7597,plain,
% 14.59/9.81 ((~v1(constB61)) | (~v96(constB61))),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7596, 7595])).
% 14.59/9.81 tff(7598,plain,
% 14.59/9.81 ((~(v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61)))))) | (~v95(constB61)) | (~((~v1(constB61)) | (~v96(constB61))))),
% 14.59/9.81 inference(tautology,[status(thm)],[])).
% 14.59/9.81 tff(7599,plain,
% 14.59/9.81 ((~(v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61)))))) | (~v95(constB61))),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7598, 7597])).
% 14.59/9.81 tff(7600,plain,
% 14.59/9.81 (~v95(constB61)),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7599, 7592])).
% 14.59/9.81 tff(7601,plain,
% 14.59/9.81 (((~v95(constB61)) | (~v104(constB61))) | v95(constB61)),
% 14.59/9.81 inference(tautology,[status(thm)],[])).
% 14.59/9.81 tff(7602,plain,
% 14.59/9.81 ((~v95(constB61)) | (~v104(constB61))),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7601, 7600])).
% 14.59/9.81 tff(7603,plain,
% 14.59/9.81 ((~(v94(constB61) <=> (~((~v95(constB61)) | (~v104(constB61)))))) | (~v94(constB61)) | (~((~v95(constB61)) | (~v104(constB61))))),
% 14.59/9.81 inference(tautology,[status(thm)],[])).
% 14.59/9.81 tff(7604,plain,
% 14.59/9.81 (~v94(constB61)),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7603, 7602, 7585])).
% 14.59/9.81 tff(7605,plain,
% 14.59/9.81 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB61) | (~nextState(constB60, constB61)) | (~(((~v84(constB61, 1)) <=> v84(constB60, 1)) | ((~v84(constB61, 2)) <=> v84(constB60, 2)) | ((~v84(constB61, 0)) <=> v84(constB60, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB61) | (~nextState(constB60, constB61)) | (~(((~v84(constB61, 1)) <=> v84(constB60, 1)) | ((~v84(constB61, 2)) <=> v84(constB60, 2)) | ((~v84(constB61, 0)) <=> v84(constB60, 0)))))),
% 14.59/9.81 inference(rewrite,[status(thm)],[])).
% 14.59/9.81 tff(7606,plain,
% 14.59/9.81 ((v94(constB61) | (~nextState(constB60, constB61)) | (~(((~v84(constB61, 2)) <=> v84(constB60, 2)) | ((~v84(constB61, 1)) <=> v84(constB60, 1)) | ((~v84(constB61, 0)) <=> v84(constB60, 0))))) <=> (v94(constB61) | (~nextState(constB60, constB61)) | (~(((~v84(constB61, 1)) <=> v84(constB60, 1)) | ((~v84(constB61, 2)) <=> v84(constB60, 2)) | ((~v84(constB61, 0)) <=> v84(constB60, 0)))))),
% 14.59/9.81 inference(rewrite,[status(thm)],[])).
% 14.59/9.81 tff(7607,plain,
% 14.59/9.81 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB61) | (~nextState(constB60, constB61)) | (~(((~v84(constB61, 2)) <=> v84(constB60, 2)) | ((~v84(constB61, 1)) <=> v84(constB60, 1)) | ((~v84(constB61, 0)) <=> v84(constB60, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB61) | (~nextState(constB60, constB61)) | (~(((~v84(constB61, 1)) <=> v84(constB60, 1)) | ((~v84(constB61, 2)) <=> v84(constB60, 2)) | ((~v84(constB61, 0)) <=> v84(constB60, 0))))))),
% 14.59/9.81 inference(monotonicity,[status(thm)],[7606])).
% 14.59/9.81 tff(7608,plain,
% 14.59/9.81 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB61) | (~nextState(constB60, constB61)) | (~(((~v84(constB61, 2)) <=> v84(constB60, 2)) | ((~v84(constB61, 1)) <=> v84(constB60, 1)) | ((~v84(constB61, 0)) <=> v84(constB60, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB61) | (~nextState(constB60, constB61)) | (~(((~v84(constB61, 1)) <=> v84(constB60, 1)) | ((~v84(constB61, 2)) <=> v84(constB60, 2)) | ((~v84(constB61, 0)) <=> v84(constB60, 0)))))),
% 14.59/9.81 inference(transitivity,[status(thm)],[7607, 7605])).
% 14.59/9.81 tff(7609,plain,
% 14.59/9.81 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB61) | (~nextState(constB60, constB61)) | (~(((~v84(constB61, 2)) <=> v84(constB60, 2)) | ((~v84(constB61, 1)) <=> v84(constB60, 1)) | ((~v84(constB61, 0)) <=> v84(constB60, 0)))))),
% 14.59/9.81 inference(quant_inst,[status(thm)],[])).
% 14.59/9.81 tff(7610,plain,
% 14.59/9.81 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB61) | (~nextState(constB60, constB61)) | (~(((~v84(constB61, 1)) <=> v84(constB60, 1)) | ((~v84(constB61, 2)) <=> v84(constB60, 2)) | ((~v84(constB61, 0)) <=> v84(constB60, 0))))),
% 14.59/9.81 inference(modus_ponens,[status(thm)],[7609, 7608])).
% 14.59/9.81 tff(7611,plain,
% 14.59/9.81 (v94(constB61) | (~(((~v84(constB61, 1)) <=> v84(constB60, 1)) | ((~v84(constB61, 2)) <=> v84(constB60, 2)) | ((~v84(constB61, 0)) <=> v84(constB60, 0))))),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7610, 7581, 819])).
% 14.59/9.81 tff(7612,plain,
% 14.59/9.81 (~(((~v84(constB61, 1)) <=> v84(constB60, 1)) | ((~v84(constB61, 2)) <=> v84(constB60, 2)) | ((~v84(constB61, 0)) <=> v84(constB60, 0)))),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7611, 7604])).
% 14.59/9.81 tff(7613,plain,
% 14.59/9.81 ((((~v84(constB61, 1)) <=> v84(constB60, 1)) | ((~v84(constB61, 2)) <=> v84(constB60, 2)) | ((~v84(constB61, 0)) <=> v84(constB60, 0))) | (~((~v84(constB61, 2)) <=> v84(constB60, 2)))),
% 14.59/9.81 inference(tautology,[status(thm)],[])).
% 14.59/9.81 tff(7614,plain,
% 14.59/9.81 (~((~v84(constB61, 2)) <=> v84(constB60, 2))),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7613, 7612])).
% 14.59/9.81 tff(7615,plain,
% 14.59/9.81 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 14.59/9.81 inference(rewrite,[status(thm)],[])).
% 14.59/9.81 tff(7616,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_59')).
% 14.59/9.81 tff(7617,plain,
% 14.59/9.81 (nextState(constB59, constB60)),
% 14.59/9.81 inference(modus_ponens,[status(thm)],[7616, 7615])).
% 14.59/9.81 tff(7618,plain,
% 14.59/9.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB59, constB60)) | (~(((~v123(constB60, 2)) <=> v121(constB59, 2)) | ((~v123(constB60, 1)) <=> v121(constB59, 1)) | ((~v123(constB60, 0)) <=> v121(constB59, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB59, constB60)) | (~(((~v123(constB60, 2)) <=> v121(constB59, 2)) | ((~v123(constB60, 1)) <=> v121(constB59, 1)) | ((~v123(constB60, 0)) <=> v121(constB59, 0)))))),
% 14.59/9.81 inference(rewrite,[status(thm)],[])).
% 14.59/9.81 tff(7619,plain,
% 14.59/9.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB59, constB60)) | (~(((~v123(constB60, 2)) <=> v121(constB59, 2)) | ((~v123(constB60, 1)) <=> v121(constB59, 1)) | ((~v123(constB60, 0)) <=> v121(constB59, 0)))))),
% 14.59/9.81 inference(quant_inst,[status(thm)],[])).
% 14.59/9.81 tff(7620,plain,
% 14.59/9.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB59, constB60)) | (~(((~v123(constB60, 2)) <=> v121(constB59, 2)) | ((~v123(constB60, 1)) <=> v121(constB59, 1)) | ((~v123(constB60, 0)) <=> v121(constB59, 0))))),
% 14.59/9.81 inference(modus_ponens,[status(thm)],[7619, 7618])).
% 14.59/9.81 tff(7621,plain,
% 14.59/9.81 (~(((~v123(constB60, 2)) <=> v121(constB59, 2)) | ((~v123(constB60, 1)) <=> v121(constB59, 1)) | ((~v123(constB60, 0)) <=> v121(constB59, 0)))),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7620, 7617, 842])).
% 14.59/9.81 tff(7622,plain,
% 14.59/9.81 ((((~v123(constB60, 2)) <=> v121(constB59, 2)) | ((~v123(constB60, 1)) <=> v121(constB59, 1)) | ((~v123(constB60, 0)) <=> v121(constB59, 0))) | (~((~v123(constB60, 2)) <=> v121(constB59, 2)))),
% 14.59/9.81 inference(tautology,[status(thm)],[])).
% 14.59/9.81 tff(7623,plain,
% 14.59/9.81 (~((~v123(constB60, 2)) <=> v121(constB59, 2))),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7622, 7621])).
% 14.59/9.81 tff(7624,plain,
% 14.59/9.81 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB59) <=> v26(constB59))),
% 14.59/9.81 inference(quant_inst,[status(thm)],[])).
% 14.59/9.81 tff(7625,plain,
% 14.59/9.81 (v105(constB59) <=> v26(constB59)),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7624, 861])).
% 14.59/9.81 tff(7626,plain,
% 14.59/9.81 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB59))),
% 14.59/9.81 inference(quant_inst,[status(thm)],[])).
% 14.59/9.81 tff(7627,plain,
% 14.59/9.81 (~v26(constB59)),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7626, 873])).
% 14.59/9.81 tff(7628,plain,
% 14.59/9.81 ((~(v105(constB59) <=> v26(constB59))) | (~v105(constB59)) | v26(constB59)),
% 14.59/9.81 inference(tautology,[status(thm)],[])).
% 14.59/9.81 tff(7629,plain,
% 14.59/9.81 ((~(v105(constB59) <=> v26(constB59))) | (~v105(constB59))),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7628, 7627])).
% 14.59/9.81 tff(7630,plain,
% 14.59/9.81 (~v105(constB59)),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7629, 7625])).
% 14.59/9.81 tff(7631,plain,
% 14.59/9.81 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB59) | (~(((~v121(constB59, 2)) <=> v124(constB59, 2)) | ((~v121(constB59, 0)) <=> v124(constB59, 0)) | ((~v121(constB59, 1)) <=> v124(constB59, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB59) | (~(((~v121(constB59, 2)) <=> v124(constB59, 2)) | ((~v121(constB59, 0)) <=> v124(constB59, 0)) | ((~v121(constB59, 1)) <=> v124(constB59, 1)))))),
% 14.59/9.81 inference(rewrite,[status(thm)],[])).
% 14.59/9.81 tff(7632,plain,
% 14.59/9.81 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB59) | (~(((~v121(constB59, 2)) <=> v124(constB59, 2)) | ((~v121(constB59, 0)) <=> v124(constB59, 0)) | ((~v121(constB59, 1)) <=> v124(constB59, 1)))))),
% 14.59/9.81 inference(quant_inst,[status(thm)],[])).
% 14.59/9.81 tff(7633,plain,
% 14.59/9.81 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB59) | (~(((~v121(constB59, 2)) <=> v124(constB59, 2)) | ((~v121(constB59, 0)) <=> v124(constB59, 0)) | ((~v121(constB59, 1)) <=> v124(constB59, 1))))),
% 14.59/9.81 inference(modus_ponens,[status(thm)],[7632, 7631])).
% 14.59/9.81 tff(7634,plain,
% 14.59/9.81 (v105(constB59) | (~(((~v121(constB59, 2)) <=> v124(constB59, 2)) | ((~v121(constB59, 0)) <=> v124(constB59, 0)) | ((~v121(constB59, 1)) <=> v124(constB59, 1))))),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7633, 891])).
% 14.59/9.81 tff(7635,plain,
% 14.59/9.81 (~(((~v121(constB59, 2)) <=> v124(constB59, 2)) | ((~v121(constB59, 0)) <=> v124(constB59, 0)) | ((~v121(constB59, 1)) <=> v124(constB59, 1)))),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7634, 7630])).
% 14.59/9.81 tff(7636,plain,
% 14.59/9.81 ((((~v121(constB59, 2)) <=> v124(constB59, 2)) | ((~v121(constB59, 0)) <=> v124(constB59, 0)) | ((~v121(constB59, 1)) <=> v124(constB59, 1))) | (~((~v121(constB59, 2)) <=> v124(constB59, 2)))),
% 14.59/9.81 inference(tautology,[status(thm)],[])).
% 14.59/9.81 tff(7637,plain,
% 14.59/9.81 (~((~v121(constB59, 2)) <=> v124(constB59, 2))),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7636, 7635])).
% 14.59/9.81 tff(7638,plain,
% 14.59/9.81 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 2) | v84(constB59, 0) | (~v84(constB59, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 2) | v84(constB59, 0) | (~v84(constB59, 1))))))),
% 14.59/9.81 inference(rewrite,[status(thm)],[])).
% 14.59/9.81 tff(7639,plain,
% 14.59/9.81 ((v115(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 2) | (~v84(constB59, 1))))) <=> (v115(constB59) <=> (~(v84(constB59, 2) | v84(constB59, 0) | (~v84(constB59, 1)))))),
% 14.59/9.81 inference(rewrite,[status(thm)],[])).
% 14.59/9.81 tff(7640,plain,
% 14.59/9.81 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 2) | (~v84(constB59, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 2) | v84(constB59, 0) | (~v84(constB59, 1))))))),
% 14.59/9.81 inference(monotonicity,[status(thm)],[7639])).
% 14.59/9.81 tff(7641,plain,
% 14.59/9.81 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 2) | (~v84(constB59, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 2) | v84(constB59, 0) | (~v84(constB59, 1))))))),
% 14.59/9.81 inference(transitivity,[status(thm)],[7640, 7638])).
% 14.59/9.81 tff(7642,plain,
% 14.59/9.81 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 0) | v84(constB59, 2) | (~v84(constB59, 1)))))),
% 14.59/9.81 inference(quant_inst,[status(thm)],[])).
% 14.59/9.81 tff(7643,plain,
% 14.59/9.81 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB59) <=> (~(v84(constB59, 2) | v84(constB59, 0) | (~v84(constB59, 1)))))),
% 14.59/9.81 inference(modus_ponens,[status(thm)],[7642, 7641])).
% 14.59/9.81 tff(7644,plain,
% 14.59/9.81 (v115(constB59) <=> (~(v84(constB59, 2) | v84(constB59, 0) | (~v84(constB59, 1))))),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7643, 985])).
% 14.59/9.81 tff(7645,plain,
% 14.59/9.81 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 14.59/9.81 inference(rewrite,[status(thm)],[])).
% 14.59/9.81 tff(7646,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_58')).
% 14.59/9.81 tff(7647,plain,
% 14.59/9.81 (nextState(constB58, constB59)),
% 14.59/9.81 inference(modus_ponens,[status(thm)],[7646, 7645])).
% 14.59/9.81 tff(7648,plain,
% 14.59/9.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB58, constB59)) | (v94(constB59) <=> (~((~v95(constB59)) | (~v104(constB59))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB58, constB59)) | (v94(constB59) <=> (~((~v95(constB59)) | (~v104(constB59))))))),
% 14.59/9.81 inference(rewrite,[status(thm)],[])).
% 14.59/9.81 tff(7649,plain,
% 14.59/9.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB58, constB59)) | (v94(constB59) <=> (~((~v95(constB59)) | (~v104(constB59))))))),
% 14.59/9.81 inference(quant_inst,[status(thm)],[])).
% 14.59/9.81 tff(7650,plain,
% 14.59/9.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB58, constB59)) | (v94(constB59) <=> (~((~v95(constB59)) | (~v104(constB59)))))),
% 14.59/9.81 inference(modus_ponens,[status(thm)],[7649, 7648])).
% 14.59/9.81 tff(7651,plain,
% 14.59/9.81 (v94(constB59) <=> (~((~v95(constB59)) | (~v104(constB59))))),
% 14.59/9.81 inference(unit_resolution,[status(thm)],[7650, 7647, 770])).
% 14.59/9.81 tff(7652,plain,
% 14.59/9.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59))))))),
% 14.59/9.81 inference(rewrite,[status(thm)],[])).
% 14.59/9.82 tff(7653,plain,
% 14.59/9.82 (((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v96(constB59)) | (~v1(constB59)))))) <=> ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59))))))),
% 14.59/9.82 inference(rewrite,[status(thm)],[])).
% 14.59/9.82 tff(7654,plain,
% 14.59/9.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v96(constB59)) | (~v1(constB59))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59)))))))),
% 14.59/9.82 inference(monotonicity,[status(thm)],[7653])).
% 14.59/9.82 tff(7655,plain,
% 14.59/9.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v96(constB59)) | (~v1(constB59))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59))))))),
% 14.69/9.82 inference(transitivity,[status(thm)],[7654, 7652])).
% 14.69/9.82 tff(7656,plain,
% 14.69/9.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v96(constB59)) | (~v1(constB59))))))),
% 14.69/9.82 inference(quant_inst,[status(thm)],[])).
% 14.69/9.82 tff(7657,plain,
% 14.69/9.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59)))))),
% 14.69/9.82 inference(modus_ponens,[status(thm)],[7656, 7655])).
% 14.69/9.82 tff(7658,plain,
% 14.69/9.82 (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59))))),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7657, 7647, 790])).
% 14.69/9.82 tff(7659,plain,
% 14.69/9.82 ((~v1(constB59)) <=> (~v1(constB59))),
% 14.69/9.82 inference(rewrite,[status(thm)],[])).
% 14.69/9.82 tff(7660,axiom,(~v1(constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_59')).
% 14.69/9.82 tff(7661,plain,
% 14.69/9.82 (~v1(constB59)),
% 14.69/9.82 inference(modus_ponens,[status(thm)],[7660, 7659])).
% 14.69/9.82 tff(7662,plain,
% 14.69/9.82 (((~v1(constB59)) | (~v96(constB59))) | v1(constB59)),
% 14.69/9.82 inference(tautology,[status(thm)],[])).
% 14.69/9.82 tff(7663,plain,
% 14.69/9.82 ((~v1(constB59)) | (~v96(constB59))),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7662, 7661])).
% 14.69/9.82 tff(7664,plain,
% 14.69/9.82 ((~(v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59)))))) | (~v95(constB59)) | (~((~v1(constB59)) | (~v96(constB59))))),
% 14.69/9.82 inference(tautology,[status(thm)],[])).
% 14.69/9.82 tff(7665,plain,
% 14.69/9.82 ((~(v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59)))))) | (~v95(constB59))),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7664, 7663])).
% 14.69/9.82 tff(7666,plain,
% 14.69/9.82 (~v95(constB59)),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7665, 7658])).
% 14.69/9.82 tff(7667,plain,
% 14.69/9.82 (((~v95(constB59)) | (~v104(constB59))) | v95(constB59)),
% 14.69/9.82 inference(tautology,[status(thm)],[])).
% 14.69/9.82 tff(7668,plain,
% 14.69/9.82 ((~v95(constB59)) | (~v104(constB59))),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7667, 7666])).
% 14.69/9.82 tff(7669,plain,
% 14.69/9.82 ((~(v94(constB59) <=> (~((~v95(constB59)) | (~v104(constB59)))))) | (~v94(constB59)) | (~((~v95(constB59)) | (~v104(constB59))))),
% 14.69/9.82 inference(tautology,[status(thm)],[])).
% 14.69/9.82 tff(7670,plain,
% 14.69/9.82 (~v94(constB59)),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7669, 7668, 7651])).
% 14.69/9.82 tff(7671,plain,
% 14.69/9.82 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB59) | (~nextState(constB58, constB59)) | (~(((~v84(constB59, 1)) <=> v84(constB58, 1)) | ((~v84(constB59, 2)) <=> v84(constB58, 2)) | ((~v84(constB59, 0)) <=> v84(constB58, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB59) | (~nextState(constB58, constB59)) | (~(((~v84(constB59, 1)) <=> v84(constB58, 1)) | ((~v84(constB59, 2)) <=> v84(constB58, 2)) | ((~v84(constB59, 0)) <=> v84(constB58, 0)))))),
% 14.69/9.82 inference(rewrite,[status(thm)],[])).
% 14.69/9.82 tff(7672,plain,
% 14.69/9.82 ((v94(constB59) | (~nextState(constB58, constB59)) | (~(((~v84(constB59, 2)) <=> v84(constB58, 2)) | ((~v84(constB59, 1)) <=> v84(constB58, 1)) | ((~v84(constB59, 0)) <=> v84(constB58, 0))))) <=> (v94(constB59) | (~nextState(constB58, constB59)) | (~(((~v84(constB59, 1)) <=> v84(constB58, 1)) | ((~v84(constB59, 2)) <=> v84(constB58, 2)) | ((~v84(constB59, 0)) <=> v84(constB58, 0)))))),
% 14.69/9.82 inference(rewrite,[status(thm)],[])).
% 14.69/9.82 tff(7673,plain,
% 14.69/9.82 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB59) | (~nextState(constB58, constB59)) | (~(((~v84(constB59, 2)) <=> v84(constB58, 2)) | ((~v84(constB59, 1)) <=> v84(constB58, 1)) | ((~v84(constB59, 0)) <=> v84(constB58, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB59) | (~nextState(constB58, constB59)) | (~(((~v84(constB59, 1)) <=> v84(constB58, 1)) | ((~v84(constB59, 2)) <=> v84(constB58, 2)) | ((~v84(constB59, 0)) <=> v84(constB58, 0))))))),
% 14.69/9.82 inference(monotonicity,[status(thm)],[7672])).
% 14.69/9.82 tff(7674,plain,
% 14.69/9.82 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB59) | (~nextState(constB58, constB59)) | (~(((~v84(constB59, 2)) <=> v84(constB58, 2)) | ((~v84(constB59, 1)) <=> v84(constB58, 1)) | ((~v84(constB59, 0)) <=> v84(constB58, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB59) | (~nextState(constB58, constB59)) | (~(((~v84(constB59, 1)) <=> v84(constB58, 1)) | ((~v84(constB59, 2)) <=> v84(constB58, 2)) | ((~v84(constB59, 0)) <=> v84(constB58, 0)))))),
% 14.69/9.82 inference(transitivity,[status(thm)],[7673, 7671])).
% 14.69/9.82 tff(7675,plain,
% 14.69/9.82 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB59) | (~nextState(constB58, constB59)) | (~(((~v84(constB59, 2)) <=> v84(constB58, 2)) | ((~v84(constB59, 1)) <=> v84(constB58, 1)) | ((~v84(constB59, 0)) <=> v84(constB58, 0)))))),
% 14.69/9.82 inference(quant_inst,[status(thm)],[])).
% 14.69/9.82 tff(7676,plain,
% 14.69/9.82 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB59) | (~nextState(constB58, constB59)) | (~(((~v84(constB59, 1)) <=> v84(constB58, 1)) | ((~v84(constB59, 2)) <=> v84(constB58, 2)) | ((~v84(constB59, 0)) <=> v84(constB58, 0))))),
% 14.69/9.82 inference(modus_ponens,[status(thm)],[7675, 7674])).
% 14.69/9.82 tff(7677,plain,
% 14.69/9.82 (v94(constB59) | (~(((~v84(constB59, 1)) <=> v84(constB58, 1)) | ((~v84(constB59, 2)) <=> v84(constB58, 2)) | ((~v84(constB59, 0)) <=> v84(constB58, 0))))),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7676, 7647, 819])).
% 14.69/9.82 tff(7678,plain,
% 14.69/9.82 (~(((~v84(constB59, 1)) <=> v84(constB58, 1)) | ((~v84(constB59, 2)) <=> v84(constB58, 2)) | ((~v84(constB59, 0)) <=> v84(constB58, 0)))),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7677, 7670])).
% 14.69/9.82 tff(7679,plain,
% 14.69/9.82 ((((~v84(constB59, 1)) <=> v84(constB58, 1)) | ((~v84(constB59, 2)) <=> v84(constB58, 2)) | ((~v84(constB59, 0)) <=> v84(constB58, 0))) | (~((~v84(constB59, 2)) <=> v84(constB58, 2)))),
% 14.69/9.82 inference(tautology,[status(thm)],[])).
% 14.69/9.82 tff(7680,plain,
% 14.69/9.82 (~((~v84(constB59, 2)) <=> v84(constB58, 2))),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7679, 7678])).
% 14.69/9.82 tff(7681,plain,
% 14.69/9.82 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 14.69/9.82 inference(rewrite,[status(thm)],[])).
% 14.69/9.82 tff(7682,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_57')).
% 14.69/9.82 tff(7683,plain,
% 14.69/9.82 (nextState(constB57, constB58)),
% 14.69/9.82 inference(modus_ponens,[status(thm)],[7682, 7681])).
% 14.69/9.82 tff(7684,plain,
% 14.69/9.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB57, constB58)) | (~(((~v123(constB58, 2)) <=> v121(constB57, 2)) | ((~v123(constB58, 1)) <=> v121(constB57, 1)) | ((~v123(constB58, 0)) <=> v121(constB57, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB57, constB58)) | (~(((~v123(constB58, 2)) <=> v121(constB57, 2)) | ((~v123(constB58, 1)) <=> v121(constB57, 1)) | ((~v123(constB58, 0)) <=> v121(constB57, 0)))))),
% 14.69/9.82 inference(rewrite,[status(thm)],[])).
% 14.69/9.82 tff(7685,plain,
% 14.69/9.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB57, constB58)) | (~(((~v123(constB58, 2)) <=> v121(constB57, 2)) | ((~v123(constB58, 1)) <=> v121(constB57, 1)) | ((~v123(constB58, 0)) <=> v121(constB57, 0)))))),
% 14.69/9.82 inference(quant_inst,[status(thm)],[])).
% 14.69/9.82 tff(7686,plain,
% 14.69/9.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB57, constB58)) | (~(((~v123(constB58, 2)) <=> v121(constB57, 2)) | ((~v123(constB58, 1)) <=> v121(constB57, 1)) | ((~v123(constB58, 0)) <=> v121(constB57, 0))))),
% 14.69/9.82 inference(modus_ponens,[status(thm)],[7685, 7684])).
% 14.69/9.82 tff(7687,plain,
% 14.69/9.82 (~(((~v123(constB58, 2)) <=> v121(constB57, 2)) | ((~v123(constB58, 1)) <=> v121(constB57, 1)) | ((~v123(constB58, 0)) <=> v121(constB57, 0)))),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7686, 7683, 842])).
% 14.69/9.82 tff(7688,plain,
% 14.69/9.82 ((((~v123(constB58, 2)) <=> v121(constB57, 2)) | ((~v123(constB58, 1)) <=> v121(constB57, 1)) | ((~v123(constB58, 0)) <=> v121(constB57, 0))) | (~((~v123(constB58, 2)) <=> v121(constB57, 2)))),
% 14.69/9.82 inference(tautology,[status(thm)],[])).
% 14.69/9.82 tff(7689,plain,
% 14.69/9.82 (~((~v123(constB58, 2)) <=> v121(constB57, 2))),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7688, 7687])).
% 14.69/9.82 tff(7690,plain,
% 14.69/9.82 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB57) <=> v26(constB57))),
% 14.69/9.82 inference(quant_inst,[status(thm)],[])).
% 14.69/9.82 tff(7691,plain,
% 14.69/9.82 (v105(constB57) <=> v26(constB57)),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7690, 861])).
% 14.69/9.82 tff(7692,plain,
% 14.69/9.82 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB57))),
% 14.69/9.82 inference(quant_inst,[status(thm)],[])).
% 14.69/9.82 tff(7693,plain,
% 14.69/9.82 (~v26(constB57)),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7692, 873])).
% 14.69/9.82 tff(7694,plain,
% 14.69/9.82 ((~(v105(constB57) <=> v26(constB57))) | (~v105(constB57)) | v26(constB57)),
% 14.69/9.82 inference(tautology,[status(thm)],[])).
% 14.69/9.82 tff(7695,plain,
% 14.69/9.82 ((~(v105(constB57) <=> v26(constB57))) | (~v105(constB57))),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7694, 7693])).
% 14.69/9.82 tff(7696,plain,
% 14.69/9.82 (~v105(constB57)),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7695, 7691])).
% 14.69/9.82 tff(7697,plain,
% 14.69/9.82 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB57) | (~(((~v121(constB57, 2)) <=> v124(constB57, 2)) | ((~v121(constB57, 0)) <=> v124(constB57, 0)) | ((~v121(constB57, 1)) <=> v124(constB57, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB57) | (~(((~v121(constB57, 2)) <=> v124(constB57, 2)) | ((~v121(constB57, 0)) <=> v124(constB57, 0)) | ((~v121(constB57, 1)) <=> v124(constB57, 1)))))),
% 14.69/9.82 inference(rewrite,[status(thm)],[])).
% 14.69/9.82 tff(7698,plain,
% 14.69/9.82 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB57) | (~(((~v121(constB57, 2)) <=> v124(constB57, 2)) | ((~v121(constB57, 0)) <=> v124(constB57, 0)) | ((~v121(constB57, 1)) <=> v124(constB57, 1)))))),
% 14.69/9.82 inference(quant_inst,[status(thm)],[])).
% 14.69/9.82 tff(7699,plain,
% 14.69/9.82 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB57) | (~(((~v121(constB57, 2)) <=> v124(constB57, 2)) | ((~v121(constB57, 0)) <=> v124(constB57, 0)) | ((~v121(constB57, 1)) <=> v124(constB57, 1))))),
% 14.69/9.82 inference(modus_ponens,[status(thm)],[7698, 7697])).
% 14.69/9.82 tff(7700,plain,
% 14.69/9.82 (v105(constB57) | (~(((~v121(constB57, 2)) <=> v124(constB57, 2)) | ((~v121(constB57, 0)) <=> v124(constB57, 0)) | ((~v121(constB57, 1)) <=> v124(constB57, 1))))),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7699, 891])).
% 14.69/9.82 tff(7701,plain,
% 14.69/9.82 (~(((~v121(constB57, 2)) <=> v124(constB57, 2)) | ((~v121(constB57, 0)) <=> v124(constB57, 0)) | ((~v121(constB57, 1)) <=> v124(constB57, 1)))),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7700, 7696])).
% 14.69/9.82 tff(7702,plain,
% 14.69/9.82 ((((~v121(constB57, 2)) <=> v124(constB57, 2)) | ((~v121(constB57, 0)) <=> v124(constB57, 0)) | ((~v121(constB57, 1)) <=> v124(constB57, 1))) | (~((~v121(constB57, 2)) <=> v124(constB57, 2)))),
% 14.69/9.82 inference(tautology,[status(thm)],[])).
% 14.69/9.82 tff(7703,plain,
% 14.69/9.82 (~((~v121(constB57, 2)) <=> v124(constB57, 2))),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7702, 7701])).
% 14.69/9.82 tff(7704,plain,
% 14.69/9.82 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB57) <=> (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))))),
% 14.69/9.82 inference(quant_inst,[status(thm)],[])).
% 14.69/9.82 tff(7705,plain,
% 14.69/9.82 (v114(constB57) <=> (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))))),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7704, 1064])).
% 14.69/9.82 tff(7706,plain,
% 14.69/9.82 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 14.69/9.82 inference(rewrite,[status(thm)],[])).
% 14.69/9.82 tff(7707,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_56')).
% 14.69/9.82 tff(7708,plain,
% 14.69/9.82 (nextState(constB56, constB57)),
% 14.69/9.82 inference(modus_ponens,[status(thm)],[7707, 7706])).
% 14.69/9.82 tff(7709,plain,
% 14.69/9.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB56, constB57)) | (v94(constB57) <=> (~((~v95(constB57)) | (~v104(constB57))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB56, constB57)) | (v94(constB57) <=> (~((~v95(constB57)) | (~v104(constB57))))))),
% 14.69/9.82 inference(rewrite,[status(thm)],[])).
% 14.69/9.82 tff(7710,plain,
% 14.69/9.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB56, constB57)) | (v94(constB57) <=> (~((~v95(constB57)) | (~v104(constB57))))))),
% 14.69/9.82 inference(quant_inst,[status(thm)],[])).
% 14.69/9.82 tff(7711,plain,
% 14.69/9.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB56, constB57)) | (v94(constB57) <=> (~((~v95(constB57)) | (~v104(constB57)))))),
% 14.69/9.82 inference(modus_ponens,[status(thm)],[7710, 7709])).
% 14.69/9.82 tff(7712,plain,
% 14.69/9.82 (v94(constB57) <=> (~((~v95(constB57)) | (~v104(constB57))))),
% 14.69/9.82 inference(unit_resolution,[status(thm)],[7711, 7708, 770])).
% 14.69/9.82 tff(7713,plain,
% 14.69/9.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57))))))),
% 14.69/9.83 inference(rewrite,[status(thm)],[])).
% 14.69/9.83 tff(7714,plain,
% 14.69/9.83 (((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v96(constB57)) | (~v1(constB57)))))) <=> ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57))))))),
% 14.69/9.83 inference(rewrite,[status(thm)],[])).
% 14.69/9.83 tff(7715,plain,
% 14.69/9.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v96(constB57)) | (~v1(constB57))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57)))))))),
% 14.69/9.83 inference(monotonicity,[status(thm)],[7714])).
% 14.69/9.83 tff(7716,plain,
% 14.69/9.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v96(constB57)) | (~v1(constB57))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57))))))),
% 14.69/9.83 inference(transitivity,[status(thm)],[7715, 7713])).
% 14.69/9.83 tff(7717,plain,
% 14.69/9.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v96(constB57)) | (~v1(constB57))))))),
% 14.69/9.83 inference(quant_inst,[status(thm)],[])).
% 14.69/9.83 tff(7718,plain,
% 14.69/9.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57)))))),
% 14.69/9.83 inference(modus_ponens,[status(thm)],[7717, 7716])).
% 14.69/9.83 tff(7719,plain,
% 14.69/9.83 (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57))))),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7718, 7708, 790])).
% 14.69/9.83 tff(7720,plain,
% 14.69/9.83 ((~v1(constB57)) <=> (~v1(constB57))),
% 14.69/9.83 inference(rewrite,[status(thm)],[])).
% 14.69/9.83 tff(7721,axiom,(~v1(constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_57')).
% 14.69/9.83 tff(7722,plain,
% 14.69/9.83 (~v1(constB57)),
% 14.69/9.83 inference(modus_ponens,[status(thm)],[7721, 7720])).
% 14.69/9.83 tff(7723,plain,
% 14.69/9.83 (((~v1(constB57)) | (~v96(constB57))) | v1(constB57)),
% 14.69/9.83 inference(tautology,[status(thm)],[])).
% 14.69/9.83 tff(7724,plain,
% 14.69/9.83 ((~v1(constB57)) | (~v96(constB57))),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7723, 7722])).
% 14.69/9.83 tff(7725,plain,
% 14.69/9.83 ((~(v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57)))))) | (~v95(constB57)) | (~((~v1(constB57)) | (~v96(constB57))))),
% 14.69/9.83 inference(tautology,[status(thm)],[])).
% 14.69/9.83 tff(7726,plain,
% 14.69/9.83 ((~(v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57)))))) | (~v95(constB57))),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7725, 7724])).
% 14.69/9.83 tff(7727,plain,
% 14.69/9.83 (~v95(constB57)),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7726, 7719])).
% 14.69/9.83 tff(7728,plain,
% 14.69/9.83 (((~v95(constB57)) | (~v104(constB57))) | v95(constB57)),
% 14.69/9.83 inference(tautology,[status(thm)],[])).
% 14.69/9.83 tff(7729,plain,
% 14.69/9.83 ((~v95(constB57)) | (~v104(constB57))),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7728, 7727])).
% 14.69/9.83 tff(7730,plain,
% 14.69/9.83 ((~(v94(constB57) <=> (~((~v95(constB57)) | (~v104(constB57)))))) | (~v94(constB57)) | (~((~v95(constB57)) | (~v104(constB57))))),
% 14.69/9.83 inference(tautology,[status(thm)],[])).
% 14.69/9.83 tff(7731,plain,
% 14.69/9.83 (~v94(constB57)),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7730, 7729, 7712])).
% 14.69/9.83 tff(7732,plain,
% 14.69/9.83 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB57) | (~nextState(constB56, constB57)) | (~(((~v84(constB57, 1)) <=> v84(constB56, 1)) | ((~v84(constB57, 2)) <=> v84(constB56, 2)) | ((~v84(constB57, 0)) <=> v84(constB56, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB57) | (~nextState(constB56, constB57)) | (~(((~v84(constB57, 1)) <=> v84(constB56, 1)) | ((~v84(constB57, 2)) <=> v84(constB56, 2)) | ((~v84(constB57, 0)) <=> v84(constB56, 0)))))),
% 14.69/9.83 inference(rewrite,[status(thm)],[])).
% 14.69/9.83 tff(7733,plain,
% 14.69/9.83 ((v94(constB57) | (~nextState(constB56, constB57)) | (~(((~v84(constB57, 2)) <=> v84(constB56, 2)) | ((~v84(constB57, 1)) <=> v84(constB56, 1)) | ((~v84(constB57, 0)) <=> v84(constB56, 0))))) <=> (v94(constB57) | (~nextState(constB56, constB57)) | (~(((~v84(constB57, 1)) <=> v84(constB56, 1)) | ((~v84(constB57, 2)) <=> v84(constB56, 2)) | ((~v84(constB57, 0)) <=> v84(constB56, 0)))))),
% 14.69/9.83 inference(rewrite,[status(thm)],[])).
% 14.69/9.83 tff(7734,plain,
% 14.69/9.83 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB57) | (~nextState(constB56, constB57)) | (~(((~v84(constB57, 2)) <=> v84(constB56, 2)) | ((~v84(constB57, 1)) <=> v84(constB56, 1)) | ((~v84(constB57, 0)) <=> v84(constB56, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB57) | (~nextState(constB56, constB57)) | (~(((~v84(constB57, 1)) <=> v84(constB56, 1)) | ((~v84(constB57, 2)) <=> v84(constB56, 2)) | ((~v84(constB57, 0)) <=> v84(constB56, 0))))))),
% 14.69/9.83 inference(monotonicity,[status(thm)],[7733])).
% 14.69/9.83 tff(7735,plain,
% 14.69/9.83 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB57) | (~nextState(constB56, constB57)) | (~(((~v84(constB57, 2)) <=> v84(constB56, 2)) | ((~v84(constB57, 1)) <=> v84(constB56, 1)) | ((~v84(constB57, 0)) <=> v84(constB56, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB57) | (~nextState(constB56, constB57)) | (~(((~v84(constB57, 1)) <=> v84(constB56, 1)) | ((~v84(constB57, 2)) <=> v84(constB56, 2)) | ((~v84(constB57, 0)) <=> v84(constB56, 0)))))),
% 14.69/9.83 inference(transitivity,[status(thm)],[7734, 7732])).
% 14.69/9.83 tff(7736,plain,
% 14.69/9.83 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB57) | (~nextState(constB56, constB57)) | (~(((~v84(constB57, 2)) <=> v84(constB56, 2)) | ((~v84(constB57, 1)) <=> v84(constB56, 1)) | ((~v84(constB57, 0)) <=> v84(constB56, 0)))))),
% 14.69/9.83 inference(quant_inst,[status(thm)],[])).
% 14.69/9.83 tff(7737,plain,
% 14.69/9.83 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB57) | (~nextState(constB56, constB57)) | (~(((~v84(constB57, 1)) <=> v84(constB56, 1)) | ((~v84(constB57, 2)) <=> v84(constB56, 2)) | ((~v84(constB57, 0)) <=> v84(constB56, 0))))),
% 14.69/9.83 inference(modus_ponens,[status(thm)],[7736, 7735])).
% 14.69/9.83 tff(7738,plain,
% 14.69/9.83 (v94(constB57) | (~(((~v84(constB57, 1)) <=> v84(constB56, 1)) | ((~v84(constB57, 2)) <=> v84(constB56, 2)) | ((~v84(constB57, 0)) <=> v84(constB56, 0))))),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7737, 7708, 819])).
% 14.69/9.83 tff(7739,plain,
% 14.69/9.83 (~(((~v84(constB57, 1)) <=> v84(constB56, 1)) | ((~v84(constB57, 2)) <=> v84(constB56, 2)) | ((~v84(constB57, 0)) <=> v84(constB56, 0)))),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7738, 7731])).
% 14.69/9.83 tff(7740,plain,
% 14.69/9.83 ((((~v84(constB57, 1)) <=> v84(constB56, 1)) | ((~v84(constB57, 2)) <=> v84(constB56, 2)) | ((~v84(constB57, 0)) <=> v84(constB56, 0))) | (~((~v84(constB57, 2)) <=> v84(constB56, 2)))),
% 14.69/9.83 inference(tautology,[status(thm)],[])).
% 14.69/9.83 tff(7741,plain,
% 14.69/9.83 (~((~v84(constB57, 2)) <=> v84(constB56, 2))),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7740, 7739])).
% 14.69/9.83 tff(7742,plain,
% 14.69/9.83 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 14.69/9.83 inference(rewrite,[status(thm)],[])).
% 14.69/9.83 tff(7743,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_55')).
% 14.69/9.83 tff(7744,plain,
% 14.69/9.83 (nextState(constB55, constB56)),
% 14.69/9.83 inference(modus_ponens,[status(thm)],[7743, 7742])).
% 14.69/9.83 tff(7745,plain,
% 14.69/9.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB55, constB56)) | (~(((~v123(constB56, 2)) <=> v121(constB55, 2)) | ((~v123(constB56, 1)) <=> v121(constB55, 1)) | ((~v123(constB56, 0)) <=> v121(constB55, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB55, constB56)) | (~(((~v123(constB56, 2)) <=> v121(constB55, 2)) | ((~v123(constB56, 1)) <=> v121(constB55, 1)) | ((~v123(constB56, 0)) <=> v121(constB55, 0)))))),
% 14.69/9.83 inference(rewrite,[status(thm)],[])).
% 14.69/9.83 tff(7746,plain,
% 14.69/9.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB55, constB56)) | (~(((~v123(constB56, 2)) <=> v121(constB55, 2)) | ((~v123(constB56, 1)) <=> v121(constB55, 1)) | ((~v123(constB56, 0)) <=> v121(constB55, 0)))))),
% 14.69/9.83 inference(quant_inst,[status(thm)],[])).
% 14.69/9.83 tff(7747,plain,
% 14.69/9.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB55, constB56)) | (~(((~v123(constB56, 2)) <=> v121(constB55, 2)) | ((~v123(constB56, 1)) <=> v121(constB55, 1)) | ((~v123(constB56, 0)) <=> v121(constB55, 0))))),
% 14.69/9.83 inference(modus_ponens,[status(thm)],[7746, 7745])).
% 14.69/9.83 tff(7748,plain,
% 14.69/9.83 (~(((~v123(constB56, 2)) <=> v121(constB55, 2)) | ((~v123(constB56, 1)) <=> v121(constB55, 1)) | ((~v123(constB56, 0)) <=> v121(constB55, 0)))),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7747, 7744, 842])).
% 14.69/9.83 tff(7749,plain,
% 14.69/9.83 ((((~v123(constB56, 2)) <=> v121(constB55, 2)) | ((~v123(constB56, 1)) <=> v121(constB55, 1)) | ((~v123(constB56, 0)) <=> v121(constB55, 0))) | (~((~v123(constB56, 2)) <=> v121(constB55, 2)))),
% 14.69/9.83 inference(tautology,[status(thm)],[])).
% 14.69/9.83 tff(7750,plain,
% 14.69/9.83 (~((~v123(constB56, 2)) <=> v121(constB55, 2))),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7749, 7748])).
% 14.69/9.83 tff(7751,plain,
% 14.69/9.83 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB55) <=> v26(constB55))),
% 14.69/9.83 inference(quant_inst,[status(thm)],[])).
% 14.69/9.83 tff(7752,plain,
% 14.69/9.83 (v105(constB55) <=> v26(constB55)),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7751, 861])).
% 14.69/9.83 tff(7753,plain,
% 14.69/9.83 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB55))),
% 14.69/9.83 inference(quant_inst,[status(thm)],[])).
% 14.69/9.83 tff(7754,plain,
% 14.69/9.83 (~v26(constB55)),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7753, 873])).
% 14.69/9.83 tff(7755,plain,
% 14.69/9.83 ((~(v105(constB55) <=> v26(constB55))) | (~v105(constB55)) | v26(constB55)),
% 14.69/9.83 inference(tautology,[status(thm)],[])).
% 14.69/9.83 tff(7756,plain,
% 14.69/9.83 ((~(v105(constB55) <=> v26(constB55))) | (~v105(constB55))),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7755, 7754])).
% 14.69/9.83 tff(7757,plain,
% 14.69/9.83 (~v105(constB55)),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7756, 7752])).
% 14.69/9.83 tff(7758,plain,
% 14.69/9.83 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB55) | (~(((~v121(constB55, 2)) <=> v124(constB55, 2)) | ((~v121(constB55, 0)) <=> v124(constB55, 0)) | ((~v121(constB55, 1)) <=> v124(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB55) | (~(((~v121(constB55, 2)) <=> v124(constB55, 2)) | ((~v121(constB55, 0)) <=> v124(constB55, 0)) | ((~v121(constB55, 1)) <=> v124(constB55, 1)))))),
% 14.69/9.83 inference(rewrite,[status(thm)],[])).
% 14.69/9.83 tff(7759,plain,
% 14.69/9.83 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB55) | (~(((~v121(constB55, 2)) <=> v124(constB55, 2)) | ((~v121(constB55, 0)) <=> v124(constB55, 0)) | ((~v121(constB55, 1)) <=> v124(constB55, 1)))))),
% 14.69/9.83 inference(quant_inst,[status(thm)],[])).
% 14.69/9.83 tff(7760,plain,
% 14.69/9.83 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB55) | (~(((~v121(constB55, 2)) <=> v124(constB55, 2)) | ((~v121(constB55, 0)) <=> v124(constB55, 0)) | ((~v121(constB55, 1)) <=> v124(constB55, 1))))),
% 14.69/9.83 inference(modus_ponens,[status(thm)],[7759, 7758])).
% 14.69/9.83 tff(7761,plain,
% 14.69/9.83 (v105(constB55) | (~(((~v121(constB55, 2)) <=> v124(constB55, 2)) | ((~v121(constB55, 0)) <=> v124(constB55, 0)) | ((~v121(constB55, 1)) <=> v124(constB55, 1))))),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7760, 891])).
% 14.69/9.83 tff(7762,plain,
% 14.69/9.83 (~(((~v121(constB55, 2)) <=> v124(constB55, 2)) | ((~v121(constB55, 0)) <=> v124(constB55, 0)) | ((~v121(constB55, 1)) <=> v124(constB55, 1)))),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7761, 7757])).
% 14.69/9.83 tff(7763,plain,
% 14.69/9.83 ((((~v121(constB55, 2)) <=> v124(constB55, 2)) | ((~v121(constB55, 0)) <=> v124(constB55, 0)) | ((~v121(constB55, 1)) <=> v124(constB55, 1))) | (~((~v121(constB55, 2)) <=> v124(constB55, 2)))),
% 14.69/9.83 inference(tautology,[status(thm)],[])).
% 14.69/9.83 tff(7764,plain,
% 14.69/9.83 (~((~v121(constB55, 2)) <=> v124(constB55, 2))),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7763, 7762])).
% 14.69/9.83 tff(7765,plain,
% 14.69/9.83 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0)))))),
% 14.69/9.83 inference(quant_inst,[status(thm)],[])).
% 14.69/9.83 tff(7766,plain,
% 14.69/9.83 (v114(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0))))),
% 14.69/9.83 inference(unit_resolution,[status(thm)],[7765, 1064])).
% 14.69/9.83 tff(7767,plain,
% 14.69/9.83 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 14.69/9.83 inference(rewrite,[status(thm)],[])).
% 14.69/9.83 tff(7768,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_54')).
% 14.69/9.83 tff(7769,plain,
% 14.69/9.83 (nextState(constB54, constB55)),
% 14.69/9.83 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 14.69/9.83 tff(7770,plain,
% 14.69/9.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB54, constB55)) | (v94(constB55) <=> (~((~v95(constB55)) | (~v104(constB55))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB54, constB55)) | (v94(constB55) <=> (~((~v95(constB55)) | (~v104(constB55))))))),
% 14.69/9.84 inference(rewrite,[status(thm)],[])).
% 14.69/9.84 tff(7771,plain,
% 14.69/9.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB54, constB55)) | (v94(constB55) <=> (~((~v95(constB55)) | (~v104(constB55))))))),
% 14.69/9.84 inference(quant_inst,[status(thm)],[])).
% 14.69/9.84 tff(7772,plain,
% 14.69/9.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB54, constB55)) | (v94(constB55) <=> (~((~v95(constB55)) | (~v104(constB55)))))),
% 14.69/9.84 inference(modus_ponens,[status(thm)],[7771, 7770])).
% 14.69/9.84 tff(7773,plain,
% 14.69/9.84 (v94(constB55) <=> (~((~v95(constB55)) | (~v104(constB55))))),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7772, 7769, 770])).
% 14.69/9.84 tff(7774,plain,
% 14.69/9.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55))))))),
% 14.69/9.84 inference(rewrite,[status(thm)],[])).
% 14.69/9.84 tff(7775,plain,
% 14.69/9.84 (((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v96(constB55)) | (~v1(constB55)))))) <=> ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55))))))),
% 14.69/9.84 inference(rewrite,[status(thm)],[])).
% 14.69/9.84 tff(7776,plain,
% 14.69/9.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v96(constB55)) | (~v1(constB55))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55)))))))),
% 14.69/9.84 inference(monotonicity,[status(thm)],[7775])).
% 14.69/9.84 tff(7777,plain,
% 14.69/9.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v96(constB55)) | (~v1(constB55))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55))))))),
% 14.69/9.84 inference(transitivity,[status(thm)],[7776, 7774])).
% 14.69/9.84 tff(7778,plain,
% 14.69/9.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v96(constB55)) | (~v1(constB55))))))),
% 14.69/9.84 inference(quant_inst,[status(thm)],[])).
% 14.69/9.84 tff(7779,plain,
% 14.69/9.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55)))))),
% 14.69/9.84 inference(modus_ponens,[status(thm)],[7778, 7777])).
% 14.69/9.84 tff(7780,plain,
% 14.69/9.84 (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55))))),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7779, 7769, 790])).
% 14.69/9.84 tff(7781,plain,
% 14.69/9.84 ((~v1(constB55)) <=> (~v1(constB55))),
% 14.69/9.84 inference(rewrite,[status(thm)],[])).
% 14.69/9.84 tff(7782,axiom,(~v1(constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_55')).
% 14.69/9.84 tff(7783,plain,
% 14.69/9.84 (~v1(constB55)),
% 14.69/9.84 inference(modus_ponens,[status(thm)],[7782, 7781])).
% 14.69/9.84 tff(7784,plain,
% 14.69/9.84 (((~v1(constB55)) | (~v96(constB55))) | v1(constB55)),
% 14.69/9.84 inference(tautology,[status(thm)],[])).
% 14.69/9.84 tff(7785,plain,
% 14.69/9.84 ((~v1(constB55)) | (~v96(constB55))),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7784, 7783])).
% 14.69/9.84 tff(7786,plain,
% 14.69/9.84 ((~(v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55)))))) | (~v95(constB55)) | (~((~v1(constB55)) | (~v96(constB55))))),
% 14.69/9.84 inference(tautology,[status(thm)],[])).
% 14.69/9.84 tff(7787,plain,
% 14.69/9.84 ((~(v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55)))))) | (~v95(constB55))),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7786, 7785])).
% 14.69/9.84 tff(7788,plain,
% 14.69/9.84 (~v95(constB55)),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7787, 7780])).
% 14.69/9.84 tff(7789,plain,
% 14.69/9.84 (((~v95(constB55)) | (~v104(constB55))) | v95(constB55)),
% 14.69/9.84 inference(tautology,[status(thm)],[])).
% 14.69/9.84 tff(7790,plain,
% 14.69/9.84 ((~v95(constB55)) | (~v104(constB55))),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7789, 7788])).
% 14.69/9.84 tff(7791,plain,
% 14.69/9.84 ((~(v94(constB55) <=> (~((~v95(constB55)) | (~v104(constB55)))))) | (~v94(constB55)) | (~((~v95(constB55)) | (~v104(constB55))))),
% 14.69/9.84 inference(tautology,[status(thm)],[])).
% 14.69/9.84 tff(7792,plain,
% 14.69/9.84 (~v94(constB55)),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7791, 7790, 7773])).
% 14.69/9.84 tff(7793,plain,
% 14.69/9.84 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB55) | (~nextState(constB54, constB55)) | (~(((~v84(constB55, 1)) <=> v84(constB54, 1)) | ((~v84(constB55, 2)) <=> v84(constB54, 2)) | ((~v84(constB55, 0)) <=> v84(constB54, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB55) | (~nextState(constB54, constB55)) | (~(((~v84(constB55, 1)) <=> v84(constB54, 1)) | ((~v84(constB55, 2)) <=> v84(constB54, 2)) | ((~v84(constB55, 0)) <=> v84(constB54, 0)))))),
% 14.69/9.84 inference(rewrite,[status(thm)],[])).
% 14.69/9.84 tff(7794,plain,
% 14.69/9.84 ((v94(constB55) | (~nextState(constB54, constB55)) | (~(((~v84(constB55, 2)) <=> v84(constB54, 2)) | ((~v84(constB55, 1)) <=> v84(constB54, 1)) | ((~v84(constB55, 0)) <=> v84(constB54, 0))))) <=> (v94(constB55) | (~nextState(constB54, constB55)) | (~(((~v84(constB55, 1)) <=> v84(constB54, 1)) | ((~v84(constB55, 2)) <=> v84(constB54, 2)) | ((~v84(constB55, 0)) <=> v84(constB54, 0)))))),
% 14.69/9.84 inference(rewrite,[status(thm)],[])).
% 14.69/9.84 tff(7795,plain,
% 14.69/9.84 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB55) | (~nextState(constB54, constB55)) | (~(((~v84(constB55, 2)) <=> v84(constB54, 2)) | ((~v84(constB55, 1)) <=> v84(constB54, 1)) | ((~v84(constB55, 0)) <=> v84(constB54, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB55) | (~nextState(constB54, constB55)) | (~(((~v84(constB55, 1)) <=> v84(constB54, 1)) | ((~v84(constB55, 2)) <=> v84(constB54, 2)) | ((~v84(constB55, 0)) <=> v84(constB54, 0))))))),
% 14.69/9.84 inference(monotonicity,[status(thm)],[7794])).
% 14.69/9.84 tff(7796,plain,
% 14.69/9.84 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB55) | (~nextState(constB54, constB55)) | (~(((~v84(constB55, 2)) <=> v84(constB54, 2)) | ((~v84(constB55, 1)) <=> v84(constB54, 1)) | ((~v84(constB55, 0)) <=> v84(constB54, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB55) | (~nextState(constB54, constB55)) | (~(((~v84(constB55, 1)) <=> v84(constB54, 1)) | ((~v84(constB55, 2)) <=> v84(constB54, 2)) | ((~v84(constB55, 0)) <=> v84(constB54, 0)))))),
% 14.69/9.84 inference(transitivity,[status(thm)],[7795, 7793])).
% 14.69/9.84 tff(7797,plain,
% 14.69/9.84 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB55) | (~nextState(constB54, constB55)) | (~(((~v84(constB55, 2)) <=> v84(constB54, 2)) | ((~v84(constB55, 1)) <=> v84(constB54, 1)) | ((~v84(constB55, 0)) <=> v84(constB54, 0)))))),
% 14.69/9.84 inference(quant_inst,[status(thm)],[])).
% 14.69/9.84 tff(7798,plain,
% 14.69/9.84 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB55) | (~nextState(constB54, constB55)) | (~(((~v84(constB55, 1)) <=> v84(constB54, 1)) | ((~v84(constB55, 2)) <=> v84(constB54, 2)) | ((~v84(constB55, 0)) <=> v84(constB54, 0))))),
% 14.69/9.84 inference(modus_ponens,[status(thm)],[7797, 7796])).
% 14.69/9.84 tff(7799,plain,
% 14.69/9.84 (v94(constB55) | (~(((~v84(constB55, 1)) <=> v84(constB54, 1)) | ((~v84(constB55, 2)) <=> v84(constB54, 2)) | ((~v84(constB55, 0)) <=> v84(constB54, 0))))),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7798, 7769, 819])).
% 14.69/9.84 tff(7800,plain,
% 14.69/9.84 (~(((~v84(constB55, 1)) <=> v84(constB54, 1)) | ((~v84(constB55, 2)) <=> v84(constB54, 2)) | ((~v84(constB55, 0)) <=> v84(constB54, 0)))),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7799, 7792])).
% 14.69/9.84 tff(7801,plain,
% 14.69/9.84 ((((~v84(constB55, 1)) <=> v84(constB54, 1)) | ((~v84(constB55, 2)) <=> v84(constB54, 2)) | ((~v84(constB55, 0)) <=> v84(constB54, 0))) | (~((~v84(constB55, 0)) <=> v84(constB54, 0)))),
% 14.69/9.84 inference(tautology,[status(thm)],[])).
% 14.69/9.84 tff(7802,plain,
% 14.69/9.84 (~((~v84(constB55, 0)) <=> v84(constB54, 0))),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7801, 7800])).
% 14.69/9.84 tff(7803,plain,
% 14.69/9.84 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 14.69/9.84 inference(rewrite,[status(thm)],[])).
% 14.69/9.84 tff(7804,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_53')).
% 14.69/9.84 tff(7805,plain,
% 14.69/9.84 (nextState(constB53, constB54)),
% 14.69/9.84 inference(modus_ponens,[status(thm)],[7804, 7803])).
% 14.69/9.84 tff(7806,plain,
% 14.69/9.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB53, constB54)) | (~(((~v123(constB54, 2)) <=> v121(constB53, 2)) | ((~v123(constB54, 1)) <=> v121(constB53, 1)) | ((~v123(constB54, 0)) <=> v121(constB53, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB53, constB54)) | (~(((~v123(constB54, 2)) <=> v121(constB53, 2)) | ((~v123(constB54, 1)) <=> v121(constB53, 1)) | ((~v123(constB54, 0)) <=> v121(constB53, 0)))))),
% 14.69/9.84 inference(rewrite,[status(thm)],[])).
% 14.69/9.84 tff(7807,plain,
% 14.69/9.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB53, constB54)) | (~(((~v123(constB54, 2)) <=> v121(constB53, 2)) | ((~v123(constB54, 1)) <=> v121(constB53, 1)) | ((~v123(constB54, 0)) <=> v121(constB53, 0)))))),
% 14.69/9.84 inference(quant_inst,[status(thm)],[])).
% 14.69/9.84 tff(7808,plain,
% 14.69/9.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB53, constB54)) | (~(((~v123(constB54, 2)) <=> v121(constB53, 2)) | ((~v123(constB54, 1)) <=> v121(constB53, 1)) | ((~v123(constB54, 0)) <=> v121(constB53, 0))))),
% 14.69/9.84 inference(modus_ponens,[status(thm)],[7807, 7806])).
% 14.69/9.84 tff(7809,plain,
% 14.69/9.84 (~(((~v123(constB54, 2)) <=> v121(constB53, 2)) | ((~v123(constB54, 1)) <=> v121(constB53, 1)) | ((~v123(constB54, 0)) <=> v121(constB53, 0)))),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7808, 7805, 842])).
% 14.69/9.84 tff(7810,plain,
% 14.69/9.84 ((((~v123(constB54, 2)) <=> v121(constB53, 2)) | ((~v123(constB54, 1)) <=> v121(constB53, 1)) | ((~v123(constB54, 0)) <=> v121(constB53, 0))) | (~((~v123(constB54, 0)) <=> v121(constB53, 0)))),
% 14.69/9.84 inference(tautology,[status(thm)],[])).
% 14.69/9.84 tff(7811,plain,
% 14.69/9.84 (~((~v123(constB54, 0)) <=> v121(constB53, 0))),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7810, 7809])).
% 14.69/9.84 tff(7812,plain,
% 14.69/9.84 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB53) <=> v26(constB53))),
% 14.69/9.84 inference(quant_inst,[status(thm)],[])).
% 14.69/9.84 tff(7813,plain,
% 14.69/9.84 (v105(constB53) <=> v26(constB53)),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7812, 861])).
% 14.69/9.84 tff(7814,plain,
% 14.69/9.84 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB53))),
% 14.69/9.84 inference(quant_inst,[status(thm)],[])).
% 14.69/9.84 tff(7815,plain,
% 14.69/9.84 (~v26(constB53)),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7814, 873])).
% 14.69/9.84 tff(7816,plain,
% 14.69/9.84 ((~(v105(constB53) <=> v26(constB53))) | (~v105(constB53)) | v26(constB53)),
% 14.69/9.84 inference(tautology,[status(thm)],[])).
% 14.69/9.84 tff(7817,plain,
% 14.69/9.84 ((~(v105(constB53) <=> v26(constB53))) | (~v105(constB53))),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7816, 7815])).
% 14.69/9.84 tff(7818,plain,
% 14.69/9.84 (~v105(constB53)),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7817, 7813])).
% 14.69/9.84 tff(7819,plain,
% 14.69/9.84 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB53) | (~(((~v121(constB53, 2)) <=> v124(constB53, 2)) | ((~v121(constB53, 0)) <=> v124(constB53, 0)) | ((~v121(constB53, 1)) <=> v124(constB53, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB53) | (~(((~v121(constB53, 2)) <=> v124(constB53, 2)) | ((~v121(constB53, 0)) <=> v124(constB53, 0)) | ((~v121(constB53, 1)) <=> v124(constB53, 1)))))),
% 14.69/9.84 inference(rewrite,[status(thm)],[])).
% 14.69/9.84 tff(7820,plain,
% 14.69/9.84 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB53) | (~(((~v121(constB53, 2)) <=> v124(constB53, 2)) | ((~v121(constB53, 0)) <=> v124(constB53, 0)) | ((~v121(constB53, 1)) <=> v124(constB53, 1)))))),
% 14.69/9.84 inference(quant_inst,[status(thm)],[])).
% 14.69/9.84 tff(7821,plain,
% 14.69/9.84 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB53) | (~(((~v121(constB53, 2)) <=> v124(constB53, 2)) | ((~v121(constB53, 0)) <=> v124(constB53, 0)) | ((~v121(constB53, 1)) <=> v124(constB53, 1))))),
% 14.69/9.84 inference(modus_ponens,[status(thm)],[7820, 7819])).
% 14.69/9.84 tff(7822,plain,
% 14.69/9.84 (v105(constB53) | (~(((~v121(constB53, 2)) <=> v124(constB53, 2)) | ((~v121(constB53, 0)) <=> v124(constB53, 0)) | ((~v121(constB53, 1)) <=> v124(constB53, 1))))),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7821, 891])).
% 14.69/9.84 tff(7823,plain,
% 14.69/9.84 (~(((~v121(constB53, 2)) <=> v124(constB53, 2)) | ((~v121(constB53, 0)) <=> v124(constB53, 0)) | ((~v121(constB53, 1)) <=> v124(constB53, 1)))),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7822, 7818])).
% 14.69/9.84 tff(7824,plain,
% 14.69/9.84 ((((~v121(constB53, 2)) <=> v124(constB53, 2)) | ((~v121(constB53, 0)) <=> v124(constB53, 0)) | ((~v121(constB53, 1)) <=> v124(constB53, 1))) | (~((~v121(constB53, 0)) <=> v124(constB53, 0)))),
% 14.69/9.84 inference(tautology,[status(thm)],[])).
% 14.69/9.84 tff(7825,plain,
% 14.69/9.84 (~((~v121(constB53, 0)) <=> v124(constB53, 0))),
% 14.69/9.84 inference(unit_resolution,[status(thm)],[7824, 7823])).
% 14.69/9.85 tff(7826,plain,
% 14.69/9.85 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2))))))),
% 14.69/9.85 inference(rewrite,[status(thm)],[])).
% 14.69/9.85 tff(7827,plain,
% 14.69/9.85 ((v117(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 1) | (~v84(constB53, 2))))) <=> (v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))))),
% 14.69/9.85 inference(rewrite,[status(thm)],[])).
% 14.69/9.85 tff(7828,plain,
% 14.69/9.85 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 1) | (~v84(constB53, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2))))))),
% 14.69/9.85 inference(monotonicity,[status(thm)],[7827])).
% 14.69/9.85 tff(7829,plain,
% 14.69/9.85 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 1) | (~v84(constB53, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2))))))),
% 14.69/9.85 inference(transitivity,[status(thm)],[7828, 7826])).
% 14.69/9.85 tff(7830,plain,
% 14.69/9.85 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 0) | v84(constB53, 1) | (~v84(constB53, 2)))))),
% 14.69/9.85 inference(quant_inst,[status(thm)],[])).
% 14.69/9.85 tff(7831,plain,
% 14.69/9.85 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))))),
% 14.69/9.85 inference(modus_ponens,[status(thm)],[7830, 7829])).
% 14.69/9.85 tff(7832,plain,
% 14.69/9.85 (v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2))))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7831, 1199])).
% 14.69/9.85 tff(7833,plain,
% 14.69/9.85 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 14.69/9.85 inference(rewrite,[status(thm)],[])).
% 14.69/9.85 tff(7834,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_52')).
% 14.69/9.85 tff(7835,plain,
% 14.69/9.85 (nextState(constB52, constB53)),
% 14.69/9.85 inference(modus_ponens,[status(thm)],[7834, 7833])).
% 14.69/9.85 tff(7836,plain,
% 14.69/9.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB52, constB53)) | (v94(constB53) <=> (~((~v95(constB53)) | (~v104(constB53))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB52, constB53)) | (v94(constB53) <=> (~((~v95(constB53)) | (~v104(constB53))))))),
% 14.69/9.85 inference(rewrite,[status(thm)],[])).
% 14.69/9.85 tff(7837,plain,
% 14.69/9.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB52, constB53)) | (v94(constB53) <=> (~((~v95(constB53)) | (~v104(constB53))))))),
% 14.69/9.85 inference(quant_inst,[status(thm)],[])).
% 14.69/9.85 tff(7838,plain,
% 14.69/9.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB52, constB53)) | (v94(constB53) <=> (~((~v95(constB53)) | (~v104(constB53)))))),
% 14.69/9.85 inference(modus_ponens,[status(thm)],[7837, 7836])).
% 14.69/9.85 tff(7839,plain,
% 14.69/9.85 (v94(constB53) <=> (~((~v95(constB53)) | (~v104(constB53))))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7838, 7835, 770])).
% 14.69/9.85 tff(7840,plain,
% 14.69/9.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53))))))),
% 14.69/9.85 inference(rewrite,[status(thm)],[])).
% 14.69/9.85 tff(7841,plain,
% 14.69/9.85 (((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v96(constB53)) | (~v1(constB53)))))) <=> ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53))))))),
% 14.69/9.85 inference(rewrite,[status(thm)],[])).
% 14.69/9.85 tff(7842,plain,
% 14.69/9.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v96(constB53)) | (~v1(constB53))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53)))))))),
% 14.69/9.85 inference(monotonicity,[status(thm)],[7841])).
% 14.69/9.85 tff(7843,plain,
% 14.69/9.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v96(constB53)) | (~v1(constB53))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53))))))),
% 14.69/9.85 inference(transitivity,[status(thm)],[7842, 7840])).
% 14.69/9.85 tff(7844,plain,
% 14.69/9.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v96(constB53)) | (~v1(constB53))))))),
% 14.69/9.85 inference(quant_inst,[status(thm)],[])).
% 14.69/9.85 tff(7845,plain,
% 14.69/9.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53)))))),
% 14.69/9.85 inference(modus_ponens,[status(thm)],[7844, 7843])).
% 14.69/9.85 tff(7846,plain,
% 14.69/9.85 (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53))))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7845, 7835, 790])).
% 14.69/9.85 tff(7847,plain,
% 14.69/9.85 ((~v1(constB53)) <=> (~v1(constB53))),
% 14.69/9.85 inference(rewrite,[status(thm)],[])).
% 14.69/9.85 tff(7848,axiom,(~v1(constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_53')).
% 14.69/9.85 tff(7849,plain,
% 14.69/9.85 (~v1(constB53)),
% 14.69/9.85 inference(modus_ponens,[status(thm)],[7848, 7847])).
% 14.69/9.85 tff(7850,plain,
% 14.69/9.85 (((~v1(constB53)) | (~v96(constB53))) | v1(constB53)),
% 14.69/9.85 inference(tautology,[status(thm)],[])).
% 14.69/9.85 tff(7851,plain,
% 14.69/9.85 ((~v1(constB53)) | (~v96(constB53))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7850, 7849])).
% 14.69/9.85 tff(7852,plain,
% 14.69/9.85 ((~(v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53)))))) | (~v95(constB53)) | (~((~v1(constB53)) | (~v96(constB53))))),
% 14.69/9.85 inference(tautology,[status(thm)],[])).
% 14.69/9.85 tff(7853,plain,
% 14.69/9.85 ((~(v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53)))))) | (~v95(constB53))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7852, 7851])).
% 14.69/9.85 tff(7854,plain,
% 14.69/9.85 (~v95(constB53)),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7853, 7846])).
% 14.69/9.85 tff(7855,plain,
% 14.69/9.85 (((~v95(constB53)) | (~v104(constB53))) | v95(constB53)),
% 14.69/9.85 inference(tautology,[status(thm)],[])).
% 14.69/9.85 tff(7856,plain,
% 14.69/9.85 ((~v95(constB53)) | (~v104(constB53))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7855, 7854])).
% 14.69/9.85 tff(7857,plain,
% 14.69/9.85 ((~(v94(constB53) <=> (~((~v95(constB53)) | (~v104(constB53)))))) | (~v94(constB53)) | (~((~v95(constB53)) | (~v104(constB53))))),
% 14.69/9.85 inference(tautology,[status(thm)],[])).
% 14.69/9.85 tff(7858,plain,
% 14.69/9.85 (~v94(constB53)),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7857, 7856, 7839])).
% 14.69/9.85 tff(7859,plain,
% 14.69/9.85 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB53) | (~nextState(constB52, constB53)) | (~(((~v84(constB53, 1)) <=> v84(constB52, 1)) | ((~v84(constB53, 2)) <=> v84(constB52, 2)) | ((~v84(constB53, 0)) <=> v84(constB52, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB53) | (~nextState(constB52, constB53)) | (~(((~v84(constB53, 1)) <=> v84(constB52, 1)) | ((~v84(constB53, 2)) <=> v84(constB52, 2)) | ((~v84(constB53, 0)) <=> v84(constB52, 0)))))),
% 14.69/9.85 inference(rewrite,[status(thm)],[])).
% 14.69/9.85 tff(7860,plain,
% 14.69/9.85 ((v94(constB53) | (~nextState(constB52, constB53)) | (~(((~v84(constB53, 2)) <=> v84(constB52, 2)) | ((~v84(constB53, 1)) <=> v84(constB52, 1)) | ((~v84(constB53, 0)) <=> v84(constB52, 0))))) <=> (v94(constB53) | (~nextState(constB52, constB53)) | (~(((~v84(constB53, 1)) <=> v84(constB52, 1)) | ((~v84(constB53, 2)) <=> v84(constB52, 2)) | ((~v84(constB53, 0)) <=> v84(constB52, 0)))))),
% 14.69/9.85 inference(rewrite,[status(thm)],[])).
% 14.69/9.85 tff(7861,plain,
% 14.69/9.85 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB53) | (~nextState(constB52, constB53)) | (~(((~v84(constB53, 2)) <=> v84(constB52, 2)) | ((~v84(constB53, 1)) <=> v84(constB52, 1)) | ((~v84(constB53, 0)) <=> v84(constB52, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB53) | (~nextState(constB52, constB53)) | (~(((~v84(constB53, 1)) <=> v84(constB52, 1)) | ((~v84(constB53, 2)) <=> v84(constB52, 2)) | ((~v84(constB53, 0)) <=> v84(constB52, 0))))))),
% 14.69/9.85 inference(monotonicity,[status(thm)],[7860])).
% 14.69/9.85 tff(7862,plain,
% 14.69/9.85 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB53) | (~nextState(constB52, constB53)) | (~(((~v84(constB53, 2)) <=> v84(constB52, 2)) | ((~v84(constB53, 1)) <=> v84(constB52, 1)) | ((~v84(constB53, 0)) <=> v84(constB52, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB53) | (~nextState(constB52, constB53)) | (~(((~v84(constB53, 1)) <=> v84(constB52, 1)) | ((~v84(constB53, 2)) <=> v84(constB52, 2)) | ((~v84(constB53, 0)) <=> v84(constB52, 0)))))),
% 14.69/9.85 inference(transitivity,[status(thm)],[7861, 7859])).
% 14.69/9.85 tff(7863,plain,
% 14.69/9.85 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB53) | (~nextState(constB52, constB53)) | (~(((~v84(constB53, 2)) <=> v84(constB52, 2)) | ((~v84(constB53, 1)) <=> v84(constB52, 1)) | ((~v84(constB53, 0)) <=> v84(constB52, 0)))))),
% 14.69/9.85 inference(quant_inst,[status(thm)],[])).
% 14.69/9.85 tff(7864,plain,
% 14.69/9.85 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB53) | (~nextState(constB52, constB53)) | (~(((~v84(constB53, 1)) <=> v84(constB52, 1)) | ((~v84(constB53, 2)) <=> v84(constB52, 2)) | ((~v84(constB53, 0)) <=> v84(constB52, 0))))),
% 14.69/9.85 inference(modus_ponens,[status(thm)],[7863, 7862])).
% 14.69/9.85 tff(7865,plain,
% 14.69/9.85 (v94(constB53) | (~(((~v84(constB53, 1)) <=> v84(constB52, 1)) | ((~v84(constB53, 2)) <=> v84(constB52, 2)) | ((~v84(constB53, 0)) <=> v84(constB52, 0))))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7864, 7835, 819])).
% 14.69/9.85 tff(7866,plain,
% 14.69/9.85 (~(((~v84(constB53, 1)) <=> v84(constB52, 1)) | ((~v84(constB53, 2)) <=> v84(constB52, 2)) | ((~v84(constB53, 0)) <=> v84(constB52, 0)))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7865, 7858])).
% 14.69/9.85 tff(7867,plain,
% 14.69/9.85 ((((~v84(constB53, 1)) <=> v84(constB52, 1)) | ((~v84(constB53, 2)) <=> v84(constB52, 2)) | ((~v84(constB53, 0)) <=> v84(constB52, 0))) | (~((~v84(constB53, 2)) <=> v84(constB52, 2)))),
% 14.69/9.85 inference(tautology,[status(thm)],[])).
% 14.69/9.85 tff(7868,plain,
% 14.69/9.85 (~((~v84(constB53, 2)) <=> v84(constB52, 2))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7867, 7866])).
% 14.69/9.85 tff(7869,plain,
% 14.69/9.85 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 14.69/9.85 inference(rewrite,[status(thm)],[])).
% 14.69/9.85 tff(7870,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_51')).
% 14.69/9.85 tff(7871,plain,
% 14.69/9.85 (nextState(constB51, constB52)),
% 14.69/9.85 inference(modus_ponens,[status(thm)],[7870, 7869])).
% 14.69/9.85 tff(7872,plain,
% 14.69/9.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB51, constB52)) | (~(((~v123(constB52, 2)) <=> v121(constB51, 2)) | ((~v123(constB52, 1)) <=> v121(constB51, 1)) | ((~v123(constB52, 0)) <=> v121(constB51, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB51, constB52)) | (~(((~v123(constB52, 2)) <=> v121(constB51, 2)) | ((~v123(constB52, 1)) <=> v121(constB51, 1)) | ((~v123(constB52, 0)) <=> v121(constB51, 0)))))),
% 14.69/9.85 inference(rewrite,[status(thm)],[])).
% 14.69/9.85 tff(7873,plain,
% 14.69/9.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB51, constB52)) | (~(((~v123(constB52, 2)) <=> v121(constB51, 2)) | ((~v123(constB52, 1)) <=> v121(constB51, 1)) | ((~v123(constB52, 0)) <=> v121(constB51, 0)))))),
% 14.69/9.85 inference(quant_inst,[status(thm)],[])).
% 14.69/9.85 tff(7874,plain,
% 14.69/9.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB51, constB52)) | (~(((~v123(constB52, 2)) <=> v121(constB51, 2)) | ((~v123(constB52, 1)) <=> v121(constB51, 1)) | ((~v123(constB52, 0)) <=> v121(constB51, 0))))),
% 14.69/9.85 inference(modus_ponens,[status(thm)],[7873, 7872])).
% 14.69/9.85 tff(7875,plain,
% 14.69/9.85 (~(((~v123(constB52, 2)) <=> v121(constB51, 2)) | ((~v123(constB52, 1)) <=> v121(constB51, 1)) | ((~v123(constB52, 0)) <=> v121(constB51, 0)))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7874, 7871, 842])).
% 14.69/9.85 tff(7876,plain,
% 14.69/9.85 ((((~v123(constB52, 2)) <=> v121(constB51, 2)) | ((~v123(constB52, 1)) <=> v121(constB51, 1)) | ((~v123(constB52, 0)) <=> v121(constB51, 0))) | (~((~v123(constB52, 2)) <=> v121(constB51, 2)))),
% 14.69/9.85 inference(tautology,[status(thm)],[])).
% 14.69/9.85 tff(7877,plain,
% 14.69/9.85 (~((~v123(constB52, 2)) <=> v121(constB51, 2))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7876, 7875])).
% 14.69/9.85 tff(7878,plain,
% 14.69/9.85 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB51) <=> v26(constB51))),
% 14.69/9.85 inference(quant_inst,[status(thm)],[])).
% 14.69/9.85 tff(7879,plain,
% 14.69/9.85 (v105(constB51) <=> v26(constB51)),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7878, 861])).
% 14.69/9.85 tff(7880,plain,
% 14.69/9.85 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB51))),
% 14.69/9.85 inference(quant_inst,[status(thm)],[])).
% 14.69/9.85 tff(7881,plain,
% 14.69/9.85 (~v26(constB51)),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7880, 873])).
% 14.69/9.85 tff(7882,plain,
% 14.69/9.85 ((~(v105(constB51) <=> v26(constB51))) | (~v105(constB51)) | v26(constB51)),
% 14.69/9.85 inference(tautology,[status(thm)],[])).
% 14.69/9.85 tff(7883,plain,
% 14.69/9.85 ((~(v105(constB51) <=> v26(constB51))) | (~v105(constB51))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7882, 7881])).
% 14.69/9.85 tff(7884,plain,
% 14.69/9.85 (~v105(constB51)),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7883, 7879])).
% 14.69/9.85 tff(7885,plain,
% 14.69/9.85 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB51) | (~(((~v121(constB51, 2)) <=> v124(constB51, 2)) | ((~v121(constB51, 0)) <=> v124(constB51, 0)) | ((~v121(constB51, 1)) <=> v124(constB51, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB51) | (~(((~v121(constB51, 2)) <=> v124(constB51, 2)) | ((~v121(constB51, 0)) <=> v124(constB51, 0)) | ((~v121(constB51, 1)) <=> v124(constB51, 1)))))),
% 14.69/9.85 inference(rewrite,[status(thm)],[])).
% 14.69/9.85 tff(7886,plain,
% 14.69/9.85 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB51) | (~(((~v121(constB51, 2)) <=> v124(constB51, 2)) | ((~v121(constB51, 0)) <=> v124(constB51, 0)) | ((~v121(constB51, 1)) <=> v124(constB51, 1)))))),
% 14.69/9.85 inference(quant_inst,[status(thm)],[])).
% 14.69/9.85 tff(7887,plain,
% 14.69/9.85 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB51) | (~(((~v121(constB51, 2)) <=> v124(constB51, 2)) | ((~v121(constB51, 0)) <=> v124(constB51, 0)) | ((~v121(constB51, 1)) <=> v124(constB51, 1))))),
% 14.69/9.85 inference(modus_ponens,[status(thm)],[7886, 7885])).
% 14.69/9.85 tff(7888,plain,
% 14.69/9.85 (v105(constB51) | (~(((~v121(constB51, 2)) <=> v124(constB51, 2)) | ((~v121(constB51, 0)) <=> v124(constB51, 0)) | ((~v121(constB51, 1)) <=> v124(constB51, 1))))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7887, 891])).
% 14.69/9.85 tff(7889,plain,
% 14.69/9.85 (~(((~v121(constB51, 2)) <=> v124(constB51, 2)) | ((~v121(constB51, 0)) <=> v124(constB51, 0)) | ((~v121(constB51, 1)) <=> v124(constB51, 1)))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7888, 7884])).
% 14.69/9.85 tff(7890,plain,
% 14.69/9.85 ((((~v121(constB51, 2)) <=> v124(constB51, 2)) | ((~v121(constB51, 0)) <=> v124(constB51, 0)) | ((~v121(constB51, 1)) <=> v124(constB51, 1))) | (~((~v121(constB51, 2)) <=> v124(constB51, 2)))),
% 14.69/9.85 inference(tautology,[status(thm)],[])).
% 14.69/9.85 tff(7891,plain,
% 14.69/9.85 (~((~v121(constB51, 2)) <=> v124(constB51, 2))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7890, 7889])).
% 14.69/9.85 tff(7892,plain,
% 14.69/9.85 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB51) <=> (~(v84(constB51, 2) | (~v84(constB51, 1)) | (~v84(constB51, 0)))))),
% 14.69/9.85 inference(quant_inst,[status(thm)],[])).
% 14.69/9.85 tff(7893,plain,
% 14.69/9.85 (v116(constB51) <=> (~(v84(constB51, 2) | (~v84(constB51, 1)) | (~v84(constB51, 0))))),
% 14.69/9.85 inference(unit_resolution,[status(thm)],[7892, 911])).
% 14.69/9.85 tff(7894,plain,
% 14.69/9.85 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 14.69/9.85 inference(rewrite,[status(thm)],[])).
% 14.69/9.85 tff(7895,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_50')).
% 14.69/9.85 tff(7896,plain,
% 14.69/9.85 (nextState(constB50, constB51)),
% 14.69/9.85 inference(modus_ponens,[status(thm)],[7895, 7894])).
% 14.69/9.85 tff(7897,plain,
% 14.69/9.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB50, constB51)) | (v94(constB51) <=> (~((~v95(constB51)) | (~v104(constB51))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB50, constB51)) | (v94(constB51) <=> (~((~v95(constB51)) | (~v104(constB51))))))),
% 14.69/9.86 inference(rewrite,[status(thm)],[])).
% 14.69/9.86 tff(7898,plain,
% 14.69/9.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB50, constB51)) | (v94(constB51) <=> (~((~v95(constB51)) | (~v104(constB51))))))),
% 14.69/9.86 inference(quant_inst,[status(thm)],[])).
% 14.69/9.86 tff(7899,plain,
% 14.69/9.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB50, constB51)) | (v94(constB51) <=> (~((~v95(constB51)) | (~v104(constB51)))))),
% 14.69/9.86 inference(modus_ponens,[status(thm)],[7898, 7897])).
% 14.69/9.86 tff(7900,plain,
% 14.69/9.86 (v94(constB51) <=> (~((~v95(constB51)) | (~v104(constB51))))),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7899, 7896, 770])).
% 14.69/9.86 tff(7901,plain,
% 14.69/9.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51))))))),
% 14.69/9.86 inference(rewrite,[status(thm)],[])).
% 14.69/9.86 tff(7902,plain,
% 14.69/9.86 (((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v96(constB51)) | (~v1(constB51)))))) <=> ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51))))))),
% 14.69/9.86 inference(rewrite,[status(thm)],[])).
% 14.69/9.86 tff(7903,plain,
% 14.69/9.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v96(constB51)) | (~v1(constB51))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51)))))))),
% 14.69/9.86 inference(monotonicity,[status(thm)],[7902])).
% 14.69/9.86 tff(7904,plain,
% 14.69/9.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v96(constB51)) | (~v1(constB51))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51))))))),
% 14.69/9.86 inference(transitivity,[status(thm)],[7903, 7901])).
% 14.69/9.86 tff(7905,plain,
% 14.69/9.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v96(constB51)) | (~v1(constB51))))))),
% 14.69/9.86 inference(quant_inst,[status(thm)],[])).
% 14.69/9.86 tff(7906,plain,
% 14.69/9.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51)))))),
% 14.69/9.86 inference(modus_ponens,[status(thm)],[7905, 7904])).
% 14.69/9.86 tff(7907,plain,
% 14.69/9.86 (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51))))),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7906, 7896, 790])).
% 14.69/9.86 tff(7908,plain,
% 14.69/9.86 ((~v1(constB51)) <=> (~v1(constB51))),
% 14.69/9.86 inference(rewrite,[status(thm)],[])).
% 14.69/9.86 tff(7909,axiom,(~v1(constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_51')).
% 14.69/9.86 tff(7910,plain,
% 14.69/9.86 (~v1(constB51)),
% 14.69/9.86 inference(modus_ponens,[status(thm)],[7909, 7908])).
% 14.69/9.86 tff(7911,plain,
% 14.69/9.86 (((~v1(constB51)) | (~v96(constB51))) | v1(constB51)),
% 14.69/9.86 inference(tautology,[status(thm)],[])).
% 14.69/9.86 tff(7912,plain,
% 14.69/9.86 ((~v1(constB51)) | (~v96(constB51))),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7911, 7910])).
% 14.69/9.86 tff(7913,plain,
% 14.69/9.86 ((~(v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51)))))) | (~v95(constB51)) | (~((~v1(constB51)) | (~v96(constB51))))),
% 14.69/9.86 inference(tautology,[status(thm)],[])).
% 14.69/9.86 tff(7914,plain,
% 14.69/9.86 ((~(v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51)))))) | (~v95(constB51))),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7913, 7912])).
% 14.69/9.86 tff(7915,plain,
% 14.69/9.86 (~v95(constB51)),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7914, 7907])).
% 14.69/9.86 tff(7916,plain,
% 14.69/9.86 (((~v95(constB51)) | (~v104(constB51))) | v95(constB51)),
% 14.69/9.86 inference(tautology,[status(thm)],[])).
% 14.69/9.86 tff(7917,plain,
% 14.69/9.86 ((~v95(constB51)) | (~v104(constB51))),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7916, 7915])).
% 14.69/9.86 tff(7918,plain,
% 14.69/9.86 ((~(v94(constB51) <=> (~((~v95(constB51)) | (~v104(constB51)))))) | (~v94(constB51)) | (~((~v95(constB51)) | (~v104(constB51))))),
% 14.69/9.86 inference(tautology,[status(thm)],[])).
% 14.69/9.86 tff(7919,plain,
% 14.69/9.86 (~v94(constB51)),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7918, 7917, 7900])).
% 14.69/9.86 tff(7920,plain,
% 14.69/9.86 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB51) | (~nextState(constB50, constB51)) | (~(((~v84(constB51, 1)) <=> v84(constB50, 1)) | ((~v84(constB51, 2)) <=> v84(constB50, 2)) | ((~v84(constB51, 0)) <=> v84(constB50, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB51) | (~nextState(constB50, constB51)) | (~(((~v84(constB51, 1)) <=> v84(constB50, 1)) | ((~v84(constB51, 2)) <=> v84(constB50, 2)) | ((~v84(constB51, 0)) <=> v84(constB50, 0)))))),
% 14.69/9.86 inference(rewrite,[status(thm)],[])).
% 14.69/9.86 tff(7921,plain,
% 14.69/9.86 ((v94(constB51) | (~nextState(constB50, constB51)) | (~(((~v84(constB51, 2)) <=> v84(constB50, 2)) | ((~v84(constB51, 1)) <=> v84(constB50, 1)) | ((~v84(constB51, 0)) <=> v84(constB50, 0))))) <=> (v94(constB51) | (~nextState(constB50, constB51)) | (~(((~v84(constB51, 1)) <=> v84(constB50, 1)) | ((~v84(constB51, 2)) <=> v84(constB50, 2)) | ((~v84(constB51, 0)) <=> v84(constB50, 0)))))),
% 14.69/9.86 inference(rewrite,[status(thm)],[])).
% 14.69/9.86 tff(7922,plain,
% 14.69/9.86 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB51) | (~nextState(constB50, constB51)) | (~(((~v84(constB51, 2)) <=> v84(constB50, 2)) | ((~v84(constB51, 1)) <=> v84(constB50, 1)) | ((~v84(constB51, 0)) <=> v84(constB50, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB51) | (~nextState(constB50, constB51)) | (~(((~v84(constB51, 1)) <=> v84(constB50, 1)) | ((~v84(constB51, 2)) <=> v84(constB50, 2)) | ((~v84(constB51, 0)) <=> v84(constB50, 0))))))),
% 14.69/9.86 inference(monotonicity,[status(thm)],[7921])).
% 14.69/9.86 tff(7923,plain,
% 14.69/9.86 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB51) | (~nextState(constB50, constB51)) | (~(((~v84(constB51, 2)) <=> v84(constB50, 2)) | ((~v84(constB51, 1)) <=> v84(constB50, 1)) | ((~v84(constB51, 0)) <=> v84(constB50, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB51) | (~nextState(constB50, constB51)) | (~(((~v84(constB51, 1)) <=> v84(constB50, 1)) | ((~v84(constB51, 2)) <=> v84(constB50, 2)) | ((~v84(constB51, 0)) <=> v84(constB50, 0)))))),
% 14.69/9.86 inference(transitivity,[status(thm)],[7922, 7920])).
% 14.69/9.86 tff(7924,plain,
% 14.69/9.86 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB51) | (~nextState(constB50, constB51)) | (~(((~v84(constB51, 2)) <=> v84(constB50, 2)) | ((~v84(constB51, 1)) <=> v84(constB50, 1)) | ((~v84(constB51, 0)) <=> v84(constB50, 0)))))),
% 14.69/9.86 inference(quant_inst,[status(thm)],[])).
% 14.69/9.86 tff(7925,plain,
% 14.69/9.86 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB51) | (~nextState(constB50, constB51)) | (~(((~v84(constB51, 1)) <=> v84(constB50, 1)) | ((~v84(constB51, 2)) <=> v84(constB50, 2)) | ((~v84(constB51, 0)) <=> v84(constB50, 0))))),
% 14.69/9.86 inference(modus_ponens,[status(thm)],[7924, 7923])).
% 14.69/9.86 tff(7926,plain,
% 14.69/9.86 (v94(constB51) | (~(((~v84(constB51, 1)) <=> v84(constB50, 1)) | ((~v84(constB51, 2)) <=> v84(constB50, 2)) | ((~v84(constB51, 0)) <=> v84(constB50, 0))))),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7925, 7896, 819])).
% 14.69/9.86 tff(7927,plain,
% 14.69/9.86 (~(((~v84(constB51, 1)) <=> v84(constB50, 1)) | ((~v84(constB51, 2)) <=> v84(constB50, 2)) | ((~v84(constB51, 0)) <=> v84(constB50, 0)))),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7926, 7919])).
% 14.69/9.86 tff(7928,plain,
% 14.69/9.86 ((((~v84(constB51, 1)) <=> v84(constB50, 1)) | ((~v84(constB51, 2)) <=> v84(constB50, 2)) | ((~v84(constB51, 0)) <=> v84(constB50, 0))) | (~((~v84(constB51, 2)) <=> v84(constB50, 2)))),
% 14.69/9.86 inference(tautology,[status(thm)],[])).
% 14.69/9.86 tff(7929,plain,
% 14.69/9.86 (~((~v84(constB51, 2)) <=> v84(constB50, 2))),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7928, 7927])).
% 14.69/9.86 tff(7930,plain,
% 14.69/9.86 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 14.69/9.86 inference(rewrite,[status(thm)],[])).
% 14.69/9.86 tff(7931,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_49')).
% 14.69/9.86 tff(7932,plain,
% 14.69/9.86 (nextState(constB49, constB50)),
% 14.69/9.86 inference(modus_ponens,[status(thm)],[7931, 7930])).
% 14.69/9.86 tff(7933,plain,
% 14.69/9.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB49, constB50)) | (~(((~v123(constB50, 2)) <=> v121(constB49, 2)) | ((~v123(constB50, 1)) <=> v121(constB49, 1)) | ((~v123(constB50, 0)) <=> v121(constB49, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB49, constB50)) | (~(((~v123(constB50, 2)) <=> v121(constB49, 2)) | ((~v123(constB50, 1)) <=> v121(constB49, 1)) | ((~v123(constB50, 0)) <=> v121(constB49, 0)))))),
% 14.69/9.86 inference(rewrite,[status(thm)],[])).
% 14.69/9.86 tff(7934,plain,
% 14.69/9.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB49, constB50)) | (~(((~v123(constB50, 2)) <=> v121(constB49, 2)) | ((~v123(constB50, 1)) <=> v121(constB49, 1)) | ((~v123(constB50, 0)) <=> v121(constB49, 0)))))),
% 14.69/9.86 inference(quant_inst,[status(thm)],[])).
% 14.69/9.86 tff(7935,plain,
% 14.69/9.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB49, constB50)) | (~(((~v123(constB50, 2)) <=> v121(constB49, 2)) | ((~v123(constB50, 1)) <=> v121(constB49, 1)) | ((~v123(constB50, 0)) <=> v121(constB49, 0))))),
% 14.69/9.86 inference(modus_ponens,[status(thm)],[7934, 7933])).
% 14.69/9.86 tff(7936,plain,
% 14.69/9.86 (~(((~v123(constB50, 2)) <=> v121(constB49, 2)) | ((~v123(constB50, 1)) <=> v121(constB49, 1)) | ((~v123(constB50, 0)) <=> v121(constB49, 0)))),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7935, 7932, 842])).
% 14.69/9.86 tff(7937,plain,
% 14.69/9.86 ((((~v123(constB50, 2)) <=> v121(constB49, 2)) | ((~v123(constB50, 1)) <=> v121(constB49, 1)) | ((~v123(constB50, 0)) <=> v121(constB49, 0))) | (~((~v123(constB50, 2)) <=> v121(constB49, 2)))),
% 14.69/9.86 inference(tautology,[status(thm)],[])).
% 14.69/9.86 tff(7938,plain,
% 14.69/9.86 (~((~v123(constB50, 2)) <=> v121(constB49, 2))),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7937, 7936])).
% 14.69/9.86 tff(7939,plain,
% 14.69/9.86 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB49) <=> v26(constB49))),
% 14.69/9.86 inference(quant_inst,[status(thm)],[])).
% 14.69/9.86 tff(7940,plain,
% 14.69/9.86 (v105(constB49) <=> v26(constB49)),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7939, 861])).
% 14.69/9.86 tff(7941,plain,
% 14.69/9.86 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB49))),
% 14.69/9.86 inference(quant_inst,[status(thm)],[])).
% 14.69/9.86 tff(7942,plain,
% 14.69/9.86 (~v26(constB49)),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7941, 873])).
% 14.69/9.86 tff(7943,plain,
% 14.69/9.86 ((~(v105(constB49) <=> v26(constB49))) | (~v105(constB49)) | v26(constB49)),
% 14.69/9.86 inference(tautology,[status(thm)],[])).
% 14.69/9.86 tff(7944,plain,
% 14.69/9.86 ((~(v105(constB49) <=> v26(constB49))) | (~v105(constB49))),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7943, 7942])).
% 14.69/9.86 tff(7945,plain,
% 14.69/9.86 (~v105(constB49)),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7944, 7940])).
% 14.69/9.86 tff(7946,plain,
% 14.69/9.86 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB49) | (~(((~v121(constB49, 2)) <=> v124(constB49, 2)) | ((~v121(constB49, 0)) <=> v124(constB49, 0)) | ((~v121(constB49, 1)) <=> v124(constB49, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB49) | (~(((~v121(constB49, 2)) <=> v124(constB49, 2)) | ((~v121(constB49, 0)) <=> v124(constB49, 0)) | ((~v121(constB49, 1)) <=> v124(constB49, 1)))))),
% 14.69/9.86 inference(rewrite,[status(thm)],[])).
% 14.69/9.86 tff(7947,plain,
% 14.69/9.86 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB49) | (~(((~v121(constB49, 2)) <=> v124(constB49, 2)) | ((~v121(constB49, 0)) <=> v124(constB49, 0)) | ((~v121(constB49, 1)) <=> v124(constB49, 1)))))),
% 14.69/9.86 inference(quant_inst,[status(thm)],[])).
% 14.69/9.86 tff(7948,plain,
% 14.69/9.86 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB49) | (~(((~v121(constB49, 2)) <=> v124(constB49, 2)) | ((~v121(constB49, 0)) <=> v124(constB49, 0)) | ((~v121(constB49, 1)) <=> v124(constB49, 1))))),
% 14.69/9.86 inference(modus_ponens,[status(thm)],[7947, 7946])).
% 14.69/9.86 tff(7949,plain,
% 14.69/9.86 (v105(constB49) | (~(((~v121(constB49, 2)) <=> v124(constB49, 2)) | ((~v121(constB49, 0)) <=> v124(constB49, 0)) | ((~v121(constB49, 1)) <=> v124(constB49, 1))))),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7948, 891])).
% 14.69/9.86 tff(7950,plain,
% 14.69/9.86 (~(((~v121(constB49, 2)) <=> v124(constB49, 2)) | ((~v121(constB49, 0)) <=> v124(constB49, 0)) | ((~v121(constB49, 1)) <=> v124(constB49, 1)))),
% 14.69/9.86 inference(unit_resolution,[status(thm)],[7949, 7945])).
% 14.69/9.86 tff(7951,plain,
% 14.69/9.86 ((((~v121(constB49, 2)) <=> v124(constB49, 2)) | ((~v121(constB49, 0)) <=> v124(constB49, 0)) | ((~v121(constB49, 1)) <=> v124(constB49, 1))) | (~((~v121(constB49, 2)) <=> v124(constB49, 2)))),
% 14.69/9.87 inference(tautology,[status(thm)],[])).
% 14.69/9.87 tff(7952,plain,
% 14.69/9.87 (~((~v121(constB49, 2)) <=> v124(constB49, 2))),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[7951, 7950])).
% 14.69/9.87 tff(7953,plain,
% 14.69/9.87 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1))))))),
% 14.69/9.87 inference(rewrite,[status(thm)],[])).
% 14.69/9.87 tff(7954,plain,
% 14.69/9.87 ((v115(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 2) | (~v84(constB49, 1))))) <=> (v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))))),
% 14.69/9.87 inference(rewrite,[status(thm)],[])).
% 14.69/9.87 tff(7955,plain,
% 14.69/9.87 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 2) | (~v84(constB49, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1))))))),
% 14.69/9.87 inference(monotonicity,[status(thm)],[7954])).
% 14.69/9.87 tff(7956,plain,
% 14.69/9.87 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 2) | (~v84(constB49, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1))))))),
% 14.69/9.87 inference(transitivity,[status(thm)],[7955, 7953])).
% 14.69/9.87 tff(7957,plain,
% 14.69/9.87 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 0) | v84(constB49, 2) | (~v84(constB49, 1)))))),
% 14.69/9.87 inference(quant_inst,[status(thm)],[])).
% 14.69/9.87 tff(7958,plain,
% 14.69/9.87 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))))),
% 14.69/9.87 inference(modus_ponens,[status(thm)],[7957, 7956])).
% 14.69/9.87 tff(7959,plain,
% 14.69/9.87 (v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1))))),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[7958, 985])).
% 14.69/9.87 tff(7960,plain,
% 14.69/9.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB48, constB49)) | (v94(constB49) <=> (~((~v95(constB49)) | (~v104(constB49))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB48, constB49)) | (v94(constB49) <=> (~((~v95(constB49)) | (~v104(constB49))))))),
% 14.69/9.87 inference(rewrite,[status(thm)],[])).
% 14.69/9.87 tff(7961,plain,
% 14.69/9.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB48, constB49)) | (v94(constB49) <=> (~((~v95(constB49)) | (~v104(constB49))))))),
% 14.69/9.87 inference(quant_inst,[status(thm)],[])).
% 14.69/9.87 tff(7962,plain,
% 14.69/9.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB48, constB49)) | (v94(constB49) <=> (~((~v95(constB49)) | (~v104(constB49)))))),
% 14.69/9.87 inference(modus_ponens,[status(thm)],[7961, 7960])).
% 14.69/9.87 tff(7963,plain,
% 14.69/9.87 (v94(constB49) <=> (~((~v95(constB49)) | (~v104(constB49))))),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[7962, 73, 770])).
% 14.69/9.87 tff(7964,plain,
% 14.69/9.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49))))))),
% 14.69/9.87 inference(rewrite,[status(thm)],[])).
% 14.69/9.87 tff(7965,plain,
% 14.69/9.87 (((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v96(constB49)) | (~v1(constB49)))))) <=> ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49))))))),
% 14.69/9.87 inference(rewrite,[status(thm)],[])).
% 14.69/9.87 tff(7966,plain,
% 14.69/9.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v96(constB49)) | (~v1(constB49))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49)))))))),
% 14.69/9.87 inference(monotonicity,[status(thm)],[7965])).
% 14.69/9.87 tff(7967,plain,
% 14.69/9.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v96(constB49)) | (~v1(constB49))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49))))))),
% 14.69/9.87 inference(transitivity,[status(thm)],[7966, 7964])).
% 14.69/9.87 tff(7968,plain,
% 14.69/9.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v96(constB49)) | (~v1(constB49))))))),
% 14.69/9.87 inference(quant_inst,[status(thm)],[])).
% 14.69/9.87 tff(7969,plain,
% 14.69/9.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49)))))),
% 14.69/9.87 inference(modus_ponens,[status(thm)],[7968, 7967])).
% 14.69/9.87 tff(7970,plain,
% 14.69/9.87 (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49))))),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[7969, 73, 790])).
% 14.69/9.87 tff(7971,plain,
% 14.69/9.87 ((~v1(constB49)) <=> (~v1(constB49))),
% 14.69/9.87 inference(rewrite,[status(thm)],[])).
% 14.69/9.87 tff(7972,axiom,(~v1(constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_49')).
% 14.69/9.87 tff(7973,plain,
% 14.69/9.87 (~v1(constB49)),
% 14.69/9.87 inference(modus_ponens,[status(thm)],[7972, 7971])).
% 14.69/9.87 tff(7974,plain,
% 14.69/9.87 (((~v1(constB49)) | (~v96(constB49))) | v1(constB49)),
% 14.69/9.87 inference(tautology,[status(thm)],[])).
% 14.69/9.87 tff(7975,plain,
% 14.69/9.87 ((~v1(constB49)) | (~v96(constB49))),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[7974, 7973])).
% 14.69/9.87 tff(7976,plain,
% 14.69/9.87 ((~(v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49)))))) | (~v95(constB49)) | (~((~v1(constB49)) | (~v96(constB49))))),
% 14.69/9.87 inference(tautology,[status(thm)],[])).
% 14.69/9.87 tff(7977,plain,
% 14.69/9.87 ((~(v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49)))))) | (~v95(constB49))),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[7976, 7975])).
% 14.69/9.87 tff(7978,plain,
% 14.69/9.87 (~v95(constB49)),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[7977, 7970])).
% 14.69/9.87 tff(7979,plain,
% 14.69/9.87 (((~v95(constB49)) | (~v104(constB49))) | v95(constB49)),
% 14.69/9.87 inference(tautology,[status(thm)],[])).
% 14.69/9.87 tff(7980,plain,
% 14.69/9.87 ((~v95(constB49)) | (~v104(constB49))),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[7979, 7978])).
% 14.69/9.87 tff(7981,plain,
% 14.69/9.87 ((~(v94(constB49) <=> (~((~v95(constB49)) | (~v104(constB49)))))) | (~v94(constB49)) | (~((~v95(constB49)) | (~v104(constB49))))),
% 14.69/9.87 inference(tautology,[status(thm)],[])).
% 14.69/9.87 tff(7982,plain,
% 14.69/9.87 (~v94(constB49)),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[7981, 7980, 7963])).
% 14.69/9.87 tff(7983,plain,
% 14.69/9.87 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB49) | (~nextState(constB48, constB49)) | (~(((~v84(constB49, 1)) <=> v84(constB48, 1)) | ((~v84(constB49, 2)) <=> v84(constB48, 2)) | ((~v84(constB49, 0)) <=> v84(constB48, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB49) | (~nextState(constB48, constB49)) | (~(((~v84(constB49, 1)) <=> v84(constB48, 1)) | ((~v84(constB49, 2)) <=> v84(constB48, 2)) | ((~v84(constB49, 0)) <=> v84(constB48, 0)))))),
% 14.69/9.87 inference(rewrite,[status(thm)],[])).
% 14.69/9.87 tff(7984,plain,
% 14.69/9.87 ((v94(constB49) | (~nextState(constB48, constB49)) | (~(((~v84(constB49, 2)) <=> v84(constB48, 2)) | ((~v84(constB49, 1)) <=> v84(constB48, 1)) | ((~v84(constB49, 0)) <=> v84(constB48, 0))))) <=> (v94(constB49) | (~nextState(constB48, constB49)) | (~(((~v84(constB49, 1)) <=> v84(constB48, 1)) | ((~v84(constB49, 2)) <=> v84(constB48, 2)) | ((~v84(constB49, 0)) <=> v84(constB48, 0)))))),
% 14.69/9.87 inference(rewrite,[status(thm)],[])).
% 14.69/9.87 tff(7985,plain,
% 14.69/9.87 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB49) | (~nextState(constB48, constB49)) | (~(((~v84(constB49, 2)) <=> v84(constB48, 2)) | ((~v84(constB49, 1)) <=> v84(constB48, 1)) | ((~v84(constB49, 0)) <=> v84(constB48, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB49) | (~nextState(constB48, constB49)) | (~(((~v84(constB49, 1)) <=> v84(constB48, 1)) | ((~v84(constB49, 2)) <=> v84(constB48, 2)) | ((~v84(constB49, 0)) <=> v84(constB48, 0))))))),
% 14.69/9.87 inference(monotonicity,[status(thm)],[7984])).
% 14.69/9.87 tff(7986,plain,
% 14.69/9.87 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB49) | (~nextState(constB48, constB49)) | (~(((~v84(constB49, 2)) <=> v84(constB48, 2)) | ((~v84(constB49, 1)) <=> v84(constB48, 1)) | ((~v84(constB49, 0)) <=> v84(constB48, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB49) | (~nextState(constB48, constB49)) | (~(((~v84(constB49, 1)) <=> v84(constB48, 1)) | ((~v84(constB49, 2)) <=> v84(constB48, 2)) | ((~v84(constB49, 0)) <=> v84(constB48, 0)))))),
% 14.69/9.87 inference(transitivity,[status(thm)],[7985, 7983])).
% 14.69/9.87 tff(7987,plain,
% 14.69/9.87 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB49) | (~nextState(constB48, constB49)) | (~(((~v84(constB49, 2)) <=> v84(constB48, 2)) | ((~v84(constB49, 1)) <=> v84(constB48, 1)) | ((~v84(constB49, 0)) <=> v84(constB48, 0)))))),
% 14.69/9.87 inference(quant_inst,[status(thm)],[])).
% 14.69/9.87 tff(7988,plain,
% 14.69/9.87 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB49) | (~nextState(constB48, constB49)) | (~(((~v84(constB49, 1)) <=> v84(constB48, 1)) | ((~v84(constB49, 2)) <=> v84(constB48, 2)) | ((~v84(constB49, 0)) <=> v84(constB48, 0))))),
% 14.69/9.87 inference(modus_ponens,[status(thm)],[7987, 7986])).
% 14.69/9.87 tff(7989,plain,
% 14.69/9.87 (v94(constB49) | (~(((~v84(constB49, 1)) <=> v84(constB48, 1)) | ((~v84(constB49, 2)) <=> v84(constB48, 2)) | ((~v84(constB49, 0)) <=> v84(constB48, 0))))),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[7988, 73, 819])).
% 14.69/9.87 tff(7990,plain,
% 14.69/9.87 (~(((~v84(constB49, 1)) <=> v84(constB48, 1)) | ((~v84(constB49, 2)) <=> v84(constB48, 2)) | ((~v84(constB49, 0)) <=> v84(constB48, 0)))),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[7989, 7982])).
% 14.69/9.87 tff(7991,plain,
% 14.69/9.87 ((((~v84(constB49, 1)) <=> v84(constB48, 1)) | ((~v84(constB49, 2)) <=> v84(constB48, 2)) | ((~v84(constB49, 0)) <=> v84(constB48, 0))) | (~((~v84(constB49, 2)) <=> v84(constB48, 2)))),
% 14.69/9.87 inference(tautology,[status(thm)],[])).
% 14.69/9.87 tff(7992,plain,
% 14.69/9.87 (~((~v84(constB49, 2)) <=> v84(constB48, 2))),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[7991, 7990])).
% 14.69/9.87 tff(7993,plain,
% 14.69/9.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB47, constB48)) | (~(((~v123(constB48, 2)) <=> v121(constB47, 2)) | ((~v123(constB48, 1)) <=> v121(constB47, 1)) | ((~v123(constB48, 0)) <=> v121(constB47, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB47, constB48)) | (~(((~v123(constB48, 2)) <=> v121(constB47, 2)) | ((~v123(constB48, 1)) <=> v121(constB47, 1)) | ((~v123(constB48, 0)) <=> v121(constB47, 0)))))),
% 14.69/9.87 inference(rewrite,[status(thm)],[])).
% 14.69/9.87 tff(7994,plain,
% 14.69/9.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB47, constB48)) | (~(((~v123(constB48, 2)) <=> v121(constB47, 2)) | ((~v123(constB48, 1)) <=> v121(constB47, 1)) | ((~v123(constB48, 0)) <=> v121(constB47, 0)))))),
% 14.69/9.87 inference(quant_inst,[status(thm)],[])).
% 14.69/9.87 tff(7995,plain,
% 14.69/9.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB47, constB48)) | (~(((~v123(constB48, 2)) <=> v121(constB47, 2)) | ((~v123(constB48, 1)) <=> v121(constB47, 1)) | ((~v123(constB48, 0)) <=> v121(constB47, 0))))),
% 14.69/9.87 inference(modus_ponens,[status(thm)],[7994, 7993])).
% 14.69/9.87 tff(7996,plain,
% 14.69/9.87 (~(((~v123(constB48, 2)) <=> v121(constB47, 2)) | ((~v123(constB48, 1)) <=> v121(constB47, 1)) | ((~v123(constB48, 0)) <=> v121(constB47, 0)))),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[7995, 183, 842])).
% 14.69/9.87 tff(7997,plain,
% 14.69/9.87 ((((~v123(constB48, 2)) <=> v121(constB47, 2)) | ((~v123(constB48, 1)) <=> v121(constB47, 1)) | ((~v123(constB48, 0)) <=> v121(constB47, 0))) | (~((~v123(constB48, 2)) <=> v121(constB47, 2)))),
% 14.69/9.87 inference(tautology,[status(thm)],[])).
% 14.69/9.87 tff(7998,plain,
% 14.69/9.87 (~((~v123(constB48, 2)) <=> v121(constB47, 2))),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[7997, 7996])).
% 14.69/9.87 tff(7999,plain,
% 14.69/9.87 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB47) <=> v26(constB47))),
% 14.69/9.87 inference(quant_inst,[status(thm)],[])).
% 14.69/9.87 tff(8000,plain,
% 14.69/9.87 (v105(constB47) <=> v26(constB47)),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[7999, 861])).
% 14.69/9.87 tff(8001,plain,
% 14.69/9.87 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB47))),
% 14.69/9.87 inference(quant_inst,[status(thm)],[])).
% 14.69/9.87 tff(8002,plain,
% 14.69/9.87 (~v26(constB47)),
% 14.69/9.87 inference(unit_resolution,[status(thm)],[8001, 873])).
% 14.69/9.87 tff(8003,plain,
% 14.69/9.87 ((~(v105(constB47) <=> v26(constB47))) | (~v105(constB47)) | v26(constB47)),
% 14.69/9.88 inference(tautology,[status(thm)],[])).
% 14.69/9.88 tff(8004,plain,
% 14.69/9.88 ((~(v105(constB47) <=> v26(constB47))) | (~v105(constB47))),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8003, 8002])).
% 14.69/9.88 tff(8005,plain,
% 14.69/9.88 (~v105(constB47)),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8004, 8000])).
% 14.69/9.88 tff(8006,plain,
% 14.69/9.88 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB47) | (~(((~v121(constB47, 2)) <=> v124(constB47, 2)) | ((~v121(constB47, 0)) <=> v124(constB47, 0)) | ((~v121(constB47, 1)) <=> v124(constB47, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB47) | (~(((~v121(constB47, 2)) <=> v124(constB47, 2)) | ((~v121(constB47, 0)) <=> v124(constB47, 0)) | ((~v121(constB47, 1)) <=> v124(constB47, 1)))))),
% 14.69/9.88 inference(rewrite,[status(thm)],[])).
% 14.69/9.88 tff(8007,plain,
% 14.69/9.88 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB47) | (~(((~v121(constB47, 2)) <=> v124(constB47, 2)) | ((~v121(constB47, 0)) <=> v124(constB47, 0)) | ((~v121(constB47, 1)) <=> v124(constB47, 1)))))),
% 14.69/9.88 inference(quant_inst,[status(thm)],[])).
% 14.69/9.88 tff(8008,plain,
% 14.69/9.88 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB47) | (~(((~v121(constB47, 2)) <=> v124(constB47, 2)) | ((~v121(constB47, 0)) <=> v124(constB47, 0)) | ((~v121(constB47, 1)) <=> v124(constB47, 1))))),
% 14.69/9.88 inference(modus_ponens,[status(thm)],[8007, 8006])).
% 14.69/9.88 tff(8009,plain,
% 14.69/9.88 (v105(constB47) | (~(((~v121(constB47, 2)) <=> v124(constB47, 2)) | ((~v121(constB47, 0)) <=> v124(constB47, 0)) | ((~v121(constB47, 1)) <=> v124(constB47, 1))))),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8008, 891])).
% 14.69/9.88 tff(8010,plain,
% 14.69/9.88 (~(((~v121(constB47, 2)) <=> v124(constB47, 2)) | ((~v121(constB47, 0)) <=> v124(constB47, 0)) | ((~v121(constB47, 1)) <=> v124(constB47, 1)))),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8009, 8005])).
% 14.69/9.88 tff(8011,plain,
% 14.69/9.88 ((((~v121(constB47, 2)) <=> v124(constB47, 2)) | ((~v121(constB47, 0)) <=> v124(constB47, 0)) | ((~v121(constB47, 1)) <=> v124(constB47, 1))) | (~((~v121(constB47, 2)) <=> v124(constB47, 2)))),
% 14.69/9.88 inference(tautology,[status(thm)],[])).
% 14.69/9.88 tff(8012,plain,
% 14.69/9.88 (~((~v121(constB47, 2)) <=> v124(constB47, 2))),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8011, 8010])).
% 14.69/9.88 tff(8013,plain,
% 14.69/9.88 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB47) <=> (~(v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0)))))),
% 14.69/9.88 inference(quant_inst,[status(thm)],[])).
% 14.69/9.88 tff(8014,plain,
% 14.69/9.88 (v114(constB47) <=> (~(v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0))))),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8013, 1064])).
% 14.69/9.88 tff(8015,plain,
% 14.69/9.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB46, constB47)) | (v94(constB47) <=> (~((~v95(constB47)) | (~v104(constB47))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB46, constB47)) | (v94(constB47) <=> (~((~v95(constB47)) | (~v104(constB47))))))),
% 14.69/9.88 inference(rewrite,[status(thm)],[])).
% 14.69/9.88 tff(8016,plain,
% 14.69/9.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB46, constB47)) | (v94(constB47) <=> (~((~v95(constB47)) | (~v104(constB47))))))),
% 14.69/9.88 inference(quant_inst,[status(thm)],[])).
% 14.69/9.88 tff(8017,plain,
% 14.69/9.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB46, constB47)) | (v94(constB47) <=> (~((~v95(constB47)) | (~v104(constB47)))))),
% 14.69/9.88 inference(modus_ponens,[status(thm)],[8016, 8015])).
% 14.69/9.88 tff(8018,plain,
% 14.69/9.88 (v94(constB47) <=> (~((~v95(constB47)) | (~v104(constB47))))),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8017, 376, 770])).
% 14.69/9.88 tff(8019,plain,
% 14.69/9.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47))))))),
% 14.69/9.88 inference(rewrite,[status(thm)],[])).
% 14.69/9.88 tff(8020,plain,
% 14.69/9.88 (((~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v96(constB47)) | (~v1(constB47)))))) <=> ((~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47))))))),
% 14.69/9.88 inference(rewrite,[status(thm)],[])).
% 14.69/9.88 tff(8021,plain,
% 14.69/9.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v96(constB47)) | (~v1(constB47))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47)))))))),
% 14.69/9.88 inference(monotonicity,[status(thm)],[8020])).
% 14.69/9.88 tff(8022,plain,
% 14.69/9.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v96(constB47)) | (~v1(constB47))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47))))))),
% 14.69/9.88 inference(transitivity,[status(thm)],[8021, 8019])).
% 14.69/9.88 tff(8023,plain,
% 14.69/9.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v96(constB47)) | (~v1(constB47))))))),
% 14.69/9.88 inference(quant_inst,[status(thm)],[])).
% 14.69/9.88 tff(8024,plain,
% 14.69/9.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47)))))),
% 14.69/9.88 inference(modus_ponens,[status(thm)],[8023, 8022])).
% 14.69/9.88 tff(8025,plain,
% 14.69/9.88 (v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47))))),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8024, 376, 790])).
% 14.69/9.88 tff(8026,plain,
% 14.69/9.88 (((~v1(constB47)) | (~v96(constB47))) | v1(constB47)),
% 14.69/9.88 inference(tautology,[status(thm)],[])).
% 14.69/9.88 tff(8027,plain,
% 14.69/9.88 ((~v1(constB47)) | (~v96(constB47))),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8026, 326])).
% 14.69/9.88 tff(8028,plain,
% 14.69/9.88 ((~(v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47)))))) | (~v95(constB47)) | (~((~v1(constB47)) | (~v96(constB47))))),
% 14.69/9.88 inference(tautology,[status(thm)],[])).
% 14.69/9.88 tff(8029,plain,
% 14.69/9.88 ((~(v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47)))))) | (~v95(constB47))),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8028, 8027])).
% 14.69/9.88 tff(8030,plain,
% 14.69/9.88 (~v95(constB47)),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8029, 8025])).
% 14.69/9.88 tff(8031,plain,
% 14.69/9.88 (((~v95(constB47)) | (~v104(constB47))) | v95(constB47)),
% 14.69/9.88 inference(tautology,[status(thm)],[])).
% 14.69/9.88 tff(8032,plain,
% 14.69/9.88 ((~v95(constB47)) | (~v104(constB47))),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8031, 8030])).
% 14.69/9.88 tff(8033,plain,
% 14.69/9.88 ((~(v94(constB47) <=> (~((~v95(constB47)) | (~v104(constB47)))))) | (~v94(constB47)) | (~((~v95(constB47)) | (~v104(constB47))))),
% 14.69/9.88 inference(tautology,[status(thm)],[])).
% 14.69/9.88 tff(8034,plain,
% 14.69/9.88 (~v94(constB47)),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8033, 8032, 8018])).
% 14.69/9.88 tff(8035,plain,
% 14.69/9.88 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB47) | (~nextState(constB46, constB47)) | (~(((~v84(constB47, 1)) <=> v84(constB46, 1)) | ((~v84(constB47, 2)) <=> v84(constB46, 2)) | ((~v84(constB47, 0)) <=> v84(constB46, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB47) | (~nextState(constB46, constB47)) | (~(((~v84(constB47, 1)) <=> v84(constB46, 1)) | ((~v84(constB47, 2)) <=> v84(constB46, 2)) | ((~v84(constB47, 0)) <=> v84(constB46, 0)))))),
% 14.69/9.88 inference(rewrite,[status(thm)],[])).
% 14.69/9.88 tff(8036,plain,
% 14.69/9.88 ((v94(constB47) | (~nextState(constB46, constB47)) | (~(((~v84(constB47, 2)) <=> v84(constB46, 2)) | ((~v84(constB47, 1)) <=> v84(constB46, 1)) | ((~v84(constB47, 0)) <=> v84(constB46, 0))))) <=> (v94(constB47) | (~nextState(constB46, constB47)) | (~(((~v84(constB47, 1)) <=> v84(constB46, 1)) | ((~v84(constB47, 2)) <=> v84(constB46, 2)) | ((~v84(constB47, 0)) <=> v84(constB46, 0)))))),
% 14.69/9.88 inference(rewrite,[status(thm)],[])).
% 14.69/9.88 tff(8037,plain,
% 14.69/9.88 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB47) | (~nextState(constB46, constB47)) | (~(((~v84(constB47, 2)) <=> v84(constB46, 2)) | ((~v84(constB47, 1)) <=> v84(constB46, 1)) | ((~v84(constB47, 0)) <=> v84(constB46, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB47) | (~nextState(constB46, constB47)) | (~(((~v84(constB47, 1)) <=> v84(constB46, 1)) | ((~v84(constB47, 2)) <=> v84(constB46, 2)) | ((~v84(constB47, 0)) <=> v84(constB46, 0))))))),
% 14.69/9.88 inference(monotonicity,[status(thm)],[8036])).
% 14.69/9.88 tff(8038,plain,
% 14.69/9.88 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB47) | (~nextState(constB46, constB47)) | (~(((~v84(constB47, 2)) <=> v84(constB46, 2)) | ((~v84(constB47, 1)) <=> v84(constB46, 1)) | ((~v84(constB47, 0)) <=> v84(constB46, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB47) | (~nextState(constB46, constB47)) | (~(((~v84(constB47, 1)) <=> v84(constB46, 1)) | ((~v84(constB47, 2)) <=> v84(constB46, 2)) | ((~v84(constB47, 0)) <=> v84(constB46, 0)))))),
% 14.69/9.88 inference(transitivity,[status(thm)],[8037, 8035])).
% 14.69/9.88 tff(8039,plain,
% 14.69/9.88 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB47) | (~nextState(constB46, constB47)) | (~(((~v84(constB47, 2)) <=> v84(constB46, 2)) | ((~v84(constB47, 1)) <=> v84(constB46, 1)) | ((~v84(constB47, 0)) <=> v84(constB46, 0)))))),
% 14.69/9.88 inference(quant_inst,[status(thm)],[])).
% 14.69/9.88 tff(8040,plain,
% 14.69/9.88 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB47) | (~nextState(constB46, constB47)) | (~(((~v84(constB47, 1)) <=> v84(constB46, 1)) | ((~v84(constB47, 2)) <=> v84(constB46, 2)) | ((~v84(constB47, 0)) <=> v84(constB46, 0))))),
% 14.69/9.88 inference(modus_ponens,[status(thm)],[8039, 8038])).
% 14.69/9.88 tff(8041,plain,
% 14.69/9.88 (v94(constB47) | (~(((~v84(constB47, 1)) <=> v84(constB46, 1)) | ((~v84(constB47, 2)) <=> v84(constB46, 2)) | ((~v84(constB47, 0)) <=> v84(constB46, 0))))),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8040, 376, 819])).
% 14.69/9.88 tff(8042,plain,
% 14.69/9.88 (~(((~v84(constB47, 1)) <=> v84(constB46, 1)) | ((~v84(constB47, 2)) <=> v84(constB46, 2)) | ((~v84(constB47, 0)) <=> v84(constB46, 0)))),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8041, 8034])).
% 14.69/9.88 tff(8043,plain,
% 14.69/9.88 ((((~v84(constB47, 1)) <=> v84(constB46, 1)) | ((~v84(constB47, 2)) <=> v84(constB46, 2)) | ((~v84(constB47, 0)) <=> v84(constB46, 0))) | (~((~v84(constB47, 2)) <=> v84(constB46, 2)))),
% 14.69/9.88 inference(tautology,[status(thm)],[])).
% 14.69/9.88 tff(8044,plain,
% 14.69/9.88 (~((~v84(constB47, 2)) <=> v84(constB46, 2))),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8043, 8042])).
% 14.69/9.88 tff(8045,plain,
% 14.69/9.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB45, constB46)) | (~(((~v123(constB46, 2)) <=> v121(constB45, 2)) | ((~v123(constB46, 1)) <=> v121(constB45, 1)) | ((~v123(constB46, 0)) <=> v121(constB45, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB45, constB46)) | (~(((~v123(constB46, 2)) <=> v121(constB45, 2)) | ((~v123(constB46, 1)) <=> v121(constB45, 1)) | ((~v123(constB46, 0)) <=> v121(constB45, 0)))))),
% 14.69/9.88 inference(rewrite,[status(thm)],[])).
% 14.69/9.88 tff(8046,plain,
% 14.69/9.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB45, constB46)) | (~(((~v123(constB46, 2)) <=> v121(constB45, 2)) | ((~v123(constB46, 1)) <=> v121(constB45, 1)) | ((~v123(constB46, 0)) <=> v121(constB45, 0)))))),
% 14.69/9.88 inference(quant_inst,[status(thm)],[])).
% 14.69/9.88 tff(8047,plain,
% 14.69/9.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB45, constB46)) | (~(((~v123(constB46, 2)) <=> v121(constB45, 2)) | ((~v123(constB46, 1)) <=> v121(constB45, 1)) | ((~v123(constB46, 0)) <=> v121(constB45, 0))))),
% 14.69/9.88 inference(modus_ponens,[status(thm)],[8046, 8045])).
% 14.69/9.88 tff(8048,plain,
% 14.69/9.88 (~(((~v123(constB46, 2)) <=> v121(constB45, 2)) | ((~v123(constB46, 1)) <=> v121(constB45, 1)) | ((~v123(constB46, 0)) <=> v121(constB45, 0)))),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8047, 459, 842])).
% 14.69/9.88 tff(8049,plain,
% 14.69/9.88 ((((~v123(constB46, 2)) <=> v121(constB45, 2)) | ((~v123(constB46, 1)) <=> v121(constB45, 1)) | ((~v123(constB46, 0)) <=> v121(constB45, 0))) | (~((~v123(constB46, 2)) <=> v121(constB45, 2)))),
% 14.69/9.88 inference(tautology,[status(thm)],[])).
% 14.69/9.88 tff(8050,plain,
% 14.69/9.88 (~((~v123(constB46, 2)) <=> v121(constB45, 2))),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8049, 8048])).
% 14.69/9.88 tff(8051,plain,
% 14.69/9.88 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB45) <=> v26(constB45))),
% 14.69/9.88 inference(quant_inst,[status(thm)],[])).
% 14.69/9.88 tff(8052,plain,
% 14.69/9.88 (v105(constB45) <=> v26(constB45)),
% 14.69/9.88 inference(unit_resolution,[status(thm)],[8051, 861])).
% 14.69/9.88 tff(8053,plain,
% 14.69/9.88 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB45))),
% 14.69/9.88 inference(quant_inst,[status(thm)],[])).
% 14.69/9.89 tff(8054,plain,
% 14.69/9.89 (~v26(constB45)),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8053, 873])).
% 14.69/9.89 tff(8055,plain,
% 14.69/9.89 ((~(v105(constB45) <=> v26(constB45))) | (~v105(constB45)) | v26(constB45)),
% 14.69/9.89 inference(tautology,[status(thm)],[])).
% 14.69/9.89 tff(8056,plain,
% 14.69/9.89 ((~(v105(constB45) <=> v26(constB45))) | (~v105(constB45))),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8055, 8054])).
% 14.69/9.89 tff(8057,plain,
% 14.69/9.89 (~v105(constB45)),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8056, 8052])).
% 14.69/9.89 tff(8058,plain,
% 14.69/9.89 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB45) | (~(((~v121(constB45, 2)) <=> v124(constB45, 2)) | ((~v121(constB45, 0)) <=> v124(constB45, 0)) | ((~v121(constB45, 1)) <=> v124(constB45, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB45) | (~(((~v121(constB45, 2)) <=> v124(constB45, 2)) | ((~v121(constB45, 0)) <=> v124(constB45, 0)) | ((~v121(constB45, 1)) <=> v124(constB45, 1)))))),
% 14.69/9.89 inference(rewrite,[status(thm)],[])).
% 14.69/9.89 tff(8059,plain,
% 14.69/9.89 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB45) | (~(((~v121(constB45, 2)) <=> v124(constB45, 2)) | ((~v121(constB45, 0)) <=> v124(constB45, 0)) | ((~v121(constB45, 1)) <=> v124(constB45, 1)))))),
% 14.69/9.89 inference(quant_inst,[status(thm)],[])).
% 14.69/9.89 tff(8060,plain,
% 14.69/9.89 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB45) | (~(((~v121(constB45, 2)) <=> v124(constB45, 2)) | ((~v121(constB45, 0)) <=> v124(constB45, 0)) | ((~v121(constB45, 1)) <=> v124(constB45, 1))))),
% 14.69/9.89 inference(modus_ponens,[status(thm)],[8059, 8058])).
% 14.69/9.89 tff(8061,plain,
% 14.69/9.89 (v105(constB45) | (~(((~v121(constB45, 2)) <=> v124(constB45, 2)) | ((~v121(constB45, 0)) <=> v124(constB45, 0)) | ((~v121(constB45, 1)) <=> v124(constB45, 1))))),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8060, 891])).
% 14.69/9.89 tff(8062,plain,
% 14.69/9.89 (~(((~v121(constB45, 2)) <=> v124(constB45, 2)) | ((~v121(constB45, 0)) <=> v124(constB45, 0)) | ((~v121(constB45, 1)) <=> v124(constB45, 1)))),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8061, 8057])).
% 14.69/9.89 tff(8063,plain,
% 14.69/9.89 ((((~v121(constB45, 2)) <=> v124(constB45, 2)) | ((~v121(constB45, 0)) <=> v124(constB45, 0)) | ((~v121(constB45, 1)) <=> v124(constB45, 1))) | (~((~v121(constB45, 2)) <=> v124(constB45, 2)))),
% 14.69/9.89 inference(tautology,[status(thm)],[])).
% 14.69/9.89 tff(8064,plain,
% 14.69/9.89 (~((~v121(constB45, 2)) <=> v124(constB45, 2))),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8063, 8062])).
% 14.69/9.89 tff(8065,plain,
% 14.69/9.89 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB45) <=> (~(v84(constB45, 0) | v84(constB45, 1) | v84(constB45, 2))))),
% 14.69/9.89 inference(quant_inst,[status(thm)],[])).
% 14.69/9.89 tff(8066,plain,
% 14.69/9.89 (v113(constB45) <=> (~(v84(constB45, 0) | v84(constB45, 1) | v84(constB45, 2)))),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8065, 1466])).
% 14.69/9.89 tff(8067,plain,
% 14.69/9.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB44, constB45)) | (v94(constB45) <=> (~((~v95(constB45)) | (~v104(constB45))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB44, constB45)) | (v94(constB45) <=> (~((~v95(constB45)) | (~v104(constB45))))))),
% 14.69/9.89 inference(rewrite,[status(thm)],[])).
% 14.69/9.89 tff(8068,plain,
% 14.69/9.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB44, constB45)) | (v94(constB45) <=> (~((~v95(constB45)) | (~v104(constB45))))))),
% 14.69/9.89 inference(quant_inst,[status(thm)],[])).
% 14.69/9.89 tff(8069,plain,
% 14.69/9.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB44, constB45)) | (v94(constB45) <=> (~((~v95(constB45)) | (~v104(constB45)))))),
% 14.69/9.89 inference(modus_ponens,[status(thm)],[8068, 8067])).
% 14.69/9.89 tff(8070,plain,
% 14.69/9.89 (v94(constB45) <=> (~((~v95(constB45)) | (~v104(constB45))))),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8069, 573, 770])).
% 14.69/9.89 tff(8071,plain,
% 14.69/9.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45))))))),
% 14.69/9.89 inference(rewrite,[status(thm)],[])).
% 14.69/9.89 tff(8072,plain,
% 14.69/9.89 (((~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v96(constB45)) | (~v1(constB45)))))) <=> ((~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45))))))),
% 14.69/9.89 inference(rewrite,[status(thm)],[])).
% 14.69/9.89 tff(8073,plain,
% 14.69/9.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v96(constB45)) | (~v1(constB45))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45)))))))),
% 14.69/9.89 inference(monotonicity,[status(thm)],[8072])).
% 14.69/9.89 tff(8074,plain,
% 14.69/9.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v96(constB45)) | (~v1(constB45))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45))))))),
% 14.69/9.89 inference(transitivity,[status(thm)],[8073, 8071])).
% 14.69/9.89 tff(8075,plain,
% 14.69/9.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v96(constB45)) | (~v1(constB45))))))),
% 14.69/9.89 inference(quant_inst,[status(thm)],[])).
% 14.69/9.89 tff(8076,plain,
% 14.69/9.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45)))))),
% 14.69/9.89 inference(modus_ponens,[status(thm)],[8075, 8074])).
% 14.69/9.89 tff(8077,plain,
% 14.69/9.89 (v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45))))),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8076, 573, 790])).
% 14.69/9.89 tff(8078,plain,
% 14.69/9.89 (((~v1(constB45)) | (~v96(constB45))) | v1(constB45)),
% 14.69/9.89 inference(tautology,[status(thm)],[])).
% 14.69/9.89 tff(8079,plain,
% 14.69/9.89 ((~v1(constB45)) | (~v96(constB45))),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8078, 523])).
% 14.69/9.89 tff(8080,plain,
% 14.69/9.89 ((~(v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45)))))) | (~v95(constB45)) | (~((~v1(constB45)) | (~v96(constB45))))),
% 14.69/9.89 inference(tautology,[status(thm)],[])).
% 14.69/9.89 tff(8081,plain,
% 14.69/9.89 ((~(v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45)))))) | (~v95(constB45))),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8080, 8079])).
% 14.69/9.89 tff(8082,plain,
% 14.69/9.89 (~v95(constB45)),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8081, 8077])).
% 14.69/9.89 tff(8083,plain,
% 14.69/9.89 (((~v95(constB45)) | (~v104(constB45))) | v95(constB45)),
% 14.69/9.89 inference(tautology,[status(thm)],[])).
% 14.69/9.89 tff(8084,plain,
% 14.69/9.89 ((~v95(constB45)) | (~v104(constB45))),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8083, 8082])).
% 14.69/9.89 tff(8085,plain,
% 14.69/9.89 ((~(v94(constB45) <=> (~((~v95(constB45)) | (~v104(constB45)))))) | (~v94(constB45)) | (~((~v95(constB45)) | (~v104(constB45))))),
% 14.69/9.89 inference(tautology,[status(thm)],[])).
% 14.69/9.89 tff(8086,plain,
% 14.69/9.89 (~v94(constB45)),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8085, 8084, 8070])).
% 14.69/9.89 tff(8087,plain,
% 14.69/9.89 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB45) | (~nextState(constB44, constB45)) | (~(((~v84(constB45, 1)) <=> v84(constB44, 1)) | ((~v84(constB45, 2)) <=> v84(constB44, 2)) | ((~v84(constB45, 0)) <=> v84(constB44, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB45) | (~nextState(constB44, constB45)) | (~(((~v84(constB45, 1)) <=> v84(constB44, 1)) | ((~v84(constB45, 2)) <=> v84(constB44, 2)) | ((~v84(constB45, 0)) <=> v84(constB44, 0)))))),
% 14.69/9.89 inference(rewrite,[status(thm)],[])).
% 14.69/9.89 tff(8088,plain,
% 14.69/9.89 ((v94(constB45) | (~nextState(constB44, constB45)) | (~(((~v84(constB45, 2)) <=> v84(constB44, 2)) | ((~v84(constB45, 1)) <=> v84(constB44, 1)) | ((~v84(constB45, 0)) <=> v84(constB44, 0))))) <=> (v94(constB45) | (~nextState(constB44, constB45)) | (~(((~v84(constB45, 1)) <=> v84(constB44, 1)) | ((~v84(constB45, 2)) <=> v84(constB44, 2)) | ((~v84(constB45, 0)) <=> v84(constB44, 0)))))),
% 14.69/9.89 inference(rewrite,[status(thm)],[])).
% 14.69/9.89 tff(8089,plain,
% 14.69/9.89 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB45) | (~nextState(constB44, constB45)) | (~(((~v84(constB45, 2)) <=> v84(constB44, 2)) | ((~v84(constB45, 1)) <=> v84(constB44, 1)) | ((~v84(constB45, 0)) <=> v84(constB44, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB45) | (~nextState(constB44, constB45)) | (~(((~v84(constB45, 1)) <=> v84(constB44, 1)) | ((~v84(constB45, 2)) <=> v84(constB44, 2)) | ((~v84(constB45, 0)) <=> v84(constB44, 0))))))),
% 14.69/9.89 inference(monotonicity,[status(thm)],[8088])).
% 14.69/9.89 tff(8090,plain,
% 14.69/9.89 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB45) | (~nextState(constB44, constB45)) | (~(((~v84(constB45, 2)) <=> v84(constB44, 2)) | ((~v84(constB45, 1)) <=> v84(constB44, 1)) | ((~v84(constB45, 0)) <=> v84(constB44, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB45) | (~nextState(constB44, constB45)) | (~(((~v84(constB45, 1)) <=> v84(constB44, 1)) | ((~v84(constB45, 2)) <=> v84(constB44, 2)) | ((~v84(constB45, 0)) <=> v84(constB44, 0)))))),
% 14.69/9.89 inference(transitivity,[status(thm)],[8089, 8087])).
% 14.69/9.89 tff(8091,plain,
% 14.69/9.89 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB45) | (~nextState(constB44, constB45)) | (~(((~v84(constB45, 2)) <=> v84(constB44, 2)) | ((~v84(constB45, 1)) <=> v84(constB44, 1)) | ((~v84(constB45, 0)) <=> v84(constB44, 0)))))),
% 14.69/9.89 inference(quant_inst,[status(thm)],[])).
% 14.69/9.89 tff(8092,plain,
% 14.69/9.89 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB45) | (~nextState(constB44, constB45)) | (~(((~v84(constB45, 1)) <=> v84(constB44, 1)) | ((~v84(constB45, 2)) <=> v84(constB44, 2)) | ((~v84(constB45, 0)) <=> v84(constB44, 0))))),
% 14.69/9.89 inference(modus_ponens,[status(thm)],[8091, 8090])).
% 14.69/9.89 tff(8093,plain,
% 14.69/9.89 (v94(constB45) | (~(((~v84(constB45, 1)) <=> v84(constB44, 1)) | ((~v84(constB45, 2)) <=> v84(constB44, 2)) | ((~v84(constB45, 0)) <=> v84(constB44, 0))))),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8092, 573, 819])).
% 14.69/9.89 tff(8094,plain,
% 14.69/9.89 (~(((~v84(constB45, 1)) <=> v84(constB44, 1)) | ((~v84(constB45, 2)) <=> v84(constB44, 2)) | ((~v84(constB45, 0)) <=> v84(constB44, 0)))),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8093, 8086])).
% 14.69/9.89 tff(8095,plain,
% 14.69/9.89 ((((~v84(constB45, 1)) <=> v84(constB44, 1)) | ((~v84(constB45, 2)) <=> v84(constB44, 2)) | ((~v84(constB45, 0)) <=> v84(constB44, 0))) | (~((~v84(constB45, 2)) <=> v84(constB44, 2)))),
% 14.69/9.89 inference(tautology,[status(thm)],[])).
% 14.69/9.89 tff(8096,plain,
% 14.69/9.89 (~((~v84(constB45, 2)) <=> v84(constB44, 2))),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8095, 8094])).
% 14.69/9.89 tff(8097,plain,
% 14.69/9.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB43, constB44)) | (~(((~v123(constB44, 2)) <=> v121(constB43, 2)) | ((~v123(constB44, 1)) <=> v121(constB43, 1)) | ((~v123(constB44, 0)) <=> v121(constB43, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB43, constB44)) | (~(((~v123(constB44, 2)) <=> v121(constB43, 2)) | ((~v123(constB44, 1)) <=> v121(constB43, 1)) | ((~v123(constB44, 0)) <=> v121(constB43, 0)))))),
% 14.69/9.89 inference(rewrite,[status(thm)],[])).
% 14.69/9.89 tff(8098,plain,
% 14.69/9.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB43, constB44)) | (~(((~v123(constB44, 2)) <=> v121(constB43, 2)) | ((~v123(constB44, 1)) <=> v121(constB43, 1)) | ((~v123(constB44, 0)) <=> v121(constB43, 0)))))),
% 14.69/9.89 inference(quant_inst,[status(thm)],[])).
% 14.69/9.89 tff(8099,plain,
% 14.69/9.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB43, constB44)) | (~(((~v123(constB44, 2)) <=> v121(constB43, 2)) | ((~v123(constB44, 1)) <=> v121(constB43, 1)) | ((~v123(constB44, 0)) <=> v121(constB43, 0))))),
% 14.69/9.89 inference(modus_ponens,[status(thm)],[8098, 8097])).
% 14.69/9.89 tff(8100,plain,
% 14.69/9.89 (~(((~v123(constB44, 2)) <=> v121(constB43, 2)) | ((~v123(constB44, 1)) <=> v121(constB43, 1)) | ((~v123(constB44, 0)) <=> v121(constB43, 0)))),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8099, 656, 842])).
% 14.69/9.89 tff(8101,plain,
% 14.69/9.89 ((((~v123(constB44, 2)) <=> v121(constB43, 2)) | ((~v123(constB44, 1)) <=> v121(constB43, 1)) | ((~v123(constB44, 0)) <=> v121(constB43, 0))) | (~((~v123(constB44, 2)) <=> v121(constB43, 2)))),
% 14.69/9.89 inference(tautology,[status(thm)],[])).
% 14.69/9.89 tff(8102,plain,
% 14.69/9.89 (~((~v123(constB44, 2)) <=> v121(constB43, 2))),
% 14.69/9.89 inference(unit_resolution,[status(thm)],[8101, 8100])).
% 14.69/9.89 tff(8103,plain,
% 14.69/9.89 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB43) <=> v26(constB43))),
% 14.69/9.89 inference(quant_inst,[status(thm)],[])).
% 14.69/9.89 tff(8104,plain,
% 14.69/9.89 (v105(constB43) <=> v26(constB43)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[8103, 861])).
% 14.69/9.90 tff(8105,plain,
% 14.69/9.90 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB43))),
% 14.69/9.90 inference(quant_inst,[status(thm)],[])).
% 14.69/9.90 tff(8106,plain,
% 14.69/9.90 (~v26(constB43)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[8105, 873])).
% 14.69/9.90 tff(8107,plain,
% 14.69/9.90 ((~(v105(constB43) <=> v26(constB43))) | (~v105(constB43)) | v26(constB43)),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(8108,plain,
% 14.69/9.90 ((~(v105(constB43) <=> v26(constB43))) | (~v105(constB43))),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[8107, 8106])).
% 14.69/9.90 tff(8109,plain,
% 14.69/9.90 (~v105(constB43)),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[8108, 8104])).
% 14.69/9.90 tff(8110,plain,
% 14.69/9.90 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB43) | (~(((~v121(constB43, 2)) <=> v124(constB43, 2)) | ((~v121(constB43, 0)) <=> v124(constB43, 0)) | ((~v121(constB43, 1)) <=> v124(constB43, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB43) | (~(((~v121(constB43, 2)) <=> v124(constB43, 2)) | ((~v121(constB43, 0)) <=> v124(constB43, 0)) | ((~v121(constB43, 1)) <=> v124(constB43, 1)))))),
% 14.69/9.90 inference(rewrite,[status(thm)],[])).
% 14.69/9.90 tff(8111,plain,
% 14.69/9.90 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB43) | (~(((~v121(constB43, 2)) <=> v124(constB43, 2)) | ((~v121(constB43, 0)) <=> v124(constB43, 0)) | ((~v121(constB43, 1)) <=> v124(constB43, 1)))))),
% 14.69/9.90 inference(quant_inst,[status(thm)],[])).
% 14.69/9.90 tff(8112,plain,
% 14.69/9.90 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB43) | (~(((~v121(constB43, 2)) <=> v124(constB43, 2)) | ((~v121(constB43, 0)) <=> v124(constB43, 0)) | ((~v121(constB43, 1)) <=> v124(constB43, 1))))),
% 14.69/9.90 inference(modus_ponens,[status(thm)],[8111, 8110])).
% 14.69/9.90 tff(8113,plain,
% 14.69/9.90 (v105(constB43) | (~(((~v121(constB43, 2)) <=> v124(constB43, 2)) | ((~v121(constB43, 0)) <=> v124(constB43, 0)) | ((~v121(constB43, 1)) <=> v124(constB43, 1))))),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[8112, 891])).
% 14.69/9.90 tff(8114,plain,
% 14.69/9.90 (~(((~v121(constB43, 2)) <=> v124(constB43, 2)) | ((~v121(constB43, 0)) <=> v124(constB43, 0)) | ((~v121(constB43, 1)) <=> v124(constB43, 1)))),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[8113, 8109])).
% 14.69/9.90 tff(8115,plain,
% 14.69/9.90 ((((~v121(constB43, 2)) <=> v124(constB43, 2)) | ((~v121(constB43, 0)) <=> v124(constB43, 0)) | ((~v121(constB43, 1)) <=> v124(constB43, 1))) | (~((~v121(constB43, 2)) <=> v124(constB43, 2)))),
% 14.69/9.90 inference(tautology,[status(thm)],[])).
% 14.69/9.90 tff(8116,plain,
% 14.69/9.90 (~((~v121(constB43, 2)) <=> v124(constB43, 2))),
% 14.69/9.90 inference(unit_resolution,[status(thm)],[8115, 8114])).
% 14.69/9.90 tff(8117,plain,
% 14.69/9.90 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2))))))),
% 14.69/9.90 inference(rewrite,[status(thm)],[])).
% 14.69/9.90 tff(8118,plain,
% 14.69/9.90 ((v117(constB43) <=> (~(v84(constB43, 0) | v84(constB43, 1) | (~v84(constB43, 2))))) <=> (v117(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2)))))),
% 14.69/9.90 inference(rewrite,[status(thm)],[])).
% 14.69/9.90 tff(8119,plain,
% 14.69/9.90 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB43) <=> (~(v84(constB43, 0) | v84(constB43, 1) | (~v84(constB43, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2))))))),
% 14.69/9.91 inference(monotonicity,[status(thm)],[8118])).
% 14.69/9.91 tff(8120,plain,
% 14.69/9.91 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB43) <=> (~(v84(constB43, 0) | v84(constB43, 1) | (~v84(constB43, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2))))))),
% 14.69/9.91 inference(transitivity,[status(thm)],[8119, 8117])).
% 14.69/9.91 tff(8121,plain,
% 14.69/9.91 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB43) <=> (~(v84(constB43, 0) | v84(constB43, 1) | (~v84(constB43, 2)))))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(8122,plain,
% 14.69/9.91 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2)))))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[8121, 8120])).
% 14.69/9.91 tff(8123,plain,
% 14.69/9.91 (v117(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2))))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8122, 1199])).
% 14.69/9.91 tff(8124,plain,
% 14.69/9.91 ((((~v84(constB43, 1)) <=> v84(constB42, 1)) | ((~v84(constB43, 2)) <=> v84(constB42, 2)) | ((~v84(constB43, 0)) <=> v84(constB42, 0))) | (~((~v84(constB43, 2)) <=> v84(constB42, 2)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8125,plain,
% 14.69/9.91 (~((~v84(constB43, 2)) <=> v84(constB42, 2))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8124, 827])).
% 14.69/9.91 tff(8126,plain,
% 14.69/9.91 ((((~v123(constB42, 2)) <=> v121(constB41, 2)) | ((~v123(constB42, 1)) <=> v121(constB41, 1)) | ((~v123(constB42, 0)) <=> v121(constB41, 0))) | (~((~v123(constB42, 2)) <=> v121(constB41, 2)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8127,plain,
% 14.69/9.91 (~((~v123(constB42, 2)) <=> v121(constB41, 2))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8126, 849])).
% 14.69/9.91 tff(8128,plain,
% 14.69/9.91 ((((~v121(constB41, 2)) <=> v124(constB41, 2)) | ((~v121(constB41, 0)) <=> v124(constB41, 0)) | ((~v121(constB41, 1)) <=> v124(constB41, 1))) | (~((~v121(constB41, 2)) <=> v124(constB41, 2)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8129,plain,
% 14.69/9.91 (~((~v121(constB41, 2)) <=> v124(constB41, 2))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8128, 896])).
% 14.69/9.91 tff(8130,plain,
% 14.69/9.91 ((v124(constB41, 0) | v124(constB41, 1) | (~v124(constB41, 2))) | v124(constB41, 2)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8131,plain,
% 14.69/9.91 (v124(constB41, 2)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8130, 5696])).
% 14.69/9.91 tff(8132,plain,
% 14.69/9.91 (((~v121(constB41, 2)) <=> v124(constB41, 2)) | v121(constB41, 2) | (~v124(constB41, 2))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8133,plain,
% 14.69/9.91 (v121(constB41, 2)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8132, 8131, 8129])).
% 14.69/9.91 tff(8134,plain,
% 14.69/9.91 (((~v123(constB42, 2)) <=> v121(constB41, 2)) | v123(constB42, 2) | (~v121(constB41, 2))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8135,plain,
% 14.69/9.91 (v123(constB42, 2)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8134, 8133, 8127])).
% 14.69/9.91 tff(8136,plain,
% 14.69/9.91 ((((~v84(constB42, 0)) <=> v123(constB42, 0)) | ((~v84(constB42, 2)) <=> v123(constB42, 2)) | ((~v84(constB42, 1)) <=> v123(constB42, 1))) | (~((~v84(constB42, 2)) <=> v123(constB42, 2)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8137,plain,
% 14.69/9.91 (~((~v84(constB42, 2)) <=> v123(constB42, 2))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8136, 5794])).
% 14.69/9.91 tff(8138,plain,
% 14.69/9.91 (((~v84(constB42, 2)) <=> v123(constB42, 2)) | v84(constB42, 2) | (~v123(constB42, 2))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8139,plain,
% 14.69/9.91 (v84(constB42, 2)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8138, 8137, 8135])).
% 14.69/9.91 tff(8140,plain,
% 14.69/9.91 (((~v84(constB43, 2)) <=> v84(constB42, 2)) | v84(constB43, 2) | (~v84(constB42, 2))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8141,plain,
% 14.69/9.91 (v84(constB43, 2)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8140, 8139, 8125])).
% 14.69/9.91 tff(8142,plain,
% 14.69/9.91 ((((~v84(constB43, 1)) <=> v84(constB42, 1)) | ((~v84(constB43, 2)) <=> v84(constB42, 2)) | ((~v84(constB43, 0)) <=> v84(constB42, 0))) | (~((~v84(constB43, 1)) <=> v84(constB42, 1)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8143,plain,
% 14.69/9.91 (~((~v84(constB43, 1)) <=> v84(constB42, 1))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8142, 827])).
% 14.69/9.91 tff(8144,plain,
% 14.69/9.91 ((((~v123(constB42, 2)) <=> v121(constB41, 2)) | ((~v123(constB42, 1)) <=> v121(constB41, 1)) | ((~v123(constB42, 0)) <=> v121(constB41, 0))) | (~((~v123(constB42, 1)) <=> v121(constB41, 1)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8145,plain,
% 14.69/9.91 (~((~v123(constB42, 1)) <=> v121(constB41, 1))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8144, 849])).
% 14.69/9.91 tff(8146,plain,
% 14.69/9.91 ((((~v121(constB41, 2)) <=> v124(constB41, 2)) | ((~v121(constB41, 0)) <=> v124(constB41, 0)) | ((~v121(constB41, 1)) <=> v124(constB41, 1))) | (~((~v121(constB41, 1)) <=> v124(constB41, 1)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8147,plain,
% 14.69/9.91 (~((~v121(constB41, 1)) <=> v124(constB41, 1))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8146, 896])).
% 14.69/9.91 tff(8148,plain,
% 14.69/9.91 ((v124(constB41, 0) | v124(constB41, 1) | (~v124(constB41, 2))) | (~v124(constB41, 1))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8149,plain,
% 14.69/9.91 (~v124(constB41, 1)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8148, 5696])).
% 14.69/9.91 tff(8150,plain,
% 14.69/9.91 (((~v121(constB41, 1)) <=> v124(constB41, 1)) | (~v121(constB41, 1)) | v124(constB41, 1)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8151,plain,
% 14.69/9.91 (~v121(constB41, 1)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8150, 8149, 8147])).
% 14.69/9.91 tff(8152,plain,
% 14.69/9.91 (((~v123(constB42, 1)) <=> v121(constB41, 1)) | (~v123(constB42, 1)) | v121(constB41, 1)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8153,plain,
% 14.69/9.91 (~v123(constB42, 1)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8152, 8151, 8145])).
% 14.69/9.91 tff(8154,plain,
% 14.69/9.91 ((((~v84(constB42, 0)) <=> v123(constB42, 0)) | ((~v84(constB42, 2)) <=> v123(constB42, 2)) | ((~v84(constB42, 1)) <=> v123(constB42, 1))) | (~((~v84(constB42, 1)) <=> v123(constB42, 1)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8155,plain,
% 14.69/9.91 (~((~v84(constB42, 1)) <=> v123(constB42, 1))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8154, 5794])).
% 14.69/9.91 tff(8156,plain,
% 14.69/9.91 (((~v84(constB42, 1)) <=> v123(constB42, 1)) | (~v84(constB42, 1)) | v123(constB42, 1)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8157,plain,
% 14.69/9.91 (~v84(constB42, 1)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8156, 8155, 8153])).
% 14.69/9.91 tff(8158,plain,
% 14.69/9.91 (((~v84(constB43, 1)) <=> v84(constB42, 1)) | (~v84(constB43, 1)) | v84(constB42, 1)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8159,plain,
% 14.69/9.91 (~v84(constB43, 1)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8158, 8157, 8143])).
% 14.69/9.91 tff(8160,plain,
% 14.69/9.91 ((~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2)))) | v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8161,plain,
% 14.69/9.91 (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2)))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8160, 8159, 5800, 8141])).
% 14.69/9.91 tff(8162,plain,
% 14.69/9.91 ((~(v117(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2)))))) | v117(constB43) | (v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8163,plain,
% 14.69/9.91 (v117(constB43)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8162, 8161, 8123])).
% 14.69/9.91 tff(8164,plain,
% 14.69/9.91 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB43)) | (~(v124(constB43, 0) | (~v124(constB43, 2)) | (~v124(constB43, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB43)) | (~(v124(constB43, 0) | (~v124(constB43, 2)) | (~v124(constB43, 1)))))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(8165,plain,
% 14.69/9.91 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB43)) | (~(v124(constB43, 0) | (~v124(constB43, 2)) | (~v124(constB43, 1)))))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(8166,plain,
% 14.69/9.91 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB43)) | (~(v124(constB43, 0) | (~v124(constB43, 2)) | (~v124(constB43, 1))))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[8165, 8164])).
% 14.69/9.91 tff(8167,plain,
% 14.69/9.91 ((~v117(constB43)) | (~(v124(constB43, 0) | (~v124(constB43, 2)) | (~v124(constB43, 1))))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8166, 2584])).
% 14.69/9.91 tff(8168,plain,
% 14.69/9.91 (~(v124(constB43, 0) | (~v124(constB43, 2)) | (~v124(constB43, 1)))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8167, 8163])).
% 14.69/9.91 tff(8169,plain,
% 14.69/9.91 ((v124(constB43, 0) | (~v124(constB43, 2)) | (~v124(constB43, 1))) | v124(constB43, 2)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8170,plain,
% 14.69/9.91 (v124(constB43, 2)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8169, 8168])).
% 14.69/9.91 tff(8171,plain,
% 14.69/9.91 (((~v121(constB43, 2)) <=> v124(constB43, 2)) | v121(constB43, 2) | (~v124(constB43, 2))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8172,plain,
% 14.69/9.91 (v121(constB43, 2)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8171, 8170, 8116])).
% 14.69/9.91 tff(8173,plain,
% 14.69/9.91 (((~v123(constB44, 2)) <=> v121(constB43, 2)) | v123(constB44, 2) | (~v121(constB43, 2))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8174,plain,
% 14.69/9.91 (v123(constB44, 2)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8173, 8172, 8102])).
% 14.69/9.91 tff(8175,plain,
% 14.69/9.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB43, constB44)) | (v94(constB44) <=> (~((~v95(constB44)) | (~v104(constB44))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB43, constB44)) | (v94(constB44) <=> (~((~v95(constB44)) | (~v104(constB44))))))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(8176,plain,
% 14.69/9.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB43, constB44)) | (v94(constB44) <=> (~((~v95(constB44)) | (~v104(constB44))))))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(8177,plain,
% 14.69/9.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB43, constB44)) | (v94(constB44) <=> (~((~v95(constB44)) | (~v104(constB44)))))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[8176, 8175])).
% 14.69/9.91 tff(8178,plain,
% 14.69/9.91 (v94(constB44) <=> (~((~v95(constB44)) | (~v104(constB44))))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8177, 656, 770])).
% 14.69/9.91 tff(8179,plain,
% 14.69/9.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44))))))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(8180,plain,
% 14.69/9.91 (((~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v96(constB44)) | (~v1(constB44)))))) <=> ((~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44))))))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(8181,plain,
% 14.69/9.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v96(constB44)) | (~v1(constB44))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44)))))))),
% 14.69/9.91 inference(monotonicity,[status(thm)],[8180])).
% 14.69/9.91 tff(8182,plain,
% 14.69/9.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v96(constB44)) | (~v1(constB44))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44))))))),
% 14.69/9.91 inference(transitivity,[status(thm)],[8181, 8179])).
% 14.69/9.91 tff(8183,plain,
% 14.69/9.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v96(constB44)) | (~v1(constB44))))))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(8184,plain,
% 14.69/9.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44)))))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[8183, 8182])).
% 14.69/9.91 tff(8185,plain,
% 14.69/9.91 (v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44))))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8184, 656, 790])).
% 14.69/9.91 tff(8186,plain,
% 14.69/9.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB43, constB44)) | ((~v96(constB44)) <=> v98(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB43, constB44)) | ((~v96(constB44)) <=> v98(constB44)))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(8187,plain,
% 14.69/9.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB43, constB44)) | ((~v96(constB44)) <=> v98(constB44)))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(8188,plain,
% 14.69/9.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB43, constB44)) | ((~v96(constB44)) <=> v98(constB44))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[8187, 8186])).
% 14.69/9.91 tff(8189,plain,
% 14.69/9.91 ((~v96(constB44)) <=> v98(constB44)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8188, 656, 2332])).
% 14.69/9.91 tff(8190,plain,
% 14.69/9.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB43, constB44)) | (v98(constB44) <=> v1(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB43, constB44)) | (v98(constB44) <=> v1(constB43)))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(8191,plain,
% 14.69/9.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB43, constB44)) | (v98(constB44) <=> v1(constB43)))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(8192,plain,
% 14.69/9.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB43, constB44)) | (v98(constB44) <=> v1(constB43))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[8191, 8190])).
% 14.69/9.91 tff(8193,plain,
% 14.69/9.91 (v98(constB44) <=> v1(constB43)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8192, 656, 2346])).
% 14.69/9.91 tff(8194,plain,
% 14.69/9.91 ((~(v98(constB44) <=> v1(constB43))) | (~v98(constB44)) | v1(constB43)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8195,plain,
% 14.69/9.91 ((~(v98(constB44) <=> v1(constB43))) | (~v98(constB44))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8194, 720])).
% 14.69/9.91 tff(8196,plain,
% 14.69/9.91 (~v98(constB44)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8195, 8193])).
% 14.69/9.91 tff(8197,plain,
% 14.69/9.91 ((~((~v96(constB44)) <=> v98(constB44))) | v96(constB44) | v98(constB44)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8198,plain,
% 14.69/9.91 (v96(constB44)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8197, 8196, 8189])).
% 14.69/9.91 tff(8199,plain,
% 14.69/9.91 ((~((~v1(constB44)) | (~v96(constB44)))) | (~v1(constB44)) | (~v96(constB44))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8200,plain,
% 14.69/9.91 ((~((~v1(constB44)) | (~v96(constB44)))) | (~v96(constB44))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8199, 617])).
% 14.69/9.91 tff(8201,plain,
% 14.69/9.91 (~((~v1(constB44)) | (~v96(constB44)))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8200, 8198])).
% 14.69/9.91 tff(8202,plain,
% 14.69/9.91 ((~(v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44)))))) | v95(constB44) | ((~v1(constB44)) | (~v96(constB44)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8203,plain,
% 14.69/9.91 (v95(constB44)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8202, 8201, 8185])).
% 14.69/9.91 tff(8204,plain,
% 14.69/9.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB43, constB44)) | (v104(constB44) <=> v102(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB43, constB44)) | (v104(constB44) <=> v102(constB43)))),
% 14.69/9.91 inference(rewrite,[status(thm)],[])).
% 14.69/9.91 tff(8205,plain,
% 14.69/9.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB43, constB44)) | (v104(constB44) <=> v102(constB43)))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(8206,plain,
% 14.69/9.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB43, constB44)) | (v104(constB44) <=> v102(constB43))),
% 14.69/9.91 inference(modus_ponens,[status(thm)],[8205, 8204])).
% 14.69/9.91 tff(8207,plain,
% 14.69/9.91 (v104(constB44) <=> v102(constB43)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8206, 656, 2373])).
% 14.69/9.91 tff(8208,plain,
% 14.69/9.91 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB43) <=> (v105(constB43) | v106(constB43)))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(8209,plain,
% 14.69/9.91 (v102(constB43) <=> (v105(constB43) | v106(constB43))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8208, 2384])).
% 14.69/9.91 tff(8210,plain,
% 14.69/9.91 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB43) <=> (~((~v107(constB43)) | (~v120(constB43)))))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(8211,plain,
% 14.69/9.91 (v106(constB43) <=> (~((~v107(constB43)) | (~v120(constB43))))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8210, 2396])).
% 14.69/9.91 tff(8212,plain,
% 14.69/9.91 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB43) <=> (v108(constB43) | v119(constB43)))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(8213,plain,
% 14.69/9.91 (v107(constB43) <=> (v108(constB43) | v119(constB43))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8212, 2405])).
% 14.69/9.91 tff(8214,plain,
% 14.69/9.91 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB43) <=> (v109(constB43) | v118(constB43)))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(8215,plain,
% 14.69/9.91 (v108(constB43) <=> (v109(constB43) | v118(constB43))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8214, 2414])).
% 14.69/9.91 tff(8216,plain,
% 14.69/9.91 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB43) <=> (v110(constB43) | v117(constB43)))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(8217,plain,
% 14.69/9.91 (v109(constB43) <=> (v110(constB43) | v117(constB43))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8216, 2423])).
% 14.69/9.91 tff(8218,plain,
% 14.69/9.91 ((v110(constB43) | v117(constB43)) | (~v117(constB43))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8219,plain,
% 14.69/9.91 (v110(constB43) | v117(constB43)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8218, 8163])).
% 14.69/9.91 tff(8220,plain,
% 14.69/9.91 ((~(v109(constB43) <=> (v110(constB43) | v117(constB43)))) | v109(constB43) | (~(v110(constB43) | v117(constB43)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8221,plain,
% 14.69/9.91 (v109(constB43)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8220, 8219, 8217])).
% 14.69/9.91 tff(8222,plain,
% 14.69/9.91 ((v109(constB43) | v118(constB43)) | (~v109(constB43))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8223,plain,
% 14.69/9.91 (v109(constB43) | v118(constB43)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8222, 8221])).
% 14.69/9.91 tff(8224,plain,
% 14.69/9.91 ((~(v108(constB43) <=> (v109(constB43) | v118(constB43)))) | v108(constB43) | (~(v109(constB43) | v118(constB43)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8225,plain,
% 14.69/9.91 (v108(constB43)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8224, 8223, 8215])).
% 14.69/9.91 tff(8226,plain,
% 14.69/9.91 ((v108(constB43) | v119(constB43)) | (~v108(constB43))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8227,plain,
% 14.69/9.91 (v108(constB43) | v119(constB43)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8226, 8225])).
% 14.69/9.91 tff(8228,plain,
% 14.69/9.91 ((~(v107(constB43) <=> (v108(constB43) | v119(constB43)))) | v107(constB43) | (~(v108(constB43) | v119(constB43)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8229,plain,
% 14.69/9.91 (v107(constB43)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8228, 8227, 8213])).
% 14.69/9.91 tff(8230,plain,
% 14.69/9.91 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB43)) <=> v105(constB43))),
% 14.69/9.91 inference(quant_inst,[status(thm)],[])).
% 14.69/9.91 tff(8231,plain,
% 14.69/9.91 ((~v120(constB43)) <=> v105(constB43)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8230, 2484])).
% 14.69/9.91 tff(8232,plain,
% 14.69/9.91 ((~((~v120(constB43)) <=> v105(constB43))) | v120(constB43) | v105(constB43)),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8233,plain,
% 14.69/9.91 ((~((~v120(constB43)) <=> v105(constB43))) | v120(constB43)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8232, 8109])).
% 14.69/9.91 tff(8234,plain,
% 14.69/9.91 (v120(constB43)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8233, 8231])).
% 14.69/9.91 tff(8235,plain,
% 14.69/9.91 ((~((~v107(constB43)) | (~v120(constB43)))) | (~v107(constB43)) | (~v120(constB43))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8236,plain,
% 14.69/9.91 ((~((~v107(constB43)) | (~v120(constB43)))) | (~v107(constB43))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8235, 8234])).
% 14.69/9.91 tff(8237,plain,
% 14.69/9.91 (~((~v107(constB43)) | (~v120(constB43)))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8236, 8229])).
% 14.69/9.91 tff(8238,plain,
% 14.69/9.91 ((~(v106(constB43) <=> (~((~v107(constB43)) | (~v120(constB43)))))) | v106(constB43) | ((~v107(constB43)) | (~v120(constB43)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8239,plain,
% 14.69/9.91 (v106(constB43)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8238, 8237, 8211])).
% 14.69/9.91 tff(8240,plain,
% 14.69/9.91 ((v105(constB43) | v106(constB43)) | (~v106(constB43))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8241,plain,
% 14.69/9.91 (v105(constB43) | v106(constB43)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8240, 8239])).
% 14.69/9.91 tff(8242,plain,
% 14.69/9.91 ((~(v102(constB43) <=> (v105(constB43) | v106(constB43)))) | v102(constB43) | (~(v105(constB43) | v106(constB43)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8243,plain,
% 14.69/9.91 (v102(constB43)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8242, 8241, 8209])).
% 14.69/9.91 tff(8244,plain,
% 14.69/9.91 ((~(v104(constB44) <=> v102(constB43))) | v104(constB44) | (~v102(constB43))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8245,plain,
% 14.69/9.91 (v104(constB44)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8244, 8243, 8207])).
% 14.69/9.91 tff(8246,plain,
% 14.69/9.91 ((~((~v95(constB44)) | (~v104(constB44)))) | (~v95(constB44)) | (~v104(constB44))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8247,plain,
% 14.69/9.91 (~((~v95(constB44)) | (~v104(constB44)))),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8246, 8245, 8203])).
% 14.69/9.91 tff(8248,plain,
% 14.69/9.91 ((~(v94(constB44) <=> (~((~v95(constB44)) | (~v104(constB44)))))) | v94(constB44) | ((~v95(constB44)) | (~v104(constB44)))),
% 14.69/9.91 inference(tautology,[status(thm)],[])).
% 14.69/9.91 tff(8249,plain,
% 14.69/9.91 (v94(constB44)),
% 14.69/9.91 inference(unit_resolution,[status(thm)],[8248, 8247, 8178])).
% 14.78/9.91 tff(8250,plain,
% 14.78/9.91 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB44)) | (~(((~v84(constB44, 2)) <=> v123(constB44, 2)) | ((~v84(constB44, 1)) <=> v123(constB44, 1)) | ((~v84(constB44, 0)) <=> v123(constB44, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB44)) | (~(((~v84(constB44, 2)) <=> v123(constB44, 2)) | ((~v84(constB44, 1)) <=> v123(constB44, 1)) | ((~v84(constB44, 0)) <=> v123(constB44, 0)))))),
% 14.78/9.91 inference(rewrite,[status(thm)],[])).
% 14.78/9.91 tff(8251,plain,
% 14.78/9.91 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB44)) | (~(((~v84(constB44, 2)) <=> v123(constB44, 2)) | ((~v84(constB44, 1)) <=> v123(constB44, 1)) | ((~v84(constB44, 0)) <=> v123(constB44, 0)))))),
% 14.78/9.91 inference(quant_inst,[status(thm)],[])).
% 14.78/9.91 tff(8252,plain,
% 14.78/9.91 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB44)) | (~(((~v84(constB44, 2)) <=> v123(constB44, 2)) | ((~v84(constB44, 1)) <=> v123(constB44, 1)) | ((~v84(constB44, 0)) <=> v123(constB44, 0))))),
% 14.78/9.91 inference(modus_ponens,[status(thm)],[8251, 8250])).
% 14.78/9.91 tff(8253,plain,
% 14.78/9.91 ((~v94(constB44)) | (~(((~v84(constB44, 2)) <=> v123(constB44, 2)) | ((~v84(constB44, 1)) <=> v123(constB44, 1)) | ((~v84(constB44, 0)) <=> v123(constB44, 0))))),
% 14.78/9.91 inference(unit_resolution,[status(thm)],[8252, 2517])).
% 14.78/9.91 tff(8254,plain,
% 14.78/9.91 (~(((~v84(constB44, 2)) <=> v123(constB44, 2)) | ((~v84(constB44, 1)) <=> v123(constB44, 1)) | ((~v84(constB44, 0)) <=> v123(constB44, 0)))),
% 14.78/9.91 inference(unit_resolution,[status(thm)],[8253, 8249])).
% 14.78/9.91 tff(8255,plain,
% 14.78/9.91 ((((~v84(constB44, 2)) <=> v123(constB44, 2)) | ((~v84(constB44, 1)) <=> v123(constB44, 1)) | ((~v84(constB44, 0)) <=> v123(constB44, 0))) | (~((~v84(constB44, 2)) <=> v123(constB44, 2)))),
% 14.78/9.91 inference(tautology,[status(thm)],[])).
% 14.78/9.91 tff(8256,plain,
% 14.78/9.91 (~((~v84(constB44, 2)) <=> v123(constB44, 2))),
% 14.78/9.91 inference(unit_resolution,[status(thm)],[8255, 8254])).
% 14.78/9.91 tff(8257,plain,
% 14.78/9.91 (((~v84(constB44, 2)) <=> v123(constB44, 2)) | v84(constB44, 2) | (~v123(constB44, 2))),
% 14.78/9.91 inference(tautology,[status(thm)],[])).
% 14.78/9.91 tff(8258,plain,
% 14.78/9.91 (v84(constB44, 2)),
% 14.78/9.91 inference(unit_resolution,[status(thm)],[8257, 8256, 8174])).
% 14.78/9.91 tff(8259,plain,
% 14.78/9.91 (((~v84(constB45, 2)) <=> v84(constB44, 2)) | v84(constB45, 2) | (~v84(constB44, 2))),
% 14.78/9.91 inference(tautology,[status(thm)],[])).
% 14.78/9.91 tff(8260,plain,
% 14.78/9.91 (v84(constB45, 2)),
% 14.78/9.91 inference(unit_resolution,[status(thm)],[8259, 8258, 8096])).
% 14.78/9.91 tff(8261,plain,
% 14.78/9.91 ((v84(constB45, 0) | v84(constB45, 1) | v84(constB45, 2)) | (~v84(constB45, 2))),
% 14.78/9.91 inference(tautology,[status(thm)],[])).
% 14.78/9.91 tff(8262,plain,
% 14.78/9.91 (v84(constB45, 0) | v84(constB45, 1) | v84(constB45, 2)),
% 14.78/9.91 inference(unit_resolution,[status(thm)],[8261, 8260])).
% 14.78/9.91 tff(8263,plain,
% 14.78/9.91 ((~(v113(constB45) <=> (~(v84(constB45, 0) | v84(constB45, 1) | v84(constB45, 2))))) | (~v113(constB45)) | (~(v84(constB45, 0) | v84(constB45, 1) | v84(constB45, 2)))),
% 14.78/9.91 inference(tautology,[status(thm)],[])).
% 14.78/9.91 tff(8264,plain,
% 14.78/9.91 (~v113(constB45)),
% 14.78/9.91 inference(unit_resolution,[status(thm)],[8263, 8262, 8066])).
% 14.78/9.91 tff(8265,plain,
% 14.78/9.91 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB45) <=> (~(v84(constB45, 1) | (~v84(constB45, 2)) | (~v84(constB45, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB45) <=> (~(v84(constB45, 1) | (~v84(constB45, 2)) | (~v84(constB45, 0))))))),
% 14.78/9.91 inference(rewrite,[status(thm)],[])).
% 14.78/9.91 tff(8266,plain,
% 14.78/9.91 ((v118(constB45) <=> (~(v84(constB45, 1) | (~v84(constB45, 0)) | (~v84(constB45, 2))))) <=> (v118(constB45) <=> (~(v84(constB45, 1) | (~v84(constB45, 2)) | (~v84(constB45, 0)))))),
% 14.78/9.91 inference(rewrite,[status(thm)],[])).
% 14.78/9.91 tff(8267,plain,
% 14.78/9.91 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB45) <=> (~(v84(constB45, 1) | (~v84(constB45, 0)) | (~v84(constB45, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB45) <=> (~(v84(constB45, 1) | (~v84(constB45, 2)) | (~v84(constB45, 0))))))),
% 14.78/9.91 inference(monotonicity,[status(thm)],[8266])).
% 14.78/9.91 tff(8268,plain,
% 14.78/9.91 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB45) <=> (~(v84(constB45, 1) | (~v84(constB45, 0)) | (~v84(constB45, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB45) <=> (~(v84(constB45, 1) | (~v84(constB45, 2)) | (~v84(constB45, 0))))))),
% 14.78/9.91 inference(transitivity,[status(thm)],[8267, 8265])).
% 14.78/9.91 tff(8269,plain,
% 14.78/9.91 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB45) <=> (~(v84(constB45, 1) | (~v84(constB45, 0)) | (~v84(constB45, 2)))))),
% 14.78/9.91 inference(quant_inst,[status(thm)],[])).
% 14.78/9.91 tff(8270,plain,
% 14.78/9.91 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB45) <=> (~(v84(constB45, 1) | (~v84(constB45, 2)) | (~v84(constB45, 0)))))),
% 14.78/9.91 inference(modus_ponens,[status(thm)],[8269, 8268])).
% 14.78/9.91 tff(8271,plain,
% 14.78/9.91 (v118(constB45) <=> (~(v84(constB45, 1) | (~v84(constB45, 2)) | (~v84(constB45, 0))))),
% 14.78/9.91 inference(unit_resolution,[status(thm)],[8270, 2701])).
% 14.78/9.91 tff(8272,plain,
% 14.78/9.91 ((((~v84(constB45, 1)) <=> v84(constB44, 1)) | ((~v84(constB45, 2)) <=> v84(constB44, 2)) | ((~v84(constB45, 0)) <=> v84(constB44, 0))) | (~((~v84(constB45, 1)) <=> v84(constB44, 1)))),
% 14.78/9.91 inference(tautology,[status(thm)],[])).
% 14.78/9.91 tff(8273,plain,
% 14.78/9.91 (~((~v84(constB45, 1)) <=> v84(constB44, 1))),
% 14.78/9.91 inference(unit_resolution,[status(thm)],[8272, 8094])).
% 14.78/9.91 tff(8274,plain,
% 14.78/9.91 ((((~v123(constB44, 2)) <=> v121(constB43, 2)) | ((~v123(constB44, 1)) <=> v121(constB43, 1)) | ((~v123(constB44, 0)) <=> v121(constB43, 0))) | (~((~v123(constB44, 1)) <=> v121(constB43, 1)))),
% 14.78/9.91 inference(tautology,[status(thm)],[])).
% 14.78/9.91 tff(8275,plain,
% 14.78/9.91 (~((~v123(constB44, 1)) <=> v121(constB43, 1))),
% 14.78/9.91 inference(unit_resolution,[status(thm)],[8274, 8100])).
% 14.78/9.91 tff(8276,plain,
% 14.78/9.91 ((((~v121(constB43, 2)) <=> v124(constB43, 2)) | ((~v121(constB43, 0)) <=> v124(constB43, 0)) | ((~v121(constB43, 1)) <=> v124(constB43, 1))) | (~((~v121(constB43, 1)) <=> v124(constB43, 1)))),
% 14.78/9.91 inference(tautology,[status(thm)],[])).
% 14.78/9.91 tff(8277,plain,
% 14.78/9.91 (~((~v121(constB43, 1)) <=> v124(constB43, 1))),
% 14.78/9.91 inference(unit_resolution,[status(thm)],[8276, 8114])).
% 14.78/9.91 tff(8278,plain,
% 14.78/9.91 ((v124(constB43, 0) | (~v124(constB43, 2)) | (~v124(constB43, 1))) | v124(constB43, 1)),
% 14.78/9.91 inference(tautology,[status(thm)],[])).
% 14.78/9.91 tff(8279,plain,
% 14.78/9.91 (v124(constB43, 1)),
% 14.78/9.91 inference(unit_resolution,[status(thm)],[8278, 8168])).
% 14.78/9.91 tff(8280,plain,
% 14.78/9.91 (((~v121(constB43, 1)) <=> v124(constB43, 1)) | v121(constB43, 1) | (~v124(constB43, 1))),
% 14.78/9.91 inference(tautology,[status(thm)],[])).
% 14.78/9.91 tff(8281,plain,
% 14.78/9.91 (v121(constB43, 1)),
% 14.78/9.91 inference(unit_resolution,[status(thm)],[8280, 8279, 8277])).
% 14.78/9.91 tff(8282,plain,
% 14.78/9.91 (((~v123(constB44, 1)) <=> v121(constB43, 1)) | v123(constB44, 1) | (~v121(constB43, 1))),
% 14.78/9.91 inference(tautology,[status(thm)],[])).
% 14.78/9.91 tff(8283,plain,
% 14.78/9.91 (v123(constB44, 1)),
% 14.78/9.91 inference(unit_resolution,[status(thm)],[8282, 8281, 8275])).
% 14.78/9.91 tff(8284,plain,
% 14.78/9.91 ((((~v84(constB44, 2)) <=> v123(constB44, 2)) | ((~v84(constB44, 1)) <=> v123(constB44, 1)) | ((~v84(constB44, 0)) <=> v123(constB44, 0))) | (~((~v84(constB44, 1)) <=> v123(constB44, 1)))),
% 14.78/9.91 inference(tautology,[status(thm)],[])).
% 14.78/9.91 tff(8285,plain,
% 14.78/9.92 (~((~v84(constB44, 1)) <=> v123(constB44, 1))),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8284, 8254])).
% 14.78/9.92 tff(8286,plain,
% 14.78/9.92 (((~v84(constB44, 1)) <=> v123(constB44, 1)) | v84(constB44, 1) | (~v123(constB44, 1))),
% 14.78/9.92 inference(tautology,[status(thm)],[])).
% 14.78/9.92 tff(8287,plain,
% 14.78/9.92 (v84(constB44, 1)),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8286, 8285, 8283])).
% 14.78/9.92 tff(8288,plain,
% 14.78/9.92 (((~v84(constB45, 1)) <=> v84(constB44, 1)) | v84(constB45, 1) | (~v84(constB44, 1))),
% 14.78/9.92 inference(tautology,[status(thm)],[])).
% 14.78/9.92 tff(8289,plain,
% 14.78/9.92 (v84(constB45, 1)),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8288, 8287, 8273])).
% 14.78/9.92 tff(8290,plain,
% 14.78/9.92 ((v84(constB45, 1) | (~v84(constB45, 2)) | (~v84(constB45, 0))) | (~v84(constB45, 1))),
% 14.78/9.92 inference(tautology,[status(thm)],[])).
% 14.78/9.92 tff(8291,plain,
% 14.78/9.92 (v84(constB45, 1) | (~v84(constB45, 2)) | (~v84(constB45, 0))),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8290, 8289])).
% 14.78/9.92 tff(8292,plain,
% 14.78/9.92 ((~(v118(constB45) <=> (~(v84(constB45, 1) | (~v84(constB45, 2)) | (~v84(constB45, 0)))))) | (~v118(constB45)) | (~(v84(constB45, 1) | (~v84(constB45, 2)) | (~v84(constB45, 0))))),
% 14.78/9.92 inference(tautology,[status(thm)],[])).
% 14.78/9.92 tff(8293,plain,
% 14.78/9.92 (~v118(constB45)),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8292, 8291, 8271])).
% 14.78/9.92 tff(8294,plain,
% 14.78/9.92 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB45) <=> (~(v84(constB45, 1) | v84(constB45, 0) | (~v84(constB45, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB45) <=> (~(v84(constB45, 1) | v84(constB45, 0) | (~v84(constB45, 2))))))),
% 14.78/9.92 inference(rewrite,[status(thm)],[])).
% 14.78/9.92 tff(8295,plain,
% 14.78/9.92 ((v117(constB45) <=> (~(v84(constB45, 0) | v84(constB45, 1) | (~v84(constB45, 2))))) <=> (v117(constB45) <=> (~(v84(constB45, 1) | v84(constB45, 0) | (~v84(constB45, 2)))))),
% 14.78/9.92 inference(rewrite,[status(thm)],[])).
% 14.78/9.92 tff(8296,plain,
% 14.78/9.92 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB45) <=> (~(v84(constB45, 0) | v84(constB45, 1) | (~v84(constB45, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB45) <=> (~(v84(constB45, 1) | v84(constB45, 0) | (~v84(constB45, 2))))))),
% 14.78/9.92 inference(monotonicity,[status(thm)],[8295])).
% 14.78/9.92 tff(8297,plain,
% 14.78/9.92 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB45) <=> (~(v84(constB45, 0) | v84(constB45, 1) | (~v84(constB45, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB45) <=> (~(v84(constB45, 1) | v84(constB45, 0) | (~v84(constB45, 2))))))),
% 14.78/9.92 inference(transitivity,[status(thm)],[8296, 8294])).
% 14.78/9.92 tff(8298,plain,
% 14.78/9.92 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB45) <=> (~(v84(constB45, 0) | v84(constB45, 1) | (~v84(constB45, 2)))))),
% 14.78/9.92 inference(quant_inst,[status(thm)],[])).
% 14.78/9.92 tff(8299,plain,
% 14.78/9.92 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB45) <=> (~(v84(constB45, 1) | v84(constB45, 0) | (~v84(constB45, 2)))))),
% 14.78/9.92 inference(modus_ponens,[status(thm)],[8298, 8297])).
% 14.78/9.92 tff(8300,plain,
% 14.78/9.92 (v117(constB45) <=> (~(v84(constB45, 1) | v84(constB45, 0) | (~v84(constB45, 2))))),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8299, 1199])).
% 14.78/9.92 tff(8301,plain,
% 14.78/9.92 ((v84(constB45, 1) | v84(constB45, 0) | (~v84(constB45, 2))) | (~v84(constB45, 1))),
% 14.78/9.92 inference(tautology,[status(thm)],[])).
% 14.78/9.92 tff(8302,plain,
% 14.78/9.92 (v84(constB45, 1) | v84(constB45, 0) | (~v84(constB45, 2))),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8301, 8289])).
% 14.78/9.92 tff(8303,plain,
% 14.78/9.92 ((~(v117(constB45) <=> (~(v84(constB45, 1) | v84(constB45, 0) | (~v84(constB45, 2)))))) | (~v117(constB45)) | (~(v84(constB45, 1) | v84(constB45, 0) | (~v84(constB45, 2))))),
% 14.78/9.92 inference(tautology,[status(thm)],[])).
% 14.78/9.92 tff(8304,plain,
% 14.78/9.92 (~v117(constB45)),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8303, 8302, 8300])).
% 14.78/9.92 tff(8305,plain,
% 14.78/9.92 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB45) <=> (~(v84(constB45, 2) | (~v84(constB45, 1)) | (~v84(constB45, 0)))))),
% 14.78/9.92 inference(quant_inst,[status(thm)],[])).
% 14.78/9.92 tff(8306,plain,
% 14.78/9.92 (v116(constB45) <=> (~(v84(constB45, 2) | (~v84(constB45, 1)) | (~v84(constB45, 0))))),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8305, 911])).
% 14.78/9.92 tff(8307,plain,
% 14.78/9.92 ((v84(constB45, 2) | (~v84(constB45, 1)) | (~v84(constB45, 0))) | (~v84(constB45, 2))),
% 14.78/9.92 inference(tautology,[status(thm)],[])).
% 14.78/9.92 tff(8308,plain,
% 14.78/9.92 (v84(constB45, 2) | (~v84(constB45, 1)) | (~v84(constB45, 0))),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8307, 8260])).
% 14.78/9.92 tff(8309,plain,
% 14.78/9.92 ((~(v116(constB45) <=> (~(v84(constB45, 2) | (~v84(constB45, 1)) | (~v84(constB45, 0)))))) | (~v116(constB45)) | (~(v84(constB45, 2) | (~v84(constB45, 1)) | (~v84(constB45, 0))))),
% 14.78/9.92 inference(tautology,[status(thm)],[])).
% 14.78/9.92 tff(8310,plain,
% 14.78/9.92 (~v116(constB45)),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8309, 8308, 8306])).
% 14.78/9.92 tff(8311,plain,
% 14.78/9.92 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB45) <=> (~(v84(constB45, 2) | v84(constB45, 0) | (~v84(constB45, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB45) <=> (~(v84(constB45, 2) | v84(constB45, 0) | (~v84(constB45, 1))))))),
% 14.78/9.92 inference(rewrite,[status(thm)],[])).
% 14.78/9.92 tff(8312,plain,
% 14.78/9.92 ((v115(constB45) <=> (~(v84(constB45, 0) | v84(constB45, 2) | (~v84(constB45, 1))))) <=> (v115(constB45) <=> (~(v84(constB45, 2) | v84(constB45, 0) | (~v84(constB45, 1)))))),
% 14.78/9.92 inference(rewrite,[status(thm)],[])).
% 14.78/9.92 tff(8313,plain,
% 14.78/9.92 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB45) <=> (~(v84(constB45, 0) | v84(constB45, 2) | (~v84(constB45, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB45) <=> (~(v84(constB45, 2) | v84(constB45, 0) | (~v84(constB45, 1))))))),
% 14.78/9.92 inference(monotonicity,[status(thm)],[8312])).
% 14.78/9.92 tff(8314,plain,
% 14.78/9.92 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB45) <=> (~(v84(constB45, 0) | v84(constB45, 2) | (~v84(constB45, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB45) <=> (~(v84(constB45, 2) | v84(constB45, 0) | (~v84(constB45, 1))))))),
% 14.78/9.92 inference(transitivity,[status(thm)],[8313, 8311])).
% 14.78/9.92 tff(8315,plain,
% 14.78/9.92 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB45) <=> (~(v84(constB45, 0) | v84(constB45, 2) | (~v84(constB45, 1)))))),
% 14.78/9.92 inference(quant_inst,[status(thm)],[])).
% 14.78/9.92 tff(8316,plain,
% 14.78/9.92 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB45) <=> (~(v84(constB45, 2) | v84(constB45, 0) | (~v84(constB45, 1)))))),
% 14.78/9.92 inference(modus_ponens,[status(thm)],[8315, 8314])).
% 14.78/9.92 tff(8317,plain,
% 14.78/9.92 (v115(constB45) <=> (~(v84(constB45, 2) | v84(constB45, 0) | (~v84(constB45, 1))))),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8316, 985])).
% 14.78/9.92 tff(8318,plain,
% 14.78/9.92 ((v84(constB45, 2) | v84(constB45, 0) | (~v84(constB45, 1))) | (~v84(constB45, 2))),
% 14.78/9.92 inference(tautology,[status(thm)],[])).
% 14.78/9.92 tff(8319,plain,
% 14.78/9.92 (v84(constB45, 2) | v84(constB45, 0) | (~v84(constB45, 1))),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8318, 8260])).
% 14.78/9.92 tff(8320,plain,
% 14.78/9.92 ((~(v115(constB45) <=> (~(v84(constB45, 2) | v84(constB45, 0) | (~v84(constB45, 1)))))) | (~v115(constB45)) | (~(v84(constB45, 2) | v84(constB45, 0) | (~v84(constB45, 1))))),
% 14.78/9.92 inference(tautology,[status(thm)],[])).
% 14.78/9.92 tff(8321,plain,
% 14.78/9.92 (~v115(constB45)),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8320, 8319, 8317])).
% 14.78/9.92 tff(8322,plain,
% 14.78/9.92 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB45) <=> (~(v84(constB45, 1) | v84(constB45, 2) | (~v84(constB45, 0)))))),
% 14.78/9.92 inference(quant_inst,[status(thm)],[])).
% 14.78/9.92 tff(8323,plain,
% 14.78/9.92 (v114(constB45) <=> (~(v84(constB45, 1) | v84(constB45, 2) | (~v84(constB45, 0))))),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8322, 1064])).
% 14.78/9.92 tff(8324,plain,
% 14.78/9.92 ((v84(constB45, 1) | v84(constB45, 2) | (~v84(constB45, 0))) | (~v84(constB45, 2))),
% 14.78/9.92 inference(tautology,[status(thm)],[])).
% 14.78/9.92 tff(8325,plain,
% 14.78/9.92 (v84(constB45, 1) | v84(constB45, 2) | (~v84(constB45, 0))),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8324, 8260])).
% 14.78/9.92 tff(8326,plain,
% 14.78/9.92 ((~(v114(constB45) <=> (~(v84(constB45, 1) | v84(constB45, 2) | (~v84(constB45, 0)))))) | (~v114(constB45)) | (~(v84(constB45, 1) | v84(constB45, 2) | (~v84(constB45, 0))))),
% 14.78/9.92 inference(tautology,[status(thm)],[])).
% 14.78/9.92 tff(8327,plain,
% 14.78/9.92 (~v114(constB45)),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8326, 8325, 8323])).
% 14.78/9.92 tff(8328,plain,
% 14.78/9.92 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB45) | v114(constB45) | v115(constB45) | v116(constB45) | v117(constB45) | v118(constB45) | (~(v124(constB45, 2) | v124(constB45, 1) | (~v124(constB45, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB45) | v114(constB45) | v115(constB45) | v116(constB45) | v117(constB45) | v118(constB45) | (~(v124(constB45, 2) | v124(constB45, 1) | (~v124(constB45, 0)))))),
% 14.78/9.92 inference(rewrite,[status(thm)],[])).
% 14.78/9.92 tff(8329,plain,
% 14.78/9.92 ((v118(constB45) | v117(constB45) | v116(constB45) | v115(constB45) | v114(constB45) | v113(constB45) | (~(v124(constB45, 2) | v124(constB45, 1) | (~v124(constB45, 0))))) <=> (v113(constB45) | v114(constB45) | v115(constB45) | v116(constB45) | v117(constB45) | v118(constB45) | (~(v124(constB45, 2) | v124(constB45, 1) | (~v124(constB45, 0)))))),
% 14.78/9.92 inference(rewrite,[status(thm)],[])).
% 14.78/9.92 tff(8330,plain,
% 14.78/9.92 ((~(v124(constB45, 1) | v124(constB45, 2) | (~v124(constB45, 0)))) <=> (~(v124(constB45, 2) | v124(constB45, 1) | (~v124(constB45, 0))))),
% 14.78/9.92 inference(rewrite,[status(thm)],[])).
% 14.78/9.92 tff(8331,plain,
% 14.78/9.92 ((v118(constB45) | v117(constB45) | v116(constB45) | v115(constB45) | v114(constB45) | v113(constB45) | (~(v124(constB45, 1) | v124(constB45, 2) | (~v124(constB45, 0))))) <=> (v118(constB45) | v117(constB45) | v116(constB45) | v115(constB45) | v114(constB45) | v113(constB45) | (~(v124(constB45, 2) | v124(constB45, 1) | (~v124(constB45, 0)))))),
% 14.78/9.92 inference(monotonicity,[status(thm)],[8330])).
% 14.78/9.92 tff(8332,plain,
% 14.78/9.92 ((v118(constB45) | v117(constB45) | v116(constB45) | v115(constB45) | v114(constB45) | v113(constB45) | (~(v124(constB45, 1) | v124(constB45, 2) | (~v124(constB45, 0))))) <=> (v113(constB45) | v114(constB45) | v115(constB45) | v116(constB45) | v117(constB45) | v118(constB45) | (~(v124(constB45, 2) | v124(constB45, 1) | (~v124(constB45, 0)))))),
% 14.78/9.92 inference(transitivity,[status(thm)],[8331, 8329])).
% 14.78/9.92 tff(8333,plain,
% 14.78/9.92 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB45) | v117(constB45) | v116(constB45) | v115(constB45) | v114(constB45) | v113(constB45) | (~(v124(constB45, 1) | v124(constB45, 2) | (~v124(constB45, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB45) | v114(constB45) | v115(constB45) | v116(constB45) | v117(constB45) | v118(constB45) | (~(v124(constB45, 2) | v124(constB45, 1) | (~v124(constB45, 0))))))),
% 14.78/9.92 inference(monotonicity,[status(thm)],[8332])).
% 14.78/9.92 tff(8334,plain,
% 14.78/9.92 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB45) | v117(constB45) | v116(constB45) | v115(constB45) | v114(constB45) | v113(constB45) | (~(v124(constB45, 1) | v124(constB45, 2) | (~v124(constB45, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB45) | v114(constB45) | v115(constB45) | v116(constB45) | v117(constB45) | v118(constB45) | (~(v124(constB45, 2) | v124(constB45, 1) | (~v124(constB45, 0)))))),
% 14.78/9.92 inference(transitivity,[status(thm)],[8333, 8328])).
% 14.78/9.92 tff(8335,plain,
% 14.78/9.92 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB45) | v117(constB45) | v116(constB45) | v115(constB45) | v114(constB45) | v113(constB45) | (~(v124(constB45, 1) | v124(constB45, 2) | (~v124(constB45, 0)))))),
% 14.78/9.92 inference(quant_inst,[status(thm)],[])).
% 14.78/9.92 tff(8336,plain,
% 14.78/9.92 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB45) | v114(constB45) | v115(constB45) | v116(constB45) | v117(constB45) | v118(constB45) | (~(v124(constB45, 2) | v124(constB45, 1) | (~v124(constB45, 0))))),
% 14.78/9.92 inference(modus_ponens,[status(thm)],[8335, 8334])).
% 14.78/9.92 tff(8337,plain,
% 14.78/9.92 (v113(constB45) | v114(constB45) | v115(constB45) | v116(constB45) | v117(constB45) | v118(constB45) | (~(v124(constB45, 2) | v124(constB45, 1) | (~v124(constB45, 0))))),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8336, 2777])).
% 14.78/9.92 tff(8338,plain,
% 14.78/9.92 (~(v124(constB45, 2) | v124(constB45, 1) | (~v124(constB45, 0)))),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8337, 8327, 8321, 8310, 8304, 8293, 8264])).
% 14.78/9.92 tff(8339,plain,
% 14.78/9.92 ((v124(constB45, 2) | v124(constB45, 1) | (~v124(constB45, 0))) | (~v124(constB45, 2))),
% 14.78/9.92 inference(tautology,[status(thm)],[])).
% 14.78/9.92 tff(8340,plain,
% 14.78/9.92 (~v124(constB45, 2)),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8339, 8338])).
% 14.78/9.92 tff(8341,plain,
% 14.78/9.92 (((~v121(constB45, 2)) <=> v124(constB45, 2)) | (~v121(constB45, 2)) | v124(constB45, 2)),
% 14.78/9.92 inference(tautology,[status(thm)],[])).
% 14.78/9.92 tff(8342,plain,
% 14.78/9.92 (~v121(constB45, 2)),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8341, 8340, 8064])).
% 14.78/9.92 tff(8343,plain,
% 14.78/9.92 (((~v123(constB46, 2)) <=> v121(constB45, 2)) | (~v123(constB46, 2)) | v121(constB45, 2)),
% 14.78/9.92 inference(tautology,[status(thm)],[])).
% 14.78/9.92 tff(8344,plain,
% 14.78/9.92 (~v123(constB46, 2)),
% 14.78/9.92 inference(unit_resolution,[status(thm)],[8343, 8342, 8050])).
% 14.78/9.92 tff(8345,plain,
% 14.78/9.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB45, constB46)) | (v94(constB46) <=> (~((~v95(constB46)) | (~v104(constB46))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB45, constB46)) | (v94(constB46) <=> (~((~v95(constB46)) | (~v104(constB46))))))),
% 14.78/9.92 inference(rewrite,[status(thm)],[])).
% 14.78/9.92 tff(8346,plain,
% 14.78/9.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB45, constB46)) | (v94(constB46) <=> (~((~v95(constB46)) | (~v104(constB46))))))),
% 14.78/9.92 inference(quant_inst,[status(thm)],[])).
% 14.78/9.92 tff(8347,plain,
% 14.78/9.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB45, constB46)) | (v94(constB46) <=> (~((~v95(constB46)) | (~v104(constB46)))))),
% 14.78/9.93 inference(modus_ponens,[status(thm)],[8346, 8345])).
% 14.78/9.93 tff(8348,plain,
% 14.78/9.93 (v94(constB46) <=> (~((~v95(constB46)) | (~v104(constB46))))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8347, 459, 770])).
% 14.78/9.93 tff(8349,plain,
% 14.78/9.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46))))))),
% 14.78/9.93 inference(rewrite,[status(thm)],[])).
% 14.78/9.93 tff(8350,plain,
% 14.78/9.93 (((~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v96(constB46)) | (~v1(constB46)))))) <=> ((~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46))))))),
% 14.78/9.93 inference(rewrite,[status(thm)],[])).
% 14.78/9.93 tff(8351,plain,
% 14.78/9.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v96(constB46)) | (~v1(constB46))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46)))))))),
% 14.78/9.93 inference(monotonicity,[status(thm)],[8350])).
% 14.78/9.93 tff(8352,plain,
% 14.78/9.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v96(constB46)) | (~v1(constB46))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46))))))),
% 14.78/9.93 inference(transitivity,[status(thm)],[8351, 8349])).
% 14.78/9.93 tff(8353,plain,
% 14.78/9.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v96(constB46)) | (~v1(constB46))))))),
% 14.78/9.93 inference(quant_inst,[status(thm)],[])).
% 14.78/9.93 tff(8354,plain,
% 14.78/9.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46)))))),
% 14.78/9.93 inference(modus_ponens,[status(thm)],[8353, 8352])).
% 14.78/9.93 tff(8355,plain,
% 14.78/9.93 (v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46))))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8354, 459, 790])).
% 14.78/9.93 tff(8356,plain,
% 14.78/9.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB45, constB46)) | ((~v96(constB46)) <=> v98(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB45, constB46)) | ((~v96(constB46)) <=> v98(constB46)))),
% 14.78/9.93 inference(rewrite,[status(thm)],[])).
% 14.78/9.93 tff(8357,plain,
% 14.78/9.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB45, constB46)) | ((~v96(constB46)) <=> v98(constB46)))),
% 14.78/9.93 inference(quant_inst,[status(thm)],[])).
% 14.78/9.93 tff(8358,plain,
% 14.78/9.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB45, constB46)) | ((~v96(constB46)) <=> v98(constB46))),
% 14.78/9.93 inference(modus_ponens,[status(thm)],[8357, 8356])).
% 14.78/9.93 tff(8359,plain,
% 14.78/9.93 ((~v96(constB46)) <=> v98(constB46)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8358, 459, 2332])).
% 14.78/9.93 tff(8360,plain,
% 14.78/9.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB45, constB46)) | (v98(constB46) <=> v1(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB45, constB46)) | (v98(constB46) <=> v1(constB45)))),
% 14.78/9.93 inference(rewrite,[status(thm)],[])).
% 14.78/9.93 tff(8361,plain,
% 14.78/9.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB45, constB46)) | (v98(constB46) <=> v1(constB45)))),
% 14.78/9.93 inference(quant_inst,[status(thm)],[])).
% 14.78/9.93 tff(8362,plain,
% 14.78/9.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB45, constB46)) | (v98(constB46) <=> v1(constB45))),
% 14.78/9.93 inference(modus_ponens,[status(thm)],[8361, 8360])).
% 14.78/9.93 tff(8363,plain,
% 14.78/9.93 (v98(constB46) <=> v1(constB45)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8362, 459, 2346])).
% 14.78/9.93 tff(8364,plain,
% 14.78/9.93 ((~(v98(constB46) <=> v1(constB45))) | (~v98(constB46)) | v1(constB45)),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8365,plain,
% 14.78/9.93 ((~(v98(constB46) <=> v1(constB45))) | (~v98(constB46))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8364, 523])).
% 14.78/9.93 tff(8366,plain,
% 14.78/9.93 (~v98(constB46)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8365, 8363])).
% 14.78/9.93 tff(8367,plain,
% 14.78/9.93 ((~((~v96(constB46)) <=> v98(constB46))) | v96(constB46) | v98(constB46)),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8368,plain,
% 14.78/9.93 (v96(constB46)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8367, 8366, 8359])).
% 14.78/9.93 tff(8369,plain,
% 14.78/9.93 ((~((~v1(constB46)) | (~v96(constB46)))) | (~v1(constB46)) | (~v96(constB46))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8370,plain,
% 14.78/9.93 ((~((~v1(constB46)) | (~v96(constB46)))) | (~v96(constB46))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8369, 420])).
% 14.78/9.93 tff(8371,plain,
% 14.78/9.93 (~((~v1(constB46)) | (~v96(constB46)))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8370, 8368])).
% 14.78/9.93 tff(8372,plain,
% 14.78/9.93 ((~(v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46)))))) | v95(constB46) | ((~v1(constB46)) | (~v96(constB46)))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8373,plain,
% 14.78/9.93 (v95(constB46)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8372, 8371, 8355])).
% 14.78/9.93 tff(8374,plain,
% 14.78/9.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB45, constB46)) | (v104(constB46) <=> v102(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB45, constB46)) | (v104(constB46) <=> v102(constB45)))),
% 14.78/9.93 inference(rewrite,[status(thm)],[])).
% 14.78/9.93 tff(8375,plain,
% 14.78/9.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB45, constB46)) | (v104(constB46) <=> v102(constB45)))),
% 14.78/9.93 inference(quant_inst,[status(thm)],[])).
% 14.78/9.93 tff(8376,plain,
% 14.78/9.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB45, constB46)) | (v104(constB46) <=> v102(constB45))),
% 14.78/9.93 inference(modus_ponens,[status(thm)],[8375, 8374])).
% 14.78/9.93 tff(8377,plain,
% 14.78/9.93 (v104(constB46) <=> v102(constB45)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8376, 459, 2373])).
% 14.78/9.93 tff(8378,plain,
% 14.78/9.93 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB45) <=> (v105(constB45) | v106(constB45)))),
% 14.78/9.93 inference(quant_inst,[status(thm)],[])).
% 14.78/9.93 tff(8379,plain,
% 14.78/9.93 (v102(constB45) <=> (v105(constB45) | v106(constB45))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8378, 2384])).
% 14.78/9.93 tff(8380,plain,
% 14.78/9.93 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB45) <=> (~((~v107(constB45)) | (~v120(constB45)))))),
% 14.78/9.93 inference(quant_inst,[status(thm)],[])).
% 14.78/9.93 tff(8381,plain,
% 14.78/9.93 (v106(constB45) <=> (~((~v107(constB45)) | (~v120(constB45))))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8380, 2396])).
% 14.78/9.93 tff(8382,plain,
% 14.78/9.93 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB45) <=> (v108(constB45) | v119(constB45)))),
% 14.78/9.93 inference(quant_inst,[status(thm)],[])).
% 14.78/9.93 tff(8383,plain,
% 14.78/9.93 (v107(constB45) <=> (v108(constB45) | v119(constB45))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8382, 2405])).
% 14.78/9.93 tff(8384,plain,
% 14.78/9.93 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB45) <=> (~(v84(constB45, 0) | (~v84(constB45, 1)) | (~v84(constB45, 2)))))),
% 14.78/9.93 inference(quant_inst,[status(thm)],[])).
% 14.78/9.93 tff(8385,plain,
% 14.78/9.93 (v119(constB45) <=> (~(v84(constB45, 0) | (~v84(constB45, 1)) | (~v84(constB45, 2))))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8384, 2849])).
% 14.78/9.93 tff(8386,plain,
% 14.78/9.93 ((((~v84(constB45, 1)) <=> v84(constB44, 1)) | ((~v84(constB45, 2)) <=> v84(constB44, 2)) | ((~v84(constB45, 0)) <=> v84(constB44, 0))) | (~((~v84(constB45, 0)) <=> v84(constB44, 0)))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8387,plain,
% 14.78/9.93 (~((~v84(constB45, 0)) <=> v84(constB44, 0))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8386, 8094])).
% 14.78/9.93 tff(8388,plain,
% 14.78/9.93 ((((~v123(constB44, 2)) <=> v121(constB43, 2)) | ((~v123(constB44, 1)) <=> v121(constB43, 1)) | ((~v123(constB44, 0)) <=> v121(constB43, 0))) | (~((~v123(constB44, 0)) <=> v121(constB43, 0)))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8389,plain,
% 14.78/9.93 (~((~v123(constB44, 0)) <=> v121(constB43, 0))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8388, 8100])).
% 14.78/9.93 tff(8390,plain,
% 14.78/9.93 ((((~v121(constB43, 2)) <=> v124(constB43, 2)) | ((~v121(constB43, 0)) <=> v124(constB43, 0)) | ((~v121(constB43, 1)) <=> v124(constB43, 1))) | (~((~v121(constB43, 0)) <=> v124(constB43, 0)))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8391,plain,
% 14.78/9.93 (~((~v121(constB43, 0)) <=> v124(constB43, 0))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8390, 8114])).
% 14.78/9.93 tff(8392,plain,
% 14.78/9.93 ((v124(constB43, 0) | (~v124(constB43, 2)) | (~v124(constB43, 1))) | (~v124(constB43, 0))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8393,plain,
% 14.78/9.93 (~v124(constB43, 0)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8392, 8168])).
% 14.78/9.93 tff(8394,plain,
% 14.78/9.93 (((~v121(constB43, 0)) <=> v124(constB43, 0)) | (~v121(constB43, 0)) | v124(constB43, 0)),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8395,plain,
% 14.78/9.93 (~v121(constB43, 0)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8394, 8393, 8391])).
% 14.78/9.93 tff(8396,plain,
% 14.78/9.93 (((~v123(constB44, 0)) <=> v121(constB43, 0)) | (~v123(constB44, 0)) | v121(constB43, 0)),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8397,plain,
% 14.78/9.93 (~v123(constB44, 0)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8396, 8395, 8389])).
% 14.78/9.93 tff(8398,plain,
% 14.78/9.93 ((((~v84(constB44, 2)) <=> v123(constB44, 2)) | ((~v84(constB44, 1)) <=> v123(constB44, 1)) | ((~v84(constB44, 0)) <=> v123(constB44, 0))) | (~((~v84(constB44, 0)) <=> v123(constB44, 0)))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8399,plain,
% 14.78/9.93 (~((~v84(constB44, 0)) <=> v123(constB44, 0))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8398, 8254])).
% 14.78/9.93 tff(8400,plain,
% 14.78/9.93 (((~v84(constB44, 0)) <=> v123(constB44, 0)) | (~v84(constB44, 0)) | v123(constB44, 0)),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8401,plain,
% 14.78/9.93 (~v84(constB44, 0)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8400, 8399, 8397])).
% 14.78/9.93 tff(8402,plain,
% 14.78/9.93 (((~v84(constB45, 0)) <=> v84(constB44, 0)) | (~v84(constB45, 0)) | v84(constB44, 0)),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8403,plain,
% 14.78/9.93 (~v84(constB45, 0)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8402, 8401, 8387])).
% 14.78/9.93 tff(8404,plain,
% 14.78/9.93 ((~(v84(constB45, 0) | (~v84(constB45, 1)) | (~v84(constB45, 2)))) | v84(constB45, 0) | (~v84(constB45, 1)) | (~v84(constB45, 2))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8405,plain,
% 14.78/9.93 (~(v84(constB45, 0) | (~v84(constB45, 1)) | (~v84(constB45, 2)))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8404, 8289, 8403, 8260])).
% 14.78/9.93 tff(8406,plain,
% 14.78/9.93 ((~(v119(constB45) <=> (~(v84(constB45, 0) | (~v84(constB45, 1)) | (~v84(constB45, 2)))))) | v119(constB45) | (v84(constB45, 0) | (~v84(constB45, 1)) | (~v84(constB45, 2)))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8407,plain,
% 14.78/9.93 (v119(constB45)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8406, 8405, 8385])).
% 14.78/9.93 tff(8408,plain,
% 14.78/9.93 ((v108(constB45) | v119(constB45)) | (~v119(constB45))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8409,plain,
% 14.78/9.93 (v108(constB45) | v119(constB45)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8408, 8407])).
% 14.78/9.93 tff(8410,plain,
% 14.78/9.93 ((~(v107(constB45) <=> (v108(constB45) | v119(constB45)))) | v107(constB45) | (~(v108(constB45) | v119(constB45)))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8411,plain,
% 14.78/9.93 (v107(constB45)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8410, 8409, 8383])).
% 14.78/9.93 tff(8412,plain,
% 14.78/9.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB45)) <=> v105(constB45))),
% 14.78/9.93 inference(quant_inst,[status(thm)],[])).
% 14.78/9.93 tff(8413,plain,
% 14.78/9.93 ((~v120(constB45)) <=> v105(constB45)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8412, 2484])).
% 14.78/9.93 tff(8414,plain,
% 14.78/9.93 ((~((~v120(constB45)) <=> v105(constB45))) | v120(constB45) | v105(constB45)),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8415,plain,
% 14.78/9.93 ((~((~v120(constB45)) <=> v105(constB45))) | v120(constB45)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8414, 8057])).
% 14.78/9.93 tff(8416,plain,
% 14.78/9.93 (v120(constB45)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8415, 8413])).
% 14.78/9.93 tff(8417,plain,
% 14.78/9.93 ((~((~v107(constB45)) | (~v120(constB45)))) | (~v107(constB45)) | (~v120(constB45))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8418,plain,
% 14.78/9.93 ((~((~v107(constB45)) | (~v120(constB45)))) | (~v107(constB45))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8417, 8416])).
% 14.78/9.93 tff(8419,plain,
% 14.78/9.93 (~((~v107(constB45)) | (~v120(constB45)))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8418, 8411])).
% 14.78/9.93 tff(8420,plain,
% 14.78/9.93 ((~(v106(constB45) <=> (~((~v107(constB45)) | (~v120(constB45)))))) | v106(constB45) | ((~v107(constB45)) | (~v120(constB45)))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8421,plain,
% 14.78/9.93 (v106(constB45)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8420, 8419, 8381])).
% 14.78/9.93 tff(8422,plain,
% 14.78/9.93 ((v105(constB45) | v106(constB45)) | (~v106(constB45))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8423,plain,
% 14.78/9.93 (v105(constB45) | v106(constB45)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8422, 8421])).
% 14.78/9.93 tff(8424,plain,
% 14.78/9.93 ((~(v102(constB45) <=> (v105(constB45) | v106(constB45)))) | v102(constB45) | (~(v105(constB45) | v106(constB45)))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8425,plain,
% 14.78/9.93 (v102(constB45)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8424, 8423, 8379])).
% 14.78/9.93 tff(8426,plain,
% 14.78/9.93 ((~(v104(constB46) <=> v102(constB45))) | v104(constB46) | (~v102(constB45))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8427,plain,
% 14.78/9.93 (v104(constB46)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8426, 8425, 8377])).
% 14.78/9.93 tff(8428,plain,
% 14.78/9.93 ((~((~v95(constB46)) | (~v104(constB46)))) | (~v95(constB46)) | (~v104(constB46))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8429,plain,
% 14.78/9.93 (~((~v95(constB46)) | (~v104(constB46)))),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8428, 8427, 8373])).
% 14.78/9.93 tff(8430,plain,
% 14.78/9.93 ((~(v94(constB46) <=> (~((~v95(constB46)) | (~v104(constB46)))))) | v94(constB46) | ((~v95(constB46)) | (~v104(constB46)))),
% 14.78/9.93 inference(tautology,[status(thm)],[])).
% 14.78/9.93 tff(8431,plain,
% 14.78/9.93 (v94(constB46)),
% 14.78/9.93 inference(unit_resolution,[status(thm)],[8430, 8429, 8348])).
% 14.78/9.93 tff(8432,plain,
% 14.78/9.93 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB46)) | (~(((~v84(constB46, 0)) <=> v123(constB46, 0)) | ((~v84(constB46, 2)) <=> v123(constB46, 2)) | ((~v84(constB46, 1)) <=> v123(constB46, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB46)) | (~(((~v84(constB46, 0)) <=> v123(constB46, 0)) | ((~v84(constB46, 2)) <=> v123(constB46, 2)) | ((~v84(constB46, 1)) <=> v123(constB46, 1)))))),
% 14.78/9.94 inference(rewrite,[status(thm)],[])).
% 14.78/9.94 tff(8433,plain,
% 14.78/9.94 (((~v94(constB46)) | (~(((~v84(constB46, 2)) <=> v123(constB46, 2)) | ((~v84(constB46, 1)) <=> v123(constB46, 1)) | ((~v84(constB46, 0)) <=> v123(constB46, 0))))) <=> ((~v94(constB46)) | (~(((~v84(constB46, 0)) <=> v123(constB46, 0)) | ((~v84(constB46, 2)) <=> v123(constB46, 2)) | ((~v84(constB46, 1)) <=> v123(constB46, 1)))))),
% 14.78/9.94 inference(rewrite,[status(thm)],[])).
% 14.78/9.94 tff(8434,plain,
% 14.78/9.94 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB46)) | (~(((~v84(constB46, 2)) <=> v123(constB46, 2)) | ((~v84(constB46, 1)) <=> v123(constB46, 1)) | ((~v84(constB46, 0)) <=> v123(constB46, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB46)) | (~(((~v84(constB46, 0)) <=> v123(constB46, 0)) | ((~v84(constB46, 2)) <=> v123(constB46, 2)) | ((~v84(constB46, 1)) <=> v123(constB46, 1))))))),
% 14.78/9.94 inference(monotonicity,[status(thm)],[8433])).
% 14.78/9.94 tff(8435,plain,
% 14.78/9.94 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB46)) | (~(((~v84(constB46, 2)) <=> v123(constB46, 2)) | ((~v84(constB46, 1)) <=> v123(constB46, 1)) | ((~v84(constB46, 0)) <=> v123(constB46, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB46)) | (~(((~v84(constB46, 0)) <=> v123(constB46, 0)) | ((~v84(constB46, 2)) <=> v123(constB46, 2)) | ((~v84(constB46, 1)) <=> v123(constB46, 1)))))),
% 14.78/9.94 inference(transitivity,[status(thm)],[8434, 8432])).
% 14.78/9.94 tff(8436,plain,
% 14.78/9.94 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB46)) | (~(((~v84(constB46, 2)) <=> v123(constB46, 2)) | ((~v84(constB46, 1)) <=> v123(constB46, 1)) | ((~v84(constB46, 0)) <=> v123(constB46, 0)))))),
% 14.78/9.94 inference(quant_inst,[status(thm)],[])).
% 14.78/9.94 tff(8437,plain,
% 14.78/9.94 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB46)) | (~(((~v84(constB46, 0)) <=> v123(constB46, 0)) | ((~v84(constB46, 2)) <=> v123(constB46, 2)) | ((~v84(constB46, 1)) <=> v123(constB46, 1))))),
% 14.78/9.94 inference(modus_ponens,[status(thm)],[8436, 8435])).
% 14.78/9.94 tff(8438,plain,
% 14.78/9.94 ((~v94(constB46)) | (~(((~v84(constB46, 0)) <=> v123(constB46, 0)) | ((~v84(constB46, 2)) <=> v123(constB46, 2)) | ((~v84(constB46, 1)) <=> v123(constB46, 1))))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8437, 2517])).
% 14.78/9.94 tff(8439,plain,
% 14.78/9.94 (~(((~v84(constB46, 0)) <=> v123(constB46, 0)) | ((~v84(constB46, 2)) <=> v123(constB46, 2)) | ((~v84(constB46, 1)) <=> v123(constB46, 1)))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8438, 8431])).
% 14.78/9.94 tff(8440,plain,
% 14.78/9.94 ((((~v84(constB46, 0)) <=> v123(constB46, 0)) | ((~v84(constB46, 2)) <=> v123(constB46, 2)) | ((~v84(constB46, 1)) <=> v123(constB46, 1))) | (~((~v84(constB46, 2)) <=> v123(constB46, 2)))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8441,plain,
% 14.78/9.94 (~((~v84(constB46, 2)) <=> v123(constB46, 2))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8440, 8439])).
% 14.78/9.94 tff(8442,plain,
% 14.78/9.94 (((~v84(constB46, 2)) <=> v123(constB46, 2)) | (~v84(constB46, 2)) | v123(constB46, 2)),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8443,plain,
% 14.78/9.94 (~v84(constB46, 2)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8442, 8441, 8344])).
% 14.78/9.94 tff(8444,plain,
% 14.78/9.94 (((~v84(constB47, 2)) <=> v84(constB46, 2)) | (~v84(constB47, 2)) | v84(constB46, 2)),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8445,plain,
% 14.78/9.94 (~v84(constB47, 2)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8444, 8443, 8044])).
% 14.78/9.94 tff(8446,plain,
% 14.78/9.94 ((((~v84(constB47, 1)) <=> v84(constB46, 1)) | ((~v84(constB47, 2)) <=> v84(constB46, 2)) | ((~v84(constB47, 0)) <=> v84(constB46, 0))) | (~((~v84(constB47, 0)) <=> v84(constB46, 0)))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8447,plain,
% 14.78/9.94 (~((~v84(constB47, 0)) <=> v84(constB46, 0))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8446, 8042])).
% 14.78/9.94 tff(8448,plain,
% 14.78/9.94 ((((~v123(constB46, 2)) <=> v121(constB45, 2)) | ((~v123(constB46, 1)) <=> v121(constB45, 1)) | ((~v123(constB46, 0)) <=> v121(constB45, 0))) | (~((~v123(constB46, 0)) <=> v121(constB45, 0)))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8449,plain,
% 14.78/9.94 (~((~v123(constB46, 0)) <=> v121(constB45, 0))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8448, 8048])).
% 14.78/9.94 tff(8450,plain,
% 14.78/9.94 ((((~v121(constB45, 2)) <=> v124(constB45, 2)) | ((~v121(constB45, 0)) <=> v124(constB45, 0)) | ((~v121(constB45, 1)) <=> v124(constB45, 1))) | (~((~v121(constB45, 0)) <=> v124(constB45, 0)))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8451,plain,
% 14.78/9.94 (~((~v121(constB45, 0)) <=> v124(constB45, 0))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8450, 8062])).
% 14.78/9.94 tff(8452,plain,
% 14.78/9.94 ((v124(constB45, 2) | v124(constB45, 1) | (~v124(constB45, 0))) | v124(constB45, 0)),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8453,plain,
% 14.78/9.94 (v124(constB45, 0)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8452, 8338])).
% 14.78/9.94 tff(8454,plain,
% 14.78/9.94 (((~v121(constB45, 0)) <=> v124(constB45, 0)) | v121(constB45, 0) | (~v124(constB45, 0))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8455,plain,
% 14.78/9.94 (v121(constB45, 0)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8454, 8453, 8451])).
% 14.78/9.94 tff(8456,plain,
% 14.78/9.94 (((~v123(constB46, 0)) <=> v121(constB45, 0)) | v123(constB46, 0) | (~v121(constB45, 0))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8457,plain,
% 14.78/9.94 (v123(constB46, 0)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8456, 8455, 8449])).
% 14.78/9.94 tff(8458,plain,
% 14.78/9.94 ((((~v84(constB46, 0)) <=> v123(constB46, 0)) | ((~v84(constB46, 2)) <=> v123(constB46, 2)) | ((~v84(constB46, 1)) <=> v123(constB46, 1))) | (~((~v84(constB46, 0)) <=> v123(constB46, 0)))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8459,plain,
% 14.78/9.94 (~((~v84(constB46, 0)) <=> v123(constB46, 0))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8458, 8439])).
% 14.78/9.94 tff(8460,plain,
% 14.78/9.94 (((~v84(constB46, 0)) <=> v123(constB46, 0)) | v84(constB46, 0) | (~v123(constB46, 0))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8461,plain,
% 14.78/9.94 (v84(constB46, 0)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8460, 8459, 8457])).
% 14.78/9.94 tff(8462,plain,
% 14.78/9.94 (((~v84(constB47, 0)) <=> v84(constB46, 0)) | v84(constB47, 0) | (~v84(constB46, 0))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8463,plain,
% 14.78/9.94 (v84(constB47, 0)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8462, 8461, 8447])).
% 14.78/9.94 tff(8464,plain,
% 14.78/9.94 ((((~v84(constB47, 1)) <=> v84(constB46, 1)) | ((~v84(constB47, 2)) <=> v84(constB46, 2)) | ((~v84(constB47, 0)) <=> v84(constB46, 0))) | (~((~v84(constB47, 1)) <=> v84(constB46, 1)))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8465,plain,
% 14.78/9.94 (~((~v84(constB47, 1)) <=> v84(constB46, 1))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8464, 8042])).
% 14.78/9.94 tff(8466,plain,
% 14.78/9.94 ((((~v123(constB46, 2)) <=> v121(constB45, 2)) | ((~v123(constB46, 1)) <=> v121(constB45, 1)) | ((~v123(constB46, 0)) <=> v121(constB45, 0))) | (~((~v123(constB46, 1)) <=> v121(constB45, 1)))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8467,plain,
% 14.78/9.94 (~((~v123(constB46, 1)) <=> v121(constB45, 1))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8466, 8048])).
% 14.78/9.94 tff(8468,plain,
% 14.78/9.94 ((((~v121(constB45, 2)) <=> v124(constB45, 2)) | ((~v121(constB45, 0)) <=> v124(constB45, 0)) | ((~v121(constB45, 1)) <=> v124(constB45, 1))) | (~((~v121(constB45, 1)) <=> v124(constB45, 1)))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8469,plain,
% 14.78/9.94 (~((~v121(constB45, 1)) <=> v124(constB45, 1))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8468, 8062])).
% 14.78/9.94 tff(8470,plain,
% 14.78/9.94 ((v124(constB45, 2) | v124(constB45, 1) | (~v124(constB45, 0))) | (~v124(constB45, 1))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8471,plain,
% 14.78/9.94 (~v124(constB45, 1)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8470, 8338])).
% 14.78/9.94 tff(8472,plain,
% 14.78/9.94 (((~v121(constB45, 1)) <=> v124(constB45, 1)) | (~v121(constB45, 1)) | v124(constB45, 1)),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8473,plain,
% 14.78/9.94 (~v121(constB45, 1)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8472, 8471, 8469])).
% 14.78/9.94 tff(8474,plain,
% 14.78/9.94 (((~v123(constB46, 1)) <=> v121(constB45, 1)) | (~v123(constB46, 1)) | v121(constB45, 1)),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8475,plain,
% 14.78/9.94 (~v123(constB46, 1)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8474, 8473, 8467])).
% 14.78/9.94 tff(8476,plain,
% 14.78/9.94 ((((~v84(constB46, 0)) <=> v123(constB46, 0)) | ((~v84(constB46, 2)) <=> v123(constB46, 2)) | ((~v84(constB46, 1)) <=> v123(constB46, 1))) | (~((~v84(constB46, 1)) <=> v123(constB46, 1)))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8477,plain,
% 14.78/9.94 (~((~v84(constB46, 1)) <=> v123(constB46, 1))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8476, 8439])).
% 14.78/9.94 tff(8478,plain,
% 14.78/9.94 (((~v84(constB46, 1)) <=> v123(constB46, 1)) | (~v84(constB46, 1)) | v123(constB46, 1)),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8479,plain,
% 14.78/9.94 (~v84(constB46, 1)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8478, 8477, 8475])).
% 14.78/9.94 tff(8480,plain,
% 14.78/9.94 (((~v84(constB47, 1)) <=> v84(constB46, 1)) | (~v84(constB47, 1)) | v84(constB46, 1)),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8481,plain,
% 14.78/9.94 (~v84(constB47, 1)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8480, 8479, 8465])).
% 14.78/9.94 tff(8482,plain,
% 14.78/9.94 ((~(v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0)))) | v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8483,plain,
% 14.78/9.94 (~(v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0)))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8482, 8481, 8463, 8445])).
% 14.78/9.94 tff(8484,plain,
% 14.78/9.94 ((~(v114(constB47) <=> (~(v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0)))))) | v114(constB47) | (v84(constB47, 1) | v84(constB47, 2) | (~v84(constB47, 0)))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8485,plain,
% 14.78/9.94 (v114(constB47)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8484, 8483, 8014])).
% 14.78/9.94 tff(8486,plain,
% 14.78/9.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB47)) | (~(v124(constB47, 2) | v124(constB47, 0) | (~v124(constB47, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB47)) | (~(v124(constB47, 2) | v124(constB47, 0) | (~v124(constB47, 1)))))),
% 14.78/9.94 inference(rewrite,[status(thm)],[])).
% 14.78/9.94 tff(8487,plain,
% 14.78/9.94 (((~v114(constB47)) | (~(v124(constB47, 0) | v124(constB47, 2) | (~v124(constB47, 1))))) <=> ((~v114(constB47)) | (~(v124(constB47, 2) | v124(constB47, 0) | (~v124(constB47, 1)))))),
% 14.78/9.94 inference(rewrite,[status(thm)],[])).
% 14.78/9.94 tff(8488,plain,
% 14.78/9.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB47)) | (~(v124(constB47, 0) | v124(constB47, 2) | (~v124(constB47, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB47)) | (~(v124(constB47, 2) | v124(constB47, 0) | (~v124(constB47, 1))))))),
% 14.78/9.94 inference(monotonicity,[status(thm)],[8487])).
% 14.78/9.94 tff(8489,plain,
% 14.78/9.94 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB47)) | (~(v124(constB47, 0) | v124(constB47, 2) | (~v124(constB47, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB47)) | (~(v124(constB47, 2) | v124(constB47, 0) | (~v124(constB47, 1)))))),
% 14.78/9.94 inference(transitivity,[status(thm)],[8488, 8486])).
% 14.78/9.94 tff(8490,plain,
% 14.78/9.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB47)) | (~(v124(constB47, 0) | v124(constB47, 2) | (~v124(constB47, 1)))))),
% 14.78/9.94 inference(quant_inst,[status(thm)],[])).
% 14.78/9.94 tff(8491,plain,
% 14.78/9.94 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB47)) | (~(v124(constB47, 2) | v124(constB47, 0) | (~v124(constB47, 1))))),
% 14.78/9.94 inference(modus_ponens,[status(thm)],[8490, 8489])).
% 14.78/9.94 tff(8492,plain,
% 14.78/9.94 ((~v114(constB47)) | (~(v124(constB47, 2) | v124(constB47, 0) | (~v124(constB47, 1))))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8491, 2964])).
% 14.78/9.94 tff(8493,plain,
% 14.78/9.94 (~(v124(constB47, 2) | v124(constB47, 0) | (~v124(constB47, 1)))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8492, 8485])).
% 14.78/9.94 tff(8494,plain,
% 14.78/9.94 ((v124(constB47, 2) | v124(constB47, 0) | (~v124(constB47, 1))) | (~v124(constB47, 2))),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8495,plain,
% 14.78/9.94 (~v124(constB47, 2)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8494, 8493])).
% 14.78/9.94 tff(8496,plain,
% 14.78/9.94 (((~v121(constB47, 2)) <=> v124(constB47, 2)) | (~v121(constB47, 2)) | v124(constB47, 2)),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8497,plain,
% 14.78/9.94 (~v121(constB47, 2)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8496, 8495, 8012])).
% 14.78/9.94 tff(8498,plain,
% 14.78/9.94 (((~v123(constB48, 2)) <=> v121(constB47, 2)) | (~v123(constB48, 2)) | v121(constB47, 2)),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.94 tff(8499,plain,
% 14.78/9.94 (~v123(constB48, 2)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8498, 8497, 7998])).
% 14.78/9.94 tff(8500,plain,
% 14.78/9.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB47, constB48)) | (v94(constB48) <=> (~((~v95(constB48)) | (~v104(constB48))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB47, constB48)) | (v94(constB48) <=> (~((~v95(constB48)) | (~v104(constB48))))))),
% 14.78/9.94 inference(rewrite,[status(thm)],[])).
% 14.78/9.94 tff(8501,plain,
% 14.78/9.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB47, constB48)) | (v94(constB48) <=> (~((~v95(constB48)) | (~v104(constB48))))))),
% 14.78/9.94 inference(quant_inst,[status(thm)],[])).
% 14.78/9.94 tff(8502,plain,
% 14.78/9.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB47, constB48)) | (v94(constB48) <=> (~((~v95(constB48)) | (~v104(constB48)))))),
% 14.78/9.94 inference(modus_ponens,[status(thm)],[8501, 8500])).
% 14.78/9.94 tff(8503,plain,
% 14.78/9.94 (v94(constB48) <=> (~((~v95(constB48)) | (~v104(constB48))))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8502, 183, 770])).
% 14.78/9.94 tff(8504,plain,
% 14.78/9.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48))))))),
% 14.78/9.94 inference(rewrite,[status(thm)],[])).
% 14.78/9.94 tff(8505,plain,
% 14.78/9.94 (((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v96(constB48)) | (~v1(constB48)))))) <=> ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48))))))),
% 14.78/9.94 inference(rewrite,[status(thm)],[])).
% 14.78/9.94 tff(8506,plain,
% 14.78/9.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v96(constB48)) | (~v1(constB48))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48)))))))),
% 14.78/9.94 inference(monotonicity,[status(thm)],[8505])).
% 14.78/9.94 tff(8507,plain,
% 14.78/9.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v96(constB48)) | (~v1(constB48))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48))))))),
% 14.78/9.94 inference(transitivity,[status(thm)],[8506, 8504])).
% 14.78/9.94 tff(8508,plain,
% 14.78/9.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v96(constB48)) | (~v1(constB48))))))),
% 14.78/9.94 inference(quant_inst,[status(thm)],[])).
% 14.78/9.94 tff(8509,plain,
% 14.78/9.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48)))))),
% 14.78/9.94 inference(modus_ponens,[status(thm)],[8508, 8507])).
% 14.78/9.94 tff(8510,plain,
% 14.78/9.94 (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48))))),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8509, 183, 790])).
% 14.78/9.94 tff(8511,plain,
% 14.78/9.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v96(constB48)) <=> v98(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB47, constB48)) | ((~v96(constB48)) <=> v98(constB48)))),
% 14.78/9.94 inference(rewrite,[status(thm)],[])).
% 14.78/9.94 tff(8512,plain,
% 14.78/9.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v96(constB48)) <=> v98(constB48)))),
% 14.78/9.94 inference(quant_inst,[status(thm)],[])).
% 14.78/9.94 tff(8513,plain,
% 14.78/9.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB47, constB48)) | ((~v96(constB48)) <=> v98(constB48))),
% 14.78/9.94 inference(modus_ponens,[status(thm)],[8512, 8511])).
% 14.78/9.94 tff(8514,plain,
% 14.78/9.94 ((~v96(constB48)) <=> v98(constB48)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8513, 183, 2332])).
% 14.78/9.94 tff(8515,plain,
% 14.78/9.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v98(constB48) <=> v1(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v98(constB48) <=> v1(constB47)))),
% 14.78/9.94 inference(rewrite,[status(thm)],[])).
% 14.78/9.94 tff(8516,plain,
% 14.78/9.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v98(constB48) <=> v1(constB47)))),
% 14.78/9.94 inference(quant_inst,[status(thm)],[])).
% 14.78/9.94 tff(8517,plain,
% 14.78/9.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v98(constB48) <=> v1(constB47))),
% 14.78/9.94 inference(modus_ponens,[status(thm)],[8516, 8515])).
% 14.78/9.94 tff(8518,plain,
% 14.78/9.94 (v98(constB48) <=> v1(constB47)),
% 14.78/9.94 inference(unit_resolution,[status(thm)],[8517, 183, 2346])).
% 14.78/9.94 tff(8519,plain,
% 14.78/9.94 ((~(v98(constB48) <=> v1(constB47))) | (~v98(constB48)) | v1(constB47)),
% 14.78/9.94 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8520,plain,
% 14.78/9.95 ((~(v98(constB48) <=> v1(constB47))) | (~v98(constB48))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8519, 326])).
% 14.78/9.95 tff(8521,plain,
% 14.78/9.95 (~v98(constB48)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8520, 8518])).
% 14.78/9.95 tff(8522,plain,
% 14.78/9.95 ((~((~v96(constB48)) <=> v98(constB48))) | v96(constB48) | v98(constB48)),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8523,plain,
% 14.78/9.95 (v96(constB48)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8522, 8521, 8514])).
% 14.78/9.95 tff(8524,plain,
% 14.78/9.95 ((~((~v1(constB48)) | (~v96(constB48)))) | (~v1(constB48)) | (~v96(constB48))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8525,plain,
% 14.78/9.95 ((~((~v1(constB48)) | (~v96(constB48)))) | (~v96(constB48))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8524, 144])).
% 14.78/9.95 tff(8526,plain,
% 14.78/9.95 (~((~v1(constB48)) | (~v96(constB48)))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8525, 8523])).
% 14.78/9.95 tff(8527,plain,
% 14.78/9.95 ((~(v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48)))))) | v95(constB48) | ((~v1(constB48)) | (~v96(constB48)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8528,plain,
% 14.78/9.95 (v95(constB48)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8527, 8526, 8510])).
% 14.78/9.95 tff(8529,plain,
% 14.78/9.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v102(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v102(constB47)))),
% 14.78/9.95 inference(rewrite,[status(thm)],[])).
% 14.78/9.95 tff(8530,plain,
% 14.78/9.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v102(constB47)))),
% 14.78/9.95 inference(quant_inst,[status(thm)],[])).
% 14.78/9.95 tff(8531,plain,
% 14.78/9.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v102(constB47))),
% 14.78/9.95 inference(modus_ponens,[status(thm)],[8530, 8529])).
% 14.78/9.95 tff(8532,plain,
% 14.78/9.95 (v104(constB48) <=> v102(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8531, 183, 2373])).
% 14.78/9.95 tff(8533,plain,
% 14.78/9.95 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB47) <=> (v105(constB47) | v106(constB47)))),
% 14.78/9.95 inference(quant_inst,[status(thm)],[])).
% 14.78/9.95 tff(8534,plain,
% 14.78/9.95 (v102(constB47) <=> (v105(constB47) | v106(constB47))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8533, 2384])).
% 14.78/9.95 tff(8535,plain,
% 14.78/9.95 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB47) <=> (~((~v107(constB47)) | (~v120(constB47)))))),
% 14.78/9.95 inference(quant_inst,[status(thm)],[])).
% 14.78/9.95 tff(8536,plain,
% 14.78/9.95 (v106(constB47) <=> (~((~v107(constB47)) | (~v120(constB47))))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8535, 2396])).
% 14.78/9.95 tff(8537,plain,
% 14.78/9.95 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB47) <=> (v108(constB47) | v119(constB47)))),
% 14.78/9.95 inference(quant_inst,[status(thm)],[])).
% 14.78/9.95 tff(8538,plain,
% 14.78/9.95 (v107(constB47) <=> (v108(constB47) | v119(constB47))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8537, 2405])).
% 14.78/9.95 tff(8539,plain,
% 14.78/9.95 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB47) <=> (v109(constB47) | v118(constB47)))),
% 14.78/9.95 inference(quant_inst,[status(thm)],[])).
% 14.78/9.95 tff(8540,plain,
% 14.78/9.95 (v108(constB47) <=> (v109(constB47) | v118(constB47))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8539, 2414])).
% 14.78/9.95 tff(8541,plain,
% 14.78/9.95 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB47) <=> (v110(constB47) | v117(constB47)))),
% 14.78/9.95 inference(quant_inst,[status(thm)],[])).
% 14.78/9.95 tff(8542,plain,
% 14.78/9.95 (v109(constB47) <=> (v110(constB47) | v117(constB47))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8541, 2423])).
% 14.78/9.95 tff(8543,plain,
% 14.78/9.95 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB47) <=> (v111(constB47) | v116(constB47)))),
% 14.78/9.95 inference(quant_inst,[status(thm)],[])).
% 14.78/9.95 tff(8544,plain,
% 14.78/9.95 (v110(constB47) <=> (v111(constB47) | v116(constB47))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8543, 2432])).
% 14.78/9.95 tff(8545,plain,
% 14.78/9.95 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB47) <=> (v112(constB47) | v115(constB47)))),
% 14.78/9.95 inference(quant_inst,[status(thm)],[])).
% 14.78/9.95 tff(8546,plain,
% 14.78/9.95 (v111(constB47) <=> (v112(constB47) | v115(constB47))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8545, 2441])).
% 14.78/9.95 tff(8547,plain,
% 14.78/9.95 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB47) <=> (v113(constB47) | v114(constB47)))),
% 14.78/9.95 inference(quant_inst,[status(thm)],[])).
% 14.78/9.95 tff(8548,plain,
% 14.78/9.95 (v112(constB47) <=> (v113(constB47) | v114(constB47))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8547, 2450])).
% 14.78/9.95 tff(8549,plain,
% 14.78/9.95 ((v113(constB47) | v114(constB47)) | (~v114(constB47))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8550,plain,
% 14.78/9.95 (v113(constB47) | v114(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8549, 8485])).
% 14.78/9.95 tff(8551,plain,
% 14.78/9.95 ((~(v112(constB47) <=> (v113(constB47) | v114(constB47)))) | v112(constB47) | (~(v113(constB47) | v114(constB47)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8552,plain,
% 14.78/9.95 (v112(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8551, 8550, 8548])).
% 14.78/9.95 tff(8553,plain,
% 14.78/9.95 ((v112(constB47) | v115(constB47)) | (~v112(constB47))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8554,plain,
% 14.78/9.95 (v112(constB47) | v115(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8553, 8552])).
% 14.78/9.95 tff(8555,plain,
% 14.78/9.95 ((~(v111(constB47) <=> (v112(constB47) | v115(constB47)))) | v111(constB47) | (~(v112(constB47) | v115(constB47)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8556,plain,
% 14.78/9.95 (v111(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8555, 8554, 8546])).
% 14.78/9.95 tff(8557,plain,
% 14.78/9.95 ((v111(constB47) | v116(constB47)) | (~v111(constB47))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8558,plain,
% 14.78/9.95 (v111(constB47) | v116(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8557, 8556])).
% 14.78/9.95 tff(8559,plain,
% 14.78/9.95 ((~(v110(constB47) <=> (v111(constB47) | v116(constB47)))) | v110(constB47) | (~(v111(constB47) | v116(constB47)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8560,plain,
% 14.78/9.95 (v110(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8559, 8558, 8544])).
% 14.78/9.95 tff(8561,plain,
% 14.78/9.95 ((v110(constB47) | v117(constB47)) | (~v110(constB47))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8562,plain,
% 14.78/9.95 (v110(constB47) | v117(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8561, 8560])).
% 14.78/9.95 tff(8563,plain,
% 14.78/9.95 ((~(v109(constB47) <=> (v110(constB47) | v117(constB47)))) | v109(constB47) | (~(v110(constB47) | v117(constB47)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8564,plain,
% 14.78/9.95 (v109(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8563, 8562, 8542])).
% 14.78/9.95 tff(8565,plain,
% 14.78/9.95 ((v109(constB47) | v118(constB47)) | (~v109(constB47))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8566,plain,
% 14.78/9.95 (v109(constB47) | v118(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8565, 8564])).
% 14.78/9.95 tff(8567,plain,
% 14.78/9.95 ((~(v108(constB47) <=> (v109(constB47) | v118(constB47)))) | v108(constB47) | (~(v109(constB47) | v118(constB47)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8568,plain,
% 14.78/9.95 (v108(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8567, 8566, 8540])).
% 14.78/9.95 tff(8569,plain,
% 14.78/9.95 ((v108(constB47) | v119(constB47)) | (~v108(constB47))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8570,plain,
% 14.78/9.95 (v108(constB47) | v119(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8569, 8568])).
% 14.78/9.95 tff(8571,plain,
% 14.78/9.95 ((~(v107(constB47) <=> (v108(constB47) | v119(constB47)))) | v107(constB47) | (~(v108(constB47) | v119(constB47)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8572,plain,
% 14.78/9.95 (v107(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8571, 8570, 8538])).
% 14.78/9.95 tff(8573,plain,
% 14.78/9.95 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB47)) <=> v105(constB47))),
% 14.78/9.95 inference(quant_inst,[status(thm)],[])).
% 14.78/9.95 tff(8574,plain,
% 14.78/9.95 ((~v120(constB47)) <=> v105(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8573, 2484])).
% 14.78/9.95 tff(8575,plain,
% 14.78/9.95 ((~((~v120(constB47)) <=> v105(constB47))) | v120(constB47) | v105(constB47)),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8576,plain,
% 14.78/9.95 ((~((~v120(constB47)) <=> v105(constB47))) | v120(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8575, 8005])).
% 14.78/9.95 tff(8577,plain,
% 14.78/9.95 (v120(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8576, 8574])).
% 14.78/9.95 tff(8578,plain,
% 14.78/9.95 ((~((~v107(constB47)) | (~v120(constB47)))) | (~v107(constB47)) | (~v120(constB47))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8579,plain,
% 14.78/9.95 ((~((~v107(constB47)) | (~v120(constB47)))) | (~v107(constB47))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8578, 8577])).
% 14.78/9.95 tff(8580,plain,
% 14.78/9.95 (~((~v107(constB47)) | (~v120(constB47)))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8579, 8572])).
% 14.78/9.95 tff(8581,plain,
% 14.78/9.95 ((~(v106(constB47) <=> (~((~v107(constB47)) | (~v120(constB47)))))) | v106(constB47) | ((~v107(constB47)) | (~v120(constB47)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8582,plain,
% 14.78/9.95 (v106(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8581, 8580, 8536])).
% 14.78/9.95 tff(8583,plain,
% 14.78/9.95 ((v105(constB47) | v106(constB47)) | (~v106(constB47))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8584,plain,
% 14.78/9.95 (v105(constB47) | v106(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8583, 8582])).
% 14.78/9.95 tff(8585,plain,
% 14.78/9.95 ((~(v102(constB47) <=> (v105(constB47) | v106(constB47)))) | v102(constB47) | (~(v105(constB47) | v106(constB47)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8586,plain,
% 14.78/9.95 (v102(constB47)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8585, 8584, 8534])).
% 14.78/9.95 tff(8587,plain,
% 14.78/9.95 ((~(v104(constB48) <=> v102(constB47))) | v104(constB48) | (~v102(constB47))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8588,plain,
% 14.78/9.95 (v104(constB48)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8587, 8586, 8532])).
% 14.78/9.95 tff(8589,plain,
% 14.78/9.95 ((~((~v95(constB48)) | (~v104(constB48)))) | (~v95(constB48)) | (~v104(constB48))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8590,plain,
% 14.78/9.95 (~((~v95(constB48)) | (~v104(constB48)))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8589, 8588, 8528])).
% 14.78/9.95 tff(8591,plain,
% 14.78/9.95 ((~(v94(constB48) <=> (~((~v95(constB48)) | (~v104(constB48)))))) | v94(constB48) | ((~v95(constB48)) | (~v104(constB48)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8592,plain,
% 14.78/9.95 (v94(constB48)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8591, 8590, 8503])).
% 14.78/9.95 tff(8593,plain,
% 14.78/9.95 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB48)) | (~(((~v84(constB48, 2)) <=> v123(constB48, 2)) | ((~v84(constB48, 1)) <=> v123(constB48, 1)) | ((~v84(constB48, 0)) <=> v123(constB48, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB48)) | (~(((~v84(constB48, 2)) <=> v123(constB48, 2)) | ((~v84(constB48, 1)) <=> v123(constB48, 1)) | ((~v84(constB48, 0)) <=> v123(constB48, 0)))))),
% 14.78/9.95 inference(rewrite,[status(thm)],[])).
% 14.78/9.95 tff(8594,plain,
% 14.78/9.95 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB48)) | (~(((~v84(constB48, 2)) <=> v123(constB48, 2)) | ((~v84(constB48, 1)) <=> v123(constB48, 1)) | ((~v84(constB48, 0)) <=> v123(constB48, 0)))))),
% 14.78/9.95 inference(quant_inst,[status(thm)],[])).
% 14.78/9.95 tff(8595,plain,
% 14.78/9.95 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB48)) | (~(((~v84(constB48, 2)) <=> v123(constB48, 2)) | ((~v84(constB48, 1)) <=> v123(constB48, 1)) | ((~v84(constB48, 0)) <=> v123(constB48, 0))))),
% 14.78/9.95 inference(modus_ponens,[status(thm)],[8594, 8593])).
% 14.78/9.95 tff(8596,plain,
% 14.78/9.95 ((~v94(constB48)) | (~(((~v84(constB48, 2)) <=> v123(constB48, 2)) | ((~v84(constB48, 1)) <=> v123(constB48, 1)) | ((~v84(constB48, 0)) <=> v123(constB48, 0))))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8595, 2517])).
% 14.78/9.95 tff(8597,plain,
% 14.78/9.95 (~(((~v84(constB48, 2)) <=> v123(constB48, 2)) | ((~v84(constB48, 1)) <=> v123(constB48, 1)) | ((~v84(constB48, 0)) <=> v123(constB48, 0)))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8596, 8592])).
% 14.78/9.95 tff(8598,plain,
% 14.78/9.95 ((((~v84(constB48, 2)) <=> v123(constB48, 2)) | ((~v84(constB48, 1)) <=> v123(constB48, 1)) | ((~v84(constB48, 0)) <=> v123(constB48, 0))) | (~((~v84(constB48, 2)) <=> v123(constB48, 2)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8599,plain,
% 14.78/9.95 (~((~v84(constB48, 2)) <=> v123(constB48, 2))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8598, 8597])).
% 14.78/9.95 tff(8600,plain,
% 14.78/9.95 (((~v84(constB48, 2)) <=> v123(constB48, 2)) | (~v84(constB48, 2)) | v123(constB48, 2)),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8601,plain,
% 14.78/9.95 (~v84(constB48, 2)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8600, 8599, 8499])).
% 14.78/9.95 tff(8602,plain,
% 14.78/9.95 (((~v84(constB49, 2)) <=> v84(constB48, 2)) | (~v84(constB49, 2)) | v84(constB48, 2)),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8603,plain,
% 14.78/9.95 (~v84(constB49, 2)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8602, 8601, 7992])).
% 14.78/9.95 tff(8604,plain,
% 14.78/9.95 ((((~v84(constB49, 1)) <=> v84(constB48, 1)) | ((~v84(constB49, 2)) <=> v84(constB48, 2)) | ((~v84(constB49, 0)) <=> v84(constB48, 0))) | (~((~v84(constB49, 0)) <=> v84(constB48, 0)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8605,plain,
% 14.78/9.95 (~((~v84(constB49, 0)) <=> v84(constB48, 0))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8604, 7990])).
% 14.78/9.95 tff(8606,plain,
% 14.78/9.95 ((((~v123(constB48, 2)) <=> v121(constB47, 2)) | ((~v123(constB48, 1)) <=> v121(constB47, 1)) | ((~v123(constB48, 0)) <=> v121(constB47, 0))) | (~((~v123(constB48, 0)) <=> v121(constB47, 0)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8607,plain,
% 14.78/9.95 (~((~v123(constB48, 0)) <=> v121(constB47, 0))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8606, 7996])).
% 14.78/9.95 tff(8608,plain,
% 14.78/9.95 ((((~v121(constB47, 2)) <=> v124(constB47, 2)) | ((~v121(constB47, 0)) <=> v124(constB47, 0)) | ((~v121(constB47, 1)) <=> v124(constB47, 1))) | (~((~v121(constB47, 0)) <=> v124(constB47, 0)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8609,plain,
% 14.78/9.95 (~((~v121(constB47, 0)) <=> v124(constB47, 0))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8608, 8010])).
% 14.78/9.95 tff(8610,plain,
% 14.78/9.95 ((v124(constB47, 2) | v124(constB47, 0) | (~v124(constB47, 1))) | (~v124(constB47, 0))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8611,plain,
% 14.78/9.95 (~v124(constB47, 0)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8610, 8493])).
% 14.78/9.95 tff(8612,plain,
% 14.78/9.95 (((~v121(constB47, 0)) <=> v124(constB47, 0)) | (~v121(constB47, 0)) | v124(constB47, 0)),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8613,plain,
% 14.78/9.95 (~v121(constB47, 0)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8612, 8611, 8609])).
% 14.78/9.95 tff(8614,plain,
% 14.78/9.95 (((~v123(constB48, 0)) <=> v121(constB47, 0)) | (~v123(constB48, 0)) | v121(constB47, 0)),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8615,plain,
% 14.78/9.95 (~v123(constB48, 0)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8614, 8613, 8607])).
% 14.78/9.95 tff(8616,plain,
% 14.78/9.95 ((((~v84(constB48, 2)) <=> v123(constB48, 2)) | ((~v84(constB48, 1)) <=> v123(constB48, 1)) | ((~v84(constB48, 0)) <=> v123(constB48, 0))) | (~((~v84(constB48, 0)) <=> v123(constB48, 0)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8617,plain,
% 14.78/9.95 (~((~v84(constB48, 0)) <=> v123(constB48, 0))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8616, 8597])).
% 14.78/9.95 tff(8618,plain,
% 14.78/9.95 (((~v84(constB48, 0)) <=> v123(constB48, 0)) | (~v84(constB48, 0)) | v123(constB48, 0)),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8619,plain,
% 14.78/9.95 (~v84(constB48, 0)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8618, 8617, 8615])).
% 14.78/9.95 tff(8620,plain,
% 14.78/9.95 (((~v84(constB49, 0)) <=> v84(constB48, 0)) | (~v84(constB49, 0)) | v84(constB48, 0)),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8621,plain,
% 14.78/9.95 (~v84(constB49, 0)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8620, 8619, 8605])).
% 14.78/9.95 tff(8622,plain,
% 14.78/9.95 ((((~v84(constB49, 1)) <=> v84(constB48, 1)) | ((~v84(constB49, 2)) <=> v84(constB48, 2)) | ((~v84(constB49, 0)) <=> v84(constB48, 0))) | (~((~v84(constB49, 1)) <=> v84(constB48, 1)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8623,plain,
% 14.78/9.95 (~((~v84(constB49, 1)) <=> v84(constB48, 1))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8622, 7990])).
% 14.78/9.95 tff(8624,plain,
% 14.78/9.95 ((((~v123(constB48, 2)) <=> v121(constB47, 2)) | ((~v123(constB48, 1)) <=> v121(constB47, 1)) | ((~v123(constB48, 0)) <=> v121(constB47, 0))) | (~((~v123(constB48, 1)) <=> v121(constB47, 1)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8625,plain,
% 14.78/9.95 (~((~v123(constB48, 1)) <=> v121(constB47, 1))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8624, 7996])).
% 14.78/9.95 tff(8626,plain,
% 14.78/9.95 ((((~v121(constB47, 2)) <=> v124(constB47, 2)) | ((~v121(constB47, 0)) <=> v124(constB47, 0)) | ((~v121(constB47, 1)) <=> v124(constB47, 1))) | (~((~v121(constB47, 1)) <=> v124(constB47, 1)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8627,plain,
% 14.78/9.95 (~((~v121(constB47, 1)) <=> v124(constB47, 1))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8626, 8010])).
% 14.78/9.95 tff(8628,plain,
% 14.78/9.95 ((v124(constB47, 2) | v124(constB47, 0) | (~v124(constB47, 1))) | v124(constB47, 1)),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8629,plain,
% 14.78/9.95 (v124(constB47, 1)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8628, 8493])).
% 14.78/9.95 tff(8630,plain,
% 14.78/9.95 (((~v121(constB47, 1)) <=> v124(constB47, 1)) | v121(constB47, 1) | (~v124(constB47, 1))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8631,plain,
% 14.78/9.95 (v121(constB47, 1)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8630, 8629, 8627])).
% 14.78/9.95 tff(8632,plain,
% 14.78/9.95 (((~v123(constB48, 1)) <=> v121(constB47, 1)) | v123(constB48, 1) | (~v121(constB47, 1))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8633,plain,
% 14.78/9.95 (v123(constB48, 1)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8632, 8631, 8625])).
% 14.78/9.95 tff(8634,plain,
% 14.78/9.95 ((((~v84(constB48, 2)) <=> v123(constB48, 2)) | ((~v84(constB48, 1)) <=> v123(constB48, 1)) | ((~v84(constB48, 0)) <=> v123(constB48, 0))) | (~((~v84(constB48, 1)) <=> v123(constB48, 1)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8635,plain,
% 14.78/9.95 (~((~v84(constB48, 1)) <=> v123(constB48, 1))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8634, 8597])).
% 14.78/9.95 tff(8636,plain,
% 14.78/9.95 (((~v84(constB48, 1)) <=> v123(constB48, 1)) | v84(constB48, 1) | (~v123(constB48, 1))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8637,plain,
% 14.78/9.95 (v84(constB48, 1)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8636, 8635, 8633])).
% 14.78/9.95 tff(8638,plain,
% 14.78/9.95 (((~v84(constB49, 1)) <=> v84(constB48, 1)) | v84(constB49, 1) | (~v84(constB48, 1))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8639,plain,
% 14.78/9.95 (v84(constB49, 1)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8638, 8637, 8623])).
% 14.78/9.95 tff(8640,plain,
% 14.78/9.95 ((~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))) | v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8641,plain,
% 14.78/9.95 (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8640, 8639, 8621, 8603])).
% 14.78/9.95 tff(8642,plain,
% 14.78/9.95 ((~(v115(constB49) <=> (~(v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))))) | v115(constB49) | (v84(constB49, 2) | v84(constB49, 0) | (~v84(constB49, 1)))),
% 14.78/9.95 inference(tautology,[status(thm)],[])).
% 14.78/9.95 tff(8643,plain,
% 14.78/9.95 (v115(constB49)),
% 14.78/9.95 inference(unit_resolution,[status(thm)],[8642, 8641, 7959])).
% 14.78/9.95 tff(8644,plain,
% 14.78/9.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB49)) | (~(v124(constB49, 2) | (~v124(constB49, 0)) | (~v124(constB49, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB49)) | (~(v124(constB49, 2) | (~v124(constB49, 0)) | (~v124(constB49, 1)))))),
% 14.78/9.96 inference(rewrite,[status(thm)],[])).
% 14.78/9.96 tff(8645,plain,
% 14.78/9.96 (((~v115(constB49)) | (~(v124(constB49, 2) | (~v124(constB49, 1)) | (~v124(constB49, 0))))) <=> ((~v115(constB49)) | (~(v124(constB49, 2) | (~v124(constB49, 0)) | (~v124(constB49, 1)))))),
% 14.78/9.96 inference(rewrite,[status(thm)],[])).
% 14.78/9.96 tff(8646,plain,
% 14.78/9.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB49)) | (~(v124(constB49, 2) | (~v124(constB49, 1)) | (~v124(constB49, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB49)) | (~(v124(constB49, 2) | (~v124(constB49, 0)) | (~v124(constB49, 1))))))),
% 14.78/9.96 inference(monotonicity,[status(thm)],[8645])).
% 14.78/9.96 tff(8647,plain,
% 14.78/9.96 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB49)) | (~(v124(constB49, 2) | (~v124(constB49, 1)) | (~v124(constB49, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB49)) | (~(v124(constB49, 2) | (~v124(constB49, 0)) | (~v124(constB49, 1)))))),
% 14.78/9.96 inference(transitivity,[status(thm)],[8646, 8644])).
% 14.78/9.96 tff(8648,plain,
% 14.78/9.96 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB49)) | (~(v124(constB49, 2) | (~v124(constB49, 1)) | (~v124(constB49, 0)))))),
% 14.78/9.96 inference(quant_inst,[status(thm)],[])).
% 14.78/9.96 tff(8649,plain,
% 14.78/9.96 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB49)) | (~(v124(constB49, 2) | (~v124(constB49, 0)) | (~v124(constB49, 1))))),
% 14.78/9.96 inference(modus_ponens,[status(thm)],[8648, 8647])).
% 14.78/9.96 tff(8650,plain,
% 14.78/9.96 ((~v115(constB49)) | (~(v124(constB49, 2) | (~v124(constB49, 0)) | (~v124(constB49, 1))))),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8649, 3138])).
% 14.78/9.96 tff(8651,plain,
% 14.78/9.96 (~(v124(constB49, 2) | (~v124(constB49, 0)) | (~v124(constB49, 1)))),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8650, 8643])).
% 14.78/9.96 tff(8652,plain,
% 14.78/9.96 ((v124(constB49, 2) | (~v124(constB49, 0)) | (~v124(constB49, 1))) | (~v124(constB49, 2))),
% 14.78/9.96 inference(tautology,[status(thm)],[])).
% 14.78/9.96 tff(8653,plain,
% 14.78/9.96 (~v124(constB49, 2)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8652, 8651])).
% 14.78/9.96 tff(8654,plain,
% 14.78/9.96 (((~v121(constB49, 2)) <=> v124(constB49, 2)) | (~v121(constB49, 2)) | v124(constB49, 2)),
% 14.78/9.96 inference(tautology,[status(thm)],[])).
% 14.78/9.96 tff(8655,plain,
% 14.78/9.96 (~v121(constB49, 2)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8654, 8653, 7952])).
% 14.78/9.96 tff(8656,plain,
% 14.78/9.96 (((~v123(constB50, 2)) <=> v121(constB49, 2)) | (~v123(constB50, 2)) | v121(constB49, 2)),
% 14.78/9.96 inference(tautology,[status(thm)],[])).
% 14.78/9.96 tff(8657,plain,
% 14.78/9.96 (~v123(constB50, 2)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8656, 8655, 7938])).
% 14.78/9.96 tff(8658,plain,
% 14.78/9.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB49, constB50)) | (v94(constB50) <=> (~((~v95(constB50)) | (~v104(constB50))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB49, constB50)) | (v94(constB50) <=> (~((~v95(constB50)) | (~v104(constB50))))))),
% 14.78/9.96 inference(rewrite,[status(thm)],[])).
% 14.78/9.96 tff(8659,plain,
% 14.78/9.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB49, constB50)) | (v94(constB50) <=> (~((~v95(constB50)) | (~v104(constB50))))))),
% 14.78/9.96 inference(quant_inst,[status(thm)],[])).
% 14.78/9.96 tff(8660,plain,
% 14.78/9.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB49, constB50)) | (v94(constB50) <=> (~((~v95(constB50)) | (~v104(constB50)))))),
% 14.78/9.96 inference(modus_ponens,[status(thm)],[8659, 8658])).
% 14.78/9.96 tff(8661,plain,
% 14.78/9.96 (v94(constB50) <=> (~((~v95(constB50)) | (~v104(constB50))))),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8660, 7932, 770])).
% 14.78/9.96 tff(8662,plain,
% 14.78/9.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50))))))),
% 14.78/9.96 inference(rewrite,[status(thm)],[])).
% 14.78/9.96 tff(8663,plain,
% 14.78/9.96 (((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v96(constB50)) | (~v1(constB50)))))) <=> ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50))))))),
% 14.78/9.96 inference(rewrite,[status(thm)],[])).
% 14.78/9.96 tff(8664,plain,
% 14.78/9.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v96(constB50)) | (~v1(constB50))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50)))))))),
% 14.78/9.96 inference(monotonicity,[status(thm)],[8663])).
% 14.78/9.96 tff(8665,plain,
% 14.78/9.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v96(constB50)) | (~v1(constB50))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50))))))),
% 14.78/9.96 inference(transitivity,[status(thm)],[8664, 8662])).
% 14.78/9.96 tff(8666,plain,
% 14.78/9.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v96(constB50)) | (~v1(constB50))))))),
% 14.78/9.96 inference(quant_inst,[status(thm)],[])).
% 14.78/9.96 tff(8667,plain,
% 14.78/9.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50)))))),
% 14.78/9.96 inference(modus_ponens,[status(thm)],[8666, 8665])).
% 14.78/9.96 tff(8668,plain,
% 14.78/9.96 (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50))))),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8667, 7932, 790])).
% 14.78/9.96 tff(8669,plain,
% 14.78/9.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v96(constB50)) <=> v98(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB49, constB50)) | ((~v96(constB50)) <=> v98(constB50)))),
% 14.78/9.96 inference(rewrite,[status(thm)],[])).
% 14.78/9.96 tff(8670,plain,
% 14.78/9.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v96(constB50)) <=> v98(constB50)))),
% 14.78/9.96 inference(quant_inst,[status(thm)],[])).
% 14.78/9.96 tff(8671,plain,
% 14.78/9.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB49, constB50)) | ((~v96(constB50)) <=> v98(constB50))),
% 14.78/9.96 inference(modus_ponens,[status(thm)],[8670, 8669])).
% 14.78/9.96 tff(8672,plain,
% 14.78/9.96 ((~v96(constB50)) <=> v98(constB50)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8671, 7932, 2332])).
% 14.78/9.96 tff(8673,plain,
% 14.78/9.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v98(constB50) <=> v1(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v98(constB50) <=> v1(constB49)))),
% 14.78/9.96 inference(rewrite,[status(thm)],[])).
% 14.78/9.96 tff(8674,plain,
% 14.78/9.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v98(constB50) <=> v1(constB49)))),
% 14.78/9.96 inference(quant_inst,[status(thm)],[])).
% 14.78/9.96 tff(8675,plain,
% 14.78/9.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v98(constB50) <=> v1(constB49))),
% 14.78/9.96 inference(modus_ponens,[status(thm)],[8674, 8673])).
% 14.78/9.96 tff(8676,plain,
% 14.78/9.96 (v98(constB50) <=> v1(constB49)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8675, 7932, 2346])).
% 14.78/9.96 tff(8677,plain,
% 14.78/9.96 ((~(v98(constB50) <=> v1(constB49))) | (~v98(constB50)) | v1(constB49)),
% 14.78/9.96 inference(tautology,[status(thm)],[])).
% 14.78/9.96 tff(8678,plain,
% 14.78/9.96 ((~(v98(constB50) <=> v1(constB49))) | (~v98(constB50))),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8677, 7973])).
% 14.78/9.96 tff(8679,plain,
% 14.78/9.96 (~v98(constB50)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8678, 8676])).
% 14.78/9.96 tff(8680,plain,
% 14.78/9.96 ((~((~v96(constB50)) <=> v98(constB50))) | v96(constB50) | v98(constB50)),
% 14.78/9.96 inference(tautology,[status(thm)],[])).
% 14.78/9.96 tff(8681,plain,
% 14.78/9.96 (v96(constB50)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8680, 8679, 8672])).
% 14.78/9.96 tff(8682,plain,
% 14.78/9.96 (v1(constB50) <=> v1(constB50)),
% 14.78/9.96 inference(rewrite,[status(thm)],[])).
% 14.78/9.96 tff(8683,axiom,(v1(constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_50')).
% 14.78/9.96 tff(8684,plain,
% 14.78/9.96 (v1(constB50)),
% 14.78/9.96 inference(modus_ponens,[status(thm)],[8683, 8682])).
% 14.78/9.96 tff(8685,plain,
% 14.78/9.96 ((~((~v1(constB50)) | (~v96(constB50)))) | (~v1(constB50)) | (~v96(constB50))),
% 14.78/9.96 inference(tautology,[status(thm)],[])).
% 14.78/9.96 tff(8686,plain,
% 14.78/9.96 ((~((~v1(constB50)) | (~v96(constB50)))) | (~v96(constB50))),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8685, 8684])).
% 14.78/9.96 tff(8687,plain,
% 14.78/9.96 (~((~v1(constB50)) | (~v96(constB50)))),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8686, 8681])).
% 14.78/9.96 tff(8688,plain,
% 14.78/9.96 ((~(v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50)))))) | v95(constB50) | ((~v1(constB50)) | (~v96(constB50)))),
% 14.78/9.96 inference(tautology,[status(thm)],[])).
% 14.78/9.96 tff(8689,plain,
% 14.78/9.96 (v95(constB50)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8688, 8687, 8668])).
% 14.78/9.96 tff(8690,plain,
% 14.78/9.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v102(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v102(constB49)))),
% 14.78/9.96 inference(rewrite,[status(thm)],[])).
% 14.78/9.96 tff(8691,plain,
% 14.78/9.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v102(constB49)))),
% 14.78/9.96 inference(quant_inst,[status(thm)],[])).
% 14.78/9.96 tff(8692,plain,
% 14.78/9.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v102(constB49))),
% 14.78/9.96 inference(modus_ponens,[status(thm)],[8691, 8690])).
% 14.78/9.96 tff(8693,plain,
% 14.78/9.96 (v104(constB50) <=> v102(constB49)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8692, 7932, 2373])).
% 14.78/9.96 tff(8694,plain,
% 14.78/9.96 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB49) <=> (v105(constB49) | v106(constB49)))),
% 14.78/9.96 inference(quant_inst,[status(thm)],[])).
% 14.78/9.96 tff(8695,plain,
% 14.78/9.96 (v102(constB49) <=> (v105(constB49) | v106(constB49))),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8694, 2384])).
% 14.78/9.96 tff(8696,plain,
% 14.78/9.96 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB49) <=> (~((~v107(constB49)) | (~v120(constB49)))))),
% 14.78/9.96 inference(quant_inst,[status(thm)],[])).
% 14.78/9.96 tff(8697,plain,
% 14.78/9.96 (v106(constB49) <=> (~((~v107(constB49)) | (~v120(constB49))))),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8696, 2396])).
% 14.78/9.96 tff(8698,plain,
% 14.78/9.96 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB49) <=> (v108(constB49) | v119(constB49)))),
% 14.78/9.96 inference(quant_inst,[status(thm)],[])).
% 14.78/9.96 tff(8699,plain,
% 14.78/9.96 (v107(constB49) <=> (v108(constB49) | v119(constB49))),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8698, 2405])).
% 14.78/9.96 tff(8700,plain,
% 14.78/9.96 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB49) <=> (v109(constB49) | v118(constB49)))),
% 14.78/9.96 inference(quant_inst,[status(thm)],[])).
% 14.78/9.96 tff(8701,plain,
% 14.78/9.96 (v108(constB49) <=> (v109(constB49) | v118(constB49))),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8700, 2414])).
% 14.78/9.96 tff(8702,plain,
% 14.78/9.96 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB49) <=> (v110(constB49) | v117(constB49)))),
% 14.78/9.96 inference(quant_inst,[status(thm)],[])).
% 14.78/9.96 tff(8703,plain,
% 14.78/9.96 (v109(constB49) <=> (v110(constB49) | v117(constB49))),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8702, 2423])).
% 14.78/9.96 tff(8704,plain,
% 14.78/9.96 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB49) <=> (v111(constB49) | v116(constB49)))),
% 14.78/9.96 inference(quant_inst,[status(thm)],[])).
% 14.78/9.96 tff(8705,plain,
% 14.78/9.96 (v110(constB49) <=> (v111(constB49) | v116(constB49))),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8704, 2432])).
% 14.78/9.96 tff(8706,plain,
% 14.78/9.96 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB49) <=> (v112(constB49) | v115(constB49)))),
% 14.78/9.96 inference(quant_inst,[status(thm)],[])).
% 14.78/9.96 tff(8707,plain,
% 14.78/9.96 (v111(constB49) <=> (v112(constB49) | v115(constB49))),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8706, 2441])).
% 14.78/9.96 tff(8708,plain,
% 14.78/9.96 ((v112(constB49) | v115(constB49)) | (~v115(constB49))),
% 14.78/9.96 inference(tautology,[status(thm)],[])).
% 14.78/9.96 tff(8709,plain,
% 14.78/9.96 (v112(constB49) | v115(constB49)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8708, 8643])).
% 14.78/9.96 tff(8710,plain,
% 14.78/9.96 ((~(v111(constB49) <=> (v112(constB49) | v115(constB49)))) | v111(constB49) | (~(v112(constB49) | v115(constB49)))),
% 14.78/9.96 inference(tautology,[status(thm)],[])).
% 14.78/9.96 tff(8711,plain,
% 14.78/9.96 (v111(constB49)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8710, 8709, 8707])).
% 14.78/9.96 tff(8712,plain,
% 14.78/9.96 ((v111(constB49) | v116(constB49)) | (~v111(constB49))),
% 14.78/9.96 inference(tautology,[status(thm)],[])).
% 14.78/9.96 tff(8713,plain,
% 14.78/9.96 (v111(constB49) | v116(constB49)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8712, 8711])).
% 14.78/9.96 tff(8714,plain,
% 14.78/9.96 ((~(v110(constB49) <=> (v111(constB49) | v116(constB49)))) | v110(constB49) | (~(v111(constB49) | v116(constB49)))),
% 14.78/9.96 inference(tautology,[status(thm)],[])).
% 14.78/9.96 tff(8715,plain,
% 14.78/9.96 (v110(constB49)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8714, 8713, 8705])).
% 14.78/9.96 tff(8716,plain,
% 14.78/9.96 ((v110(constB49) | v117(constB49)) | (~v110(constB49))),
% 14.78/9.96 inference(tautology,[status(thm)],[])).
% 14.78/9.96 tff(8717,plain,
% 14.78/9.96 (v110(constB49) | v117(constB49)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8716, 8715])).
% 14.78/9.96 tff(8718,plain,
% 14.78/9.96 ((~(v109(constB49) <=> (v110(constB49) | v117(constB49)))) | v109(constB49) | (~(v110(constB49) | v117(constB49)))),
% 14.78/9.96 inference(tautology,[status(thm)],[])).
% 14.78/9.96 tff(8719,plain,
% 14.78/9.96 (v109(constB49)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8718, 8717, 8703])).
% 14.78/9.96 tff(8720,plain,
% 14.78/9.96 ((v109(constB49) | v118(constB49)) | (~v109(constB49))),
% 14.78/9.96 inference(tautology,[status(thm)],[])).
% 14.78/9.96 tff(8721,plain,
% 14.78/9.96 (v109(constB49) | v118(constB49)),
% 14.78/9.96 inference(unit_resolution,[status(thm)],[8720, 8719])).
% 14.78/9.96 tff(8722,plain,
% 14.78/9.96 ((~(v108(constB49) <=> (v109(constB49) | v118(constB49)))) | v108(constB49) | (~(v109(constB49) | v118(constB49)))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8723,plain,
% 14.78/9.97 (v108(constB49)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8722, 8721, 8701])).
% 14.78/9.97 tff(8724,plain,
% 14.78/9.97 ((v108(constB49) | v119(constB49)) | (~v108(constB49))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8725,plain,
% 14.78/9.97 (v108(constB49) | v119(constB49)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8724, 8723])).
% 14.78/9.97 tff(8726,plain,
% 14.78/9.97 ((~(v107(constB49) <=> (v108(constB49) | v119(constB49)))) | v107(constB49) | (~(v108(constB49) | v119(constB49)))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8727,plain,
% 14.78/9.97 (v107(constB49)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8726, 8725, 8699])).
% 14.78/9.97 tff(8728,plain,
% 14.78/9.97 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB49)) <=> v105(constB49))),
% 14.78/9.97 inference(quant_inst,[status(thm)],[])).
% 14.78/9.97 tff(8729,plain,
% 14.78/9.97 ((~v120(constB49)) <=> v105(constB49)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8728, 2484])).
% 14.78/9.97 tff(8730,plain,
% 14.78/9.97 ((~((~v120(constB49)) <=> v105(constB49))) | v120(constB49) | v105(constB49)),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8731,plain,
% 14.78/9.97 ((~((~v120(constB49)) <=> v105(constB49))) | v120(constB49)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8730, 7945])).
% 14.78/9.97 tff(8732,plain,
% 14.78/9.97 (v120(constB49)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8731, 8729])).
% 14.78/9.97 tff(8733,plain,
% 14.78/9.97 ((~((~v107(constB49)) | (~v120(constB49)))) | (~v107(constB49)) | (~v120(constB49))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8734,plain,
% 14.78/9.97 ((~((~v107(constB49)) | (~v120(constB49)))) | (~v107(constB49))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8733, 8732])).
% 14.78/9.97 tff(8735,plain,
% 14.78/9.97 (~((~v107(constB49)) | (~v120(constB49)))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8734, 8727])).
% 14.78/9.97 tff(8736,plain,
% 14.78/9.97 ((~(v106(constB49) <=> (~((~v107(constB49)) | (~v120(constB49)))))) | v106(constB49) | ((~v107(constB49)) | (~v120(constB49)))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8737,plain,
% 14.78/9.97 (v106(constB49)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8736, 8735, 8697])).
% 14.78/9.97 tff(8738,plain,
% 14.78/9.97 ((v105(constB49) | v106(constB49)) | (~v106(constB49))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8739,plain,
% 14.78/9.97 (v105(constB49) | v106(constB49)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8738, 8737])).
% 14.78/9.97 tff(8740,plain,
% 14.78/9.97 ((~(v102(constB49) <=> (v105(constB49) | v106(constB49)))) | v102(constB49) | (~(v105(constB49) | v106(constB49)))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8741,plain,
% 14.78/9.97 (v102(constB49)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8740, 8739, 8695])).
% 14.78/9.97 tff(8742,plain,
% 14.78/9.97 ((~(v104(constB50) <=> v102(constB49))) | v104(constB50) | (~v102(constB49))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8743,plain,
% 14.78/9.97 (v104(constB50)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8742, 8741, 8693])).
% 14.78/9.97 tff(8744,plain,
% 14.78/9.97 ((~((~v95(constB50)) | (~v104(constB50)))) | (~v95(constB50)) | (~v104(constB50))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8745,plain,
% 14.78/9.97 (~((~v95(constB50)) | (~v104(constB50)))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8744, 8743, 8689])).
% 14.78/9.97 tff(8746,plain,
% 14.78/9.97 ((~(v94(constB50) <=> (~((~v95(constB50)) | (~v104(constB50)))))) | v94(constB50) | ((~v95(constB50)) | (~v104(constB50)))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8747,plain,
% 14.78/9.97 (v94(constB50)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8746, 8745, 8661])).
% 14.78/9.97 tff(8748,plain,
% 14.78/9.97 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB50)) | (~(((~v84(constB50, 0)) <=> v123(constB50, 0)) | ((~v84(constB50, 2)) <=> v123(constB50, 2)) | ((~v84(constB50, 1)) <=> v123(constB50, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB50)) | (~(((~v84(constB50, 0)) <=> v123(constB50, 0)) | ((~v84(constB50, 2)) <=> v123(constB50, 2)) | ((~v84(constB50, 1)) <=> v123(constB50, 1)))))),
% 14.78/9.97 inference(rewrite,[status(thm)],[])).
% 14.78/9.97 tff(8749,plain,
% 14.78/9.97 (((~v94(constB50)) | (~(((~v84(constB50, 2)) <=> v123(constB50, 2)) | ((~v84(constB50, 1)) <=> v123(constB50, 1)) | ((~v84(constB50, 0)) <=> v123(constB50, 0))))) <=> ((~v94(constB50)) | (~(((~v84(constB50, 0)) <=> v123(constB50, 0)) | ((~v84(constB50, 2)) <=> v123(constB50, 2)) | ((~v84(constB50, 1)) <=> v123(constB50, 1)))))),
% 14.78/9.97 inference(rewrite,[status(thm)],[])).
% 14.78/9.97 tff(8750,plain,
% 14.78/9.97 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB50)) | (~(((~v84(constB50, 2)) <=> v123(constB50, 2)) | ((~v84(constB50, 1)) <=> v123(constB50, 1)) | ((~v84(constB50, 0)) <=> v123(constB50, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB50)) | (~(((~v84(constB50, 0)) <=> v123(constB50, 0)) | ((~v84(constB50, 2)) <=> v123(constB50, 2)) | ((~v84(constB50, 1)) <=> v123(constB50, 1))))))),
% 14.78/9.97 inference(monotonicity,[status(thm)],[8749])).
% 14.78/9.97 tff(8751,plain,
% 14.78/9.97 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB50)) | (~(((~v84(constB50, 2)) <=> v123(constB50, 2)) | ((~v84(constB50, 1)) <=> v123(constB50, 1)) | ((~v84(constB50, 0)) <=> v123(constB50, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB50)) | (~(((~v84(constB50, 0)) <=> v123(constB50, 0)) | ((~v84(constB50, 2)) <=> v123(constB50, 2)) | ((~v84(constB50, 1)) <=> v123(constB50, 1)))))),
% 14.78/9.97 inference(transitivity,[status(thm)],[8750, 8748])).
% 14.78/9.97 tff(8752,plain,
% 14.78/9.97 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB50)) | (~(((~v84(constB50, 2)) <=> v123(constB50, 2)) | ((~v84(constB50, 1)) <=> v123(constB50, 1)) | ((~v84(constB50, 0)) <=> v123(constB50, 0)))))),
% 14.78/9.97 inference(quant_inst,[status(thm)],[])).
% 14.78/9.97 tff(8753,plain,
% 14.78/9.97 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB50)) | (~(((~v84(constB50, 0)) <=> v123(constB50, 0)) | ((~v84(constB50, 2)) <=> v123(constB50, 2)) | ((~v84(constB50, 1)) <=> v123(constB50, 1))))),
% 14.78/9.97 inference(modus_ponens,[status(thm)],[8752, 8751])).
% 14.78/9.97 tff(8754,plain,
% 14.78/9.97 ((~v94(constB50)) | (~(((~v84(constB50, 0)) <=> v123(constB50, 0)) | ((~v84(constB50, 2)) <=> v123(constB50, 2)) | ((~v84(constB50, 1)) <=> v123(constB50, 1))))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8753, 2517])).
% 14.78/9.97 tff(8755,plain,
% 14.78/9.97 (~(((~v84(constB50, 0)) <=> v123(constB50, 0)) | ((~v84(constB50, 2)) <=> v123(constB50, 2)) | ((~v84(constB50, 1)) <=> v123(constB50, 1)))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8754, 8747])).
% 14.78/9.97 tff(8756,plain,
% 14.78/9.97 ((((~v84(constB50, 0)) <=> v123(constB50, 0)) | ((~v84(constB50, 2)) <=> v123(constB50, 2)) | ((~v84(constB50, 1)) <=> v123(constB50, 1))) | (~((~v84(constB50, 2)) <=> v123(constB50, 2)))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8757,plain,
% 14.78/9.97 (~((~v84(constB50, 2)) <=> v123(constB50, 2))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8756, 8755])).
% 14.78/9.97 tff(8758,plain,
% 14.78/9.97 (((~v84(constB50, 2)) <=> v123(constB50, 2)) | (~v84(constB50, 2)) | v123(constB50, 2)),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8759,plain,
% 14.78/9.97 (~v84(constB50, 2)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8758, 8757, 8657])).
% 14.78/9.97 tff(8760,plain,
% 14.78/9.97 (((~v84(constB51, 2)) <=> v84(constB50, 2)) | (~v84(constB51, 2)) | v84(constB50, 2)),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8761,plain,
% 14.78/9.97 (~v84(constB51, 2)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8760, 8759, 7929])).
% 14.78/9.97 tff(8762,plain,
% 14.78/9.97 ((((~v84(constB51, 1)) <=> v84(constB50, 1)) | ((~v84(constB51, 2)) <=> v84(constB50, 2)) | ((~v84(constB51, 0)) <=> v84(constB50, 0))) | (~((~v84(constB51, 0)) <=> v84(constB50, 0)))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8763,plain,
% 14.78/9.97 (~((~v84(constB51, 0)) <=> v84(constB50, 0))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8762, 7927])).
% 14.78/9.97 tff(8764,plain,
% 14.78/9.97 ((((~v123(constB50, 2)) <=> v121(constB49, 2)) | ((~v123(constB50, 1)) <=> v121(constB49, 1)) | ((~v123(constB50, 0)) <=> v121(constB49, 0))) | (~((~v123(constB50, 0)) <=> v121(constB49, 0)))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8765,plain,
% 14.78/9.97 (~((~v123(constB50, 0)) <=> v121(constB49, 0))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8764, 7936])).
% 14.78/9.97 tff(8766,plain,
% 14.78/9.97 ((((~v121(constB49, 2)) <=> v124(constB49, 2)) | ((~v121(constB49, 0)) <=> v124(constB49, 0)) | ((~v121(constB49, 1)) <=> v124(constB49, 1))) | (~((~v121(constB49, 0)) <=> v124(constB49, 0)))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8767,plain,
% 14.78/9.97 (~((~v121(constB49, 0)) <=> v124(constB49, 0))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8766, 7950])).
% 14.78/9.97 tff(8768,plain,
% 14.78/9.97 ((v124(constB49, 2) | (~v124(constB49, 0)) | (~v124(constB49, 1))) | v124(constB49, 0)),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8769,plain,
% 14.78/9.97 (v124(constB49, 0)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8768, 8651])).
% 14.78/9.97 tff(8770,plain,
% 14.78/9.97 (((~v121(constB49, 0)) <=> v124(constB49, 0)) | v121(constB49, 0) | (~v124(constB49, 0))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8771,plain,
% 14.78/9.97 (v121(constB49, 0)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8770, 8769, 8767])).
% 14.78/9.97 tff(8772,plain,
% 14.78/9.97 (((~v123(constB50, 0)) <=> v121(constB49, 0)) | v123(constB50, 0) | (~v121(constB49, 0))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8773,plain,
% 14.78/9.97 (v123(constB50, 0)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8772, 8771, 8765])).
% 14.78/9.97 tff(8774,plain,
% 14.78/9.97 ((((~v84(constB50, 0)) <=> v123(constB50, 0)) | ((~v84(constB50, 2)) <=> v123(constB50, 2)) | ((~v84(constB50, 1)) <=> v123(constB50, 1))) | (~((~v84(constB50, 0)) <=> v123(constB50, 0)))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8775,plain,
% 14.78/9.97 (~((~v84(constB50, 0)) <=> v123(constB50, 0))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8774, 8755])).
% 14.78/9.97 tff(8776,plain,
% 14.78/9.97 (((~v84(constB50, 0)) <=> v123(constB50, 0)) | v84(constB50, 0) | (~v123(constB50, 0))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8777,plain,
% 14.78/9.97 (v84(constB50, 0)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8776, 8775, 8773])).
% 14.78/9.97 tff(8778,plain,
% 14.78/9.97 (((~v84(constB51, 0)) <=> v84(constB50, 0)) | v84(constB51, 0) | (~v84(constB50, 0))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8779,plain,
% 14.78/9.97 (v84(constB51, 0)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8778, 8777, 8763])).
% 14.78/9.97 tff(8780,plain,
% 14.78/9.97 ((((~v84(constB51, 1)) <=> v84(constB50, 1)) | ((~v84(constB51, 2)) <=> v84(constB50, 2)) | ((~v84(constB51, 0)) <=> v84(constB50, 0))) | (~((~v84(constB51, 1)) <=> v84(constB50, 1)))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8781,plain,
% 14.78/9.97 (~((~v84(constB51, 1)) <=> v84(constB50, 1))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8780, 7927])).
% 14.78/9.97 tff(8782,plain,
% 14.78/9.97 ((((~v123(constB50, 2)) <=> v121(constB49, 2)) | ((~v123(constB50, 1)) <=> v121(constB49, 1)) | ((~v123(constB50, 0)) <=> v121(constB49, 0))) | (~((~v123(constB50, 1)) <=> v121(constB49, 1)))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8783,plain,
% 14.78/9.97 (~((~v123(constB50, 1)) <=> v121(constB49, 1))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8782, 7936])).
% 14.78/9.97 tff(8784,plain,
% 14.78/9.97 ((((~v121(constB49, 2)) <=> v124(constB49, 2)) | ((~v121(constB49, 0)) <=> v124(constB49, 0)) | ((~v121(constB49, 1)) <=> v124(constB49, 1))) | (~((~v121(constB49, 1)) <=> v124(constB49, 1)))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8785,plain,
% 14.78/9.97 (~((~v121(constB49, 1)) <=> v124(constB49, 1))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8784, 7950])).
% 14.78/9.97 tff(8786,plain,
% 14.78/9.97 ((v124(constB49, 2) | (~v124(constB49, 0)) | (~v124(constB49, 1))) | v124(constB49, 1)),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8787,plain,
% 14.78/9.97 (v124(constB49, 1)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8786, 8651])).
% 14.78/9.97 tff(8788,plain,
% 14.78/9.97 (((~v121(constB49, 1)) <=> v124(constB49, 1)) | v121(constB49, 1) | (~v124(constB49, 1))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8789,plain,
% 14.78/9.97 (v121(constB49, 1)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8788, 8787, 8785])).
% 14.78/9.97 tff(8790,plain,
% 14.78/9.97 (((~v123(constB50, 1)) <=> v121(constB49, 1)) | v123(constB50, 1) | (~v121(constB49, 1))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8791,plain,
% 14.78/9.97 (v123(constB50, 1)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8790, 8789, 8783])).
% 14.78/9.97 tff(8792,plain,
% 14.78/9.97 ((((~v84(constB50, 0)) <=> v123(constB50, 0)) | ((~v84(constB50, 2)) <=> v123(constB50, 2)) | ((~v84(constB50, 1)) <=> v123(constB50, 1))) | (~((~v84(constB50, 1)) <=> v123(constB50, 1)))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8793,plain,
% 14.78/9.97 (~((~v84(constB50, 1)) <=> v123(constB50, 1))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8792, 8755])).
% 14.78/9.97 tff(8794,plain,
% 14.78/9.97 (((~v84(constB50, 1)) <=> v123(constB50, 1)) | v84(constB50, 1) | (~v123(constB50, 1))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8795,plain,
% 14.78/9.97 (v84(constB50, 1)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8794, 8793, 8791])).
% 14.78/9.97 tff(8796,plain,
% 14.78/9.97 (((~v84(constB51, 1)) <=> v84(constB50, 1)) | v84(constB51, 1) | (~v84(constB50, 1))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8797,plain,
% 14.78/9.97 (v84(constB51, 1)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8796, 8795, 8781])).
% 14.78/9.97 tff(8798,plain,
% 14.78/9.97 ((~(v84(constB51, 2) | (~v84(constB51, 1)) | (~v84(constB51, 0)))) | v84(constB51, 2) | (~v84(constB51, 1)) | (~v84(constB51, 0))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8799,plain,
% 14.78/9.97 (~(v84(constB51, 2) | (~v84(constB51, 1)) | (~v84(constB51, 0)))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8798, 8797, 8779, 8761])).
% 14.78/9.97 tff(8800,plain,
% 14.78/9.97 ((~(v116(constB51) <=> (~(v84(constB51, 2) | (~v84(constB51, 1)) | (~v84(constB51, 0)))))) | v116(constB51) | (v84(constB51, 2) | (~v84(constB51, 1)) | (~v84(constB51, 0)))),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8801,plain,
% 14.78/9.97 (v116(constB51)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8800, 8799, 7893])).
% 14.78/9.97 tff(8802,plain,
% 14.78/9.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB51)) | (~(v124(constB51, 0) | v124(constB51, 1) | (~v124(constB51, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB51)) | (~(v124(constB51, 0) | v124(constB51, 1) | (~v124(constB51, 2)))))),
% 14.78/9.97 inference(rewrite,[status(thm)],[])).
% 14.78/9.97 tff(8803,plain,
% 14.78/9.97 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB51)) | (~(v124(constB51, 0) | v124(constB51, 1) | (~v124(constB51, 2)))))),
% 14.78/9.97 inference(quant_inst,[status(thm)],[])).
% 14.78/9.97 tff(8804,plain,
% 14.78/9.97 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB51)) | (~(v124(constB51, 0) | v124(constB51, 1) | (~v124(constB51, 2))))),
% 14.78/9.97 inference(modus_ponens,[status(thm)],[8803, 8802])).
% 14.78/9.97 tff(8805,plain,
% 14.78/9.97 ((~v116(constB51)) | (~(v124(constB51, 0) | v124(constB51, 1) | (~v124(constB51, 2))))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8804, 3309])).
% 14.78/9.97 tff(8806,plain,
% 14.78/9.97 (~(v124(constB51, 0) | v124(constB51, 1) | (~v124(constB51, 2)))),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8805, 8801])).
% 14.78/9.97 tff(8807,plain,
% 14.78/9.97 ((v124(constB51, 0) | v124(constB51, 1) | (~v124(constB51, 2))) | v124(constB51, 2)),
% 14.78/9.97 inference(tautology,[status(thm)],[])).
% 14.78/9.97 tff(8808,plain,
% 14.78/9.97 (v124(constB51, 2)),
% 14.78/9.97 inference(unit_resolution,[status(thm)],[8807, 8806])).
% 14.78/9.97 tff(8809,plain,
% 14.78/9.97 (((~v121(constB51, 2)) <=> v124(constB51, 2)) | v121(constB51, 2) | (~v124(constB51, 2))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8810,plain,
% 14.78/9.98 (v121(constB51, 2)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8809, 8808, 7891])).
% 14.78/9.98 tff(8811,plain,
% 14.78/9.98 (((~v123(constB52, 2)) <=> v121(constB51, 2)) | v123(constB52, 2) | (~v121(constB51, 2))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8812,plain,
% 14.78/9.98 (v123(constB52, 2)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8811, 8810, 7877])).
% 14.78/9.98 tff(8813,plain,
% 14.78/9.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB51, constB52)) | (v94(constB52) <=> (~((~v95(constB52)) | (~v104(constB52))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB51, constB52)) | (v94(constB52) <=> (~((~v95(constB52)) | (~v104(constB52))))))),
% 14.78/9.98 inference(rewrite,[status(thm)],[])).
% 14.78/9.98 tff(8814,plain,
% 14.78/9.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB51, constB52)) | (v94(constB52) <=> (~((~v95(constB52)) | (~v104(constB52))))))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(8815,plain,
% 14.78/9.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB51, constB52)) | (v94(constB52) <=> (~((~v95(constB52)) | (~v104(constB52)))))),
% 14.78/9.98 inference(modus_ponens,[status(thm)],[8814, 8813])).
% 14.78/9.98 tff(8816,plain,
% 14.78/9.98 (v94(constB52) <=> (~((~v95(constB52)) | (~v104(constB52))))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8815, 7871, 770])).
% 14.78/9.98 tff(8817,plain,
% 14.78/9.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52))))))),
% 14.78/9.98 inference(rewrite,[status(thm)],[])).
% 14.78/9.98 tff(8818,plain,
% 14.78/9.98 (((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v96(constB52)) | (~v1(constB52)))))) <=> ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52))))))),
% 14.78/9.98 inference(rewrite,[status(thm)],[])).
% 14.78/9.98 tff(8819,plain,
% 14.78/9.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v96(constB52)) | (~v1(constB52))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52)))))))),
% 14.78/9.98 inference(monotonicity,[status(thm)],[8818])).
% 14.78/9.98 tff(8820,plain,
% 14.78/9.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v96(constB52)) | (~v1(constB52))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52))))))),
% 14.78/9.98 inference(transitivity,[status(thm)],[8819, 8817])).
% 14.78/9.98 tff(8821,plain,
% 14.78/9.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v96(constB52)) | (~v1(constB52))))))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(8822,plain,
% 14.78/9.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52)))))),
% 14.78/9.98 inference(modus_ponens,[status(thm)],[8821, 8820])).
% 14.78/9.98 tff(8823,plain,
% 14.78/9.98 (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52))))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8822, 7871, 790])).
% 14.78/9.98 tff(8824,plain,
% 14.78/9.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB51, constB52)) | ((~v96(constB52)) <=> v98(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB51, constB52)) | ((~v96(constB52)) <=> v98(constB52)))),
% 14.78/9.98 inference(rewrite,[status(thm)],[])).
% 14.78/9.98 tff(8825,plain,
% 14.78/9.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB51, constB52)) | ((~v96(constB52)) <=> v98(constB52)))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(8826,plain,
% 14.78/9.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB51, constB52)) | ((~v96(constB52)) <=> v98(constB52))),
% 14.78/9.98 inference(modus_ponens,[status(thm)],[8825, 8824])).
% 14.78/9.98 tff(8827,plain,
% 14.78/9.98 ((~v96(constB52)) <=> v98(constB52)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8826, 7871, 2332])).
% 14.78/9.98 tff(8828,plain,
% 14.78/9.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v98(constB52) <=> v1(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v98(constB52) <=> v1(constB51)))),
% 14.78/9.98 inference(rewrite,[status(thm)],[])).
% 14.78/9.98 tff(8829,plain,
% 14.78/9.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v98(constB52) <=> v1(constB51)))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(8830,plain,
% 14.78/9.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v98(constB52) <=> v1(constB51))),
% 14.78/9.98 inference(modus_ponens,[status(thm)],[8829, 8828])).
% 14.78/9.98 tff(8831,plain,
% 14.78/9.98 (v98(constB52) <=> v1(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8830, 7871, 2346])).
% 14.78/9.98 tff(8832,plain,
% 14.78/9.98 ((~(v98(constB52) <=> v1(constB51))) | (~v98(constB52)) | v1(constB51)),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8833,plain,
% 14.78/9.98 ((~(v98(constB52) <=> v1(constB51))) | (~v98(constB52))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8832, 7910])).
% 14.78/9.98 tff(8834,plain,
% 14.78/9.98 (~v98(constB52)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8833, 8831])).
% 14.78/9.98 tff(8835,plain,
% 14.78/9.98 ((~((~v96(constB52)) <=> v98(constB52))) | v96(constB52) | v98(constB52)),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8836,plain,
% 14.78/9.98 (v96(constB52)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8835, 8834, 8827])).
% 14.78/9.98 tff(8837,plain,
% 14.78/9.98 (v1(constB52) <=> v1(constB52)),
% 14.78/9.98 inference(rewrite,[status(thm)],[])).
% 14.78/9.98 tff(8838,axiom,(v1(constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_52')).
% 14.78/9.98 tff(8839,plain,
% 14.78/9.98 (v1(constB52)),
% 14.78/9.98 inference(modus_ponens,[status(thm)],[8838, 8837])).
% 14.78/9.98 tff(8840,plain,
% 14.78/9.98 ((~((~v1(constB52)) | (~v96(constB52)))) | (~v1(constB52)) | (~v96(constB52))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8841,plain,
% 14.78/9.98 ((~((~v1(constB52)) | (~v96(constB52)))) | (~v96(constB52))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8840, 8839])).
% 14.78/9.98 tff(8842,plain,
% 14.78/9.98 (~((~v1(constB52)) | (~v96(constB52)))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8841, 8836])).
% 14.78/9.98 tff(8843,plain,
% 14.78/9.98 ((~(v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52)))))) | v95(constB52) | ((~v1(constB52)) | (~v96(constB52)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8844,plain,
% 14.78/9.98 (v95(constB52)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8843, 8842, 8823])).
% 14.78/9.98 tff(8845,plain,
% 14.78/9.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v102(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v102(constB51)))),
% 14.78/9.98 inference(rewrite,[status(thm)],[])).
% 14.78/9.98 tff(8846,plain,
% 14.78/9.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v102(constB51)))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(8847,plain,
% 14.78/9.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v102(constB51))),
% 14.78/9.98 inference(modus_ponens,[status(thm)],[8846, 8845])).
% 14.78/9.98 tff(8848,plain,
% 14.78/9.98 (v104(constB52) <=> v102(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8847, 7871, 2373])).
% 14.78/9.98 tff(8849,plain,
% 14.78/9.98 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB51) <=> (v105(constB51) | v106(constB51)))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(8850,plain,
% 14.78/9.98 (v102(constB51) <=> (v105(constB51) | v106(constB51))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8849, 2384])).
% 14.78/9.98 tff(8851,plain,
% 14.78/9.98 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB51) <=> (~((~v107(constB51)) | (~v120(constB51)))))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(8852,plain,
% 14.78/9.98 (v106(constB51) <=> (~((~v107(constB51)) | (~v120(constB51))))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8851, 2396])).
% 14.78/9.98 tff(8853,plain,
% 14.78/9.98 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB51) <=> (v108(constB51) | v119(constB51)))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(8854,plain,
% 14.78/9.98 (v107(constB51) <=> (v108(constB51) | v119(constB51))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8853, 2405])).
% 14.78/9.98 tff(8855,plain,
% 14.78/9.98 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB51) <=> (v109(constB51) | v118(constB51)))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(8856,plain,
% 14.78/9.98 (v108(constB51) <=> (v109(constB51) | v118(constB51))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8855, 2414])).
% 14.78/9.98 tff(8857,plain,
% 14.78/9.98 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB51) <=> (v110(constB51) | v117(constB51)))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(8858,plain,
% 14.78/9.98 (v109(constB51) <=> (v110(constB51) | v117(constB51))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8857, 2423])).
% 14.78/9.98 tff(8859,plain,
% 14.78/9.98 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB51) <=> (v111(constB51) | v116(constB51)))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(8860,plain,
% 14.78/9.98 (v110(constB51) <=> (v111(constB51) | v116(constB51))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8859, 2432])).
% 14.78/9.98 tff(8861,plain,
% 14.78/9.98 ((v111(constB51) | v116(constB51)) | (~v116(constB51))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8862,plain,
% 14.78/9.98 (v111(constB51) | v116(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8861, 8801])).
% 14.78/9.98 tff(8863,plain,
% 14.78/9.98 ((~(v110(constB51) <=> (v111(constB51) | v116(constB51)))) | v110(constB51) | (~(v111(constB51) | v116(constB51)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8864,plain,
% 14.78/9.98 (v110(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8863, 8862, 8860])).
% 14.78/9.98 tff(8865,plain,
% 14.78/9.98 ((v110(constB51) | v117(constB51)) | (~v110(constB51))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8866,plain,
% 14.78/9.98 (v110(constB51) | v117(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8865, 8864])).
% 14.78/9.98 tff(8867,plain,
% 14.78/9.98 ((~(v109(constB51) <=> (v110(constB51) | v117(constB51)))) | v109(constB51) | (~(v110(constB51) | v117(constB51)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8868,plain,
% 14.78/9.98 (v109(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8867, 8866, 8858])).
% 14.78/9.98 tff(8869,plain,
% 14.78/9.98 ((v109(constB51) | v118(constB51)) | (~v109(constB51))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8870,plain,
% 14.78/9.98 (v109(constB51) | v118(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8869, 8868])).
% 14.78/9.98 tff(8871,plain,
% 14.78/9.98 ((~(v108(constB51) <=> (v109(constB51) | v118(constB51)))) | v108(constB51) | (~(v109(constB51) | v118(constB51)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8872,plain,
% 14.78/9.98 (v108(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8871, 8870, 8856])).
% 14.78/9.98 tff(8873,plain,
% 14.78/9.98 ((v108(constB51) | v119(constB51)) | (~v108(constB51))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8874,plain,
% 14.78/9.98 (v108(constB51) | v119(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8873, 8872])).
% 14.78/9.98 tff(8875,plain,
% 14.78/9.98 ((~(v107(constB51) <=> (v108(constB51) | v119(constB51)))) | v107(constB51) | (~(v108(constB51) | v119(constB51)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8876,plain,
% 14.78/9.98 (v107(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8875, 8874, 8854])).
% 14.78/9.98 tff(8877,plain,
% 14.78/9.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB51)) <=> v105(constB51))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(8878,plain,
% 14.78/9.98 ((~v120(constB51)) <=> v105(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8877, 2484])).
% 14.78/9.98 tff(8879,plain,
% 14.78/9.98 ((~((~v120(constB51)) <=> v105(constB51))) | v120(constB51) | v105(constB51)),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8880,plain,
% 14.78/9.98 ((~((~v120(constB51)) <=> v105(constB51))) | v120(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8879, 7884])).
% 14.78/9.98 tff(8881,plain,
% 14.78/9.98 (v120(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8880, 8878])).
% 14.78/9.98 tff(8882,plain,
% 14.78/9.98 ((~((~v107(constB51)) | (~v120(constB51)))) | (~v107(constB51)) | (~v120(constB51))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8883,plain,
% 14.78/9.98 ((~((~v107(constB51)) | (~v120(constB51)))) | (~v107(constB51))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8882, 8881])).
% 14.78/9.98 tff(8884,plain,
% 14.78/9.98 (~((~v107(constB51)) | (~v120(constB51)))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8883, 8876])).
% 14.78/9.98 tff(8885,plain,
% 14.78/9.98 ((~(v106(constB51) <=> (~((~v107(constB51)) | (~v120(constB51)))))) | v106(constB51) | ((~v107(constB51)) | (~v120(constB51)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8886,plain,
% 14.78/9.98 (v106(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8885, 8884, 8852])).
% 14.78/9.98 tff(8887,plain,
% 14.78/9.98 ((v105(constB51) | v106(constB51)) | (~v106(constB51))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8888,plain,
% 14.78/9.98 (v105(constB51) | v106(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8887, 8886])).
% 14.78/9.98 tff(8889,plain,
% 14.78/9.98 ((~(v102(constB51) <=> (v105(constB51) | v106(constB51)))) | v102(constB51) | (~(v105(constB51) | v106(constB51)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8890,plain,
% 14.78/9.98 (v102(constB51)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8889, 8888, 8850])).
% 14.78/9.98 tff(8891,plain,
% 14.78/9.98 ((~(v104(constB52) <=> v102(constB51))) | v104(constB52) | (~v102(constB51))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8892,plain,
% 14.78/9.98 (v104(constB52)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8891, 8890, 8848])).
% 14.78/9.98 tff(8893,plain,
% 14.78/9.98 ((~((~v95(constB52)) | (~v104(constB52)))) | (~v95(constB52)) | (~v104(constB52))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8894,plain,
% 14.78/9.98 (~((~v95(constB52)) | (~v104(constB52)))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8893, 8892, 8844])).
% 14.78/9.98 tff(8895,plain,
% 14.78/9.98 ((~(v94(constB52) <=> (~((~v95(constB52)) | (~v104(constB52)))))) | v94(constB52) | ((~v95(constB52)) | (~v104(constB52)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8896,plain,
% 14.78/9.98 (v94(constB52)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8895, 8894, 8816])).
% 14.78/9.98 tff(8897,plain,
% 14.78/9.98 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB52)) | (~(((~v84(constB52, 2)) <=> v123(constB52, 2)) | ((~v84(constB52, 1)) <=> v123(constB52, 1)) | ((~v84(constB52, 0)) <=> v123(constB52, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB52)) | (~(((~v84(constB52, 2)) <=> v123(constB52, 2)) | ((~v84(constB52, 1)) <=> v123(constB52, 1)) | ((~v84(constB52, 0)) <=> v123(constB52, 0)))))),
% 14.78/9.98 inference(rewrite,[status(thm)],[])).
% 14.78/9.98 tff(8898,plain,
% 14.78/9.98 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB52)) | (~(((~v84(constB52, 2)) <=> v123(constB52, 2)) | ((~v84(constB52, 1)) <=> v123(constB52, 1)) | ((~v84(constB52, 0)) <=> v123(constB52, 0)))))),
% 14.78/9.98 inference(quant_inst,[status(thm)],[])).
% 14.78/9.98 tff(8899,plain,
% 14.78/9.98 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB52)) | (~(((~v84(constB52, 2)) <=> v123(constB52, 2)) | ((~v84(constB52, 1)) <=> v123(constB52, 1)) | ((~v84(constB52, 0)) <=> v123(constB52, 0))))),
% 14.78/9.98 inference(modus_ponens,[status(thm)],[8898, 8897])).
% 14.78/9.98 tff(8900,plain,
% 14.78/9.98 ((~v94(constB52)) | (~(((~v84(constB52, 2)) <=> v123(constB52, 2)) | ((~v84(constB52, 1)) <=> v123(constB52, 1)) | ((~v84(constB52, 0)) <=> v123(constB52, 0))))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8899, 2517])).
% 14.78/9.98 tff(8901,plain,
% 14.78/9.98 (~(((~v84(constB52, 2)) <=> v123(constB52, 2)) | ((~v84(constB52, 1)) <=> v123(constB52, 1)) | ((~v84(constB52, 0)) <=> v123(constB52, 0)))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8900, 8896])).
% 14.78/9.98 tff(8902,plain,
% 14.78/9.98 ((((~v84(constB52, 2)) <=> v123(constB52, 2)) | ((~v84(constB52, 1)) <=> v123(constB52, 1)) | ((~v84(constB52, 0)) <=> v123(constB52, 0))) | (~((~v84(constB52, 2)) <=> v123(constB52, 2)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8903,plain,
% 14.78/9.98 (~((~v84(constB52, 2)) <=> v123(constB52, 2))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8902, 8901])).
% 14.78/9.98 tff(8904,plain,
% 14.78/9.98 (((~v84(constB52, 2)) <=> v123(constB52, 2)) | v84(constB52, 2) | (~v123(constB52, 2))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8905,plain,
% 14.78/9.98 (v84(constB52, 2)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8904, 8903, 8812])).
% 14.78/9.98 tff(8906,plain,
% 14.78/9.98 (((~v84(constB53, 2)) <=> v84(constB52, 2)) | v84(constB53, 2) | (~v84(constB52, 2))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8907,plain,
% 14.78/9.98 (v84(constB53, 2)),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8906, 8905, 7868])).
% 14.78/9.98 tff(8908,plain,
% 14.78/9.98 ((((~v84(constB53, 1)) <=> v84(constB52, 1)) | ((~v84(constB53, 2)) <=> v84(constB52, 2)) | ((~v84(constB53, 0)) <=> v84(constB52, 0))) | (~((~v84(constB53, 0)) <=> v84(constB52, 0)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8909,plain,
% 14.78/9.98 (~((~v84(constB53, 0)) <=> v84(constB52, 0))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8908, 7866])).
% 14.78/9.98 tff(8910,plain,
% 14.78/9.98 ((((~v123(constB52, 2)) <=> v121(constB51, 2)) | ((~v123(constB52, 1)) <=> v121(constB51, 1)) | ((~v123(constB52, 0)) <=> v121(constB51, 0))) | (~((~v123(constB52, 0)) <=> v121(constB51, 0)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8911,plain,
% 14.78/9.98 (~((~v123(constB52, 0)) <=> v121(constB51, 0))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8910, 7875])).
% 14.78/9.98 tff(8912,plain,
% 14.78/9.98 ((((~v121(constB51, 2)) <=> v124(constB51, 2)) | ((~v121(constB51, 0)) <=> v124(constB51, 0)) | ((~v121(constB51, 1)) <=> v124(constB51, 1))) | (~((~v121(constB51, 0)) <=> v124(constB51, 0)))),
% 14.78/9.98 inference(tautology,[status(thm)],[])).
% 14.78/9.98 tff(8913,plain,
% 14.78/9.98 (~((~v121(constB51, 0)) <=> v124(constB51, 0))),
% 14.78/9.98 inference(unit_resolution,[status(thm)],[8912, 7889])).
% 14.78/9.98 tff(8914,plain,
% 14.78/9.99 ((v124(constB51, 0) | v124(constB51, 1) | (~v124(constB51, 2))) | (~v124(constB51, 0))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8915,plain,
% 14.78/9.99 (~v124(constB51, 0)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8914, 8806])).
% 14.78/9.99 tff(8916,plain,
% 14.78/9.99 (((~v121(constB51, 0)) <=> v124(constB51, 0)) | (~v121(constB51, 0)) | v124(constB51, 0)),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8917,plain,
% 14.78/9.99 (~v121(constB51, 0)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8916, 8915, 8913])).
% 14.78/9.99 tff(8918,plain,
% 14.78/9.99 (((~v123(constB52, 0)) <=> v121(constB51, 0)) | (~v123(constB52, 0)) | v121(constB51, 0)),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8919,plain,
% 14.78/9.99 (~v123(constB52, 0)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8918, 8917, 8911])).
% 14.78/9.99 tff(8920,plain,
% 14.78/9.99 ((((~v84(constB52, 2)) <=> v123(constB52, 2)) | ((~v84(constB52, 1)) <=> v123(constB52, 1)) | ((~v84(constB52, 0)) <=> v123(constB52, 0))) | (~((~v84(constB52, 0)) <=> v123(constB52, 0)))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8921,plain,
% 14.78/9.99 (~((~v84(constB52, 0)) <=> v123(constB52, 0))),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8920, 8901])).
% 14.78/9.99 tff(8922,plain,
% 14.78/9.99 (((~v84(constB52, 0)) <=> v123(constB52, 0)) | (~v84(constB52, 0)) | v123(constB52, 0)),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8923,plain,
% 14.78/9.99 (~v84(constB52, 0)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8922, 8921, 8919])).
% 14.78/9.99 tff(8924,plain,
% 14.78/9.99 (((~v84(constB53, 0)) <=> v84(constB52, 0)) | (~v84(constB53, 0)) | v84(constB52, 0)),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8925,plain,
% 14.78/9.99 (~v84(constB53, 0)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8924, 8923, 8909])).
% 14.78/9.99 tff(8926,plain,
% 14.78/9.99 ((((~v84(constB53, 1)) <=> v84(constB52, 1)) | ((~v84(constB53, 2)) <=> v84(constB52, 2)) | ((~v84(constB53, 0)) <=> v84(constB52, 0))) | (~((~v84(constB53, 1)) <=> v84(constB52, 1)))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8927,plain,
% 14.78/9.99 (~((~v84(constB53, 1)) <=> v84(constB52, 1))),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8926, 7866])).
% 14.78/9.99 tff(8928,plain,
% 14.78/9.99 ((((~v123(constB52, 2)) <=> v121(constB51, 2)) | ((~v123(constB52, 1)) <=> v121(constB51, 1)) | ((~v123(constB52, 0)) <=> v121(constB51, 0))) | (~((~v123(constB52, 1)) <=> v121(constB51, 1)))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8929,plain,
% 14.78/9.99 (~((~v123(constB52, 1)) <=> v121(constB51, 1))),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8928, 7875])).
% 14.78/9.99 tff(8930,plain,
% 14.78/9.99 ((((~v121(constB51, 2)) <=> v124(constB51, 2)) | ((~v121(constB51, 0)) <=> v124(constB51, 0)) | ((~v121(constB51, 1)) <=> v124(constB51, 1))) | (~((~v121(constB51, 1)) <=> v124(constB51, 1)))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8931,plain,
% 14.78/9.99 (~((~v121(constB51, 1)) <=> v124(constB51, 1))),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8930, 7889])).
% 14.78/9.99 tff(8932,plain,
% 14.78/9.99 ((v124(constB51, 0) | v124(constB51, 1) | (~v124(constB51, 2))) | (~v124(constB51, 1))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8933,plain,
% 14.78/9.99 (~v124(constB51, 1)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8932, 8806])).
% 14.78/9.99 tff(8934,plain,
% 14.78/9.99 (((~v121(constB51, 1)) <=> v124(constB51, 1)) | (~v121(constB51, 1)) | v124(constB51, 1)),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8935,plain,
% 14.78/9.99 (~v121(constB51, 1)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8934, 8933, 8931])).
% 14.78/9.99 tff(8936,plain,
% 14.78/9.99 (((~v123(constB52, 1)) <=> v121(constB51, 1)) | (~v123(constB52, 1)) | v121(constB51, 1)),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8937,plain,
% 14.78/9.99 (~v123(constB52, 1)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8936, 8935, 8929])).
% 14.78/9.99 tff(8938,plain,
% 14.78/9.99 ((((~v84(constB52, 2)) <=> v123(constB52, 2)) | ((~v84(constB52, 1)) <=> v123(constB52, 1)) | ((~v84(constB52, 0)) <=> v123(constB52, 0))) | (~((~v84(constB52, 1)) <=> v123(constB52, 1)))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8939,plain,
% 14.78/9.99 (~((~v84(constB52, 1)) <=> v123(constB52, 1))),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8938, 8901])).
% 14.78/9.99 tff(8940,plain,
% 14.78/9.99 (((~v84(constB52, 1)) <=> v123(constB52, 1)) | (~v84(constB52, 1)) | v123(constB52, 1)),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8941,plain,
% 14.78/9.99 (~v84(constB52, 1)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8940, 8939, 8937])).
% 14.78/9.99 tff(8942,plain,
% 14.78/9.99 (((~v84(constB53, 1)) <=> v84(constB52, 1)) | (~v84(constB53, 1)) | v84(constB52, 1)),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8943,plain,
% 14.78/9.99 (~v84(constB53, 1)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8942, 8941, 8927])).
% 14.78/9.99 tff(8944,plain,
% 14.78/9.99 ((~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))) | v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8945,plain,
% 14.78/9.99 (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8944, 8943, 8925, 8907])).
% 14.78/9.99 tff(8946,plain,
% 14.78/9.99 ((~(v117(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))))) | v117(constB53) | (v84(constB53, 1) | v84(constB53, 0) | (~v84(constB53, 2)))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8947,plain,
% 14.78/9.99 (v117(constB53)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8946, 8945, 7832])).
% 14.78/9.99 tff(8948,plain,
% 14.78/9.99 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB53)) | (~(v124(constB53, 0) | (~v124(constB53, 2)) | (~v124(constB53, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB53)) | (~(v124(constB53, 0) | (~v124(constB53, 2)) | (~v124(constB53, 1)))))),
% 14.78/9.99 inference(rewrite,[status(thm)],[])).
% 14.78/9.99 tff(8949,plain,
% 14.78/9.99 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB53)) | (~(v124(constB53, 0) | (~v124(constB53, 2)) | (~v124(constB53, 1)))))),
% 14.78/9.99 inference(quant_inst,[status(thm)],[])).
% 14.78/9.99 tff(8950,plain,
% 14.78/9.99 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB53)) | (~(v124(constB53, 0) | (~v124(constB53, 2)) | (~v124(constB53, 1))))),
% 14.78/9.99 inference(modus_ponens,[status(thm)],[8949, 8948])).
% 14.78/9.99 tff(8951,plain,
% 14.78/9.99 ((~v117(constB53)) | (~(v124(constB53, 0) | (~v124(constB53, 2)) | (~v124(constB53, 1))))),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8950, 2584])).
% 14.78/9.99 tff(8952,plain,
% 14.78/9.99 (~(v124(constB53, 0) | (~v124(constB53, 2)) | (~v124(constB53, 1)))),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8951, 8947])).
% 14.78/9.99 tff(8953,plain,
% 14.78/9.99 ((v124(constB53, 0) | (~v124(constB53, 2)) | (~v124(constB53, 1))) | (~v124(constB53, 0))),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8954,plain,
% 14.78/9.99 (~v124(constB53, 0)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8953, 8952])).
% 14.78/9.99 tff(8955,plain,
% 14.78/9.99 (((~v121(constB53, 0)) <=> v124(constB53, 0)) | (~v121(constB53, 0)) | v124(constB53, 0)),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8956,plain,
% 14.78/9.99 (~v121(constB53, 0)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8955, 8954, 7825])).
% 14.78/9.99 tff(8957,plain,
% 14.78/9.99 (((~v123(constB54, 0)) <=> v121(constB53, 0)) | (~v123(constB54, 0)) | v121(constB53, 0)),
% 14.78/9.99 inference(tautology,[status(thm)],[])).
% 14.78/9.99 tff(8958,plain,
% 14.78/9.99 (~v123(constB54, 0)),
% 14.78/9.99 inference(unit_resolution,[status(thm)],[8957, 8956, 7811])).
% 14.78/9.99 tff(8959,plain,
% 14.78/9.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB53, constB54)) | (v94(constB54) <=> (~((~v95(constB54)) | (~v104(constB54))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB53, constB54)) | (v94(constB54) <=> (~((~v95(constB54)) | (~v104(constB54))))))),
% 14.78/9.99 inference(rewrite,[status(thm)],[])).
% 14.78/9.99 tff(8960,plain,
% 14.78/9.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB53, constB54)) | (v94(constB54) <=> (~((~v95(constB54)) | (~v104(constB54))))))),
% 14.78/9.99 inference(quant_inst,[status(thm)],[])).
% 14.86/9.99 tff(8961,plain,
% 14.86/9.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB53, constB54)) | (v94(constB54) <=> (~((~v95(constB54)) | (~v104(constB54)))))),
% 14.86/9.99 inference(modus_ponens,[status(thm)],[8960, 8959])).
% 14.86/9.99 tff(8962,plain,
% 14.86/9.99 (v94(constB54) <=> (~((~v95(constB54)) | (~v104(constB54))))),
% 14.86/9.99 inference(unit_resolution,[status(thm)],[8961, 7805, 770])).
% 14.86/9.99 tff(8963,plain,
% 14.86/9.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54))))))),
% 14.86/9.99 inference(rewrite,[status(thm)],[])).
% 14.86/9.99 tff(8964,plain,
% 14.86/9.99 (((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v96(constB54)) | (~v1(constB54)))))) <=> ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54))))))),
% 14.86/9.99 inference(rewrite,[status(thm)],[])).
% 14.86/9.99 tff(8965,plain,
% 14.86/9.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v96(constB54)) | (~v1(constB54))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54)))))))),
% 14.86/9.99 inference(monotonicity,[status(thm)],[8964])).
% 14.86/9.99 tff(8966,plain,
% 14.86/9.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v96(constB54)) | (~v1(constB54))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54))))))),
% 14.86/9.99 inference(transitivity,[status(thm)],[8965, 8963])).
% 14.86/9.99 tff(8967,plain,
% 14.86/9.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v96(constB54)) | (~v1(constB54))))))),
% 14.86/9.99 inference(quant_inst,[status(thm)],[])).
% 14.86/9.99 tff(8968,plain,
% 14.86/9.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54)))))),
% 14.86/9.99 inference(modus_ponens,[status(thm)],[8967, 8966])).
% 14.86/9.99 tff(8969,plain,
% 14.86/9.99 (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54))))),
% 14.86/9.99 inference(unit_resolution,[status(thm)],[8968, 7805, 790])).
% 14.86/9.99 tff(8970,plain,
% 14.86/9.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB53, constB54)) | ((~v96(constB54)) <=> v98(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB53, constB54)) | ((~v96(constB54)) <=> v98(constB54)))),
% 14.86/9.99 inference(rewrite,[status(thm)],[])).
% 14.86/9.99 tff(8971,plain,
% 14.86/9.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB53, constB54)) | ((~v96(constB54)) <=> v98(constB54)))),
% 14.86/9.99 inference(quant_inst,[status(thm)],[])).
% 14.86/9.99 tff(8972,plain,
% 14.86/9.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB53, constB54)) | ((~v96(constB54)) <=> v98(constB54))),
% 14.86/9.99 inference(modus_ponens,[status(thm)],[8971, 8970])).
% 14.86/9.99 tff(8973,plain,
% 14.86/9.99 ((~v96(constB54)) <=> v98(constB54)),
% 14.86/9.99 inference(unit_resolution,[status(thm)],[8972, 7805, 2332])).
% 14.86/9.99 tff(8974,plain,
% 14.86/9.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v98(constB54) <=> v1(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v98(constB54) <=> v1(constB53)))),
% 14.86/9.99 inference(rewrite,[status(thm)],[])).
% 14.86/9.99 tff(8975,plain,
% 14.86/9.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v98(constB54) <=> v1(constB53)))),
% 14.86/9.99 inference(quant_inst,[status(thm)],[])).
% 14.86/9.99 tff(8976,plain,
% 14.86/9.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v98(constB54) <=> v1(constB53))),
% 14.86/9.99 inference(modus_ponens,[status(thm)],[8975, 8974])).
% 14.86/9.99 tff(8977,plain,
% 14.86/9.99 (v98(constB54) <=> v1(constB53)),
% 14.86/9.99 inference(unit_resolution,[status(thm)],[8976, 7805, 2346])).
% 14.86/9.99 tff(8978,plain,
% 14.86/9.99 ((~(v98(constB54) <=> v1(constB53))) | (~v98(constB54)) | v1(constB53)),
% 14.86/9.99 inference(tautology,[status(thm)],[])).
% 14.86/9.99 tff(8979,plain,
% 14.86/9.99 ((~(v98(constB54) <=> v1(constB53))) | (~v98(constB54))),
% 14.86/9.99 inference(unit_resolution,[status(thm)],[8978, 7849])).
% 14.86/9.99 tff(8980,plain,
% 14.86/9.99 (~v98(constB54)),
% 14.86/9.99 inference(unit_resolution,[status(thm)],[8979, 8977])).
% 14.86/9.99 tff(8981,plain,
% 14.86/9.99 ((~((~v96(constB54)) <=> v98(constB54))) | v96(constB54) | v98(constB54)),
% 14.86/9.99 inference(tautology,[status(thm)],[])).
% 14.86/9.99 tff(8982,plain,
% 14.86/9.99 (v96(constB54)),
% 14.86/9.99 inference(unit_resolution,[status(thm)],[8981, 8980, 8973])).
% 14.86/9.99 tff(8983,plain,
% 14.86/9.99 (v1(constB54) <=> v1(constB54)),
% 14.86/9.99 inference(rewrite,[status(thm)],[])).
% 14.86/9.99 tff(8984,axiom,(v1(constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_54')).
% 14.86/9.99 tff(8985,plain,
% 14.86/9.99 (v1(constB54)),
% 14.86/9.99 inference(modus_ponens,[status(thm)],[8984, 8983])).
% 14.86/9.99 tff(8986,plain,
% 14.86/9.99 ((~((~v1(constB54)) | (~v96(constB54)))) | (~v1(constB54)) | (~v96(constB54))),
% 14.86/9.99 inference(tautology,[status(thm)],[])).
% 14.86/9.99 tff(8987,plain,
% 14.86/9.99 ((~((~v1(constB54)) | (~v96(constB54)))) | (~v96(constB54))),
% 14.86/9.99 inference(unit_resolution,[status(thm)],[8986, 8985])).
% 14.86/9.99 tff(8988,plain,
% 14.86/9.99 (~((~v1(constB54)) | (~v96(constB54)))),
% 14.86/9.99 inference(unit_resolution,[status(thm)],[8987, 8982])).
% 14.86/9.99 tff(8989,plain,
% 14.86/9.99 ((~(v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54)))))) | v95(constB54) | ((~v1(constB54)) | (~v96(constB54)))),
% 14.86/9.99 inference(tautology,[status(thm)],[])).
% 14.86/9.99 tff(8990,plain,
% 14.86/9.99 (v95(constB54)),
% 14.86/9.99 inference(unit_resolution,[status(thm)],[8989, 8988, 8969])).
% 14.86/9.99 tff(8991,plain,
% 14.86/9.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v102(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v102(constB53)))),
% 14.86/9.99 inference(rewrite,[status(thm)],[])).
% 14.86/9.99 tff(8992,plain,
% 14.86/9.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v102(constB53)))),
% 14.86/9.99 inference(quant_inst,[status(thm)],[])).
% 14.86/9.99 tff(8993,plain,
% 14.86/9.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v102(constB53))),
% 14.86/9.99 inference(modus_ponens,[status(thm)],[8992, 8991])).
% 14.86/9.99 tff(8994,plain,
% 14.86/9.99 (v104(constB54) <=> v102(constB53)),
% 14.86/9.99 inference(unit_resolution,[status(thm)],[8993, 7805, 2373])).
% 14.86/9.99 tff(8995,plain,
% 14.86/9.99 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB53) <=> (v105(constB53) | v106(constB53)))),
% 14.86/10.00 inference(quant_inst,[status(thm)],[])).
% 14.86/10.00 tff(8996,plain,
% 14.86/10.00 (v102(constB53) <=> (v105(constB53) | v106(constB53))),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[8995, 2384])).
% 14.86/10.00 tff(8997,plain,
% 14.86/10.00 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB53) <=> (~((~v107(constB53)) | (~v120(constB53)))))),
% 14.86/10.00 inference(quant_inst,[status(thm)],[])).
% 14.86/10.00 tff(8998,plain,
% 14.86/10.00 (v106(constB53) <=> (~((~v107(constB53)) | (~v120(constB53))))),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[8997, 2396])).
% 14.86/10.00 tff(8999,plain,
% 14.86/10.00 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB53) <=> (v108(constB53) | v119(constB53)))),
% 14.86/10.00 inference(quant_inst,[status(thm)],[])).
% 14.86/10.00 tff(9000,plain,
% 14.86/10.00 (v107(constB53) <=> (v108(constB53) | v119(constB53))),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[8999, 2405])).
% 14.86/10.00 tff(9001,plain,
% 14.86/10.00 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB53) <=> (v109(constB53) | v118(constB53)))),
% 14.86/10.00 inference(quant_inst,[status(thm)],[])).
% 14.86/10.00 tff(9002,plain,
% 14.86/10.00 (v108(constB53) <=> (v109(constB53) | v118(constB53))),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9001, 2414])).
% 14.86/10.00 tff(9003,plain,
% 14.86/10.00 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB53) <=> (v110(constB53) | v117(constB53)))),
% 14.86/10.00 inference(quant_inst,[status(thm)],[])).
% 14.86/10.00 tff(9004,plain,
% 14.86/10.00 (v109(constB53) <=> (v110(constB53) | v117(constB53))),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9003, 2423])).
% 14.86/10.00 tff(9005,plain,
% 14.86/10.00 ((v110(constB53) | v117(constB53)) | (~v117(constB53))),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9006,plain,
% 14.86/10.00 (v110(constB53) | v117(constB53)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9005, 8947])).
% 14.86/10.00 tff(9007,plain,
% 14.86/10.00 ((~(v109(constB53) <=> (v110(constB53) | v117(constB53)))) | v109(constB53) | (~(v110(constB53) | v117(constB53)))),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9008,plain,
% 14.86/10.00 (v109(constB53)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9007, 9006, 9004])).
% 14.86/10.00 tff(9009,plain,
% 14.86/10.00 ((v109(constB53) | v118(constB53)) | (~v109(constB53))),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9010,plain,
% 14.86/10.00 (v109(constB53) | v118(constB53)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9009, 9008])).
% 14.86/10.00 tff(9011,plain,
% 14.86/10.00 ((~(v108(constB53) <=> (v109(constB53) | v118(constB53)))) | v108(constB53) | (~(v109(constB53) | v118(constB53)))),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9012,plain,
% 14.86/10.00 (v108(constB53)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9011, 9010, 9002])).
% 14.86/10.00 tff(9013,plain,
% 14.86/10.00 ((v108(constB53) | v119(constB53)) | (~v108(constB53))),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9014,plain,
% 14.86/10.00 (v108(constB53) | v119(constB53)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9013, 9012])).
% 14.86/10.00 tff(9015,plain,
% 14.86/10.00 ((~(v107(constB53) <=> (v108(constB53) | v119(constB53)))) | v107(constB53) | (~(v108(constB53) | v119(constB53)))),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9016,plain,
% 14.86/10.00 (v107(constB53)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9015, 9014, 9000])).
% 14.86/10.00 tff(9017,plain,
% 14.86/10.00 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB53)) <=> v105(constB53))),
% 14.86/10.00 inference(quant_inst,[status(thm)],[])).
% 14.86/10.00 tff(9018,plain,
% 14.86/10.00 ((~v120(constB53)) <=> v105(constB53)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9017, 2484])).
% 14.86/10.00 tff(9019,plain,
% 14.86/10.00 ((~((~v120(constB53)) <=> v105(constB53))) | v120(constB53) | v105(constB53)),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9020,plain,
% 14.86/10.00 ((~((~v120(constB53)) <=> v105(constB53))) | v120(constB53)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9019, 7818])).
% 14.86/10.00 tff(9021,plain,
% 14.86/10.00 (v120(constB53)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9020, 9018])).
% 14.86/10.00 tff(9022,plain,
% 14.86/10.00 ((~((~v107(constB53)) | (~v120(constB53)))) | (~v107(constB53)) | (~v120(constB53))),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9023,plain,
% 14.86/10.00 ((~((~v107(constB53)) | (~v120(constB53)))) | (~v107(constB53))),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9022, 9021])).
% 14.86/10.00 tff(9024,plain,
% 14.86/10.00 (~((~v107(constB53)) | (~v120(constB53)))),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9023, 9016])).
% 14.86/10.00 tff(9025,plain,
% 14.86/10.00 ((~(v106(constB53) <=> (~((~v107(constB53)) | (~v120(constB53)))))) | v106(constB53) | ((~v107(constB53)) | (~v120(constB53)))),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9026,plain,
% 14.86/10.00 (v106(constB53)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9025, 9024, 8998])).
% 14.86/10.00 tff(9027,plain,
% 14.86/10.00 ((v105(constB53) | v106(constB53)) | (~v106(constB53))),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9028,plain,
% 14.86/10.00 (v105(constB53) | v106(constB53)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9027, 9026])).
% 14.86/10.00 tff(9029,plain,
% 14.86/10.00 ((~(v102(constB53) <=> (v105(constB53) | v106(constB53)))) | v102(constB53) | (~(v105(constB53) | v106(constB53)))),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9030,plain,
% 14.86/10.00 (v102(constB53)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9029, 9028, 8996])).
% 14.86/10.00 tff(9031,plain,
% 14.86/10.00 ((~(v104(constB54) <=> v102(constB53))) | v104(constB54) | (~v102(constB53))),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9032,plain,
% 14.86/10.00 (v104(constB54)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9031, 9030, 8994])).
% 14.86/10.00 tff(9033,plain,
% 14.86/10.00 ((~((~v95(constB54)) | (~v104(constB54)))) | (~v95(constB54)) | (~v104(constB54))),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9034,plain,
% 14.86/10.00 (~((~v95(constB54)) | (~v104(constB54)))),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9033, 9032, 8990])).
% 14.86/10.00 tff(9035,plain,
% 14.86/10.00 ((~(v94(constB54) <=> (~((~v95(constB54)) | (~v104(constB54)))))) | v94(constB54) | ((~v95(constB54)) | (~v104(constB54)))),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9036,plain,
% 14.86/10.00 (v94(constB54)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9035, 9034, 8962])).
% 14.86/10.00 tff(9037,plain,
% 14.86/10.00 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB54)) | (~(((~v84(constB54, 0)) <=> v123(constB54, 0)) | ((~v84(constB54, 2)) <=> v123(constB54, 2)) | ((~v84(constB54, 1)) <=> v123(constB54, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB54)) | (~(((~v84(constB54, 0)) <=> v123(constB54, 0)) | ((~v84(constB54, 2)) <=> v123(constB54, 2)) | ((~v84(constB54, 1)) <=> v123(constB54, 1)))))),
% 14.86/10.00 inference(rewrite,[status(thm)],[])).
% 14.86/10.00 tff(9038,plain,
% 14.86/10.00 (((~v94(constB54)) | (~(((~v84(constB54, 2)) <=> v123(constB54, 2)) | ((~v84(constB54, 1)) <=> v123(constB54, 1)) | ((~v84(constB54, 0)) <=> v123(constB54, 0))))) <=> ((~v94(constB54)) | (~(((~v84(constB54, 0)) <=> v123(constB54, 0)) | ((~v84(constB54, 2)) <=> v123(constB54, 2)) | ((~v84(constB54, 1)) <=> v123(constB54, 1)))))),
% 14.86/10.00 inference(rewrite,[status(thm)],[])).
% 14.86/10.00 tff(9039,plain,
% 14.86/10.00 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB54)) | (~(((~v84(constB54, 2)) <=> v123(constB54, 2)) | ((~v84(constB54, 1)) <=> v123(constB54, 1)) | ((~v84(constB54, 0)) <=> v123(constB54, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB54)) | (~(((~v84(constB54, 0)) <=> v123(constB54, 0)) | ((~v84(constB54, 2)) <=> v123(constB54, 2)) | ((~v84(constB54, 1)) <=> v123(constB54, 1))))))),
% 14.86/10.00 inference(monotonicity,[status(thm)],[9038])).
% 14.86/10.00 tff(9040,plain,
% 14.86/10.00 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB54)) | (~(((~v84(constB54, 2)) <=> v123(constB54, 2)) | ((~v84(constB54, 1)) <=> v123(constB54, 1)) | ((~v84(constB54, 0)) <=> v123(constB54, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB54)) | (~(((~v84(constB54, 0)) <=> v123(constB54, 0)) | ((~v84(constB54, 2)) <=> v123(constB54, 2)) | ((~v84(constB54, 1)) <=> v123(constB54, 1)))))),
% 14.86/10.00 inference(transitivity,[status(thm)],[9039, 9037])).
% 14.86/10.00 tff(9041,plain,
% 14.86/10.00 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB54)) | (~(((~v84(constB54, 2)) <=> v123(constB54, 2)) | ((~v84(constB54, 1)) <=> v123(constB54, 1)) | ((~v84(constB54, 0)) <=> v123(constB54, 0)))))),
% 14.86/10.00 inference(quant_inst,[status(thm)],[])).
% 14.86/10.00 tff(9042,plain,
% 14.86/10.00 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB54)) | (~(((~v84(constB54, 0)) <=> v123(constB54, 0)) | ((~v84(constB54, 2)) <=> v123(constB54, 2)) | ((~v84(constB54, 1)) <=> v123(constB54, 1))))),
% 14.86/10.00 inference(modus_ponens,[status(thm)],[9041, 9040])).
% 14.86/10.00 tff(9043,plain,
% 14.86/10.00 ((~v94(constB54)) | (~(((~v84(constB54, 0)) <=> v123(constB54, 0)) | ((~v84(constB54, 2)) <=> v123(constB54, 2)) | ((~v84(constB54, 1)) <=> v123(constB54, 1))))),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9042, 2517])).
% 14.86/10.00 tff(9044,plain,
% 14.86/10.00 (~(((~v84(constB54, 0)) <=> v123(constB54, 0)) | ((~v84(constB54, 2)) <=> v123(constB54, 2)) | ((~v84(constB54, 1)) <=> v123(constB54, 1)))),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9043, 9036])).
% 14.86/10.00 tff(9045,plain,
% 14.86/10.00 ((((~v84(constB54, 0)) <=> v123(constB54, 0)) | ((~v84(constB54, 2)) <=> v123(constB54, 2)) | ((~v84(constB54, 1)) <=> v123(constB54, 1))) | (~((~v84(constB54, 0)) <=> v123(constB54, 0)))),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9046,plain,
% 14.86/10.00 (~((~v84(constB54, 0)) <=> v123(constB54, 0))),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9045, 9044])).
% 14.86/10.00 tff(9047,plain,
% 14.86/10.00 (((~v84(constB54, 0)) <=> v123(constB54, 0)) | (~v84(constB54, 0)) | v123(constB54, 0)),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9048,plain,
% 14.86/10.00 (~v84(constB54, 0)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9047, 9046, 8958])).
% 14.86/10.00 tff(9049,plain,
% 14.86/10.00 (((~v84(constB55, 0)) <=> v84(constB54, 0)) | (~v84(constB55, 0)) | v84(constB54, 0)),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9050,plain,
% 14.86/10.00 (~v84(constB55, 0)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9049, 9048, 7802])).
% 14.86/10.00 tff(9051,plain,
% 14.86/10.00 ((v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0))) | v84(constB55, 0)),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9052,plain,
% 14.86/10.00 (v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0))),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9051, 9050])).
% 14.86/10.00 tff(9053,plain,
% 14.86/10.00 ((~(v114(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0)))))) | (~v114(constB55)) | (~(v84(constB55, 1) | v84(constB55, 2) | (~v84(constB55, 0))))),
% 14.86/10.00 inference(tautology,[status(thm)],[])).
% 14.86/10.00 tff(9054,plain,
% 14.86/10.00 (~v114(constB55)),
% 14.86/10.00 inference(unit_resolution,[status(thm)],[9053, 9052, 7766])).
% 14.86/10.00 tff(9055,plain,
% 14.86/10.00 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 2)) | (~v84(constB55, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 2)) | (~v84(constB55, 0))))))),
% 14.86/10.00 inference(rewrite,[status(thm)],[])).
% 14.86/10.00 tff(9056,plain,
% 14.86/10.00 ((v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2))))) <=> (v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 2)) | (~v84(constB55, 0)))))),
% 14.86/10.00 inference(rewrite,[status(thm)],[])).
% 14.86/10.00 tff(9057,plain,
% 14.86/10.00 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 2)) | (~v84(constB55, 0))))))),
% 14.87/10.00 inference(monotonicity,[status(thm)],[9056])).
% 14.87/10.00 tff(9058,plain,
% 14.87/10.00 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 2)) | (~v84(constB55, 0))))))),
% 14.87/10.00 inference(transitivity,[status(thm)],[9057, 9055])).
% 14.87/10.00 tff(9059,plain,
% 14.87/10.00 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 0)) | (~v84(constB55, 2)))))),
% 14.87/10.00 inference(quant_inst,[status(thm)],[])).
% 14.87/10.00 tff(9060,plain,
% 14.87/10.00 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 2)) | (~v84(constB55, 0)))))),
% 14.87/10.00 inference(modus_ponens,[status(thm)],[9059, 9058])).
% 14.87/10.00 tff(9061,plain,
% 14.87/10.00 (v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 2)) | (~v84(constB55, 0))))),
% 14.87/10.00 inference(unit_resolution,[status(thm)],[9060, 2701])).
% 14.87/10.00 tff(9062,plain,
% 14.87/10.00 ((v84(constB55, 1) | (~v84(constB55, 2)) | (~v84(constB55, 0))) | v84(constB55, 0)),
% 14.87/10.00 inference(tautology,[status(thm)],[])).
% 14.87/10.00 tff(9063,plain,
% 14.87/10.00 (v84(constB55, 1) | (~v84(constB55, 2)) | (~v84(constB55, 0))),
% 14.87/10.00 inference(unit_resolution,[status(thm)],[9062, 9050])).
% 14.87/10.00 tff(9064,plain,
% 14.87/10.00 ((~(v118(constB55) <=> (~(v84(constB55, 1) | (~v84(constB55, 2)) | (~v84(constB55, 0)))))) | (~v118(constB55)) | (~(v84(constB55, 1) | (~v84(constB55, 2)) | (~v84(constB55, 0))))),
% 14.87/10.00 inference(tautology,[status(thm)],[])).
% 14.87/10.00 tff(9065,plain,
% 14.87/10.00 (~v118(constB55)),
% 14.87/10.00 inference(unit_resolution,[status(thm)],[9064, 9063, 9061])).
% 14.87/10.00 tff(9066,plain,
% 14.87/10.00 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))))))),
% 14.87/10.00 inference(rewrite,[status(thm)],[])).
% 14.87/10.00 tff(9067,plain,
% 14.87/10.00 ((v117(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | (~v84(constB55, 2))))) <=> (v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))))),
% 14.87/10.00 inference(rewrite,[status(thm)],[])).
% 14.87/10.00 tff(9068,plain,
% 14.87/10.00 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | (~v84(constB55, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))))))),
% 14.87/10.00 inference(monotonicity,[status(thm)],[9067])).
% 14.87/10.00 tff(9069,plain,
% 14.87/10.00 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | (~v84(constB55, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))))))),
% 14.87/10.00 inference(transitivity,[status(thm)],[9068, 9066])).
% 14.87/10.00 tff(9070,plain,
% 14.87/10.00 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | (~v84(constB55, 2)))))),
% 14.87/10.01 inference(quant_inst,[status(thm)],[])).
% 14.87/10.01 tff(9071,plain,
% 14.87/10.01 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))))),
% 14.87/10.01 inference(modus_ponens,[status(thm)],[9070, 9069])).
% 14.87/10.01 tff(9072,plain,
% 14.87/10.01 (v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9071, 1199])).
% 14.87/10.01 tff(9073,plain,
% 14.87/10.01 ((((~v84(constB55, 1)) <=> v84(constB54, 1)) | ((~v84(constB55, 2)) <=> v84(constB54, 2)) | ((~v84(constB55, 0)) <=> v84(constB54, 0))) | (~((~v84(constB55, 1)) <=> v84(constB54, 1)))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9074,plain,
% 14.87/10.01 (~((~v84(constB55, 1)) <=> v84(constB54, 1))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9073, 7800])).
% 14.87/10.01 tff(9075,plain,
% 14.87/10.01 ((((~v123(constB54, 2)) <=> v121(constB53, 2)) | ((~v123(constB54, 1)) <=> v121(constB53, 1)) | ((~v123(constB54, 0)) <=> v121(constB53, 0))) | (~((~v123(constB54, 1)) <=> v121(constB53, 1)))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9076,plain,
% 14.87/10.01 (~((~v123(constB54, 1)) <=> v121(constB53, 1))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9075, 7809])).
% 14.87/10.01 tff(9077,plain,
% 14.87/10.01 ((((~v121(constB53, 2)) <=> v124(constB53, 2)) | ((~v121(constB53, 0)) <=> v124(constB53, 0)) | ((~v121(constB53, 1)) <=> v124(constB53, 1))) | (~((~v121(constB53, 1)) <=> v124(constB53, 1)))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9078,plain,
% 14.87/10.01 (~((~v121(constB53, 1)) <=> v124(constB53, 1))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9077, 7823])).
% 14.87/10.01 tff(9079,plain,
% 14.87/10.01 ((v124(constB53, 0) | (~v124(constB53, 2)) | (~v124(constB53, 1))) | v124(constB53, 1)),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9080,plain,
% 14.87/10.01 (v124(constB53, 1)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9079, 8952])).
% 14.87/10.01 tff(9081,plain,
% 14.87/10.01 (((~v121(constB53, 1)) <=> v124(constB53, 1)) | v121(constB53, 1) | (~v124(constB53, 1))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9082,plain,
% 14.87/10.01 (v121(constB53, 1)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9081, 9080, 9078])).
% 14.87/10.01 tff(9083,plain,
% 14.87/10.01 (((~v123(constB54, 1)) <=> v121(constB53, 1)) | v123(constB54, 1) | (~v121(constB53, 1))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9084,plain,
% 14.87/10.01 (v123(constB54, 1)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9083, 9082, 9076])).
% 14.87/10.01 tff(9085,plain,
% 14.87/10.01 ((((~v84(constB54, 0)) <=> v123(constB54, 0)) | ((~v84(constB54, 2)) <=> v123(constB54, 2)) | ((~v84(constB54, 1)) <=> v123(constB54, 1))) | (~((~v84(constB54, 1)) <=> v123(constB54, 1)))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9086,plain,
% 14.87/10.01 (~((~v84(constB54, 1)) <=> v123(constB54, 1))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9085, 9044])).
% 14.87/10.01 tff(9087,plain,
% 14.87/10.01 (((~v84(constB54, 1)) <=> v123(constB54, 1)) | v84(constB54, 1) | (~v123(constB54, 1))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9088,plain,
% 14.87/10.01 (v84(constB54, 1)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9087, 9086, 9084])).
% 14.87/10.01 tff(9089,plain,
% 14.87/10.01 (((~v84(constB55, 1)) <=> v84(constB54, 1)) | v84(constB55, 1) | (~v84(constB54, 1))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9090,plain,
% 14.87/10.01 (v84(constB55, 1)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9089, 9088, 9074])).
% 14.87/10.01 tff(9091,plain,
% 14.87/10.01 ((v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))) | (~v84(constB55, 1))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9092,plain,
% 14.87/10.01 (v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9091, 9090])).
% 14.87/10.01 tff(9093,plain,
% 14.87/10.01 ((~(v117(constB55) <=> (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2)))))) | (~v117(constB55)) | (~(v84(constB55, 1) | v84(constB55, 0) | (~v84(constB55, 2))))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9094,plain,
% 14.87/10.01 (~v117(constB55)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9093, 9092, 9072])).
% 14.87/10.01 tff(9095,plain,
% 14.87/10.01 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 1)) | (~v84(constB55, 0)))))),
% 14.87/10.01 inference(quant_inst,[status(thm)],[])).
% 14.87/10.01 tff(9096,plain,
% 14.87/10.01 (v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 1)) | (~v84(constB55, 0))))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9095, 911])).
% 14.87/10.01 tff(9097,plain,
% 14.87/10.01 ((v84(constB55, 2) | (~v84(constB55, 1)) | (~v84(constB55, 0))) | v84(constB55, 0)),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9098,plain,
% 14.87/10.01 (v84(constB55, 2) | (~v84(constB55, 1)) | (~v84(constB55, 0))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9097, 9050])).
% 14.87/10.01 tff(9099,plain,
% 14.87/10.01 ((~(v116(constB55) <=> (~(v84(constB55, 2) | (~v84(constB55, 1)) | (~v84(constB55, 0)))))) | (~v116(constB55)) | (~(v84(constB55, 2) | (~v84(constB55, 1)) | (~v84(constB55, 0))))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9100,plain,
% 14.87/10.01 (~v116(constB55)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9099, 9098, 9096])).
% 14.87/10.01 tff(9101,plain,
% 14.87/10.01 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))))))),
% 14.87/10.01 inference(rewrite,[status(thm)],[])).
% 14.87/10.01 tff(9102,plain,
% 14.87/10.01 ((v115(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 2) | (~v84(constB55, 1))))) <=> (v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))))),
% 14.87/10.01 inference(rewrite,[status(thm)],[])).
% 14.87/10.01 tff(9103,plain,
% 14.87/10.01 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 2) | (~v84(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))))))),
% 14.87/10.01 inference(monotonicity,[status(thm)],[9102])).
% 14.87/10.01 tff(9104,plain,
% 14.87/10.01 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 2) | (~v84(constB55, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))))))),
% 14.87/10.01 inference(transitivity,[status(thm)],[9103, 9101])).
% 14.87/10.01 tff(9105,plain,
% 14.87/10.01 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 2) | (~v84(constB55, 1)))))),
% 14.87/10.01 inference(quant_inst,[status(thm)],[])).
% 14.87/10.01 tff(9106,plain,
% 14.87/10.01 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))))),
% 14.87/10.01 inference(modus_ponens,[status(thm)],[9105, 9104])).
% 14.87/10.01 tff(9107,plain,
% 14.87/10.01 (v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9106, 985])).
% 14.87/10.01 tff(9108,plain,
% 14.87/10.01 ((((~v84(constB55, 1)) <=> v84(constB54, 1)) | ((~v84(constB55, 2)) <=> v84(constB54, 2)) | ((~v84(constB55, 0)) <=> v84(constB54, 0))) | (~((~v84(constB55, 2)) <=> v84(constB54, 2)))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9109,plain,
% 14.87/10.01 (~((~v84(constB55, 2)) <=> v84(constB54, 2))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9108, 7800])).
% 14.87/10.01 tff(9110,plain,
% 14.87/10.01 ((((~v123(constB54, 2)) <=> v121(constB53, 2)) | ((~v123(constB54, 1)) <=> v121(constB53, 1)) | ((~v123(constB54, 0)) <=> v121(constB53, 0))) | (~((~v123(constB54, 2)) <=> v121(constB53, 2)))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9111,plain,
% 14.87/10.01 (~((~v123(constB54, 2)) <=> v121(constB53, 2))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9110, 7809])).
% 14.87/10.01 tff(9112,plain,
% 14.87/10.01 ((((~v121(constB53, 2)) <=> v124(constB53, 2)) | ((~v121(constB53, 0)) <=> v124(constB53, 0)) | ((~v121(constB53, 1)) <=> v124(constB53, 1))) | (~((~v121(constB53, 2)) <=> v124(constB53, 2)))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9113,plain,
% 14.87/10.01 (~((~v121(constB53, 2)) <=> v124(constB53, 2))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9112, 7823])).
% 14.87/10.01 tff(9114,plain,
% 14.87/10.01 ((v124(constB53, 0) | (~v124(constB53, 2)) | (~v124(constB53, 1))) | v124(constB53, 2)),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9115,plain,
% 14.87/10.01 (v124(constB53, 2)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9114, 8952])).
% 14.87/10.01 tff(9116,plain,
% 14.87/10.01 (((~v121(constB53, 2)) <=> v124(constB53, 2)) | v121(constB53, 2) | (~v124(constB53, 2))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9117,plain,
% 14.87/10.01 (v121(constB53, 2)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9116, 9115, 9113])).
% 14.87/10.01 tff(9118,plain,
% 14.87/10.01 (((~v123(constB54, 2)) <=> v121(constB53, 2)) | v123(constB54, 2) | (~v121(constB53, 2))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9119,plain,
% 14.87/10.01 (v123(constB54, 2)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9118, 9117, 9111])).
% 14.87/10.01 tff(9120,plain,
% 14.87/10.01 ((((~v84(constB54, 0)) <=> v123(constB54, 0)) | ((~v84(constB54, 2)) <=> v123(constB54, 2)) | ((~v84(constB54, 1)) <=> v123(constB54, 1))) | (~((~v84(constB54, 2)) <=> v123(constB54, 2)))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9121,plain,
% 14.87/10.01 (~((~v84(constB54, 2)) <=> v123(constB54, 2))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9120, 9044])).
% 14.87/10.01 tff(9122,plain,
% 14.87/10.01 (((~v84(constB54, 2)) <=> v123(constB54, 2)) | v84(constB54, 2) | (~v123(constB54, 2))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9123,plain,
% 14.87/10.01 (v84(constB54, 2)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9122, 9121, 9119])).
% 14.87/10.01 tff(9124,plain,
% 14.87/10.01 (((~v84(constB55, 2)) <=> v84(constB54, 2)) | v84(constB55, 2) | (~v84(constB54, 2))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9125,plain,
% 14.87/10.01 (v84(constB55, 2)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9124, 9123, 9109])).
% 14.87/10.01 tff(9126,plain,
% 14.87/10.01 ((v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))) | (~v84(constB55, 2))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9127,plain,
% 14.87/10.01 (v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9126, 9125])).
% 14.87/10.01 tff(9128,plain,
% 14.87/10.01 ((~(v115(constB55) <=> (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1)))))) | (~v115(constB55)) | (~(v84(constB55, 2) | v84(constB55, 0) | (~v84(constB55, 1))))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9129,plain,
% 14.87/10.01 (~v115(constB55)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9128, 9127, 9107])).
% 14.87/10.01 tff(9130,plain,
% 14.87/10.01 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2))))),
% 14.87/10.01 inference(quant_inst,[status(thm)],[])).
% 14.87/10.01 tff(9131,plain,
% 14.87/10.01 (v113(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9130, 1466])).
% 14.87/10.01 tff(9132,plain,
% 14.87/10.01 ((v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)) | (~v84(constB55, 2))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9133,plain,
% 14.87/10.01 (v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9132, 9125])).
% 14.87/10.01 tff(9134,plain,
% 14.87/10.01 ((~(v113(constB55) <=> (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2))))) | (~v113(constB55)) | (~(v84(constB55, 0) | v84(constB55, 1) | v84(constB55, 2)))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9135,plain,
% 14.87/10.01 (~v113(constB55)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9134, 9133, 9131])).
% 14.87/10.01 tff(9136,plain,
% 14.87/10.01 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB55) | v114(constB55) | v115(constB55) | v116(constB55) | v117(constB55) | v118(constB55) | (~(v124(constB55, 2) | v124(constB55, 1) | (~v124(constB55, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB55) | v114(constB55) | v115(constB55) | v116(constB55) | v117(constB55) | v118(constB55) | (~(v124(constB55, 2) | v124(constB55, 1) | (~v124(constB55, 0)))))),
% 14.87/10.01 inference(rewrite,[status(thm)],[])).
% 14.87/10.01 tff(9137,plain,
% 14.87/10.01 ((v118(constB55) | v117(constB55) | v116(constB55) | v115(constB55) | v114(constB55) | v113(constB55) | (~(v124(constB55, 2) | v124(constB55, 1) | (~v124(constB55, 0))))) <=> (v113(constB55) | v114(constB55) | v115(constB55) | v116(constB55) | v117(constB55) | v118(constB55) | (~(v124(constB55, 2) | v124(constB55, 1) | (~v124(constB55, 0)))))),
% 14.87/10.01 inference(rewrite,[status(thm)],[])).
% 14.87/10.01 tff(9138,plain,
% 14.87/10.01 ((~(v124(constB55, 1) | v124(constB55, 2) | (~v124(constB55, 0)))) <=> (~(v124(constB55, 2) | v124(constB55, 1) | (~v124(constB55, 0))))),
% 14.87/10.01 inference(rewrite,[status(thm)],[])).
% 14.87/10.01 tff(9139,plain,
% 14.87/10.01 ((v118(constB55) | v117(constB55) | v116(constB55) | v115(constB55) | v114(constB55) | v113(constB55) | (~(v124(constB55, 1) | v124(constB55, 2) | (~v124(constB55, 0))))) <=> (v118(constB55) | v117(constB55) | v116(constB55) | v115(constB55) | v114(constB55) | v113(constB55) | (~(v124(constB55, 2) | v124(constB55, 1) | (~v124(constB55, 0)))))),
% 14.87/10.01 inference(monotonicity,[status(thm)],[9138])).
% 14.87/10.01 tff(9140,plain,
% 14.87/10.01 ((v118(constB55) | v117(constB55) | v116(constB55) | v115(constB55) | v114(constB55) | v113(constB55) | (~(v124(constB55, 1) | v124(constB55, 2) | (~v124(constB55, 0))))) <=> (v113(constB55) | v114(constB55) | v115(constB55) | v116(constB55) | v117(constB55) | v118(constB55) | (~(v124(constB55, 2) | v124(constB55, 1) | (~v124(constB55, 0)))))),
% 14.87/10.01 inference(transitivity,[status(thm)],[9139, 9137])).
% 14.87/10.01 tff(9141,plain,
% 14.87/10.01 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB55) | v117(constB55) | v116(constB55) | v115(constB55) | v114(constB55) | v113(constB55) | (~(v124(constB55, 1) | v124(constB55, 2) | (~v124(constB55, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB55) | v114(constB55) | v115(constB55) | v116(constB55) | v117(constB55) | v118(constB55) | (~(v124(constB55, 2) | v124(constB55, 1) | (~v124(constB55, 0))))))),
% 14.87/10.01 inference(monotonicity,[status(thm)],[9140])).
% 14.87/10.01 tff(9142,plain,
% 14.87/10.01 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB55) | v117(constB55) | v116(constB55) | v115(constB55) | v114(constB55) | v113(constB55) | (~(v124(constB55, 1) | v124(constB55, 2) | (~v124(constB55, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB55) | v114(constB55) | v115(constB55) | v116(constB55) | v117(constB55) | v118(constB55) | (~(v124(constB55, 2) | v124(constB55, 1) | (~v124(constB55, 0)))))),
% 14.87/10.01 inference(transitivity,[status(thm)],[9141, 9136])).
% 14.87/10.01 tff(9143,plain,
% 14.87/10.01 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB55) | v117(constB55) | v116(constB55) | v115(constB55) | v114(constB55) | v113(constB55) | (~(v124(constB55, 1) | v124(constB55, 2) | (~v124(constB55, 0)))))),
% 14.87/10.01 inference(quant_inst,[status(thm)],[])).
% 14.87/10.01 tff(9144,plain,
% 14.87/10.01 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB55) | v114(constB55) | v115(constB55) | v116(constB55) | v117(constB55) | v118(constB55) | (~(v124(constB55, 2) | v124(constB55, 1) | (~v124(constB55, 0))))),
% 14.87/10.01 inference(modus_ponens,[status(thm)],[9143, 9142])).
% 14.87/10.01 tff(9145,plain,
% 14.87/10.01 (v113(constB55) | v114(constB55) | v115(constB55) | v116(constB55) | v117(constB55) | v118(constB55) | (~(v124(constB55, 2) | v124(constB55, 1) | (~v124(constB55, 0))))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9144, 2777])).
% 14.87/10.01 tff(9146,plain,
% 14.87/10.01 (~(v124(constB55, 2) | v124(constB55, 1) | (~v124(constB55, 0)))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9145, 9135, 9129, 9100, 9094, 9065, 9054])).
% 14.87/10.01 tff(9147,plain,
% 14.87/10.01 ((v124(constB55, 2) | v124(constB55, 1) | (~v124(constB55, 0))) | (~v124(constB55, 2))),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9148,plain,
% 14.87/10.01 (~v124(constB55, 2)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9147, 9146])).
% 14.87/10.01 tff(9149,plain,
% 14.87/10.01 (((~v121(constB55, 2)) <=> v124(constB55, 2)) | (~v121(constB55, 2)) | v124(constB55, 2)),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9150,plain,
% 14.87/10.01 (~v121(constB55, 2)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9149, 9148, 7764])).
% 14.87/10.01 tff(9151,plain,
% 14.87/10.01 (((~v123(constB56, 2)) <=> v121(constB55, 2)) | (~v123(constB56, 2)) | v121(constB55, 2)),
% 14.87/10.01 inference(tautology,[status(thm)],[])).
% 14.87/10.01 tff(9152,plain,
% 14.87/10.01 (~v123(constB56, 2)),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9151, 9150, 7750])).
% 14.87/10.01 tff(9153,plain,
% 14.87/10.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB55, constB56)) | (v94(constB56) <=> (~((~v95(constB56)) | (~v104(constB56))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB55, constB56)) | (v94(constB56) <=> (~((~v95(constB56)) | (~v104(constB56))))))),
% 14.87/10.01 inference(rewrite,[status(thm)],[])).
% 14.87/10.01 tff(9154,plain,
% 14.87/10.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB55, constB56)) | (v94(constB56) <=> (~((~v95(constB56)) | (~v104(constB56))))))),
% 14.87/10.01 inference(quant_inst,[status(thm)],[])).
% 14.87/10.01 tff(9155,plain,
% 14.87/10.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB55, constB56)) | (v94(constB56) <=> (~((~v95(constB56)) | (~v104(constB56)))))),
% 14.87/10.01 inference(modus_ponens,[status(thm)],[9154, 9153])).
% 14.87/10.01 tff(9156,plain,
% 14.87/10.01 (v94(constB56) <=> (~((~v95(constB56)) | (~v104(constB56))))),
% 14.87/10.01 inference(unit_resolution,[status(thm)],[9155, 7744, 770])).
% 14.87/10.01 tff(9157,plain,
% 14.87/10.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56))))))),
% 14.87/10.01 inference(rewrite,[status(thm)],[])).
% 14.87/10.01 tff(9158,plain,
% 14.87/10.01 (((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v96(constB56)) | (~v1(constB56)))))) <=> ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56))))))),
% 14.87/10.01 inference(rewrite,[status(thm)],[])).
% 14.87/10.01 tff(9159,plain,
% 14.87/10.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v96(constB56)) | (~v1(constB56))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56)))))))),
% 14.87/10.02 inference(monotonicity,[status(thm)],[9158])).
% 14.87/10.02 tff(9160,plain,
% 14.87/10.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v96(constB56)) | (~v1(constB56))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56))))))),
% 14.87/10.02 inference(transitivity,[status(thm)],[9159, 9157])).
% 14.87/10.02 tff(9161,plain,
% 14.87/10.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v96(constB56)) | (~v1(constB56))))))),
% 14.87/10.02 inference(quant_inst,[status(thm)],[])).
% 14.87/10.02 tff(9162,plain,
% 14.87/10.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56)))))),
% 14.87/10.02 inference(modus_ponens,[status(thm)],[9161, 9160])).
% 14.87/10.02 tff(9163,plain,
% 14.87/10.02 (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56))))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9162, 7744, 790])).
% 14.87/10.02 tff(9164,plain,
% 14.87/10.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB55, constB56)) | ((~v96(constB56)) <=> v98(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB55, constB56)) | ((~v96(constB56)) <=> v98(constB56)))),
% 14.87/10.02 inference(rewrite,[status(thm)],[])).
% 14.87/10.02 tff(9165,plain,
% 14.87/10.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB55, constB56)) | ((~v96(constB56)) <=> v98(constB56)))),
% 14.87/10.02 inference(quant_inst,[status(thm)],[])).
% 14.87/10.02 tff(9166,plain,
% 14.87/10.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB55, constB56)) | ((~v96(constB56)) <=> v98(constB56))),
% 14.87/10.02 inference(modus_ponens,[status(thm)],[9165, 9164])).
% 14.87/10.02 tff(9167,plain,
% 14.87/10.02 ((~v96(constB56)) <=> v98(constB56)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9166, 7744, 2332])).
% 14.87/10.02 tff(9168,plain,
% 14.87/10.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v98(constB56) <=> v1(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v98(constB56) <=> v1(constB55)))),
% 14.87/10.02 inference(rewrite,[status(thm)],[])).
% 14.87/10.02 tff(9169,plain,
% 14.87/10.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v98(constB56) <=> v1(constB55)))),
% 14.87/10.02 inference(quant_inst,[status(thm)],[])).
% 14.87/10.02 tff(9170,plain,
% 14.87/10.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v98(constB56) <=> v1(constB55))),
% 14.87/10.02 inference(modus_ponens,[status(thm)],[9169, 9168])).
% 14.87/10.02 tff(9171,plain,
% 14.87/10.02 (v98(constB56) <=> v1(constB55)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9170, 7744, 2346])).
% 14.87/10.02 tff(9172,plain,
% 14.87/10.02 ((~(v98(constB56) <=> v1(constB55))) | (~v98(constB56)) | v1(constB55)),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9173,plain,
% 14.87/10.02 ((~(v98(constB56) <=> v1(constB55))) | (~v98(constB56))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9172, 7783])).
% 14.87/10.02 tff(9174,plain,
% 14.87/10.02 (~v98(constB56)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9173, 9171])).
% 14.87/10.02 tff(9175,plain,
% 14.87/10.02 ((~((~v96(constB56)) <=> v98(constB56))) | v96(constB56) | v98(constB56)),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9176,plain,
% 14.87/10.02 (v96(constB56)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9175, 9174, 9167])).
% 14.87/10.02 tff(9177,plain,
% 14.87/10.02 (v1(constB56) <=> v1(constB56)),
% 14.87/10.02 inference(rewrite,[status(thm)],[])).
% 14.87/10.02 tff(9178,axiom,(v1(constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_56')).
% 14.87/10.02 tff(9179,plain,
% 14.87/10.02 (v1(constB56)),
% 14.87/10.02 inference(modus_ponens,[status(thm)],[9178, 9177])).
% 14.87/10.02 tff(9180,plain,
% 14.87/10.02 ((~((~v1(constB56)) | (~v96(constB56)))) | (~v1(constB56)) | (~v96(constB56))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9181,plain,
% 14.87/10.02 ((~((~v1(constB56)) | (~v96(constB56)))) | (~v96(constB56))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9180, 9179])).
% 14.87/10.02 tff(9182,plain,
% 14.87/10.02 (~((~v1(constB56)) | (~v96(constB56)))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9181, 9176])).
% 14.87/10.02 tff(9183,plain,
% 14.87/10.02 ((~(v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56)))))) | v95(constB56) | ((~v1(constB56)) | (~v96(constB56)))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9184,plain,
% 14.87/10.02 (v95(constB56)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9183, 9182, 9163])).
% 14.87/10.02 tff(9185,plain,
% 14.87/10.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v102(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v102(constB55)))),
% 14.87/10.02 inference(rewrite,[status(thm)],[])).
% 14.87/10.02 tff(9186,plain,
% 14.87/10.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v102(constB55)))),
% 14.87/10.02 inference(quant_inst,[status(thm)],[])).
% 14.87/10.02 tff(9187,plain,
% 14.87/10.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v102(constB55))),
% 14.87/10.02 inference(modus_ponens,[status(thm)],[9186, 9185])).
% 14.87/10.02 tff(9188,plain,
% 14.87/10.02 (v104(constB56) <=> v102(constB55)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9187, 7744, 2373])).
% 14.87/10.02 tff(9189,plain,
% 14.87/10.02 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB55) <=> (v105(constB55) | v106(constB55)))),
% 14.87/10.02 inference(quant_inst,[status(thm)],[])).
% 14.87/10.02 tff(9190,plain,
% 14.87/10.02 (v102(constB55) <=> (v105(constB55) | v106(constB55))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9189, 2384])).
% 14.87/10.02 tff(9191,plain,
% 14.87/10.02 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB55) <=> (~((~v107(constB55)) | (~v120(constB55)))))),
% 14.87/10.02 inference(quant_inst,[status(thm)],[])).
% 14.87/10.02 tff(9192,plain,
% 14.87/10.02 (v106(constB55) <=> (~((~v107(constB55)) | (~v120(constB55))))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9191, 2396])).
% 14.87/10.02 tff(9193,plain,
% 14.87/10.02 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB55) <=> (v108(constB55) | v119(constB55)))),
% 14.87/10.02 inference(quant_inst,[status(thm)],[])).
% 14.87/10.02 tff(9194,plain,
% 14.87/10.02 (v107(constB55) <=> (v108(constB55) | v119(constB55))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9193, 2405])).
% 14.87/10.02 tff(9195,plain,
% 14.87/10.02 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 1)) | (~v84(constB55, 2)))))),
% 14.87/10.02 inference(quant_inst,[status(thm)],[])).
% 14.87/10.02 tff(9196,plain,
% 14.87/10.02 (v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 1)) | (~v84(constB55, 2))))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9195, 2849])).
% 14.87/10.02 tff(9197,plain,
% 14.87/10.02 ((~(v84(constB55, 0) | (~v84(constB55, 1)) | (~v84(constB55, 2)))) | v84(constB55, 0) | (~v84(constB55, 1)) | (~v84(constB55, 2))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9198,plain,
% 14.87/10.02 (~(v84(constB55, 0) | (~v84(constB55, 1)) | (~v84(constB55, 2)))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9197, 9090, 9050, 9125])).
% 14.87/10.02 tff(9199,plain,
% 14.87/10.02 ((~(v119(constB55) <=> (~(v84(constB55, 0) | (~v84(constB55, 1)) | (~v84(constB55, 2)))))) | v119(constB55) | (v84(constB55, 0) | (~v84(constB55, 1)) | (~v84(constB55, 2)))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9200,plain,
% 14.87/10.02 (v119(constB55)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9199, 9198, 9196])).
% 14.87/10.02 tff(9201,plain,
% 14.87/10.02 ((v108(constB55) | v119(constB55)) | (~v119(constB55))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9202,plain,
% 14.87/10.02 (v108(constB55) | v119(constB55)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9201, 9200])).
% 14.87/10.02 tff(9203,plain,
% 14.87/10.02 ((~(v107(constB55) <=> (v108(constB55) | v119(constB55)))) | v107(constB55) | (~(v108(constB55) | v119(constB55)))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9204,plain,
% 14.87/10.02 (v107(constB55)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9203, 9202, 9194])).
% 14.87/10.02 tff(9205,plain,
% 14.87/10.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB55)) <=> v105(constB55))),
% 14.87/10.02 inference(quant_inst,[status(thm)],[])).
% 14.87/10.02 tff(9206,plain,
% 14.87/10.02 ((~v120(constB55)) <=> v105(constB55)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9205, 2484])).
% 14.87/10.02 tff(9207,plain,
% 14.87/10.02 ((~((~v120(constB55)) <=> v105(constB55))) | v120(constB55) | v105(constB55)),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9208,plain,
% 14.87/10.02 ((~((~v120(constB55)) <=> v105(constB55))) | v120(constB55)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9207, 7757])).
% 14.87/10.02 tff(9209,plain,
% 14.87/10.02 (v120(constB55)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9208, 9206])).
% 14.87/10.02 tff(9210,plain,
% 14.87/10.02 ((~((~v107(constB55)) | (~v120(constB55)))) | (~v107(constB55)) | (~v120(constB55))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9211,plain,
% 14.87/10.02 ((~((~v107(constB55)) | (~v120(constB55)))) | (~v107(constB55))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9210, 9209])).
% 14.87/10.02 tff(9212,plain,
% 14.87/10.02 (~((~v107(constB55)) | (~v120(constB55)))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9211, 9204])).
% 14.87/10.02 tff(9213,plain,
% 14.87/10.02 ((~(v106(constB55) <=> (~((~v107(constB55)) | (~v120(constB55)))))) | v106(constB55) | ((~v107(constB55)) | (~v120(constB55)))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9214,plain,
% 14.87/10.02 (v106(constB55)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9213, 9212, 9192])).
% 14.87/10.02 tff(9215,plain,
% 14.87/10.02 ((v105(constB55) | v106(constB55)) | (~v106(constB55))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9216,plain,
% 14.87/10.02 (v105(constB55) | v106(constB55)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9215, 9214])).
% 14.87/10.02 tff(9217,plain,
% 14.87/10.02 ((~(v102(constB55) <=> (v105(constB55) | v106(constB55)))) | v102(constB55) | (~(v105(constB55) | v106(constB55)))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9218,plain,
% 14.87/10.02 (v102(constB55)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9217, 9216, 9190])).
% 14.87/10.02 tff(9219,plain,
% 14.87/10.02 ((~(v104(constB56) <=> v102(constB55))) | v104(constB56) | (~v102(constB55))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9220,plain,
% 14.87/10.02 (v104(constB56)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9219, 9218, 9188])).
% 14.87/10.02 tff(9221,plain,
% 14.87/10.02 ((~((~v95(constB56)) | (~v104(constB56)))) | (~v95(constB56)) | (~v104(constB56))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9222,plain,
% 14.87/10.02 (~((~v95(constB56)) | (~v104(constB56)))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9221, 9220, 9184])).
% 14.87/10.02 tff(9223,plain,
% 14.87/10.02 ((~(v94(constB56) <=> (~((~v95(constB56)) | (~v104(constB56)))))) | v94(constB56) | ((~v95(constB56)) | (~v104(constB56)))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9224,plain,
% 14.87/10.02 (v94(constB56)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9223, 9222, 9156])).
% 14.87/10.02 tff(9225,plain,
% 14.87/10.02 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB56)) | (~(((~v84(constB56, 2)) <=> v123(constB56, 2)) | ((~v84(constB56, 1)) <=> v123(constB56, 1)) | ((~v84(constB56, 0)) <=> v123(constB56, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB56)) | (~(((~v84(constB56, 2)) <=> v123(constB56, 2)) | ((~v84(constB56, 1)) <=> v123(constB56, 1)) | ((~v84(constB56, 0)) <=> v123(constB56, 0)))))),
% 14.87/10.02 inference(rewrite,[status(thm)],[])).
% 14.87/10.02 tff(9226,plain,
% 14.87/10.02 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB56)) | (~(((~v84(constB56, 2)) <=> v123(constB56, 2)) | ((~v84(constB56, 1)) <=> v123(constB56, 1)) | ((~v84(constB56, 0)) <=> v123(constB56, 0)))))),
% 14.87/10.02 inference(quant_inst,[status(thm)],[])).
% 14.87/10.02 tff(9227,plain,
% 14.87/10.02 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB56)) | (~(((~v84(constB56, 2)) <=> v123(constB56, 2)) | ((~v84(constB56, 1)) <=> v123(constB56, 1)) | ((~v84(constB56, 0)) <=> v123(constB56, 0))))),
% 14.87/10.02 inference(modus_ponens,[status(thm)],[9226, 9225])).
% 14.87/10.02 tff(9228,plain,
% 14.87/10.02 ((~v94(constB56)) | (~(((~v84(constB56, 2)) <=> v123(constB56, 2)) | ((~v84(constB56, 1)) <=> v123(constB56, 1)) | ((~v84(constB56, 0)) <=> v123(constB56, 0))))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9227, 2517])).
% 14.87/10.02 tff(9229,plain,
% 14.87/10.02 (~(((~v84(constB56, 2)) <=> v123(constB56, 2)) | ((~v84(constB56, 1)) <=> v123(constB56, 1)) | ((~v84(constB56, 0)) <=> v123(constB56, 0)))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9228, 9224])).
% 14.87/10.02 tff(9230,plain,
% 14.87/10.02 ((((~v84(constB56, 2)) <=> v123(constB56, 2)) | ((~v84(constB56, 1)) <=> v123(constB56, 1)) | ((~v84(constB56, 0)) <=> v123(constB56, 0))) | (~((~v84(constB56, 2)) <=> v123(constB56, 2)))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9231,plain,
% 14.87/10.02 (~((~v84(constB56, 2)) <=> v123(constB56, 2))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9230, 9229])).
% 14.87/10.02 tff(9232,plain,
% 14.87/10.02 (((~v84(constB56, 2)) <=> v123(constB56, 2)) | (~v84(constB56, 2)) | v123(constB56, 2)),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9233,plain,
% 14.87/10.02 (~v84(constB56, 2)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9232, 9231, 9152])).
% 14.87/10.02 tff(9234,plain,
% 14.87/10.02 (((~v84(constB57, 2)) <=> v84(constB56, 2)) | (~v84(constB57, 2)) | v84(constB56, 2)),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9235,plain,
% 14.87/10.02 (~v84(constB57, 2)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9234, 9233, 7741])).
% 14.87/10.02 tff(9236,plain,
% 14.87/10.02 ((((~v84(constB57, 1)) <=> v84(constB56, 1)) | ((~v84(constB57, 2)) <=> v84(constB56, 2)) | ((~v84(constB57, 0)) <=> v84(constB56, 0))) | (~((~v84(constB57, 0)) <=> v84(constB56, 0)))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9237,plain,
% 14.87/10.02 (~((~v84(constB57, 0)) <=> v84(constB56, 0))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9236, 7739])).
% 14.87/10.02 tff(9238,plain,
% 14.87/10.02 ((((~v123(constB56, 2)) <=> v121(constB55, 2)) | ((~v123(constB56, 1)) <=> v121(constB55, 1)) | ((~v123(constB56, 0)) <=> v121(constB55, 0))) | (~((~v123(constB56, 0)) <=> v121(constB55, 0)))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9239,plain,
% 14.87/10.02 (~((~v123(constB56, 0)) <=> v121(constB55, 0))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9238, 7748])).
% 14.87/10.02 tff(9240,plain,
% 14.87/10.02 ((((~v121(constB55, 2)) <=> v124(constB55, 2)) | ((~v121(constB55, 0)) <=> v124(constB55, 0)) | ((~v121(constB55, 1)) <=> v124(constB55, 1))) | (~((~v121(constB55, 0)) <=> v124(constB55, 0)))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9241,plain,
% 14.87/10.02 (~((~v121(constB55, 0)) <=> v124(constB55, 0))),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9240, 7762])).
% 14.87/10.02 tff(9242,plain,
% 14.87/10.02 ((v124(constB55, 2) | v124(constB55, 1) | (~v124(constB55, 0))) | v124(constB55, 0)),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9243,plain,
% 14.87/10.02 (v124(constB55, 0)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9242, 9146])).
% 14.87/10.02 tff(9244,plain,
% 14.87/10.02 (((~v121(constB55, 0)) <=> v124(constB55, 0)) | v121(constB55, 0) | (~v124(constB55, 0))),
% 14.87/10.02 inference(tautology,[status(thm)],[])).
% 14.87/10.02 tff(9245,plain,
% 14.87/10.02 (v121(constB55, 0)),
% 14.87/10.02 inference(unit_resolution,[status(thm)],[9244, 9243, 9241])).
% 14.87/10.03 tff(9246,plain,
% 14.87/10.03 (((~v123(constB56, 0)) <=> v121(constB55, 0)) | v123(constB56, 0) | (~v121(constB55, 0))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9247,plain,
% 14.87/10.03 (v123(constB56, 0)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9246, 9245, 9239])).
% 14.87/10.03 tff(9248,plain,
% 14.87/10.03 ((((~v84(constB56, 2)) <=> v123(constB56, 2)) | ((~v84(constB56, 1)) <=> v123(constB56, 1)) | ((~v84(constB56, 0)) <=> v123(constB56, 0))) | (~((~v84(constB56, 0)) <=> v123(constB56, 0)))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9249,plain,
% 14.87/10.03 (~((~v84(constB56, 0)) <=> v123(constB56, 0))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9248, 9229])).
% 14.87/10.03 tff(9250,plain,
% 14.87/10.03 (((~v84(constB56, 0)) <=> v123(constB56, 0)) | v84(constB56, 0) | (~v123(constB56, 0))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9251,plain,
% 14.87/10.03 (v84(constB56, 0)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9250, 9249, 9247])).
% 14.87/10.03 tff(9252,plain,
% 14.87/10.03 (((~v84(constB57, 0)) <=> v84(constB56, 0)) | v84(constB57, 0) | (~v84(constB56, 0))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9253,plain,
% 14.87/10.03 (v84(constB57, 0)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9252, 9251, 9237])).
% 14.87/10.03 tff(9254,plain,
% 14.87/10.03 ((((~v84(constB57, 1)) <=> v84(constB56, 1)) | ((~v84(constB57, 2)) <=> v84(constB56, 2)) | ((~v84(constB57, 0)) <=> v84(constB56, 0))) | (~((~v84(constB57, 1)) <=> v84(constB56, 1)))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9255,plain,
% 14.87/10.03 (~((~v84(constB57, 1)) <=> v84(constB56, 1))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9254, 7739])).
% 14.87/10.03 tff(9256,plain,
% 14.87/10.03 ((((~v123(constB56, 2)) <=> v121(constB55, 2)) | ((~v123(constB56, 1)) <=> v121(constB55, 1)) | ((~v123(constB56, 0)) <=> v121(constB55, 0))) | (~((~v123(constB56, 1)) <=> v121(constB55, 1)))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9257,plain,
% 14.87/10.03 (~((~v123(constB56, 1)) <=> v121(constB55, 1))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9256, 7748])).
% 14.87/10.03 tff(9258,plain,
% 14.87/10.03 ((((~v121(constB55, 2)) <=> v124(constB55, 2)) | ((~v121(constB55, 0)) <=> v124(constB55, 0)) | ((~v121(constB55, 1)) <=> v124(constB55, 1))) | (~((~v121(constB55, 1)) <=> v124(constB55, 1)))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9259,plain,
% 14.87/10.03 (~((~v121(constB55, 1)) <=> v124(constB55, 1))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9258, 7762])).
% 14.87/10.03 tff(9260,plain,
% 14.87/10.03 ((v124(constB55, 2) | v124(constB55, 1) | (~v124(constB55, 0))) | (~v124(constB55, 1))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9261,plain,
% 14.87/10.03 (~v124(constB55, 1)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9260, 9146])).
% 14.87/10.03 tff(9262,plain,
% 14.87/10.03 (((~v121(constB55, 1)) <=> v124(constB55, 1)) | (~v121(constB55, 1)) | v124(constB55, 1)),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9263,plain,
% 14.87/10.03 (~v121(constB55, 1)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9262, 9261, 9259])).
% 14.87/10.03 tff(9264,plain,
% 14.87/10.03 (((~v123(constB56, 1)) <=> v121(constB55, 1)) | (~v123(constB56, 1)) | v121(constB55, 1)),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9265,plain,
% 14.87/10.03 (~v123(constB56, 1)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9264, 9263, 9257])).
% 14.87/10.03 tff(9266,plain,
% 14.87/10.03 ((((~v84(constB56, 2)) <=> v123(constB56, 2)) | ((~v84(constB56, 1)) <=> v123(constB56, 1)) | ((~v84(constB56, 0)) <=> v123(constB56, 0))) | (~((~v84(constB56, 1)) <=> v123(constB56, 1)))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9267,plain,
% 14.87/10.03 (~((~v84(constB56, 1)) <=> v123(constB56, 1))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9266, 9229])).
% 14.87/10.03 tff(9268,plain,
% 14.87/10.03 (((~v84(constB56, 1)) <=> v123(constB56, 1)) | (~v84(constB56, 1)) | v123(constB56, 1)),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9269,plain,
% 14.87/10.03 (~v84(constB56, 1)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9268, 9267, 9265])).
% 14.87/10.03 tff(9270,plain,
% 14.87/10.03 (((~v84(constB57, 1)) <=> v84(constB56, 1)) | (~v84(constB57, 1)) | v84(constB56, 1)),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9271,plain,
% 14.87/10.03 (~v84(constB57, 1)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9270, 9269, 9255])).
% 14.87/10.03 tff(9272,plain,
% 14.87/10.03 ((~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))) | v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9273,plain,
% 14.87/10.03 (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9272, 9271, 9253, 9235])).
% 14.87/10.03 tff(9274,plain,
% 14.87/10.03 ((~(v114(constB57) <=> (~(v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))))) | v114(constB57) | (v84(constB57, 1) | v84(constB57, 2) | (~v84(constB57, 0)))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9275,plain,
% 14.87/10.03 (v114(constB57)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9274, 9273, 7705])).
% 14.87/10.03 tff(9276,plain,
% 14.87/10.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB57)) | (~(v124(constB57, 2) | v124(constB57, 0) | (~v124(constB57, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB57)) | (~(v124(constB57, 2) | v124(constB57, 0) | (~v124(constB57, 1)))))),
% 14.87/10.03 inference(rewrite,[status(thm)],[])).
% 14.87/10.03 tff(9277,plain,
% 14.87/10.03 (((~v114(constB57)) | (~(v124(constB57, 0) | v124(constB57, 2) | (~v124(constB57, 1))))) <=> ((~v114(constB57)) | (~(v124(constB57, 2) | v124(constB57, 0) | (~v124(constB57, 1)))))),
% 14.87/10.03 inference(rewrite,[status(thm)],[])).
% 14.87/10.03 tff(9278,plain,
% 14.87/10.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB57)) | (~(v124(constB57, 0) | v124(constB57, 2) | (~v124(constB57, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB57)) | (~(v124(constB57, 2) | v124(constB57, 0) | (~v124(constB57, 1))))))),
% 14.87/10.03 inference(monotonicity,[status(thm)],[9277])).
% 14.87/10.03 tff(9279,plain,
% 14.87/10.03 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB57)) | (~(v124(constB57, 0) | v124(constB57, 2) | (~v124(constB57, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB57)) | (~(v124(constB57, 2) | v124(constB57, 0) | (~v124(constB57, 1)))))),
% 14.87/10.03 inference(transitivity,[status(thm)],[9278, 9276])).
% 14.87/10.03 tff(9280,plain,
% 14.87/10.03 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB57)) | (~(v124(constB57, 0) | v124(constB57, 2) | (~v124(constB57, 1)))))),
% 14.87/10.03 inference(quant_inst,[status(thm)],[])).
% 14.87/10.03 tff(9281,plain,
% 14.87/10.03 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB57)) | (~(v124(constB57, 2) | v124(constB57, 0) | (~v124(constB57, 1))))),
% 14.87/10.03 inference(modus_ponens,[status(thm)],[9280, 9279])).
% 14.87/10.03 tff(9282,plain,
% 14.87/10.03 ((~v114(constB57)) | (~(v124(constB57, 2) | v124(constB57, 0) | (~v124(constB57, 1))))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9281, 2964])).
% 14.87/10.03 tff(9283,plain,
% 14.87/10.03 (~(v124(constB57, 2) | v124(constB57, 0) | (~v124(constB57, 1)))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9282, 9275])).
% 14.87/10.03 tff(9284,plain,
% 14.87/10.03 ((v124(constB57, 2) | v124(constB57, 0) | (~v124(constB57, 1))) | (~v124(constB57, 2))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9285,plain,
% 14.87/10.03 (~v124(constB57, 2)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9284, 9283])).
% 14.87/10.03 tff(9286,plain,
% 14.87/10.03 (((~v121(constB57, 2)) <=> v124(constB57, 2)) | (~v121(constB57, 2)) | v124(constB57, 2)),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9287,plain,
% 14.87/10.03 (~v121(constB57, 2)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9286, 9285, 7703])).
% 14.87/10.03 tff(9288,plain,
% 14.87/10.03 (((~v123(constB58, 2)) <=> v121(constB57, 2)) | (~v123(constB58, 2)) | v121(constB57, 2)),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9289,plain,
% 14.87/10.03 (~v123(constB58, 2)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9288, 9287, 7689])).
% 14.87/10.03 tff(9290,plain,
% 14.87/10.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB57, constB58)) | (v94(constB58) <=> (~((~v95(constB58)) | (~v104(constB58))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB57, constB58)) | (v94(constB58) <=> (~((~v95(constB58)) | (~v104(constB58))))))),
% 14.87/10.03 inference(rewrite,[status(thm)],[])).
% 14.87/10.03 tff(9291,plain,
% 14.87/10.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB57, constB58)) | (v94(constB58) <=> (~((~v95(constB58)) | (~v104(constB58))))))),
% 14.87/10.03 inference(quant_inst,[status(thm)],[])).
% 14.87/10.03 tff(9292,plain,
% 14.87/10.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB57, constB58)) | (v94(constB58) <=> (~((~v95(constB58)) | (~v104(constB58)))))),
% 14.87/10.03 inference(modus_ponens,[status(thm)],[9291, 9290])).
% 14.87/10.03 tff(9293,plain,
% 14.87/10.03 (v94(constB58) <=> (~((~v95(constB58)) | (~v104(constB58))))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9292, 7683, 770])).
% 14.87/10.03 tff(9294,plain,
% 14.87/10.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58))))))),
% 14.87/10.03 inference(rewrite,[status(thm)],[])).
% 14.87/10.03 tff(9295,plain,
% 14.87/10.03 (((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v96(constB58)) | (~v1(constB58)))))) <=> ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58))))))),
% 14.87/10.03 inference(rewrite,[status(thm)],[])).
% 14.87/10.03 tff(9296,plain,
% 14.87/10.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v96(constB58)) | (~v1(constB58))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58)))))))),
% 14.87/10.03 inference(monotonicity,[status(thm)],[9295])).
% 14.87/10.03 tff(9297,plain,
% 14.87/10.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v96(constB58)) | (~v1(constB58))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58))))))),
% 14.87/10.03 inference(transitivity,[status(thm)],[9296, 9294])).
% 14.87/10.03 tff(9298,plain,
% 14.87/10.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v96(constB58)) | (~v1(constB58))))))),
% 14.87/10.03 inference(quant_inst,[status(thm)],[])).
% 14.87/10.03 tff(9299,plain,
% 14.87/10.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58)))))),
% 14.87/10.03 inference(modus_ponens,[status(thm)],[9298, 9297])).
% 14.87/10.03 tff(9300,plain,
% 14.87/10.03 (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58))))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9299, 7683, 790])).
% 14.87/10.03 tff(9301,plain,
% 14.87/10.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v96(constB58)) <=> v98(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB57, constB58)) | ((~v96(constB58)) <=> v98(constB58)))),
% 14.87/10.03 inference(rewrite,[status(thm)],[])).
% 14.87/10.03 tff(9302,plain,
% 14.87/10.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v96(constB58)) <=> v98(constB58)))),
% 14.87/10.03 inference(quant_inst,[status(thm)],[])).
% 14.87/10.03 tff(9303,plain,
% 14.87/10.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB57, constB58)) | ((~v96(constB58)) <=> v98(constB58))),
% 14.87/10.03 inference(modus_ponens,[status(thm)],[9302, 9301])).
% 14.87/10.03 tff(9304,plain,
% 14.87/10.03 ((~v96(constB58)) <=> v98(constB58)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9303, 7683, 2332])).
% 14.87/10.03 tff(9305,plain,
% 14.87/10.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v98(constB58) <=> v1(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v98(constB58) <=> v1(constB57)))),
% 14.87/10.03 inference(rewrite,[status(thm)],[])).
% 14.87/10.03 tff(9306,plain,
% 14.87/10.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v98(constB58) <=> v1(constB57)))),
% 14.87/10.03 inference(quant_inst,[status(thm)],[])).
% 14.87/10.03 tff(9307,plain,
% 14.87/10.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v98(constB58) <=> v1(constB57))),
% 14.87/10.03 inference(modus_ponens,[status(thm)],[9306, 9305])).
% 14.87/10.03 tff(9308,plain,
% 14.87/10.03 (v98(constB58) <=> v1(constB57)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9307, 7683, 2346])).
% 14.87/10.03 tff(9309,plain,
% 14.87/10.03 ((~(v98(constB58) <=> v1(constB57))) | (~v98(constB58)) | v1(constB57)),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9310,plain,
% 14.87/10.03 ((~(v98(constB58) <=> v1(constB57))) | (~v98(constB58))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9309, 7722])).
% 14.87/10.03 tff(9311,plain,
% 14.87/10.03 (~v98(constB58)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9310, 9308])).
% 14.87/10.03 tff(9312,plain,
% 14.87/10.03 ((~((~v96(constB58)) <=> v98(constB58))) | v96(constB58) | v98(constB58)),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9313,plain,
% 14.87/10.03 (v96(constB58)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9312, 9311, 9304])).
% 14.87/10.03 tff(9314,plain,
% 14.87/10.03 (v1(constB58) <=> v1(constB58)),
% 14.87/10.03 inference(rewrite,[status(thm)],[])).
% 14.87/10.03 tff(9315,axiom,(v1(constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_58')).
% 14.87/10.03 tff(9316,plain,
% 14.87/10.03 (v1(constB58)),
% 14.87/10.03 inference(modus_ponens,[status(thm)],[9315, 9314])).
% 14.87/10.03 tff(9317,plain,
% 14.87/10.03 ((~((~v1(constB58)) | (~v96(constB58)))) | (~v1(constB58)) | (~v96(constB58))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9318,plain,
% 14.87/10.03 ((~((~v1(constB58)) | (~v96(constB58)))) | (~v96(constB58))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9317, 9316])).
% 14.87/10.03 tff(9319,plain,
% 14.87/10.03 (~((~v1(constB58)) | (~v96(constB58)))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9318, 9313])).
% 14.87/10.03 tff(9320,plain,
% 14.87/10.03 ((~(v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58)))))) | v95(constB58) | ((~v1(constB58)) | (~v96(constB58)))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9321,plain,
% 14.87/10.03 (v95(constB58)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9320, 9319, 9300])).
% 14.87/10.03 tff(9322,plain,
% 14.87/10.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v102(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v102(constB57)))),
% 14.87/10.03 inference(rewrite,[status(thm)],[])).
% 14.87/10.03 tff(9323,plain,
% 14.87/10.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v102(constB57)))),
% 14.87/10.03 inference(quant_inst,[status(thm)],[])).
% 14.87/10.03 tff(9324,plain,
% 14.87/10.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v102(constB57))),
% 14.87/10.03 inference(modus_ponens,[status(thm)],[9323, 9322])).
% 14.87/10.03 tff(9325,plain,
% 14.87/10.03 (v104(constB58) <=> v102(constB57)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9324, 7683, 2373])).
% 14.87/10.03 tff(9326,plain,
% 14.87/10.03 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB57) <=> (v105(constB57) | v106(constB57)))),
% 14.87/10.03 inference(quant_inst,[status(thm)],[])).
% 14.87/10.03 tff(9327,plain,
% 14.87/10.03 (v102(constB57) <=> (v105(constB57) | v106(constB57))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9326, 2384])).
% 14.87/10.03 tff(9328,plain,
% 14.87/10.03 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB57) <=> (~((~v107(constB57)) | (~v120(constB57)))))),
% 14.87/10.03 inference(quant_inst,[status(thm)],[])).
% 14.87/10.03 tff(9329,plain,
% 14.87/10.03 (v106(constB57) <=> (~((~v107(constB57)) | (~v120(constB57))))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9328, 2396])).
% 14.87/10.03 tff(9330,plain,
% 14.87/10.03 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB57) <=> (v108(constB57) | v119(constB57)))),
% 14.87/10.03 inference(quant_inst,[status(thm)],[])).
% 14.87/10.03 tff(9331,plain,
% 14.87/10.03 (v107(constB57) <=> (v108(constB57) | v119(constB57))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9330, 2405])).
% 14.87/10.03 tff(9332,plain,
% 14.87/10.03 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB57) <=> (v109(constB57) | v118(constB57)))),
% 14.87/10.03 inference(quant_inst,[status(thm)],[])).
% 14.87/10.03 tff(9333,plain,
% 14.87/10.03 (v108(constB57) <=> (v109(constB57) | v118(constB57))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9332, 2414])).
% 14.87/10.03 tff(9334,plain,
% 14.87/10.03 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB57) <=> (v110(constB57) | v117(constB57)))),
% 14.87/10.03 inference(quant_inst,[status(thm)],[])).
% 14.87/10.03 tff(9335,plain,
% 14.87/10.03 (v109(constB57) <=> (v110(constB57) | v117(constB57))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9334, 2423])).
% 14.87/10.03 tff(9336,plain,
% 14.87/10.03 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB57) <=> (v111(constB57) | v116(constB57)))),
% 14.87/10.03 inference(quant_inst,[status(thm)],[])).
% 14.87/10.03 tff(9337,plain,
% 14.87/10.03 (v110(constB57) <=> (v111(constB57) | v116(constB57))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9336, 2432])).
% 14.87/10.03 tff(9338,plain,
% 14.87/10.03 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB57) <=> (v112(constB57) | v115(constB57)))),
% 14.87/10.03 inference(quant_inst,[status(thm)],[])).
% 14.87/10.03 tff(9339,plain,
% 14.87/10.03 (v111(constB57) <=> (v112(constB57) | v115(constB57))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9338, 2441])).
% 14.87/10.03 tff(9340,plain,
% 14.87/10.03 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB57) <=> (v113(constB57) | v114(constB57)))),
% 14.87/10.03 inference(quant_inst,[status(thm)],[])).
% 14.87/10.03 tff(9341,plain,
% 14.87/10.03 (v112(constB57) <=> (v113(constB57) | v114(constB57))),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9340, 2450])).
% 14.87/10.03 tff(9342,plain,
% 14.87/10.03 ((v113(constB57) | v114(constB57)) | (~v114(constB57))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9343,plain,
% 14.87/10.03 (v113(constB57) | v114(constB57)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9342, 9275])).
% 14.87/10.03 tff(9344,plain,
% 14.87/10.03 ((~(v112(constB57) <=> (v113(constB57) | v114(constB57)))) | v112(constB57) | (~(v113(constB57) | v114(constB57)))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9345,plain,
% 14.87/10.03 (v112(constB57)),
% 14.87/10.03 inference(unit_resolution,[status(thm)],[9344, 9343, 9341])).
% 14.87/10.03 tff(9346,plain,
% 14.87/10.03 ((v112(constB57) | v115(constB57)) | (~v112(constB57))),
% 14.87/10.03 inference(tautology,[status(thm)],[])).
% 14.87/10.03 tff(9347,plain,
% 14.87/10.03 (v112(constB57) | v115(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9346, 9345])).
% 14.87/10.04 tff(9348,plain,
% 14.87/10.04 ((~(v111(constB57) <=> (v112(constB57) | v115(constB57)))) | v111(constB57) | (~(v112(constB57) | v115(constB57)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9349,plain,
% 14.87/10.04 (v111(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9348, 9347, 9339])).
% 14.87/10.04 tff(9350,plain,
% 14.87/10.04 ((v111(constB57) | v116(constB57)) | (~v111(constB57))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9351,plain,
% 14.87/10.04 (v111(constB57) | v116(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9350, 9349])).
% 14.87/10.04 tff(9352,plain,
% 14.87/10.04 ((~(v110(constB57) <=> (v111(constB57) | v116(constB57)))) | v110(constB57) | (~(v111(constB57) | v116(constB57)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9353,plain,
% 14.87/10.04 (v110(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9352, 9351, 9337])).
% 14.87/10.04 tff(9354,plain,
% 14.87/10.04 ((v110(constB57) | v117(constB57)) | (~v110(constB57))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9355,plain,
% 14.87/10.04 (v110(constB57) | v117(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9354, 9353])).
% 14.87/10.04 tff(9356,plain,
% 14.87/10.04 ((~(v109(constB57) <=> (v110(constB57) | v117(constB57)))) | v109(constB57) | (~(v110(constB57) | v117(constB57)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9357,plain,
% 14.87/10.04 (v109(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9356, 9355, 9335])).
% 14.87/10.04 tff(9358,plain,
% 14.87/10.04 ((v109(constB57) | v118(constB57)) | (~v109(constB57))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9359,plain,
% 14.87/10.04 (v109(constB57) | v118(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9358, 9357])).
% 14.87/10.04 tff(9360,plain,
% 14.87/10.04 ((~(v108(constB57) <=> (v109(constB57) | v118(constB57)))) | v108(constB57) | (~(v109(constB57) | v118(constB57)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9361,plain,
% 14.87/10.04 (v108(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9360, 9359, 9333])).
% 14.87/10.04 tff(9362,plain,
% 14.87/10.04 ((v108(constB57) | v119(constB57)) | (~v108(constB57))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9363,plain,
% 14.87/10.04 (v108(constB57) | v119(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9362, 9361])).
% 14.87/10.04 tff(9364,plain,
% 14.87/10.04 ((~(v107(constB57) <=> (v108(constB57) | v119(constB57)))) | v107(constB57) | (~(v108(constB57) | v119(constB57)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9365,plain,
% 14.87/10.04 (v107(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9364, 9363, 9331])).
% 14.87/10.04 tff(9366,plain,
% 14.87/10.04 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB57)) <=> v105(constB57))),
% 14.87/10.04 inference(quant_inst,[status(thm)],[])).
% 14.87/10.04 tff(9367,plain,
% 14.87/10.04 ((~v120(constB57)) <=> v105(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9366, 2484])).
% 14.87/10.04 tff(9368,plain,
% 14.87/10.04 ((~((~v120(constB57)) <=> v105(constB57))) | v120(constB57) | v105(constB57)),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9369,plain,
% 14.87/10.04 ((~((~v120(constB57)) <=> v105(constB57))) | v120(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9368, 7696])).
% 14.87/10.04 tff(9370,plain,
% 14.87/10.04 (v120(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9369, 9367])).
% 14.87/10.04 tff(9371,plain,
% 14.87/10.04 ((~((~v107(constB57)) | (~v120(constB57)))) | (~v107(constB57)) | (~v120(constB57))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9372,plain,
% 14.87/10.04 ((~((~v107(constB57)) | (~v120(constB57)))) | (~v107(constB57))),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9371, 9370])).
% 14.87/10.04 tff(9373,plain,
% 14.87/10.04 (~((~v107(constB57)) | (~v120(constB57)))),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9372, 9365])).
% 14.87/10.04 tff(9374,plain,
% 14.87/10.04 ((~(v106(constB57) <=> (~((~v107(constB57)) | (~v120(constB57)))))) | v106(constB57) | ((~v107(constB57)) | (~v120(constB57)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9375,plain,
% 14.87/10.04 (v106(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9374, 9373, 9329])).
% 14.87/10.04 tff(9376,plain,
% 14.87/10.04 ((v105(constB57) | v106(constB57)) | (~v106(constB57))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9377,plain,
% 14.87/10.04 (v105(constB57) | v106(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9376, 9375])).
% 14.87/10.04 tff(9378,plain,
% 14.87/10.04 ((~(v102(constB57) <=> (v105(constB57) | v106(constB57)))) | v102(constB57) | (~(v105(constB57) | v106(constB57)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9379,plain,
% 14.87/10.04 (v102(constB57)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9378, 9377, 9327])).
% 14.87/10.04 tff(9380,plain,
% 14.87/10.04 ((~(v104(constB58) <=> v102(constB57))) | v104(constB58) | (~v102(constB57))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9381,plain,
% 14.87/10.04 (v104(constB58)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9380, 9379, 9325])).
% 14.87/10.04 tff(9382,plain,
% 14.87/10.04 ((~((~v95(constB58)) | (~v104(constB58)))) | (~v95(constB58)) | (~v104(constB58))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9383,plain,
% 14.87/10.04 (~((~v95(constB58)) | (~v104(constB58)))),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9382, 9381, 9321])).
% 14.87/10.04 tff(9384,plain,
% 14.87/10.04 ((~(v94(constB58) <=> (~((~v95(constB58)) | (~v104(constB58)))))) | v94(constB58) | ((~v95(constB58)) | (~v104(constB58)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9385,plain,
% 14.87/10.04 (v94(constB58)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9384, 9383, 9293])).
% 14.87/10.04 tff(9386,plain,
% 14.87/10.04 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB58)) | (~(((~v84(constB58, 0)) <=> v123(constB58, 0)) | ((~v84(constB58, 2)) <=> v123(constB58, 2)) | ((~v84(constB58, 1)) <=> v123(constB58, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB58)) | (~(((~v84(constB58, 0)) <=> v123(constB58, 0)) | ((~v84(constB58, 2)) <=> v123(constB58, 2)) | ((~v84(constB58, 1)) <=> v123(constB58, 1)))))),
% 14.87/10.04 inference(rewrite,[status(thm)],[])).
% 14.87/10.04 tff(9387,plain,
% 14.87/10.04 (((~v94(constB58)) | (~(((~v84(constB58, 2)) <=> v123(constB58, 2)) | ((~v84(constB58, 1)) <=> v123(constB58, 1)) | ((~v84(constB58, 0)) <=> v123(constB58, 0))))) <=> ((~v94(constB58)) | (~(((~v84(constB58, 0)) <=> v123(constB58, 0)) | ((~v84(constB58, 2)) <=> v123(constB58, 2)) | ((~v84(constB58, 1)) <=> v123(constB58, 1)))))),
% 14.87/10.04 inference(rewrite,[status(thm)],[])).
% 14.87/10.04 tff(9388,plain,
% 14.87/10.04 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB58)) | (~(((~v84(constB58, 2)) <=> v123(constB58, 2)) | ((~v84(constB58, 1)) <=> v123(constB58, 1)) | ((~v84(constB58, 0)) <=> v123(constB58, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB58)) | (~(((~v84(constB58, 0)) <=> v123(constB58, 0)) | ((~v84(constB58, 2)) <=> v123(constB58, 2)) | ((~v84(constB58, 1)) <=> v123(constB58, 1))))))),
% 14.87/10.04 inference(monotonicity,[status(thm)],[9387])).
% 14.87/10.04 tff(9389,plain,
% 14.87/10.04 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB58)) | (~(((~v84(constB58, 2)) <=> v123(constB58, 2)) | ((~v84(constB58, 1)) <=> v123(constB58, 1)) | ((~v84(constB58, 0)) <=> v123(constB58, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB58)) | (~(((~v84(constB58, 0)) <=> v123(constB58, 0)) | ((~v84(constB58, 2)) <=> v123(constB58, 2)) | ((~v84(constB58, 1)) <=> v123(constB58, 1)))))),
% 14.87/10.04 inference(transitivity,[status(thm)],[9388, 9386])).
% 14.87/10.04 tff(9390,plain,
% 14.87/10.04 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB58)) | (~(((~v84(constB58, 2)) <=> v123(constB58, 2)) | ((~v84(constB58, 1)) <=> v123(constB58, 1)) | ((~v84(constB58, 0)) <=> v123(constB58, 0)))))),
% 14.87/10.04 inference(quant_inst,[status(thm)],[])).
% 14.87/10.04 tff(9391,plain,
% 14.87/10.04 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB58)) | (~(((~v84(constB58, 0)) <=> v123(constB58, 0)) | ((~v84(constB58, 2)) <=> v123(constB58, 2)) | ((~v84(constB58, 1)) <=> v123(constB58, 1))))),
% 14.87/10.04 inference(modus_ponens,[status(thm)],[9390, 9389])).
% 14.87/10.04 tff(9392,plain,
% 14.87/10.04 ((~v94(constB58)) | (~(((~v84(constB58, 0)) <=> v123(constB58, 0)) | ((~v84(constB58, 2)) <=> v123(constB58, 2)) | ((~v84(constB58, 1)) <=> v123(constB58, 1))))),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9391, 2517])).
% 14.87/10.04 tff(9393,plain,
% 14.87/10.04 (~(((~v84(constB58, 0)) <=> v123(constB58, 0)) | ((~v84(constB58, 2)) <=> v123(constB58, 2)) | ((~v84(constB58, 1)) <=> v123(constB58, 1)))),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9392, 9385])).
% 14.87/10.04 tff(9394,plain,
% 14.87/10.04 ((((~v84(constB58, 0)) <=> v123(constB58, 0)) | ((~v84(constB58, 2)) <=> v123(constB58, 2)) | ((~v84(constB58, 1)) <=> v123(constB58, 1))) | (~((~v84(constB58, 2)) <=> v123(constB58, 2)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9395,plain,
% 14.87/10.04 (~((~v84(constB58, 2)) <=> v123(constB58, 2))),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9394, 9393])).
% 14.87/10.04 tff(9396,plain,
% 14.87/10.04 (((~v84(constB58, 2)) <=> v123(constB58, 2)) | (~v84(constB58, 2)) | v123(constB58, 2)),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9397,plain,
% 14.87/10.04 (~v84(constB58, 2)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9396, 9395, 9289])).
% 14.87/10.04 tff(9398,plain,
% 14.87/10.04 (((~v84(constB59, 2)) <=> v84(constB58, 2)) | (~v84(constB59, 2)) | v84(constB58, 2)),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9399,plain,
% 14.87/10.04 (~v84(constB59, 2)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9398, 9397, 7680])).
% 14.87/10.04 tff(9400,plain,
% 14.87/10.04 ((((~v84(constB59, 1)) <=> v84(constB58, 1)) | ((~v84(constB59, 2)) <=> v84(constB58, 2)) | ((~v84(constB59, 0)) <=> v84(constB58, 0))) | (~((~v84(constB59, 0)) <=> v84(constB58, 0)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9401,plain,
% 14.87/10.04 (~((~v84(constB59, 0)) <=> v84(constB58, 0))),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9400, 7678])).
% 14.87/10.04 tff(9402,plain,
% 14.87/10.04 ((((~v123(constB58, 2)) <=> v121(constB57, 2)) | ((~v123(constB58, 1)) <=> v121(constB57, 1)) | ((~v123(constB58, 0)) <=> v121(constB57, 0))) | (~((~v123(constB58, 0)) <=> v121(constB57, 0)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9403,plain,
% 14.87/10.04 (~((~v123(constB58, 0)) <=> v121(constB57, 0))),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9402, 7687])).
% 14.87/10.04 tff(9404,plain,
% 14.87/10.04 ((((~v121(constB57, 2)) <=> v124(constB57, 2)) | ((~v121(constB57, 0)) <=> v124(constB57, 0)) | ((~v121(constB57, 1)) <=> v124(constB57, 1))) | (~((~v121(constB57, 0)) <=> v124(constB57, 0)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9405,plain,
% 14.87/10.04 (~((~v121(constB57, 0)) <=> v124(constB57, 0))),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9404, 7701])).
% 14.87/10.04 tff(9406,plain,
% 14.87/10.04 ((v124(constB57, 2) | v124(constB57, 0) | (~v124(constB57, 1))) | (~v124(constB57, 0))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9407,plain,
% 14.87/10.04 (~v124(constB57, 0)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9406, 9283])).
% 14.87/10.04 tff(9408,plain,
% 14.87/10.04 (((~v121(constB57, 0)) <=> v124(constB57, 0)) | (~v121(constB57, 0)) | v124(constB57, 0)),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9409,plain,
% 14.87/10.04 (~v121(constB57, 0)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9408, 9407, 9405])).
% 14.87/10.04 tff(9410,plain,
% 14.87/10.04 (((~v123(constB58, 0)) <=> v121(constB57, 0)) | (~v123(constB58, 0)) | v121(constB57, 0)),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9411,plain,
% 14.87/10.04 (~v123(constB58, 0)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9410, 9409, 9403])).
% 14.87/10.04 tff(9412,plain,
% 14.87/10.04 ((((~v84(constB58, 0)) <=> v123(constB58, 0)) | ((~v84(constB58, 2)) <=> v123(constB58, 2)) | ((~v84(constB58, 1)) <=> v123(constB58, 1))) | (~((~v84(constB58, 0)) <=> v123(constB58, 0)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9413,plain,
% 14.87/10.04 (~((~v84(constB58, 0)) <=> v123(constB58, 0))),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9412, 9393])).
% 14.87/10.04 tff(9414,plain,
% 14.87/10.04 (((~v84(constB58, 0)) <=> v123(constB58, 0)) | (~v84(constB58, 0)) | v123(constB58, 0)),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9415,plain,
% 14.87/10.04 (~v84(constB58, 0)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9414, 9413, 9411])).
% 14.87/10.04 tff(9416,plain,
% 14.87/10.04 (((~v84(constB59, 0)) <=> v84(constB58, 0)) | (~v84(constB59, 0)) | v84(constB58, 0)),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9417,plain,
% 14.87/10.04 (~v84(constB59, 0)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9416, 9415, 9401])).
% 14.87/10.04 tff(9418,plain,
% 14.87/10.04 ((((~v84(constB59, 1)) <=> v84(constB58, 1)) | ((~v84(constB59, 2)) <=> v84(constB58, 2)) | ((~v84(constB59, 0)) <=> v84(constB58, 0))) | (~((~v84(constB59, 1)) <=> v84(constB58, 1)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9419,plain,
% 14.87/10.04 (~((~v84(constB59, 1)) <=> v84(constB58, 1))),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9418, 7678])).
% 14.87/10.04 tff(9420,plain,
% 14.87/10.04 ((((~v123(constB58, 2)) <=> v121(constB57, 2)) | ((~v123(constB58, 1)) <=> v121(constB57, 1)) | ((~v123(constB58, 0)) <=> v121(constB57, 0))) | (~((~v123(constB58, 1)) <=> v121(constB57, 1)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9421,plain,
% 14.87/10.04 (~((~v123(constB58, 1)) <=> v121(constB57, 1))),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9420, 7687])).
% 14.87/10.04 tff(9422,plain,
% 14.87/10.04 ((((~v121(constB57, 2)) <=> v124(constB57, 2)) | ((~v121(constB57, 0)) <=> v124(constB57, 0)) | ((~v121(constB57, 1)) <=> v124(constB57, 1))) | (~((~v121(constB57, 1)) <=> v124(constB57, 1)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9423,plain,
% 14.87/10.04 (~((~v121(constB57, 1)) <=> v124(constB57, 1))),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9422, 7701])).
% 14.87/10.04 tff(9424,plain,
% 14.87/10.04 ((v124(constB57, 2) | v124(constB57, 0) | (~v124(constB57, 1))) | v124(constB57, 1)),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9425,plain,
% 14.87/10.04 (v124(constB57, 1)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9424, 9283])).
% 14.87/10.04 tff(9426,plain,
% 14.87/10.04 (((~v121(constB57, 1)) <=> v124(constB57, 1)) | v121(constB57, 1) | (~v124(constB57, 1))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9427,plain,
% 14.87/10.04 (v121(constB57, 1)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9426, 9425, 9423])).
% 14.87/10.04 tff(9428,plain,
% 14.87/10.04 (((~v123(constB58, 1)) <=> v121(constB57, 1)) | v123(constB58, 1) | (~v121(constB57, 1))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9429,plain,
% 14.87/10.04 (v123(constB58, 1)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9428, 9427, 9421])).
% 14.87/10.04 tff(9430,plain,
% 14.87/10.04 ((((~v84(constB58, 0)) <=> v123(constB58, 0)) | ((~v84(constB58, 2)) <=> v123(constB58, 2)) | ((~v84(constB58, 1)) <=> v123(constB58, 1))) | (~((~v84(constB58, 1)) <=> v123(constB58, 1)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9431,plain,
% 14.87/10.04 (~((~v84(constB58, 1)) <=> v123(constB58, 1))),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9430, 9393])).
% 14.87/10.04 tff(9432,plain,
% 14.87/10.04 (((~v84(constB58, 1)) <=> v123(constB58, 1)) | v84(constB58, 1) | (~v123(constB58, 1))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9433,plain,
% 14.87/10.04 (v84(constB58, 1)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9432, 9431, 9429])).
% 14.87/10.04 tff(9434,plain,
% 14.87/10.04 (((~v84(constB59, 1)) <=> v84(constB58, 1)) | v84(constB59, 1) | (~v84(constB58, 1))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9435,plain,
% 14.87/10.04 (v84(constB59, 1)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9434, 9433, 9419])).
% 14.87/10.04 tff(9436,plain,
% 14.87/10.04 ((~(v84(constB59, 2) | v84(constB59, 0) | (~v84(constB59, 1)))) | v84(constB59, 2) | v84(constB59, 0) | (~v84(constB59, 1))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9437,plain,
% 14.87/10.04 (~(v84(constB59, 2) | v84(constB59, 0) | (~v84(constB59, 1)))),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9436, 9435, 9417, 9399])).
% 14.87/10.04 tff(9438,plain,
% 14.87/10.04 ((~(v115(constB59) <=> (~(v84(constB59, 2) | v84(constB59, 0) | (~v84(constB59, 1)))))) | v115(constB59) | (v84(constB59, 2) | v84(constB59, 0) | (~v84(constB59, 1)))),
% 14.87/10.04 inference(tautology,[status(thm)],[])).
% 14.87/10.04 tff(9439,plain,
% 14.87/10.04 (v115(constB59)),
% 14.87/10.04 inference(unit_resolution,[status(thm)],[9438, 9437, 7644])).
% 14.87/10.05 tff(9440,plain,
% 14.87/10.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB59)) | (~(v124(constB59, 2) | (~v124(constB59, 0)) | (~v124(constB59, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB59)) | (~(v124(constB59, 2) | (~v124(constB59, 0)) | (~v124(constB59, 1)))))),
% 14.87/10.05 inference(rewrite,[status(thm)],[])).
% 14.87/10.05 tff(9441,plain,
% 14.87/10.05 (((~v115(constB59)) | (~(v124(constB59, 2) | (~v124(constB59, 1)) | (~v124(constB59, 0))))) <=> ((~v115(constB59)) | (~(v124(constB59, 2) | (~v124(constB59, 0)) | (~v124(constB59, 1)))))),
% 14.87/10.05 inference(rewrite,[status(thm)],[])).
% 14.87/10.05 tff(9442,plain,
% 14.87/10.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB59)) | (~(v124(constB59, 2) | (~v124(constB59, 1)) | (~v124(constB59, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB59)) | (~(v124(constB59, 2) | (~v124(constB59, 0)) | (~v124(constB59, 1))))))),
% 14.87/10.05 inference(monotonicity,[status(thm)],[9441])).
% 14.87/10.05 tff(9443,plain,
% 14.87/10.05 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB59)) | (~(v124(constB59, 2) | (~v124(constB59, 1)) | (~v124(constB59, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB59)) | (~(v124(constB59, 2) | (~v124(constB59, 0)) | (~v124(constB59, 1)))))),
% 14.87/10.05 inference(transitivity,[status(thm)],[9442, 9440])).
% 14.87/10.05 tff(9444,plain,
% 14.87/10.05 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB59)) | (~(v124(constB59, 2) | (~v124(constB59, 1)) | (~v124(constB59, 0)))))),
% 14.87/10.05 inference(quant_inst,[status(thm)],[])).
% 14.87/10.05 tff(9445,plain,
% 14.87/10.05 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB59)) | (~(v124(constB59, 2) | (~v124(constB59, 0)) | (~v124(constB59, 1))))),
% 14.87/10.05 inference(modus_ponens,[status(thm)],[9444, 9443])).
% 14.87/10.05 tff(9446,plain,
% 14.87/10.05 ((~v115(constB59)) | (~(v124(constB59, 2) | (~v124(constB59, 0)) | (~v124(constB59, 1))))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9445, 3138])).
% 14.87/10.05 tff(9447,plain,
% 14.87/10.05 (~(v124(constB59, 2) | (~v124(constB59, 0)) | (~v124(constB59, 1)))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9446, 9439])).
% 14.87/10.05 tff(9448,plain,
% 14.87/10.05 ((v124(constB59, 2) | (~v124(constB59, 0)) | (~v124(constB59, 1))) | (~v124(constB59, 2))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9449,plain,
% 14.87/10.05 (~v124(constB59, 2)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9448, 9447])).
% 14.87/10.05 tff(9450,plain,
% 14.87/10.05 (((~v121(constB59, 2)) <=> v124(constB59, 2)) | (~v121(constB59, 2)) | v124(constB59, 2)),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9451,plain,
% 14.87/10.05 (~v121(constB59, 2)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9450, 9449, 7637])).
% 14.87/10.05 tff(9452,plain,
% 14.87/10.05 (((~v123(constB60, 2)) <=> v121(constB59, 2)) | (~v123(constB60, 2)) | v121(constB59, 2)),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9453,plain,
% 14.87/10.05 (~v123(constB60, 2)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9452, 9451, 7623])).
% 14.87/10.05 tff(9454,plain,
% 14.87/10.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB59, constB60)) | (v94(constB60) <=> (~((~v95(constB60)) | (~v104(constB60))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB59, constB60)) | (v94(constB60) <=> (~((~v95(constB60)) | (~v104(constB60))))))),
% 14.87/10.05 inference(rewrite,[status(thm)],[])).
% 14.87/10.05 tff(9455,plain,
% 14.87/10.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB59, constB60)) | (v94(constB60) <=> (~((~v95(constB60)) | (~v104(constB60))))))),
% 14.87/10.05 inference(quant_inst,[status(thm)],[])).
% 14.87/10.05 tff(9456,plain,
% 14.87/10.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB59, constB60)) | (v94(constB60) <=> (~((~v95(constB60)) | (~v104(constB60)))))),
% 14.87/10.05 inference(modus_ponens,[status(thm)],[9455, 9454])).
% 14.87/10.05 tff(9457,plain,
% 14.87/10.05 (v94(constB60) <=> (~((~v95(constB60)) | (~v104(constB60))))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9456, 7617, 770])).
% 14.87/10.05 tff(9458,plain,
% 14.87/10.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60))))))),
% 14.87/10.05 inference(rewrite,[status(thm)],[])).
% 14.87/10.05 tff(9459,plain,
% 14.87/10.05 (((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v96(constB60)) | (~v1(constB60)))))) <=> ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60))))))),
% 14.87/10.05 inference(rewrite,[status(thm)],[])).
% 14.87/10.05 tff(9460,plain,
% 14.87/10.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v96(constB60)) | (~v1(constB60))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60)))))))),
% 14.87/10.05 inference(monotonicity,[status(thm)],[9459])).
% 14.87/10.05 tff(9461,plain,
% 14.87/10.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v96(constB60)) | (~v1(constB60))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60))))))),
% 14.87/10.05 inference(transitivity,[status(thm)],[9460, 9458])).
% 14.87/10.05 tff(9462,plain,
% 14.87/10.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v96(constB60)) | (~v1(constB60))))))),
% 14.87/10.05 inference(quant_inst,[status(thm)],[])).
% 14.87/10.05 tff(9463,plain,
% 14.87/10.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60)))))),
% 14.87/10.05 inference(modus_ponens,[status(thm)],[9462, 9461])).
% 14.87/10.05 tff(9464,plain,
% 14.87/10.05 (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60))))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9463, 7617, 790])).
% 14.87/10.05 tff(9465,plain,
% 14.87/10.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v96(constB60)) <=> v98(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB59, constB60)) | ((~v96(constB60)) <=> v98(constB60)))),
% 14.87/10.05 inference(rewrite,[status(thm)],[])).
% 14.87/10.05 tff(9466,plain,
% 14.87/10.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v96(constB60)) <=> v98(constB60)))),
% 14.87/10.05 inference(quant_inst,[status(thm)],[])).
% 14.87/10.05 tff(9467,plain,
% 14.87/10.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB59, constB60)) | ((~v96(constB60)) <=> v98(constB60))),
% 14.87/10.05 inference(modus_ponens,[status(thm)],[9466, 9465])).
% 14.87/10.05 tff(9468,plain,
% 14.87/10.05 ((~v96(constB60)) <=> v98(constB60)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9467, 7617, 2332])).
% 14.87/10.05 tff(9469,plain,
% 14.87/10.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v98(constB60) <=> v1(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v98(constB60) <=> v1(constB59)))),
% 14.87/10.05 inference(rewrite,[status(thm)],[])).
% 14.87/10.05 tff(9470,plain,
% 14.87/10.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v98(constB60) <=> v1(constB59)))),
% 14.87/10.05 inference(quant_inst,[status(thm)],[])).
% 14.87/10.05 tff(9471,plain,
% 14.87/10.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v98(constB60) <=> v1(constB59))),
% 14.87/10.05 inference(modus_ponens,[status(thm)],[9470, 9469])).
% 14.87/10.05 tff(9472,plain,
% 14.87/10.05 (v98(constB60) <=> v1(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9471, 7617, 2346])).
% 14.87/10.05 tff(9473,plain,
% 14.87/10.05 ((~(v98(constB60) <=> v1(constB59))) | (~v98(constB60)) | v1(constB59)),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9474,plain,
% 14.87/10.05 ((~(v98(constB60) <=> v1(constB59))) | (~v98(constB60))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9473, 7661])).
% 14.87/10.05 tff(9475,plain,
% 14.87/10.05 (~v98(constB60)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9474, 9472])).
% 14.87/10.05 tff(9476,plain,
% 14.87/10.05 ((~((~v96(constB60)) <=> v98(constB60))) | v96(constB60) | v98(constB60)),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9477,plain,
% 14.87/10.05 (v96(constB60)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9476, 9475, 9468])).
% 14.87/10.05 tff(9478,plain,
% 14.87/10.05 (v1(constB60) <=> v1(constB60)),
% 14.87/10.05 inference(rewrite,[status(thm)],[])).
% 14.87/10.05 tff(9479,axiom,(v1(constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_60')).
% 14.87/10.05 tff(9480,plain,
% 14.87/10.05 (v1(constB60)),
% 14.87/10.05 inference(modus_ponens,[status(thm)],[9479, 9478])).
% 14.87/10.05 tff(9481,plain,
% 14.87/10.05 ((~((~v1(constB60)) | (~v96(constB60)))) | (~v1(constB60)) | (~v96(constB60))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9482,plain,
% 14.87/10.05 ((~((~v1(constB60)) | (~v96(constB60)))) | (~v96(constB60))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9481, 9480])).
% 14.87/10.05 tff(9483,plain,
% 14.87/10.05 (~((~v1(constB60)) | (~v96(constB60)))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9482, 9477])).
% 14.87/10.05 tff(9484,plain,
% 14.87/10.05 ((~(v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60)))))) | v95(constB60) | ((~v1(constB60)) | (~v96(constB60)))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9485,plain,
% 14.87/10.05 (v95(constB60)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9484, 9483, 9464])).
% 14.87/10.05 tff(9486,plain,
% 14.87/10.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v102(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v102(constB59)))),
% 14.87/10.05 inference(rewrite,[status(thm)],[])).
% 14.87/10.05 tff(9487,plain,
% 14.87/10.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v102(constB59)))),
% 14.87/10.05 inference(quant_inst,[status(thm)],[])).
% 14.87/10.05 tff(9488,plain,
% 14.87/10.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v102(constB59))),
% 14.87/10.05 inference(modus_ponens,[status(thm)],[9487, 9486])).
% 14.87/10.05 tff(9489,plain,
% 14.87/10.05 (v104(constB60) <=> v102(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9488, 7617, 2373])).
% 14.87/10.05 tff(9490,plain,
% 14.87/10.05 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB59) <=> (v105(constB59) | v106(constB59)))),
% 14.87/10.05 inference(quant_inst,[status(thm)],[])).
% 14.87/10.05 tff(9491,plain,
% 14.87/10.05 (v102(constB59) <=> (v105(constB59) | v106(constB59))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9490, 2384])).
% 14.87/10.05 tff(9492,plain,
% 14.87/10.05 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB59) <=> (~((~v107(constB59)) | (~v120(constB59)))))),
% 14.87/10.05 inference(quant_inst,[status(thm)],[])).
% 14.87/10.05 tff(9493,plain,
% 14.87/10.05 (v106(constB59) <=> (~((~v107(constB59)) | (~v120(constB59))))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9492, 2396])).
% 14.87/10.05 tff(9494,plain,
% 14.87/10.05 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB59) <=> (v108(constB59) | v119(constB59)))),
% 14.87/10.05 inference(quant_inst,[status(thm)],[])).
% 14.87/10.05 tff(9495,plain,
% 14.87/10.05 (v107(constB59) <=> (v108(constB59) | v119(constB59))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9494, 2405])).
% 14.87/10.05 tff(9496,plain,
% 14.87/10.05 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB59) <=> (v109(constB59) | v118(constB59)))),
% 14.87/10.05 inference(quant_inst,[status(thm)],[])).
% 14.87/10.05 tff(9497,plain,
% 14.87/10.05 (v108(constB59) <=> (v109(constB59) | v118(constB59))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9496, 2414])).
% 14.87/10.05 tff(9498,plain,
% 14.87/10.05 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB59) <=> (v110(constB59) | v117(constB59)))),
% 14.87/10.05 inference(quant_inst,[status(thm)],[])).
% 14.87/10.05 tff(9499,plain,
% 14.87/10.05 (v109(constB59) <=> (v110(constB59) | v117(constB59))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9498, 2423])).
% 14.87/10.05 tff(9500,plain,
% 14.87/10.05 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB59) <=> (v111(constB59) | v116(constB59)))),
% 14.87/10.05 inference(quant_inst,[status(thm)],[])).
% 14.87/10.05 tff(9501,plain,
% 14.87/10.05 (v110(constB59) <=> (v111(constB59) | v116(constB59))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9500, 2432])).
% 14.87/10.05 tff(9502,plain,
% 14.87/10.05 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB59) <=> (v112(constB59) | v115(constB59)))),
% 14.87/10.05 inference(quant_inst,[status(thm)],[])).
% 14.87/10.05 tff(9503,plain,
% 14.87/10.05 (v111(constB59) <=> (v112(constB59) | v115(constB59))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9502, 2441])).
% 14.87/10.05 tff(9504,plain,
% 14.87/10.05 ((v112(constB59) | v115(constB59)) | (~v115(constB59))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9505,plain,
% 14.87/10.05 (v112(constB59) | v115(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9504, 9439])).
% 14.87/10.05 tff(9506,plain,
% 14.87/10.05 ((~(v111(constB59) <=> (v112(constB59) | v115(constB59)))) | v111(constB59) | (~(v112(constB59) | v115(constB59)))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9507,plain,
% 14.87/10.05 (v111(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9506, 9505, 9503])).
% 14.87/10.05 tff(9508,plain,
% 14.87/10.05 ((v111(constB59) | v116(constB59)) | (~v111(constB59))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9509,plain,
% 14.87/10.05 (v111(constB59) | v116(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9508, 9507])).
% 14.87/10.05 tff(9510,plain,
% 14.87/10.05 ((~(v110(constB59) <=> (v111(constB59) | v116(constB59)))) | v110(constB59) | (~(v111(constB59) | v116(constB59)))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9511,plain,
% 14.87/10.05 (v110(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9510, 9509, 9501])).
% 14.87/10.05 tff(9512,plain,
% 14.87/10.05 ((v110(constB59) | v117(constB59)) | (~v110(constB59))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9513,plain,
% 14.87/10.05 (v110(constB59) | v117(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9512, 9511])).
% 14.87/10.05 tff(9514,plain,
% 14.87/10.05 ((~(v109(constB59) <=> (v110(constB59) | v117(constB59)))) | v109(constB59) | (~(v110(constB59) | v117(constB59)))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9515,plain,
% 14.87/10.05 (v109(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9514, 9513, 9499])).
% 14.87/10.05 tff(9516,plain,
% 14.87/10.05 ((v109(constB59) | v118(constB59)) | (~v109(constB59))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9517,plain,
% 14.87/10.05 (v109(constB59) | v118(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9516, 9515])).
% 14.87/10.05 tff(9518,plain,
% 14.87/10.05 ((~(v108(constB59) <=> (v109(constB59) | v118(constB59)))) | v108(constB59) | (~(v109(constB59) | v118(constB59)))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9519,plain,
% 14.87/10.05 (v108(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9518, 9517, 9497])).
% 14.87/10.05 tff(9520,plain,
% 14.87/10.05 ((v108(constB59) | v119(constB59)) | (~v108(constB59))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9521,plain,
% 14.87/10.05 (v108(constB59) | v119(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9520, 9519])).
% 14.87/10.05 tff(9522,plain,
% 14.87/10.05 ((~(v107(constB59) <=> (v108(constB59) | v119(constB59)))) | v107(constB59) | (~(v108(constB59) | v119(constB59)))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9523,plain,
% 14.87/10.05 (v107(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9522, 9521, 9495])).
% 14.87/10.05 tff(9524,plain,
% 14.87/10.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB59)) <=> v105(constB59))),
% 14.87/10.05 inference(quant_inst,[status(thm)],[])).
% 14.87/10.05 tff(9525,plain,
% 14.87/10.05 ((~v120(constB59)) <=> v105(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9524, 2484])).
% 14.87/10.05 tff(9526,plain,
% 14.87/10.05 ((~((~v120(constB59)) <=> v105(constB59))) | v120(constB59) | v105(constB59)),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9527,plain,
% 14.87/10.05 ((~((~v120(constB59)) <=> v105(constB59))) | v120(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9526, 7630])).
% 14.87/10.05 tff(9528,plain,
% 14.87/10.05 (v120(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9527, 9525])).
% 14.87/10.05 tff(9529,plain,
% 14.87/10.05 ((~((~v107(constB59)) | (~v120(constB59)))) | (~v107(constB59)) | (~v120(constB59))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9530,plain,
% 14.87/10.05 ((~((~v107(constB59)) | (~v120(constB59)))) | (~v107(constB59))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9529, 9528])).
% 14.87/10.05 tff(9531,plain,
% 14.87/10.05 (~((~v107(constB59)) | (~v120(constB59)))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9530, 9523])).
% 14.87/10.05 tff(9532,plain,
% 14.87/10.05 ((~(v106(constB59) <=> (~((~v107(constB59)) | (~v120(constB59)))))) | v106(constB59) | ((~v107(constB59)) | (~v120(constB59)))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9533,plain,
% 14.87/10.05 (v106(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9532, 9531, 9493])).
% 14.87/10.05 tff(9534,plain,
% 14.87/10.05 ((v105(constB59) | v106(constB59)) | (~v106(constB59))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9535,plain,
% 14.87/10.05 (v105(constB59) | v106(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9534, 9533])).
% 14.87/10.05 tff(9536,plain,
% 14.87/10.05 ((~(v102(constB59) <=> (v105(constB59) | v106(constB59)))) | v102(constB59) | (~(v105(constB59) | v106(constB59)))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9537,plain,
% 14.87/10.05 (v102(constB59)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9536, 9535, 9491])).
% 14.87/10.05 tff(9538,plain,
% 14.87/10.05 ((~(v104(constB60) <=> v102(constB59))) | v104(constB60) | (~v102(constB59))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9539,plain,
% 14.87/10.05 (v104(constB60)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9538, 9537, 9489])).
% 14.87/10.05 tff(9540,plain,
% 14.87/10.05 ((~((~v95(constB60)) | (~v104(constB60)))) | (~v95(constB60)) | (~v104(constB60))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9541,plain,
% 14.87/10.05 (~((~v95(constB60)) | (~v104(constB60)))),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9540, 9539, 9485])).
% 14.87/10.05 tff(9542,plain,
% 14.87/10.05 ((~(v94(constB60) <=> (~((~v95(constB60)) | (~v104(constB60)))))) | v94(constB60) | ((~v95(constB60)) | (~v104(constB60)))),
% 14.87/10.05 inference(tautology,[status(thm)],[])).
% 14.87/10.05 tff(9543,plain,
% 14.87/10.05 (v94(constB60)),
% 14.87/10.05 inference(unit_resolution,[status(thm)],[9542, 9541, 9457])).
% 14.87/10.05 tff(9544,plain,
% 14.87/10.05 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB60)) | (~(((~v84(constB60, 2)) <=> v123(constB60, 2)) | ((~v84(constB60, 1)) <=> v123(constB60, 1)) | ((~v84(constB60, 0)) <=> v123(constB60, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB60)) | (~(((~v84(constB60, 2)) <=> v123(constB60, 2)) | ((~v84(constB60, 1)) <=> v123(constB60, 1)) | ((~v84(constB60, 0)) <=> v123(constB60, 0)))))),
% 14.87/10.06 inference(rewrite,[status(thm)],[])).
% 14.87/10.06 tff(9545,plain,
% 14.87/10.06 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB60)) | (~(((~v84(constB60, 2)) <=> v123(constB60, 2)) | ((~v84(constB60, 1)) <=> v123(constB60, 1)) | ((~v84(constB60, 0)) <=> v123(constB60, 0)))))),
% 14.87/10.06 inference(quant_inst,[status(thm)],[])).
% 14.87/10.06 tff(9546,plain,
% 14.87/10.06 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB60)) | (~(((~v84(constB60, 2)) <=> v123(constB60, 2)) | ((~v84(constB60, 1)) <=> v123(constB60, 1)) | ((~v84(constB60, 0)) <=> v123(constB60, 0))))),
% 14.87/10.06 inference(modus_ponens,[status(thm)],[9545, 9544])).
% 14.87/10.06 tff(9547,plain,
% 14.87/10.06 ((~v94(constB60)) | (~(((~v84(constB60, 2)) <=> v123(constB60, 2)) | ((~v84(constB60, 1)) <=> v123(constB60, 1)) | ((~v84(constB60, 0)) <=> v123(constB60, 0))))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9546, 2517])).
% 14.87/10.06 tff(9548,plain,
% 14.87/10.06 (~(((~v84(constB60, 2)) <=> v123(constB60, 2)) | ((~v84(constB60, 1)) <=> v123(constB60, 1)) | ((~v84(constB60, 0)) <=> v123(constB60, 0)))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9547, 9543])).
% 14.87/10.06 tff(9549,plain,
% 14.87/10.06 ((((~v84(constB60, 2)) <=> v123(constB60, 2)) | ((~v84(constB60, 1)) <=> v123(constB60, 1)) | ((~v84(constB60, 0)) <=> v123(constB60, 0))) | (~((~v84(constB60, 2)) <=> v123(constB60, 2)))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9550,plain,
% 14.87/10.06 (~((~v84(constB60, 2)) <=> v123(constB60, 2))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9549, 9548])).
% 14.87/10.06 tff(9551,plain,
% 14.87/10.06 (((~v84(constB60, 2)) <=> v123(constB60, 2)) | (~v84(constB60, 2)) | v123(constB60, 2)),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9552,plain,
% 14.87/10.06 (~v84(constB60, 2)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9551, 9550, 9453])).
% 14.87/10.06 tff(9553,plain,
% 14.87/10.06 (((~v84(constB61, 2)) <=> v84(constB60, 2)) | (~v84(constB61, 2)) | v84(constB60, 2)),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9554,plain,
% 14.87/10.06 (~v84(constB61, 2)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9553, 9552, 7614])).
% 14.87/10.06 tff(9555,plain,
% 14.87/10.06 ((((~v84(constB61, 1)) <=> v84(constB60, 1)) | ((~v84(constB61, 2)) <=> v84(constB60, 2)) | ((~v84(constB61, 0)) <=> v84(constB60, 0))) | (~((~v84(constB61, 0)) <=> v84(constB60, 0)))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9556,plain,
% 14.87/10.06 (~((~v84(constB61, 0)) <=> v84(constB60, 0))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9555, 7612])).
% 14.87/10.06 tff(9557,plain,
% 14.87/10.06 ((((~v123(constB60, 2)) <=> v121(constB59, 2)) | ((~v123(constB60, 1)) <=> v121(constB59, 1)) | ((~v123(constB60, 0)) <=> v121(constB59, 0))) | (~((~v123(constB60, 0)) <=> v121(constB59, 0)))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9558,plain,
% 14.87/10.06 (~((~v123(constB60, 0)) <=> v121(constB59, 0))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9557, 7621])).
% 14.87/10.06 tff(9559,plain,
% 14.87/10.06 ((((~v121(constB59, 2)) <=> v124(constB59, 2)) | ((~v121(constB59, 0)) <=> v124(constB59, 0)) | ((~v121(constB59, 1)) <=> v124(constB59, 1))) | (~((~v121(constB59, 0)) <=> v124(constB59, 0)))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9560,plain,
% 14.87/10.06 (~((~v121(constB59, 0)) <=> v124(constB59, 0))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9559, 7635])).
% 14.87/10.06 tff(9561,plain,
% 14.87/10.06 ((v124(constB59, 2) | (~v124(constB59, 0)) | (~v124(constB59, 1))) | v124(constB59, 0)),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9562,plain,
% 14.87/10.06 (v124(constB59, 0)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9561, 9447])).
% 14.87/10.06 tff(9563,plain,
% 14.87/10.06 (((~v121(constB59, 0)) <=> v124(constB59, 0)) | v121(constB59, 0) | (~v124(constB59, 0))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9564,plain,
% 14.87/10.06 (v121(constB59, 0)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9563, 9562, 9560])).
% 14.87/10.06 tff(9565,plain,
% 14.87/10.06 (((~v123(constB60, 0)) <=> v121(constB59, 0)) | v123(constB60, 0) | (~v121(constB59, 0))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9566,plain,
% 14.87/10.06 (v123(constB60, 0)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9565, 9564, 9558])).
% 14.87/10.06 tff(9567,plain,
% 14.87/10.06 ((((~v84(constB60, 2)) <=> v123(constB60, 2)) | ((~v84(constB60, 1)) <=> v123(constB60, 1)) | ((~v84(constB60, 0)) <=> v123(constB60, 0))) | (~((~v84(constB60, 0)) <=> v123(constB60, 0)))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9568,plain,
% 14.87/10.06 (~((~v84(constB60, 0)) <=> v123(constB60, 0))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9567, 9548])).
% 14.87/10.06 tff(9569,plain,
% 14.87/10.06 (((~v84(constB60, 0)) <=> v123(constB60, 0)) | v84(constB60, 0) | (~v123(constB60, 0))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9570,plain,
% 14.87/10.06 (v84(constB60, 0)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9569, 9568, 9566])).
% 14.87/10.06 tff(9571,plain,
% 14.87/10.06 (((~v84(constB61, 0)) <=> v84(constB60, 0)) | v84(constB61, 0) | (~v84(constB60, 0))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9572,plain,
% 14.87/10.06 (v84(constB61, 0)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9571, 9570, 9556])).
% 14.87/10.06 tff(9573,plain,
% 14.87/10.06 ((((~v84(constB61, 1)) <=> v84(constB60, 1)) | ((~v84(constB61, 2)) <=> v84(constB60, 2)) | ((~v84(constB61, 0)) <=> v84(constB60, 0))) | (~((~v84(constB61, 1)) <=> v84(constB60, 1)))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9574,plain,
% 14.87/10.06 (~((~v84(constB61, 1)) <=> v84(constB60, 1))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9573, 7612])).
% 14.87/10.06 tff(9575,plain,
% 14.87/10.06 ((((~v123(constB60, 2)) <=> v121(constB59, 2)) | ((~v123(constB60, 1)) <=> v121(constB59, 1)) | ((~v123(constB60, 0)) <=> v121(constB59, 0))) | (~((~v123(constB60, 1)) <=> v121(constB59, 1)))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9576,plain,
% 14.87/10.06 (~((~v123(constB60, 1)) <=> v121(constB59, 1))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9575, 7621])).
% 14.87/10.06 tff(9577,plain,
% 14.87/10.06 ((((~v121(constB59, 2)) <=> v124(constB59, 2)) | ((~v121(constB59, 0)) <=> v124(constB59, 0)) | ((~v121(constB59, 1)) <=> v124(constB59, 1))) | (~((~v121(constB59, 1)) <=> v124(constB59, 1)))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9578,plain,
% 14.87/10.06 (~((~v121(constB59, 1)) <=> v124(constB59, 1))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9577, 7635])).
% 14.87/10.06 tff(9579,plain,
% 14.87/10.06 ((v124(constB59, 2) | (~v124(constB59, 0)) | (~v124(constB59, 1))) | v124(constB59, 1)),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9580,plain,
% 14.87/10.06 (v124(constB59, 1)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9579, 9447])).
% 14.87/10.06 tff(9581,plain,
% 14.87/10.06 (((~v121(constB59, 1)) <=> v124(constB59, 1)) | v121(constB59, 1) | (~v124(constB59, 1))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9582,plain,
% 14.87/10.06 (v121(constB59, 1)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9581, 9580, 9578])).
% 14.87/10.06 tff(9583,plain,
% 14.87/10.06 (((~v123(constB60, 1)) <=> v121(constB59, 1)) | v123(constB60, 1) | (~v121(constB59, 1))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9584,plain,
% 14.87/10.06 (v123(constB60, 1)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9583, 9582, 9576])).
% 14.87/10.06 tff(9585,plain,
% 14.87/10.06 ((((~v84(constB60, 2)) <=> v123(constB60, 2)) | ((~v84(constB60, 1)) <=> v123(constB60, 1)) | ((~v84(constB60, 0)) <=> v123(constB60, 0))) | (~((~v84(constB60, 1)) <=> v123(constB60, 1)))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9586,plain,
% 14.87/10.06 (~((~v84(constB60, 1)) <=> v123(constB60, 1))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9585, 9548])).
% 14.87/10.06 tff(9587,plain,
% 14.87/10.06 (((~v84(constB60, 1)) <=> v123(constB60, 1)) | v84(constB60, 1) | (~v123(constB60, 1))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9588,plain,
% 14.87/10.06 (v84(constB60, 1)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9587, 9586, 9584])).
% 14.87/10.06 tff(9589,plain,
% 14.87/10.06 (((~v84(constB61, 1)) <=> v84(constB60, 1)) | v84(constB61, 1) | (~v84(constB60, 1))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9590,plain,
% 14.87/10.06 (v84(constB61, 1)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9589, 9588, 9574])).
% 14.87/10.06 tff(9591,plain,
% 14.87/10.06 ((~(v84(constB61, 2) | (~v84(constB61, 1)) | (~v84(constB61, 0)))) | v84(constB61, 2) | (~v84(constB61, 1)) | (~v84(constB61, 0))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9592,plain,
% 14.87/10.06 (~(v84(constB61, 2) | (~v84(constB61, 1)) | (~v84(constB61, 0)))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9591, 9590, 9572, 9554])).
% 14.87/10.06 tff(9593,plain,
% 14.87/10.06 ((~(v116(constB61) <=> (~(v84(constB61, 2) | (~v84(constB61, 1)) | (~v84(constB61, 0)))))) | v116(constB61) | (v84(constB61, 2) | (~v84(constB61, 1)) | (~v84(constB61, 0)))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9594,plain,
% 14.87/10.06 (v116(constB61)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9593, 9592, 7578])).
% 14.87/10.06 tff(9595,plain,
% 14.87/10.06 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB61)) | (~(v124(constB61, 0) | v124(constB61, 1) | (~v124(constB61, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB61)) | (~(v124(constB61, 0) | v124(constB61, 1) | (~v124(constB61, 2)))))),
% 14.87/10.06 inference(rewrite,[status(thm)],[])).
% 14.87/10.06 tff(9596,plain,
% 14.87/10.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB61)) | (~(v124(constB61, 0) | v124(constB61, 1) | (~v124(constB61, 2)))))),
% 14.87/10.06 inference(quant_inst,[status(thm)],[])).
% 14.87/10.06 tff(9597,plain,
% 14.87/10.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB61)) | (~(v124(constB61, 0) | v124(constB61, 1) | (~v124(constB61, 2))))),
% 14.87/10.06 inference(modus_ponens,[status(thm)],[9596, 9595])).
% 14.87/10.06 tff(9598,plain,
% 14.87/10.06 ((~v116(constB61)) | (~(v124(constB61, 0) | v124(constB61, 1) | (~v124(constB61, 2))))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9597, 3309])).
% 14.87/10.06 tff(9599,plain,
% 14.87/10.06 (~(v124(constB61, 0) | v124(constB61, 1) | (~v124(constB61, 2)))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9598, 9594])).
% 14.87/10.06 tff(9600,plain,
% 14.87/10.06 ((v124(constB61, 0) | v124(constB61, 1) | (~v124(constB61, 2))) | v124(constB61, 2)),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9601,plain,
% 14.87/10.06 (v124(constB61, 2)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9600, 9599])).
% 14.87/10.06 tff(9602,plain,
% 14.87/10.06 (((~v121(constB61, 2)) <=> v124(constB61, 2)) | v121(constB61, 2) | (~v124(constB61, 2))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9603,plain,
% 14.87/10.06 (v121(constB61, 2)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9602, 9601, 7576])).
% 14.87/10.06 tff(9604,plain,
% 14.87/10.06 (((~v123(constB62, 2)) <=> v121(constB61, 2)) | v123(constB62, 2) | (~v121(constB61, 2))),
% 14.87/10.06 inference(tautology,[status(thm)],[])).
% 14.87/10.06 tff(9605,plain,
% 14.87/10.06 (v123(constB62, 2)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9604, 9603, 7562])).
% 14.87/10.06 tff(9606,plain,
% 14.87/10.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB61, constB62)) | (v94(constB62) <=> (~((~v95(constB62)) | (~v104(constB62))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB61, constB62)) | (v94(constB62) <=> (~((~v95(constB62)) | (~v104(constB62))))))),
% 14.87/10.06 inference(rewrite,[status(thm)],[])).
% 14.87/10.06 tff(9607,plain,
% 14.87/10.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB61, constB62)) | (v94(constB62) <=> (~((~v95(constB62)) | (~v104(constB62))))))),
% 14.87/10.06 inference(quant_inst,[status(thm)],[])).
% 14.87/10.06 tff(9608,plain,
% 14.87/10.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB61, constB62)) | (v94(constB62) <=> (~((~v95(constB62)) | (~v104(constB62)))))),
% 14.87/10.06 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 14.87/10.06 tff(9609,plain,
% 14.87/10.06 (v94(constB62) <=> (~((~v95(constB62)) | (~v104(constB62))))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9608, 7556, 770])).
% 14.87/10.06 tff(9610,plain,
% 14.87/10.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62))))))),
% 14.87/10.06 inference(rewrite,[status(thm)],[])).
% 14.87/10.06 tff(9611,plain,
% 14.87/10.06 (((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v96(constB62)) | (~v1(constB62)))))) <=> ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62))))))),
% 14.87/10.06 inference(rewrite,[status(thm)],[])).
% 14.87/10.06 tff(9612,plain,
% 14.87/10.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v96(constB62)) | (~v1(constB62))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62)))))))),
% 14.87/10.06 inference(monotonicity,[status(thm)],[9611])).
% 14.87/10.06 tff(9613,plain,
% 14.87/10.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v96(constB62)) | (~v1(constB62))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62))))))),
% 14.87/10.06 inference(transitivity,[status(thm)],[9612, 9610])).
% 14.87/10.06 tff(9614,plain,
% 14.87/10.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v96(constB62)) | (~v1(constB62))))))),
% 14.87/10.06 inference(quant_inst,[status(thm)],[])).
% 14.87/10.06 tff(9615,plain,
% 14.87/10.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62)))))),
% 14.87/10.06 inference(modus_ponens,[status(thm)],[9614, 9613])).
% 14.87/10.06 tff(9616,plain,
% 14.87/10.06 (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62))))),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9615, 7556, 790])).
% 14.87/10.06 tff(9617,plain,
% 14.87/10.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB61, constB62)) | ((~v96(constB62)) <=> v98(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB61, constB62)) | ((~v96(constB62)) <=> v98(constB62)))),
% 14.87/10.06 inference(rewrite,[status(thm)],[])).
% 14.87/10.06 tff(9618,plain,
% 14.87/10.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB61, constB62)) | ((~v96(constB62)) <=> v98(constB62)))),
% 14.87/10.06 inference(quant_inst,[status(thm)],[])).
% 14.87/10.06 tff(9619,plain,
% 14.87/10.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB61, constB62)) | ((~v96(constB62)) <=> v98(constB62))),
% 14.87/10.06 inference(modus_ponens,[status(thm)],[9618, 9617])).
% 14.87/10.06 tff(9620,plain,
% 14.87/10.06 ((~v96(constB62)) <=> v98(constB62)),
% 14.87/10.06 inference(unit_resolution,[status(thm)],[9619, 7556, 2332])).
% 14.87/10.06 tff(9621,plain,
% 14.87/10.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v98(constB62) <=> v1(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v98(constB62) <=> v1(constB61)))),
% 14.87/10.07 inference(rewrite,[status(thm)],[])).
% 14.87/10.07 tff(9622,plain,
% 14.87/10.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v98(constB62) <=> v1(constB61)))),
% 14.87/10.07 inference(quant_inst,[status(thm)],[])).
% 14.87/10.07 tff(9623,plain,
% 14.87/10.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v98(constB62) <=> v1(constB61))),
% 14.87/10.07 inference(modus_ponens,[status(thm)],[9622, 9621])).
% 14.87/10.07 tff(9624,plain,
% 14.87/10.07 (v98(constB62) <=> v1(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9623, 7556, 2346])).
% 14.87/10.07 tff(9625,plain,
% 14.87/10.07 ((~(v98(constB62) <=> v1(constB61))) | (~v98(constB62)) | v1(constB61)),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9626,plain,
% 14.87/10.07 ((~(v98(constB62) <=> v1(constB61))) | (~v98(constB62))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9625, 7595])).
% 14.87/10.07 tff(9627,plain,
% 14.87/10.07 (~v98(constB62)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9626, 9624])).
% 14.87/10.07 tff(9628,plain,
% 14.87/10.07 ((~((~v96(constB62)) <=> v98(constB62))) | v96(constB62) | v98(constB62)),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9629,plain,
% 14.87/10.07 (v96(constB62)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9628, 9627, 9620])).
% 14.87/10.07 tff(9630,plain,
% 14.87/10.07 (v1(constB62) <=> v1(constB62)),
% 14.87/10.07 inference(rewrite,[status(thm)],[])).
% 14.87/10.07 tff(9631,axiom,(v1(constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_62')).
% 14.87/10.07 tff(9632,plain,
% 14.87/10.07 (v1(constB62)),
% 14.87/10.07 inference(modus_ponens,[status(thm)],[9631, 9630])).
% 14.87/10.07 tff(9633,plain,
% 14.87/10.07 ((~((~v1(constB62)) | (~v96(constB62)))) | (~v1(constB62)) | (~v96(constB62))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9634,plain,
% 14.87/10.07 ((~((~v1(constB62)) | (~v96(constB62)))) | (~v96(constB62))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9633, 9632])).
% 14.87/10.07 tff(9635,plain,
% 14.87/10.07 (~((~v1(constB62)) | (~v96(constB62)))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9634, 9629])).
% 14.87/10.07 tff(9636,plain,
% 14.87/10.07 ((~(v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62)))))) | v95(constB62) | ((~v1(constB62)) | (~v96(constB62)))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9637,plain,
% 14.87/10.07 (v95(constB62)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9636, 9635, 9616])).
% 14.87/10.07 tff(9638,plain,
% 14.87/10.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v102(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v102(constB61)))),
% 14.87/10.07 inference(rewrite,[status(thm)],[])).
% 14.87/10.07 tff(9639,plain,
% 14.87/10.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v102(constB61)))),
% 14.87/10.07 inference(quant_inst,[status(thm)],[])).
% 14.87/10.07 tff(9640,plain,
% 14.87/10.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v102(constB61))),
% 14.87/10.07 inference(modus_ponens,[status(thm)],[9639, 9638])).
% 14.87/10.07 tff(9641,plain,
% 14.87/10.07 (v104(constB62) <=> v102(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9640, 7556, 2373])).
% 14.87/10.07 tff(9642,plain,
% 14.87/10.07 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB61) <=> (v105(constB61) | v106(constB61)))),
% 14.87/10.07 inference(quant_inst,[status(thm)],[])).
% 14.87/10.07 tff(9643,plain,
% 14.87/10.07 (v102(constB61) <=> (v105(constB61) | v106(constB61))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9642, 2384])).
% 14.87/10.07 tff(9644,plain,
% 14.87/10.07 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB61) <=> (~((~v107(constB61)) | (~v120(constB61)))))),
% 14.87/10.07 inference(quant_inst,[status(thm)],[])).
% 14.87/10.07 tff(9645,plain,
% 14.87/10.07 (v106(constB61) <=> (~((~v107(constB61)) | (~v120(constB61))))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9644, 2396])).
% 14.87/10.07 tff(9646,plain,
% 14.87/10.07 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB61) <=> (v108(constB61) | v119(constB61)))),
% 14.87/10.07 inference(quant_inst,[status(thm)],[])).
% 14.87/10.07 tff(9647,plain,
% 14.87/10.07 (v107(constB61) <=> (v108(constB61) | v119(constB61))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9646, 2405])).
% 14.87/10.07 tff(9648,plain,
% 14.87/10.07 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB61) <=> (v109(constB61) | v118(constB61)))),
% 14.87/10.07 inference(quant_inst,[status(thm)],[])).
% 14.87/10.07 tff(9649,plain,
% 14.87/10.07 (v108(constB61) <=> (v109(constB61) | v118(constB61))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9648, 2414])).
% 14.87/10.07 tff(9650,plain,
% 14.87/10.07 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB61) <=> (v110(constB61) | v117(constB61)))),
% 14.87/10.07 inference(quant_inst,[status(thm)],[])).
% 14.87/10.07 tff(9651,plain,
% 14.87/10.07 (v109(constB61) <=> (v110(constB61) | v117(constB61))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9650, 2423])).
% 14.87/10.07 tff(9652,plain,
% 14.87/10.07 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB61) <=> (v111(constB61) | v116(constB61)))),
% 14.87/10.07 inference(quant_inst,[status(thm)],[])).
% 14.87/10.07 tff(9653,plain,
% 14.87/10.07 (v110(constB61) <=> (v111(constB61) | v116(constB61))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9652, 2432])).
% 14.87/10.07 tff(9654,plain,
% 14.87/10.07 ((v111(constB61) | v116(constB61)) | (~v116(constB61))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9655,plain,
% 14.87/10.07 (v111(constB61) | v116(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9654, 9594])).
% 14.87/10.07 tff(9656,plain,
% 14.87/10.07 ((~(v110(constB61) <=> (v111(constB61) | v116(constB61)))) | v110(constB61) | (~(v111(constB61) | v116(constB61)))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9657,plain,
% 14.87/10.07 (v110(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9656, 9655, 9653])).
% 14.87/10.07 tff(9658,plain,
% 14.87/10.07 ((v110(constB61) | v117(constB61)) | (~v110(constB61))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9659,plain,
% 14.87/10.07 (v110(constB61) | v117(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9658, 9657])).
% 14.87/10.07 tff(9660,plain,
% 14.87/10.07 ((~(v109(constB61) <=> (v110(constB61) | v117(constB61)))) | v109(constB61) | (~(v110(constB61) | v117(constB61)))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9661,plain,
% 14.87/10.07 (v109(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9660, 9659, 9651])).
% 14.87/10.07 tff(9662,plain,
% 14.87/10.07 ((v109(constB61) | v118(constB61)) | (~v109(constB61))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9663,plain,
% 14.87/10.07 (v109(constB61) | v118(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9662, 9661])).
% 14.87/10.07 tff(9664,plain,
% 14.87/10.07 ((~(v108(constB61) <=> (v109(constB61) | v118(constB61)))) | v108(constB61) | (~(v109(constB61) | v118(constB61)))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9665,plain,
% 14.87/10.07 (v108(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9664, 9663, 9649])).
% 14.87/10.07 tff(9666,plain,
% 14.87/10.07 ((v108(constB61) | v119(constB61)) | (~v108(constB61))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9667,plain,
% 14.87/10.07 (v108(constB61) | v119(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9666, 9665])).
% 14.87/10.07 tff(9668,plain,
% 14.87/10.07 ((~(v107(constB61) <=> (v108(constB61) | v119(constB61)))) | v107(constB61) | (~(v108(constB61) | v119(constB61)))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9669,plain,
% 14.87/10.07 (v107(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9668, 9667, 9647])).
% 14.87/10.07 tff(9670,plain,
% 14.87/10.07 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB61)) <=> v105(constB61))),
% 14.87/10.07 inference(quant_inst,[status(thm)],[])).
% 14.87/10.07 tff(9671,plain,
% 14.87/10.07 ((~v120(constB61)) <=> v105(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9670, 2484])).
% 14.87/10.07 tff(9672,plain,
% 14.87/10.07 ((~((~v120(constB61)) <=> v105(constB61))) | v120(constB61) | v105(constB61)),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9673,plain,
% 14.87/10.07 ((~((~v120(constB61)) <=> v105(constB61))) | v120(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9672, 7569])).
% 14.87/10.07 tff(9674,plain,
% 14.87/10.07 (v120(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9673, 9671])).
% 14.87/10.07 tff(9675,plain,
% 14.87/10.07 ((~((~v107(constB61)) | (~v120(constB61)))) | (~v107(constB61)) | (~v120(constB61))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9676,plain,
% 14.87/10.07 ((~((~v107(constB61)) | (~v120(constB61)))) | (~v107(constB61))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9675, 9674])).
% 14.87/10.07 tff(9677,plain,
% 14.87/10.07 (~((~v107(constB61)) | (~v120(constB61)))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9676, 9669])).
% 14.87/10.07 tff(9678,plain,
% 14.87/10.07 ((~(v106(constB61) <=> (~((~v107(constB61)) | (~v120(constB61)))))) | v106(constB61) | ((~v107(constB61)) | (~v120(constB61)))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9679,plain,
% 14.87/10.07 (v106(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9678, 9677, 9645])).
% 14.87/10.07 tff(9680,plain,
% 14.87/10.07 ((v105(constB61) | v106(constB61)) | (~v106(constB61))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9681,plain,
% 14.87/10.07 (v105(constB61) | v106(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9680, 9679])).
% 14.87/10.07 tff(9682,plain,
% 14.87/10.07 ((~(v102(constB61) <=> (v105(constB61) | v106(constB61)))) | v102(constB61) | (~(v105(constB61) | v106(constB61)))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9683,plain,
% 14.87/10.07 (v102(constB61)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9682, 9681, 9643])).
% 14.87/10.07 tff(9684,plain,
% 14.87/10.07 ((~(v104(constB62) <=> v102(constB61))) | v104(constB62) | (~v102(constB61))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9685,plain,
% 14.87/10.07 (v104(constB62)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9684, 9683, 9641])).
% 14.87/10.07 tff(9686,plain,
% 14.87/10.07 ((~((~v95(constB62)) | (~v104(constB62)))) | (~v95(constB62)) | (~v104(constB62))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9687,plain,
% 14.87/10.07 (~((~v95(constB62)) | (~v104(constB62)))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9686, 9685, 9637])).
% 14.87/10.07 tff(9688,plain,
% 14.87/10.07 ((~(v94(constB62) <=> (~((~v95(constB62)) | (~v104(constB62)))))) | v94(constB62) | ((~v95(constB62)) | (~v104(constB62)))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9689,plain,
% 14.87/10.07 (v94(constB62)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9688, 9687, 9609])).
% 14.87/10.07 tff(9690,plain,
% 14.87/10.07 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB62)) | (~(((~v84(constB62, 0)) <=> v123(constB62, 0)) | ((~v84(constB62, 2)) <=> v123(constB62, 2)) | ((~v84(constB62, 1)) <=> v123(constB62, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB62)) | (~(((~v84(constB62, 0)) <=> v123(constB62, 0)) | ((~v84(constB62, 2)) <=> v123(constB62, 2)) | ((~v84(constB62, 1)) <=> v123(constB62, 1)))))),
% 14.87/10.07 inference(rewrite,[status(thm)],[])).
% 14.87/10.07 tff(9691,plain,
% 14.87/10.07 (((~v94(constB62)) | (~(((~v84(constB62, 2)) <=> v123(constB62, 2)) | ((~v84(constB62, 1)) <=> v123(constB62, 1)) | ((~v84(constB62, 0)) <=> v123(constB62, 0))))) <=> ((~v94(constB62)) | (~(((~v84(constB62, 0)) <=> v123(constB62, 0)) | ((~v84(constB62, 2)) <=> v123(constB62, 2)) | ((~v84(constB62, 1)) <=> v123(constB62, 1)))))),
% 14.87/10.07 inference(rewrite,[status(thm)],[])).
% 14.87/10.07 tff(9692,plain,
% 14.87/10.07 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB62)) | (~(((~v84(constB62, 2)) <=> v123(constB62, 2)) | ((~v84(constB62, 1)) <=> v123(constB62, 1)) | ((~v84(constB62, 0)) <=> v123(constB62, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB62)) | (~(((~v84(constB62, 0)) <=> v123(constB62, 0)) | ((~v84(constB62, 2)) <=> v123(constB62, 2)) | ((~v84(constB62, 1)) <=> v123(constB62, 1))))))),
% 14.87/10.07 inference(monotonicity,[status(thm)],[9691])).
% 14.87/10.07 tff(9693,plain,
% 14.87/10.07 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB62)) | (~(((~v84(constB62, 2)) <=> v123(constB62, 2)) | ((~v84(constB62, 1)) <=> v123(constB62, 1)) | ((~v84(constB62, 0)) <=> v123(constB62, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB62)) | (~(((~v84(constB62, 0)) <=> v123(constB62, 0)) | ((~v84(constB62, 2)) <=> v123(constB62, 2)) | ((~v84(constB62, 1)) <=> v123(constB62, 1)))))),
% 14.87/10.07 inference(transitivity,[status(thm)],[9692, 9690])).
% 14.87/10.07 tff(9694,plain,
% 14.87/10.07 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB62)) | (~(((~v84(constB62, 2)) <=> v123(constB62, 2)) | ((~v84(constB62, 1)) <=> v123(constB62, 1)) | ((~v84(constB62, 0)) <=> v123(constB62, 0)))))),
% 14.87/10.07 inference(quant_inst,[status(thm)],[])).
% 14.87/10.07 tff(9695,plain,
% 14.87/10.07 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB62)) | (~(((~v84(constB62, 0)) <=> v123(constB62, 0)) | ((~v84(constB62, 2)) <=> v123(constB62, 2)) | ((~v84(constB62, 1)) <=> v123(constB62, 1))))),
% 14.87/10.07 inference(modus_ponens,[status(thm)],[9694, 9693])).
% 14.87/10.07 tff(9696,plain,
% 14.87/10.07 ((~v94(constB62)) | (~(((~v84(constB62, 0)) <=> v123(constB62, 0)) | ((~v84(constB62, 2)) <=> v123(constB62, 2)) | ((~v84(constB62, 1)) <=> v123(constB62, 1))))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9695, 2517])).
% 14.87/10.07 tff(9697,plain,
% 14.87/10.07 (~(((~v84(constB62, 0)) <=> v123(constB62, 0)) | ((~v84(constB62, 2)) <=> v123(constB62, 2)) | ((~v84(constB62, 1)) <=> v123(constB62, 1)))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9696, 9689])).
% 14.87/10.07 tff(9698,plain,
% 14.87/10.07 ((((~v84(constB62, 0)) <=> v123(constB62, 0)) | ((~v84(constB62, 2)) <=> v123(constB62, 2)) | ((~v84(constB62, 1)) <=> v123(constB62, 1))) | (~((~v84(constB62, 2)) <=> v123(constB62, 2)))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9699,plain,
% 14.87/10.07 (~((~v84(constB62, 2)) <=> v123(constB62, 2))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9698, 9697])).
% 14.87/10.07 tff(9700,plain,
% 14.87/10.07 (((~v84(constB62, 2)) <=> v123(constB62, 2)) | v84(constB62, 2) | (~v123(constB62, 2))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9701,plain,
% 14.87/10.07 (v84(constB62, 2)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9700, 9699, 9605])).
% 14.87/10.07 tff(9702,plain,
% 14.87/10.07 (((~v84(constB63, 2)) <=> v84(constB62, 2)) | v84(constB63, 2) | (~v84(constB62, 2))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9703,plain,
% 14.87/10.07 (v84(constB63, 2)),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9702, 9701, 7553])).
% 14.87/10.07 tff(9704,plain,
% 14.87/10.07 ((((~v84(constB63, 1)) <=> v84(constB62, 1)) | ((~v84(constB63, 2)) <=> v84(constB62, 2)) | ((~v84(constB63, 0)) <=> v84(constB62, 0))) | (~((~v84(constB63, 0)) <=> v84(constB62, 0)))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9705,plain,
% 14.87/10.07 (~((~v84(constB63, 0)) <=> v84(constB62, 0))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9704, 7551])).
% 14.87/10.07 tff(9706,plain,
% 14.87/10.07 ((((~v123(constB62, 2)) <=> v121(constB61, 2)) | ((~v123(constB62, 1)) <=> v121(constB61, 1)) | ((~v123(constB62, 0)) <=> v121(constB61, 0))) | (~((~v123(constB62, 0)) <=> v121(constB61, 0)))),
% 14.87/10.07 inference(tautology,[status(thm)],[])).
% 14.87/10.07 tff(9707,plain,
% 14.87/10.07 (~((~v123(constB62, 0)) <=> v121(constB61, 0))),
% 14.87/10.07 inference(unit_resolution,[status(thm)],[9706, 7560])).
% 14.87/10.07 tff(9708,plain,
% 14.87/10.07 ((((~v121(constB61, 2)) <=> v124(constB61, 2)) | ((~v121(constB61, 0)) <=> v124(constB61, 0)) | ((~v121(constB61, 1)) <=> v124(constB61, 1))) | (~((~v121(constB61, 0)) <=> v124(constB61, 0)))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9709,plain,
% 14.87/10.08 (~((~v121(constB61, 0)) <=> v124(constB61, 0))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9708, 7574])).
% 14.87/10.08 tff(9710,plain,
% 14.87/10.08 ((v124(constB61, 0) | v124(constB61, 1) | (~v124(constB61, 2))) | (~v124(constB61, 0))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9711,plain,
% 14.87/10.08 (~v124(constB61, 0)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9710, 9599])).
% 14.87/10.08 tff(9712,plain,
% 14.87/10.08 (((~v121(constB61, 0)) <=> v124(constB61, 0)) | (~v121(constB61, 0)) | v124(constB61, 0)),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9713,plain,
% 14.87/10.08 (~v121(constB61, 0)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9712, 9711, 9709])).
% 14.87/10.08 tff(9714,plain,
% 14.87/10.08 (((~v123(constB62, 0)) <=> v121(constB61, 0)) | (~v123(constB62, 0)) | v121(constB61, 0)),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9715,plain,
% 14.87/10.08 (~v123(constB62, 0)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9714, 9713, 9707])).
% 14.87/10.08 tff(9716,plain,
% 14.87/10.08 ((((~v84(constB62, 0)) <=> v123(constB62, 0)) | ((~v84(constB62, 2)) <=> v123(constB62, 2)) | ((~v84(constB62, 1)) <=> v123(constB62, 1))) | (~((~v84(constB62, 0)) <=> v123(constB62, 0)))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9717,plain,
% 14.87/10.08 (~((~v84(constB62, 0)) <=> v123(constB62, 0))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9716, 9697])).
% 14.87/10.08 tff(9718,plain,
% 14.87/10.08 (((~v84(constB62, 0)) <=> v123(constB62, 0)) | (~v84(constB62, 0)) | v123(constB62, 0)),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9719,plain,
% 14.87/10.08 (~v84(constB62, 0)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9718, 9717, 9715])).
% 14.87/10.08 tff(9720,plain,
% 14.87/10.08 (((~v84(constB63, 0)) <=> v84(constB62, 0)) | (~v84(constB63, 0)) | v84(constB62, 0)),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9721,plain,
% 14.87/10.08 (~v84(constB63, 0)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9720, 9719, 9705])).
% 14.87/10.08 tff(9722,plain,
% 14.87/10.08 ((((~v84(constB63, 1)) <=> v84(constB62, 1)) | ((~v84(constB63, 2)) <=> v84(constB62, 2)) | ((~v84(constB63, 0)) <=> v84(constB62, 0))) | (~((~v84(constB63, 1)) <=> v84(constB62, 1)))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9723,plain,
% 14.87/10.08 (~((~v84(constB63, 1)) <=> v84(constB62, 1))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9722, 7551])).
% 14.87/10.08 tff(9724,plain,
% 14.87/10.08 ((((~v123(constB62, 2)) <=> v121(constB61, 2)) | ((~v123(constB62, 1)) <=> v121(constB61, 1)) | ((~v123(constB62, 0)) <=> v121(constB61, 0))) | (~((~v123(constB62, 1)) <=> v121(constB61, 1)))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9725,plain,
% 14.87/10.08 (~((~v123(constB62, 1)) <=> v121(constB61, 1))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9724, 7560])).
% 14.87/10.08 tff(9726,plain,
% 14.87/10.08 ((((~v121(constB61, 2)) <=> v124(constB61, 2)) | ((~v121(constB61, 0)) <=> v124(constB61, 0)) | ((~v121(constB61, 1)) <=> v124(constB61, 1))) | (~((~v121(constB61, 1)) <=> v124(constB61, 1)))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9727,plain,
% 14.87/10.08 (~((~v121(constB61, 1)) <=> v124(constB61, 1))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9726, 7574])).
% 14.87/10.08 tff(9728,plain,
% 14.87/10.08 ((v124(constB61, 0) | v124(constB61, 1) | (~v124(constB61, 2))) | (~v124(constB61, 1))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9729,plain,
% 14.87/10.08 (~v124(constB61, 1)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9728, 9599])).
% 14.87/10.08 tff(9730,plain,
% 14.87/10.08 (((~v121(constB61, 1)) <=> v124(constB61, 1)) | (~v121(constB61, 1)) | v124(constB61, 1)),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9731,plain,
% 14.87/10.08 (~v121(constB61, 1)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9730, 9729, 9727])).
% 14.87/10.08 tff(9732,plain,
% 14.87/10.08 (((~v123(constB62, 1)) <=> v121(constB61, 1)) | (~v123(constB62, 1)) | v121(constB61, 1)),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9733,plain,
% 14.87/10.08 (~v123(constB62, 1)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9732, 9731, 9725])).
% 14.87/10.08 tff(9734,plain,
% 14.87/10.08 ((((~v84(constB62, 0)) <=> v123(constB62, 0)) | ((~v84(constB62, 2)) <=> v123(constB62, 2)) | ((~v84(constB62, 1)) <=> v123(constB62, 1))) | (~((~v84(constB62, 1)) <=> v123(constB62, 1)))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9735,plain,
% 14.87/10.08 (~((~v84(constB62, 1)) <=> v123(constB62, 1))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9734, 9697])).
% 14.87/10.08 tff(9736,plain,
% 14.87/10.08 (((~v84(constB62, 1)) <=> v123(constB62, 1)) | (~v84(constB62, 1)) | v123(constB62, 1)),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9737,plain,
% 14.87/10.08 (~v84(constB62, 1)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9736, 9735, 9733])).
% 14.87/10.08 tff(9738,plain,
% 14.87/10.08 (((~v84(constB63, 1)) <=> v84(constB62, 1)) | (~v84(constB63, 1)) | v84(constB62, 1)),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9739,plain,
% 14.87/10.08 (~v84(constB63, 1)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9738, 9737, 9723])).
% 14.87/10.08 tff(9740,plain,
% 14.87/10.08 ((~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))) | v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9741,plain,
% 14.87/10.08 (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9740, 9739, 9721, 9703])).
% 14.87/10.08 tff(9742,plain,
% 14.87/10.08 ((~(v117(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))))) | v117(constB63) | (v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9743,plain,
% 14.87/10.08 (v117(constB63)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9742, 9741, 7517])).
% 14.87/10.08 tff(9744,plain,
% 14.87/10.08 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB63)) | (~(v124(constB63, 0) | (~v124(constB63, 2)) | (~v124(constB63, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB63)) | (~(v124(constB63, 0) | (~v124(constB63, 2)) | (~v124(constB63, 1)))))),
% 14.87/10.08 inference(rewrite,[status(thm)],[])).
% 14.87/10.08 tff(9745,plain,
% 14.87/10.08 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB63)) | (~(v124(constB63, 0) | (~v124(constB63, 2)) | (~v124(constB63, 1)))))),
% 14.87/10.08 inference(quant_inst,[status(thm)],[])).
% 14.87/10.08 tff(9746,plain,
% 14.87/10.08 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB63)) | (~(v124(constB63, 0) | (~v124(constB63, 2)) | (~v124(constB63, 1))))),
% 14.87/10.08 inference(modus_ponens,[status(thm)],[9745, 9744])).
% 14.87/10.08 tff(9747,plain,
% 14.87/10.08 ((~v117(constB63)) | (~(v124(constB63, 0) | (~v124(constB63, 2)) | (~v124(constB63, 1))))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9746, 2584])).
% 14.87/10.08 tff(9748,plain,
% 14.87/10.08 (~(v124(constB63, 0) | (~v124(constB63, 2)) | (~v124(constB63, 1)))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9747, 9743])).
% 14.87/10.08 tff(9749,plain,
% 14.87/10.08 ((v124(constB63, 0) | (~v124(constB63, 2)) | (~v124(constB63, 1))) | v124(constB63, 2)),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9750,plain,
% 14.87/10.08 (v124(constB63, 2)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9749, 9748])).
% 14.87/10.08 tff(9751,plain,
% 14.87/10.08 (((~v121(constB63, 2)) <=> v124(constB63, 2)) | v121(constB63, 2) | (~v124(constB63, 2))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9752,plain,
% 14.87/10.08 (v121(constB63, 2)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9751, 9750, 7510])).
% 14.87/10.08 tff(9753,plain,
% 14.87/10.08 (((~v123(constB64, 2)) <=> v121(constB63, 2)) | v123(constB64, 2) | (~v121(constB63, 2))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9754,plain,
% 14.87/10.08 (v123(constB64, 2)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9753, 9752, 7496])).
% 14.87/10.08 tff(9755,plain,
% 14.87/10.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB63, constB64)) | (v94(constB64) <=> (~((~v95(constB64)) | (~v104(constB64))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB63, constB64)) | (v94(constB64) <=> (~((~v95(constB64)) | (~v104(constB64))))))),
% 14.87/10.08 inference(rewrite,[status(thm)],[])).
% 14.87/10.08 tff(9756,plain,
% 14.87/10.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB63, constB64)) | (v94(constB64) <=> (~((~v95(constB64)) | (~v104(constB64))))))),
% 14.87/10.08 inference(quant_inst,[status(thm)],[])).
% 14.87/10.08 tff(9757,plain,
% 14.87/10.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB63, constB64)) | (v94(constB64) <=> (~((~v95(constB64)) | (~v104(constB64)))))),
% 14.87/10.08 inference(modus_ponens,[status(thm)],[9756, 9755])).
% 14.87/10.08 tff(9758,plain,
% 14.87/10.08 (v94(constB64) <=> (~((~v95(constB64)) | (~v104(constB64))))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9757, 7490, 770])).
% 14.87/10.08 tff(9759,plain,
% 14.87/10.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64))))))),
% 14.87/10.08 inference(rewrite,[status(thm)],[])).
% 14.87/10.08 tff(9760,plain,
% 14.87/10.08 (((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v96(constB64)) | (~v1(constB64)))))) <=> ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64))))))),
% 14.87/10.08 inference(rewrite,[status(thm)],[])).
% 14.87/10.08 tff(9761,plain,
% 14.87/10.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v96(constB64)) | (~v1(constB64))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64)))))))),
% 14.87/10.08 inference(monotonicity,[status(thm)],[9760])).
% 14.87/10.08 tff(9762,plain,
% 14.87/10.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v96(constB64)) | (~v1(constB64))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64))))))),
% 14.87/10.08 inference(transitivity,[status(thm)],[9761, 9759])).
% 14.87/10.08 tff(9763,plain,
% 14.87/10.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v96(constB64)) | (~v1(constB64))))))),
% 14.87/10.08 inference(quant_inst,[status(thm)],[])).
% 14.87/10.08 tff(9764,plain,
% 14.87/10.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64)))))),
% 14.87/10.08 inference(modus_ponens,[status(thm)],[9763, 9762])).
% 14.87/10.08 tff(9765,plain,
% 14.87/10.08 (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64))))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9764, 7490, 790])).
% 14.87/10.08 tff(9766,plain,
% 14.87/10.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB63, constB64)) | ((~v96(constB64)) <=> v98(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB63, constB64)) | ((~v96(constB64)) <=> v98(constB64)))),
% 14.87/10.08 inference(rewrite,[status(thm)],[])).
% 14.87/10.08 tff(9767,plain,
% 14.87/10.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB63, constB64)) | ((~v96(constB64)) <=> v98(constB64)))),
% 14.87/10.08 inference(quant_inst,[status(thm)],[])).
% 14.87/10.08 tff(9768,plain,
% 14.87/10.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB63, constB64)) | ((~v96(constB64)) <=> v98(constB64))),
% 14.87/10.08 inference(modus_ponens,[status(thm)],[9767, 9766])).
% 14.87/10.08 tff(9769,plain,
% 14.87/10.08 ((~v96(constB64)) <=> v98(constB64)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9768, 7490, 2332])).
% 14.87/10.08 tff(9770,plain,
% 14.87/10.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v98(constB64) <=> v1(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v98(constB64) <=> v1(constB63)))),
% 14.87/10.08 inference(rewrite,[status(thm)],[])).
% 14.87/10.08 tff(9771,plain,
% 14.87/10.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v98(constB64) <=> v1(constB63)))),
% 14.87/10.08 inference(quant_inst,[status(thm)],[])).
% 14.87/10.08 tff(9772,plain,
% 14.87/10.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v98(constB64) <=> v1(constB63))),
% 14.87/10.08 inference(modus_ponens,[status(thm)],[9771, 9770])).
% 14.87/10.08 tff(9773,plain,
% 14.87/10.08 (v98(constB64) <=> v1(constB63)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9772, 7490, 2346])).
% 14.87/10.08 tff(9774,plain,
% 14.87/10.08 ((~(v98(constB64) <=> v1(constB63))) | (~v98(constB64)) | v1(constB63)),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9775,plain,
% 14.87/10.08 ((~(v98(constB64) <=> v1(constB63))) | (~v98(constB64))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9774, 7534])).
% 14.87/10.08 tff(9776,plain,
% 14.87/10.08 (~v98(constB64)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9775, 9773])).
% 14.87/10.08 tff(9777,plain,
% 14.87/10.08 ((~((~v96(constB64)) <=> v98(constB64))) | v96(constB64) | v98(constB64)),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9778,plain,
% 14.87/10.08 (v96(constB64)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9777, 9776, 9769])).
% 14.87/10.08 tff(9779,plain,
% 14.87/10.08 (v1(constB64) <=> v1(constB64)),
% 14.87/10.08 inference(rewrite,[status(thm)],[])).
% 14.87/10.08 tff(9780,axiom,(v1(constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_64')).
% 14.87/10.08 tff(9781,plain,
% 14.87/10.08 (v1(constB64)),
% 14.87/10.08 inference(modus_ponens,[status(thm)],[9780, 9779])).
% 14.87/10.08 tff(9782,plain,
% 14.87/10.08 ((~((~v1(constB64)) | (~v96(constB64)))) | (~v1(constB64)) | (~v96(constB64))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9783,plain,
% 14.87/10.08 ((~((~v1(constB64)) | (~v96(constB64)))) | (~v96(constB64))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9782, 9781])).
% 14.87/10.08 tff(9784,plain,
% 14.87/10.08 (~((~v1(constB64)) | (~v96(constB64)))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9783, 9778])).
% 14.87/10.08 tff(9785,plain,
% 14.87/10.08 ((~(v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64)))))) | v95(constB64) | ((~v1(constB64)) | (~v96(constB64)))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9786,plain,
% 14.87/10.08 (v95(constB64)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9785, 9784, 9765])).
% 14.87/10.08 tff(9787,plain,
% 14.87/10.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v102(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v102(constB63)))),
% 14.87/10.08 inference(rewrite,[status(thm)],[])).
% 14.87/10.08 tff(9788,plain,
% 14.87/10.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v102(constB63)))),
% 14.87/10.08 inference(quant_inst,[status(thm)],[])).
% 14.87/10.08 tff(9789,plain,
% 14.87/10.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v102(constB63))),
% 14.87/10.08 inference(modus_ponens,[status(thm)],[9788, 9787])).
% 14.87/10.08 tff(9790,plain,
% 14.87/10.08 (v104(constB64) <=> v102(constB63)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9789, 7490, 2373])).
% 14.87/10.08 tff(9791,plain,
% 14.87/10.08 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB63) <=> (v105(constB63) | v106(constB63)))),
% 14.87/10.08 inference(quant_inst,[status(thm)],[])).
% 14.87/10.08 tff(9792,plain,
% 14.87/10.08 (v102(constB63) <=> (v105(constB63) | v106(constB63))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9791, 2384])).
% 14.87/10.08 tff(9793,plain,
% 14.87/10.08 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB63) <=> (~((~v107(constB63)) | (~v120(constB63)))))),
% 14.87/10.08 inference(quant_inst,[status(thm)],[])).
% 14.87/10.08 tff(9794,plain,
% 14.87/10.08 (v106(constB63) <=> (~((~v107(constB63)) | (~v120(constB63))))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9793, 2396])).
% 14.87/10.08 tff(9795,plain,
% 14.87/10.08 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB63) <=> (v108(constB63) | v119(constB63)))),
% 14.87/10.08 inference(quant_inst,[status(thm)],[])).
% 14.87/10.08 tff(9796,plain,
% 14.87/10.08 (v107(constB63) <=> (v108(constB63) | v119(constB63))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9795, 2405])).
% 14.87/10.08 tff(9797,plain,
% 14.87/10.08 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB63) <=> (v109(constB63) | v118(constB63)))),
% 14.87/10.08 inference(quant_inst,[status(thm)],[])).
% 14.87/10.08 tff(9798,plain,
% 14.87/10.08 (v108(constB63) <=> (v109(constB63) | v118(constB63))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9797, 2414])).
% 14.87/10.08 tff(9799,plain,
% 14.87/10.08 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB63) <=> (v110(constB63) | v117(constB63)))),
% 14.87/10.08 inference(quant_inst,[status(thm)],[])).
% 14.87/10.08 tff(9800,plain,
% 14.87/10.08 (v109(constB63) <=> (v110(constB63) | v117(constB63))),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9799, 2423])).
% 14.87/10.08 tff(9801,plain,
% 14.87/10.08 ((v110(constB63) | v117(constB63)) | (~v117(constB63))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9802,plain,
% 14.87/10.08 (v110(constB63) | v117(constB63)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9801, 9743])).
% 14.87/10.08 tff(9803,plain,
% 14.87/10.08 ((~(v109(constB63) <=> (v110(constB63) | v117(constB63)))) | v109(constB63) | (~(v110(constB63) | v117(constB63)))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9804,plain,
% 14.87/10.08 (v109(constB63)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9803, 9802, 9800])).
% 14.87/10.08 tff(9805,plain,
% 14.87/10.08 ((v109(constB63) | v118(constB63)) | (~v109(constB63))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9806,plain,
% 14.87/10.08 (v109(constB63) | v118(constB63)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9805, 9804])).
% 14.87/10.08 tff(9807,plain,
% 14.87/10.08 ((~(v108(constB63) <=> (v109(constB63) | v118(constB63)))) | v108(constB63) | (~(v109(constB63) | v118(constB63)))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9808,plain,
% 14.87/10.08 (v108(constB63)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9807, 9806, 9798])).
% 14.87/10.08 tff(9809,plain,
% 14.87/10.08 ((v108(constB63) | v119(constB63)) | (~v108(constB63))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9810,plain,
% 14.87/10.08 (v108(constB63) | v119(constB63)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9809, 9808])).
% 14.87/10.08 tff(9811,plain,
% 14.87/10.08 ((~(v107(constB63) <=> (v108(constB63) | v119(constB63)))) | v107(constB63) | (~(v108(constB63) | v119(constB63)))),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9812,plain,
% 14.87/10.08 (v107(constB63)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9811, 9810, 9796])).
% 14.87/10.08 tff(9813,plain,
% 14.87/10.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB63)) <=> v105(constB63))),
% 14.87/10.08 inference(quant_inst,[status(thm)],[])).
% 14.87/10.08 tff(9814,plain,
% 14.87/10.08 ((~v120(constB63)) <=> v105(constB63)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9813, 2484])).
% 14.87/10.08 tff(9815,plain,
% 14.87/10.08 ((~((~v120(constB63)) <=> v105(constB63))) | v120(constB63) | v105(constB63)),
% 14.87/10.08 inference(tautology,[status(thm)],[])).
% 14.87/10.08 tff(9816,plain,
% 14.87/10.08 ((~((~v120(constB63)) <=> v105(constB63))) | v120(constB63)),
% 14.87/10.08 inference(unit_resolution,[status(thm)],[9815, 7503])).
% 14.87/10.09 tff(9817,plain,
% 14.87/10.09 (v120(constB63)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9816, 9814])).
% 14.87/10.09 tff(9818,plain,
% 14.87/10.09 ((~((~v107(constB63)) | (~v120(constB63)))) | (~v107(constB63)) | (~v120(constB63))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9819,plain,
% 14.87/10.09 ((~((~v107(constB63)) | (~v120(constB63)))) | (~v107(constB63))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9818, 9817])).
% 14.87/10.09 tff(9820,plain,
% 14.87/10.09 (~((~v107(constB63)) | (~v120(constB63)))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9819, 9812])).
% 14.87/10.09 tff(9821,plain,
% 14.87/10.09 ((~(v106(constB63) <=> (~((~v107(constB63)) | (~v120(constB63)))))) | v106(constB63) | ((~v107(constB63)) | (~v120(constB63)))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9822,plain,
% 14.87/10.09 (v106(constB63)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9821, 9820, 9794])).
% 14.87/10.09 tff(9823,plain,
% 14.87/10.09 ((v105(constB63) | v106(constB63)) | (~v106(constB63))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9824,plain,
% 14.87/10.09 (v105(constB63) | v106(constB63)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9823, 9822])).
% 14.87/10.09 tff(9825,plain,
% 14.87/10.09 ((~(v102(constB63) <=> (v105(constB63) | v106(constB63)))) | v102(constB63) | (~(v105(constB63) | v106(constB63)))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9826,plain,
% 14.87/10.09 (v102(constB63)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9825, 9824, 9792])).
% 14.87/10.09 tff(9827,plain,
% 14.87/10.09 ((~(v104(constB64) <=> v102(constB63))) | v104(constB64) | (~v102(constB63))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9828,plain,
% 14.87/10.09 (v104(constB64)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9827, 9826, 9790])).
% 14.87/10.09 tff(9829,plain,
% 14.87/10.09 ((~((~v95(constB64)) | (~v104(constB64)))) | (~v95(constB64)) | (~v104(constB64))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9830,plain,
% 14.87/10.09 (~((~v95(constB64)) | (~v104(constB64)))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9829, 9828, 9786])).
% 14.87/10.09 tff(9831,plain,
% 14.87/10.09 ((~(v94(constB64) <=> (~((~v95(constB64)) | (~v104(constB64)))))) | v94(constB64) | ((~v95(constB64)) | (~v104(constB64)))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9832,plain,
% 14.87/10.09 (v94(constB64)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9831, 9830, 9758])).
% 14.87/10.09 tff(9833,plain,
% 14.87/10.09 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB64)) | (~(((~v84(constB64, 2)) <=> v123(constB64, 2)) | ((~v84(constB64, 1)) <=> v123(constB64, 1)) | ((~v84(constB64, 0)) <=> v123(constB64, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB64)) | (~(((~v84(constB64, 2)) <=> v123(constB64, 2)) | ((~v84(constB64, 1)) <=> v123(constB64, 1)) | ((~v84(constB64, 0)) <=> v123(constB64, 0)))))),
% 14.87/10.09 inference(rewrite,[status(thm)],[])).
% 14.87/10.09 tff(9834,plain,
% 14.87/10.09 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB64)) | (~(((~v84(constB64, 2)) <=> v123(constB64, 2)) | ((~v84(constB64, 1)) <=> v123(constB64, 1)) | ((~v84(constB64, 0)) <=> v123(constB64, 0)))))),
% 14.87/10.09 inference(quant_inst,[status(thm)],[])).
% 14.87/10.09 tff(9835,plain,
% 14.87/10.09 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB64)) | (~(((~v84(constB64, 2)) <=> v123(constB64, 2)) | ((~v84(constB64, 1)) <=> v123(constB64, 1)) | ((~v84(constB64, 0)) <=> v123(constB64, 0))))),
% 14.87/10.09 inference(modus_ponens,[status(thm)],[9834, 9833])).
% 14.87/10.09 tff(9836,plain,
% 14.87/10.09 ((~v94(constB64)) | (~(((~v84(constB64, 2)) <=> v123(constB64, 2)) | ((~v84(constB64, 1)) <=> v123(constB64, 1)) | ((~v84(constB64, 0)) <=> v123(constB64, 0))))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9835, 2517])).
% 14.87/10.09 tff(9837,plain,
% 14.87/10.09 (~(((~v84(constB64, 2)) <=> v123(constB64, 2)) | ((~v84(constB64, 1)) <=> v123(constB64, 1)) | ((~v84(constB64, 0)) <=> v123(constB64, 0)))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9836, 9832])).
% 14.87/10.09 tff(9838,plain,
% 14.87/10.09 ((((~v84(constB64, 2)) <=> v123(constB64, 2)) | ((~v84(constB64, 1)) <=> v123(constB64, 1)) | ((~v84(constB64, 0)) <=> v123(constB64, 0))) | (~((~v84(constB64, 2)) <=> v123(constB64, 2)))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9839,plain,
% 14.87/10.09 (~((~v84(constB64, 2)) <=> v123(constB64, 2))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9838, 9837])).
% 14.87/10.09 tff(9840,plain,
% 14.87/10.09 (((~v84(constB64, 2)) <=> v123(constB64, 2)) | v84(constB64, 2) | (~v123(constB64, 2))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9841,plain,
% 14.87/10.09 (v84(constB64, 2)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9840, 9839, 9754])).
% 14.87/10.09 tff(9842,plain,
% 14.87/10.09 (((~v84(constB65, 2)) <=> v84(constB64, 2)) | v84(constB65, 2) | (~v84(constB64, 2))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9843,plain,
% 14.87/10.09 (v84(constB65, 2)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9842, 9841, 7487])).
% 14.87/10.09 tff(9844,plain,
% 14.87/10.09 ((v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)) | (~v84(constB65, 2))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9845,plain,
% 14.87/10.09 (v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9844, 9843])).
% 14.87/10.09 tff(9846,plain,
% 14.87/10.09 ((~(v113(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2))))) | (~v113(constB65)) | (~(v84(constB65, 0) | v84(constB65, 1) | v84(constB65, 2)))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9847,plain,
% 14.87/10.09 (~v113(constB65)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9846, 9845, 7451])).
% 14.87/10.09 tff(9848,plain,
% 14.87/10.09 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))))))),
% 14.87/10.09 inference(rewrite,[status(thm)],[])).
% 14.87/10.09 tff(9849,plain,
% 14.87/10.09 ((v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 0)) | (~v84(constB65, 2))))) <=> (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))))),
% 14.87/10.09 inference(rewrite,[status(thm)],[])).
% 14.87/10.09 tff(9850,plain,
% 14.87/10.09 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 0)) | (~v84(constB65, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))))))),
% 14.87/10.09 inference(monotonicity,[status(thm)],[9849])).
% 14.87/10.09 tff(9851,plain,
% 14.87/10.09 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 0)) | (~v84(constB65, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))))))),
% 14.87/10.09 inference(transitivity,[status(thm)],[9850, 9848])).
% 14.87/10.09 tff(9852,plain,
% 14.87/10.09 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 0)) | (~v84(constB65, 2)))))),
% 14.87/10.09 inference(quant_inst,[status(thm)],[])).
% 14.87/10.09 tff(9853,plain,
% 14.87/10.09 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))))),
% 14.87/10.09 inference(modus_ponens,[status(thm)],[9852, 9851])).
% 14.87/10.09 tff(9854,plain,
% 14.87/10.09 (v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9853, 2701])).
% 14.87/10.09 tff(9855,plain,
% 14.87/10.09 ((((~v84(constB65, 1)) <=> v84(constB64, 1)) | ((~v84(constB65, 2)) <=> v84(constB64, 2)) | ((~v84(constB65, 0)) <=> v84(constB64, 0))) | (~((~v84(constB65, 1)) <=> v84(constB64, 1)))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9856,plain,
% 14.87/10.09 (~((~v84(constB65, 1)) <=> v84(constB64, 1))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9855, 7485])).
% 14.87/10.09 tff(9857,plain,
% 14.87/10.09 ((((~v123(constB64, 2)) <=> v121(constB63, 2)) | ((~v123(constB64, 1)) <=> v121(constB63, 1)) | ((~v123(constB64, 0)) <=> v121(constB63, 0))) | (~((~v123(constB64, 1)) <=> v121(constB63, 1)))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9858,plain,
% 14.87/10.09 (~((~v123(constB64, 1)) <=> v121(constB63, 1))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9857, 7494])).
% 14.87/10.09 tff(9859,plain,
% 14.87/10.09 ((((~v121(constB63, 2)) <=> v124(constB63, 2)) | ((~v121(constB63, 0)) <=> v124(constB63, 0)) | ((~v121(constB63, 1)) <=> v124(constB63, 1))) | (~((~v121(constB63, 1)) <=> v124(constB63, 1)))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9860,plain,
% 14.87/10.09 (~((~v121(constB63, 1)) <=> v124(constB63, 1))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9859, 7508])).
% 14.87/10.09 tff(9861,plain,
% 14.87/10.09 ((v124(constB63, 0) | (~v124(constB63, 2)) | (~v124(constB63, 1))) | v124(constB63, 1)),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9862,plain,
% 14.87/10.09 (v124(constB63, 1)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9861, 9748])).
% 14.87/10.09 tff(9863,plain,
% 14.87/10.09 (((~v121(constB63, 1)) <=> v124(constB63, 1)) | v121(constB63, 1) | (~v124(constB63, 1))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9864,plain,
% 14.87/10.09 (v121(constB63, 1)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9863, 9862, 9860])).
% 14.87/10.09 tff(9865,plain,
% 14.87/10.09 (((~v123(constB64, 1)) <=> v121(constB63, 1)) | v123(constB64, 1) | (~v121(constB63, 1))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9866,plain,
% 14.87/10.09 (v123(constB64, 1)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9865, 9864, 9858])).
% 14.87/10.09 tff(9867,plain,
% 14.87/10.09 ((((~v84(constB64, 2)) <=> v123(constB64, 2)) | ((~v84(constB64, 1)) <=> v123(constB64, 1)) | ((~v84(constB64, 0)) <=> v123(constB64, 0))) | (~((~v84(constB64, 1)) <=> v123(constB64, 1)))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9868,plain,
% 14.87/10.09 (~((~v84(constB64, 1)) <=> v123(constB64, 1))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9867, 9837])).
% 14.87/10.09 tff(9869,plain,
% 14.87/10.09 (((~v84(constB64, 1)) <=> v123(constB64, 1)) | v84(constB64, 1) | (~v123(constB64, 1))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9870,plain,
% 14.87/10.09 (v84(constB64, 1)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9869, 9868, 9866])).
% 14.87/10.09 tff(9871,plain,
% 14.87/10.09 (((~v84(constB65, 1)) <=> v84(constB64, 1)) | v84(constB65, 1) | (~v84(constB64, 1))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9872,plain,
% 14.87/10.09 (v84(constB65, 1)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9871, 9870, 9856])).
% 14.87/10.09 tff(9873,plain,
% 14.87/10.09 ((v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))) | (~v84(constB65, 1))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9874,plain,
% 14.87/10.09 (v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9873, 9872])).
% 14.87/10.09 tff(9875,plain,
% 14.87/10.09 ((~(v118(constB65) <=> (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0)))))) | (~v118(constB65)) | (~(v84(constB65, 1) | (~v84(constB65, 2)) | (~v84(constB65, 0))))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9876,plain,
% 14.87/10.09 (~v118(constB65)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9875, 9874, 9854])).
% 14.87/10.09 tff(9877,plain,
% 14.87/10.09 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 0) | (~v84(constB65, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 0) | (~v84(constB65, 2))))))),
% 14.87/10.09 inference(rewrite,[status(thm)],[])).
% 14.87/10.09 tff(9878,plain,
% 14.87/10.09 ((v117(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2))))) <=> (v117(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 0) | (~v84(constB65, 2)))))),
% 14.87/10.09 inference(rewrite,[status(thm)],[])).
% 14.87/10.09 tff(9879,plain,
% 14.87/10.09 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 0) | (~v84(constB65, 2))))))),
% 14.87/10.09 inference(monotonicity,[status(thm)],[9878])).
% 14.87/10.09 tff(9880,plain,
% 14.87/10.09 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 0) | (~v84(constB65, 2))))))),
% 14.87/10.09 inference(transitivity,[status(thm)],[9879, 9877])).
% 14.87/10.09 tff(9881,plain,
% 14.87/10.09 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 1) | (~v84(constB65, 2)))))),
% 14.87/10.09 inference(quant_inst,[status(thm)],[])).
% 14.87/10.09 tff(9882,plain,
% 14.87/10.09 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 0) | (~v84(constB65, 2)))))),
% 14.87/10.09 inference(modus_ponens,[status(thm)],[9881, 9880])).
% 14.87/10.09 tff(9883,plain,
% 14.87/10.09 (v117(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 0) | (~v84(constB65, 2))))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9882, 1199])).
% 14.87/10.09 tff(9884,plain,
% 14.87/10.09 ((v84(constB65, 1) | v84(constB65, 0) | (~v84(constB65, 2))) | (~v84(constB65, 1))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9885,plain,
% 14.87/10.09 (v84(constB65, 1) | v84(constB65, 0) | (~v84(constB65, 2))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9884, 9872])).
% 14.87/10.09 tff(9886,plain,
% 14.87/10.09 ((~(v117(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 0) | (~v84(constB65, 2)))))) | (~v117(constB65)) | (~(v84(constB65, 1) | v84(constB65, 0) | (~v84(constB65, 2))))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9887,plain,
% 14.87/10.09 (~v117(constB65)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9886, 9885, 9883])).
% 14.87/10.09 tff(9888,plain,
% 14.87/10.09 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB65) <=> (~(v84(constB65, 2) | (~v84(constB65, 1)) | (~v84(constB65, 0)))))),
% 14.87/10.09 inference(quant_inst,[status(thm)],[])).
% 14.87/10.09 tff(9889,plain,
% 14.87/10.09 (v116(constB65) <=> (~(v84(constB65, 2) | (~v84(constB65, 1)) | (~v84(constB65, 0))))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9888, 911])).
% 14.87/10.09 tff(9890,plain,
% 14.87/10.09 ((v84(constB65, 2) | (~v84(constB65, 1)) | (~v84(constB65, 0))) | (~v84(constB65, 2))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9891,plain,
% 14.87/10.09 (v84(constB65, 2) | (~v84(constB65, 1)) | (~v84(constB65, 0))),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9890, 9843])).
% 14.87/10.09 tff(9892,plain,
% 14.87/10.09 ((~(v116(constB65) <=> (~(v84(constB65, 2) | (~v84(constB65, 1)) | (~v84(constB65, 0)))))) | (~v116(constB65)) | (~(v84(constB65, 2) | (~v84(constB65, 1)) | (~v84(constB65, 0))))),
% 14.87/10.09 inference(tautology,[status(thm)],[])).
% 14.87/10.09 tff(9893,plain,
% 14.87/10.09 (~v116(constB65)),
% 14.87/10.09 inference(unit_resolution,[status(thm)],[9892, 9891, 9889])).
% 14.87/10.09 tff(9894,plain,
% 14.87/10.09 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 2) | v84(constB65, 0) | (~v84(constB65, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 2) | v84(constB65, 0) | (~v84(constB65, 1))))))),
% 14.87/10.09 inference(rewrite,[status(thm)],[])).
% 14.87/10.09 tff(9895,plain,
% 14.87/10.09 ((v115(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 2) | (~v84(constB65, 1))))) <=> (v115(constB65) <=> (~(v84(constB65, 2) | v84(constB65, 0) | (~v84(constB65, 1)))))),
% 14.87/10.09 inference(rewrite,[status(thm)],[])).
% 14.87/10.10 tff(9896,plain,
% 14.87/10.10 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 2) | (~v84(constB65, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 2) | v84(constB65, 0) | (~v84(constB65, 1))))))),
% 14.87/10.10 inference(monotonicity,[status(thm)],[9895])).
% 14.87/10.10 tff(9897,plain,
% 14.87/10.10 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 2) | (~v84(constB65, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 2) | v84(constB65, 0) | (~v84(constB65, 1))))))),
% 14.87/10.10 inference(transitivity,[status(thm)],[9896, 9894])).
% 14.87/10.10 tff(9898,plain,
% 14.87/10.10 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 0) | v84(constB65, 2) | (~v84(constB65, 1)))))),
% 14.87/10.10 inference(quant_inst,[status(thm)],[])).
% 14.87/10.10 tff(9899,plain,
% 14.87/10.10 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB65) <=> (~(v84(constB65, 2) | v84(constB65, 0) | (~v84(constB65, 1)))))),
% 14.87/10.10 inference(modus_ponens,[status(thm)],[9898, 9897])).
% 14.87/10.10 tff(9900,plain,
% 14.87/10.10 (v115(constB65) <=> (~(v84(constB65, 2) | v84(constB65, 0) | (~v84(constB65, 1))))),
% 14.87/10.10 inference(unit_resolution,[status(thm)],[9899, 985])).
% 14.87/10.10 tff(9901,plain,
% 14.87/10.10 ((v84(constB65, 2) | v84(constB65, 0) | (~v84(constB65, 1))) | (~v84(constB65, 2))),
% 14.87/10.10 inference(tautology,[status(thm)],[])).
% 14.87/10.10 tff(9902,plain,
% 14.87/10.10 (v84(constB65, 2) | v84(constB65, 0) | (~v84(constB65, 1))),
% 14.87/10.10 inference(unit_resolution,[status(thm)],[9901, 9843])).
% 14.87/10.10 tff(9903,plain,
% 14.87/10.10 ((~(v115(constB65) <=> (~(v84(constB65, 2) | v84(constB65, 0) | (~v84(constB65, 1)))))) | (~v115(constB65)) | (~(v84(constB65, 2) | v84(constB65, 0) | (~v84(constB65, 1))))),
% 14.87/10.10 inference(tautology,[status(thm)],[])).
% 14.87/10.10 tff(9904,plain,
% 14.87/10.10 (~v115(constB65)),
% 14.87/10.10 inference(unit_resolution,[status(thm)],[9903, 9902, 9900])).
% 14.87/10.10 tff(9905,plain,
% 14.87/10.10 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))))),
% 14.87/10.10 inference(quant_inst,[status(thm)],[])).
% 14.87/10.10 tff(9906,plain,
% 14.87/10.10 (v114(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))))),
% 14.87/10.10 inference(unit_resolution,[status(thm)],[9905, 1064])).
% 14.87/10.10 tff(9907,plain,
% 14.87/10.10 ((v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))) | (~v84(constB65, 2))),
% 14.87/10.10 inference(tautology,[status(thm)],[])).
% 14.87/10.10 tff(9908,plain,
% 14.87/10.10 (v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))),
% 14.87/10.10 inference(unit_resolution,[status(thm)],[9907, 9843])).
% 14.87/10.10 tff(9909,plain,
% 14.87/10.10 ((~(v114(constB65) <=> (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0)))))) | (~v114(constB65)) | (~(v84(constB65, 1) | v84(constB65, 2) | (~v84(constB65, 0))))),
% 14.87/10.10 inference(tautology,[status(thm)],[])).
% 14.87/10.10 tff(9910,plain,
% 14.87/10.10 (~v114(constB65)),
% 14.87/10.10 inference(unit_resolution,[status(thm)],[9909, 9908, 9906])).
% 14.87/10.10 tff(9911,plain,
% 14.87/10.10 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB65) | v114(constB65) | v115(constB65) | v116(constB65) | v117(constB65) | v118(constB65) | (~(v124(constB65, 2) | v124(constB65, 1) | (~v124(constB65, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB65) | v114(constB65) | v115(constB65) | v116(constB65) | v117(constB65) | v118(constB65) | (~(v124(constB65, 2) | v124(constB65, 1) | (~v124(constB65, 0)))))),
% 14.87/10.10 inference(rewrite,[status(thm)],[])).
% 14.87/10.10 tff(9912,plain,
% 14.87/10.10 ((v118(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65) | v113(constB65) | (~(v124(constB65, 2) | v124(constB65, 1) | (~v124(constB65, 0))))) <=> (v113(constB65) | v114(constB65) | v115(constB65) | v116(constB65) | v117(constB65) | v118(constB65) | (~(v124(constB65, 2) | v124(constB65, 1) | (~v124(constB65, 0)))))),
% 14.87/10.10 inference(rewrite,[status(thm)],[])).
% 14.87/10.10 tff(9913,plain,
% 14.87/10.10 ((~(v124(constB65, 1) | v124(constB65, 2) | (~v124(constB65, 0)))) <=> (~(v124(constB65, 2) | v124(constB65, 1) | (~v124(constB65, 0))))),
% 14.87/10.10 inference(rewrite,[status(thm)],[])).
% 14.87/10.10 tff(9914,plain,
% 14.87/10.10 ((v118(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65) | v113(constB65) | (~(v124(constB65, 1) | v124(constB65, 2) | (~v124(constB65, 0))))) <=> (v118(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65) | v113(constB65) | (~(v124(constB65, 2) | v124(constB65, 1) | (~v124(constB65, 0)))))),
% 14.87/10.10 inference(monotonicity,[status(thm)],[9913])).
% 14.87/10.10 tff(9915,plain,
% 14.87/10.10 ((v118(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65) | v113(constB65) | (~(v124(constB65, 1) | v124(constB65, 2) | (~v124(constB65, 0))))) <=> (v113(constB65) | v114(constB65) | v115(constB65) | v116(constB65) | v117(constB65) | v118(constB65) | (~(v124(constB65, 2) | v124(constB65, 1) | (~v124(constB65, 0)))))),
% 14.87/10.10 inference(transitivity,[status(thm)],[9914, 9912])).
% 14.87/10.10 tff(9916,plain,
% 14.87/10.10 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65) | v113(constB65) | (~(v124(constB65, 1) | v124(constB65, 2) | (~v124(constB65, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB65) | v114(constB65) | v115(constB65) | v116(constB65) | v117(constB65) | v118(constB65) | (~(v124(constB65, 2) | v124(constB65, 1) | (~v124(constB65, 0))))))),
% 14.87/10.10 inference(monotonicity,[status(thm)],[9915])).
% 14.87/10.10 tff(9917,plain,
% 14.87/10.10 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65) | v113(constB65) | (~(v124(constB65, 1) | v124(constB65, 2) | (~v124(constB65, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB65) | v114(constB65) | v115(constB65) | v116(constB65) | v117(constB65) | v118(constB65) | (~(v124(constB65, 2) | v124(constB65, 1) | (~v124(constB65, 0)))))),
% 14.87/10.10 inference(transitivity,[status(thm)],[9916, 9911])).
% 14.87/10.10 tff(9918,plain,
% 14.87/10.10 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB65) | v117(constB65) | v116(constB65) | v115(constB65) | v114(constB65) | v113(constB65) | (~(v124(constB65, 1) | v124(constB65, 2) | (~v124(constB65, 0)))))),
% 14.87/10.10 inference(quant_inst,[status(thm)],[])).
% 14.87/10.10 tff(9919,plain,
% 14.87/10.10 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB65) | v114(constB65) | v115(constB65) | v116(constB65) | v117(constB65) | v118(constB65) | (~(v124(constB65, 2) | v124(constB65, 1) | (~v124(constB65, 0))))),
% 14.87/10.10 inference(modus_ponens,[status(thm)],[9918, 9917])).
% 14.87/10.10 tff(9920,plain,
% 14.87/10.10 (v113(constB65) | v114(constB65) | v115(constB65) | v116(constB65) | v117(constB65) | v118(constB65) | (~(v124(constB65, 2) | v124(constB65, 1) | (~v124(constB65, 0))))),
% 14.97/10.10 inference(unit_resolution,[status(thm)],[9919, 2777])).
% 14.97/10.10 tff(9921,plain,
% 14.97/10.10 (~(v124(constB65, 2) | v124(constB65, 1) | (~v124(constB65, 0)))),
% 14.97/10.10 inference(unit_resolution,[status(thm)],[9920, 9910, 9904, 9893, 9887, 9876, 9847])).
% 14.97/10.10 tff(9922,plain,
% 14.97/10.10 ((v124(constB65, 2) | v124(constB65, 1) | (~v124(constB65, 0))) | (~v124(constB65, 2))),
% 14.97/10.10 inference(tautology,[status(thm)],[])).
% 14.97/10.10 tff(9923,plain,
% 14.97/10.10 (~v124(constB65, 2)),
% 14.97/10.10 inference(unit_resolution,[status(thm)],[9922, 9921])).
% 14.97/10.10 tff(9924,plain,
% 14.97/10.10 (((~v121(constB65, 2)) <=> v124(constB65, 2)) | (~v121(constB65, 2)) | v124(constB65, 2)),
% 14.97/10.10 inference(tautology,[status(thm)],[])).
% 14.97/10.10 tff(9925,plain,
% 14.97/10.10 (~v121(constB65, 2)),
% 14.97/10.10 inference(unit_resolution,[status(thm)],[9924, 9923, 7449])).
% 14.97/10.10 tff(9926,plain,
% 14.97/10.10 (((~v123(constB66, 2)) <=> v121(constB65, 2)) | (~v123(constB66, 2)) | v121(constB65, 2)),
% 14.97/10.10 inference(tautology,[status(thm)],[])).
% 14.97/10.10 tff(9927,plain,
% 14.97/10.10 (~v123(constB66, 2)),
% 14.97/10.10 inference(unit_resolution,[status(thm)],[9926, 9925, 7435])).
% 14.97/10.10 tff(9928,plain,
% 14.97/10.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB65, constB66)) | (v94(constB66) <=> (~((~v95(constB66)) | (~v104(constB66))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB65, constB66)) | (v94(constB66) <=> (~((~v95(constB66)) | (~v104(constB66))))))),
% 14.97/10.10 inference(rewrite,[status(thm)],[])).
% 14.97/10.10 tff(9929,plain,
% 14.97/10.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB65, constB66)) | (v94(constB66) <=> (~((~v95(constB66)) | (~v104(constB66))))))),
% 14.97/10.10 inference(quant_inst,[status(thm)],[])).
% 14.97/10.10 tff(9930,plain,
% 14.97/10.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB65, constB66)) | (v94(constB66) <=> (~((~v95(constB66)) | (~v104(constB66)))))),
% 14.97/10.10 inference(modus_ponens,[status(thm)],[9929, 9928])).
% 14.97/10.10 tff(9931,plain,
% 14.97/10.10 (v94(constB66) <=> (~((~v95(constB66)) | (~v104(constB66))))),
% 14.97/10.10 inference(unit_resolution,[status(thm)],[9930, 7429, 770])).
% 14.97/10.10 tff(9932,plain,
% 14.97/10.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66))))))),
% 14.97/10.10 inference(rewrite,[status(thm)],[])).
% 14.97/10.10 tff(9933,plain,
% 14.97/10.10 (((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v96(constB66)) | (~v1(constB66)))))) <=> ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66))))))),
% 14.97/10.10 inference(rewrite,[status(thm)],[])).
% 14.97/10.10 tff(9934,plain,
% 14.97/10.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v96(constB66)) | (~v1(constB66))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66)))))))),
% 14.97/10.10 inference(monotonicity,[status(thm)],[9933])).
% 14.97/10.10 tff(9935,plain,
% 14.97/10.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v96(constB66)) | (~v1(constB66))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66))))))),
% 14.97/10.10 inference(transitivity,[status(thm)],[9934, 9932])).
% 14.97/10.10 tff(9936,plain,
% 14.97/10.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v96(constB66)) | (~v1(constB66))))))),
% 14.97/10.10 inference(quant_inst,[status(thm)],[])).
% 14.97/10.10 tff(9937,plain,
% 14.97/10.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66)))))),
% 14.97/10.10 inference(modus_ponens,[status(thm)],[9936, 9935])).
% 14.97/10.10 tff(9938,plain,
% 14.97/10.10 (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66))))),
% 14.97/10.10 inference(unit_resolution,[status(thm)],[9937, 7429, 790])).
% 14.97/10.10 tff(9939,plain,
% 14.97/10.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB65, constB66)) | ((~v96(constB66)) <=> v98(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB65, constB66)) | ((~v96(constB66)) <=> v98(constB66)))),
% 14.97/10.10 inference(rewrite,[status(thm)],[])).
% 14.97/10.10 tff(9940,plain,
% 14.97/10.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB65, constB66)) | ((~v96(constB66)) <=> v98(constB66)))),
% 14.97/10.10 inference(quant_inst,[status(thm)],[])).
% 14.97/10.10 tff(9941,plain,
% 14.97/10.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB65, constB66)) | ((~v96(constB66)) <=> v98(constB66))),
% 14.97/10.10 inference(modus_ponens,[status(thm)],[9940, 9939])).
% 14.97/10.10 tff(9942,plain,
% 14.97/10.10 ((~v96(constB66)) <=> v98(constB66)),
% 14.97/10.10 inference(unit_resolution,[status(thm)],[9941, 7429, 2332])).
% 14.97/10.10 tff(9943,plain,
% 14.97/10.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v98(constB66) <=> v1(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v98(constB66) <=> v1(constB65)))),
% 14.97/10.10 inference(rewrite,[status(thm)],[])).
% 14.97/10.10 tff(9944,plain,
% 14.97/10.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v98(constB66) <=> v1(constB65)))),
% 14.97/10.10 inference(quant_inst,[status(thm)],[])).
% 14.97/10.10 tff(9945,plain,
% 14.97/10.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v98(constB66) <=> v1(constB65))),
% 14.97/10.10 inference(modus_ponens,[status(thm)],[9944, 9943])).
% 14.97/10.10 tff(9946,plain,
% 14.97/10.10 (v98(constB66) <=> v1(constB65)),
% 14.97/10.10 inference(unit_resolution,[status(thm)],[9945, 7429, 2346])).
% 14.97/10.10 tff(9947,plain,
% 14.97/10.10 ((~(v98(constB66) <=> v1(constB65))) | (~v98(constB66)) | v1(constB65)),
% 14.97/10.10 inference(tautology,[status(thm)],[])).
% 14.97/10.10 tff(9948,plain,
% 14.97/10.10 ((~(v98(constB66) <=> v1(constB65))) | (~v98(constB66))),
% 14.97/10.10 inference(unit_resolution,[status(thm)],[9947, 7468])).
% 14.97/10.10 tff(9949,plain,
% 14.97/10.10 (~v98(constB66)),
% 14.97/10.10 inference(unit_resolution,[status(thm)],[9948, 9946])).
% 14.97/10.10 tff(9950,plain,
% 14.97/10.10 ((~((~v96(constB66)) <=> v98(constB66))) | v96(constB66) | v98(constB66)),
% 14.97/10.10 inference(tautology,[status(thm)],[])).
% 14.97/10.10 tff(9951,plain,
% 14.97/10.10 (v96(constB66)),
% 14.97/10.10 inference(unit_resolution,[status(thm)],[9950, 9949, 9942])).
% 14.97/10.10 tff(9952,plain,
% 14.97/10.10 (v1(constB66) <=> v1(constB66)),
% 14.97/10.10 inference(rewrite,[status(thm)],[])).
% 14.97/10.10 tff(9953,axiom,(v1(constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_66')).
% 14.97/10.10 tff(9954,plain,
% 14.97/10.11 (v1(constB66)),
% 14.97/10.11 inference(modus_ponens,[status(thm)],[9953, 9952])).
% 14.97/10.11 tff(9955,plain,
% 14.97/10.11 ((~((~v1(constB66)) | (~v96(constB66)))) | (~v1(constB66)) | (~v96(constB66))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(9956,plain,
% 14.97/10.11 ((~((~v1(constB66)) | (~v96(constB66)))) | (~v96(constB66))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9955, 9954])).
% 14.97/10.11 tff(9957,plain,
% 14.97/10.11 (~((~v1(constB66)) | (~v96(constB66)))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9956, 9951])).
% 14.97/10.11 tff(9958,plain,
% 14.97/10.11 ((~(v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66)))))) | v95(constB66) | ((~v1(constB66)) | (~v96(constB66)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(9959,plain,
% 14.97/10.11 (v95(constB66)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9958, 9957, 9938])).
% 14.97/10.11 tff(9960,plain,
% 14.97/10.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v102(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v102(constB65)))),
% 14.97/10.11 inference(rewrite,[status(thm)],[])).
% 14.97/10.11 tff(9961,plain,
% 14.97/10.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v102(constB65)))),
% 14.97/10.11 inference(quant_inst,[status(thm)],[])).
% 14.97/10.11 tff(9962,plain,
% 14.97/10.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v102(constB65))),
% 14.97/10.11 inference(modus_ponens,[status(thm)],[9961, 9960])).
% 14.97/10.11 tff(9963,plain,
% 14.97/10.11 (v104(constB66) <=> v102(constB65)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9962, 7429, 2373])).
% 14.97/10.11 tff(9964,plain,
% 14.97/10.11 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB65) <=> (v105(constB65) | v106(constB65)))),
% 14.97/10.11 inference(quant_inst,[status(thm)],[])).
% 14.97/10.11 tff(9965,plain,
% 14.97/10.11 (v102(constB65) <=> (v105(constB65) | v106(constB65))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9964, 2384])).
% 14.97/10.11 tff(9966,plain,
% 14.97/10.11 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB65) <=> (~((~v107(constB65)) | (~v120(constB65)))))),
% 14.97/10.11 inference(quant_inst,[status(thm)],[])).
% 14.97/10.11 tff(9967,plain,
% 14.97/10.11 (v106(constB65) <=> (~((~v107(constB65)) | (~v120(constB65))))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9966, 2396])).
% 14.97/10.11 tff(9968,plain,
% 14.97/10.11 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB65) <=> (v108(constB65) | v119(constB65)))),
% 14.97/10.11 inference(quant_inst,[status(thm)],[])).
% 14.97/10.11 tff(9969,plain,
% 14.97/10.11 (v107(constB65) <=> (v108(constB65) | v119(constB65))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9968, 2405])).
% 14.97/10.11 tff(9970,plain,
% 14.97/10.11 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2)))))),
% 14.97/10.11 inference(quant_inst,[status(thm)],[])).
% 14.97/10.11 tff(9971,plain,
% 14.97/10.11 (v119(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2))))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9970, 2849])).
% 14.97/10.11 tff(9972,plain,
% 14.97/10.11 ((((~v84(constB65, 1)) <=> v84(constB64, 1)) | ((~v84(constB65, 2)) <=> v84(constB64, 2)) | ((~v84(constB65, 0)) <=> v84(constB64, 0))) | (~((~v84(constB65, 0)) <=> v84(constB64, 0)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(9973,plain,
% 14.97/10.11 (~((~v84(constB65, 0)) <=> v84(constB64, 0))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9972, 7485])).
% 14.97/10.11 tff(9974,plain,
% 14.97/10.11 ((((~v123(constB64, 2)) <=> v121(constB63, 2)) | ((~v123(constB64, 1)) <=> v121(constB63, 1)) | ((~v123(constB64, 0)) <=> v121(constB63, 0))) | (~((~v123(constB64, 0)) <=> v121(constB63, 0)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(9975,plain,
% 14.97/10.11 (~((~v123(constB64, 0)) <=> v121(constB63, 0))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9974, 7494])).
% 14.97/10.11 tff(9976,plain,
% 14.97/10.11 ((((~v121(constB63, 2)) <=> v124(constB63, 2)) | ((~v121(constB63, 0)) <=> v124(constB63, 0)) | ((~v121(constB63, 1)) <=> v124(constB63, 1))) | (~((~v121(constB63, 0)) <=> v124(constB63, 0)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(9977,plain,
% 14.97/10.11 (~((~v121(constB63, 0)) <=> v124(constB63, 0))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9976, 7508])).
% 14.97/10.11 tff(9978,plain,
% 14.97/10.11 ((v124(constB63, 0) | (~v124(constB63, 2)) | (~v124(constB63, 1))) | (~v124(constB63, 0))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(9979,plain,
% 14.97/10.11 (~v124(constB63, 0)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9978, 9748])).
% 14.97/10.11 tff(9980,plain,
% 14.97/10.11 (((~v121(constB63, 0)) <=> v124(constB63, 0)) | (~v121(constB63, 0)) | v124(constB63, 0)),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(9981,plain,
% 14.97/10.11 (~v121(constB63, 0)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9980, 9979, 9977])).
% 14.97/10.11 tff(9982,plain,
% 14.97/10.11 (((~v123(constB64, 0)) <=> v121(constB63, 0)) | (~v123(constB64, 0)) | v121(constB63, 0)),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(9983,plain,
% 14.97/10.11 (~v123(constB64, 0)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9982, 9981, 9975])).
% 14.97/10.11 tff(9984,plain,
% 14.97/10.11 ((((~v84(constB64, 2)) <=> v123(constB64, 2)) | ((~v84(constB64, 1)) <=> v123(constB64, 1)) | ((~v84(constB64, 0)) <=> v123(constB64, 0))) | (~((~v84(constB64, 0)) <=> v123(constB64, 0)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(9985,plain,
% 14.97/10.11 (~((~v84(constB64, 0)) <=> v123(constB64, 0))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9984, 9837])).
% 14.97/10.11 tff(9986,plain,
% 14.97/10.11 (((~v84(constB64, 0)) <=> v123(constB64, 0)) | (~v84(constB64, 0)) | v123(constB64, 0)),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(9987,plain,
% 14.97/10.11 (~v84(constB64, 0)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9986, 9985, 9983])).
% 14.97/10.11 tff(9988,plain,
% 14.97/10.11 (((~v84(constB65, 0)) <=> v84(constB64, 0)) | (~v84(constB65, 0)) | v84(constB64, 0)),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(9989,plain,
% 14.97/10.11 (~v84(constB65, 0)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9988, 9987, 9973])).
% 14.97/10.11 tff(9990,plain,
% 14.97/10.11 ((~(v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2)))) | v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(9991,plain,
% 14.97/10.11 (~(v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2)))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9990, 9872, 9989, 9843])).
% 14.97/10.11 tff(9992,plain,
% 14.97/10.11 ((~(v119(constB65) <=> (~(v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2)))))) | v119(constB65) | (v84(constB65, 0) | (~v84(constB65, 1)) | (~v84(constB65, 2)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(9993,plain,
% 14.97/10.11 (v119(constB65)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9992, 9991, 9971])).
% 14.97/10.11 tff(9994,plain,
% 14.97/10.11 ((v108(constB65) | v119(constB65)) | (~v119(constB65))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(9995,plain,
% 14.97/10.11 (v108(constB65) | v119(constB65)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9994, 9993])).
% 14.97/10.11 tff(9996,plain,
% 14.97/10.11 ((~(v107(constB65) <=> (v108(constB65) | v119(constB65)))) | v107(constB65) | (~(v108(constB65) | v119(constB65)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(9997,plain,
% 14.97/10.11 (v107(constB65)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9996, 9995, 9969])).
% 14.97/10.11 tff(9998,plain,
% 14.97/10.11 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB65)) <=> v105(constB65))),
% 14.97/10.11 inference(quant_inst,[status(thm)],[])).
% 14.97/10.11 tff(9999,plain,
% 14.97/10.11 ((~v120(constB65)) <=> v105(constB65)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[9998, 2484])).
% 14.97/10.11 tff(10000,plain,
% 14.97/10.11 ((~((~v120(constB65)) <=> v105(constB65))) | v120(constB65) | v105(constB65)),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10001,plain,
% 14.97/10.11 ((~((~v120(constB65)) <=> v105(constB65))) | v120(constB65)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10000, 7442])).
% 14.97/10.11 tff(10002,plain,
% 14.97/10.11 (v120(constB65)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10001, 9999])).
% 14.97/10.11 tff(10003,plain,
% 14.97/10.11 ((~((~v107(constB65)) | (~v120(constB65)))) | (~v107(constB65)) | (~v120(constB65))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10004,plain,
% 14.97/10.11 ((~((~v107(constB65)) | (~v120(constB65)))) | (~v107(constB65))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10003, 10002])).
% 14.97/10.11 tff(10005,plain,
% 14.97/10.11 (~((~v107(constB65)) | (~v120(constB65)))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10004, 9997])).
% 14.97/10.11 tff(10006,plain,
% 14.97/10.11 ((~(v106(constB65) <=> (~((~v107(constB65)) | (~v120(constB65)))))) | v106(constB65) | ((~v107(constB65)) | (~v120(constB65)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10007,plain,
% 14.97/10.11 (v106(constB65)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10006, 10005, 9967])).
% 14.97/10.11 tff(10008,plain,
% 14.97/10.11 ((v105(constB65) | v106(constB65)) | (~v106(constB65))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10009,plain,
% 14.97/10.11 (v105(constB65) | v106(constB65)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10008, 10007])).
% 14.97/10.11 tff(10010,plain,
% 14.97/10.11 ((~(v102(constB65) <=> (v105(constB65) | v106(constB65)))) | v102(constB65) | (~(v105(constB65) | v106(constB65)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10011,plain,
% 14.97/10.11 (v102(constB65)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10010, 10009, 9965])).
% 14.97/10.11 tff(10012,plain,
% 14.97/10.11 ((~(v104(constB66) <=> v102(constB65))) | v104(constB66) | (~v102(constB65))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10013,plain,
% 14.97/10.11 (v104(constB66)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10012, 10011, 9963])).
% 14.97/10.11 tff(10014,plain,
% 14.97/10.11 ((~((~v95(constB66)) | (~v104(constB66)))) | (~v95(constB66)) | (~v104(constB66))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10015,plain,
% 14.97/10.11 (~((~v95(constB66)) | (~v104(constB66)))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10014, 10013, 9959])).
% 14.97/10.11 tff(10016,plain,
% 14.97/10.11 ((~(v94(constB66) <=> (~((~v95(constB66)) | (~v104(constB66)))))) | v94(constB66) | ((~v95(constB66)) | (~v104(constB66)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10017,plain,
% 14.97/10.11 (v94(constB66)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10016, 10015, 9931])).
% 14.97/10.11 tff(10018,plain,
% 14.97/10.11 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB66)) | (~(((~v84(constB66, 0)) <=> v123(constB66, 0)) | ((~v84(constB66, 2)) <=> v123(constB66, 2)) | ((~v84(constB66, 1)) <=> v123(constB66, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB66)) | (~(((~v84(constB66, 0)) <=> v123(constB66, 0)) | ((~v84(constB66, 2)) <=> v123(constB66, 2)) | ((~v84(constB66, 1)) <=> v123(constB66, 1)))))),
% 14.97/10.11 inference(rewrite,[status(thm)],[])).
% 14.97/10.11 tff(10019,plain,
% 14.97/10.11 (((~v94(constB66)) | (~(((~v84(constB66, 2)) <=> v123(constB66, 2)) | ((~v84(constB66, 1)) <=> v123(constB66, 1)) | ((~v84(constB66, 0)) <=> v123(constB66, 0))))) <=> ((~v94(constB66)) | (~(((~v84(constB66, 0)) <=> v123(constB66, 0)) | ((~v84(constB66, 2)) <=> v123(constB66, 2)) | ((~v84(constB66, 1)) <=> v123(constB66, 1)))))),
% 14.97/10.11 inference(rewrite,[status(thm)],[])).
% 14.97/10.11 tff(10020,plain,
% 14.97/10.11 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB66)) | (~(((~v84(constB66, 2)) <=> v123(constB66, 2)) | ((~v84(constB66, 1)) <=> v123(constB66, 1)) | ((~v84(constB66, 0)) <=> v123(constB66, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB66)) | (~(((~v84(constB66, 0)) <=> v123(constB66, 0)) | ((~v84(constB66, 2)) <=> v123(constB66, 2)) | ((~v84(constB66, 1)) <=> v123(constB66, 1))))))),
% 14.97/10.11 inference(monotonicity,[status(thm)],[10019])).
% 14.97/10.11 tff(10021,plain,
% 14.97/10.11 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB66)) | (~(((~v84(constB66, 2)) <=> v123(constB66, 2)) | ((~v84(constB66, 1)) <=> v123(constB66, 1)) | ((~v84(constB66, 0)) <=> v123(constB66, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB66)) | (~(((~v84(constB66, 0)) <=> v123(constB66, 0)) | ((~v84(constB66, 2)) <=> v123(constB66, 2)) | ((~v84(constB66, 1)) <=> v123(constB66, 1)))))),
% 14.97/10.11 inference(transitivity,[status(thm)],[10020, 10018])).
% 14.97/10.11 tff(10022,plain,
% 14.97/10.11 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB66)) | (~(((~v84(constB66, 2)) <=> v123(constB66, 2)) | ((~v84(constB66, 1)) <=> v123(constB66, 1)) | ((~v84(constB66, 0)) <=> v123(constB66, 0)))))),
% 14.97/10.11 inference(quant_inst,[status(thm)],[])).
% 14.97/10.11 tff(10023,plain,
% 14.97/10.11 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB66)) | (~(((~v84(constB66, 0)) <=> v123(constB66, 0)) | ((~v84(constB66, 2)) <=> v123(constB66, 2)) | ((~v84(constB66, 1)) <=> v123(constB66, 1))))),
% 14.97/10.11 inference(modus_ponens,[status(thm)],[10022, 10021])).
% 14.97/10.11 tff(10024,plain,
% 14.97/10.11 ((~v94(constB66)) | (~(((~v84(constB66, 0)) <=> v123(constB66, 0)) | ((~v84(constB66, 2)) <=> v123(constB66, 2)) | ((~v84(constB66, 1)) <=> v123(constB66, 1))))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10023, 2517])).
% 14.97/10.11 tff(10025,plain,
% 14.97/10.11 (~(((~v84(constB66, 0)) <=> v123(constB66, 0)) | ((~v84(constB66, 2)) <=> v123(constB66, 2)) | ((~v84(constB66, 1)) <=> v123(constB66, 1)))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10024, 10017])).
% 14.97/10.11 tff(10026,plain,
% 14.97/10.11 ((((~v84(constB66, 0)) <=> v123(constB66, 0)) | ((~v84(constB66, 2)) <=> v123(constB66, 2)) | ((~v84(constB66, 1)) <=> v123(constB66, 1))) | (~((~v84(constB66, 2)) <=> v123(constB66, 2)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10027,plain,
% 14.97/10.11 (~((~v84(constB66, 2)) <=> v123(constB66, 2))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10026, 10025])).
% 14.97/10.11 tff(10028,plain,
% 14.97/10.11 (((~v84(constB66, 2)) <=> v123(constB66, 2)) | (~v84(constB66, 2)) | v123(constB66, 2)),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10029,plain,
% 14.97/10.11 (~v84(constB66, 2)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10028, 10027, 9927])).
% 14.97/10.11 tff(10030,plain,
% 14.97/10.11 (((~v84(constB67, 2)) <=> v84(constB66, 2)) | (~v84(constB67, 2)) | v84(constB66, 2)),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10031,plain,
% 14.97/10.11 (~v84(constB67, 2)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10030, 10029, 7426])).
% 14.97/10.11 tff(10032,plain,
% 14.97/10.11 ((((~v84(constB67, 1)) <=> v84(constB66, 1)) | ((~v84(constB67, 2)) <=> v84(constB66, 2)) | ((~v84(constB67, 0)) <=> v84(constB66, 0))) | (~((~v84(constB67, 0)) <=> v84(constB66, 0)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10033,plain,
% 14.97/10.11 (~((~v84(constB67, 0)) <=> v84(constB66, 0))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10032, 7424])).
% 14.97/10.11 tff(10034,plain,
% 14.97/10.11 ((((~v123(constB66, 2)) <=> v121(constB65, 2)) | ((~v123(constB66, 1)) <=> v121(constB65, 1)) | ((~v123(constB66, 0)) <=> v121(constB65, 0))) | (~((~v123(constB66, 0)) <=> v121(constB65, 0)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10035,plain,
% 14.97/10.11 (~((~v123(constB66, 0)) <=> v121(constB65, 0))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10034, 7433])).
% 14.97/10.11 tff(10036,plain,
% 14.97/10.11 ((((~v121(constB65, 2)) <=> v124(constB65, 2)) | ((~v121(constB65, 0)) <=> v124(constB65, 0)) | ((~v121(constB65, 1)) <=> v124(constB65, 1))) | (~((~v121(constB65, 0)) <=> v124(constB65, 0)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10037,plain,
% 14.97/10.11 (~((~v121(constB65, 0)) <=> v124(constB65, 0))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10036, 7447])).
% 14.97/10.11 tff(10038,plain,
% 14.97/10.11 ((v124(constB65, 2) | v124(constB65, 1) | (~v124(constB65, 0))) | v124(constB65, 0)),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10039,plain,
% 14.97/10.11 (v124(constB65, 0)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10038, 9921])).
% 14.97/10.11 tff(10040,plain,
% 14.97/10.11 (((~v121(constB65, 0)) <=> v124(constB65, 0)) | v121(constB65, 0) | (~v124(constB65, 0))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10041,plain,
% 14.97/10.11 (v121(constB65, 0)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10040, 10039, 10037])).
% 14.97/10.11 tff(10042,plain,
% 14.97/10.11 (((~v123(constB66, 0)) <=> v121(constB65, 0)) | v123(constB66, 0) | (~v121(constB65, 0))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10043,plain,
% 14.97/10.11 (v123(constB66, 0)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10042, 10041, 10035])).
% 14.97/10.11 tff(10044,plain,
% 14.97/10.11 ((((~v84(constB66, 0)) <=> v123(constB66, 0)) | ((~v84(constB66, 2)) <=> v123(constB66, 2)) | ((~v84(constB66, 1)) <=> v123(constB66, 1))) | (~((~v84(constB66, 0)) <=> v123(constB66, 0)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10045,plain,
% 14.97/10.11 (~((~v84(constB66, 0)) <=> v123(constB66, 0))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10044, 10025])).
% 14.97/10.11 tff(10046,plain,
% 14.97/10.11 (((~v84(constB66, 0)) <=> v123(constB66, 0)) | v84(constB66, 0) | (~v123(constB66, 0))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10047,plain,
% 14.97/10.11 (v84(constB66, 0)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10046, 10045, 10043])).
% 14.97/10.11 tff(10048,plain,
% 14.97/10.11 (((~v84(constB67, 0)) <=> v84(constB66, 0)) | v84(constB67, 0) | (~v84(constB66, 0))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10049,plain,
% 14.97/10.11 (v84(constB67, 0)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10048, 10047, 10033])).
% 14.97/10.11 tff(10050,plain,
% 14.97/10.11 ((((~v84(constB67, 1)) <=> v84(constB66, 1)) | ((~v84(constB67, 2)) <=> v84(constB66, 2)) | ((~v84(constB67, 0)) <=> v84(constB66, 0))) | (~((~v84(constB67, 1)) <=> v84(constB66, 1)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10051,plain,
% 14.97/10.11 (~((~v84(constB67, 1)) <=> v84(constB66, 1))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10050, 7424])).
% 14.97/10.11 tff(10052,plain,
% 14.97/10.11 ((((~v123(constB66, 2)) <=> v121(constB65, 2)) | ((~v123(constB66, 1)) <=> v121(constB65, 1)) | ((~v123(constB66, 0)) <=> v121(constB65, 0))) | (~((~v123(constB66, 1)) <=> v121(constB65, 1)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10053,plain,
% 14.97/10.11 (~((~v123(constB66, 1)) <=> v121(constB65, 1))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10052, 7433])).
% 14.97/10.11 tff(10054,plain,
% 14.97/10.11 ((((~v121(constB65, 2)) <=> v124(constB65, 2)) | ((~v121(constB65, 0)) <=> v124(constB65, 0)) | ((~v121(constB65, 1)) <=> v124(constB65, 1))) | (~((~v121(constB65, 1)) <=> v124(constB65, 1)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10055,plain,
% 14.97/10.11 (~((~v121(constB65, 1)) <=> v124(constB65, 1))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10054, 7447])).
% 14.97/10.11 tff(10056,plain,
% 14.97/10.11 ((v124(constB65, 2) | v124(constB65, 1) | (~v124(constB65, 0))) | (~v124(constB65, 1))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10057,plain,
% 14.97/10.11 (~v124(constB65, 1)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10056, 9921])).
% 14.97/10.11 tff(10058,plain,
% 14.97/10.11 (((~v121(constB65, 1)) <=> v124(constB65, 1)) | (~v121(constB65, 1)) | v124(constB65, 1)),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10059,plain,
% 14.97/10.11 (~v121(constB65, 1)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10058, 10057, 10055])).
% 14.97/10.11 tff(10060,plain,
% 14.97/10.11 (((~v123(constB66, 1)) <=> v121(constB65, 1)) | (~v123(constB66, 1)) | v121(constB65, 1)),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10061,plain,
% 14.97/10.11 (~v123(constB66, 1)),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10060, 10059, 10053])).
% 14.97/10.11 tff(10062,plain,
% 14.97/10.11 ((((~v84(constB66, 0)) <=> v123(constB66, 0)) | ((~v84(constB66, 2)) <=> v123(constB66, 2)) | ((~v84(constB66, 1)) <=> v123(constB66, 1))) | (~((~v84(constB66, 1)) <=> v123(constB66, 1)))),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.11 tff(10063,plain,
% 14.97/10.11 (~((~v84(constB66, 1)) <=> v123(constB66, 1))),
% 14.97/10.11 inference(unit_resolution,[status(thm)],[10062, 10025])).
% 14.97/10.11 tff(10064,plain,
% 14.97/10.11 (((~v84(constB66, 1)) <=> v123(constB66, 1)) | (~v84(constB66, 1)) | v123(constB66, 1)),
% 14.97/10.11 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10065,plain,
% 14.97/10.12 (~v84(constB66, 1)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10064, 10063, 10061])).
% 14.97/10.12 tff(10066,plain,
% 14.97/10.12 (((~v84(constB67, 1)) <=> v84(constB66, 1)) | (~v84(constB67, 1)) | v84(constB66, 1)),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10067,plain,
% 14.97/10.12 (~v84(constB67, 1)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10066, 10065, 10051])).
% 14.97/10.12 tff(10068,plain,
% 14.97/10.12 ((~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))) | v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0))),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10069,plain,
% 14.97/10.12 (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10068, 10067, 10049, 10031])).
% 14.97/10.12 tff(10070,plain,
% 14.97/10.12 ((~(v114(constB67) <=> (~(v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))))) | v114(constB67) | (v84(constB67, 1) | v84(constB67, 2) | (~v84(constB67, 0)))),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10071,plain,
% 14.97/10.12 (v114(constB67)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10070, 10069, 7390])).
% 14.97/10.12 tff(10072,plain,
% 14.97/10.12 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB67)) | (~(v124(constB67, 2) | v124(constB67, 0) | (~v124(constB67, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB67)) | (~(v124(constB67, 2) | v124(constB67, 0) | (~v124(constB67, 1)))))),
% 14.97/10.12 inference(rewrite,[status(thm)],[])).
% 14.97/10.12 tff(10073,plain,
% 14.97/10.12 (((~v114(constB67)) | (~(v124(constB67, 0) | v124(constB67, 2) | (~v124(constB67, 1))))) <=> ((~v114(constB67)) | (~(v124(constB67, 2) | v124(constB67, 0) | (~v124(constB67, 1)))))),
% 14.97/10.12 inference(rewrite,[status(thm)],[])).
% 14.97/10.12 tff(10074,plain,
% 14.97/10.12 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB67)) | (~(v124(constB67, 0) | v124(constB67, 2) | (~v124(constB67, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB67)) | (~(v124(constB67, 2) | v124(constB67, 0) | (~v124(constB67, 1))))))),
% 14.97/10.12 inference(monotonicity,[status(thm)],[10073])).
% 14.97/10.12 tff(10075,plain,
% 14.97/10.12 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB67)) | (~(v124(constB67, 0) | v124(constB67, 2) | (~v124(constB67, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB67)) | (~(v124(constB67, 2) | v124(constB67, 0) | (~v124(constB67, 1)))))),
% 14.97/10.12 inference(transitivity,[status(thm)],[10074, 10072])).
% 14.97/10.12 tff(10076,plain,
% 14.97/10.12 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB67)) | (~(v124(constB67, 0) | v124(constB67, 2) | (~v124(constB67, 1)))))),
% 14.97/10.12 inference(quant_inst,[status(thm)],[])).
% 14.97/10.12 tff(10077,plain,
% 14.97/10.12 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB67)) | (~(v124(constB67, 2) | v124(constB67, 0) | (~v124(constB67, 1))))),
% 14.97/10.12 inference(modus_ponens,[status(thm)],[10076, 10075])).
% 14.97/10.12 tff(10078,plain,
% 14.97/10.12 ((~v114(constB67)) | (~(v124(constB67, 2) | v124(constB67, 0) | (~v124(constB67, 1))))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10077, 2964])).
% 14.97/10.12 tff(10079,plain,
% 14.97/10.12 (~(v124(constB67, 2) | v124(constB67, 0) | (~v124(constB67, 1)))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10078, 10071])).
% 14.97/10.12 tff(10080,plain,
% 14.97/10.12 ((v124(constB67, 2) | v124(constB67, 0) | (~v124(constB67, 1))) | (~v124(constB67, 2))),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10081,plain,
% 14.97/10.12 (~v124(constB67, 2)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10080, 10079])).
% 14.97/10.12 tff(10082,plain,
% 14.97/10.12 (((~v121(constB67, 2)) <=> v124(constB67, 2)) | (~v121(constB67, 2)) | v124(constB67, 2)),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10083,plain,
% 14.97/10.12 (~v121(constB67, 2)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10082, 10081, 7388])).
% 14.97/10.12 tff(10084,plain,
% 14.97/10.12 (((~v123(constB68, 2)) <=> v121(constB67, 2)) | (~v123(constB68, 2)) | v121(constB67, 2)),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10085,plain,
% 14.97/10.12 (~v123(constB68, 2)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10084, 10083, 7374])).
% 14.97/10.12 tff(10086,plain,
% 14.97/10.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB67, constB68)) | (v94(constB68) <=> (~((~v95(constB68)) | (~v104(constB68))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB67, constB68)) | (v94(constB68) <=> (~((~v95(constB68)) | (~v104(constB68))))))),
% 14.97/10.12 inference(rewrite,[status(thm)],[])).
% 14.97/10.12 tff(10087,plain,
% 14.97/10.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB67, constB68)) | (v94(constB68) <=> (~((~v95(constB68)) | (~v104(constB68))))))),
% 14.97/10.12 inference(quant_inst,[status(thm)],[])).
% 14.97/10.12 tff(10088,plain,
% 14.97/10.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB67, constB68)) | (v94(constB68) <=> (~((~v95(constB68)) | (~v104(constB68)))))),
% 14.97/10.12 inference(modus_ponens,[status(thm)],[10087, 10086])).
% 14.97/10.12 tff(10089,plain,
% 14.97/10.12 (v94(constB68) <=> (~((~v95(constB68)) | (~v104(constB68))))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10088, 7368, 770])).
% 14.97/10.12 tff(10090,plain,
% 14.97/10.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68))))))),
% 14.97/10.12 inference(rewrite,[status(thm)],[])).
% 14.97/10.12 tff(10091,plain,
% 14.97/10.12 (((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v96(constB68)) | (~v1(constB68)))))) <=> ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68))))))),
% 14.97/10.12 inference(rewrite,[status(thm)],[])).
% 14.97/10.12 tff(10092,plain,
% 14.97/10.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v96(constB68)) | (~v1(constB68))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68)))))))),
% 14.97/10.12 inference(monotonicity,[status(thm)],[10091])).
% 14.97/10.12 tff(10093,plain,
% 14.97/10.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v96(constB68)) | (~v1(constB68))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68))))))),
% 14.97/10.12 inference(transitivity,[status(thm)],[10092, 10090])).
% 14.97/10.12 tff(10094,plain,
% 14.97/10.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v96(constB68)) | (~v1(constB68))))))),
% 14.97/10.12 inference(quant_inst,[status(thm)],[])).
% 14.97/10.12 tff(10095,plain,
% 14.97/10.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68)))))),
% 14.97/10.12 inference(modus_ponens,[status(thm)],[10094, 10093])).
% 14.97/10.12 tff(10096,plain,
% 14.97/10.12 (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68))))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10095, 7368, 790])).
% 14.97/10.12 tff(10097,plain,
% 14.97/10.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v96(constB68)) <=> v98(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB67, constB68)) | ((~v96(constB68)) <=> v98(constB68)))),
% 14.97/10.12 inference(rewrite,[status(thm)],[])).
% 14.97/10.12 tff(10098,plain,
% 14.97/10.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v96(constB68)) <=> v98(constB68)))),
% 14.97/10.12 inference(quant_inst,[status(thm)],[])).
% 14.97/10.12 tff(10099,plain,
% 14.97/10.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB67, constB68)) | ((~v96(constB68)) <=> v98(constB68))),
% 14.97/10.12 inference(modus_ponens,[status(thm)],[10098, 10097])).
% 14.97/10.12 tff(10100,plain,
% 14.97/10.12 ((~v96(constB68)) <=> v98(constB68)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10099, 7368, 2332])).
% 14.97/10.12 tff(10101,plain,
% 14.97/10.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v98(constB68) <=> v1(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v98(constB68) <=> v1(constB67)))),
% 14.97/10.12 inference(rewrite,[status(thm)],[])).
% 14.97/10.12 tff(10102,plain,
% 14.97/10.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v98(constB68) <=> v1(constB67)))),
% 14.97/10.12 inference(quant_inst,[status(thm)],[])).
% 14.97/10.12 tff(10103,plain,
% 14.97/10.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v98(constB68) <=> v1(constB67))),
% 14.97/10.12 inference(modus_ponens,[status(thm)],[10102, 10101])).
% 14.97/10.12 tff(10104,plain,
% 14.97/10.12 (v98(constB68) <=> v1(constB67)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10103, 7368, 2346])).
% 14.97/10.12 tff(10105,plain,
% 14.97/10.12 ((~(v98(constB68) <=> v1(constB67))) | (~v98(constB68)) | v1(constB67)),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10106,plain,
% 14.97/10.12 ((~(v98(constB68) <=> v1(constB67))) | (~v98(constB68))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10105, 7407])).
% 14.97/10.12 tff(10107,plain,
% 14.97/10.12 (~v98(constB68)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10106, 10104])).
% 14.97/10.12 tff(10108,plain,
% 14.97/10.12 ((~((~v96(constB68)) <=> v98(constB68))) | v96(constB68) | v98(constB68)),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10109,plain,
% 14.97/10.12 (v96(constB68)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10108, 10107, 10100])).
% 14.97/10.12 tff(10110,plain,
% 14.97/10.12 (v1(constB68) <=> v1(constB68)),
% 14.97/10.12 inference(rewrite,[status(thm)],[])).
% 14.97/10.12 tff(10111,axiom,(v1(constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_68')).
% 14.97/10.12 tff(10112,plain,
% 14.97/10.12 (v1(constB68)),
% 14.97/10.12 inference(modus_ponens,[status(thm)],[10111, 10110])).
% 14.97/10.12 tff(10113,plain,
% 14.97/10.12 ((~((~v1(constB68)) | (~v96(constB68)))) | (~v1(constB68)) | (~v96(constB68))),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10114,plain,
% 14.97/10.12 ((~((~v1(constB68)) | (~v96(constB68)))) | (~v96(constB68))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10113, 10112])).
% 14.97/10.12 tff(10115,plain,
% 14.97/10.12 (~((~v1(constB68)) | (~v96(constB68)))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10114, 10109])).
% 14.97/10.12 tff(10116,plain,
% 14.97/10.12 ((~(v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68)))))) | v95(constB68) | ((~v1(constB68)) | (~v96(constB68)))),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10117,plain,
% 14.97/10.12 (v95(constB68)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10116, 10115, 10096])).
% 14.97/10.12 tff(10118,plain,
% 14.97/10.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v102(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v102(constB67)))),
% 14.97/10.12 inference(rewrite,[status(thm)],[])).
% 14.97/10.12 tff(10119,plain,
% 14.97/10.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v102(constB67)))),
% 14.97/10.12 inference(quant_inst,[status(thm)],[])).
% 14.97/10.12 tff(10120,plain,
% 14.97/10.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v102(constB67))),
% 14.97/10.12 inference(modus_ponens,[status(thm)],[10119, 10118])).
% 14.97/10.12 tff(10121,plain,
% 14.97/10.12 (v104(constB68) <=> v102(constB67)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10120, 7368, 2373])).
% 14.97/10.12 tff(10122,plain,
% 14.97/10.12 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB67) <=> (v105(constB67) | v106(constB67)))),
% 14.97/10.12 inference(quant_inst,[status(thm)],[])).
% 14.97/10.12 tff(10123,plain,
% 14.97/10.12 (v102(constB67) <=> (v105(constB67) | v106(constB67))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10122, 2384])).
% 14.97/10.12 tff(10124,plain,
% 14.97/10.12 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB67) <=> (~((~v107(constB67)) | (~v120(constB67)))))),
% 14.97/10.12 inference(quant_inst,[status(thm)],[])).
% 14.97/10.12 tff(10125,plain,
% 14.97/10.12 (v106(constB67) <=> (~((~v107(constB67)) | (~v120(constB67))))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10124, 2396])).
% 14.97/10.12 tff(10126,plain,
% 14.97/10.12 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB67) <=> (v108(constB67) | v119(constB67)))),
% 14.97/10.12 inference(quant_inst,[status(thm)],[])).
% 14.97/10.12 tff(10127,plain,
% 14.97/10.12 (v107(constB67) <=> (v108(constB67) | v119(constB67))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10126, 2405])).
% 14.97/10.12 tff(10128,plain,
% 14.97/10.12 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB67) <=> (v109(constB67) | v118(constB67)))),
% 14.97/10.12 inference(quant_inst,[status(thm)],[])).
% 14.97/10.12 tff(10129,plain,
% 14.97/10.12 (v108(constB67) <=> (v109(constB67) | v118(constB67))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10128, 2414])).
% 14.97/10.12 tff(10130,plain,
% 14.97/10.12 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB67) <=> (v110(constB67) | v117(constB67)))),
% 14.97/10.12 inference(quant_inst,[status(thm)],[])).
% 14.97/10.12 tff(10131,plain,
% 14.97/10.12 (v109(constB67) <=> (v110(constB67) | v117(constB67))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10130, 2423])).
% 14.97/10.12 tff(10132,plain,
% 14.97/10.12 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB67) <=> (v111(constB67) | v116(constB67)))),
% 14.97/10.12 inference(quant_inst,[status(thm)],[])).
% 14.97/10.12 tff(10133,plain,
% 14.97/10.12 (v110(constB67) <=> (v111(constB67) | v116(constB67))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10132, 2432])).
% 14.97/10.12 tff(10134,plain,
% 14.97/10.12 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB67) <=> (v112(constB67) | v115(constB67)))),
% 14.97/10.12 inference(quant_inst,[status(thm)],[])).
% 14.97/10.12 tff(10135,plain,
% 14.97/10.12 (v111(constB67) <=> (v112(constB67) | v115(constB67))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10134, 2441])).
% 14.97/10.12 tff(10136,plain,
% 14.97/10.12 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB67) <=> (v113(constB67) | v114(constB67)))),
% 14.97/10.12 inference(quant_inst,[status(thm)],[])).
% 14.97/10.12 tff(10137,plain,
% 14.97/10.12 (v112(constB67) <=> (v113(constB67) | v114(constB67))),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10136, 2450])).
% 14.97/10.12 tff(10138,plain,
% 14.97/10.12 ((v113(constB67) | v114(constB67)) | (~v114(constB67))),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10139,plain,
% 14.97/10.12 (v113(constB67) | v114(constB67)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10138, 10071])).
% 14.97/10.12 tff(10140,plain,
% 14.97/10.12 ((~(v112(constB67) <=> (v113(constB67) | v114(constB67)))) | v112(constB67) | (~(v113(constB67) | v114(constB67)))),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10141,plain,
% 14.97/10.12 (v112(constB67)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10140, 10139, 10137])).
% 14.97/10.12 tff(10142,plain,
% 14.97/10.12 ((v112(constB67) | v115(constB67)) | (~v112(constB67))),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10143,plain,
% 14.97/10.12 (v112(constB67) | v115(constB67)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10142, 10141])).
% 14.97/10.12 tff(10144,plain,
% 14.97/10.12 ((~(v111(constB67) <=> (v112(constB67) | v115(constB67)))) | v111(constB67) | (~(v112(constB67) | v115(constB67)))),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10145,plain,
% 14.97/10.12 (v111(constB67)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10144, 10143, 10135])).
% 14.97/10.12 tff(10146,plain,
% 14.97/10.12 ((v111(constB67) | v116(constB67)) | (~v111(constB67))),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10147,plain,
% 14.97/10.12 (v111(constB67) | v116(constB67)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10146, 10145])).
% 14.97/10.12 tff(10148,plain,
% 14.97/10.12 ((~(v110(constB67) <=> (v111(constB67) | v116(constB67)))) | v110(constB67) | (~(v111(constB67) | v116(constB67)))),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10149,plain,
% 14.97/10.12 (v110(constB67)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10148, 10147, 10133])).
% 14.97/10.12 tff(10150,plain,
% 14.97/10.12 ((v110(constB67) | v117(constB67)) | (~v110(constB67))),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10151,plain,
% 14.97/10.12 (v110(constB67) | v117(constB67)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10150, 10149])).
% 14.97/10.12 tff(10152,plain,
% 14.97/10.12 ((~(v109(constB67) <=> (v110(constB67) | v117(constB67)))) | v109(constB67) | (~(v110(constB67) | v117(constB67)))),
% 14.97/10.12 inference(tautology,[status(thm)],[])).
% 14.97/10.12 tff(10153,plain,
% 14.97/10.12 (v109(constB67)),
% 14.97/10.12 inference(unit_resolution,[status(thm)],[10152, 10151, 10131])).
% 14.97/10.12 tff(10154,plain,
% 14.97/10.12 ((v109(constB67) | v118(constB67)) | (~v109(constB67))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10155,plain,
% 14.97/10.13 (v109(constB67) | v118(constB67)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10154, 10153])).
% 14.97/10.13 tff(10156,plain,
% 14.97/10.13 ((~(v108(constB67) <=> (v109(constB67) | v118(constB67)))) | v108(constB67) | (~(v109(constB67) | v118(constB67)))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10157,plain,
% 14.97/10.13 (v108(constB67)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10156, 10155, 10129])).
% 14.97/10.13 tff(10158,plain,
% 14.97/10.13 ((v108(constB67) | v119(constB67)) | (~v108(constB67))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10159,plain,
% 14.97/10.13 (v108(constB67) | v119(constB67)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10158, 10157])).
% 14.97/10.13 tff(10160,plain,
% 14.97/10.13 ((~(v107(constB67) <=> (v108(constB67) | v119(constB67)))) | v107(constB67) | (~(v108(constB67) | v119(constB67)))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10161,plain,
% 14.97/10.13 (v107(constB67)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10160, 10159, 10127])).
% 14.97/10.13 tff(10162,plain,
% 14.97/10.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB67)) <=> v105(constB67))),
% 14.97/10.13 inference(quant_inst,[status(thm)],[])).
% 14.97/10.13 tff(10163,plain,
% 14.97/10.13 ((~v120(constB67)) <=> v105(constB67)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10162, 2484])).
% 14.97/10.13 tff(10164,plain,
% 14.97/10.13 ((~((~v120(constB67)) <=> v105(constB67))) | v120(constB67) | v105(constB67)),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10165,plain,
% 14.97/10.13 ((~((~v120(constB67)) <=> v105(constB67))) | v120(constB67)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10164, 7381])).
% 14.97/10.13 tff(10166,plain,
% 14.97/10.13 (v120(constB67)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10165, 10163])).
% 14.97/10.13 tff(10167,plain,
% 14.97/10.13 ((~((~v107(constB67)) | (~v120(constB67)))) | (~v107(constB67)) | (~v120(constB67))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10168,plain,
% 14.97/10.13 ((~((~v107(constB67)) | (~v120(constB67)))) | (~v107(constB67))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10167, 10166])).
% 14.97/10.13 tff(10169,plain,
% 14.97/10.13 (~((~v107(constB67)) | (~v120(constB67)))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10168, 10161])).
% 14.97/10.13 tff(10170,plain,
% 14.97/10.13 ((~(v106(constB67) <=> (~((~v107(constB67)) | (~v120(constB67)))))) | v106(constB67) | ((~v107(constB67)) | (~v120(constB67)))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10171,plain,
% 14.97/10.13 (v106(constB67)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10170, 10169, 10125])).
% 14.97/10.13 tff(10172,plain,
% 14.97/10.13 ((v105(constB67) | v106(constB67)) | (~v106(constB67))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10173,plain,
% 14.97/10.13 (v105(constB67) | v106(constB67)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10172, 10171])).
% 14.97/10.13 tff(10174,plain,
% 14.97/10.13 ((~(v102(constB67) <=> (v105(constB67) | v106(constB67)))) | v102(constB67) | (~(v105(constB67) | v106(constB67)))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10175,plain,
% 14.97/10.13 (v102(constB67)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10174, 10173, 10123])).
% 14.97/10.13 tff(10176,plain,
% 14.97/10.13 ((~(v104(constB68) <=> v102(constB67))) | v104(constB68) | (~v102(constB67))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10177,plain,
% 14.97/10.13 (v104(constB68)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10176, 10175, 10121])).
% 14.97/10.13 tff(10178,plain,
% 14.97/10.13 ((~((~v95(constB68)) | (~v104(constB68)))) | (~v95(constB68)) | (~v104(constB68))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10179,plain,
% 14.97/10.13 (~((~v95(constB68)) | (~v104(constB68)))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10178, 10177, 10117])).
% 14.97/10.13 tff(10180,plain,
% 14.97/10.13 ((~(v94(constB68) <=> (~((~v95(constB68)) | (~v104(constB68)))))) | v94(constB68) | ((~v95(constB68)) | (~v104(constB68)))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10181,plain,
% 14.97/10.13 (v94(constB68)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10180, 10179, 10089])).
% 14.97/10.13 tff(10182,plain,
% 14.97/10.13 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB68)) | (~(((~v84(constB68, 2)) <=> v123(constB68, 2)) | ((~v84(constB68, 1)) <=> v123(constB68, 1)) | ((~v84(constB68, 0)) <=> v123(constB68, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB68)) | (~(((~v84(constB68, 2)) <=> v123(constB68, 2)) | ((~v84(constB68, 1)) <=> v123(constB68, 1)) | ((~v84(constB68, 0)) <=> v123(constB68, 0)))))),
% 14.97/10.13 inference(rewrite,[status(thm)],[])).
% 14.97/10.13 tff(10183,plain,
% 14.97/10.13 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB68)) | (~(((~v84(constB68, 2)) <=> v123(constB68, 2)) | ((~v84(constB68, 1)) <=> v123(constB68, 1)) | ((~v84(constB68, 0)) <=> v123(constB68, 0)))))),
% 14.97/10.13 inference(quant_inst,[status(thm)],[])).
% 14.97/10.13 tff(10184,plain,
% 14.97/10.13 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB68)) | (~(((~v84(constB68, 2)) <=> v123(constB68, 2)) | ((~v84(constB68, 1)) <=> v123(constB68, 1)) | ((~v84(constB68, 0)) <=> v123(constB68, 0))))),
% 14.97/10.13 inference(modus_ponens,[status(thm)],[10183, 10182])).
% 14.97/10.13 tff(10185,plain,
% 14.97/10.13 ((~v94(constB68)) | (~(((~v84(constB68, 2)) <=> v123(constB68, 2)) | ((~v84(constB68, 1)) <=> v123(constB68, 1)) | ((~v84(constB68, 0)) <=> v123(constB68, 0))))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10184, 2517])).
% 14.97/10.13 tff(10186,plain,
% 14.97/10.13 (~(((~v84(constB68, 2)) <=> v123(constB68, 2)) | ((~v84(constB68, 1)) <=> v123(constB68, 1)) | ((~v84(constB68, 0)) <=> v123(constB68, 0)))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10185, 10181])).
% 14.97/10.13 tff(10187,plain,
% 14.97/10.13 ((((~v84(constB68, 2)) <=> v123(constB68, 2)) | ((~v84(constB68, 1)) <=> v123(constB68, 1)) | ((~v84(constB68, 0)) <=> v123(constB68, 0))) | (~((~v84(constB68, 2)) <=> v123(constB68, 2)))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10188,plain,
% 14.97/10.13 (~((~v84(constB68, 2)) <=> v123(constB68, 2))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10187, 10186])).
% 14.97/10.13 tff(10189,plain,
% 14.97/10.13 (((~v84(constB68, 2)) <=> v123(constB68, 2)) | (~v84(constB68, 2)) | v123(constB68, 2)),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10190,plain,
% 14.97/10.13 (~v84(constB68, 2)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10189, 10188, 10085])).
% 14.97/10.13 tff(10191,plain,
% 14.97/10.13 (((~v84(constB69, 2)) <=> v84(constB68, 2)) | (~v84(constB69, 2)) | v84(constB68, 2)),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10192,plain,
% 14.97/10.13 (~v84(constB69, 2)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10191, 10190, 7365])).
% 14.97/10.13 tff(10193,plain,
% 14.97/10.13 ((((~v84(constB69, 1)) <=> v84(constB68, 1)) | ((~v84(constB69, 2)) <=> v84(constB68, 2)) | ((~v84(constB69, 0)) <=> v84(constB68, 0))) | (~((~v84(constB69, 0)) <=> v84(constB68, 0)))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10194,plain,
% 14.97/10.13 (~((~v84(constB69, 0)) <=> v84(constB68, 0))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10193, 7363])).
% 14.97/10.13 tff(10195,plain,
% 14.97/10.13 ((((~v123(constB68, 2)) <=> v121(constB67, 2)) | ((~v123(constB68, 1)) <=> v121(constB67, 1)) | ((~v123(constB68, 0)) <=> v121(constB67, 0))) | (~((~v123(constB68, 0)) <=> v121(constB67, 0)))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10196,plain,
% 14.97/10.13 (~((~v123(constB68, 0)) <=> v121(constB67, 0))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10195, 7372])).
% 14.97/10.13 tff(10197,plain,
% 14.97/10.13 ((((~v121(constB67, 2)) <=> v124(constB67, 2)) | ((~v121(constB67, 0)) <=> v124(constB67, 0)) | ((~v121(constB67, 1)) <=> v124(constB67, 1))) | (~((~v121(constB67, 0)) <=> v124(constB67, 0)))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10198,plain,
% 14.97/10.13 (~((~v121(constB67, 0)) <=> v124(constB67, 0))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10197, 7386])).
% 14.97/10.13 tff(10199,plain,
% 14.97/10.13 ((v124(constB67, 2) | v124(constB67, 0) | (~v124(constB67, 1))) | (~v124(constB67, 0))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10200,plain,
% 14.97/10.13 (~v124(constB67, 0)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10199, 10079])).
% 14.97/10.13 tff(10201,plain,
% 14.97/10.13 (((~v121(constB67, 0)) <=> v124(constB67, 0)) | (~v121(constB67, 0)) | v124(constB67, 0)),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10202,plain,
% 14.97/10.13 (~v121(constB67, 0)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10201, 10200, 10198])).
% 14.97/10.13 tff(10203,plain,
% 14.97/10.13 (((~v123(constB68, 0)) <=> v121(constB67, 0)) | (~v123(constB68, 0)) | v121(constB67, 0)),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10204,plain,
% 14.97/10.13 (~v123(constB68, 0)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10203, 10202, 10196])).
% 14.97/10.13 tff(10205,plain,
% 14.97/10.13 ((((~v84(constB68, 2)) <=> v123(constB68, 2)) | ((~v84(constB68, 1)) <=> v123(constB68, 1)) | ((~v84(constB68, 0)) <=> v123(constB68, 0))) | (~((~v84(constB68, 0)) <=> v123(constB68, 0)))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10206,plain,
% 14.97/10.13 (~((~v84(constB68, 0)) <=> v123(constB68, 0))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10205, 10186])).
% 14.97/10.13 tff(10207,plain,
% 14.97/10.13 (((~v84(constB68, 0)) <=> v123(constB68, 0)) | (~v84(constB68, 0)) | v123(constB68, 0)),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10208,plain,
% 14.97/10.13 (~v84(constB68, 0)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10207, 10206, 10204])).
% 14.97/10.13 tff(10209,plain,
% 14.97/10.13 (((~v84(constB69, 0)) <=> v84(constB68, 0)) | (~v84(constB69, 0)) | v84(constB68, 0)),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10210,plain,
% 14.97/10.13 (~v84(constB69, 0)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10209, 10208, 10194])).
% 14.97/10.13 tff(10211,plain,
% 14.97/10.13 ((((~v84(constB69, 1)) <=> v84(constB68, 1)) | ((~v84(constB69, 2)) <=> v84(constB68, 2)) | ((~v84(constB69, 0)) <=> v84(constB68, 0))) | (~((~v84(constB69, 1)) <=> v84(constB68, 1)))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10212,plain,
% 14.97/10.13 (~((~v84(constB69, 1)) <=> v84(constB68, 1))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10211, 7363])).
% 14.97/10.13 tff(10213,plain,
% 14.97/10.13 ((((~v123(constB68, 2)) <=> v121(constB67, 2)) | ((~v123(constB68, 1)) <=> v121(constB67, 1)) | ((~v123(constB68, 0)) <=> v121(constB67, 0))) | (~((~v123(constB68, 1)) <=> v121(constB67, 1)))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10214,plain,
% 14.97/10.13 (~((~v123(constB68, 1)) <=> v121(constB67, 1))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10213, 7372])).
% 14.97/10.13 tff(10215,plain,
% 14.97/10.13 ((((~v121(constB67, 2)) <=> v124(constB67, 2)) | ((~v121(constB67, 0)) <=> v124(constB67, 0)) | ((~v121(constB67, 1)) <=> v124(constB67, 1))) | (~((~v121(constB67, 1)) <=> v124(constB67, 1)))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10216,plain,
% 14.97/10.13 (~((~v121(constB67, 1)) <=> v124(constB67, 1))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10215, 7386])).
% 14.97/10.13 tff(10217,plain,
% 14.97/10.13 ((v124(constB67, 2) | v124(constB67, 0) | (~v124(constB67, 1))) | v124(constB67, 1)),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10218,plain,
% 14.97/10.13 (v124(constB67, 1)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10217, 10079])).
% 14.97/10.13 tff(10219,plain,
% 14.97/10.13 (((~v121(constB67, 1)) <=> v124(constB67, 1)) | v121(constB67, 1) | (~v124(constB67, 1))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10220,plain,
% 14.97/10.13 (v121(constB67, 1)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10219, 10218, 10216])).
% 14.97/10.13 tff(10221,plain,
% 14.97/10.13 (((~v123(constB68, 1)) <=> v121(constB67, 1)) | v123(constB68, 1) | (~v121(constB67, 1))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10222,plain,
% 14.97/10.13 (v123(constB68, 1)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10221, 10220, 10214])).
% 14.97/10.13 tff(10223,plain,
% 14.97/10.13 ((((~v84(constB68, 2)) <=> v123(constB68, 2)) | ((~v84(constB68, 1)) <=> v123(constB68, 1)) | ((~v84(constB68, 0)) <=> v123(constB68, 0))) | (~((~v84(constB68, 1)) <=> v123(constB68, 1)))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10224,plain,
% 14.97/10.13 (~((~v84(constB68, 1)) <=> v123(constB68, 1))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10223, 10186])).
% 14.97/10.13 tff(10225,plain,
% 14.97/10.13 (((~v84(constB68, 1)) <=> v123(constB68, 1)) | v84(constB68, 1) | (~v123(constB68, 1))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10226,plain,
% 14.97/10.13 (v84(constB68, 1)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10225, 10224, 10222])).
% 14.97/10.13 tff(10227,plain,
% 14.97/10.13 (((~v84(constB69, 1)) <=> v84(constB68, 1)) | v84(constB69, 1) | (~v84(constB68, 1))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10228,plain,
% 14.97/10.13 (v84(constB69, 1)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10227, 10226, 10212])).
% 14.97/10.13 tff(10229,plain,
% 14.97/10.13 ((~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))) | v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10230,plain,
% 14.97/10.13 (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10229, 10228, 10210, 10192])).
% 14.97/10.13 tff(10231,plain,
% 14.97/10.13 ((~(v115(constB69) <=> (~(v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))))) | v115(constB69) | (v84(constB69, 2) | v84(constB69, 0) | (~v84(constB69, 1)))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10232,plain,
% 14.97/10.13 (v115(constB69)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10231, 10230, 7329])).
% 14.97/10.13 tff(10233,plain,
% 14.97/10.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB69)) | (~(v124(constB69, 2) | (~v124(constB69, 0)) | (~v124(constB69, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB69)) | (~(v124(constB69, 2) | (~v124(constB69, 0)) | (~v124(constB69, 1)))))),
% 14.97/10.13 inference(rewrite,[status(thm)],[])).
% 14.97/10.13 tff(10234,plain,
% 14.97/10.13 (((~v115(constB69)) | (~(v124(constB69, 2) | (~v124(constB69, 1)) | (~v124(constB69, 0))))) <=> ((~v115(constB69)) | (~(v124(constB69, 2) | (~v124(constB69, 0)) | (~v124(constB69, 1)))))),
% 14.97/10.13 inference(rewrite,[status(thm)],[])).
% 14.97/10.13 tff(10235,plain,
% 14.97/10.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB69)) | (~(v124(constB69, 2) | (~v124(constB69, 1)) | (~v124(constB69, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB69)) | (~(v124(constB69, 2) | (~v124(constB69, 0)) | (~v124(constB69, 1))))))),
% 14.97/10.13 inference(monotonicity,[status(thm)],[10234])).
% 14.97/10.13 tff(10236,plain,
% 14.97/10.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB69)) | (~(v124(constB69, 2) | (~v124(constB69, 1)) | (~v124(constB69, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB69)) | (~(v124(constB69, 2) | (~v124(constB69, 0)) | (~v124(constB69, 1)))))),
% 14.97/10.13 inference(transitivity,[status(thm)],[10235, 10233])).
% 14.97/10.13 tff(10237,plain,
% 14.97/10.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB69)) | (~(v124(constB69, 2) | (~v124(constB69, 1)) | (~v124(constB69, 0)))))),
% 14.97/10.13 inference(quant_inst,[status(thm)],[])).
% 14.97/10.13 tff(10238,plain,
% 14.97/10.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB69)) | (~(v124(constB69, 2) | (~v124(constB69, 0)) | (~v124(constB69, 1))))),
% 14.97/10.13 inference(modus_ponens,[status(thm)],[10237, 10236])).
% 14.97/10.13 tff(10239,plain,
% 14.97/10.13 ((~v115(constB69)) | (~(v124(constB69, 2) | (~v124(constB69, 0)) | (~v124(constB69, 1))))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10238, 3138])).
% 14.97/10.13 tff(10240,plain,
% 14.97/10.13 (~(v124(constB69, 2) | (~v124(constB69, 0)) | (~v124(constB69, 1)))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10239, 10232])).
% 14.97/10.13 tff(10241,plain,
% 14.97/10.13 ((v124(constB69, 2) | (~v124(constB69, 0)) | (~v124(constB69, 1))) | (~v124(constB69, 2))),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10242,plain,
% 14.97/10.13 (~v124(constB69, 2)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10241, 10240])).
% 14.97/10.13 tff(10243,plain,
% 14.97/10.13 (((~v121(constB69, 2)) <=> v124(constB69, 2)) | (~v121(constB69, 2)) | v124(constB69, 2)),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10244,plain,
% 14.97/10.13 (~v121(constB69, 2)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10243, 10242, 7322])).
% 14.97/10.13 tff(10245,plain,
% 14.97/10.13 (((~v123(constB70, 2)) <=> v121(constB69, 2)) | (~v123(constB70, 2)) | v121(constB69, 2)),
% 14.97/10.13 inference(tautology,[status(thm)],[])).
% 14.97/10.13 tff(10246,plain,
% 14.97/10.13 (~v123(constB70, 2)),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10245, 10244, 7308])).
% 14.97/10.13 tff(10247,plain,
% 14.97/10.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB69, constB70)) | (v94(constB70) <=> (~((~v95(constB70)) | (~v104(constB70))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB69, constB70)) | (v94(constB70) <=> (~((~v95(constB70)) | (~v104(constB70))))))),
% 14.97/10.13 inference(rewrite,[status(thm)],[])).
% 14.97/10.13 tff(10248,plain,
% 14.97/10.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB69, constB70)) | (v94(constB70) <=> (~((~v95(constB70)) | (~v104(constB70))))))),
% 14.97/10.13 inference(quant_inst,[status(thm)],[])).
% 14.97/10.13 tff(10249,plain,
% 14.97/10.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB69, constB70)) | (v94(constB70) <=> (~((~v95(constB70)) | (~v104(constB70)))))),
% 14.97/10.13 inference(modus_ponens,[status(thm)],[10248, 10247])).
% 14.97/10.13 tff(10250,plain,
% 14.97/10.13 (v94(constB70) <=> (~((~v95(constB70)) | (~v104(constB70))))),
% 14.97/10.13 inference(unit_resolution,[status(thm)],[10249, 7302, 770])).
% 14.97/10.13 tff(10251,plain,
% 14.97/10.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70))))))),
% 14.97/10.14 inference(rewrite,[status(thm)],[])).
% 14.97/10.14 tff(10252,plain,
% 14.97/10.14 (((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v96(constB70)) | (~v1(constB70)))))) <=> ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70))))))),
% 14.97/10.14 inference(rewrite,[status(thm)],[])).
% 14.97/10.14 tff(10253,plain,
% 14.97/10.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v96(constB70)) | (~v1(constB70))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70)))))))),
% 14.97/10.14 inference(monotonicity,[status(thm)],[10252])).
% 14.97/10.14 tff(10254,plain,
% 14.97/10.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v96(constB70)) | (~v1(constB70))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70))))))),
% 14.97/10.14 inference(transitivity,[status(thm)],[10253, 10251])).
% 14.97/10.14 tff(10255,plain,
% 14.97/10.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v96(constB70)) | (~v1(constB70))))))),
% 14.97/10.14 inference(quant_inst,[status(thm)],[])).
% 14.97/10.14 tff(10256,plain,
% 14.97/10.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70)))))),
% 14.97/10.14 inference(modus_ponens,[status(thm)],[10255, 10254])).
% 14.97/10.14 tff(10257,plain,
% 14.97/10.14 (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70))))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10256, 7302, 790])).
% 14.97/10.14 tff(10258,plain,
% 14.97/10.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB69, constB70)) | ((~v96(constB70)) <=> v98(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB69, constB70)) | ((~v96(constB70)) <=> v98(constB70)))),
% 14.97/10.14 inference(rewrite,[status(thm)],[])).
% 14.97/10.14 tff(10259,plain,
% 14.97/10.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB69, constB70)) | ((~v96(constB70)) <=> v98(constB70)))),
% 14.97/10.14 inference(quant_inst,[status(thm)],[])).
% 14.97/10.14 tff(10260,plain,
% 14.97/10.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB69, constB70)) | ((~v96(constB70)) <=> v98(constB70))),
% 14.97/10.14 inference(modus_ponens,[status(thm)],[10259, 10258])).
% 14.97/10.14 tff(10261,plain,
% 14.97/10.14 ((~v96(constB70)) <=> v98(constB70)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10260, 7302, 2332])).
% 14.97/10.14 tff(10262,plain,
% 14.97/10.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v98(constB70) <=> v1(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v98(constB70) <=> v1(constB69)))),
% 14.97/10.14 inference(rewrite,[status(thm)],[])).
% 14.97/10.14 tff(10263,plain,
% 14.97/10.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v98(constB70) <=> v1(constB69)))),
% 14.97/10.14 inference(quant_inst,[status(thm)],[])).
% 14.97/10.14 tff(10264,plain,
% 14.97/10.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v98(constB70) <=> v1(constB69))),
% 14.97/10.14 inference(modus_ponens,[status(thm)],[10263, 10262])).
% 14.97/10.14 tff(10265,plain,
% 14.97/10.14 (v98(constB70) <=> v1(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10264, 7302, 2346])).
% 14.97/10.14 tff(10266,plain,
% 14.97/10.14 ((~(v98(constB70) <=> v1(constB69))) | (~v98(constB70)) | v1(constB69)),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10267,plain,
% 14.97/10.14 ((~(v98(constB70) <=> v1(constB69))) | (~v98(constB70))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10266, 7346])).
% 14.97/10.14 tff(10268,plain,
% 14.97/10.14 (~v98(constB70)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10267, 10265])).
% 14.97/10.14 tff(10269,plain,
% 14.97/10.14 ((~((~v96(constB70)) <=> v98(constB70))) | v96(constB70) | v98(constB70)),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10270,plain,
% 14.97/10.14 (v96(constB70)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10269, 10268, 10261])).
% 14.97/10.14 tff(10271,plain,
% 14.97/10.14 (v1(constB70) <=> v1(constB70)),
% 14.97/10.14 inference(rewrite,[status(thm)],[])).
% 14.97/10.14 tff(10272,axiom,(v1(constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_70')).
% 14.97/10.14 tff(10273,plain,
% 14.97/10.14 (v1(constB70)),
% 14.97/10.14 inference(modus_ponens,[status(thm)],[10272, 10271])).
% 14.97/10.14 tff(10274,plain,
% 14.97/10.14 ((~((~v1(constB70)) | (~v96(constB70)))) | (~v1(constB70)) | (~v96(constB70))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10275,plain,
% 14.97/10.14 ((~((~v1(constB70)) | (~v96(constB70)))) | (~v96(constB70))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10274, 10273])).
% 14.97/10.14 tff(10276,plain,
% 14.97/10.14 (~((~v1(constB70)) | (~v96(constB70)))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10275, 10270])).
% 14.97/10.14 tff(10277,plain,
% 14.97/10.14 ((~(v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70)))))) | v95(constB70) | ((~v1(constB70)) | (~v96(constB70)))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10278,plain,
% 14.97/10.14 (v95(constB70)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10277, 10276, 10257])).
% 14.97/10.14 tff(10279,plain,
% 14.97/10.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v102(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v102(constB69)))),
% 14.97/10.14 inference(rewrite,[status(thm)],[])).
% 14.97/10.14 tff(10280,plain,
% 14.97/10.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v102(constB69)))),
% 14.97/10.14 inference(quant_inst,[status(thm)],[])).
% 14.97/10.14 tff(10281,plain,
% 14.97/10.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v102(constB69))),
% 14.97/10.14 inference(modus_ponens,[status(thm)],[10280, 10279])).
% 14.97/10.14 tff(10282,plain,
% 14.97/10.14 (v104(constB70) <=> v102(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10281, 7302, 2373])).
% 14.97/10.14 tff(10283,plain,
% 14.97/10.14 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB69) <=> (v105(constB69) | v106(constB69)))),
% 14.97/10.14 inference(quant_inst,[status(thm)],[])).
% 14.97/10.14 tff(10284,plain,
% 14.97/10.14 (v102(constB69) <=> (v105(constB69) | v106(constB69))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10283, 2384])).
% 14.97/10.14 tff(10285,plain,
% 14.97/10.14 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB69) <=> (~((~v107(constB69)) | (~v120(constB69)))))),
% 14.97/10.14 inference(quant_inst,[status(thm)],[])).
% 14.97/10.14 tff(10286,plain,
% 14.97/10.14 (v106(constB69) <=> (~((~v107(constB69)) | (~v120(constB69))))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10285, 2396])).
% 14.97/10.14 tff(10287,plain,
% 14.97/10.14 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB69) <=> (v108(constB69) | v119(constB69)))),
% 14.97/10.14 inference(quant_inst,[status(thm)],[])).
% 14.97/10.14 tff(10288,plain,
% 14.97/10.14 (v107(constB69) <=> (v108(constB69) | v119(constB69))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10287, 2405])).
% 14.97/10.14 tff(10289,plain,
% 14.97/10.14 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB69) <=> (v109(constB69) | v118(constB69)))),
% 14.97/10.14 inference(quant_inst,[status(thm)],[])).
% 14.97/10.14 tff(10290,plain,
% 14.97/10.14 (v108(constB69) <=> (v109(constB69) | v118(constB69))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10289, 2414])).
% 14.97/10.14 tff(10291,plain,
% 14.97/10.14 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB69) <=> (v110(constB69) | v117(constB69)))),
% 14.97/10.14 inference(quant_inst,[status(thm)],[])).
% 14.97/10.14 tff(10292,plain,
% 14.97/10.14 (v109(constB69) <=> (v110(constB69) | v117(constB69))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10291, 2423])).
% 14.97/10.14 tff(10293,plain,
% 14.97/10.14 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB69) <=> (v111(constB69) | v116(constB69)))),
% 14.97/10.14 inference(quant_inst,[status(thm)],[])).
% 14.97/10.14 tff(10294,plain,
% 14.97/10.14 (v110(constB69) <=> (v111(constB69) | v116(constB69))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10293, 2432])).
% 14.97/10.14 tff(10295,plain,
% 14.97/10.14 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB69) <=> (v112(constB69) | v115(constB69)))),
% 14.97/10.14 inference(quant_inst,[status(thm)],[])).
% 14.97/10.14 tff(10296,plain,
% 14.97/10.14 (v111(constB69) <=> (v112(constB69) | v115(constB69))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10295, 2441])).
% 14.97/10.14 tff(10297,plain,
% 14.97/10.14 ((v112(constB69) | v115(constB69)) | (~v115(constB69))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10298,plain,
% 14.97/10.14 (v112(constB69) | v115(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10297, 10232])).
% 14.97/10.14 tff(10299,plain,
% 14.97/10.14 ((~(v111(constB69) <=> (v112(constB69) | v115(constB69)))) | v111(constB69) | (~(v112(constB69) | v115(constB69)))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10300,plain,
% 14.97/10.14 (v111(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10299, 10298, 10296])).
% 14.97/10.14 tff(10301,plain,
% 14.97/10.14 ((v111(constB69) | v116(constB69)) | (~v111(constB69))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10302,plain,
% 14.97/10.14 (v111(constB69) | v116(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10301, 10300])).
% 14.97/10.14 tff(10303,plain,
% 14.97/10.14 ((~(v110(constB69) <=> (v111(constB69) | v116(constB69)))) | v110(constB69) | (~(v111(constB69) | v116(constB69)))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10304,plain,
% 14.97/10.14 (v110(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10303, 10302, 10294])).
% 14.97/10.14 tff(10305,plain,
% 14.97/10.14 ((v110(constB69) | v117(constB69)) | (~v110(constB69))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10306,plain,
% 14.97/10.14 (v110(constB69) | v117(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10305, 10304])).
% 14.97/10.14 tff(10307,plain,
% 14.97/10.14 ((~(v109(constB69) <=> (v110(constB69) | v117(constB69)))) | v109(constB69) | (~(v110(constB69) | v117(constB69)))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10308,plain,
% 14.97/10.14 (v109(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10307, 10306, 10292])).
% 14.97/10.14 tff(10309,plain,
% 14.97/10.14 ((v109(constB69) | v118(constB69)) | (~v109(constB69))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10310,plain,
% 14.97/10.14 (v109(constB69) | v118(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10309, 10308])).
% 14.97/10.14 tff(10311,plain,
% 14.97/10.14 ((~(v108(constB69) <=> (v109(constB69) | v118(constB69)))) | v108(constB69) | (~(v109(constB69) | v118(constB69)))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10312,plain,
% 14.97/10.14 (v108(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10311, 10310, 10290])).
% 14.97/10.14 tff(10313,plain,
% 14.97/10.14 ((v108(constB69) | v119(constB69)) | (~v108(constB69))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10314,plain,
% 14.97/10.14 (v108(constB69) | v119(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10313, 10312])).
% 14.97/10.14 tff(10315,plain,
% 14.97/10.14 ((~(v107(constB69) <=> (v108(constB69) | v119(constB69)))) | v107(constB69) | (~(v108(constB69) | v119(constB69)))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10316,plain,
% 14.97/10.14 (v107(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10315, 10314, 10288])).
% 14.97/10.14 tff(10317,plain,
% 14.97/10.14 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB69)) <=> v105(constB69))),
% 14.97/10.14 inference(quant_inst,[status(thm)],[])).
% 14.97/10.14 tff(10318,plain,
% 14.97/10.14 ((~v120(constB69)) <=> v105(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10317, 2484])).
% 14.97/10.14 tff(10319,plain,
% 14.97/10.14 ((~((~v120(constB69)) <=> v105(constB69))) | v120(constB69) | v105(constB69)),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10320,plain,
% 14.97/10.14 ((~((~v120(constB69)) <=> v105(constB69))) | v120(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10319, 7315])).
% 14.97/10.14 tff(10321,plain,
% 14.97/10.14 (v120(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10320, 10318])).
% 14.97/10.14 tff(10322,plain,
% 14.97/10.14 ((~((~v107(constB69)) | (~v120(constB69)))) | (~v107(constB69)) | (~v120(constB69))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10323,plain,
% 14.97/10.14 ((~((~v107(constB69)) | (~v120(constB69)))) | (~v107(constB69))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10322, 10321])).
% 14.97/10.14 tff(10324,plain,
% 14.97/10.14 (~((~v107(constB69)) | (~v120(constB69)))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10323, 10316])).
% 14.97/10.14 tff(10325,plain,
% 14.97/10.14 ((~(v106(constB69) <=> (~((~v107(constB69)) | (~v120(constB69)))))) | v106(constB69) | ((~v107(constB69)) | (~v120(constB69)))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10326,plain,
% 14.97/10.14 (v106(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10325, 10324, 10286])).
% 14.97/10.14 tff(10327,plain,
% 14.97/10.14 ((v105(constB69) | v106(constB69)) | (~v106(constB69))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10328,plain,
% 14.97/10.14 (v105(constB69) | v106(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10327, 10326])).
% 14.97/10.14 tff(10329,plain,
% 14.97/10.14 ((~(v102(constB69) <=> (v105(constB69) | v106(constB69)))) | v102(constB69) | (~(v105(constB69) | v106(constB69)))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10330,plain,
% 14.97/10.14 (v102(constB69)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10329, 10328, 10284])).
% 14.97/10.14 tff(10331,plain,
% 14.97/10.14 ((~(v104(constB70) <=> v102(constB69))) | v104(constB70) | (~v102(constB69))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10332,plain,
% 14.97/10.14 (v104(constB70)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10331, 10330, 10282])).
% 14.97/10.14 tff(10333,plain,
% 14.97/10.14 ((~((~v95(constB70)) | (~v104(constB70)))) | (~v95(constB70)) | (~v104(constB70))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10334,plain,
% 14.97/10.14 (~((~v95(constB70)) | (~v104(constB70)))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10333, 10332, 10278])).
% 14.97/10.14 tff(10335,plain,
% 14.97/10.14 ((~(v94(constB70) <=> (~((~v95(constB70)) | (~v104(constB70)))))) | v94(constB70) | ((~v95(constB70)) | (~v104(constB70)))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10336,plain,
% 14.97/10.14 (v94(constB70)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10335, 10334, 10250])).
% 14.97/10.14 tff(10337,plain,
% 14.97/10.14 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB70)) | (~(((~v84(constB70, 0)) <=> v123(constB70, 0)) | ((~v84(constB70, 2)) <=> v123(constB70, 2)) | ((~v84(constB70, 1)) <=> v123(constB70, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB70)) | (~(((~v84(constB70, 0)) <=> v123(constB70, 0)) | ((~v84(constB70, 2)) <=> v123(constB70, 2)) | ((~v84(constB70, 1)) <=> v123(constB70, 1)))))),
% 14.97/10.14 inference(rewrite,[status(thm)],[])).
% 14.97/10.14 tff(10338,plain,
% 14.97/10.14 (((~v94(constB70)) | (~(((~v84(constB70, 2)) <=> v123(constB70, 2)) | ((~v84(constB70, 1)) <=> v123(constB70, 1)) | ((~v84(constB70, 0)) <=> v123(constB70, 0))))) <=> ((~v94(constB70)) | (~(((~v84(constB70, 0)) <=> v123(constB70, 0)) | ((~v84(constB70, 2)) <=> v123(constB70, 2)) | ((~v84(constB70, 1)) <=> v123(constB70, 1)))))),
% 14.97/10.14 inference(rewrite,[status(thm)],[])).
% 14.97/10.14 tff(10339,plain,
% 14.97/10.14 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB70)) | (~(((~v84(constB70, 2)) <=> v123(constB70, 2)) | ((~v84(constB70, 1)) <=> v123(constB70, 1)) | ((~v84(constB70, 0)) <=> v123(constB70, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB70)) | (~(((~v84(constB70, 0)) <=> v123(constB70, 0)) | ((~v84(constB70, 2)) <=> v123(constB70, 2)) | ((~v84(constB70, 1)) <=> v123(constB70, 1))))))),
% 14.97/10.14 inference(monotonicity,[status(thm)],[10338])).
% 14.97/10.14 tff(10340,plain,
% 14.97/10.14 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB70)) | (~(((~v84(constB70, 2)) <=> v123(constB70, 2)) | ((~v84(constB70, 1)) <=> v123(constB70, 1)) | ((~v84(constB70, 0)) <=> v123(constB70, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB70)) | (~(((~v84(constB70, 0)) <=> v123(constB70, 0)) | ((~v84(constB70, 2)) <=> v123(constB70, 2)) | ((~v84(constB70, 1)) <=> v123(constB70, 1)))))),
% 14.97/10.14 inference(transitivity,[status(thm)],[10339, 10337])).
% 14.97/10.14 tff(10341,plain,
% 14.97/10.14 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB70)) | (~(((~v84(constB70, 2)) <=> v123(constB70, 2)) | ((~v84(constB70, 1)) <=> v123(constB70, 1)) | ((~v84(constB70, 0)) <=> v123(constB70, 0)))))),
% 14.97/10.14 inference(quant_inst,[status(thm)],[])).
% 14.97/10.14 tff(10342,plain,
% 14.97/10.14 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB70)) | (~(((~v84(constB70, 0)) <=> v123(constB70, 0)) | ((~v84(constB70, 2)) <=> v123(constB70, 2)) | ((~v84(constB70, 1)) <=> v123(constB70, 1))))),
% 14.97/10.14 inference(modus_ponens,[status(thm)],[10341, 10340])).
% 14.97/10.14 tff(10343,plain,
% 14.97/10.14 ((~v94(constB70)) | (~(((~v84(constB70, 0)) <=> v123(constB70, 0)) | ((~v84(constB70, 2)) <=> v123(constB70, 2)) | ((~v84(constB70, 1)) <=> v123(constB70, 1))))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10342, 2517])).
% 14.97/10.14 tff(10344,plain,
% 14.97/10.14 (~(((~v84(constB70, 0)) <=> v123(constB70, 0)) | ((~v84(constB70, 2)) <=> v123(constB70, 2)) | ((~v84(constB70, 1)) <=> v123(constB70, 1)))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10343, 10336])).
% 14.97/10.14 tff(10345,plain,
% 14.97/10.14 ((((~v84(constB70, 0)) <=> v123(constB70, 0)) | ((~v84(constB70, 2)) <=> v123(constB70, 2)) | ((~v84(constB70, 1)) <=> v123(constB70, 1))) | (~((~v84(constB70, 2)) <=> v123(constB70, 2)))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10346,plain,
% 14.97/10.14 (~((~v84(constB70, 2)) <=> v123(constB70, 2))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10345, 10344])).
% 14.97/10.14 tff(10347,plain,
% 14.97/10.14 (((~v84(constB70, 2)) <=> v123(constB70, 2)) | (~v84(constB70, 2)) | v123(constB70, 2)),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10348,plain,
% 14.97/10.14 (~v84(constB70, 2)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10347, 10346, 10246])).
% 14.97/10.14 tff(10349,plain,
% 14.97/10.14 (((~v84(constB71, 2)) <=> v84(constB70, 2)) | (~v84(constB71, 2)) | v84(constB70, 2)),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10350,plain,
% 14.97/10.14 (~v84(constB71, 2)),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10349, 10348, 7299])).
% 14.97/10.14 tff(10351,plain,
% 14.97/10.14 ((((~v84(constB71, 1)) <=> v84(constB70, 1)) | ((~v84(constB71, 2)) <=> v84(constB70, 2)) | ((~v84(constB71, 0)) <=> v84(constB70, 0))) | (~((~v84(constB71, 0)) <=> v84(constB70, 0)))),
% 14.97/10.14 inference(tautology,[status(thm)],[])).
% 14.97/10.14 tff(10352,plain,
% 14.97/10.14 (~((~v84(constB71, 0)) <=> v84(constB70, 0))),
% 14.97/10.14 inference(unit_resolution,[status(thm)],[10351, 7297])).
% 14.97/10.14 tff(10353,plain,
% 14.97/10.15 ((((~v123(constB70, 2)) <=> v121(constB69, 2)) | ((~v123(constB70, 1)) <=> v121(constB69, 1)) | ((~v123(constB70, 0)) <=> v121(constB69, 0))) | (~((~v123(constB70, 0)) <=> v121(constB69, 0)))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10354,plain,
% 14.97/10.15 (~((~v123(constB70, 0)) <=> v121(constB69, 0))),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10353, 7306])).
% 14.97/10.15 tff(10355,plain,
% 14.97/10.15 ((((~v121(constB69, 2)) <=> v124(constB69, 2)) | ((~v121(constB69, 0)) <=> v124(constB69, 0)) | ((~v121(constB69, 1)) <=> v124(constB69, 1))) | (~((~v121(constB69, 0)) <=> v124(constB69, 0)))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10356,plain,
% 14.97/10.15 (~((~v121(constB69, 0)) <=> v124(constB69, 0))),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10355, 7320])).
% 14.97/10.15 tff(10357,plain,
% 14.97/10.15 ((v124(constB69, 2) | (~v124(constB69, 0)) | (~v124(constB69, 1))) | v124(constB69, 0)),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10358,plain,
% 14.97/10.15 (v124(constB69, 0)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10357, 10240])).
% 14.97/10.15 tff(10359,plain,
% 14.97/10.15 (((~v121(constB69, 0)) <=> v124(constB69, 0)) | v121(constB69, 0) | (~v124(constB69, 0))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10360,plain,
% 14.97/10.15 (v121(constB69, 0)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10359, 10358, 10356])).
% 14.97/10.15 tff(10361,plain,
% 14.97/10.15 (((~v123(constB70, 0)) <=> v121(constB69, 0)) | v123(constB70, 0) | (~v121(constB69, 0))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10362,plain,
% 14.97/10.15 (v123(constB70, 0)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10361, 10360, 10354])).
% 14.97/10.15 tff(10363,plain,
% 14.97/10.15 ((((~v84(constB70, 0)) <=> v123(constB70, 0)) | ((~v84(constB70, 2)) <=> v123(constB70, 2)) | ((~v84(constB70, 1)) <=> v123(constB70, 1))) | (~((~v84(constB70, 0)) <=> v123(constB70, 0)))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10364,plain,
% 14.97/10.15 (~((~v84(constB70, 0)) <=> v123(constB70, 0))),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10363, 10344])).
% 14.97/10.15 tff(10365,plain,
% 14.97/10.15 (((~v84(constB70, 0)) <=> v123(constB70, 0)) | v84(constB70, 0) | (~v123(constB70, 0))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10366,plain,
% 14.97/10.15 (v84(constB70, 0)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10365, 10364, 10362])).
% 14.97/10.15 tff(10367,plain,
% 14.97/10.15 (((~v84(constB71, 0)) <=> v84(constB70, 0)) | v84(constB71, 0) | (~v84(constB70, 0))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10368,plain,
% 14.97/10.15 (v84(constB71, 0)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10367, 10366, 10352])).
% 14.97/10.15 tff(10369,plain,
% 14.97/10.15 ((((~v84(constB71, 1)) <=> v84(constB70, 1)) | ((~v84(constB71, 2)) <=> v84(constB70, 2)) | ((~v84(constB71, 0)) <=> v84(constB70, 0))) | (~((~v84(constB71, 1)) <=> v84(constB70, 1)))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10370,plain,
% 14.97/10.15 (~((~v84(constB71, 1)) <=> v84(constB70, 1))),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10369, 7297])).
% 14.97/10.15 tff(10371,plain,
% 14.97/10.15 ((((~v123(constB70, 2)) <=> v121(constB69, 2)) | ((~v123(constB70, 1)) <=> v121(constB69, 1)) | ((~v123(constB70, 0)) <=> v121(constB69, 0))) | (~((~v123(constB70, 1)) <=> v121(constB69, 1)))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10372,plain,
% 14.97/10.15 (~((~v123(constB70, 1)) <=> v121(constB69, 1))),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10371, 7306])).
% 14.97/10.15 tff(10373,plain,
% 14.97/10.15 ((((~v121(constB69, 2)) <=> v124(constB69, 2)) | ((~v121(constB69, 0)) <=> v124(constB69, 0)) | ((~v121(constB69, 1)) <=> v124(constB69, 1))) | (~((~v121(constB69, 1)) <=> v124(constB69, 1)))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10374,plain,
% 14.97/10.15 (~((~v121(constB69, 1)) <=> v124(constB69, 1))),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10373, 7320])).
% 14.97/10.15 tff(10375,plain,
% 14.97/10.15 ((v124(constB69, 2) | (~v124(constB69, 0)) | (~v124(constB69, 1))) | v124(constB69, 1)),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10376,plain,
% 14.97/10.15 (v124(constB69, 1)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10375, 10240])).
% 14.97/10.15 tff(10377,plain,
% 14.97/10.15 (((~v121(constB69, 1)) <=> v124(constB69, 1)) | v121(constB69, 1) | (~v124(constB69, 1))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10378,plain,
% 14.97/10.15 (v121(constB69, 1)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10377, 10376, 10374])).
% 14.97/10.15 tff(10379,plain,
% 14.97/10.15 (((~v123(constB70, 1)) <=> v121(constB69, 1)) | v123(constB70, 1) | (~v121(constB69, 1))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10380,plain,
% 14.97/10.15 (v123(constB70, 1)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10379, 10378, 10372])).
% 14.97/10.15 tff(10381,plain,
% 14.97/10.15 ((((~v84(constB70, 0)) <=> v123(constB70, 0)) | ((~v84(constB70, 2)) <=> v123(constB70, 2)) | ((~v84(constB70, 1)) <=> v123(constB70, 1))) | (~((~v84(constB70, 1)) <=> v123(constB70, 1)))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10382,plain,
% 14.97/10.15 (~((~v84(constB70, 1)) <=> v123(constB70, 1))),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10381, 10344])).
% 14.97/10.15 tff(10383,plain,
% 14.97/10.15 (((~v84(constB70, 1)) <=> v123(constB70, 1)) | v84(constB70, 1) | (~v123(constB70, 1))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10384,plain,
% 14.97/10.15 (v84(constB70, 1)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10383, 10382, 10380])).
% 14.97/10.15 tff(10385,plain,
% 14.97/10.15 (((~v84(constB71, 1)) <=> v84(constB70, 1)) | v84(constB71, 1) | (~v84(constB70, 1))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10386,plain,
% 14.97/10.15 (v84(constB71, 1)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10385, 10384, 10370])).
% 14.97/10.15 tff(10387,plain,
% 14.97/10.15 ((~(v84(constB71, 2) | (~v84(constB71, 1)) | (~v84(constB71, 0)))) | v84(constB71, 2) | (~v84(constB71, 1)) | (~v84(constB71, 0))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10388,plain,
% 14.97/10.15 (~(v84(constB71, 2) | (~v84(constB71, 1)) | (~v84(constB71, 0)))),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10387, 10386, 10368, 10350])).
% 14.97/10.15 tff(10389,plain,
% 14.97/10.15 ((~(v116(constB71) <=> (~(v84(constB71, 2) | (~v84(constB71, 1)) | (~v84(constB71, 0)))))) | v116(constB71) | (v84(constB71, 2) | (~v84(constB71, 1)) | (~v84(constB71, 0)))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10390,plain,
% 14.97/10.15 (v116(constB71)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10389, 10388, 7263])).
% 14.97/10.15 tff(10391,plain,
% 14.97/10.15 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB71)) | (~(v124(constB71, 0) | v124(constB71, 1) | (~v124(constB71, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB71)) | (~(v124(constB71, 0) | v124(constB71, 1) | (~v124(constB71, 2)))))),
% 14.97/10.15 inference(rewrite,[status(thm)],[])).
% 14.97/10.15 tff(10392,plain,
% 14.97/10.15 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB71)) | (~(v124(constB71, 0) | v124(constB71, 1) | (~v124(constB71, 2)))))),
% 14.97/10.15 inference(quant_inst,[status(thm)],[])).
% 14.97/10.15 tff(10393,plain,
% 14.97/10.15 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB71)) | (~(v124(constB71, 0) | v124(constB71, 1) | (~v124(constB71, 2))))),
% 14.97/10.15 inference(modus_ponens,[status(thm)],[10392, 10391])).
% 14.97/10.15 tff(10394,plain,
% 14.97/10.15 ((~v116(constB71)) | (~(v124(constB71, 0) | v124(constB71, 1) | (~v124(constB71, 2))))),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10393, 3309])).
% 14.97/10.15 tff(10395,plain,
% 14.97/10.15 (~(v124(constB71, 0) | v124(constB71, 1) | (~v124(constB71, 2)))),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10394, 10390])).
% 14.97/10.15 tff(10396,plain,
% 14.97/10.15 ((v124(constB71, 0) | v124(constB71, 1) | (~v124(constB71, 2))) | v124(constB71, 2)),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10397,plain,
% 14.97/10.15 (v124(constB71, 2)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10396, 10395])).
% 14.97/10.15 tff(10398,plain,
% 14.97/10.15 (((~v121(constB71, 2)) <=> v124(constB71, 2)) | v121(constB71, 2) | (~v124(constB71, 2))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10399,plain,
% 14.97/10.15 (v121(constB71, 2)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10398, 10397, 7261])).
% 14.97/10.15 tff(10400,plain,
% 14.97/10.15 (((~v123(constB72, 2)) <=> v121(constB71, 2)) | v123(constB72, 2) | (~v121(constB71, 2))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10401,plain,
% 14.97/10.15 (v123(constB72, 2)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10400, 10399, 7247])).
% 14.97/10.15 tff(10402,plain,
% 14.97/10.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB71, constB72)) | (v94(constB72) <=> (~((~v95(constB72)) | (~v104(constB72))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB71, constB72)) | (v94(constB72) <=> (~((~v95(constB72)) | (~v104(constB72))))))),
% 14.97/10.15 inference(rewrite,[status(thm)],[])).
% 14.97/10.15 tff(10403,plain,
% 14.97/10.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB71, constB72)) | (v94(constB72) <=> (~((~v95(constB72)) | (~v104(constB72))))))),
% 14.97/10.15 inference(quant_inst,[status(thm)],[])).
% 14.97/10.15 tff(10404,plain,
% 14.97/10.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB71, constB72)) | (v94(constB72) <=> (~((~v95(constB72)) | (~v104(constB72)))))),
% 14.97/10.15 inference(modus_ponens,[status(thm)],[10403, 10402])).
% 14.97/10.15 tff(10405,plain,
% 14.97/10.15 (v94(constB72) <=> (~((~v95(constB72)) | (~v104(constB72))))),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10404, 7241, 770])).
% 14.97/10.15 tff(10406,plain,
% 14.97/10.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72))))))),
% 14.97/10.15 inference(rewrite,[status(thm)],[])).
% 14.97/10.15 tff(10407,plain,
% 14.97/10.15 (((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v96(constB72)) | (~v1(constB72)))))) <=> ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72))))))),
% 14.97/10.15 inference(rewrite,[status(thm)],[])).
% 14.97/10.15 tff(10408,plain,
% 14.97/10.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v96(constB72)) | (~v1(constB72))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72)))))))),
% 14.97/10.15 inference(monotonicity,[status(thm)],[10407])).
% 14.97/10.15 tff(10409,plain,
% 14.97/10.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v96(constB72)) | (~v1(constB72))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72))))))),
% 14.97/10.15 inference(transitivity,[status(thm)],[10408, 10406])).
% 14.97/10.15 tff(10410,plain,
% 14.97/10.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v96(constB72)) | (~v1(constB72))))))),
% 14.97/10.15 inference(quant_inst,[status(thm)],[])).
% 14.97/10.15 tff(10411,plain,
% 14.97/10.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72)))))),
% 14.97/10.15 inference(modus_ponens,[status(thm)],[10410, 10409])).
% 14.97/10.15 tff(10412,plain,
% 14.97/10.15 (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72))))),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10411, 7241, 790])).
% 14.97/10.15 tff(10413,plain,
% 14.97/10.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB71, constB72)) | ((~v96(constB72)) <=> v98(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB71, constB72)) | ((~v96(constB72)) <=> v98(constB72)))),
% 14.97/10.15 inference(rewrite,[status(thm)],[])).
% 14.97/10.15 tff(10414,plain,
% 14.97/10.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB71, constB72)) | ((~v96(constB72)) <=> v98(constB72)))),
% 14.97/10.15 inference(quant_inst,[status(thm)],[])).
% 14.97/10.15 tff(10415,plain,
% 14.97/10.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB71, constB72)) | ((~v96(constB72)) <=> v98(constB72))),
% 14.97/10.15 inference(modus_ponens,[status(thm)],[10414, 10413])).
% 14.97/10.15 tff(10416,plain,
% 14.97/10.15 ((~v96(constB72)) <=> v98(constB72)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10415, 7241, 2332])).
% 14.97/10.15 tff(10417,plain,
% 14.97/10.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v98(constB72) <=> v1(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v98(constB72) <=> v1(constB71)))),
% 14.97/10.15 inference(rewrite,[status(thm)],[])).
% 14.97/10.15 tff(10418,plain,
% 14.97/10.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v98(constB72) <=> v1(constB71)))),
% 14.97/10.15 inference(quant_inst,[status(thm)],[])).
% 14.97/10.15 tff(10419,plain,
% 14.97/10.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v98(constB72) <=> v1(constB71))),
% 14.97/10.15 inference(modus_ponens,[status(thm)],[10418, 10417])).
% 14.97/10.15 tff(10420,plain,
% 14.97/10.15 (v98(constB72) <=> v1(constB71)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10419, 7241, 2346])).
% 14.97/10.15 tff(10421,plain,
% 14.97/10.15 ((~(v98(constB72) <=> v1(constB71))) | (~v98(constB72)) | v1(constB71)),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10422,plain,
% 14.97/10.15 ((~(v98(constB72) <=> v1(constB71))) | (~v98(constB72))),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10421, 7280])).
% 14.97/10.15 tff(10423,plain,
% 14.97/10.15 (~v98(constB72)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10422, 10420])).
% 14.97/10.15 tff(10424,plain,
% 14.97/10.15 ((~((~v96(constB72)) <=> v98(constB72))) | v96(constB72) | v98(constB72)),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10425,plain,
% 14.97/10.15 (v96(constB72)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10424, 10423, 10416])).
% 14.97/10.15 tff(10426,plain,
% 14.97/10.15 (v1(constB72) <=> v1(constB72)),
% 14.97/10.15 inference(rewrite,[status(thm)],[])).
% 14.97/10.15 tff(10427,axiom,(v1(constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_72')).
% 14.97/10.15 tff(10428,plain,
% 14.97/10.15 (v1(constB72)),
% 14.97/10.15 inference(modus_ponens,[status(thm)],[10427, 10426])).
% 14.97/10.15 tff(10429,plain,
% 14.97/10.15 ((~((~v1(constB72)) | (~v96(constB72)))) | (~v1(constB72)) | (~v96(constB72))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10430,plain,
% 14.97/10.15 ((~((~v1(constB72)) | (~v96(constB72)))) | (~v96(constB72))),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10429, 10428])).
% 14.97/10.15 tff(10431,plain,
% 14.97/10.15 (~((~v1(constB72)) | (~v96(constB72)))),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10430, 10425])).
% 14.97/10.15 tff(10432,plain,
% 14.97/10.15 ((~(v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72)))))) | v95(constB72) | ((~v1(constB72)) | (~v96(constB72)))),
% 14.97/10.15 inference(tautology,[status(thm)],[])).
% 14.97/10.15 tff(10433,plain,
% 14.97/10.15 (v95(constB72)),
% 14.97/10.15 inference(unit_resolution,[status(thm)],[10432, 10431, 10412])).
% 14.97/10.15 tff(10434,plain,
% 14.97/10.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v102(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v102(constB71)))),
% 14.97/10.16 inference(rewrite,[status(thm)],[])).
% 14.97/10.16 tff(10435,plain,
% 14.97/10.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v102(constB71)))),
% 14.97/10.16 inference(quant_inst,[status(thm)],[])).
% 14.97/10.16 tff(10436,plain,
% 14.97/10.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v102(constB71))),
% 14.97/10.16 inference(modus_ponens,[status(thm)],[10435, 10434])).
% 14.97/10.16 tff(10437,plain,
% 14.97/10.16 (v104(constB72) <=> v102(constB71)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10436, 7241, 2373])).
% 14.97/10.16 tff(10438,plain,
% 14.97/10.16 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB71) <=> (v105(constB71) | v106(constB71)))),
% 14.97/10.16 inference(quant_inst,[status(thm)],[])).
% 14.97/10.16 tff(10439,plain,
% 14.97/10.16 (v102(constB71) <=> (v105(constB71) | v106(constB71))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10438, 2384])).
% 14.97/10.16 tff(10440,plain,
% 14.97/10.16 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB71) <=> (~((~v107(constB71)) | (~v120(constB71)))))),
% 14.97/10.16 inference(quant_inst,[status(thm)],[])).
% 14.97/10.16 tff(10441,plain,
% 14.97/10.16 (v106(constB71) <=> (~((~v107(constB71)) | (~v120(constB71))))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10440, 2396])).
% 14.97/10.16 tff(10442,plain,
% 14.97/10.16 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB71) <=> (v108(constB71) | v119(constB71)))),
% 14.97/10.16 inference(quant_inst,[status(thm)],[])).
% 14.97/10.16 tff(10443,plain,
% 14.97/10.16 (v107(constB71) <=> (v108(constB71) | v119(constB71))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10442, 2405])).
% 14.97/10.16 tff(10444,plain,
% 14.97/10.16 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB71) <=> (v109(constB71) | v118(constB71)))),
% 14.97/10.16 inference(quant_inst,[status(thm)],[])).
% 14.97/10.16 tff(10445,plain,
% 14.97/10.16 (v108(constB71) <=> (v109(constB71) | v118(constB71))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10444, 2414])).
% 14.97/10.16 tff(10446,plain,
% 14.97/10.16 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB71) <=> (v110(constB71) | v117(constB71)))),
% 14.97/10.16 inference(quant_inst,[status(thm)],[])).
% 14.97/10.16 tff(10447,plain,
% 14.97/10.16 (v109(constB71) <=> (v110(constB71) | v117(constB71))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10446, 2423])).
% 14.97/10.16 tff(10448,plain,
% 14.97/10.16 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB71) <=> (v111(constB71) | v116(constB71)))),
% 14.97/10.16 inference(quant_inst,[status(thm)],[])).
% 14.97/10.16 tff(10449,plain,
% 14.97/10.16 (v110(constB71) <=> (v111(constB71) | v116(constB71))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10448, 2432])).
% 14.97/10.16 tff(10450,plain,
% 14.97/10.16 ((v111(constB71) | v116(constB71)) | (~v116(constB71))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10451,plain,
% 14.97/10.16 (v111(constB71) | v116(constB71)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10450, 10390])).
% 14.97/10.16 tff(10452,plain,
% 14.97/10.16 ((~(v110(constB71) <=> (v111(constB71) | v116(constB71)))) | v110(constB71) | (~(v111(constB71) | v116(constB71)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10453,plain,
% 14.97/10.16 (v110(constB71)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10452, 10451, 10449])).
% 14.97/10.16 tff(10454,plain,
% 14.97/10.16 ((v110(constB71) | v117(constB71)) | (~v110(constB71))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10455,plain,
% 14.97/10.16 (v110(constB71) | v117(constB71)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10454, 10453])).
% 14.97/10.16 tff(10456,plain,
% 14.97/10.16 ((~(v109(constB71) <=> (v110(constB71) | v117(constB71)))) | v109(constB71) | (~(v110(constB71) | v117(constB71)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10457,plain,
% 14.97/10.16 (v109(constB71)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10456, 10455, 10447])).
% 14.97/10.16 tff(10458,plain,
% 14.97/10.16 ((v109(constB71) | v118(constB71)) | (~v109(constB71))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10459,plain,
% 14.97/10.16 (v109(constB71) | v118(constB71)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10458, 10457])).
% 14.97/10.16 tff(10460,plain,
% 14.97/10.16 ((~(v108(constB71) <=> (v109(constB71) | v118(constB71)))) | v108(constB71) | (~(v109(constB71) | v118(constB71)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10461,plain,
% 14.97/10.16 (v108(constB71)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10460, 10459, 10445])).
% 14.97/10.16 tff(10462,plain,
% 14.97/10.16 ((v108(constB71) | v119(constB71)) | (~v108(constB71))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10463,plain,
% 14.97/10.16 (v108(constB71) | v119(constB71)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10462, 10461])).
% 14.97/10.16 tff(10464,plain,
% 14.97/10.16 ((~(v107(constB71) <=> (v108(constB71) | v119(constB71)))) | v107(constB71) | (~(v108(constB71) | v119(constB71)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10465,plain,
% 14.97/10.16 (v107(constB71)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10464, 10463, 10443])).
% 14.97/10.16 tff(10466,plain,
% 14.97/10.16 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB71)) <=> v105(constB71))),
% 14.97/10.16 inference(quant_inst,[status(thm)],[])).
% 14.97/10.16 tff(10467,plain,
% 14.97/10.16 ((~v120(constB71)) <=> v105(constB71)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10466, 2484])).
% 14.97/10.16 tff(10468,plain,
% 14.97/10.16 ((~((~v120(constB71)) <=> v105(constB71))) | v120(constB71) | v105(constB71)),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10469,plain,
% 14.97/10.16 ((~((~v120(constB71)) <=> v105(constB71))) | v120(constB71)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10468, 7254])).
% 14.97/10.16 tff(10470,plain,
% 14.97/10.16 (v120(constB71)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10469, 10467])).
% 14.97/10.16 tff(10471,plain,
% 14.97/10.16 ((~((~v107(constB71)) | (~v120(constB71)))) | (~v107(constB71)) | (~v120(constB71))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10472,plain,
% 14.97/10.16 ((~((~v107(constB71)) | (~v120(constB71)))) | (~v107(constB71))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10471, 10470])).
% 14.97/10.16 tff(10473,plain,
% 14.97/10.16 (~((~v107(constB71)) | (~v120(constB71)))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10472, 10465])).
% 14.97/10.16 tff(10474,plain,
% 14.97/10.16 ((~(v106(constB71) <=> (~((~v107(constB71)) | (~v120(constB71)))))) | v106(constB71) | ((~v107(constB71)) | (~v120(constB71)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10475,plain,
% 14.97/10.16 (v106(constB71)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10474, 10473, 10441])).
% 14.97/10.16 tff(10476,plain,
% 14.97/10.16 ((v105(constB71) | v106(constB71)) | (~v106(constB71))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10477,plain,
% 14.97/10.16 (v105(constB71) | v106(constB71)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10476, 10475])).
% 14.97/10.16 tff(10478,plain,
% 14.97/10.16 ((~(v102(constB71) <=> (v105(constB71) | v106(constB71)))) | v102(constB71) | (~(v105(constB71) | v106(constB71)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10479,plain,
% 14.97/10.16 (v102(constB71)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10478, 10477, 10439])).
% 14.97/10.16 tff(10480,plain,
% 14.97/10.16 ((~(v104(constB72) <=> v102(constB71))) | v104(constB72) | (~v102(constB71))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10481,plain,
% 14.97/10.16 (v104(constB72)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10480, 10479, 10437])).
% 14.97/10.16 tff(10482,plain,
% 14.97/10.16 ((~((~v95(constB72)) | (~v104(constB72)))) | (~v95(constB72)) | (~v104(constB72))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10483,plain,
% 14.97/10.16 (~((~v95(constB72)) | (~v104(constB72)))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10482, 10481, 10433])).
% 14.97/10.16 tff(10484,plain,
% 14.97/10.16 ((~(v94(constB72) <=> (~((~v95(constB72)) | (~v104(constB72)))))) | v94(constB72) | ((~v95(constB72)) | (~v104(constB72)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10485,plain,
% 14.97/10.16 (v94(constB72)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10484, 10483, 10405])).
% 14.97/10.16 tff(10486,plain,
% 14.97/10.16 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB72)) | (~(((~v84(constB72, 2)) <=> v123(constB72, 2)) | ((~v84(constB72, 1)) <=> v123(constB72, 1)) | ((~v84(constB72, 0)) <=> v123(constB72, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB72)) | (~(((~v84(constB72, 2)) <=> v123(constB72, 2)) | ((~v84(constB72, 1)) <=> v123(constB72, 1)) | ((~v84(constB72, 0)) <=> v123(constB72, 0)))))),
% 14.97/10.16 inference(rewrite,[status(thm)],[])).
% 14.97/10.16 tff(10487,plain,
% 14.97/10.16 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB72)) | (~(((~v84(constB72, 2)) <=> v123(constB72, 2)) | ((~v84(constB72, 1)) <=> v123(constB72, 1)) | ((~v84(constB72, 0)) <=> v123(constB72, 0)))))),
% 14.97/10.16 inference(quant_inst,[status(thm)],[])).
% 14.97/10.16 tff(10488,plain,
% 14.97/10.16 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB72)) | (~(((~v84(constB72, 2)) <=> v123(constB72, 2)) | ((~v84(constB72, 1)) <=> v123(constB72, 1)) | ((~v84(constB72, 0)) <=> v123(constB72, 0))))),
% 14.97/10.16 inference(modus_ponens,[status(thm)],[10487, 10486])).
% 14.97/10.16 tff(10489,plain,
% 14.97/10.16 ((~v94(constB72)) | (~(((~v84(constB72, 2)) <=> v123(constB72, 2)) | ((~v84(constB72, 1)) <=> v123(constB72, 1)) | ((~v84(constB72, 0)) <=> v123(constB72, 0))))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10488, 2517])).
% 14.97/10.16 tff(10490,plain,
% 14.97/10.16 (~(((~v84(constB72, 2)) <=> v123(constB72, 2)) | ((~v84(constB72, 1)) <=> v123(constB72, 1)) | ((~v84(constB72, 0)) <=> v123(constB72, 0)))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10489, 10485])).
% 14.97/10.16 tff(10491,plain,
% 14.97/10.16 ((((~v84(constB72, 2)) <=> v123(constB72, 2)) | ((~v84(constB72, 1)) <=> v123(constB72, 1)) | ((~v84(constB72, 0)) <=> v123(constB72, 0))) | (~((~v84(constB72, 2)) <=> v123(constB72, 2)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10492,plain,
% 14.97/10.16 (~((~v84(constB72, 2)) <=> v123(constB72, 2))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10491, 10490])).
% 14.97/10.16 tff(10493,plain,
% 14.97/10.16 (((~v84(constB72, 2)) <=> v123(constB72, 2)) | v84(constB72, 2) | (~v123(constB72, 2))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10494,plain,
% 14.97/10.16 (v84(constB72, 2)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10493, 10492, 10401])).
% 14.97/10.16 tff(10495,plain,
% 14.97/10.16 (((~v84(constB73, 2)) <=> v84(constB72, 2)) | v84(constB73, 2) | (~v84(constB72, 2))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10496,plain,
% 14.97/10.16 (v84(constB73, 2)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10495, 10494, 7238])).
% 14.97/10.16 tff(10497,plain,
% 14.97/10.16 ((((~v84(constB73, 1)) <=> v84(constB72, 1)) | ((~v84(constB73, 2)) <=> v84(constB72, 2)) | ((~v84(constB73, 0)) <=> v84(constB72, 0))) | (~((~v84(constB73, 0)) <=> v84(constB72, 0)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10498,plain,
% 14.97/10.16 (~((~v84(constB73, 0)) <=> v84(constB72, 0))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10497, 7236])).
% 14.97/10.16 tff(10499,plain,
% 14.97/10.16 ((((~v123(constB72, 2)) <=> v121(constB71, 2)) | ((~v123(constB72, 1)) <=> v121(constB71, 1)) | ((~v123(constB72, 0)) <=> v121(constB71, 0))) | (~((~v123(constB72, 0)) <=> v121(constB71, 0)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10500,plain,
% 14.97/10.16 (~((~v123(constB72, 0)) <=> v121(constB71, 0))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10499, 7245])).
% 14.97/10.16 tff(10501,plain,
% 14.97/10.16 ((((~v121(constB71, 2)) <=> v124(constB71, 2)) | ((~v121(constB71, 0)) <=> v124(constB71, 0)) | ((~v121(constB71, 1)) <=> v124(constB71, 1))) | (~((~v121(constB71, 0)) <=> v124(constB71, 0)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10502,plain,
% 14.97/10.16 (~((~v121(constB71, 0)) <=> v124(constB71, 0))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10501, 7259])).
% 14.97/10.16 tff(10503,plain,
% 14.97/10.16 ((v124(constB71, 0) | v124(constB71, 1) | (~v124(constB71, 2))) | (~v124(constB71, 0))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10504,plain,
% 14.97/10.16 (~v124(constB71, 0)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10503, 10395])).
% 14.97/10.16 tff(10505,plain,
% 14.97/10.16 (((~v121(constB71, 0)) <=> v124(constB71, 0)) | (~v121(constB71, 0)) | v124(constB71, 0)),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10506,plain,
% 14.97/10.16 (~v121(constB71, 0)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10505, 10504, 10502])).
% 14.97/10.16 tff(10507,plain,
% 14.97/10.16 (((~v123(constB72, 0)) <=> v121(constB71, 0)) | (~v123(constB72, 0)) | v121(constB71, 0)),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10508,plain,
% 14.97/10.16 (~v123(constB72, 0)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10507, 10506, 10500])).
% 14.97/10.16 tff(10509,plain,
% 14.97/10.16 ((((~v84(constB72, 2)) <=> v123(constB72, 2)) | ((~v84(constB72, 1)) <=> v123(constB72, 1)) | ((~v84(constB72, 0)) <=> v123(constB72, 0))) | (~((~v84(constB72, 0)) <=> v123(constB72, 0)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10510,plain,
% 14.97/10.16 (~((~v84(constB72, 0)) <=> v123(constB72, 0))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10509, 10490])).
% 14.97/10.16 tff(10511,plain,
% 14.97/10.16 (((~v84(constB72, 0)) <=> v123(constB72, 0)) | (~v84(constB72, 0)) | v123(constB72, 0)),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10512,plain,
% 14.97/10.16 (~v84(constB72, 0)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10511, 10510, 10508])).
% 14.97/10.16 tff(10513,plain,
% 14.97/10.16 (((~v84(constB73, 0)) <=> v84(constB72, 0)) | (~v84(constB73, 0)) | v84(constB72, 0)),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10514,plain,
% 14.97/10.16 (~v84(constB73, 0)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10513, 10512, 10498])).
% 14.97/10.16 tff(10515,plain,
% 14.97/10.16 ((((~v84(constB73, 1)) <=> v84(constB72, 1)) | ((~v84(constB73, 2)) <=> v84(constB72, 2)) | ((~v84(constB73, 0)) <=> v84(constB72, 0))) | (~((~v84(constB73, 1)) <=> v84(constB72, 1)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10516,plain,
% 14.97/10.16 (~((~v84(constB73, 1)) <=> v84(constB72, 1))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10515, 7236])).
% 14.97/10.16 tff(10517,plain,
% 14.97/10.16 ((((~v123(constB72, 2)) <=> v121(constB71, 2)) | ((~v123(constB72, 1)) <=> v121(constB71, 1)) | ((~v123(constB72, 0)) <=> v121(constB71, 0))) | (~((~v123(constB72, 1)) <=> v121(constB71, 1)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10518,plain,
% 14.97/10.16 (~((~v123(constB72, 1)) <=> v121(constB71, 1))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10517, 7245])).
% 14.97/10.16 tff(10519,plain,
% 14.97/10.16 ((((~v121(constB71, 2)) <=> v124(constB71, 2)) | ((~v121(constB71, 0)) <=> v124(constB71, 0)) | ((~v121(constB71, 1)) <=> v124(constB71, 1))) | (~((~v121(constB71, 1)) <=> v124(constB71, 1)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10520,plain,
% 14.97/10.16 (~((~v121(constB71, 1)) <=> v124(constB71, 1))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10519, 7259])).
% 14.97/10.16 tff(10521,plain,
% 14.97/10.16 ((v124(constB71, 0) | v124(constB71, 1) | (~v124(constB71, 2))) | (~v124(constB71, 1))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10522,plain,
% 14.97/10.16 (~v124(constB71, 1)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10521, 10395])).
% 14.97/10.16 tff(10523,plain,
% 14.97/10.16 (((~v121(constB71, 1)) <=> v124(constB71, 1)) | (~v121(constB71, 1)) | v124(constB71, 1)),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10524,plain,
% 14.97/10.16 (~v121(constB71, 1)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10523, 10522, 10520])).
% 14.97/10.16 tff(10525,plain,
% 14.97/10.16 (((~v123(constB72, 1)) <=> v121(constB71, 1)) | (~v123(constB72, 1)) | v121(constB71, 1)),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10526,plain,
% 14.97/10.16 (~v123(constB72, 1)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10525, 10524, 10518])).
% 14.97/10.16 tff(10527,plain,
% 14.97/10.16 ((((~v84(constB72, 2)) <=> v123(constB72, 2)) | ((~v84(constB72, 1)) <=> v123(constB72, 1)) | ((~v84(constB72, 0)) <=> v123(constB72, 0))) | (~((~v84(constB72, 1)) <=> v123(constB72, 1)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10528,plain,
% 14.97/10.16 (~((~v84(constB72, 1)) <=> v123(constB72, 1))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10527, 10490])).
% 14.97/10.16 tff(10529,plain,
% 14.97/10.16 (((~v84(constB72, 1)) <=> v123(constB72, 1)) | (~v84(constB72, 1)) | v123(constB72, 1)),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10530,plain,
% 14.97/10.16 (~v84(constB72, 1)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10529, 10528, 10526])).
% 14.97/10.16 tff(10531,plain,
% 14.97/10.16 (((~v84(constB73, 1)) <=> v84(constB72, 1)) | (~v84(constB73, 1)) | v84(constB72, 1)),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10532,plain,
% 14.97/10.16 (~v84(constB73, 1)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10531, 10530, 10516])).
% 14.97/10.16 tff(10533,plain,
% 14.97/10.16 ((~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))) | v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10534,plain,
% 14.97/10.16 (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10533, 10532, 10514, 10496])).
% 14.97/10.16 tff(10535,plain,
% 14.97/10.16 ((~(v117(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))))) | v117(constB73) | (v84(constB73, 1) | v84(constB73, 0) | (~v84(constB73, 2)))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10536,plain,
% 14.97/10.16 (v117(constB73)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10535, 10534, 7202])).
% 14.97/10.16 tff(10537,plain,
% 14.97/10.16 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB73)) | (~(v124(constB73, 0) | (~v124(constB73, 2)) | (~v124(constB73, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB73)) | (~(v124(constB73, 0) | (~v124(constB73, 2)) | (~v124(constB73, 1)))))),
% 14.97/10.16 inference(rewrite,[status(thm)],[])).
% 14.97/10.16 tff(10538,plain,
% 14.97/10.16 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB73)) | (~(v124(constB73, 0) | (~v124(constB73, 2)) | (~v124(constB73, 1)))))),
% 14.97/10.16 inference(quant_inst,[status(thm)],[])).
% 14.97/10.16 tff(10539,plain,
% 14.97/10.16 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB73)) | (~(v124(constB73, 0) | (~v124(constB73, 2)) | (~v124(constB73, 1))))),
% 14.97/10.16 inference(modus_ponens,[status(thm)],[10538, 10537])).
% 14.97/10.16 tff(10540,plain,
% 14.97/10.16 ((~v117(constB73)) | (~(v124(constB73, 0) | (~v124(constB73, 2)) | (~v124(constB73, 1))))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10539, 2584])).
% 14.97/10.16 tff(10541,plain,
% 14.97/10.16 (~(v124(constB73, 0) | (~v124(constB73, 2)) | (~v124(constB73, 1)))),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10540, 10536])).
% 14.97/10.16 tff(10542,plain,
% 14.97/10.16 ((v124(constB73, 0) | (~v124(constB73, 2)) | (~v124(constB73, 1))) | (~v124(constB73, 0))),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10543,plain,
% 14.97/10.16 (~v124(constB73, 0)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10542, 10541])).
% 14.97/10.16 tff(10544,plain,
% 14.97/10.16 (((~v121(constB73, 0)) <=> v124(constB73, 0)) | (~v121(constB73, 0)) | v124(constB73, 0)),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10545,plain,
% 14.97/10.16 (~v121(constB73, 0)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10544, 10543, 7195])).
% 14.97/10.16 tff(10546,plain,
% 14.97/10.16 (((~v123(constB74, 0)) <=> v121(constB73, 0)) | (~v123(constB74, 0)) | v121(constB73, 0)),
% 14.97/10.16 inference(tautology,[status(thm)],[])).
% 14.97/10.16 tff(10547,plain,
% 14.97/10.16 (~v123(constB74, 0)),
% 14.97/10.16 inference(unit_resolution,[status(thm)],[10546, 10545, 7181])).
% 14.97/10.16 tff(10548,plain,
% 14.97/10.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB73, constB74)) | (v94(constB74) <=> (~((~v95(constB74)) | (~v104(constB74))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB73, constB74)) | (v94(constB74) <=> (~((~v95(constB74)) | (~v104(constB74))))))),
% 14.97/10.16 inference(rewrite,[status(thm)],[])).
% 14.97/10.16 tff(10549,plain,
% 14.97/10.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB73, constB74)) | (v94(constB74) <=> (~((~v95(constB74)) | (~v104(constB74))))))),
% 14.97/10.16 inference(quant_inst,[status(thm)],[])).
% 14.97/10.16 tff(10550,plain,
% 14.97/10.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB73, constB74)) | (v94(constB74) <=> (~((~v95(constB74)) | (~v104(constB74)))))),
% 14.97/10.17 inference(modus_ponens,[status(thm)],[10549, 10548])).
% 14.97/10.17 tff(10551,plain,
% 14.97/10.17 (v94(constB74) <=> (~((~v95(constB74)) | (~v104(constB74))))),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10550, 7175, 770])).
% 14.97/10.17 tff(10552,plain,
% 14.97/10.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74))))))),
% 14.97/10.17 inference(rewrite,[status(thm)],[])).
% 14.97/10.17 tff(10553,plain,
% 14.97/10.17 (((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v96(constB74)) | (~v1(constB74)))))) <=> ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74))))))),
% 14.97/10.17 inference(rewrite,[status(thm)],[])).
% 14.97/10.17 tff(10554,plain,
% 14.97/10.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v96(constB74)) | (~v1(constB74))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74)))))))),
% 14.97/10.17 inference(monotonicity,[status(thm)],[10553])).
% 14.97/10.17 tff(10555,plain,
% 14.97/10.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v96(constB74)) | (~v1(constB74))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74))))))),
% 14.97/10.17 inference(transitivity,[status(thm)],[10554, 10552])).
% 14.97/10.17 tff(10556,plain,
% 14.97/10.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v96(constB74)) | (~v1(constB74))))))),
% 14.97/10.17 inference(quant_inst,[status(thm)],[])).
% 14.97/10.17 tff(10557,plain,
% 14.97/10.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74)))))),
% 14.97/10.17 inference(modus_ponens,[status(thm)],[10556, 10555])).
% 14.97/10.17 tff(10558,plain,
% 14.97/10.17 (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74))))),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10557, 7175, 790])).
% 14.97/10.17 tff(10559,plain,
% 14.97/10.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB73, constB74)) | ((~v96(constB74)) <=> v98(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB73, constB74)) | ((~v96(constB74)) <=> v98(constB74)))),
% 14.97/10.17 inference(rewrite,[status(thm)],[])).
% 14.97/10.17 tff(10560,plain,
% 14.97/10.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB73, constB74)) | ((~v96(constB74)) <=> v98(constB74)))),
% 14.97/10.17 inference(quant_inst,[status(thm)],[])).
% 14.97/10.17 tff(10561,plain,
% 14.97/10.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB73, constB74)) | ((~v96(constB74)) <=> v98(constB74))),
% 14.97/10.17 inference(modus_ponens,[status(thm)],[10560, 10559])).
% 14.97/10.17 tff(10562,plain,
% 14.97/10.17 ((~v96(constB74)) <=> v98(constB74)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10561, 7175, 2332])).
% 14.97/10.17 tff(10563,plain,
% 14.97/10.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v98(constB74) <=> v1(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v98(constB74) <=> v1(constB73)))),
% 14.97/10.17 inference(rewrite,[status(thm)],[])).
% 14.97/10.17 tff(10564,plain,
% 14.97/10.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v98(constB74) <=> v1(constB73)))),
% 14.97/10.17 inference(quant_inst,[status(thm)],[])).
% 14.97/10.17 tff(10565,plain,
% 14.97/10.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v98(constB74) <=> v1(constB73))),
% 14.97/10.17 inference(modus_ponens,[status(thm)],[10564, 10563])).
% 14.97/10.17 tff(10566,plain,
% 14.97/10.17 (v98(constB74) <=> v1(constB73)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10565, 7175, 2346])).
% 14.97/10.17 tff(10567,plain,
% 14.97/10.17 ((~(v98(constB74) <=> v1(constB73))) | (~v98(constB74)) | v1(constB73)),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10568,plain,
% 14.97/10.17 ((~(v98(constB74) <=> v1(constB73))) | (~v98(constB74))),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10567, 7219])).
% 14.97/10.17 tff(10569,plain,
% 14.97/10.17 (~v98(constB74)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10568, 10566])).
% 14.97/10.17 tff(10570,plain,
% 14.97/10.17 ((~((~v96(constB74)) <=> v98(constB74))) | v96(constB74) | v98(constB74)),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10571,plain,
% 14.97/10.17 (v96(constB74)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10570, 10569, 10562])).
% 14.97/10.17 tff(10572,plain,
% 14.97/10.17 (v1(constB74) <=> v1(constB74)),
% 14.97/10.17 inference(rewrite,[status(thm)],[])).
% 14.97/10.17 tff(10573,axiom,(v1(constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_74')).
% 14.97/10.17 tff(10574,plain,
% 14.97/10.17 (v1(constB74)),
% 14.97/10.17 inference(modus_ponens,[status(thm)],[10573, 10572])).
% 14.97/10.17 tff(10575,plain,
% 14.97/10.17 ((~((~v1(constB74)) | (~v96(constB74)))) | (~v1(constB74)) | (~v96(constB74))),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10576,plain,
% 14.97/10.17 ((~((~v1(constB74)) | (~v96(constB74)))) | (~v96(constB74))),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10575, 10574])).
% 14.97/10.17 tff(10577,plain,
% 14.97/10.17 (~((~v1(constB74)) | (~v96(constB74)))),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10576, 10571])).
% 14.97/10.17 tff(10578,plain,
% 14.97/10.17 ((~(v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74)))))) | v95(constB74) | ((~v1(constB74)) | (~v96(constB74)))),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10579,plain,
% 14.97/10.17 (v95(constB74)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10578, 10577, 10558])).
% 14.97/10.17 tff(10580,plain,
% 14.97/10.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v102(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v102(constB73)))),
% 14.97/10.17 inference(rewrite,[status(thm)],[])).
% 14.97/10.17 tff(10581,plain,
% 14.97/10.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v102(constB73)))),
% 14.97/10.17 inference(quant_inst,[status(thm)],[])).
% 14.97/10.17 tff(10582,plain,
% 14.97/10.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v102(constB73))),
% 14.97/10.17 inference(modus_ponens,[status(thm)],[10581, 10580])).
% 14.97/10.17 tff(10583,plain,
% 14.97/10.17 (v104(constB74) <=> v102(constB73)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10582, 7175, 2373])).
% 14.97/10.17 tff(10584,plain,
% 14.97/10.17 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB73) <=> (v105(constB73) | v106(constB73)))),
% 14.97/10.17 inference(quant_inst,[status(thm)],[])).
% 14.97/10.17 tff(10585,plain,
% 14.97/10.17 (v102(constB73) <=> (v105(constB73) | v106(constB73))),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10584, 2384])).
% 14.97/10.17 tff(10586,plain,
% 14.97/10.17 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB73) <=> (~((~v107(constB73)) | (~v120(constB73)))))),
% 14.97/10.17 inference(quant_inst,[status(thm)],[])).
% 14.97/10.17 tff(10587,plain,
% 14.97/10.17 (v106(constB73) <=> (~((~v107(constB73)) | (~v120(constB73))))),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10586, 2396])).
% 14.97/10.17 tff(10588,plain,
% 14.97/10.17 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB73) <=> (v108(constB73) | v119(constB73)))),
% 14.97/10.17 inference(quant_inst,[status(thm)],[])).
% 14.97/10.17 tff(10589,plain,
% 14.97/10.17 (v107(constB73) <=> (v108(constB73) | v119(constB73))),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10588, 2405])).
% 14.97/10.17 tff(10590,plain,
% 14.97/10.17 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB73) <=> (v109(constB73) | v118(constB73)))),
% 14.97/10.17 inference(quant_inst,[status(thm)],[])).
% 14.97/10.17 tff(10591,plain,
% 14.97/10.17 (v108(constB73) <=> (v109(constB73) | v118(constB73))),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10590, 2414])).
% 14.97/10.17 tff(10592,plain,
% 14.97/10.17 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB73) <=> (v110(constB73) | v117(constB73)))),
% 14.97/10.17 inference(quant_inst,[status(thm)],[])).
% 14.97/10.17 tff(10593,plain,
% 14.97/10.17 (v109(constB73) <=> (v110(constB73) | v117(constB73))),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10592, 2423])).
% 14.97/10.17 tff(10594,plain,
% 14.97/10.17 ((v110(constB73) | v117(constB73)) | (~v117(constB73))),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10595,plain,
% 14.97/10.17 (v110(constB73) | v117(constB73)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10594, 10536])).
% 14.97/10.17 tff(10596,plain,
% 14.97/10.17 ((~(v109(constB73) <=> (v110(constB73) | v117(constB73)))) | v109(constB73) | (~(v110(constB73) | v117(constB73)))),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10597,plain,
% 14.97/10.17 (v109(constB73)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10596, 10595, 10593])).
% 14.97/10.17 tff(10598,plain,
% 14.97/10.17 ((v109(constB73) | v118(constB73)) | (~v109(constB73))),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10599,plain,
% 14.97/10.17 (v109(constB73) | v118(constB73)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10598, 10597])).
% 14.97/10.17 tff(10600,plain,
% 14.97/10.17 ((~(v108(constB73) <=> (v109(constB73) | v118(constB73)))) | v108(constB73) | (~(v109(constB73) | v118(constB73)))),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10601,plain,
% 14.97/10.17 (v108(constB73)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10600, 10599, 10591])).
% 14.97/10.17 tff(10602,plain,
% 14.97/10.17 ((v108(constB73) | v119(constB73)) | (~v108(constB73))),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10603,plain,
% 14.97/10.17 (v108(constB73) | v119(constB73)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10602, 10601])).
% 14.97/10.17 tff(10604,plain,
% 14.97/10.17 ((~(v107(constB73) <=> (v108(constB73) | v119(constB73)))) | v107(constB73) | (~(v108(constB73) | v119(constB73)))),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10605,plain,
% 14.97/10.17 (v107(constB73)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10604, 10603, 10589])).
% 14.97/10.17 tff(10606,plain,
% 14.97/10.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB73)) <=> v105(constB73))),
% 14.97/10.17 inference(quant_inst,[status(thm)],[])).
% 14.97/10.17 tff(10607,plain,
% 14.97/10.17 ((~v120(constB73)) <=> v105(constB73)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10606, 2484])).
% 14.97/10.17 tff(10608,plain,
% 14.97/10.17 ((~((~v120(constB73)) <=> v105(constB73))) | v120(constB73) | v105(constB73)),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10609,plain,
% 14.97/10.17 ((~((~v120(constB73)) <=> v105(constB73))) | v120(constB73)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10608, 7188])).
% 14.97/10.17 tff(10610,plain,
% 14.97/10.17 (v120(constB73)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10609, 10607])).
% 14.97/10.17 tff(10611,plain,
% 14.97/10.17 ((~((~v107(constB73)) | (~v120(constB73)))) | (~v107(constB73)) | (~v120(constB73))),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10612,plain,
% 14.97/10.17 ((~((~v107(constB73)) | (~v120(constB73)))) | (~v107(constB73))),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10611, 10610])).
% 14.97/10.17 tff(10613,plain,
% 14.97/10.17 (~((~v107(constB73)) | (~v120(constB73)))),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10612, 10605])).
% 14.97/10.17 tff(10614,plain,
% 14.97/10.17 ((~(v106(constB73) <=> (~((~v107(constB73)) | (~v120(constB73)))))) | v106(constB73) | ((~v107(constB73)) | (~v120(constB73)))),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10615,plain,
% 14.97/10.17 (v106(constB73)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10614, 10613, 10587])).
% 14.97/10.17 tff(10616,plain,
% 14.97/10.17 ((v105(constB73) | v106(constB73)) | (~v106(constB73))),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10617,plain,
% 14.97/10.17 (v105(constB73) | v106(constB73)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10616, 10615])).
% 14.97/10.17 tff(10618,plain,
% 14.97/10.17 ((~(v102(constB73) <=> (v105(constB73) | v106(constB73)))) | v102(constB73) | (~(v105(constB73) | v106(constB73)))),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10619,plain,
% 14.97/10.17 (v102(constB73)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10618, 10617, 10585])).
% 14.97/10.17 tff(10620,plain,
% 14.97/10.17 ((~(v104(constB74) <=> v102(constB73))) | v104(constB74) | (~v102(constB73))),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10621,plain,
% 14.97/10.17 (v104(constB74)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10620, 10619, 10583])).
% 14.97/10.17 tff(10622,plain,
% 14.97/10.17 ((~((~v95(constB74)) | (~v104(constB74)))) | (~v95(constB74)) | (~v104(constB74))),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10623,plain,
% 14.97/10.17 (~((~v95(constB74)) | (~v104(constB74)))),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10622, 10621, 10579])).
% 14.97/10.17 tff(10624,plain,
% 14.97/10.17 ((~(v94(constB74) <=> (~((~v95(constB74)) | (~v104(constB74)))))) | v94(constB74) | ((~v95(constB74)) | (~v104(constB74)))),
% 14.97/10.17 inference(tautology,[status(thm)],[])).
% 14.97/10.17 tff(10625,plain,
% 14.97/10.17 (v94(constB74)),
% 14.97/10.17 inference(unit_resolution,[status(thm)],[10624, 10623, 10551])).
% 14.97/10.17 tff(10626,plain,
% 14.97/10.17 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB74)) | (~(((~v84(constB74, 0)) <=> v123(constB74, 0)) | ((~v84(constB74, 2)) <=> v123(constB74, 2)) | ((~v84(constB74, 1)) <=> v123(constB74, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB74)) | (~(((~v84(constB74, 0)) <=> v123(constB74, 0)) | ((~v84(constB74, 2)) <=> v123(constB74, 2)) | ((~v84(constB74, 1)) <=> v123(constB74, 1)))))),
% 14.97/10.17 inference(rewrite,[status(thm)],[])).
% 14.97/10.17 tff(10627,plain,
% 14.97/10.17 (((~v94(constB74)) | (~(((~v84(constB74, 2)) <=> v123(constB74, 2)) | ((~v84(constB74, 1)) <=> v123(constB74, 1)) | ((~v84(constB74, 0)) <=> v123(constB74, 0))))) <=> ((~v94(constB74)) | (~(((~v84(constB74, 0)) <=> v123(constB74, 0)) | ((~v84(constB74, 2)) <=> v123(constB74, 2)) | ((~v84(constB74, 1)) <=> v123(constB74, 1)))))),
% 14.97/10.17 inference(rewrite,[status(thm)],[])).
% 14.97/10.17 tff(10628,plain,
% 14.97/10.17 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB74)) | (~(((~v84(constB74, 2)) <=> v123(constB74, 2)) | ((~v84(constB74, 1)) <=> v123(constB74, 1)) | ((~v84(constB74, 0)) <=> v123(constB74, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB74)) | (~(((~v84(constB74, 0)) <=> v123(constB74, 0)) | ((~v84(constB74, 2)) <=> v123(constB74, 2)) | ((~v84(constB74, 1)) <=> v123(constB74, 1))))))),
% 14.97/10.17 inference(monotonicity,[status(thm)],[10627])).
% 14.97/10.17 tff(10629,plain,
% 14.97/10.17 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB74)) | (~(((~v84(constB74, 2)) <=> v123(constB74, 2)) | ((~v84(constB74, 1)) <=> v123(constB74, 1)) | ((~v84(constB74, 0)) <=> v123(constB74, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB74)) | (~(((~v84(constB74, 0)) <=> v123(constB74, 0)) | ((~v84(constB74, 2)) <=> v123(constB74, 2)) | ((~v84(constB74, 1)) <=> v123(constB74, 1)))))),
% 14.97/10.18 inference(transitivity,[status(thm)],[10628, 10626])).
% 14.97/10.18 tff(10630,plain,
% 14.97/10.18 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB74)) | (~(((~v84(constB74, 2)) <=> v123(constB74, 2)) | ((~v84(constB74, 1)) <=> v123(constB74, 1)) | ((~v84(constB74, 0)) <=> v123(constB74, 0)))))),
% 14.97/10.18 inference(quant_inst,[status(thm)],[])).
% 14.97/10.18 tff(10631,plain,
% 14.97/10.18 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB74)) | (~(((~v84(constB74, 0)) <=> v123(constB74, 0)) | ((~v84(constB74, 2)) <=> v123(constB74, 2)) | ((~v84(constB74, 1)) <=> v123(constB74, 1))))),
% 14.97/10.18 inference(modus_ponens,[status(thm)],[10630, 10629])).
% 14.97/10.18 tff(10632,plain,
% 14.97/10.18 ((~v94(constB74)) | (~(((~v84(constB74, 0)) <=> v123(constB74, 0)) | ((~v84(constB74, 2)) <=> v123(constB74, 2)) | ((~v84(constB74, 1)) <=> v123(constB74, 1))))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10631, 2517])).
% 14.97/10.18 tff(10633,plain,
% 14.97/10.18 (~(((~v84(constB74, 0)) <=> v123(constB74, 0)) | ((~v84(constB74, 2)) <=> v123(constB74, 2)) | ((~v84(constB74, 1)) <=> v123(constB74, 1)))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10632, 10625])).
% 14.97/10.18 tff(10634,plain,
% 14.97/10.18 ((((~v84(constB74, 0)) <=> v123(constB74, 0)) | ((~v84(constB74, 2)) <=> v123(constB74, 2)) | ((~v84(constB74, 1)) <=> v123(constB74, 1))) | (~((~v84(constB74, 0)) <=> v123(constB74, 0)))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10635,plain,
% 14.97/10.18 (~((~v84(constB74, 0)) <=> v123(constB74, 0))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10634, 10633])).
% 14.97/10.18 tff(10636,plain,
% 14.97/10.18 (((~v84(constB74, 0)) <=> v123(constB74, 0)) | (~v84(constB74, 0)) | v123(constB74, 0)),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10637,plain,
% 14.97/10.18 (~v84(constB74, 0)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10636, 10635, 10547])).
% 14.97/10.18 tff(10638,plain,
% 14.97/10.18 (((~v84(constB75, 0)) <=> v84(constB74, 0)) | (~v84(constB75, 0)) | v84(constB74, 0)),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10639,plain,
% 14.97/10.18 (~v84(constB75, 0)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10638, 10637, 7172])).
% 14.97/10.18 tff(10640,plain,
% 14.97/10.18 ((v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))) | v84(constB75, 0)),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10641,plain,
% 14.97/10.18 (v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10640, 10639])).
% 14.97/10.18 tff(10642,plain,
% 14.97/10.18 ((~(v114(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0)))))) | (~v114(constB75)) | (~(v84(constB75, 1) | v84(constB75, 2) | (~v84(constB75, 0))))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10643,plain,
% 14.97/10.18 (~v114(constB75)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10642, 10641, 7136])).
% 14.97/10.18 tff(10644,plain,
% 14.97/10.18 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))))))),
% 14.97/10.18 inference(rewrite,[status(thm)],[])).
% 14.97/10.18 tff(10645,plain,
% 14.97/10.18 ((v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 0)) | (~v84(constB75, 2))))) <=> (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))))),
% 14.97/10.18 inference(rewrite,[status(thm)],[])).
% 14.97/10.18 tff(10646,plain,
% 14.97/10.18 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 0)) | (~v84(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))))))),
% 14.97/10.18 inference(monotonicity,[status(thm)],[10645])).
% 14.97/10.18 tff(10647,plain,
% 14.97/10.18 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 0)) | (~v84(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))))))),
% 14.97/10.18 inference(transitivity,[status(thm)],[10646, 10644])).
% 14.97/10.18 tff(10648,plain,
% 14.97/10.18 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 0)) | (~v84(constB75, 2)))))),
% 14.97/10.18 inference(quant_inst,[status(thm)],[])).
% 14.97/10.18 tff(10649,plain,
% 14.97/10.18 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))))),
% 14.97/10.18 inference(modus_ponens,[status(thm)],[10648, 10647])).
% 14.97/10.18 tff(10650,plain,
% 14.97/10.18 (v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10649, 2701])).
% 14.97/10.18 tff(10651,plain,
% 14.97/10.18 ((v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))) | v84(constB75, 0)),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10652,plain,
% 14.97/10.18 (v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10651, 10639])).
% 14.97/10.18 tff(10653,plain,
% 14.97/10.18 ((~(v118(constB75) <=> (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0)))))) | (~v118(constB75)) | (~(v84(constB75, 1) | (~v84(constB75, 2)) | (~v84(constB75, 0))))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10654,plain,
% 14.97/10.18 (~v118(constB75)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10653, 10652, 10650])).
% 14.97/10.18 tff(10655,plain,
% 14.97/10.18 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 0) | (~v84(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 0) | (~v84(constB75, 2))))))),
% 14.97/10.18 inference(rewrite,[status(thm)],[])).
% 14.97/10.18 tff(10656,plain,
% 14.97/10.18 ((v117(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | (~v84(constB75, 2))))) <=> (v117(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 0) | (~v84(constB75, 2)))))),
% 14.97/10.18 inference(rewrite,[status(thm)],[])).
% 14.97/10.18 tff(10657,plain,
% 14.97/10.18 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | (~v84(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 0) | (~v84(constB75, 2))))))),
% 14.97/10.18 inference(monotonicity,[status(thm)],[10656])).
% 14.97/10.18 tff(10658,plain,
% 14.97/10.18 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | (~v84(constB75, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 0) | (~v84(constB75, 2))))))),
% 14.97/10.18 inference(transitivity,[status(thm)],[10657, 10655])).
% 14.97/10.18 tff(10659,plain,
% 14.97/10.18 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | (~v84(constB75, 2)))))),
% 14.97/10.18 inference(quant_inst,[status(thm)],[])).
% 14.97/10.18 tff(10660,plain,
% 14.97/10.18 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 0) | (~v84(constB75, 2)))))),
% 14.97/10.18 inference(modus_ponens,[status(thm)],[10659, 10658])).
% 14.97/10.18 tff(10661,plain,
% 14.97/10.18 (v117(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 0) | (~v84(constB75, 2))))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10660, 1199])).
% 14.97/10.18 tff(10662,plain,
% 14.97/10.18 ((((~v84(constB75, 1)) <=> v84(constB74, 1)) | ((~v84(constB75, 2)) <=> v84(constB74, 2)) | ((~v84(constB75, 0)) <=> v84(constB74, 0))) | (~((~v84(constB75, 1)) <=> v84(constB74, 1)))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10663,plain,
% 14.97/10.18 (~((~v84(constB75, 1)) <=> v84(constB74, 1))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10662, 7170])).
% 14.97/10.18 tff(10664,plain,
% 14.97/10.18 ((((~v123(constB74, 2)) <=> v121(constB73, 2)) | ((~v123(constB74, 1)) <=> v121(constB73, 1)) | ((~v123(constB74, 0)) <=> v121(constB73, 0))) | (~((~v123(constB74, 1)) <=> v121(constB73, 1)))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10665,plain,
% 14.97/10.18 (~((~v123(constB74, 1)) <=> v121(constB73, 1))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10664, 7179])).
% 14.97/10.18 tff(10666,plain,
% 14.97/10.18 ((((~v121(constB73, 2)) <=> v124(constB73, 2)) | ((~v121(constB73, 0)) <=> v124(constB73, 0)) | ((~v121(constB73, 1)) <=> v124(constB73, 1))) | (~((~v121(constB73, 1)) <=> v124(constB73, 1)))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10667,plain,
% 14.97/10.18 (~((~v121(constB73, 1)) <=> v124(constB73, 1))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10666, 7193])).
% 14.97/10.18 tff(10668,plain,
% 14.97/10.18 ((v124(constB73, 0) | (~v124(constB73, 2)) | (~v124(constB73, 1))) | v124(constB73, 1)),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10669,plain,
% 14.97/10.18 (v124(constB73, 1)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10668, 10541])).
% 14.97/10.18 tff(10670,plain,
% 14.97/10.18 (((~v121(constB73, 1)) <=> v124(constB73, 1)) | v121(constB73, 1) | (~v124(constB73, 1))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10671,plain,
% 14.97/10.18 (v121(constB73, 1)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10670, 10669, 10667])).
% 14.97/10.18 tff(10672,plain,
% 14.97/10.18 (((~v123(constB74, 1)) <=> v121(constB73, 1)) | v123(constB74, 1) | (~v121(constB73, 1))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10673,plain,
% 14.97/10.18 (v123(constB74, 1)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10672, 10671, 10665])).
% 14.97/10.18 tff(10674,plain,
% 14.97/10.18 ((((~v84(constB74, 0)) <=> v123(constB74, 0)) | ((~v84(constB74, 2)) <=> v123(constB74, 2)) | ((~v84(constB74, 1)) <=> v123(constB74, 1))) | (~((~v84(constB74, 1)) <=> v123(constB74, 1)))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10675,plain,
% 14.97/10.18 (~((~v84(constB74, 1)) <=> v123(constB74, 1))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10674, 10633])).
% 14.97/10.18 tff(10676,plain,
% 14.97/10.18 (((~v84(constB74, 1)) <=> v123(constB74, 1)) | v84(constB74, 1) | (~v123(constB74, 1))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10677,plain,
% 14.97/10.18 (v84(constB74, 1)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10676, 10675, 10673])).
% 14.97/10.18 tff(10678,plain,
% 14.97/10.18 (((~v84(constB75, 1)) <=> v84(constB74, 1)) | v84(constB75, 1) | (~v84(constB74, 1))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10679,plain,
% 14.97/10.18 (v84(constB75, 1)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10678, 10677, 10663])).
% 14.97/10.18 tff(10680,plain,
% 14.97/10.18 ((v84(constB75, 1) | v84(constB75, 0) | (~v84(constB75, 2))) | (~v84(constB75, 1))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10681,plain,
% 14.97/10.18 (v84(constB75, 1) | v84(constB75, 0) | (~v84(constB75, 2))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10680, 10679])).
% 14.97/10.18 tff(10682,plain,
% 14.97/10.18 ((~(v117(constB75) <=> (~(v84(constB75, 1) | v84(constB75, 0) | (~v84(constB75, 2)))))) | (~v117(constB75)) | (~(v84(constB75, 1) | v84(constB75, 0) | (~v84(constB75, 2))))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10683,plain,
% 14.97/10.18 (~v117(constB75)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10682, 10681, 10661])).
% 14.97/10.18 tff(10684,plain,
% 14.97/10.18 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB75) <=> (~(v84(constB75, 2) | (~v84(constB75, 1)) | (~v84(constB75, 0)))))),
% 14.97/10.18 inference(quant_inst,[status(thm)],[])).
% 14.97/10.18 tff(10685,plain,
% 14.97/10.18 (v116(constB75) <=> (~(v84(constB75, 2) | (~v84(constB75, 1)) | (~v84(constB75, 0))))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10684, 911])).
% 14.97/10.18 tff(10686,plain,
% 14.97/10.18 ((v84(constB75, 2) | (~v84(constB75, 1)) | (~v84(constB75, 0))) | v84(constB75, 0)),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10687,plain,
% 14.97/10.18 (v84(constB75, 2) | (~v84(constB75, 1)) | (~v84(constB75, 0))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10686, 10639])).
% 14.97/10.18 tff(10688,plain,
% 14.97/10.18 ((~(v116(constB75) <=> (~(v84(constB75, 2) | (~v84(constB75, 1)) | (~v84(constB75, 0)))))) | (~v116(constB75)) | (~(v84(constB75, 2) | (~v84(constB75, 1)) | (~v84(constB75, 0))))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10689,plain,
% 14.97/10.18 (~v116(constB75)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10688, 10687, 10685])).
% 14.97/10.18 tff(10690,plain,
% 14.97/10.18 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~(v84(constB75, 2) | v84(constB75, 0) | (~v84(constB75, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~(v84(constB75, 2) | v84(constB75, 0) | (~v84(constB75, 1))))))),
% 14.97/10.18 inference(rewrite,[status(thm)],[])).
% 14.97/10.18 tff(10691,plain,
% 14.97/10.18 ((v115(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 2) | (~v84(constB75, 1))))) <=> (v115(constB75) <=> (~(v84(constB75, 2) | v84(constB75, 0) | (~v84(constB75, 1)))))),
% 14.97/10.18 inference(rewrite,[status(thm)],[])).
% 14.97/10.18 tff(10692,plain,
% 14.97/10.18 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 2) | (~v84(constB75, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~(v84(constB75, 2) | v84(constB75, 0) | (~v84(constB75, 1))))))),
% 14.97/10.18 inference(monotonicity,[status(thm)],[10691])).
% 14.97/10.18 tff(10693,plain,
% 14.97/10.18 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 2) | (~v84(constB75, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~(v84(constB75, 2) | v84(constB75, 0) | (~v84(constB75, 1))))))),
% 14.97/10.18 inference(transitivity,[status(thm)],[10692, 10690])).
% 14.97/10.18 tff(10694,plain,
% 14.97/10.18 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 2) | (~v84(constB75, 1)))))),
% 14.97/10.18 inference(quant_inst,[status(thm)],[])).
% 14.97/10.18 tff(10695,plain,
% 14.97/10.18 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB75) <=> (~(v84(constB75, 2) | v84(constB75, 0) | (~v84(constB75, 1)))))),
% 14.97/10.18 inference(modus_ponens,[status(thm)],[10694, 10693])).
% 14.97/10.18 tff(10696,plain,
% 14.97/10.18 (v115(constB75) <=> (~(v84(constB75, 2) | v84(constB75, 0) | (~v84(constB75, 1))))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10695, 985])).
% 14.97/10.18 tff(10697,plain,
% 14.97/10.18 ((((~v84(constB75, 1)) <=> v84(constB74, 1)) | ((~v84(constB75, 2)) <=> v84(constB74, 2)) | ((~v84(constB75, 0)) <=> v84(constB74, 0))) | (~((~v84(constB75, 2)) <=> v84(constB74, 2)))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10698,plain,
% 14.97/10.18 (~((~v84(constB75, 2)) <=> v84(constB74, 2))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10697, 7170])).
% 14.97/10.18 tff(10699,plain,
% 14.97/10.18 ((((~v123(constB74, 2)) <=> v121(constB73, 2)) | ((~v123(constB74, 1)) <=> v121(constB73, 1)) | ((~v123(constB74, 0)) <=> v121(constB73, 0))) | (~((~v123(constB74, 2)) <=> v121(constB73, 2)))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10700,plain,
% 14.97/10.18 (~((~v123(constB74, 2)) <=> v121(constB73, 2))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10699, 7179])).
% 14.97/10.18 tff(10701,plain,
% 14.97/10.18 ((((~v121(constB73, 2)) <=> v124(constB73, 2)) | ((~v121(constB73, 0)) <=> v124(constB73, 0)) | ((~v121(constB73, 1)) <=> v124(constB73, 1))) | (~((~v121(constB73, 2)) <=> v124(constB73, 2)))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10702,plain,
% 14.97/10.18 (~((~v121(constB73, 2)) <=> v124(constB73, 2))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10701, 7193])).
% 14.97/10.18 tff(10703,plain,
% 14.97/10.18 ((v124(constB73, 0) | (~v124(constB73, 2)) | (~v124(constB73, 1))) | v124(constB73, 2)),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10704,plain,
% 14.97/10.18 (v124(constB73, 2)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10703, 10541])).
% 14.97/10.18 tff(10705,plain,
% 14.97/10.18 (((~v121(constB73, 2)) <=> v124(constB73, 2)) | v121(constB73, 2) | (~v124(constB73, 2))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10706,plain,
% 14.97/10.18 (v121(constB73, 2)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10705, 10704, 10702])).
% 14.97/10.18 tff(10707,plain,
% 14.97/10.18 (((~v123(constB74, 2)) <=> v121(constB73, 2)) | v123(constB74, 2) | (~v121(constB73, 2))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10708,plain,
% 14.97/10.18 (v123(constB74, 2)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10707, 10706, 10700])).
% 14.97/10.18 tff(10709,plain,
% 14.97/10.18 ((((~v84(constB74, 0)) <=> v123(constB74, 0)) | ((~v84(constB74, 2)) <=> v123(constB74, 2)) | ((~v84(constB74, 1)) <=> v123(constB74, 1))) | (~((~v84(constB74, 2)) <=> v123(constB74, 2)))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10710,plain,
% 14.97/10.18 (~((~v84(constB74, 2)) <=> v123(constB74, 2))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10709, 10633])).
% 14.97/10.18 tff(10711,plain,
% 14.97/10.18 (((~v84(constB74, 2)) <=> v123(constB74, 2)) | v84(constB74, 2) | (~v123(constB74, 2))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10712,plain,
% 14.97/10.18 (v84(constB74, 2)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10711, 10710, 10708])).
% 14.97/10.18 tff(10713,plain,
% 14.97/10.18 (((~v84(constB75, 2)) <=> v84(constB74, 2)) | v84(constB75, 2) | (~v84(constB74, 2))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10714,plain,
% 14.97/10.18 (v84(constB75, 2)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10713, 10712, 10698])).
% 14.97/10.18 tff(10715,plain,
% 14.97/10.18 ((v84(constB75, 2) | v84(constB75, 0) | (~v84(constB75, 1))) | (~v84(constB75, 2))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10716,plain,
% 14.97/10.18 (v84(constB75, 2) | v84(constB75, 0) | (~v84(constB75, 1))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10715, 10714])).
% 14.97/10.18 tff(10717,plain,
% 14.97/10.18 ((~(v115(constB75) <=> (~(v84(constB75, 2) | v84(constB75, 0) | (~v84(constB75, 1)))))) | (~v115(constB75)) | (~(v84(constB75, 2) | v84(constB75, 0) | (~v84(constB75, 1))))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10718,plain,
% 14.97/10.18 (~v115(constB75)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10717, 10716, 10696])).
% 14.97/10.18 tff(10719,plain,
% 14.97/10.18 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2))))),
% 14.97/10.18 inference(quant_inst,[status(thm)],[])).
% 14.97/10.18 tff(10720,plain,
% 14.97/10.18 (v113(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2)))),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10719, 1466])).
% 14.97/10.18 tff(10721,plain,
% 14.97/10.18 ((v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2)) | (~v84(constB75, 2))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10722,plain,
% 14.97/10.18 (v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10721, 10714])).
% 14.97/10.18 tff(10723,plain,
% 14.97/10.18 ((~(v113(constB75) <=> (~(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2))))) | (~v113(constB75)) | (~(v84(constB75, 0) | v84(constB75, 1) | v84(constB75, 2)))),
% 14.97/10.18 inference(tautology,[status(thm)],[])).
% 14.97/10.18 tff(10724,plain,
% 14.97/10.18 (~v113(constB75)),
% 14.97/10.18 inference(unit_resolution,[status(thm)],[10723, 10722, 10720])).
% 14.97/10.18 tff(10725,plain,
% 14.97/10.18 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB75) | v114(constB75) | v115(constB75) | v116(constB75) | v117(constB75) | v118(constB75) | (~(v124(constB75, 2) | v124(constB75, 1) | (~v124(constB75, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB75) | v114(constB75) | v115(constB75) | v116(constB75) | v117(constB75) | v118(constB75) | (~(v124(constB75, 2) | v124(constB75, 1) | (~v124(constB75, 0)))))),
% 14.97/10.19 inference(rewrite,[status(thm)],[])).
% 14.97/10.19 tff(10726,plain,
% 14.97/10.19 ((v118(constB75) | v117(constB75) | v116(constB75) | v115(constB75) | v114(constB75) | v113(constB75) | (~(v124(constB75, 2) | v124(constB75, 1) | (~v124(constB75, 0))))) <=> (v113(constB75) | v114(constB75) | v115(constB75) | v116(constB75) | v117(constB75) | v118(constB75) | (~(v124(constB75, 2) | v124(constB75, 1) | (~v124(constB75, 0)))))),
% 14.97/10.19 inference(rewrite,[status(thm)],[])).
% 14.97/10.19 tff(10727,plain,
% 14.97/10.19 ((~(v124(constB75, 1) | v124(constB75, 2) | (~v124(constB75, 0)))) <=> (~(v124(constB75, 2) | v124(constB75, 1) | (~v124(constB75, 0))))),
% 14.97/10.19 inference(rewrite,[status(thm)],[])).
% 14.97/10.19 tff(10728,plain,
% 14.97/10.19 ((v118(constB75) | v117(constB75) | v116(constB75) | v115(constB75) | v114(constB75) | v113(constB75) | (~(v124(constB75, 1) | v124(constB75, 2) | (~v124(constB75, 0))))) <=> (v118(constB75) | v117(constB75) | v116(constB75) | v115(constB75) | v114(constB75) | v113(constB75) | (~(v124(constB75, 2) | v124(constB75, 1) | (~v124(constB75, 0)))))),
% 14.97/10.19 inference(monotonicity,[status(thm)],[10727])).
% 14.97/10.19 tff(10729,plain,
% 14.97/10.19 ((v118(constB75) | v117(constB75) | v116(constB75) | v115(constB75) | v114(constB75) | v113(constB75) | (~(v124(constB75, 1) | v124(constB75, 2) | (~v124(constB75, 0))))) <=> (v113(constB75) | v114(constB75) | v115(constB75) | v116(constB75) | v117(constB75) | v118(constB75) | (~(v124(constB75, 2) | v124(constB75, 1) | (~v124(constB75, 0)))))),
% 14.97/10.19 inference(transitivity,[status(thm)],[10728, 10726])).
% 14.97/10.19 tff(10730,plain,
% 14.97/10.19 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB75) | v117(constB75) | v116(constB75) | v115(constB75) | v114(constB75) | v113(constB75) | (~(v124(constB75, 1) | v124(constB75, 2) | (~v124(constB75, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB75) | v114(constB75) | v115(constB75) | v116(constB75) | v117(constB75) | v118(constB75) | (~(v124(constB75, 2) | v124(constB75, 1) | (~v124(constB75, 0))))))),
% 14.97/10.19 inference(monotonicity,[status(thm)],[10729])).
% 14.97/10.19 tff(10731,plain,
% 14.97/10.19 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB75) | v117(constB75) | v116(constB75) | v115(constB75) | v114(constB75) | v113(constB75) | (~(v124(constB75, 1) | v124(constB75, 2) | (~v124(constB75, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB75) | v114(constB75) | v115(constB75) | v116(constB75) | v117(constB75) | v118(constB75) | (~(v124(constB75, 2) | v124(constB75, 1) | (~v124(constB75, 0)))))),
% 14.97/10.19 inference(transitivity,[status(thm)],[10730, 10725])).
% 14.97/10.19 tff(10732,plain,
% 14.97/10.19 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB75) | v117(constB75) | v116(constB75) | v115(constB75) | v114(constB75) | v113(constB75) | (~(v124(constB75, 1) | v124(constB75, 2) | (~v124(constB75, 0)))))),
% 14.97/10.19 inference(quant_inst,[status(thm)],[])).
% 14.97/10.19 tff(10733,plain,
% 14.97/10.19 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB75) | v114(constB75) | v115(constB75) | v116(constB75) | v117(constB75) | v118(constB75) | (~(v124(constB75, 2) | v124(constB75, 1) | (~v124(constB75, 0))))),
% 14.97/10.19 inference(modus_ponens,[status(thm)],[10732, 10731])).
% 14.97/10.19 tff(10734,plain,
% 14.97/10.19 (v113(constB75) | v114(constB75) | v115(constB75) | v116(constB75) | v117(constB75) | v118(constB75) | (~(v124(constB75, 2) | v124(constB75, 1) | (~v124(constB75, 0))))),
% 14.97/10.19 inference(unit_resolution,[status(thm)],[10733, 2777])).
% 14.97/10.19 tff(10735,plain,
% 14.97/10.19 (~(v124(constB75, 2) | v124(constB75, 1) | (~v124(constB75, 0)))),
% 14.97/10.19 inference(unit_resolution,[status(thm)],[10734, 10724, 10718, 10689, 10683, 10654, 10643])).
% 14.97/10.19 tff(10736,plain,
% 14.97/10.19 ((v124(constB75, 2) | v124(constB75, 1) | (~v124(constB75, 0))) | (~v124(constB75, 2))),
% 14.97/10.19 inference(tautology,[status(thm)],[])).
% 14.97/10.19 tff(10737,plain,
% 14.97/10.19 (~v124(constB75, 2)),
% 14.97/10.19 inference(unit_resolution,[status(thm)],[10736, 10735])).
% 14.97/10.19 tff(10738,plain,
% 14.97/10.19 (((~v121(constB75, 2)) <=> v124(constB75, 2)) | (~v121(constB75, 2)) | v124(constB75, 2)),
% 14.97/10.19 inference(tautology,[status(thm)],[])).
% 14.97/10.19 tff(10739,plain,
% 14.97/10.19 (~v121(constB75, 2)),
% 14.97/10.19 inference(unit_resolution,[status(thm)],[10738, 10737, 7134])).
% 14.97/10.19 tff(10740,plain,
% 14.97/10.19 (((~v123(constB76, 2)) <=> v121(constB75, 2)) | (~v123(constB76, 2)) | v121(constB75, 2)),
% 14.97/10.19 inference(tautology,[status(thm)],[])).
% 14.97/10.19 tff(10741,plain,
% 14.97/10.19 (~v123(constB76, 2)),
% 14.97/10.19 inference(unit_resolution,[status(thm)],[10740, 10739, 7120])).
% 14.97/10.19 tff(10742,plain,
% 14.97/10.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB75, constB76)) | (v94(constB76) <=> (~((~v95(constB76)) | (~v104(constB76))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB75, constB76)) | (v94(constB76) <=> (~((~v95(constB76)) | (~v104(constB76))))))),
% 14.97/10.19 inference(rewrite,[status(thm)],[])).
% 14.97/10.19 tff(10743,plain,
% 14.97/10.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB75, constB76)) | (v94(constB76) <=> (~((~v95(constB76)) | (~v104(constB76))))))),
% 14.97/10.19 inference(quant_inst,[status(thm)],[])).
% 14.97/10.19 tff(10744,plain,
% 14.97/10.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB75, constB76)) | (v94(constB76) <=> (~((~v95(constB76)) | (~v104(constB76)))))),
% 14.97/10.19 inference(modus_ponens,[status(thm)],[10743, 10742])).
% 14.97/10.19 tff(10745,plain,
% 14.97/10.19 (v94(constB76) <=> (~((~v95(constB76)) | (~v104(constB76))))),
% 14.97/10.19 inference(unit_resolution,[status(thm)],[10744, 7114, 770])).
% 14.97/10.19 tff(10746,plain,
% 14.97/10.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76))))))),
% 14.97/10.19 inference(rewrite,[status(thm)],[])).
% 14.97/10.19 tff(10747,plain,
% 14.97/10.19 (((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v96(constB76)) | (~v1(constB76)))))) <=> ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76))))))),
% 14.97/10.19 inference(rewrite,[status(thm)],[])).
% 14.97/10.19 tff(10748,plain,
% 14.97/10.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v96(constB76)) | (~v1(constB76))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76)))))))),
% 14.97/10.19 inference(monotonicity,[status(thm)],[10747])).
% 14.97/10.19 tff(10749,plain,
% 14.97/10.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v96(constB76)) | (~v1(constB76))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76))))))),
% 14.97/10.19 inference(transitivity,[status(thm)],[10748, 10746])).
% 14.97/10.19 tff(10750,plain,
% 14.97/10.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v96(constB76)) | (~v1(constB76))))))),
% 14.97/10.19 inference(quant_inst,[status(thm)],[])).
% 14.97/10.19 tff(10751,plain,
% 14.97/10.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76)))))),
% 14.97/10.19 inference(modus_ponens,[status(thm)],[10750, 10749])).
% 14.97/10.19 tff(10752,plain,
% 14.97/10.19 (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76))))),
% 14.97/10.19 inference(unit_resolution,[status(thm)],[10751, 7114, 790])).
% 14.97/10.19 tff(10753,plain,
% 14.97/10.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB75, constB76)) | ((~v96(constB76)) <=> v98(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB75, constB76)) | ((~v96(constB76)) <=> v98(constB76)))),
% 14.97/10.19 inference(rewrite,[status(thm)],[])).
% 14.97/10.19 tff(10754,plain,
% 14.97/10.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB75, constB76)) | ((~v96(constB76)) <=> v98(constB76)))),
% 14.97/10.19 inference(quant_inst,[status(thm)],[])).
% 14.97/10.19 tff(10755,plain,
% 14.97/10.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB75, constB76)) | ((~v96(constB76)) <=> v98(constB76))),
% 14.97/10.19 inference(modus_ponens,[status(thm)],[10754, 10753])).
% 14.97/10.19 tff(10756,plain,
% 14.97/10.19 ((~v96(constB76)) <=> v98(constB76)),
% 14.97/10.19 inference(unit_resolution,[status(thm)],[10755, 7114, 2332])).
% 14.97/10.19 tff(10757,plain,
% 14.97/10.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v98(constB76) <=> v1(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v98(constB76) <=> v1(constB75)))),
% 14.97/10.19 inference(rewrite,[status(thm)],[])).
% 14.97/10.19 tff(10758,plain,
% 14.97/10.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v98(constB76) <=> v1(constB75)))),
% 14.97/10.19 inference(quant_inst,[status(thm)],[])).
% 14.97/10.19 tff(10759,plain,
% 14.97/10.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v98(constB76) <=> v1(constB75))),
% 14.97/10.19 inference(modus_ponens,[status(thm)],[10758, 10757])).
% 14.97/10.19 tff(10760,plain,
% 14.97/10.19 (v98(constB76) <=> v1(constB75)),
% 14.97/10.19 inference(unit_resolution,[status(thm)],[10759, 7114, 2346])).
% 14.97/10.19 tff(10761,plain,
% 14.97/10.19 ((~(v98(constB76) <=> v1(constB75))) | (~v98(constB76)) | v1(constB75)),
% 14.97/10.19 inference(tautology,[status(thm)],[])).
% 14.97/10.19 tff(10762,plain,
% 14.97/10.19 ((~(v98(constB76) <=> v1(constB75))) | (~v98(constB76))),
% 14.97/10.19 inference(unit_resolution,[status(thm)],[10761, 7153])).
% 15.06/10.19 tff(10763,plain,
% 15.06/10.19 (~v98(constB76)),
% 15.06/10.19 inference(unit_resolution,[status(thm)],[10762, 10760])).
% 15.06/10.19 tff(10764,plain,
% 15.06/10.19 ((~((~v96(constB76)) <=> v98(constB76))) | v96(constB76) | v98(constB76)),
% 15.06/10.19 inference(tautology,[status(thm)],[])).
% 15.06/10.19 tff(10765,plain,
% 15.06/10.19 (v96(constB76)),
% 15.06/10.19 inference(unit_resolution,[status(thm)],[10764, 10763, 10756])).
% 15.06/10.19 tff(10766,plain,
% 15.06/10.19 (v1(constB76) <=> v1(constB76)),
% 15.06/10.19 inference(rewrite,[status(thm)],[])).
% 15.06/10.19 tff(10767,axiom,(v1(constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_76')).
% 15.06/10.19 tff(10768,plain,
% 15.06/10.19 (v1(constB76)),
% 15.06/10.19 inference(modus_ponens,[status(thm)],[10767, 10766])).
% 15.06/10.19 tff(10769,plain,
% 15.06/10.19 ((~((~v1(constB76)) | (~v96(constB76)))) | (~v1(constB76)) | (~v96(constB76))),
% 15.06/10.19 inference(tautology,[status(thm)],[])).
% 15.06/10.19 tff(10770,plain,
% 15.06/10.19 ((~((~v1(constB76)) | (~v96(constB76)))) | (~v96(constB76))),
% 15.06/10.19 inference(unit_resolution,[status(thm)],[10769, 10768])).
% 15.06/10.19 tff(10771,plain,
% 15.06/10.19 (~((~v1(constB76)) | (~v96(constB76)))),
% 15.06/10.19 inference(unit_resolution,[status(thm)],[10770, 10765])).
% 15.06/10.19 tff(10772,plain,
% 15.06/10.19 ((~(v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76)))))) | v95(constB76) | ((~v1(constB76)) | (~v96(constB76)))),
% 15.06/10.19 inference(tautology,[status(thm)],[])).
% 15.06/10.19 tff(10773,plain,
% 15.06/10.19 (v95(constB76)),
% 15.06/10.19 inference(unit_resolution,[status(thm)],[10772, 10771, 10752])).
% 15.06/10.19 tff(10774,plain,
% 15.06/10.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v102(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v102(constB75)))),
% 15.06/10.19 inference(rewrite,[status(thm)],[])).
% 15.06/10.19 tff(10775,plain,
% 15.06/10.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v102(constB75)))),
% 15.06/10.19 inference(quant_inst,[status(thm)],[])).
% 15.06/10.19 tff(10776,plain,
% 15.06/10.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v102(constB75))),
% 15.06/10.19 inference(modus_ponens,[status(thm)],[10775, 10774])).
% 15.06/10.19 tff(10777,plain,
% 15.06/10.19 (v104(constB76) <=> v102(constB75)),
% 15.06/10.19 inference(unit_resolution,[status(thm)],[10776, 7114, 2373])).
% 15.06/10.19 tff(10778,plain,
% 15.06/10.19 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB75) <=> (v105(constB75) | v106(constB75)))),
% 15.06/10.19 inference(quant_inst,[status(thm)],[])).
% 15.06/10.19 tff(10779,plain,
% 15.06/10.19 (v102(constB75) <=> (v105(constB75) | v106(constB75))),
% 15.06/10.19 inference(unit_resolution,[status(thm)],[10778, 2384])).
% 15.06/10.19 tff(10780,plain,
% 15.06/10.19 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB75) <=> (~((~v107(constB75)) | (~v120(constB75)))))),
% 15.06/10.19 inference(quant_inst,[status(thm)],[])).
% 15.06/10.19 tff(10781,plain,
% 15.06/10.19 (v106(constB75) <=> (~((~v107(constB75)) | (~v120(constB75))))),
% 15.06/10.19 inference(unit_resolution,[status(thm)],[10780, 2396])).
% 15.06/10.19 tff(10782,plain,
% 15.06/10.19 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB75) <=> (v108(constB75) | v119(constB75)))),
% 15.06/10.19 inference(quant_inst,[status(thm)],[])).
% 15.06/10.19 tff(10783,plain,
% 15.06/10.19 (v107(constB75) <=> (v108(constB75) | v119(constB75))),
% 15.06/10.19 inference(unit_resolution,[status(thm)],[10782, 2405])).
% 15.06/10.19 tff(10784,plain,
% 15.06/10.19 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB75) <=> (~(v84(constB75, 0) | (~v84(constB75, 1)) | (~v84(constB75, 2)))))),
% 15.06/10.19 inference(quant_inst,[status(thm)],[])).
% 15.06/10.19 tff(10785,plain,
% 15.06/10.19 (v119(constB75) <=> (~(v84(constB75, 0) | (~v84(constB75, 1)) | (~v84(constB75, 2))))),
% 15.06/10.19 inference(unit_resolution,[status(thm)],[10784, 2849])).
% 15.06/10.19 tff(10786,plain,
% 15.06/10.19 ((~(v84(constB75, 0) | (~v84(constB75, 1)) | (~v84(constB75, 2)))) | v84(constB75, 0) | (~v84(constB75, 1)) | (~v84(constB75, 2))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10787,plain,
% 15.06/10.20 (~(v84(constB75, 0) | (~v84(constB75, 1)) | (~v84(constB75, 2)))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10786, 10679, 10639, 10714])).
% 15.06/10.20 tff(10788,plain,
% 15.06/10.20 ((~(v119(constB75) <=> (~(v84(constB75, 0) | (~v84(constB75, 1)) | (~v84(constB75, 2)))))) | v119(constB75) | (v84(constB75, 0) | (~v84(constB75, 1)) | (~v84(constB75, 2)))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10789,plain,
% 15.06/10.20 (v119(constB75)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10788, 10787, 10785])).
% 15.06/10.20 tff(10790,plain,
% 15.06/10.20 ((v108(constB75) | v119(constB75)) | (~v119(constB75))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10791,plain,
% 15.06/10.20 (v108(constB75) | v119(constB75)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10790, 10789])).
% 15.06/10.20 tff(10792,plain,
% 15.06/10.20 ((~(v107(constB75) <=> (v108(constB75) | v119(constB75)))) | v107(constB75) | (~(v108(constB75) | v119(constB75)))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10793,plain,
% 15.06/10.20 (v107(constB75)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10792, 10791, 10783])).
% 15.06/10.20 tff(10794,plain,
% 15.06/10.20 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB75)) <=> v105(constB75))),
% 15.06/10.20 inference(quant_inst,[status(thm)],[])).
% 15.06/10.20 tff(10795,plain,
% 15.06/10.20 ((~v120(constB75)) <=> v105(constB75)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10794, 2484])).
% 15.06/10.20 tff(10796,plain,
% 15.06/10.20 ((~((~v120(constB75)) <=> v105(constB75))) | v120(constB75) | v105(constB75)),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10797,plain,
% 15.06/10.20 ((~((~v120(constB75)) <=> v105(constB75))) | v120(constB75)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10796, 7127])).
% 15.06/10.20 tff(10798,plain,
% 15.06/10.20 (v120(constB75)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10797, 10795])).
% 15.06/10.20 tff(10799,plain,
% 15.06/10.20 ((~((~v107(constB75)) | (~v120(constB75)))) | (~v107(constB75)) | (~v120(constB75))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10800,plain,
% 15.06/10.20 ((~((~v107(constB75)) | (~v120(constB75)))) | (~v107(constB75))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10799, 10798])).
% 15.06/10.20 tff(10801,plain,
% 15.06/10.20 (~((~v107(constB75)) | (~v120(constB75)))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10800, 10793])).
% 15.06/10.20 tff(10802,plain,
% 15.06/10.20 ((~(v106(constB75) <=> (~((~v107(constB75)) | (~v120(constB75)))))) | v106(constB75) | ((~v107(constB75)) | (~v120(constB75)))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10803,plain,
% 15.06/10.20 (v106(constB75)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10802, 10801, 10781])).
% 15.06/10.20 tff(10804,plain,
% 15.06/10.20 ((v105(constB75) | v106(constB75)) | (~v106(constB75))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10805,plain,
% 15.06/10.20 (v105(constB75) | v106(constB75)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10804, 10803])).
% 15.06/10.20 tff(10806,plain,
% 15.06/10.20 ((~(v102(constB75) <=> (v105(constB75) | v106(constB75)))) | v102(constB75) | (~(v105(constB75) | v106(constB75)))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10807,plain,
% 15.06/10.20 (v102(constB75)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10806, 10805, 10779])).
% 15.06/10.20 tff(10808,plain,
% 15.06/10.20 ((~(v104(constB76) <=> v102(constB75))) | v104(constB76) | (~v102(constB75))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10809,plain,
% 15.06/10.20 (v104(constB76)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10808, 10807, 10777])).
% 15.06/10.20 tff(10810,plain,
% 15.06/10.20 ((~((~v95(constB76)) | (~v104(constB76)))) | (~v95(constB76)) | (~v104(constB76))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10811,plain,
% 15.06/10.20 (~((~v95(constB76)) | (~v104(constB76)))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10810, 10809, 10773])).
% 15.06/10.20 tff(10812,plain,
% 15.06/10.20 ((~(v94(constB76) <=> (~((~v95(constB76)) | (~v104(constB76)))))) | v94(constB76) | ((~v95(constB76)) | (~v104(constB76)))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10813,plain,
% 15.06/10.20 (v94(constB76)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10812, 10811, 10745])).
% 15.06/10.20 tff(10814,plain,
% 15.06/10.20 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB76)) | (~(((~v84(constB76, 2)) <=> v123(constB76, 2)) | ((~v84(constB76, 1)) <=> v123(constB76, 1)) | ((~v84(constB76, 0)) <=> v123(constB76, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB76)) | (~(((~v84(constB76, 2)) <=> v123(constB76, 2)) | ((~v84(constB76, 1)) <=> v123(constB76, 1)) | ((~v84(constB76, 0)) <=> v123(constB76, 0)))))),
% 15.06/10.20 inference(rewrite,[status(thm)],[])).
% 15.06/10.20 tff(10815,plain,
% 15.06/10.20 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB76)) | (~(((~v84(constB76, 2)) <=> v123(constB76, 2)) | ((~v84(constB76, 1)) <=> v123(constB76, 1)) | ((~v84(constB76, 0)) <=> v123(constB76, 0)))))),
% 15.06/10.20 inference(quant_inst,[status(thm)],[])).
% 15.06/10.20 tff(10816,plain,
% 15.06/10.20 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB76)) | (~(((~v84(constB76, 2)) <=> v123(constB76, 2)) | ((~v84(constB76, 1)) <=> v123(constB76, 1)) | ((~v84(constB76, 0)) <=> v123(constB76, 0))))),
% 15.06/10.20 inference(modus_ponens,[status(thm)],[10815, 10814])).
% 15.06/10.20 tff(10817,plain,
% 15.06/10.20 ((~v94(constB76)) | (~(((~v84(constB76, 2)) <=> v123(constB76, 2)) | ((~v84(constB76, 1)) <=> v123(constB76, 1)) | ((~v84(constB76, 0)) <=> v123(constB76, 0))))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10816, 2517])).
% 15.06/10.20 tff(10818,plain,
% 15.06/10.20 (~(((~v84(constB76, 2)) <=> v123(constB76, 2)) | ((~v84(constB76, 1)) <=> v123(constB76, 1)) | ((~v84(constB76, 0)) <=> v123(constB76, 0)))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10817, 10813])).
% 15.06/10.20 tff(10819,plain,
% 15.06/10.20 ((((~v84(constB76, 2)) <=> v123(constB76, 2)) | ((~v84(constB76, 1)) <=> v123(constB76, 1)) | ((~v84(constB76, 0)) <=> v123(constB76, 0))) | (~((~v84(constB76, 2)) <=> v123(constB76, 2)))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10820,plain,
% 15.06/10.20 (~((~v84(constB76, 2)) <=> v123(constB76, 2))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10819, 10818])).
% 15.06/10.20 tff(10821,plain,
% 15.06/10.20 (((~v84(constB76, 2)) <=> v123(constB76, 2)) | (~v84(constB76, 2)) | v123(constB76, 2)),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10822,plain,
% 15.06/10.20 (~v84(constB76, 2)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10821, 10820, 10741])).
% 15.06/10.20 tff(10823,plain,
% 15.06/10.20 (((~v84(constB77, 2)) <=> v84(constB76, 2)) | (~v84(constB77, 2)) | v84(constB76, 2)),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10824,plain,
% 15.06/10.20 (~v84(constB77, 2)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10823, 10822, 7111])).
% 15.06/10.20 tff(10825,plain,
% 15.06/10.20 ((((~v84(constB77, 1)) <=> v84(constB76, 1)) | ((~v84(constB77, 2)) <=> v84(constB76, 2)) | ((~v84(constB77, 0)) <=> v84(constB76, 0))) | (~((~v84(constB77, 0)) <=> v84(constB76, 0)))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10826,plain,
% 15.06/10.20 (~((~v84(constB77, 0)) <=> v84(constB76, 0))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10825, 7109])).
% 15.06/10.20 tff(10827,plain,
% 15.06/10.20 ((((~v123(constB76, 2)) <=> v121(constB75, 2)) | ((~v123(constB76, 1)) <=> v121(constB75, 1)) | ((~v123(constB76, 0)) <=> v121(constB75, 0))) | (~((~v123(constB76, 0)) <=> v121(constB75, 0)))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10828,plain,
% 15.06/10.20 (~((~v123(constB76, 0)) <=> v121(constB75, 0))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10827, 7118])).
% 15.06/10.20 tff(10829,plain,
% 15.06/10.20 ((((~v121(constB75, 2)) <=> v124(constB75, 2)) | ((~v121(constB75, 0)) <=> v124(constB75, 0)) | ((~v121(constB75, 1)) <=> v124(constB75, 1))) | (~((~v121(constB75, 0)) <=> v124(constB75, 0)))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10830,plain,
% 15.06/10.20 (~((~v121(constB75, 0)) <=> v124(constB75, 0))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10829, 7132])).
% 15.06/10.20 tff(10831,plain,
% 15.06/10.20 ((v124(constB75, 2) | v124(constB75, 1) | (~v124(constB75, 0))) | v124(constB75, 0)),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10832,plain,
% 15.06/10.20 (v124(constB75, 0)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10831, 10735])).
% 15.06/10.20 tff(10833,plain,
% 15.06/10.20 (((~v121(constB75, 0)) <=> v124(constB75, 0)) | v121(constB75, 0) | (~v124(constB75, 0))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10834,plain,
% 15.06/10.20 (v121(constB75, 0)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10833, 10832, 10830])).
% 15.06/10.20 tff(10835,plain,
% 15.06/10.20 (((~v123(constB76, 0)) <=> v121(constB75, 0)) | v123(constB76, 0) | (~v121(constB75, 0))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10836,plain,
% 15.06/10.20 (v123(constB76, 0)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10835, 10834, 10828])).
% 15.06/10.20 tff(10837,plain,
% 15.06/10.20 ((((~v84(constB76, 2)) <=> v123(constB76, 2)) | ((~v84(constB76, 1)) <=> v123(constB76, 1)) | ((~v84(constB76, 0)) <=> v123(constB76, 0))) | (~((~v84(constB76, 0)) <=> v123(constB76, 0)))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10838,plain,
% 15.06/10.20 (~((~v84(constB76, 0)) <=> v123(constB76, 0))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10837, 10818])).
% 15.06/10.20 tff(10839,plain,
% 15.06/10.20 (((~v84(constB76, 0)) <=> v123(constB76, 0)) | v84(constB76, 0) | (~v123(constB76, 0))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10840,plain,
% 15.06/10.20 (v84(constB76, 0)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10839, 10838, 10836])).
% 15.06/10.20 tff(10841,plain,
% 15.06/10.20 (((~v84(constB77, 0)) <=> v84(constB76, 0)) | v84(constB77, 0) | (~v84(constB76, 0))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10842,plain,
% 15.06/10.20 (v84(constB77, 0)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10841, 10840, 10826])).
% 15.06/10.20 tff(10843,plain,
% 15.06/10.20 ((((~v84(constB77, 1)) <=> v84(constB76, 1)) | ((~v84(constB77, 2)) <=> v84(constB76, 2)) | ((~v84(constB77, 0)) <=> v84(constB76, 0))) | (~((~v84(constB77, 1)) <=> v84(constB76, 1)))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10844,plain,
% 15.06/10.20 (~((~v84(constB77, 1)) <=> v84(constB76, 1))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10843, 7109])).
% 15.06/10.20 tff(10845,plain,
% 15.06/10.20 ((((~v123(constB76, 2)) <=> v121(constB75, 2)) | ((~v123(constB76, 1)) <=> v121(constB75, 1)) | ((~v123(constB76, 0)) <=> v121(constB75, 0))) | (~((~v123(constB76, 1)) <=> v121(constB75, 1)))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10846,plain,
% 15.06/10.20 (~((~v123(constB76, 1)) <=> v121(constB75, 1))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10845, 7118])).
% 15.06/10.20 tff(10847,plain,
% 15.06/10.20 ((((~v121(constB75, 2)) <=> v124(constB75, 2)) | ((~v121(constB75, 0)) <=> v124(constB75, 0)) | ((~v121(constB75, 1)) <=> v124(constB75, 1))) | (~((~v121(constB75, 1)) <=> v124(constB75, 1)))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10848,plain,
% 15.06/10.20 (~((~v121(constB75, 1)) <=> v124(constB75, 1))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10847, 7132])).
% 15.06/10.20 tff(10849,plain,
% 15.06/10.20 ((v124(constB75, 2) | v124(constB75, 1) | (~v124(constB75, 0))) | (~v124(constB75, 1))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10850,plain,
% 15.06/10.20 (~v124(constB75, 1)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10849, 10735])).
% 15.06/10.20 tff(10851,plain,
% 15.06/10.20 (((~v121(constB75, 1)) <=> v124(constB75, 1)) | (~v121(constB75, 1)) | v124(constB75, 1)),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10852,plain,
% 15.06/10.20 (~v121(constB75, 1)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10851, 10850, 10848])).
% 15.06/10.20 tff(10853,plain,
% 15.06/10.20 (((~v123(constB76, 1)) <=> v121(constB75, 1)) | (~v123(constB76, 1)) | v121(constB75, 1)),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10854,plain,
% 15.06/10.20 (~v123(constB76, 1)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10853, 10852, 10846])).
% 15.06/10.20 tff(10855,plain,
% 15.06/10.20 ((((~v84(constB76, 2)) <=> v123(constB76, 2)) | ((~v84(constB76, 1)) <=> v123(constB76, 1)) | ((~v84(constB76, 0)) <=> v123(constB76, 0))) | (~((~v84(constB76, 1)) <=> v123(constB76, 1)))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10856,plain,
% 15.06/10.20 (~((~v84(constB76, 1)) <=> v123(constB76, 1))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10855, 10818])).
% 15.06/10.20 tff(10857,plain,
% 15.06/10.20 (((~v84(constB76, 1)) <=> v123(constB76, 1)) | (~v84(constB76, 1)) | v123(constB76, 1)),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10858,plain,
% 15.06/10.20 (~v84(constB76, 1)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10857, 10856, 10854])).
% 15.06/10.20 tff(10859,plain,
% 15.06/10.20 (((~v84(constB77, 1)) <=> v84(constB76, 1)) | (~v84(constB77, 1)) | v84(constB76, 1)),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10860,plain,
% 15.06/10.20 (~v84(constB77, 1)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10859, 10858, 10844])).
% 15.06/10.20 tff(10861,plain,
% 15.06/10.20 ((~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))) | v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10862,plain,
% 15.06/10.20 (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10861, 10860, 10842, 10824])).
% 15.06/10.20 tff(10863,plain,
% 15.06/10.20 ((~(v114(constB77) <=> (~(v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))))) | v114(constB77) | (v84(constB77, 1) | v84(constB77, 2) | (~v84(constB77, 0)))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10864,plain,
% 15.06/10.20 (v114(constB77)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10863, 10862, 7075])).
% 15.06/10.20 tff(10865,plain,
% 15.06/10.20 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB77)) | (~(v124(constB77, 2) | v124(constB77, 0) | (~v124(constB77, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB77)) | (~(v124(constB77, 2) | v124(constB77, 0) | (~v124(constB77, 1)))))),
% 15.06/10.20 inference(rewrite,[status(thm)],[])).
% 15.06/10.20 tff(10866,plain,
% 15.06/10.20 (((~v114(constB77)) | (~(v124(constB77, 0) | v124(constB77, 2) | (~v124(constB77, 1))))) <=> ((~v114(constB77)) | (~(v124(constB77, 2) | v124(constB77, 0) | (~v124(constB77, 1)))))),
% 15.06/10.20 inference(rewrite,[status(thm)],[])).
% 15.06/10.20 tff(10867,plain,
% 15.06/10.20 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB77)) | (~(v124(constB77, 0) | v124(constB77, 2) | (~v124(constB77, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB77)) | (~(v124(constB77, 2) | v124(constB77, 0) | (~v124(constB77, 1))))))),
% 15.06/10.20 inference(monotonicity,[status(thm)],[10866])).
% 15.06/10.20 tff(10868,plain,
% 15.06/10.20 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB77)) | (~(v124(constB77, 0) | v124(constB77, 2) | (~v124(constB77, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB77)) | (~(v124(constB77, 2) | v124(constB77, 0) | (~v124(constB77, 1)))))),
% 15.06/10.20 inference(transitivity,[status(thm)],[10867, 10865])).
% 15.06/10.20 tff(10869,plain,
% 15.06/10.20 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB77)) | (~(v124(constB77, 0) | v124(constB77, 2) | (~v124(constB77, 1)))))),
% 15.06/10.20 inference(quant_inst,[status(thm)],[])).
% 15.06/10.20 tff(10870,plain,
% 15.06/10.20 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB77)) | (~(v124(constB77, 2) | v124(constB77, 0) | (~v124(constB77, 1))))),
% 15.06/10.20 inference(modus_ponens,[status(thm)],[10869, 10868])).
% 15.06/10.20 tff(10871,plain,
% 15.06/10.20 ((~v114(constB77)) | (~(v124(constB77, 2) | v124(constB77, 0) | (~v124(constB77, 1))))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10870, 2964])).
% 15.06/10.20 tff(10872,plain,
% 15.06/10.20 (~(v124(constB77, 2) | v124(constB77, 0) | (~v124(constB77, 1)))),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10871, 10864])).
% 15.06/10.20 tff(10873,plain,
% 15.06/10.20 ((v124(constB77, 2) | v124(constB77, 0) | (~v124(constB77, 1))) | (~v124(constB77, 2))),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10874,plain,
% 15.06/10.20 (~v124(constB77, 2)),
% 15.06/10.20 inference(unit_resolution,[status(thm)],[10873, 10872])).
% 15.06/10.20 tff(10875,plain,
% 15.06/10.20 (((~v121(constB77, 2)) <=> v124(constB77, 2)) | (~v121(constB77, 2)) | v124(constB77, 2)),
% 15.06/10.20 inference(tautology,[status(thm)],[])).
% 15.06/10.20 tff(10876,plain,
% 15.06/10.20 (~v121(constB77, 2)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10875, 10874, 7073])).
% 15.06/10.21 tff(10877,plain,
% 15.06/10.21 (((~v123(constB78, 2)) <=> v121(constB77, 2)) | (~v123(constB78, 2)) | v121(constB77, 2)),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10878,plain,
% 15.06/10.21 (~v123(constB78, 2)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10877, 10876, 7059])).
% 15.06/10.21 tff(10879,plain,
% 15.06/10.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB77, constB78)) | (v94(constB78) <=> (~((~v95(constB78)) | (~v104(constB78))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB77, constB78)) | (v94(constB78) <=> (~((~v95(constB78)) | (~v104(constB78))))))),
% 15.06/10.21 inference(rewrite,[status(thm)],[])).
% 15.06/10.21 tff(10880,plain,
% 15.06/10.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB77, constB78)) | (v94(constB78) <=> (~((~v95(constB78)) | (~v104(constB78))))))),
% 15.06/10.21 inference(quant_inst,[status(thm)],[])).
% 15.06/10.21 tff(10881,plain,
% 15.06/10.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB77, constB78)) | (v94(constB78) <=> (~((~v95(constB78)) | (~v104(constB78)))))),
% 15.06/10.21 inference(modus_ponens,[status(thm)],[10880, 10879])).
% 15.06/10.21 tff(10882,plain,
% 15.06/10.21 (v94(constB78) <=> (~((~v95(constB78)) | (~v104(constB78))))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10881, 7053, 770])).
% 15.06/10.21 tff(10883,plain,
% 15.06/10.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78))))))),
% 15.06/10.21 inference(rewrite,[status(thm)],[])).
% 15.06/10.21 tff(10884,plain,
% 15.06/10.21 (((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v96(constB78)) | (~v1(constB78)))))) <=> ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78))))))),
% 15.06/10.21 inference(rewrite,[status(thm)],[])).
% 15.06/10.21 tff(10885,plain,
% 15.06/10.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v96(constB78)) | (~v1(constB78))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78)))))))),
% 15.06/10.21 inference(monotonicity,[status(thm)],[10884])).
% 15.06/10.21 tff(10886,plain,
% 15.06/10.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v96(constB78)) | (~v1(constB78))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78))))))),
% 15.06/10.21 inference(transitivity,[status(thm)],[10885, 10883])).
% 15.06/10.21 tff(10887,plain,
% 15.06/10.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v96(constB78)) | (~v1(constB78))))))),
% 15.06/10.21 inference(quant_inst,[status(thm)],[])).
% 15.06/10.21 tff(10888,plain,
% 15.06/10.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78)))))),
% 15.06/10.21 inference(modus_ponens,[status(thm)],[10887, 10886])).
% 15.06/10.21 tff(10889,plain,
% 15.06/10.21 (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78))))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10888, 7053, 790])).
% 15.06/10.21 tff(10890,plain,
% 15.06/10.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB77, constB78)) | ((~v96(constB78)) <=> v98(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB77, constB78)) | ((~v96(constB78)) <=> v98(constB78)))),
% 15.06/10.21 inference(rewrite,[status(thm)],[])).
% 15.06/10.21 tff(10891,plain,
% 15.06/10.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB77, constB78)) | ((~v96(constB78)) <=> v98(constB78)))),
% 15.06/10.21 inference(quant_inst,[status(thm)],[])).
% 15.06/10.21 tff(10892,plain,
% 15.06/10.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB77, constB78)) | ((~v96(constB78)) <=> v98(constB78))),
% 15.06/10.21 inference(modus_ponens,[status(thm)],[10891, 10890])).
% 15.06/10.21 tff(10893,plain,
% 15.06/10.21 ((~v96(constB78)) <=> v98(constB78)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10892, 7053, 2332])).
% 15.06/10.21 tff(10894,plain,
% 15.06/10.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v98(constB78) <=> v1(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v98(constB78) <=> v1(constB77)))),
% 15.06/10.21 inference(rewrite,[status(thm)],[])).
% 15.06/10.21 tff(10895,plain,
% 15.06/10.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v98(constB78) <=> v1(constB77)))),
% 15.06/10.21 inference(quant_inst,[status(thm)],[])).
% 15.06/10.21 tff(10896,plain,
% 15.06/10.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v98(constB78) <=> v1(constB77))),
% 15.06/10.21 inference(modus_ponens,[status(thm)],[10895, 10894])).
% 15.06/10.21 tff(10897,plain,
% 15.06/10.21 (v98(constB78) <=> v1(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10896, 7053, 2346])).
% 15.06/10.21 tff(10898,plain,
% 15.06/10.21 ((~(v98(constB78) <=> v1(constB77))) | (~v98(constB78)) | v1(constB77)),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10899,plain,
% 15.06/10.21 ((~(v98(constB78) <=> v1(constB77))) | (~v98(constB78))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10898, 7092])).
% 15.06/10.21 tff(10900,plain,
% 15.06/10.21 (~v98(constB78)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10899, 10897])).
% 15.06/10.21 tff(10901,plain,
% 15.06/10.21 ((~((~v96(constB78)) <=> v98(constB78))) | v96(constB78) | v98(constB78)),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10902,plain,
% 15.06/10.21 (v96(constB78)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10901, 10900, 10893])).
% 15.06/10.21 tff(10903,plain,
% 15.06/10.21 (v1(constB78) <=> v1(constB78)),
% 15.06/10.21 inference(rewrite,[status(thm)],[])).
% 15.06/10.21 tff(10904,axiom,(v1(constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_78')).
% 15.06/10.21 tff(10905,plain,
% 15.06/10.21 (v1(constB78)),
% 15.06/10.21 inference(modus_ponens,[status(thm)],[10904, 10903])).
% 15.06/10.21 tff(10906,plain,
% 15.06/10.21 ((~((~v1(constB78)) | (~v96(constB78)))) | (~v1(constB78)) | (~v96(constB78))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10907,plain,
% 15.06/10.21 ((~((~v1(constB78)) | (~v96(constB78)))) | (~v96(constB78))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10906, 10905])).
% 15.06/10.21 tff(10908,plain,
% 15.06/10.21 (~((~v1(constB78)) | (~v96(constB78)))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10907, 10902])).
% 15.06/10.21 tff(10909,plain,
% 15.06/10.21 ((~(v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78)))))) | v95(constB78) | ((~v1(constB78)) | (~v96(constB78)))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10910,plain,
% 15.06/10.21 (v95(constB78)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10909, 10908, 10889])).
% 15.06/10.21 tff(10911,plain,
% 15.06/10.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v102(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v102(constB77)))),
% 15.06/10.21 inference(rewrite,[status(thm)],[])).
% 15.06/10.21 tff(10912,plain,
% 15.06/10.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v102(constB77)))),
% 15.06/10.21 inference(quant_inst,[status(thm)],[])).
% 15.06/10.21 tff(10913,plain,
% 15.06/10.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v102(constB77))),
% 15.06/10.21 inference(modus_ponens,[status(thm)],[10912, 10911])).
% 15.06/10.21 tff(10914,plain,
% 15.06/10.21 (v104(constB78) <=> v102(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10913, 7053, 2373])).
% 15.06/10.21 tff(10915,plain,
% 15.06/10.21 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB77) <=> (v105(constB77) | v106(constB77)))),
% 15.06/10.21 inference(quant_inst,[status(thm)],[])).
% 15.06/10.21 tff(10916,plain,
% 15.06/10.21 (v102(constB77) <=> (v105(constB77) | v106(constB77))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10915, 2384])).
% 15.06/10.21 tff(10917,plain,
% 15.06/10.21 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB77) <=> (~((~v107(constB77)) | (~v120(constB77)))))),
% 15.06/10.21 inference(quant_inst,[status(thm)],[])).
% 15.06/10.21 tff(10918,plain,
% 15.06/10.21 (v106(constB77) <=> (~((~v107(constB77)) | (~v120(constB77))))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10917, 2396])).
% 15.06/10.21 tff(10919,plain,
% 15.06/10.21 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB77) <=> (v108(constB77) | v119(constB77)))),
% 15.06/10.21 inference(quant_inst,[status(thm)],[])).
% 15.06/10.21 tff(10920,plain,
% 15.06/10.21 (v107(constB77) <=> (v108(constB77) | v119(constB77))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10919, 2405])).
% 15.06/10.21 tff(10921,plain,
% 15.06/10.21 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB77) <=> (v109(constB77) | v118(constB77)))),
% 15.06/10.21 inference(quant_inst,[status(thm)],[])).
% 15.06/10.21 tff(10922,plain,
% 15.06/10.21 (v108(constB77) <=> (v109(constB77) | v118(constB77))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10921, 2414])).
% 15.06/10.21 tff(10923,plain,
% 15.06/10.21 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB77) <=> (v110(constB77) | v117(constB77)))),
% 15.06/10.21 inference(quant_inst,[status(thm)],[])).
% 15.06/10.21 tff(10924,plain,
% 15.06/10.21 (v109(constB77) <=> (v110(constB77) | v117(constB77))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10923, 2423])).
% 15.06/10.21 tff(10925,plain,
% 15.06/10.21 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB77) <=> (v111(constB77) | v116(constB77)))),
% 15.06/10.21 inference(quant_inst,[status(thm)],[])).
% 15.06/10.21 tff(10926,plain,
% 15.06/10.21 (v110(constB77) <=> (v111(constB77) | v116(constB77))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10925, 2432])).
% 15.06/10.21 tff(10927,plain,
% 15.06/10.21 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB77) <=> (v112(constB77) | v115(constB77)))),
% 15.06/10.21 inference(quant_inst,[status(thm)],[])).
% 15.06/10.21 tff(10928,plain,
% 15.06/10.21 (v111(constB77) <=> (v112(constB77) | v115(constB77))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10927, 2441])).
% 15.06/10.21 tff(10929,plain,
% 15.06/10.21 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB77) <=> (v113(constB77) | v114(constB77)))),
% 15.06/10.21 inference(quant_inst,[status(thm)],[])).
% 15.06/10.21 tff(10930,plain,
% 15.06/10.21 (v112(constB77) <=> (v113(constB77) | v114(constB77))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10929, 2450])).
% 15.06/10.21 tff(10931,plain,
% 15.06/10.21 ((v113(constB77) | v114(constB77)) | (~v114(constB77))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10932,plain,
% 15.06/10.21 (v113(constB77) | v114(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10931, 10864])).
% 15.06/10.21 tff(10933,plain,
% 15.06/10.21 ((~(v112(constB77) <=> (v113(constB77) | v114(constB77)))) | v112(constB77) | (~(v113(constB77) | v114(constB77)))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10934,plain,
% 15.06/10.21 (v112(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10933, 10932, 10930])).
% 15.06/10.21 tff(10935,plain,
% 15.06/10.21 ((v112(constB77) | v115(constB77)) | (~v112(constB77))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10936,plain,
% 15.06/10.21 (v112(constB77) | v115(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10935, 10934])).
% 15.06/10.21 tff(10937,plain,
% 15.06/10.21 ((~(v111(constB77) <=> (v112(constB77) | v115(constB77)))) | v111(constB77) | (~(v112(constB77) | v115(constB77)))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10938,plain,
% 15.06/10.21 (v111(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10937, 10936, 10928])).
% 15.06/10.21 tff(10939,plain,
% 15.06/10.21 ((v111(constB77) | v116(constB77)) | (~v111(constB77))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10940,plain,
% 15.06/10.21 (v111(constB77) | v116(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10939, 10938])).
% 15.06/10.21 tff(10941,plain,
% 15.06/10.21 ((~(v110(constB77) <=> (v111(constB77) | v116(constB77)))) | v110(constB77) | (~(v111(constB77) | v116(constB77)))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10942,plain,
% 15.06/10.21 (v110(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10941, 10940, 10926])).
% 15.06/10.21 tff(10943,plain,
% 15.06/10.21 ((v110(constB77) | v117(constB77)) | (~v110(constB77))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10944,plain,
% 15.06/10.21 (v110(constB77) | v117(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10943, 10942])).
% 15.06/10.21 tff(10945,plain,
% 15.06/10.21 ((~(v109(constB77) <=> (v110(constB77) | v117(constB77)))) | v109(constB77) | (~(v110(constB77) | v117(constB77)))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10946,plain,
% 15.06/10.21 (v109(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10945, 10944, 10924])).
% 15.06/10.21 tff(10947,plain,
% 15.06/10.21 ((v109(constB77) | v118(constB77)) | (~v109(constB77))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10948,plain,
% 15.06/10.21 (v109(constB77) | v118(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10947, 10946])).
% 15.06/10.21 tff(10949,plain,
% 15.06/10.21 ((~(v108(constB77) <=> (v109(constB77) | v118(constB77)))) | v108(constB77) | (~(v109(constB77) | v118(constB77)))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10950,plain,
% 15.06/10.21 (v108(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10949, 10948, 10922])).
% 15.06/10.21 tff(10951,plain,
% 15.06/10.21 ((v108(constB77) | v119(constB77)) | (~v108(constB77))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10952,plain,
% 15.06/10.21 (v108(constB77) | v119(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10951, 10950])).
% 15.06/10.21 tff(10953,plain,
% 15.06/10.21 ((~(v107(constB77) <=> (v108(constB77) | v119(constB77)))) | v107(constB77) | (~(v108(constB77) | v119(constB77)))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10954,plain,
% 15.06/10.21 (v107(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10953, 10952, 10920])).
% 15.06/10.21 tff(10955,plain,
% 15.06/10.21 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB77)) <=> v105(constB77))),
% 15.06/10.21 inference(quant_inst,[status(thm)],[])).
% 15.06/10.21 tff(10956,plain,
% 15.06/10.21 ((~v120(constB77)) <=> v105(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10955, 2484])).
% 15.06/10.21 tff(10957,plain,
% 15.06/10.21 ((~((~v120(constB77)) <=> v105(constB77))) | v120(constB77) | v105(constB77)),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10958,plain,
% 15.06/10.21 ((~((~v120(constB77)) <=> v105(constB77))) | v120(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10957, 7066])).
% 15.06/10.21 tff(10959,plain,
% 15.06/10.21 (v120(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10958, 10956])).
% 15.06/10.21 tff(10960,plain,
% 15.06/10.21 ((~((~v107(constB77)) | (~v120(constB77)))) | (~v107(constB77)) | (~v120(constB77))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10961,plain,
% 15.06/10.21 ((~((~v107(constB77)) | (~v120(constB77)))) | (~v107(constB77))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10960, 10959])).
% 15.06/10.21 tff(10962,plain,
% 15.06/10.21 (~((~v107(constB77)) | (~v120(constB77)))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10961, 10954])).
% 15.06/10.21 tff(10963,plain,
% 15.06/10.21 ((~(v106(constB77) <=> (~((~v107(constB77)) | (~v120(constB77)))))) | v106(constB77) | ((~v107(constB77)) | (~v120(constB77)))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10964,plain,
% 15.06/10.21 (v106(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10963, 10962, 10918])).
% 15.06/10.21 tff(10965,plain,
% 15.06/10.21 ((v105(constB77) | v106(constB77)) | (~v106(constB77))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10966,plain,
% 15.06/10.21 (v105(constB77) | v106(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10965, 10964])).
% 15.06/10.21 tff(10967,plain,
% 15.06/10.21 ((~(v102(constB77) <=> (v105(constB77) | v106(constB77)))) | v102(constB77) | (~(v105(constB77) | v106(constB77)))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10968,plain,
% 15.06/10.21 (v102(constB77)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10967, 10966, 10916])).
% 15.06/10.21 tff(10969,plain,
% 15.06/10.21 ((~(v104(constB78) <=> v102(constB77))) | v104(constB78) | (~v102(constB77))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10970,plain,
% 15.06/10.21 (v104(constB78)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10969, 10968, 10914])).
% 15.06/10.21 tff(10971,plain,
% 15.06/10.21 ((~((~v95(constB78)) | (~v104(constB78)))) | (~v95(constB78)) | (~v104(constB78))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10972,plain,
% 15.06/10.21 (~((~v95(constB78)) | (~v104(constB78)))),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10971, 10970, 10910])).
% 15.06/10.21 tff(10973,plain,
% 15.06/10.21 ((~(v94(constB78) <=> (~((~v95(constB78)) | (~v104(constB78)))))) | v94(constB78) | ((~v95(constB78)) | (~v104(constB78)))),
% 15.06/10.21 inference(tautology,[status(thm)],[])).
% 15.06/10.21 tff(10974,plain,
% 15.06/10.21 (v94(constB78)),
% 15.06/10.21 inference(unit_resolution,[status(thm)],[10973, 10972, 10882])).
% 15.06/10.21 tff(10975,plain,
% 15.06/10.21 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB78)) | (~(((~v84(constB78, 0)) <=> v123(constB78, 0)) | ((~v84(constB78, 2)) <=> v123(constB78, 2)) | ((~v84(constB78, 1)) <=> v123(constB78, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB78)) | (~(((~v84(constB78, 0)) <=> v123(constB78, 0)) | ((~v84(constB78, 2)) <=> v123(constB78, 2)) | ((~v84(constB78, 1)) <=> v123(constB78, 1)))))),
% 15.06/10.21 inference(rewrite,[status(thm)],[])).
% 15.06/10.21 tff(10976,plain,
% 15.06/10.21 (((~v94(constB78)) | (~(((~v84(constB78, 2)) <=> v123(constB78, 2)) | ((~v84(constB78, 1)) <=> v123(constB78, 1)) | ((~v84(constB78, 0)) <=> v123(constB78, 0))))) <=> ((~v94(constB78)) | (~(((~v84(constB78, 0)) <=> v123(constB78, 0)) | ((~v84(constB78, 2)) <=> v123(constB78, 2)) | ((~v84(constB78, 1)) <=> v123(constB78, 1)))))),
% 15.06/10.21 inference(rewrite,[status(thm)],[])).
% 15.06/10.21 tff(10977,plain,
% 15.06/10.21 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB78)) | (~(((~v84(constB78, 2)) <=> v123(constB78, 2)) | ((~v84(constB78, 1)) <=> v123(constB78, 1)) | ((~v84(constB78, 0)) <=> v123(constB78, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB78)) | (~(((~v84(constB78, 0)) <=> v123(constB78, 0)) | ((~v84(constB78, 2)) <=> v123(constB78, 2)) | ((~v84(constB78, 1)) <=> v123(constB78, 1))))))),
% 15.06/10.21 inference(monotonicity,[status(thm)],[10976])).
% 15.06/10.21 tff(10978,plain,
% 15.06/10.21 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB78)) | (~(((~v84(constB78, 2)) <=> v123(constB78, 2)) | ((~v84(constB78, 1)) <=> v123(constB78, 1)) | ((~v84(constB78, 0)) <=> v123(constB78, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB78)) | (~(((~v84(constB78, 0)) <=> v123(constB78, 0)) | ((~v84(constB78, 2)) <=> v123(constB78, 2)) | ((~v84(constB78, 1)) <=> v123(constB78, 1)))))),
% 15.06/10.22 inference(transitivity,[status(thm)],[10977, 10975])).
% 15.06/10.22 tff(10979,plain,
% 15.06/10.22 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB78)) | (~(((~v84(constB78, 2)) <=> v123(constB78, 2)) | ((~v84(constB78, 1)) <=> v123(constB78, 1)) | ((~v84(constB78, 0)) <=> v123(constB78, 0)))))),
% 15.06/10.22 inference(quant_inst,[status(thm)],[])).
% 15.06/10.22 tff(10980,plain,
% 15.06/10.22 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB78)) | (~(((~v84(constB78, 0)) <=> v123(constB78, 0)) | ((~v84(constB78, 2)) <=> v123(constB78, 2)) | ((~v84(constB78, 1)) <=> v123(constB78, 1))))),
% 15.06/10.22 inference(modus_ponens,[status(thm)],[10979, 10978])).
% 15.06/10.22 tff(10981,plain,
% 15.06/10.22 ((~v94(constB78)) | (~(((~v84(constB78, 0)) <=> v123(constB78, 0)) | ((~v84(constB78, 2)) <=> v123(constB78, 2)) | ((~v84(constB78, 1)) <=> v123(constB78, 1))))),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[10980, 2517])).
% 15.06/10.22 tff(10982,plain,
% 15.06/10.22 (~(((~v84(constB78, 0)) <=> v123(constB78, 0)) | ((~v84(constB78, 2)) <=> v123(constB78, 2)) | ((~v84(constB78, 1)) <=> v123(constB78, 1)))),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[10981, 10974])).
% 15.06/10.22 tff(10983,plain,
% 15.06/10.22 ((((~v84(constB78, 0)) <=> v123(constB78, 0)) | ((~v84(constB78, 2)) <=> v123(constB78, 2)) | ((~v84(constB78, 1)) <=> v123(constB78, 1))) | (~((~v84(constB78, 2)) <=> v123(constB78, 2)))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(10984,plain,
% 15.06/10.22 (~((~v84(constB78, 2)) <=> v123(constB78, 2))),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[10983, 10982])).
% 15.06/10.22 tff(10985,plain,
% 15.06/10.22 (((~v84(constB78, 2)) <=> v123(constB78, 2)) | (~v84(constB78, 2)) | v123(constB78, 2)),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(10986,plain,
% 15.06/10.22 (~v84(constB78, 2)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[10985, 10984, 10878])).
% 15.06/10.22 tff(10987,plain,
% 15.06/10.22 (((~v84(constB79, 2)) <=> v84(constB78, 2)) | (~v84(constB79, 2)) | v84(constB78, 2)),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(10988,plain,
% 15.06/10.22 (~v84(constB79, 2)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[10987, 10986, 7050])).
% 15.06/10.22 tff(10989,plain,
% 15.06/10.22 ((((~v84(constB79, 1)) <=> v84(constB78, 1)) | ((~v84(constB79, 2)) <=> v84(constB78, 2)) | ((~v84(constB79, 0)) <=> v84(constB78, 0))) | (~((~v84(constB79, 0)) <=> v84(constB78, 0)))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(10990,plain,
% 15.06/10.22 (~((~v84(constB79, 0)) <=> v84(constB78, 0))),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[10989, 7048])).
% 15.06/10.22 tff(10991,plain,
% 15.06/10.22 ((((~v123(constB78, 2)) <=> v121(constB77, 2)) | ((~v123(constB78, 1)) <=> v121(constB77, 1)) | ((~v123(constB78, 0)) <=> v121(constB77, 0))) | (~((~v123(constB78, 0)) <=> v121(constB77, 0)))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(10992,plain,
% 15.06/10.22 (~((~v123(constB78, 0)) <=> v121(constB77, 0))),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[10991, 7057])).
% 15.06/10.22 tff(10993,plain,
% 15.06/10.22 ((((~v121(constB77, 2)) <=> v124(constB77, 2)) | ((~v121(constB77, 0)) <=> v124(constB77, 0)) | ((~v121(constB77, 1)) <=> v124(constB77, 1))) | (~((~v121(constB77, 0)) <=> v124(constB77, 0)))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(10994,plain,
% 15.06/10.22 (~((~v121(constB77, 0)) <=> v124(constB77, 0))),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[10993, 7071])).
% 15.06/10.22 tff(10995,plain,
% 15.06/10.22 ((v124(constB77, 2) | v124(constB77, 0) | (~v124(constB77, 1))) | (~v124(constB77, 0))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(10996,plain,
% 15.06/10.22 (~v124(constB77, 0)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[10995, 10872])).
% 15.06/10.22 tff(10997,plain,
% 15.06/10.22 (((~v121(constB77, 0)) <=> v124(constB77, 0)) | (~v121(constB77, 0)) | v124(constB77, 0)),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(10998,plain,
% 15.06/10.22 (~v121(constB77, 0)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[10997, 10996, 10994])).
% 15.06/10.22 tff(10999,plain,
% 15.06/10.22 (((~v123(constB78, 0)) <=> v121(constB77, 0)) | (~v123(constB78, 0)) | v121(constB77, 0)),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11000,plain,
% 15.06/10.22 (~v123(constB78, 0)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[10999, 10998, 10992])).
% 15.06/10.22 tff(11001,plain,
% 15.06/10.22 ((((~v84(constB78, 0)) <=> v123(constB78, 0)) | ((~v84(constB78, 2)) <=> v123(constB78, 2)) | ((~v84(constB78, 1)) <=> v123(constB78, 1))) | (~((~v84(constB78, 0)) <=> v123(constB78, 0)))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11002,plain,
% 15.06/10.22 (~((~v84(constB78, 0)) <=> v123(constB78, 0))),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11001, 10982])).
% 15.06/10.22 tff(11003,plain,
% 15.06/10.22 (((~v84(constB78, 0)) <=> v123(constB78, 0)) | (~v84(constB78, 0)) | v123(constB78, 0)),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11004,plain,
% 15.06/10.22 (~v84(constB78, 0)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11003, 11002, 11000])).
% 15.06/10.22 tff(11005,plain,
% 15.06/10.22 (((~v84(constB79, 0)) <=> v84(constB78, 0)) | (~v84(constB79, 0)) | v84(constB78, 0)),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11006,plain,
% 15.06/10.22 (~v84(constB79, 0)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11005, 11004, 10990])).
% 15.06/10.22 tff(11007,plain,
% 15.06/10.22 ((((~v84(constB79, 1)) <=> v84(constB78, 1)) | ((~v84(constB79, 2)) <=> v84(constB78, 2)) | ((~v84(constB79, 0)) <=> v84(constB78, 0))) | (~((~v84(constB79, 1)) <=> v84(constB78, 1)))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11008,plain,
% 15.06/10.22 (~((~v84(constB79, 1)) <=> v84(constB78, 1))),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11007, 7048])).
% 15.06/10.22 tff(11009,plain,
% 15.06/10.22 ((((~v123(constB78, 2)) <=> v121(constB77, 2)) | ((~v123(constB78, 1)) <=> v121(constB77, 1)) | ((~v123(constB78, 0)) <=> v121(constB77, 0))) | (~((~v123(constB78, 1)) <=> v121(constB77, 1)))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11010,plain,
% 15.06/10.22 (~((~v123(constB78, 1)) <=> v121(constB77, 1))),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11009, 7057])).
% 15.06/10.22 tff(11011,plain,
% 15.06/10.22 ((((~v121(constB77, 2)) <=> v124(constB77, 2)) | ((~v121(constB77, 0)) <=> v124(constB77, 0)) | ((~v121(constB77, 1)) <=> v124(constB77, 1))) | (~((~v121(constB77, 1)) <=> v124(constB77, 1)))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11012,plain,
% 15.06/10.22 (~((~v121(constB77, 1)) <=> v124(constB77, 1))),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11011, 7071])).
% 15.06/10.22 tff(11013,plain,
% 15.06/10.22 ((v124(constB77, 2) | v124(constB77, 0) | (~v124(constB77, 1))) | v124(constB77, 1)),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11014,plain,
% 15.06/10.22 (v124(constB77, 1)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11013, 10872])).
% 15.06/10.22 tff(11015,plain,
% 15.06/10.22 (((~v121(constB77, 1)) <=> v124(constB77, 1)) | v121(constB77, 1) | (~v124(constB77, 1))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11016,plain,
% 15.06/10.22 (v121(constB77, 1)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11015, 11014, 11012])).
% 15.06/10.22 tff(11017,plain,
% 15.06/10.22 (((~v123(constB78, 1)) <=> v121(constB77, 1)) | v123(constB78, 1) | (~v121(constB77, 1))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11018,plain,
% 15.06/10.22 (v123(constB78, 1)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11017, 11016, 11010])).
% 15.06/10.22 tff(11019,plain,
% 15.06/10.22 ((((~v84(constB78, 0)) <=> v123(constB78, 0)) | ((~v84(constB78, 2)) <=> v123(constB78, 2)) | ((~v84(constB78, 1)) <=> v123(constB78, 1))) | (~((~v84(constB78, 1)) <=> v123(constB78, 1)))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11020,plain,
% 15.06/10.22 (~((~v84(constB78, 1)) <=> v123(constB78, 1))),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11019, 10982])).
% 15.06/10.22 tff(11021,plain,
% 15.06/10.22 (((~v84(constB78, 1)) <=> v123(constB78, 1)) | v84(constB78, 1) | (~v123(constB78, 1))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11022,plain,
% 15.06/10.22 (v84(constB78, 1)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11021, 11020, 11018])).
% 15.06/10.22 tff(11023,plain,
% 15.06/10.22 (((~v84(constB79, 1)) <=> v84(constB78, 1)) | v84(constB79, 1) | (~v84(constB78, 1))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11024,plain,
% 15.06/10.22 (v84(constB79, 1)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11023, 11022, 11008])).
% 15.06/10.22 tff(11025,plain,
% 15.06/10.22 ((~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))) | v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11026,plain,
% 15.06/10.22 (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11025, 11024, 11006, 10988])).
% 15.06/10.22 tff(11027,plain,
% 15.06/10.22 ((~(v115(constB79) <=> (~(v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))))) | v115(constB79) | (v84(constB79, 2) | v84(constB79, 0) | (~v84(constB79, 1)))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11028,plain,
% 15.06/10.22 (v115(constB79)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11027, 11026, 7014])).
% 15.06/10.22 tff(11029,plain,
% 15.06/10.22 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB79)) | (~(v124(constB79, 2) | (~v124(constB79, 0)) | (~v124(constB79, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB79)) | (~(v124(constB79, 2) | (~v124(constB79, 0)) | (~v124(constB79, 1)))))),
% 15.06/10.22 inference(rewrite,[status(thm)],[])).
% 15.06/10.22 tff(11030,plain,
% 15.06/10.22 (((~v115(constB79)) | (~(v124(constB79, 2) | (~v124(constB79, 1)) | (~v124(constB79, 0))))) <=> ((~v115(constB79)) | (~(v124(constB79, 2) | (~v124(constB79, 0)) | (~v124(constB79, 1)))))),
% 15.06/10.22 inference(rewrite,[status(thm)],[])).
% 15.06/10.22 tff(11031,plain,
% 15.06/10.22 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB79)) | (~(v124(constB79, 2) | (~v124(constB79, 1)) | (~v124(constB79, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB79)) | (~(v124(constB79, 2) | (~v124(constB79, 0)) | (~v124(constB79, 1))))))),
% 15.06/10.22 inference(monotonicity,[status(thm)],[11030])).
% 15.06/10.22 tff(11032,plain,
% 15.06/10.22 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB79)) | (~(v124(constB79, 2) | (~v124(constB79, 1)) | (~v124(constB79, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB79)) | (~(v124(constB79, 2) | (~v124(constB79, 0)) | (~v124(constB79, 1)))))),
% 15.06/10.22 inference(transitivity,[status(thm)],[11031, 11029])).
% 15.06/10.22 tff(11033,plain,
% 15.06/10.22 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB79)) | (~(v124(constB79, 2) | (~v124(constB79, 1)) | (~v124(constB79, 0)))))),
% 15.06/10.22 inference(quant_inst,[status(thm)],[])).
% 15.06/10.22 tff(11034,plain,
% 15.06/10.22 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB79)) | (~(v124(constB79, 2) | (~v124(constB79, 0)) | (~v124(constB79, 1))))),
% 15.06/10.22 inference(modus_ponens,[status(thm)],[11033, 11032])).
% 15.06/10.22 tff(11035,plain,
% 15.06/10.22 ((~v115(constB79)) | (~(v124(constB79, 2) | (~v124(constB79, 0)) | (~v124(constB79, 1))))),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11034, 3138])).
% 15.06/10.22 tff(11036,plain,
% 15.06/10.22 (~(v124(constB79, 2) | (~v124(constB79, 0)) | (~v124(constB79, 1)))),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11035, 11028])).
% 15.06/10.22 tff(11037,plain,
% 15.06/10.22 ((v124(constB79, 2) | (~v124(constB79, 0)) | (~v124(constB79, 1))) | (~v124(constB79, 2))),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11038,plain,
% 15.06/10.22 (~v124(constB79, 2)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11037, 11036])).
% 15.06/10.22 tff(11039,plain,
% 15.06/10.22 (((~v121(constB79, 2)) <=> v124(constB79, 2)) | (~v121(constB79, 2)) | v124(constB79, 2)),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11040,plain,
% 15.06/10.22 (~v121(constB79, 2)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11039, 11038, 7007])).
% 15.06/10.22 tff(11041,plain,
% 15.06/10.22 (((~v123(constB80, 2)) <=> v121(constB79, 2)) | (~v123(constB80, 2)) | v121(constB79, 2)),
% 15.06/10.22 inference(tautology,[status(thm)],[])).
% 15.06/10.22 tff(11042,plain,
% 15.06/10.22 (~v123(constB80, 2)),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11041, 11040, 6993])).
% 15.06/10.22 tff(11043,plain,
% 15.06/10.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB79, constB80)) | (v94(constB80) <=> (~((~v95(constB80)) | (~v104(constB80))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB79, constB80)) | (v94(constB80) <=> (~((~v95(constB80)) | (~v104(constB80))))))),
% 15.06/10.22 inference(rewrite,[status(thm)],[])).
% 15.06/10.22 tff(11044,plain,
% 15.06/10.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB79, constB80)) | (v94(constB80) <=> (~((~v95(constB80)) | (~v104(constB80))))))),
% 15.06/10.22 inference(quant_inst,[status(thm)],[])).
% 15.06/10.22 tff(11045,plain,
% 15.06/10.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB79, constB80)) | (v94(constB80) <=> (~((~v95(constB80)) | (~v104(constB80)))))),
% 15.06/10.22 inference(modus_ponens,[status(thm)],[11044, 11043])).
% 15.06/10.22 tff(11046,plain,
% 15.06/10.22 (v94(constB80) <=> (~((~v95(constB80)) | (~v104(constB80))))),
% 15.06/10.22 inference(unit_resolution,[status(thm)],[11045, 6987, 770])).
% 15.06/10.22 tff(11047,plain,
% 15.06/10.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80))))))),
% 15.06/10.22 inference(rewrite,[status(thm)],[])).
% 15.06/10.22 tff(11048,plain,
% 15.06/10.22 (((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v96(constB80)) | (~v1(constB80)))))) <=> ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80))))))),
% 15.06/10.22 inference(rewrite,[status(thm)],[])).
% 15.06/10.22 tff(11049,plain,
% 15.06/10.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v96(constB80)) | (~v1(constB80))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80)))))))),
% 15.06/10.22 inference(monotonicity,[status(thm)],[11048])).
% 15.06/10.22 tff(11050,plain,
% 15.06/10.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v96(constB80)) | (~v1(constB80))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80))))))),
% 15.06/10.22 inference(transitivity,[status(thm)],[11049, 11047])).
% 15.06/10.22 tff(11051,plain,
% 15.06/10.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v96(constB80)) | (~v1(constB80))))))),
% 15.06/10.22 inference(quant_inst,[status(thm)],[])).
% 15.06/10.22 tff(11052,plain,
% 15.06/10.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80)))))),
% 15.06/10.22 inference(modus_ponens,[status(thm)],[11051, 11050])).
% 15.06/10.22 tff(11053,plain,
% 15.06/10.23 (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80))))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11052, 6987, 790])).
% 15.06/10.23 tff(11054,plain,
% 15.06/10.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v96(constB80)) <=> v98(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB79, constB80)) | ((~v96(constB80)) <=> v98(constB80)))),
% 15.06/10.23 inference(rewrite,[status(thm)],[])).
% 15.06/10.23 tff(11055,plain,
% 15.06/10.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v96(constB80)) <=> v98(constB80)))),
% 15.06/10.23 inference(quant_inst,[status(thm)],[])).
% 15.06/10.23 tff(11056,plain,
% 15.06/10.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB79, constB80)) | ((~v96(constB80)) <=> v98(constB80))),
% 15.06/10.23 inference(modus_ponens,[status(thm)],[11055, 11054])).
% 15.06/10.23 tff(11057,plain,
% 15.06/10.23 ((~v96(constB80)) <=> v98(constB80)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11056, 6987, 2332])).
% 15.06/10.23 tff(11058,plain,
% 15.06/10.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v98(constB80) <=> v1(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v98(constB80) <=> v1(constB79)))),
% 15.06/10.23 inference(rewrite,[status(thm)],[])).
% 15.06/10.23 tff(11059,plain,
% 15.06/10.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v98(constB80) <=> v1(constB79)))),
% 15.06/10.23 inference(quant_inst,[status(thm)],[])).
% 15.06/10.23 tff(11060,plain,
% 15.06/10.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v98(constB80) <=> v1(constB79))),
% 15.06/10.23 inference(modus_ponens,[status(thm)],[11059, 11058])).
% 15.06/10.23 tff(11061,plain,
% 15.06/10.23 (v98(constB80) <=> v1(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11060, 6987, 2346])).
% 15.06/10.23 tff(11062,plain,
% 15.06/10.23 ((~(v98(constB80) <=> v1(constB79))) | (~v98(constB80)) | v1(constB79)),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11063,plain,
% 15.06/10.23 ((~(v98(constB80) <=> v1(constB79))) | (~v98(constB80))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11062, 7031])).
% 15.06/10.23 tff(11064,plain,
% 15.06/10.23 (~v98(constB80)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11063, 11061])).
% 15.06/10.23 tff(11065,plain,
% 15.06/10.23 ((~((~v96(constB80)) <=> v98(constB80))) | v96(constB80) | v98(constB80)),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11066,plain,
% 15.06/10.23 (v96(constB80)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11065, 11064, 11057])).
% 15.06/10.23 tff(11067,plain,
% 15.06/10.23 (v1(constB80) <=> v1(constB80)),
% 15.06/10.23 inference(rewrite,[status(thm)],[])).
% 15.06/10.23 tff(11068,axiom,(v1(constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_80')).
% 15.06/10.23 tff(11069,plain,
% 15.06/10.23 (v1(constB80)),
% 15.06/10.23 inference(modus_ponens,[status(thm)],[11068, 11067])).
% 15.06/10.23 tff(11070,plain,
% 15.06/10.23 ((~((~v1(constB80)) | (~v96(constB80)))) | (~v1(constB80)) | (~v96(constB80))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11071,plain,
% 15.06/10.23 ((~((~v1(constB80)) | (~v96(constB80)))) | (~v96(constB80))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11070, 11069])).
% 15.06/10.23 tff(11072,plain,
% 15.06/10.23 (~((~v1(constB80)) | (~v96(constB80)))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11071, 11066])).
% 15.06/10.23 tff(11073,plain,
% 15.06/10.23 ((~(v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80)))))) | v95(constB80) | ((~v1(constB80)) | (~v96(constB80)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11074,plain,
% 15.06/10.23 (v95(constB80)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11073, 11072, 11053])).
% 15.06/10.23 tff(11075,plain,
% 15.06/10.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v102(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v102(constB79)))),
% 15.06/10.23 inference(rewrite,[status(thm)],[])).
% 15.06/10.23 tff(11076,plain,
% 15.06/10.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v102(constB79)))),
% 15.06/10.23 inference(quant_inst,[status(thm)],[])).
% 15.06/10.23 tff(11077,plain,
% 15.06/10.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v102(constB79))),
% 15.06/10.23 inference(modus_ponens,[status(thm)],[11076, 11075])).
% 15.06/10.23 tff(11078,plain,
% 15.06/10.23 (v104(constB80) <=> v102(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11077, 6987, 2373])).
% 15.06/10.23 tff(11079,plain,
% 15.06/10.23 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB79) <=> (v105(constB79) | v106(constB79)))),
% 15.06/10.23 inference(quant_inst,[status(thm)],[])).
% 15.06/10.23 tff(11080,plain,
% 15.06/10.23 (v102(constB79) <=> (v105(constB79) | v106(constB79))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11079, 2384])).
% 15.06/10.23 tff(11081,plain,
% 15.06/10.23 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB79) <=> (~((~v107(constB79)) | (~v120(constB79)))))),
% 15.06/10.23 inference(quant_inst,[status(thm)],[])).
% 15.06/10.23 tff(11082,plain,
% 15.06/10.23 (v106(constB79) <=> (~((~v107(constB79)) | (~v120(constB79))))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11081, 2396])).
% 15.06/10.23 tff(11083,plain,
% 15.06/10.23 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB79) <=> (v108(constB79) | v119(constB79)))),
% 15.06/10.23 inference(quant_inst,[status(thm)],[])).
% 15.06/10.23 tff(11084,plain,
% 15.06/10.23 (v107(constB79) <=> (v108(constB79) | v119(constB79))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11083, 2405])).
% 15.06/10.23 tff(11085,plain,
% 15.06/10.23 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB79) <=> (v109(constB79) | v118(constB79)))),
% 15.06/10.23 inference(quant_inst,[status(thm)],[])).
% 15.06/10.23 tff(11086,plain,
% 15.06/10.23 (v108(constB79) <=> (v109(constB79) | v118(constB79))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11085, 2414])).
% 15.06/10.23 tff(11087,plain,
% 15.06/10.23 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB79) <=> (v110(constB79) | v117(constB79)))),
% 15.06/10.23 inference(quant_inst,[status(thm)],[])).
% 15.06/10.23 tff(11088,plain,
% 15.06/10.23 (v109(constB79) <=> (v110(constB79) | v117(constB79))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11087, 2423])).
% 15.06/10.23 tff(11089,plain,
% 15.06/10.23 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB79) <=> (v111(constB79) | v116(constB79)))),
% 15.06/10.23 inference(quant_inst,[status(thm)],[])).
% 15.06/10.23 tff(11090,plain,
% 15.06/10.23 (v110(constB79) <=> (v111(constB79) | v116(constB79))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11089, 2432])).
% 15.06/10.23 tff(11091,plain,
% 15.06/10.23 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB79) <=> (v112(constB79) | v115(constB79)))),
% 15.06/10.23 inference(quant_inst,[status(thm)],[])).
% 15.06/10.23 tff(11092,plain,
% 15.06/10.23 (v111(constB79) <=> (v112(constB79) | v115(constB79))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11091, 2441])).
% 15.06/10.23 tff(11093,plain,
% 15.06/10.23 ((v112(constB79) | v115(constB79)) | (~v115(constB79))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11094,plain,
% 15.06/10.23 (v112(constB79) | v115(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11093, 11028])).
% 15.06/10.23 tff(11095,plain,
% 15.06/10.23 ((~(v111(constB79) <=> (v112(constB79) | v115(constB79)))) | v111(constB79) | (~(v112(constB79) | v115(constB79)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11096,plain,
% 15.06/10.23 (v111(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11095, 11094, 11092])).
% 15.06/10.23 tff(11097,plain,
% 15.06/10.23 ((v111(constB79) | v116(constB79)) | (~v111(constB79))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11098,plain,
% 15.06/10.23 (v111(constB79) | v116(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11097, 11096])).
% 15.06/10.23 tff(11099,plain,
% 15.06/10.23 ((~(v110(constB79) <=> (v111(constB79) | v116(constB79)))) | v110(constB79) | (~(v111(constB79) | v116(constB79)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11100,plain,
% 15.06/10.23 (v110(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11099, 11098, 11090])).
% 15.06/10.23 tff(11101,plain,
% 15.06/10.23 ((v110(constB79) | v117(constB79)) | (~v110(constB79))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11102,plain,
% 15.06/10.23 (v110(constB79) | v117(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11101, 11100])).
% 15.06/10.23 tff(11103,plain,
% 15.06/10.23 ((~(v109(constB79) <=> (v110(constB79) | v117(constB79)))) | v109(constB79) | (~(v110(constB79) | v117(constB79)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11104,plain,
% 15.06/10.23 (v109(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11103, 11102, 11088])).
% 15.06/10.23 tff(11105,plain,
% 15.06/10.23 ((v109(constB79) | v118(constB79)) | (~v109(constB79))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11106,plain,
% 15.06/10.23 (v109(constB79) | v118(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11105, 11104])).
% 15.06/10.23 tff(11107,plain,
% 15.06/10.23 ((~(v108(constB79) <=> (v109(constB79) | v118(constB79)))) | v108(constB79) | (~(v109(constB79) | v118(constB79)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11108,plain,
% 15.06/10.23 (v108(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11107, 11106, 11086])).
% 15.06/10.23 tff(11109,plain,
% 15.06/10.23 ((v108(constB79) | v119(constB79)) | (~v108(constB79))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11110,plain,
% 15.06/10.23 (v108(constB79) | v119(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11109, 11108])).
% 15.06/10.23 tff(11111,plain,
% 15.06/10.23 ((~(v107(constB79) <=> (v108(constB79) | v119(constB79)))) | v107(constB79) | (~(v108(constB79) | v119(constB79)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11112,plain,
% 15.06/10.23 (v107(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11111, 11110, 11084])).
% 15.06/10.23 tff(11113,plain,
% 15.06/10.23 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB79)) <=> v105(constB79))),
% 15.06/10.23 inference(quant_inst,[status(thm)],[])).
% 15.06/10.23 tff(11114,plain,
% 15.06/10.23 ((~v120(constB79)) <=> v105(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11113, 2484])).
% 15.06/10.23 tff(11115,plain,
% 15.06/10.23 ((~((~v120(constB79)) <=> v105(constB79))) | v120(constB79) | v105(constB79)),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11116,plain,
% 15.06/10.23 ((~((~v120(constB79)) <=> v105(constB79))) | v120(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11115, 7000])).
% 15.06/10.23 tff(11117,plain,
% 15.06/10.23 (v120(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11116, 11114])).
% 15.06/10.23 tff(11118,plain,
% 15.06/10.23 ((~((~v107(constB79)) | (~v120(constB79)))) | (~v107(constB79)) | (~v120(constB79))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11119,plain,
% 15.06/10.23 ((~((~v107(constB79)) | (~v120(constB79)))) | (~v107(constB79))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11118, 11117])).
% 15.06/10.23 tff(11120,plain,
% 15.06/10.23 (~((~v107(constB79)) | (~v120(constB79)))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11119, 11112])).
% 15.06/10.23 tff(11121,plain,
% 15.06/10.23 ((~(v106(constB79) <=> (~((~v107(constB79)) | (~v120(constB79)))))) | v106(constB79) | ((~v107(constB79)) | (~v120(constB79)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11122,plain,
% 15.06/10.23 (v106(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11121, 11120, 11082])).
% 15.06/10.23 tff(11123,plain,
% 15.06/10.23 ((v105(constB79) | v106(constB79)) | (~v106(constB79))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11124,plain,
% 15.06/10.23 (v105(constB79) | v106(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11123, 11122])).
% 15.06/10.23 tff(11125,plain,
% 15.06/10.23 ((~(v102(constB79) <=> (v105(constB79) | v106(constB79)))) | v102(constB79) | (~(v105(constB79) | v106(constB79)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11126,plain,
% 15.06/10.23 (v102(constB79)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11125, 11124, 11080])).
% 15.06/10.23 tff(11127,plain,
% 15.06/10.23 ((~(v104(constB80) <=> v102(constB79))) | v104(constB80) | (~v102(constB79))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11128,plain,
% 15.06/10.23 (v104(constB80)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11127, 11126, 11078])).
% 15.06/10.23 tff(11129,plain,
% 15.06/10.23 ((~((~v95(constB80)) | (~v104(constB80)))) | (~v95(constB80)) | (~v104(constB80))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11130,plain,
% 15.06/10.23 (~((~v95(constB80)) | (~v104(constB80)))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11129, 11128, 11074])).
% 15.06/10.23 tff(11131,plain,
% 15.06/10.23 ((~(v94(constB80) <=> (~((~v95(constB80)) | (~v104(constB80)))))) | v94(constB80) | ((~v95(constB80)) | (~v104(constB80)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11132,plain,
% 15.06/10.23 (v94(constB80)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11131, 11130, 11046])).
% 15.06/10.23 tff(11133,plain,
% 15.06/10.23 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB80)) | (~(((~v84(constB80, 2)) <=> v123(constB80, 2)) | ((~v84(constB80, 1)) <=> v123(constB80, 1)) | ((~v84(constB80, 0)) <=> v123(constB80, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB80)) | (~(((~v84(constB80, 2)) <=> v123(constB80, 2)) | ((~v84(constB80, 1)) <=> v123(constB80, 1)) | ((~v84(constB80, 0)) <=> v123(constB80, 0)))))),
% 15.06/10.23 inference(rewrite,[status(thm)],[])).
% 15.06/10.23 tff(11134,plain,
% 15.06/10.23 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB80)) | (~(((~v84(constB80, 2)) <=> v123(constB80, 2)) | ((~v84(constB80, 1)) <=> v123(constB80, 1)) | ((~v84(constB80, 0)) <=> v123(constB80, 0)))))),
% 15.06/10.23 inference(quant_inst,[status(thm)],[])).
% 15.06/10.23 tff(11135,plain,
% 15.06/10.23 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB80)) | (~(((~v84(constB80, 2)) <=> v123(constB80, 2)) | ((~v84(constB80, 1)) <=> v123(constB80, 1)) | ((~v84(constB80, 0)) <=> v123(constB80, 0))))),
% 15.06/10.23 inference(modus_ponens,[status(thm)],[11134, 11133])).
% 15.06/10.23 tff(11136,plain,
% 15.06/10.23 ((~v94(constB80)) | (~(((~v84(constB80, 2)) <=> v123(constB80, 2)) | ((~v84(constB80, 1)) <=> v123(constB80, 1)) | ((~v84(constB80, 0)) <=> v123(constB80, 0))))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11135, 2517])).
% 15.06/10.23 tff(11137,plain,
% 15.06/10.23 (~(((~v84(constB80, 2)) <=> v123(constB80, 2)) | ((~v84(constB80, 1)) <=> v123(constB80, 1)) | ((~v84(constB80, 0)) <=> v123(constB80, 0)))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11136, 11132])).
% 15.06/10.23 tff(11138,plain,
% 15.06/10.23 ((((~v84(constB80, 2)) <=> v123(constB80, 2)) | ((~v84(constB80, 1)) <=> v123(constB80, 1)) | ((~v84(constB80, 0)) <=> v123(constB80, 0))) | (~((~v84(constB80, 2)) <=> v123(constB80, 2)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11139,plain,
% 15.06/10.23 (~((~v84(constB80, 2)) <=> v123(constB80, 2))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11138, 11137])).
% 15.06/10.23 tff(11140,plain,
% 15.06/10.23 (((~v84(constB80, 2)) <=> v123(constB80, 2)) | (~v84(constB80, 2)) | v123(constB80, 2)),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11141,plain,
% 15.06/10.23 (~v84(constB80, 2)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11140, 11139, 11042])).
% 15.06/10.23 tff(11142,plain,
% 15.06/10.23 (((~v84(constB81, 2)) <=> v84(constB80, 2)) | (~v84(constB81, 2)) | v84(constB80, 2)),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11143,plain,
% 15.06/10.23 (~v84(constB81, 2)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11142, 11141, 6984])).
% 15.06/10.23 tff(11144,plain,
% 15.06/10.23 ((((~v84(constB81, 1)) <=> v84(constB80, 1)) | ((~v84(constB81, 2)) <=> v84(constB80, 2)) | ((~v84(constB81, 0)) <=> v84(constB80, 0))) | (~((~v84(constB81, 0)) <=> v84(constB80, 0)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11145,plain,
% 15.06/10.23 (~((~v84(constB81, 0)) <=> v84(constB80, 0))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11144, 6982])).
% 15.06/10.23 tff(11146,plain,
% 15.06/10.23 ((((~v123(constB80, 2)) <=> v121(constB79, 2)) | ((~v123(constB80, 1)) <=> v121(constB79, 1)) | ((~v123(constB80, 0)) <=> v121(constB79, 0))) | (~((~v123(constB80, 0)) <=> v121(constB79, 0)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11147,plain,
% 15.06/10.23 (~((~v123(constB80, 0)) <=> v121(constB79, 0))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11146, 6991])).
% 15.06/10.23 tff(11148,plain,
% 15.06/10.23 ((((~v121(constB79, 2)) <=> v124(constB79, 2)) | ((~v121(constB79, 0)) <=> v124(constB79, 0)) | ((~v121(constB79, 1)) <=> v124(constB79, 1))) | (~((~v121(constB79, 0)) <=> v124(constB79, 0)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11149,plain,
% 15.06/10.23 (~((~v121(constB79, 0)) <=> v124(constB79, 0))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11148, 7005])).
% 15.06/10.23 tff(11150,plain,
% 15.06/10.23 ((v124(constB79, 2) | (~v124(constB79, 0)) | (~v124(constB79, 1))) | v124(constB79, 0)),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11151,plain,
% 15.06/10.23 (v124(constB79, 0)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11150, 11036])).
% 15.06/10.23 tff(11152,plain,
% 15.06/10.23 (((~v121(constB79, 0)) <=> v124(constB79, 0)) | v121(constB79, 0) | (~v124(constB79, 0))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11153,plain,
% 15.06/10.23 (v121(constB79, 0)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11152, 11151, 11149])).
% 15.06/10.23 tff(11154,plain,
% 15.06/10.23 (((~v123(constB80, 0)) <=> v121(constB79, 0)) | v123(constB80, 0) | (~v121(constB79, 0))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11155,plain,
% 15.06/10.23 (v123(constB80, 0)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11154, 11153, 11147])).
% 15.06/10.23 tff(11156,plain,
% 15.06/10.23 ((((~v84(constB80, 2)) <=> v123(constB80, 2)) | ((~v84(constB80, 1)) <=> v123(constB80, 1)) | ((~v84(constB80, 0)) <=> v123(constB80, 0))) | (~((~v84(constB80, 0)) <=> v123(constB80, 0)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11157,plain,
% 15.06/10.23 (~((~v84(constB80, 0)) <=> v123(constB80, 0))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11156, 11137])).
% 15.06/10.23 tff(11158,plain,
% 15.06/10.23 (((~v84(constB80, 0)) <=> v123(constB80, 0)) | v84(constB80, 0) | (~v123(constB80, 0))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11159,plain,
% 15.06/10.23 (v84(constB80, 0)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11158, 11157, 11155])).
% 15.06/10.23 tff(11160,plain,
% 15.06/10.23 (((~v84(constB81, 0)) <=> v84(constB80, 0)) | v84(constB81, 0) | (~v84(constB80, 0))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11161,plain,
% 15.06/10.23 (v84(constB81, 0)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11160, 11159, 11145])).
% 15.06/10.23 tff(11162,plain,
% 15.06/10.23 ((((~v84(constB81, 1)) <=> v84(constB80, 1)) | ((~v84(constB81, 2)) <=> v84(constB80, 2)) | ((~v84(constB81, 0)) <=> v84(constB80, 0))) | (~((~v84(constB81, 1)) <=> v84(constB80, 1)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11163,plain,
% 15.06/10.23 (~((~v84(constB81, 1)) <=> v84(constB80, 1))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11162, 6982])).
% 15.06/10.23 tff(11164,plain,
% 15.06/10.23 ((((~v123(constB80, 2)) <=> v121(constB79, 2)) | ((~v123(constB80, 1)) <=> v121(constB79, 1)) | ((~v123(constB80, 0)) <=> v121(constB79, 0))) | (~((~v123(constB80, 1)) <=> v121(constB79, 1)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11165,plain,
% 15.06/10.23 (~((~v123(constB80, 1)) <=> v121(constB79, 1))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11164, 6991])).
% 15.06/10.23 tff(11166,plain,
% 15.06/10.23 ((((~v121(constB79, 2)) <=> v124(constB79, 2)) | ((~v121(constB79, 0)) <=> v124(constB79, 0)) | ((~v121(constB79, 1)) <=> v124(constB79, 1))) | (~((~v121(constB79, 1)) <=> v124(constB79, 1)))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11167,plain,
% 15.06/10.23 (~((~v121(constB79, 1)) <=> v124(constB79, 1))),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11166, 7005])).
% 15.06/10.23 tff(11168,plain,
% 15.06/10.23 ((v124(constB79, 2) | (~v124(constB79, 0)) | (~v124(constB79, 1))) | v124(constB79, 1)),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11169,plain,
% 15.06/10.23 (v124(constB79, 1)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11168, 11036])).
% 15.06/10.23 tff(11170,plain,
% 15.06/10.23 (((~v121(constB79, 1)) <=> v124(constB79, 1)) | v121(constB79, 1) | (~v124(constB79, 1))),
% 15.06/10.23 inference(tautology,[status(thm)],[])).
% 15.06/10.23 tff(11171,plain,
% 15.06/10.23 (v121(constB79, 1)),
% 15.06/10.23 inference(unit_resolution,[status(thm)],[11170, 11169, 11167])).
% 15.06/10.24 tff(11172,plain,
% 15.06/10.24 (((~v123(constB80, 1)) <=> v121(constB79, 1)) | v123(constB80, 1) | (~v121(constB79, 1))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11173,plain,
% 15.06/10.24 (v123(constB80, 1)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11172, 11171, 11165])).
% 15.06/10.24 tff(11174,plain,
% 15.06/10.24 ((((~v84(constB80, 2)) <=> v123(constB80, 2)) | ((~v84(constB80, 1)) <=> v123(constB80, 1)) | ((~v84(constB80, 0)) <=> v123(constB80, 0))) | (~((~v84(constB80, 1)) <=> v123(constB80, 1)))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11175,plain,
% 15.06/10.24 (~((~v84(constB80, 1)) <=> v123(constB80, 1))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11174, 11137])).
% 15.06/10.24 tff(11176,plain,
% 15.06/10.24 (((~v84(constB80, 1)) <=> v123(constB80, 1)) | v84(constB80, 1) | (~v123(constB80, 1))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11177,plain,
% 15.06/10.24 (v84(constB80, 1)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11176, 11175, 11173])).
% 15.06/10.24 tff(11178,plain,
% 15.06/10.24 (((~v84(constB81, 1)) <=> v84(constB80, 1)) | v84(constB81, 1) | (~v84(constB80, 1))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11179,plain,
% 15.06/10.24 (v84(constB81, 1)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11178, 11177, 11163])).
% 15.06/10.24 tff(11180,plain,
% 15.06/10.24 ((~(v84(constB81, 2) | (~v84(constB81, 1)) | (~v84(constB81, 0)))) | v84(constB81, 2) | (~v84(constB81, 1)) | (~v84(constB81, 0))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11181,plain,
% 15.06/10.24 (~(v84(constB81, 2) | (~v84(constB81, 1)) | (~v84(constB81, 0)))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11180, 11179, 11161, 11143])).
% 15.06/10.24 tff(11182,plain,
% 15.06/10.24 ((~(v116(constB81) <=> (~(v84(constB81, 2) | (~v84(constB81, 1)) | (~v84(constB81, 0)))))) | v116(constB81) | (v84(constB81, 2) | (~v84(constB81, 1)) | (~v84(constB81, 0)))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11183,plain,
% 15.06/10.24 (v116(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11182, 11181, 6948])).
% 15.06/10.24 tff(11184,plain,
% 15.06/10.24 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB81)) | (~(v124(constB81, 0) | v124(constB81, 1) | (~v124(constB81, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB81)) | (~(v124(constB81, 0) | v124(constB81, 1) | (~v124(constB81, 2)))))),
% 15.06/10.24 inference(rewrite,[status(thm)],[])).
% 15.06/10.24 tff(11185,plain,
% 15.06/10.24 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB81)) | (~(v124(constB81, 0) | v124(constB81, 1) | (~v124(constB81, 2)))))),
% 15.06/10.24 inference(quant_inst,[status(thm)],[])).
% 15.06/10.24 tff(11186,plain,
% 15.06/10.24 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB81)) | (~(v124(constB81, 0) | v124(constB81, 1) | (~v124(constB81, 2))))),
% 15.06/10.24 inference(modus_ponens,[status(thm)],[11185, 11184])).
% 15.06/10.24 tff(11187,plain,
% 15.06/10.24 ((~v116(constB81)) | (~(v124(constB81, 0) | v124(constB81, 1) | (~v124(constB81, 2))))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11186, 3309])).
% 15.06/10.24 tff(11188,plain,
% 15.06/10.24 (~(v124(constB81, 0) | v124(constB81, 1) | (~v124(constB81, 2)))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11187, 11183])).
% 15.06/10.24 tff(11189,plain,
% 15.06/10.24 ((v124(constB81, 0) | v124(constB81, 1) | (~v124(constB81, 2))) | v124(constB81, 2)),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11190,plain,
% 15.06/10.24 (v124(constB81, 2)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11189, 11188])).
% 15.06/10.24 tff(11191,plain,
% 15.06/10.24 (((~v121(constB81, 2)) <=> v124(constB81, 2)) | v121(constB81, 2) | (~v124(constB81, 2))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11192,plain,
% 15.06/10.24 (v121(constB81, 2)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11191, 11190, 6946])).
% 15.06/10.24 tff(11193,plain,
% 15.06/10.24 (((~v123(constB82, 2)) <=> v121(constB81, 2)) | v123(constB82, 2) | (~v121(constB81, 2))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11194,plain,
% 15.06/10.24 (v123(constB82, 2)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11193, 11192, 6932])).
% 15.06/10.24 tff(11195,plain,
% 15.06/10.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB81, constB82)) | (v94(constB82) <=> (~((~v95(constB82)) | (~v104(constB82))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB81, constB82)) | (v94(constB82) <=> (~((~v95(constB82)) | (~v104(constB82))))))),
% 15.06/10.24 inference(rewrite,[status(thm)],[])).
% 15.06/10.24 tff(11196,plain,
% 15.06/10.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB81, constB82)) | (v94(constB82) <=> (~((~v95(constB82)) | (~v104(constB82))))))),
% 15.06/10.24 inference(quant_inst,[status(thm)],[])).
% 15.06/10.24 tff(11197,plain,
% 15.06/10.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB81, constB82)) | (v94(constB82) <=> (~((~v95(constB82)) | (~v104(constB82)))))),
% 15.06/10.24 inference(modus_ponens,[status(thm)],[11196, 11195])).
% 15.06/10.24 tff(11198,plain,
% 15.06/10.24 (v94(constB82) <=> (~((~v95(constB82)) | (~v104(constB82))))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11197, 6926, 770])).
% 15.06/10.24 tff(11199,plain,
% 15.06/10.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82))))))),
% 15.06/10.24 inference(rewrite,[status(thm)],[])).
% 15.06/10.24 tff(11200,plain,
% 15.06/10.24 (((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v96(constB82)) | (~v1(constB82)))))) <=> ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82))))))),
% 15.06/10.24 inference(rewrite,[status(thm)],[])).
% 15.06/10.24 tff(11201,plain,
% 15.06/10.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v96(constB82)) | (~v1(constB82))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82)))))))),
% 15.06/10.24 inference(monotonicity,[status(thm)],[11200])).
% 15.06/10.24 tff(11202,plain,
% 15.06/10.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v96(constB82)) | (~v1(constB82))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82))))))),
% 15.06/10.24 inference(transitivity,[status(thm)],[11201, 11199])).
% 15.06/10.24 tff(11203,plain,
% 15.06/10.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v96(constB82)) | (~v1(constB82))))))),
% 15.06/10.24 inference(quant_inst,[status(thm)],[])).
% 15.06/10.24 tff(11204,plain,
% 15.06/10.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82)))))),
% 15.06/10.24 inference(modus_ponens,[status(thm)],[11203, 11202])).
% 15.06/10.24 tff(11205,plain,
% 15.06/10.24 (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82))))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11204, 6926, 790])).
% 15.06/10.24 tff(11206,plain,
% 15.06/10.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB81, constB82)) | ((~v96(constB82)) <=> v98(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB81, constB82)) | ((~v96(constB82)) <=> v98(constB82)))),
% 15.06/10.24 inference(rewrite,[status(thm)],[])).
% 15.06/10.24 tff(11207,plain,
% 15.06/10.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB81, constB82)) | ((~v96(constB82)) <=> v98(constB82)))),
% 15.06/10.24 inference(quant_inst,[status(thm)],[])).
% 15.06/10.24 tff(11208,plain,
% 15.06/10.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB81, constB82)) | ((~v96(constB82)) <=> v98(constB82))),
% 15.06/10.24 inference(modus_ponens,[status(thm)],[11207, 11206])).
% 15.06/10.24 tff(11209,plain,
% 15.06/10.24 ((~v96(constB82)) <=> v98(constB82)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11208, 6926, 2332])).
% 15.06/10.24 tff(11210,plain,
% 15.06/10.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v98(constB82) <=> v1(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v98(constB82) <=> v1(constB81)))),
% 15.06/10.24 inference(rewrite,[status(thm)],[])).
% 15.06/10.24 tff(11211,plain,
% 15.06/10.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v98(constB82) <=> v1(constB81)))),
% 15.06/10.24 inference(quant_inst,[status(thm)],[])).
% 15.06/10.24 tff(11212,plain,
% 15.06/10.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v98(constB82) <=> v1(constB81))),
% 15.06/10.24 inference(modus_ponens,[status(thm)],[11211, 11210])).
% 15.06/10.24 tff(11213,plain,
% 15.06/10.24 (v98(constB82) <=> v1(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11212, 6926, 2346])).
% 15.06/10.24 tff(11214,plain,
% 15.06/10.24 ((~(v98(constB82) <=> v1(constB81))) | (~v98(constB82)) | v1(constB81)),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11215,plain,
% 15.06/10.24 ((~(v98(constB82) <=> v1(constB81))) | (~v98(constB82))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11214, 6965])).
% 15.06/10.24 tff(11216,plain,
% 15.06/10.24 (~v98(constB82)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11215, 11213])).
% 15.06/10.24 tff(11217,plain,
% 15.06/10.24 ((~((~v96(constB82)) <=> v98(constB82))) | v96(constB82) | v98(constB82)),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11218,plain,
% 15.06/10.24 (v96(constB82)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11217, 11216, 11209])).
% 15.06/10.24 tff(11219,plain,
% 15.06/10.24 (v1(constB82) <=> v1(constB82)),
% 15.06/10.24 inference(rewrite,[status(thm)],[])).
% 15.06/10.24 tff(11220,axiom,(v1(constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_82')).
% 15.06/10.24 tff(11221,plain,
% 15.06/10.24 (v1(constB82)),
% 15.06/10.24 inference(modus_ponens,[status(thm)],[11220, 11219])).
% 15.06/10.24 tff(11222,plain,
% 15.06/10.24 ((~((~v1(constB82)) | (~v96(constB82)))) | (~v1(constB82)) | (~v96(constB82))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11223,plain,
% 15.06/10.24 ((~((~v1(constB82)) | (~v96(constB82)))) | (~v96(constB82))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11222, 11221])).
% 15.06/10.24 tff(11224,plain,
% 15.06/10.24 (~((~v1(constB82)) | (~v96(constB82)))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11223, 11218])).
% 15.06/10.24 tff(11225,plain,
% 15.06/10.24 ((~(v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82)))))) | v95(constB82) | ((~v1(constB82)) | (~v96(constB82)))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11226,plain,
% 15.06/10.24 (v95(constB82)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11225, 11224, 11205])).
% 15.06/10.24 tff(11227,plain,
% 15.06/10.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v102(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v102(constB81)))),
% 15.06/10.24 inference(rewrite,[status(thm)],[])).
% 15.06/10.24 tff(11228,plain,
% 15.06/10.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v102(constB81)))),
% 15.06/10.24 inference(quant_inst,[status(thm)],[])).
% 15.06/10.24 tff(11229,plain,
% 15.06/10.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v102(constB81))),
% 15.06/10.24 inference(modus_ponens,[status(thm)],[11228, 11227])).
% 15.06/10.24 tff(11230,plain,
% 15.06/10.24 (v104(constB82) <=> v102(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11229, 6926, 2373])).
% 15.06/10.24 tff(11231,plain,
% 15.06/10.24 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB81) <=> (v105(constB81) | v106(constB81)))),
% 15.06/10.24 inference(quant_inst,[status(thm)],[])).
% 15.06/10.24 tff(11232,plain,
% 15.06/10.24 (v102(constB81) <=> (v105(constB81) | v106(constB81))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11231, 2384])).
% 15.06/10.24 tff(11233,plain,
% 15.06/10.24 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB81) <=> (~((~v107(constB81)) | (~v120(constB81)))))),
% 15.06/10.24 inference(quant_inst,[status(thm)],[])).
% 15.06/10.24 tff(11234,plain,
% 15.06/10.24 (v106(constB81) <=> (~((~v107(constB81)) | (~v120(constB81))))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11233, 2396])).
% 15.06/10.24 tff(11235,plain,
% 15.06/10.24 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB81) <=> (v108(constB81) | v119(constB81)))),
% 15.06/10.24 inference(quant_inst,[status(thm)],[])).
% 15.06/10.24 tff(11236,plain,
% 15.06/10.24 (v107(constB81) <=> (v108(constB81) | v119(constB81))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11235, 2405])).
% 15.06/10.24 tff(11237,plain,
% 15.06/10.24 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB81) <=> (v109(constB81) | v118(constB81)))),
% 15.06/10.24 inference(quant_inst,[status(thm)],[])).
% 15.06/10.24 tff(11238,plain,
% 15.06/10.24 (v108(constB81) <=> (v109(constB81) | v118(constB81))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11237, 2414])).
% 15.06/10.24 tff(11239,plain,
% 15.06/10.24 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB81) <=> (v110(constB81) | v117(constB81)))),
% 15.06/10.24 inference(quant_inst,[status(thm)],[])).
% 15.06/10.24 tff(11240,plain,
% 15.06/10.24 (v109(constB81) <=> (v110(constB81) | v117(constB81))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11239, 2423])).
% 15.06/10.24 tff(11241,plain,
% 15.06/10.24 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB81) <=> (v111(constB81) | v116(constB81)))),
% 15.06/10.24 inference(quant_inst,[status(thm)],[])).
% 15.06/10.24 tff(11242,plain,
% 15.06/10.24 (v110(constB81) <=> (v111(constB81) | v116(constB81))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11241, 2432])).
% 15.06/10.24 tff(11243,plain,
% 15.06/10.24 ((v111(constB81) | v116(constB81)) | (~v116(constB81))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11244,plain,
% 15.06/10.24 (v111(constB81) | v116(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11243, 11183])).
% 15.06/10.24 tff(11245,plain,
% 15.06/10.24 ((~(v110(constB81) <=> (v111(constB81) | v116(constB81)))) | v110(constB81) | (~(v111(constB81) | v116(constB81)))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11246,plain,
% 15.06/10.24 (v110(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11245, 11244, 11242])).
% 15.06/10.24 tff(11247,plain,
% 15.06/10.24 ((v110(constB81) | v117(constB81)) | (~v110(constB81))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11248,plain,
% 15.06/10.24 (v110(constB81) | v117(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11247, 11246])).
% 15.06/10.24 tff(11249,plain,
% 15.06/10.24 ((~(v109(constB81) <=> (v110(constB81) | v117(constB81)))) | v109(constB81) | (~(v110(constB81) | v117(constB81)))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11250,plain,
% 15.06/10.24 (v109(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11249, 11248, 11240])).
% 15.06/10.24 tff(11251,plain,
% 15.06/10.24 ((v109(constB81) | v118(constB81)) | (~v109(constB81))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11252,plain,
% 15.06/10.24 (v109(constB81) | v118(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11251, 11250])).
% 15.06/10.24 tff(11253,plain,
% 15.06/10.24 ((~(v108(constB81) <=> (v109(constB81) | v118(constB81)))) | v108(constB81) | (~(v109(constB81) | v118(constB81)))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11254,plain,
% 15.06/10.24 (v108(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11253, 11252, 11238])).
% 15.06/10.24 tff(11255,plain,
% 15.06/10.24 ((v108(constB81) | v119(constB81)) | (~v108(constB81))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11256,plain,
% 15.06/10.24 (v108(constB81) | v119(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11255, 11254])).
% 15.06/10.24 tff(11257,plain,
% 15.06/10.24 ((~(v107(constB81) <=> (v108(constB81) | v119(constB81)))) | v107(constB81) | (~(v108(constB81) | v119(constB81)))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11258,plain,
% 15.06/10.24 (v107(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11257, 11256, 11236])).
% 15.06/10.24 tff(11259,plain,
% 15.06/10.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB81)) <=> v105(constB81))),
% 15.06/10.24 inference(quant_inst,[status(thm)],[])).
% 15.06/10.24 tff(11260,plain,
% 15.06/10.24 ((~v120(constB81)) <=> v105(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11259, 2484])).
% 15.06/10.24 tff(11261,plain,
% 15.06/10.24 ((~((~v120(constB81)) <=> v105(constB81))) | v120(constB81) | v105(constB81)),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11262,plain,
% 15.06/10.24 ((~((~v120(constB81)) <=> v105(constB81))) | v120(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11261, 6939])).
% 15.06/10.24 tff(11263,plain,
% 15.06/10.24 (v120(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11262, 11260])).
% 15.06/10.24 tff(11264,plain,
% 15.06/10.24 ((~((~v107(constB81)) | (~v120(constB81)))) | (~v107(constB81)) | (~v120(constB81))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11265,plain,
% 15.06/10.24 ((~((~v107(constB81)) | (~v120(constB81)))) | (~v107(constB81))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11264, 11263])).
% 15.06/10.24 tff(11266,plain,
% 15.06/10.24 (~((~v107(constB81)) | (~v120(constB81)))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11265, 11258])).
% 15.06/10.24 tff(11267,plain,
% 15.06/10.24 ((~(v106(constB81) <=> (~((~v107(constB81)) | (~v120(constB81)))))) | v106(constB81) | ((~v107(constB81)) | (~v120(constB81)))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11268,plain,
% 15.06/10.24 (v106(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11267, 11266, 11234])).
% 15.06/10.24 tff(11269,plain,
% 15.06/10.24 ((v105(constB81) | v106(constB81)) | (~v106(constB81))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11270,plain,
% 15.06/10.24 (v105(constB81) | v106(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11269, 11268])).
% 15.06/10.24 tff(11271,plain,
% 15.06/10.24 ((~(v102(constB81) <=> (v105(constB81) | v106(constB81)))) | v102(constB81) | (~(v105(constB81) | v106(constB81)))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11272,plain,
% 15.06/10.24 (v102(constB81)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11271, 11270, 11232])).
% 15.06/10.24 tff(11273,plain,
% 15.06/10.24 ((~(v104(constB82) <=> v102(constB81))) | v104(constB82) | (~v102(constB81))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11274,plain,
% 15.06/10.24 (v104(constB82)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11273, 11272, 11230])).
% 15.06/10.24 tff(11275,plain,
% 15.06/10.24 ((~((~v95(constB82)) | (~v104(constB82)))) | (~v95(constB82)) | (~v104(constB82))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11276,plain,
% 15.06/10.24 (~((~v95(constB82)) | (~v104(constB82)))),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11275, 11274, 11226])).
% 15.06/10.24 tff(11277,plain,
% 15.06/10.24 ((~(v94(constB82) <=> (~((~v95(constB82)) | (~v104(constB82)))))) | v94(constB82) | ((~v95(constB82)) | (~v104(constB82)))),
% 15.06/10.24 inference(tautology,[status(thm)],[])).
% 15.06/10.24 tff(11278,plain,
% 15.06/10.24 (v94(constB82)),
% 15.06/10.24 inference(unit_resolution,[status(thm)],[11277, 11276, 11198])).
% 15.06/10.24 tff(11279,plain,
% 15.06/10.24 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB82)) | (~(((~v84(constB82, 0)) <=> v123(constB82, 0)) | ((~v84(constB82, 2)) <=> v123(constB82, 2)) | ((~v84(constB82, 1)) <=> v123(constB82, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB82)) | (~(((~v84(constB82, 0)) <=> v123(constB82, 0)) | ((~v84(constB82, 2)) <=> v123(constB82, 2)) | ((~v84(constB82, 1)) <=> v123(constB82, 1)))))),
% 15.06/10.25 inference(rewrite,[status(thm)],[])).
% 15.06/10.25 tff(11280,plain,
% 15.06/10.25 (((~v94(constB82)) | (~(((~v84(constB82, 2)) <=> v123(constB82, 2)) | ((~v84(constB82, 1)) <=> v123(constB82, 1)) | ((~v84(constB82, 0)) <=> v123(constB82, 0))))) <=> ((~v94(constB82)) | (~(((~v84(constB82, 0)) <=> v123(constB82, 0)) | ((~v84(constB82, 2)) <=> v123(constB82, 2)) | ((~v84(constB82, 1)) <=> v123(constB82, 1)))))),
% 15.06/10.25 inference(rewrite,[status(thm)],[])).
% 15.06/10.25 tff(11281,plain,
% 15.06/10.25 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB82)) | (~(((~v84(constB82, 2)) <=> v123(constB82, 2)) | ((~v84(constB82, 1)) <=> v123(constB82, 1)) | ((~v84(constB82, 0)) <=> v123(constB82, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB82)) | (~(((~v84(constB82, 0)) <=> v123(constB82, 0)) | ((~v84(constB82, 2)) <=> v123(constB82, 2)) | ((~v84(constB82, 1)) <=> v123(constB82, 1))))))),
% 15.06/10.25 inference(monotonicity,[status(thm)],[11280])).
% 15.06/10.25 tff(11282,plain,
% 15.06/10.25 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB82)) | (~(((~v84(constB82, 2)) <=> v123(constB82, 2)) | ((~v84(constB82, 1)) <=> v123(constB82, 1)) | ((~v84(constB82, 0)) <=> v123(constB82, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB82)) | (~(((~v84(constB82, 0)) <=> v123(constB82, 0)) | ((~v84(constB82, 2)) <=> v123(constB82, 2)) | ((~v84(constB82, 1)) <=> v123(constB82, 1)))))),
% 15.06/10.25 inference(transitivity,[status(thm)],[11281, 11279])).
% 15.06/10.25 tff(11283,plain,
% 15.06/10.25 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB82)) | (~(((~v84(constB82, 2)) <=> v123(constB82, 2)) | ((~v84(constB82, 1)) <=> v123(constB82, 1)) | ((~v84(constB82, 0)) <=> v123(constB82, 0)))))),
% 15.06/10.25 inference(quant_inst,[status(thm)],[])).
% 15.06/10.25 tff(11284,plain,
% 15.06/10.25 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB82)) | (~(((~v84(constB82, 0)) <=> v123(constB82, 0)) | ((~v84(constB82, 2)) <=> v123(constB82, 2)) | ((~v84(constB82, 1)) <=> v123(constB82, 1))))),
% 15.06/10.25 inference(modus_ponens,[status(thm)],[11283, 11282])).
% 15.06/10.25 tff(11285,plain,
% 15.06/10.25 ((~v94(constB82)) | (~(((~v84(constB82, 0)) <=> v123(constB82, 0)) | ((~v84(constB82, 2)) <=> v123(constB82, 2)) | ((~v84(constB82, 1)) <=> v123(constB82, 1))))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11284, 2517])).
% 15.06/10.25 tff(11286,plain,
% 15.06/10.25 (~(((~v84(constB82, 0)) <=> v123(constB82, 0)) | ((~v84(constB82, 2)) <=> v123(constB82, 2)) | ((~v84(constB82, 1)) <=> v123(constB82, 1)))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11285, 11278])).
% 15.06/10.25 tff(11287,plain,
% 15.06/10.25 ((((~v84(constB82, 0)) <=> v123(constB82, 0)) | ((~v84(constB82, 2)) <=> v123(constB82, 2)) | ((~v84(constB82, 1)) <=> v123(constB82, 1))) | (~((~v84(constB82, 2)) <=> v123(constB82, 2)))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11288,plain,
% 15.06/10.25 (~((~v84(constB82, 2)) <=> v123(constB82, 2))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11287, 11286])).
% 15.06/10.25 tff(11289,plain,
% 15.06/10.25 (((~v84(constB82, 2)) <=> v123(constB82, 2)) | v84(constB82, 2) | (~v123(constB82, 2))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11290,plain,
% 15.06/10.25 (v84(constB82, 2)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11289, 11288, 11194])).
% 15.06/10.25 tff(11291,plain,
% 15.06/10.25 (((~v84(constB83, 2)) <=> v84(constB82, 2)) | v84(constB83, 2) | (~v84(constB82, 2))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11292,plain,
% 15.06/10.25 (v84(constB83, 2)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11291, 11290, 6923])).
% 15.06/10.25 tff(11293,plain,
% 15.06/10.25 ((((~v84(constB83, 1)) <=> v84(constB82, 1)) | ((~v84(constB83, 2)) <=> v84(constB82, 2)) | ((~v84(constB83, 0)) <=> v84(constB82, 0))) | (~((~v84(constB83, 0)) <=> v84(constB82, 0)))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11294,plain,
% 15.06/10.25 (~((~v84(constB83, 0)) <=> v84(constB82, 0))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11293, 6921])).
% 15.06/10.25 tff(11295,plain,
% 15.06/10.25 ((((~v123(constB82, 2)) <=> v121(constB81, 2)) | ((~v123(constB82, 1)) <=> v121(constB81, 1)) | ((~v123(constB82, 0)) <=> v121(constB81, 0))) | (~((~v123(constB82, 0)) <=> v121(constB81, 0)))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11296,plain,
% 15.06/10.25 (~((~v123(constB82, 0)) <=> v121(constB81, 0))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11295, 6930])).
% 15.06/10.25 tff(11297,plain,
% 15.06/10.25 ((((~v121(constB81, 2)) <=> v124(constB81, 2)) | ((~v121(constB81, 0)) <=> v124(constB81, 0)) | ((~v121(constB81, 1)) <=> v124(constB81, 1))) | (~((~v121(constB81, 0)) <=> v124(constB81, 0)))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11298,plain,
% 15.06/10.25 (~((~v121(constB81, 0)) <=> v124(constB81, 0))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11297, 6944])).
% 15.06/10.25 tff(11299,plain,
% 15.06/10.25 ((v124(constB81, 0) | v124(constB81, 1) | (~v124(constB81, 2))) | (~v124(constB81, 0))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11300,plain,
% 15.06/10.25 (~v124(constB81, 0)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11299, 11188])).
% 15.06/10.25 tff(11301,plain,
% 15.06/10.25 (((~v121(constB81, 0)) <=> v124(constB81, 0)) | (~v121(constB81, 0)) | v124(constB81, 0)),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11302,plain,
% 15.06/10.25 (~v121(constB81, 0)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11301, 11300, 11298])).
% 15.06/10.25 tff(11303,plain,
% 15.06/10.25 (((~v123(constB82, 0)) <=> v121(constB81, 0)) | (~v123(constB82, 0)) | v121(constB81, 0)),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11304,plain,
% 15.06/10.25 (~v123(constB82, 0)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11303, 11302, 11296])).
% 15.06/10.25 tff(11305,plain,
% 15.06/10.25 ((((~v84(constB82, 0)) <=> v123(constB82, 0)) | ((~v84(constB82, 2)) <=> v123(constB82, 2)) | ((~v84(constB82, 1)) <=> v123(constB82, 1))) | (~((~v84(constB82, 0)) <=> v123(constB82, 0)))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11306,plain,
% 15.06/10.25 (~((~v84(constB82, 0)) <=> v123(constB82, 0))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11305, 11286])).
% 15.06/10.25 tff(11307,plain,
% 15.06/10.25 (((~v84(constB82, 0)) <=> v123(constB82, 0)) | (~v84(constB82, 0)) | v123(constB82, 0)),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11308,plain,
% 15.06/10.25 (~v84(constB82, 0)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11307, 11306, 11304])).
% 15.06/10.25 tff(11309,plain,
% 15.06/10.25 (((~v84(constB83, 0)) <=> v84(constB82, 0)) | (~v84(constB83, 0)) | v84(constB82, 0)),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11310,plain,
% 15.06/10.25 (~v84(constB83, 0)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11309, 11308, 11294])).
% 15.06/10.25 tff(11311,plain,
% 15.06/10.25 ((((~v84(constB83, 1)) <=> v84(constB82, 1)) | ((~v84(constB83, 2)) <=> v84(constB82, 2)) | ((~v84(constB83, 0)) <=> v84(constB82, 0))) | (~((~v84(constB83, 1)) <=> v84(constB82, 1)))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11312,plain,
% 15.06/10.25 (~((~v84(constB83, 1)) <=> v84(constB82, 1))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11311, 6921])).
% 15.06/10.25 tff(11313,plain,
% 15.06/10.25 ((((~v123(constB82, 2)) <=> v121(constB81, 2)) | ((~v123(constB82, 1)) <=> v121(constB81, 1)) | ((~v123(constB82, 0)) <=> v121(constB81, 0))) | (~((~v123(constB82, 1)) <=> v121(constB81, 1)))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11314,plain,
% 15.06/10.25 (~((~v123(constB82, 1)) <=> v121(constB81, 1))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11313, 6930])).
% 15.06/10.25 tff(11315,plain,
% 15.06/10.25 ((((~v121(constB81, 2)) <=> v124(constB81, 2)) | ((~v121(constB81, 0)) <=> v124(constB81, 0)) | ((~v121(constB81, 1)) <=> v124(constB81, 1))) | (~((~v121(constB81, 1)) <=> v124(constB81, 1)))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11316,plain,
% 15.06/10.25 (~((~v121(constB81, 1)) <=> v124(constB81, 1))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11315, 6944])).
% 15.06/10.25 tff(11317,plain,
% 15.06/10.25 ((v124(constB81, 0) | v124(constB81, 1) | (~v124(constB81, 2))) | (~v124(constB81, 1))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11318,plain,
% 15.06/10.25 (~v124(constB81, 1)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11317, 11188])).
% 15.06/10.25 tff(11319,plain,
% 15.06/10.25 (((~v121(constB81, 1)) <=> v124(constB81, 1)) | (~v121(constB81, 1)) | v124(constB81, 1)),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11320,plain,
% 15.06/10.25 (~v121(constB81, 1)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11319, 11318, 11316])).
% 15.06/10.25 tff(11321,plain,
% 15.06/10.25 (((~v123(constB82, 1)) <=> v121(constB81, 1)) | (~v123(constB82, 1)) | v121(constB81, 1)),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11322,plain,
% 15.06/10.25 (~v123(constB82, 1)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11321, 11320, 11314])).
% 15.06/10.25 tff(11323,plain,
% 15.06/10.25 ((((~v84(constB82, 0)) <=> v123(constB82, 0)) | ((~v84(constB82, 2)) <=> v123(constB82, 2)) | ((~v84(constB82, 1)) <=> v123(constB82, 1))) | (~((~v84(constB82, 1)) <=> v123(constB82, 1)))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11324,plain,
% 15.06/10.25 (~((~v84(constB82, 1)) <=> v123(constB82, 1))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11323, 11286])).
% 15.06/10.25 tff(11325,plain,
% 15.06/10.25 (((~v84(constB82, 1)) <=> v123(constB82, 1)) | (~v84(constB82, 1)) | v123(constB82, 1)),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11326,plain,
% 15.06/10.25 (~v84(constB82, 1)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11325, 11324, 11322])).
% 15.06/10.25 tff(11327,plain,
% 15.06/10.25 (((~v84(constB83, 1)) <=> v84(constB82, 1)) | (~v84(constB83, 1)) | v84(constB82, 1)),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11328,plain,
% 15.06/10.25 (~v84(constB83, 1)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11327, 11326, 11312])).
% 15.06/10.25 tff(11329,plain,
% 15.06/10.25 ((~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))) | v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11330,plain,
% 15.06/10.25 (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11329, 11328, 11310, 11292])).
% 15.06/10.25 tff(11331,plain,
% 15.06/10.25 ((~(v117(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))))) | v117(constB83) | (v84(constB83, 1) | v84(constB83, 0) | (~v84(constB83, 2)))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11332,plain,
% 15.06/10.25 (v117(constB83)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11331, 11330, 6887])).
% 15.06/10.25 tff(11333,plain,
% 15.06/10.25 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB83)) | (~(v124(constB83, 0) | (~v124(constB83, 2)) | (~v124(constB83, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB83)) | (~(v124(constB83, 0) | (~v124(constB83, 2)) | (~v124(constB83, 1)))))),
% 15.06/10.25 inference(rewrite,[status(thm)],[])).
% 15.06/10.25 tff(11334,plain,
% 15.06/10.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB83)) | (~(v124(constB83, 0) | (~v124(constB83, 2)) | (~v124(constB83, 1)))))),
% 15.06/10.25 inference(quant_inst,[status(thm)],[])).
% 15.06/10.25 tff(11335,plain,
% 15.06/10.25 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB83)) | (~(v124(constB83, 0) | (~v124(constB83, 2)) | (~v124(constB83, 1))))),
% 15.06/10.25 inference(modus_ponens,[status(thm)],[11334, 11333])).
% 15.06/10.25 tff(11336,plain,
% 15.06/10.25 ((~v117(constB83)) | (~(v124(constB83, 0) | (~v124(constB83, 2)) | (~v124(constB83, 1))))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11335, 2584])).
% 15.06/10.25 tff(11337,plain,
% 15.06/10.25 (~(v124(constB83, 0) | (~v124(constB83, 2)) | (~v124(constB83, 1)))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11336, 11332])).
% 15.06/10.25 tff(11338,plain,
% 15.06/10.25 ((v124(constB83, 0) | (~v124(constB83, 2)) | (~v124(constB83, 1))) | v124(constB83, 2)),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11339,plain,
% 15.06/10.25 (v124(constB83, 2)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11338, 11337])).
% 15.06/10.25 tff(11340,plain,
% 15.06/10.25 (((~v121(constB83, 2)) <=> v124(constB83, 2)) | v121(constB83, 2) | (~v124(constB83, 2))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11341,plain,
% 15.06/10.25 (v121(constB83, 2)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11340, 11339, 6880])).
% 15.06/10.25 tff(11342,plain,
% 15.06/10.25 (((~v123(constB84, 2)) <=> v121(constB83, 2)) | v123(constB84, 2) | (~v121(constB83, 2))),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11343,plain,
% 15.06/10.25 (v123(constB84, 2)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11342, 11341, 6866])).
% 15.06/10.25 tff(11344,plain,
% 15.06/10.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB83, constB84)) | (v94(constB84) <=> (~((~v95(constB84)) | (~v104(constB84))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB83, constB84)) | (v94(constB84) <=> (~((~v95(constB84)) | (~v104(constB84))))))),
% 15.06/10.25 inference(rewrite,[status(thm)],[])).
% 15.06/10.25 tff(11345,plain,
% 15.06/10.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB83, constB84)) | (v94(constB84) <=> (~((~v95(constB84)) | (~v104(constB84))))))),
% 15.06/10.25 inference(quant_inst,[status(thm)],[])).
% 15.06/10.25 tff(11346,plain,
% 15.06/10.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB83, constB84)) | (v94(constB84) <=> (~((~v95(constB84)) | (~v104(constB84)))))),
% 15.06/10.25 inference(modus_ponens,[status(thm)],[11345, 11344])).
% 15.06/10.25 tff(11347,plain,
% 15.06/10.25 (v94(constB84) <=> (~((~v95(constB84)) | (~v104(constB84))))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11346, 6860, 770])).
% 15.06/10.25 tff(11348,plain,
% 15.06/10.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84))))))),
% 15.06/10.25 inference(rewrite,[status(thm)],[])).
% 15.06/10.25 tff(11349,plain,
% 15.06/10.25 (((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v96(constB84)) | (~v1(constB84)))))) <=> ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84))))))),
% 15.06/10.25 inference(rewrite,[status(thm)],[])).
% 15.06/10.25 tff(11350,plain,
% 15.06/10.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v96(constB84)) | (~v1(constB84))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84)))))))),
% 15.06/10.25 inference(monotonicity,[status(thm)],[11349])).
% 15.06/10.25 tff(11351,plain,
% 15.06/10.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v96(constB84)) | (~v1(constB84))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84))))))),
% 15.06/10.25 inference(transitivity,[status(thm)],[11350, 11348])).
% 15.06/10.25 tff(11352,plain,
% 15.06/10.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v96(constB84)) | (~v1(constB84))))))),
% 15.06/10.25 inference(quant_inst,[status(thm)],[])).
% 15.06/10.25 tff(11353,plain,
% 15.06/10.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84)))))),
% 15.06/10.25 inference(modus_ponens,[status(thm)],[11352, 11351])).
% 15.06/10.25 tff(11354,plain,
% 15.06/10.25 (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84))))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11353, 6860, 790])).
% 15.06/10.25 tff(11355,plain,
% 15.06/10.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB83, constB84)) | ((~v96(constB84)) <=> v98(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB83, constB84)) | ((~v96(constB84)) <=> v98(constB84)))),
% 15.06/10.25 inference(rewrite,[status(thm)],[])).
% 15.06/10.25 tff(11356,plain,
% 15.06/10.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB83, constB84)) | ((~v96(constB84)) <=> v98(constB84)))),
% 15.06/10.25 inference(quant_inst,[status(thm)],[])).
% 15.06/10.25 tff(11357,plain,
% 15.06/10.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB83, constB84)) | ((~v96(constB84)) <=> v98(constB84))),
% 15.06/10.25 inference(modus_ponens,[status(thm)],[11356, 11355])).
% 15.06/10.25 tff(11358,plain,
% 15.06/10.25 ((~v96(constB84)) <=> v98(constB84)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11357, 6860, 2332])).
% 15.06/10.25 tff(11359,plain,
% 15.06/10.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v98(constB84) <=> v1(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v98(constB84) <=> v1(constB83)))),
% 15.06/10.25 inference(rewrite,[status(thm)],[])).
% 15.06/10.25 tff(11360,plain,
% 15.06/10.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v98(constB84) <=> v1(constB83)))),
% 15.06/10.25 inference(quant_inst,[status(thm)],[])).
% 15.06/10.25 tff(11361,plain,
% 15.06/10.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v98(constB84) <=> v1(constB83))),
% 15.06/10.25 inference(modus_ponens,[status(thm)],[11360, 11359])).
% 15.06/10.25 tff(11362,plain,
% 15.06/10.25 (v98(constB84) <=> v1(constB83)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11361, 6860, 2346])).
% 15.06/10.25 tff(11363,plain,
% 15.06/10.25 ((~(v98(constB84) <=> v1(constB83))) | (~v98(constB84)) | v1(constB83)),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11364,plain,
% 15.06/10.25 ((~(v98(constB84) <=> v1(constB83))) | (~v98(constB84))),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11363, 6904])).
% 15.06/10.25 tff(11365,plain,
% 15.06/10.25 (~v98(constB84)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11364, 11362])).
% 15.06/10.25 tff(11366,plain,
% 15.06/10.25 ((~((~v96(constB84)) <=> v98(constB84))) | v96(constB84) | v98(constB84)),
% 15.06/10.25 inference(tautology,[status(thm)],[])).
% 15.06/10.25 tff(11367,plain,
% 15.06/10.25 (v96(constB84)),
% 15.06/10.25 inference(unit_resolution,[status(thm)],[11366, 11365, 11358])).
% 15.06/10.25 tff(11368,plain,
% 15.06/10.25 (v1(constB84) <=> v1(constB84)),
% 15.06/10.25 inference(rewrite,[status(thm)],[])).
% 15.06/10.25 tff(11369,axiom,(v1(constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_84')).
% 15.06/10.25 tff(11370,plain,
% 15.06/10.25 (v1(constB84)),
% 15.06/10.25 inference(modus_ponens,[status(thm)],[11369, 11368])).
% 15.06/10.25 tff(11371,plain,
% 15.06/10.25 ((~((~v1(constB84)) | (~v96(constB84)))) | (~v1(constB84)) | (~v96(constB84))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11372,plain,
% 15.06/10.26 ((~((~v1(constB84)) | (~v96(constB84)))) | (~v96(constB84))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11371, 11370])).
% 15.06/10.26 tff(11373,plain,
% 15.06/10.26 (~((~v1(constB84)) | (~v96(constB84)))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11372, 11367])).
% 15.06/10.26 tff(11374,plain,
% 15.06/10.26 ((~(v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84)))))) | v95(constB84) | ((~v1(constB84)) | (~v96(constB84)))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11375,plain,
% 15.06/10.26 (v95(constB84)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11374, 11373, 11354])).
% 15.06/10.26 tff(11376,plain,
% 15.06/10.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v102(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v102(constB83)))),
% 15.06/10.26 inference(rewrite,[status(thm)],[])).
% 15.06/10.26 tff(11377,plain,
% 15.06/10.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v102(constB83)))),
% 15.06/10.26 inference(quant_inst,[status(thm)],[])).
% 15.06/10.26 tff(11378,plain,
% 15.06/10.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v102(constB83))),
% 15.06/10.26 inference(modus_ponens,[status(thm)],[11377, 11376])).
% 15.06/10.26 tff(11379,plain,
% 15.06/10.26 (v104(constB84) <=> v102(constB83)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11378, 6860, 2373])).
% 15.06/10.26 tff(11380,plain,
% 15.06/10.26 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB83) <=> (v105(constB83) | v106(constB83)))),
% 15.06/10.26 inference(quant_inst,[status(thm)],[])).
% 15.06/10.26 tff(11381,plain,
% 15.06/10.26 (v102(constB83) <=> (v105(constB83) | v106(constB83))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11380, 2384])).
% 15.06/10.26 tff(11382,plain,
% 15.06/10.26 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB83) <=> (~((~v107(constB83)) | (~v120(constB83)))))),
% 15.06/10.26 inference(quant_inst,[status(thm)],[])).
% 15.06/10.26 tff(11383,plain,
% 15.06/10.26 (v106(constB83) <=> (~((~v107(constB83)) | (~v120(constB83))))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11382, 2396])).
% 15.06/10.26 tff(11384,plain,
% 15.06/10.26 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB83) <=> (v108(constB83) | v119(constB83)))),
% 15.06/10.26 inference(quant_inst,[status(thm)],[])).
% 15.06/10.26 tff(11385,plain,
% 15.06/10.26 (v107(constB83) <=> (v108(constB83) | v119(constB83))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11384, 2405])).
% 15.06/10.26 tff(11386,plain,
% 15.06/10.26 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB83) <=> (v109(constB83) | v118(constB83)))),
% 15.06/10.26 inference(quant_inst,[status(thm)],[])).
% 15.06/10.26 tff(11387,plain,
% 15.06/10.26 (v108(constB83) <=> (v109(constB83) | v118(constB83))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11386, 2414])).
% 15.06/10.26 tff(11388,plain,
% 15.06/10.26 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB83) <=> (v110(constB83) | v117(constB83)))),
% 15.06/10.26 inference(quant_inst,[status(thm)],[])).
% 15.06/10.26 tff(11389,plain,
% 15.06/10.26 (v109(constB83) <=> (v110(constB83) | v117(constB83))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11388, 2423])).
% 15.06/10.26 tff(11390,plain,
% 15.06/10.26 ((v110(constB83) | v117(constB83)) | (~v117(constB83))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11391,plain,
% 15.06/10.26 (v110(constB83) | v117(constB83)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11390, 11332])).
% 15.06/10.26 tff(11392,plain,
% 15.06/10.26 ((~(v109(constB83) <=> (v110(constB83) | v117(constB83)))) | v109(constB83) | (~(v110(constB83) | v117(constB83)))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11393,plain,
% 15.06/10.26 (v109(constB83)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11392, 11391, 11389])).
% 15.06/10.26 tff(11394,plain,
% 15.06/10.26 ((v109(constB83) | v118(constB83)) | (~v109(constB83))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11395,plain,
% 15.06/10.26 (v109(constB83) | v118(constB83)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11394, 11393])).
% 15.06/10.26 tff(11396,plain,
% 15.06/10.26 ((~(v108(constB83) <=> (v109(constB83) | v118(constB83)))) | v108(constB83) | (~(v109(constB83) | v118(constB83)))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11397,plain,
% 15.06/10.26 (v108(constB83)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11396, 11395, 11387])).
% 15.06/10.26 tff(11398,plain,
% 15.06/10.26 ((v108(constB83) | v119(constB83)) | (~v108(constB83))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11399,plain,
% 15.06/10.26 (v108(constB83) | v119(constB83)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11398, 11397])).
% 15.06/10.26 tff(11400,plain,
% 15.06/10.26 ((~(v107(constB83) <=> (v108(constB83) | v119(constB83)))) | v107(constB83) | (~(v108(constB83) | v119(constB83)))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11401,plain,
% 15.06/10.26 (v107(constB83)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11400, 11399, 11385])).
% 15.06/10.26 tff(11402,plain,
% 15.06/10.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB83)) <=> v105(constB83))),
% 15.06/10.26 inference(quant_inst,[status(thm)],[])).
% 15.06/10.26 tff(11403,plain,
% 15.06/10.26 ((~v120(constB83)) <=> v105(constB83)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11402, 2484])).
% 15.06/10.26 tff(11404,plain,
% 15.06/10.26 ((~((~v120(constB83)) <=> v105(constB83))) | v120(constB83) | v105(constB83)),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11405,plain,
% 15.06/10.26 ((~((~v120(constB83)) <=> v105(constB83))) | v120(constB83)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11404, 6873])).
% 15.06/10.26 tff(11406,plain,
% 15.06/10.26 (v120(constB83)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11405, 11403])).
% 15.06/10.26 tff(11407,plain,
% 15.06/10.26 ((~((~v107(constB83)) | (~v120(constB83)))) | (~v107(constB83)) | (~v120(constB83))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11408,plain,
% 15.06/10.26 ((~((~v107(constB83)) | (~v120(constB83)))) | (~v107(constB83))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11407, 11406])).
% 15.06/10.26 tff(11409,plain,
% 15.06/10.26 (~((~v107(constB83)) | (~v120(constB83)))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11408, 11401])).
% 15.06/10.26 tff(11410,plain,
% 15.06/10.26 ((~(v106(constB83) <=> (~((~v107(constB83)) | (~v120(constB83)))))) | v106(constB83) | ((~v107(constB83)) | (~v120(constB83)))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11411,plain,
% 15.06/10.26 (v106(constB83)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11410, 11409, 11383])).
% 15.06/10.26 tff(11412,plain,
% 15.06/10.26 ((v105(constB83) | v106(constB83)) | (~v106(constB83))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11413,plain,
% 15.06/10.26 (v105(constB83) | v106(constB83)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11412, 11411])).
% 15.06/10.26 tff(11414,plain,
% 15.06/10.26 ((~(v102(constB83) <=> (v105(constB83) | v106(constB83)))) | v102(constB83) | (~(v105(constB83) | v106(constB83)))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11415,plain,
% 15.06/10.26 (v102(constB83)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11414, 11413, 11381])).
% 15.06/10.26 tff(11416,plain,
% 15.06/10.26 ((~(v104(constB84) <=> v102(constB83))) | v104(constB84) | (~v102(constB83))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11417,plain,
% 15.06/10.26 (v104(constB84)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11416, 11415, 11379])).
% 15.06/10.26 tff(11418,plain,
% 15.06/10.26 ((~((~v95(constB84)) | (~v104(constB84)))) | (~v95(constB84)) | (~v104(constB84))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11419,plain,
% 15.06/10.26 (~((~v95(constB84)) | (~v104(constB84)))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11418, 11417, 11375])).
% 15.06/10.26 tff(11420,plain,
% 15.06/10.26 ((~(v94(constB84) <=> (~((~v95(constB84)) | (~v104(constB84)))))) | v94(constB84) | ((~v95(constB84)) | (~v104(constB84)))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11421,plain,
% 15.06/10.26 (v94(constB84)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11420, 11419, 11347])).
% 15.06/10.26 tff(11422,plain,
% 15.06/10.26 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB84)) | (~(((~v84(constB84, 2)) <=> v123(constB84, 2)) | ((~v84(constB84, 1)) <=> v123(constB84, 1)) | ((~v84(constB84, 0)) <=> v123(constB84, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB84)) | (~(((~v84(constB84, 2)) <=> v123(constB84, 2)) | ((~v84(constB84, 1)) <=> v123(constB84, 1)) | ((~v84(constB84, 0)) <=> v123(constB84, 0)))))),
% 15.06/10.26 inference(rewrite,[status(thm)],[])).
% 15.06/10.26 tff(11423,plain,
% 15.06/10.26 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB84)) | (~(((~v84(constB84, 2)) <=> v123(constB84, 2)) | ((~v84(constB84, 1)) <=> v123(constB84, 1)) | ((~v84(constB84, 0)) <=> v123(constB84, 0)))))),
% 15.06/10.26 inference(quant_inst,[status(thm)],[])).
% 15.06/10.26 tff(11424,plain,
% 15.06/10.26 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB84)) | (~(((~v84(constB84, 2)) <=> v123(constB84, 2)) | ((~v84(constB84, 1)) <=> v123(constB84, 1)) | ((~v84(constB84, 0)) <=> v123(constB84, 0))))),
% 15.06/10.26 inference(modus_ponens,[status(thm)],[11423, 11422])).
% 15.06/10.26 tff(11425,plain,
% 15.06/10.26 ((~v94(constB84)) | (~(((~v84(constB84, 2)) <=> v123(constB84, 2)) | ((~v84(constB84, 1)) <=> v123(constB84, 1)) | ((~v84(constB84, 0)) <=> v123(constB84, 0))))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11424, 2517])).
% 15.06/10.26 tff(11426,plain,
% 15.06/10.26 (~(((~v84(constB84, 2)) <=> v123(constB84, 2)) | ((~v84(constB84, 1)) <=> v123(constB84, 1)) | ((~v84(constB84, 0)) <=> v123(constB84, 0)))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11425, 11421])).
% 15.06/10.26 tff(11427,plain,
% 15.06/10.26 ((((~v84(constB84, 2)) <=> v123(constB84, 2)) | ((~v84(constB84, 1)) <=> v123(constB84, 1)) | ((~v84(constB84, 0)) <=> v123(constB84, 0))) | (~((~v84(constB84, 2)) <=> v123(constB84, 2)))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11428,plain,
% 15.06/10.26 (~((~v84(constB84, 2)) <=> v123(constB84, 2))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11427, 11426])).
% 15.06/10.26 tff(11429,plain,
% 15.06/10.26 (((~v84(constB84, 2)) <=> v123(constB84, 2)) | v84(constB84, 2) | (~v123(constB84, 2))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11430,plain,
% 15.06/10.26 (v84(constB84, 2)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11429, 11428, 11343])).
% 15.06/10.26 tff(11431,plain,
% 15.06/10.26 (((~v84(constB85, 2)) <=> v84(constB84, 2)) | v84(constB85, 2) | (~v84(constB84, 2))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11432,plain,
% 15.06/10.26 (v84(constB85, 2)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11431, 11430, 6857])).
% 15.06/10.26 tff(11433,plain,
% 15.06/10.26 ((v84(constB85, 0) | v84(constB85, 1) | v84(constB85, 2)) | (~v84(constB85, 2))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11434,plain,
% 15.06/10.26 (v84(constB85, 0) | v84(constB85, 1) | v84(constB85, 2)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11433, 11432])).
% 15.06/10.26 tff(11435,plain,
% 15.06/10.26 ((~(v113(constB85) <=> (~(v84(constB85, 0) | v84(constB85, 1) | v84(constB85, 2))))) | (~v113(constB85)) | (~(v84(constB85, 0) | v84(constB85, 1) | v84(constB85, 2)))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11436,plain,
% 15.06/10.26 (~v113(constB85)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11435, 11434, 6821])).
% 15.06/10.26 tff(11437,plain,
% 15.06/10.26 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB85) <=> (~(v84(constB85, 1) | (~v84(constB85, 2)) | (~v84(constB85, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB85) <=> (~(v84(constB85, 1) | (~v84(constB85, 2)) | (~v84(constB85, 0))))))),
% 15.06/10.26 inference(rewrite,[status(thm)],[])).
% 15.06/10.26 tff(11438,plain,
% 15.06/10.26 ((v118(constB85) <=> (~(v84(constB85, 1) | (~v84(constB85, 0)) | (~v84(constB85, 2))))) <=> (v118(constB85) <=> (~(v84(constB85, 1) | (~v84(constB85, 2)) | (~v84(constB85, 0)))))),
% 15.06/10.26 inference(rewrite,[status(thm)],[])).
% 15.06/10.26 tff(11439,plain,
% 15.06/10.26 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB85) <=> (~(v84(constB85, 1) | (~v84(constB85, 0)) | (~v84(constB85, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB85) <=> (~(v84(constB85, 1) | (~v84(constB85, 2)) | (~v84(constB85, 0))))))),
% 15.06/10.26 inference(monotonicity,[status(thm)],[11438])).
% 15.06/10.26 tff(11440,plain,
% 15.06/10.26 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB85) <=> (~(v84(constB85, 1) | (~v84(constB85, 0)) | (~v84(constB85, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB85) <=> (~(v84(constB85, 1) | (~v84(constB85, 2)) | (~v84(constB85, 0))))))),
% 15.06/10.26 inference(transitivity,[status(thm)],[11439, 11437])).
% 15.06/10.26 tff(11441,plain,
% 15.06/10.26 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB85) <=> (~(v84(constB85, 1) | (~v84(constB85, 0)) | (~v84(constB85, 2)))))),
% 15.06/10.26 inference(quant_inst,[status(thm)],[])).
% 15.06/10.26 tff(11442,plain,
% 15.06/10.26 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB85) <=> (~(v84(constB85, 1) | (~v84(constB85, 2)) | (~v84(constB85, 0)))))),
% 15.06/10.26 inference(modus_ponens,[status(thm)],[11441, 11440])).
% 15.06/10.26 tff(11443,plain,
% 15.06/10.26 (v118(constB85) <=> (~(v84(constB85, 1) | (~v84(constB85, 2)) | (~v84(constB85, 0))))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11442, 2701])).
% 15.06/10.26 tff(11444,plain,
% 15.06/10.26 ((((~v84(constB85, 1)) <=> v84(constB84, 1)) | ((~v84(constB85, 2)) <=> v84(constB84, 2)) | ((~v84(constB85, 0)) <=> v84(constB84, 0))) | (~((~v84(constB85, 1)) <=> v84(constB84, 1)))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11445,plain,
% 15.06/10.26 (~((~v84(constB85, 1)) <=> v84(constB84, 1))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11444, 6855])).
% 15.06/10.26 tff(11446,plain,
% 15.06/10.26 ((((~v123(constB84, 2)) <=> v121(constB83, 2)) | ((~v123(constB84, 1)) <=> v121(constB83, 1)) | ((~v123(constB84, 0)) <=> v121(constB83, 0))) | (~((~v123(constB84, 1)) <=> v121(constB83, 1)))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11447,plain,
% 15.06/10.26 (~((~v123(constB84, 1)) <=> v121(constB83, 1))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11446, 6864])).
% 15.06/10.26 tff(11448,plain,
% 15.06/10.26 ((((~v121(constB83, 2)) <=> v124(constB83, 2)) | ((~v121(constB83, 0)) <=> v124(constB83, 0)) | ((~v121(constB83, 1)) <=> v124(constB83, 1))) | (~((~v121(constB83, 1)) <=> v124(constB83, 1)))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11449,plain,
% 15.06/10.26 (~((~v121(constB83, 1)) <=> v124(constB83, 1))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11448, 6878])).
% 15.06/10.26 tff(11450,plain,
% 15.06/10.26 ((v124(constB83, 0) | (~v124(constB83, 2)) | (~v124(constB83, 1))) | v124(constB83, 1)),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11451,plain,
% 15.06/10.26 (v124(constB83, 1)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11450, 11337])).
% 15.06/10.26 tff(11452,plain,
% 15.06/10.26 (((~v121(constB83, 1)) <=> v124(constB83, 1)) | v121(constB83, 1) | (~v124(constB83, 1))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11453,plain,
% 15.06/10.26 (v121(constB83, 1)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11452, 11451, 11449])).
% 15.06/10.26 tff(11454,plain,
% 15.06/10.26 (((~v123(constB84, 1)) <=> v121(constB83, 1)) | v123(constB84, 1) | (~v121(constB83, 1))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11455,plain,
% 15.06/10.26 (v123(constB84, 1)),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11454, 11453, 11447])).
% 15.06/10.26 tff(11456,plain,
% 15.06/10.26 ((((~v84(constB84, 2)) <=> v123(constB84, 2)) | ((~v84(constB84, 1)) <=> v123(constB84, 1)) | ((~v84(constB84, 0)) <=> v123(constB84, 0))) | (~((~v84(constB84, 1)) <=> v123(constB84, 1)))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11457,plain,
% 15.06/10.26 (~((~v84(constB84, 1)) <=> v123(constB84, 1))),
% 15.06/10.26 inference(unit_resolution,[status(thm)],[11456, 11426])).
% 15.06/10.26 tff(11458,plain,
% 15.06/10.26 (((~v84(constB84, 1)) <=> v123(constB84, 1)) | v84(constB84, 1) | (~v123(constB84, 1))),
% 15.06/10.26 inference(tautology,[status(thm)],[])).
% 15.06/10.26 tff(11459,plain,
% 15.06/10.27 (v84(constB84, 1)),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11458, 11457, 11455])).
% 15.06/10.27 tff(11460,plain,
% 15.06/10.27 (((~v84(constB85, 1)) <=> v84(constB84, 1)) | v84(constB85, 1) | (~v84(constB84, 1))),
% 15.06/10.27 inference(tautology,[status(thm)],[])).
% 15.06/10.27 tff(11461,plain,
% 15.06/10.27 (v84(constB85, 1)),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11460, 11459, 11445])).
% 15.06/10.27 tff(11462,plain,
% 15.06/10.27 ((v84(constB85, 1) | (~v84(constB85, 2)) | (~v84(constB85, 0))) | (~v84(constB85, 1))),
% 15.06/10.27 inference(tautology,[status(thm)],[])).
% 15.06/10.27 tff(11463,plain,
% 15.06/10.27 (v84(constB85, 1) | (~v84(constB85, 2)) | (~v84(constB85, 0))),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11462, 11461])).
% 15.06/10.27 tff(11464,plain,
% 15.06/10.27 ((~(v118(constB85) <=> (~(v84(constB85, 1) | (~v84(constB85, 2)) | (~v84(constB85, 0)))))) | (~v118(constB85)) | (~(v84(constB85, 1) | (~v84(constB85, 2)) | (~v84(constB85, 0))))),
% 15.06/10.27 inference(tautology,[status(thm)],[])).
% 15.06/10.27 tff(11465,plain,
% 15.06/10.27 (~v118(constB85)),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11464, 11463, 11443])).
% 15.06/10.27 tff(11466,plain,
% 15.06/10.27 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB85) <=> (~(v84(constB85, 1) | v84(constB85, 0) | (~v84(constB85, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB85) <=> (~(v84(constB85, 1) | v84(constB85, 0) | (~v84(constB85, 2))))))),
% 15.06/10.27 inference(rewrite,[status(thm)],[])).
% 15.06/10.27 tff(11467,plain,
% 15.06/10.27 ((v117(constB85) <=> (~(v84(constB85, 0) | v84(constB85, 1) | (~v84(constB85, 2))))) <=> (v117(constB85) <=> (~(v84(constB85, 1) | v84(constB85, 0) | (~v84(constB85, 2)))))),
% 15.06/10.27 inference(rewrite,[status(thm)],[])).
% 15.06/10.27 tff(11468,plain,
% 15.06/10.27 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB85) <=> (~(v84(constB85, 0) | v84(constB85, 1) | (~v84(constB85, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB85) <=> (~(v84(constB85, 1) | v84(constB85, 0) | (~v84(constB85, 2))))))),
% 15.06/10.27 inference(monotonicity,[status(thm)],[11467])).
% 15.06/10.27 tff(11469,plain,
% 15.06/10.27 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB85) <=> (~(v84(constB85, 0) | v84(constB85, 1) | (~v84(constB85, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB85) <=> (~(v84(constB85, 1) | v84(constB85, 0) | (~v84(constB85, 2))))))),
% 15.06/10.27 inference(transitivity,[status(thm)],[11468, 11466])).
% 15.06/10.27 tff(11470,plain,
% 15.06/10.27 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB85) <=> (~(v84(constB85, 0) | v84(constB85, 1) | (~v84(constB85, 2)))))),
% 15.06/10.27 inference(quant_inst,[status(thm)],[])).
% 15.06/10.27 tff(11471,plain,
% 15.06/10.27 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB85) <=> (~(v84(constB85, 1) | v84(constB85, 0) | (~v84(constB85, 2)))))),
% 15.06/10.27 inference(modus_ponens,[status(thm)],[11470, 11469])).
% 15.06/10.27 tff(11472,plain,
% 15.06/10.27 (v117(constB85) <=> (~(v84(constB85, 1) | v84(constB85, 0) | (~v84(constB85, 2))))),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11471, 1199])).
% 15.06/10.27 tff(11473,plain,
% 15.06/10.27 ((v84(constB85, 1) | v84(constB85, 0) | (~v84(constB85, 2))) | (~v84(constB85, 1))),
% 15.06/10.27 inference(tautology,[status(thm)],[])).
% 15.06/10.27 tff(11474,plain,
% 15.06/10.27 (v84(constB85, 1) | v84(constB85, 0) | (~v84(constB85, 2))),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11473, 11461])).
% 15.06/10.27 tff(11475,plain,
% 15.06/10.27 ((~(v117(constB85) <=> (~(v84(constB85, 1) | v84(constB85, 0) | (~v84(constB85, 2)))))) | (~v117(constB85)) | (~(v84(constB85, 1) | v84(constB85, 0) | (~v84(constB85, 2))))),
% 15.06/10.27 inference(tautology,[status(thm)],[])).
% 15.06/10.27 tff(11476,plain,
% 15.06/10.27 (~v117(constB85)),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11475, 11474, 11472])).
% 15.06/10.27 tff(11477,plain,
% 15.06/10.27 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB85) <=> (~(v84(constB85, 2) | (~v84(constB85, 1)) | (~v84(constB85, 0)))))),
% 15.06/10.27 inference(quant_inst,[status(thm)],[])).
% 15.06/10.27 tff(11478,plain,
% 15.06/10.27 (v116(constB85) <=> (~(v84(constB85, 2) | (~v84(constB85, 1)) | (~v84(constB85, 0))))),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11477, 911])).
% 15.06/10.27 tff(11479,plain,
% 15.06/10.27 ((v84(constB85, 2) | (~v84(constB85, 1)) | (~v84(constB85, 0))) | (~v84(constB85, 2))),
% 15.06/10.27 inference(tautology,[status(thm)],[])).
% 15.06/10.27 tff(11480,plain,
% 15.06/10.27 (v84(constB85, 2) | (~v84(constB85, 1)) | (~v84(constB85, 0))),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11479, 11432])).
% 15.06/10.27 tff(11481,plain,
% 15.06/10.27 ((~(v116(constB85) <=> (~(v84(constB85, 2) | (~v84(constB85, 1)) | (~v84(constB85, 0)))))) | (~v116(constB85)) | (~(v84(constB85, 2) | (~v84(constB85, 1)) | (~v84(constB85, 0))))),
% 15.06/10.27 inference(tautology,[status(thm)],[])).
% 15.06/10.27 tff(11482,plain,
% 15.06/10.27 (~v116(constB85)),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11481, 11480, 11478])).
% 15.06/10.27 tff(11483,plain,
% 15.06/10.27 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB85) <=> (~(v84(constB85, 2) | v84(constB85, 0) | (~v84(constB85, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB85) <=> (~(v84(constB85, 2) | v84(constB85, 0) | (~v84(constB85, 1))))))),
% 15.06/10.27 inference(rewrite,[status(thm)],[])).
% 15.06/10.27 tff(11484,plain,
% 15.06/10.27 ((v115(constB85) <=> (~(v84(constB85, 0) | v84(constB85, 2) | (~v84(constB85, 1))))) <=> (v115(constB85) <=> (~(v84(constB85, 2) | v84(constB85, 0) | (~v84(constB85, 1)))))),
% 15.06/10.27 inference(rewrite,[status(thm)],[])).
% 15.06/10.27 tff(11485,plain,
% 15.06/10.27 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB85) <=> (~(v84(constB85, 0) | v84(constB85, 2) | (~v84(constB85, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB85) <=> (~(v84(constB85, 2) | v84(constB85, 0) | (~v84(constB85, 1))))))),
% 15.06/10.27 inference(monotonicity,[status(thm)],[11484])).
% 15.06/10.27 tff(11486,plain,
% 15.06/10.27 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB85) <=> (~(v84(constB85, 0) | v84(constB85, 2) | (~v84(constB85, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB85) <=> (~(v84(constB85, 2) | v84(constB85, 0) | (~v84(constB85, 1))))))),
% 15.06/10.27 inference(transitivity,[status(thm)],[11485, 11483])).
% 15.06/10.27 tff(11487,plain,
% 15.06/10.27 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB85) <=> (~(v84(constB85, 0) | v84(constB85, 2) | (~v84(constB85, 1)))))),
% 15.06/10.27 inference(quant_inst,[status(thm)],[])).
% 15.06/10.27 tff(11488,plain,
% 15.06/10.27 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB85) <=> (~(v84(constB85, 2) | v84(constB85, 0) | (~v84(constB85, 1)))))),
% 15.06/10.27 inference(modus_ponens,[status(thm)],[11487, 11486])).
% 15.06/10.27 tff(11489,plain,
% 15.06/10.27 (v115(constB85) <=> (~(v84(constB85, 2) | v84(constB85, 0) | (~v84(constB85, 1))))),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11488, 985])).
% 15.06/10.27 tff(11490,plain,
% 15.06/10.27 ((v84(constB85, 2) | v84(constB85, 0) | (~v84(constB85, 1))) | (~v84(constB85, 2))),
% 15.06/10.27 inference(tautology,[status(thm)],[])).
% 15.06/10.27 tff(11491,plain,
% 15.06/10.27 (v84(constB85, 2) | v84(constB85, 0) | (~v84(constB85, 1))),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11490, 11432])).
% 15.06/10.27 tff(11492,plain,
% 15.06/10.27 ((~(v115(constB85) <=> (~(v84(constB85, 2) | v84(constB85, 0) | (~v84(constB85, 1)))))) | (~v115(constB85)) | (~(v84(constB85, 2) | v84(constB85, 0) | (~v84(constB85, 1))))),
% 15.06/10.27 inference(tautology,[status(thm)],[])).
% 15.06/10.27 tff(11493,plain,
% 15.06/10.27 (~v115(constB85)),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11492, 11491, 11489])).
% 15.06/10.27 tff(11494,plain,
% 15.06/10.27 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB85) <=> (~(v84(constB85, 1) | v84(constB85, 2) | (~v84(constB85, 0)))))),
% 15.06/10.27 inference(quant_inst,[status(thm)],[])).
% 15.06/10.27 tff(11495,plain,
% 15.06/10.27 (v114(constB85) <=> (~(v84(constB85, 1) | v84(constB85, 2) | (~v84(constB85, 0))))),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11494, 1064])).
% 15.06/10.27 tff(11496,plain,
% 15.06/10.27 ((v84(constB85, 1) | v84(constB85, 2) | (~v84(constB85, 0))) | (~v84(constB85, 2))),
% 15.06/10.27 inference(tautology,[status(thm)],[])).
% 15.06/10.27 tff(11497,plain,
% 15.06/10.27 (v84(constB85, 1) | v84(constB85, 2) | (~v84(constB85, 0))),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11496, 11432])).
% 15.06/10.27 tff(11498,plain,
% 15.06/10.27 ((~(v114(constB85) <=> (~(v84(constB85, 1) | v84(constB85, 2) | (~v84(constB85, 0)))))) | (~v114(constB85)) | (~(v84(constB85, 1) | v84(constB85, 2) | (~v84(constB85, 0))))),
% 15.06/10.27 inference(tautology,[status(thm)],[])).
% 15.06/10.27 tff(11499,plain,
% 15.06/10.27 (~v114(constB85)),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11498, 11497, 11495])).
% 15.06/10.27 tff(11500,plain,
% 15.06/10.27 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB85) | v114(constB85) | v115(constB85) | v116(constB85) | v117(constB85) | v118(constB85) | (~(v124(constB85, 2) | v124(constB85, 1) | (~v124(constB85, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB85) | v114(constB85) | v115(constB85) | v116(constB85) | v117(constB85) | v118(constB85) | (~(v124(constB85, 2) | v124(constB85, 1) | (~v124(constB85, 0)))))),
% 15.06/10.27 inference(rewrite,[status(thm)],[])).
% 15.06/10.27 tff(11501,plain,
% 15.06/10.27 ((v118(constB85) | v117(constB85) | v116(constB85) | v115(constB85) | v114(constB85) | v113(constB85) | (~(v124(constB85, 2) | v124(constB85, 1) | (~v124(constB85, 0))))) <=> (v113(constB85) | v114(constB85) | v115(constB85) | v116(constB85) | v117(constB85) | v118(constB85) | (~(v124(constB85, 2) | v124(constB85, 1) | (~v124(constB85, 0)))))),
% 15.06/10.27 inference(rewrite,[status(thm)],[])).
% 15.06/10.27 tff(11502,plain,
% 15.06/10.27 ((~(v124(constB85, 1) | v124(constB85, 2) | (~v124(constB85, 0)))) <=> (~(v124(constB85, 2) | v124(constB85, 1) | (~v124(constB85, 0))))),
% 15.06/10.27 inference(rewrite,[status(thm)],[])).
% 15.06/10.27 tff(11503,plain,
% 15.06/10.27 ((v118(constB85) | v117(constB85) | v116(constB85) | v115(constB85) | v114(constB85) | v113(constB85) | (~(v124(constB85, 1) | v124(constB85, 2) | (~v124(constB85, 0))))) <=> (v118(constB85) | v117(constB85) | v116(constB85) | v115(constB85) | v114(constB85) | v113(constB85) | (~(v124(constB85, 2) | v124(constB85, 1) | (~v124(constB85, 0)))))),
% 15.06/10.27 inference(monotonicity,[status(thm)],[11502])).
% 15.06/10.27 tff(11504,plain,
% 15.06/10.27 ((v118(constB85) | v117(constB85) | v116(constB85) | v115(constB85) | v114(constB85) | v113(constB85) | (~(v124(constB85, 1) | v124(constB85, 2) | (~v124(constB85, 0))))) <=> (v113(constB85) | v114(constB85) | v115(constB85) | v116(constB85) | v117(constB85) | v118(constB85) | (~(v124(constB85, 2) | v124(constB85, 1) | (~v124(constB85, 0)))))),
% 15.06/10.27 inference(transitivity,[status(thm)],[11503, 11501])).
% 15.06/10.27 tff(11505,plain,
% 15.06/10.27 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB85) | v117(constB85) | v116(constB85) | v115(constB85) | v114(constB85) | v113(constB85) | (~(v124(constB85, 1) | v124(constB85, 2) | (~v124(constB85, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB85) | v114(constB85) | v115(constB85) | v116(constB85) | v117(constB85) | v118(constB85) | (~(v124(constB85, 2) | v124(constB85, 1) | (~v124(constB85, 0))))))),
% 15.06/10.27 inference(monotonicity,[status(thm)],[11504])).
% 15.06/10.27 tff(11506,plain,
% 15.06/10.27 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB85) | v117(constB85) | v116(constB85) | v115(constB85) | v114(constB85) | v113(constB85) | (~(v124(constB85, 1) | v124(constB85, 2) | (~v124(constB85, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB85) | v114(constB85) | v115(constB85) | v116(constB85) | v117(constB85) | v118(constB85) | (~(v124(constB85, 2) | v124(constB85, 1) | (~v124(constB85, 0)))))),
% 15.06/10.27 inference(transitivity,[status(thm)],[11505, 11500])).
% 15.06/10.27 tff(11507,plain,
% 15.06/10.27 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB85) | v117(constB85) | v116(constB85) | v115(constB85) | v114(constB85) | v113(constB85) | (~(v124(constB85, 1) | v124(constB85, 2) | (~v124(constB85, 0)))))),
% 15.06/10.27 inference(quant_inst,[status(thm)],[])).
% 15.06/10.27 tff(11508,plain,
% 15.06/10.27 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB85) | v114(constB85) | v115(constB85) | v116(constB85) | v117(constB85) | v118(constB85) | (~(v124(constB85, 2) | v124(constB85, 1) | (~v124(constB85, 0))))),
% 15.06/10.27 inference(modus_ponens,[status(thm)],[11507, 11506])).
% 15.06/10.27 tff(11509,plain,
% 15.06/10.27 (v113(constB85) | v114(constB85) | v115(constB85) | v116(constB85) | v117(constB85) | v118(constB85) | (~(v124(constB85, 2) | v124(constB85, 1) | (~v124(constB85, 0))))),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11508, 2777])).
% 15.06/10.27 tff(11510,plain,
% 15.06/10.27 (~(v124(constB85, 2) | v124(constB85, 1) | (~v124(constB85, 0)))),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11509, 11499, 11493, 11482, 11476, 11465, 11436])).
% 15.06/10.27 tff(11511,plain,
% 15.06/10.27 ((v124(constB85, 2) | v124(constB85, 1) | (~v124(constB85, 0))) | (~v124(constB85, 2))),
% 15.06/10.27 inference(tautology,[status(thm)],[])).
% 15.06/10.27 tff(11512,plain,
% 15.06/10.27 (~v124(constB85, 2)),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11511, 11510])).
% 15.06/10.27 tff(11513,plain,
% 15.06/10.27 (((~v121(constB85, 2)) <=> v124(constB85, 2)) | (~v121(constB85, 2)) | v124(constB85, 2)),
% 15.06/10.27 inference(tautology,[status(thm)],[])).
% 15.06/10.27 tff(11514,plain,
% 15.06/10.27 (~v121(constB85, 2)),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11513, 11512, 6819])).
% 15.06/10.27 tff(11515,plain,
% 15.06/10.27 (((~v123(constB86, 2)) <=> v121(constB85, 2)) | (~v123(constB86, 2)) | v121(constB85, 2)),
% 15.06/10.27 inference(tautology,[status(thm)],[])).
% 15.06/10.27 tff(11516,plain,
% 15.06/10.27 (~v123(constB86, 2)),
% 15.06/10.27 inference(unit_resolution,[status(thm)],[11515, 11514, 6805])).
% 15.06/10.27 tff(11517,plain,
% 15.06/10.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB85, constB86)) | (v94(constB86) <=> (~((~v95(constB86)) | (~v104(constB86))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB85, constB86)) | (v94(constB86) <=> (~((~v95(constB86)) | (~v104(constB86))))))),
% 15.06/10.27 inference(rewrite,[status(thm)],[])).
% 15.06/10.27 tff(11518,plain,
% 15.06/10.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB85, constB86)) | (v94(constB86) <=> (~((~v95(constB86)) | (~v104(constB86))))))),
% 15.06/10.27 inference(quant_inst,[status(thm)],[])).
% 15.06/10.27 tff(11519,plain,
% 15.06/10.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB85, constB86)) | (v94(constB86) <=> (~((~v95(constB86)) | (~v104(constB86)))))),
% 15.06/10.27 inference(modus_ponens,[status(thm)],[11518, 11517])).
% 15.06/10.27 tff(11520,plain,
% 15.06/10.27 (v94(constB86) <=> (~((~v95(constB86)) | (~v104(constB86))))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11519, 6799, 770])).
% 15.06/10.28 tff(11521,plain,
% 15.06/10.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86))))))),
% 15.06/10.28 inference(rewrite,[status(thm)],[])).
% 15.06/10.28 tff(11522,plain,
% 15.06/10.28 (((~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v96(constB86)) | (~v1(constB86)))))) <=> ((~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86))))))),
% 15.06/10.28 inference(rewrite,[status(thm)],[])).
% 15.06/10.28 tff(11523,plain,
% 15.06/10.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v96(constB86)) | (~v1(constB86))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86)))))))),
% 15.06/10.28 inference(monotonicity,[status(thm)],[11522])).
% 15.06/10.28 tff(11524,plain,
% 15.06/10.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v96(constB86)) | (~v1(constB86))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86))))))),
% 15.06/10.28 inference(transitivity,[status(thm)],[11523, 11521])).
% 15.06/10.28 tff(11525,plain,
% 15.06/10.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v96(constB86)) | (~v1(constB86))))))),
% 15.06/10.28 inference(quant_inst,[status(thm)],[])).
% 15.06/10.28 tff(11526,plain,
% 15.06/10.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86)))))),
% 15.06/10.28 inference(modus_ponens,[status(thm)],[11525, 11524])).
% 15.06/10.28 tff(11527,plain,
% 15.06/10.28 (v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86))))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11526, 6799, 790])).
% 15.06/10.28 tff(11528,plain,
% 15.06/10.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB85, constB86)) | ((~v96(constB86)) <=> v98(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB85, constB86)) | ((~v96(constB86)) <=> v98(constB86)))),
% 15.06/10.28 inference(rewrite,[status(thm)],[])).
% 15.06/10.28 tff(11529,plain,
% 15.06/10.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB85, constB86)) | ((~v96(constB86)) <=> v98(constB86)))),
% 15.06/10.28 inference(quant_inst,[status(thm)],[])).
% 15.06/10.28 tff(11530,plain,
% 15.06/10.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB85, constB86)) | ((~v96(constB86)) <=> v98(constB86))),
% 15.06/10.28 inference(modus_ponens,[status(thm)],[11529, 11528])).
% 15.06/10.28 tff(11531,plain,
% 15.06/10.28 ((~v96(constB86)) <=> v98(constB86)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11530, 6799, 2332])).
% 15.06/10.28 tff(11532,plain,
% 15.06/10.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB85, constB86)) | (v98(constB86) <=> v1(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB85, constB86)) | (v98(constB86) <=> v1(constB85)))),
% 15.06/10.28 inference(rewrite,[status(thm)],[])).
% 15.06/10.28 tff(11533,plain,
% 15.06/10.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB85, constB86)) | (v98(constB86) <=> v1(constB85)))),
% 15.06/10.28 inference(quant_inst,[status(thm)],[])).
% 15.06/10.28 tff(11534,plain,
% 15.06/10.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB85, constB86)) | (v98(constB86) <=> v1(constB85))),
% 15.06/10.28 inference(modus_ponens,[status(thm)],[11533, 11532])).
% 15.06/10.28 tff(11535,plain,
% 15.06/10.28 (v98(constB86) <=> v1(constB85)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11534, 6799, 2346])).
% 15.06/10.28 tff(11536,plain,
% 15.06/10.28 ((~(v98(constB86) <=> v1(constB85))) | (~v98(constB86)) | v1(constB85)),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11537,plain,
% 15.06/10.28 ((~(v98(constB86) <=> v1(constB85))) | (~v98(constB86))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11536, 6838])).
% 15.06/10.28 tff(11538,plain,
% 15.06/10.28 (~v98(constB86)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11537, 11535])).
% 15.06/10.28 tff(11539,plain,
% 15.06/10.28 ((~((~v96(constB86)) <=> v98(constB86))) | v96(constB86) | v98(constB86)),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11540,plain,
% 15.06/10.28 (v96(constB86)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11539, 11538, 11531])).
% 15.06/10.28 tff(11541,plain,
% 15.06/10.28 (v1(constB86) <=> v1(constB86)),
% 15.06/10.28 inference(rewrite,[status(thm)],[])).
% 15.06/10.28 tff(11542,axiom,(v1(constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_86')).
% 15.06/10.28 tff(11543,plain,
% 15.06/10.28 (v1(constB86)),
% 15.06/10.28 inference(modus_ponens,[status(thm)],[11542, 11541])).
% 15.06/10.28 tff(11544,plain,
% 15.06/10.28 ((~((~v1(constB86)) | (~v96(constB86)))) | (~v1(constB86)) | (~v96(constB86))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11545,plain,
% 15.06/10.28 ((~((~v1(constB86)) | (~v96(constB86)))) | (~v96(constB86))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11544, 11543])).
% 15.06/10.28 tff(11546,plain,
% 15.06/10.28 (~((~v1(constB86)) | (~v96(constB86)))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11545, 11540])).
% 15.06/10.28 tff(11547,plain,
% 15.06/10.28 ((~(v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86)))))) | v95(constB86) | ((~v1(constB86)) | (~v96(constB86)))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11548,plain,
% 15.06/10.28 (v95(constB86)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11547, 11546, 11527])).
% 15.06/10.28 tff(11549,plain,
% 15.06/10.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB85, constB86)) | (v104(constB86) <=> v102(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB85, constB86)) | (v104(constB86) <=> v102(constB85)))),
% 15.06/10.28 inference(rewrite,[status(thm)],[])).
% 15.06/10.28 tff(11550,plain,
% 15.06/10.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB85, constB86)) | (v104(constB86) <=> v102(constB85)))),
% 15.06/10.28 inference(quant_inst,[status(thm)],[])).
% 15.06/10.28 tff(11551,plain,
% 15.06/10.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB85, constB86)) | (v104(constB86) <=> v102(constB85))),
% 15.06/10.28 inference(modus_ponens,[status(thm)],[11550, 11549])).
% 15.06/10.28 tff(11552,plain,
% 15.06/10.28 (v104(constB86) <=> v102(constB85)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11551, 6799, 2373])).
% 15.06/10.28 tff(11553,plain,
% 15.06/10.28 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB85) <=> (v105(constB85) | v106(constB85)))),
% 15.06/10.28 inference(quant_inst,[status(thm)],[])).
% 15.06/10.28 tff(11554,plain,
% 15.06/10.28 (v102(constB85) <=> (v105(constB85) | v106(constB85))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11553, 2384])).
% 15.06/10.28 tff(11555,plain,
% 15.06/10.28 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB85) <=> (~((~v107(constB85)) | (~v120(constB85)))))),
% 15.06/10.28 inference(quant_inst,[status(thm)],[])).
% 15.06/10.28 tff(11556,plain,
% 15.06/10.28 (v106(constB85) <=> (~((~v107(constB85)) | (~v120(constB85))))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11555, 2396])).
% 15.06/10.28 tff(11557,plain,
% 15.06/10.28 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB85) <=> (v108(constB85) | v119(constB85)))),
% 15.06/10.28 inference(quant_inst,[status(thm)],[])).
% 15.06/10.28 tff(11558,plain,
% 15.06/10.28 (v107(constB85) <=> (v108(constB85) | v119(constB85))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11557, 2405])).
% 15.06/10.28 tff(11559,plain,
% 15.06/10.28 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB85) <=> (~(v84(constB85, 0) | (~v84(constB85, 1)) | (~v84(constB85, 2)))))),
% 15.06/10.28 inference(quant_inst,[status(thm)],[])).
% 15.06/10.28 tff(11560,plain,
% 15.06/10.28 (v119(constB85) <=> (~(v84(constB85, 0) | (~v84(constB85, 1)) | (~v84(constB85, 2))))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11559, 2849])).
% 15.06/10.28 tff(11561,plain,
% 15.06/10.28 ((((~v84(constB85, 1)) <=> v84(constB84, 1)) | ((~v84(constB85, 2)) <=> v84(constB84, 2)) | ((~v84(constB85, 0)) <=> v84(constB84, 0))) | (~((~v84(constB85, 0)) <=> v84(constB84, 0)))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11562,plain,
% 15.06/10.28 (~((~v84(constB85, 0)) <=> v84(constB84, 0))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11561, 6855])).
% 15.06/10.28 tff(11563,plain,
% 15.06/10.28 ((((~v123(constB84, 2)) <=> v121(constB83, 2)) | ((~v123(constB84, 1)) <=> v121(constB83, 1)) | ((~v123(constB84, 0)) <=> v121(constB83, 0))) | (~((~v123(constB84, 0)) <=> v121(constB83, 0)))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11564,plain,
% 15.06/10.28 (~((~v123(constB84, 0)) <=> v121(constB83, 0))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11563, 6864])).
% 15.06/10.28 tff(11565,plain,
% 15.06/10.28 ((((~v121(constB83, 2)) <=> v124(constB83, 2)) | ((~v121(constB83, 0)) <=> v124(constB83, 0)) | ((~v121(constB83, 1)) <=> v124(constB83, 1))) | (~((~v121(constB83, 0)) <=> v124(constB83, 0)))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11566,plain,
% 15.06/10.28 (~((~v121(constB83, 0)) <=> v124(constB83, 0))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11565, 6878])).
% 15.06/10.28 tff(11567,plain,
% 15.06/10.28 ((v124(constB83, 0) | (~v124(constB83, 2)) | (~v124(constB83, 1))) | (~v124(constB83, 0))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11568,plain,
% 15.06/10.28 (~v124(constB83, 0)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11567, 11337])).
% 15.06/10.28 tff(11569,plain,
% 15.06/10.28 (((~v121(constB83, 0)) <=> v124(constB83, 0)) | (~v121(constB83, 0)) | v124(constB83, 0)),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11570,plain,
% 15.06/10.28 (~v121(constB83, 0)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11569, 11568, 11566])).
% 15.06/10.28 tff(11571,plain,
% 15.06/10.28 (((~v123(constB84, 0)) <=> v121(constB83, 0)) | (~v123(constB84, 0)) | v121(constB83, 0)),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11572,plain,
% 15.06/10.28 (~v123(constB84, 0)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11571, 11570, 11564])).
% 15.06/10.28 tff(11573,plain,
% 15.06/10.28 ((((~v84(constB84, 2)) <=> v123(constB84, 2)) | ((~v84(constB84, 1)) <=> v123(constB84, 1)) | ((~v84(constB84, 0)) <=> v123(constB84, 0))) | (~((~v84(constB84, 0)) <=> v123(constB84, 0)))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11574,plain,
% 15.06/10.28 (~((~v84(constB84, 0)) <=> v123(constB84, 0))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11573, 11426])).
% 15.06/10.28 tff(11575,plain,
% 15.06/10.28 (((~v84(constB84, 0)) <=> v123(constB84, 0)) | (~v84(constB84, 0)) | v123(constB84, 0)),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11576,plain,
% 15.06/10.28 (~v84(constB84, 0)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11575, 11574, 11572])).
% 15.06/10.28 tff(11577,plain,
% 15.06/10.28 (((~v84(constB85, 0)) <=> v84(constB84, 0)) | (~v84(constB85, 0)) | v84(constB84, 0)),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11578,plain,
% 15.06/10.28 (~v84(constB85, 0)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11577, 11576, 11562])).
% 15.06/10.28 tff(11579,plain,
% 15.06/10.28 ((~(v84(constB85, 0) | (~v84(constB85, 1)) | (~v84(constB85, 2)))) | v84(constB85, 0) | (~v84(constB85, 1)) | (~v84(constB85, 2))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11580,plain,
% 15.06/10.28 (~(v84(constB85, 0) | (~v84(constB85, 1)) | (~v84(constB85, 2)))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11579, 11461, 11578, 11432])).
% 15.06/10.28 tff(11581,plain,
% 15.06/10.28 ((~(v119(constB85) <=> (~(v84(constB85, 0) | (~v84(constB85, 1)) | (~v84(constB85, 2)))))) | v119(constB85) | (v84(constB85, 0) | (~v84(constB85, 1)) | (~v84(constB85, 2)))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11582,plain,
% 15.06/10.28 (v119(constB85)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11581, 11580, 11560])).
% 15.06/10.28 tff(11583,plain,
% 15.06/10.28 ((v108(constB85) | v119(constB85)) | (~v119(constB85))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11584,plain,
% 15.06/10.28 (v108(constB85) | v119(constB85)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11583, 11582])).
% 15.06/10.28 tff(11585,plain,
% 15.06/10.28 ((~(v107(constB85) <=> (v108(constB85) | v119(constB85)))) | v107(constB85) | (~(v108(constB85) | v119(constB85)))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11586,plain,
% 15.06/10.28 (v107(constB85)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11585, 11584, 11558])).
% 15.06/10.28 tff(11587,plain,
% 15.06/10.28 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB85)) <=> v105(constB85))),
% 15.06/10.28 inference(quant_inst,[status(thm)],[])).
% 15.06/10.28 tff(11588,plain,
% 15.06/10.28 ((~v120(constB85)) <=> v105(constB85)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11587, 2484])).
% 15.06/10.28 tff(11589,plain,
% 15.06/10.28 ((~((~v120(constB85)) <=> v105(constB85))) | v120(constB85) | v105(constB85)),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11590,plain,
% 15.06/10.28 ((~((~v120(constB85)) <=> v105(constB85))) | v120(constB85)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11589, 6812])).
% 15.06/10.28 tff(11591,plain,
% 15.06/10.28 (v120(constB85)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11590, 11588])).
% 15.06/10.28 tff(11592,plain,
% 15.06/10.28 ((~((~v107(constB85)) | (~v120(constB85)))) | (~v107(constB85)) | (~v120(constB85))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11593,plain,
% 15.06/10.28 ((~((~v107(constB85)) | (~v120(constB85)))) | (~v107(constB85))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11592, 11591])).
% 15.06/10.28 tff(11594,plain,
% 15.06/10.28 (~((~v107(constB85)) | (~v120(constB85)))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11593, 11586])).
% 15.06/10.28 tff(11595,plain,
% 15.06/10.28 ((~(v106(constB85) <=> (~((~v107(constB85)) | (~v120(constB85)))))) | v106(constB85) | ((~v107(constB85)) | (~v120(constB85)))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11596,plain,
% 15.06/10.28 (v106(constB85)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11595, 11594, 11556])).
% 15.06/10.28 tff(11597,plain,
% 15.06/10.28 ((v105(constB85) | v106(constB85)) | (~v106(constB85))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11598,plain,
% 15.06/10.28 (v105(constB85) | v106(constB85)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11597, 11596])).
% 15.06/10.28 tff(11599,plain,
% 15.06/10.28 ((~(v102(constB85) <=> (v105(constB85) | v106(constB85)))) | v102(constB85) | (~(v105(constB85) | v106(constB85)))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11600,plain,
% 15.06/10.28 (v102(constB85)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11599, 11598, 11554])).
% 15.06/10.28 tff(11601,plain,
% 15.06/10.28 ((~(v104(constB86) <=> v102(constB85))) | v104(constB86) | (~v102(constB85))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11602,plain,
% 15.06/10.28 (v104(constB86)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11601, 11600, 11552])).
% 15.06/10.28 tff(11603,plain,
% 15.06/10.28 ((~((~v95(constB86)) | (~v104(constB86)))) | (~v95(constB86)) | (~v104(constB86))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11604,plain,
% 15.06/10.28 (~((~v95(constB86)) | (~v104(constB86)))),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11603, 11602, 11548])).
% 15.06/10.28 tff(11605,plain,
% 15.06/10.28 ((~(v94(constB86) <=> (~((~v95(constB86)) | (~v104(constB86)))))) | v94(constB86) | ((~v95(constB86)) | (~v104(constB86)))),
% 15.06/10.28 inference(tautology,[status(thm)],[])).
% 15.06/10.28 tff(11606,plain,
% 15.06/10.28 (v94(constB86)),
% 15.06/10.28 inference(unit_resolution,[status(thm)],[11605, 11604, 11520])).
% 15.06/10.28 tff(11607,plain,
% 15.06/10.28 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB86)) | (~(((~v84(constB86, 0)) <=> v123(constB86, 0)) | ((~v84(constB86, 2)) <=> v123(constB86, 2)) | ((~v84(constB86, 1)) <=> v123(constB86, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB86)) | (~(((~v84(constB86, 0)) <=> v123(constB86, 0)) | ((~v84(constB86, 2)) <=> v123(constB86, 2)) | ((~v84(constB86, 1)) <=> v123(constB86, 1)))))),
% 15.06/10.28 inference(rewrite,[status(thm)],[])).
% 15.06/10.28 tff(11608,plain,
% 15.06/10.28 (((~v94(constB86)) | (~(((~v84(constB86, 2)) <=> v123(constB86, 2)) | ((~v84(constB86, 1)) <=> v123(constB86, 1)) | ((~v84(constB86, 0)) <=> v123(constB86, 0))))) <=> ((~v94(constB86)) | (~(((~v84(constB86, 0)) <=> v123(constB86, 0)) | ((~v84(constB86, 2)) <=> v123(constB86, 2)) | ((~v84(constB86, 1)) <=> v123(constB86, 1)))))),
% 15.06/10.28 inference(rewrite,[status(thm)],[])).
% 15.06/10.28 tff(11609,plain,
% 15.06/10.28 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB86)) | (~(((~v84(constB86, 2)) <=> v123(constB86, 2)) | ((~v84(constB86, 1)) <=> v123(constB86, 1)) | ((~v84(constB86, 0)) <=> v123(constB86, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB86)) | (~(((~v84(constB86, 0)) <=> v123(constB86, 0)) | ((~v84(constB86, 2)) <=> v123(constB86, 2)) | ((~v84(constB86, 1)) <=> v123(constB86, 1))))))),
% 15.06/10.28 inference(monotonicity,[status(thm)],[11608])).
% 15.06/10.28 tff(11610,plain,
% 15.06/10.28 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB86)) | (~(((~v84(constB86, 2)) <=> v123(constB86, 2)) | ((~v84(constB86, 1)) <=> v123(constB86, 1)) | ((~v84(constB86, 0)) <=> v123(constB86, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB86)) | (~(((~v84(constB86, 0)) <=> v123(constB86, 0)) | ((~v84(constB86, 2)) <=> v123(constB86, 2)) | ((~v84(constB86, 1)) <=> v123(constB86, 1)))))),
% 15.06/10.29 inference(transitivity,[status(thm)],[11609, 11607])).
% 15.06/10.29 tff(11611,plain,
% 15.06/10.29 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB86)) | (~(((~v84(constB86, 2)) <=> v123(constB86, 2)) | ((~v84(constB86, 1)) <=> v123(constB86, 1)) | ((~v84(constB86, 0)) <=> v123(constB86, 0)))))),
% 15.06/10.29 inference(quant_inst,[status(thm)],[])).
% 15.06/10.29 tff(11612,plain,
% 15.06/10.29 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB86)) | (~(((~v84(constB86, 0)) <=> v123(constB86, 0)) | ((~v84(constB86, 2)) <=> v123(constB86, 2)) | ((~v84(constB86, 1)) <=> v123(constB86, 1))))),
% 15.06/10.29 inference(modus_ponens,[status(thm)],[11611, 11610])).
% 15.06/10.29 tff(11613,plain,
% 15.06/10.29 ((~v94(constB86)) | (~(((~v84(constB86, 0)) <=> v123(constB86, 0)) | ((~v84(constB86, 2)) <=> v123(constB86, 2)) | ((~v84(constB86, 1)) <=> v123(constB86, 1))))),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11612, 2517])).
% 15.06/10.29 tff(11614,plain,
% 15.06/10.29 (~(((~v84(constB86, 0)) <=> v123(constB86, 0)) | ((~v84(constB86, 2)) <=> v123(constB86, 2)) | ((~v84(constB86, 1)) <=> v123(constB86, 1)))),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11613, 11606])).
% 15.06/10.29 tff(11615,plain,
% 15.06/10.29 ((((~v84(constB86, 0)) <=> v123(constB86, 0)) | ((~v84(constB86, 2)) <=> v123(constB86, 2)) | ((~v84(constB86, 1)) <=> v123(constB86, 1))) | (~((~v84(constB86, 2)) <=> v123(constB86, 2)))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11616,plain,
% 15.06/10.29 (~((~v84(constB86, 2)) <=> v123(constB86, 2))),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11615, 11614])).
% 15.06/10.29 tff(11617,plain,
% 15.06/10.29 (((~v84(constB86, 2)) <=> v123(constB86, 2)) | (~v84(constB86, 2)) | v123(constB86, 2)),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11618,plain,
% 15.06/10.29 (~v84(constB86, 2)),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11617, 11616, 11516])).
% 15.06/10.29 tff(11619,plain,
% 15.06/10.29 (((~v84(constB87, 2)) <=> v84(constB86, 2)) | (~v84(constB87, 2)) | v84(constB86, 2)),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11620,plain,
% 15.06/10.29 (~v84(constB87, 2)),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11619, 11618, 6796])).
% 15.06/10.29 tff(11621,plain,
% 15.06/10.29 ((((~v84(constB87, 1)) <=> v84(constB86, 1)) | ((~v84(constB87, 2)) <=> v84(constB86, 2)) | ((~v84(constB87, 0)) <=> v84(constB86, 0))) | (~((~v84(constB87, 0)) <=> v84(constB86, 0)))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11622,plain,
% 15.06/10.29 (~((~v84(constB87, 0)) <=> v84(constB86, 0))),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11621, 6794])).
% 15.06/10.29 tff(11623,plain,
% 15.06/10.29 ((((~v123(constB86, 2)) <=> v121(constB85, 2)) | ((~v123(constB86, 1)) <=> v121(constB85, 1)) | ((~v123(constB86, 0)) <=> v121(constB85, 0))) | (~((~v123(constB86, 0)) <=> v121(constB85, 0)))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11624,plain,
% 15.06/10.29 (~((~v123(constB86, 0)) <=> v121(constB85, 0))),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11623, 6803])).
% 15.06/10.29 tff(11625,plain,
% 15.06/10.29 ((((~v121(constB85, 2)) <=> v124(constB85, 2)) | ((~v121(constB85, 0)) <=> v124(constB85, 0)) | ((~v121(constB85, 1)) <=> v124(constB85, 1))) | (~((~v121(constB85, 0)) <=> v124(constB85, 0)))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11626,plain,
% 15.06/10.29 (~((~v121(constB85, 0)) <=> v124(constB85, 0))),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11625, 6817])).
% 15.06/10.29 tff(11627,plain,
% 15.06/10.29 ((v124(constB85, 2) | v124(constB85, 1) | (~v124(constB85, 0))) | v124(constB85, 0)),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11628,plain,
% 15.06/10.29 (v124(constB85, 0)),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11627, 11510])).
% 15.06/10.29 tff(11629,plain,
% 15.06/10.29 (((~v121(constB85, 0)) <=> v124(constB85, 0)) | v121(constB85, 0) | (~v124(constB85, 0))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11630,plain,
% 15.06/10.29 (v121(constB85, 0)),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11629, 11628, 11626])).
% 15.06/10.29 tff(11631,plain,
% 15.06/10.29 (((~v123(constB86, 0)) <=> v121(constB85, 0)) | v123(constB86, 0) | (~v121(constB85, 0))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11632,plain,
% 15.06/10.29 (v123(constB86, 0)),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11631, 11630, 11624])).
% 15.06/10.29 tff(11633,plain,
% 15.06/10.29 ((((~v84(constB86, 0)) <=> v123(constB86, 0)) | ((~v84(constB86, 2)) <=> v123(constB86, 2)) | ((~v84(constB86, 1)) <=> v123(constB86, 1))) | (~((~v84(constB86, 0)) <=> v123(constB86, 0)))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11634,plain,
% 15.06/10.29 (~((~v84(constB86, 0)) <=> v123(constB86, 0))),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11633, 11614])).
% 15.06/10.29 tff(11635,plain,
% 15.06/10.29 (((~v84(constB86, 0)) <=> v123(constB86, 0)) | v84(constB86, 0) | (~v123(constB86, 0))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11636,plain,
% 15.06/10.29 (v84(constB86, 0)),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11635, 11634, 11632])).
% 15.06/10.29 tff(11637,plain,
% 15.06/10.29 (((~v84(constB87, 0)) <=> v84(constB86, 0)) | v84(constB87, 0) | (~v84(constB86, 0))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11638,plain,
% 15.06/10.29 (v84(constB87, 0)),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11637, 11636, 11622])).
% 15.06/10.29 tff(11639,plain,
% 15.06/10.29 ((((~v84(constB87, 1)) <=> v84(constB86, 1)) | ((~v84(constB87, 2)) <=> v84(constB86, 2)) | ((~v84(constB87, 0)) <=> v84(constB86, 0))) | (~((~v84(constB87, 1)) <=> v84(constB86, 1)))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11640,plain,
% 15.06/10.29 (~((~v84(constB87, 1)) <=> v84(constB86, 1))),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11639, 6794])).
% 15.06/10.29 tff(11641,plain,
% 15.06/10.29 ((((~v123(constB86, 2)) <=> v121(constB85, 2)) | ((~v123(constB86, 1)) <=> v121(constB85, 1)) | ((~v123(constB86, 0)) <=> v121(constB85, 0))) | (~((~v123(constB86, 1)) <=> v121(constB85, 1)))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11642,plain,
% 15.06/10.29 (~((~v123(constB86, 1)) <=> v121(constB85, 1))),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11641, 6803])).
% 15.06/10.29 tff(11643,plain,
% 15.06/10.29 ((((~v121(constB85, 2)) <=> v124(constB85, 2)) | ((~v121(constB85, 0)) <=> v124(constB85, 0)) | ((~v121(constB85, 1)) <=> v124(constB85, 1))) | (~((~v121(constB85, 1)) <=> v124(constB85, 1)))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11644,plain,
% 15.06/10.29 (~((~v121(constB85, 1)) <=> v124(constB85, 1))),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11643, 6817])).
% 15.06/10.29 tff(11645,plain,
% 15.06/10.29 ((v124(constB85, 2) | v124(constB85, 1) | (~v124(constB85, 0))) | (~v124(constB85, 1))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11646,plain,
% 15.06/10.29 (~v124(constB85, 1)),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11645, 11510])).
% 15.06/10.29 tff(11647,plain,
% 15.06/10.29 (((~v121(constB85, 1)) <=> v124(constB85, 1)) | (~v121(constB85, 1)) | v124(constB85, 1)),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11648,plain,
% 15.06/10.29 (~v121(constB85, 1)),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11647, 11646, 11644])).
% 15.06/10.29 tff(11649,plain,
% 15.06/10.29 (((~v123(constB86, 1)) <=> v121(constB85, 1)) | (~v123(constB86, 1)) | v121(constB85, 1)),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11650,plain,
% 15.06/10.29 (~v123(constB86, 1)),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11649, 11648, 11642])).
% 15.06/10.29 tff(11651,plain,
% 15.06/10.29 ((((~v84(constB86, 0)) <=> v123(constB86, 0)) | ((~v84(constB86, 2)) <=> v123(constB86, 2)) | ((~v84(constB86, 1)) <=> v123(constB86, 1))) | (~((~v84(constB86, 1)) <=> v123(constB86, 1)))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11652,plain,
% 15.06/10.29 (~((~v84(constB86, 1)) <=> v123(constB86, 1))),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11651, 11614])).
% 15.06/10.29 tff(11653,plain,
% 15.06/10.29 (((~v84(constB86, 1)) <=> v123(constB86, 1)) | (~v84(constB86, 1)) | v123(constB86, 1)),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11654,plain,
% 15.06/10.29 (~v84(constB86, 1)),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11653, 11652, 11650])).
% 15.06/10.29 tff(11655,plain,
% 15.06/10.29 (((~v84(constB87, 1)) <=> v84(constB86, 1)) | (~v84(constB87, 1)) | v84(constB86, 1)),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11656,plain,
% 15.06/10.29 (~v84(constB87, 1)),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11655, 11654, 11640])).
% 15.06/10.29 tff(11657,plain,
% 15.06/10.29 ((~(v84(constB87, 1) | v84(constB87, 2) | (~v84(constB87, 0)))) | v84(constB87, 1) | v84(constB87, 2) | (~v84(constB87, 0))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11658,plain,
% 15.06/10.29 (~(v84(constB87, 1) | v84(constB87, 2) | (~v84(constB87, 0)))),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11657, 11656, 11638, 11620])).
% 15.06/10.29 tff(11659,plain,
% 15.06/10.29 ((~(v114(constB87) <=> (~(v84(constB87, 1) | v84(constB87, 2) | (~v84(constB87, 0)))))) | v114(constB87) | (v84(constB87, 1) | v84(constB87, 2) | (~v84(constB87, 0)))),
% 15.06/10.29 inference(tautology,[status(thm)],[])).
% 15.06/10.29 tff(11660,plain,
% 15.06/10.29 (v114(constB87)),
% 15.06/10.29 inference(unit_resolution,[status(thm)],[11659, 11658, 6760])).
% 15.06/10.29 tff(11661,plain,
% 15.06/10.29 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB87)) | (~(v124(constB87, 2) | v124(constB87, 0) | (~v124(constB87, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB87)) | (~(v124(constB87, 2) | v124(constB87, 0) | (~v124(constB87, 1)))))),
% 15.06/10.29 inference(rewrite,[status(thm)],[])).
% 15.06/10.29 tff(11662,plain,
% 15.06/10.29 (((~v114(constB87)) | (~(v124(constB87, 0) | v124(constB87, 2) | (~v124(constB87, 1))))) <=> ((~v114(constB87)) | (~(v124(constB87, 2) | v124(constB87, 0) | (~v124(constB87, 1)))))),
% 15.06/10.29 inference(rewrite,[status(thm)],[])).
% 15.06/10.29 tff(11663,plain,
% 15.06/10.29 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB87)) | (~(v124(constB87, 0) | v124(constB87, 2) | (~v124(constB87, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB87)) | (~(v124(constB87, 2) | v124(constB87, 0) | (~v124(constB87, 1))))))),
% 15.16/10.29 inference(monotonicity,[status(thm)],[11662])).
% 15.16/10.29 tff(11664,plain,
% 15.16/10.29 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB87)) | (~(v124(constB87, 0) | v124(constB87, 2) | (~v124(constB87, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB87)) | (~(v124(constB87, 2) | v124(constB87, 0) | (~v124(constB87, 1)))))),
% 15.16/10.29 inference(transitivity,[status(thm)],[11663, 11661])).
% 15.16/10.29 tff(11665,plain,
% 15.16/10.29 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB87)) | (~(v124(constB87, 0) | v124(constB87, 2) | (~v124(constB87, 1)))))),
% 15.16/10.29 inference(quant_inst,[status(thm)],[])).
% 15.16/10.29 tff(11666,plain,
% 15.16/10.29 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB87)) | (~(v124(constB87, 2) | v124(constB87, 0) | (~v124(constB87, 1))))),
% 15.16/10.29 inference(modus_ponens,[status(thm)],[11665, 11664])).
% 15.16/10.29 tff(11667,plain,
% 15.16/10.29 ((~v114(constB87)) | (~(v124(constB87, 2) | v124(constB87, 0) | (~v124(constB87, 1))))),
% 15.16/10.29 inference(unit_resolution,[status(thm)],[11666, 2964])).
% 15.16/10.29 tff(11668,plain,
% 15.16/10.29 (~(v124(constB87, 2) | v124(constB87, 0) | (~v124(constB87, 1)))),
% 15.16/10.29 inference(unit_resolution,[status(thm)],[11667, 11660])).
% 15.16/10.29 tff(11669,plain,
% 15.16/10.29 ((v124(constB87, 2) | v124(constB87, 0) | (~v124(constB87, 1))) | (~v124(constB87, 2))),
% 15.16/10.29 inference(tautology,[status(thm)],[])).
% 15.16/10.29 tff(11670,plain,
% 15.16/10.29 (~v124(constB87, 2)),
% 15.16/10.29 inference(unit_resolution,[status(thm)],[11669, 11668])).
% 15.16/10.29 tff(11671,plain,
% 15.16/10.29 (((~v121(constB87, 2)) <=> v124(constB87, 2)) | (~v121(constB87, 2)) | v124(constB87, 2)),
% 15.16/10.29 inference(tautology,[status(thm)],[])).
% 15.16/10.29 tff(11672,plain,
% 15.16/10.29 (~v121(constB87, 2)),
% 15.16/10.29 inference(unit_resolution,[status(thm)],[11671, 11670, 6758])).
% 15.16/10.29 tff(11673,plain,
% 15.16/10.29 (((~v123(constB88, 2)) <=> v121(constB87, 2)) | (~v123(constB88, 2)) | v121(constB87, 2)),
% 15.16/10.29 inference(tautology,[status(thm)],[])).
% 15.16/10.29 tff(11674,plain,
% 15.16/10.29 (~v123(constB88, 2)),
% 15.16/10.29 inference(unit_resolution,[status(thm)],[11673, 11672, 6744])).
% 15.16/10.29 tff(11675,plain,
% 15.16/10.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB87, constB88)) | (v94(constB88) <=> (~((~v95(constB88)) | (~v104(constB88))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB87, constB88)) | (v94(constB88) <=> (~((~v95(constB88)) | (~v104(constB88))))))),
% 15.16/10.29 inference(rewrite,[status(thm)],[])).
% 15.16/10.29 tff(11676,plain,
% 15.16/10.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB87, constB88)) | (v94(constB88) <=> (~((~v95(constB88)) | (~v104(constB88))))))),
% 15.16/10.29 inference(quant_inst,[status(thm)],[])).
% 15.16/10.29 tff(11677,plain,
% 15.16/10.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB87, constB88)) | (v94(constB88) <=> (~((~v95(constB88)) | (~v104(constB88)))))),
% 15.16/10.29 inference(modus_ponens,[status(thm)],[11676, 11675])).
% 15.16/10.29 tff(11678,plain,
% 15.16/10.29 (v94(constB88) <=> (~((~v95(constB88)) | (~v104(constB88))))),
% 15.16/10.29 inference(unit_resolution,[status(thm)],[11677, 6738, 770])).
% 15.16/10.29 tff(11679,plain,
% 15.16/10.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88))))))),
% 15.16/10.29 inference(rewrite,[status(thm)],[])).
% 15.16/10.29 tff(11680,plain,
% 15.16/10.29 (((~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v96(constB88)) | (~v1(constB88)))))) <=> ((~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88))))))),
% 15.16/10.29 inference(rewrite,[status(thm)],[])).
% 15.16/10.29 tff(11681,plain,
% 15.16/10.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v96(constB88)) | (~v1(constB88))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88)))))))),
% 15.16/10.29 inference(monotonicity,[status(thm)],[11680])).
% 15.16/10.29 tff(11682,plain,
% 15.16/10.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v96(constB88)) | (~v1(constB88))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88))))))),
% 15.16/10.29 inference(transitivity,[status(thm)],[11681, 11679])).
% 15.16/10.29 tff(11683,plain,
% 15.16/10.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v96(constB88)) | (~v1(constB88))))))),
% 15.16/10.29 inference(quant_inst,[status(thm)],[])).
% 15.16/10.29 tff(11684,plain,
% 15.16/10.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88)))))),
% 15.16/10.29 inference(modus_ponens,[status(thm)],[11683, 11682])).
% 15.16/10.29 tff(11685,plain,
% 15.16/10.29 (v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88))))),
% 15.16/10.29 inference(unit_resolution,[status(thm)],[11684, 6738, 790])).
% 15.16/10.29 tff(11686,plain,
% 15.16/10.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB87, constB88)) | ((~v96(constB88)) <=> v98(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB87, constB88)) | ((~v96(constB88)) <=> v98(constB88)))),
% 15.16/10.29 inference(rewrite,[status(thm)],[])).
% 15.16/10.29 tff(11687,plain,
% 15.16/10.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB87, constB88)) | ((~v96(constB88)) <=> v98(constB88)))),
% 15.16/10.29 inference(quant_inst,[status(thm)],[])).
% 15.16/10.29 tff(11688,plain,
% 15.16/10.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB87, constB88)) | ((~v96(constB88)) <=> v98(constB88))),
% 15.16/10.29 inference(modus_ponens,[status(thm)],[11687, 11686])).
% 15.16/10.29 tff(11689,plain,
% 15.16/10.29 ((~v96(constB88)) <=> v98(constB88)),
% 15.16/10.29 inference(unit_resolution,[status(thm)],[11688, 6738, 2332])).
% 15.16/10.29 tff(11690,plain,
% 15.16/10.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB87, constB88)) | (v98(constB88) <=> v1(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB87, constB88)) | (v98(constB88) <=> v1(constB87)))),
% 15.16/10.29 inference(rewrite,[status(thm)],[])).
% 15.16/10.29 tff(11691,plain,
% 15.16/10.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB87, constB88)) | (v98(constB88) <=> v1(constB87)))),
% 15.16/10.29 inference(quant_inst,[status(thm)],[])).
% 15.16/10.30 tff(11692,plain,
% 15.16/10.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB87, constB88)) | (v98(constB88) <=> v1(constB87))),
% 15.16/10.30 inference(modus_ponens,[status(thm)],[11691, 11690])).
% 15.16/10.30 tff(11693,plain,
% 15.16/10.30 (v98(constB88) <=> v1(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11692, 6738, 2346])).
% 15.16/10.30 tff(11694,plain,
% 15.16/10.30 ((~(v98(constB88) <=> v1(constB87))) | (~v98(constB88)) | v1(constB87)),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11695,plain,
% 15.16/10.30 ((~(v98(constB88) <=> v1(constB87))) | (~v98(constB88))),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11694, 6777])).
% 15.16/10.30 tff(11696,plain,
% 15.16/10.30 (~v98(constB88)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11695, 11693])).
% 15.16/10.30 tff(11697,plain,
% 15.16/10.30 ((~((~v96(constB88)) <=> v98(constB88))) | v96(constB88) | v98(constB88)),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11698,plain,
% 15.16/10.30 (v96(constB88)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11697, 11696, 11689])).
% 15.16/10.30 tff(11699,plain,
% 15.16/10.30 (v1(constB88) <=> v1(constB88)),
% 15.16/10.30 inference(rewrite,[status(thm)],[])).
% 15.16/10.30 tff(11700,axiom,(v1(constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_88')).
% 15.16/10.30 tff(11701,plain,
% 15.16/10.30 (v1(constB88)),
% 15.16/10.30 inference(modus_ponens,[status(thm)],[11700, 11699])).
% 15.16/10.30 tff(11702,plain,
% 15.16/10.30 ((~((~v1(constB88)) | (~v96(constB88)))) | (~v1(constB88)) | (~v96(constB88))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11703,plain,
% 15.16/10.30 ((~((~v1(constB88)) | (~v96(constB88)))) | (~v96(constB88))),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11702, 11701])).
% 15.16/10.30 tff(11704,plain,
% 15.16/10.30 (~((~v1(constB88)) | (~v96(constB88)))),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11703, 11698])).
% 15.16/10.30 tff(11705,plain,
% 15.16/10.30 ((~(v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88)))))) | v95(constB88) | ((~v1(constB88)) | (~v96(constB88)))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11706,plain,
% 15.16/10.30 (v95(constB88)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11705, 11704, 11685])).
% 15.16/10.30 tff(11707,plain,
% 15.16/10.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB87, constB88)) | (v104(constB88) <=> v102(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB87, constB88)) | (v104(constB88) <=> v102(constB87)))),
% 15.16/10.30 inference(rewrite,[status(thm)],[])).
% 15.16/10.30 tff(11708,plain,
% 15.16/10.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB87, constB88)) | (v104(constB88) <=> v102(constB87)))),
% 15.16/10.30 inference(quant_inst,[status(thm)],[])).
% 15.16/10.30 tff(11709,plain,
% 15.16/10.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB87, constB88)) | (v104(constB88) <=> v102(constB87))),
% 15.16/10.30 inference(modus_ponens,[status(thm)],[11708, 11707])).
% 15.16/10.30 tff(11710,plain,
% 15.16/10.30 (v104(constB88) <=> v102(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11709, 6738, 2373])).
% 15.16/10.30 tff(11711,plain,
% 15.16/10.30 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB87) <=> (v105(constB87) | v106(constB87)))),
% 15.16/10.30 inference(quant_inst,[status(thm)],[])).
% 15.16/10.30 tff(11712,plain,
% 15.16/10.30 (v102(constB87) <=> (v105(constB87) | v106(constB87))),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11711, 2384])).
% 15.16/10.30 tff(11713,plain,
% 15.16/10.30 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB87) <=> (~((~v107(constB87)) | (~v120(constB87)))))),
% 15.16/10.30 inference(quant_inst,[status(thm)],[])).
% 15.16/10.30 tff(11714,plain,
% 15.16/10.30 (v106(constB87) <=> (~((~v107(constB87)) | (~v120(constB87))))),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11713, 2396])).
% 15.16/10.30 tff(11715,plain,
% 15.16/10.30 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB87) <=> (v108(constB87) | v119(constB87)))),
% 15.16/10.30 inference(quant_inst,[status(thm)],[])).
% 15.16/10.30 tff(11716,plain,
% 15.16/10.30 (v107(constB87) <=> (v108(constB87) | v119(constB87))),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11715, 2405])).
% 15.16/10.30 tff(11717,plain,
% 15.16/10.30 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB87) <=> (v109(constB87) | v118(constB87)))),
% 15.16/10.30 inference(quant_inst,[status(thm)],[])).
% 15.16/10.30 tff(11718,plain,
% 15.16/10.30 (v108(constB87) <=> (v109(constB87) | v118(constB87))),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11717, 2414])).
% 15.16/10.30 tff(11719,plain,
% 15.16/10.30 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB87) <=> (v110(constB87) | v117(constB87)))),
% 15.16/10.30 inference(quant_inst,[status(thm)],[])).
% 15.16/10.30 tff(11720,plain,
% 15.16/10.30 (v109(constB87) <=> (v110(constB87) | v117(constB87))),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11719, 2423])).
% 15.16/10.30 tff(11721,plain,
% 15.16/10.30 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB87) <=> (v111(constB87) | v116(constB87)))),
% 15.16/10.30 inference(quant_inst,[status(thm)],[])).
% 15.16/10.30 tff(11722,plain,
% 15.16/10.30 (v110(constB87) <=> (v111(constB87) | v116(constB87))),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11721, 2432])).
% 15.16/10.30 tff(11723,plain,
% 15.16/10.30 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB87) <=> (v112(constB87) | v115(constB87)))),
% 15.16/10.30 inference(quant_inst,[status(thm)],[])).
% 15.16/10.30 tff(11724,plain,
% 15.16/10.30 (v111(constB87) <=> (v112(constB87) | v115(constB87))),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11723, 2441])).
% 15.16/10.30 tff(11725,plain,
% 15.16/10.30 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB87) <=> (v113(constB87) | v114(constB87)))),
% 15.16/10.30 inference(quant_inst,[status(thm)],[])).
% 15.16/10.30 tff(11726,plain,
% 15.16/10.30 (v112(constB87) <=> (v113(constB87) | v114(constB87))),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11725, 2450])).
% 15.16/10.30 tff(11727,plain,
% 15.16/10.30 ((v113(constB87) | v114(constB87)) | (~v114(constB87))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11728,plain,
% 15.16/10.30 (v113(constB87) | v114(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11727, 11660])).
% 15.16/10.30 tff(11729,plain,
% 15.16/10.30 ((~(v112(constB87) <=> (v113(constB87) | v114(constB87)))) | v112(constB87) | (~(v113(constB87) | v114(constB87)))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11730,plain,
% 15.16/10.30 (v112(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11729, 11728, 11726])).
% 15.16/10.30 tff(11731,plain,
% 15.16/10.30 ((v112(constB87) | v115(constB87)) | (~v112(constB87))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11732,plain,
% 15.16/10.30 (v112(constB87) | v115(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11731, 11730])).
% 15.16/10.30 tff(11733,plain,
% 15.16/10.30 ((~(v111(constB87) <=> (v112(constB87) | v115(constB87)))) | v111(constB87) | (~(v112(constB87) | v115(constB87)))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11734,plain,
% 15.16/10.30 (v111(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11733, 11732, 11724])).
% 15.16/10.30 tff(11735,plain,
% 15.16/10.30 ((v111(constB87) | v116(constB87)) | (~v111(constB87))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11736,plain,
% 15.16/10.30 (v111(constB87) | v116(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11735, 11734])).
% 15.16/10.30 tff(11737,plain,
% 15.16/10.30 ((~(v110(constB87) <=> (v111(constB87) | v116(constB87)))) | v110(constB87) | (~(v111(constB87) | v116(constB87)))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11738,plain,
% 15.16/10.30 (v110(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11737, 11736, 11722])).
% 15.16/10.30 tff(11739,plain,
% 15.16/10.30 ((v110(constB87) | v117(constB87)) | (~v110(constB87))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11740,plain,
% 15.16/10.30 (v110(constB87) | v117(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11739, 11738])).
% 15.16/10.30 tff(11741,plain,
% 15.16/10.30 ((~(v109(constB87) <=> (v110(constB87) | v117(constB87)))) | v109(constB87) | (~(v110(constB87) | v117(constB87)))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11742,plain,
% 15.16/10.30 (v109(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11741, 11740, 11720])).
% 15.16/10.30 tff(11743,plain,
% 15.16/10.30 ((v109(constB87) | v118(constB87)) | (~v109(constB87))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11744,plain,
% 15.16/10.30 (v109(constB87) | v118(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11743, 11742])).
% 15.16/10.30 tff(11745,plain,
% 15.16/10.30 ((~(v108(constB87) <=> (v109(constB87) | v118(constB87)))) | v108(constB87) | (~(v109(constB87) | v118(constB87)))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11746,plain,
% 15.16/10.30 (v108(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11745, 11744, 11718])).
% 15.16/10.30 tff(11747,plain,
% 15.16/10.30 ((v108(constB87) | v119(constB87)) | (~v108(constB87))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11748,plain,
% 15.16/10.30 (v108(constB87) | v119(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11747, 11746])).
% 15.16/10.30 tff(11749,plain,
% 15.16/10.30 ((~(v107(constB87) <=> (v108(constB87) | v119(constB87)))) | v107(constB87) | (~(v108(constB87) | v119(constB87)))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11750,plain,
% 15.16/10.30 (v107(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11749, 11748, 11716])).
% 15.16/10.30 tff(11751,plain,
% 15.16/10.30 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB87)) <=> v105(constB87))),
% 15.16/10.30 inference(quant_inst,[status(thm)],[])).
% 15.16/10.30 tff(11752,plain,
% 15.16/10.30 ((~v120(constB87)) <=> v105(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11751, 2484])).
% 15.16/10.30 tff(11753,plain,
% 15.16/10.30 ((~((~v120(constB87)) <=> v105(constB87))) | v120(constB87) | v105(constB87)),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11754,plain,
% 15.16/10.30 ((~((~v120(constB87)) <=> v105(constB87))) | v120(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11753, 6751])).
% 15.16/10.30 tff(11755,plain,
% 15.16/10.30 (v120(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11754, 11752])).
% 15.16/10.30 tff(11756,plain,
% 15.16/10.30 ((~((~v107(constB87)) | (~v120(constB87)))) | (~v107(constB87)) | (~v120(constB87))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11757,plain,
% 15.16/10.30 ((~((~v107(constB87)) | (~v120(constB87)))) | (~v107(constB87))),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11756, 11755])).
% 15.16/10.30 tff(11758,plain,
% 15.16/10.30 (~((~v107(constB87)) | (~v120(constB87)))),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11757, 11750])).
% 15.16/10.30 tff(11759,plain,
% 15.16/10.30 ((~(v106(constB87) <=> (~((~v107(constB87)) | (~v120(constB87)))))) | v106(constB87) | ((~v107(constB87)) | (~v120(constB87)))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11760,plain,
% 15.16/10.30 (v106(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11759, 11758, 11714])).
% 15.16/10.30 tff(11761,plain,
% 15.16/10.30 ((v105(constB87) | v106(constB87)) | (~v106(constB87))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11762,plain,
% 15.16/10.30 (v105(constB87) | v106(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11761, 11760])).
% 15.16/10.30 tff(11763,plain,
% 15.16/10.30 ((~(v102(constB87) <=> (v105(constB87) | v106(constB87)))) | v102(constB87) | (~(v105(constB87) | v106(constB87)))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11764,plain,
% 15.16/10.30 (v102(constB87)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11763, 11762, 11712])).
% 15.16/10.30 tff(11765,plain,
% 15.16/10.30 ((~(v104(constB88) <=> v102(constB87))) | v104(constB88) | (~v102(constB87))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11766,plain,
% 15.16/10.30 (v104(constB88)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11765, 11764, 11710])).
% 15.16/10.30 tff(11767,plain,
% 15.16/10.30 ((~((~v95(constB88)) | (~v104(constB88)))) | (~v95(constB88)) | (~v104(constB88))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11768,plain,
% 15.16/10.30 (~((~v95(constB88)) | (~v104(constB88)))),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11767, 11766, 11706])).
% 15.16/10.30 tff(11769,plain,
% 15.16/10.30 ((~(v94(constB88) <=> (~((~v95(constB88)) | (~v104(constB88)))))) | v94(constB88) | ((~v95(constB88)) | (~v104(constB88)))),
% 15.16/10.30 inference(tautology,[status(thm)],[])).
% 15.16/10.30 tff(11770,plain,
% 15.16/10.30 (v94(constB88)),
% 15.16/10.30 inference(unit_resolution,[status(thm)],[11769, 11768, 11678])).
% 15.16/10.30 tff(11771,plain,
% 15.16/10.30 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB88)) | (~(((~v84(constB88, 2)) <=> v123(constB88, 2)) | ((~v84(constB88, 1)) <=> v123(constB88, 1)) | ((~v84(constB88, 0)) <=> v123(constB88, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB88)) | (~(((~v84(constB88, 2)) <=> v123(constB88, 2)) | ((~v84(constB88, 1)) <=> v123(constB88, 1)) | ((~v84(constB88, 0)) <=> v123(constB88, 0)))))),
% 15.17/10.30 inference(rewrite,[status(thm)],[])).
% 15.17/10.30 tff(11772,plain,
% 15.17/10.30 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB88)) | (~(((~v84(constB88, 2)) <=> v123(constB88, 2)) | ((~v84(constB88, 1)) <=> v123(constB88, 1)) | ((~v84(constB88, 0)) <=> v123(constB88, 0)))))),
% 15.17/10.30 inference(quant_inst,[status(thm)],[])).
% 15.17/10.30 tff(11773,plain,
% 15.17/10.30 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB88)) | (~(((~v84(constB88, 2)) <=> v123(constB88, 2)) | ((~v84(constB88, 1)) <=> v123(constB88, 1)) | ((~v84(constB88, 0)) <=> v123(constB88, 0))))),
% 15.17/10.30 inference(modus_ponens,[status(thm)],[11772, 11771])).
% 15.17/10.30 tff(11774,plain,
% 15.17/10.30 ((~v94(constB88)) | (~(((~v84(constB88, 2)) <=> v123(constB88, 2)) | ((~v84(constB88, 1)) <=> v123(constB88, 1)) | ((~v84(constB88, 0)) <=> v123(constB88, 0))))),
% 15.17/10.30 inference(unit_resolution,[status(thm)],[11773, 2517])).
% 15.17/10.30 tff(11775,plain,
% 15.17/10.30 (~(((~v84(constB88, 2)) <=> v123(constB88, 2)) | ((~v84(constB88, 1)) <=> v123(constB88, 1)) | ((~v84(constB88, 0)) <=> v123(constB88, 0)))),
% 15.17/10.30 inference(unit_resolution,[status(thm)],[11774, 11770])).
% 15.17/10.30 tff(11776,plain,
% 15.17/10.30 ((((~v84(constB88, 2)) <=> v123(constB88, 2)) | ((~v84(constB88, 1)) <=> v123(constB88, 1)) | ((~v84(constB88, 0)) <=> v123(constB88, 0))) | (~((~v84(constB88, 2)) <=> v123(constB88, 2)))),
% 15.17/10.30 inference(tautology,[status(thm)],[])).
% 15.17/10.30 tff(11777,plain,
% 15.17/10.30 (~((~v84(constB88, 2)) <=> v123(constB88, 2))),
% 15.17/10.30 inference(unit_resolution,[status(thm)],[11776, 11775])).
% 15.17/10.30 tff(11778,plain,
% 15.17/10.30 (((~v84(constB88, 2)) <=> v123(constB88, 2)) | (~v84(constB88, 2)) | v123(constB88, 2)),
% 15.17/10.30 inference(tautology,[status(thm)],[])).
% 15.17/10.30 tff(11779,plain,
% 15.17/10.30 (~v84(constB88, 2)),
% 15.17/10.30 inference(unit_resolution,[status(thm)],[11778, 11777, 11674])).
% 15.17/10.30 tff(11780,plain,
% 15.17/10.30 (((~v84(constB89, 2)) <=> v84(constB88, 2)) | (~v84(constB89, 2)) | v84(constB88, 2)),
% 15.17/10.30 inference(tautology,[status(thm)],[])).
% 15.17/10.30 tff(11781,plain,
% 15.17/10.30 (~v84(constB89, 2)),
% 15.17/10.30 inference(unit_resolution,[status(thm)],[11780, 11779, 6735])).
% 15.17/10.30 tff(11782,plain,
% 15.17/10.30 ((((~v84(constB89, 1)) <=> v84(constB88, 1)) | ((~v84(constB89, 2)) <=> v84(constB88, 2)) | ((~v84(constB89, 0)) <=> v84(constB88, 0))) | (~((~v84(constB89, 0)) <=> v84(constB88, 0)))),
% 15.17/10.30 inference(tautology,[status(thm)],[])).
% 15.17/10.30 tff(11783,plain,
% 15.17/10.30 (~((~v84(constB89, 0)) <=> v84(constB88, 0))),
% 15.17/10.30 inference(unit_resolution,[status(thm)],[11782, 6733])).
% 15.17/10.30 tff(11784,plain,
% 15.17/10.30 ((((~v123(constB88, 2)) <=> v121(constB87, 2)) | ((~v123(constB88, 1)) <=> v121(constB87, 1)) | ((~v123(constB88, 0)) <=> v121(constB87, 0))) | (~((~v123(constB88, 0)) <=> v121(constB87, 0)))),
% 15.17/10.30 inference(tautology,[status(thm)],[])).
% 15.17/10.30 tff(11785,plain,
% 15.17/10.30 (~((~v123(constB88, 0)) <=> v121(constB87, 0))),
% 15.17/10.30 inference(unit_resolution,[status(thm)],[11784, 6742])).
% 15.17/10.30 tff(11786,plain,
% 15.17/10.30 ((((~v121(constB87, 2)) <=> v124(constB87, 2)) | ((~v121(constB87, 0)) <=> v124(constB87, 0)) | ((~v121(constB87, 1)) <=> v124(constB87, 1))) | (~((~v121(constB87, 0)) <=> v124(constB87, 0)))),
% 15.17/10.30 inference(tautology,[status(thm)],[])).
% 15.17/10.30 tff(11787,plain,
% 15.17/10.30 (~((~v121(constB87, 0)) <=> v124(constB87, 0))),
% 15.17/10.30 inference(unit_resolution,[status(thm)],[11786, 6756])).
% 15.17/10.30 tff(11788,plain,
% 15.17/10.30 ((v124(constB87, 2) | v124(constB87, 0) | (~v124(constB87, 1))) | (~v124(constB87, 0))),
% 15.17/10.30 inference(tautology,[status(thm)],[])).
% 15.17/10.30 tff(11789,plain,
% 15.17/10.30 (~v124(constB87, 0)),
% 15.17/10.30 inference(unit_resolution,[status(thm)],[11788, 11668])).
% 15.17/10.30 tff(11790,plain,
% 15.17/10.30 (((~v121(constB87, 0)) <=> v124(constB87, 0)) | (~v121(constB87, 0)) | v124(constB87, 0)),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11791,plain,
% 15.17/10.31 (~v121(constB87, 0)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11790, 11789, 11787])).
% 15.17/10.31 tff(11792,plain,
% 15.17/10.31 (((~v123(constB88, 0)) <=> v121(constB87, 0)) | (~v123(constB88, 0)) | v121(constB87, 0)),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11793,plain,
% 15.17/10.31 (~v123(constB88, 0)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11792, 11791, 11785])).
% 15.17/10.31 tff(11794,plain,
% 15.17/10.31 ((((~v84(constB88, 2)) <=> v123(constB88, 2)) | ((~v84(constB88, 1)) <=> v123(constB88, 1)) | ((~v84(constB88, 0)) <=> v123(constB88, 0))) | (~((~v84(constB88, 0)) <=> v123(constB88, 0)))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11795,plain,
% 15.17/10.31 (~((~v84(constB88, 0)) <=> v123(constB88, 0))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11794, 11775])).
% 15.17/10.31 tff(11796,plain,
% 15.17/10.31 (((~v84(constB88, 0)) <=> v123(constB88, 0)) | (~v84(constB88, 0)) | v123(constB88, 0)),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11797,plain,
% 15.17/10.31 (~v84(constB88, 0)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11796, 11795, 11793])).
% 15.17/10.31 tff(11798,plain,
% 15.17/10.31 (((~v84(constB89, 0)) <=> v84(constB88, 0)) | (~v84(constB89, 0)) | v84(constB88, 0)),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11799,plain,
% 15.17/10.31 (~v84(constB89, 0)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11798, 11797, 11783])).
% 15.17/10.31 tff(11800,plain,
% 15.17/10.31 ((((~v84(constB89, 1)) <=> v84(constB88, 1)) | ((~v84(constB89, 2)) <=> v84(constB88, 2)) | ((~v84(constB89, 0)) <=> v84(constB88, 0))) | (~((~v84(constB89, 1)) <=> v84(constB88, 1)))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11801,plain,
% 15.17/10.31 (~((~v84(constB89, 1)) <=> v84(constB88, 1))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11800, 6733])).
% 15.17/10.31 tff(11802,plain,
% 15.17/10.31 ((((~v123(constB88, 2)) <=> v121(constB87, 2)) | ((~v123(constB88, 1)) <=> v121(constB87, 1)) | ((~v123(constB88, 0)) <=> v121(constB87, 0))) | (~((~v123(constB88, 1)) <=> v121(constB87, 1)))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11803,plain,
% 15.17/10.31 (~((~v123(constB88, 1)) <=> v121(constB87, 1))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11802, 6742])).
% 15.17/10.31 tff(11804,plain,
% 15.17/10.31 ((((~v121(constB87, 2)) <=> v124(constB87, 2)) | ((~v121(constB87, 0)) <=> v124(constB87, 0)) | ((~v121(constB87, 1)) <=> v124(constB87, 1))) | (~((~v121(constB87, 1)) <=> v124(constB87, 1)))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11805,plain,
% 15.17/10.31 (~((~v121(constB87, 1)) <=> v124(constB87, 1))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11804, 6756])).
% 15.17/10.31 tff(11806,plain,
% 15.17/10.31 ((v124(constB87, 2) | v124(constB87, 0) | (~v124(constB87, 1))) | v124(constB87, 1)),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11807,plain,
% 15.17/10.31 (v124(constB87, 1)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11806, 11668])).
% 15.17/10.31 tff(11808,plain,
% 15.17/10.31 (((~v121(constB87, 1)) <=> v124(constB87, 1)) | v121(constB87, 1) | (~v124(constB87, 1))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11809,plain,
% 15.17/10.31 (v121(constB87, 1)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11808, 11807, 11805])).
% 15.17/10.31 tff(11810,plain,
% 15.17/10.31 (((~v123(constB88, 1)) <=> v121(constB87, 1)) | v123(constB88, 1) | (~v121(constB87, 1))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11811,plain,
% 15.17/10.31 (v123(constB88, 1)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11810, 11809, 11803])).
% 15.17/10.31 tff(11812,plain,
% 15.17/10.31 ((((~v84(constB88, 2)) <=> v123(constB88, 2)) | ((~v84(constB88, 1)) <=> v123(constB88, 1)) | ((~v84(constB88, 0)) <=> v123(constB88, 0))) | (~((~v84(constB88, 1)) <=> v123(constB88, 1)))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11813,plain,
% 15.17/10.31 (~((~v84(constB88, 1)) <=> v123(constB88, 1))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11812, 11775])).
% 15.17/10.31 tff(11814,plain,
% 15.17/10.31 (((~v84(constB88, 1)) <=> v123(constB88, 1)) | v84(constB88, 1) | (~v123(constB88, 1))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11815,plain,
% 15.17/10.31 (v84(constB88, 1)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11814, 11813, 11811])).
% 15.17/10.31 tff(11816,plain,
% 15.17/10.31 (((~v84(constB89, 1)) <=> v84(constB88, 1)) | v84(constB89, 1) | (~v84(constB88, 1))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11817,plain,
% 15.17/10.31 (v84(constB89, 1)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11816, 11815, 11801])).
% 15.17/10.31 tff(11818,plain,
% 15.17/10.31 ((~(v84(constB89, 2) | v84(constB89, 0) | (~v84(constB89, 1)))) | v84(constB89, 2) | v84(constB89, 0) | (~v84(constB89, 1))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11819,plain,
% 15.17/10.31 (~(v84(constB89, 2) | v84(constB89, 0) | (~v84(constB89, 1)))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11818, 11817, 11799, 11781])).
% 15.17/10.31 tff(11820,plain,
% 15.17/10.31 ((~(v115(constB89) <=> (~(v84(constB89, 2) | v84(constB89, 0) | (~v84(constB89, 1)))))) | v115(constB89) | (v84(constB89, 2) | v84(constB89, 0) | (~v84(constB89, 1)))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11821,plain,
% 15.17/10.31 (v115(constB89)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11820, 11819, 6699])).
% 15.17/10.31 tff(11822,plain,
% 15.17/10.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB89)) | (~(v124(constB89, 2) | (~v124(constB89, 0)) | (~v124(constB89, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB89)) | (~(v124(constB89, 2) | (~v124(constB89, 0)) | (~v124(constB89, 1)))))),
% 15.17/10.31 inference(rewrite,[status(thm)],[])).
% 15.17/10.31 tff(11823,plain,
% 15.17/10.31 (((~v115(constB89)) | (~(v124(constB89, 2) | (~v124(constB89, 1)) | (~v124(constB89, 0))))) <=> ((~v115(constB89)) | (~(v124(constB89, 2) | (~v124(constB89, 0)) | (~v124(constB89, 1)))))),
% 15.17/10.31 inference(rewrite,[status(thm)],[])).
% 15.17/10.31 tff(11824,plain,
% 15.17/10.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB89)) | (~(v124(constB89, 2) | (~v124(constB89, 1)) | (~v124(constB89, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB89)) | (~(v124(constB89, 2) | (~v124(constB89, 0)) | (~v124(constB89, 1))))))),
% 15.17/10.31 inference(monotonicity,[status(thm)],[11823])).
% 15.17/10.31 tff(11825,plain,
% 15.17/10.31 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB89)) | (~(v124(constB89, 2) | (~v124(constB89, 1)) | (~v124(constB89, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB89)) | (~(v124(constB89, 2) | (~v124(constB89, 0)) | (~v124(constB89, 1)))))),
% 15.17/10.31 inference(transitivity,[status(thm)],[11824, 11822])).
% 15.17/10.31 tff(11826,plain,
% 15.17/10.31 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB89)) | (~(v124(constB89, 2) | (~v124(constB89, 1)) | (~v124(constB89, 0)))))),
% 15.17/10.31 inference(quant_inst,[status(thm)],[])).
% 15.17/10.31 tff(11827,plain,
% 15.17/10.31 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB89)) | (~(v124(constB89, 2) | (~v124(constB89, 0)) | (~v124(constB89, 1))))),
% 15.17/10.31 inference(modus_ponens,[status(thm)],[11826, 11825])).
% 15.17/10.31 tff(11828,plain,
% 15.17/10.31 ((~v115(constB89)) | (~(v124(constB89, 2) | (~v124(constB89, 0)) | (~v124(constB89, 1))))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11827, 3138])).
% 15.17/10.31 tff(11829,plain,
% 15.17/10.31 (~(v124(constB89, 2) | (~v124(constB89, 0)) | (~v124(constB89, 1)))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11828, 11821])).
% 15.17/10.31 tff(11830,plain,
% 15.17/10.31 ((v124(constB89, 2) | (~v124(constB89, 0)) | (~v124(constB89, 1))) | (~v124(constB89, 2))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11831,plain,
% 15.17/10.31 (~v124(constB89, 2)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11830, 11829])).
% 15.17/10.31 tff(11832,plain,
% 15.17/10.31 (((~v121(constB89, 2)) <=> v124(constB89, 2)) | (~v121(constB89, 2)) | v124(constB89, 2)),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11833,plain,
% 15.17/10.31 (~v121(constB89, 2)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11832, 11831, 6692])).
% 15.17/10.31 tff(11834,plain,
% 15.17/10.31 (((~v123(constB90, 2)) <=> v121(constB89, 2)) | (~v123(constB90, 2)) | v121(constB89, 2)),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11835,plain,
% 15.17/10.31 (~v123(constB90, 2)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11834, 11833, 6678])).
% 15.17/10.31 tff(11836,plain,
% 15.17/10.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB89, constB90)) | (v94(constB90) <=> (~((~v95(constB90)) | (~v104(constB90))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB89, constB90)) | (v94(constB90) <=> (~((~v95(constB90)) | (~v104(constB90))))))),
% 15.17/10.31 inference(rewrite,[status(thm)],[])).
% 15.17/10.31 tff(11837,plain,
% 15.17/10.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB89, constB90)) | (v94(constB90) <=> (~((~v95(constB90)) | (~v104(constB90))))))),
% 15.17/10.31 inference(quant_inst,[status(thm)],[])).
% 15.17/10.31 tff(11838,plain,
% 15.17/10.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB89, constB90)) | (v94(constB90) <=> (~((~v95(constB90)) | (~v104(constB90)))))),
% 15.17/10.31 inference(modus_ponens,[status(thm)],[11837, 11836])).
% 15.17/10.31 tff(11839,plain,
% 15.17/10.31 (v94(constB90) <=> (~((~v95(constB90)) | (~v104(constB90))))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11838, 6672, 770])).
% 15.17/10.31 tff(11840,plain,
% 15.17/10.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90))))))),
% 15.17/10.31 inference(rewrite,[status(thm)],[])).
% 15.17/10.31 tff(11841,plain,
% 15.17/10.31 (((~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v96(constB90)) | (~v1(constB90)))))) <=> ((~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90))))))),
% 15.17/10.31 inference(rewrite,[status(thm)],[])).
% 15.17/10.31 tff(11842,plain,
% 15.17/10.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v96(constB90)) | (~v1(constB90))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90)))))))),
% 15.17/10.31 inference(monotonicity,[status(thm)],[11841])).
% 15.17/10.31 tff(11843,plain,
% 15.17/10.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v96(constB90)) | (~v1(constB90))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90))))))),
% 15.17/10.31 inference(transitivity,[status(thm)],[11842, 11840])).
% 15.17/10.31 tff(11844,plain,
% 15.17/10.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v96(constB90)) | (~v1(constB90))))))),
% 15.17/10.31 inference(quant_inst,[status(thm)],[])).
% 15.17/10.31 tff(11845,plain,
% 15.17/10.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90)))))),
% 15.17/10.31 inference(modus_ponens,[status(thm)],[11844, 11843])).
% 15.17/10.31 tff(11846,plain,
% 15.17/10.31 (v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90))))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11845, 6672, 790])).
% 15.17/10.31 tff(11847,plain,
% 15.17/10.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB89, constB90)) | ((~v96(constB90)) <=> v98(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB89, constB90)) | ((~v96(constB90)) <=> v98(constB90)))),
% 15.17/10.31 inference(rewrite,[status(thm)],[])).
% 15.17/10.31 tff(11848,plain,
% 15.17/10.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB89, constB90)) | ((~v96(constB90)) <=> v98(constB90)))),
% 15.17/10.31 inference(quant_inst,[status(thm)],[])).
% 15.17/10.31 tff(11849,plain,
% 15.17/10.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB89, constB90)) | ((~v96(constB90)) <=> v98(constB90))),
% 15.17/10.31 inference(modus_ponens,[status(thm)],[11848, 11847])).
% 15.17/10.31 tff(11850,plain,
% 15.17/10.31 ((~v96(constB90)) <=> v98(constB90)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11849, 6672, 2332])).
% 15.17/10.31 tff(11851,plain,
% 15.17/10.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB89, constB90)) | (v98(constB90) <=> v1(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB89, constB90)) | (v98(constB90) <=> v1(constB89)))),
% 15.17/10.31 inference(rewrite,[status(thm)],[])).
% 15.17/10.31 tff(11852,plain,
% 15.17/10.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB89, constB90)) | (v98(constB90) <=> v1(constB89)))),
% 15.17/10.31 inference(quant_inst,[status(thm)],[])).
% 15.17/10.31 tff(11853,plain,
% 15.17/10.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB89, constB90)) | (v98(constB90) <=> v1(constB89))),
% 15.17/10.31 inference(modus_ponens,[status(thm)],[11852, 11851])).
% 15.17/10.31 tff(11854,plain,
% 15.17/10.31 (v98(constB90) <=> v1(constB89)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11853, 6672, 2346])).
% 15.17/10.31 tff(11855,plain,
% 15.17/10.31 ((~(v98(constB90) <=> v1(constB89))) | (~v98(constB90)) | v1(constB89)),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11856,plain,
% 15.17/10.31 ((~(v98(constB90) <=> v1(constB89))) | (~v98(constB90))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11855, 6716])).
% 15.17/10.31 tff(11857,plain,
% 15.17/10.31 (~v98(constB90)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11856, 11854])).
% 15.17/10.31 tff(11858,plain,
% 15.17/10.31 ((~((~v96(constB90)) <=> v98(constB90))) | v96(constB90) | v98(constB90)),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11859,plain,
% 15.17/10.31 (v96(constB90)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11858, 11857, 11850])).
% 15.17/10.31 tff(11860,plain,
% 15.17/10.31 (v1(constB90) <=> v1(constB90)),
% 15.17/10.31 inference(rewrite,[status(thm)],[])).
% 15.17/10.31 tff(11861,axiom,(v1(constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_90')).
% 15.17/10.31 tff(11862,plain,
% 15.17/10.31 (v1(constB90)),
% 15.17/10.31 inference(modus_ponens,[status(thm)],[11861, 11860])).
% 15.17/10.31 tff(11863,plain,
% 15.17/10.31 ((~((~v1(constB90)) | (~v96(constB90)))) | (~v1(constB90)) | (~v96(constB90))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11864,plain,
% 15.17/10.31 ((~((~v1(constB90)) | (~v96(constB90)))) | (~v96(constB90))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11863, 11862])).
% 15.17/10.31 tff(11865,plain,
% 15.17/10.31 (~((~v1(constB90)) | (~v96(constB90)))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11864, 11859])).
% 15.17/10.31 tff(11866,plain,
% 15.17/10.31 ((~(v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90)))))) | v95(constB90) | ((~v1(constB90)) | (~v96(constB90)))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11867,plain,
% 15.17/10.31 (v95(constB90)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11866, 11865, 11846])).
% 15.17/10.31 tff(11868,plain,
% 15.17/10.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB89, constB90)) | (v104(constB90) <=> v102(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB89, constB90)) | (v104(constB90) <=> v102(constB89)))),
% 15.17/10.31 inference(rewrite,[status(thm)],[])).
% 15.17/10.31 tff(11869,plain,
% 15.17/10.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB89, constB90)) | (v104(constB90) <=> v102(constB89)))),
% 15.17/10.31 inference(quant_inst,[status(thm)],[])).
% 15.17/10.31 tff(11870,plain,
% 15.17/10.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB89, constB90)) | (v104(constB90) <=> v102(constB89))),
% 15.17/10.31 inference(modus_ponens,[status(thm)],[11869, 11868])).
% 15.17/10.31 tff(11871,plain,
% 15.17/10.31 (v104(constB90) <=> v102(constB89)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11870, 6672, 2373])).
% 15.17/10.31 tff(11872,plain,
% 15.17/10.31 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB89) <=> (v105(constB89) | v106(constB89)))),
% 15.17/10.31 inference(quant_inst,[status(thm)],[])).
% 15.17/10.31 tff(11873,plain,
% 15.17/10.31 (v102(constB89) <=> (v105(constB89) | v106(constB89))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11872, 2384])).
% 15.17/10.31 tff(11874,plain,
% 15.17/10.31 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB89) <=> (~((~v107(constB89)) | (~v120(constB89)))))),
% 15.17/10.31 inference(quant_inst,[status(thm)],[])).
% 15.17/10.31 tff(11875,plain,
% 15.17/10.31 (v106(constB89) <=> (~((~v107(constB89)) | (~v120(constB89))))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11874, 2396])).
% 15.17/10.31 tff(11876,plain,
% 15.17/10.31 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB89) <=> (v108(constB89) | v119(constB89)))),
% 15.17/10.31 inference(quant_inst,[status(thm)],[])).
% 15.17/10.31 tff(11877,plain,
% 15.17/10.31 (v107(constB89) <=> (v108(constB89) | v119(constB89))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11876, 2405])).
% 15.17/10.31 tff(11878,plain,
% 15.17/10.31 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB89) <=> (v109(constB89) | v118(constB89)))),
% 15.17/10.31 inference(quant_inst,[status(thm)],[])).
% 15.17/10.31 tff(11879,plain,
% 15.17/10.31 (v108(constB89) <=> (v109(constB89) | v118(constB89))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11878, 2414])).
% 15.17/10.31 tff(11880,plain,
% 15.17/10.31 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB89) <=> (v110(constB89) | v117(constB89)))),
% 15.17/10.31 inference(quant_inst,[status(thm)],[])).
% 15.17/10.31 tff(11881,plain,
% 15.17/10.31 (v109(constB89) <=> (v110(constB89) | v117(constB89))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11880, 2423])).
% 15.17/10.31 tff(11882,plain,
% 15.17/10.31 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB89) <=> (v111(constB89) | v116(constB89)))),
% 15.17/10.31 inference(quant_inst,[status(thm)],[])).
% 15.17/10.31 tff(11883,plain,
% 15.17/10.31 (v110(constB89) <=> (v111(constB89) | v116(constB89))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11882, 2432])).
% 15.17/10.31 tff(11884,plain,
% 15.17/10.31 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB89) <=> (v112(constB89) | v115(constB89)))),
% 15.17/10.31 inference(quant_inst,[status(thm)],[])).
% 15.17/10.31 tff(11885,plain,
% 15.17/10.31 (v111(constB89) <=> (v112(constB89) | v115(constB89))),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11884, 2441])).
% 15.17/10.31 tff(11886,plain,
% 15.17/10.31 ((v112(constB89) | v115(constB89)) | (~v115(constB89))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11887,plain,
% 15.17/10.31 (v112(constB89) | v115(constB89)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11886, 11821])).
% 15.17/10.31 tff(11888,plain,
% 15.17/10.31 ((~(v111(constB89) <=> (v112(constB89) | v115(constB89)))) | v111(constB89) | (~(v112(constB89) | v115(constB89)))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.31 tff(11889,plain,
% 15.17/10.31 (v111(constB89)),
% 15.17/10.31 inference(unit_resolution,[status(thm)],[11888, 11887, 11885])).
% 15.17/10.31 tff(11890,plain,
% 15.17/10.31 ((v111(constB89) | v116(constB89)) | (~v111(constB89))),
% 15.17/10.31 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11891,plain,
% 15.17/10.32 (v111(constB89) | v116(constB89)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11890, 11889])).
% 15.17/10.32 tff(11892,plain,
% 15.17/10.32 ((~(v110(constB89) <=> (v111(constB89) | v116(constB89)))) | v110(constB89) | (~(v111(constB89) | v116(constB89)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11893,plain,
% 15.17/10.32 (v110(constB89)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11892, 11891, 11883])).
% 15.17/10.32 tff(11894,plain,
% 15.17/10.32 ((v110(constB89) | v117(constB89)) | (~v110(constB89))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11895,plain,
% 15.17/10.32 (v110(constB89) | v117(constB89)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11894, 11893])).
% 15.17/10.32 tff(11896,plain,
% 15.17/10.32 ((~(v109(constB89) <=> (v110(constB89) | v117(constB89)))) | v109(constB89) | (~(v110(constB89) | v117(constB89)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11897,plain,
% 15.17/10.32 (v109(constB89)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11896, 11895, 11881])).
% 15.17/10.32 tff(11898,plain,
% 15.17/10.32 ((v109(constB89) | v118(constB89)) | (~v109(constB89))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11899,plain,
% 15.17/10.32 (v109(constB89) | v118(constB89)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11898, 11897])).
% 15.17/10.32 tff(11900,plain,
% 15.17/10.32 ((~(v108(constB89) <=> (v109(constB89) | v118(constB89)))) | v108(constB89) | (~(v109(constB89) | v118(constB89)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11901,plain,
% 15.17/10.32 (v108(constB89)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11900, 11899, 11879])).
% 15.17/10.32 tff(11902,plain,
% 15.17/10.32 ((v108(constB89) | v119(constB89)) | (~v108(constB89))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11903,plain,
% 15.17/10.32 (v108(constB89) | v119(constB89)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11902, 11901])).
% 15.17/10.32 tff(11904,plain,
% 15.17/10.32 ((~(v107(constB89) <=> (v108(constB89) | v119(constB89)))) | v107(constB89) | (~(v108(constB89) | v119(constB89)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11905,plain,
% 15.17/10.32 (v107(constB89)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11904, 11903, 11877])).
% 15.17/10.32 tff(11906,plain,
% 15.17/10.32 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB89)) <=> v105(constB89))),
% 15.17/10.32 inference(quant_inst,[status(thm)],[])).
% 15.17/10.32 tff(11907,plain,
% 15.17/10.32 ((~v120(constB89)) <=> v105(constB89)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11906, 2484])).
% 15.17/10.32 tff(11908,plain,
% 15.17/10.32 ((~((~v120(constB89)) <=> v105(constB89))) | v120(constB89) | v105(constB89)),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11909,plain,
% 15.17/10.32 ((~((~v120(constB89)) <=> v105(constB89))) | v120(constB89)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11908, 6685])).
% 15.17/10.32 tff(11910,plain,
% 15.17/10.32 (v120(constB89)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11909, 11907])).
% 15.17/10.32 tff(11911,plain,
% 15.17/10.32 ((~((~v107(constB89)) | (~v120(constB89)))) | (~v107(constB89)) | (~v120(constB89))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11912,plain,
% 15.17/10.32 ((~((~v107(constB89)) | (~v120(constB89)))) | (~v107(constB89))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11911, 11910])).
% 15.17/10.32 tff(11913,plain,
% 15.17/10.32 (~((~v107(constB89)) | (~v120(constB89)))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11912, 11905])).
% 15.17/10.32 tff(11914,plain,
% 15.17/10.32 ((~(v106(constB89) <=> (~((~v107(constB89)) | (~v120(constB89)))))) | v106(constB89) | ((~v107(constB89)) | (~v120(constB89)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11915,plain,
% 15.17/10.32 (v106(constB89)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11914, 11913, 11875])).
% 15.17/10.32 tff(11916,plain,
% 15.17/10.32 ((v105(constB89) | v106(constB89)) | (~v106(constB89))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11917,plain,
% 15.17/10.32 (v105(constB89) | v106(constB89)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11916, 11915])).
% 15.17/10.32 tff(11918,plain,
% 15.17/10.32 ((~(v102(constB89) <=> (v105(constB89) | v106(constB89)))) | v102(constB89) | (~(v105(constB89) | v106(constB89)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11919,plain,
% 15.17/10.32 (v102(constB89)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11918, 11917, 11873])).
% 15.17/10.32 tff(11920,plain,
% 15.17/10.32 ((~(v104(constB90) <=> v102(constB89))) | v104(constB90) | (~v102(constB89))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11921,plain,
% 15.17/10.32 (v104(constB90)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11920, 11919, 11871])).
% 15.17/10.32 tff(11922,plain,
% 15.17/10.32 ((~((~v95(constB90)) | (~v104(constB90)))) | (~v95(constB90)) | (~v104(constB90))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11923,plain,
% 15.17/10.32 (~((~v95(constB90)) | (~v104(constB90)))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11922, 11921, 11867])).
% 15.17/10.32 tff(11924,plain,
% 15.17/10.32 ((~(v94(constB90) <=> (~((~v95(constB90)) | (~v104(constB90)))))) | v94(constB90) | ((~v95(constB90)) | (~v104(constB90)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11925,plain,
% 15.17/10.32 (v94(constB90)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11924, 11923, 11839])).
% 15.17/10.32 tff(11926,plain,
% 15.17/10.32 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB90)) | (~(((~v84(constB90, 0)) <=> v123(constB90, 0)) | ((~v84(constB90, 2)) <=> v123(constB90, 2)) | ((~v84(constB90, 1)) <=> v123(constB90, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB90)) | (~(((~v84(constB90, 0)) <=> v123(constB90, 0)) | ((~v84(constB90, 2)) <=> v123(constB90, 2)) | ((~v84(constB90, 1)) <=> v123(constB90, 1)))))),
% 15.17/10.32 inference(rewrite,[status(thm)],[])).
% 15.17/10.32 tff(11927,plain,
% 15.17/10.32 (((~v94(constB90)) | (~(((~v84(constB90, 2)) <=> v123(constB90, 2)) | ((~v84(constB90, 1)) <=> v123(constB90, 1)) | ((~v84(constB90, 0)) <=> v123(constB90, 0))))) <=> ((~v94(constB90)) | (~(((~v84(constB90, 0)) <=> v123(constB90, 0)) | ((~v84(constB90, 2)) <=> v123(constB90, 2)) | ((~v84(constB90, 1)) <=> v123(constB90, 1)))))),
% 15.17/10.32 inference(rewrite,[status(thm)],[])).
% 15.17/10.32 tff(11928,plain,
% 15.17/10.32 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB90)) | (~(((~v84(constB90, 2)) <=> v123(constB90, 2)) | ((~v84(constB90, 1)) <=> v123(constB90, 1)) | ((~v84(constB90, 0)) <=> v123(constB90, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB90)) | (~(((~v84(constB90, 0)) <=> v123(constB90, 0)) | ((~v84(constB90, 2)) <=> v123(constB90, 2)) | ((~v84(constB90, 1)) <=> v123(constB90, 1))))))),
% 15.17/10.32 inference(monotonicity,[status(thm)],[11927])).
% 15.17/10.32 tff(11929,plain,
% 15.17/10.32 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB90)) | (~(((~v84(constB90, 2)) <=> v123(constB90, 2)) | ((~v84(constB90, 1)) <=> v123(constB90, 1)) | ((~v84(constB90, 0)) <=> v123(constB90, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB90)) | (~(((~v84(constB90, 0)) <=> v123(constB90, 0)) | ((~v84(constB90, 2)) <=> v123(constB90, 2)) | ((~v84(constB90, 1)) <=> v123(constB90, 1)))))),
% 15.17/10.32 inference(transitivity,[status(thm)],[11928, 11926])).
% 15.17/10.32 tff(11930,plain,
% 15.17/10.32 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB90)) | (~(((~v84(constB90, 2)) <=> v123(constB90, 2)) | ((~v84(constB90, 1)) <=> v123(constB90, 1)) | ((~v84(constB90, 0)) <=> v123(constB90, 0)))))),
% 15.17/10.32 inference(quant_inst,[status(thm)],[])).
% 15.17/10.32 tff(11931,plain,
% 15.17/10.32 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB90)) | (~(((~v84(constB90, 0)) <=> v123(constB90, 0)) | ((~v84(constB90, 2)) <=> v123(constB90, 2)) | ((~v84(constB90, 1)) <=> v123(constB90, 1))))),
% 15.17/10.32 inference(modus_ponens,[status(thm)],[11930, 11929])).
% 15.17/10.32 tff(11932,plain,
% 15.17/10.32 ((~v94(constB90)) | (~(((~v84(constB90, 0)) <=> v123(constB90, 0)) | ((~v84(constB90, 2)) <=> v123(constB90, 2)) | ((~v84(constB90, 1)) <=> v123(constB90, 1))))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11931, 2517])).
% 15.17/10.32 tff(11933,plain,
% 15.17/10.32 (~(((~v84(constB90, 0)) <=> v123(constB90, 0)) | ((~v84(constB90, 2)) <=> v123(constB90, 2)) | ((~v84(constB90, 1)) <=> v123(constB90, 1)))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11932, 11925])).
% 15.17/10.32 tff(11934,plain,
% 15.17/10.32 ((((~v84(constB90, 0)) <=> v123(constB90, 0)) | ((~v84(constB90, 2)) <=> v123(constB90, 2)) | ((~v84(constB90, 1)) <=> v123(constB90, 1))) | (~((~v84(constB90, 2)) <=> v123(constB90, 2)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11935,plain,
% 15.17/10.32 (~((~v84(constB90, 2)) <=> v123(constB90, 2))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11934, 11933])).
% 15.17/10.32 tff(11936,plain,
% 15.17/10.32 (((~v84(constB90, 2)) <=> v123(constB90, 2)) | (~v84(constB90, 2)) | v123(constB90, 2)),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11937,plain,
% 15.17/10.32 (~v84(constB90, 2)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11936, 11935, 11835])).
% 15.17/10.32 tff(11938,plain,
% 15.17/10.32 (((~v84(constB91, 2)) <=> v84(constB90, 2)) | (~v84(constB91, 2)) | v84(constB90, 2)),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11939,plain,
% 15.17/10.32 (~v84(constB91, 2)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11938, 11937, 6669])).
% 15.17/10.32 tff(11940,plain,
% 15.17/10.32 ((((~v84(constB91, 1)) <=> v84(constB90, 1)) | ((~v84(constB91, 2)) <=> v84(constB90, 2)) | ((~v84(constB91, 0)) <=> v84(constB90, 0))) | (~((~v84(constB91, 0)) <=> v84(constB90, 0)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11941,plain,
% 15.17/10.32 (~((~v84(constB91, 0)) <=> v84(constB90, 0))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11940, 6667])).
% 15.17/10.32 tff(11942,plain,
% 15.17/10.32 ((((~v123(constB90, 2)) <=> v121(constB89, 2)) | ((~v123(constB90, 1)) <=> v121(constB89, 1)) | ((~v123(constB90, 0)) <=> v121(constB89, 0))) | (~((~v123(constB90, 0)) <=> v121(constB89, 0)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11943,plain,
% 15.17/10.32 (~((~v123(constB90, 0)) <=> v121(constB89, 0))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11942, 6676])).
% 15.17/10.32 tff(11944,plain,
% 15.17/10.32 ((((~v121(constB89, 2)) <=> v124(constB89, 2)) | ((~v121(constB89, 0)) <=> v124(constB89, 0)) | ((~v121(constB89, 1)) <=> v124(constB89, 1))) | (~((~v121(constB89, 0)) <=> v124(constB89, 0)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11945,plain,
% 15.17/10.32 (~((~v121(constB89, 0)) <=> v124(constB89, 0))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11944, 6690])).
% 15.17/10.32 tff(11946,plain,
% 15.17/10.32 ((v124(constB89, 2) | (~v124(constB89, 0)) | (~v124(constB89, 1))) | v124(constB89, 0)),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11947,plain,
% 15.17/10.32 (v124(constB89, 0)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11946, 11829])).
% 15.17/10.32 tff(11948,plain,
% 15.17/10.32 (((~v121(constB89, 0)) <=> v124(constB89, 0)) | v121(constB89, 0) | (~v124(constB89, 0))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11949,plain,
% 15.17/10.32 (v121(constB89, 0)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11948, 11947, 11945])).
% 15.17/10.32 tff(11950,plain,
% 15.17/10.32 (((~v123(constB90, 0)) <=> v121(constB89, 0)) | v123(constB90, 0) | (~v121(constB89, 0))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11951,plain,
% 15.17/10.32 (v123(constB90, 0)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11950, 11949, 11943])).
% 15.17/10.32 tff(11952,plain,
% 15.17/10.32 ((((~v84(constB90, 0)) <=> v123(constB90, 0)) | ((~v84(constB90, 2)) <=> v123(constB90, 2)) | ((~v84(constB90, 1)) <=> v123(constB90, 1))) | (~((~v84(constB90, 0)) <=> v123(constB90, 0)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11953,plain,
% 15.17/10.32 (~((~v84(constB90, 0)) <=> v123(constB90, 0))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11952, 11933])).
% 15.17/10.32 tff(11954,plain,
% 15.17/10.32 (((~v84(constB90, 0)) <=> v123(constB90, 0)) | v84(constB90, 0) | (~v123(constB90, 0))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11955,plain,
% 15.17/10.32 (v84(constB90, 0)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11954, 11953, 11951])).
% 15.17/10.32 tff(11956,plain,
% 15.17/10.32 (((~v84(constB91, 0)) <=> v84(constB90, 0)) | v84(constB91, 0) | (~v84(constB90, 0))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11957,plain,
% 15.17/10.32 (v84(constB91, 0)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11956, 11955, 11941])).
% 15.17/10.32 tff(11958,plain,
% 15.17/10.32 ((((~v84(constB91, 1)) <=> v84(constB90, 1)) | ((~v84(constB91, 2)) <=> v84(constB90, 2)) | ((~v84(constB91, 0)) <=> v84(constB90, 0))) | (~((~v84(constB91, 1)) <=> v84(constB90, 1)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11959,plain,
% 15.17/10.32 (~((~v84(constB91, 1)) <=> v84(constB90, 1))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11958, 6667])).
% 15.17/10.32 tff(11960,plain,
% 15.17/10.32 ((((~v123(constB90, 2)) <=> v121(constB89, 2)) | ((~v123(constB90, 1)) <=> v121(constB89, 1)) | ((~v123(constB90, 0)) <=> v121(constB89, 0))) | (~((~v123(constB90, 1)) <=> v121(constB89, 1)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11961,plain,
% 15.17/10.32 (~((~v123(constB90, 1)) <=> v121(constB89, 1))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11960, 6676])).
% 15.17/10.32 tff(11962,plain,
% 15.17/10.32 ((((~v121(constB89, 2)) <=> v124(constB89, 2)) | ((~v121(constB89, 0)) <=> v124(constB89, 0)) | ((~v121(constB89, 1)) <=> v124(constB89, 1))) | (~((~v121(constB89, 1)) <=> v124(constB89, 1)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11963,plain,
% 15.17/10.32 (~((~v121(constB89, 1)) <=> v124(constB89, 1))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11962, 6690])).
% 15.17/10.32 tff(11964,plain,
% 15.17/10.32 ((v124(constB89, 2) | (~v124(constB89, 0)) | (~v124(constB89, 1))) | v124(constB89, 1)),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11965,plain,
% 15.17/10.32 (v124(constB89, 1)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11964, 11829])).
% 15.17/10.32 tff(11966,plain,
% 15.17/10.32 (((~v121(constB89, 1)) <=> v124(constB89, 1)) | v121(constB89, 1) | (~v124(constB89, 1))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11967,plain,
% 15.17/10.32 (v121(constB89, 1)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11966, 11965, 11963])).
% 15.17/10.32 tff(11968,plain,
% 15.17/10.32 (((~v123(constB90, 1)) <=> v121(constB89, 1)) | v123(constB90, 1) | (~v121(constB89, 1))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11969,plain,
% 15.17/10.32 (v123(constB90, 1)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11968, 11967, 11961])).
% 15.17/10.32 tff(11970,plain,
% 15.17/10.32 ((((~v84(constB90, 0)) <=> v123(constB90, 0)) | ((~v84(constB90, 2)) <=> v123(constB90, 2)) | ((~v84(constB90, 1)) <=> v123(constB90, 1))) | (~((~v84(constB90, 1)) <=> v123(constB90, 1)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11971,plain,
% 15.17/10.32 (~((~v84(constB90, 1)) <=> v123(constB90, 1))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11970, 11933])).
% 15.17/10.32 tff(11972,plain,
% 15.17/10.32 (((~v84(constB90, 1)) <=> v123(constB90, 1)) | v84(constB90, 1) | (~v123(constB90, 1))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11973,plain,
% 15.17/10.32 (v84(constB90, 1)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11972, 11971, 11969])).
% 15.17/10.32 tff(11974,plain,
% 15.17/10.32 (((~v84(constB91, 1)) <=> v84(constB90, 1)) | v84(constB91, 1) | (~v84(constB90, 1))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11975,plain,
% 15.17/10.32 (v84(constB91, 1)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11974, 11973, 11959])).
% 15.17/10.32 tff(11976,plain,
% 15.17/10.32 ((~(v84(constB91, 2) | (~v84(constB91, 1)) | (~v84(constB91, 0)))) | v84(constB91, 2) | (~v84(constB91, 1)) | (~v84(constB91, 0))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11977,plain,
% 15.17/10.32 (~(v84(constB91, 2) | (~v84(constB91, 1)) | (~v84(constB91, 0)))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11976, 11975, 11957, 11939])).
% 15.17/10.32 tff(11978,plain,
% 15.17/10.32 ((~(v116(constB91) <=> (~(v84(constB91, 2) | (~v84(constB91, 1)) | (~v84(constB91, 0)))))) | v116(constB91) | (v84(constB91, 2) | (~v84(constB91, 1)) | (~v84(constB91, 0)))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11979,plain,
% 15.17/10.32 (v116(constB91)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11978, 11977, 6633])).
% 15.17/10.32 tff(11980,plain,
% 15.17/10.32 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB91)) | (~(v124(constB91, 0) | v124(constB91, 1) | (~v124(constB91, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB91)) | (~(v124(constB91, 0) | v124(constB91, 1) | (~v124(constB91, 2)))))),
% 15.17/10.32 inference(rewrite,[status(thm)],[])).
% 15.17/10.32 tff(11981,plain,
% 15.17/10.32 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB91)) | (~(v124(constB91, 0) | v124(constB91, 1) | (~v124(constB91, 2)))))),
% 15.17/10.32 inference(quant_inst,[status(thm)],[])).
% 15.17/10.32 tff(11982,plain,
% 15.17/10.32 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB91)) | (~(v124(constB91, 0) | v124(constB91, 1) | (~v124(constB91, 2))))),
% 15.17/10.32 inference(modus_ponens,[status(thm)],[11981, 11980])).
% 15.17/10.32 tff(11983,plain,
% 15.17/10.32 ((~v116(constB91)) | (~(v124(constB91, 0) | v124(constB91, 1) | (~v124(constB91, 2))))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11982, 3309])).
% 15.17/10.32 tff(11984,plain,
% 15.17/10.32 (~(v124(constB91, 0) | v124(constB91, 1) | (~v124(constB91, 2)))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11983, 11979])).
% 15.17/10.32 tff(11985,plain,
% 15.17/10.32 ((v124(constB91, 0) | v124(constB91, 1) | (~v124(constB91, 2))) | v124(constB91, 2)),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11986,plain,
% 15.17/10.32 (v124(constB91, 2)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11985, 11984])).
% 15.17/10.32 tff(11987,plain,
% 15.17/10.32 (((~v121(constB91, 2)) <=> v124(constB91, 2)) | v121(constB91, 2) | (~v124(constB91, 2))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11988,plain,
% 15.17/10.32 (v121(constB91, 2)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11987, 11986, 6631])).
% 15.17/10.32 tff(11989,plain,
% 15.17/10.32 (((~v123(constB92, 2)) <=> v121(constB91, 2)) | v123(constB92, 2) | (~v121(constB91, 2))),
% 15.17/10.32 inference(tautology,[status(thm)],[])).
% 15.17/10.32 tff(11990,plain,
% 15.17/10.32 (v123(constB92, 2)),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11989, 11988, 6617])).
% 15.17/10.32 tff(11991,plain,
% 15.17/10.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB91, constB92)) | (v94(constB92) <=> (~((~v95(constB92)) | (~v104(constB92))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB91, constB92)) | (v94(constB92) <=> (~((~v95(constB92)) | (~v104(constB92))))))),
% 15.17/10.32 inference(rewrite,[status(thm)],[])).
% 15.17/10.32 tff(11992,plain,
% 15.17/10.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB91, constB92)) | (v94(constB92) <=> (~((~v95(constB92)) | (~v104(constB92))))))),
% 15.17/10.32 inference(quant_inst,[status(thm)],[])).
% 15.17/10.32 tff(11993,plain,
% 15.17/10.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB91, constB92)) | (v94(constB92) <=> (~((~v95(constB92)) | (~v104(constB92)))))),
% 15.17/10.32 inference(modus_ponens,[status(thm)],[11992, 11991])).
% 15.17/10.32 tff(11994,plain,
% 15.17/10.32 (v94(constB92) <=> (~((~v95(constB92)) | (~v104(constB92))))),
% 15.17/10.32 inference(unit_resolution,[status(thm)],[11993, 6611, 770])).
% 15.17/10.32 tff(11995,plain,
% 15.17/10.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92))))))),
% 15.17/10.32 inference(rewrite,[status(thm)],[])).
% 15.17/10.32 tff(11996,plain,
% 15.17/10.32 (((~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v96(constB92)) | (~v1(constB92)))))) <=> ((~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92))))))),
% 15.17/10.32 inference(rewrite,[status(thm)],[])).
% 15.17/10.32 tff(11997,plain,
% 15.17/10.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v96(constB92)) | (~v1(constB92))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92)))))))),
% 15.17/10.33 inference(monotonicity,[status(thm)],[11996])).
% 15.17/10.33 tff(11998,plain,
% 15.17/10.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v96(constB92)) | (~v1(constB92))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92))))))),
% 15.17/10.33 inference(transitivity,[status(thm)],[11997, 11995])).
% 15.17/10.33 tff(11999,plain,
% 15.17/10.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v96(constB92)) | (~v1(constB92))))))),
% 15.17/10.33 inference(quant_inst,[status(thm)],[])).
% 15.17/10.33 tff(12000,plain,
% 15.17/10.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92)))))),
% 15.17/10.33 inference(modus_ponens,[status(thm)],[11999, 11998])).
% 15.17/10.33 tff(12001,plain,
% 15.17/10.33 (v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92))))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12000, 6611, 790])).
% 15.17/10.33 tff(12002,plain,
% 15.17/10.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB91, constB92)) | ((~v96(constB92)) <=> v98(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB91, constB92)) | ((~v96(constB92)) <=> v98(constB92)))),
% 15.17/10.33 inference(rewrite,[status(thm)],[])).
% 15.17/10.33 tff(12003,plain,
% 15.17/10.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB91, constB92)) | ((~v96(constB92)) <=> v98(constB92)))),
% 15.17/10.33 inference(quant_inst,[status(thm)],[])).
% 15.17/10.33 tff(12004,plain,
% 15.17/10.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB91, constB92)) | ((~v96(constB92)) <=> v98(constB92))),
% 15.17/10.33 inference(modus_ponens,[status(thm)],[12003, 12002])).
% 15.17/10.33 tff(12005,plain,
% 15.17/10.33 ((~v96(constB92)) <=> v98(constB92)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12004, 6611, 2332])).
% 15.17/10.33 tff(12006,plain,
% 15.17/10.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB91, constB92)) | (v98(constB92) <=> v1(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB91, constB92)) | (v98(constB92) <=> v1(constB91)))),
% 15.17/10.33 inference(rewrite,[status(thm)],[])).
% 15.17/10.33 tff(12007,plain,
% 15.17/10.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB91, constB92)) | (v98(constB92) <=> v1(constB91)))),
% 15.17/10.33 inference(quant_inst,[status(thm)],[])).
% 15.17/10.33 tff(12008,plain,
% 15.17/10.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB91, constB92)) | (v98(constB92) <=> v1(constB91))),
% 15.17/10.33 inference(modus_ponens,[status(thm)],[12007, 12006])).
% 15.17/10.33 tff(12009,plain,
% 15.17/10.33 (v98(constB92) <=> v1(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12008, 6611, 2346])).
% 15.17/10.33 tff(12010,plain,
% 15.17/10.33 ((~(v98(constB92) <=> v1(constB91))) | (~v98(constB92)) | v1(constB91)),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12011,plain,
% 15.17/10.33 ((~(v98(constB92) <=> v1(constB91))) | (~v98(constB92))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12010, 6650])).
% 15.17/10.33 tff(12012,plain,
% 15.17/10.33 (~v98(constB92)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12011, 12009])).
% 15.17/10.33 tff(12013,plain,
% 15.17/10.33 ((~((~v96(constB92)) <=> v98(constB92))) | v96(constB92) | v98(constB92)),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12014,plain,
% 15.17/10.33 (v96(constB92)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12013, 12012, 12005])).
% 15.17/10.33 tff(12015,plain,
% 15.17/10.33 (v1(constB92) <=> v1(constB92)),
% 15.17/10.33 inference(rewrite,[status(thm)],[])).
% 15.17/10.33 tff(12016,axiom,(v1(constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_92')).
% 15.17/10.33 tff(12017,plain,
% 15.17/10.33 (v1(constB92)),
% 15.17/10.33 inference(modus_ponens,[status(thm)],[12016, 12015])).
% 15.17/10.33 tff(12018,plain,
% 15.17/10.33 ((~((~v1(constB92)) | (~v96(constB92)))) | (~v1(constB92)) | (~v96(constB92))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12019,plain,
% 15.17/10.33 ((~((~v1(constB92)) | (~v96(constB92)))) | (~v96(constB92))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12018, 12017])).
% 15.17/10.33 tff(12020,plain,
% 15.17/10.33 (~((~v1(constB92)) | (~v96(constB92)))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12019, 12014])).
% 15.17/10.33 tff(12021,plain,
% 15.17/10.33 ((~(v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92)))))) | v95(constB92) | ((~v1(constB92)) | (~v96(constB92)))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12022,plain,
% 15.17/10.33 (v95(constB92)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12021, 12020, 12001])).
% 15.17/10.33 tff(12023,plain,
% 15.17/10.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB91, constB92)) | (v104(constB92) <=> v102(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB91, constB92)) | (v104(constB92) <=> v102(constB91)))),
% 15.17/10.33 inference(rewrite,[status(thm)],[])).
% 15.17/10.33 tff(12024,plain,
% 15.17/10.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB91, constB92)) | (v104(constB92) <=> v102(constB91)))),
% 15.17/10.33 inference(quant_inst,[status(thm)],[])).
% 15.17/10.33 tff(12025,plain,
% 15.17/10.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB91, constB92)) | (v104(constB92) <=> v102(constB91))),
% 15.17/10.33 inference(modus_ponens,[status(thm)],[12024, 12023])).
% 15.17/10.33 tff(12026,plain,
% 15.17/10.33 (v104(constB92) <=> v102(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12025, 6611, 2373])).
% 15.17/10.33 tff(12027,plain,
% 15.17/10.33 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB91) <=> (v105(constB91) | v106(constB91)))),
% 15.17/10.33 inference(quant_inst,[status(thm)],[])).
% 15.17/10.33 tff(12028,plain,
% 15.17/10.33 (v102(constB91) <=> (v105(constB91) | v106(constB91))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12027, 2384])).
% 15.17/10.33 tff(12029,plain,
% 15.17/10.33 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB91) <=> (~((~v107(constB91)) | (~v120(constB91)))))),
% 15.17/10.33 inference(quant_inst,[status(thm)],[])).
% 15.17/10.33 tff(12030,plain,
% 15.17/10.33 (v106(constB91) <=> (~((~v107(constB91)) | (~v120(constB91))))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12029, 2396])).
% 15.17/10.33 tff(12031,plain,
% 15.17/10.33 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB91) <=> (v108(constB91) | v119(constB91)))),
% 15.17/10.33 inference(quant_inst,[status(thm)],[])).
% 15.17/10.33 tff(12032,plain,
% 15.17/10.33 (v107(constB91) <=> (v108(constB91) | v119(constB91))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12031, 2405])).
% 15.17/10.33 tff(12033,plain,
% 15.17/10.33 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB91) <=> (v109(constB91) | v118(constB91)))),
% 15.17/10.33 inference(quant_inst,[status(thm)],[])).
% 15.17/10.33 tff(12034,plain,
% 15.17/10.33 (v108(constB91) <=> (v109(constB91) | v118(constB91))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12033, 2414])).
% 15.17/10.33 tff(12035,plain,
% 15.17/10.33 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB91) <=> (v110(constB91) | v117(constB91)))),
% 15.17/10.33 inference(quant_inst,[status(thm)],[])).
% 15.17/10.33 tff(12036,plain,
% 15.17/10.33 (v109(constB91) <=> (v110(constB91) | v117(constB91))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12035, 2423])).
% 15.17/10.33 tff(12037,plain,
% 15.17/10.33 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB91) <=> (v111(constB91) | v116(constB91)))),
% 15.17/10.33 inference(quant_inst,[status(thm)],[])).
% 15.17/10.33 tff(12038,plain,
% 15.17/10.33 (v110(constB91) <=> (v111(constB91) | v116(constB91))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12037, 2432])).
% 15.17/10.33 tff(12039,plain,
% 15.17/10.33 ((v111(constB91) | v116(constB91)) | (~v116(constB91))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12040,plain,
% 15.17/10.33 (v111(constB91) | v116(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12039, 11979])).
% 15.17/10.33 tff(12041,plain,
% 15.17/10.33 ((~(v110(constB91) <=> (v111(constB91) | v116(constB91)))) | v110(constB91) | (~(v111(constB91) | v116(constB91)))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12042,plain,
% 15.17/10.33 (v110(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12041, 12040, 12038])).
% 15.17/10.33 tff(12043,plain,
% 15.17/10.33 ((v110(constB91) | v117(constB91)) | (~v110(constB91))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12044,plain,
% 15.17/10.33 (v110(constB91) | v117(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12043, 12042])).
% 15.17/10.33 tff(12045,plain,
% 15.17/10.33 ((~(v109(constB91) <=> (v110(constB91) | v117(constB91)))) | v109(constB91) | (~(v110(constB91) | v117(constB91)))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12046,plain,
% 15.17/10.33 (v109(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12045, 12044, 12036])).
% 15.17/10.33 tff(12047,plain,
% 15.17/10.33 ((v109(constB91) | v118(constB91)) | (~v109(constB91))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12048,plain,
% 15.17/10.33 (v109(constB91) | v118(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12047, 12046])).
% 15.17/10.33 tff(12049,plain,
% 15.17/10.33 ((~(v108(constB91) <=> (v109(constB91) | v118(constB91)))) | v108(constB91) | (~(v109(constB91) | v118(constB91)))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12050,plain,
% 15.17/10.33 (v108(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12049, 12048, 12034])).
% 15.17/10.33 tff(12051,plain,
% 15.17/10.33 ((v108(constB91) | v119(constB91)) | (~v108(constB91))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12052,plain,
% 15.17/10.33 (v108(constB91) | v119(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12051, 12050])).
% 15.17/10.33 tff(12053,plain,
% 15.17/10.33 ((~(v107(constB91) <=> (v108(constB91) | v119(constB91)))) | v107(constB91) | (~(v108(constB91) | v119(constB91)))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12054,plain,
% 15.17/10.33 (v107(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12053, 12052, 12032])).
% 15.17/10.33 tff(12055,plain,
% 15.17/10.33 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB91)) <=> v105(constB91))),
% 15.17/10.33 inference(quant_inst,[status(thm)],[])).
% 15.17/10.33 tff(12056,plain,
% 15.17/10.33 ((~v120(constB91)) <=> v105(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12055, 2484])).
% 15.17/10.33 tff(12057,plain,
% 15.17/10.33 ((~((~v120(constB91)) <=> v105(constB91))) | v120(constB91) | v105(constB91)),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12058,plain,
% 15.17/10.33 ((~((~v120(constB91)) <=> v105(constB91))) | v120(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12057, 6624])).
% 15.17/10.33 tff(12059,plain,
% 15.17/10.33 (v120(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12058, 12056])).
% 15.17/10.33 tff(12060,plain,
% 15.17/10.33 ((~((~v107(constB91)) | (~v120(constB91)))) | (~v107(constB91)) | (~v120(constB91))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12061,plain,
% 15.17/10.33 ((~((~v107(constB91)) | (~v120(constB91)))) | (~v107(constB91))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12060, 12059])).
% 15.17/10.33 tff(12062,plain,
% 15.17/10.33 (~((~v107(constB91)) | (~v120(constB91)))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12061, 12054])).
% 15.17/10.33 tff(12063,plain,
% 15.17/10.33 ((~(v106(constB91) <=> (~((~v107(constB91)) | (~v120(constB91)))))) | v106(constB91) | ((~v107(constB91)) | (~v120(constB91)))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12064,plain,
% 15.17/10.33 (v106(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12063, 12062, 12030])).
% 15.17/10.33 tff(12065,plain,
% 15.17/10.33 ((v105(constB91) | v106(constB91)) | (~v106(constB91))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12066,plain,
% 15.17/10.33 (v105(constB91) | v106(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12065, 12064])).
% 15.17/10.33 tff(12067,plain,
% 15.17/10.33 ((~(v102(constB91) <=> (v105(constB91) | v106(constB91)))) | v102(constB91) | (~(v105(constB91) | v106(constB91)))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12068,plain,
% 15.17/10.33 (v102(constB91)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12067, 12066, 12028])).
% 15.17/10.33 tff(12069,plain,
% 15.17/10.33 ((~(v104(constB92) <=> v102(constB91))) | v104(constB92) | (~v102(constB91))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12070,plain,
% 15.17/10.33 (v104(constB92)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12069, 12068, 12026])).
% 15.17/10.33 tff(12071,plain,
% 15.17/10.33 ((~((~v95(constB92)) | (~v104(constB92)))) | (~v95(constB92)) | (~v104(constB92))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12072,plain,
% 15.17/10.33 (~((~v95(constB92)) | (~v104(constB92)))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12071, 12070, 12022])).
% 15.17/10.33 tff(12073,plain,
% 15.17/10.33 ((~(v94(constB92) <=> (~((~v95(constB92)) | (~v104(constB92)))))) | v94(constB92) | ((~v95(constB92)) | (~v104(constB92)))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12074,plain,
% 15.17/10.33 (v94(constB92)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12073, 12072, 11994])).
% 15.17/10.33 tff(12075,plain,
% 15.17/10.33 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB92)) | (~(((~v84(constB92, 2)) <=> v123(constB92, 2)) | ((~v84(constB92, 1)) <=> v123(constB92, 1)) | ((~v84(constB92, 0)) <=> v123(constB92, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB92)) | (~(((~v84(constB92, 2)) <=> v123(constB92, 2)) | ((~v84(constB92, 1)) <=> v123(constB92, 1)) | ((~v84(constB92, 0)) <=> v123(constB92, 0)))))),
% 15.17/10.33 inference(rewrite,[status(thm)],[])).
% 15.17/10.33 tff(12076,plain,
% 15.17/10.33 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB92)) | (~(((~v84(constB92, 2)) <=> v123(constB92, 2)) | ((~v84(constB92, 1)) <=> v123(constB92, 1)) | ((~v84(constB92, 0)) <=> v123(constB92, 0)))))),
% 15.17/10.33 inference(quant_inst,[status(thm)],[])).
% 15.17/10.33 tff(12077,plain,
% 15.17/10.33 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB92)) | (~(((~v84(constB92, 2)) <=> v123(constB92, 2)) | ((~v84(constB92, 1)) <=> v123(constB92, 1)) | ((~v84(constB92, 0)) <=> v123(constB92, 0))))),
% 15.17/10.33 inference(modus_ponens,[status(thm)],[12076, 12075])).
% 15.17/10.33 tff(12078,plain,
% 15.17/10.33 ((~v94(constB92)) | (~(((~v84(constB92, 2)) <=> v123(constB92, 2)) | ((~v84(constB92, 1)) <=> v123(constB92, 1)) | ((~v84(constB92, 0)) <=> v123(constB92, 0))))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12077, 2517])).
% 15.17/10.33 tff(12079,plain,
% 15.17/10.33 (~(((~v84(constB92, 2)) <=> v123(constB92, 2)) | ((~v84(constB92, 1)) <=> v123(constB92, 1)) | ((~v84(constB92, 0)) <=> v123(constB92, 0)))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12078, 12074])).
% 15.17/10.33 tff(12080,plain,
% 15.17/10.33 ((((~v84(constB92, 2)) <=> v123(constB92, 2)) | ((~v84(constB92, 1)) <=> v123(constB92, 1)) | ((~v84(constB92, 0)) <=> v123(constB92, 0))) | (~((~v84(constB92, 2)) <=> v123(constB92, 2)))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12081,plain,
% 15.17/10.33 (~((~v84(constB92, 2)) <=> v123(constB92, 2))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12080, 12079])).
% 15.17/10.33 tff(12082,plain,
% 15.17/10.33 (((~v84(constB92, 2)) <=> v123(constB92, 2)) | v84(constB92, 2) | (~v123(constB92, 2))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12083,plain,
% 15.17/10.33 (v84(constB92, 2)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12082, 12081, 11990])).
% 15.17/10.33 tff(12084,plain,
% 15.17/10.33 (((~v84(constB93, 2)) <=> v84(constB92, 2)) | v84(constB93, 2) | (~v84(constB92, 2))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12085,plain,
% 15.17/10.33 (v84(constB93, 2)),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12084, 12083, 6608])).
% 15.17/10.33 tff(12086,plain,
% 15.17/10.33 ((((~v84(constB93, 1)) <=> v84(constB92, 1)) | ((~v84(constB93, 2)) <=> v84(constB92, 2)) | ((~v84(constB93, 0)) <=> v84(constB92, 0))) | (~((~v84(constB93, 0)) <=> v84(constB92, 0)))),
% 15.17/10.33 inference(tautology,[status(thm)],[])).
% 15.17/10.33 tff(12087,plain,
% 15.17/10.33 (~((~v84(constB93, 0)) <=> v84(constB92, 0))),
% 15.17/10.33 inference(unit_resolution,[status(thm)],[12086, 6606])).
% 15.17/10.33 tff(12088,plain,
% 15.17/10.33 ((((~v123(constB92, 2)) <=> v121(constB91, 2)) | ((~v123(constB92, 1)) <=> v121(constB91, 1)) | ((~v123(constB92, 0)) <=> v121(constB91, 0))) | (~((~v123(constB92, 0)) <=> v121(constB91, 0)))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12089,plain,
% 15.17/10.34 (~((~v123(constB92, 0)) <=> v121(constB91, 0))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12088, 6615])).
% 15.17/10.34 tff(12090,plain,
% 15.17/10.34 ((((~v121(constB91, 2)) <=> v124(constB91, 2)) | ((~v121(constB91, 0)) <=> v124(constB91, 0)) | ((~v121(constB91, 1)) <=> v124(constB91, 1))) | (~((~v121(constB91, 0)) <=> v124(constB91, 0)))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12091,plain,
% 15.17/10.34 (~((~v121(constB91, 0)) <=> v124(constB91, 0))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12090, 6629])).
% 15.17/10.34 tff(12092,plain,
% 15.17/10.34 ((v124(constB91, 0) | v124(constB91, 1) | (~v124(constB91, 2))) | (~v124(constB91, 0))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12093,plain,
% 15.17/10.34 (~v124(constB91, 0)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12092, 11984])).
% 15.17/10.34 tff(12094,plain,
% 15.17/10.34 (((~v121(constB91, 0)) <=> v124(constB91, 0)) | (~v121(constB91, 0)) | v124(constB91, 0)),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12095,plain,
% 15.17/10.34 (~v121(constB91, 0)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12094, 12093, 12091])).
% 15.17/10.34 tff(12096,plain,
% 15.17/10.34 (((~v123(constB92, 0)) <=> v121(constB91, 0)) | (~v123(constB92, 0)) | v121(constB91, 0)),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12097,plain,
% 15.17/10.34 (~v123(constB92, 0)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12096, 12095, 12089])).
% 15.17/10.34 tff(12098,plain,
% 15.17/10.34 ((((~v84(constB92, 2)) <=> v123(constB92, 2)) | ((~v84(constB92, 1)) <=> v123(constB92, 1)) | ((~v84(constB92, 0)) <=> v123(constB92, 0))) | (~((~v84(constB92, 0)) <=> v123(constB92, 0)))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12099,plain,
% 15.17/10.34 (~((~v84(constB92, 0)) <=> v123(constB92, 0))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12098, 12079])).
% 15.17/10.34 tff(12100,plain,
% 15.17/10.34 (((~v84(constB92, 0)) <=> v123(constB92, 0)) | (~v84(constB92, 0)) | v123(constB92, 0)),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12101,plain,
% 15.17/10.34 (~v84(constB92, 0)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12100, 12099, 12097])).
% 15.17/10.34 tff(12102,plain,
% 15.17/10.34 (((~v84(constB93, 0)) <=> v84(constB92, 0)) | (~v84(constB93, 0)) | v84(constB92, 0)),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12103,plain,
% 15.17/10.34 (~v84(constB93, 0)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12102, 12101, 12087])).
% 15.17/10.34 tff(12104,plain,
% 15.17/10.34 ((((~v84(constB93, 1)) <=> v84(constB92, 1)) | ((~v84(constB93, 2)) <=> v84(constB92, 2)) | ((~v84(constB93, 0)) <=> v84(constB92, 0))) | (~((~v84(constB93, 1)) <=> v84(constB92, 1)))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12105,plain,
% 15.17/10.34 (~((~v84(constB93, 1)) <=> v84(constB92, 1))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12104, 6606])).
% 15.17/10.34 tff(12106,plain,
% 15.17/10.34 ((((~v123(constB92, 2)) <=> v121(constB91, 2)) | ((~v123(constB92, 1)) <=> v121(constB91, 1)) | ((~v123(constB92, 0)) <=> v121(constB91, 0))) | (~((~v123(constB92, 1)) <=> v121(constB91, 1)))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12107,plain,
% 15.17/10.34 (~((~v123(constB92, 1)) <=> v121(constB91, 1))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12106, 6615])).
% 15.17/10.34 tff(12108,plain,
% 15.17/10.34 ((((~v121(constB91, 2)) <=> v124(constB91, 2)) | ((~v121(constB91, 0)) <=> v124(constB91, 0)) | ((~v121(constB91, 1)) <=> v124(constB91, 1))) | (~((~v121(constB91, 1)) <=> v124(constB91, 1)))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12109,plain,
% 15.17/10.34 (~((~v121(constB91, 1)) <=> v124(constB91, 1))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12108, 6629])).
% 15.17/10.34 tff(12110,plain,
% 15.17/10.34 ((v124(constB91, 0) | v124(constB91, 1) | (~v124(constB91, 2))) | (~v124(constB91, 1))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12111,plain,
% 15.17/10.34 (~v124(constB91, 1)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12110, 11984])).
% 15.17/10.34 tff(12112,plain,
% 15.17/10.34 (((~v121(constB91, 1)) <=> v124(constB91, 1)) | (~v121(constB91, 1)) | v124(constB91, 1)),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12113,plain,
% 15.17/10.34 (~v121(constB91, 1)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12112, 12111, 12109])).
% 15.17/10.34 tff(12114,plain,
% 15.17/10.34 (((~v123(constB92, 1)) <=> v121(constB91, 1)) | (~v123(constB92, 1)) | v121(constB91, 1)),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12115,plain,
% 15.17/10.34 (~v123(constB92, 1)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12114, 12113, 12107])).
% 15.17/10.34 tff(12116,plain,
% 15.17/10.34 ((((~v84(constB92, 2)) <=> v123(constB92, 2)) | ((~v84(constB92, 1)) <=> v123(constB92, 1)) | ((~v84(constB92, 0)) <=> v123(constB92, 0))) | (~((~v84(constB92, 1)) <=> v123(constB92, 1)))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12117,plain,
% 15.17/10.34 (~((~v84(constB92, 1)) <=> v123(constB92, 1))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12116, 12079])).
% 15.17/10.34 tff(12118,plain,
% 15.17/10.34 (((~v84(constB92, 1)) <=> v123(constB92, 1)) | (~v84(constB92, 1)) | v123(constB92, 1)),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12119,plain,
% 15.17/10.34 (~v84(constB92, 1)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12118, 12117, 12115])).
% 15.17/10.34 tff(12120,plain,
% 15.17/10.34 (((~v84(constB93, 1)) <=> v84(constB92, 1)) | (~v84(constB93, 1)) | v84(constB92, 1)),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12121,plain,
% 15.17/10.34 (~v84(constB93, 1)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12120, 12119, 12105])).
% 15.17/10.34 tff(12122,plain,
% 15.17/10.34 ((~(v84(constB93, 1) | v84(constB93, 0) | (~v84(constB93, 2)))) | v84(constB93, 1) | v84(constB93, 0) | (~v84(constB93, 2))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12123,plain,
% 15.17/10.34 (~(v84(constB93, 1) | v84(constB93, 0) | (~v84(constB93, 2)))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12122, 12121, 12103, 12085])).
% 15.17/10.34 tff(12124,plain,
% 15.17/10.34 ((~(v117(constB93) <=> (~(v84(constB93, 1) | v84(constB93, 0) | (~v84(constB93, 2)))))) | v117(constB93) | (v84(constB93, 1) | v84(constB93, 0) | (~v84(constB93, 2)))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12125,plain,
% 15.17/10.34 (v117(constB93)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12124, 12123, 6572])).
% 15.17/10.34 tff(12126,plain,
% 15.17/10.34 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB93)) | (~(v124(constB93, 0) | (~v124(constB93, 2)) | (~v124(constB93, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB93)) | (~(v124(constB93, 0) | (~v124(constB93, 2)) | (~v124(constB93, 1)))))),
% 15.17/10.34 inference(rewrite,[status(thm)],[])).
% 15.17/10.34 tff(12127,plain,
% 15.17/10.34 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB93)) | (~(v124(constB93, 0) | (~v124(constB93, 2)) | (~v124(constB93, 1)))))),
% 15.17/10.34 inference(quant_inst,[status(thm)],[])).
% 15.17/10.34 tff(12128,plain,
% 15.17/10.34 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB93)) | (~(v124(constB93, 0) | (~v124(constB93, 2)) | (~v124(constB93, 1))))),
% 15.17/10.34 inference(modus_ponens,[status(thm)],[12127, 12126])).
% 15.17/10.34 tff(12129,plain,
% 15.17/10.34 ((~v117(constB93)) | (~(v124(constB93, 0) | (~v124(constB93, 2)) | (~v124(constB93, 1))))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12128, 2584])).
% 15.17/10.34 tff(12130,plain,
% 15.17/10.34 (~(v124(constB93, 0) | (~v124(constB93, 2)) | (~v124(constB93, 1)))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12129, 12125])).
% 15.17/10.34 tff(12131,plain,
% 15.17/10.34 ((v124(constB93, 0) | (~v124(constB93, 2)) | (~v124(constB93, 1))) | (~v124(constB93, 0))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12132,plain,
% 15.17/10.34 (~v124(constB93, 0)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12131, 12130])).
% 15.17/10.34 tff(12133,plain,
% 15.17/10.34 (((~v121(constB93, 0)) <=> v124(constB93, 0)) | (~v121(constB93, 0)) | v124(constB93, 0)),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12134,plain,
% 15.17/10.34 (~v121(constB93, 0)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12133, 12132, 6565])).
% 15.17/10.34 tff(12135,plain,
% 15.17/10.34 (((~v123(constB94, 0)) <=> v121(constB93, 0)) | (~v123(constB94, 0)) | v121(constB93, 0)),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12136,plain,
% 15.17/10.34 (~v123(constB94, 0)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12135, 12134, 6551])).
% 15.17/10.34 tff(12137,plain,
% 15.17/10.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB93, constB94)) | (v94(constB94) <=> (~((~v95(constB94)) | (~v104(constB94))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB93, constB94)) | (v94(constB94) <=> (~((~v95(constB94)) | (~v104(constB94))))))),
% 15.17/10.34 inference(rewrite,[status(thm)],[])).
% 15.17/10.34 tff(12138,plain,
% 15.17/10.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB93, constB94)) | (v94(constB94) <=> (~((~v95(constB94)) | (~v104(constB94))))))),
% 15.17/10.34 inference(quant_inst,[status(thm)],[])).
% 15.17/10.34 tff(12139,plain,
% 15.17/10.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB93, constB94)) | (v94(constB94) <=> (~((~v95(constB94)) | (~v104(constB94)))))),
% 15.17/10.34 inference(modus_ponens,[status(thm)],[12138, 12137])).
% 15.17/10.34 tff(12140,plain,
% 15.17/10.34 (v94(constB94) <=> (~((~v95(constB94)) | (~v104(constB94))))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12139, 6545, 770])).
% 15.17/10.34 tff(12141,plain,
% 15.17/10.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94))))))),
% 15.17/10.34 inference(rewrite,[status(thm)],[])).
% 15.17/10.34 tff(12142,plain,
% 15.17/10.34 (((~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v96(constB94)) | (~v1(constB94)))))) <=> ((~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94))))))),
% 15.17/10.34 inference(rewrite,[status(thm)],[])).
% 15.17/10.34 tff(12143,plain,
% 15.17/10.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v96(constB94)) | (~v1(constB94))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94)))))))),
% 15.17/10.34 inference(monotonicity,[status(thm)],[12142])).
% 15.17/10.34 tff(12144,plain,
% 15.17/10.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v96(constB94)) | (~v1(constB94))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94))))))),
% 15.17/10.34 inference(transitivity,[status(thm)],[12143, 12141])).
% 15.17/10.34 tff(12145,plain,
% 15.17/10.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v96(constB94)) | (~v1(constB94))))))),
% 15.17/10.34 inference(quant_inst,[status(thm)],[])).
% 15.17/10.34 tff(12146,plain,
% 15.17/10.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94)))))),
% 15.17/10.34 inference(modus_ponens,[status(thm)],[12145, 12144])).
% 15.17/10.34 tff(12147,plain,
% 15.17/10.34 (v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94))))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12146, 6545, 790])).
% 15.17/10.34 tff(12148,plain,
% 15.17/10.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB93, constB94)) | ((~v96(constB94)) <=> v98(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB93, constB94)) | ((~v96(constB94)) <=> v98(constB94)))),
% 15.17/10.34 inference(rewrite,[status(thm)],[])).
% 15.17/10.34 tff(12149,plain,
% 15.17/10.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB93, constB94)) | ((~v96(constB94)) <=> v98(constB94)))),
% 15.17/10.34 inference(quant_inst,[status(thm)],[])).
% 15.17/10.34 tff(12150,plain,
% 15.17/10.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB93, constB94)) | ((~v96(constB94)) <=> v98(constB94))),
% 15.17/10.34 inference(modus_ponens,[status(thm)],[12149, 12148])).
% 15.17/10.34 tff(12151,plain,
% 15.17/10.34 ((~v96(constB94)) <=> v98(constB94)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12150, 6545, 2332])).
% 15.17/10.34 tff(12152,plain,
% 15.17/10.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB93, constB94)) | (v98(constB94) <=> v1(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB93, constB94)) | (v98(constB94) <=> v1(constB93)))),
% 15.17/10.34 inference(rewrite,[status(thm)],[])).
% 15.17/10.34 tff(12153,plain,
% 15.17/10.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB93, constB94)) | (v98(constB94) <=> v1(constB93)))),
% 15.17/10.34 inference(quant_inst,[status(thm)],[])).
% 15.17/10.34 tff(12154,plain,
% 15.17/10.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB93, constB94)) | (v98(constB94) <=> v1(constB93))),
% 15.17/10.34 inference(modus_ponens,[status(thm)],[12153, 12152])).
% 15.17/10.34 tff(12155,plain,
% 15.17/10.34 (v98(constB94) <=> v1(constB93)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12154, 6545, 2346])).
% 15.17/10.34 tff(12156,plain,
% 15.17/10.34 ((~(v98(constB94) <=> v1(constB93))) | (~v98(constB94)) | v1(constB93)),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12157,plain,
% 15.17/10.34 ((~(v98(constB94) <=> v1(constB93))) | (~v98(constB94))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12156, 6589])).
% 15.17/10.34 tff(12158,plain,
% 15.17/10.34 (~v98(constB94)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12157, 12155])).
% 15.17/10.34 tff(12159,plain,
% 15.17/10.34 ((~((~v96(constB94)) <=> v98(constB94))) | v96(constB94) | v98(constB94)),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12160,plain,
% 15.17/10.34 (v96(constB94)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12159, 12158, 12151])).
% 15.17/10.34 tff(12161,plain,
% 15.17/10.34 (v1(constB94) <=> v1(constB94)),
% 15.17/10.34 inference(rewrite,[status(thm)],[])).
% 15.17/10.34 tff(12162,axiom,(v1(constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_94')).
% 15.17/10.34 tff(12163,plain,
% 15.17/10.34 (v1(constB94)),
% 15.17/10.34 inference(modus_ponens,[status(thm)],[12162, 12161])).
% 15.17/10.34 tff(12164,plain,
% 15.17/10.34 ((~((~v1(constB94)) | (~v96(constB94)))) | (~v1(constB94)) | (~v96(constB94))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12165,plain,
% 15.17/10.34 ((~((~v1(constB94)) | (~v96(constB94)))) | (~v96(constB94))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12164, 12163])).
% 15.17/10.34 tff(12166,plain,
% 15.17/10.34 (~((~v1(constB94)) | (~v96(constB94)))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12165, 12160])).
% 15.17/10.34 tff(12167,plain,
% 15.17/10.34 ((~(v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94)))))) | v95(constB94) | ((~v1(constB94)) | (~v96(constB94)))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12168,plain,
% 15.17/10.34 (v95(constB94)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12167, 12166, 12147])).
% 15.17/10.34 tff(12169,plain,
% 15.17/10.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB93, constB94)) | (v104(constB94) <=> v102(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB93, constB94)) | (v104(constB94) <=> v102(constB93)))),
% 15.17/10.34 inference(rewrite,[status(thm)],[])).
% 15.17/10.34 tff(12170,plain,
% 15.17/10.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB93, constB94)) | (v104(constB94) <=> v102(constB93)))),
% 15.17/10.34 inference(quant_inst,[status(thm)],[])).
% 15.17/10.34 tff(12171,plain,
% 15.17/10.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB93, constB94)) | (v104(constB94) <=> v102(constB93))),
% 15.17/10.34 inference(modus_ponens,[status(thm)],[12170, 12169])).
% 15.17/10.34 tff(12172,plain,
% 15.17/10.34 (v104(constB94) <=> v102(constB93)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12171, 6545, 2373])).
% 15.17/10.34 tff(12173,plain,
% 15.17/10.34 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB93) <=> (v105(constB93) | v106(constB93)))),
% 15.17/10.34 inference(quant_inst,[status(thm)],[])).
% 15.17/10.34 tff(12174,plain,
% 15.17/10.34 (v102(constB93) <=> (v105(constB93) | v106(constB93))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12173, 2384])).
% 15.17/10.34 tff(12175,plain,
% 15.17/10.34 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB93) <=> (~((~v107(constB93)) | (~v120(constB93)))))),
% 15.17/10.34 inference(quant_inst,[status(thm)],[])).
% 15.17/10.34 tff(12176,plain,
% 15.17/10.34 (v106(constB93) <=> (~((~v107(constB93)) | (~v120(constB93))))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12175, 2396])).
% 15.17/10.34 tff(12177,plain,
% 15.17/10.34 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB93) <=> (v108(constB93) | v119(constB93)))),
% 15.17/10.34 inference(quant_inst,[status(thm)],[])).
% 15.17/10.34 tff(12178,plain,
% 15.17/10.34 (v107(constB93) <=> (v108(constB93) | v119(constB93))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12177, 2405])).
% 15.17/10.34 tff(12179,plain,
% 15.17/10.34 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB93) <=> (v109(constB93) | v118(constB93)))),
% 15.17/10.34 inference(quant_inst,[status(thm)],[])).
% 15.17/10.34 tff(12180,plain,
% 15.17/10.34 (v108(constB93) <=> (v109(constB93) | v118(constB93))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12179, 2414])).
% 15.17/10.34 tff(12181,plain,
% 15.17/10.34 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB93) <=> (v110(constB93) | v117(constB93)))),
% 15.17/10.34 inference(quant_inst,[status(thm)],[])).
% 15.17/10.34 tff(12182,plain,
% 15.17/10.34 (v109(constB93) <=> (v110(constB93) | v117(constB93))),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12181, 2423])).
% 15.17/10.34 tff(12183,plain,
% 15.17/10.34 ((v110(constB93) | v117(constB93)) | (~v117(constB93))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12184,plain,
% 15.17/10.34 (v110(constB93) | v117(constB93)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12183, 12125])).
% 15.17/10.34 tff(12185,plain,
% 15.17/10.34 ((~(v109(constB93) <=> (v110(constB93) | v117(constB93)))) | v109(constB93) | (~(v110(constB93) | v117(constB93)))),
% 15.17/10.34 inference(tautology,[status(thm)],[])).
% 15.17/10.34 tff(12186,plain,
% 15.17/10.34 (v109(constB93)),
% 15.17/10.34 inference(unit_resolution,[status(thm)],[12185, 12184, 12182])).
% 15.17/10.34 tff(12187,plain,
% 15.17/10.34 ((v109(constB93) | v118(constB93)) | (~v109(constB93))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12188,plain,
% 15.17/10.35 (v109(constB93) | v118(constB93)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12187, 12186])).
% 15.17/10.35 tff(12189,plain,
% 15.17/10.35 ((~(v108(constB93) <=> (v109(constB93) | v118(constB93)))) | v108(constB93) | (~(v109(constB93) | v118(constB93)))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12190,plain,
% 15.17/10.35 (v108(constB93)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12189, 12188, 12180])).
% 15.17/10.35 tff(12191,plain,
% 15.17/10.35 ((v108(constB93) | v119(constB93)) | (~v108(constB93))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12192,plain,
% 15.17/10.35 (v108(constB93) | v119(constB93)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12191, 12190])).
% 15.17/10.35 tff(12193,plain,
% 15.17/10.35 ((~(v107(constB93) <=> (v108(constB93) | v119(constB93)))) | v107(constB93) | (~(v108(constB93) | v119(constB93)))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12194,plain,
% 15.17/10.35 (v107(constB93)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12193, 12192, 12178])).
% 15.17/10.35 tff(12195,plain,
% 15.17/10.35 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB93)) <=> v105(constB93))),
% 15.17/10.35 inference(quant_inst,[status(thm)],[])).
% 15.17/10.35 tff(12196,plain,
% 15.17/10.35 ((~v120(constB93)) <=> v105(constB93)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12195, 2484])).
% 15.17/10.35 tff(12197,plain,
% 15.17/10.35 ((~((~v120(constB93)) <=> v105(constB93))) | v120(constB93) | v105(constB93)),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12198,plain,
% 15.17/10.35 ((~((~v120(constB93)) <=> v105(constB93))) | v120(constB93)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12197, 6558])).
% 15.17/10.35 tff(12199,plain,
% 15.17/10.35 (v120(constB93)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12198, 12196])).
% 15.17/10.35 tff(12200,plain,
% 15.17/10.35 ((~((~v107(constB93)) | (~v120(constB93)))) | (~v107(constB93)) | (~v120(constB93))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12201,plain,
% 15.17/10.35 ((~((~v107(constB93)) | (~v120(constB93)))) | (~v107(constB93))),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12200, 12199])).
% 15.17/10.35 tff(12202,plain,
% 15.17/10.35 (~((~v107(constB93)) | (~v120(constB93)))),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12201, 12194])).
% 15.17/10.35 tff(12203,plain,
% 15.17/10.35 ((~(v106(constB93) <=> (~((~v107(constB93)) | (~v120(constB93)))))) | v106(constB93) | ((~v107(constB93)) | (~v120(constB93)))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12204,plain,
% 15.17/10.35 (v106(constB93)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12203, 12202, 12176])).
% 15.17/10.35 tff(12205,plain,
% 15.17/10.35 ((v105(constB93) | v106(constB93)) | (~v106(constB93))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12206,plain,
% 15.17/10.35 (v105(constB93) | v106(constB93)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12205, 12204])).
% 15.17/10.35 tff(12207,plain,
% 15.17/10.35 ((~(v102(constB93) <=> (v105(constB93) | v106(constB93)))) | v102(constB93) | (~(v105(constB93) | v106(constB93)))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12208,plain,
% 15.17/10.35 (v102(constB93)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12207, 12206, 12174])).
% 15.17/10.35 tff(12209,plain,
% 15.17/10.35 ((~(v104(constB94) <=> v102(constB93))) | v104(constB94) | (~v102(constB93))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12210,plain,
% 15.17/10.35 (v104(constB94)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12209, 12208, 12172])).
% 15.17/10.35 tff(12211,plain,
% 15.17/10.35 ((~((~v95(constB94)) | (~v104(constB94)))) | (~v95(constB94)) | (~v104(constB94))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12212,plain,
% 15.17/10.35 (~((~v95(constB94)) | (~v104(constB94)))),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12211, 12210, 12168])).
% 15.17/10.35 tff(12213,plain,
% 15.17/10.35 ((~(v94(constB94) <=> (~((~v95(constB94)) | (~v104(constB94)))))) | v94(constB94) | ((~v95(constB94)) | (~v104(constB94)))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12214,plain,
% 15.17/10.35 (v94(constB94)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12213, 12212, 12140])).
% 15.17/10.35 tff(12215,plain,
% 15.17/10.35 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB94)) | (~(((~v84(constB94, 0)) <=> v123(constB94, 0)) | ((~v84(constB94, 2)) <=> v123(constB94, 2)) | ((~v84(constB94, 1)) <=> v123(constB94, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB94)) | (~(((~v84(constB94, 0)) <=> v123(constB94, 0)) | ((~v84(constB94, 2)) <=> v123(constB94, 2)) | ((~v84(constB94, 1)) <=> v123(constB94, 1)))))),
% 15.17/10.35 inference(rewrite,[status(thm)],[])).
% 15.17/10.35 tff(12216,plain,
% 15.17/10.35 (((~v94(constB94)) | (~(((~v84(constB94, 2)) <=> v123(constB94, 2)) | ((~v84(constB94, 1)) <=> v123(constB94, 1)) | ((~v84(constB94, 0)) <=> v123(constB94, 0))))) <=> ((~v94(constB94)) | (~(((~v84(constB94, 0)) <=> v123(constB94, 0)) | ((~v84(constB94, 2)) <=> v123(constB94, 2)) | ((~v84(constB94, 1)) <=> v123(constB94, 1)))))),
% 15.17/10.35 inference(rewrite,[status(thm)],[])).
% 15.17/10.35 tff(12217,plain,
% 15.17/10.35 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB94)) | (~(((~v84(constB94, 2)) <=> v123(constB94, 2)) | ((~v84(constB94, 1)) <=> v123(constB94, 1)) | ((~v84(constB94, 0)) <=> v123(constB94, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB94)) | (~(((~v84(constB94, 0)) <=> v123(constB94, 0)) | ((~v84(constB94, 2)) <=> v123(constB94, 2)) | ((~v84(constB94, 1)) <=> v123(constB94, 1))))))),
% 15.17/10.35 inference(monotonicity,[status(thm)],[12216])).
% 15.17/10.35 tff(12218,plain,
% 15.17/10.35 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB94)) | (~(((~v84(constB94, 2)) <=> v123(constB94, 2)) | ((~v84(constB94, 1)) <=> v123(constB94, 1)) | ((~v84(constB94, 0)) <=> v123(constB94, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB94)) | (~(((~v84(constB94, 0)) <=> v123(constB94, 0)) | ((~v84(constB94, 2)) <=> v123(constB94, 2)) | ((~v84(constB94, 1)) <=> v123(constB94, 1)))))),
% 15.17/10.35 inference(transitivity,[status(thm)],[12217, 12215])).
% 15.17/10.35 tff(12219,plain,
% 15.17/10.35 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB94)) | (~(((~v84(constB94, 2)) <=> v123(constB94, 2)) | ((~v84(constB94, 1)) <=> v123(constB94, 1)) | ((~v84(constB94, 0)) <=> v123(constB94, 0)))))),
% 15.17/10.35 inference(quant_inst,[status(thm)],[])).
% 15.17/10.35 tff(12220,plain,
% 15.17/10.35 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB94)) | (~(((~v84(constB94, 0)) <=> v123(constB94, 0)) | ((~v84(constB94, 2)) <=> v123(constB94, 2)) | ((~v84(constB94, 1)) <=> v123(constB94, 1))))),
% 15.17/10.35 inference(modus_ponens,[status(thm)],[12219, 12218])).
% 15.17/10.35 tff(12221,plain,
% 15.17/10.35 ((~v94(constB94)) | (~(((~v84(constB94, 0)) <=> v123(constB94, 0)) | ((~v84(constB94, 2)) <=> v123(constB94, 2)) | ((~v84(constB94, 1)) <=> v123(constB94, 1))))),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12220, 2517])).
% 15.17/10.35 tff(12222,plain,
% 15.17/10.35 (~(((~v84(constB94, 0)) <=> v123(constB94, 0)) | ((~v84(constB94, 2)) <=> v123(constB94, 2)) | ((~v84(constB94, 1)) <=> v123(constB94, 1)))),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12221, 12214])).
% 15.17/10.35 tff(12223,plain,
% 15.17/10.35 ((((~v84(constB94, 0)) <=> v123(constB94, 0)) | ((~v84(constB94, 2)) <=> v123(constB94, 2)) | ((~v84(constB94, 1)) <=> v123(constB94, 1))) | (~((~v84(constB94, 0)) <=> v123(constB94, 0)))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12224,plain,
% 15.17/10.35 (~((~v84(constB94, 0)) <=> v123(constB94, 0))),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12223, 12222])).
% 15.17/10.35 tff(12225,plain,
% 15.17/10.35 (((~v84(constB94, 0)) <=> v123(constB94, 0)) | (~v84(constB94, 0)) | v123(constB94, 0)),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12226,plain,
% 15.17/10.35 (~v84(constB94, 0)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12225, 12224, 12136])).
% 15.17/10.35 tff(12227,plain,
% 15.17/10.35 (((~v84(constB95, 0)) <=> v84(constB94, 0)) | (~v84(constB95, 0)) | v84(constB94, 0)),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12228,plain,
% 15.17/10.35 (~v84(constB95, 0)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12227, 12226, 6542])).
% 15.17/10.35 tff(12229,plain,
% 15.17/10.35 ((v84(constB95, 1) | v84(constB95, 2) | (~v84(constB95, 0))) | v84(constB95, 0)),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12230,plain,
% 15.17/10.35 (v84(constB95, 1) | v84(constB95, 2) | (~v84(constB95, 0))),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12229, 12228])).
% 15.17/10.35 tff(12231,plain,
% 15.17/10.35 ((~(v114(constB95) <=> (~(v84(constB95, 1) | v84(constB95, 2) | (~v84(constB95, 0)))))) | (~v114(constB95)) | (~(v84(constB95, 1) | v84(constB95, 2) | (~v84(constB95, 0))))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12232,plain,
% 15.17/10.35 (~v114(constB95)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12231, 12230, 6506])).
% 15.17/10.35 tff(12233,plain,
% 15.17/10.35 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB95) <=> (~(v84(constB95, 1) | (~v84(constB95, 2)) | (~v84(constB95, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB95) <=> (~(v84(constB95, 1) | (~v84(constB95, 2)) | (~v84(constB95, 0))))))),
% 15.17/10.35 inference(rewrite,[status(thm)],[])).
% 15.17/10.35 tff(12234,plain,
% 15.17/10.35 ((v118(constB95) <=> (~(v84(constB95, 1) | (~v84(constB95, 0)) | (~v84(constB95, 2))))) <=> (v118(constB95) <=> (~(v84(constB95, 1) | (~v84(constB95, 2)) | (~v84(constB95, 0)))))),
% 15.17/10.35 inference(rewrite,[status(thm)],[])).
% 15.17/10.35 tff(12235,plain,
% 15.17/10.35 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB95) <=> (~(v84(constB95, 1) | (~v84(constB95, 0)) | (~v84(constB95, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB95) <=> (~(v84(constB95, 1) | (~v84(constB95, 2)) | (~v84(constB95, 0))))))),
% 15.17/10.35 inference(monotonicity,[status(thm)],[12234])).
% 15.17/10.35 tff(12236,plain,
% 15.17/10.35 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB95) <=> (~(v84(constB95, 1) | (~v84(constB95, 0)) | (~v84(constB95, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB95) <=> (~(v84(constB95, 1) | (~v84(constB95, 2)) | (~v84(constB95, 0))))))),
% 15.17/10.35 inference(transitivity,[status(thm)],[12235, 12233])).
% 15.17/10.35 tff(12237,plain,
% 15.17/10.35 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB95) <=> (~(v84(constB95, 1) | (~v84(constB95, 0)) | (~v84(constB95, 2)))))),
% 15.17/10.35 inference(quant_inst,[status(thm)],[])).
% 15.17/10.35 tff(12238,plain,
% 15.17/10.35 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB95) <=> (~(v84(constB95, 1) | (~v84(constB95, 2)) | (~v84(constB95, 0)))))),
% 15.17/10.35 inference(modus_ponens,[status(thm)],[12237, 12236])).
% 15.17/10.35 tff(12239,plain,
% 15.17/10.35 (v118(constB95) <=> (~(v84(constB95, 1) | (~v84(constB95, 2)) | (~v84(constB95, 0))))),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12238, 2701])).
% 15.17/10.35 tff(12240,plain,
% 15.17/10.35 ((v84(constB95, 1) | (~v84(constB95, 2)) | (~v84(constB95, 0))) | v84(constB95, 0)),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12241,plain,
% 15.17/10.35 (v84(constB95, 1) | (~v84(constB95, 2)) | (~v84(constB95, 0))),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12240, 12228])).
% 15.17/10.35 tff(12242,plain,
% 15.17/10.35 ((~(v118(constB95) <=> (~(v84(constB95, 1) | (~v84(constB95, 2)) | (~v84(constB95, 0)))))) | (~v118(constB95)) | (~(v84(constB95, 1) | (~v84(constB95, 2)) | (~v84(constB95, 0))))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12243,plain,
% 15.17/10.35 (~v118(constB95)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12242, 12241, 12239])).
% 15.17/10.35 tff(12244,plain,
% 15.17/10.35 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB95) <=> (~(v84(constB95, 1) | v84(constB95, 0) | (~v84(constB95, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB95) <=> (~(v84(constB95, 1) | v84(constB95, 0) | (~v84(constB95, 2))))))),
% 15.17/10.35 inference(rewrite,[status(thm)],[])).
% 15.17/10.35 tff(12245,plain,
% 15.17/10.35 ((v117(constB95) <=> (~(v84(constB95, 0) | v84(constB95, 1) | (~v84(constB95, 2))))) <=> (v117(constB95) <=> (~(v84(constB95, 1) | v84(constB95, 0) | (~v84(constB95, 2)))))),
% 15.17/10.35 inference(rewrite,[status(thm)],[])).
% 15.17/10.35 tff(12246,plain,
% 15.17/10.35 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB95) <=> (~(v84(constB95, 0) | v84(constB95, 1) | (~v84(constB95, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB95) <=> (~(v84(constB95, 1) | v84(constB95, 0) | (~v84(constB95, 2))))))),
% 15.17/10.35 inference(monotonicity,[status(thm)],[12245])).
% 15.17/10.35 tff(12247,plain,
% 15.17/10.35 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB95) <=> (~(v84(constB95, 0) | v84(constB95, 1) | (~v84(constB95, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB95) <=> (~(v84(constB95, 1) | v84(constB95, 0) | (~v84(constB95, 2))))))),
% 15.17/10.35 inference(transitivity,[status(thm)],[12246, 12244])).
% 15.17/10.35 tff(12248,plain,
% 15.17/10.35 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB95) <=> (~(v84(constB95, 0) | v84(constB95, 1) | (~v84(constB95, 2)))))),
% 15.17/10.35 inference(quant_inst,[status(thm)],[])).
% 15.17/10.35 tff(12249,plain,
% 15.17/10.35 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB95) <=> (~(v84(constB95, 1) | v84(constB95, 0) | (~v84(constB95, 2)))))),
% 15.17/10.35 inference(modus_ponens,[status(thm)],[12248, 12247])).
% 15.17/10.35 tff(12250,plain,
% 15.17/10.35 (v117(constB95) <=> (~(v84(constB95, 1) | v84(constB95, 0) | (~v84(constB95, 2))))),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12249, 1199])).
% 15.17/10.35 tff(12251,plain,
% 15.17/10.35 ((((~v84(constB95, 1)) <=> v84(constB94, 1)) | ((~v84(constB95, 2)) <=> v84(constB94, 2)) | ((~v84(constB95, 0)) <=> v84(constB94, 0))) | (~((~v84(constB95, 1)) <=> v84(constB94, 1)))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12252,plain,
% 15.17/10.35 (~((~v84(constB95, 1)) <=> v84(constB94, 1))),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12251, 6540])).
% 15.17/10.35 tff(12253,plain,
% 15.17/10.35 ((((~v123(constB94, 2)) <=> v121(constB93, 2)) | ((~v123(constB94, 1)) <=> v121(constB93, 1)) | ((~v123(constB94, 0)) <=> v121(constB93, 0))) | (~((~v123(constB94, 1)) <=> v121(constB93, 1)))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12254,plain,
% 15.17/10.35 (~((~v123(constB94, 1)) <=> v121(constB93, 1))),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12253, 6549])).
% 15.17/10.35 tff(12255,plain,
% 15.17/10.35 ((((~v121(constB93, 2)) <=> v124(constB93, 2)) | ((~v121(constB93, 0)) <=> v124(constB93, 0)) | ((~v121(constB93, 1)) <=> v124(constB93, 1))) | (~((~v121(constB93, 1)) <=> v124(constB93, 1)))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12256,plain,
% 15.17/10.35 (~((~v121(constB93, 1)) <=> v124(constB93, 1))),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12255, 6563])).
% 15.17/10.35 tff(12257,plain,
% 15.17/10.35 ((v124(constB93, 0) | (~v124(constB93, 2)) | (~v124(constB93, 1))) | v124(constB93, 1)),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12258,plain,
% 15.17/10.35 (v124(constB93, 1)),
% 15.17/10.35 inference(unit_resolution,[status(thm)],[12257, 12130])).
% 15.17/10.35 tff(12259,plain,
% 15.17/10.35 (((~v121(constB93, 1)) <=> v124(constB93, 1)) | v121(constB93, 1) | (~v124(constB93, 1))),
% 15.17/10.35 inference(tautology,[status(thm)],[])).
% 15.17/10.35 tff(12260,plain,
% 15.17/10.35 (v121(constB93, 1)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12259, 12258, 12256])).
% 15.17/10.36 tff(12261,plain,
% 15.17/10.36 (((~v123(constB94, 1)) <=> v121(constB93, 1)) | v123(constB94, 1) | (~v121(constB93, 1))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12262,plain,
% 15.17/10.36 (v123(constB94, 1)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12261, 12260, 12254])).
% 15.17/10.36 tff(12263,plain,
% 15.17/10.36 ((((~v84(constB94, 0)) <=> v123(constB94, 0)) | ((~v84(constB94, 2)) <=> v123(constB94, 2)) | ((~v84(constB94, 1)) <=> v123(constB94, 1))) | (~((~v84(constB94, 1)) <=> v123(constB94, 1)))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12264,plain,
% 15.17/10.36 (~((~v84(constB94, 1)) <=> v123(constB94, 1))),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12263, 12222])).
% 15.17/10.36 tff(12265,plain,
% 15.17/10.36 (((~v84(constB94, 1)) <=> v123(constB94, 1)) | v84(constB94, 1) | (~v123(constB94, 1))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12266,plain,
% 15.17/10.36 (v84(constB94, 1)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12265, 12264, 12262])).
% 15.17/10.36 tff(12267,plain,
% 15.17/10.36 (((~v84(constB95, 1)) <=> v84(constB94, 1)) | v84(constB95, 1) | (~v84(constB94, 1))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12268,plain,
% 15.17/10.36 (v84(constB95, 1)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12267, 12266, 12252])).
% 15.17/10.36 tff(12269,plain,
% 15.17/10.36 ((v84(constB95, 1) | v84(constB95, 0) | (~v84(constB95, 2))) | (~v84(constB95, 1))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12270,plain,
% 15.17/10.36 (v84(constB95, 1) | v84(constB95, 0) | (~v84(constB95, 2))),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12269, 12268])).
% 15.17/10.36 tff(12271,plain,
% 15.17/10.36 ((~(v117(constB95) <=> (~(v84(constB95, 1) | v84(constB95, 0) | (~v84(constB95, 2)))))) | (~v117(constB95)) | (~(v84(constB95, 1) | v84(constB95, 0) | (~v84(constB95, 2))))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12272,plain,
% 15.17/10.36 (~v117(constB95)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12271, 12270, 12250])).
% 15.17/10.36 tff(12273,plain,
% 15.17/10.36 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB95) <=> (~(v84(constB95, 2) | (~v84(constB95, 1)) | (~v84(constB95, 0)))))),
% 15.17/10.36 inference(quant_inst,[status(thm)],[])).
% 15.17/10.36 tff(12274,plain,
% 15.17/10.36 (v116(constB95) <=> (~(v84(constB95, 2) | (~v84(constB95, 1)) | (~v84(constB95, 0))))),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12273, 911])).
% 15.17/10.36 tff(12275,plain,
% 15.17/10.36 ((v84(constB95, 2) | (~v84(constB95, 1)) | (~v84(constB95, 0))) | v84(constB95, 0)),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12276,plain,
% 15.17/10.36 (v84(constB95, 2) | (~v84(constB95, 1)) | (~v84(constB95, 0))),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12275, 12228])).
% 15.17/10.36 tff(12277,plain,
% 15.17/10.36 ((~(v116(constB95) <=> (~(v84(constB95, 2) | (~v84(constB95, 1)) | (~v84(constB95, 0)))))) | (~v116(constB95)) | (~(v84(constB95, 2) | (~v84(constB95, 1)) | (~v84(constB95, 0))))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12278,plain,
% 15.17/10.36 (~v116(constB95)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12277, 12276, 12274])).
% 15.17/10.36 tff(12279,plain,
% 15.17/10.36 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB95) <=> (~(v84(constB95, 2) | v84(constB95, 0) | (~v84(constB95, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB95) <=> (~(v84(constB95, 2) | v84(constB95, 0) | (~v84(constB95, 1))))))),
% 15.17/10.36 inference(rewrite,[status(thm)],[])).
% 15.17/10.36 tff(12280,plain,
% 15.17/10.36 ((v115(constB95) <=> (~(v84(constB95, 0) | v84(constB95, 2) | (~v84(constB95, 1))))) <=> (v115(constB95) <=> (~(v84(constB95, 2) | v84(constB95, 0) | (~v84(constB95, 1)))))),
% 15.17/10.36 inference(rewrite,[status(thm)],[])).
% 15.17/10.36 tff(12281,plain,
% 15.17/10.36 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB95) <=> (~(v84(constB95, 0) | v84(constB95, 2) | (~v84(constB95, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB95) <=> (~(v84(constB95, 2) | v84(constB95, 0) | (~v84(constB95, 1))))))),
% 15.17/10.36 inference(monotonicity,[status(thm)],[12280])).
% 15.17/10.36 tff(12282,plain,
% 15.17/10.36 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB95) <=> (~(v84(constB95, 0) | v84(constB95, 2) | (~v84(constB95, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB95) <=> (~(v84(constB95, 2) | v84(constB95, 0) | (~v84(constB95, 1))))))),
% 15.17/10.36 inference(transitivity,[status(thm)],[12281, 12279])).
% 15.17/10.36 tff(12283,plain,
% 15.17/10.36 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB95) <=> (~(v84(constB95, 0) | v84(constB95, 2) | (~v84(constB95, 1)))))),
% 15.17/10.36 inference(quant_inst,[status(thm)],[])).
% 15.17/10.36 tff(12284,plain,
% 15.17/10.36 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB95) <=> (~(v84(constB95, 2) | v84(constB95, 0) | (~v84(constB95, 1)))))),
% 15.17/10.36 inference(modus_ponens,[status(thm)],[12283, 12282])).
% 15.17/10.36 tff(12285,plain,
% 15.17/10.36 (v115(constB95) <=> (~(v84(constB95, 2) | v84(constB95, 0) | (~v84(constB95, 1))))),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12284, 985])).
% 15.17/10.36 tff(12286,plain,
% 15.17/10.36 ((((~v84(constB95, 1)) <=> v84(constB94, 1)) | ((~v84(constB95, 2)) <=> v84(constB94, 2)) | ((~v84(constB95, 0)) <=> v84(constB94, 0))) | (~((~v84(constB95, 2)) <=> v84(constB94, 2)))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12287,plain,
% 15.17/10.36 (~((~v84(constB95, 2)) <=> v84(constB94, 2))),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12286, 6540])).
% 15.17/10.36 tff(12288,plain,
% 15.17/10.36 ((((~v123(constB94, 2)) <=> v121(constB93, 2)) | ((~v123(constB94, 1)) <=> v121(constB93, 1)) | ((~v123(constB94, 0)) <=> v121(constB93, 0))) | (~((~v123(constB94, 2)) <=> v121(constB93, 2)))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12289,plain,
% 15.17/10.36 (~((~v123(constB94, 2)) <=> v121(constB93, 2))),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12288, 6549])).
% 15.17/10.36 tff(12290,plain,
% 15.17/10.36 ((((~v121(constB93, 2)) <=> v124(constB93, 2)) | ((~v121(constB93, 0)) <=> v124(constB93, 0)) | ((~v121(constB93, 1)) <=> v124(constB93, 1))) | (~((~v121(constB93, 2)) <=> v124(constB93, 2)))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12291,plain,
% 15.17/10.36 (~((~v121(constB93, 2)) <=> v124(constB93, 2))),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12290, 6563])).
% 15.17/10.36 tff(12292,plain,
% 15.17/10.36 ((v124(constB93, 0) | (~v124(constB93, 2)) | (~v124(constB93, 1))) | v124(constB93, 2)),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12293,plain,
% 15.17/10.36 (v124(constB93, 2)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12292, 12130])).
% 15.17/10.36 tff(12294,plain,
% 15.17/10.36 (((~v121(constB93, 2)) <=> v124(constB93, 2)) | v121(constB93, 2) | (~v124(constB93, 2))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12295,plain,
% 15.17/10.36 (v121(constB93, 2)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12294, 12293, 12291])).
% 15.17/10.36 tff(12296,plain,
% 15.17/10.36 (((~v123(constB94, 2)) <=> v121(constB93, 2)) | v123(constB94, 2) | (~v121(constB93, 2))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12297,plain,
% 15.17/10.36 (v123(constB94, 2)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12296, 12295, 12289])).
% 15.17/10.36 tff(12298,plain,
% 15.17/10.36 ((((~v84(constB94, 0)) <=> v123(constB94, 0)) | ((~v84(constB94, 2)) <=> v123(constB94, 2)) | ((~v84(constB94, 1)) <=> v123(constB94, 1))) | (~((~v84(constB94, 2)) <=> v123(constB94, 2)))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12299,plain,
% 15.17/10.36 (~((~v84(constB94, 2)) <=> v123(constB94, 2))),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12298, 12222])).
% 15.17/10.36 tff(12300,plain,
% 15.17/10.36 (((~v84(constB94, 2)) <=> v123(constB94, 2)) | v84(constB94, 2) | (~v123(constB94, 2))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12301,plain,
% 15.17/10.36 (v84(constB94, 2)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12300, 12299, 12297])).
% 15.17/10.36 tff(12302,plain,
% 15.17/10.36 (((~v84(constB95, 2)) <=> v84(constB94, 2)) | v84(constB95, 2) | (~v84(constB94, 2))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12303,plain,
% 15.17/10.36 (v84(constB95, 2)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12302, 12301, 12287])).
% 15.17/10.36 tff(12304,plain,
% 15.17/10.36 ((v84(constB95, 2) | v84(constB95, 0) | (~v84(constB95, 1))) | (~v84(constB95, 2))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12305,plain,
% 15.17/10.36 (v84(constB95, 2) | v84(constB95, 0) | (~v84(constB95, 1))),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12304, 12303])).
% 15.17/10.36 tff(12306,plain,
% 15.17/10.36 ((~(v115(constB95) <=> (~(v84(constB95, 2) | v84(constB95, 0) | (~v84(constB95, 1)))))) | (~v115(constB95)) | (~(v84(constB95, 2) | v84(constB95, 0) | (~v84(constB95, 1))))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12307,plain,
% 15.17/10.36 (~v115(constB95)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12306, 12305, 12285])).
% 15.17/10.36 tff(12308,plain,
% 15.17/10.36 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB95) <=> (~(v84(constB95, 0) | v84(constB95, 1) | v84(constB95, 2))))),
% 15.17/10.36 inference(quant_inst,[status(thm)],[])).
% 15.17/10.36 tff(12309,plain,
% 15.17/10.36 (v113(constB95) <=> (~(v84(constB95, 0) | v84(constB95, 1) | v84(constB95, 2)))),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12308, 1466])).
% 15.17/10.36 tff(12310,plain,
% 15.17/10.36 ((v84(constB95, 0) | v84(constB95, 1) | v84(constB95, 2)) | (~v84(constB95, 2))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12311,plain,
% 15.17/10.36 (v84(constB95, 0) | v84(constB95, 1) | v84(constB95, 2)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12310, 12303])).
% 15.17/10.36 tff(12312,plain,
% 15.17/10.36 ((~(v113(constB95) <=> (~(v84(constB95, 0) | v84(constB95, 1) | v84(constB95, 2))))) | (~v113(constB95)) | (~(v84(constB95, 0) | v84(constB95, 1) | v84(constB95, 2)))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12313,plain,
% 15.17/10.36 (~v113(constB95)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12312, 12311, 12309])).
% 15.17/10.36 tff(12314,plain,
% 15.17/10.36 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB95) | v114(constB95) | v115(constB95) | v116(constB95) | v117(constB95) | v118(constB95) | (~(v124(constB95, 2) | v124(constB95, 1) | (~v124(constB95, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB95) | v114(constB95) | v115(constB95) | v116(constB95) | v117(constB95) | v118(constB95) | (~(v124(constB95, 2) | v124(constB95, 1) | (~v124(constB95, 0)))))),
% 15.17/10.36 inference(rewrite,[status(thm)],[])).
% 15.17/10.36 tff(12315,plain,
% 15.17/10.36 ((v118(constB95) | v117(constB95) | v116(constB95) | v115(constB95) | v114(constB95) | v113(constB95) | (~(v124(constB95, 2) | v124(constB95, 1) | (~v124(constB95, 0))))) <=> (v113(constB95) | v114(constB95) | v115(constB95) | v116(constB95) | v117(constB95) | v118(constB95) | (~(v124(constB95, 2) | v124(constB95, 1) | (~v124(constB95, 0)))))),
% 15.17/10.36 inference(rewrite,[status(thm)],[])).
% 15.17/10.36 tff(12316,plain,
% 15.17/10.36 ((~(v124(constB95, 1) | v124(constB95, 2) | (~v124(constB95, 0)))) <=> (~(v124(constB95, 2) | v124(constB95, 1) | (~v124(constB95, 0))))),
% 15.17/10.36 inference(rewrite,[status(thm)],[])).
% 15.17/10.36 tff(12317,plain,
% 15.17/10.36 ((v118(constB95) | v117(constB95) | v116(constB95) | v115(constB95) | v114(constB95) | v113(constB95) | (~(v124(constB95, 1) | v124(constB95, 2) | (~v124(constB95, 0))))) <=> (v118(constB95) | v117(constB95) | v116(constB95) | v115(constB95) | v114(constB95) | v113(constB95) | (~(v124(constB95, 2) | v124(constB95, 1) | (~v124(constB95, 0)))))),
% 15.17/10.36 inference(monotonicity,[status(thm)],[12316])).
% 15.17/10.36 tff(12318,plain,
% 15.17/10.36 ((v118(constB95) | v117(constB95) | v116(constB95) | v115(constB95) | v114(constB95) | v113(constB95) | (~(v124(constB95, 1) | v124(constB95, 2) | (~v124(constB95, 0))))) <=> (v113(constB95) | v114(constB95) | v115(constB95) | v116(constB95) | v117(constB95) | v118(constB95) | (~(v124(constB95, 2) | v124(constB95, 1) | (~v124(constB95, 0)))))),
% 15.17/10.36 inference(transitivity,[status(thm)],[12317, 12315])).
% 15.17/10.36 tff(12319,plain,
% 15.17/10.36 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB95) | v117(constB95) | v116(constB95) | v115(constB95) | v114(constB95) | v113(constB95) | (~(v124(constB95, 1) | v124(constB95, 2) | (~v124(constB95, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB95) | v114(constB95) | v115(constB95) | v116(constB95) | v117(constB95) | v118(constB95) | (~(v124(constB95, 2) | v124(constB95, 1) | (~v124(constB95, 0))))))),
% 15.17/10.36 inference(monotonicity,[status(thm)],[12318])).
% 15.17/10.36 tff(12320,plain,
% 15.17/10.36 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB95) | v117(constB95) | v116(constB95) | v115(constB95) | v114(constB95) | v113(constB95) | (~(v124(constB95, 1) | v124(constB95, 2) | (~v124(constB95, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB95) | v114(constB95) | v115(constB95) | v116(constB95) | v117(constB95) | v118(constB95) | (~(v124(constB95, 2) | v124(constB95, 1) | (~v124(constB95, 0)))))),
% 15.17/10.36 inference(transitivity,[status(thm)],[12319, 12314])).
% 15.17/10.36 tff(12321,plain,
% 15.17/10.36 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB95) | v117(constB95) | v116(constB95) | v115(constB95) | v114(constB95) | v113(constB95) | (~(v124(constB95, 1) | v124(constB95, 2) | (~v124(constB95, 0)))))),
% 15.17/10.36 inference(quant_inst,[status(thm)],[])).
% 15.17/10.36 tff(12322,plain,
% 15.17/10.36 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB95) | v114(constB95) | v115(constB95) | v116(constB95) | v117(constB95) | v118(constB95) | (~(v124(constB95, 2) | v124(constB95, 1) | (~v124(constB95, 0))))),
% 15.17/10.36 inference(modus_ponens,[status(thm)],[12321, 12320])).
% 15.17/10.36 tff(12323,plain,
% 15.17/10.36 (v113(constB95) | v114(constB95) | v115(constB95) | v116(constB95) | v117(constB95) | v118(constB95) | (~(v124(constB95, 2) | v124(constB95, 1) | (~v124(constB95, 0))))),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12322, 2777])).
% 15.17/10.36 tff(12324,plain,
% 15.17/10.36 (~(v124(constB95, 2) | v124(constB95, 1) | (~v124(constB95, 0)))),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12323, 12313, 12307, 12278, 12272, 12243, 12232])).
% 15.17/10.36 tff(12325,plain,
% 15.17/10.36 ((v124(constB95, 2) | v124(constB95, 1) | (~v124(constB95, 0))) | (~v124(constB95, 2))),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12326,plain,
% 15.17/10.36 (~v124(constB95, 2)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12325, 12324])).
% 15.17/10.36 tff(12327,plain,
% 15.17/10.36 (((~v121(constB95, 2)) <=> v124(constB95, 2)) | (~v121(constB95, 2)) | v124(constB95, 2)),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12328,plain,
% 15.17/10.36 (~v121(constB95, 2)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12327, 12326, 6504])).
% 15.17/10.36 tff(12329,plain,
% 15.17/10.36 (((~v123(constB96, 2)) <=> v121(constB95, 2)) | (~v123(constB96, 2)) | v121(constB95, 2)),
% 15.17/10.36 inference(tautology,[status(thm)],[])).
% 15.17/10.36 tff(12330,plain,
% 15.17/10.36 (~v123(constB96, 2)),
% 15.17/10.36 inference(unit_resolution,[status(thm)],[12329, 12328, 6490])).
% 15.17/10.36 tff(12331,plain,
% 15.17/10.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB95, constB96)) | (v94(constB96) <=> (~((~v95(constB96)) | (~v104(constB96))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB95, constB96)) | (v94(constB96) <=> (~((~v95(constB96)) | (~v104(constB96))))))),
% 15.17/10.37 inference(rewrite,[status(thm)],[])).
% 15.17/10.37 tff(12332,plain,
% 15.17/10.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB95, constB96)) | (v94(constB96) <=> (~((~v95(constB96)) | (~v104(constB96))))))),
% 15.17/10.37 inference(quant_inst,[status(thm)],[])).
% 15.17/10.37 tff(12333,plain,
% 15.17/10.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB95, constB96)) | (v94(constB96) <=> (~((~v95(constB96)) | (~v104(constB96)))))),
% 15.17/10.37 inference(modus_ponens,[status(thm)],[12332, 12331])).
% 15.17/10.37 tff(12334,plain,
% 15.17/10.37 (v94(constB96) <=> (~((~v95(constB96)) | (~v104(constB96))))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12333, 6484, 770])).
% 15.17/10.37 tff(12335,plain,
% 15.17/10.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96))))))),
% 15.17/10.37 inference(rewrite,[status(thm)],[])).
% 15.17/10.37 tff(12336,plain,
% 15.17/10.37 (((~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v96(constB96)) | (~v1(constB96)))))) <=> ((~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96))))))),
% 15.17/10.37 inference(rewrite,[status(thm)],[])).
% 15.17/10.37 tff(12337,plain,
% 15.17/10.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v96(constB96)) | (~v1(constB96))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96)))))))),
% 15.17/10.37 inference(monotonicity,[status(thm)],[12336])).
% 15.17/10.37 tff(12338,plain,
% 15.17/10.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v96(constB96)) | (~v1(constB96))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96))))))),
% 15.17/10.37 inference(transitivity,[status(thm)],[12337, 12335])).
% 15.17/10.37 tff(12339,plain,
% 15.17/10.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v96(constB96)) | (~v1(constB96))))))),
% 15.17/10.37 inference(quant_inst,[status(thm)],[])).
% 15.17/10.37 tff(12340,plain,
% 15.17/10.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96)))))),
% 15.17/10.37 inference(modus_ponens,[status(thm)],[12339, 12338])).
% 15.17/10.37 tff(12341,plain,
% 15.17/10.37 (v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96))))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12340, 6484, 790])).
% 15.17/10.37 tff(12342,plain,
% 15.17/10.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB95, constB96)) | ((~v96(constB96)) <=> v98(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB95, constB96)) | ((~v96(constB96)) <=> v98(constB96)))),
% 15.17/10.37 inference(rewrite,[status(thm)],[])).
% 15.17/10.37 tff(12343,plain,
% 15.17/10.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB95, constB96)) | ((~v96(constB96)) <=> v98(constB96)))),
% 15.17/10.37 inference(quant_inst,[status(thm)],[])).
% 15.17/10.37 tff(12344,plain,
% 15.17/10.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB95, constB96)) | ((~v96(constB96)) <=> v98(constB96))),
% 15.17/10.37 inference(modus_ponens,[status(thm)],[12343, 12342])).
% 15.17/10.37 tff(12345,plain,
% 15.17/10.37 ((~v96(constB96)) <=> v98(constB96)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12344, 6484, 2332])).
% 15.17/10.37 tff(12346,plain,
% 15.17/10.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB95, constB96)) | (v98(constB96) <=> v1(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB95, constB96)) | (v98(constB96) <=> v1(constB95)))),
% 15.17/10.37 inference(rewrite,[status(thm)],[])).
% 15.17/10.37 tff(12347,plain,
% 15.17/10.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB95, constB96)) | (v98(constB96) <=> v1(constB95)))),
% 15.17/10.37 inference(quant_inst,[status(thm)],[])).
% 15.17/10.37 tff(12348,plain,
% 15.17/10.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB95, constB96)) | (v98(constB96) <=> v1(constB95))),
% 15.17/10.37 inference(modus_ponens,[status(thm)],[12347, 12346])).
% 15.17/10.37 tff(12349,plain,
% 15.17/10.37 (v98(constB96) <=> v1(constB95)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12348, 6484, 2346])).
% 15.17/10.37 tff(12350,plain,
% 15.17/10.37 ((~(v98(constB96) <=> v1(constB95))) | (~v98(constB96)) | v1(constB95)),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12351,plain,
% 15.17/10.37 ((~(v98(constB96) <=> v1(constB95))) | (~v98(constB96))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12350, 6523])).
% 15.17/10.37 tff(12352,plain,
% 15.17/10.37 (~v98(constB96)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12351, 12349])).
% 15.17/10.37 tff(12353,plain,
% 15.17/10.37 ((~((~v96(constB96)) <=> v98(constB96))) | v96(constB96) | v98(constB96)),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12354,plain,
% 15.17/10.37 (v96(constB96)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12353, 12352, 12345])).
% 15.17/10.37 tff(12355,plain,
% 15.17/10.37 (v1(constB96) <=> v1(constB96)),
% 15.17/10.37 inference(rewrite,[status(thm)],[])).
% 15.17/10.37 tff(12356,axiom,(v1(constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_96')).
% 15.17/10.37 tff(12357,plain,
% 15.17/10.37 (v1(constB96)),
% 15.17/10.37 inference(modus_ponens,[status(thm)],[12356, 12355])).
% 15.17/10.37 tff(12358,plain,
% 15.17/10.37 ((~((~v1(constB96)) | (~v96(constB96)))) | (~v1(constB96)) | (~v96(constB96))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12359,plain,
% 15.17/10.37 ((~((~v1(constB96)) | (~v96(constB96)))) | (~v96(constB96))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12358, 12357])).
% 15.17/10.37 tff(12360,plain,
% 15.17/10.37 (~((~v1(constB96)) | (~v96(constB96)))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12359, 12354])).
% 15.17/10.37 tff(12361,plain,
% 15.17/10.37 ((~(v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96)))))) | v95(constB96) | ((~v1(constB96)) | (~v96(constB96)))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12362,plain,
% 15.17/10.37 (v95(constB96)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12361, 12360, 12341])).
% 15.17/10.37 tff(12363,plain,
% 15.17/10.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB95, constB96)) | (v104(constB96) <=> v102(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB95, constB96)) | (v104(constB96) <=> v102(constB95)))),
% 15.17/10.37 inference(rewrite,[status(thm)],[])).
% 15.17/10.37 tff(12364,plain,
% 15.17/10.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB95, constB96)) | (v104(constB96) <=> v102(constB95)))),
% 15.17/10.37 inference(quant_inst,[status(thm)],[])).
% 15.17/10.37 tff(12365,plain,
% 15.17/10.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB95, constB96)) | (v104(constB96) <=> v102(constB95))),
% 15.17/10.37 inference(modus_ponens,[status(thm)],[12364, 12363])).
% 15.17/10.37 tff(12366,plain,
% 15.17/10.37 (v104(constB96) <=> v102(constB95)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12365, 6484, 2373])).
% 15.17/10.37 tff(12367,plain,
% 15.17/10.37 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB95) <=> (v105(constB95) | v106(constB95)))),
% 15.17/10.37 inference(quant_inst,[status(thm)],[])).
% 15.17/10.37 tff(12368,plain,
% 15.17/10.37 (v102(constB95) <=> (v105(constB95) | v106(constB95))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12367, 2384])).
% 15.17/10.37 tff(12369,plain,
% 15.17/10.37 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB95) <=> (~((~v107(constB95)) | (~v120(constB95)))))),
% 15.17/10.37 inference(quant_inst,[status(thm)],[])).
% 15.17/10.37 tff(12370,plain,
% 15.17/10.37 (v106(constB95) <=> (~((~v107(constB95)) | (~v120(constB95))))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12369, 2396])).
% 15.17/10.37 tff(12371,plain,
% 15.17/10.37 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB95) <=> (v108(constB95) | v119(constB95)))),
% 15.17/10.37 inference(quant_inst,[status(thm)],[])).
% 15.17/10.37 tff(12372,plain,
% 15.17/10.37 (v107(constB95) <=> (v108(constB95) | v119(constB95))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12371, 2405])).
% 15.17/10.37 tff(12373,plain,
% 15.17/10.37 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB95) <=> (~(v84(constB95, 0) | (~v84(constB95, 1)) | (~v84(constB95, 2)))))),
% 15.17/10.37 inference(quant_inst,[status(thm)],[])).
% 15.17/10.37 tff(12374,plain,
% 15.17/10.37 (v119(constB95) <=> (~(v84(constB95, 0) | (~v84(constB95, 1)) | (~v84(constB95, 2))))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12373, 2849])).
% 15.17/10.37 tff(12375,plain,
% 15.17/10.37 ((~(v84(constB95, 0) | (~v84(constB95, 1)) | (~v84(constB95, 2)))) | v84(constB95, 0) | (~v84(constB95, 1)) | (~v84(constB95, 2))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12376,plain,
% 15.17/10.37 (~(v84(constB95, 0) | (~v84(constB95, 1)) | (~v84(constB95, 2)))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12375, 12268, 12228, 12303])).
% 15.17/10.37 tff(12377,plain,
% 15.17/10.37 ((~(v119(constB95) <=> (~(v84(constB95, 0) | (~v84(constB95, 1)) | (~v84(constB95, 2)))))) | v119(constB95) | (v84(constB95, 0) | (~v84(constB95, 1)) | (~v84(constB95, 2)))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12378,plain,
% 15.17/10.37 (v119(constB95)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12377, 12376, 12374])).
% 15.17/10.37 tff(12379,plain,
% 15.17/10.37 ((v108(constB95) | v119(constB95)) | (~v119(constB95))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12380,plain,
% 15.17/10.37 (v108(constB95) | v119(constB95)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12379, 12378])).
% 15.17/10.37 tff(12381,plain,
% 15.17/10.37 ((~(v107(constB95) <=> (v108(constB95) | v119(constB95)))) | v107(constB95) | (~(v108(constB95) | v119(constB95)))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12382,plain,
% 15.17/10.37 (v107(constB95)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12381, 12380, 12372])).
% 15.17/10.37 tff(12383,plain,
% 15.17/10.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB95)) <=> v105(constB95))),
% 15.17/10.37 inference(quant_inst,[status(thm)],[])).
% 15.17/10.37 tff(12384,plain,
% 15.17/10.37 ((~v120(constB95)) <=> v105(constB95)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12383, 2484])).
% 15.17/10.37 tff(12385,plain,
% 15.17/10.37 ((~((~v120(constB95)) <=> v105(constB95))) | v120(constB95) | v105(constB95)),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12386,plain,
% 15.17/10.37 ((~((~v120(constB95)) <=> v105(constB95))) | v120(constB95)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12385, 6497])).
% 15.17/10.37 tff(12387,plain,
% 15.17/10.37 (v120(constB95)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12386, 12384])).
% 15.17/10.37 tff(12388,plain,
% 15.17/10.37 ((~((~v107(constB95)) | (~v120(constB95)))) | (~v107(constB95)) | (~v120(constB95))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12389,plain,
% 15.17/10.37 ((~((~v107(constB95)) | (~v120(constB95)))) | (~v107(constB95))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12388, 12387])).
% 15.17/10.37 tff(12390,plain,
% 15.17/10.37 (~((~v107(constB95)) | (~v120(constB95)))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12389, 12382])).
% 15.17/10.37 tff(12391,plain,
% 15.17/10.37 ((~(v106(constB95) <=> (~((~v107(constB95)) | (~v120(constB95)))))) | v106(constB95) | ((~v107(constB95)) | (~v120(constB95)))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12392,plain,
% 15.17/10.37 (v106(constB95)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12391, 12390, 12370])).
% 15.17/10.37 tff(12393,plain,
% 15.17/10.37 ((v105(constB95) | v106(constB95)) | (~v106(constB95))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12394,plain,
% 15.17/10.37 (v105(constB95) | v106(constB95)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12393, 12392])).
% 15.17/10.37 tff(12395,plain,
% 15.17/10.37 ((~(v102(constB95) <=> (v105(constB95) | v106(constB95)))) | v102(constB95) | (~(v105(constB95) | v106(constB95)))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12396,plain,
% 15.17/10.37 (v102(constB95)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12395, 12394, 12368])).
% 15.17/10.37 tff(12397,plain,
% 15.17/10.37 ((~(v104(constB96) <=> v102(constB95))) | v104(constB96) | (~v102(constB95))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12398,plain,
% 15.17/10.37 (v104(constB96)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12397, 12396, 12366])).
% 15.17/10.37 tff(12399,plain,
% 15.17/10.37 ((~((~v95(constB96)) | (~v104(constB96)))) | (~v95(constB96)) | (~v104(constB96))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12400,plain,
% 15.17/10.37 (~((~v95(constB96)) | (~v104(constB96)))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12399, 12398, 12362])).
% 15.17/10.37 tff(12401,plain,
% 15.17/10.37 ((~(v94(constB96) <=> (~((~v95(constB96)) | (~v104(constB96)))))) | v94(constB96) | ((~v95(constB96)) | (~v104(constB96)))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12402,plain,
% 15.17/10.37 (v94(constB96)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12401, 12400, 12334])).
% 15.17/10.37 tff(12403,plain,
% 15.17/10.37 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB96)) | (~(((~v84(constB96, 2)) <=> v123(constB96, 2)) | ((~v84(constB96, 1)) <=> v123(constB96, 1)) | ((~v84(constB96, 0)) <=> v123(constB96, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB96)) | (~(((~v84(constB96, 2)) <=> v123(constB96, 2)) | ((~v84(constB96, 1)) <=> v123(constB96, 1)) | ((~v84(constB96, 0)) <=> v123(constB96, 0)))))),
% 15.17/10.37 inference(rewrite,[status(thm)],[])).
% 15.17/10.37 tff(12404,plain,
% 15.17/10.37 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB96)) | (~(((~v84(constB96, 2)) <=> v123(constB96, 2)) | ((~v84(constB96, 1)) <=> v123(constB96, 1)) | ((~v84(constB96, 0)) <=> v123(constB96, 0)))))),
% 15.17/10.37 inference(quant_inst,[status(thm)],[])).
% 15.17/10.37 tff(12405,plain,
% 15.17/10.37 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB96)) | (~(((~v84(constB96, 2)) <=> v123(constB96, 2)) | ((~v84(constB96, 1)) <=> v123(constB96, 1)) | ((~v84(constB96, 0)) <=> v123(constB96, 0))))),
% 15.17/10.37 inference(modus_ponens,[status(thm)],[12404, 12403])).
% 15.17/10.37 tff(12406,plain,
% 15.17/10.37 ((~v94(constB96)) | (~(((~v84(constB96, 2)) <=> v123(constB96, 2)) | ((~v84(constB96, 1)) <=> v123(constB96, 1)) | ((~v84(constB96, 0)) <=> v123(constB96, 0))))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12405, 2517])).
% 15.17/10.37 tff(12407,plain,
% 15.17/10.37 (~(((~v84(constB96, 2)) <=> v123(constB96, 2)) | ((~v84(constB96, 1)) <=> v123(constB96, 1)) | ((~v84(constB96, 0)) <=> v123(constB96, 0)))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12406, 12402])).
% 15.17/10.37 tff(12408,plain,
% 15.17/10.37 ((((~v84(constB96, 2)) <=> v123(constB96, 2)) | ((~v84(constB96, 1)) <=> v123(constB96, 1)) | ((~v84(constB96, 0)) <=> v123(constB96, 0))) | (~((~v84(constB96, 2)) <=> v123(constB96, 2)))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12409,plain,
% 15.17/10.37 (~((~v84(constB96, 2)) <=> v123(constB96, 2))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12408, 12407])).
% 15.17/10.37 tff(12410,plain,
% 15.17/10.37 (((~v84(constB96, 2)) <=> v123(constB96, 2)) | (~v84(constB96, 2)) | v123(constB96, 2)),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12411,plain,
% 15.17/10.37 (~v84(constB96, 2)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12410, 12409, 12330])).
% 15.17/10.37 tff(12412,plain,
% 15.17/10.37 (((~v84(constB97, 2)) <=> v84(constB96, 2)) | (~v84(constB97, 2)) | v84(constB96, 2)),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12413,plain,
% 15.17/10.37 (~v84(constB97, 2)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12412, 12411, 6481])).
% 15.17/10.37 tff(12414,plain,
% 15.17/10.37 ((((~v84(constB97, 1)) <=> v84(constB96, 1)) | ((~v84(constB97, 2)) <=> v84(constB96, 2)) | ((~v84(constB97, 0)) <=> v84(constB96, 0))) | (~((~v84(constB97, 0)) <=> v84(constB96, 0)))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12415,plain,
% 15.17/10.37 (~((~v84(constB97, 0)) <=> v84(constB96, 0))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12414, 6479])).
% 15.17/10.37 tff(12416,plain,
% 15.17/10.37 ((((~v123(constB96, 2)) <=> v121(constB95, 2)) | ((~v123(constB96, 1)) <=> v121(constB95, 1)) | ((~v123(constB96, 0)) <=> v121(constB95, 0))) | (~((~v123(constB96, 0)) <=> v121(constB95, 0)))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12417,plain,
% 15.17/10.37 (~((~v123(constB96, 0)) <=> v121(constB95, 0))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12416, 6488])).
% 15.17/10.37 tff(12418,plain,
% 15.17/10.37 ((((~v121(constB95, 2)) <=> v124(constB95, 2)) | ((~v121(constB95, 0)) <=> v124(constB95, 0)) | ((~v121(constB95, 1)) <=> v124(constB95, 1))) | (~((~v121(constB95, 0)) <=> v124(constB95, 0)))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12419,plain,
% 15.17/10.37 (~((~v121(constB95, 0)) <=> v124(constB95, 0))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12418, 6502])).
% 15.17/10.37 tff(12420,plain,
% 15.17/10.37 ((v124(constB95, 2) | v124(constB95, 1) | (~v124(constB95, 0))) | v124(constB95, 0)),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12421,plain,
% 15.17/10.37 (v124(constB95, 0)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12420, 12324])).
% 15.17/10.37 tff(12422,plain,
% 15.17/10.37 (((~v121(constB95, 0)) <=> v124(constB95, 0)) | v121(constB95, 0) | (~v124(constB95, 0))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12423,plain,
% 15.17/10.37 (v121(constB95, 0)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12422, 12421, 12419])).
% 15.17/10.37 tff(12424,plain,
% 15.17/10.37 (((~v123(constB96, 0)) <=> v121(constB95, 0)) | v123(constB96, 0) | (~v121(constB95, 0))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12425,plain,
% 15.17/10.37 (v123(constB96, 0)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12424, 12423, 12417])).
% 15.17/10.37 tff(12426,plain,
% 15.17/10.37 ((((~v84(constB96, 2)) <=> v123(constB96, 2)) | ((~v84(constB96, 1)) <=> v123(constB96, 1)) | ((~v84(constB96, 0)) <=> v123(constB96, 0))) | (~((~v84(constB96, 0)) <=> v123(constB96, 0)))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12427,plain,
% 15.17/10.37 (~((~v84(constB96, 0)) <=> v123(constB96, 0))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12426, 12407])).
% 15.17/10.37 tff(12428,plain,
% 15.17/10.37 (((~v84(constB96, 0)) <=> v123(constB96, 0)) | v84(constB96, 0) | (~v123(constB96, 0))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12429,plain,
% 15.17/10.37 (v84(constB96, 0)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12428, 12427, 12425])).
% 15.17/10.37 tff(12430,plain,
% 15.17/10.37 (((~v84(constB97, 0)) <=> v84(constB96, 0)) | v84(constB97, 0) | (~v84(constB96, 0))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12431,plain,
% 15.17/10.37 (v84(constB97, 0)),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12430, 12429, 12415])).
% 15.17/10.37 tff(12432,plain,
% 15.17/10.37 ((((~v84(constB97, 1)) <=> v84(constB96, 1)) | ((~v84(constB97, 2)) <=> v84(constB96, 2)) | ((~v84(constB97, 0)) <=> v84(constB96, 0))) | (~((~v84(constB97, 1)) <=> v84(constB96, 1)))),
% 15.17/10.37 inference(tautology,[status(thm)],[])).
% 15.17/10.37 tff(12433,plain,
% 15.17/10.37 (~((~v84(constB97, 1)) <=> v84(constB96, 1))),
% 15.17/10.37 inference(unit_resolution,[status(thm)],[12432, 6479])).
% 15.17/10.37 tff(12434,plain,
% 15.17/10.37 ((((~v123(constB96, 2)) <=> v121(constB95, 2)) | ((~v123(constB96, 1)) <=> v121(constB95, 1)) | ((~v123(constB96, 0)) <=> v121(constB95, 0))) | (~((~v123(constB96, 1)) <=> v121(constB95, 1)))),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12435,plain,
% 15.17/10.38 (~((~v123(constB96, 1)) <=> v121(constB95, 1))),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12434, 6488])).
% 15.17/10.38 tff(12436,plain,
% 15.17/10.38 ((((~v121(constB95, 2)) <=> v124(constB95, 2)) | ((~v121(constB95, 0)) <=> v124(constB95, 0)) | ((~v121(constB95, 1)) <=> v124(constB95, 1))) | (~((~v121(constB95, 1)) <=> v124(constB95, 1)))),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12437,plain,
% 15.17/10.38 (~((~v121(constB95, 1)) <=> v124(constB95, 1))),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12436, 6502])).
% 15.17/10.38 tff(12438,plain,
% 15.17/10.38 ((v124(constB95, 2) | v124(constB95, 1) | (~v124(constB95, 0))) | (~v124(constB95, 1))),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12439,plain,
% 15.17/10.38 (~v124(constB95, 1)),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12438, 12324])).
% 15.17/10.38 tff(12440,plain,
% 15.17/10.38 (((~v121(constB95, 1)) <=> v124(constB95, 1)) | (~v121(constB95, 1)) | v124(constB95, 1)),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12441,plain,
% 15.17/10.38 (~v121(constB95, 1)),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12440, 12439, 12437])).
% 15.17/10.38 tff(12442,plain,
% 15.17/10.38 (((~v123(constB96, 1)) <=> v121(constB95, 1)) | (~v123(constB96, 1)) | v121(constB95, 1)),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12443,plain,
% 15.17/10.38 (~v123(constB96, 1)),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12442, 12441, 12435])).
% 15.17/10.38 tff(12444,plain,
% 15.17/10.38 ((((~v84(constB96, 2)) <=> v123(constB96, 2)) | ((~v84(constB96, 1)) <=> v123(constB96, 1)) | ((~v84(constB96, 0)) <=> v123(constB96, 0))) | (~((~v84(constB96, 1)) <=> v123(constB96, 1)))),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12445,plain,
% 15.17/10.38 (~((~v84(constB96, 1)) <=> v123(constB96, 1))),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12444, 12407])).
% 15.17/10.38 tff(12446,plain,
% 15.17/10.38 (((~v84(constB96, 1)) <=> v123(constB96, 1)) | (~v84(constB96, 1)) | v123(constB96, 1)),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12447,plain,
% 15.17/10.38 (~v84(constB96, 1)),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12446, 12445, 12443])).
% 15.17/10.38 tff(12448,plain,
% 15.17/10.38 (((~v84(constB97, 1)) <=> v84(constB96, 1)) | (~v84(constB97, 1)) | v84(constB96, 1)),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12449,plain,
% 15.17/10.38 (~v84(constB97, 1)),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12448, 12447, 12433])).
% 15.17/10.38 tff(12450,plain,
% 15.17/10.38 ((~(v84(constB97, 1) | v84(constB97, 2) | (~v84(constB97, 0)))) | v84(constB97, 1) | v84(constB97, 2) | (~v84(constB97, 0))),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12451,plain,
% 15.17/10.38 (~(v84(constB97, 1) | v84(constB97, 2) | (~v84(constB97, 0)))),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12450, 12449, 12431, 12413])).
% 15.17/10.38 tff(12452,plain,
% 15.17/10.38 ((~(v114(constB97) <=> (~(v84(constB97, 1) | v84(constB97, 2) | (~v84(constB97, 0)))))) | v114(constB97) | (v84(constB97, 1) | v84(constB97, 2) | (~v84(constB97, 0)))),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12453,plain,
% 15.17/10.38 (v114(constB97)),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12452, 12451, 6445])).
% 15.17/10.38 tff(12454,plain,
% 15.17/10.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB97)) | (~(v124(constB97, 2) | v124(constB97, 0) | (~v124(constB97, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB97)) | (~(v124(constB97, 2) | v124(constB97, 0) | (~v124(constB97, 1)))))),
% 15.17/10.38 inference(rewrite,[status(thm)],[])).
% 15.17/10.38 tff(12455,plain,
% 15.17/10.38 (((~v114(constB97)) | (~(v124(constB97, 0) | v124(constB97, 2) | (~v124(constB97, 1))))) <=> ((~v114(constB97)) | (~(v124(constB97, 2) | v124(constB97, 0) | (~v124(constB97, 1)))))),
% 15.17/10.38 inference(rewrite,[status(thm)],[])).
% 15.17/10.38 tff(12456,plain,
% 15.17/10.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB97)) | (~(v124(constB97, 0) | v124(constB97, 2) | (~v124(constB97, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB97)) | (~(v124(constB97, 2) | v124(constB97, 0) | (~v124(constB97, 1))))))),
% 15.17/10.38 inference(monotonicity,[status(thm)],[12455])).
% 15.17/10.38 tff(12457,plain,
% 15.17/10.38 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB97)) | (~(v124(constB97, 0) | v124(constB97, 2) | (~v124(constB97, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB97)) | (~(v124(constB97, 2) | v124(constB97, 0) | (~v124(constB97, 1)))))),
% 15.17/10.38 inference(transitivity,[status(thm)],[12456, 12454])).
% 15.17/10.38 tff(12458,plain,
% 15.17/10.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB97)) | (~(v124(constB97, 0) | v124(constB97, 2) | (~v124(constB97, 1)))))),
% 15.17/10.38 inference(quant_inst,[status(thm)],[])).
% 15.17/10.38 tff(12459,plain,
% 15.17/10.38 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB97)) | (~(v124(constB97, 2) | v124(constB97, 0) | (~v124(constB97, 1))))),
% 15.17/10.38 inference(modus_ponens,[status(thm)],[12458, 12457])).
% 15.17/10.38 tff(12460,plain,
% 15.17/10.38 ((~v114(constB97)) | (~(v124(constB97, 2) | v124(constB97, 0) | (~v124(constB97, 1))))),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12459, 2964])).
% 15.17/10.38 tff(12461,plain,
% 15.17/10.38 (~(v124(constB97, 2) | v124(constB97, 0) | (~v124(constB97, 1)))),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12460, 12453])).
% 15.17/10.38 tff(12462,plain,
% 15.17/10.38 ((v124(constB97, 2) | v124(constB97, 0) | (~v124(constB97, 1))) | (~v124(constB97, 2))),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12463,plain,
% 15.17/10.38 (~v124(constB97, 2)),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12462, 12461])).
% 15.17/10.38 tff(12464,plain,
% 15.17/10.38 (((~v121(constB97, 2)) <=> v124(constB97, 2)) | (~v121(constB97, 2)) | v124(constB97, 2)),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12465,plain,
% 15.17/10.38 (~v121(constB97, 2)),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12464, 12463, 6443])).
% 15.17/10.38 tff(12466,plain,
% 15.17/10.38 (((~v123(constB98, 2)) <=> v121(constB97, 2)) | (~v123(constB98, 2)) | v121(constB97, 2)),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12467,plain,
% 15.17/10.38 (~v123(constB98, 2)),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12466, 12465, 6429])).
% 15.17/10.38 tff(12468,plain,
% 15.17/10.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB97, constB98)) | (v94(constB98) <=> (~((~v95(constB98)) | (~v104(constB98))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB97, constB98)) | (v94(constB98) <=> (~((~v95(constB98)) | (~v104(constB98))))))),
% 15.17/10.38 inference(rewrite,[status(thm)],[])).
% 15.17/10.38 tff(12469,plain,
% 15.17/10.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB97, constB98)) | (v94(constB98) <=> (~((~v95(constB98)) | (~v104(constB98))))))),
% 15.17/10.38 inference(quant_inst,[status(thm)],[])).
% 15.17/10.38 tff(12470,plain,
% 15.17/10.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB97, constB98)) | (v94(constB98) <=> (~((~v95(constB98)) | (~v104(constB98)))))),
% 15.17/10.38 inference(modus_ponens,[status(thm)],[12469, 12468])).
% 15.17/10.38 tff(12471,plain,
% 15.17/10.38 (v94(constB98) <=> (~((~v95(constB98)) | (~v104(constB98))))),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12470, 6423, 770])).
% 15.17/10.38 tff(12472,plain,
% 15.17/10.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98))))))),
% 15.17/10.38 inference(rewrite,[status(thm)],[])).
% 15.17/10.38 tff(12473,plain,
% 15.17/10.38 (((~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v96(constB98)) | (~v1(constB98)))))) <=> ((~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98))))))),
% 15.17/10.38 inference(rewrite,[status(thm)],[])).
% 15.17/10.38 tff(12474,plain,
% 15.17/10.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v96(constB98)) | (~v1(constB98))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98)))))))),
% 15.17/10.38 inference(monotonicity,[status(thm)],[12473])).
% 15.17/10.38 tff(12475,plain,
% 15.17/10.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v96(constB98)) | (~v1(constB98))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98))))))),
% 15.17/10.38 inference(transitivity,[status(thm)],[12474, 12472])).
% 15.17/10.38 tff(12476,plain,
% 15.17/10.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v96(constB98)) | (~v1(constB98))))))),
% 15.17/10.38 inference(quant_inst,[status(thm)],[])).
% 15.17/10.38 tff(12477,plain,
% 15.17/10.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98)))))),
% 15.17/10.38 inference(modus_ponens,[status(thm)],[12476, 12475])).
% 15.17/10.38 tff(12478,plain,
% 15.17/10.38 (v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98))))),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12477, 6423, 790])).
% 15.17/10.38 tff(12479,plain,
% 15.17/10.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB97, constB98)) | ((~v96(constB98)) <=> v98(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB97, constB98)) | ((~v96(constB98)) <=> v98(constB98)))),
% 15.17/10.38 inference(rewrite,[status(thm)],[])).
% 15.17/10.38 tff(12480,plain,
% 15.17/10.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB97, constB98)) | ((~v96(constB98)) <=> v98(constB98)))),
% 15.17/10.38 inference(quant_inst,[status(thm)],[])).
% 15.17/10.38 tff(12481,plain,
% 15.17/10.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB97, constB98)) | ((~v96(constB98)) <=> v98(constB98))),
% 15.17/10.38 inference(modus_ponens,[status(thm)],[12480, 12479])).
% 15.17/10.38 tff(12482,plain,
% 15.17/10.38 ((~v96(constB98)) <=> v98(constB98)),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12481, 6423, 2332])).
% 15.17/10.38 tff(12483,plain,
% 15.17/10.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB97, constB98)) | (v98(constB98) <=> v1(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB97, constB98)) | (v98(constB98) <=> v1(constB97)))),
% 15.17/10.38 inference(rewrite,[status(thm)],[])).
% 15.17/10.38 tff(12484,plain,
% 15.17/10.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB97, constB98)) | (v98(constB98) <=> v1(constB97)))),
% 15.17/10.38 inference(quant_inst,[status(thm)],[])).
% 15.17/10.38 tff(12485,plain,
% 15.17/10.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB97, constB98)) | (v98(constB98) <=> v1(constB97))),
% 15.17/10.38 inference(modus_ponens,[status(thm)],[12484, 12483])).
% 15.17/10.38 tff(12486,plain,
% 15.17/10.38 (v98(constB98) <=> v1(constB97)),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12485, 6423, 2346])).
% 15.17/10.38 tff(12487,plain,
% 15.17/10.38 ((~(v98(constB98) <=> v1(constB97))) | (~v98(constB98)) | v1(constB97)),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12488,plain,
% 15.17/10.38 ((~(v98(constB98) <=> v1(constB97))) | (~v98(constB98))),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12487, 6462])).
% 15.17/10.38 tff(12489,plain,
% 15.17/10.38 (~v98(constB98)),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12488, 12486])).
% 15.17/10.38 tff(12490,plain,
% 15.17/10.38 ((~((~v96(constB98)) <=> v98(constB98))) | v96(constB98) | v98(constB98)),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12491,plain,
% 15.17/10.38 (v96(constB98)),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12490, 12489, 12482])).
% 15.17/10.38 tff(12492,plain,
% 15.17/10.38 (v1(constB98) <=> v1(constB98)),
% 15.17/10.38 inference(rewrite,[status(thm)],[])).
% 15.17/10.38 tff(12493,axiom,(v1(constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_98')).
% 15.17/10.38 tff(12494,plain,
% 15.17/10.38 (v1(constB98)),
% 15.17/10.38 inference(modus_ponens,[status(thm)],[12493, 12492])).
% 15.17/10.38 tff(12495,plain,
% 15.17/10.38 ((~((~v1(constB98)) | (~v96(constB98)))) | (~v1(constB98)) | (~v96(constB98))),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12496,plain,
% 15.17/10.38 ((~((~v1(constB98)) | (~v96(constB98)))) | (~v96(constB98))),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12495, 12494])).
% 15.17/10.38 tff(12497,plain,
% 15.17/10.38 (~((~v1(constB98)) | (~v96(constB98)))),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12496, 12491])).
% 15.17/10.38 tff(12498,plain,
% 15.17/10.38 ((~(v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98)))))) | v95(constB98) | ((~v1(constB98)) | (~v96(constB98)))),
% 15.17/10.38 inference(tautology,[status(thm)],[])).
% 15.17/10.38 tff(12499,plain,
% 15.17/10.38 (v95(constB98)),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12498, 12497, 12478])).
% 15.17/10.38 tff(12500,plain,
% 15.17/10.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB97, constB98)) | (v104(constB98) <=> v102(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB97, constB98)) | (v104(constB98) <=> v102(constB97)))),
% 15.17/10.38 inference(rewrite,[status(thm)],[])).
% 15.17/10.38 tff(12501,plain,
% 15.17/10.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB97, constB98)) | (v104(constB98) <=> v102(constB97)))),
% 15.17/10.38 inference(quant_inst,[status(thm)],[])).
% 15.17/10.38 tff(12502,plain,
% 15.17/10.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB97, constB98)) | (v104(constB98) <=> v102(constB97))),
% 15.17/10.38 inference(modus_ponens,[status(thm)],[12501, 12500])).
% 15.17/10.38 tff(12503,plain,
% 15.17/10.38 (v104(constB98) <=> v102(constB97)),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12502, 6423, 2373])).
% 15.17/10.38 tff(12504,plain,
% 15.17/10.38 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB97) <=> (v105(constB97) | v106(constB97)))),
% 15.17/10.38 inference(quant_inst,[status(thm)],[])).
% 15.17/10.38 tff(12505,plain,
% 15.17/10.38 (v102(constB97) <=> (v105(constB97) | v106(constB97))),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12504, 2384])).
% 15.17/10.38 tff(12506,plain,
% 15.17/10.38 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB97) <=> (~((~v107(constB97)) | (~v120(constB97)))))),
% 15.17/10.38 inference(quant_inst,[status(thm)],[])).
% 15.17/10.38 tff(12507,plain,
% 15.17/10.38 (v106(constB97) <=> (~((~v107(constB97)) | (~v120(constB97))))),
% 15.17/10.38 inference(unit_resolution,[status(thm)],[12506, 2396])).
% 15.17/10.38 tff(12508,plain,
% 15.17/10.38 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB97) <=> (v108(constB97) | v119(constB97)))),
% 15.17/10.38 inference(quant_inst,[status(thm)],[])).
% 15.17/10.38 tff(12509,plain,
% 15.17/10.38 (v107(constB97) <=> (v108(constB97) | v119(constB97))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12508, 2405])).
% 15.17/10.39 tff(12510,plain,
% 15.17/10.39 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB97) <=> (v109(constB97) | v118(constB97)))),
% 15.17/10.39 inference(quant_inst,[status(thm)],[])).
% 15.17/10.39 tff(12511,plain,
% 15.17/10.39 (v108(constB97) <=> (v109(constB97) | v118(constB97))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12510, 2414])).
% 15.17/10.39 tff(12512,plain,
% 15.17/10.39 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB97) <=> (v110(constB97) | v117(constB97)))),
% 15.17/10.39 inference(quant_inst,[status(thm)],[])).
% 15.17/10.39 tff(12513,plain,
% 15.17/10.39 (v109(constB97) <=> (v110(constB97) | v117(constB97))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12512, 2423])).
% 15.17/10.39 tff(12514,plain,
% 15.17/10.39 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB97) <=> (v111(constB97) | v116(constB97)))),
% 15.17/10.39 inference(quant_inst,[status(thm)],[])).
% 15.17/10.39 tff(12515,plain,
% 15.17/10.39 (v110(constB97) <=> (v111(constB97) | v116(constB97))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12514, 2432])).
% 15.17/10.39 tff(12516,plain,
% 15.17/10.39 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB97) <=> (v112(constB97) | v115(constB97)))),
% 15.17/10.39 inference(quant_inst,[status(thm)],[])).
% 15.17/10.39 tff(12517,plain,
% 15.17/10.39 (v111(constB97) <=> (v112(constB97) | v115(constB97))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12516, 2441])).
% 15.17/10.39 tff(12518,plain,
% 15.17/10.39 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB97) <=> (v113(constB97) | v114(constB97)))),
% 15.17/10.39 inference(quant_inst,[status(thm)],[])).
% 15.17/10.39 tff(12519,plain,
% 15.17/10.39 (v112(constB97) <=> (v113(constB97) | v114(constB97))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12518, 2450])).
% 15.17/10.39 tff(12520,plain,
% 15.17/10.39 ((v113(constB97) | v114(constB97)) | (~v114(constB97))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12521,plain,
% 15.17/10.39 (v113(constB97) | v114(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12520, 12453])).
% 15.17/10.39 tff(12522,plain,
% 15.17/10.39 ((~(v112(constB97) <=> (v113(constB97) | v114(constB97)))) | v112(constB97) | (~(v113(constB97) | v114(constB97)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12523,plain,
% 15.17/10.39 (v112(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12522, 12521, 12519])).
% 15.17/10.39 tff(12524,plain,
% 15.17/10.39 ((v112(constB97) | v115(constB97)) | (~v112(constB97))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12525,plain,
% 15.17/10.39 (v112(constB97) | v115(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12524, 12523])).
% 15.17/10.39 tff(12526,plain,
% 15.17/10.39 ((~(v111(constB97) <=> (v112(constB97) | v115(constB97)))) | v111(constB97) | (~(v112(constB97) | v115(constB97)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12527,plain,
% 15.17/10.39 (v111(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12526, 12525, 12517])).
% 15.17/10.39 tff(12528,plain,
% 15.17/10.39 ((v111(constB97) | v116(constB97)) | (~v111(constB97))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12529,plain,
% 15.17/10.39 (v111(constB97) | v116(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12528, 12527])).
% 15.17/10.39 tff(12530,plain,
% 15.17/10.39 ((~(v110(constB97) <=> (v111(constB97) | v116(constB97)))) | v110(constB97) | (~(v111(constB97) | v116(constB97)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12531,plain,
% 15.17/10.39 (v110(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12530, 12529, 12515])).
% 15.17/10.39 tff(12532,plain,
% 15.17/10.39 ((v110(constB97) | v117(constB97)) | (~v110(constB97))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12533,plain,
% 15.17/10.39 (v110(constB97) | v117(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12532, 12531])).
% 15.17/10.39 tff(12534,plain,
% 15.17/10.39 ((~(v109(constB97) <=> (v110(constB97) | v117(constB97)))) | v109(constB97) | (~(v110(constB97) | v117(constB97)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12535,plain,
% 15.17/10.39 (v109(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12534, 12533, 12513])).
% 15.17/10.39 tff(12536,plain,
% 15.17/10.39 ((v109(constB97) | v118(constB97)) | (~v109(constB97))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12537,plain,
% 15.17/10.39 (v109(constB97) | v118(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12536, 12535])).
% 15.17/10.39 tff(12538,plain,
% 15.17/10.39 ((~(v108(constB97) <=> (v109(constB97) | v118(constB97)))) | v108(constB97) | (~(v109(constB97) | v118(constB97)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12539,plain,
% 15.17/10.39 (v108(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12538, 12537, 12511])).
% 15.17/10.39 tff(12540,plain,
% 15.17/10.39 ((v108(constB97) | v119(constB97)) | (~v108(constB97))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12541,plain,
% 15.17/10.39 (v108(constB97) | v119(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12540, 12539])).
% 15.17/10.39 tff(12542,plain,
% 15.17/10.39 ((~(v107(constB97) <=> (v108(constB97) | v119(constB97)))) | v107(constB97) | (~(v108(constB97) | v119(constB97)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12543,plain,
% 15.17/10.39 (v107(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12542, 12541, 12509])).
% 15.17/10.39 tff(12544,plain,
% 15.17/10.39 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB97)) <=> v105(constB97))),
% 15.17/10.39 inference(quant_inst,[status(thm)],[])).
% 15.17/10.39 tff(12545,plain,
% 15.17/10.39 ((~v120(constB97)) <=> v105(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12544, 2484])).
% 15.17/10.39 tff(12546,plain,
% 15.17/10.39 ((~((~v120(constB97)) <=> v105(constB97))) | v120(constB97) | v105(constB97)),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12547,plain,
% 15.17/10.39 ((~((~v120(constB97)) <=> v105(constB97))) | v120(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12546, 6436])).
% 15.17/10.39 tff(12548,plain,
% 15.17/10.39 (v120(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12547, 12545])).
% 15.17/10.39 tff(12549,plain,
% 15.17/10.39 ((~((~v107(constB97)) | (~v120(constB97)))) | (~v107(constB97)) | (~v120(constB97))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12550,plain,
% 15.17/10.39 ((~((~v107(constB97)) | (~v120(constB97)))) | (~v107(constB97))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12549, 12548])).
% 15.17/10.39 tff(12551,plain,
% 15.17/10.39 (~((~v107(constB97)) | (~v120(constB97)))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12550, 12543])).
% 15.17/10.39 tff(12552,plain,
% 15.17/10.39 ((~(v106(constB97) <=> (~((~v107(constB97)) | (~v120(constB97)))))) | v106(constB97) | ((~v107(constB97)) | (~v120(constB97)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12553,plain,
% 15.17/10.39 (v106(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12552, 12551, 12507])).
% 15.17/10.39 tff(12554,plain,
% 15.17/10.39 ((v105(constB97) | v106(constB97)) | (~v106(constB97))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12555,plain,
% 15.17/10.39 (v105(constB97) | v106(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12554, 12553])).
% 15.17/10.39 tff(12556,plain,
% 15.17/10.39 ((~(v102(constB97) <=> (v105(constB97) | v106(constB97)))) | v102(constB97) | (~(v105(constB97) | v106(constB97)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12557,plain,
% 15.17/10.39 (v102(constB97)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12556, 12555, 12505])).
% 15.17/10.39 tff(12558,plain,
% 15.17/10.39 ((~(v104(constB98) <=> v102(constB97))) | v104(constB98) | (~v102(constB97))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12559,plain,
% 15.17/10.39 (v104(constB98)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12558, 12557, 12503])).
% 15.17/10.39 tff(12560,plain,
% 15.17/10.39 ((~((~v95(constB98)) | (~v104(constB98)))) | (~v95(constB98)) | (~v104(constB98))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12561,plain,
% 15.17/10.39 (~((~v95(constB98)) | (~v104(constB98)))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12560, 12559, 12499])).
% 15.17/10.39 tff(12562,plain,
% 15.17/10.39 ((~(v94(constB98) <=> (~((~v95(constB98)) | (~v104(constB98)))))) | v94(constB98) | ((~v95(constB98)) | (~v104(constB98)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12563,plain,
% 15.17/10.39 (v94(constB98)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12562, 12561, 12471])).
% 15.17/10.39 tff(12564,plain,
% 15.17/10.39 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB98)) | (~(((~v84(constB98, 0)) <=> v123(constB98, 0)) | ((~v84(constB98, 2)) <=> v123(constB98, 2)) | ((~v84(constB98, 1)) <=> v123(constB98, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB98)) | (~(((~v84(constB98, 0)) <=> v123(constB98, 0)) | ((~v84(constB98, 2)) <=> v123(constB98, 2)) | ((~v84(constB98, 1)) <=> v123(constB98, 1)))))),
% 15.17/10.39 inference(rewrite,[status(thm)],[])).
% 15.17/10.39 tff(12565,plain,
% 15.17/10.39 (((~v94(constB98)) | (~(((~v84(constB98, 2)) <=> v123(constB98, 2)) | ((~v84(constB98, 1)) <=> v123(constB98, 1)) | ((~v84(constB98, 0)) <=> v123(constB98, 0))))) <=> ((~v94(constB98)) | (~(((~v84(constB98, 0)) <=> v123(constB98, 0)) | ((~v84(constB98, 2)) <=> v123(constB98, 2)) | ((~v84(constB98, 1)) <=> v123(constB98, 1)))))),
% 15.17/10.39 inference(rewrite,[status(thm)],[])).
% 15.17/10.39 tff(12566,plain,
% 15.17/10.39 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB98)) | (~(((~v84(constB98, 2)) <=> v123(constB98, 2)) | ((~v84(constB98, 1)) <=> v123(constB98, 1)) | ((~v84(constB98, 0)) <=> v123(constB98, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB98)) | (~(((~v84(constB98, 0)) <=> v123(constB98, 0)) | ((~v84(constB98, 2)) <=> v123(constB98, 2)) | ((~v84(constB98, 1)) <=> v123(constB98, 1))))))),
% 15.17/10.39 inference(monotonicity,[status(thm)],[12565])).
% 15.17/10.39 tff(12567,plain,
% 15.17/10.39 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB98)) | (~(((~v84(constB98, 2)) <=> v123(constB98, 2)) | ((~v84(constB98, 1)) <=> v123(constB98, 1)) | ((~v84(constB98, 0)) <=> v123(constB98, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB98)) | (~(((~v84(constB98, 0)) <=> v123(constB98, 0)) | ((~v84(constB98, 2)) <=> v123(constB98, 2)) | ((~v84(constB98, 1)) <=> v123(constB98, 1)))))),
% 15.17/10.39 inference(transitivity,[status(thm)],[12566, 12564])).
% 15.17/10.39 tff(12568,plain,
% 15.17/10.39 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB98)) | (~(((~v84(constB98, 2)) <=> v123(constB98, 2)) | ((~v84(constB98, 1)) <=> v123(constB98, 1)) | ((~v84(constB98, 0)) <=> v123(constB98, 0)))))),
% 15.17/10.39 inference(quant_inst,[status(thm)],[])).
% 15.17/10.39 tff(12569,plain,
% 15.17/10.39 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB98)) | (~(((~v84(constB98, 0)) <=> v123(constB98, 0)) | ((~v84(constB98, 2)) <=> v123(constB98, 2)) | ((~v84(constB98, 1)) <=> v123(constB98, 1))))),
% 15.17/10.39 inference(modus_ponens,[status(thm)],[12568, 12567])).
% 15.17/10.39 tff(12570,plain,
% 15.17/10.39 ((~v94(constB98)) | (~(((~v84(constB98, 0)) <=> v123(constB98, 0)) | ((~v84(constB98, 2)) <=> v123(constB98, 2)) | ((~v84(constB98, 1)) <=> v123(constB98, 1))))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12569, 2517])).
% 15.17/10.39 tff(12571,plain,
% 15.17/10.39 (~(((~v84(constB98, 0)) <=> v123(constB98, 0)) | ((~v84(constB98, 2)) <=> v123(constB98, 2)) | ((~v84(constB98, 1)) <=> v123(constB98, 1)))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12570, 12563])).
% 15.17/10.39 tff(12572,plain,
% 15.17/10.39 ((((~v84(constB98, 0)) <=> v123(constB98, 0)) | ((~v84(constB98, 2)) <=> v123(constB98, 2)) | ((~v84(constB98, 1)) <=> v123(constB98, 1))) | (~((~v84(constB98, 2)) <=> v123(constB98, 2)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12573,plain,
% 15.17/10.39 (~((~v84(constB98, 2)) <=> v123(constB98, 2))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12572, 12571])).
% 15.17/10.39 tff(12574,plain,
% 15.17/10.39 (((~v84(constB98, 2)) <=> v123(constB98, 2)) | (~v84(constB98, 2)) | v123(constB98, 2)),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12575,plain,
% 15.17/10.39 (~v84(constB98, 2)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12574, 12573, 12467])).
% 15.17/10.39 tff(12576,plain,
% 15.17/10.39 (((~v84(constB99, 2)) <=> v84(constB98, 2)) | (~v84(constB99, 2)) | v84(constB98, 2)),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12577,plain,
% 15.17/10.39 (~v84(constB99, 2)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12576, 12575, 6420])).
% 15.17/10.39 tff(12578,plain,
% 15.17/10.39 ((((~v84(constB99, 1)) <=> v84(constB98, 1)) | ((~v84(constB99, 2)) <=> v84(constB98, 2)) | ((~v84(constB99, 0)) <=> v84(constB98, 0))) | (~((~v84(constB99, 0)) <=> v84(constB98, 0)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12579,plain,
% 15.17/10.39 (~((~v84(constB99, 0)) <=> v84(constB98, 0))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12578, 6418])).
% 15.17/10.39 tff(12580,plain,
% 15.17/10.39 ((((~v123(constB98, 2)) <=> v121(constB97, 2)) | ((~v123(constB98, 1)) <=> v121(constB97, 1)) | ((~v123(constB98, 0)) <=> v121(constB97, 0))) | (~((~v123(constB98, 0)) <=> v121(constB97, 0)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12581,plain,
% 15.17/10.39 (~((~v123(constB98, 0)) <=> v121(constB97, 0))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12580, 6427])).
% 15.17/10.39 tff(12582,plain,
% 15.17/10.39 ((((~v121(constB97, 2)) <=> v124(constB97, 2)) | ((~v121(constB97, 0)) <=> v124(constB97, 0)) | ((~v121(constB97, 1)) <=> v124(constB97, 1))) | (~((~v121(constB97, 0)) <=> v124(constB97, 0)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12583,plain,
% 15.17/10.39 (~((~v121(constB97, 0)) <=> v124(constB97, 0))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12582, 6441])).
% 15.17/10.39 tff(12584,plain,
% 15.17/10.39 ((v124(constB97, 2) | v124(constB97, 0) | (~v124(constB97, 1))) | (~v124(constB97, 0))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12585,plain,
% 15.17/10.39 (~v124(constB97, 0)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12584, 12461])).
% 15.17/10.39 tff(12586,plain,
% 15.17/10.39 (((~v121(constB97, 0)) <=> v124(constB97, 0)) | (~v121(constB97, 0)) | v124(constB97, 0)),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12587,plain,
% 15.17/10.39 (~v121(constB97, 0)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12586, 12585, 12583])).
% 15.17/10.39 tff(12588,plain,
% 15.17/10.39 (((~v123(constB98, 0)) <=> v121(constB97, 0)) | (~v123(constB98, 0)) | v121(constB97, 0)),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12589,plain,
% 15.17/10.39 (~v123(constB98, 0)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12588, 12587, 12581])).
% 15.17/10.39 tff(12590,plain,
% 15.17/10.39 ((((~v84(constB98, 0)) <=> v123(constB98, 0)) | ((~v84(constB98, 2)) <=> v123(constB98, 2)) | ((~v84(constB98, 1)) <=> v123(constB98, 1))) | (~((~v84(constB98, 0)) <=> v123(constB98, 0)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12591,plain,
% 15.17/10.39 (~((~v84(constB98, 0)) <=> v123(constB98, 0))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12590, 12571])).
% 15.17/10.39 tff(12592,plain,
% 15.17/10.39 (((~v84(constB98, 0)) <=> v123(constB98, 0)) | (~v84(constB98, 0)) | v123(constB98, 0)),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12593,plain,
% 15.17/10.39 (~v84(constB98, 0)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12592, 12591, 12589])).
% 15.17/10.39 tff(12594,plain,
% 15.17/10.39 (((~v84(constB99, 0)) <=> v84(constB98, 0)) | (~v84(constB99, 0)) | v84(constB98, 0)),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12595,plain,
% 15.17/10.39 (~v84(constB99, 0)),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12594, 12593, 12579])).
% 15.17/10.39 tff(12596,plain,
% 15.17/10.39 ((((~v84(constB99, 1)) <=> v84(constB98, 1)) | ((~v84(constB99, 2)) <=> v84(constB98, 2)) | ((~v84(constB99, 0)) <=> v84(constB98, 0))) | (~((~v84(constB99, 1)) <=> v84(constB98, 1)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12597,plain,
% 15.17/10.39 (~((~v84(constB99, 1)) <=> v84(constB98, 1))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12596, 6418])).
% 15.17/10.39 tff(12598,plain,
% 15.17/10.39 ((((~v123(constB98, 2)) <=> v121(constB97, 2)) | ((~v123(constB98, 1)) <=> v121(constB97, 1)) | ((~v123(constB98, 0)) <=> v121(constB97, 0))) | (~((~v123(constB98, 1)) <=> v121(constB97, 1)))),
% 15.17/10.39 inference(tautology,[status(thm)],[])).
% 15.17/10.39 tff(12599,plain,
% 15.17/10.39 (~((~v123(constB98, 1)) <=> v121(constB97, 1))),
% 15.17/10.39 inference(unit_resolution,[status(thm)],[12598, 6427])).
% 15.17/10.39 tff(12600,plain,
% 15.17/10.39 ((((~v121(constB97, 2)) <=> v124(constB97, 2)) | ((~v121(constB97, 0)) <=> v124(constB97, 0)) | ((~v121(constB97, 1)) <=> v124(constB97, 1))) | (~((~v121(constB97, 1)) <=> v124(constB97, 1)))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12601,plain,
% 15.17/10.40 (~((~v121(constB97, 1)) <=> v124(constB97, 1))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12600, 6441])).
% 15.17/10.40 tff(12602,plain,
% 15.17/10.40 ((v124(constB97, 2) | v124(constB97, 0) | (~v124(constB97, 1))) | v124(constB97, 1)),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12603,plain,
% 15.17/10.40 (v124(constB97, 1)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12602, 12461])).
% 15.17/10.40 tff(12604,plain,
% 15.17/10.40 (((~v121(constB97, 1)) <=> v124(constB97, 1)) | v121(constB97, 1) | (~v124(constB97, 1))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12605,plain,
% 15.17/10.40 (v121(constB97, 1)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12604, 12603, 12601])).
% 15.17/10.40 tff(12606,plain,
% 15.17/10.40 (((~v123(constB98, 1)) <=> v121(constB97, 1)) | v123(constB98, 1) | (~v121(constB97, 1))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12607,plain,
% 15.17/10.40 (v123(constB98, 1)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12606, 12605, 12599])).
% 15.17/10.40 tff(12608,plain,
% 15.17/10.40 ((((~v84(constB98, 0)) <=> v123(constB98, 0)) | ((~v84(constB98, 2)) <=> v123(constB98, 2)) | ((~v84(constB98, 1)) <=> v123(constB98, 1))) | (~((~v84(constB98, 1)) <=> v123(constB98, 1)))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12609,plain,
% 15.17/10.40 (~((~v84(constB98, 1)) <=> v123(constB98, 1))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12608, 12571])).
% 15.17/10.40 tff(12610,plain,
% 15.17/10.40 (((~v84(constB98, 1)) <=> v123(constB98, 1)) | v84(constB98, 1) | (~v123(constB98, 1))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12611,plain,
% 15.17/10.40 (v84(constB98, 1)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12610, 12609, 12607])).
% 15.17/10.40 tff(12612,plain,
% 15.17/10.40 (((~v84(constB99, 1)) <=> v84(constB98, 1)) | v84(constB99, 1) | (~v84(constB98, 1))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12613,plain,
% 15.17/10.40 (v84(constB99, 1)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12612, 12611, 12597])).
% 15.17/10.40 tff(12614,plain,
% 15.17/10.40 ((~(v84(constB99, 2) | v84(constB99, 0) | (~v84(constB99, 1)))) | v84(constB99, 2) | v84(constB99, 0) | (~v84(constB99, 1))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12615,plain,
% 15.17/10.40 (~(v84(constB99, 2) | v84(constB99, 0) | (~v84(constB99, 1)))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12614, 12613, 12595, 12577])).
% 15.17/10.40 tff(12616,plain,
% 15.17/10.40 ((~(v115(constB99) <=> (~(v84(constB99, 2) | v84(constB99, 0) | (~v84(constB99, 1)))))) | v115(constB99) | (v84(constB99, 2) | v84(constB99, 0) | (~v84(constB99, 1)))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12617,plain,
% 15.17/10.40 (v115(constB99)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12616, 12615, 6384])).
% 15.17/10.40 tff(12618,plain,
% 15.17/10.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB99)) | (~(v124(constB99, 2) | (~v124(constB99, 0)) | (~v124(constB99, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB99)) | (~(v124(constB99, 2) | (~v124(constB99, 0)) | (~v124(constB99, 1)))))),
% 15.17/10.40 inference(rewrite,[status(thm)],[])).
% 15.17/10.40 tff(12619,plain,
% 15.17/10.40 (((~v115(constB99)) | (~(v124(constB99, 2) | (~v124(constB99, 1)) | (~v124(constB99, 0))))) <=> ((~v115(constB99)) | (~(v124(constB99, 2) | (~v124(constB99, 0)) | (~v124(constB99, 1)))))),
% 15.17/10.40 inference(rewrite,[status(thm)],[])).
% 15.17/10.40 tff(12620,plain,
% 15.17/10.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB99)) | (~(v124(constB99, 2) | (~v124(constB99, 1)) | (~v124(constB99, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB99)) | (~(v124(constB99, 2) | (~v124(constB99, 0)) | (~v124(constB99, 1))))))),
% 15.17/10.40 inference(monotonicity,[status(thm)],[12619])).
% 15.17/10.40 tff(12621,plain,
% 15.17/10.40 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB99)) | (~(v124(constB99, 2) | (~v124(constB99, 1)) | (~v124(constB99, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB99)) | (~(v124(constB99, 2) | (~v124(constB99, 0)) | (~v124(constB99, 1)))))),
% 15.17/10.40 inference(transitivity,[status(thm)],[12620, 12618])).
% 15.17/10.40 tff(12622,plain,
% 15.17/10.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB99)) | (~(v124(constB99, 2) | (~v124(constB99, 1)) | (~v124(constB99, 0)))))),
% 15.17/10.40 inference(quant_inst,[status(thm)],[])).
% 15.17/10.40 tff(12623,plain,
% 15.17/10.40 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB99)) | (~(v124(constB99, 2) | (~v124(constB99, 0)) | (~v124(constB99, 1))))),
% 15.17/10.40 inference(modus_ponens,[status(thm)],[12622, 12621])).
% 15.17/10.40 tff(12624,plain,
% 15.17/10.40 ((~v115(constB99)) | (~(v124(constB99, 2) | (~v124(constB99, 0)) | (~v124(constB99, 1))))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12623, 3138])).
% 15.17/10.40 tff(12625,plain,
% 15.17/10.40 (~(v124(constB99, 2) | (~v124(constB99, 0)) | (~v124(constB99, 1)))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12624, 12617])).
% 15.17/10.40 tff(12626,plain,
% 15.17/10.40 ((v124(constB99, 2) | (~v124(constB99, 0)) | (~v124(constB99, 1))) | v124(constB99, 1)),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12627,plain,
% 15.17/10.40 (v124(constB99, 1)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12626, 12625])).
% 15.17/10.40 tff(12628,plain,
% 15.17/10.40 (((~v121(constB99, 1)) <=> v124(constB99, 1)) | v121(constB99, 1) | (~v124(constB99, 1))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12629,plain,
% 15.17/10.40 (v121(constB99, 1)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12628, 12627, 6377])).
% 15.17/10.40 tff(12630,plain,
% 15.17/10.40 (((~v123(constB100, 1)) <=> v121(constB99, 1)) | v123(constB100, 1) | (~v121(constB99, 1))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12631,plain,
% 15.17/10.40 (v123(constB100, 1)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12630, 12629, 6363])).
% 15.17/10.40 tff(12632,plain,
% 15.17/10.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB99, constB100)) | (v94(constB100) <=> (~((~v95(constB100)) | (~v104(constB100))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB99, constB100)) | (v94(constB100) <=> (~((~v95(constB100)) | (~v104(constB100))))))),
% 15.17/10.40 inference(rewrite,[status(thm)],[])).
% 15.17/10.40 tff(12633,plain,
% 15.17/10.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB99, constB100)) | (v94(constB100) <=> (~((~v95(constB100)) | (~v104(constB100))))))),
% 15.17/10.40 inference(quant_inst,[status(thm)],[])).
% 15.17/10.40 tff(12634,plain,
% 15.17/10.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB99, constB100)) | (v94(constB100) <=> (~((~v95(constB100)) | (~v104(constB100)))))),
% 15.17/10.40 inference(modus_ponens,[status(thm)],[12633, 12632])).
% 15.17/10.40 tff(12635,plain,
% 15.17/10.40 (v94(constB100) <=> (~((~v95(constB100)) | (~v104(constB100))))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12634, 6357, 770])).
% 15.17/10.40 tff(12636,plain,
% 15.17/10.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100))))))),
% 15.17/10.40 inference(rewrite,[status(thm)],[])).
% 15.17/10.40 tff(12637,plain,
% 15.17/10.40 (((~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v96(constB100)) | (~v1(constB100)))))) <=> ((~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100))))))),
% 15.17/10.40 inference(rewrite,[status(thm)],[])).
% 15.17/10.40 tff(12638,plain,
% 15.17/10.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v96(constB100)) | (~v1(constB100))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100)))))))),
% 15.17/10.40 inference(monotonicity,[status(thm)],[12637])).
% 15.17/10.40 tff(12639,plain,
% 15.17/10.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v96(constB100)) | (~v1(constB100))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100))))))),
% 15.17/10.40 inference(transitivity,[status(thm)],[12638, 12636])).
% 15.17/10.40 tff(12640,plain,
% 15.17/10.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v96(constB100)) | (~v1(constB100))))))),
% 15.17/10.40 inference(quant_inst,[status(thm)],[])).
% 15.17/10.40 tff(12641,plain,
% 15.17/10.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100)))))),
% 15.17/10.40 inference(modus_ponens,[status(thm)],[12640, 12639])).
% 15.17/10.40 tff(12642,plain,
% 15.17/10.40 (v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100))))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12641, 6357, 790])).
% 15.17/10.40 tff(12643,plain,
% 15.17/10.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB99, constB100)) | ((~v96(constB100)) <=> v98(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB99, constB100)) | ((~v96(constB100)) <=> v98(constB100)))),
% 15.17/10.40 inference(rewrite,[status(thm)],[])).
% 15.17/10.40 tff(12644,plain,
% 15.17/10.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB99, constB100)) | ((~v96(constB100)) <=> v98(constB100)))),
% 15.17/10.40 inference(quant_inst,[status(thm)],[])).
% 15.17/10.40 tff(12645,plain,
% 15.17/10.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB99, constB100)) | ((~v96(constB100)) <=> v98(constB100))),
% 15.17/10.40 inference(modus_ponens,[status(thm)],[12644, 12643])).
% 15.17/10.40 tff(12646,plain,
% 15.17/10.40 ((~v96(constB100)) <=> v98(constB100)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12645, 6357, 2332])).
% 15.17/10.40 tff(12647,plain,
% 15.17/10.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB99, constB100)) | (v98(constB100) <=> v1(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB99, constB100)) | (v98(constB100) <=> v1(constB99)))),
% 15.17/10.40 inference(rewrite,[status(thm)],[])).
% 15.17/10.40 tff(12648,plain,
% 15.17/10.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB99, constB100)) | (v98(constB100) <=> v1(constB99)))),
% 15.17/10.40 inference(quant_inst,[status(thm)],[])).
% 15.17/10.40 tff(12649,plain,
% 15.17/10.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB99, constB100)) | (v98(constB100) <=> v1(constB99))),
% 15.17/10.40 inference(modus_ponens,[status(thm)],[12648, 12647])).
% 15.17/10.40 tff(12650,plain,
% 15.17/10.40 (v98(constB100) <=> v1(constB99)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12649, 6357, 2346])).
% 15.17/10.40 tff(12651,plain,
% 15.17/10.40 ((~(v98(constB100) <=> v1(constB99))) | (~v98(constB100)) | v1(constB99)),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12652,plain,
% 15.17/10.40 ((~(v98(constB100) <=> v1(constB99))) | (~v98(constB100))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12651, 6401])).
% 15.17/10.40 tff(12653,plain,
% 15.17/10.40 (~v98(constB100)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12652, 12650])).
% 15.17/10.40 tff(12654,plain,
% 15.17/10.40 ((~((~v96(constB100)) <=> v98(constB100))) | v96(constB100) | v98(constB100)),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12655,plain,
% 15.17/10.40 (v96(constB100)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12654, 12653, 12646])).
% 15.17/10.40 tff(12656,plain,
% 15.17/10.40 (v1(constB100) <=> v1(constB100)),
% 15.17/10.40 inference(rewrite,[status(thm)],[])).
% 15.17/10.40 tff(12657,axiom,(v1(constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_100')).
% 15.17/10.40 tff(12658,plain,
% 15.17/10.40 (v1(constB100)),
% 15.17/10.40 inference(modus_ponens,[status(thm)],[12657, 12656])).
% 15.17/10.40 tff(12659,plain,
% 15.17/10.40 ((~((~v1(constB100)) | (~v96(constB100)))) | (~v1(constB100)) | (~v96(constB100))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12660,plain,
% 15.17/10.40 ((~((~v1(constB100)) | (~v96(constB100)))) | (~v96(constB100))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12659, 12658])).
% 15.17/10.40 tff(12661,plain,
% 15.17/10.40 (~((~v1(constB100)) | (~v96(constB100)))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12660, 12655])).
% 15.17/10.40 tff(12662,plain,
% 15.17/10.40 ((~(v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100)))))) | v95(constB100) | ((~v1(constB100)) | (~v96(constB100)))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12663,plain,
% 15.17/10.40 (v95(constB100)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12662, 12661, 12642])).
% 15.17/10.40 tff(12664,plain,
% 15.17/10.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB99, constB100)) | (v104(constB100) <=> v102(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB99, constB100)) | (v104(constB100) <=> v102(constB99)))),
% 15.17/10.40 inference(rewrite,[status(thm)],[])).
% 15.17/10.40 tff(12665,plain,
% 15.17/10.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB99, constB100)) | (v104(constB100) <=> v102(constB99)))),
% 15.17/10.40 inference(quant_inst,[status(thm)],[])).
% 15.17/10.40 tff(12666,plain,
% 15.17/10.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB99, constB100)) | (v104(constB100) <=> v102(constB99))),
% 15.17/10.40 inference(modus_ponens,[status(thm)],[12665, 12664])).
% 15.17/10.40 tff(12667,plain,
% 15.17/10.40 (v104(constB100) <=> v102(constB99)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12666, 6357, 2373])).
% 15.17/10.40 tff(12668,plain,
% 15.17/10.40 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB99) <=> (v105(constB99) | v106(constB99)))),
% 15.17/10.40 inference(quant_inst,[status(thm)],[])).
% 15.17/10.40 tff(12669,plain,
% 15.17/10.40 (v102(constB99) <=> (v105(constB99) | v106(constB99))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12668, 2384])).
% 15.17/10.40 tff(12670,plain,
% 15.17/10.40 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB99) <=> (~((~v107(constB99)) | (~v120(constB99)))))),
% 15.17/10.40 inference(quant_inst,[status(thm)],[])).
% 15.17/10.40 tff(12671,plain,
% 15.17/10.40 (v106(constB99) <=> (~((~v107(constB99)) | (~v120(constB99))))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12670, 2396])).
% 15.17/10.40 tff(12672,plain,
% 15.17/10.40 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB99) <=> (v108(constB99) | v119(constB99)))),
% 15.17/10.40 inference(quant_inst,[status(thm)],[])).
% 15.17/10.40 tff(12673,plain,
% 15.17/10.40 (v107(constB99) <=> (v108(constB99) | v119(constB99))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12672, 2405])).
% 15.17/10.40 tff(12674,plain,
% 15.17/10.40 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB99) <=> (v109(constB99) | v118(constB99)))),
% 15.17/10.40 inference(quant_inst,[status(thm)],[])).
% 15.17/10.40 tff(12675,plain,
% 15.17/10.40 (v108(constB99) <=> (v109(constB99) | v118(constB99))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12674, 2414])).
% 15.17/10.40 tff(12676,plain,
% 15.17/10.40 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB99) <=> (v110(constB99) | v117(constB99)))),
% 15.17/10.40 inference(quant_inst,[status(thm)],[])).
% 15.17/10.40 tff(12677,plain,
% 15.17/10.40 (v109(constB99) <=> (v110(constB99) | v117(constB99))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12676, 2423])).
% 15.17/10.40 tff(12678,plain,
% 15.17/10.40 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB99) <=> (v111(constB99) | v116(constB99)))),
% 15.17/10.40 inference(quant_inst,[status(thm)],[])).
% 15.17/10.40 tff(12679,plain,
% 15.17/10.40 (v110(constB99) <=> (v111(constB99) | v116(constB99))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12678, 2432])).
% 15.17/10.40 tff(12680,plain,
% 15.17/10.40 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB99) <=> (v112(constB99) | v115(constB99)))),
% 15.17/10.40 inference(quant_inst,[status(thm)],[])).
% 15.17/10.40 tff(12681,plain,
% 15.17/10.40 (v111(constB99) <=> (v112(constB99) | v115(constB99))),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12680, 2441])).
% 15.17/10.40 tff(12682,plain,
% 15.17/10.40 ((v112(constB99) | v115(constB99)) | (~v115(constB99))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12683,plain,
% 15.17/10.40 (v112(constB99) | v115(constB99)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12682, 12617])).
% 15.17/10.40 tff(12684,plain,
% 15.17/10.40 ((~(v111(constB99) <=> (v112(constB99) | v115(constB99)))) | v111(constB99) | (~(v112(constB99) | v115(constB99)))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12685,plain,
% 15.17/10.40 (v111(constB99)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12684, 12683, 12681])).
% 15.17/10.40 tff(12686,plain,
% 15.17/10.40 ((v111(constB99) | v116(constB99)) | (~v111(constB99))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12687,plain,
% 15.17/10.40 (v111(constB99) | v116(constB99)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12686, 12685])).
% 15.17/10.40 tff(12688,plain,
% 15.17/10.40 ((~(v110(constB99) <=> (v111(constB99) | v116(constB99)))) | v110(constB99) | (~(v111(constB99) | v116(constB99)))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12689,plain,
% 15.17/10.40 (v110(constB99)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12688, 12687, 12679])).
% 15.17/10.40 tff(12690,plain,
% 15.17/10.40 ((v110(constB99) | v117(constB99)) | (~v110(constB99))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12691,plain,
% 15.17/10.40 (v110(constB99) | v117(constB99)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12690, 12689])).
% 15.17/10.40 tff(12692,plain,
% 15.17/10.40 ((~(v109(constB99) <=> (v110(constB99) | v117(constB99)))) | v109(constB99) | (~(v110(constB99) | v117(constB99)))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12693,plain,
% 15.17/10.40 (v109(constB99)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12692, 12691, 12677])).
% 15.17/10.40 tff(12694,plain,
% 15.17/10.40 ((v109(constB99) | v118(constB99)) | (~v109(constB99))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12695,plain,
% 15.17/10.40 (v109(constB99) | v118(constB99)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12694, 12693])).
% 15.17/10.40 tff(12696,plain,
% 15.17/10.40 ((~(v108(constB99) <=> (v109(constB99) | v118(constB99)))) | v108(constB99) | (~(v109(constB99) | v118(constB99)))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12697,plain,
% 15.17/10.40 (v108(constB99)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12696, 12695, 12675])).
% 15.17/10.40 tff(12698,plain,
% 15.17/10.40 ((v108(constB99) | v119(constB99)) | (~v108(constB99))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12699,plain,
% 15.17/10.40 (v108(constB99) | v119(constB99)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12698, 12697])).
% 15.17/10.40 tff(12700,plain,
% 15.17/10.40 ((~(v107(constB99) <=> (v108(constB99) | v119(constB99)))) | v107(constB99) | (~(v108(constB99) | v119(constB99)))),
% 15.17/10.40 inference(tautology,[status(thm)],[])).
% 15.17/10.40 tff(12701,plain,
% 15.17/10.40 (v107(constB99)),
% 15.17/10.40 inference(unit_resolution,[status(thm)],[12700, 12699, 12673])).
% 15.17/10.40 tff(12702,plain,
% 15.17/10.40 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB99)) <=> v105(constB99))),
% 15.17/10.41 inference(quant_inst,[status(thm)],[])).
% 15.17/10.41 tff(12703,plain,
% 15.17/10.41 ((~v120(constB99)) <=> v105(constB99)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12702, 2484])).
% 15.17/10.41 tff(12704,plain,
% 15.17/10.41 ((~((~v120(constB99)) <=> v105(constB99))) | v120(constB99) | v105(constB99)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12705,plain,
% 15.17/10.41 ((~((~v120(constB99)) <=> v105(constB99))) | v120(constB99)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12704, 6370])).
% 15.17/10.41 tff(12706,plain,
% 15.17/10.41 (v120(constB99)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12705, 12703])).
% 15.17/10.41 tff(12707,plain,
% 15.17/10.41 ((~((~v107(constB99)) | (~v120(constB99)))) | (~v107(constB99)) | (~v120(constB99))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12708,plain,
% 15.17/10.41 ((~((~v107(constB99)) | (~v120(constB99)))) | (~v107(constB99))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12707, 12706])).
% 15.17/10.41 tff(12709,plain,
% 15.17/10.41 (~((~v107(constB99)) | (~v120(constB99)))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12708, 12701])).
% 15.17/10.41 tff(12710,plain,
% 15.17/10.41 ((~(v106(constB99) <=> (~((~v107(constB99)) | (~v120(constB99)))))) | v106(constB99) | ((~v107(constB99)) | (~v120(constB99)))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12711,plain,
% 15.17/10.41 (v106(constB99)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12710, 12709, 12671])).
% 15.17/10.41 tff(12712,plain,
% 15.17/10.41 ((v105(constB99) | v106(constB99)) | (~v106(constB99))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12713,plain,
% 15.17/10.41 (v105(constB99) | v106(constB99)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12712, 12711])).
% 15.17/10.41 tff(12714,plain,
% 15.17/10.41 ((~(v102(constB99) <=> (v105(constB99) | v106(constB99)))) | v102(constB99) | (~(v105(constB99) | v106(constB99)))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12715,plain,
% 15.17/10.41 (v102(constB99)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12714, 12713, 12669])).
% 15.17/10.41 tff(12716,plain,
% 15.17/10.41 ((~(v104(constB100) <=> v102(constB99))) | v104(constB100) | (~v102(constB99))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12717,plain,
% 15.17/10.41 (v104(constB100)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12716, 12715, 12667])).
% 15.17/10.41 tff(12718,plain,
% 15.17/10.41 ((~((~v95(constB100)) | (~v104(constB100)))) | (~v95(constB100)) | (~v104(constB100))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12719,plain,
% 15.17/10.41 (~((~v95(constB100)) | (~v104(constB100)))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12718, 12717, 12663])).
% 15.17/10.41 tff(12720,plain,
% 15.17/10.41 ((~(v94(constB100) <=> (~((~v95(constB100)) | (~v104(constB100)))))) | v94(constB100) | ((~v95(constB100)) | (~v104(constB100)))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12721,plain,
% 15.17/10.41 (v94(constB100)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12720, 12719, 12635])).
% 15.17/10.41 tff(12722,plain,
% 15.17/10.41 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB100)) | (~(((~v84(constB100, 2)) <=> v123(constB100, 2)) | ((~v84(constB100, 1)) <=> v123(constB100, 1)) | ((~v84(constB100, 0)) <=> v123(constB100, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB100)) | (~(((~v84(constB100, 2)) <=> v123(constB100, 2)) | ((~v84(constB100, 1)) <=> v123(constB100, 1)) | ((~v84(constB100, 0)) <=> v123(constB100, 0)))))),
% 15.17/10.41 inference(rewrite,[status(thm)],[])).
% 15.17/10.41 tff(12723,plain,
% 15.17/10.41 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB100)) | (~(((~v84(constB100, 2)) <=> v123(constB100, 2)) | ((~v84(constB100, 1)) <=> v123(constB100, 1)) | ((~v84(constB100, 0)) <=> v123(constB100, 0)))))),
% 15.17/10.41 inference(quant_inst,[status(thm)],[])).
% 15.17/10.41 tff(12724,plain,
% 15.17/10.41 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB100)) | (~(((~v84(constB100, 2)) <=> v123(constB100, 2)) | ((~v84(constB100, 1)) <=> v123(constB100, 1)) | ((~v84(constB100, 0)) <=> v123(constB100, 0))))),
% 15.17/10.41 inference(modus_ponens,[status(thm)],[12723, 12722])).
% 15.17/10.41 tff(12725,plain,
% 15.17/10.41 ((~v94(constB100)) | (~(((~v84(constB100, 2)) <=> v123(constB100, 2)) | ((~v84(constB100, 1)) <=> v123(constB100, 1)) | ((~v84(constB100, 0)) <=> v123(constB100, 0))))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12724, 2517])).
% 15.17/10.41 tff(12726,plain,
% 15.17/10.41 (~(((~v84(constB100, 2)) <=> v123(constB100, 2)) | ((~v84(constB100, 1)) <=> v123(constB100, 1)) | ((~v84(constB100, 0)) <=> v123(constB100, 0)))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12725, 12721])).
% 15.17/10.41 tff(12727,plain,
% 15.17/10.41 ((((~v84(constB100, 2)) <=> v123(constB100, 2)) | ((~v84(constB100, 1)) <=> v123(constB100, 1)) | ((~v84(constB100, 0)) <=> v123(constB100, 0))) | (~((~v84(constB100, 1)) <=> v123(constB100, 1)))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12728,plain,
% 15.17/10.41 (~((~v84(constB100, 1)) <=> v123(constB100, 1))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12727, 12726])).
% 15.17/10.41 tff(12729,plain,
% 15.17/10.41 (((~v84(constB100, 1)) <=> v123(constB100, 1)) | v84(constB100, 1) | (~v123(constB100, 1))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12730,plain,
% 15.17/10.41 (v84(constB100, 1)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12729, 12728, 12631])).
% 15.17/10.41 tff(12731,plain,
% 15.17/10.41 (((~v84(constB101, 1)) <=> v84(constB100, 1)) | v84(constB101, 1) | (~v84(constB100, 1))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12732,plain,
% 15.17/10.41 (v84(constB101, 1)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12731, 12730, 6354])).
% 15.17/10.41 tff(12733,plain,
% 15.17/10.41 ((v84(constB101, 1) | v84(constB101, 2) | (~v84(constB101, 0))) | (~v84(constB101, 1))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12734,plain,
% 15.17/10.41 (v84(constB101, 1) | v84(constB101, 2) | (~v84(constB101, 0))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12733, 12732])).
% 15.17/10.41 tff(12735,plain,
% 15.17/10.41 ((~(v145(constB101) <=> (~(v84(constB101, 1) | v84(constB101, 2) | (~v84(constB101, 0)))))) | (~v145(constB101)) | (~(v84(constB101, 1) | v84(constB101, 2) | (~v84(constB101, 0))))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12736,plain,
% 15.17/10.41 (~v145(constB101)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12735, 12734, 6321])).
% 15.17/10.41 tff(12737,plain,
% 15.17/10.41 (((~v141(constB101)) | (~v145(constB101))) | v145(constB101)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12738,plain,
% 15.17/10.41 ((~v141(constB101)) | (~v145(constB101))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12737, 12736])).
% 15.17/10.41 tff(12739,plain,
% 15.17/10.41 ((~(v144(constB101) <=> (~((~v141(constB101)) | (~v145(constB101)))))) | (~v144(constB101)) | (~((~v141(constB101)) | (~v145(constB101))))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12740,plain,
% 15.17/10.41 (~v144(constB101)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12739, 12738, 6319])).
% 15.17/10.41 tff(12741,plain,
% 15.17/10.41 (((~v143(constB101)) | (~v144(constB101))) | v144(constB101)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12742,plain,
% 15.17/10.41 ((~v143(constB101)) | (~v144(constB101))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12741, 12740])).
% 15.17/10.41 tff(12743,plain,
% 15.17/10.41 ((~(v142(constB101) <=> (~((~v143(constB101)) | (~v144(constB101)))))) | (~v142(constB101)) | (~((~v143(constB101)) | (~v144(constB101))))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12744,plain,
% 15.17/10.41 (~v142(constB101)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12743, 12742, 6317])).
% 15.17/10.41 tff(12745,plain,
% 15.17/10.41 ((~(v138(constB101) | v142(constB101))) | v138(constB101) | v142(constB101)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12746,plain,
% 15.17/10.41 (~(v138(constB101) | v142(constB101))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12745, 12744, 6315])).
% 15.17/10.41 tff(12747,plain,
% 15.17/10.41 ((~(v135(constB101) <=> (v138(constB101) | v142(constB101)))) | (~v135(constB101)) | (v138(constB101) | v142(constB101))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12748,plain,
% 15.17/10.41 (~v135(constB101)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12747, 12746, 6239])).
% 15.17/10.41 tff(12749,plain,
% 15.17/10.41 ((~(v137(constB102) <=> v135(constB101))) | (~v137(constB102)) | v135(constB101)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12750,plain,
% 15.17/10.41 (~v137(constB102)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12749, 12748, 6237])).
% 15.17/10.41 tff(12751,plain,
% 15.17/10.41 ((~(v132(constB102) <=> v137(constB102))) | (~v132(constB102)) | v137(constB102)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12752,plain,
% 15.17/10.41 (~v132(constB102)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12751, 12750, 6230])).
% 15.17/10.41 tff(12753,plain,
% 15.17/10.41 (((~v132(constB102)) | (~v139(constB102))) | v132(constB102)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12754,plain,
% 15.17/10.41 ((~v132(constB102)) | (~v139(constB102))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12753, 12752])).
% 15.17/10.41 tff(12755,plain,
% 15.17/10.41 ((~(v138(constB102) <=> (~((~v132(constB102)) | (~v139(constB102)))))) | (~v138(constB102)) | (~((~v132(constB102)) | (~v139(constB102))))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12756,plain,
% 15.17/10.41 (~v138(constB102)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12755, 12754, 6228])).
% 15.17/10.41 tff(12757,plain,
% 15.17/10.41 ((~(v138(constB102) | v142(constB102))) | v138(constB102) | v142(constB102)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12758,plain,
% 15.17/10.41 (~(v138(constB102) | v142(constB102))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12757, 12756, 6221])).
% 15.17/10.41 tff(12759,plain,
% 15.17/10.41 ((~(v135(constB102) <=> (v138(constB102) | v142(constB102)))) | (~v135(constB102)) | (v138(constB102) | v142(constB102))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12760,plain,
% 15.17/10.41 (~v135(constB102)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12759, 12758, 6193])).
% 15.17/10.41 tff(12761,plain,
% 15.17/10.41 ((~(v137(constB103) <=> v135(constB102))) | (~v137(constB103)) | v135(constB102)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12762,plain,
% 15.17/10.41 (~v137(constB103)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12761, 12760, 6191])).
% 15.17/10.41 tff(12763,plain,
% 15.17/10.41 ((~(v132(constB103) <=> v137(constB103))) | (~v132(constB103)) | v137(constB103)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12764,plain,
% 15.17/10.41 (~v132(constB103)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12763, 12762, 6184])).
% 15.17/10.41 tff(12765,plain,
% 15.17/10.41 (((~v132(constB103)) | (~v155(constB103))) | v132(constB103)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12766,plain,
% 15.17/10.41 ((~v132(constB103)) | (~v155(constB103))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12765, 12764])).
% 15.17/10.41 tff(12767,plain,
% 15.17/10.41 ((~(v154(constB103) <=> (~((~v132(constB103)) | (~v155(constB103)))))) | (~v154(constB103)) | (~((~v132(constB103)) | (~v155(constB103))))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12768,plain,
% 15.17/10.41 (~v154(constB103)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12767, 12766, 6182])).
% 15.17/10.41 tff(12769,plain,
% 15.17/10.41 ((~(v153(constB103) | v154(constB103))) | v153(constB103) | v154(constB103)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12770,plain,
% 15.17/10.41 (~(v153(constB103) | v154(constB103))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12769, 12768, 6175])).
% 15.17/10.41 tff(12771,plain,
% 15.17/10.41 ((~(v150(constB103) <=> (v153(constB103) | v154(constB103)))) | (~v150(constB103)) | (v153(constB103) | v154(constB103))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12772,plain,
% 15.17/10.41 (~v150(constB103)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12771, 12770, 6099])).
% 15.17/10.41 tff(12773,plain,
% 15.17/10.41 ((~(v152(constB104) <=> v150(constB103))) | (~v152(constB104)) | v150(constB103)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12774,plain,
% 15.17/10.41 (~v152(constB104)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12773, 12772, 6097])).
% 15.17/10.41 tff(12775,plain,
% 15.17/10.41 ((~(v130(constB104) <=> v152(constB104))) | (~v130(constB104)) | v152(constB104)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12776,plain,
% 15.17/10.41 (~v130(constB104)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12775, 12774, 6090])).
% 15.17/10.41 tff(12777,plain,
% 15.17/10.41 (((~v130(constB104)) | (~v139(constB104))) | v130(constB104)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12778,plain,
% 15.17/10.41 ((~v130(constB104)) | (~v139(constB104))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12777, 12776])).
% 15.17/10.41 tff(12779,plain,
% 15.17/10.41 ((~(v153(constB104) <=> (~((~v130(constB104)) | (~v139(constB104)))))) | (~v153(constB104)) | (~((~v130(constB104)) | (~v139(constB104))))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12780,plain,
% 15.17/10.41 (~v153(constB104)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12779, 12778, 6088])).
% 15.17/10.41 tff(12781,plain,
% 15.17/10.41 ((~(v153(constB104) | v154(constB104))) | v153(constB104) | v154(constB104)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12782,plain,
% 15.17/10.41 (~(v153(constB104) | v154(constB104))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12781, 12780, 6081])).
% 15.17/10.41 tff(12783,plain,
% 15.17/10.41 ((~(v150(constB104) <=> (v153(constB104) | v154(constB104)))) | (~v150(constB104)) | (v153(constB104) | v154(constB104))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12784,plain,
% 15.17/10.41 (~v150(constB104)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12783, 12782, 6043])).
% 15.17/10.41 tff(12785,plain,
% 15.17/10.41 ((~(v152(constB105) <=> v150(constB104))) | (~v152(constB105)) | v150(constB104)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12786,plain,
% 15.17/10.41 (~v152(constB105)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12785, 12784, 6041])).
% 15.17/10.41 tff(12787,plain,
% 15.17/10.41 ((~(v130(constB105) <=> v152(constB105))) | (~v130(constB105)) | v152(constB105)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12788,plain,
% 15.17/10.41 (~v130(constB105)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12787, 12786, 6034])).
% 15.17/10.41 tff(12789,plain,
% 15.17/10.41 (((~v130(constB105)) | (~v155(constB105))) | v130(constB105)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12790,plain,
% 15.17/10.41 ((~v130(constB105)) | (~v155(constB105))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12789, 12788])).
% 15.17/10.41 tff(12791,plain,
% 15.17/10.41 ((~(v164(constB105) <=> (~((~v130(constB105)) | (~v155(constB105)))))) | (~v164(constB105)) | (~((~v130(constB105)) | (~v155(constB105))))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12792,plain,
% 15.17/10.41 (~v164(constB105)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12791, 12790, 6032])).
% 15.17/10.41 tff(12793,plain,
% 15.17/10.41 ((~(v163(constB105) | v164(constB105))) | v163(constB105) | v164(constB105)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12794,plain,
% 15.17/10.41 (~(v163(constB105) | v164(constB105))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12793, 12792, 6025])).
% 15.17/10.41 tff(12795,plain,
% 15.17/10.41 ((~(v160(constB105) <=> (v163(constB105) | v164(constB105)))) | (~v160(constB105)) | (v163(constB105) | v164(constB105))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12796,plain,
% 15.17/10.41 (~v160(constB105)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12795, 12794, 5949])).
% 15.17/10.41 tff(12797,plain,
% 15.17/10.41 ((~(v162(constB106) <=> v160(constB105))) | (~v162(constB106)) | v160(constB105)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12798,plain,
% 15.17/10.41 (~v162(constB106)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12797, 12796, 5947])).
% 15.17/10.41 tff(12799,plain,
% 15.17/10.41 ((~(v128(constB106) <=> v162(constB106))) | (~v128(constB106)) | v162(constB106)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12800,plain,
% 15.17/10.41 (~v128(constB106)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12799, 12798, 5940])).
% 15.17/10.41 tff(12801,plain,
% 15.17/10.41 (((~v128(constB106)) | (~v139(constB106))) | v128(constB106)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12802,plain,
% 15.17/10.41 ((~v128(constB106)) | (~v139(constB106))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12801, 12800])).
% 15.17/10.41 tff(12803,plain,
% 15.17/10.41 ((~(v163(constB106) <=> (~((~v128(constB106)) | (~v139(constB106)))))) | (~v163(constB106)) | (~((~v128(constB106)) | (~v139(constB106))))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12804,plain,
% 15.17/10.41 (~v163(constB106)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12803, 12802, 5938])).
% 15.17/10.41 tff(12805,plain,
% 15.17/10.41 ((~(v163(constB106) | v164(constB106))) | v163(constB106) | v164(constB106)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12806,plain,
% 15.17/10.41 (~(v163(constB106) | v164(constB106))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12805, 12804, 5931])).
% 15.17/10.41 tff(12807,plain,
% 15.17/10.41 ((~(v160(constB106) <=> (v163(constB106) | v164(constB106)))) | (~v160(constB106)) | (v163(constB106) | v164(constB106))),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12808,plain,
% 15.17/10.41 (~v160(constB106)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12807, 12806, 5893])).
% 15.17/10.41 tff(12809,plain,
% 15.17/10.41 ((~(v162(constB107) <=> v160(constB106))) | (~v162(constB107)) | v160(constB106)),
% 15.17/10.41 inference(tautology,[status(thm)],[])).
% 15.17/10.41 tff(12810,plain,
% 15.17/10.41 (~v162(constB107)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12809, 12808, 5891])).
% 15.17/10.41 tff(12811,plain,
% 15.17/10.41 ($false),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12810, 5884])).
% 15.17/10.41 tff(12812,plain,(~(constB107 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.17/10.41 tff(12813,assumption,(constB9 = VarCurr!0), introduced(assumption)).
% 15.17/10.41 tff(12814,plain,
% 15.17/10.41 (v162(constB9) <=> v162(VarCurr!0)),
% 15.17/10.41 inference(monotonicity,[status(thm)],[12813])).
% 15.17/10.41 tff(12815,plain,
% 15.17/10.41 (v162(VarCurr!0) <=> v162(constB9)),
% 15.17/10.41 inference(symmetry,[status(thm)],[12814])).
% 15.17/10.41 tff(12816,plain,
% 15.17/10.41 (v162(constB9)),
% 15.17/10.41 inference(modus_ponens,[status(thm)],[59, 12815])).
% 15.17/10.41 tff(12817,plain,
% 15.17/10.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB8, constB9)) | (v162(constB9) <=> v160(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB8, constB9)) | (v162(constB9) <=> v160(constB8)))),
% 15.17/10.41 inference(rewrite,[status(thm)],[])).
% 15.17/10.41 tff(12818,plain,
% 15.17/10.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB8, constB9)) | (v162(constB9) <=> v160(constB8)))),
% 15.17/10.41 inference(quant_inst,[status(thm)],[])).
% 15.17/10.41 tff(12819,plain,
% 15.17/10.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB8, constB9)) | (v162(constB9) <=> v160(constB8))),
% 15.17/10.41 inference(modus_ponens,[status(thm)],[12818, 12817])).
% 15.17/10.41 tff(12820,plain,
% 15.17/10.41 (v162(constB9) <=> v160(constB8)),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12819, 1979, 70])).
% 15.17/10.41 tff(12821,plain,
% 15.17/10.41 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB8) <=> (v163(constB8) | v164(constB8)))),
% 15.17/10.41 inference(quant_inst,[status(thm)],[])).
% 15.17/10.41 tff(12822,plain,
% 15.17/10.41 (v160(constB8) <=> (v163(constB8) | v164(constB8))),
% 15.17/10.41 inference(unit_resolution,[status(thm)],[12821, 84])).
% 15.17/10.41 tff(12823,plain,
% 15.17/10.41 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB8) <=> (~((~v130(constB8)) | (~v155(constB8)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB8) <=> (~((~v130(constB8)) | (~v155(constB8))))))),
% 15.17/10.41 inference(rewrite,[status(thm)],[])).
% 15.17/10.41 tff(12824,plain,
% 15.17/10.41 ((v164(constB8) <=> (~((~v155(constB8)) | (~v130(constB8))))) <=> (v164(constB8) <=> (~((~v130(constB8)) | (~v155(constB8)))))),
% 15.17/10.41 inference(rewrite,[status(thm)],[])).
% 15.17/10.41 tff(12825,plain,
% 15.17/10.41 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB8) <=> (~((~v155(constB8)) | (~v130(constB8)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB8) <=> (~((~v130(constB8)) | (~v155(constB8))))))),
% 15.17/10.41 inference(monotonicity,[status(thm)],[12824])).
% 15.17/10.41 tff(12826,plain,
% 15.17/10.41 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB8) <=> (~((~v155(constB8)) | (~v130(constB8)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB8) <=> (~((~v130(constB8)) | (~v155(constB8))))))),
% 15.17/10.41 inference(transitivity,[status(thm)],[12825, 12823])).
% 15.17/10.41 tff(12827,plain,
% 15.17/10.41 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB8) <=> (~((~v155(constB8)) | (~v130(constB8)))))),
% 15.17/10.41 inference(quant_inst,[status(thm)],[])).
% 15.17/10.41 tff(12828,plain,
% 15.17/10.41 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB8) <=> (~((~v130(constB8)) | (~v155(constB8)))))),
% 15.17/10.41 inference(modus_ponens,[status(thm)],[12827, 12826])).
% 15.17/10.42 tff(12829,plain,
% 15.17/10.42 (v164(constB8) <=> (~((~v130(constB8)) | (~v155(constB8))))),
% 15.17/10.42 inference(unit_resolution,[status(thm)],[12828, 96])).
% 15.17/10.42 tff(12830,plain,
% 15.17/10.42 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB8) <=> (~((~v141(constB8)) | (~v143(constB8)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB8) <=> (~((~v141(constB8)) | (~v143(constB8))))))),
% 15.17/10.42 inference(rewrite,[status(thm)],[])).
% 15.17/10.42 tff(12831,plain,
% 15.17/10.42 ((v155(constB8) <=> (~((~v143(constB8)) | (~v141(constB8))))) <=> (v155(constB8) <=> (~((~v141(constB8)) | (~v143(constB8)))))),
% 15.17/10.42 inference(rewrite,[status(thm)],[])).
% 15.17/10.42 tff(12832,plain,
% 15.17/10.42 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB8) <=> (~((~v143(constB8)) | (~v141(constB8)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB8) <=> (~((~v141(constB8)) | (~v143(constB8))))))),
% 15.17/10.42 inference(monotonicity,[status(thm)],[12831])).
% 15.17/10.42 tff(12833,plain,
% 15.17/10.42 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB8) <=> (~((~v143(constB8)) | (~v141(constB8)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB8) <=> (~((~v141(constB8)) | (~v143(constB8))))))),
% 15.17/10.42 inference(transitivity,[status(thm)],[12832, 12830])).
% 15.17/10.42 tff(12834,plain,
% 15.17/10.42 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB8) <=> (~((~v143(constB8)) | (~v141(constB8)))))),
% 15.17/10.42 inference(quant_inst,[status(thm)],[])).
% 15.17/10.42 tff(12835,plain,
% 15.17/10.42 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB8) <=> (~((~v141(constB8)) | (~v143(constB8)))))),
% 15.17/10.42 inference(modus_ponens,[status(thm)],[12834, 12833])).
% 15.17/10.42 tff(12836,plain,
% 15.17/10.42 (v155(constB8) <=> (~((~v141(constB8)) | (~v143(constB8))))),
% 15.17/10.42 inference(unit_resolution,[status(thm)],[12835, 113])).
% 15.17/10.42 tff(12837,plain,
% 15.17/10.42 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))),
% 15.17/10.42 inference(quant_inst,[status(thm)],[])).
% 15.17/10.42 tff(12838,plain,
% 15.17/10.42 (v141(constB8) <=> (~((~v39(constB8)) | (~v9(constB8))))),
% 15.17/10.42 inference(unit_resolution,[status(thm)],[12837, 130])).
% 15.17/10.42 tff(12839,plain,
% 15.17/10.42 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB8)) <=> v1(constB8))),
% 15.17/10.42 inference(quant_inst,[status(thm)],[])).
% 15.17/10.42 tff(12840,plain,
% 15.17/10.42 ((~v39(constB8)) <=> v1(constB8)),
% 15.17/10.42 inference(unit_resolution,[status(thm)],[12839, 139])).
% 15.17/10.42 tff(12841,plain,
% 15.17/10.42 ((~((~v39(constB8)) <=> v1(constB8))) | (~v39(constB8)) | (~v1(constB8))),
% 15.17/10.42 inference(tautology,[status(thm)],[])).
% 15.17/10.42 tff(12842,plain,
% 15.17/10.42 ((~((~v39(constB8)) <=> v1(constB8))) | (~v39(constB8))),
% 15.17/10.42 inference(unit_resolution,[status(thm)],[12841, 3005])).
% 15.17/10.42 tff(12843,plain,
% 15.17/10.42 (~v39(constB8)),
% 15.17/10.42 inference(unit_resolution,[status(thm)],[12842, 12840])).
% 15.17/10.42 tff(12844,plain,
% 15.17/10.42 (((~v39(constB8)) | (~v9(constB8))) | v39(constB8)),
% 15.17/10.42 inference(tautology,[status(thm)],[])).
% 15.17/10.42 tff(12845,plain,
% 15.17/10.42 ((~v39(constB8)) | (~v9(constB8))),
% 15.17/10.42 inference(unit_resolution,[status(thm)],[12844, 12843])).
% 15.17/10.42 tff(12846,plain,
% 15.17/10.42 ((~(v141(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))) | (~v141(constB8)) | (~((~v39(constB8)) | (~v9(constB8))))),
% 15.17/10.42 inference(tautology,[status(thm)],[])).
% 15.17/10.42 tff(12847,plain,
% 15.17/10.42 ((~(v141(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))) | (~v141(constB8))),
% 15.17/10.42 inference(unit_resolution,[status(thm)],[12846, 12845])).
% 15.17/10.42 tff(12848,plain,
% 15.17/10.42 (~v141(constB8)),
% 15.17/10.42 inference(unit_resolution,[status(thm)],[12847, 12838])).
% 15.17/10.42 tff(12849,plain,
% 15.17/10.42 (((~v141(constB8)) | (~v143(constB8))) | v141(constB8)),
% 15.17/10.42 inference(tautology,[status(thm)],[])).
% 15.17/10.42 tff(12850,plain,
% 15.17/10.42 ((~v141(constB8)) | (~v143(constB8))),
% 15.17/10.42 inference(unit_resolution,[status(thm)],[12849, 12848])).
% 15.17/10.42 tff(12851,plain,
% 15.17/10.42 ((~(v155(constB8) <=> (~((~v141(constB8)) | (~v143(constB8)))))) | (~v155(constB8)) | (~((~v141(constB8)) | (~v143(constB8))))),
% 15.28/10.42 inference(tautology,[status(thm)],[])).
% 15.28/10.42 tff(12852,plain,
% 15.28/10.42 ((~(v155(constB8) <=> (~((~v141(constB8)) | (~v143(constB8)))))) | (~v155(constB8))),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12851, 12850])).
% 15.28/10.42 tff(12853,plain,
% 15.28/10.42 (~v155(constB8)),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12852, 12836])).
% 15.28/10.42 tff(12854,plain,
% 15.28/10.42 (((~v130(constB8)) | (~v155(constB8))) | v155(constB8)),
% 15.28/10.42 inference(tautology,[status(thm)],[])).
% 15.28/10.42 tff(12855,plain,
% 15.28/10.42 ((~v130(constB8)) | (~v155(constB8))),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12854, 12853])).
% 15.28/10.42 tff(12856,plain,
% 15.28/10.42 ((~(v164(constB8) <=> (~((~v130(constB8)) | (~v155(constB8)))))) | (~v164(constB8)) | (~((~v130(constB8)) | (~v155(constB8))))),
% 15.28/10.42 inference(tautology,[status(thm)],[])).
% 15.28/10.42 tff(12857,plain,
% 15.28/10.42 (~v164(constB8)),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12856, 12855, 12829])).
% 15.28/10.42 tff(12858,plain,
% 15.28/10.42 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB8) <=> (~((~v128(constB8)) | (~v139(constB8)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB8) <=> (~((~v128(constB8)) | (~v139(constB8))))))),
% 15.28/10.42 inference(rewrite,[status(thm)],[])).
% 15.28/10.42 tff(12859,plain,
% 15.28/10.42 ((v163(constB8) <=> (~((~v139(constB8)) | (~v128(constB8))))) <=> (v163(constB8) <=> (~((~v128(constB8)) | (~v139(constB8)))))),
% 15.28/10.42 inference(rewrite,[status(thm)],[])).
% 15.28/10.42 tff(12860,plain,
% 15.28/10.42 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB8) <=> (~((~v139(constB8)) | (~v128(constB8)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB8) <=> (~((~v128(constB8)) | (~v139(constB8))))))),
% 15.28/10.42 inference(monotonicity,[status(thm)],[12859])).
% 15.28/10.42 tff(12861,plain,
% 15.28/10.42 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB8) <=> (~((~v139(constB8)) | (~v128(constB8)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB8) <=> (~((~v128(constB8)) | (~v139(constB8))))))),
% 15.28/10.42 inference(transitivity,[status(thm)],[12860, 12858])).
% 15.28/10.42 tff(12862,plain,
% 15.28/10.42 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB8) <=> (~((~v139(constB8)) | (~v128(constB8)))))),
% 15.28/10.42 inference(quant_inst,[status(thm)],[])).
% 15.28/10.42 tff(12863,plain,
% 15.28/10.42 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB8) <=> (~((~v128(constB8)) | (~v139(constB8)))))),
% 15.28/10.42 inference(modus_ponens,[status(thm)],[12862, 12861])).
% 15.28/10.42 tff(12864,plain,
% 15.28/10.42 (v163(constB8) <=> (~((~v128(constB8)) | (~v139(constB8))))),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12863, 171])).
% 15.28/10.42 tff(12865,plain,
% 15.28/10.42 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB8) <=> v162(constB8))),
% 15.28/10.42 inference(quant_inst,[status(thm)],[])).
% 15.28/10.42 tff(12866,plain,
% 15.28/10.42 (v128(constB8) <=> v162(constB8)),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12865, 13])).
% 15.28/10.42 tff(12867,plain,
% 15.28/10.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB7, constB8)) | (v162(constB8) <=> v160(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB7, constB8)) | (v162(constB8) <=> v160(constB7)))),
% 15.28/10.42 inference(rewrite,[status(thm)],[])).
% 15.28/10.42 tff(12868,plain,
% 15.28/10.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB7, constB8)) | (v162(constB8) <=> v160(constB7)))),
% 15.28/10.42 inference(quant_inst,[status(thm)],[])).
% 15.28/10.42 tff(12869,plain,
% 15.28/10.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB7, constB8)) | (v162(constB8) <=> v160(constB7))),
% 15.28/10.42 inference(modus_ponens,[status(thm)],[12868, 12867])).
% 15.28/10.42 tff(12870,plain,
% 15.28/10.42 (v162(constB8) <=> v160(constB7)),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12869, 2015, 70])).
% 15.28/10.42 tff(12871,plain,
% 15.28/10.42 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB7) <=> (v163(constB7) | v164(constB7)))),
% 15.28/10.42 inference(quant_inst,[status(thm)],[])).
% 15.28/10.42 tff(12872,plain,
% 15.28/10.42 (v160(constB7) <=> (v163(constB7) | v164(constB7))),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12871, 84])).
% 15.28/10.42 tff(12873,plain,
% 15.28/10.42 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB7) <=> (~((~v128(constB7)) | (~v139(constB7)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB7) <=> (~((~v128(constB7)) | (~v139(constB7))))))),
% 15.28/10.42 inference(rewrite,[status(thm)],[])).
% 15.28/10.42 tff(12874,plain,
% 15.28/10.42 ((v163(constB7) <=> (~((~v139(constB7)) | (~v128(constB7))))) <=> (v163(constB7) <=> (~((~v128(constB7)) | (~v139(constB7)))))),
% 15.28/10.42 inference(rewrite,[status(thm)],[])).
% 15.28/10.42 tff(12875,plain,
% 15.28/10.42 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB7) <=> (~((~v139(constB7)) | (~v128(constB7)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB7) <=> (~((~v128(constB7)) | (~v139(constB7))))))),
% 15.28/10.42 inference(monotonicity,[status(thm)],[12874])).
% 15.28/10.42 tff(12876,plain,
% 15.28/10.42 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB7) <=> (~((~v139(constB7)) | (~v128(constB7)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB7) <=> (~((~v128(constB7)) | (~v139(constB7))))))),
% 15.28/10.42 inference(transitivity,[status(thm)],[12875, 12873])).
% 15.28/10.42 tff(12877,plain,
% 15.28/10.42 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB7) <=> (~((~v139(constB7)) | (~v128(constB7)))))),
% 15.28/10.42 inference(quant_inst,[status(thm)],[])).
% 15.28/10.42 tff(12878,plain,
% 15.28/10.42 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB7) <=> (~((~v128(constB7)) | (~v139(constB7)))))),
% 15.28/10.42 inference(modus_ponens,[status(thm)],[12877, 12876])).
% 15.28/10.42 tff(12879,plain,
% 15.28/10.42 (v163(constB7) <=> (~((~v128(constB7)) | (~v139(constB7))))),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12878, 171])).
% 15.28/10.42 tff(12880,plain,
% 15.28/10.42 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB7) <=> v162(constB7))),
% 15.28/10.42 inference(quant_inst,[status(thm)],[])).
% 15.28/10.42 tff(12881,plain,
% 15.28/10.42 (v128(constB7) <=> v162(constB7)),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12880, 13])).
% 15.28/10.42 tff(12882,plain,
% 15.28/10.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB6, constB7)) | (v162(constB7) <=> v160(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB6, constB7)) | (v162(constB7) <=> v160(constB6)))),
% 15.28/10.42 inference(rewrite,[status(thm)],[])).
% 15.28/10.42 tff(12883,plain,
% 15.28/10.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB6, constB7)) | (v162(constB7) <=> v160(constB6)))),
% 15.28/10.42 inference(quant_inst,[status(thm)],[])).
% 15.28/10.42 tff(12884,plain,
% 15.28/10.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB6, constB7)) | (v162(constB7) <=> v160(constB6))),
% 15.28/10.42 inference(modus_ponens,[status(thm)],[12883, 12882])).
% 15.28/10.42 tff(12885,plain,
% 15.28/10.42 (v162(constB7) <=> v160(constB6)),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12884, 2040, 70])).
% 15.28/10.42 tff(12886,plain,
% 15.28/10.42 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB6) <=> (v163(constB6) | v164(constB6)))),
% 15.28/10.42 inference(quant_inst,[status(thm)],[])).
% 15.28/10.42 tff(12887,plain,
% 15.28/10.42 (v160(constB6) <=> (v163(constB6) | v164(constB6))),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12886, 84])).
% 15.28/10.42 tff(12888,plain,
% 15.28/10.42 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v130(constB6)) | (~v155(constB6)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v130(constB6)) | (~v155(constB6))))))),
% 15.28/10.42 inference(rewrite,[status(thm)],[])).
% 15.28/10.42 tff(12889,plain,
% 15.28/10.42 ((v164(constB6) <=> (~((~v155(constB6)) | (~v130(constB6))))) <=> (v164(constB6) <=> (~((~v130(constB6)) | (~v155(constB6)))))),
% 15.28/10.42 inference(rewrite,[status(thm)],[])).
% 15.28/10.42 tff(12890,plain,
% 15.28/10.42 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v155(constB6)) | (~v130(constB6)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v130(constB6)) | (~v155(constB6))))))),
% 15.28/10.42 inference(monotonicity,[status(thm)],[12889])).
% 15.28/10.42 tff(12891,plain,
% 15.28/10.42 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v155(constB6)) | (~v130(constB6)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v130(constB6)) | (~v155(constB6))))))),
% 15.28/10.42 inference(transitivity,[status(thm)],[12890, 12888])).
% 15.28/10.42 tff(12892,plain,
% 15.28/10.42 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v155(constB6)) | (~v130(constB6)))))),
% 15.28/10.42 inference(quant_inst,[status(thm)],[])).
% 15.28/10.42 tff(12893,plain,
% 15.28/10.42 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v130(constB6)) | (~v155(constB6)))))),
% 15.28/10.42 inference(modus_ponens,[status(thm)],[12892, 12891])).
% 15.28/10.42 tff(12894,plain,
% 15.28/10.42 (v164(constB6) <=> (~((~v130(constB6)) | (~v155(constB6))))),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12893, 96])).
% 15.28/10.42 tff(12895,plain,
% 15.28/10.42 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB6) <=> (~((~v141(constB6)) | (~v143(constB6)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB6) <=> (~((~v141(constB6)) | (~v143(constB6))))))),
% 15.28/10.42 inference(rewrite,[status(thm)],[])).
% 15.28/10.42 tff(12896,plain,
% 15.28/10.42 ((v155(constB6) <=> (~((~v143(constB6)) | (~v141(constB6))))) <=> (v155(constB6) <=> (~((~v141(constB6)) | (~v143(constB6)))))),
% 15.28/10.42 inference(rewrite,[status(thm)],[])).
% 15.28/10.42 tff(12897,plain,
% 15.28/10.42 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB6) <=> (~((~v143(constB6)) | (~v141(constB6)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB6) <=> (~((~v141(constB6)) | (~v143(constB6))))))),
% 15.28/10.42 inference(monotonicity,[status(thm)],[12896])).
% 15.28/10.42 tff(12898,plain,
% 15.28/10.42 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB6) <=> (~((~v143(constB6)) | (~v141(constB6)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB6) <=> (~((~v141(constB6)) | (~v143(constB6))))))),
% 15.28/10.42 inference(transitivity,[status(thm)],[12897, 12895])).
% 15.28/10.42 tff(12899,plain,
% 15.28/10.42 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB6) <=> (~((~v143(constB6)) | (~v141(constB6)))))),
% 15.28/10.42 inference(quant_inst,[status(thm)],[])).
% 15.28/10.42 tff(12900,plain,
% 15.28/10.42 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB6) <=> (~((~v141(constB6)) | (~v143(constB6)))))),
% 15.28/10.42 inference(modus_ponens,[status(thm)],[12899, 12898])).
% 15.28/10.42 tff(12901,plain,
% 15.28/10.42 (v155(constB6) <=> (~((~v141(constB6)) | (~v143(constB6))))),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12900, 113])).
% 15.28/10.42 tff(12902,plain,
% 15.28/10.42 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))),
% 15.28/10.42 inference(quant_inst,[status(thm)],[])).
% 15.28/10.42 tff(12903,plain,
% 15.28/10.42 (v141(constB6) <=> (~((~v39(constB6)) | (~v9(constB6))))),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12902, 130])).
% 15.28/10.42 tff(12904,plain,
% 15.28/10.42 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB6)) <=> v1(constB6))),
% 15.28/10.42 inference(quant_inst,[status(thm)],[])).
% 15.28/10.42 tff(12905,plain,
% 15.28/10.42 ((~v39(constB6)) <=> v1(constB6)),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12904, 139])).
% 15.28/10.42 tff(12906,plain,
% 15.28/10.42 ((~((~v39(constB6)) <=> v1(constB6))) | (~v39(constB6)) | (~v1(constB6))),
% 15.28/10.42 inference(tautology,[status(thm)],[])).
% 15.28/10.42 tff(12907,plain,
% 15.28/10.42 ((~((~v39(constB6)) <=> v1(constB6))) | (~v39(constB6))),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12906, 2821])).
% 15.28/10.42 tff(12908,plain,
% 15.28/10.42 (~v39(constB6)),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12907, 12905])).
% 15.28/10.42 tff(12909,plain,
% 15.28/10.42 (((~v39(constB6)) | (~v9(constB6))) | v39(constB6)),
% 15.28/10.42 inference(tautology,[status(thm)],[])).
% 15.28/10.42 tff(12910,plain,
% 15.28/10.42 ((~v39(constB6)) | (~v9(constB6))),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12909, 12908])).
% 15.28/10.42 tff(12911,plain,
% 15.28/10.42 ((~(v141(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))) | (~v141(constB6)) | (~((~v39(constB6)) | (~v9(constB6))))),
% 15.28/10.42 inference(tautology,[status(thm)],[])).
% 15.28/10.42 tff(12912,plain,
% 15.28/10.42 ((~(v141(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))) | (~v141(constB6))),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12911, 12910])).
% 15.28/10.42 tff(12913,plain,
% 15.28/10.42 (~v141(constB6)),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12912, 12903])).
% 15.28/10.42 tff(12914,plain,
% 15.28/10.42 (((~v141(constB6)) | (~v143(constB6))) | v141(constB6)),
% 15.28/10.42 inference(tautology,[status(thm)],[])).
% 15.28/10.42 tff(12915,plain,
% 15.28/10.42 ((~v141(constB6)) | (~v143(constB6))),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12914, 12913])).
% 15.28/10.42 tff(12916,plain,
% 15.28/10.42 ((~(v155(constB6) <=> (~((~v141(constB6)) | (~v143(constB6)))))) | (~v155(constB6)) | (~((~v141(constB6)) | (~v143(constB6))))),
% 15.28/10.42 inference(tautology,[status(thm)],[])).
% 15.28/10.42 tff(12917,plain,
% 15.28/10.42 ((~(v155(constB6) <=> (~((~v141(constB6)) | (~v143(constB6)))))) | (~v155(constB6))),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12916, 12915])).
% 15.28/10.42 tff(12918,plain,
% 15.28/10.42 (~v155(constB6)),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12917, 12901])).
% 15.28/10.42 tff(12919,plain,
% 15.28/10.42 (((~v130(constB6)) | (~v155(constB6))) | v155(constB6)),
% 15.28/10.42 inference(tautology,[status(thm)],[])).
% 15.28/10.42 tff(12920,plain,
% 15.28/10.42 ((~v130(constB6)) | (~v155(constB6))),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12919, 12918])).
% 15.28/10.42 tff(12921,plain,
% 15.28/10.42 ((~(v164(constB6) <=> (~((~v130(constB6)) | (~v155(constB6)))))) | (~v164(constB6)) | (~((~v130(constB6)) | (~v155(constB6))))),
% 15.28/10.42 inference(tautology,[status(thm)],[])).
% 15.28/10.42 tff(12922,plain,
% 15.28/10.42 (~v164(constB6)),
% 15.28/10.42 inference(unit_resolution,[status(thm)],[12921, 12920, 12894])).
% 15.28/10.42 tff(12923,plain,
% 15.28/10.42 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6))))))),
% 15.28/10.42 inference(rewrite,[status(thm)],[])).
% 15.28/10.42 tff(12924,plain,
% 15.28/10.42 ((v163(constB6) <=> (~((~v139(constB6)) | (~v128(constB6))))) <=> (v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6)))))),
% 15.28/10.42 inference(rewrite,[status(thm)],[])).
% 15.28/10.42 tff(12925,plain,
% 15.28/10.42 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v139(constB6)) | (~v128(constB6)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6))))))),
% 15.28/10.42 inference(monotonicity,[status(thm)],[12924])).
% 15.28/10.42 tff(12926,plain,
% 15.28/10.42 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v139(constB6)) | (~v128(constB6)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6))))))),
% 15.28/10.43 inference(transitivity,[status(thm)],[12925, 12923])).
% 15.28/10.43 tff(12927,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v139(constB6)) | (~v128(constB6)))))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(12928,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6)))))),
% 15.28/10.43 inference(modus_ponens,[status(thm)],[12927, 12926])).
% 15.28/10.43 tff(12929,plain,
% 15.28/10.43 (v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6))))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12928, 171])).
% 15.28/10.43 tff(12930,plain,
% 15.28/10.43 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB6) <=> v162(constB6))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(12931,plain,
% 15.28/10.43 (v128(constB6) <=> v162(constB6)),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12930, 13])).
% 15.28/10.43 tff(12932,plain,
% 15.28/10.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB5, constB6)) | (v162(constB6) <=> v160(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB5, constB6)) | (v162(constB6) <=> v160(constB5)))),
% 15.28/10.43 inference(rewrite,[status(thm)],[])).
% 15.28/10.43 tff(12933,plain,
% 15.28/10.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB5, constB6)) | (v162(constB6) <=> v160(constB5)))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(12934,plain,
% 15.28/10.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB5, constB6)) | (v162(constB6) <=> v160(constB5))),
% 15.28/10.43 inference(modus_ponens,[status(thm)],[12933, 12932])).
% 15.28/10.43 tff(12935,plain,
% 15.28/10.43 (v162(constB6) <=> v160(constB5)),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12934, 2076, 70])).
% 15.28/10.43 tff(12936,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB5) <=> (v163(constB5) | v164(constB5)))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(12937,plain,
% 15.28/10.43 (v160(constB5) <=> (v163(constB5) | v164(constB5))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12936, 84])).
% 15.28/10.43 tff(12938,plain,
% 15.28/10.43 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v130(constB5)) | (~v155(constB5)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v130(constB5)) | (~v155(constB5))))))),
% 15.28/10.43 inference(rewrite,[status(thm)],[])).
% 15.28/10.43 tff(12939,plain,
% 15.28/10.43 ((v164(constB5) <=> (~((~v155(constB5)) | (~v130(constB5))))) <=> (v164(constB5) <=> (~((~v130(constB5)) | (~v155(constB5)))))),
% 15.28/10.43 inference(rewrite,[status(thm)],[])).
% 15.28/10.43 tff(12940,plain,
% 15.28/10.43 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v155(constB5)) | (~v130(constB5)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v130(constB5)) | (~v155(constB5))))))),
% 15.28/10.43 inference(monotonicity,[status(thm)],[12939])).
% 15.28/10.43 tff(12941,plain,
% 15.28/10.43 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v155(constB5)) | (~v130(constB5)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v130(constB5)) | (~v155(constB5))))))),
% 15.28/10.43 inference(transitivity,[status(thm)],[12940, 12938])).
% 15.28/10.43 tff(12942,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v155(constB5)) | (~v130(constB5)))))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(12943,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v130(constB5)) | (~v155(constB5)))))),
% 15.28/10.43 inference(modus_ponens,[status(thm)],[12942, 12941])).
% 15.28/10.43 tff(12944,plain,
% 15.28/10.43 (v164(constB5) <=> (~((~v130(constB5)) | (~v155(constB5))))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12943, 96])).
% 15.28/10.43 tff(12945,plain,
% 15.28/10.43 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB5) <=> v152(constB5))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(12946,plain,
% 15.28/10.43 (v130(constB5) <=> v152(constB5)),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12945, 361])).
% 15.28/10.43 tff(12947,plain,
% 15.28/10.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB4, constB5)) | (v152(constB5) <=> v150(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB4, constB5)) | (v152(constB5) <=> v150(constB4)))),
% 15.28/10.43 inference(rewrite,[status(thm)],[])).
% 15.28/10.43 tff(12948,plain,
% 15.28/10.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB4, constB5)) | (v152(constB5) <=> v150(constB4)))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(12949,plain,
% 15.28/10.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB4, constB5)) | (v152(constB5) <=> v150(constB4))),
% 15.28/10.43 inference(modus_ponens,[status(thm)],[12948, 12947])).
% 15.28/10.43 tff(12950,plain,
% 15.28/10.43 (v152(constB5) <=> v150(constB4)),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12949, 2101, 373])).
% 15.28/10.43 tff(12951,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB4) <=> (v153(constB4) | v154(constB4)))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(12952,plain,
% 15.28/10.43 (v150(constB4) <=> (v153(constB4) | v154(constB4))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12951, 387])).
% 15.28/10.43 tff(12953,plain,
% 15.28/10.43 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB4) <=> (~((~v132(constB4)) | (~v155(constB4)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB4) <=> (~((~v132(constB4)) | (~v155(constB4))))))),
% 15.28/10.43 inference(rewrite,[status(thm)],[])).
% 15.28/10.43 tff(12954,plain,
% 15.28/10.43 ((v154(constB4) <=> (~((~v155(constB4)) | (~v132(constB4))))) <=> (v154(constB4) <=> (~((~v132(constB4)) | (~v155(constB4)))))),
% 15.28/10.43 inference(rewrite,[status(thm)],[])).
% 15.28/10.43 tff(12955,plain,
% 15.28/10.43 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB4) <=> (~((~v155(constB4)) | (~v132(constB4)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB4) <=> (~((~v132(constB4)) | (~v155(constB4))))))),
% 15.28/10.43 inference(monotonicity,[status(thm)],[12954])).
% 15.28/10.43 tff(12956,plain,
% 15.28/10.43 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB4) <=> (~((~v155(constB4)) | (~v132(constB4)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB4) <=> (~((~v132(constB4)) | (~v155(constB4))))))),
% 15.28/10.43 inference(transitivity,[status(thm)],[12955, 12953])).
% 15.28/10.43 tff(12957,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB4) <=> (~((~v155(constB4)) | (~v132(constB4)))))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(12958,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB4) <=> (~((~v132(constB4)) | (~v155(constB4)))))),
% 15.28/10.43 inference(modus_ponens,[status(thm)],[12957, 12956])).
% 15.28/10.43 tff(12959,plain,
% 15.28/10.43 (v154(constB4) <=> (~((~v132(constB4)) | (~v155(constB4))))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12958, 399])).
% 15.28/10.43 tff(12960,plain,
% 15.28/10.43 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB4) <=> (~((~v141(constB4)) | (~v143(constB4)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB4) <=> (~((~v141(constB4)) | (~v143(constB4))))))),
% 15.28/10.43 inference(rewrite,[status(thm)],[])).
% 15.28/10.43 tff(12961,plain,
% 15.28/10.43 ((v155(constB4) <=> (~((~v143(constB4)) | (~v141(constB4))))) <=> (v155(constB4) <=> (~((~v141(constB4)) | (~v143(constB4)))))),
% 15.28/10.43 inference(rewrite,[status(thm)],[])).
% 15.28/10.43 tff(12962,plain,
% 15.28/10.43 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB4) <=> (~((~v143(constB4)) | (~v141(constB4)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB4) <=> (~((~v141(constB4)) | (~v143(constB4))))))),
% 15.28/10.43 inference(monotonicity,[status(thm)],[12961])).
% 15.28/10.43 tff(12963,plain,
% 15.28/10.43 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB4) <=> (~((~v143(constB4)) | (~v141(constB4)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB4) <=> (~((~v141(constB4)) | (~v143(constB4))))))),
% 15.28/10.43 inference(transitivity,[status(thm)],[12962, 12960])).
% 15.28/10.43 tff(12964,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB4) <=> (~((~v143(constB4)) | (~v141(constB4)))))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(12965,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB4) <=> (~((~v141(constB4)) | (~v143(constB4)))))),
% 15.28/10.43 inference(modus_ponens,[status(thm)],[12964, 12963])).
% 15.28/10.43 tff(12966,plain,
% 15.28/10.43 (v155(constB4) <=> (~((~v141(constB4)) | (~v143(constB4))))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12965, 113])).
% 15.28/10.43 tff(12967,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB4) <=> (~((~v39(constB4)) | (~v9(constB4)))))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(12968,plain,
% 15.28/10.43 (v141(constB4) <=> (~((~v39(constB4)) | (~v9(constB4))))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12967, 130])).
% 15.28/10.43 tff(12969,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB4)) <=> v1(constB4))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(12970,plain,
% 15.28/10.43 ((~v39(constB4)) <=> v1(constB4)),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12969, 139])).
% 15.28/10.43 tff(12971,plain,
% 15.28/10.43 ((~((~v39(constB4)) <=> v1(constB4))) | (~v39(constB4)) | (~v1(constB4))),
% 15.28/10.43 inference(tautology,[status(thm)],[])).
% 15.28/10.43 tff(12972,plain,
% 15.28/10.43 ((~((~v39(constB4)) <=> v1(constB4))) | (~v39(constB4))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12971, 2622])).
% 15.28/10.43 tff(12973,plain,
% 15.28/10.43 (~v39(constB4)),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12972, 12970])).
% 15.28/10.43 tff(12974,plain,
% 15.28/10.43 (((~v39(constB4)) | (~v9(constB4))) | v39(constB4)),
% 15.28/10.43 inference(tautology,[status(thm)],[])).
% 15.28/10.43 tff(12975,plain,
% 15.28/10.43 ((~v39(constB4)) | (~v9(constB4))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12974, 12973])).
% 15.28/10.43 tff(12976,plain,
% 15.28/10.43 ((~(v141(constB4) <=> (~((~v39(constB4)) | (~v9(constB4)))))) | (~v141(constB4)) | (~((~v39(constB4)) | (~v9(constB4))))),
% 15.28/10.43 inference(tautology,[status(thm)],[])).
% 15.28/10.43 tff(12977,plain,
% 15.28/10.43 ((~(v141(constB4) <=> (~((~v39(constB4)) | (~v9(constB4)))))) | (~v141(constB4))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12976, 12975])).
% 15.28/10.43 tff(12978,plain,
% 15.28/10.43 (~v141(constB4)),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12977, 12968])).
% 15.28/10.43 tff(12979,plain,
% 15.28/10.43 (((~v141(constB4)) | (~v143(constB4))) | v141(constB4)),
% 15.28/10.43 inference(tautology,[status(thm)],[])).
% 15.28/10.43 tff(12980,plain,
% 15.28/10.43 ((~v141(constB4)) | (~v143(constB4))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12979, 12978])).
% 15.28/10.43 tff(12981,plain,
% 15.28/10.43 ((~(v155(constB4) <=> (~((~v141(constB4)) | (~v143(constB4)))))) | (~v155(constB4)) | (~((~v141(constB4)) | (~v143(constB4))))),
% 15.28/10.43 inference(tautology,[status(thm)],[])).
% 15.28/10.43 tff(12982,plain,
% 15.28/10.43 ((~(v155(constB4) <=> (~((~v141(constB4)) | (~v143(constB4)))))) | (~v155(constB4))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12981, 12980])).
% 15.28/10.43 tff(12983,plain,
% 15.28/10.43 (~v155(constB4)),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12982, 12966])).
% 15.28/10.43 tff(12984,plain,
% 15.28/10.43 (((~v132(constB4)) | (~v155(constB4))) | v155(constB4)),
% 15.28/10.43 inference(tautology,[status(thm)],[])).
% 15.28/10.43 tff(12985,plain,
% 15.28/10.43 ((~v132(constB4)) | (~v155(constB4))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12984, 12983])).
% 15.28/10.43 tff(12986,plain,
% 15.28/10.43 ((~(v154(constB4) <=> (~((~v132(constB4)) | (~v155(constB4)))))) | (~v154(constB4)) | (~((~v132(constB4)) | (~v155(constB4))))),
% 15.28/10.43 inference(tautology,[status(thm)],[])).
% 15.28/10.43 tff(12987,plain,
% 15.28/10.43 (~v154(constB4)),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12986, 12985, 12959])).
% 15.28/10.43 tff(12988,plain,
% 15.28/10.43 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB4) <=> (~((~v130(constB4)) | (~v139(constB4)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB4) <=> (~((~v130(constB4)) | (~v139(constB4))))))),
% 15.28/10.43 inference(rewrite,[status(thm)],[])).
% 15.28/10.43 tff(12989,plain,
% 15.28/10.43 ((v153(constB4) <=> (~((~v139(constB4)) | (~v130(constB4))))) <=> (v153(constB4) <=> (~((~v130(constB4)) | (~v139(constB4)))))),
% 15.28/10.43 inference(rewrite,[status(thm)],[])).
% 15.28/10.43 tff(12990,plain,
% 15.28/10.43 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB4) <=> (~((~v139(constB4)) | (~v130(constB4)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB4) <=> (~((~v130(constB4)) | (~v139(constB4))))))),
% 15.28/10.43 inference(monotonicity,[status(thm)],[12989])).
% 15.28/10.43 tff(12991,plain,
% 15.28/10.43 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB4) <=> (~((~v139(constB4)) | (~v130(constB4)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB4) <=> (~((~v130(constB4)) | (~v139(constB4))))))),
% 15.28/10.43 inference(transitivity,[status(thm)],[12990, 12988])).
% 15.28/10.43 tff(12992,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB4) <=> (~((~v139(constB4)) | (~v130(constB4)))))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(12993,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB4) <=> (~((~v130(constB4)) | (~v139(constB4)))))),
% 15.28/10.43 inference(modus_ponens,[status(thm)],[12992, 12991])).
% 15.28/10.43 tff(12994,plain,
% 15.28/10.43 (v153(constB4) <=> (~((~v130(constB4)) | (~v139(constB4))))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12993, 447])).
% 15.28/10.43 tff(12995,plain,
% 15.28/10.43 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB4) <=> v152(constB4))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(12996,plain,
% 15.28/10.43 (v130(constB4) <=> v152(constB4)),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12995, 361])).
% 15.28/10.43 tff(12997,plain,
% 15.28/10.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB3, constB4)) | (v152(constB4) <=> v150(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB3, constB4)) | (v152(constB4) <=> v150(constB3)))),
% 15.28/10.43 inference(rewrite,[status(thm)],[])).
% 15.28/10.43 tff(12998,plain,
% 15.28/10.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB3, constB4)) | (v152(constB4) <=> v150(constB3)))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(12999,plain,
% 15.28/10.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB3, constB4)) | (v152(constB4) <=> v150(constB3))),
% 15.28/10.43 inference(modus_ponens,[status(thm)],[12998, 12997])).
% 15.28/10.43 tff(13000,plain,
% 15.28/10.43 (v152(constB4) <=> v150(constB3)),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[12999, 2137, 373])).
% 15.28/10.43 tff(13001,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB3) <=> (v153(constB3) | v154(constB3)))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(13002,plain,
% 15.28/10.43 (v150(constB3) <=> (v153(constB3) | v154(constB3))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[13001, 387])).
% 15.28/10.43 tff(13003,plain,
% 15.28/10.43 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB3) <=> (~((~v132(constB3)) | (~v155(constB3)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB3) <=> (~((~v132(constB3)) | (~v155(constB3))))))),
% 15.28/10.43 inference(rewrite,[status(thm)],[])).
% 15.28/10.43 tff(13004,plain,
% 15.28/10.43 ((v154(constB3) <=> (~((~v155(constB3)) | (~v132(constB3))))) <=> (v154(constB3) <=> (~((~v132(constB3)) | (~v155(constB3)))))),
% 15.28/10.43 inference(rewrite,[status(thm)],[])).
% 15.28/10.43 tff(13005,plain,
% 15.28/10.43 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB3) <=> (~((~v155(constB3)) | (~v132(constB3)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB3) <=> (~((~v132(constB3)) | (~v155(constB3))))))),
% 15.28/10.43 inference(monotonicity,[status(thm)],[13004])).
% 15.28/10.43 tff(13006,plain,
% 15.28/10.43 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB3) <=> (~((~v155(constB3)) | (~v132(constB3)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB3) <=> (~((~v132(constB3)) | (~v155(constB3))))))),
% 15.28/10.43 inference(transitivity,[status(thm)],[13005, 13003])).
% 15.28/10.43 tff(13007,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB3) <=> (~((~v155(constB3)) | (~v132(constB3)))))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(13008,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB3) <=> (~((~v132(constB3)) | (~v155(constB3)))))),
% 15.28/10.43 inference(modus_ponens,[status(thm)],[13007, 13006])).
% 15.28/10.43 tff(13009,plain,
% 15.28/10.43 (v154(constB3) <=> (~((~v132(constB3)) | (~v155(constB3))))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[13008, 399])).
% 15.28/10.43 tff(13010,plain,
% 15.28/10.43 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB3) <=> v137(constB3))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(13011,plain,
% 15.28/10.43 (v132(constB3) <=> v137(constB3)),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[13010, 558])).
% 15.28/10.43 tff(13012,plain,
% 15.28/10.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB2, constB3)) | (v137(constB3) <=> v135(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB2, constB3)) | (v137(constB3) <=> v135(constB2)))),
% 15.28/10.43 inference(rewrite,[status(thm)],[])).
% 15.28/10.43 tff(13013,plain,
% 15.28/10.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB2, constB3)) | (v137(constB3) <=> v135(constB2)))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(13014,plain,
% 15.28/10.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB2, constB3)) | (v137(constB3) <=> v135(constB2))),
% 15.28/10.43 inference(modus_ponens,[status(thm)],[13013, 13012])).
% 15.28/10.43 tff(13015,plain,
% 15.28/10.43 (v137(constB3) <=> v135(constB2)),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[13014, 2167, 570])).
% 15.28/10.43 tff(13016,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB2) <=> (v138(constB2) | v142(constB2)))),
% 15.28/10.43 inference(quant_inst,[status(thm)],[])).
% 15.28/10.43 tff(13017,plain,
% 15.28/10.43 (v135(constB2) <=> (v138(constB2) | v142(constB2))),
% 15.28/10.43 inference(unit_resolution,[status(thm)],[13016, 584])).
% 15.28/10.43 tff(13018,plain,
% 15.28/10.43 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB2) <=> (~((~v143(constB2)) | (~v144(constB2)))))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13019,plain,
% 15.28/10.44 (v142(constB2) <=> (~((~v143(constB2)) | (~v144(constB2))))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13018, 596])).
% 15.28/10.44 tff(13020,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB2) <=> (~((~v141(constB2)) | (~v145(constB2)))))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13021,plain,
% 15.28/10.44 (v144(constB2) <=> (~((~v141(constB2)) | (~v145(constB2))))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13020, 608])).
% 15.28/10.44 tff(13022,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13023,plain,
% 15.28/10.44 (v141(constB2) <=> (~((~v39(constB2)) | (~v9(constB2))))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13022, 130])).
% 15.28/10.44 tff(13024,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB2)) <=> v1(constB2))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13025,plain,
% 15.28/10.44 ((~v39(constB2)) <=> v1(constB2)),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13024, 139])).
% 15.28/10.44 tff(13026,plain,
% 15.28/10.44 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2)) | (~v1(constB2))),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13027,plain,
% 15.28/10.44 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13026, 2358])).
% 15.28/10.44 tff(13028,plain,
% 15.28/10.44 (~v39(constB2)),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13027, 13025])).
% 15.28/10.44 tff(13029,plain,
% 15.28/10.44 (((~v39(constB2)) | (~v9(constB2))) | v39(constB2)),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13030,plain,
% 15.28/10.44 ((~v39(constB2)) | (~v9(constB2))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13029, 13028])).
% 15.28/10.44 tff(13031,plain,
% 15.28/10.44 ((~(v141(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v141(constB2)) | (~((~v39(constB2)) | (~v9(constB2))))),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13032,plain,
% 15.28/10.44 ((~(v141(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v141(constB2))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13031, 13030])).
% 15.28/10.44 tff(13033,plain,
% 15.28/10.44 (~v141(constB2)),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13032, 13023])).
% 15.28/10.44 tff(13034,plain,
% 15.28/10.44 (((~v141(constB2)) | (~v145(constB2))) | v141(constB2)),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13035,plain,
% 15.28/10.44 ((~v141(constB2)) | (~v145(constB2))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13034, 13033])).
% 15.28/10.44 tff(13036,plain,
% 15.28/10.44 ((~(v144(constB2) <=> (~((~v141(constB2)) | (~v145(constB2)))))) | (~v144(constB2)) | (~((~v141(constB2)) | (~v145(constB2))))),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13037,plain,
% 15.28/10.44 ((~(v144(constB2) <=> (~((~v141(constB2)) | (~v145(constB2)))))) | (~v144(constB2))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13036, 13035])).
% 15.28/10.44 tff(13038,plain,
% 15.28/10.44 (~v144(constB2)),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13037, 13021])).
% 15.28/10.44 tff(13039,plain,
% 15.28/10.44 (((~v143(constB2)) | (~v144(constB2))) | v144(constB2)),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13040,plain,
% 15.28/10.44 ((~v143(constB2)) | (~v144(constB2))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13039, 13038])).
% 15.28/10.44 tff(13041,plain,
% 15.28/10.44 ((~(v142(constB2) <=> (~((~v143(constB2)) | (~v144(constB2)))))) | (~v142(constB2)) | (~((~v143(constB2)) | (~v144(constB2))))),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13042,plain,
% 15.28/10.44 (~v142(constB2)),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13041, 13040, 13019])).
% 15.28/10.44 tff(13043,plain,
% 15.28/10.44 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2))))))),
% 15.28/10.44 inference(rewrite,[status(thm)],[])).
% 15.28/10.44 tff(13044,plain,
% 15.28/10.44 ((v138(constB2) <=> (~((~v139(constB2)) | (~v132(constB2))))) <=> (v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2)))))),
% 15.28/10.44 inference(rewrite,[status(thm)],[])).
% 15.28/10.44 tff(13045,plain,
% 15.28/10.44 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v139(constB2)) | (~v132(constB2)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2))))))),
% 15.28/10.44 inference(monotonicity,[status(thm)],[13044])).
% 15.28/10.44 tff(13046,plain,
% 15.28/10.44 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v139(constB2)) | (~v132(constB2)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2))))))),
% 15.28/10.44 inference(transitivity,[status(thm)],[13045, 13043])).
% 15.28/10.44 tff(13047,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v139(constB2)) | (~v132(constB2)))))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13048,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2)))))),
% 15.28/10.44 inference(modus_ponens,[status(thm)],[13047, 13046])).
% 15.28/10.44 tff(13049,plain,
% 15.28/10.44 (v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2))))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13048, 644])).
% 15.28/10.44 tff(13050,plain,
% 15.28/10.44 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB2) <=> v137(constB2))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13051,plain,
% 15.28/10.44 (v132(constB2) <=> v137(constB2)),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13050, 558])).
% 15.28/10.44 tff(13052,plain,
% 15.28/10.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB1, constB2)) | (v137(constB2) <=> v135(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB1, constB2)) | (v137(constB2) <=> v135(constB1)))),
% 15.28/10.44 inference(rewrite,[status(thm)],[])).
% 15.28/10.44 tff(13053,plain,
% 15.28/10.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB1, constB2)) | (v137(constB2) <=> v135(constB1)))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13054,plain,
% 15.28/10.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB1, constB2)) | (v137(constB2) <=> v135(constB1))),
% 15.28/10.44 inference(modus_ponens,[status(thm)],[13053, 13052])).
% 15.28/10.44 tff(13055,plain,
% 15.28/10.44 (v137(constB2) <=> v135(constB1)),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13054, 2203, 570])).
% 15.28/10.44 tff(13056,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB1) <=> (v138(constB1) | v142(constB1)))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13057,plain,
% 15.28/10.44 (v135(constB1) <=> (v138(constB1) | v142(constB1))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13056, 584])).
% 15.28/10.44 tff(13058,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB1) <=> (~((~v143(constB1)) | (~v144(constB1)))))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13059,plain,
% 15.28/10.44 (v142(constB1) <=> (~((~v143(constB1)) | (~v144(constB1))))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13058, 596])).
% 15.28/10.44 tff(13060,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB1) <=> (~((~v141(constB1)) | (~v145(constB1)))))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13061,plain,
% 15.28/10.44 (v144(constB1) <=> (~((~v141(constB1)) | (~v145(constB1))))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13060, 608])).
% 15.28/10.44 tff(13062,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB1) <=> (~(v84(constB1, 1) | v84(constB1, 2) | (~v84(constB1, 0)))))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13063,plain,
% 15.28/10.44 (v145(constB1) <=> (~(v84(constB1, 1) | v84(constB1, 2) | (~v84(constB1, 0))))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13062, 755])).
% 15.28/10.44 tff(13064,plain,
% 15.28/10.44 ((v84(constB1, 1) | v84(constB1, 2) | (~v84(constB1, 0))) | v84(constB1, 0)),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13065,plain,
% 15.28/10.44 (v84(constB1, 1) | v84(constB1, 2) | (~v84(constB1, 0))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13064, 2267])).
% 15.28/10.44 tff(13066,plain,
% 15.28/10.44 ((~(v145(constB1) <=> (~(v84(constB1, 1) | v84(constB1, 2) | (~v84(constB1, 0)))))) | (~v145(constB1)) | (~(v84(constB1, 1) | v84(constB1, 2) | (~v84(constB1, 0))))),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13067,plain,
% 15.28/10.44 ((~(v145(constB1) <=> (~(v84(constB1, 1) | v84(constB1, 2) | (~v84(constB1, 0)))))) | (~v145(constB1))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13066, 13065])).
% 15.28/10.44 tff(13068,plain,
% 15.28/10.44 (~v145(constB1)),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13067, 13063])).
% 15.28/10.44 tff(13069,plain,
% 15.28/10.44 (((~v141(constB1)) | (~v145(constB1))) | v145(constB1)),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13070,plain,
% 15.28/10.44 ((~v141(constB1)) | (~v145(constB1))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13069, 13068])).
% 15.28/10.44 tff(13071,plain,
% 15.28/10.44 ((~(v144(constB1) <=> (~((~v141(constB1)) | (~v145(constB1)))))) | (~v144(constB1)) | (~((~v141(constB1)) | (~v145(constB1))))),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13072,plain,
% 15.28/10.44 ((~(v144(constB1) <=> (~((~v141(constB1)) | (~v145(constB1)))))) | (~v144(constB1))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13071, 13070])).
% 15.28/10.44 tff(13073,plain,
% 15.28/10.44 (~v144(constB1)),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13072, 13061])).
% 15.28/10.44 tff(13074,plain,
% 15.28/10.44 (((~v143(constB1)) | (~v144(constB1))) | v144(constB1)),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13075,plain,
% 15.28/10.44 ((~v143(constB1)) | (~v144(constB1))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13074, 13073])).
% 15.28/10.44 tff(13076,plain,
% 15.28/10.44 ((~(v142(constB1) <=> (~((~v143(constB1)) | (~v144(constB1)))))) | (~v142(constB1)) | (~((~v143(constB1)) | (~v144(constB1))))),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13077,plain,
% 15.28/10.44 (~v142(constB1)),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13076, 13075, 13059])).
% 15.28/10.44 tff(13078,plain,
% 15.28/10.44 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1))))))),
% 15.28/10.44 inference(rewrite,[status(thm)],[])).
% 15.28/10.44 tff(13079,plain,
% 15.28/10.44 ((v138(constB1) <=> (~((~v139(constB1)) | (~v132(constB1))))) <=> (v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1)))))),
% 15.28/10.44 inference(rewrite,[status(thm)],[])).
% 15.28/10.44 tff(13080,plain,
% 15.28/10.44 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v139(constB1)) | (~v132(constB1)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1))))))),
% 15.28/10.44 inference(monotonicity,[status(thm)],[13079])).
% 15.28/10.44 tff(13081,plain,
% 15.28/10.44 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v139(constB1)) | (~v132(constB1)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1))))))),
% 15.28/10.44 inference(transitivity,[status(thm)],[13080, 13078])).
% 15.28/10.44 tff(13082,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v139(constB1)) | (~v132(constB1)))))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13083,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1)))))),
% 15.28/10.44 inference(modus_ponens,[status(thm)],[13082, 13081])).
% 15.28/10.44 tff(13084,plain,
% 15.28/10.44 (v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1))))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13083, 644])).
% 15.28/10.44 tff(13085,plain,
% 15.28/10.44 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB1) <=> v137(constB1))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13086,plain,
% 15.28/10.44 (v132(constB1) <=> v137(constB1)),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13085, 558])).
% 15.28/10.44 tff(13087,plain,
% 15.28/10.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB0, constB1)) | (v137(constB1) <=> v135(constB0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB0, constB1)) | (v137(constB1) <=> v135(constB0)))),
% 15.28/10.44 inference(rewrite,[status(thm)],[])).
% 15.28/10.44 tff(13088,plain,
% 15.28/10.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB0, constB1)) | (v137(constB1) <=> v135(constB0)))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13089,plain,
% 15.28/10.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB0, constB1)) | (v137(constB1) <=> v135(constB0))),
% 15.28/10.44 inference(modus_ponens,[status(thm)],[13088, 13087])).
% 15.28/10.44 tff(13090,plain,
% 15.28/10.44 (v137(constB1) <=> v135(constB0)),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13089, 2228, 570])).
% 15.28/10.44 tff(13091,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB0) <=> (v138(constB0) | v142(constB0)))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13092,plain,
% 15.28/10.44 (v135(constB0) <=> (v138(constB0) | v142(constB0))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13091, 584])).
% 15.28/10.44 tff(13093,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB0) <=> (~((~v143(constB0)) | (~v144(constB0)))))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13094,plain,
% 15.28/10.44 (v142(constB0) <=> (~((~v143(constB0)) | (~v144(constB0))))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13093, 596])).
% 15.28/10.44 tff(13095,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB0) <=> (~((~v141(constB0)) | (~v145(constB0)))))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13096,plain,
% 15.28/10.44 (v144(constB0) <=> (~((~v141(constB0)) | (~v145(constB0))))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13095, 608])).
% 15.28/10.44 tff(13097,plain,
% 15.28/10.44 (((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB0) <=> (~(v84(constB0, 2) | v84(constB0, 1) | (~v84(constB0, 0)))))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB0) <=> (~(v84(constB0, 2) | v84(constB0, 1) | (~v84(constB0, 0))))))),
% 15.28/10.44 inference(rewrite,[status(thm)],[])).
% 15.28/10.44 tff(13098,plain,
% 15.28/10.44 ((v145(constB0) <=> (~(v84(constB0, 1) | v84(constB0, 2) | (~v84(constB0, 0))))) <=> (v145(constB0) <=> (~(v84(constB0, 2) | v84(constB0, 1) | (~v84(constB0, 0)))))),
% 15.28/10.44 inference(rewrite,[status(thm)],[])).
% 15.28/10.44 tff(13099,plain,
% 15.28/10.44 (((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB0) <=> (~(v84(constB0, 1) | v84(constB0, 2) | (~v84(constB0, 0)))))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB0) <=> (~(v84(constB0, 2) | v84(constB0, 1) | (~v84(constB0, 0))))))),
% 15.28/10.44 inference(monotonicity,[status(thm)],[13098])).
% 15.28/10.44 tff(13100,plain,
% 15.28/10.44 (((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB0) <=> (~(v84(constB0, 1) | v84(constB0, 2) | (~v84(constB0, 0)))))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB0) <=> (~(v84(constB0, 2) | v84(constB0, 1) | (~v84(constB0, 0))))))),
% 15.28/10.44 inference(transitivity,[status(thm)],[13099, 13097])).
% 15.28/10.44 tff(13101,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB0) <=> (~(v84(constB0, 1) | v84(constB0, 2) | (~v84(constB0, 0)))))),
% 15.28/10.44 inference(quant_inst,[status(thm)],[])).
% 15.28/10.44 tff(13102,plain,
% 15.28/10.44 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB0) <=> (~(v84(constB0, 2) | v84(constB0, 1) | (~v84(constB0, 0)))))),
% 15.28/10.44 inference(modus_ponens,[status(thm)],[13101, 13100])).
% 15.28/10.44 tff(13103,plain,
% 15.28/10.44 (v145(constB0) <=> (~(v84(constB0, 2) | v84(constB0, 1) | (~v84(constB0, 0))))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13102, 755])).
% 15.28/10.44 tff(13104,plain,
% 15.28/10.44 ((v84(constB0, 2) | v84(constB0, 1) | (~v84(constB0, 0))) | v84(constB0, 0)),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13105,plain,
% 15.28/10.44 (v84(constB0, 2) | v84(constB0, 1) | (~v84(constB0, 0))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13104, 2264])).
% 15.28/10.44 tff(13106,plain,
% 15.28/10.44 ((~(v145(constB0) <=> (~(v84(constB0, 2) | v84(constB0, 1) | (~v84(constB0, 0)))))) | (~v145(constB0)) | (~(v84(constB0, 2) | v84(constB0, 1) | (~v84(constB0, 0))))),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13107,plain,
% 15.28/10.44 ((~(v145(constB0) <=> (~(v84(constB0, 2) | v84(constB0, 1) | (~v84(constB0, 0)))))) | (~v145(constB0))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13106, 13105])).
% 15.28/10.44 tff(13108,plain,
% 15.28/10.44 (~v145(constB0)),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13107, 13103])).
% 15.28/10.44 tff(13109,plain,
% 15.28/10.44 (((~v141(constB0)) | (~v145(constB0))) | v145(constB0)),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13110,plain,
% 15.28/10.44 ((~v141(constB0)) | (~v145(constB0))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13109, 13108])).
% 15.28/10.44 tff(13111,plain,
% 15.28/10.44 ((~(v144(constB0) <=> (~((~v141(constB0)) | (~v145(constB0)))))) | (~v144(constB0)) | (~((~v141(constB0)) | (~v145(constB0))))),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13112,plain,
% 15.28/10.44 ((~(v144(constB0) <=> (~((~v141(constB0)) | (~v145(constB0)))))) | (~v144(constB0))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13111, 13110])).
% 15.28/10.44 tff(13113,plain,
% 15.28/10.44 (~v144(constB0)),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13112, 13096])).
% 15.28/10.44 tff(13114,plain,
% 15.28/10.44 (((~v143(constB0)) | (~v144(constB0))) | v144(constB0)),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13115,plain,
% 15.28/10.44 ((~v143(constB0)) | (~v144(constB0))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13114, 13113])).
% 15.28/10.44 tff(13116,plain,
% 15.28/10.44 ((~(v142(constB0) <=> (~((~v143(constB0)) | (~v144(constB0)))))) | (~v142(constB0)) | (~((~v143(constB0)) | (~v144(constB0))))),
% 15.28/10.44 inference(tautology,[status(thm)],[])).
% 15.28/10.44 tff(13117,plain,
% 15.28/10.44 ((~(v142(constB0) <=> (~((~v143(constB0)) | (~v144(constB0)))))) | (~v142(constB0))),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13116, 13115])).
% 15.28/10.44 tff(13118,plain,
% 15.28/10.44 (~v142(constB0)),
% 15.28/10.44 inference(unit_resolution,[status(thm)],[13117, 13094])).
% 15.28/10.44 tff(13119,plain,
% 15.28/10.44 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0))))))),
% 15.28/10.44 inference(rewrite,[status(thm)],[])).
% 15.28/10.44 tff(13120,plain,
% 15.28/10.44 ((v138(constB0) <=> (~((~v139(constB0)) | (~v132(constB0))))) <=> (v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0)))))),
% 15.28/10.44 inference(rewrite,[status(thm)],[])).
% 15.28/10.44 tff(13121,plain,
% 15.28/10.44 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v139(constB0)) | (~v132(constB0)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0))))))),
% 15.28/10.44 inference(monotonicity,[status(thm)],[13120])).
% 15.28/10.44 tff(13122,plain,
% 15.28/10.44 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v139(constB0)) | (~v132(constB0)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0))))))),
% 15.28/10.45 inference(transitivity,[status(thm)],[13121, 13119])).
% 15.28/10.45 tff(13123,plain,
% 15.28/10.45 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v139(constB0)) | (~v132(constB0)))))),
% 15.28/10.45 inference(quant_inst,[status(thm)],[])).
% 15.28/10.45 tff(13124,plain,
% 15.28/10.45 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0)))))),
% 15.28/10.45 inference(modus_ponens,[status(thm)],[13123, 13122])).
% 15.28/10.45 tff(13125,plain,
% 15.28/10.45 (v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0))))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13124, 644])).
% 15.28/10.45 tff(13126,plain,
% 15.28/10.45 ((~v132(constB0)) <=> (~v132(constB0))),
% 15.28/10.45 inference(rewrite,[status(thm)],[])).
% 15.28/10.45 tff(13127,axiom,(~v132(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_5')).
% 15.28/10.45 tff(13128,plain,
% 15.28/10.45 (~v132(constB0)),
% 15.28/10.45 inference(modus_ponens,[status(thm)],[13127, 13126])).
% 15.28/10.45 tff(13129,plain,
% 15.28/10.45 (((~v132(constB0)) | (~v139(constB0))) | v132(constB0)),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13130,plain,
% 15.28/10.45 ((~v132(constB0)) | (~v139(constB0))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13129, 13128])).
% 15.28/10.45 tff(13131,plain,
% 15.28/10.45 ((~(v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0)))))) | (~v138(constB0)) | (~((~v132(constB0)) | (~v139(constB0))))),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13132,plain,
% 15.28/10.45 ((~(v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0)))))) | (~v138(constB0))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13131, 13130])).
% 15.28/10.45 tff(13133,plain,
% 15.28/10.45 (~v138(constB0)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13132, 13125])).
% 15.28/10.45 tff(13134,plain,
% 15.28/10.45 ((~(v138(constB0) | v142(constB0))) | v138(constB0) | v142(constB0)),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13135,plain,
% 15.28/10.45 ((~(v138(constB0) | v142(constB0))) | v142(constB0)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13134, 13133])).
% 15.28/10.45 tff(13136,plain,
% 15.28/10.45 (~(v138(constB0) | v142(constB0))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13135, 13118])).
% 15.28/10.45 tff(13137,plain,
% 15.28/10.45 ((~(v135(constB0) <=> (v138(constB0) | v142(constB0)))) | (~v135(constB0)) | (v138(constB0) | v142(constB0))),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13138,plain,
% 15.28/10.45 (~v135(constB0)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13137, 13136, 13092])).
% 15.28/10.45 tff(13139,plain,
% 15.28/10.45 ((~(v137(constB1) <=> v135(constB0))) | (~v137(constB1)) | v135(constB0)),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13140,plain,
% 15.28/10.45 (~v137(constB1)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13139, 13138, 13090])).
% 15.28/10.45 tff(13141,plain,
% 15.28/10.45 ((~(v132(constB1) <=> v137(constB1))) | (~v132(constB1)) | v137(constB1)),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13142,plain,
% 15.28/10.45 (~v132(constB1)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13141, 13140, 13086])).
% 15.28/10.45 tff(13143,plain,
% 15.28/10.45 (((~v132(constB1)) | (~v139(constB1))) | v132(constB1)),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13144,plain,
% 15.28/10.45 ((~v132(constB1)) | (~v139(constB1))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13143, 13142])).
% 15.28/10.45 tff(13145,plain,
% 15.28/10.45 ((~(v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1)))))) | (~v138(constB1)) | (~((~v132(constB1)) | (~v139(constB1))))),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13146,plain,
% 15.28/10.45 (~v138(constB1)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13145, 13144, 13084])).
% 15.28/10.45 tff(13147,plain,
% 15.28/10.45 ((~(v138(constB1) | v142(constB1))) | v138(constB1) | v142(constB1)),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13148,plain,
% 15.28/10.45 (~(v138(constB1) | v142(constB1))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13147, 13146, 13077])).
% 15.28/10.45 tff(13149,plain,
% 15.28/10.45 ((~(v135(constB1) <=> (v138(constB1) | v142(constB1)))) | (~v135(constB1)) | (v138(constB1) | v142(constB1))),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13150,plain,
% 15.28/10.45 (~v135(constB1)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13149, 13148, 13057])).
% 15.28/10.45 tff(13151,plain,
% 15.28/10.45 ((~(v137(constB2) <=> v135(constB1))) | (~v137(constB2)) | v135(constB1)),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13152,plain,
% 15.28/10.45 (~v137(constB2)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13151, 13150, 13055])).
% 15.28/10.45 tff(13153,plain,
% 15.28/10.45 ((~(v132(constB2) <=> v137(constB2))) | (~v132(constB2)) | v137(constB2)),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13154,plain,
% 15.28/10.45 (~v132(constB2)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13153, 13152, 13051])).
% 15.28/10.45 tff(13155,plain,
% 15.28/10.45 (((~v132(constB2)) | (~v139(constB2))) | v132(constB2)),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13156,plain,
% 15.28/10.45 ((~v132(constB2)) | (~v139(constB2))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13155, 13154])).
% 15.28/10.45 tff(13157,plain,
% 15.28/10.45 ((~(v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2)))))) | (~v138(constB2)) | (~((~v132(constB2)) | (~v139(constB2))))),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13158,plain,
% 15.28/10.45 (~v138(constB2)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13157, 13156, 13049])).
% 15.28/10.45 tff(13159,plain,
% 15.28/10.45 ((~(v138(constB2) | v142(constB2))) | v138(constB2) | v142(constB2)),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13160,plain,
% 15.28/10.45 (~(v138(constB2) | v142(constB2))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13159, 13158, 13042])).
% 15.28/10.45 tff(13161,plain,
% 15.28/10.45 ((~(v135(constB2) <=> (v138(constB2) | v142(constB2)))) | (~v135(constB2)) | (v138(constB2) | v142(constB2))),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13162,plain,
% 15.28/10.45 (~v135(constB2)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13161, 13160, 13017])).
% 15.28/10.45 tff(13163,plain,
% 15.28/10.45 ((~(v137(constB3) <=> v135(constB2))) | (~v137(constB3)) | v135(constB2)),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13164,plain,
% 15.28/10.45 (~v137(constB3)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13163, 13162, 13015])).
% 15.28/10.45 tff(13165,plain,
% 15.28/10.45 ((~(v132(constB3) <=> v137(constB3))) | (~v132(constB3)) | v137(constB3)),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13166,plain,
% 15.28/10.45 (~v132(constB3)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13165, 13164, 13011])).
% 15.28/10.45 tff(13167,plain,
% 15.28/10.45 (((~v132(constB3)) | (~v155(constB3))) | v132(constB3)),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13168,plain,
% 15.28/10.45 ((~v132(constB3)) | (~v155(constB3))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13167, 13166])).
% 15.28/10.45 tff(13169,plain,
% 15.28/10.45 ((~(v154(constB3) <=> (~((~v132(constB3)) | (~v155(constB3)))))) | (~v154(constB3)) | (~((~v132(constB3)) | (~v155(constB3))))),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13170,plain,
% 15.28/10.45 (~v154(constB3)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13169, 13168, 13009])).
% 15.28/10.45 tff(13171,plain,
% 15.28/10.45 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB3) <=> (~((~v130(constB3)) | (~v139(constB3)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB3) <=> (~((~v130(constB3)) | (~v139(constB3))))))),
% 15.28/10.45 inference(rewrite,[status(thm)],[])).
% 15.28/10.45 tff(13172,plain,
% 15.28/10.45 ((v153(constB3) <=> (~((~v139(constB3)) | (~v130(constB3))))) <=> (v153(constB3) <=> (~((~v130(constB3)) | (~v139(constB3)))))),
% 15.28/10.45 inference(rewrite,[status(thm)],[])).
% 15.28/10.45 tff(13173,plain,
% 15.28/10.45 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB3) <=> (~((~v139(constB3)) | (~v130(constB3)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB3) <=> (~((~v130(constB3)) | (~v139(constB3))))))),
% 15.28/10.45 inference(monotonicity,[status(thm)],[13172])).
% 15.28/10.45 tff(13174,plain,
% 15.28/10.45 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB3) <=> (~((~v139(constB3)) | (~v130(constB3)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB3) <=> (~((~v130(constB3)) | (~v139(constB3))))))),
% 15.28/10.45 inference(transitivity,[status(thm)],[13173, 13171])).
% 15.28/10.45 tff(13175,plain,
% 15.28/10.45 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB3) <=> (~((~v139(constB3)) | (~v130(constB3)))))),
% 15.28/10.45 inference(quant_inst,[status(thm)],[])).
% 15.28/10.45 tff(13176,plain,
% 15.28/10.45 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB3) <=> (~((~v130(constB3)) | (~v139(constB3)))))),
% 15.28/10.45 inference(modus_ponens,[status(thm)],[13175, 13174])).
% 15.28/10.45 tff(13177,plain,
% 15.28/10.45 (v153(constB3) <=> (~((~v130(constB3)) | (~v139(constB3))))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13176, 447])).
% 15.28/10.45 tff(13178,plain,
% 15.28/10.45 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB3) <=> v152(constB3))),
% 15.28/10.45 inference(quant_inst,[status(thm)],[])).
% 15.28/10.45 tff(13179,plain,
% 15.28/10.45 (v130(constB3) <=> v152(constB3)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13178, 361])).
% 15.28/10.45 tff(13180,plain,
% 15.28/10.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB2, constB3)) | (v152(constB3) <=> v150(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB2, constB3)) | (v152(constB3) <=> v150(constB2)))),
% 15.28/10.45 inference(rewrite,[status(thm)],[])).
% 15.28/10.45 tff(13181,plain,
% 15.28/10.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB2, constB3)) | (v152(constB3) <=> v150(constB2)))),
% 15.28/10.45 inference(quant_inst,[status(thm)],[])).
% 15.28/10.45 tff(13182,plain,
% 15.28/10.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB2, constB3)) | (v152(constB3) <=> v150(constB2))),
% 15.28/10.45 inference(modus_ponens,[status(thm)],[13181, 13180])).
% 15.28/10.45 tff(13183,plain,
% 15.28/10.45 (v152(constB3) <=> v150(constB2)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13182, 2167, 373])).
% 15.28/10.45 tff(13184,plain,
% 15.28/10.45 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB2) <=> (v153(constB2) | v154(constB2)))),
% 15.28/10.45 inference(quant_inst,[status(thm)],[])).
% 15.28/10.45 tff(13185,plain,
% 15.28/10.45 (v150(constB2) <=> (v153(constB2) | v154(constB2))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13184, 387])).
% 15.28/10.45 tff(13186,plain,
% 15.28/10.45 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB2) <=> (~((~v132(constB2)) | (~v155(constB2)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB2) <=> (~((~v132(constB2)) | (~v155(constB2))))))),
% 15.28/10.45 inference(rewrite,[status(thm)],[])).
% 15.28/10.45 tff(13187,plain,
% 15.28/10.45 ((v154(constB2) <=> (~((~v155(constB2)) | (~v132(constB2))))) <=> (v154(constB2) <=> (~((~v132(constB2)) | (~v155(constB2)))))),
% 15.28/10.45 inference(rewrite,[status(thm)],[])).
% 15.28/10.45 tff(13188,plain,
% 15.28/10.45 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB2) <=> (~((~v155(constB2)) | (~v132(constB2)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB2) <=> (~((~v132(constB2)) | (~v155(constB2))))))),
% 15.28/10.45 inference(monotonicity,[status(thm)],[13187])).
% 15.28/10.45 tff(13189,plain,
% 15.28/10.45 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB2) <=> (~((~v155(constB2)) | (~v132(constB2)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB2) <=> (~((~v132(constB2)) | (~v155(constB2))))))),
% 15.28/10.45 inference(transitivity,[status(thm)],[13188, 13186])).
% 15.28/10.45 tff(13190,plain,
% 15.28/10.45 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB2) <=> (~((~v155(constB2)) | (~v132(constB2)))))),
% 15.28/10.45 inference(quant_inst,[status(thm)],[])).
% 15.28/10.45 tff(13191,plain,
% 15.28/10.45 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB2) <=> (~((~v132(constB2)) | (~v155(constB2)))))),
% 15.28/10.45 inference(modus_ponens,[status(thm)],[13190, 13189])).
% 15.28/10.45 tff(13192,plain,
% 15.28/10.45 (v154(constB2) <=> (~((~v132(constB2)) | (~v155(constB2))))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13191, 399])).
% 15.28/10.45 tff(13193,plain,
% 15.28/10.45 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB2) <=> (~((~v141(constB2)) | (~v143(constB2)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB2) <=> (~((~v141(constB2)) | (~v143(constB2))))))),
% 15.28/10.45 inference(rewrite,[status(thm)],[])).
% 15.28/10.45 tff(13194,plain,
% 15.28/10.45 ((v155(constB2) <=> (~((~v143(constB2)) | (~v141(constB2))))) <=> (v155(constB2) <=> (~((~v141(constB2)) | (~v143(constB2)))))),
% 15.28/10.45 inference(rewrite,[status(thm)],[])).
% 15.28/10.45 tff(13195,plain,
% 15.28/10.45 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB2) <=> (~((~v143(constB2)) | (~v141(constB2)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB2) <=> (~((~v141(constB2)) | (~v143(constB2))))))),
% 15.28/10.45 inference(monotonicity,[status(thm)],[13194])).
% 15.28/10.45 tff(13196,plain,
% 15.28/10.45 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB2) <=> (~((~v143(constB2)) | (~v141(constB2)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB2) <=> (~((~v141(constB2)) | (~v143(constB2))))))),
% 15.28/10.45 inference(transitivity,[status(thm)],[13195, 13193])).
% 15.28/10.45 tff(13197,plain,
% 15.28/10.45 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB2) <=> (~((~v143(constB2)) | (~v141(constB2)))))),
% 15.28/10.45 inference(quant_inst,[status(thm)],[])).
% 15.28/10.45 tff(13198,plain,
% 15.28/10.45 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB2) <=> (~((~v141(constB2)) | (~v143(constB2)))))),
% 15.28/10.45 inference(modus_ponens,[status(thm)],[13197, 13196])).
% 15.28/10.45 tff(13199,plain,
% 15.28/10.45 (v155(constB2) <=> (~((~v141(constB2)) | (~v143(constB2))))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13198, 113])).
% 15.28/10.45 tff(13200,plain,
% 15.28/10.45 (((~v141(constB2)) | (~v143(constB2))) | v141(constB2)),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13201,plain,
% 15.28/10.45 ((~v141(constB2)) | (~v143(constB2))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13200, 13033])).
% 15.28/10.45 tff(13202,plain,
% 15.28/10.45 ((~(v155(constB2) <=> (~((~v141(constB2)) | (~v143(constB2)))))) | (~v155(constB2)) | (~((~v141(constB2)) | (~v143(constB2))))),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13203,plain,
% 15.28/10.45 ((~(v155(constB2) <=> (~((~v141(constB2)) | (~v143(constB2)))))) | (~v155(constB2))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13202, 13201])).
% 15.28/10.45 tff(13204,plain,
% 15.28/10.45 (~v155(constB2)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13203, 13199])).
% 15.28/10.45 tff(13205,plain,
% 15.28/10.45 (((~v132(constB2)) | (~v155(constB2))) | v155(constB2)),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13206,plain,
% 15.28/10.45 ((~v132(constB2)) | (~v155(constB2))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13205, 13204])).
% 15.28/10.45 tff(13207,plain,
% 15.28/10.45 ((~(v154(constB2) <=> (~((~v132(constB2)) | (~v155(constB2)))))) | (~v154(constB2)) | (~((~v132(constB2)) | (~v155(constB2))))),
% 15.28/10.45 inference(tautology,[status(thm)],[])).
% 15.28/10.45 tff(13208,plain,
% 15.28/10.45 (~v154(constB2)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13207, 13206, 13192])).
% 15.28/10.45 tff(13209,plain,
% 15.28/10.45 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB2) <=> (~((~v130(constB2)) | (~v139(constB2)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB2) <=> (~((~v130(constB2)) | (~v139(constB2))))))),
% 15.28/10.45 inference(rewrite,[status(thm)],[])).
% 15.28/10.45 tff(13210,plain,
% 15.28/10.45 ((v153(constB2) <=> (~((~v139(constB2)) | (~v130(constB2))))) <=> (v153(constB2) <=> (~((~v130(constB2)) | (~v139(constB2)))))),
% 15.28/10.45 inference(rewrite,[status(thm)],[])).
% 15.28/10.45 tff(13211,plain,
% 15.28/10.45 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB2) <=> (~((~v139(constB2)) | (~v130(constB2)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB2) <=> (~((~v130(constB2)) | (~v139(constB2))))))),
% 15.28/10.45 inference(monotonicity,[status(thm)],[13210])).
% 15.28/10.45 tff(13212,plain,
% 15.28/10.45 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB2) <=> (~((~v139(constB2)) | (~v130(constB2)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB2) <=> (~((~v130(constB2)) | (~v139(constB2))))))),
% 15.28/10.45 inference(transitivity,[status(thm)],[13211, 13209])).
% 15.28/10.45 tff(13213,plain,
% 15.28/10.45 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB2) <=> (~((~v139(constB2)) | (~v130(constB2)))))),
% 15.28/10.45 inference(quant_inst,[status(thm)],[])).
% 15.28/10.45 tff(13214,plain,
% 15.28/10.45 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB2) <=> (~((~v130(constB2)) | (~v139(constB2)))))),
% 15.28/10.45 inference(modus_ponens,[status(thm)],[13213, 13212])).
% 15.28/10.45 tff(13215,plain,
% 15.28/10.45 (v153(constB2) <=> (~((~v130(constB2)) | (~v139(constB2))))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13214, 447])).
% 15.28/10.45 tff(13216,plain,
% 15.28/10.45 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB2) <=> v152(constB2))),
% 15.28/10.45 inference(quant_inst,[status(thm)],[])).
% 15.28/10.45 tff(13217,plain,
% 15.28/10.45 (v130(constB2) <=> v152(constB2)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13216, 361])).
% 15.28/10.45 tff(13218,plain,
% 15.28/10.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB1, constB2)) | (v152(constB2) <=> v150(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB1, constB2)) | (v152(constB2) <=> v150(constB1)))),
% 15.28/10.45 inference(rewrite,[status(thm)],[])).
% 15.28/10.45 tff(13219,plain,
% 15.28/10.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB1, constB2)) | (v152(constB2) <=> v150(constB1)))),
% 15.28/10.45 inference(quant_inst,[status(thm)],[])).
% 15.28/10.45 tff(13220,plain,
% 15.28/10.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB1, constB2)) | (v152(constB2) <=> v150(constB1))),
% 15.28/10.45 inference(modus_ponens,[status(thm)],[13219, 13218])).
% 15.28/10.45 tff(13221,plain,
% 15.28/10.45 (v152(constB2) <=> v150(constB1)),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13220, 2203, 373])).
% 15.28/10.45 tff(13222,plain,
% 15.28/10.45 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB1) <=> (v153(constB1) | v154(constB1)))),
% 15.28/10.45 inference(quant_inst,[status(thm)],[])).
% 15.28/10.45 tff(13223,plain,
% 15.28/10.45 (v150(constB1) <=> (v153(constB1) | v154(constB1))),
% 15.28/10.45 inference(unit_resolution,[status(thm)],[13222, 387])).
% 15.28/10.45 tff(13224,plain,
% 15.28/10.45 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB1) <=> (~((~v130(constB1)) | (~v139(constB1)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB1) <=> (~((~v130(constB1)) | (~v139(constB1))))))),
% 15.28/10.45 inference(rewrite,[status(thm)],[])).
% 15.28/10.45 tff(13225,plain,
% 15.28/10.45 ((v153(constB1) <=> (~((~v139(constB1)) | (~v130(constB1))))) <=> (v153(constB1) <=> (~((~v130(constB1)) | (~v139(constB1)))))),
% 15.28/10.45 inference(rewrite,[status(thm)],[])).
% 15.28/10.45 tff(13226,plain,
% 15.28/10.45 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB1) <=> (~((~v139(constB1)) | (~v130(constB1)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB1) <=> (~((~v130(constB1)) | (~v139(constB1))))))),
% 15.28/10.45 inference(monotonicity,[status(thm)],[13225])).
% 15.28/10.45 tff(13227,plain,
% 15.28/10.45 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB1) <=> (~((~v139(constB1)) | (~v130(constB1)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB1) <=> (~((~v130(constB1)) | (~v139(constB1))))))),
% 15.28/10.46 inference(transitivity,[status(thm)],[13226, 13224])).
% 15.28/10.46 tff(13228,plain,
% 15.28/10.46 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB1) <=> (~((~v139(constB1)) | (~v130(constB1)))))),
% 15.28/10.46 inference(quant_inst,[status(thm)],[])).
% 15.28/10.46 tff(13229,plain,
% 15.28/10.46 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB1) <=> (~((~v130(constB1)) | (~v139(constB1)))))),
% 15.28/10.46 inference(modus_ponens,[status(thm)],[13228, 13227])).
% 15.28/10.46 tff(13230,plain,
% 15.28/10.46 (v153(constB1) <=> (~((~v130(constB1)) | (~v139(constB1))))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13229, 447])).
% 15.28/10.46 tff(13231,plain,
% 15.28/10.46 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB1) <=> v152(constB1))),
% 15.28/10.46 inference(quant_inst,[status(thm)],[])).
% 15.28/10.46 tff(13232,plain,
% 15.28/10.46 (v130(constB1) <=> v152(constB1)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13231, 361])).
% 15.28/10.46 tff(13233,plain,
% 15.28/10.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB0, constB1)) | (v152(constB1) <=> v150(constB0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB0, constB1)) | (v152(constB1) <=> v150(constB0)))),
% 15.28/10.46 inference(rewrite,[status(thm)],[])).
% 15.28/10.46 tff(13234,plain,
% 15.28/10.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB0, constB1)) | (v152(constB1) <=> v150(constB0)))),
% 15.28/10.46 inference(quant_inst,[status(thm)],[])).
% 15.28/10.46 tff(13235,plain,
% 15.28/10.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB0, constB1)) | (v152(constB1) <=> v150(constB0))),
% 15.28/10.46 inference(modus_ponens,[status(thm)],[13234, 13233])).
% 15.28/10.46 tff(13236,plain,
% 15.28/10.46 (v152(constB1) <=> v150(constB0)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13235, 2228, 373])).
% 15.28/10.46 tff(13237,plain,
% 15.28/10.46 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB0) <=> (v153(constB0) | v154(constB0)))),
% 15.28/10.46 inference(quant_inst,[status(thm)],[])).
% 15.28/10.46 tff(13238,plain,
% 15.28/10.46 (v150(constB0) <=> (v153(constB0) | v154(constB0))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13237, 387])).
% 15.28/10.46 tff(13239,plain,
% 15.28/10.46 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB0) <=> (~((~v132(constB0)) | (~v155(constB0)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB0) <=> (~((~v132(constB0)) | (~v155(constB0))))))),
% 15.28/10.46 inference(rewrite,[status(thm)],[])).
% 15.28/10.46 tff(13240,plain,
% 15.28/10.46 ((v154(constB0) <=> (~((~v155(constB0)) | (~v132(constB0))))) <=> (v154(constB0) <=> (~((~v132(constB0)) | (~v155(constB0)))))),
% 15.28/10.46 inference(rewrite,[status(thm)],[])).
% 15.28/10.46 tff(13241,plain,
% 15.28/10.46 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB0) <=> (~((~v155(constB0)) | (~v132(constB0)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB0) <=> (~((~v132(constB0)) | (~v155(constB0))))))),
% 15.28/10.46 inference(monotonicity,[status(thm)],[13240])).
% 15.28/10.46 tff(13242,plain,
% 15.28/10.46 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB0) <=> (~((~v155(constB0)) | (~v132(constB0)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB0) <=> (~((~v132(constB0)) | (~v155(constB0))))))),
% 15.28/10.46 inference(transitivity,[status(thm)],[13241, 13239])).
% 15.28/10.46 tff(13243,plain,
% 15.28/10.46 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB0) <=> (~((~v155(constB0)) | (~v132(constB0)))))),
% 15.28/10.46 inference(quant_inst,[status(thm)],[])).
% 15.28/10.46 tff(13244,plain,
% 15.28/10.46 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB0) <=> (~((~v132(constB0)) | (~v155(constB0)))))),
% 15.28/10.46 inference(modus_ponens,[status(thm)],[13243, 13242])).
% 15.28/10.46 tff(13245,plain,
% 15.28/10.46 (v154(constB0) <=> (~((~v132(constB0)) | (~v155(constB0))))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13244, 399])).
% 15.28/10.46 tff(13246,plain,
% 15.28/10.46 (((~v132(constB0)) | (~v155(constB0))) | v132(constB0)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13247,plain,
% 15.28/10.46 ((~v132(constB0)) | (~v155(constB0))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13246, 13128])).
% 15.28/10.46 tff(13248,plain,
% 15.28/10.46 ((~(v154(constB0) <=> (~((~v132(constB0)) | (~v155(constB0)))))) | (~v154(constB0)) | (~((~v132(constB0)) | (~v155(constB0))))),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13249,plain,
% 15.28/10.46 ((~(v154(constB0) <=> (~((~v132(constB0)) | (~v155(constB0)))))) | (~v154(constB0))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13248, 13247])).
% 15.28/10.46 tff(13250,plain,
% 15.28/10.46 (~v154(constB0)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13249, 13245])).
% 15.28/10.46 tff(13251,plain,
% 15.28/10.46 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB0) <=> (~((~v130(constB0)) | (~v139(constB0)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB0) <=> (~((~v130(constB0)) | (~v139(constB0))))))),
% 15.28/10.46 inference(rewrite,[status(thm)],[])).
% 15.28/10.46 tff(13252,plain,
% 15.28/10.46 ((v153(constB0) <=> (~((~v139(constB0)) | (~v130(constB0))))) <=> (v153(constB0) <=> (~((~v130(constB0)) | (~v139(constB0)))))),
% 15.28/10.46 inference(rewrite,[status(thm)],[])).
% 15.28/10.46 tff(13253,plain,
% 15.28/10.46 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB0) <=> (~((~v139(constB0)) | (~v130(constB0)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB0) <=> (~((~v130(constB0)) | (~v139(constB0))))))),
% 15.28/10.46 inference(monotonicity,[status(thm)],[13252])).
% 15.28/10.46 tff(13254,plain,
% 15.28/10.46 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB0) <=> (~((~v139(constB0)) | (~v130(constB0)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB0) <=> (~((~v130(constB0)) | (~v139(constB0))))))),
% 15.28/10.46 inference(transitivity,[status(thm)],[13253, 13251])).
% 15.28/10.46 tff(13255,plain,
% 15.28/10.46 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB0) <=> (~((~v139(constB0)) | (~v130(constB0)))))),
% 15.28/10.46 inference(quant_inst,[status(thm)],[])).
% 15.28/10.46 tff(13256,plain,
% 15.28/10.46 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB0) <=> (~((~v130(constB0)) | (~v139(constB0)))))),
% 15.28/10.46 inference(modus_ponens,[status(thm)],[13255, 13254])).
% 15.28/10.46 tff(13257,plain,
% 15.28/10.46 (v153(constB0) <=> (~((~v130(constB0)) | (~v139(constB0))))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13256, 447])).
% 15.28/10.46 tff(13258,plain,
% 15.28/10.46 ((~v130(constB0)) <=> (~v130(constB0))),
% 15.28/10.46 inference(rewrite,[status(thm)],[])).
% 15.28/10.46 tff(13259,axiom,(~v130(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_6')).
% 15.28/10.46 tff(13260,plain,
% 15.28/10.46 (~v130(constB0)),
% 15.28/10.46 inference(modus_ponens,[status(thm)],[13259, 13258])).
% 15.28/10.46 tff(13261,plain,
% 15.28/10.46 (((~v130(constB0)) | (~v139(constB0))) | v130(constB0)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13262,plain,
% 15.28/10.46 ((~v130(constB0)) | (~v139(constB0))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13261, 13260])).
% 15.28/10.46 tff(13263,plain,
% 15.28/10.46 ((~(v153(constB0) <=> (~((~v130(constB0)) | (~v139(constB0)))))) | (~v153(constB0)) | (~((~v130(constB0)) | (~v139(constB0))))),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13264,plain,
% 15.28/10.46 ((~(v153(constB0) <=> (~((~v130(constB0)) | (~v139(constB0)))))) | (~v153(constB0))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13263, 13262])).
% 15.28/10.46 tff(13265,plain,
% 15.28/10.46 (~v153(constB0)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13264, 13257])).
% 15.28/10.46 tff(13266,plain,
% 15.28/10.46 ((~(v153(constB0) | v154(constB0))) | v153(constB0) | v154(constB0)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13267,plain,
% 15.28/10.46 (~(v153(constB0) | v154(constB0))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13266, 13265, 13250])).
% 15.28/10.46 tff(13268,plain,
% 15.28/10.46 ((~(v150(constB0) <=> (v153(constB0) | v154(constB0)))) | (~v150(constB0)) | (v153(constB0) | v154(constB0))),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13269,plain,
% 15.28/10.46 ((~(v150(constB0) <=> (v153(constB0) | v154(constB0)))) | (~v150(constB0))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13268, 13267])).
% 15.28/10.46 tff(13270,plain,
% 15.28/10.46 (~v150(constB0)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13269, 13238])).
% 15.28/10.46 tff(13271,plain,
% 15.28/10.46 ((~(v152(constB1) <=> v150(constB0))) | (~v152(constB1)) | v150(constB0)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13272,plain,
% 15.28/10.46 (~v152(constB1)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13271, 13270, 13236])).
% 15.28/10.46 tff(13273,plain,
% 15.28/10.46 ((~(v130(constB1) <=> v152(constB1))) | (~v130(constB1)) | v152(constB1)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13274,plain,
% 15.28/10.46 (~v130(constB1)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13273, 13272, 13232])).
% 15.28/10.46 tff(13275,plain,
% 15.28/10.46 (((~v130(constB1)) | (~v139(constB1))) | v130(constB1)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13276,plain,
% 15.28/10.46 ((~v130(constB1)) | (~v139(constB1))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13275, 13274])).
% 15.28/10.46 tff(13277,plain,
% 15.28/10.46 ((~(v153(constB1) <=> (~((~v130(constB1)) | (~v139(constB1)))))) | (~v153(constB1)) | (~((~v130(constB1)) | (~v139(constB1))))),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13278,plain,
% 15.28/10.46 ((~(v153(constB1) <=> (~((~v130(constB1)) | (~v139(constB1)))))) | (~v153(constB1))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13277, 13276])).
% 15.28/10.46 tff(13279,plain,
% 15.28/10.46 (~v153(constB1)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13278, 13230])).
% 15.28/10.46 tff(13280,plain,
% 15.28/10.46 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB1) <=> (~((~v132(constB1)) | (~v155(constB1)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB1) <=> (~((~v132(constB1)) | (~v155(constB1))))))),
% 15.28/10.46 inference(rewrite,[status(thm)],[])).
% 15.28/10.46 tff(13281,plain,
% 15.28/10.46 ((v154(constB1) <=> (~((~v155(constB1)) | (~v132(constB1))))) <=> (v154(constB1) <=> (~((~v132(constB1)) | (~v155(constB1)))))),
% 15.28/10.46 inference(rewrite,[status(thm)],[])).
% 15.28/10.46 tff(13282,plain,
% 15.28/10.46 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB1) <=> (~((~v155(constB1)) | (~v132(constB1)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB1) <=> (~((~v132(constB1)) | (~v155(constB1))))))),
% 15.28/10.46 inference(monotonicity,[status(thm)],[13281])).
% 15.28/10.46 tff(13283,plain,
% 15.28/10.46 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB1) <=> (~((~v155(constB1)) | (~v132(constB1)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB1) <=> (~((~v132(constB1)) | (~v155(constB1))))))),
% 15.28/10.46 inference(transitivity,[status(thm)],[13282, 13280])).
% 15.28/10.46 tff(13284,plain,
% 15.28/10.46 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB1) <=> (~((~v155(constB1)) | (~v132(constB1)))))),
% 15.28/10.46 inference(quant_inst,[status(thm)],[])).
% 15.28/10.46 tff(13285,plain,
% 15.28/10.46 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB1) <=> (~((~v132(constB1)) | (~v155(constB1)))))),
% 15.28/10.46 inference(modus_ponens,[status(thm)],[13284, 13283])).
% 15.28/10.46 tff(13286,plain,
% 15.28/10.46 (v154(constB1) <=> (~((~v132(constB1)) | (~v155(constB1))))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13285, 399])).
% 15.28/10.46 tff(13287,plain,
% 15.28/10.46 (((~v132(constB1)) | (~v155(constB1))) | v132(constB1)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13288,plain,
% 15.28/10.46 ((~v132(constB1)) | (~v155(constB1))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13287, 13142])).
% 15.28/10.46 tff(13289,plain,
% 15.28/10.46 ((~(v154(constB1) <=> (~((~v132(constB1)) | (~v155(constB1)))))) | (~v154(constB1)) | (~((~v132(constB1)) | (~v155(constB1))))),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13290,plain,
% 15.28/10.46 (~v154(constB1)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13289, 13288, 13286])).
% 15.28/10.46 tff(13291,plain,
% 15.28/10.46 ((~(v153(constB1) | v154(constB1))) | v153(constB1) | v154(constB1)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13292,plain,
% 15.28/10.46 (~(v153(constB1) | v154(constB1))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13291, 13290, 13279])).
% 15.28/10.46 tff(13293,plain,
% 15.28/10.46 ((~(v150(constB1) <=> (v153(constB1) | v154(constB1)))) | (~v150(constB1)) | (v153(constB1) | v154(constB1))),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13294,plain,
% 15.28/10.46 (~v150(constB1)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13293, 13292, 13223])).
% 15.28/10.46 tff(13295,plain,
% 15.28/10.46 ((~(v152(constB2) <=> v150(constB1))) | (~v152(constB2)) | v150(constB1)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13296,plain,
% 15.28/10.46 (~v152(constB2)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13295, 13294, 13221])).
% 15.28/10.46 tff(13297,plain,
% 15.28/10.46 ((~(v130(constB2) <=> v152(constB2))) | (~v130(constB2)) | v152(constB2)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13298,plain,
% 15.28/10.46 (~v130(constB2)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13297, 13296, 13217])).
% 15.28/10.46 tff(13299,plain,
% 15.28/10.46 (((~v130(constB2)) | (~v139(constB2))) | v130(constB2)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13300,plain,
% 15.28/10.46 ((~v130(constB2)) | (~v139(constB2))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13299, 13298])).
% 15.28/10.46 tff(13301,plain,
% 15.28/10.46 ((~(v153(constB2) <=> (~((~v130(constB2)) | (~v139(constB2)))))) | (~v153(constB2)) | (~((~v130(constB2)) | (~v139(constB2))))),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13302,plain,
% 15.28/10.46 (~v153(constB2)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13301, 13300, 13215])).
% 15.28/10.46 tff(13303,plain,
% 15.28/10.46 ((~(v153(constB2) | v154(constB2))) | v153(constB2) | v154(constB2)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13304,plain,
% 15.28/10.46 (~(v153(constB2) | v154(constB2))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13303, 13302, 13208])).
% 15.28/10.46 tff(13305,plain,
% 15.28/10.46 ((~(v150(constB2) <=> (v153(constB2) | v154(constB2)))) | (~v150(constB2)) | (v153(constB2) | v154(constB2))),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13306,plain,
% 15.28/10.46 (~v150(constB2)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13305, 13304, 13185])).
% 15.28/10.46 tff(13307,plain,
% 15.28/10.46 ((~(v152(constB3) <=> v150(constB2))) | (~v152(constB3)) | v150(constB2)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13308,plain,
% 15.28/10.46 (~v152(constB3)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13307, 13306, 13183])).
% 15.28/10.46 tff(13309,plain,
% 15.28/10.46 ((~(v130(constB3) <=> v152(constB3))) | (~v130(constB3)) | v152(constB3)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13310,plain,
% 15.28/10.46 (~v130(constB3)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13309, 13308, 13179])).
% 15.28/10.46 tff(13311,plain,
% 15.28/10.46 (((~v130(constB3)) | (~v139(constB3))) | v130(constB3)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13312,plain,
% 15.28/10.46 ((~v130(constB3)) | (~v139(constB3))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13311, 13310])).
% 15.28/10.46 tff(13313,plain,
% 15.28/10.46 ((~(v153(constB3) <=> (~((~v130(constB3)) | (~v139(constB3)))))) | (~v153(constB3)) | (~((~v130(constB3)) | (~v139(constB3))))),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13314,plain,
% 15.28/10.46 (~v153(constB3)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13313, 13312, 13177])).
% 15.28/10.46 tff(13315,plain,
% 15.28/10.46 ((~(v153(constB3) | v154(constB3))) | v153(constB3) | v154(constB3)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13316,plain,
% 15.28/10.46 (~(v153(constB3) | v154(constB3))),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13315, 13314, 13170])).
% 15.28/10.46 tff(13317,plain,
% 15.28/10.46 ((~(v150(constB3) <=> (v153(constB3) | v154(constB3)))) | (~v150(constB3)) | (v153(constB3) | v154(constB3))),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13318,plain,
% 15.28/10.46 (~v150(constB3)),
% 15.28/10.46 inference(unit_resolution,[status(thm)],[13317, 13316, 13002])).
% 15.28/10.46 tff(13319,plain,
% 15.28/10.46 ((~(v152(constB4) <=> v150(constB3))) | (~v152(constB4)) | v150(constB3)),
% 15.28/10.46 inference(tautology,[status(thm)],[])).
% 15.28/10.46 tff(13320,plain,
% 15.28/10.46 (~v152(constB4)),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13319, 13318, 13000])).
% 15.28/10.47 tff(13321,plain,
% 15.28/10.47 ((~(v130(constB4) <=> v152(constB4))) | (~v130(constB4)) | v152(constB4)),
% 15.28/10.47 inference(tautology,[status(thm)],[])).
% 15.28/10.47 tff(13322,plain,
% 15.28/10.47 (~v130(constB4)),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13321, 13320, 12996])).
% 15.28/10.47 tff(13323,plain,
% 15.28/10.47 (((~v130(constB4)) | (~v139(constB4))) | v130(constB4)),
% 15.28/10.47 inference(tautology,[status(thm)],[])).
% 15.28/10.47 tff(13324,plain,
% 15.28/10.47 ((~v130(constB4)) | (~v139(constB4))),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13323, 13322])).
% 15.28/10.47 tff(13325,plain,
% 15.28/10.47 ((~(v153(constB4) <=> (~((~v130(constB4)) | (~v139(constB4)))))) | (~v153(constB4)) | (~((~v130(constB4)) | (~v139(constB4))))),
% 15.28/10.47 inference(tautology,[status(thm)],[])).
% 15.28/10.47 tff(13326,plain,
% 15.28/10.47 (~v153(constB4)),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13325, 13324, 12994])).
% 15.28/10.47 tff(13327,plain,
% 15.28/10.47 ((~(v153(constB4) | v154(constB4))) | v153(constB4) | v154(constB4)),
% 15.28/10.47 inference(tautology,[status(thm)],[])).
% 15.28/10.47 tff(13328,plain,
% 15.28/10.47 (~(v153(constB4) | v154(constB4))),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13327, 13326, 12987])).
% 15.28/10.47 tff(13329,plain,
% 15.28/10.47 ((~(v150(constB4) <=> (v153(constB4) | v154(constB4)))) | (~v150(constB4)) | (v153(constB4) | v154(constB4))),
% 15.28/10.47 inference(tautology,[status(thm)],[])).
% 15.28/10.47 tff(13330,plain,
% 15.28/10.47 (~v150(constB4)),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13329, 13328, 12952])).
% 15.28/10.47 tff(13331,plain,
% 15.28/10.47 ((~(v152(constB5) <=> v150(constB4))) | (~v152(constB5)) | v150(constB4)),
% 15.28/10.47 inference(tautology,[status(thm)],[])).
% 15.28/10.47 tff(13332,plain,
% 15.28/10.47 (~v152(constB5)),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13331, 13330, 12950])).
% 15.28/10.47 tff(13333,plain,
% 15.28/10.47 ((~(v130(constB5) <=> v152(constB5))) | (~v130(constB5)) | v152(constB5)),
% 15.28/10.47 inference(tautology,[status(thm)],[])).
% 15.28/10.47 tff(13334,plain,
% 15.28/10.47 (~v130(constB5)),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13333, 13332, 12946])).
% 15.28/10.47 tff(13335,plain,
% 15.28/10.47 (((~v130(constB5)) | (~v155(constB5))) | v130(constB5)),
% 15.28/10.47 inference(tautology,[status(thm)],[])).
% 15.28/10.47 tff(13336,plain,
% 15.28/10.47 ((~v130(constB5)) | (~v155(constB5))),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13335, 13334])).
% 15.28/10.47 tff(13337,plain,
% 15.28/10.47 ((~(v164(constB5) <=> (~((~v130(constB5)) | (~v155(constB5)))))) | (~v164(constB5)) | (~((~v130(constB5)) | (~v155(constB5))))),
% 15.28/10.47 inference(tautology,[status(thm)],[])).
% 15.28/10.47 tff(13338,plain,
% 15.28/10.47 (~v164(constB5)),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13337, 13336, 12944])).
% 15.28/10.47 tff(13339,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5))))))),
% 15.28/10.47 inference(rewrite,[status(thm)],[])).
% 15.28/10.47 tff(13340,plain,
% 15.28/10.47 ((v163(constB5) <=> (~((~v139(constB5)) | (~v128(constB5))))) <=> (v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5)))))),
% 15.28/10.47 inference(rewrite,[status(thm)],[])).
% 15.28/10.47 tff(13341,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v139(constB5)) | (~v128(constB5)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5))))))),
% 15.28/10.47 inference(monotonicity,[status(thm)],[13340])).
% 15.28/10.47 tff(13342,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v139(constB5)) | (~v128(constB5)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5))))))),
% 15.28/10.47 inference(transitivity,[status(thm)],[13341, 13339])).
% 15.28/10.47 tff(13343,plain,
% 15.28/10.47 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v139(constB5)) | (~v128(constB5)))))),
% 15.28/10.47 inference(quant_inst,[status(thm)],[])).
% 15.28/10.47 tff(13344,plain,
% 15.28/10.47 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5)))))),
% 15.28/10.47 inference(modus_ponens,[status(thm)],[13343, 13342])).
% 15.28/10.47 tff(13345,plain,
% 15.28/10.47 (v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5))))),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13344, 171])).
% 15.28/10.47 tff(13346,plain,
% 15.28/10.47 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB5) <=> v162(constB5))),
% 15.28/10.47 inference(quant_inst,[status(thm)],[])).
% 15.28/10.47 tff(13347,plain,
% 15.28/10.47 (v128(constB5) <=> v162(constB5)),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13346, 13])).
% 15.28/10.47 tff(13348,plain,
% 15.28/10.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB4, constB5)) | (v162(constB5) <=> v160(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB4, constB5)) | (v162(constB5) <=> v160(constB4)))),
% 15.28/10.47 inference(rewrite,[status(thm)],[])).
% 15.28/10.47 tff(13349,plain,
% 15.28/10.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB4, constB5)) | (v162(constB5) <=> v160(constB4)))),
% 15.28/10.47 inference(quant_inst,[status(thm)],[])).
% 15.28/10.47 tff(13350,plain,
% 15.28/10.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB4, constB5)) | (v162(constB5) <=> v160(constB4))),
% 15.28/10.47 inference(modus_ponens,[status(thm)],[13349, 13348])).
% 15.28/10.47 tff(13351,plain,
% 15.28/10.47 (v162(constB5) <=> v160(constB4)),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13350, 2101, 70])).
% 15.28/10.47 tff(13352,plain,
% 15.28/10.47 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB4) <=> (v163(constB4) | v164(constB4)))),
% 15.28/10.47 inference(quant_inst,[status(thm)],[])).
% 15.28/10.47 tff(13353,plain,
% 15.28/10.47 (v160(constB4) <=> (v163(constB4) | v164(constB4))),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13352, 84])).
% 15.28/10.47 tff(13354,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v130(constB4)) | (~v155(constB4)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v130(constB4)) | (~v155(constB4))))))),
% 15.28/10.47 inference(rewrite,[status(thm)],[])).
% 15.28/10.47 tff(13355,plain,
% 15.28/10.47 ((v164(constB4) <=> (~((~v155(constB4)) | (~v130(constB4))))) <=> (v164(constB4) <=> (~((~v130(constB4)) | (~v155(constB4)))))),
% 15.28/10.47 inference(rewrite,[status(thm)],[])).
% 15.28/10.47 tff(13356,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v155(constB4)) | (~v130(constB4)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v130(constB4)) | (~v155(constB4))))))),
% 15.28/10.47 inference(monotonicity,[status(thm)],[13355])).
% 15.28/10.47 tff(13357,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v155(constB4)) | (~v130(constB4)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v130(constB4)) | (~v155(constB4))))))),
% 15.28/10.47 inference(transitivity,[status(thm)],[13356, 13354])).
% 15.28/10.47 tff(13358,plain,
% 15.28/10.47 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v155(constB4)) | (~v130(constB4)))))),
% 15.28/10.47 inference(quant_inst,[status(thm)],[])).
% 15.28/10.47 tff(13359,plain,
% 15.28/10.47 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v130(constB4)) | (~v155(constB4)))))),
% 15.28/10.47 inference(modus_ponens,[status(thm)],[13358, 13357])).
% 15.28/10.47 tff(13360,plain,
% 15.28/10.47 (v164(constB4) <=> (~((~v130(constB4)) | (~v155(constB4))))),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13359, 96])).
% 15.28/10.47 tff(13361,plain,
% 15.28/10.47 (((~v130(constB4)) | (~v155(constB4))) | v155(constB4)),
% 15.28/10.47 inference(tautology,[status(thm)],[])).
% 15.28/10.47 tff(13362,plain,
% 15.28/10.47 ((~v130(constB4)) | (~v155(constB4))),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13361, 12983])).
% 15.28/10.47 tff(13363,plain,
% 15.28/10.47 ((~(v164(constB4) <=> (~((~v130(constB4)) | (~v155(constB4)))))) | (~v164(constB4)) | (~((~v130(constB4)) | (~v155(constB4))))),
% 15.28/10.47 inference(tautology,[status(thm)],[])).
% 15.28/10.47 tff(13364,plain,
% 15.28/10.47 (~v164(constB4)),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13363, 13362, 13360])).
% 15.28/10.47 tff(13365,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4))))))),
% 15.28/10.47 inference(rewrite,[status(thm)],[])).
% 15.28/10.47 tff(13366,plain,
% 15.28/10.47 ((v163(constB4) <=> (~((~v139(constB4)) | (~v128(constB4))))) <=> (v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4)))))),
% 15.28/10.47 inference(rewrite,[status(thm)],[])).
% 15.28/10.47 tff(13367,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v139(constB4)) | (~v128(constB4)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4))))))),
% 15.28/10.47 inference(monotonicity,[status(thm)],[13366])).
% 15.28/10.47 tff(13368,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v139(constB4)) | (~v128(constB4)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4))))))),
% 15.28/10.47 inference(transitivity,[status(thm)],[13367, 13365])).
% 15.28/10.47 tff(13369,plain,
% 15.28/10.47 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v139(constB4)) | (~v128(constB4)))))),
% 15.28/10.47 inference(quant_inst,[status(thm)],[])).
% 15.28/10.47 tff(13370,plain,
% 15.28/10.47 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4)))))),
% 15.28/10.47 inference(modus_ponens,[status(thm)],[13369, 13368])).
% 15.28/10.47 tff(13371,plain,
% 15.28/10.47 (v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4))))),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13370, 171])).
% 15.28/10.47 tff(13372,plain,
% 15.28/10.47 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB4) <=> v162(constB4))),
% 15.28/10.47 inference(quant_inst,[status(thm)],[])).
% 15.28/10.47 tff(13373,plain,
% 15.28/10.47 (v128(constB4) <=> v162(constB4)),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13372, 13])).
% 15.28/10.47 tff(13374,plain,
% 15.28/10.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB3, constB4)) | (v162(constB4) <=> v160(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB3, constB4)) | (v162(constB4) <=> v160(constB3)))),
% 15.28/10.47 inference(rewrite,[status(thm)],[])).
% 15.28/10.47 tff(13375,plain,
% 15.28/10.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB3, constB4)) | (v162(constB4) <=> v160(constB3)))),
% 15.28/10.47 inference(quant_inst,[status(thm)],[])).
% 15.28/10.47 tff(13376,plain,
% 15.28/10.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB3, constB4)) | (v162(constB4) <=> v160(constB3))),
% 15.28/10.47 inference(modus_ponens,[status(thm)],[13375, 13374])).
% 15.28/10.47 tff(13377,plain,
% 15.28/10.47 (v162(constB4) <=> v160(constB3)),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13376, 2137, 70])).
% 15.28/10.47 tff(13378,plain,
% 15.28/10.47 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB3) <=> (v163(constB3) | v164(constB3)))),
% 15.28/10.47 inference(quant_inst,[status(thm)],[])).
% 15.28/10.47 tff(13379,plain,
% 15.28/10.47 (v160(constB3) <=> (v163(constB3) | v164(constB3))),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13378, 84])).
% 15.28/10.47 tff(13380,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3))))))),
% 15.28/10.47 inference(rewrite,[status(thm)],[])).
% 15.28/10.47 tff(13381,plain,
% 15.28/10.47 ((v163(constB3) <=> (~((~v139(constB3)) | (~v128(constB3))))) <=> (v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3)))))),
% 15.28/10.47 inference(rewrite,[status(thm)],[])).
% 15.28/10.47 tff(13382,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v139(constB3)) | (~v128(constB3)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3))))))),
% 15.28/10.47 inference(monotonicity,[status(thm)],[13381])).
% 15.28/10.47 tff(13383,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v139(constB3)) | (~v128(constB3)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3))))))),
% 15.28/10.47 inference(transitivity,[status(thm)],[13382, 13380])).
% 15.28/10.47 tff(13384,plain,
% 15.28/10.47 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v139(constB3)) | (~v128(constB3)))))),
% 15.28/10.47 inference(quant_inst,[status(thm)],[])).
% 15.28/10.47 tff(13385,plain,
% 15.28/10.47 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3)))))),
% 15.28/10.47 inference(modus_ponens,[status(thm)],[13384, 13383])).
% 15.28/10.47 tff(13386,plain,
% 15.28/10.47 (v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3))))),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13385, 171])).
% 15.28/10.47 tff(13387,plain,
% 15.28/10.47 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB3) <=> v162(constB3))),
% 15.28/10.47 inference(quant_inst,[status(thm)],[])).
% 15.28/10.47 tff(13388,plain,
% 15.28/10.47 (v128(constB3) <=> v162(constB3)),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13387, 13])).
% 15.28/10.47 tff(13389,plain,
% 15.28/10.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB2, constB3)) | (v162(constB3) <=> v160(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB2, constB3)) | (v162(constB3) <=> v160(constB2)))),
% 15.28/10.47 inference(rewrite,[status(thm)],[])).
% 15.28/10.47 tff(13390,plain,
% 15.28/10.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB2, constB3)) | (v162(constB3) <=> v160(constB2)))),
% 15.28/10.47 inference(quant_inst,[status(thm)],[])).
% 15.28/10.47 tff(13391,plain,
% 15.28/10.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB2, constB3)) | (v162(constB3) <=> v160(constB2))),
% 15.28/10.47 inference(modus_ponens,[status(thm)],[13390, 13389])).
% 15.28/10.47 tff(13392,plain,
% 15.28/10.47 (v162(constB3) <=> v160(constB2)),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13391, 2167, 70])).
% 15.28/10.47 tff(13393,plain,
% 15.28/10.47 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB2) <=> (v163(constB2) | v164(constB2)))),
% 15.28/10.47 inference(quant_inst,[status(thm)],[])).
% 15.28/10.47 tff(13394,plain,
% 15.28/10.47 (v160(constB2) <=> (v163(constB2) | v164(constB2))),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13393, 84])).
% 15.28/10.47 tff(13395,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v130(constB2)) | (~v155(constB2)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v130(constB2)) | (~v155(constB2))))))),
% 15.28/10.47 inference(rewrite,[status(thm)],[])).
% 15.28/10.47 tff(13396,plain,
% 15.28/10.47 ((v164(constB2) <=> (~((~v155(constB2)) | (~v130(constB2))))) <=> (v164(constB2) <=> (~((~v130(constB2)) | (~v155(constB2)))))),
% 15.28/10.47 inference(rewrite,[status(thm)],[])).
% 15.28/10.47 tff(13397,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v155(constB2)) | (~v130(constB2)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v130(constB2)) | (~v155(constB2))))))),
% 15.28/10.47 inference(monotonicity,[status(thm)],[13396])).
% 15.28/10.47 tff(13398,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v155(constB2)) | (~v130(constB2)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v130(constB2)) | (~v155(constB2))))))),
% 15.28/10.47 inference(transitivity,[status(thm)],[13397, 13395])).
% 15.28/10.47 tff(13399,plain,
% 15.28/10.47 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v155(constB2)) | (~v130(constB2)))))),
% 15.28/10.47 inference(quant_inst,[status(thm)],[])).
% 15.28/10.47 tff(13400,plain,
% 15.28/10.47 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v130(constB2)) | (~v155(constB2)))))),
% 15.28/10.47 inference(modus_ponens,[status(thm)],[13399, 13398])).
% 15.28/10.47 tff(13401,plain,
% 15.28/10.47 (v164(constB2) <=> (~((~v130(constB2)) | (~v155(constB2))))),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13400, 96])).
% 15.28/10.47 tff(13402,plain,
% 15.28/10.47 (((~v130(constB2)) | (~v155(constB2))) | v155(constB2)),
% 15.28/10.47 inference(tautology,[status(thm)],[])).
% 15.28/10.47 tff(13403,plain,
% 15.28/10.47 ((~v130(constB2)) | (~v155(constB2))),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13402, 13204])).
% 15.28/10.47 tff(13404,plain,
% 15.28/10.47 ((~(v164(constB2) <=> (~((~v130(constB2)) | (~v155(constB2)))))) | (~v164(constB2)) | (~((~v130(constB2)) | (~v155(constB2))))),
% 15.28/10.47 inference(tautology,[status(thm)],[])).
% 15.28/10.47 tff(13405,plain,
% 15.28/10.47 (~v164(constB2)),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13404, 13403, 13401])).
% 15.28/10.47 tff(13406,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2))))))),
% 15.28/10.47 inference(rewrite,[status(thm)],[])).
% 15.28/10.47 tff(13407,plain,
% 15.28/10.47 ((v163(constB2) <=> (~((~v139(constB2)) | (~v128(constB2))))) <=> (v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2)))))),
% 15.28/10.47 inference(rewrite,[status(thm)],[])).
% 15.28/10.47 tff(13408,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v139(constB2)) | (~v128(constB2)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2))))))),
% 15.28/10.47 inference(monotonicity,[status(thm)],[13407])).
% 15.28/10.47 tff(13409,plain,
% 15.28/10.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v139(constB2)) | (~v128(constB2)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2))))))),
% 15.28/10.47 inference(transitivity,[status(thm)],[13408, 13406])).
% 15.28/10.47 tff(13410,plain,
% 15.28/10.47 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v139(constB2)) | (~v128(constB2)))))),
% 15.28/10.47 inference(quant_inst,[status(thm)],[])).
% 15.28/10.47 tff(13411,plain,
% 15.28/10.47 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2)))))),
% 15.28/10.47 inference(modus_ponens,[status(thm)],[13410, 13409])).
% 15.28/10.47 tff(13412,plain,
% 15.28/10.47 (v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2))))),
% 15.28/10.47 inference(unit_resolution,[status(thm)],[13411, 171])).
% 15.28/10.47 tff(13413,plain,
% 15.28/10.47 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB2) <=> v162(constB2))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(13414,plain,
% 15.28/10.48 (v128(constB2) <=> v162(constB2)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13413, 13])).
% 15.28/10.48 tff(13415,plain,
% 15.28/10.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB1, constB2)) | (v162(constB2) <=> v160(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB1, constB2)) | (v162(constB2) <=> v160(constB1)))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(13416,plain,
% 15.28/10.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB1, constB2)) | (v162(constB2) <=> v160(constB1)))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(13417,plain,
% 15.28/10.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB1, constB2)) | (v162(constB2) <=> v160(constB1))),
% 15.28/10.48 inference(modus_ponens,[status(thm)],[13416, 13415])).
% 15.28/10.48 tff(13418,plain,
% 15.28/10.48 (v162(constB2) <=> v160(constB1)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13417, 2203, 70])).
% 15.28/10.48 tff(13419,plain,
% 15.28/10.48 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB1) <=> (v163(constB1) | v164(constB1)))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(13420,plain,
% 15.28/10.48 (v160(constB1) <=> (v163(constB1) | v164(constB1))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13419, 84])).
% 15.28/10.48 tff(13421,plain,
% 15.28/10.48 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v130(constB1)) | (~v155(constB1)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v130(constB1)) | (~v155(constB1))))))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(13422,plain,
% 15.28/10.48 ((v164(constB1) <=> (~((~v155(constB1)) | (~v130(constB1))))) <=> (v164(constB1) <=> (~((~v130(constB1)) | (~v155(constB1)))))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(13423,plain,
% 15.28/10.48 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v155(constB1)) | (~v130(constB1)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v130(constB1)) | (~v155(constB1))))))),
% 15.28/10.48 inference(monotonicity,[status(thm)],[13422])).
% 15.28/10.48 tff(13424,plain,
% 15.28/10.48 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v155(constB1)) | (~v130(constB1)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v130(constB1)) | (~v155(constB1))))))),
% 15.28/10.48 inference(transitivity,[status(thm)],[13423, 13421])).
% 15.28/10.48 tff(13425,plain,
% 15.28/10.48 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v155(constB1)) | (~v130(constB1)))))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(13426,plain,
% 15.28/10.48 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v130(constB1)) | (~v155(constB1)))))),
% 15.28/10.48 inference(modus_ponens,[status(thm)],[13425, 13424])).
% 15.28/10.48 tff(13427,plain,
% 15.28/10.48 (v164(constB1) <=> (~((~v130(constB1)) | (~v155(constB1))))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13426, 96])).
% 15.28/10.48 tff(13428,plain,
% 15.28/10.48 (((~v130(constB1)) | (~v155(constB1))) | v130(constB1)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13429,plain,
% 15.28/10.48 ((~v130(constB1)) | (~v155(constB1))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13428, 13274])).
% 15.28/10.48 tff(13430,plain,
% 15.28/10.48 ((~(v164(constB1) <=> (~((~v130(constB1)) | (~v155(constB1)))))) | (~v164(constB1)) | (~((~v130(constB1)) | (~v155(constB1))))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13431,plain,
% 15.28/10.48 ((~(v164(constB1) <=> (~((~v130(constB1)) | (~v155(constB1)))))) | (~v164(constB1))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13430, 13429])).
% 15.28/10.48 tff(13432,plain,
% 15.28/10.48 (~v164(constB1)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13431, 13427])).
% 15.28/10.48 tff(13433,plain,
% 15.28/10.48 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1))))))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(13434,plain,
% 15.28/10.48 ((v163(constB1) <=> (~((~v139(constB1)) | (~v128(constB1))))) <=> (v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1)))))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(13435,plain,
% 15.28/10.48 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v139(constB1)) | (~v128(constB1)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1))))))),
% 15.28/10.48 inference(monotonicity,[status(thm)],[13434])).
% 15.28/10.48 tff(13436,plain,
% 15.28/10.48 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v139(constB1)) | (~v128(constB1)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1))))))),
% 15.28/10.48 inference(transitivity,[status(thm)],[13435, 13433])).
% 15.28/10.48 tff(13437,plain,
% 15.28/10.48 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v139(constB1)) | (~v128(constB1)))))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(13438,plain,
% 15.28/10.48 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1)))))),
% 15.28/10.48 inference(modus_ponens,[status(thm)],[13437, 13436])).
% 15.28/10.48 tff(13439,plain,
% 15.28/10.48 (v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1))))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13438, 171])).
% 15.28/10.48 tff(13440,plain,
% 15.28/10.48 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB1) <=> v162(constB1))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(13441,plain,
% 15.28/10.48 (v128(constB1) <=> v162(constB1)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13440, 13])).
% 15.28/10.48 tff(13442,plain,
% 15.28/10.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB0, constB1)) | (v162(constB1) <=> v160(constB0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB0, constB1)) | (v162(constB1) <=> v160(constB0)))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(13443,plain,
% 15.28/10.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB0, constB1)) | (v162(constB1) <=> v160(constB0)))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(13444,plain,
% 15.28/10.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB0, constB1)) | (v162(constB1) <=> v160(constB0))),
% 15.28/10.48 inference(modus_ponens,[status(thm)],[13443, 13442])).
% 15.28/10.48 tff(13445,plain,
% 15.28/10.48 (v162(constB1) <=> v160(constB0)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13444, 2228, 70])).
% 15.28/10.48 tff(13446,plain,
% 15.28/10.48 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB0) <=> (v163(constB0) | v164(constB0)))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(13447,plain,
% 15.28/10.48 (v160(constB0) <=> (v163(constB0) | v164(constB0))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13446, 84])).
% 15.28/10.48 tff(13448,plain,
% 15.28/10.48 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v130(constB0)) | (~v155(constB0)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v130(constB0)) | (~v155(constB0))))))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(13449,plain,
% 15.28/10.48 ((v164(constB0) <=> (~((~v155(constB0)) | (~v130(constB0))))) <=> (v164(constB0) <=> (~((~v130(constB0)) | (~v155(constB0)))))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(13450,plain,
% 15.28/10.48 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v155(constB0)) | (~v130(constB0)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v130(constB0)) | (~v155(constB0))))))),
% 15.28/10.48 inference(monotonicity,[status(thm)],[13449])).
% 15.28/10.48 tff(13451,plain,
% 15.28/10.48 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v155(constB0)) | (~v130(constB0)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v130(constB0)) | (~v155(constB0))))))),
% 15.28/10.48 inference(transitivity,[status(thm)],[13450, 13448])).
% 15.28/10.48 tff(13452,plain,
% 15.28/10.48 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v155(constB0)) | (~v130(constB0)))))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(13453,plain,
% 15.28/10.48 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v130(constB0)) | (~v155(constB0)))))),
% 15.28/10.48 inference(modus_ponens,[status(thm)],[13452, 13451])).
% 15.28/10.48 tff(13454,plain,
% 15.28/10.48 (v164(constB0) <=> (~((~v130(constB0)) | (~v155(constB0))))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13453, 96])).
% 15.28/10.48 tff(13455,plain,
% 15.28/10.48 (((~v130(constB0)) | (~v155(constB0))) | v130(constB0)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13456,plain,
% 15.28/10.48 ((~v130(constB0)) | (~v155(constB0))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13455, 13260])).
% 15.28/10.48 tff(13457,plain,
% 15.28/10.48 ((~(v164(constB0) <=> (~((~v130(constB0)) | (~v155(constB0)))))) | (~v164(constB0)) | (~((~v130(constB0)) | (~v155(constB0))))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13458,plain,
% 15.28/10.48 ((~(v164(constB0) <=> (~((~v130(constB0)) | (~v155(constB0)))))) | (~v164(constB0))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13457, 13456])).
% 15.28/10.48 tff(13459,plain,
% 15.28/10.48 (~v164(constB0)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13458, 13454])).
% 15.28/10.48 tff(13460,plain,
% 15.28/10.48 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0))))))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(13461,plain,
% 15.28/10.48 ((v163(constB0) <=> (~((~v139(constB0)) | (~v128(constB0))))) <=> (v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0)))))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(13462,plain,
% 15.28/10.48 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v139(constB0)) | (~v128(constB0)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0))))))),
% 15.28/10.48 inference(monotonicity,[status(thm)],[13461])).
% 15.28/10.48 tff(13463,plain,
% 15.28/10.48 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v139(constB0)) | (~v128(constB0)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0))))))),
% 15.28/10.48 inference(transitivity,[status(thm)],[13462, 13460])).
% 15.28/10.48 tff(13464,plain,
% 15.28/10.48 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v139(constB0)) | (~v128(constB0)))))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(13465,plain,
% 15.28/10.48 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0)))))),
% 15.28/10.48 inference(modus_ponens,[status(thm)],[13464, 13463])).
% 15.28/10.48 tff(13466,plain,
% 15.28/10.48 (v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0))))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13465, 171])).
% 15.28/10.48 tff(13467,plain,
% 15.28/10.48 ((~v128(constB0)) <=> (~v128(constB0))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(13468,axiom,(~v128(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_7')).
% 15.28/10.48 tff(13469,plain,
% 15.28/10.48 (~v128(constB0)),
% 15.28/10.48 inference(modus_ponens,[status(thm)],[13468, 13467])).
% 15.28/10.48 tff(13470,plain,
% 15.28/10.48 (((~v128(constB0)) | (~v139(constB0))) | v128(constB0)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13471,plain,
% 15.28/10.48 ((~v128(constB0)) | (~v139(constB0))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13470, 13469])).
% 15.28/10.48 tff(13472,plain,
% 15.28/10.48 ((~(v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0)))))) | (~v163(constB0)) | (~((~v128(constB0)) | (~v139(constB0))))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13473,plain,
% 15.28/10.48 ((~(v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0)))))) | (~v163(constB0))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13472, 13471])).
% 15.28/10.48 tff(13474,plain,
% 15.28/10.48 (~v163(constB0)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13473, 13466])).
% 15.28/10.48 tff(13475,plain,
% 15.28/10.48 ((~(v163(constB0) | v164(constB0))) | v163(constB0) | v164(constB0)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13476,plain,
% 15.28/10.48 (~(v163(constB0) | v164(constB0))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13475, 13474, 13459])).
% 15.28/10.48 tff(13477,plain,
% 15.28/10.48 ((~(v160(constB0) <=> (v163(constB0) | v164(constB0)))) | (~v160(constB0)) | (v163(constB0) | v164(constB0))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13478,plain,
% 15.28/10.48 ((~(v160(constB0) <=> (v163(constB0) | v164(constB0)))) | (~v160(constB0))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13477, 13476])).
% 15.28/10.48 tff(13479,plain,
% 15.28/10.48 (~v160(constB0)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13478, 13447])).
% 15.28/10.48 tff(13480,plain,
% 15.28/10.48 ((~(v162(constB1) <=> v160(constB0))) | (~v162(constB1)) | v160(constB0)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13481,plain,
% 15.28/10.48 (~v162(constB1)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13480, 13479, 13445])).
% 15.28/10.48 tff(13482,plain,
% 15.28/10.48 ((~(v128(constB1) <=> v162(constB1))) | (~v128(constB1)) | v162(constB1)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13483,plain,
% 15.28/10.48 (~v128(constB1)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13482, 13481, 13441])).
% 15.28/10.48 tff(13484,plain,
% 15.28/10.48 (((~v128(constB1)) | (~v139(constB1))) | v128(constB1)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13485,plain,
% 15.28/10.48 ((~v128(constB1)) | (~v139(constB1))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13484, 13483])).
% 15.28/10.48 tff(13486,plain,
% 15.28/10.48 ((~(v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1)))))) | (~v163(constB1)) | (~((~v128(constB1)) | (~v139(constB1))))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13487,plain,
% 15.28/10.48 ((~(v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1)))))) | (~v163(constB1))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13486, 13485])).
% 15.28/10.48 tff(13488,plain,
% 15.28/10.48 (~v163(constB1)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13487, 13439])).
% 15.28/10.48 tff(13489,plain,
% 15.28/10.48 ((~(v163(constB1) | v164(constB1))) | v163(constB1) | v164(constB1)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13490,plain,
% 15.28/10.48 (~(v163(constB1) | v164(constB1))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13489, 13488, 13432])).
% 15.28/10.48 tff(13491,plain,
% 15.28/10.48 ((~(v160(constB1) <=> (v163(constB1) | v164(constB1)))) | (~v160(constB1)) | (v163(constB1) | v164(constB1))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13492,plain,
% 15.28/10.48 (~v160(constB1)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13491, 13490, 13420])).
% 15.28/10.48 tff(13493,plain,
% 15.28/10.48 ((~(v162(constB2) <=> v160(constB1))) | (~v162(constB2)) | v160(constB1)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13494,plain,
% 15.28/10.48 (~v162(constB2)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13493, 13492, 13418])).
% 15.28/10.48 tff(13495,plain,
% 15.28/10.48 ((~(v128(constB2) <=> v162(constB2))) | (~v128(constB2)) | v162(constB2)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13496,plain,
% 15.28/10.48 (~v128(constB2)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13495, 13494, 13414])).
% 15.28/10.48 tff(13497,plain,
% 15.28/10.48 (((~v128(constB2)) | (~v139(constB2))) | v128(constB2)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13498,plain,
% 15.28/10.48 ((~v128(constB2)) | (~v139(constB2))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13497, 13496])).
% 15.28/10.48 tff(13499,plain,
% 15.28/10.48 ((~(v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2)))))) | (~v163(constB2)) | (~((~v128(constB2)) | (~v139(constB2))))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13500,plain,
% 15.28/10.48 (~v163(constB2)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13499, 13498, 13412])).
% 15.28/10.48 tff(13501,plain,
% 15.28/10.48 ((~(v163(constB2) | v164(constB2))) | v163(constB2) | v164(constB2)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13502,plain,
% 15.28/10.48 (~(v163(constB2) | v164(constB2))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13501, 13500, 13405])).
% 15.28/10.48 tff(13503,plain,
% 15.28/10.48 ((~(v160(constB2) <=> (v163(constB2) | v164(constB2)))) | (~v160(constB2)) | (v163(constB2) | v164(constB2))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13504,plain,
% 15.28/10.48 (~v160(constB2)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13503, 13502, 13394])).
% 15.28/10.48 tff(13505,plain,
% 15.28/10.48 ((~(v162(constB3) <=> v160(constB2))) | (~v162(constB3)) | v160(constB2)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13506,plain,
% 15.28/10.48 (~v162(constB3)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13505, 13504, 13392])).
% 15.28/10.48 tff(13507,plain,
% 15.28/10.48 ((~(v128(constB3) <=> v162(constB3))) | (~v128(constB3)) | v162(constB3)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13508,plain,
% 15.28/10.48 (~v128(constB3)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13507, 13506, 13388])).
% 15.28/10.48 tff(13509,plain,
% 15.28/10.48 (((~v128(constB3)) | (~v139(constB3))) | v128(constB3)),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13510,plain,
% 15.28/10.48 ((~v128(constB3)) | (~v139(constB3))),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13509, 13508])).
% 15.28/10.48 tff(13511,plain,
% 15.28/10.48 ((~(v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3)))))) | (~v163(constB3)) | (~((~v128(constB3)) | (~v139(constB3))))),
% 15.28/10.48 inference(tautology,[status(thm)],[])).
% 15.28/10.48 tff(13512,plain,
% 15.28/10.48 (~v163(constB3)),
% 15.28/10.48 inference(unit_resolution,[status(thm)],[13511, 13510, 13386])).
% 15.28/10.48 tff(13513,plain,
% 15.28/10.48 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v130(constB3)) | (~v155(constB3)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v130(constB3)) | (~v155(constB3))))))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(13514,plain,
% 15.28/10.48 ((v164(constB3) <=> (~((~v155(constB3)) | (~v130(constB3))))) <=> (v164(constB3) <=> (~((~v130(constB3)) | (~v155(constB3)))))),
% 15.28/10.48 inference(rewrite,[status(thm)],[])).
% 15.28/10.48 tff(13515,plain,
% 15.28/10.48 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v155(constB3)) | (~v130(constB3)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v130(constB3)) | (~v155(constB3))))))),
% 15.28/10.48 inference(monotonicity,[status(thm)],[13514])).
% 15.28/10.48 tff(13516,plain,
% 15.28/10.48 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v155(constB3)) | (~v130(constB3)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v130(constB3)) | (~v155(constB3))))))),
% 15.28/10.48 inference(transitivity,[status(thm)],[13515, 13513])).
% 15.28/10.48 tff(13517,plain,
% 15.28/10.48 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v155(constB3)) | (~v130(constB3)))))),
% 15.28/10.48 inference(quant_inst,[status(thm)],[])).
% 15.28/10.48 tff(13518,plain,
% 15.28/10.48 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v130(constB3)) | (~v155(constB3)))))),
% 15.28/10.48 inference(modus_ponens,[status(thm)],[13517, 13516])).
% 15.28/10.49 tff(13519,plain,
% 15.28/10.49 (v164(constB3) <=> (~((~v130(constB3)) | (~v155(constB3))))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13518, 96])).
% 15.28/10.49 tff(13520,plain,
% 15.28/10.49 (((~v130(constB3)) | (~v155(constB3))) | v130(constB3)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13521,plain,
% 15.28/10.49 ((~v130(constB3)) | (~v155(constB3))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13520, 13310])).
% 15.28/10.49 tff(13522,plain,
% 15.28/10.49 ((~(v164(constB3) <=> (~((~v130(constB3)) | (~v155(constB3)))))) | (~v164(constB3)) | (~((~v130(constB3)) | (~v155(constB3))))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13523,plain,
% 15.28/10.49 (~v164(constB3)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13522, 13521, 13519])).
% 15.28/10.49 tff(13524,plain,
% 15.28/10.49 ((~(v163(constB3) | v164(constB3))) | v163(constB3) | v164(constB3)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13525,plain,
% 15.28/10.49 (~(v163(constB3) | v164(constB3))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13524, 13523, 13512])).
% 15.28/10.49 tff(13526,plain,
% 15.28/10.49 ((~(v160(constB3) <=> (v163(constB3) | v164(constB3)))) | (~v160(constB3)) | (v163(constB3) | v164(constB3))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13527,plain,
% 15.28/10.49 (~v160(constB3)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13526, 13525, 13379])).
% 15.28/10.49 tff(13528,plain,
% 15.28/10.49 ((~(v162(constB4) <=> v160(constB3))) | (~v162(constB4)) | v160(constB3)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13529,plain,
% 15.28/10.49 (~v162(constB4)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13528, 13527, 13377])).
% 15.28/10.49 tff(13530,plain,
% 15.28/10.49 ((~(v128(constB4) <=> v162(constB4))) | (~v128(constB4)) | v162(constB4)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13531,plain,
% 15.28/10.49 (~v128(constB4)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13530, 13529, 13373])).
% 15.28/10.49 tff(13532,plain,
% 15.28/10.49 (((~v128(constB4)) | (~v139(constB4))) | v128(constB4)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13533,plain,
% 15.28/10.49 ((~v128(constB4)) | (~v139(constB4))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13532, 13531])).
% 15.28/10.49 tff(13534,plain,
% 15.28/10.49 ((~(v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4)))))) | (~v163(constB4)) | (~((~v128(constB4)) | (~v139(constB4))))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13535,plain,
% 15.28/10.49 (~v163(constB4)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13534, 13533, 13371])).
% 15.28/10.49 tff(13536,plain,
% 15.28/10.49 ((~(v163(constB4) | v164(constB4))) | v163(constB4) | v164(constB4)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13537,plain,
% 15.28/10.49 (~(v163(constB4) | v164(constB4))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13536, 13535, 13364])).
% 15.28/10.49 tff(13538,plain,
% 15.28/10.49 ((~(v160(constB4) <=> (v163(constB4) | v164(constB4)))) | (~v160(constB4)) | (v163(constB4) | v164(constB4))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13539,plain,
% 15.28/10.49 (~v160(constB4)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13538, 13537, 13353])).
% 15.28/10.49 tff(13540,plain,
% 15.28/10.49 ((~(v162(constB5) <=> v160(constB4))) | (~v162(constB5)) | v160(constB4)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13541,plain,
% 15.28/10.49 (~v162(constB5)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13540, 13539, 13351])).
% 15.28/10.49 tff(13542,plain,
% 15.28/10.49 ((~(v128(constB5) <=> v162(constB5))) | (~v128(constB5)) | v162(constB5)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13543,plain,
% 15.28/10.49 (~v128(constB5)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13542, 13541, 13347])).
% 15.28/10.49 tff(13544,plain,
% 15.28/10.49 (((~v128(constB5)) | (~v139(constB5))) | v128(constB5)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13545,plain,
% 15.28/10.49 ((~v128(constB5)) | (~v139(constB5))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13544, 13543])).
% 15.28/10.49 tff(13546,plain,
% 15.28/10.49 ((~(v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5)))))) | (~v163(constB5)) | (~((~v128(constB5)) | (~v139(constB5))))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13547,plain,
% 15.28/10.49 (~v163(constB5)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13546, 13545, 13345])).
% 15.28/10.49 tff(13548,plain,
% 15.28/10.49 ((~(v163(constB5) | v164(constB5))) | v163(constB5) | v164(constB5)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13549,plain,
% 15.28/10.49 (~(v163(constB5) | v164(constB5))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13548, 13547, 13338])).
% 15.28/10.49 tff(13550,plain,
% 15.28/10.49 ((~(v160(constB5) <=> (v163(constB5) | v164(constB5)))) | (~v160(constB5)) | (v163(constB5) | v164(constB5))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13551,plain,
% 15.28/10.49 (~v160(constB5)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13550, 13549, 12937])).
% 15.28/10.49 tff(13552,plain,
% 15.28/10.49 ((~(v162(constB6) <=> v160(constB5))) | (~v162(constB6)) | v160(constB5)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13553,plain,
% 15.28/10.49 (~v162(constB6)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13552, 13551, 12935])).
% 15.28/10.49 tff(13554,plain,
% 15.28/10.49 ((~(v128(constB6) <=> v162(constB6))) | (~v128(constB6)) | v162(constB6)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13555,plain,
% 15.28/10.49 (~v128(constB6)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13554, 13553, 12931])).
% 15.28/10.49 tff(13556,plain,
% 15.28/10.49 (((~v128(constB6)) | (~v139(constB6))) | v128(constB6)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13557,plain,
% 15.28/10.49 ((~v128(constB6)) | (~v139(constB6))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13556, 13555])).
% 15.28/10.49 tff(13558,plain,
% 15.28/10.49 ((~(v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6)))))) | (~v163(constB6)) | (~((~v128(constB6)) | (~v139(constB6))))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13559,plain,
% 15.28/10.49 (~v163(constB6)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13558, 13557, 12929])).
% 15.28/10.49 tff(13560,plain,
% 15.28/10.49 ((~(v163(constB6) | v164(constB6))) | v163(constB6) | v164(constB6)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13561,plain,
% 15.28/10.49 (~(v163(constB6) | v164(constB6))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13560, 13559, 12922])).
% 15.28/10.49 tff(13562,plain,
% 15.28/10.49 ((~(v160(constB6) <=> (v163(constB6) | v164(constB6)))) | (~v160(constB6)) | (v163(constB6) | v164(constB6))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13563,plain,
% 15.28/10.49 (~v160(constB6)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13562, 13561, 12887])).
% 15.28/10.49 tff(13564,plain,
% 15.28/10.49 ((~(v162(constB7) <=> v160(constB6))) | (~v162(constB7)) | v160(constB6)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13565,plain,
% 15.28/10.49 (~v162(constB7)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13564, 13563, 12885])).
% 15.28/10.49 tff(13566,plain,
% 15.28/10.49 ((~(v128(constB7) <=> v162(constB7))) | (~v128(constB7)) | v162(constB7)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13567,plain,
% 15.28/10.49 (~v128(constB7)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13566, 13565, 12881])).
% 15.28/10.49 tff(13568,plain,
% 15.28/10.49 (((~v128(constB7)) | (~v139(constB7))) | v128(constB7)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13569,plain,
% 15.28/10.49 ((~v128(constB7)) | (~v139(constB7))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13568, 13567])).
% 15.28/10.49 tff(13570,plain,
% 15.28/10.49 ((~(v163(constB7) <=> (~((~v128(constB7)) | (~v139(constB7)))))) | (~v163(constB7)) | (~((~v128(constB7)) | (~v139(constB7))))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13571,plain,
% 15.28/10.49 (~v163(constB7)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13570, 13569, 12879])).
% 15.28/10.49 tff(13572,plain,
% 15.28/10.49 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB7) <=> (~((~v130(constB7)) | (~v155(constB7)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB7) <=> (~((~v130(constB7)) | (~v155(constB7))))))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(13573,plain,
% 15.28/10.49 ((v164(constB7) <=> (~((~v155(constB7)) | (~v130(constB7))))) <=> (v164(constB7) <=> (~((~v130(constB7)) | (~v155(constB7)))))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(13574,plain,
% 15.28/10.49 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB7) <=> (~((~v155(constB7)) | (~v130(constB7)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB7) <=> (~((~v130(constB7)) | (~v155(constB7))))))),
% 15.28/10.49 inference(monotonicity,[status(thm)],[13573])).
% 15.28/10.49 tff(13575,plain,
% 15.28/10.49 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB7) <=> (~((~v155(constB7)) | (~v130(constB7)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB7) <=> (~((~v130(constB7)) | (~v155(constB7))))))),
% 15.28/10.49 inference(transitivity,[status(thm)],[13574, 13572])).
% 15.28/10.49 tff(13576,plain,
% 15.28/10.49 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB7) <=> (~((~v155(constB7)) | (~v130(constB7)))))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(13577,plain,
% 15.28/10.49 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB7) <=> (~((~v130(constB7)) | (~v155(constB7)))))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[13576, 13575])).
% 15.28/10.49 tff(13578,plain,
% 15.28/10.49 (v164(constB7) <=> (~((~v130(constB7)) | (~v155(constB7))))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13577, 96])).
% 15.28/10.49 tff(13579,plain,
% 15.28/10.49 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB7) <=> v152(constB7))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(13580,plain,
% 15.28/10.49 (v130(constB7) <=> v152(constB7)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13579, 361])).
% 15.28/10.49 tff(13581,plain,
% 15.28/10.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB6, constB7)) | (v152(constB7) <=> v150(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB6, constB7)) | (v152(constB7) <=> v150(constB6)))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(13582,plain,
% 15.28/10.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB6, constB7)) | (v152(constB7) <=> v150(constB6)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(13583,plain,
% 15.28/10.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB6, constB7)) | (v152(constB7) <=> v150(constB6))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[13582, 13581])).
% 15.28/10.49 tff(13584,plain,
% 15.28/10.49 (v152(constB7) <=> v150(constB6)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13583, 2040, 373])).
% 15.28/10.49 tff(13585,plain,
% 15.28/10.49 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB6) <=> (v153(constB6) | v154(constB6)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(13586,plain,
% 15.28/10.49 (v150(constB6) <=> (v153(constB6) | v154(constB6))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13585, 387])).
% 15.28/10.49 tff(13587,plain,
% 15.28/10.49 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB6) <=> (~((~v132(constB6)) | (~v155(constB6)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB6) <=> (~((~v132(constB6)) | (~v155(constB6))))))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(13588,plain,
% 15.28/10.49 ((v154(constB6) <=> (~((~v155(constB6)) | (~v132(constB6))))) <=> (v154(constB6) <=> (~((~v132(constB6)) | (~v155(constB6)))))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(13589,plain,
% 15.28/10.49 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB6) <=> (~((~v155(constB6)) | (~v132(constB6)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB6) <=> (~((~v132(constB6)) | (~v155(constB6))))))),
% 15.28/10.49 inference(monotonicity,[status(thm)],[13588])).
% 15.28/10.49 tff(13590,plain,
% 15.28/10.49 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB6) <=> (~((~v155(constB6)) | (~v132(constB6)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB6) <=> (~((~v132(constB6)) | (~v155(constB6))))))),
% 15.28/10.49 inference(transitivity,[status(thm)],[13589, 13587])).
% 15.28/10.49 tff(13591,plain,
% 15.28/10.49 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB6) <=> (~((~v155(constB6)) | (~v132(constB6)))))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(13592,plain,
% 15.28/10.49 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB6) <=> (~((~v132(constB6)) | (~v155(constB6)))))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[13591, 13590])).
% 15.28/10.49 tff(13593,plain,
% 15.28/10.49 (v154(constB6) <=> (~((~v132(constB6)) | (~v155(constB6))))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13592, 399])).
% 15.28/10.49 tff(13594,plain,
% 15.28/10.49 (((~v132(constB6)) | (~v155(constB6))) | v155(constB6)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13595,plain,
% 15.28/10.49 ((~v132(constB6)) | (~v155(constB6))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13594, 12918])).
% 15.28/10.49 tff(13596,plain,
% 15.28/10.49 ((~(v154(constB6) <=> (~((~v132(constB6)) | (~v155(constB6)))))) | (~v154(constB6)) | (~((~v132(constB6)) | (~v155(constB6))))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13597,plain,
% 15.28/10.49 (~v154(constB6)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13596, 13595, 13593])).
% 15.28/10.49 tff(13598,plain,
% 15.28/10.49 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB6) <=> (~((~v130(constB6)) | (~v139(constB6)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB6) <=> (~((~v130(constB6)) | (~v139(constB6))))))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(13599,plain,
% 15.28/10.49 ((v153(constB6) <=> (~((~v139(constB6)) | (~v130(constB6))))) <=> (v153(constB6) <=> (~((~v130(constB6)) | (~v139(constB6)))))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(13600,plain,
% 15.28/10.49 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB6) <=> (~((~v139(constB6)) | (~v130(constB6)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB6) <=> (~((~v130(constB6)) | (~v139(constB6))))))),
% 15.28/10.49 inference(monotonicity,[status(thm)],[13599])).
% 15.28/10.49 tff(13601,plain,
% 15.28/10.49 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB6) <=> (~((~v139(constB6)) | (~v130(constB6)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB6) <=> (~((~v130(constB6)) | (~v139(constB6))))))),
% 15.28/10.49 inference(transitivity,[status(thm)],[13600, 13598])).
% 15.28/10.49 tff(13602,plain,
% 15.28/10.49 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB6) <=> (~((~v139(constB6)) | (~v130(constB6)))))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(13603,plain,
% 15.28/10.49 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB6) <=> (~((~v130(constB6)) | (~v139(constB6)))))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[13602, 13601])).
% 15.28/10.49 tff(13604,plain,
% 15.28/10.49 (v153(constB6) <=> (~((~v130(constB6)) | (~v139(constB6))))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13603, 447])).
% 15.28/10.49 tff(13605,plain,
% 15.28/10.49 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB6) <=> v152(constB6))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(13606,plain,
% 15.28/10.49 (v130(constB6) <=> v152(constB6)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13605, 361])).
% 15.28/10.49 tff(13607,plain,
% 15.28/10.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB5, constB6)) | (v152(constB6) <=> v150(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB5, constB6)) | (v152(constB6) <=> v150(constB5)))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(13608,plain,
% 15.28/10.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB5, constB6)) | (v152(constB6) <=> v150(constB5)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(13609,plain,
% 15.28/10.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB5, constB6)) | (v152(constB6) <=> v150(constB5))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[13608, 13607])).
% 15.28/10.49 tff(13610,plain,
% 15.28/10.49 (v152(constB6) <=> v150(constB5)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13609, 2076, 373])).
% 15.28/10.49 tff(13611,plain,
% 15.28/10.49 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB5) <=> (v153(constB5) | v154(constB5)))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(13612,plain,
% 15.28/10.49 (v150(constB5) <=> (v153(constB5) | v154(constB5))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13611, 387])).
% 15.28/10.49 tff(13613,plain,
% 15.28/10.49 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB5) <=> (~((~v130(constB5)) | (~v139(constB5)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB5) <=> (~((~v130(constB5)) | (~v139(constB5))))))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(13614,plain,
% 15.28/10.49 ((v153(constB5) <=> (~((~v139(constB5)) | (~v130(constB5))))) <=> (v153(constB5) <=> (~((~v130(constB5)) | (~v139(constB5)))))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(13615,plain,
% 15.28/10.49 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB5) <=> (~((~v139(constB5)) | (~v130(constB5)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB5) <=> (~((~v130(constB5)) | (~v139(constB5))))))),
% 15.28/10.49 inference(monotonicity,[status(thm)],[13614])).
% 15.28/10.49 tff(13616,plain,
% 15.28/10.49 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB5) <=> (~((~v139(constB5)) | (~v130(constB5)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB5) <=> (~((~v130(constB5)) | (~v139(constB5))))))),
% 15.28/10.49 inference(transitivity,[status(thm)],[13615, 13613])).
% 15.28/10.49 tff(13617,plain,
% 15.28/10.49 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB5) <=> (~((~v139(constB5)) | (~v130(constB5)))))),
% 15.28/10.49 inference(quant_inst,[status(thm)],[])).
% 15.28/10.49 tff(13618,plain,
% 15.28/10.49 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB5) <=> (~((~v130(constB5)) | (~v139(constB5)))))),
% 15.28/10.49 inference(modus_ponens,[status(thm)],[13617, 13616])).
% 15.28/10.49 tff(13619,plain,
% 15.28/10.49 (v153(constB5) <=> (~((~v130(constB5)) | (~v139(constB5))))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13618, 447])).
% 15.28/10.49 tff(13620,plain,
% 15.28/10.49 (((~v130(constB5)) | (~v139(constB5))) | v130(constB5)),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13621,plain,
% 15.28/10.49 ((~v130(constB5)) | (~v139(constB5))),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13620, 13334])).
% 15.28/10.49 tff(13622,plain,
% 15.28/10.49 ((~(v153(constB5) <=> (~((~v130(constB5)) | (~v139(constB5)))))) | (~v153(constB5)) | (~((~v130(constB5)) | (~v139(constB5))))),
% 15.28/10.49 inference(tautology,[status(thm)],[])).
% 15.28/10.49 tff(13623,plain,
% 15.28/10.49 (~v153(constB5)),
% 15.28/10.49 inference(unit_resolution,[status(thm)],[13622, 13621, 13619])).
% 15.28/10.49 tff(13624,plain,
% 15.28/10.49 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB5) <=> (~((~v132(constB5)) | (~v155(constB5)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB5) <=> (~((~v132(constB5)) | (~v155(constB5))))))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(13625,plain,
% 15.28/10.49 ((v154(constB5) <=> (~((~v155(constB5)) | (~v132(constB5))))) <=> (v154(constB5) <=> (~((~v132(constB5)) | (~v155(constB5)))))),
% 15.28/10.49 inference(rewrite,[status(thm)],[])).
% 15.28/10.49 tff(13626,plain,
% 15.28/10.49 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB5) <=> (~((~v155(constB5)) | (~v132(constB5)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB5) <=> (~((~v132(constB5)) | (~v155(constB5))))))),
% 15.28/10.49 inference(monotonicity,[status(thm)],[13625])).
% 15.28/10.49 tff(13627,plain,
% 15.28/10.49 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB5) <=> (~((~v155(constB5)) | (~v132(constB5)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB5) <=> (~((~v132(constB5)) | (~v155(constB5))))))),
% 15.28/10.50 inference(transitivity,[status(thm)],[13626, 13624])).
% 15.28/10.50 tff(13628,plain,
% 15.28/10.50 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB5) <=> (~((~v155(constB5)) | (~v132(constB5)))))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(13629,plain,
% 15.28/10.50 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB5) <=> (~((~v132(constB5)) | (~v155(constB5)))))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[13628, 13627])).
% 15.28/10.50 tff(13630,plain,
% 15.28/10.50 (v154(constB5) <=> (~((~v132(constB5)) | (~v155(constB5))))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13629, 399])).
% 15.28/10.50 tff(13631,plain,
% 15.28/10.50 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB5) <=> v137(constB5))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(13632,plain,
% 15.28/10.50 (v132(constB5) <=> v137(constB5)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13631, 558])).
% 15.28/10.50 tff(13633,plain,
% 15.28/10.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB4, constB5)) | (v137(constB5) <=> v135(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB4, constB5)) | (v137(constB5) <=> v135(constB4)))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(13634,plain,
% 15.28/10.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB4, constB5)) | (v137(constB5) <=> v135(constB4)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(13635,plain,
% 15.28/10.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB4, constB5)) | (v137(constB5) <=> v135(constB4))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[13634, 13633])).
% 15.28/10.50 tff(13636,plain,
% 15.28/10.50 (v137(constB5) <=> v135(constB4)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13635, 2101, 570])).
% 15.28/10.50 tff(13637,plain,
% 15.28/10.50 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB4) <=> (v138(constB4) | v142(constB4)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(13638,plain,
% 15.28/10.50 (v135(constB4) <=> (v138(constB4) | v142(constB4))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13637, 584])).
% 15.28/10.50 tff(13639,plain,
% 15.28/10.50 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB4) <=> (~((~v143(constB4)) | (~v144(constB4)))))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(13640,plain,
% 15.28/10.50 (v142(constB4) <=> (~((~v143(constB4)) | (~v144(constB4))))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13639, 596])).
% 15.28/10.50 tff(13641,plain,
% 15.28/10.50 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB4) <=> (~((~v141(constB4)) | (~v145(constB4)))))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(13642,plain,
% 15.28/10.50 (v144(constB4) <=> (~((~v141(constB4)) | (~v145(constB4))))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13641, 608])).
% 15.28/10.50 tff(13643,plain,
% 15.28/10.50 (((~v141(constB4)) | (~v145(constB4))) | v141(constB4)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13644,plain,
% 15.28/10.50 ((~v141(constB4)) | (~v145(constB4))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13643, 12978])).
% 15.28/10.50 tff(13645,plain,
% 15.28/10.50 ((~(v144(constB4) <=> (~((~v141(constB4)) | (~v145(constB4)))))) | (~v144(constB4)) | (~((~v141(constB4)) | (~v145(constB4))))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13646,plain,
% 15.28/10.50 ((~(v144(constB4) <=> (~((~v141(constB4)) | (~v145(constB4)))))) | (~v144(constB4))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13645, 13644])).
% 15.28/10.50 tff(13647,plain,
% 15.28/10.50 (~v144(constB4)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13646, 13642])).
% 15.28/10.50 tff(13648,plain,
% 15.28/10.50 (((~v143(constB4)) | (~v144(constB4))) | v144(constB4)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13649,plain,
% 15.28/10.50 ((~v143(constB4)) | (~v144(constB4))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13648, 13647])).
% 15.28/10.50 tff(13650,plain,
% 15.28/10.50 ((~(v142(constB4) <=> (~((~v143(constB4)) | (~v144(constB4)))))) | (~v142(constB4)) | (~((~v143(constB4)) | (~v144(constB4))))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13651,plain,
% 15.28/10.50 (~v142(constB4)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13650, 13649, 13640])).
% 15.28/10.50 tff(13652,plain,
% 15.28/10.50 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB4) <=> (~((~v132(constB4)) | (~v139(constB4)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB4) <=> (~((~v132(constB4)) | (~v139(constB4))))))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(13653,plain,
% 15.28/10.50 ((v138(constB4) <=> (~((~v139(constB4)) | (~v132(constB4))))) <=> (v138(constB4) <=> (~((~v132(constB4)) | (~v139(constB4)))))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(13654,plain,
% 15.28/10.50 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB4) <=> (~((~v139(constB4)) | (~v132(constB4)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB4) <=> (~((~v132(constB4)) | (~v139(constB4))))))),
% 15.28/10.50 inference(monotonicity,[status(thm)],[13653])).
% 15.28/10.50 tff(13655,plain,
% 15.28/10.50 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB4) <=> (~((~v139(constB4)) | (~v132(constB4)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB4) <=> (~((~v132(constB4)) | (~v139(constB4))))))),
% 15.28/10.50 inference(transitivity,[status(thm)],[13654, 13652])).
% 15.28/10.50 tff(13656,plain,
% 15.28/10.50 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB4) <=> (~((~v139(constB4)) | (~v132(constB4)))))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(13657,plain,
% 15.28/10.50 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB4) <=> (~((~v132(constB4)) | (~v139(constB4)))))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[13656, 13655])).
% 15.28/10.50 tff(13658,plain,
% 15.28/10.50 (v138(constB4) <=> (~((~v132(constB4)) | (~v139(constB4))))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13657, 644])).
% 15.28/10.50 tff(13659,plain,
% 15.28/10.50 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB4) <=> v137(constB4))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(13660,plain,
% 15.28/10.50 (v132(constB4) <=> v137(constB4)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13659, 558])).
% 15.28/10.50 tff(13661,plain,
% 15.28/10.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB3, constB4)) | (v137(constB4) <=> v135(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB3, constB4)) | (v137(constB4) <=> v135(constB3)))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(13662,plain,
% 15.28/10.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB3, constB4)) | (v137(constB4) <=> v135(constB3)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(13663,plain,
% 15.28/10.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB3, constB4)) | (v137(constB4) <=> v135(constB3))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[13662, 13661])).
% 15.28/10.50 tff(13664,plain,
% 15.28/10.50 (v137(constB4) <=> v135(constB3)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13663, 2137, 570])).
% 15.28/10.50 tff(13665,plain,
% 15.28/10.50 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB3) <=> (v138(constB3) | v142(constB3)))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(13666,plain,
% 15.28/10.50 (v135(constB3) <=> (v138(constB3) | v142(constB3))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13665, 584])).
% 15.28/10.50 tff(13667,plain,
% 15.28/10.50 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB3) <=> (~((~v132(constB3)) | (~v139(constB3)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB3) <=> (~((~v132(constB3)) | (~v139(constB3))))))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(13668,plain,
% 15.28/10.50 ((v138(constB3) <=> (~((~v139(constB3)) | (~v132(constB3))))) <=> (v138(constB3) <=> (~((~v132(constB3)) | (~v139(constB3)))))),
% 15.28/10.50 inference(rewrite,[status(thm)],[])).
% 15.28/10.50 tff(13669,plain,
% 15.28/10.50 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB3) <=> (~((~v139(constB3)) | (~v132(constB3)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB3) <=> (~((~v132(constB3)) | (~v139(constB3))))))),
% 15.28/10.50 inference(monotonicity,[status(thm)],[13668])).
% 15.28/10.50 tff(13670,plain,
% 15.28/10.50 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB3) <=> (~((~v139(constB3)) | (~v132(constB3)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB3) <=> (~((~v132(constB3)) | (~v139(constB3))))))),
% 15.28/10.50 inference(transitivity,[status(thm)],[13669, 13667])).
% 15.28/10.50 tff(13671,plain,
% 15.28/10.50 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB3) <=> (~((~v139(constB3)) | (~v132(constB3)))))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(13672,plain,
% 15.28/10.50 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB3) <=> (~((~v132(constB3)) | (~v139(constB3)))))),
% 15.28/10.50 inference(modus_ponens,[status(thm)],[13671, 13670])).
% 15.28/10.50 tff(13673,plain,
% 15.28/10.50 (v138(constB3) <=> (~((~v132(constB3)) | (~v139(constB3))))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13672, 644])).
% 15.28/10.50 tff(13674,plain,
% 15.28/10.50 (((~v132(constB3)) | (~v139(constB3))) | v132(constB3)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13675,plain,
% 15.28/10.50 ((~v132(constB3)) | (~v139(constB3))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13674, 13166])).
% 15.28/10.50 tff(13676,plain,
% 15.28/10.50 ((~(v138(constB3) <=> (~((~v132(constB3)) | (~v139(constB3)))))) | (~v138(constB3)) | (~((~v132(constB3)) | (~v139(constB3))))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13677,plain,
% 15.28/10.50 (~v138(constB3)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13676, 13675, 13673])).
% 15.28/10.50 tff(13678,plain,
% 15.28/10.50 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB3) <=> (~((~v143(constB3)) | (~v144(constB3)))))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(13679,plain,
% 15.28/10.50 (v142(constB3) <=> (~((~v143(constB3)) | (~v144(constB3))))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13678, 596])).
% 15.28/10.50 tff(13680,plain,
% 15.28/10.50 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB3) <=> (~((~v141(constB3)) | (~v145(constB3)))))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(13681,plain,
% 15.28/10.50 (v144(constB3) <=> (~((~v141(constB3)) | (~v145(constB3))))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13680, 608])).
% 15.28/10.50 tff(13682,plain,
% 15.28/10.50 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB3) <=> (~(v84(constB3, 1) | v84(constB3, 2) | (~v84(constB3, 0)))))),
% 15.28/10.50 inference(quant_inst,[status(thm)],[])).
% 15.28/10.50 tff(13683,plain,
% 15.28/10.50 (v145(constB3) <=> (~(v84(constB3, 1) | v84(constB3, 2) | (~v84(constB3, 0))))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13682, 755])).
% 15.28/10.50 tff(13684,plain,
% 15.28/10.50 ((v84(constB3, 1) | v84(constB3, 2) | (~v84(constB3, 0))) | v84(constB3, 0)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13685,plain,
% 15.28/10.50 (v84(constB3, 1) | v84(constB3, 2) | (~v84(constB3, 0))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13684, 2549])).
% 15.28/10.50 tff(13686,plain,
% 15.28/10.50 ((~(v145(constB3) <=> (~(v84(constB3, 1) | v84(constB3, 2) | (~v84(constB3, 0)))))) | (~v145(constB3)) | (~(v84(constB3, 1) | v84(constB3, 2) | (~v84(constB3, 0))))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13687,plain,
% 15.28/10.50 (~v145(constB3)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13686, 13685, 13683])).
% 15.28/10.50 tff(13688,plain,
% 15.28/10.50 (((~v141(constB3)) | (~v145(constB3))) | v145(constB3)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13689,plain,
% 15.28/10.50 ((~v141(constB3)) | (~v145(constB3))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13688, 13687])).
% 15.28/10.50 tff(13690,plain,
% 15.28/10.50 ((~(v144(constB3) <=> (~((~v141(constB3)) | (~v145(constB3)))))) | (~v144(constB3)) | (~((~v141(constB3)) | (~v145(constB3))))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13691,plain,
% 15.28/10.50 (~v144(constB3)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13690, 13689, 13681])).
% 15.28/10.50 tff(13692,plain,
% 15.28/10.50 (((~v143(constB3)) | (~v144(constB3))) | v144(constB3)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13693,plain,
% 15.28/10.50 ((~v143(constB3)) | (~v144(constB3))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13692, 13691])).
% 15.28/10.50 tff(13694,plain,
% 15.28/10.50 ((~(v142(constB3) <=> (~((~v143(constB3)) | (~v144(constB3)))))) | (~v142(constB3)) | (~((~v143(constB3)) | (~v144(constB3))))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13695,plain,
% 15.28/10.50 (~v142(constB3)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13694, 13693, 13679])).
% 15.28/10.50 tff(13696,plain,
% 15.28/10.50 ((~(v138(constB3) | v142(constB3))) | v138(constB3) | v142(constB3)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13697,plain,
% 15.28/10.50 (~(v138(constB3) | v142(constB3))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13696, 13695, 13677])).
% 15.28/10.50 tff(13698,plain,
% 15.28/10.50 ((~(v135(constB3) <=> (v138(constB3) | v142(constB3)))) | (~v135(constB3)) | (v138(constB3) | v142(constB3))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13699,plain,
% 15.28/10.50 (~v135(constB3)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13698, 13697, 13666])).
% 15.28/10.50 tff(13700,plain,
% 15.28/10.50 ((~(v137(constB4) <=> v135(constB3))) | (~v137(constB4)) | v135(constB3)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13701,plain,
% 15.28/10.50 (~v137(constB4)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13700, 13699, 13664])).
% 15.28/10.50 tff(13702,plain,
% 15.28/10.50 ((~(v132(constB4) <=> v137(constB4))) | (~v132(constB4)) | v137(constB4)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13703,plain,
% 15.28/10.50 (~v132(constB4)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13702, 13701, 13660])).
% 15.28/10.50 tff(13704,plain,
% 15.28/10.50 (((~v132(constB4)) | (~v139(constB4))) | v132(constB4)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13705,plain,
% 15.28/10.50 ((~v132(constB4)) | (~v139(constB4))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13704, 13703])).
% 15.28/10.50 tff(13706,plain,
% 15.28/10.50 ((~(v138(constB4) <=> (~((~v132(constB4)) | (~v139(constB4)))))) | (~v138(constB4)) | (~((~v132(constB4)) | (~v139(constB4))))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13707,plain,
% 15.28/10.50 (~v138(constB4)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13706, 13705, 13658])).
% 15.28/10.50 tff(13708,plain,
% 15.28/10.50 ((~(v138(constB4) | v142(constB4))) | v138(constB4) | v142(constB4)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13709,plain,
% 15.28/10.50 (~(v138(constB4) | v142(constB4))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13708, 13707, 13651])).
% 15.28/10.50 tff(13710,plain,
% 15.28/10.50 ((~(v135(constB4) <=> (v138(constB4) | v142(constB4)))) | (~v135(constB4)) | (v138(constB4) | v142(constB4))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13711,plain,
% 15.28/10.50 (~v135(constB4)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13710, 13709, 13638])).
% 15.28/10.50 tff(13712,plain,
% 15.28/10.50 ((~(v137(constB5) <=> v135(constB4))) | (~v137(constB5)) | v135(constB4)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13713,plain,
% 15.28/10.50 (~v137(constB5)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13712, 13711, 13636])).
% 15.28/10.50 tff(13714,plain,
% 15.28/10.50 ((~(v132(constB5) <=> v137(constB5))) | (~v132(constB5)) | v137(constB5)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13715,plain,
% 15.28/10.50 (~v132(constB5)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13714, 13713, 13632])).
% 15.28/10.50 tff(13716,plain,
% 15.28/10.50 (((~v132(constB5)) | (~v155(constB5))) | v132(constB5)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13717,plain,
% 15.28/10.50 ((~v132(constB5)) | (~v155(constB5))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13716, 13715])).
% 15.28/10.50 tff(13718,plain,
% 15.28/10.50 ((~(v154(constB5) <=> (~((~v132(constB5)) | (~v155(constB5)))))) | (~v154(constB5)) | (~((~v132(constB5)) | (~v155(constB5))))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13719,plain,
% 15.28/10.50 (~v154(constB5)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13718, 13717, 13630])).
% 15.28/10.50 tff(13720,plain,
% 15.28/10.50 ((~(v153(constB5) | v154(constB5))) | v153(constB5) | v154(constB5)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13721,plain,
% 15.28/10.50 (~(v153(constB5) | v154(constB5))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13720, 13719, 13623])).
% 15.28/10.50 tff(13722,plain,
% 15.28/10.50 ((~(v150(constB5) <=> (v153(constB5) | v154(constB5)))) | (~v150(constB5)) | (v153(constB5) | v154(constB5))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13723,plain,
% 15.28/10.50 (~v150(constB5)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13722, 13721, 13612])).
% 15.28/10.50 tff(13724,plain,
% 15.28/10.50 ((~(v152(constB6) <=> v150(constB5))) | (~v152(constB6)) | v150(constB5)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13725,plain,
% 15.28/10.50 (~v152(constB6)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13724, 13723, 13610])).
% 15.28/10.50 tff(13726,plain,
% 15.28/10.50 ((~(v130(constB6) <=> v152(constB6))) | (~v130(constB6)) | v152(constB6)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13727,plain,
% 15.28/10.50 (~v130(constB6)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13726, 13725, 13606])).
% 15.28/10.50 tff(13728,plain,
% 15.28/10.50 (((~v130(constB6)) | (~v139(constB6))) | v130(constB6)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13729,plain,
% 15.28/10.50 ((~v130(constB6)) | (~v139(constB6))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13728, 13727])).
% 15.28/10.50 tff(13730,plain,
% 15.28/10.50 ((~(v153(constB6) <=> (~((~v130(constB6)) | (~v139(constB6)))))) | (~v153(constB6)) | (~((~v130(constB6)) | (~v139(constB6))))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13731,plain,
% 15.28/10.50 (~v153(constB6)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13730, 13729, 13604])).
% 15.28/10.50 tff(13732,plain,
% 15.28/10.50 ((~(v153(constB6) | v154(constB6))) | v153(constB6) | v154(constB6)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13733,plain,
% 15.28/10.50 (~(v153(constB6) | v154(constB6))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13732, 13731, 13597])).
% 15.28/10.50 tff(13734,plain,
% 15.28/10.50 ((~(v150(constB6) <=> (v153(constB6) | v154(constB6)))) | (~v150(constB6)) | (v153(constB6) | v154(constB6))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13735,plain,
% 15.28/10.50 (~v150(constB6)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13734, 13733, 13586])).
% 15.28/10.50 tff(13736,plain,
% 15.28/10.50 ((~(v152(constB7) <=> v150(constB6))) | (~v152(constB7)) | v150(constB6)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13737,plain,
% 15.28/10.50 (~v152(constB7)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13736, 13735, 13584])).
% 15.28/10.50 tff(13738,plain,
% 15.28/10.50 ((~(v130(constB7) <=> v152(constB7))) | (~v130(constB7)) | v152(constB7)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13739,plain,
% 15.28/10.50 (~v130(constB7)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13738, 13737, 13580])).
% 15.28/10.50 tff(13740,plain,
% 15.28/10.50 (((~v130(constB7)) | (~v155(constB7))) | v130(constB7)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13741,plain,
% 15.28/10.50 ((~v130(constB7)) | (~v155(constB7))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13740, 13739])).
% 15.28/10.50 tff(13742,plain,
% 15.28/10.50 ((~(v164(constB7) <=> (~((~v130(constB7)) | (~v155(constB7)))))) | (~v164(constB7)) | (~((~v130(constB7)) | (~v155(constB7))))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13743,plain,
% 15.28/10.50 (~v164(constB7)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13742, 13741, 13578])).
% 15.28/10.50 tff(13744,plain,
% 15.28/10.50 ((~(v163(constB7) | v164(constB7))) | v163(constB7) | v164(constB7)),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13745,plain,
% 15.28/10.50 (~(v163(constB7) | v164(constB7))),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13744, 13743, 13571])).
% 15.28/10.50 tff(13746,plain,
% 15.28/10.50 ((~(v160(constB7) <=> (v163(constB7) | v164(constB7)))) | (~v160(constB7)) | (v163(constB7) | v164(constB7))),
% 15.28/10.50 inference(tautology,[status(thm)],[])).
% 15.28/10.50 tff(13747,plain,
% 15.28/10.50 (~v160(constB7)),
% 15.28/10.50 inference(unit_resolution,[status(thm)],[13746, 13745, 12872])).
% 15.28/10.51 tff(13748,plain,
% 15.28/10.51 ((~(v162(constB8) <=> v160(constB7))) | (~v162(constB8)) | v160(constB7)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(13749,plain,
% 15.28/10.51 (~v162(constB8)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13748, 13747, 12870])).
% 15.28/10.51 tff(13750,plain,
% 15.28/10.51 ((~(v128(constB8) <=> v162(constB8))) | (~v128(constB8)) | v162(constB8)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(13751,plain,
% 15.28/10.51 (~v128(constB8)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13750, 13749, 12866])).
% 15.28/10.51 tff(13752,plain,
% 15.28/10.51 (((~v128(constB8)) | (~v139(constB8))) | v128(constB8)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(13753,plain,
% 15.28/10.51 ((~v128(constB8)) | (~v139(constB8))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13752, 13751])).
% 15.28/10.51 tff(13754,plain,
% 15.28/10.51 ((~(v163(constB8) <=> (~((~v128(constB8)) | (~v139(constB8)))))) | (~v163(constB8)) | (~((~v128(constB8)) | (~v139(constB8))))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(13755,plain,
% 15.28/10.51 (~v163(constB8)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13754, 13753, 12864])).
% 15.28/10.51 tff(13756,plain,
% 15.28/10.51 ((~(v163(constB8) | v164(constB8))) | v163(constB8) | v164(constB8)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(13757,plain,
% 15.28/10.51 (~(v163(constB8) | v164(constB8))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13756, 13755, 12857])).
% 15.28/10.51 tff(13758,plain,
% 15.28/10.51 ((~(v160(constB8) <=> (v163(constB8) | v164(constB8)))) | (~v160(constB8)) | (v163(constB8) | v164(constB8))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(13759,plain,
% 15.28/10.51 (~v160(constB8)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13758, 13757, 12822])).
% 15.28/10.51 tff(13760,plain,
% 15.28/10.51 ((~(v162(constB9) <=> v160(constB8))) | (~v162(constB9)) | v160(constB8)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(13761,plain,
% 15.28/10.51 (~v162(constB9)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13760, 13759, 12820])).
% 15.28/10.51 tff(13762,plain,
% 15.28/10.51 ($false),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13761, 12816])).
% 15.28/10.51 tff(13763,plain,(~(constB9 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.28/10.51 tff(13764,assumption,(constB97 = VarCurr!0), introduced(assumption)).
% 15.28/10.51 tff(13765,plain,
% 15.28/10.51 (v162(constB97) <=> v162(VarCurr!0)),
% 15.28/10.51 inference(monotonicity,[status(thm)],[13764])).
% 15.28/10.51 tff(13766,plain,
% 15.28/10.51 (v162(VarCurr!0) <=> v162(constB97)),
% 15.28/10.51 inference(symmetry,[status(thm)],[13765])).
% 15.28/10.51 tff(13767,plain,
% 15.28/10.51 (v162(constB97)),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[59, 13766])).
% 15.28/10.51 tff(13768,plain,
% 15.28/10.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB96, constB97)) | (v162(constB97) <=> v160(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB96, constB97)) | (v162(constB97) <=> v160(constB96)))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(13769,plain,
% 15.28/10.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB96, constB97)) | (v162(constB97) <=> v160(constB96)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(13770,plain,
% 15.28/10.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB96, constB97)) | (v162(constB97) <=> v160(constB96))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[13769, 13768])).
% 15.28/10.51 tff(13771,plain,
% 15.28/10.51 (v162(constB97) <=> v160(constB96)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13770, 6448, 70])).
% 15.28/10.51 tff(13772,plain,
% 15.28/10.51 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB96) <=> (v163(constB96) | v164(constB96)))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(13773,plain,
% 15.28/10.51 (v160(constB96) <=> (v163(constB96) | v164(constB96))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13772, 84])).
% 15.28/10.51 tff(13774,plain,
% 15.28/10.51 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB96) <=> (~((~v130(constB96)) | (~v155(constB96)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB96) <=> (~((~v130(constB96)) | (~v155(constB96))))))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(13775,plain,
% 15.28/10.51 ((v164(constB96) <=> (~((~v155(constB96)) | (~v130(constB96))))) <=> (v164(constB96) <=> (~((~v130(constB96)) | (~v155(constB96)))))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(13776,plain,
% 15.28/10.51 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB96) <=> (~((~v155(constB96)) | (~v130(constB96)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB96) <=> (~((~v130(constB96)) | (~v155(constB96))))))),
% 15.28/10.51 inference(monotonicity,[status(thm)],[13775])).
% 15.28/10.51 tff(13777,plain,
% 15.28/10.51 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB96) <=> (~((~v155(constB96)) | (~v130(constB96)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB96) <=> (~((~v130(constB96)) | (~v155(constB96))))))),
% 15.28/10.51 inference(transitivity,[status(thm)],[13776, 13774])).
% 15.28/10.51 tff(13778,plain,
% 15.28/10.51 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB96) <=> (~((~v155(constB96)) | (~v130(constB96)))))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(13779,plain,
% 15.28/10.51 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB96) <=> (~((~v130(constB96)) | (~v155(constB96)))))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[13778, 13777])).
% 15.28/10.51 tff(13780,plain,
% 15.28/10.51 (v164(constB96) <=> (~((~v130(constB96)) | (~v155(constB96))))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13779, 96])).
% 15.28/10.51 tff(13781,plain,
% 15.28/10.51 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB96) <=> (~((~v141(constB96)) | (~v143(constB96)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB96) <=> (~((~v141(constB96)) | (~v143(constB96))))))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(13782,plain,
% 15.28/10.51 ((v155(constB96) <=> (~((~v143(constB96)) | (~v141(constB96))))) <=> (v155(constB96) <=> (~((~v141(constB96)) | (~v143(constB96)))))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(13783,plain,
% 15.28/10.51 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB96) <=> (~((~v143(constB96)) | (~v141(constB96)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB96) <=> (~((~v141(constB96)) | (~v143(constB96))))))),
% 15.28/10.51 inference(monotonicity,[status(thm)],[13782])).
% 15.28/10.51 tff(13784,plain,
% 15.28/10.51 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB96) <=> (~((~v143(constB96)) | (~v141(constB96)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB96) <=> (~((~v141(constB96)) | (~v143(constB96))))))),
% 15.28/10.51 inference(transitivity,[status(thm)],[13783, 13781])).
% 15.28/10.51 tff(13785,plain,
% 15.28/10.51 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB96) <=> (~((~v143(constB96)) | (~v141(constB96)))))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(13786,plain,
% 15.28/10.51 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB96) <=> (~((~v141(constB96)) | (~v143(constB96)))))),
% 15.28/10.51 inference(modus_ponens,[status(thm)],[13785, 13784])).
% 15.28/10.51 tff(13787,plain,
% 15.28/10.51 (v155(constB96) <=> (~((~v141(constB96)) | (~v143(constB96))))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13786, 113])).
% 15.28/10.51 tff(13788,plain,
% 15.28/10.51 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB96) <=> (~((~v39(constB96)) | (~v9(constB96)))))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(13789,plain,
% 15.28/10.51 (v141(constB96) <=> (~((~v39(constB96)) | (~v9(constB96))))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13788, 130])).
% 15.28/10.51 tff(13790,plain,
% 15.28/10.51 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB96)) <=> v1(constB96))),
% 15.28/10.51 inference(quant_inst,[status(thm)],[])).
% 15.28/10.51 tff(13791,plain,
% 15.28/10.51 ((~v39(constB96)) <=> v1(constB96)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13790, 139])).
% 15.28/10.51 tff(13792,plain,
% 15.28/10.51 ((~((~v39(constB96)) <=> v1(constB96))) | (~v39(constB96)) | (~v1(constB96))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(13793,plain,
% 15.28/10.51 ((~((~v39(constB96)) <=> v1(constB96))) | (~v39(constB96))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13792, 12357])).
% 15.28/10.51 tff(13794,plain,
% 15.28/10.51 (~v39(constB96)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13793, 13791])).
% 15.28/10.51 tff(13795,plain,
% 15.28/10.51 (((~v39(constB96)) | (~v9(constB96))) | v39(constB96)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(13796,plain,
% 15.28/10.51 ((~v39(constB96)) | (~v9(constB96))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13795, 13794])).
% 15.28/10.51 tff(13797,plain,
% 15.28/10.51 ((~(v141(constB96) <=> (~((~v39(constB96)) | (~v9(constB96)))))) | (~v141(constB96)) | (~((~v39(constB96)) | (~v9(constB96))))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(13798,plain,
% 15.28/10.51 ((~(v141(constB96) <=> (~((~v39(constB96)) | (~v9(constB96)))))) | (~v141(constB96))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13797, 13796])).
% 15.28/10.51 tff(13799,plain,
% 15.28/10.51 (~v141(constB96)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13798, 13789])).
% 15.28/10.51 tff(13800,plain,
% 15.28/10.51 (((~v141(constB96)) | (~v143(constB96))) | v141(constB96)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(13801,plain,
% 15.28/10.51 ((~v141(constB96)) | (~v143(constB96))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13800, 13799])).
% 15.28/10.51 tff(13802,plain,
% 15.28/10.51 ((~(v155(constB96) <=> (~((~v141(constB96)) | (~v143(constB96)))))) | (~v155(constB96)) | (~((~v141(constB96)) | (~v143(constB96))))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(13803,plain,
% 15.28/10.51 ((~(v155(constB96) <=> (~((~v141(constB96)) | (~v143(constB96)))))) | (~v155(constB96))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13802, 13801])).
% 15.28/10.51 tff(13804,plain,
% 15.28/10.51 (~v155(constB96)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13803, 13787])).
% 15.28/10.51 tff(13805,plain,
% 15.28/10.51 (((~v130(constB96)) | (~v155(constB96))) | v155(constB96)),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(13806,plain,
% 15.28/10.51 ((~v130(constB96)) | (~v155(constB96))),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13805, 13804])).
% 15.28/10.51 tff(13807,plain,
% 15.28/10.51 ((~(v164(constB96) <=> (~((~v130(constB96)) | (~v155(constB96)))))) | (~v164(constB96)) | (~((~v130(constB96)) | (~v155(constB96))))),
% 15.28/10.51 inference(tautology,[status(thm)],[])).
% 15.28/10.51 tff(13808,plain,
% 15.28/10.51 (~v164(constB96)),
% 15.28/10.51 inference(unit_resolution,[status(thm)],[13807, 13806, 13780])).
% 15.28/10.51 tff(13809,plain,
% 15.28/10.51 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB96) <=> (~((~v128(constB96)) | (~v139(constB96)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB96) <=> (~((~v128(constB96)) | (~v139(constB96))))))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(13810,plain,
% 15.28/10.51 ((v163(constB96) <=> (~((~v139(constB96)) | (~v128(constB96))))) <=> (v163(constB96) <=> (~((~v128(constB96)) | (~v139(constB96)))))),
% 15.28/10.51 inference(rewrite,[status(thm)],[])).
% 15.28/10.51 tff(13811,plain,
% 15.28/10.51 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB96) <=> (~((~v139(constB96)) | (~v128(constB96)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB96) <=> (~((~v128(constB96)) | (~v139(constB96))))))),
% 15.28/10.51 inference(monotonicity,[status(thm)],[13810])).
% 15.28/10.51 tff(13812,plain,
% 15.28/10.51 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB96) <=> (~((~v139(constB96)) | (~v128(constB96)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB96) <=> (~((~v128(constB96)) | (~v139(constB96))))))),
% 15.28/10.51 inference(transitivity,[status(thm)],[13811, 13809])).
% 15.28/10.51 tff(13813,plain,
% 15.28/10.51 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB96) <=> (~((~v139(constB96)) | (~v128(constB96)))))),
% 15.38/10.51 inference(quant_inst,[status(thm)],[])).
% 15.38/10.51 tff(13814,plain,
% 15.38/10.51 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB96) <=> (~((~v128(constB96)) | (~v139(constB96)))))),
% 15.38/10.51 inference(modus_ponens,[status(thm)],[13813, 13812])).
% 15.38/10.51 tff(13815,plain,
% 15.38/10.51 (v163(constB96) <=> (~((~v128(constB96)) | (~v139(constB96))))),
% 15.38/10.51 inference(unit_resolution,[status(thm)],[13814, 171])).
% 15.38/10.51 tff(13816,plain,
% 15.38/10.51 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB96) <=> v162(constB96))),
% 15.38/10.51 inference(quant_inst,[status(thm)],[])).
% 15.38/10.51 tff(13817,plain,
% 15.38/10.51 (v128(constB96) <=> v162(constB96)),
% 15.38/10.51 inference(unit_resolution,[status(thm)],[13816, 13])).
% 15.38/10.51 tff(13818,plain,
% 15.38/10.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB95, constB96)) | (v162(constB96) <=> v160(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB95, constB96)) | (v162(constB96) <=> v160(constB95)))),
% 15.38/10.51 inference(rewrite,[status(thm)],[])).
% 15.38/10.51 tff(13819,plain,
% 15.38/10.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB95, constB96)) | (v162(constB96) <=> v160(constB95)))),
% 15.38/10.51 inference(quant_inst,[status(thm)],[])).
% 15.38/10.51 tff(13820,plain,
% 15.38/10.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB95, constB96)) | (v162(constB96) <=> v160(constB95))),
% 15.38/10.51 inference(modus_ponens,[status(thm)],[13819, 13818])).
% 15.38/10.51 tff(13821,plain,
% 15.38/10.51 (v162(constB96) <=> v160(constB95)),
% 15.38/10.51 inference(unit_resolution,[status(thm)],[13820, 6484, 70])).
% 15.38/10.51 tff(13822,plain,
% 15.38/10.51 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB95) <=> (v163(constB95) | v164(constB95)))),
% 15.38/10.51 inference(quant_inst,[status(thm)],[])).
% 15.38/10.51 tff(13823,plain,
% 15.38/10.51 (v160(constB95) <=> (v163(constB95) | v164(constB95))),
% 15.38/10.51 inference(unit_resolution,[status(thm)],[13822, 84])).
% 15.38/10.51 tff(13824,plain,
% 15.38/10.51 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB95) <=> (~((~v128(constB95)) | (~v139(constB95)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB95) <=> (~((~v128(constB95)) | (~v139(constB95))))))),
% 15.38/10.51 inference(rewrite,[status(thm)],[])).
% 15.38/10.51 tff(13825,plain,
% 15.38/10.51 ((v163(constB95) <=> (~((~v139(constB95)) | (~v128(constB95))))) <=> (v163(constB95) <=> (~((~v128(constB95)) | (~v139(constB95)))))),
% 15.38/10.51 inference(rewrite,[status(thm)],[])).
% 15.38/10.51 tff(13826,plain,
% 15.38/10.51 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB95) <=> (~((~v139(constB95)) | (~v128(constB95)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB95) <=> (~((~v128(constB95)) | (~v139(constB95))))))),
% 15.38/10.51 inference(monotonicity,[status(thm)],[13825])).
% 15.38/10.51 tff(13827,plain,
% 15.38/10.51 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB95) <=> (~((~v139(constB95)) | (~v128(constB95)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB95) <=> (~((~v128(constB95)) | (~v139(constB95))))))),
% 15.38/10.51 inference(transitivity,[status(thm)],[13826, 13824])).
% 15.38/10.51 tff(13828,plain,
% 15.38/10.51 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB95) <=> (~((~v139(constB95)) | (~v128(constB95)))))),
% 15.38/10.51 inference(quant_inst,[status(thm)],[])).
% 15.38/10.51 tff(13829,plain,
% 15.38/10.51 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB95) <=> (~((~v128(constB95)) | (~v139(constB95)))))),
% 15.38/10.51 inference(modus_ponens,[status(thm)],[13828, 13827])).
% 15.38/10.51 tff(13830,plain,
% 15.38/10.51 (v163(constB95) <=> (~((~v128(constB95)) | (~v139(constB95))))),
% 15.38/10.51 inference(unit_resolution,[status(thm)],[13829, 171])).
% 15.38/10.51 tff(13831,plain,
% 15.38/10.51 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB95)) <=> v140(constB95))),
% 15.38/10.51 inference(quant_inst,[status(thm)],[])).
% 15.38/10.51 tff(13832,plain,
% 15.38/10.51 ((~v139(constB95)) <=> v140(constB95)),
% 15.38/10.51 inference(unit_resolution,[status(thm)],[13831, 203])).
% 15.38/10.51 tff(13833,plain,
% 15.38/10.51 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB95) <=> (v141(constB95) | v26(constB95)))),
% 15.38/10.51 inference(quant_inst,[status(thm)],[])).
% 15.38/10.51 tff(13834,plain,
% 15.38/10.51 (v140(constB95) <=> (v141(constB95) | v26(constB95))),
% 15.38/10.51 inference(unit_resolution,[status(thm)],[13833, 212])).
% 15.38/10.51 tff(13835,plain,
% 15.38/10.51 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB95) <=> (~((~v39(constB95)) | (~v9(constB95)))))),
% 15.38/10.51 inference(quant_inst,[status(thm)],[])).
% 15.38/10.51 tff(13836,plain,
% 15.38/10.51 (v141(constB95) <=> (~((~v39(constB95)) | (~v9(constB95))))),
% 15.38/10.51 inference(unit_resolution,[status(thm)],[13835, 130])).
% 15.38/10.51 tff(13837,plain,
% 15.38/10.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95)))),
% 15.38/10.51 inference(rewrite,[status(thm)],[])).
% 15.38/10.51 tff(13838,plain,
% 15.38/10.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95)))),
% 15.38/10.51 inference(quant_inst,[status(thm)],[])).
% 15.38/10.51 tff(13839,plain,
% 15.38/10.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95))),
% 15.38/10.51 inference(modus_ponens,[status(thm)],[13838, 13837])).
% 15.38/10.51 tff(13840,plain,
% 15.38/10.51 (v13(constB96) <=> v9(constB95)),
% 15.38/10.51 inference(unit_resolution,[status(thm)],[13839, 6484, 226])).
% 15.38/10.51 tff(13841,plain,
% 15.38/10.51 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB96) <=> v13(constB96))),
% 15.38/10.51 inference(quant_inst,[status(thm)],[])).
% 15.38/10.51 tff(13842,plain,
% 15.38/10.51 (v6(constB96) <=> v13(constB96)),
% 15.38/10.51 inference(unit_resolution,[status(thm)],[13841, 240])).
% 15.38/10.51 tff(13843,plain,
% 15.38/10.51 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB96)) <=> v6(constB96))),
% 15.38/10.51 inference(quant_inst,[status(thm)],[])).
% 15.38/10.51 tff(13844,plain,
% 15.38/10.51 ((~v21(constB96)) <=> v6(constB96)),
% 15.38/10.51 inference(unit_resolution,[status(thm)],[13843, 249])).
% 15.38/10.51 tff(13845,plain,
% 15.38/10.51 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB96) <=> (v20(constB96) | v21(constB96)))),
% 15.38/10.51 inference(quant_inst,[status(thm)],[])).
% 15.38/10.51 tff(13846,plain,
% 15.38/10.51 (v19(constB96) <=> (v20(constB96) | v21(constB96))),
% 15.38/10.51 inference(unit_resolution,[status(thm)],[13845, 258])).
% 15.38/10.51 tff(13847,plain,
% 15.38/10.51 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB96) <=> (~((~v19(constB96)) | (~v22(constB96)))))),
% 15.38/10.51 inference(quant_inst,[status(thm)],[])).
% 15.38/10.51 tff(13848,plain,
% 15.38/10.51 (v18(constB96) <=> (~((~v19(constB96)) | (~v22(constB96))))),
% 15.38/10.51 inference(unit_resolution,[status(thm)],[13847, 270])).
% 15.38/10.51 tff(13849,plain,
% 15.38/10.51 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB96)) <=> v18(constB96))),
% 15.38/10.51 inference(quant_inst,[status(thm)],[])).
% 15.38/10.51 tff(13850,plain,
% 15.38/10.51 ((~v4(constB96)) <=> v18(constB96)),
% 15.38/10.51 inference(unit_resolution,[status(thm)],[13849, 279])).
% 15.38/10.51 tff(13851,plain,
% 15.38/10.51 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB96)),
% 15.38/10.51 inference(quant_inst,[status(thm)],[])).
% 15.38/10.51 tff(13852,plain,
% 15.38/10.51 (v4(constB96)),
% 15.38/10.51 inference(unit_resolution,[status(thm)],[13851, 288])).
% 15.38/10.51 tff(13853,plain,
% 15.38/10.51 ((~((~v4(constB96)) <=> v18(constB96))) | (~v4(constB96)) | (~v18(constB96))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13854,plain,
% 15.38/10.52 (~v18(constB96)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13853, 13852, 13850])).
% 15.38/10.52 tff(13855,plain,
% 15.38/10.52 ((~(v18(constB96) <=> (~((~v19(constB96)) | (~v22(constB96)))))) | v18(constB96) | ((~v19(constB96)) | (~v22(constB96)))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13856,plain,
% 15.38/10.52 ((~v19(constB96)) | (~v22(constB96))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13855, 13854, 13848])).
% 15.38/10.52 tff(13857,plain,
% 15.38/10.52 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB96) <=> (v1(constB96) | v6(constB96)))),
% 15.38/10.52 inference(quant_inst,[status(thm)],[])).
% 15.38/10.52 tff(13858,plain,
% 15.38/10.52 (v22(constB96) <=> (v1(constB96) | v6(constB96))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13857, 301])).
% 15.38/10.52 tff(13859,plain,
% 15.38/10.52 ((v1(constB96) | v6(constB96)) | (~v1(constB96))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13860,plain,
% 15.38/10.52 (v1(constB96) | v6(constB96)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13859, 12357])).
% 15.38/10.52 tff(13861,plain,
% 15.38/10.52 ((~(v22(constB96) <=> (v1(constB96) | v6(constB96)))) | v22(constB96) | (~(v1(constB96) | v6(constB96)))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13862,plain,
% 15.38/10.52 ((~(v22(constB96) <=> (v1(constB96) | v6(constB96)))) | v22(constB96)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13861, 13860])).
% 15.38/10.52 tff(13863,plain,
% 15.38/10.52 (v22(constB96)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13862, 13858])).
% 15.38/10.52 tff(13864,plain,
% 15.38/10.52 ((~((~v19(constB96)) | (~v22(constB96)))) | (~v19(constB96)) | (~v22(constB96))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13865,plain,
% 15.38/10.52 ((~((~v19(constB96)) | (~v22(constB96)))) | (~v19(constB96))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13864, 13863])).
% 15.38/10.52 tff(13866,plain,
% 15.38/10.52 (~v19(constB96)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13865, 13856])).
% 15.38/10.52 tff(13867,plain,
% 15.38/10.52 ((~(v19(constB96) <=> (v20(constB96) | v21(constB96)))) | v19(constB96) | (~(v20(constB96) | v21(constB96)))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13868,plain,
% 15.38/10.52 (~(v20(constB96) | v21(constB96))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13867, 13866, 13846])).
% 15.38/10.52 tff(13869,plain,
% 15.38/10.52 ((v20(constB96) | v21(constB96)) | (~v21(constB96))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13870,plain,
% 15.38/10.52 (~v21(constB96)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13869, 13868])).
% 15.38/10.52 tff(13871,plain,
% 15.38/10.52 ((~((~v21(constB96)) <=> v6(constB96))) | v21(constB96) | v6(constB96)),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13872,plain,
% 15.38/10.52 (v6(constB96)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13871, 13870, 13844])).
% 15.38/10.52 tff(13873,plain,
% 15.38/10.52 ((~(v6(constB96) <=> v13(constB96))) | (~v6(constB96)) | v13(constB96)),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13874,plain,
% 15.38/10.52 (v13(constB96)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13873, 13872, 13842])).
% 15.38/10.52 tff(13875,plain,
% 15.38/10.52 ((~(v13(constB96) <=> v9(constB95))) | (~v13(constB96)) | v9(constB95)),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13876,plain,
% 15.38/10.52 (v9(constB95)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13875, 13874, 13840])).
% 15.38/10.52 tff(13877,plain,
% 15.38/10.52 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB95)) <=> v1(constB95))),
% 15.38/10.52 inference(quant_inst,[status(thm)],[])).
% 15.38/10.52 tff(13878,plain,
% 15.38/10.52 ((~v39(constB95)) <=> v1(constB95)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13877, 139])).
% 15.38/10.52 tff(13879,plain,
% 15.38/10.52 ((~((~v39(constB95)) <=> v1(constB95))) | v39(constB95) | v1(constB95)),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13880,plain,
% 15.38/10.52 ((~((~v39(constB95)) <=> v1(constB95))) | v39(constB95)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13879, 6523])).
% 15.38/10.52 tff(13881,plain,
% 15.38/10.52 (v39(constB95)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13880, 13878])).
% 15.38/10.52 tff(13882,plain,
% 15.38/10.52 ((~((~v39(constB95)) | (~v9(constB95)))) | (~v39(constB95)) | (~v9(constB95))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13883,plain,
% 15.38/10.52 ((~((~v39(constB95)) | (~v9(constB95)))) | (~v9(constB95))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13882, 13881])).
% 15.38/10.52 tff(13884,plain,
% 15.38/10.52 (~((~v39(constB95)) | (~v9(constB95)))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13883, 13876])).
% 15.38/10.52 tff(13885,plain,
% 15.38/10.52 ((~(v141(constB95) <=> (~((~v39(constB95)) | (~v9(constB95)))))) | v141(constB95) | ((~v39(constB95)) | (~v9(constB95)))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13886,plain,
% 15.38/10.52 (v141(constB95)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13885, 13884, 13836])).
% 15.38/10.52 tff(13887,plain,
% 15.38/10.52 ((v141(constB95) | v26(constB95)) | (~v141(constB95))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13888,plain,
% 15.38/10.52 (v141(constB95) | v26(constB95)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13887, 13886])).
% 15.38/10.52 tff(13889,plain,
% 15.38/10.52 ((~(v140(constB95) <=> (v141(constB95) | v26(constB95)))) | v140(constB95) | (~(v141(constB95) | v26(constB95)))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13890,plain,
% 15.38/10.52 (v140(constB95)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13889, 13888, 13834])).
% 15.38/10.52 tff(13891,plain,
% 15.38/10.52 ((~((~v139(constB95)) <=> v140(constB95))) | (~v139(constB95)) | (~v140(constB95))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13892,plain,
% 15.38/10.52 (~v139(constB95)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13891, 13890, 13832])).
% 15.38/10.52 tff(13893,plain,
% 15.38/10.52 (((~v128(constB95)) | (~v139(constB95))) | v139(constB95)),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13894,plain,
% 15.38/10.52 ((~v128(constB95)) | (~v139(constB95))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13893, 13892])).
% 15.38/10.52 tff(13895,plain,
% 15.38/10.52 ((~(v163(constB95) <=> (~((~v128(constB95)) | (~v139(constB95)))))) | (~v163(constB95)) | (~((~v128(constB95)) | (~v139(constB95))))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13896,plain,
% 15.38/10.52 (~v163(constB95)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13895, 13894, 13830])).
% 15.38/10.52 tff(13897,plain,
% 15.38/10.52 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB95) <=> (~((~v130(constB95)) | (~v155(constB95)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB95) <=> (~((~v130(constB95)) | (~v155(constB95))))))),
% 15.38/10.52 inference(rewrite,[status(thm)],[])).
% 15.38/10.52 tff(13898,plain,
% 15.38/10.52 ((v164(constB95) <=> (~((~v155(constB95)) | (~v130(constB95))))) <=> (v164(constB95) <=> (~((~v130(constB95)) | (~v155(constB95)))))),
% 15.38/10.52 inference(rewrite,[status(thm)],[])).
% 15.38/10.52 tff(13899,plain,
% 15.38/10.52 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB95) <=> (~((~v155(constB95)) | (~v130(constB95)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB95) <=> (~((~v130(constB95)) | (~v155(constB95))))))),
% 15.38/10.52 inference(monotonicity,[status(thm)],[13898])).
% 15.38/10.52 tff(13900,plain,
% 15.38/10.52 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB95) <=> (~((~v155(constB95)) | (~v130(constB95)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB95) <=> (~((~v130(constB95)) | (~v155(constB95))))))),
% 15.38/10.52 inference(transitivity,[status(thm)],[13899, 13897])).
% 15.38/10.52 tff(13901,plain,
% 15.38/10.52 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB95) <=> (~((~v155(constB95)) | (~v130(constB95)))))),
% 15.38/10.52 inference(quant_inst,[status(thm)],[])).
% 15.38/10.52 tff(13902,plain,
% 15.38/10.52 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB95) <=> (~((~v130(constB95)) | (~v155(constB95)))))),
% 15.38/10.52 inference(modus_ponens,[status(thm)],[13901, 13900])).
% 15.38/10.52 tff(13903,plain,
% 15.38/10.52 (v164(constB95) <=> (~((~v130(constB95)) | (~v155(constB95))))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13902, 96])).
% 15.38/10.52 tff(13904,plain,
% 15.38/10.52 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB95) <=> v152(constB95))),
% 15.38/10.52 inference(quant_inst,[status(thm)],[])).
% 15.38/10.52 tff(13905,plain,
% 15.38/10.52 (v130(constB95) <=> v152(constB95)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13904, 361])).
% 15.38/10.52 tff(13906,plain,
% 15.38/10.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB94, constB95)) | (v152(constB95) <=> v150(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB94, constB95)) | (v152(constB95) <=> v150(constB94)))),
% 15.38/10.52 inference(rewrite,[status(thm)],[])).
% 15.38/10.52 tff(13907,plain,
% 15.38/10.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB94, constB95)) | (v152(constB95) <=> v150(constB94)))),
% 15.38/10.52 inference(quant_inst,[status(thm)],[])).
% 15.38/10.52 tff(13908,plain,
% 15.38/10.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB94, constB95)) | (v152(constB95) <=> v150(constB94))),
% 15.38/10.52 inference(modus_ponens,[status(thm)],[13907, 13906])).
% 15.38/10.52 tff(13909,plain,
% 15.38/10.52 (v152(constB95) <=> v150(constB94)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13908, 6509, 373])).
% 15.38/10.52 tff(13910,plain,
% 15.38/10.52 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB94) <=> (v153(constB94) | v154(constB94)))),
% 15.38/10.52 inference(quant_inst,[status(thm)],[])).
% 15.38/10.52 tff(13911,plain,
% 15.38/10.52 (v150(constB94) <=> (v153(constB94) | v154(constB94))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13910, 387])).
% 15.38/10.52 tff(13912,plain,
% 15.38/10.52 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB94) <=> (~((~v132(constB94)) | (~v155(constB94)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB94) <=> (~((~v132(constB94)) | (~v155(constB94))))))),
% 15.38/10.52 inference(rewrite,[status(thm)],[])).
% 15.38/10.52 tff(13913,plain,
% 15.38/10.52 ((v154(constB94) <=> (~((~v155(constB94)) | (~v132(constB94))))) <=> (v154(constB94) <=> (~((~v132(constB94)) | (~v155(constB94)))))),
% 15.38/10.52 inference(rewrite,[status(thm)],[])).
% 15.38/10.52 tff(13914,plain,
% 15.38/10.52 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB94) <=> (~((~v155(constB94)) | (~v132(constB94)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB94) <=> (~((~v132(constB94)) | (~v155(constB94))))))),
% 15.38/10.52 inference(monotonicity,[status(thm)],[13913])).
% 15.38/10.52 tff(13915,plain,
% 15.38/10.52 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB94) <=> (~((~v155(constB94)) | (~v132(constB94)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB94) <=> (~((~v132(constB94)) | (~v155(constB94))))))),
% 15.38/10.52 inference(transitivity,[status(thm)],[13914, 13912])).
% 15.38/10.52 tff(13916,plain,
% 15.38/10.52 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB94) <=> (~((~v155(constB94)) | (~v132(constB94)))))),
% 15.38/10.52 inference(quant_inst,[status(thm)],[])).
% 15.38/10.52 tff(13917,plain,
% 15.38/10.52 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB94) <=> (~((~v132(constB94)) | (~v155(constB94)))))),
% 15.38/10.52 inference(modus_ponens,[status(thm)],[13916, 13915])).
% 15.38/10.52 tff(13918,plain,
% 15.38/10.52 (v154(constB94) <=> (~((~v132(constB94)) | (~v155(constB94))))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13917, 399])).
% 15.38/10.52 tff(13919,plain,
% 15.38/10.52 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB94) <=> (~((~v141(constB94)) | (~v143(constB94)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB94) <=> (~((~v141(constB94)) | (~v143(constB94))))))),
% 15.38/10.52 inference(rewrite,[status(thm)],[])).
% 15.38/10.52 tff(13920,plain,
% 15.38/10.52 ((v155(constB94) <=> (~((~v143(constB94)) | (~v141(constB94))))) <=> (v155(constB94) <=> (~((~v141(constB94)) | (~v143(constB94)))))),
% 15.38/10.52 inference(rewrite,[status(thm)],[])).
% 15.38/10.52 tff(13921,plain,
% 15.38/10.52 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB94) <=> (~((~v143(constB94)) | (~v141(constB94)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB94) <=> (~((~v141(constB94)) | (~v143(constB94))))))),
% 15.38/10.52 inference(monotonicity,[status(thm)],[13920])).
% 15.38/10.52 tff(13922,plain,
% 15.38/10.52 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB94) <=> (~((~v143(constB94)) | (~v141(constB94)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB94) <=> (~((~v141(constB94)) | (~v143(constB94))))))),
% 15.38/10.52 inference(transitivity,[status(thm)],[13921, 13919])).
% 15.38/10.52 tff(13923,plain,
% 15.38/10.52 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB94) <=> (~((~v143(constB94)) | (~v141(constB94)))))),
% 15.38/10.52 inference(quant_inst,[status(thm)],[])).
% 15.38/10.52 tff(13924,plain,
% 15.38/10.52 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB94) <=> (~((~v141(constB94)) | (~v143(constB94)))))),
% 15.38/10.52 inference(modus_ponens,[status(thm)],[13923, 13922])).
% 15.38/10.52 tff(13925,plain,
% 15.38/10.52 (v155(constB94) <=> (~((~v141(constB94)) | (~v143(constB94))))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13924, 113])).
% 15.38/10.52 tff(13926,plain,
% 15.38/10.52 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB94) <=> (~((~v39(constB94)) | (~v9(constB94)))))),
% 15.38/10.52 inference(quant_inst,[status(thm)],[])).
% 15.38/10.52 tff(13927,plain,
% 15.38/10.52 (v141(constB94) <=> (~((~v39(constB94)) | (~v9(constB94))))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13926, 130])).
% 15.38/10.52 tff(13928,plain,
% 15.38/10.52 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB94)) <=> v1(constB94))),
% 15.38/10.52 inference(quant_inst,[status(thm)],[])).
% 15.38/10.52 tff(13929,plain,
% 15.38/10.52 ((~v39(constB94)) <=> v1(constB94)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13928, 139])).
% 15.38/10.52 tff(13930,plain,
% 15.38/10.52 ((~((~v39(constB94)) <=> v1(constB94))) | (~v39(constB94)) | (~v1(constB94))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13931,plain,
% 15.38/10.52 ((~((~v39(constB94)) <=> v1(constB94))) | (~v39(constB94))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13930, 12163])).
% 15.38/10.52 tff(13932,plain,
% 15.38/10.52 (~v39(constB94)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13931, 13929])).
% 15.38/10.52 tff(13933,plain,
% 15.38/10.52 (((~v39(constB94)) | (~v9(constB94))) | v39(constB94)),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13934,plain,
% 15.38/10.52 ((~v39(constB94)) | (~v9(constB94))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13933, 13932])).
% 15.38/10.52 tff(13935,plain,
% 15.38/10.52 ((~(v141(constB94) <=> (~((~v39(constB94)) | (~v9(constB94)))))) | (~v141(constB94)) | (~((~v39(constB94)) | (~v9(constB94))))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13936,plain,
% 15.38/10.52 ((~(v141(constB94) <=> (~((~v39(constB94)) | (~v9(constB94)))))) | (~v141(constB94))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13935, 13934])).
% 15.38/10.52 tff(13937,plain,
% 15.38/10.52 (~v141(constB94)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13936, 13927])).
% 15.38/10.52 tff(13938,plain,
% 15.38/10.52 (((~v141(constB94)) | (~v143(constB94))) | v141(constB94)),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13939,plain,
% 15.38/10.52 ((~v141(constB94)) | (~v143(constB94))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13938, 13937])).
% 15.38/10.52 tff(13940,plain,
% 15.38/10.52 ((~(v155(constB94) <=> (~((~v141(constB94)) | (~v143(constB94)))))) | (~v155(constB94)) | (~((~v141(constB94)) | (~v143(constB94))))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13941,plain,
% 15.38/10.52 ((~(v155(constB94) <=> (~((~v141(constB94)) | (~v143(constB94)))))) | (~v155(constB94))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13940, 13939])).
% 15.38/10.52 tff(13942,plain,
% 15.38/10.52 (~v155(constB94)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13941, 13925])).
% 15.38/10.52 tff(13943,plain,
% 15.38/10.52 (((~v132(constB94)) | (~v155(constB94))) | v155(constB94)),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13944,plain,
% 15.38/10.52 ((~v132(constB94)) | (~v155(constB94))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13943, 13942])).
% 15.38/10.52 tff(13945,plain,
% 15.38/10.52 ((~(v154(constB94) <=> (~((~v132(constB94)) | (~v155(constB94)))))) | (~v154(constB94)) | (~((~v132(constB94)) | (~v155(constB94))))),
% 15.38/10.52 inference(tautology,[status(thm)],[])).
% 15.38/10.52 tff(13946,plain,
% 15.38/10.52 (~v154(constB94)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13945, 13944, 13918])).
% 15.38/10.52 tff(13947,plain,
% 15.38/10.52 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB94) <=> (~((~v130(constB94)) | (~v139(constB94)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB94) <=> (~((~v130(constB94)) | (~v139(constB94))))))),
% 15.38/10.52 inference(rewrite,[status(thm)],[])).
% 15.38/10.52 tff(13948,plain,
% 15.38/10.52 ((v153(constB94) <=> (~((~v139(constB94)) | (~v130(constB94))))) <=> (v153(constB94) <=> (~((~v130(constB94)) | (~v139(constB94)))))),
% 15.38/10.52 inference(rewrite,[status(thm)],[])).
% 15.38/10.52 tff(13949,plain,
% 15.38/10.52 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB94) <=> (~((~v139(constB94)) | (~v130(constB94)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB94) <=> (~((~v130(constB94)) | (~v139(constB94))))))),
% 15.38/10.52 inference(monotonicity,[status(thm)],[13948])).
% 15.38/10.52 tff(13950,plain,
% 15.38/10.52 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB94) <=> (~((~v139(constB94)) | (~v130(constB94)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB94) <=> (~((~v130(constB94)) | (~v139(constB94))))))),
% 15.38/10.52 inference(transitivity,[status(thm)],[13949, 13947])).
% 15.38/10.52 tff(13951,plain,
% 15.38/10.52 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB94) <=> (~((~v139(constB94)) | (~v130(constB94)))))),
% 15.38/10.52 inference(quant_inst,[status(thm)],[])).
% 15.38/10.52 tff(13952,plain,
% 15.38/10.52 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB94) <=> (~((~v130(constB94)) | (~v139(constB94)))))),
% 15.38/10.52 inference(modus_ponens,[status(thm)],[13951, 13950])).
% 15.38/10.52 tff(13953,plain,
% 15.38/10.52 (v153(constB94) <=> (~((~v130(constB94)) | (~v139(constB94))))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13952, 447])).
% 15.38/10.52 tff(13954,plain,
% 15.38/10.52 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB94) <=> v152(constB94))),
% 15.38/10.52 inference(quant_inst,[status(thm)],[])).
% 15.38/10.52 tff(13955,plain,
% 15.38/10.52 (v130(constB94) <=> v152(constB94)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13954, 361])).
% 15.38/10.52 tff(13956,plain,
% 15.38/10.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB93, constB94)) | (v152(constB94) <=> v150(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB93, constB94)) | (v152(constB94) <=> v150(constB93)))),
% 15.38/10.52 inference(rewrite,[status(thm)],[])).
% 15.38/10.52 tff(13957,plain,
% 15.38/10.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB93, constB94)) | (v152(constB94) <=> v150(constB93)))),
% 15.38/10.52 inference(quant_inst,[status(thm)],[])).
% 15.38/10.52 tff(13958,plain,
% 15.38/10.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB93, constB94)) | (v152(constB94) <=> v150(constB93))),
% 15.38/10.52 inference(modus_ponens,[status(thm)],[13957, 13956])).
% 15.38/10.52 tff(13959,plain,
% 15.38/10.52 (v152(constB94) <=> v150(constB93)),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13958, 6545, 373])).
% 15.38/10.52 tff(13960,plain,
% 15.38/10.52 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB93) <=> (v153(constB93) | v154(constB93)))),
% 15.38/10.52 inference(quant_inst,[status(thm)],[])).
% 15.38/10.52 tff(13961,plain,
% 15.38/10.52 (v150(constB93) <=> (v153(constB93) | v154(constB93))),
% 15.38/10.52 inference(unit_resolution,[status(thm)],[13960, 387])).
% 15.38/10.52 tff(13962,plain,
% 15.38/10.52 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB93) <=> (~((~v130(constB93)) | (~v139(constB93)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB93) <=> (~((~v130(constB93)) | (~v139(constB93))))))),
% 15.38/10.53 inference(rewrite,[status(thm)],[])).
% 15.38/10.53 tff(13963,plain,
% 15.38/10.53 ((v153(constB93) <=> (~((~v139(constB93)) | (~v130(constB93))))) <=> (v153(constB93) <=> (~((~v130(constB93)) | (~v139(constB93)))))),
% 15.38/10.53 inference(rewrite,[status(thm)],[])).
% 15.38/10.53 tff(13964,plain,
% 15.38/10.53 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB93) <=> (~((~v139(constB93)) | (~v130(constB93)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB93) <=> (~((~v130(constB93)) | (~v139(constB93))))))),
% 15.38/10.53 inference(monotonicity,[status(thm)],[13963])).
% 15.38/10.53 tff(13965,plain,
% 15.38/10.53 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB93) <=> (~((~v139(constB93)) | (~v130(constB93)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB93) <=> (~((~v130(constB93)) | (~v139(constB93))))))),
% 15.38/10.53 inference(transitivity,[status(thm)],[13964, 13962])).
% 15.38/10.53 tff(13966,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB93) <=> (~((~v139(constB93)) | (~v130(constB93)))))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(13967,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB93) <=> (~((~v130(constB93)) | (~v139(constB93)))))),
% 15.38/10.53 inference(modus_ponens,[status(thm)],[13966, 13965])).
% 15.38/10.53 tff(13968,plain,
% 15.38/10.53 (v153(constB93) <=> (~((~v130(constB93)) | (~v139(constB93))))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13967, 447])).
% 15.38/10.53 tff(13969,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB93)) <=> v140(constB93))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(13970,plain,
% 15.38/10.53 ((~v139(constB93)) <=> v140(constB93)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13969, 203])).
% 15.38/10.53 tff(13971,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB93) <=> (v141(constB93) | v26(constB93)))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(13972,plain,
% 15.38/10.53 (v140(constB93) <=> (v141(constB93) | v26(constB93))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13971, 212])).
% 15.38/10.53 tff(13973,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB93) <=> (~((~v39(constB93)) | (~v9(constB93)))))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(13974,plain,
% 15.38/10.53 (v141(constB93) <=> (~((~v39(constB93)) | (~v9(constB93))))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13973, 130])).
% 15.38/10.53 tff(13975,plain,
% 15.38/10.53 (((~![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)))),
% 15.38/10.53 inference(rewrite,[status(thm)],[])).
% 15.38/10.53 tff(13976,plain,
% 15.38/10.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93)))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(13977,plain,
% 15.38/10.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93))),
% 15.38/10.53 inference(modus_ponens,[status(thm)],[13976, 13975])).
% 15.38/10.53 tff(13978,plain,
% 15.38/10.53 (v13(constB94) <=> v9(constB93)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13977, 6545, 226])).
% 15.38/10.53 tff(13979,plain,
% 15.38/10.53 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB94) <=> v13(constB94))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(13980,plain,
% 15.38/10.53 (v6(constB94) <=> v13(constB94)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13979, 240])).
% 15.38/10.53 tff(13981,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB94)) <=> v6(constB94))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(13982,plain,
% 15.38/10.53 ((~v21(constB94)) <=> v6(constB94)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13981, 249])).
% 15.38/10.53 tff(13983,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB94) <=> (v20(constB94) | v21(constB94)))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(13984,plain,
% 15.38/10.53 (v19(constB94) <=> (v20(constB94) | v21(constB94))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13983, 258])).
% 15.38/10.53 tff(13985,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB94) <=> (~((~v19(constB94)) | (~v22(constB94)))))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(13986,plain,
% 15.38/10.53 (v18(constB94) <=> (~((~v19(constB94)) | (~v22(constB94))))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13985, 270])).
% 15.38/10.53 tff(13987,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB94)) <=> v18(constB94))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(13988,plain,
% 15.38/10.53 ((~v4(constB94)) <=> v18(constB94)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13987, 279])).
% 15.38/10.53 tff(13989,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB94)),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(13990,plain,
% 15.38/10.53 (v4(constB94)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13989, 288])).
% 15.38/10.53 tff(13991,plain,
% 15.38/10.53 ((~((~v4(constB94)) <=> v18(constB94))) | (~v4(constB94)) | (~v18(constB94))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(13992,plain,
% 15.38/10.53 (~v18(constB94)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13991, 13990, 13988])).
% 15.38/10.53 tff(13993,plain,
% 15.38/10.53 ((~(v18(constB94) <=> (~((~v19(constB94)) | (~v22(constB94)))))) | v18(constB94) | ((~v19(constB94)) | (~v22(constB94)))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(13994,plain,
% 15.38/10.53 ((~v19(constB94)) | (~v22(constB94))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13993, 13992, 13986])).
% 15.38/10.53 tff(13995,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB94) <=> (v1(constB94) | v6(constB94)))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(13996,plain,
% 15.38/10.53 (v22(constB94) <=> (v1(constB94) | v6(constB94))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13995, 301])).
% 15.38/10.53 tff(13997,plain,
% 15.38/10.53 ((v1(constB94) | v6(constB94)) | (~v1(constB94))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(13998,plain,
% 15.38/10.53 (v1(constB94) | v6(constB94)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13997, 12163])).
% 15.38/10.53 tff(13999,plain,
% 15.38/10.53 ((~(v22(constB94) <=> (v1(constB94) | v6(constB94)))) | v22(constB94) | (~(v1(constB94) | v6(constB94)))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14000,plain,
% 15.38/10.53 ((~(v22(constB94) <=> (v1(constB94) | v6(constB94)))) | v22(constB94)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[13999, 13998])).
% 15.38/10.53 tff(14001,plain,
% 15.38/10.53 (v22(constB94)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14000, 13996])).
% 15.38/10.53 tff(14002,plain,
% 15.38/10.53 ((~((~v19(constB94)) | (~v22(constB94)))) | (~v19(constB94)) | (~v22(constB94))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14003,plain,
% 15.38/10.53 ((~((~v19(constB94)) | (~v22(constB94)))) | (~v19(constB94))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14002, 14001])).
% 15.38/10.53 tff(14004,plain,
% 15.38/10.53 (~v19(constB94)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14003, 13994])).
% 15.38/10.53 tff(14005,plain,
% 15.38/10.53 ((~(v19(constB94) <=> (v20(constB94) | v21(constB94)))) | v19(constB94) | (~(v20(constB94) | v21(constB94)))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14006,plain,
% 15.38/10.53 (~(v20(constB94) | v21(constB94))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14005, 14004, 13984])).
% 15.38/10.53 tff(14007,plain,
% 15.38/10.53 ((v20(constB94) | v21(constB94)) | (~v21(constB94))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14008,plain,
% 15.38/10.53 (~v21(constB94)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14007, 14006])).
% 15.38/10.53 tff(14009,plain,
% 15.38/10.53 ((~((~v21(constB94)) <=> v6(constB94))) | v21(constB94) | v6(constB94)),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14010,plain,
% 15.38/10.53 (v6(constB94)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14009, 14008, 13982])).
% 15.38/10.53 tff(14011,plain,
% 15.38/10.53 ((~(v6(constB94) <=> v13(constB94))) | (~v6(constB94)) | v13(constB94)),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14012,plain,
% 15.38/10.53 (v13(constB94)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14011, 14010, 13980])).
% 15.38/10.53 tff(14013,plain,
% 15.38/10.53 ((~(v13(constB94) <=> v9(constB93))) | (~v13(constB94)) | v9(constB93)),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14014,plain,
% 15.38/10.53 (v9(constB93)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14013, 14012, 13978])).
% 15.38/10.53 tff(14015,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB93)) <=> v1(constB93))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(14016,plain,
% 15.38/10.53 ((~v39(constB93)) <=> v1(constB93)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14015, 139])).
% 15.38/10.53 tff(14017,plain,
% 15.38/10.53 ((~((~v39(constB93)) <=> v1(constB93))) | v39(constB93) | v1(constB93)),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14018,plain,
% 15.38/10.53 ((~((~v39(constB93)) <=> v1(constB93))) | v39(constB93)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14017, 6589])).
% 15.38/10.53 tff(14019,plain,
% 15.38/10.53 (v39(constB93)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14018, 14016])).
% 15.38/10.53 tff(14020,plain,
% 15.38/10.53 ((~((~v39(constB93)) | (~v9(constB93)))) | (~v39(constB93)) | (~v9(constB93))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14021,plain,
% 15.38/10.53 ((~((~v39(constB93)) | (~v9(constB93)))) | (~v9(constB93))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14020, 14019])).
% 15.38/10.53 tff(14022,plain,
% 15.38/10.53 (~((~v39(constB93)) | (~v9(constB93)))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14021, 14014])).
% 15.38/10.53 tff(14023,plain,
% 15.38/10.53 ((~(v141(constB93) <=> (~((~v39(constB93)) | (~v9(constB93)))))) | v141(constB93) | ((~v39(constB93)) | (~v9(constB93)))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14024,plain,
% 15.38/10.53 (v141(constB93)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14023, 14022, 13974])).
% 15.38/10.53 tff(14025,plain,
% 15.38/10.53 ((v141(constB93) | v26(constB93)) | (~v141(constB93))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14026,plain,
% 15.38/10.53 (v141(constB93) | v26(constB93)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14025, 14024])).
% 15.38/10.53 tff(14027,plain,
% 15.38/10.53 ((~(v140(constB93) <=> (v141(constB93) | v26(constB93)))) | v140(constB93) | (~(v141(constB93) | v26(constB93)))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14028,plain,
% 15.38/10.53 (v140(constB93)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14027, 14026, 13972])).
% 15.38/10.53 tff(14029,plain,
% 15.38/10.53 ((~((~v139(constB93)) <=> v140(constB93))) | (~v139(constB93)) | (~v140(constB93))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14030,plain,
% 15.38/10.53 (~v139(constB93)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14029, 14028, 13970])).
% 15.38/10.53 tff(14031,plain,
% 15.38/10.53 (((~v130(constB93)) | (~v139(constB93))) | v139(constB93)),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14032,plain,
% 15.38/10.53 ((~v130(constB93)) | (~v139(constB93))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14031, 14030])).
% 15.38/10.53 tff(14033,plain,
% 15.38/10.53 ((~(v153(constB93) <=> (~((~v130(constB93)) | (~v139(constB93)))))) | (~v153(constB93)) | (~((~v130(constB93)) | (~v139(constB93))))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14034,plain,
% 15.38/10.53 (~v153(constB93)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14033, 14032, 13968])).
% 15.38/10.53 tff(14035,plain,
% 15.38/10.53 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB93) <=> (~((~v132(constB93)) | (~v155(constB93)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB93) <=> (~((~v132(constB93)) | (~v155(constB93))))))),
% 15.38/10.53 inference(rewrite,[status(thm)],[])).
% 15.38/10.53 tff(14036,plain,
% 15.38/10.53 ((v154(constB93) <=> (~((~v155(constB93)) | (~v132(constB93))))) <=> (v154(constB93) <=> (~((~v132(constB93)) | (~v155(constB93)))))),
% 15.38/10.53 inference(rewrite,[status(thm)],[])).
% 15.38/10.53 tff(14037,plain,
% 15.38/10.53 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB93) <=> (~((~v155(constB93)) | (~v132(constB93)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB93) <=> (~((~v132(constB93)) | (~v155(constB93))))))),
% 15.38/10.53 inference(monotonicity,[status(thm)],[14036])).
% 15.38/10.53 tff(14038,plain,
% 15.38/10.53 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB93) <=> (~((~v155(constB93)) | (~v132(constB93)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB93) <=> (~((~v132(constB93)) | (~v155(constB93))))))),
% 15.38/10.53 inference(transitivity,[status(thm)],[14037, 14035])).
% 15.38/10.53 tff(14039,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB93) <=> (~((~v155(constB93)) | (~v132(constB93)))))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(14040,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB93) <=> (~((~v132(constB93)) | (~v155(constB93)))))),
% 15.38/10.53 inference(modus_ponens,[status(thm)],[14039, 14038])).
% 15.38/10.53 tff(14041,plain,
% 15.38/10.53 (v154(constB93) <=> (~((~v132(constB93)) | (~v155(constB93))))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14040, 399])).
% 15.38/10.53 tff(14042,plain,
% 15.38/10.53 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB93) <=> v137(constB93))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(14043,plain,
% 15.38/10.53 (v132(constB93) <=> v137(constB93)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14042, 558])).
% 15.38/10.53 tff(14044,plain,
% 15.38/10.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB92, constB93)) | (v137(constB93) <=> v135(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB92, constB93)) | (v137(constB93) <=> v135(constB92)))),
% 15.38/10.53 inference(rewrite,[status(thm)],[])).
% 15.38/10.53 tff(14045,plain,
% 15.38/10.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB92, constB93)) | (v137(constB93) <=> v135(constB92)))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(14046,plain,
% 15.38/10.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB92, constB93)) | (v137(constB93) <=> v135(constB92))),
% 15.38/10.53 inference(modus_ponens,[status(thm)],[14045, 14044])).
% 15.38/10.53 tff(14047,plain,
% 15.38/10.53 (v137(constB93) <=> v135(constB92)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14046, 6575, 570])).
% 15.38/10.53 tff(14048,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB92) <=> (v138(constB92) | v142(constB92)))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(14049,plain,
% 15.38/10.53 (v135(constB92) <=> (v138(constB92) | v142(constB92))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14048, 584])).
% 15.38/10.53 tff(14050,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB92) <=> (~((~v143(constB92)) | (~v144(constB92)))))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(14051,plain,
% 15.38/10.53 (v142(constB92) <=> (~((~v143(constB92)) | (~v144(constB92))))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14050, 596])).
% 15.38/10.53 tff(14052,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB92) <=> (~((~v141(constB92)) | (~v145(constB92)))))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(14053,plain,
% 15.38/10.53 (v144(constB92) <=> (~((~v141(constB92)) | (~v145(constB92))))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14052, 608])).
% 15.38/10.53 tff(14054,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(14055,plain,
% 15.38/10.53 (v141(constB92) <=> (~((~v39(constB92)) | (~v9(constB92))))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14054, 130])).
% 15.38/10.53 tff(14056,plain,
% 15.38/10.53 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB92)) <=> v1(constB92))),
% 15.38/10.53 inference(quant_inst,[status(thm)],[])).
% 15.38/10.53 tff(14057,plain,
% 15.38/10.53 ((~v39(constB92)) <=> v1(constB92)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14056, 139])).
% 15.38/10.53 tff(14058,plain,
% 15.38/10.53 ((~((~v39(constB92)) <=> v1(constB92))) | (~v39(constB92)) | (~v1(constB92))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14059,plain,
% 15.38/10.53 ((~((~v39(constB92)) <=> v1(constB92))) | (~v39(constB92))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14058, 12017])).
% 15.38/10.53 tff(14060,plain,
% 15.38/10.53 (~v39(constB92)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14059, 14057])).
% 15.38/10.53 tff(14061,plain,
% 15.38/10.53 (((~v39(constB92)) | (~v9(constB92))) | v39(constB92)),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14062,plain,
% 15.38/10.53 ((~v39(constB92)) | (~v9(constB92))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14061, 14060])).
% 15.38/10.53 tff(14063,plain,
% 15.38/10.53 ((~(v141(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))) | (~v141(constB92)) | (~((~v39(constB92)) | (~v9(constB92))))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14064,plain,
% 15.38/10.53 ((~(v141(constB92) <=> (~((~v39(constB92)) | (~v9(constB92)))))) | (~v141(constB92))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14063, 14062])).
% 15.38/10.53 tff(14065,plain,
% 15.38/10.53 (~v141(constB92)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14064, 14055])).
% 15.38/10.53 tff(14066,plain,
% 15.38/10.53 (((~v141(constB92)) | (~v145(constB92))) | v141(constB92)),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14067,plain,
% 15.38/10.53 ((~v141(constB92)) | (~v145(constB92))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14066, 14065])).
% 15.38/10.53 tff(14068,plain,
% 15.38/10.53 ((~(v144(constB92) <=> (~((~v141(constB92)) | (~v145(constB92)))))) | (~v144(constB92)) | (~((~v141(constB92)) | (~v145(constB92))))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14069,plain,
% 15.38/10.53 ((~(v144(constB92) <=> (~((~v141(constB92)) | (~v145(constB92)))))) | (~v144(constB92))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14068, 14067])).
% 15.38/10.53 tff(14070,plain,
% 15.38/10.53 (~v144(constB92)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14069, 14053])).
% 15.38/10.53 tff(14071,plain,
% 15.38/10.53 (((~v143(constB92)) | (~v144(constB92))) | v144(constB92)),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14072,plain,
% 15.38/10.53 ((~v143(constB92)) | (~v144(constB92))),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14071, 14070])).
% 15.38/10.53 tff(14073,plain,
% 15.38/10.53 ((~(v142(constB92) <=> (~((~v143(constB92)) | (~v144(constB92)))))) | (~v142(constB92)) | (~((~v143(constB92)) | (~v144(constB92))))),
% 15.38/10.53 inference(tautology,[status(thm)],[])).
% 15.38/10.53 tff(14074,plain,
% 15.38/10.53 (~v142(constB92)),
% 15.38/10.53 inference(unit_resolution,[status(thm)],[14073, 14072, 14051])).
% 15.38/10.53 tff(14075,plain,
% 15.38/10.53 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB92) <=> (~((~v132(constB92)) | (~v139(constB92)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB92) <=> (~((~v132(constB92)) | (~v139(constB92))))))),
% 15.38/10.53 inference(rewrite,[status(thm)],[])).
% 15.38/10.53 tff(14076,plain,
% 15.38/10.53 ((v138(constB92) <=> (~((~v139(constB92)) | (~v132(constB92))))) <=> (v138(constB92) <=> (~((~v132(constB92)) | (~v139(constB92)))))),
% 15.38/10.53 inference(rewrite,[status(thm)],[])).
% 15.38/10.53 tff(14077,plain,
% 15.38/10.53 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB92) <=> (~((~v139(constB92)) | (~v132(constB92)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB92) <=> (~((~v132(constB92)) | (~v139(constB92))))))),
% 15.38/10.53 inference(monotonicity,[status(thm)],[14076])).
% 15.38/10.53 tff(14078,plain,
% 15.38/10.53 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB92) <=> (~((~v139(constB92)) | (~v132(constB92)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB92) <=> (~((~v132(constB92)) | (~v139(constB92))))))),
% 15.38/10.53 inference(transitivity,[status(thm)],[14077, 14075])).
% 15.38/10.54 tff(14079,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB92) <=> (~((~v139(constB92)) | (~v132(constB92)))))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14080,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB92) <=> (~((~v132(constB92)) | (~v139(constB92)))))),
% 15.38/10.54 inference(modus_ponens,[status(thm)],[14079, 14078])).
% 15.38/10.54 tff(14081,plain,
% 15.38/10.54 (v138(constB92) <=> (~((~v132(constB92)) | (~v139(constB92))))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14080, 644])).
% 15.38/10.54 tff(14082,plain,
% 15.38/10.54 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB92) <=> v137(constB92))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14083,plain,
% 15.38/10.54 (v132(constB92) <=> v137(constB92)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14082, 558])).
% 15.38/10.54 tff(14084,plain,
% 15.38/10.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB91, constB92)) | (v137(constB92) <=> v135(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB91, constB92)) | (v137(constB92) <=> v135(constB91)))),
% 15.38/10.54 inference(rewrite,[status(thm)],[])).
% 15.38/10.54 tff(14085,plain,
% 15.38/10.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB91, constB92)) | (v137(constB92) <=> v135(constB91)))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14086,plain,
% 15.38/10.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB91, constB92)) | (v137(constB92) <=> v135(constB91))),
% 15.38/10.54 inference(modus_ponens,[status(thm)],[14085, 14084])).
% 15.38/10.54 tff(14087,plain,
% 15.38/10.54 (v137(constB92) <=> v135(constB91)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14086, 6611, 570])).
% 15.38/10.54 tff(14088,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB91) <=> (v138(constB91) | v142(constB91)))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14089,plain,
% 15.38/10.54 (v135(constB91) <=> (v138(constB91) | v142(constB91))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14088, 584])).
% 15.38/10.54 tff(14090,plain,
% 15.38/10.54 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB91) <=> (~((~v132(constB91)) | (~v139(constB91)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB91) <=> (~((~v132(constB91)) | (~v139(constB91))))))),
% 15.38/10.54 inference(rewrite,[status(thm)],[])).
% 15.38/10.54 tff(14091,plain,
% 15.38/10.54 ((v138(constB91) <=> (~((~v139(constB91)) | (~v132(constB91))))) <=> (v138(constB91) <=> (~((~v132(constB91)) | (~v139(constB91)))))),
% 15.38/10.54 inference(rewrite,[status(thm)],[])).
% 15.38/10.54 tff(14092,plain,
% 15.38/10.54 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB91) <=> (~((~v139(constB91)) | (~v132(constB91)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB91) <=> (~((~v132(constB91)) | (~v139(constB91))))))),
% 15.38/10.54 inference(monotonicity,[status(thm)],[14091])).
% 15.38/10.54 tff(14093,plain,
% 15.38/10.54 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB91) <=> (~((~v139(constB91)) | (~v132(constB91)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB91) <=> (~((~v132(constB91)) | (~v139(constB91))))))),
% 15.38/10.54 inference(transitivity,[status(thm)],[14092, 14090])).
% 15.38/10.54 tff(14094,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB91) <=> (~((~v139(constB91)) | (~v132(constB91)))))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14095,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB91) <=> (~((~v132(constB91)) | (~v139(constB91)))))),
% 15.38/10.54 inference(modus_ponens,[status(thm)],[14094, 14093])).
% 15.38/10.54 tff(14096,plain,
% 15.38/10.54 (v138(constB91) <=> (~((~v132(constB91)) | (~v139(constB91))))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14095, 644])).
% 15.38/10.54 tff(14097,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB91)) <=> v140(constB91))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14098,plain,
% 15.38/10.54 ((~v139(constB91)) <=> v140(constB91)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14097, 203])).
% 15.38/10.54 tff(14099,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB91) <=> (v141(constB91) | v26(constB91)))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14100,plain,
% 15.38/10.54 (v140(constB91) <=> (v141(constB91) | v26(constB91))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14099, 212])).
% 15.38/10.54 tff(14101,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB91) <=> (~((~v39(constB91)) | (~v9(constB91)))))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14102,plain,
% 15.38/10.54 (v141(constB91) <=> (~((~v39(constB91)) | (~v9(constB91))))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14101, 130])).
% 15.38/10.54 tff(14103,plain,
% 15.38/10.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91)))),
% 15.38/10.54 inference(rewrite,[status(thm)],[])).
% 15.38/10.54 tff(14104,plain,
% 15.38/10.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91)))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14105,plain,
% 15.38/10.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB91, constB92)) | (v13(constB92) <=> v9(constB91))),
% 15.38/10.54 inference(modus_ponens,[status(thm)],[14104, 14103])).
% 15.38/10.54 tff(14106,plain,
% 15.38/10.54 (v13(constB92) <=> v9(constB91)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14105, 6611, 226])).
% 15.38/10.54 tff(14107,plain,
% 15.38/10.54 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB92) <=> v13(constB92))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14108,plain,
% 15.38/10.54 (v6(constB92) <=> v13(constB92)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14107, 240])).
% 15.38/10.54 tff(14109,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB92)) <=> v6(constB92))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14110,plain,
% 15.38/10.54 ((~v21(constB92)) <=> v6(constB92)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14109, 249])).
% 15.38/10.54 tff(14111,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB92) <=> (v20(constB92) | v21(constB92)))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14112,plain,
% 15.38/10.54 (v19(constB92) <=> (v20(constB92) | v21(constB92))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14111, 258])).
% 15.38/10.54 tff(14113,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB92) <=> (~((~v19(constB92)) | (~v22(constB92)))))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14114,plain,
% 15.38/10.54 (v18(constB92) <=> (~((~v19(constB92)) | (~v22(constB92))))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14113, 270])).
% 15.38/10.54 tff(14115,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB92)) <=> v18(constB92))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14116,plain,
% 15.38/10.54 ((~v4(constB92)) <=> v18(constB92)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14115, 279])).
% 15.38/10.54 tff(14117,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB92)),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14118,plain,
% 15.38/10.54 (v4(constB92)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14117, 288])).
% 15.38/10.54 tff(14119,plain,
% 15.38/10.54 ((~((~v4(constB92)) <=> v18(constB92))) | (~v4(constB92)) | (~v18(constB92))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14120,plain,
% 15.38/10.54 (~v18(constB92)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14119, 14118, 14116])).
% 15.38/10.54 tff(14121,plain,
% 15.38/10.54 ((~(v18(constB92) <=> (~((~v19(constB92)) | (~v22(constB92)))))) | v18(constB92) | ((~v19(constB92)) | (~v22(constB92)))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14122,plain,
% 15.38/10.54 ((~v19(constB92)) | (~v22(constB92))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14121, 14120, 14114])).
% 15.38/10.54 tff(14123,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB92) <=> (v1(constB92) | v6(constB92)))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14124,plain,
% 15.38/10.54 (v22(constB92) <=> (v1(constB92) | v6(constB92))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14123, 301])).
% 15.38/10.54 tff(14125,plain,
% 15.38/10.54 ((v1(constB92) | v6(constB92)) | (~v1(constB92))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14126,plain,
% 15.38/10.54 (v1(constB92) | v6(constB92)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14125, 12017])).
% 15.38/10.54 tff(14127,plain,
% 15.38/10.54 ((~(v22(constB92) <=> (v1(constB92) | v6(constB92)))) | v22(constB92) | (~(v1(constB92) | v6(constB92)))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14128,plain,
% 15.38/10.54 ((~(v22(constB92) <=> (v1(constB92) | v6(constB92)))) | v22(constB92)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14127, 14126])).
% 15.38/10.54 tff(14129,plain,
% 15.38/10.54 (v22(constB92)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14128, 14124])).
% 15.38/10.54 tff(14130,plain,
% 15.38/10.54 ((~((~v19(constB92)) | (~v22(constB92)))) | (~v19(constB92)) | (~v22(constB92))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14131,plain,
% 15.38/10.54 ((~((~v19(constB92)) | (~v22(constB92)))) | (~v19(constB92))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14130, 14129])).
% 15.38/10.54 tff(14132,plain,
% 15.38/10.54 (~v19(constB92)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14131, 14122])).
% 15.38/10.54 tff(14133,plain,
% 15.38/10.54 ((~(v19(constB92) <=> (v20(constB92) | v21(constB92)))) | v19(constB92) | (~(v20(constB92) | v21(constB92)))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14134,plain,
% 15.38/10.54 (~(v20(constB92) | v21(constB92))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14133, 14132, 14112])).
% 15.38/10.54 tff(14135,plain,
% 15.38/10.54 ((v20(constB92) | v21(constB92)) | (~v21(constB92))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14136,plain,
% 15.38/10.54 (~v21(constB92)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14135, 14134])).
% 15.38/10.54 tff(14137,plain,
% 15.38/10.54 ((~((~v21(constB92)) <=> v6(constB92))) | v21(constB92) | v6(constB92)),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14138,plain,
% 15.38/10.54 (v6(constB92)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14137, 14136, 14110])).
% 15.38/10.54 tff(14139,plain,
% 15.38/10.54 ((~(v6(constB92) <=> v13(constB92))) | (~v6(constB92)) | v13(constB92)),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14140,plain,
% 15.38/10.54 (v13(constB92)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14139, 14138, 14108])).
% 15.38/10.54 tff(14141,plain,
% 15.38/10.54 ((~(v13(constB92) <=> v9(constB91))) | (~v13(constB92)) | v9(constB91)),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14142,plain,
% 15.38/10.54 (v9(constB91)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14141, 14140, 14106])).
% 15.38/10.54 tff(14143,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB91)) <=> v1(constB91))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14144,plain,
% 15.38/10.54 ((~v39(constB91)) <=> v1(constB91)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14143, 139])).
% 15.38/10.54 tff(14145,plain,
% 15.38/10.54 ((~((~v39(constB91)) <=> v1(constB91))) | v39(constB91) | v1(constB91)),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14146,plain,
% 15.38/10.54 ((~((~v39(constB91)) <=> v1(constB91))) | v39(constB91)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14145, 6650])).
% 15.38/10.54 tff(14147,plain,
% 15.38/10.54 (v39(constB91)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14146, 14144])).
% 15.38/10.54 tff(14148,plain,
% 15.38/10.54 ((~((~v39(constB91)) | (~v9(constB91)))) | (~v39(constB91)) | (~v9(constB91))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14149,plain,
% 15.38/10.54 ((~((~v39(constB91)) | (~v9(constB91)))) | (~v9(constB91))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14148, 14147])).
% 15.38/10.54 tff(14150,plain,
% 15.38/10.54 (~((~v39(constB91)) | (~v9(constB91)))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14149, 14142])).
% 15.38/10.54 tff(14151,plain,
% 15.38/10.54 ((~(v141(constB91) <=> (~((~v39(constB91)) | (~v9(constB91)))))) | v141(constB91) | ((~v39(constB91)) | (~v9(constB91)))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14152,plain,
% 15.38/10.54 (v141(constB91)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14151, 14150, 14102])).
% 15.38/10.54 tff(14153,plain,
% 15.38/10.54 ((v141(constB91) | v26(constB91)) | (~v141(constB91))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14154,plain,
% 15.38/10.54 (v141(constB91) | v26(constB91)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14153, 14152])).
% 15.38/10.54 tff(14155,plain,
% 15.38/10.54 ((~(v140(constB91) <=> (v141(constB91) | v26(constB91)))) | v140(constB91) | (~(v141(constB91) | v26(constB91)))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14156,plain,
% 15.38/10.54 (v140(constB91)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14155, 14154, 14100])).
% 15.38/10.54 tff(14157,plain,
% 15.38/10.54 ((~((~v139(constB91)) <=> v140(constB91))) | (~v139(constB91)) | (~v140(constB91))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14158,plain,
% 15.38/10.54 (~v139(constB91)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14157, 14156, 14098])).
% 15.38/10.54 tff(14159,plain,
% 15.38/10.54 (((~v132(constB91)) | (~v139(constB91))) | v139(constB91)),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14160,plain,
% 15.38/10.54 ((~v132(constB91)) | (~v139(constB91))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14159, 14158])).
% 15.38/10.54 tff(14161,plain,
% 15.38/10.54 ((~(v138(constB91) <=> (~((~v132(constB91)) | (~v139(constB91)))))) | (~v138(constB91)) | (~((~v132(constB91)) | (~v139(constB91))))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14162,plain,
% 15.38/10.54 (~v138(constB91)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14161, 14160, 14096])).
% 15.38/10.54 tff(14163,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB91) <=> (~((~v143(constB91)) | (~v144(constB91)))))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14164,plain,
% 15.38/10.54 (v142(constB91) <=> (~((~v143(constB91)) | (~v144(constB91))))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14163, 596])).
% 15.38/10.54 tff(14165,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB91) <=> (~((~v141(constB91)) | (~v145(constB91)))))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14166,plain,
% 15.38/10.54 (v144(constB91) <=> (~((~v141(constB91)) | (~v145(constB91))))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14165, 608])).
% 15.38/10.54 tff(14167,plain,
% 15.38/10.54 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB91) <=> (~(v84(constB91, 1) | v84(constB91, 2) | (~v84(constB91, 0)))))),
% 15.38/10.54 inference(quant_inst,[status(thm)],[])).
% 15.38/10.54 tff(14168,plain,
% 15.38/10.54 (v145(constB91) <=> (~(v84(constB91, 1) | v84(constB91, 2) | (~v84(constB91, 0))))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14167, 755])).
% 15.38/10.54 tff(14169,plain,
% 15.38/10.54 ((v84(constB91, 1) | v84(constB91, 2) | (~v84(constB91, 0))) | (~v84(constB91, 1))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14170,plain,
% 15.38/10.54 (v84(constB91, 1) | v84(constB91, 2) | (~v84(constB91, 0))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14169, 11975])).
% 15.38/10.54 tff(14171,plain,
% 15.38/10.54 ((~(v145(constB91) <=> (~(v84(constB91, 1) | v84(constB91, 2) | (~v84(constB91, 0)))))) | (~v145(constB91)) | (~(v84(constB91, 1) | v84(constB91, 2) | (~v84(constB91, 0))))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14172,plain,
% 15.38/10.54 (~v145(constB91)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14171, 14170, 14168])).
% 15.38/10.54 tff(14173,plain,
% 15.38/10.54 (((~v141(constB91)) | (~v145(constB91))) | v145(constB91)),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14174,plain,
% 15.38/10.54 ((~v141(constB91)) | (~v145(constB91))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14173, 14172])).
% 15.38/10.54 tff(14175,plain,
% 15.38/10.54 ((~(v144(constB91) <=> (~((~v141(constB91)) | (~v145(constB91)))))) | (~v144(constB91)) | (~((~v141(constB91)) | (~v145(constB91))))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14176,plain,
% 15.38/10.54 (~v144(constB91)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14175, 14174, 14166])).
% 15.38/10.54 tff(14177,plain,
% 15.38/10.54 (((~v143(constB91)) | (~v144(constB91))) | v144(constB91)),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14178,plain,
% 15.38/10.54 ((~v143(constB91)) | (~v144(constB91))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14177, 14176])).
% 15.38/10.54 tff(14179,plain,
% 15.38/10.54 ((~(v142(constB91) <=> (~((~v143(constB91)) | (~v144(constB91)))))) | (~v142(constB91)) | (~((~v143(constB91)) | (~v144(constB91))))),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14180,plain,
% 15.38/10.54 (~v142(constB91)),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14179, 14178, 14164])).
% 15.38/10.54 tff(14181,plain,
% 15.38/10.54 ((~(v138(constB91) | v142(constB91))) | v138(constB91) | v142(constB91)),
% 15.38/10.54 inference(tautology,[status(thm)],[])).
% 15.38/10.54 tff(14182,plain,
% 15.38/10.54 (~(v138(constB91) | v142(constB91))),
% 15.38/10.54 inference(unit_resolution,[status(thm)],[14181, 14180, 14162])).
% 15.38/10.54 tff(14183,plain,
% 15.38/10.54 ((~(v135(constB91) <=> (v138(constB91) | v142(constB91)))) | (~v135(constB91)) | (v138(constB91) | v142(constB91))),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14184,plain,
% 15.38/10.55 (~v135(constB91)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14183, 14182, 14089])).
% 15.38/10.55 tff(14185,plain,
% 15.38/10.55 ((~(v137(constB92) <=> v135(constB91))) | (~v137(constB92)) | v135(constB91)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14186,plain,
% 15.38/10.55 (~v137(constB92)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14185, 14184, 14087])).
% 15.38/10.55 tff(14187,plain,
% 15.38/10.55 ((~(v132(constB92) <=> v137(constB92))) | (~v132(constB92)) | v137(constB92)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14188,plain,
% 15.38/10.55 (~v132(constB92)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14187, 14186, 14083])).
% 15.38/10.55 tff(14189,plain,
% 15.38/10.55 (((~v132(constB92)) | (~v139(constB92))) | v132(constB92)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14190,plain,
% 15.38/10.55 ((~v132(constB92)) | (~v139(constB92))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14189, 14188])).
% 15.38/10.55 tff(14191,plain,
% 15.38/10.55 ((~(v138(constB92) <=> (~((~v132(constB92)) | (~v139(constB92)))))) | (~v138(constB92)) | (~((~v132(constB92)) | (~v139(constB92))))),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14192,plain,
% 15.38/10.55 (~v138(constB92)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14191, 14190, 14081])).
% 15.38/10.55 tff(14193,plain,
% 15.38/10.55 ((~(v138(constB92) | v142(constB92))) | v138(constB92) | v142(constB92)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14194,plain,
% 15.38/10.55 (~(v138(constB92) | v142(constB92))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14193, 14192, 14074])).
% 15.38/10.55 tff(14195,plain,
% 15.38/10.55 ((~(v135(constB92) <=> (v138(constB92) | v142(constB92)))) | (~v135(constB92)) | (v138(constB92) | v142(constB92))),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14196,plain,
% 15.38/10.55 (~v135(constB92)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14195, 14194, 14049])).
% 15.38/10.55 tff(14197,plain,
% 15.38/10.55 ((~(v137(constB93) <=> v135(constB92))) | (~v137(constB93)) | v135(constB92)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14198,plain,
% 15.38/10.55 (~v137(constB93)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14197, 14196, 14047])).
% 15.38/10.55 tff(14199,plain,
% 15.38/10.55 ((~(v132(constB93) <=> v137(constB93))) | (~v132(constB93)) | v137(constB93)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14200,plain,
% 15.38/10.55 (~v132(constB93)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14199, 14198, 14043])).
% 15.38/10.55 tff(14201,plain,
% 15.38/10.55 (((~v132(constB93)) | (~v155(constB93))) | v132(constB93)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14202,plain,
% 15.38/10.55 ((~v132(constB93)) | (~v155(constB93))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14201, 14200])).
% 15.38/10.55 tff(14203,plain,
% 15.38/10.55 ((~(v154(constB93) <=> (~((~v132(constB93)) | (~v155(constB93)))))) | (~v154(constB93)) | (~((~v132(constB93)) | (~v155(constB93))))),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14204,plain,
% 15.38/10.55 (~v154(constB93)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14203, 14202, 14041])).
% 15.38/10.55 tff(14205,plain,
% 15.38/10.55 ((~(v153(constB93) | v154(constB93))) | v153(constB93) | v154(constB93)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14206,plain,
% 15.38/10.55 (~(v153(constB93) | v154(constB93))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14205, 14204, 14034])).
% 15.38/10.55 tff(14207,plain,
% 15.38/10.55 ((~(v150(constB93) <=> (v153(constB93) | v154(constB93)))) | (~v150(constB93)) | (v153(constB93) | v154(constB93))),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14208,plain,
% 15.38/10.55 (~v150(constB93)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14207, 14206, 13961])).
% 15.38/10.55 tff(14209,plain,
% 15.38/10.55 ((~(v152(constB94) <=> v150(constB93))) | (~v152(constB94)) | v150(constB93)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14210,plain,
% 15.38/10.55 (~v152(constB94)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14209, 14208, 13959])).
% 15.38/10.55 tff(14211,plain,
% 15.38/10.55 ((~(v130(constB94) <=> v152(constB94))) | (~v130(constB94)) | v152(constB94)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14212,plain,
% 15.38/10.55 (~v130(constB94)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14211, 14210, 13955])).
% 15.38/10.55 tff(14213,plain,
% 15.38/10.55 (((~v130(constB94)) | (~v139(constB94))) | v130(constB94)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14214,plain,
% 15.38/10.55 ((~v130(constB94)) | (~v139(constB94))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14213, 14212])).
% 15.38/10.55 tff(14215,plain,
% 15.38/10.55 ((~(v153(constB94) <=> (~((~v130(constB94)) | (~v139(constB94)))))) | (~v153(constB94)) | (~((~v130(constB94)) | (~v139(constB94))))),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14216,plain,
% 15.38/10.55 (~v153(constB94)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14215, 14214, 13953])).
% 15.38/10.55 tff(14217,plain,
% 15.38/10.55 ((~(v153(constB94) | v154(constB94))) | v153(constB94) | v154(constB94)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14218,plain,
% 15.38/10.55 (~(v153(constB94) | v154(constB94))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14217, 14216, 13946])).
% 15.38/10.55 tff(14219,plain,
% 15.38/10.55 ((~(v150(constB94) <=> (v153(constB94) | v154(constB94)))) | (~v150(constB94)) | (v153(constB94) | v154(constB94))),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14220,plain,
% 15.38/10.55 (~v150(constB94)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14219, 14218, 13911])).
% 15.38/10.55 tff(14221,plain,
% 15.38/10.55 ((~(v152(constB95) <=> v150(constB94))) | (~v152(constB95)) | v150(constB94)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14222,plain,
% 15.38/10.55 (~v152(constB95)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14221, 14220, 13909])).
% 15.38/10.55 tff(14223,plain,
% 15.38/10.55 ((~(v130(constB95) <=> v152(constB95))) | (~v130(constB95)) | v152(constB95)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14224,plain,
% 15.38/10.55 (~v130(constB95)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14223, 14222, 13905])).
% 15.38/10.55 tff(14225,plain,
% 15.38/10.55 (((~v130(constB95)) | (~v155(constB95))) | v130(constB95)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14226,plain,
% 15.38/10.55 ((~v130(constB95)) | (~v155(constB95))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14225, 14224])).
% 15.38/10.55 tff(14227,plain,
% 15.38/10.55 ((~(v164(constB95) <=> (~((~v130(constB95)) | (~v155(constB95)))))) | (~v164(constB95)) | (~((~v130(constB95)) | (~v155(constB95))))),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14228,plain,
% 15.38/10.55 (~v164(constB95)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14227, 14226, 13903])).
% 15.38/10.55 tff(14229,plain,
% 15.38/10.55 ((~(v163(constB95) | v164(constB95))) | v163(constB95) | v164(constB95)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14230,plain,
% 15.38/10.55 (~(v163(constB95) | v164(constB95))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14229, 14228, 13896])).
% 15.38/10.55 tff(14231,plain,
% 15.38/10.55 ((~(v160(constB95) <=> (v163(constB95) | v164(constB95)))) | (~v160(constB95)) | (v163(constB95) | v164(constB95))),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14232,plain,
% 15.38/10.55 (~v160(constB95)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14231, 14230, 13823])).
% 15.38/10.55 tff(14233,plain,
% 15.38/10.55 ((~(v162(constB96) <=> v160(constB95))) | (~v162(constB96)) | v160(constB95)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14234,plain,
% 15.38/10.55 (~v162(constB96)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14233, 14232, 13821])).
% 15.38/10.55 tff(14235,plain,
% 15.38/10.55 ((~(v128(constB96) <=> v162(constB96))) | (~v128(constB96)) | v162(constB96)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14236,plain,
% 15.38/10.55 (~v128(constB96)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14235, 14234, 13817])).
% 15.38/10.55 tff(14237,plain,
% 15.38/10.55 (((~v128(constB96)) | (~v139(constB96))) | v128(constB96)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14238,plain,
% 15.38/10.55 ((~v128(constB96)) | (~v139(constB96))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14237, 14236])).
% 15.38/10.55 tff(14239,plain,
% 15.38/10.55 ((~(v163(constB96) <=> (~((~v128(constB96)) | (~v139(constB96)))))) | (~v163(constB96)) | (~((~v128(constB96)) | (~v139(constB96))))),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14240,plain,
% 15.38/10.55 (~v163(constB96)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14239, 14238, 13815])).
% 15.38/10.55 tff(14241,plain,
% 15.38/10.55 ((~(v163(constB96) | v164(constB96))) | v163(constB96) | v164(constB96)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14242,plain,
% 15.38/10.55 (~(v163(constB96) | v164(constB96))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14241, 14240, 13808])).
% 15.38/10.55 tff(14243,plain,
% 15.38/10.55 ((~(v160(constB96) <=> (v163(constB96) | v164(constB96)))) | (~v160(constB96)) | (v163(constB96) | v164(constB96))),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14244,plain,
% 15.38/10.55 (~v160(constB96)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14243, 14242, 13773])).
% 15.38/10.55 tff(14245,plain,
% 15.38/10.55 ((~(v162(constB97) <=> v160(constB96))) | (~v162(constB97)) | v160(constB96)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14246,plain,
% 15.38/10.55 (~v162(constB97)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14245, 14244, 13771])).
% 15.38/10.55 tff(14247,plain,
% 15.38/10.55 ($false),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14246, 13767])).
% 15.38/10.55 tff(14248,plain,(~(constB97 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 15.38/10.55 tff(14249,assumption,(constB167 = VarCurr!0), introduced(assumption)).
% 15.38/10.55 tff(14250,plain,
% 15.38/10.55 (v162(constB167) <=> v162(VarCurr!0)),
% 15.38/10.55 inference(monotonicity,[status(thm)],[14249])).
% 15.38/10.55 tff(14251,plain,
% 15.38/10.55 (v162(VarCurr!0) <=> v162(constB167)),
% 15.38/10.55 inference(symmetry,[status(thm)],[14250])).
% 15.38/10.55 tff(14252,plain,
% 15.38/10.55 (v162(constB167)),
% 15.38/10.55 inference(modus_ponens,[status(thm)],[59, 14251])).
% 15.38/10.55 tff(14253,plain,
% 15.38/10.55 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 15.38/10.55 inference(rewrite,[status(thm)],[])).
% 15.38/10.55 tff(14254,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_166')).
% 15.38/10.55 tff(14255,plain,
% 15.38/10.55 (nextState(constB166, constB167)),
% 15.38/10.55 inference(modus_ponens,[status(thm)],[14254, 14253])).
% 15.38/10.55 tff(14256,plain,
% 15.38/10.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB166, constB167)) | (v162(constB167) <=> v160(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB166, constB167)) | (v162(constB167) <=> v160(constB166)))),
% 15.38/10.55 inference(rewrite,[status(thm)],[])).
% 15.38/10.55 tff(14257,plain,
% 15.38/10.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB166, constB167)) | (v162(constB167) <=> v160(constB166)))),
% 15.38/10.55 inference(quant_inst,[status(thm)],[])).
% 15.38/10.55 tff(14258,plain,
% 15.38/10.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB166, constB167)) | (v162(constB167) <=> v160(constB166))),
% 15.38/10.55 inference(modus_ponens,[status(thm)],[14257, 14256])).
% 15.38/10.55 tff(14259,plain,
% 15.38/10.55 (v162(constB167) <=> v160(constB166)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14258, 14255, 70])).
% 15.38/10.55 tff(14260,plain,
% 15.38/10.55 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB166) <=> (v163(constB166) | v164(constB166)))),
% 15.38/10.55 inference(quant_inst,[status(thm)],[])).
% 15.38/10.55 tff(14261,plain,
% 15.38/10.55 (v160(constB166) <=> (v163(constB166) | v164(constB166))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14260, 84])).
% 15.38/10.55 tff(14262,plain,
% 15.38/10.55 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB166) <=> (~((~v130(constB166)) | (~v155(constB166)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB166) <=> (~((~v130(constB166)) | (~v155(constB166))))))),
% 15.38/10.55 inference(rewrite,[status(thm)],[])).
% 15.38/10.55 tff(14263,plain,
% 15.38/10.55 ((v164(constB166) <=> (~((~v155(constB166)) | (~v130(constB166))))) <=> (v164(constB166) <=> (~((~v130(constB166)) | (~v155(constB166)))))),
% 15.38/10.55 inference(rewrite,[status(thm)],[])).
% 15.38/10.55 tff(14264,plain,
% 15.38/10.55 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB166) <=> (~((~v155(constB166)) | (~v130(constB166)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB166) <=> (~((~v130(constB166)) | (~v155(constB166))))))),
% 15.38/10.55 inference(monotonicity,[status(thm)],[14263])).
% 15.38/10.55 tff(14265,plain,
% 15.38/10.55 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB166) <=> (~((~v155(constB166)) | (~v130(constB166)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB166) <=> (~((~v130(constB166)) | (~v155(constB166))))))),
% 15.38/10.55 inference(transitivity,[status(thm)],[14264, 14262])).
% 15.38/10.55 tff(14266,plain,
% 15.38/10.55 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB166) <=> (~((~v155(constB166)) | (~v130(constB166)))))),
% 15.38/10.55 inference(quant_inst,[status(thm)],[])).
% 15.38/10.55 tff(14267,plain,
% 15.38/10.55 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB166) <=> (~((~v130(constB166)) | (~v155(constB166)))))),
% 15.38/10.55 inference(modus_ponens,[status(thm)],[14266, 14265])).
% 15.38/10.55 tff(14268,plain,
% 15.38/10.55 (v164(constB166) <=> (~((~v130(constB166)) | (~v155(constB166))))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14267, 96])).
% 15.38/10.55 tff(14269,plain,
% 15.38/10.55 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB166) <=> (~((~v141(constB166)) | (~v143(constB166)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB166) <=> (~((~v141(constB166)) | (~v143(constB166))))))),
% 15.38/10.55 inference(rewrite,[status(thm)],[])).
% 15.38/10.55 tff(14270,plain,
% 15.38/10.55 ((v155(constB166) <=> (~((~v143(constB166)) | (~v141(constB166))))) <=> (v155(constB166) <=> (~((~v141(constB166)) | (~v143(constB166)))))),
% 15.38/10.55 inference(rewrite,[status(thm)],[])).
% 15.38/10.55 tff(14271,plain,
% 15.38/10.55 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB166) <=> (~((~v143(constB166)) | (~v141(constB166)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB166) <=> (~((~v141(constB166)) | (~v143(constB166))))))),
% 15.38/10.55 inference(monotonicity,[status(thm)],[14270])).
% 15.38/10.55 tff(14272,plain,
% 15.38/10.55 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB166) <=> (~((~v143(constB166)) | (~v141(constB166)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB166) <=> (~((~v141(constB166)) | (~v143(constB166))))))),
% 15.38/10.55 inference(transitivity,[status(thm)],[14271, 14269])).
% 15.38/10.55 tff(14273,plain,
% 15.38/10.55 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB166) <=> (~((~v143(constB166)) | (~v141(constB166)))))),
% 15.38/10.55 inference(quant_inst,[status(thm)],[])).
% 15.38/10.55 tff(14274,plain,
% 15.38/10.55 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB166) <=> (~((~v141(constB166)) | (~v143(constB166)))))),
% 15.38/10.55 inference(modus_ponens,[status(thm)],[14273, 14272])).
% 15.38/10.55 tff(14275,plain,
% 15.38/10.55 (v155(constB166) <=> (~((~v141(constB166)) | (~v143(constB166))))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14274, 113])).
% 15.38/10.55 tff(14276,plain,
% 15.38/10.55 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))),
% 15.38/10.55 inference(quant_inst,[status(thm)],[])).
% 15.38/10.55 tff(14277,plain,
% 15.38/10.55 (v141(constB166) <=> (~((~v39(constB166)) | (~v9(constB166))))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14276, 130])).
% 15.38/10.55 tff(14278,plain,
% 15.38/10.55 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB166)) <=> v1(constB166))),
% 15.38/10.55 inference(quant_inst,[status(thm)],[])).
% 15.38/10.55 tff(14279,plain,
% 15.38/10.55 ((~v39(constB166)) <=> v1(constB166)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14278, 139])).
% 15.38/10.55 tff(14280,plain,
% 15.38/10.55 (v1(constB166) <=> v1(constB166)),
% 15.38/10.55 inference(rewrite,[status(thm)],[])).
% 15.38/10.55 tff(14281,axiom,(v1(constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_166')).
% 15.38/10.55 tff(14282,plain,
% 15.38/10.55 (v1(constB166)),
% 15.38/10.55 inference(modus_ponens,[status(thm)],[14281, 14280])).
% 15.38/10.55 tff(14283,plain,
% 15.38/10.55 ((~((~v39(constB166)) <=> v1(constB166))) | (~v39(constB166)) | (~v1(constB166))),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14284,plain,
% 15.38/10.55 ((~((~v39(constB166)) <=> v1(constB166))) | (~v39(constB166))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14283, 14282])).
% 15.38/10.55 tff(14285,plain,
% 15.38/10.55 (~v39(constB166)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14284, 14279])).
% 15.38/10.55 tff(14286,plain,
% 15.38/10.55 (((~v39(constB166)) | (~v9(constB166))) | v39(constB166)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14287,plain,
% 15.38/10.55 ((~v39(constB166)) | (~v9(constB166))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14286, 14285])).
% 15.38/10.55 tff(14288,plain,
% 15.38/10.55 ((~(v141(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))) | (~v141(constB166)) | (~((~v39(constB166)) | (~v9(constB166))))),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14289,plain,
% 15.38/10.55 ((~(v141(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))) | (~v141(constB166))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14288, 14287])).
% 15.38/10.55 tff(14290,plain,
% 15.38/10.55 (~v141(constB166)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14289, 14277])).
% 15.38/10.55 tff(14291,plain,
% 15.38/10.55 (((~v141(constB166)) | (~v143(constB166))) | v141(constB166)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14292,plain,
% 15.38/10.55 ((~v141(constB166)) | (~v143(constB166))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14291, 14290])).
% 15.38/10.55 tff(14293,plain,
% 15.38/10.55 ((~(v155(constB166) <=> (~((~v141(constB166)) | (~v143(constB166)))))) | (~v155(constB166)) | (~((~v141(constB166)) | (~v143(constB166))))),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14294,plain,
% 15.38/10.55 ((~(v155(constB166) <=> (~((~v141(constB166)) | (~v143(constB166)))))) | (~v155(constB166))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14293, 14292])).
% 15.38/10.55 tff(14295,plain,
% 15.38/10.55 (~v155(constB166)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14294, 14275])).
% 15.38/10.55 tff(14296,plain,
% 15.38/10.55 (((~v130(constB166)) | (~v155(constB166))) | v155(constB166)),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14297,plain,
% 15.38/10.55 ((~v130(constB166)) | (~v155(constB166))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14296, 14295])).
% 15.38/10.55 tff(14298,plain,
% 15.38/10.55 ((~(v164(constB166) <=> (~((~v130(constB166)) | (~v155(constB166)))))) | (~v164(constB166)) | (~((~v130(constB166)) | (~v155(constB166))))),
% 15.38/10.55 inference(tautology,[status(thm)],[])).
% 15.38/10.55 tff(14299,plain,
% 15.38/10.55 (~v164(constB166)),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14298, 14297, 14268])).
% 15.38/10.55 tff(14300,plain,
% 15.38/10.55 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB166) <=> (~((~v128(constB166)) | (~v139(constB166)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB166) <=> (~((~v128(constB166)) | (~v139(constB166))))))),
% 15.38/10.55 inference(rewrite,[status(thm)],[])).
% 15.38/10.55 tff(14301,plain,
% 15.38/10.55 ((v163(constB166) <=> (~((~v139(constB166)) | (~v128(constB166))))) <=> (v163(constB166) <=> (~((~v128(constB166)) | (~v139(constB166)))))),
% 15.38/10.55 inference(rewrite,[status(thm)],[])).
% 15.38/10.55 tff(14302,plain,
% 15.38/10.55 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB166) <=> (~((~v139(constB166)) | (~v128(constB166)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB166) <=> (~((~v128(constB166)) | (~v139(constB166))))))),
% 15.38/10.55 inference(monotonicity,[status(thm)],[14301])).
% 15.38/10.55 tff(14303,plain,
% 15.38/10.55 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB166) <=> (~((~v139(constB166)) | (~v128(constB166)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB166) <=> (~((~v128(constB166)) | (~v139(constB166))))))),
% 15.38/10.55 inference(transitivity,[status(thm)],[14302, 14300])).
% 15.38/10.55 tff(14304,plain,
% 15.38/10.55 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB166) <=> (~((~v139(constB166)) | (~v128(constB166)))))),
% 15.38/10.55 inference(quant_inst,[status(thm)],[])).
% 15.38/10.55 tff(14305,plain,
% 15.38/10.55 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB166) <=> (~((~v128(constB166)) | (~v139(constB166)))))),
% 15.38/10.55 inference(modus_ponens,[status(thm)],[14304, 14303])).
% 15.38/10.55 tff(14306,plain,
% 15.38/10.55 (v163(constB166) <=> (~((~v128(constB166)) | (~v139(constB166))))),
% 15.38/10.55 inference(unit_resolution,[status(thm)],[14305, 171])).
% 15.38/10.55 tff(14307,plain,
% 15.38/10.55 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB166) <=> v162(constB166))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14308,plain,
% 15.38/10.56 (v128(constB166) <=> v162(constB166)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14307, 13])).
% 15.38/10.56 tff(14309,plain,
% 15.38/10.56 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 15.38/10.56 inference(rewrite,[status(thm)],[])).
% 15.38/10.56 tff(14310,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_165')).
% 15.38/10.56 tff(14311,plain,
% 15.38/10.56 (nextState(constB165, constB166)),
% 15.38/10.56 inference(modus_ponens,[status(thm)],[14310, 14309])).
% 15.38/10.56 tff(14312,plain,
% 15.38/10.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB165, constB166)) | (v162(constB166) <=> v160(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB165, constB166)) | (v162(constB166) <=> v160(constB165)))),
% 15.38/10.56 inference(rewrite,[status(thm)],[])).
% 15.38/10.56 tff(14313,plain,
% 15.38/10.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB165, constB166)) | (v162(constB166) <=> v160(constB165)))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14314,plain,
% 15.38/10.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB165, constB166)) | (v162(constB166) <=> v160(constB165))),
% 15.38/10.56 inference(modus_ponens,[status(thm)],[14313, 14312])).
% 15.38/10.56 tff(14315,plain,
% 15.38/10.56 (v162(constB166) <=> v160(constB165)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14314, 14311, 70])).
% 15.38/10.56 tff(14316,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB165) <=> (v163(constB165) | v164(constB165)))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14317,plain,
% 15.38/10.56 (v160(constB165) <=> (v163(constB165) | v164(constB165))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14316, 84])).
% 15.38/10.56 tff(14318,plain,
% 15.38/10.56 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB165) <=> (~((~v128(constB165)) | (~v139(constB165)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB165) <=> (~((~v128(constB165)) | (~v139(constB165))))))),
% 15.38/10.56 inference(rewrite,[status(thm)],[])).
% 15.38/10.56 tff(14319,plain,
% 15.38/10.56 ((v163(constB165) <=> (~((~v139(constB165)) | (~v128(constB165))))) <=> (v163(constB165) <=> (~((~v128(constB165)) | (~v139(constB165)))))),
% 15.38/10.56 inference(rewrite,[status(thm)],[])).
% 15.38/10.56 tff(14320,plain,
% 15.38/10.56 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB165) <=> (~((~v139(constB165)) | (~v128(constB165)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB165) <=> (~((~v128(constB165)) | (~v139(constB165))))))),
% 15.38/10.56 inference(monotonicity,[status(thm)],[14319])).
% 15.38/10.56 tff(14321,plain,
% 15.38/10.56 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB165) <=> (~((~v139(constB165)) | (~v128(constB165)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB165) <=> (~((~v128(constB165)) | (~v139(constB165))))))),
% 15.38/10.56 inference(transitivity,[status(thm)],[14320, 14318])).
% 15.38/10.56 tff(14322,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB165) <=> (~((~v139(constB165)) | (~v128(constB165)))))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14323,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB165) <=> (~((~v128(constB165)) | (~v139(constB165)))))),
% 15.38/10.56 inference(modus_ponens,[status(thm)],[14322, 14321])).
% 15.38/10.56 tff(14324,plain,
% 15.38/10.56 (v163(constB165) <=> (~((~v128(constB165)) | (~v139(constB165))))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14323, 171])).
% 15.38/10.56 tff(14325,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB165)) <=> v140(constB165))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14326,plain,
% 15.38/10.56 ((~v139(constB165)) <=> v140(constB165)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14325, 203])).
% 15.38/10.56 tff(14327,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB165) <=> (v141(constB165) | v26(constB165)))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14328,plain,
% 15.38/10.56 (v140(constB165) <=> (v141(constB165) | v26(constB165))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14327, 212])).
% 15.38/10.56 tff(14329,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB165) <=> (~((~v39(constB165)) | (~v9(constB165)))))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14330,plain,
% 15.38/10.56 (v141(constB165) <=> (~((~v39(constB165)) | (~v9(constB165))))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14329, 130])).
% 15.38/10.56 tff(14331,plain,
% 15.38/10.56 (((~![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)))),
% 15.38/10.56 inference(rewrite,[status(thm)],[])).
% 15.38/10.56 tff(14332,plain,
% 15.38/10.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165)))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14333,plain,
% 15.38/10.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165))),
% 15.38/10.56 inference(modus_ponens,[status(thm)],[14332, 14331])).
% 15.38/10.56 tff(14334,plain,
% 15.38/10.56 (v13(constB166) <=> v9(constB165)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14333, 14311, 226])).
% 15.38/10.56 tff(14335,plain,
% 15.38/10.56 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB166) <=> v13(constB166))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14336,plain,
% 15.38/10.56 (v6(constB166) <=> v13(constB166)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14335, 240])).
% 15.38/10.56 tff(14337,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB166)) <=> v6(constB166))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14338,plain,
% 15.38/10.56 ((~v21(constB166)) <=> v6(constB166)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14337, 249])).
% 15.38/10.56 tff(14339,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB166) <=> (v20(constB166) | v21(constB166)))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14340,plain,
% 15.38/10.56 (v19(constB166) <=> (v20(constB166) | v21(constB166))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14339, 258])).
% 15.38/10.56 tff(14341,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166)))))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14342,plain,
% 15.38/10.56 (v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166))))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14341, 270])).
% 15.38/10.56 tff(14343,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB166)) <=> v18(constB166))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14344,plain,
% 15.38/10.56 ((~v4(constB166)) <=> v18(constB166)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14343, 279])).
% 15.38/10.56 tff(14345,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB166)),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14346,plain,
% 15.38/10.56 (v4(constB166)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14345, 288])).
% 15.38/10.56 tff(14347,plain,
% 15.38/10.56 ((~((~v4(constB166)) <=> v18(constB166))) | (~v4(constB166)) | (~v18(constB166))),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14348,plain,
% 15.38/10.56 (~v18(constB166)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14347, 14346, 14344])).
% 15.38/10.56 tff(14349,plain,
% 15.38/10.56 ((~(v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166)))))) | v18(constB166) | ((~v19(constB166)) | (~v22(constB166)))),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14350,plain,
% 15.38/10.56 ((~v19(constB166)) | (~v22(constB166))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14349, 14348, 14342])).
% 15.38/10.56 tff(14351,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB166) <=> (v1(constB166) | v6(constB166)))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14352,plain,
% 15.38/10.56 (v22(constB166) <=> (v1(constB166) | v6(constB166))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14351, 301])).
% 15.38/10.56 tff(14353,plain,
% 15.38/10.56 ((v1(constB166) | v6(constB166)) | (~v1(constB166))),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14354,plain,
% 15.38/10.56 (v1(constB166) | v6(constB166)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14353, 14282])).
% 15.38/10.56 tff(14355,plain,
% 15.38/10.56 ((~(v22(constB166) <=> (v1(constB166) | v6(constB166)))) | v22(constB166) | (~(v1(constB166) | v6(constB166)))),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14356,plain,
% 15.38/10.56 ((~(v22(constB166) <=> (v1(constB166) | v6(constB166)))) | v22(constB166)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14355, 14354])).
% 15.38/10.56 tff(14357,plain,
% 15.38/10.56 (v22(constB166)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14356, 14352])).
% 15.38/10.56 tff(14358,plain,
% 15.38/10.56 ((~((~v19(constB166)) | (~v22(constB166)))) | (~v19(constB166)) | (~v22(constB166))),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14359,plain,
% 15.38/10.56 ((~((~v19(constB166)) | (~v22(constB166)))) | (~v19(constB166))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14358, 14357])).
% 15.38/10.56 tff(14360,plain,
% 15.38/10.56 (~v19(constB166)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14359, 14350])).
% 15.38/10.56 tff(14361,plain,
% 15.38/10.56 ((~(v19(constB166) <=> (v20(constB166) | v21(constB166)))) | v19(constB166) | (~(v20(constB166) | v21(constB166)))),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14362,plain,
% 15.38/10.56 (~(v20(constB166) | v21(constB166))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14361, 14360, 14340])).
% 15.38/10.56 tff(14363,plain,
% 15.38/10.56 ((v20(constB166) | v21(constB166)) | (~v21(constB166))),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14364,plain,
% 15.38/10.56 (~v21(constB166)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14363, 14362])).
% 15.38/10.56 tff(14365,plain,
% 15.38/10.56 ((~((~v21(constB166)) <=> v6(constB166))) | v21(constB166) | v6(constB166)),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14366,plain,
% 15.38/10.56 (v6(constB166)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14365, 14364, 14338])).
% 15.38/10.56 tff(14367,plain,
% 15.38/10.56 ((~(v6(constB166) <=> v13(constB166))) | (~v6(constB166)) | v13(constB166)),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14368,plain,
% 15.38/10.56 (v13(constB166)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14367, 14366, 14336])).
% 15.38/10.56 tff(14369,plain,
% 15.38/10.56 ((~(v13(constB166) <=> v9(constB165))) | (~v13(constB166)) | v9(constB165)),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14370,plain,
% 15.38/10.56 (v9(constB165)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14369, 14368, 14334])).
% 15.38/10.56 tff(14371,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB165)) <=> v1(constB165))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14372,plain,
% 15.38/10.56 ((~v39(constB165)) <=> v1(constB165)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14371, 139])).
% 15.38/10.56 tff(14373,plain,
% 15.38/10.56 ((~v1(constB165)) <=> (~v1(constB165))),
% 15.38/10.56 inference(rewrite,[status(thm)],[])).
% 15.38/10.56 tff(14374,axiom,(~v1(constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_165')).
% 15.38/10.56 tff(14375,plain,
% 15.38/10.56 (~v1(constB165)),
% 15.38/10.56 inference(modus_ponens,[status(thm)],[14374, 14373])).
% 15.38/10.56 tff(14376,plain,
% 15.38/10.56 ((~((~v39(constB165)) <=> v1(constB165))) | v39(constB165) | v1(constB165)),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14377,plain,
% 15.38/10.56 ((~((~v39(constB165)) <=> v1(constB165))) | v39(constB165)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14376, 14375])).
% 15.38/10.56 tff(14378,plain,
% 15.38/10.56 (v39(constB165)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14377, 14372])).
% 15.38/10.56 tff(14379,plain,
% 15.38/10.56 ((~((~v39(constB165)) | (~v9(constB165)))) | (~v39(constB165)) | (~v9(constB165))),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14380,plain,
% 15.38/10.56 ((~((~v39(constB165)) | (~v9(constB165)))) | (~v9(constB165))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14379, 14378])).
% 15.38/10.56 tff(14381,plain,
% 15.38/10.56 (~((~v39(constB165)) | (~v9(constB165)))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14380, 14370])).
% 15.38/10.56 tff(14382,plain,
% 15.38/10.56 ((~(v141(constB165) <=> (~((~v39(constB165)) | (~v9(constB165)))))) | v141(constB165) | ((~v39(constB165)) | (~v9(constB165)))),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14383,plain,
% 15.38/10.56 (v141(constB165)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14382, 14381, 14330])).
% 15.38/10.56 tff(14384,plain,
% 15.38/10.56 ((v141(constB165) | v26(constB165)) | (~v141(constB165))),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14385,plain,
% 15.38/10.56 (v141(constB165) | v26(constB165)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14384, 14383])).
% 15.38/10.56 tff(14386,plain,
% 15.38/10.56 ((~(v140(constB165) <=> (v141(constB165) | v26(constB165)))) | v140(constB165) | (~(v141(constB165) | v26(constB165)))),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14387,plain,
% 15.38/10.56 (v140(constB165)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14386, 14385, 14328])).
% 15.38/10.56 tff(14388,plain,
% 15.38/10.56 ((~((~v139(constB165)) <=> v140(constB165))) | (~v139(constB165)) | (~v140(constB165))),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14389,plain,
% 15.38/10.56 (~v139(constB165)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14388, 14387, 14326])).
% 15.38/10.56 tff(14390,plain,
% 15.38/10.56 (((~v128(constB165)) | (~v139(constB165))) | v139(constB165)),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14391,plain,
% 15.38/10.56 ((~v128(constB165)) | (~v139(constB165))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14390, 14389])).
% 15.38/10.56 tff(14392,plain,
% 15.38/10.56 ((~(v163(constB165) <=> (~((~v128(constB165)) | (~v139(constB165)))))) | (~v163(constB165)) | (~((~v128(constB165)) | (~v139(constB165))))),
% 15.38/10.56 inference(tautology,[status(thm)],[])).
% 15.38/10.56 tff(14393,plain,
% 15.38/10.56 (~v163(constB165)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14392, 14391, 14324])).
% 15.38/10.56 tff(14394,plain,
% 15.38/10.56 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB165) <=> (~((~v130(constB165)) | (~v155(constB165)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB165) <=> (~((~v130(constB165)) | (~v155(constB165))))))),
% 15.38/10.56 inference(rewrite,[status(thm)],[])).
% 15.38/10.56 tff(14395,plain,
% 15.38/10.56 ((v164(constB165) <=> (~((~v155(constB165)) | (~v130(constB165))))) <=> (v164(constB165) <=> (~((~v130(constB165)) | (~v155(constB165)))))),
% 15.38/10.56 inference(rewrite,[status(thm)],[])).
% 15.38/10.56 tff(14396,plain,
% 15.38/10.56 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB165) <=> (~((~v155(constB165)) | (~v130(constB165)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB165) <=> (~((~v130(constB165)) | (~v155(constB165))))))),
% 15.38/10.56 inference(monotonicity,[status(thm)],[14395])).
% 15.38/10.56 tff(14397,plain,
% 15.38/10.56 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB165) <=> (~((~v155(constB165)) | (~v130(constB165)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB165) <=> (~((~v130(constB165)) | (~v155(constB165))))))),
% 15.38/10.56 inference(transitivity,[status(thm)],[14396, 14394])).
% 15.38/10.56 tff(14398,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB165) <=> (~((~v155(constB165)) | (~v130(constB165)))))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14399,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB165) <=> (~((~v130(constB165)) | (~v155(constB165)))))),
% 15.38/10.56 inference(modus_ponens,[status(thm)],[14398, 14397])).
% 15.38/10.56 tff(14400,plain,
% 15.38/10.56 (v164(constB165) <=> (~((~v130(constB165)) | (~v155(constB165))))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14399, 96])).
% 15.38/10.56 tff(14401,plain,
% 15.38/10.56 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB165) <=> v152(constB165))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14402,plain,
% 15.38/10.56 (v130(constB165) <=> v152(constB165)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14401, 361])).
% 15.38/10.56 tff(14403,plain,
% 15.38/10.56 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 15.38/10.56 inference(rewrite,[status(thm)],[])).
% 15.38/10.56 tff(14404,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_164')).
% 15.38/10.56 tff(14405,plain,
% 15.38/10.56 (nextState(constB164, constB165)),
% 15.38/10.56 inference(modus_ponens,[status(thm)],[14404, 14403])).
% 15.38/10.56 tff(14406,plain,
% 15.38/10.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB164, constB165)) | (v152(constB165) <=> v150(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB164, constB165)) | (v152(constB165) <=> v150(constB164)))),
% 15.38/10.56 inference(rewrite,[status(thm)],[])).
% 15.38/10.56 tff(14407,plain,
% 15.38/10.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB164, constB165)) | (v152(constB165) <=> v150(constB164)))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14408,plain,
% 15.38/10.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB164, constB165)) | (v152(constB165) <=> v150(constB164))),
% 15.38/10.56 inference(modus_ponens,[status(thm)],[14407, 14406])).
% 15.38/10.56 tff(14409,plain,
% 15.38/10.56 (v152(constB165) <=> v150(constB164)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14408, 14405, 373])).
% 15.38/10.56 tff(14410,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB164) <=> (v153(constB164) | v154(constB164)))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14411,plain,
% 15.38/10.56 (v150(constB164) <=> (v153(constB164) | v154(constB164))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14410, 387])).
% 15.38/10.56 tff(14412,plain,
% 15.38/10.56 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB164) <=> (~((~v132(constB164)) | (~v155(constB164)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB164) <=> (~((~v132(constB164)) | (~v155(constB164))))))),
% 15.38/10.56 inference(rewrite,[status(thm)],[])).
% 15.38/10.56 tff(14413,plain,
% 15.38/10.56 ((v154(constB164) <=> (~((~v155(constB164)) | (~v132(constB164))))) <=> (v154(constB164) <=> (~((~v132(constB164)) | (~v155(constB164)))))),
% 15.38/10.56 inference(rewrite,[status(thm)],[])).
% 15.38/10.56 tff(14414,plain,
% 15.38/10.56 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB164) <=> (~((~v155(constB164)) | (~v132(constB164)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB164) <=> (~((~v132(constB164)) | (~v155(constB164))))))),
% 15.38/10.56 inference(monotonicity,[status(thm)],[14413])).
% 15.38/10.56 tff(14415,plain,
% 15.38/10.56 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB164) <=> (~((~v155(constB164)) | (~v132(constB164)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB164) <=> (~((~v132(constB164)) | (~v155(constB164))))))),
% 15.38/10.56 inference(transitivity,[status(thm)],[14414, 14412])).
% 15.38/10.56 tff(14416,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB164) <=> (~((~v155(constB164)) | (~v132(constB164)))))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14417,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB164) <=> (~((~v132(constB164)) | (~v155(constB164)))))),
% 15.38/10.56 inference(modus_ponens,[status(thm)],[14416, 14415])).
% 15.38/10.56 tff(14418,plain,
% 15.38/10.56 (v154(constB164) <=> (~((~v132(constB164)) | (~v155(constB164))))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14417, 399])).
% 15.38/10.56 tff(14419,plain,
% 15.38/10.56 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB164) <=> (~((~v141(constB164)) | (~v143(constB164)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB164) <=> (~((~v141(constB164)) | (~v143(constB164))))))),
% 15.38/10.56 inference(rewrite,[status(thm)],[])).
% 15.38/10.56 tff(14420,plain,
% 15.38/10.56 ((v155(constB164) <=> (~((~v143(constB164)) | (~v141(constB164))))) <=> (v155(constB164) <=> (~((~v141(constB164)) | (~v143(constB164)))))),
% 15.38/10.56 inference(rewrite,[status(thm)],[])).
% 15.38/10.56 tff(14421,plain,
% 15.38/10.56 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB164) <=> (~((~v143(constB164)) | (~v141(constB164)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB164) <=> (~((~v141(constB164)) | (~v143(constB164))))))),
% 15.38/10.56 inference(monotonicity,[status(thm)],[14420])).
% 15.38/10.56 tff(14422,plain,
% 15.38/10.56 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB164) <=> (~((~v143(constB164)) | (~v141(constB164)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB164) <=> (~((~v141(constB164)) | (~v143(constB164))))))),
% 15.38/10.56 inference(transitivity,[status(thm)],[14421, 14419])).
% 15.38/10.56 tff(14423,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB164) <=> (~((~v143(constB164)) | (~v141(constB164)))))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14424,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB164) <=> (~((~v141(constB164)) | (~v143(constB164)))))),
% 15.38/10.56 inference(modus_ponens,[status(thm)],[14423, 14422])).
% 15.38/10.56 tff(14425,plain,
% 15.38/10.56 (v155(constB164) <=> (~((~v141(constB164)) | (~v143(constB164))))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14424, 113])).
% 15.38/10.56 tff(14426,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14427,plain,
% 15.38/10.56 (v141(constB164) <=> (~((~v39(constB164)) | (~v9(constB164))))),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14426, 130])).
% 15.38/10.56 tff(14428,plain,
% 15.38/10.56 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB164)) <=> v1(constB164))),
% 15.38/10.56 inference(quant_inst,[status(thm)],[])).
% 15.38/10.56 tff(14429,plain,
% 15.38/10.56 ((~v39(constB164)) <=> v1(constB164)),
% 15.38/10.56 inference(unit_resolution,[status(thm)],[14428, 139])).
% 15.38/10.56 tff(14430,plain,
% 15.38/10.56 (v1(constB164) <=> v1(constB164)),
% 15.38/10.56 inference(rewrite,[status(thm)],[])).
% 15.38/10.56 tff(14431,axiom,(v1(constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_164')).
% 15.38/10.56 tff(14432,plain,
% 15.38/10.56 (v1(constB164)),
% 15.38/10.56 inference(modus_ponens,[status(thm)],[14431, 14430])).
% 15.38/10.57 tff(14433,plain,
% 15.38/10.57 ((~((~v39(constB164)) <=> v1(constB164))) | (~v39(constB164)) | (~v1(constB164))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14434,plain,
% 15.38/10.57 ((~((~v39(constB164)) <=> v1(constB164))) | (~v39(constB164))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14433, 14432])).
% 15.38/10.57 tff(14435,plain,
% 15.38/10.57 (~v39(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14434, 14429])).
% 15.38/10.57 tff(14436,plain,
% 15.38/10.57 (((~v39(constB164)) | (~v9(constB164))) | v39(constB164)),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14437,plain,
% 15.38/10.57 ((~v39(constB164)) | (~v9(constB164))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14436, 14435])).
% 15.38/10.57 tff(14438,plain,
% 15.38/10.57 ((~(v141(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))) | (~v141(constB164)) | (~((~v39(constB164)) | (~v9(constB164))))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14439,plain,
% 15.38/10.57 ((~(v141(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))) | (~v141(constB164))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14438, 14437])).
% 15.38/10.57 tff(14440,plain,
% 15.38/10.57 (~v141(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14439, 14427])).
% 15.38/10.57 tff(14441,plain,
% 15.38/10.57 (((~v141(constB164)) | (~v143(constB164))) | v141(constB164)),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14442,plain,
% 15.38/10.57 ((~v141(constB164)) | (~v143(constB164))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14441, 14440])).
% 15.38/10.57 tff(14443,plain,
% 15.38/10.57 ((~(v155(constB164) <=> (~((~v141(constB164)) | (~v143(constB164)))))) | (~v155(constB164)) | (~((~v141(constB164)) | (~v143(constB164))))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14444,plain,
% 15.38/10.57 ((~(v155(constB164) <=> (~((~v141(constB164)) | (~v143(constB164)))))) | (~v155(constB164))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14443, 14442])).
% 15.38/10.57 tff(14445,plain,
% 15.38/10.57 (~v155(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14444, 14425])).
% 15.38/10.57 tff(14446,plain,
% 15.38/10.57 (((~v132(constB164)) | (~v155(constB164))) | v155(constB164)),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14447,plain,
% 15.38/10.57 ((~v132(constB164)) | (~v155(constB164))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14446, 14445])).
% 15.38/10.57 tff(14448,plain,
% 15.38/10.57 ((~(v154(constB164) <=> (~((~v132(constB164)) | (~v155(constB164)))))) | (~v154(constB164)) | (~((~v132(constB164)) | (~v155(constB164))))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14449,plain,
% 15.38/10.57 (~v154(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14448, 14447, 14418])).
% 15.38/10.57 tff(14450,plain,
% 15.38/10.57 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB164) <=> (~((~v130(constB164)) | (~v139(constB164)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB164) <=> (~((~v130(constB164)) | (~v139(constB164))))))),
% 15.38/10.57 inference(rewrite,[status(thm)],[])).
% 15.38/10.57 tff(14451,plain,
% 15.38/10.57 ((v153(constB164) <=> (~((~v139(constB164)) | (~v130(constB164))))) <=> (v153(constB164) <=> (~((~v130(constB164)) | (~v139(constB164)))))),
% 15.38/10.57 inference(rewrite,[status(thm)],[])).
% 15.38/10.57 tff(14452,plain,
% 15.38/10.57 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB164) <=> (~((~v139(constB164)) | (~v130(constB164)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB164) <=> (~((~v130(constB164)) | (~v139(constB164))))))),
% 15.38/10.57 inference(monotonicity,[status(thm)],[14451])).
% 15.38/10.57 tff(14453,plain,
% 15.38/10.57 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB164) <=> (~((~v139(constB164)) | (~v130(constB164)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB164) <=> (~((~v130(constB164)) | (~v139(constB164))))))),
% 15.38/10.57 inference(transitivity,[status(thm)],[14452, 14450])).
% 15.38/10.57 tff(14454,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB164) <=> (~((~v139(constB164)) | (~v130(constB164)))))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14455,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB164) <=> (~((~v130(constB164)) | (~v139(constB164)))))),
% 15.38/10.57 inference(modus_ponens,[status(thm)],[14454, 14453])).
% 15.38/10.57 tff(14456,plain,
% 15.38/10.57 (v153(constB164) <=> (~((~v130(constB164)) | (~v139(constB164))))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14455, 447])).
% 15.38/10.57 tff(14457,plain,
% 15.38/10.57 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB164) <=> v152(constB164))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14458,plain,
% 15.38/10.57 (v130(constB164) <=> v152(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14457, 361])).
% 15.38/10.57 tff(14459,plain,
% 15.38/10.57 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 15.38/10.57 inference(rewrite,[status(thm)],[])).
% 15.38/10.57 tff(14460,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_163')).
% 15.38/10.57 tff(14461,plain,
% 15.38/10.57 (nextState(constB163, constB164)),
% 15.38/10.57 inference(modus_ponens,[status(thm)],[14460, 14459])).
% 15.38/10.57 tff(14462,plain,
% 15.38/10.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB163, constB164)) | (v152(constB164) <=> v150(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB163, constB164)) | (v152(constB164) <=> v150(constB163)))),
% 15.38/10.57 inference(rewrite,[status(thm)],[])).
% 15.38/10.57 tff(14463,plain,
% 15.38/10.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB163, constB164)) | (v152(constB164) <=> v150(constB163)))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14464,plain,
% 15.38/10.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB163, constB164)) | (v152(constB164) <=> v150(constB163))),
% 15.38/10.57 inference(modus_ponens,[status(thm)],[14463, 14462])).
% 15.38/10.57 tff(14465,plain,
% 15.38/10.57 (v152(constB164) <=> v150(constB163)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14464, 14461, 373])).
% 15.38/10.57 tff(14466,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB163) <=> (v153(constB163) | v154(constB163)))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14467,plain,
% 15.38/10.57 (v150(constB163) <=> (v153(constB163) | v154(constB163))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14466, 387])).
% 15.38/10.57 tff(14468,plain,
% 15.38/10.57 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB163) <=> (~((~v130(constB163)) | (~v139(constB163)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB163) <=> (~((~v130(constB163)) | (~v139(constB163))))))),
% 15.38/10.57 inference(rewrite,[status(thm)],[])).
% 15.38/10.57 tff(14469,plain,
% 15.38/10.57 ((v153(constB163) <=> (~((~v139(constB163)) | (~v130(constB163))))) <=> (v153(constB163) <=> (~((~v130(constB163)) | (~v139(constB163)))))),
% 15.38/10.57 inference(rewrite,[status(thm)],[])).
% 15.38/10.57 tff(14470,plain,
% 15.38/10.57 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB163) <=> (~((~v139(constB163)) | (~v130(constB163)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB163) <=> (~((~v130(constB163)) | (~v139(constB163))))))),
% 15.38/10.57 inference(monotonicity,[status(thm)],[14469])).
% 15.38/10.57 tff(14471,plain,
% 15.38/10.57 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB163) <=> (~((~v139(constB163)) | (~v130(constB163)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB163) <=> (~((~v130(constB163)) | (~v139(constB163))))))),
% 15.38/10.57 inference(transitivity,[status(thm)],[14470, 14468])).
% 15.38/10.57 tff(14472,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB163) <=> (~((~v139(constB163)) | (~v130(constB163)))))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14473,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB163) <=> (~((~v130(constB163)) | (~v139(constB163)))))),
% 15.38/10.57 inference(modus_ponens,[status(thm)],[14472, 14471])).
% 15.38/10.57 tff(14474,plain,
% 15.38/10.57 (v153(constB163) <=> (~((~v130(constB163)) | (~v139(constB163))))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14473, 447])).
% 15.38/10.57 tff(14475,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB163)) <=> v140(constB163))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14476,plain,
% 15.38/10.57 ((~v139(constB163)) <=> v140(constB163)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14475, 203])).
% 15.38/10.57 tff(14477,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB163) <=> (v141(constB163) | v26(constB163)))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14478,plain,
% 15.38/10.57 (v140(constB163) <=> (v141(constB163) | v26(constB163))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14477, 212])).
% 15.38/10.57 tff(14479,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB163) <=> (~((~v39(constB163)) | (~v9(constB163)))))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14480,plain,
% 15.38/10.57 (v141(constB163) <=> (~((~v39(constB163)) | (~v9(constB163))))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14479, 130])).
% 15.38/10.57 tff(14481,plain,
% 15.38/10.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB163, constB164)) | (v13(constB164) <=> v9(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB163, constB164)) | (v13(constB164) <=> v9(constB163)))),
% 15.38/10.57 inference(rewrite,[status(thm)],[])).
% 15.38/10.57 tff(14482,plain,
% 15.38/10.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB163, constB164)) | (v13(constB164) <=> v9(constB163)))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14483,plain,
% 15.38/10.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB163, constB164)) | (v13(constB164) <=> v9(constB163))),
% 15.38/10.57 inference(modus_ponens,[status(thm)],[14482, 14481])).
% 15.38/10.57 tff(14484,plain,
% 15.38/10.57 (v13(constB164) <=> v9(constB163)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14483, 14461, 226])).
% 15.38/10.57 tff(14485,plain,
% 15.38/10.57 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB164) <=> v13(constB164))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14486,plain,
% 15.38/10.57 (v6(constB164) <=> v13(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14485, 240])).
% 15.38/10.57 tff(14487,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB164)) <=> v6(constB164))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14488,plain,
% 15.38/10.57 ((~v21(constB164)) <=> v6(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14487, 249])).
% 15.38/10.57 tff(14489,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB164) <=> (v20(constB164) | v21(constB164)))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14490,plain,
% 15.38/10.57 (v19(constB164) <=> (v20(constB164) | v21(constB164))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14489, 258])).
% 15.38/10.57 tff(14491,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB164) <=> (~((~v19(constB164)) | (~v22(constB164)))))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14492,plain,
% 15.38/10.57 (v18(constB164) <=> (~((~v19(constB164)) | (~v22(constB164))))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14491, 270])).
% 15.38/10.57 tff(14493,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB164)) <=> v18(constB164))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14494,plain,
% 15.38/10.57 ((~v4(constB164)) <=> v18(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14493, 279])).
% 15.38/10.57 tff(14495,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB164)),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14496,plain,
% 15.38/10.57 (v4(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14495, 288])).
% 15.38/10.57 tff(14497,plain,
% 15.38/10.57 ((~((~v4(constB164)) <=> v18(constB164))) | (~v4(constB164)) | (~v18(constB164))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14498,plain,
% 15.38/10.57 (~v18(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14497, 14496, 14494])).
% 15.38/10.57 tff(14499,plain,
% 15.38/10.57 ((~(v18(constB164) <=> (~((~v19(constB164)) | (~v22(constB164)))))) | v18(constB164) | ((~v19(constB164)) | (~v22(constB164)))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14500,plain,
% 15.38/10.57 ((~v19(constB164)) | (~v22(constB164))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14499, 14498, 14492])).
% 15.38/10.57 tff(14501,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB164) <=> (v1(constB164) | v6(constB164)))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14502,plain,
% 15.38/10.57 (v22(constB164) <=> (v1(constB164) | v6(constB164))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14501, 301])).
% 15.38/10.57 tff(14503,plain,
% 15.38/10.57 ((v1(constB164) | v6(constB164)) | (~v1(constB164))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14504,plain,
% 15.38/10.57 (v1(constB164) | v6(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14503, 14432])).
% 15.38/10.57 tff(14505,plain,
% 15.38/10.57 ((~(v22(constB164) <=> (v1(constB164) | v6(constB164)))) | v22(constB164) | (~(v1(constB164) | v6(constB164)))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14506,plain,
% 15.38/10.57 ((~(v22(constB164) <=> (v1(constB164) | v6(constB164)))) | v22(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14505, 14504])).
% 15.38/10.57 tff(14507,plain,
% 15.38/10.57 (v22(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14506, 14502])).
% 15.38/10.57 tff(14508,plain,
% 15.38/10.57 ((~((~v19(constB164)) | (~v22(constB164)))) | (~v19(constB164)) | (~v22(constB164))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14509,plain,
% 15.38/10.57 ((~((~v19(constB164)) | (~v22(constB164)))) | (~v19(constB164))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14508, 14507])).
% 15.38/10.57 tff(14510,plain,
% 15.38/10.57 (~v19(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14509, 14500])).
% 15.38/10.57 tff(14511,plain,
% 15.38/10.57 ((~(v19(constB164) <=> (v20(constB164) | v21(constB164)))) | v19(constB164) | (~(v20(constB164) | v21(constB164)))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14512,plain,
% 15.38/10.57 (~(v20(constB164) | v21(constB164))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14511, 14510, 14490])).
% 15.38/10.57 tff(14513,plain,
% 15.38/10.57 ((v20(constB164) | v21(constB164)) | (~v21(constB164))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14514,plain,
% 15.38/10.57 (~v21(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14513, 14512])).
% 15.38/10.57 tff(14515,plain,
% 15.38/10.57 ((~((~v21(constB164)) <=> v6(constB164))) | v21(constB164) | v6(constB164)),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14516,plain,
% 15.38/10.57 (v6(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14515, 14514, 14488])).
% 15.38/10.57 tff(14517,plain,
% 15.38/10.57 ((~(v6(constB164) <=> v13(constB164))) | (~v6(constB164)) | v13(constB164)),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14518,plain,
% 15.38/10.57 (v13(constB164)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14517, 14516, 14486])).
% 15.38/10.57 tff(14519,plain,
% 15.38/10.57 ((~(v13(constB164) <=> v9(constB163))) | (~v13(constB164)) | v9(constB163)),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14520,plain,
% 15.38/10.57 (v9(constB163)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14519, 14518, 14484])).
% 15.38/10.57 tff(14521,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB163)) <=> v1(constB163))),
% 15.38/10.57 inference(quant_inst,[status(thm)],[])).
% 15.38/10.57 tff(14522,plain,
% 15.38/10.57 ((~v39(constB163)) <=> v1(constB163)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14521, 139])).
% 15.38/10.57 tff(14523,plain,
% 15.38/10.57 ((~v1(constB163)) <=> (~v1(constB163))),
% 15.38/10.57 inference(rewrite,[status(thm)],[])).
% 15.38/10.57 tff(14524,axiom,(~v1(constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_163')).
% 15.38/10.57 tff(14525,plain,
% 15.38/10.57 (~v1(constB163)),
% 15.38/10.57 inference(modus_ponens,[status(thm)],[14524, 14523])).
% 15.38/10.57 tff(14526,plain,
% 15.38/10.57 ((~((~v39(constB163)) <=> v1(constB163))) | v39(constB163) | v1(constB163)),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14527,plain,
% 15.38/10.57 ((~((~v39(constB163)) <=> v1(constB163))) | v39(constB163)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14526, 14525])).
% 15.38/10.57 tff(14528,plain,
% 15.38/10.57 (v39(constB163)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14527, 14522])).
% 15.38/10.57 tff(14529,plain,
% 15.38/10.57 ((~((~v39(constB163)) | (~v9(constB163)))) | (~v39(constB163)) | (~v9(constB163))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14530,plain,
% 15.38/10.57 ((~((~v39(constB163)) | (~v9(constB163)))) | (~v9(constB163))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14529, 14528])).
% 15.38/10.57 tff(14531,plain,
% 15.38/10.57 (~((~v39(constB163)) | (~v9(constB163)))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14530, 14520])).
% 15.38/10.57 tff(14532,plain,
% 15.38/10.57 ((~(v141(constB163) <=> (~((~v39(constB163)) | (~v9(constB163)))))) | v141(constB163) | ((~v39(constB163)) | (~v9(constB163)))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14533,plain,
% 15.38/10.57 (v141(constB163)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14532, 14531, 14480])).
% 15.38/10.57 tff(14534,plain,
% 15.38/10.57 ((v141(constB163) | v26(constB163)) | (~v141(constB163))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14535,plain,
% 15.38/10.57 (v141(constB163) | v26(constB163)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14534, 14533])).
% 15.38/10.57 tff(14536,plain,
% 15.38/10.57 ((~(v140(constB163) <=> (v141(constB163) | v26(constB163)))) | v140(constB163) | (~(v141(constB163) | v26(constB163)))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14537,plain,
% 15.38/10.57 (v140(constB163)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14536, 14535, 14478])).
% 15.38/10.57 tff(14538,plain,
% 15.38/10.57 ((~((~v139(constB163)) <=> v140(constB163))) | (~v139(constB163)) | (~v140(constB163))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14539,plain,
% 15.38/10.57 (~v139(constB163)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14538, 14537, 14476])).
% 15.38/10.57 tff(14540,plain,
% 15.38/10.57 (((~v130(constB163)) | (~v139(constB163))) | v139(constB163)),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14541,plain,
% 15.38/10.57 ((~v130(constB163)) | (~v139(constB163))),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14540, 14539])).
% 15.38/10.57 tff(14542,plain,
% 15.38/10.57 ((~(v153(constB163) <=> (~((~v130(constB163)) | (~v139(constB163)))))) | (~v153(constB163)) | (~((~v130(constB163)) | (~v139(constB163))))),
% 15.38/10.57 inference(tautology,[status(thm)],[])).
% 15.38/10.57 tff(14543,plain,
% 15.38/10.57 (~v153(constB163)),
% 15.38/10.57 inference(unit_resolution,[status(thm)],[14542, 14541, 14474])).
% 15.38/10.57 tff(14544,plain,
% 15.38/10.57 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB163) <=> (~((~v132(constB163)) | (~v155(constB163)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB163) <=> (~((~v132(constB163)) | (~v155(constB163))))))),
% 15.38/10.57 inference(rewrite,[status(thm)],[])).
% 15.38/10.57 tff(14545,plain,
% 15.38/10.57 ((v154(constB163) <=> (~((~v155(constB163)) | (~v132(constB163))))) <=> (v154(constB163) <=> (~((~v132(constB163)) | (~v155(constB163)))))),
% 15.38/10.57 inference(rewrite,[status(thm)],[])).
% 15.38/10.57 tff(14546,plain,
% 15.38/10.57 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB163) <=> (~((~v155(constB163)) | (~v132(constB163)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB163) <=> (~((~v132(constB163)) | (~v155(constB163))))))),
% 15.38/10.57 inference(monotonicity,[status(thm)],[14545])).
% 15.38/10.57 tff(14547,plain,
% 15.38/10.57 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB163) <=> (~((~v155(constB163)) | (~v132(constB163)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB163) <=> (~((~v132(constB163)) | (~v155(constB163))))))),
% 15.38/10.57 inference(transitivity,[status(thm)],[14546, 14544])).
% 15.38/10.57 tff(14548,plain,
% 15.38/10.57 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB163) <=> (~((~v155(constB163)) | (~v132(constB163)))))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14549,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB163) <=> (~((~v132(constB163)) | (~v155(constB163)))))),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[14548, 14547])).
% 15.38/10.58 tff(14550,plain,
% 15.38/10.58 (v154(constB163) <=> (~((~v132(constB163)) | (~v155(constB163))))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14549, 399])).
% 15.38/10.58 tff(14551,plain,
% 15.38/10.58 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB163) <=> v137(constB163))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14552,plain,
% 15.38/10.58 (v132(constB163) <=> v137(constB163)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14551, 558])).
% 15.38/10.58 tff(14553,plain,
% 15.38/10.58 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(14554,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_162')).
% 15.38/10.58 tff(14555,plain,
% 15.38/10.58 (nextState(constB162, constB163)),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[14554, 14553])).
% 15.38/10.58 tff(14556,plain,
% 15.38/10.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB162, constB163)) | (v137(constB163) <=> v135(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB162, constB163)) | (v137(constB163) <=> v135(constB162)))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(14557,plain,
% 15.38/10.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB162, constB163)) | (v137(constB163) <=> v135(constB162)))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14558,plain,
% 15.38/10.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB162, constB163)) | (v137(constB163) <=> v135(constB162))),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[14557, 14556])).
% 15.38/10.58 tff(14559,plain,
% 15.38/10.58 (v137(constB163) <=> v135(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14558, 14555, 570])).
% 15.38/10.58 tff(14560,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB162) <=> (v138(constB162) | v142(constB162)))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14561,plain,
% 15.38/10.58 (v135(constB162) <=> (v138(constB162) | v142(constB162))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14560, 584])).
% 15.38/10.58 tff(14562,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB162) <=> (~((~v143(constB162)) | (~v144(constB162)))))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14563,plain,
% 15.38/10.58 (v142(constB162) <=> (~((~v143(constB162)) | (~v144(constB162))))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14562, 596])).
% 15.38/10.58 tff(14564,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB162) <=> (~((~v141(constB162)) | (~v145(constB162)))))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14565,plain,
% 15.38/10.58 (v144(constB162) <=> (~((~v141(constB162)) | (~v145(constB162))))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14564, 608])).
% 15.38/10.58 tff(14566,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB162) <=> (~((~v39(constB162)) | (~v9(constB162)))))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14567,plain,
% 15.38/10.58 (v141(constB162) <=> (~((~v39(constB162)) | (~v9(constB162))))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14566, 130])).
% 15.38/10.58 tff(14568,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB162)) <=> v1(constB162))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14569,plain,
% 15.38/10.58 ((~v39(constB162)) <=> v1(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14568, 139])).
% 15.38/10.58 tff(14570,plain,
% 15.38/10.58 (v1(constB162) <=> v1(constB162)),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(14571,axiom,(v1(constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_162')).
% 15.38/10.58 tff(14572,plain,
% 15.38/10.58 (v1(constB162)),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[14571, 14570])).
% 15.38/10.58 tff(14573,plain,
% 15.38/10.58 ((~((~v39(constB162)) <=> v1(constB162))) | (~v39(constB162)) | (~v1(constB162))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14574,plain,
% 15.38/10.58 ((~((~v39(constB162)) <=> v1(constB162))) | (~v39(constB162))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14573, 14572])).
% 15.38/10.58 tff(14575,plain,
% 15.38/10.58 (~v39(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14574, 14569])).
% 15.38/10.58 tff(14576,plain,
% 15.38/10.58 (((~v39(constB162)) | (~v9(constB162))) | v39(constB162)),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14577,plain,
% 15.38/10.58 ((~v39(constB162)) | (~v9(constB162))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14576, 14575])).
% 15.38/10.58 tff(14578,plain,
% 15.38/10.58 ((~(v141(constB162) <=> (~((~v39(constB162)) | (~v9(constB162)))))) | (~v141(constB162)) | (~((~v39(constB162)) | (~v9(constB162))))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14579,plain,
% 15.38/10.58 ((~(v141(constB162) <=> (~((~v39(constB162)) | (~v9(constB162)))))) | (~v141(constB162))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14578, 14577])).
% 15.38/10.58 tff(14580,plain,
% 15.38/10.58 (~v141(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14579, 14567])).
% 15.38/10.58 tff(14581,plain,
% 15.38/10.58 (((~v141(constB162)) | (~v145(constB162))) | v141(constB162)),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14582,plain,
% 15.38/10.58 ((~v141(constB162)) | (~v145(constB162))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14581, 14580])).
% 15.38/10.58 tff(14583,plain,
% 15.38/10.58 ((~(v144(constB162) <=> (~((~v141(constB162)) | (~v145(constB162)))))) | (~v144(constB162)) | (~((~v141(constB162)) | (~v145(constB162))))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14584,plain,
% 15.38/10.58 ((~(v144(constB162) <=> (~((~v141(constB162)) | (~v145(constB162)))))) | (~v144(constB162))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14583, 14582])).
% 15.38/10.58 tff(14585,plain,
% 15.38/10.58 (~v144(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14584, 14565])).
% 15.38/10.58 tff(14586,plain,
% 15.38/10.58 (((~v143(constB162)) | (~v144(constB162))) | v144(constB162)),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14587,plain,
% 15.38/10.58 ((~v143(constB162)) | (~v144(constB162))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14586, 14585])).
% 15.38/10.58 tff(14588,plain,
% 15.38/10.58 ((~(v142(constB162) <=> (~((~v143(constB162)) | (~v144(constB162)))))) | (~v142(constB162)) | (~((~v143(constB162)) | (~v144(constB162))))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14589,plain,
% 15.38/10.58 (~v142(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14588, 14587, 14563])).
% 15.38/10.58 tff(14590,plain,
% 15.38/10.58 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB162) <=> (~((~v132(constB162)) | (~v139(constB162)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB162) <=> (~((~v132(constB162)) | (~v139(constB162))))))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(14591,plain,
% 15.38/10.58 ((v138(constB162) <=> (~((~v139(constB162)) | (~v132(constB162))))) <=> (v138(constB162) <=> (~((~v132(constB162)) | (~v139(constB162)))))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(14592,plain,
% 15.38/10.58 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB162) <=> (~((~v139(constB162)) | (~v132(constB162)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB162) <=> (~((~v132(constB162)) | (~v139(constB162))))))),
% 15.38/10.58 inference(monotonicity,[status(thm)],[14591])).
% 15.38/10.58 tff(14593,plain,
% 15.38/10.58 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB162) <=> (~((~v139(constB162)) | (~v132(constB162)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB162) <=> (~((~v132(constB162)) | (~v139(constB162))))))),
% 15.38/10.58 inference(transitivity,[status(thm)],[14592, 14590])).
% 15.38/10.58 tff(14594,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB162) <=> (~((~v139(constB162)) | (~v132(constB162)))))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14595,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB162) <=> (~((~v132(constB162)) | (~v139(constB162)))))),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[14594, 14593])).
% 15.38/10.58 tff(14596,plain,
% 15.38/10.58 (v138(constB162) <=> (~((~v132(constB162)) | (~v139(constB162))))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14595, 644])).
% 15.38/10.58 tff(14597,plain,
% 15.38/10.58 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB162) <=> v137(constB162))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14598,plain,
% 15.38/10.58 (v132(constB162) <=> v137(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14597, 558])).
% 15.38/10.58 tff(14599,plain,
% 15.38/10.58 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(14600,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_161')).
% 15.38/10.58 tff(14601,plain,
% 15.38/10.58 (nextState(constB161, constB162)),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[14600, 14599])).
% 15.38/10.58 tff(14602,plain,
% 15.38/10.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB161, constB162)) | (v137(constB162) <=> v135(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB161, constB162)) | (v137(constB162) <=> v135(constB161)))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(14603,plain,
% 15.38/10.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB161, constB162)) | (v137(constB162) <=> v135(constB161)))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14604,plain,
% 15.38/10.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB161, constB162)) | (v137(constB162) <=> v135(constB161))),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[14603, 14602])).
% 15.38/10.58 tff(14605,plain,
% 15.38/10.58 (v137(constB162) <=> v135(constB161)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14604, 14601, 570])).
% 15.38/10.58 tff(14606,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB161) <=> (v138(constB161) | v142(constB161)))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14607,plain,
% 15.38/10.58 (v135(constB161) <=> (v138(constB161) | v142(constB161))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14606, 584])).
% 15.38/10.58 tff(14608,plain,
% 15.38/10.58 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB161) <=> (~((~v132(constB161)) | (~v139(constB161)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB161) <=> (~((~v132(constB161)) | (~v139(constB161))))))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(14609,plain,
% 15.38/10.58 ((v138(constB161) <=> (~((~v139(constB161)) | (~v132(constB161))))) <=> (v138(constB161) <=> (~((~v132(constB161)) | (~v139(constB161)))))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(14610,plain,
% 15.38/10.58 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB161) <=> (~((~v139(constB161)) | (~v132(constB161)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB161) <=> (~((~v132(constB161)) | (~v139(constB161))))))),
% 15.38/10.58 inference(monotonicity,[status(thm)],[14609])).
% 15.38/10.58 tff(14611,plain,
% 15.38/10.58 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB161) <=> (~((~v139(constB161)) | (~v132(constB161)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB161) <=> (~((~v132(constB161)) | (~v139(constB161))))))),
% 15.38/10.58 inference(transitivity,[status(thm)],[14610, 14608])).
% 15.38/10.58 tff(14612,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB161) <=> (~((~v139(constB161)) | (~v132(constB161)))))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14613,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB161) <=> (~((~v132(constB161)) | (~v139(constB161)))))),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[14612, 14611])).
% 15.38/10.58 tff(14614,plain,
% 15.38/10.58 (v138(constB161) <=> (~((~v132(constB161)) | (~v139(constB161))))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14613, 644])).
% 15.38/10.58 tff(14615,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB161)) <=> v140(constB161))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14616,plain,
% 15.38/10.58 ((~v139(constB161)) <=> v140(constB161)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14615, 203])).
% 15.38/10.58 tff(14617,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB161) <=> (v141(constB161) | v26(constB161)))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14618,plain,
% 15.38/10.58 (v140(constB161) <=> (v141(constB161) | v26(constB161))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14617, 212])).
% 15.38/10.58 tff(14619,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB161) <=> (~((~v39(constB161)) | (~v9(constB161)))))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14620,plain,
% 15.38/10.58 (v141(constB161) <=> (~((~v39(constB161)) | (~v9(constB161))))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14619, 130])).
% 15.38/10.58 tff(14621,plain,
% 15.38/10.58 (((~![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)))),
% 15.38/10.58 inference(rewrite,[status(thm)],[])).
% 15.38/10.58 tff(14622,plain,
% 15.38/10.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB161, constB162)) | (v13(constB162) <=> v9(constB161)))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14623,plain,
% 15.38/10.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB161, constB162)) | (v13(constB162) <=> v9(constB161))),
% 15.38/10.58 inference(modus_ponens,[status(thm)],[14622, 14621])).
% 15.38/10.58 tff(14624,plain,
% 15.38/10.58 (v13(constB162) <=> v9(constB161)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14623, 14601, 226])).
% 15.38/10.58 tff(14625,plain,
% 15.38/10.58 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB162) <=> v13(constB162))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14626,plain,
% 15.38/10.58 (v6(constB162) <=> v13(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14625, 240])).
% 15.38/10.58 tff(14627,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB162)) <=> v6(constB162))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14628,plain,
% 15.38/10.58 ((~v21(constB162)) <=> v6(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14627, 249])).
% 15.38/10.58 tff(14629,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB162) <=> (v20(constB162) | v21(constB162)))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14630,plain,
% 15.38/10.58 (v19(constB162) <=> (v20(constB162) | v21(constB162))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14629, 258])).
% 15.38/10.58 tff(14631,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB162) <=> (~((~v19(constB162)) | (~v22(constB162)))))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14632,plain,
% 15.38/10.58 (v18(constB162) <=> (~((~v19(constB162)) | (~v22(constB162))))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14631, 270])).
% 15.38/10.58 tff(14633,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB162)) <=> v18(constB162))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14634,plain,
% 15.38/10.58 ((~v4(constB162)) <=> v18(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14633, 279])).
% 15.38/10.58 tff(14635,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB162)),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14636,plain,
% 15.38/10.58 (v4(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14635, 288])).
% 15.38/10.58 tff(14637,plain,
% 15.38/10.58 ((~((~v4(constB162)) <=> v18(constB162))) | (~v4(constB162)) | (~v18(constB162))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14638,plain,
% 15.38/10.58 (~v18(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14637, 14636, 14634])).
% 15.38/10.58 tff(14639,plain,
% 15.38/10.58 ((~(v18(constB162) <=> (~((~v19(constB162)) | (~v22(constB162)))))) | v18(constB162) | ((~v19(constB162)) | (~v22(constB162)))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14640,plain,
% 15.38/10.58 ((~v19(constB162)) | (~v22(constB162))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14639, 14638, 14632])).
% 15.38/10.58 tff(14641,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB162) <=> (v1(constB162) | v6(constB162)))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14642,plain,
% 15.38/10.58 (v22(constB162) <=> (v1(constB162) | v6(constB162))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14641, 301])).
% 15.38/10.58 tff(14643,plain,
% 15.38/10.58 ((v1(constB162) | v6(constB162)) | (~v1(constB162))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14644,plain,
% 15.38/10.58 (v1(constB162) | v6(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14643, 14572])).
% 15.38/10.58 tff(14645,plain,
% 15.38/10.58 ((~(v22(constB162) <=> (v1(constB162) | v6(constB162)))) | v22(constB162) | (~(v1(constB162) | v6(constB162)))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14646,plain,
% 15.38/10.58 ((~(v22(constB162) <=> (v1(constB162) | v6(constB162)))) | v22(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14645, 14644])).
% 15.38/10.58 tff(14647,plain,
% 15.38/10.58 (v22(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14646, 14642])).
% 15.38/10.58 tff(14648,plain,
% 15.38/10.58 ((~((~v19(constB162)) | (~v22(constB162)))) | (~v19(constB162)) | (~v22(constB162))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14649,plain,
% 15.38/10.58 ((~((~v19(constB162)) | (~v22(constB162)))) | (~v19(constB162))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14648, 14647])).
% 15.38/10.58 tff(14650,plain,
% 15.38/10.58 (~v19(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14649, 14640])).
% 15.38/10.58 tff(14651,plain,
% 15.38/10.58 ((~(v19(constB162) <=> (v20(constB162) | v21(constB162)))) | v19(constB162) | (~(v20(constB162) | v21(constB162)))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14652,plain,
% 15.38/10.58 (~(v20(constB162) | v21(constB162))),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14651, 14650, 14630])).
% 15.38/10.58 tff(14653,plain,
% 15.38/10.58 ((v20(constB162) | v21(constB162)) | (~v21(constB162))),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14654,plain,
% 15.38/10.58 (~v21(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14653, 14652])).
% 15.38/10.58 tff(14655,plain,
% 15.38/10.58 ((~((~v21(constB162)) <=> v6(constB162))) | v21(constB162) | v6(constB162)),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14656,plain,
% 15.38/10.58 (v6(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14655, 14654, 14628])).
% 15.38/10.58 tff(14657,plain,
% 15.38/10.58 ((~(v6(constB162) <=> v13(constB162))) | (~v6(constB162)) | v13(constB162)),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14658,plain,
% 15.38/10.58 (v13(constB162)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14657, 14656, 14626])).
% 15.38/10.58 tff(14659,plain,
% 15.38/10.58 ((~(v13(constB162) <=> v9(constB161))) | (~v13(constB162)) | v9(constB161)),
% 15.38/10.58 inference(tautology,[status(thm)],[])).
% 15.38/10.58 tff(14660,plain,
% 15.38/10.58 (v9(constB161)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14659, 14658, 14624])).
% 15.38/10.58 tff(14661,plain,
% 15.38/10.58 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB161)) <=> v1(constB161))),
% 15.38/10.58 inference(quant_inst,[status(thm)],[])).
% 15.38/10.58 tff(14662,plain,
% 15.38/10.58 ((~v39(constB161)) <=> v1(constB161)),
% 15.38/10.58 inference(unit_resolution,[status(thm)],[14661, 139])).
% 15.38/10.58 tff(14663,plain,
% 15.38/10.58 ((~v1(constB161)) <=> (~v1(constB161))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(14664,axiom,(~v1(constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_161')).
% 15.38/10.59 tff(14665,plain,
% 15.38/10.59 (~v1(constB161)),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[14664, 14663])).
% 15.38/10.59 tff(14666,plain,
% 15.38/10.59 ((~((~v39(constB161)) <=> v1(constB161))) | v39(constB161) | v1(constB161)),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(14667,plain,
% 15.38/10.59 ((~((~v39(constB161)) <=> v1(constB161))) | v39(constB161)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14666, 14665])).
% 15.38/10.59 tff(14668,plain,
% 15.38/10.59 (v39(constB161)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14667, 14662])).
% 15.38/10.59 tff(14669,plain,
% 15.38/10.59 ((~((~v39(constB161)) | (~v9(constB161)))) | (~v39(constB161)) | (~v9(constB161))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(14670,plain,
% 15.38/10.59 ((~((~v39(constB161)) | (~v9(constB161)))) | (~v9(constB161))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14669, 14668])).
% 15.38/10.59 tff(14671,plain,
% 15.38/10.59 (~((~v39(constB161)) | (~v9(constB161)))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14670, 14660])).
% 15.38/10.59 tff(14672,plain,
% 15.38/10.59 ((~(v141(constB161) <=> (~((~v39(constB161)) | (~v9(constB161)))))) | v141(constB161) | ((~v39(constB161)) | (~v9(constB161)))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(14673,plain,
% 15.38/10.59 (v141(constB161)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14672, 14671, 14620])).
% 15.38/10.59 tff(14674,plain,
% 15.38/10.59 ((v141(constB161) | v26(constB161)) | (~v141(constB161))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(14675,plain,
% 15.38/10.59 (v141(constB161) | v26(constB161)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14674, 14673])).
% 15.38/10.59 tff(14676,plain,
% 15.38/10.59 ((~(v140(constB161) <=> (v141(constB161) | v26(constB161)))) | v140(constB161) | (~(v141(constB161) | v26(constB161)))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(14677,plain,
% 15.38/10.59 (v140(constB161)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14676, 14675, 14618])).
% 15.38/10.59 tff(14678,plain,
% 15.38/10.59 ((~((~v139(constB161)) <=> v140(constB161))) | (~v139(constB161)) | (~v140(constB161))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(14679,plain,
% 15.38/10.59 (~v139(constB161)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14678, 14677, 14616])).
% 15.38/10.59 tff(14680,plain,
% 15.38/10.59 (((~v132(constB161)) | (~v139(constB161))) | v139(constB161)),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(14681,plain,
% 15.38/10.59 ((~v132(constB161)) | (~v139(constB161))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14680, 14679])).
% 15.38/10.59 tff(14682,plain,
% 15.38/10.59 ((~(v138(constB161) <=> (~((~v132(constB161)) | (~v139(constB161)))))) | (~v138(constB161)) | (~((~v132(constB161)) | (~v139(constB161))))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(14683,plain,
% 15.38/10.59 (~v138(constB161)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14682, 14681, 14614])).
% 15.38/10.59 tff(14684,plain,
% 15.38/10.59 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB161) <=> (~((~v143(constB161)) | (~v144(constB161)))))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(14685,plain,
% 15.38/10.59 (v142(constB161) <=> (~((~v143(constB161)) | (~v144(constB161))))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14684, 596])).
% 15.38/10.59 tff(14686,plain,
% 15.38/10.59 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB161) <=> (~((~v141(constB161)) | (~v145(constB161)))))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(14687,plain,
% 15.38/10.59 (v144(constB161) <=> (~((~v141(constB161)) | (~v145(constB161))))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14686, 608])).
% 15.38/10.59 tff(14688,plain,
% 15.38/10.59 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB161) <=> (~(v84(constB161, 1) | v84(constB161, 2) | (~v84(constB161, 0)))))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(14689,plain,
% 15.38/10.59 (v145(constB161) <=> (~(v84(constB161, 1) | v84(constB161, 2) | (~v84(constB161, 0))))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14688, 755])).
% 15.38/10.59 tff(14690,plain,
% 15.38/10.59 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(14691,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_160')).
% 15.38/10.59 tff(14692,plain,
% 15.38/10.59 (nextState(constB160, constB161)),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[14691, 14690])).
% 15.38/10.59 tff(14693,plain,
% 15.38/10.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB160, constB161)) | (v94(constB161) <=> (~((~v95(constB161)) | (~v104(constB161))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB160, constB161)) | (v94(constB161) <=> (~((~v95(constB161)) | (~v104(constB161))))))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(14694,plain,
% 15.38/10.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB160, constB161)) | (v94(constB161) <=> (~((~v95(constB161)) | (~v104(constB161))))))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(14695,plain,
% 15.38/10.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB160, constB161)) | (v94(constB161) <=> (~((~v95(constB161)) | (~v104(constB161)))))),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[14694, 14693])).
% 15.38/10.59 tff(14696,plain,
% 15.38/10.59 (v94(constB161) <=> (~((~v95(constB161)) | (~v104(constB161))))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14695, 14692, 770])).
% 15.38/10.59 tff(14697,plain,
% 15.38/10.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161))))))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(14698,plain,
% 15.38/10.59 (((~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v96(constB161)) | (~v1(constB161)))))) <=> ((~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161))))))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(14699,plain,
% 15.38/10.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v96(constB161)) | (~v1(constB161))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161)))))))),
% 15.38/10.59 inference(monotonicity,[status(thm)],[14698])).
% 15.38/10.59 tff(14700,plain,
% 15.38/10.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v96(constB161)) | (~v1(constB161))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161))))))),
% 15.38/10.59 inference(transitivity,[status(thm)],[14699, 14697])).
% 15.38/10.59 tff(14701,plain,
% 15.38/10.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v96(constB161)) | (~v1(constB161))))))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(14702,plain,
% 15.38/10.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161)))))),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[14701, 14700])).
% 15.38/10.59 tff(14703,plain,
% 15.38/10.59 (v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161))))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14702, 14692, 790])).
% 15.38/10.59 tff(14704,plain,
% 15.38/10.59 (((~v1(constB161)) | (~v96(constB161))) | v1(constB161)),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(14705,plain,
% 15.38/10.59 ((~v1(constB161)) | (~v96(constB161))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14704, 14665])).
% 15.38/10.59 tff(14706,plain,
% 15.38/10.59 ((~(v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161)))))) | (~v95(constB161)) | (~((~v1(constB161)) | (~v96(constB161))))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(14707,plain,
% 15.38/10.59 ((~(v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161)))))) | (~v95(constB161))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14706, 14705])).
% 15.38/10.59 tff(14708,plain,
% 15.38/10.59 (~v95(constB161)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14707, 14703])).
% 15.38/10.59 tff(14709,plain,
% 15.38/10.59 (((~v95(constB161)) | (~v104(constB161))) | v95(constB161)),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(14710,plain,
% 15.38/10.59 ((~v95(constB161)) | (~v104(constB161))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14709, 14708])).
% 15.38/10.59 tff(14711,plain,
% 15.38/10.59 ((~(v94(constB161) <=> (~((~v95(constB161)) | (~v104(constB161)))))) | (~v94(constB161)) | (~((~v95(constB161)) | (~v104(constB161))))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(14712,plain,
% 15.38/10.59 (~v94(constB161)),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14711, 14710, 14696])).
% 15.38/10.59 tff(14713,plain,
% 15.38/10.59 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB161) | (~nextState(constB160, constB161)) | (~(((~v84(constB161, 1)) <=> v84(constB160, 1)) | ((~v84(constB161, 2)) <=> v84(constB160, 2)) | ((~v84(constB161, 0)) <=> v84(constB160, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB161) | (~nextState(constB160, constB161)) | (~(((~v84(constB161, 1)) <=> v84(constB160, 1)) | ((~v84(constB161, 2)) <=> v84(constB160, 2)) | ((~v84(constB161, 0)) <=> v84(constB160, 0)))))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(14714,plain,
% 15.38/10.59 ((v94(constB161) | (~nextState(constB160, constB161)) | (~(((~v84(constB161, 2)) <=> v84(constB160, 2)) | ((~v84(constB161, 1)) <=> v84(constB160, 1)) | ((~v84(constB161, 0)) <=> v84(constB160, 0))))) <=> (v94(constB161) | (~nextState(constB160, constB161)) | (~(((~v84(constB161, 1)) <=> v84(constB160, 1)) | ((~v84(constB161, 2)) <=> v84(constB160, 2)) | ((~v84(constB161, 0)) <=> v84(constB160, 0)))))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(14715,plain,
% 15.38/10.59 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB161) | (~nextState(constB160, constB161)) | (~(((~v84(constB161, 2)) <=> v84(constB160, 2)) | ((~v84(constB161, 1)) <=> v84(constB160, 1)) | ((~v84(constB161, 0)) <=> v84(constB160, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB161) | (~nextState(constB160, constB161)) | (~(((~v84(constB161, 1)) <=> v84(constB160, 1)) | ((~v84(constB161, 2)) <=> v84(constB160, 2)) | ((~v84(constB161, 0)) <=> v84(constB160, 0))))))),
% 15.38/10.59 inference(monotonicity,[status(thm)],[14714])).
% 15.38/10.59 tff(14716,plain,
% 15.38/10.59 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB161) | (~nextState(constB160, constB161)) | (~(((~v84(constB161, 2)) <=> v84(constB160, 2)) | ((~v84(constB161, 1)) <=> v84(constB160, 1)) | ((~v84(constB161, 0)) <=> v84(constB160, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB161) | (~nextState(constB160, constB161)) | (~(((~v84(constB161, 1)) <=> v84(constB160, 1)) | ((~v84(constB161, 2)) <=> v84(constB160, 2)) | ((~v84(constB161, 0)) <=> v84(constB160, 0)))))),
% 15.38/10.59 inference(transitivity,[status(thm)],[14715, 14713])).
% 15.38/10.59 tff(14717,plain,
% 15.38/10.59 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB161) | (~nextState(constB160, constB161)) | (~(((~v84(constB161, 2)) <=> v84(constB160, 2)) | ((~v84(constB161, 1)) <=> v84(constB160, 1)) | ((~v84(constB161, 0)) <=> v84(constB160, 0)))))),
% 15.38/10.59 inference(quant_inst,[status(thm)],[])).
% 15.38/10.59 tff(14718,plain,
% 15.38/10.59 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB161) | (~nextState(constB160, constB161)) | (~(((~v84(constB161, 1)) <=> v84(constB160, 1)) | ((~v84(constB161, 2)) <=> v84(constB160, 2)) | ((~v84(constB161, 0)) <=> v84(constB160, 0))))),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[14717, 14716])).
% 15.38/10.59 tff(14719,plain,
% 15.38/10.59 (v94(constB161) | (~(((~v84(constB161, 1)) <=> v84(constB160, 1)) | ((~v84(constB161, 2)) <=> v84(constB160, 2)) | ((~v84(constB161, 0)) <=> v84(constB160, 0))))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14718, 14692, 819])).
% 15.38/10.59 tff(14720,plain,
% 15.38/10.59 (~(((~v84(constB161, 1)) <=> v84(constB160, 1)) | ((~v84(constB161, 2)) <=> v84(constB160, 2)) | ((~v84(constB161, 0)) <=> v84(constB160, 0)))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14719, 14712])).
% 15.38/10.59 tff(14721,plain,
% 15.38/10.59 ((((~v84(constB161, 1)) <=> v84(constB160, 1)) | ((~v84(constB161, 2)) <=> v84(constB160, 2)) | ((~v84(constB161, 0)) <=> v84(constB160, 0))) | (~((~v84(constB161, 1)) <=> v84(constB160, 1)))),
% 15.38/10.59 inference(tautology,[status(thm)],[])).
% 15.38/10.59 tff(14722,plain,
% 15.38/10.59 (~((~v84(constB161, 1)) <=> v84(constB160, 1))),
% 15.38/10.59 inference(unit_resolution,[status(thm)],[14721, 14720])).
% 15.38/10.59 tff(14723,plain,
% 15.38/10.59 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(14724,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_159')).
% 15.38/10.59 tff(14725,plain,
% 15.38/10.59 (nextState(constB159, constB160)),
% 15.38/10.59 inference(modus_ponens,[status(thm)],[14724, 14723])).
% 15.38/10.59 tff(14726,plain,
% 15.38/10.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB159, constB160)) | (~(((~v123(constB160, 2)) <=> v121(constB159, 2)) | ((~v123(constB160, 1)) <=> v121(constB159, 1)) | ((~v123(constB160, 0)) <=> v121(constB159, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB159, constB160)) | (~(((~v123(constB160, 2)) <=> v121(constB159, 2)) | ((~v123(constB160, 1)) <=> v121(constB159, 1)) | ((~v123(constB160, 0)) <=> v121(constB159, 0)))))),
% 15.38/10.59 inference(rewrite,[status(thm)],[])).
% 15.38/10.59 tff(14727,plain,
% 15.38/10.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB159, constB160)) | (~(((~v123(constB160, 2)) <=> v121(constB159, 2)) | ((~v123(constB160, 1)) <=> v121(constB159, 1)) | ((~v123(constB160, 0)) <=> v121(constB159, 0)))))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(14728,plain,
% 15.38/10.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB159, constB160)) | (~(((~v123(constB160, 2)) <=> v121(constB159, 2)) | ((~v123(constB160, 1)) <=> v121(constB159, 1)) | ((~v123(constB160, 0)) <=> v121(constB159, 0))))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[14727, 14726])).
% 15.38/10.60 tff(14729,plain,
% 15.38/10.60 (~(((~v123(constB160, 2)) <=> v121(constB159, 2)) | ((~v123(constB160, 1)) <=> v121(constB159, 1)) | ((~v123(constB160, 0)) <=> v121(constB159, 0)))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14728, 14725, 842])).
% 15.38/10.60 tff(14730,plain,
% 15.38/10.60 ((((~v123(constB160, 2)) <=> v121(constB159, 2)) | ((~v123(constB160, 1)) <=> v121(constB159, 1)) | ((~v123(constB160, 0)) <=> v121(constB159, 0))) | (~((~v123(constB160, 1)) <=> v121(constB159, 1)))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(14731,plain,
% 15.38/10.60 (~((~v123(constB160, 1)) <=> v121(constB159, 1))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14730, 14729])).
% 15.38/10.60 tff(14732,plain,
% 15.38/10.60 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB159) <=> v26(constB159))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(14733,plain,
% 15.38/10.60 (v105(constB159) <=> v26(constB159)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14732, 861])).
% 15.38/10.60 tff(14734,plain,
% 15.38/10.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB159))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(14735,plain,
% 15.38/10.60 (~v26(constB159)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14734, 873])).
% 15.38/10.60 tff(14736,plain,
% 15.38/10.60 ((~(v105(constB159) <=> v26(constB159))) | (~v105(constB159)) | v26(constB159)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(14737,plain,
% 15.38/10.60 ((~(v105(constB159) <=> v26(constB159))) | (~v105(constB159))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14736, 14735])).
% 15.38/10.60 tff(14738,plain,
% 15.38/10.60 (~v105(constB159)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14737, 14733])).
% 15.38/10.60 tff(14739,plain,
% 15.38/10.60 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB159) | (~(((~v121(constB159, 2)) <=> v124(constB159, 2)) | ((~v121(constB159, 0)) <=> v124(constB159, 0)) | ((~v121(constB159, 1)) <=> v124(constB159, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB159) | (~(((~v121(constB159, 2)) <=> v124(constB159, 2)) | ((~v121(constB159, 0)) <=> v124(constB159, 0)) | ((~v121(constB159, 1)) <=> v124(constB159, 1)))))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(14740,plain,
% 15.38/10.60 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB159) | (~(((~v121(constB159, 2)) <=> v124(constB159, 2)) | ((~v121(constB159, 0)) <=> v124(constB159, 0)) | ((~v121(constB159, 1)) <=> v124(constB159, 1)))))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(14741,plain,
% 15.38/10.60 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB159) | (~(((~v121(constB159, 2)) <=> v124(constB159, 2)) | ((~v121(constB159, 0)) <=> v124(constB159, 0)) | ((~v121(constB159, 1)) <=> v124(constB159, 1))))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[14740, 14739])).
% 15.38/10.60 tff(14742,plain,
% 15.38/10.60 (v105(constB159) | (~(((~v121(constB159, 2)) <=> v124(constB159, 2)) | ((~v121(constB159, 0)) <=> v124(constB159, 0)) | ((~v121(constB159, 1)) <=> v124(constB159, 1))))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14741, 891])).
% 15.38/10.60 tff(14743,plain,
% 15.38/10.60 (~(((~v121(constB159, 2)) <=> v124(constB159, 2)) | ((~v121(constB159, 0)) <=> v124(constB159, 0)) | ((~v121(constB159, 1)) <=> v124(constB159, 1)))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14742, 14738])).
% 15.38/10.60 tff(14744,plain,
% 15.38/10.60 ((((~v121(constB159, 2)) <=> v124(constB159, 2)) | ((~v121(constB159, 0)) <=> v124(constB159, 0)) | ((~v121(constB159, 1)) <=> v124(constB159, 1))) | (~((~v121(constB159, 1)) <=> v124(constB159, 1)))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(14745,plain,
% 15.38/10.60 (~((~v121(constB159, 1)) <=> v124(constB159, 1))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14744, 14743])).
% 15.38/10.60 tff(14746,plain,
% 15.38/10.60 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB159) <=> (~(v84(constB159, 2) | v84(constB159, 0) | (~v84(constB159, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB159) <=> (~(v84(constB159, 2) | v84(constB159, 0) | (~v84(constB159, 1))))))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(14747,plain,
% 15.38/10.60 ((v115(constB159) <=> (~(v84(constB159, 0) | v84(constB159, 2) | (~v84(constB159, 1))))) <=> (v115(constB159) <=> (~(v84(constB159, 2) | v84(constB159, 0) | (~v84(constB159, 1)))))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(14748,plain,
% 15.38/10.60 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB159) <=> (~(v84(constB159, 0) | v84(constB159, 2) | (~v84(constB159, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB159) <=> (~(v84(constB159, 2) | v84(constB159, 0) | (~v84(constB159, 1))))))),
% 15.38/10.60 inference(monotonicity,[status(thm)],[14747])).
% 15.38/10.60 tff(14749,plain,
% 15.38/10.60 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB159) <=> (~(v84(constB159, 0) | v84(constB159, 2) | (~v84(constB159, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB159) <=> (~(v84(constB159, 2) | v84(constB159, 0) | (~v84(constB159, 1))))))),
% 15.38/10.60 inference(transitivity,[status(thm)],[14748, 14746])).
% 15.38/10.60 tff(14750,plain,
% 15.38/10.60 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB159) <=> (~(v84(constB159, 0) | v84(constB159, 2) | (~v84(constB159, 1)))))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(14751,plain,
% 15.38/10.60 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB159) <=> (~(v84(constB159, 2) | v84(constB159, 0) | (~v84(constB159, 1)))))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[14750, 14749])).
% 15.38/10.60 tff(14752,plain,
% 15.38/10.60 (v115(constB159) <=> (~(v84(constB159, 2) | v84(constB159, 0) | (~v84(constB159, 1))))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14751, 985])).
% 15.38/10.60 tff(14753,plain,
% 15.38/10.60 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(14754,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_158')).
% 15.38/10.60 tff(14755,plain,
% 15.38/10.60 (nextState(constB158, constB159)),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[14754, 14753])).
% 15.38/10.60 tff(14756,plain,
% 15.38/10.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB158, constB159)) | (v94(constB159) <=> (~((~v95(constB159)) | (~v104(constB159))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB158, constB159)) | (v94(constB159) <=> (~((~v95(constB159)) | (~v104(constB159))))))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(14757,plain,
% 15.38/10.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB158, constB159)) | (v94(constB159) <=> (~((~v95(constB159)) | (~v104(constB159))))))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(14758,plain,
% 15.38/10.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB158, constB159)) | (v94(constB159) <=> (~((~v95(constB159)) | (~v104(constB159)))))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[14757, 14756])).
% 15.38/10.60 tff(14759,plain,
% 15.38/10.60 (v94(constB159) <=> (~((~v95(constB159)) | (~v104(constB159))))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14758, 14755, 770])).
% 15.38/10.60 tff(14760,plain,
% 15.38/10.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159))))))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(14761,plain,
% 15.38/10.60 (((~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v96(constB159)) | (~v1(constB159)))))) <=> ((~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159))))))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(14762,plain,
% 15.38/10.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v96(constB159)) | (~v1(constB159))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159)))))))),
% 15.38/10.60 inference(monotonicity,[status(thm)],[14761])).
% 15.38/10.60 tff(14763,plain,
% 15.38/10.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v96(constB159)) | (~v1(constB159))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159))))))),
% 15.38/10.60 inference(transitivity,[status(thm)],[14762, 14760])).
% 15.38/10.60 tff(14764,plain,
% 15.38/10.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v96(constB159)) | (~v1(constB159))))))),
% 15.38/10.60 inference(quant_inst,[status(thm)],[])).
% 15.38/10.60 tff(14765,plain,
% 15.38/10.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159)))))),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[14764, 14763])).
% 15.38/10.60 tff(14766,plain,
% 15.38/10.60 (v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159))))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14765, 14755, 790])).
% 15.38/10.60 tff(14767,plain,
% 15.38/10.60 ((~v1(constB159)) <=> (~v1(constB159))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(14768,axiom,(~v1(constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_159')).
% 15.38/10.60 tff(14769,plain,
% 15.38/10.60 (~v1(constB159)),
% 15.38/10.60 inference(modus_ponens,[status(thm)],[14768, 14767])).
% 15.38/10.60 tff(14770,plain,
% 15.38/10.60 (((~v1(constB159)) | (~v96(constB159))) | v1(constB159)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(14771,plain,
% 15.38/10.60 ((~v1(constB159)) | (~v96(constB159))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14770, 14769])).
% 15.38/10.60 tff(14772,plain,
% 15.38/10.60 ((~(v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159)))))) | (~v95(constB159)) | (~((~v1(constB159)) | (~v96(constB159))))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(14773,plain,
% 15.38/10.60 ((~(v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159)))))) | (~v95(constB159))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14772, 14771])).
% 15.38/10.60 tff(14774,plain,
% 15.38/10.60 (~v95(constB159)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14773, 14766])).
% 15.38/10.60 tff(14775,plain,
% 15.38/10.60 (((~v95(constB159)) | (~v104(constB159))) | v95(constB159)),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(14776,plain,
% 15.38/10.60 ((~v95(constB159)) | (~v104(constB159))),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14775, 14774])).
% 15.38/10.60 tff(14777,plain,
% 15.38/10.60 ((~(v94(constB159) <=> (~((~v95(constB159)) | (~v104(constB159)))))) | (~v94(constB159)) | (~((~v95(constB159)) | (~v104(constB159))))),
% 15.38/10.60 inference(tautology,[status(thm)],[])).
% 15.38/10.60 tff(14778,plain,
% 15.38/10.60 (~v94(constB159)),
% 15.38/10.60 inference(unit_resolution,[status(thm)],[14777, 14776, 14759])).
% 15.38/10.60 tff(14779,plain,
% 15.38/10.60 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB159) | (~nextState(constB158, constB159)) | (~(((~v84(constB159, 1)) <=> v84(constB158, 1)) | ((~v84(constB159, 2)) <=> v84(constB158, 2)) | ((~v84(constB159, 0)) <=> v84(constB158, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB159) | (~nextState(constB158, constB159)) | (~(((~v84(constB159, 1)) <=> v84(constB158, 1)) | ((~v84(constB159, 2)) <=> v84(constB158, 2)) | ((~v84(constB159, 0)) <=> v84(constB158, 0)))))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(14780,plain,
% 15.38/10.60 ((v94(constB159) | (~nextState(constB158, constB159)) | (~(((~v84(constB159, 2)) <=> v84(constB158, 2)) | ((~v84(constB159, 1)) <=> v84(constB158, 1)) | ((~v84(constB159, 0)) <=> v84(constB158, 0))))) <=> (v94(constB159) | (~nextState(constB158, constB159)) | (~(((~v84(constB159, 1)) <=> v84(constB158, 1)) | ((~v84(constB159, 2)) <=> v84(constB158, 2)) | ((~v84(constB159, 0)) <=> v84(constB158, 0)))))),
% 15.38/10.60 inference(rewrite,[status(thm)],[])).
% 15.38/10.60 tff(14781,plain,
% 15.38/10.60 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB159) | (~nextState(constB158, constB159)) | (~(((~v84(constB159, 2)) <=> v84(constB158, 2)) | ((~v84(constB159, 1)) <=> v84(constB158, 1)) | ((~v84(constB159, 0)) <=> v84(constB158, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB159) | (~nextState(constB158, constB159)) | (~(((~v84(constB159, 1)) <=> v84(constB158, 1)) | ((~v84(constB159, 2)) <=> v84(constB158, 2)) | ((~v84(constB159, 0)) <=> v84(constB158, 0))))))),
% 15.38/10.60 inference(monotonicity,[status(thm)],[14780])).
% 15.38/10.60 tff(14782,plain,
% 15.38/10.60 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB159) | (~nextState(constB158, constB159)) | (~(((~v84(constB159, 2)) <=> v84(constB158, 2)) | ((~v84(constB159, 1)) <=> v84(constB158, 1)) | ((~v84(constB159, 0)) <=> v84(constB158, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB159) | (~nextState(constB158, constB159)) | (~(((~v84(constB159, 1)) <=> v84(constB158, 1)) | ((~v84(constB159, 2)) <=> v84(constB158, 2)) | ((~v84(constB159, 0)) <=> v84(constB158, 0)))))),
% 15.38/10.61 inference(transitivity,[status(thm)],[14781, 14779])).
% 15.38/10.61 tff(14783,plain,
% 15.38/10.61 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB159) | (~nextState(constB158, constB159)) | (~(((~v84(constB159, 2)) <=> v84(constB158, 2)) | ((~v84(constB159, 1)) <=> v84(constB158, 1)) | ((~v84(constB159, 0)) <=> v84(constB158, 0)))))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(14784,plain,
% 15.38/10.61 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB159) | (~nextState(constB158, constB159)) | (~(((~v84(constB159, 1)) <=> v84(constB158, 1)) | ((~v84(constB159, 2)) <=> v84(constB158, 2)) | ((~v84(constB159, 0)) <=> v84(constB158, 0))))),
% 15.38/10.61 inference(modus_ponens,[status(thm)],[14783, 14782])).
% 15.38/10.61 tff(14785,plain,
% 15.38/10.61 (v94(constB159) | (~(((~v84(constB159, 1)) <=> v84(constB158, 1)) | ((~v84(constB159, 2)) <=> v84(constB158, 2)) | ((~v84(constB159, 0)) <=> v84(constB158, 0))))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[14784, 14755, 819])).
% 15.38/10.61 tff(14786,plain,
% 15.38/10.61 (~(((~v84(constB159, 1)) <=> v84(constB158, 1)) | ((~v84(constB159, 2)) <=> v84(constB158, 2)) | ((~v84(constB159, 0)) <=> v84(constB158, 0)))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[14785, 14778])).
% 15.38/10.61 tff(14787,plain,
% 15.38/10.61 ((((~v84(constB159, 1)) <=> v84(constB158, 1)) | ((~v84(constB159, 2)) <=> v84(constB158, 2)) | ((~v84(constB159, 0)) <=> v84(constB158, 0))) | (~((~v84(constB159, 2)) <=> v84(constB158, 2)))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(14788,plain,
% 15.38/10.61 (~((~v84(constB159, 2)) <=> v84(constB158, 2))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[14787, 14786])).
% 15.38/10.61 tff(14789,plain,
% 15.38/10.61 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 15.38/10.61 inference(rewrite,[status(thm)],[])).
% 15.38/10.61 tff(14790,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_157')).
% 15.38/10.61 tff(14791,plain,
% 15.38/10.61 (nextState(constB157, constB158)),
% 15.38/10.61 inference(modus_ponens,[status(thm)],[14790, 14789])).
% 15.38/10.61 tff(14792,plain,
% 15.38/10.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB157, constB158)) | (~(((~v123(constB158, 2)) <=> v121(constB157, 2)) | ((~v123(constB158, 1)) <=> v121(constB157, 1)) | ((~v123(constB158, 0)) <=> v121(constB157, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB157, constB158)) | (~(((~v123(constB158, 2)) <=> v121(constB157, 2)) | ((~v123(constB158, 1)) <=> v121(constB157, 1)) | ((~v123(constB158, 0)) <=> v121(constB157, 0)))))),
% 15.38/10.61 inference(rewrite,[status(thm)],[])).
% 15.38/10.61 tff(14793,plain,
% 15.38/10.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB157, constB158)) | (~(((~v123(constB158, 2)) <=> v121(constB157, 2)) | ((~v123(constB158, 1)) <=> v121(constB157, 1)) | ((~v123(constB158, 0)) <=> v121(constB157, 0)))))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(14794,plain,
% 15.38/10.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB157, constB158)) | (~(((~v123(constB158, 2)) <=> v121(constB157, 2)) | ((~v123(constB158, 1)) <=> v121(constB157, 1)) | ((~v123(constB158, 0)) <=> v121(constB157, 0))))),
% 15.38/10.61 inference(modus_ponens,[status(thm)],[14793, 14792])).
% 15.38/10.61 tff(14795,plain,
% 15.38/10.61 (~(((~v123(constB158, 2)) <=> v121(constB157, 2)) | ((~v123(constB158, 1)) <=> v121(constB157, 1)) | ((~v123(constB158, 0)) <=> v121(constB157, 0)))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[14794, 14791, 842])).
% 15.38/10.61 tff(14796,plain,
% 15.38/10.61 ((((~v123(constB158, 2)) <=> v121(constB157, 2)) | ((~v123(constB158, 1)) <=> v121(constB157, 1)) | ((~v123(constB158, 0)) <=> v121(constB157, 0))) | (~((~v123(constB158, 2)) <=> v121(constB157, 2)))),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(14797,plain,
% 15.38/10.61 (~((~v123(constB158, 2)) <=> v121(constB157, 2))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[14796, 14795])).
% 15.38/10.61 tff(14798,plain,
% 15.38/10.61 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB157) <=> v26(constB157))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(14799,plain,
% 15.38/10.61 (v105(constB157) <=> v26(constB157)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[14798, 861])).
% 15.38/10.61 tff(14800,plain,
% 15.38/10.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB157))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(14801,plain,
% 15.38/10.61 (~v26(constB157)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[14800, 873])).
% 15.38/10.61 tff(14802,plain,
% 15.38/10.61 ((~(v105(constB157) <=> v26(constB157))) | (~v105(constB157)) | v26(constB157)),
% 15.38/10.61 inference(tautology,[status(thm)],[])).
% 15.38/10.61 tff(14803,plain,
% 15.38/10.61 ((~(v105(constB157) <=> v26(constB157))) | (~v105(constB157))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[14802, 14801])).
% 15.38/10.61 tff(14804,plain,
% 15.38/10.61 (~v105(constB157)),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[14803, 14799])).
% 15.38/10.61 tff(14805,plain,
% 15.38/10.61 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB157) | (~(((~v121(constB157, 2)) <=> v124(constB157, 2)) | ((~v121(constB157, 0)) <=> v124(constB157, 0)) | ((~v121(constB157, 1)) <=> v124(constB157, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB157) | (~(((~v121(constB157, 2)) <=> v124(constB157, 2)) | ((~v121(constB157, 0)) <=> v124(constB157, 0)) | ((~v121(constB157, 1)) <=> v124(constB157, 1)))))),
% 15.38/10.61 inference(rewrite,[status(thm)],[])).
% 15.38/10.61 tff(14806,plain,
% 15.38/10.61 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB157) | (~(((~v121(constB157, 2)) <=> v124(constB157, 2)) | ((~v121(constB157, 0)) <=> v124(constB157, 0)) | ((~v121(constB157, 1)) <=> v124(constB157, 1)))))),
% 15.38/10.61 inference(quant_inst,[status(thm)],[])).
% 15.38/10.61 tff(14807,plain,
% 15.38/10.61 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB157) | (~(((~v121(constB157, 2)) <=> v124(constB157, 2)) | ((~v121(constB157, 0)) <=> v124(constB157, 0)) | ((~v121(constB157, 1)) <=> v124(constB157, 1))))),
% 15.38/10.61 inference(modus_ponens,[status(thm)],[14806, 14805])).
% 15.38/10.61 tff(14808,plain,
% 15.38/10.61 (v105(constB157) | (~(((~v121(constB157, 2)) <=> v124(constB157, 2)) | ((~v121(constB157, 0)) <=> v124(constB157, 0)) | ((~v121(constB157, 1)) <=> v124(constB157, 1))))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[14807, 891])).
% 15.38/10.61 tff(14809,plain,
% 15.38/10.61 (~(((~v121(constB157, 2)) <=> v124(constB157, 2)) | ((~v121(constB157, 0)) <=> v124(constB157, 0)) | ((~v121(constB157, 1)) <=> v124(constB157, 1)))),
% 15.38/10.61 inference(unit_resolution,[status(thm)],[14808, 14804])).
% 15.48/10.61 tff(14810,plain,
% 15.48/10.61 ((((~v121(constB157, 2)) <=> v124(constB157, 2)) | ((~v121(constB157, 0)) <=> v124(constB157, 0)) | ((~v121(constB157, 1)) <=> v124(constB157, 1))) | (~((~v121(constB157, 2)) <=> v124(constB157, 2)))),
% 15.48/10.61 inference(tautology,[status(thm)],[])).
% 15.48/10.61 tff(14811,plain,
% 15.48/10.61 (~((~v121(constB157, 2)) <=> v124(constB157, 2))),
% 15.48/10.61 inference(unit_resolution,[status(thm)],[14810, 14809])).
% 15.48/10.61 tff(14812,plain,
% 15.48/10.61 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB157) <=> (~(v84(constB157, 1) | v84(constB157, 2) | (~v84(constB157, 0)))))),
% 15.48/10.61 inference(quant_inst,[status(thm)],[])).
% 15.48/10.61 tff(14813,plain,
% 15.48/10.61 (v114(constB157) <=> (~(v84(constB157, 1) | v84(constB157, 2) | (~v84(constB157, 0))))),
% 15.48/10.61 inference(unit_resolution,[status(thm)],[14812, 1064])).
% 15.48/10.61 tff(14814,plain,
% 15.48/10.61 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 15.48/10.61 inference(rewrite,[status(thm)],[])).
% 15.48/10.61 tff(14815,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_156')).
% 15.48/10.61 tff(14816,plain,
% 15.48/10.61 (nextState(constB156, constB157)),
% 15.48/10.61 inference(modus_ponens,[status(thm)],[14815, 14814])).
% 15.48/10.61 tff(14817,plain,
% 15.48/10.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB156, constB157)) | (v94(constB157) <=> (~((~v95(constB157)) | (~v104(constB157))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB156, constB157)) | (v94(constB157) <=> (~((~v95(constB157)) | (~v104(constB157))))))),
% 15.48/10.61 inference(rewrite,[status(thm)],[])).
% 15.48/10.61 tff(14818,plain,
% 15.48/10.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB156, constB157)) | (v94(constB157) <=> (~((~v95(constB157)) | (~v104(constB157))))))),
% 15.48/10.61 inference(quant_inst,[status(thm)],[])).
% 15.48/10.61 tff(14819,plain,
% 15.48/10.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB156, constB157)) | (v94(constB157) <=> (~((~v95(constB157)) | (~v104(constB157)))))),
% 15.48/10.61 inference(modus_ponens,[status(thm)],[14818, 14817])).
% 15.48/10.61 tff(14820,plain,
% 15.48/10.61 (v94(constB157) <=> (~((~v95(constB157)) | (~v104(constB157))))),
% 15.48/10.61 inference(unit_resolution,[status(thm)],[14819, 14816, 770])).
% 15.48/10.61 tff(14821,plain,
% 15.48/10.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157))))))),
% 15.48/10.61 inference(rewrite,[status(thm)],[])).
% 15.48/10.61 tff(14822,plain,
% 15.48/10.61 (((~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v96(constB157)) | (~v1(constB157)))))) <=> ((~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157))))))),
% 15.48/10.61 inference(rewrite,[status(thm)],[])).
% 15.48/10.61 tff(14823,plain,
% 15.48/10.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v96(constB157)) | (~v1(constB157))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157)))))))),
% 15.48/10.61 inference(monotonicity,[status(thm)],[14822])).
% 15.48/10.61 tff(14824,plain,
% 15.48/10.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v96(constB157)) | (~v1(constB157))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157))))))),
% 15.48/10.61 inference(transitivity,[status(thm)],[14823, 14821])).
% 15.48/10.61 tff(14825,plain,
% 15.48/10.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v96(constB157)) | (~v1(constB157))))))),
% 15.48/10.61 inference(quant_inst,[status(thm)],[])).
% 15.48/10.61 tff(14826,plain,
% 15.48/10.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157)))))),
% 15.48/10.61 inference(modus_ponens,[status(thm)],[14825, 14824])).
% 15.48/10.61 tff(14827,plain,
% 15.48/10.61 (v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157))))),
% 15.48/10.61 inference(unit_resolution,[status(thm)],[14826, 14816, 790])).
% 15.48/10.61 tff(14828,plain,
% 15.48/10.61 ((~v1(constB157)) <=> (~v1(constB157))),
% 15.48/10.61 inference(rewrite,[status(thm)],[])).
% 15.48/10.61 tff(14829,axiom,(~v1(constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_157')).
% 15.48/10.61 tff(14830,plain,
% 15.48/10.61 (~v1(constB157)),
% 15.48/10.61 inference(modus_ponens,[status(thm)],[14829, 14828])).
% 15.48/10.61 tff(14831,plain,
% 15.48/10.61 (((~v1(constB157)) | (~v96(constB157))) | v1(constB157)),
% 15.48/10.61 inference(tautology,[status(thm)],[])).
% 15.48/10.61 tff(14832,plain,
% 15.48/10.61 ((~v1(constB157)) | (~v96(constB157))),
% 15.48/10.61 inference(unit_resolution,[status(thm)],[14831, 14830])).
% 15.48/10.61 tff(14833,plain,
% 15.48/10.61 ((~(v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157)))))) | (~v95(constB157)) | (~((~v1(constB157)) | (~v96(constB157))))),
% 15.48/10.61 inference(tautology,[status(thm)],[])).
% 15.48/10.61 tff(14834,plain,
% 15.48/10.61 ((~(v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157)))))) | (~v95(constB157))),
% 15.48/10.61 inference(unit_resolution,[status(thm)],[14833, 14832])).
% 15.48/10.61 tff(14835,plain,
% 15.48/10.61 (~v95(constB157)),
% 15.48/10.61 inference(unit_resolution,[status(thm)],[14834, 14827])).
% 15.48/10.61 tff(14836,plain,
% 15.48/10.61 (((~v95(constB157)) | (~v104(constB157))) | v95(constB157)),
% 15.48/10.61 inference(tautology,[status(thm)],[])).
% 15.48/10.61 tff(14837,plain,
% 15.48/10.61 ((~v95(constB157)) | (~v104(constB157))),
% 15.48/10.61 inference(unit_resolution,[status(thm)],[14836, 14835])).
% 15.48/10.61 tff(14838,plain,
% 15.48/10.61 ((~(v94(constB157) <=> (~((~v95(constB157)) | (~v104(constB157)))))) | (~v94(constB157)) | (~((~v95(constB157)) | (~v104(constB157))))),
% 15.48/10.61 inference(tautology,[status(thm)],[])).
% 15.48/10.61 tff(14839,plain,
% 15.48/10.61 (~v94(constB157)),
% 15.48/10.61 inference(unit_resolution,[status(thm)],[14838, 14837, 14820])).
% 15.48/10.61 tff(14840,plain,
% 15.48/10.61 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB157) | (~nextState(constB156, constB157)) | (~(((~v84(constB157, 1)) <=> v84(constB156, 1)) | ((~v84(constB157, 2)) <=> v84(constB156, 2)) | ((~v84(constB157, 0)) <=> v84(constB156, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB157) | (~nextState(constB156, constB157)) | (~(((~v84(constB157, 1)) <=> v84(constB156, 1)) | ((~v84(constB157, 2)) <=> v84(constB156, 2)) | ((~v84(constB157, 0)) <=> v84(constB156, 0)))))),
% 15.48/10.61 inference(rewrite,[status(thm)],[])).
% 15.48/10.61 tff(14841,plain,
% 15.48/10.61 ((v94(constB157) | (~nextState(constB156, constB157)) | (~(((~v84(constB157, 2)) <=> v84(constB156, 2)) | ((~v84(constB157, 1)) <=> v84(constB156, 1)) | ((~v84(constB157, 0)) <=> v84(constB156, 0))))) <=> (v94(constB157) | (~nextState(constB156, constB157)) | (~(((~v84(constB157, 1)) <=> v84(constB156, 1)) | ((~v84(constB157, 2)) <=> v84(constB156, 2)) | ((~v84(constB157, 0)) <=> v84(constB156, 0)))))),
% 15.48/10.61 inference(rewrite,[status(thm)],[])).
% 15.48/10.61 tff(14842,plain,
% 15.48/10.61 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB157) | (~nextState(constB156, constB157)) | (~(((~v84(constB157, 2)) <=> v84(constB156, 2)) | ((~v84(constB157, 1)) <=> v84(constB156, 1)) | ((~v84(constB157, 0)) <=> v84(constB156, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB157) | (~nextState(constB156, constB157)) | (~(((~v84(constB157, 1)) <=> v84(constB156, 1)) | ((~v84(constB157, 2)) <=> v84(constB156, 2)) | ((~v84(constB157, 0)) <=> v84(constB156, 0))))))),
% 15.48/10.61 inference(monotonicity,[status(thm)],[14841])).
% 15.48/10.61 tff(14843,plain,
% 15.48/10.61 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB157) | (~nextState(constB156, constB157)) | (~(((~v84(constB157, 2)) <=> v84(constB156, 2)) | ((~v84(constB157, 1)) <=> v84(constB156, 1)) | ((~v84(constB157, 0)) <=> v84(constB156, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB157) | (~nextState(constB156, constB157)) | (~(((~v84(constB157, 1)) <=> v84(constB156, 1)) | ((~v84(constB157, 2)) <=> v84(constB156, 2)) | ((~v84(constB157, 0)) <=> v84(constB156, 0)))))),
% 15.48/10.61 inference(transitivity,[status(thm)],[14842, 14840])).
% 15.48/10.61 tff(14844,plain,
% 15.48/10.61 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB157) | (~nextState(constB156, constB157)) | (~(((~v84(constB157, 2)) <=> v84(constB156, 2)) | ((~v84(constB157, 1)) <=> v84(constB156, 1)) | ((~v84(constB157, 0)) <=> v84(constB156, 0)))))),
% 15.48/10.61 inference(quant_inst,[status(thm)],[])).
% 15.48/10.61 tff(14845,plain,
% 15.48/10.61 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB157) | (~nextState(constB156, constB157)) | (~(((~v84(constB157, 1)) <=> v84(constB156, 1)) | ((~v84(constB157, 2)) <=> v84(constB156, 2)) | ((~v84(constB157, 0)) <=> v84(constB156, 0))))),
% 15.48/10.61 inference(modus_ponens,[status(thm)],[14844, 14843])).
% 15.48/10.61 tff(14846,plain,
% 15.48/10.61 (v94(constB157) | (~(((~v84(constB157, 1)) <=> v84(constB156, 1)) | ((~v84(constB157, 2)) <=> v84(constB156, 2)) | ((~v84(constB157, 0)) <=> v84(constB156, 0))))),
% 15.48/10.61 inference(unit_resolution,[status(thm)],[14845, 14816, 819])).
% 15.48/10.61 tff(14847,plain,
% 15.48/10.61 (~(((~v84(constB157, 1)) <=> v84(constB156, 1)) | ((~v84(constB157, 2)) <=> v84(constB156, 2)) | ((~v84(constB157, 0)) <=> v84(constB156, 0)))),
% 15.48/10.61 inference(unit_resolution,[status(thm)],[14846, 14839])).
% 15.48/10.61 tff(14848,plain,
% 15.48/10.61 ((((~v84(constB157, 1)) <=> v84(constB156, 1)) | ((~v84(constB157, 2)) <=> v84(constB156, 2)) | ((~v84(constB157, 0)) <=> v84(constB156, 0))) | (~((~v84(constB157, 2)) <=> v84(constB156, 2)))),
% 15.48/10.61 inference(tautology,[status(thm)],[])).
% 15.48/10.61 tff(14849,plain,
% 15.48/10.61 (~((~v84(constB157, 2)) <=> v84(constB156, 2))),
% 15.48/10.61 inference(unit_resolution,[status(thm)],[14848, 14847])).
% 15.48/10.61 tff(14850,plain,
% 15.48/10.61 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 15.48/10.62 inference(rewrite,[status(thm)],[])).
% 15.48/10.62 tff(14851,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_155')).
% 15.48/10.62 tff(14852,plain,
% 15.48/10.62 (nextState(constB155, constB156)),
% 15.48/10.62 inference(modus_ponens,[status(thm)],[14851, 14850])).
% 15.48/10.62 tff(14853,plain,
% 15.48/10.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB155, constB156)) | (~(((~v123(constB156, 2)) <=> v121(constB155, 2)) | ((~v123(constB156, 1)) <=> v121(constB155, 1)) | ((~v123(constB156, 0)) <=> v121(constB155, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB155, constB156)) | (~(((~v123(constB156, 2)) <=> v121(constB155, 2)) | ((~v123(constB156, 1)) <=> v121(constB155, 1)) | ((~v123(constB156, 0)) <=> v121(constB155, 0)))))),
% 15.48/10.62 inference(rewrite,[status(thm)],[])).
% 15.48/10.62 tff(14854,plain,
% 15.48/10.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB155, constB156)) | (~(((~v123(constB156, 2)) <=> v121(constB155, 2)) | ((~v123(constB156, 1)) <=> v121(constB155, 1)) | ((~v123(constB156, 0)) <=> v121(constB155, 0)))))),
% 15.48/10.62 inference(quant_inst,[status(thm)],[])).
% 15.48/10.62 tff(14855,plain,
% 15.48/10.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB155, constB156)) | (~(((~v123(constB156, 2)) <=> v121(constB155, 2)) | ((~v123(constB156, 1)) <=> v121(constB155, 1)) | ((~v123(constB156, 0)) <=> v121(constB155, 0))))),
% 15.48/10.62 inference(modus_ponens,[status(thm)],[14854, 14853])).
% 15.48/10.62 tff(14856,plain,
% 15.48/10.62 (~(((~v123(constB156, 2)) <=> v121(constB155, 2)) | ((~v123(constB156, 1)) <=> v121(constB155, 1)) | ((~v123(constB156, 0)) <=> v121(constB155, 0)))),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14855, 14852, 842])).
% 15.48/10.62 tff(14857,plain,
% 15.48/10.62 ((((~v123(constB156, 2)) <=> v121(constB155, 2)) | ((~v123(constB156, 1)) <=> v121(constB155, 1)) | ((~v123(constB156, 0)) <=> v121(constB155, 0))) | (~((~v123(constB156, 2)) <=> v121(constB155, 2)))),
% 15.48/10.62 inference(tautology,[status(thm)],[])).
% 15.48/10.62 tff(14858,plain,
% 15.48/10.62 (~((~v123(constB156, 2)) <=> v121(constB155, 2))),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14857, 14856])).
% 15.48/10.62 tff(14859,plain,
% 15.48/10.62 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB155) <=> v26(constB155))),
% 15.48/10.62 inference(quant_inst,[status(thm)],[])).
% 15.48/10.62 tff(14860,plain,
% 15.48/10.62 (v105(constB155) <=> v26(constB155)),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14859, 861])).
% 15.48/10.62 tff(14861,plain,
% 15.48/10.62 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB155))),
% 15.48/10.62 inference(quant_inst,[status(thm)],[])).
% 15.48/10.62 tff(14862,plain,
% 15.48/10.62 (~v26(constB155)),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14861, 873])).
% 15.48/10.62 tff(14863,plain,
% 15.48/10.62 ((~(v105(constB155) <=> v26(constB155))) | (~v105(constB155)) | v26(constB155)),
% 15.48/10.62 inference(tautology,[status(thm)],[])).
% 15.48/10.62 tff(14864,plain,
% 15.48/10.62 ((~(v105(constB155) <=> v26(constB155))) | (~v105(constB155))),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14863, 14862])).
% 15.48/10.62 tff(14865,plain,
% 15.48/10.62 (~v105(constB155)),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14864, 14860])).
% 15.48/10.62 tff(14866,plain,
% 15.48/10.62 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB155) | (~(((~v121(constB155, 2)) <=> v124(constB155, 2)) | ((~v121(constB155, 0)) <=> v124(constB155, 0)) | ((~v121(constB155, 1)) <=> v124(constB155, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB155) | (~(((~v121(constB155, 2)) <=> v124(constB155, 2)) | ((~v121(constB155, 0)) <=> v124(constB155, 0)) | ((~v121(constB155, 1)) <=> v124(constB155, 1)))))),
% 15.48/10.62 inference(rewrite,[status(thm)],[])).
% 15.48/10.62 tff(14867,plain,
% 15.48/10.62 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB155) | (~(((~v121(constB155, 2)) <=> v124(constB155, 2)) | ((~v121(constB155, 0)) <=> v124(constB155, 0)) | ((~v121(constB155, 1)) <=> v124(constB155, 1)))))),
% 15.48/10.62 inference(quant_inst,[status(thm)],[])).
% 15.48/10.62 tff(14868,plain,
% 15.48/10.62 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB155) | (~(((~v121(constB155, 2)) <=> v124(constB155, 2)) | ((~v121(constB155, 0)) <=> v124(constB155, 0)) | ((~v121(constB155, 1)) <=> v124(constB155, 1))))),
% 15.48/10.62 inference(modus_ponens,[status(thm)],[14867, 14866])).
% 15.48/10.62 tff(14869,plain,
% 15.48/10.62 (v105(constB155) | (~(((~v121(constB155, 2)) <=> v124(constB155, 2)) | ((~v121(constB155, 0)) <=> v124(constB155, 0)) | ((~v121(constB155, 1)) <=> v124(constB155, 1))))),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14868, 891])).
% 15.48/10.62 tff(14870,plain,
% 15.48/10.62 (~(((~v121(constB155, 2)) <=> v124(constB155, 2)) | ((~v121(constB155, 0)) <=> v124(constB155, 0)) | ((~v121(constB155, 1)) <=> v124(constB155, 1)))),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14869, 14865])).
% 15.48/10.62 tff(14871,plain,
% 15.48/10.62 ((((~v121(constB155, 2)) <=> v124(constB155, 2)) | ((~v121(constB155, 0)) <=> v124(constB155, 0)) | ((~v121(constB155, 1)) <=> v124(constB155, 1))) | (~((~v121(constB155, 2)) <=> v124(constB155, 2)))),
% 15.48/10.62 inference(tautology,[status(thm)],[])).
% 15.48/10.62 tff(14872,plain,
% 15.48/10.62 (~((~v121(constB155, 2)) <=> v124(constB155, 2))),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14871, 14870])).
% 15.48/10.62 tff(14873,plain,
% 15.48/10.62 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB155) <=> (~(v84(constB155, 1) | v84(constB155, 2) | (~v84(constB155, 0)))))),
% 15.48/10.62 inference(quant_inst,[status(thm)],[])).
% 15.48/10.62 tff(14874,plain,
% 15.48/10.62 (v114(constB155) <=> (~(v84(constB155, 1) | v84(constB155, 2) | (~v84(constB155, 0))))),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14873, 1064])).
% 15.48/10.62 tff(14875,plain,
% 15.48/10.62 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 15.48/10.62 inference(rewrite,[status(thm)],[])).
% 15.48/10.62 tff(14876,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_154')).
% 15.48/10.62 tff(14877,plain,
% 15.48/10.62 (nextState(constB154, constB155)),
% 15.48/10.62 inference(modus_ponens,[status(thm)],[14876, 14875])).
% 15.48/10.62 tff(14878,plain,
% 15.48/10.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB154, constB155)) | (v94(constB155) <=> (~((~v95(constB155)) | (~v104(constB155))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB154, constB155)) | (v94(constB155) <=> (~((~v95(constB155)) | (~v104(constB155))))))),
% 15.48/10.62 inference(rewrite,[status(thm)],[])).
% 15.48/10.62 tff(14879,plain,
% 15.48/10.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB154, constB155)) | (v94(constB155) <=> (~((~v95(constB155)) | (~v104(constB155))))))),
% 15.48/10.62 inference(quant_inst,[status(thm)],[])).
% 15.48/10.62 tff(14880,plain,
% 15.48/10.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB154, constB155)) | (v94(constB155) <=> (~((~v95(constB155)) | (~v104(constB155)))))),
% 15.48/10.62 inference(modus_ponens,[status(thm)],[14879, 14878])).
% 15.48/10.62 tff(14881,plain,
% 15.48/10.62 (v94(constB155) <=> (~((~v95(constB155)) | (~v104(constB155))))),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14880, 14877, 770])).
% 15.48/10.62 tff(14882,plain,
% 15.48/10.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155))))))),
% 15.48/10.62 inference(rewrite,[status(thm)],[])).
% 15.48/10.62 tff(14883,plain,
% 15.48/10.62 (((~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v96(constB155)) | (~v1(constB155)))))) <=> ((~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155))))))),
% 15.48/10.62 inference(rewrite,[status(thm)],[])).
% 15.48/10.62 tff(14884,plain,
% 15.48/10.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v96(constB155)) | (~v1(constB155))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155)))))))),
% 15.48/10.62 inference(monotonicity,[status(thm)],[14883])).
% 15.48/10.62 tff(14885,plain,
% 15.48/10.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v96(constB155)) | (~v1(constB155))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155))))))),
% 15.48/10.62 inference(transitivity,[status(thm)],[14884, 14882])).
% 15.48/10.62 tff(14886,plain,
% 15.48/10.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v96(constB155)) | (~v1(constB155))))))),
% 15.48/10.62 inference(quant_inst,[status(thm)],[])).
% 15.48/10.62 tff(14887,plain,
% 15.48/10.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155)))))),
% 15.48/10.62 inference(modus_ponens,[status(thm)],[14886, 14885])).
% 15.48/10.62 tff(14888,plain,
% 15.48/10.62 (v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155))))),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14887, 14877, 790])).
% 15.48/10.62 tff(14889,plain,
% 15.48/10.62 ((~v1(constB155)) <=> (~v1(constB155))),
% 15.48/10.62 inference(rewrite,[status(thm)],[])).
% 15.48/10.62 tff(14890,axiom,(~v1(constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_155')).
% 15.48/10.62 tff(14891,plain,
% 15.48/10.62 (~v1(constB155)),
% 15.48/10.62 inference(modus_ponens,[status(thm)],[14890, 14889])).
% 15.48/10.62 tff(14892,plain,
% 15.48/10.62 (((~v1(constB155)) | (~v96(constB155))) | v1(constB155)),
% 15.48/10.62 inference(tautology,[status(thm)],[])).
% 15.48/10.62 tff(14893,plain,
% 15.48/10.62 ((~v1(constB155)) | (~v96(constB155))),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14892, 14891])).
% 15.48/10.62 tff(14894,plain,
% 15.48/10.62 ((~(v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155)))))) | (~v95(constB155)) | (~((~v1(constB155)) | (~v96(constB155))))),
% 15.48/10.62 inference(tautology,[status(thm)],[])).
% 15.48/10.62 tff(14895,plain,
% 15.48/10.62 ((~(v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155)))))) | (~v95(constB155))),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14894, 14893])).
% 15.48/10.62 tff(14896,plain,
% 15.48/10.62 (~v95(constB155)),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14895, 14888])).
% 15.48/10.62 tff(14897,plain,
% 15.48/10.62 (((~v95(constB155)) | (~v104(constB155))) | v95(constB155)),
% 15.48/10.62 inference(tautology,[status(thm)],[])).
% 15.48/10.62 tff(14898,plain,
% 15.48/10.62 ((~v95(constB155)) | (~v104(constB155))),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14897, 14896])).
% 15.48/10.62 tff(14899,plain,
% 15.48/10.62 ((~(v94(constB155) <=> (~((~v95(constB155)) | (~v104(constB155)))))) | (~v94(constB155)) | (~((~v95(constB155)) | (~v104(constB155))))),
% 15.48/10.62 inference(tautology,[status(thm)],[])).
% 15.48/10.62 tff(14900,plain,
% 15.48/10.62 (~v94(constB155)),
% 15.48/10.62 inference(unit_resolution,[status(thm)],[14899, 14898, 14881])).
% 15.48/10.62 tff(14901,plain,
% 15.48/10.62 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB155) | (~nextState(constB154, constB155)) | (~(((~v84(constB155, 1)) <=> v84(constB154, 1)) | ((~v84(constB155, 2)) <=> v84(constB154, 2)) | ((~v84(constB155, 0)) <=> v84(constB154, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB155) | (~nextState(constB154, constB155)) | (~(((~v84(constB155, 1)) <=> v84(constB154, 1)) | ((~v84(constB155, 2)) <=> v84(constB154, 2)) | ((~v84(constB155, 0)) <=> v84(constB154, 0)))))),
% 15.48/10.62 inference(rewrite,[status(thm)],[])).
% 15.48/10.62 tff(14902,plain,
% 15.48/10.62 ((v94(constB155) | (~nextState(constB154, constB155)) | (~(((~v84(constB155, 2)) <=> v84(constB154, 2)) | ((~v84(constB155, 1)) <=> v84(constB154, 1)) | ((~v84(constB155, 0)) <=> v84(constB154, 0))))) <=> (v94(constB155) | (~nextState(constB154, constB155)) | (~(((~v84(constB155, 1)) <=> v84(constB154, 1)) | ((~v84(constB155, 2)) <=> v84(constB154, 2)) | ((~v84(constB155, 0)) <=> v84(constB154, 0)))))),
% 15.48/10.62 inference(rewrite,[status(thm)],[])).
% 15.48/10.62 tff(14903,plain,
% 15.48/10.62 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB155) | (~nextState(constB154, constB155)) | (~(((~v84(constB155, 2)) <=> v84(constB154, 2)) | ((~v84(constB155, 1)) <=> v84(constB154, 1)) | ((~v84(constB155, 0)) <=> v84(constB154, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB155) | (~nextState(constB154, constB155)) | (~(((~v84(constB155, 1)) <=> v84(constB154, 1)) | ((~v84(constB155, 2)) <=> v84(constB154, 2)) | ((~v84(constB155, 0)) <=> v84(constB154, 0))))))),
% 15.48/10.62 inference(monotonicity,[status(thm)],[14902])).
% 15.48/10.62 tff(14904,plain,
% 15.48/10.62 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB155) | (~nextState(constB154, constB155)) | (~(((~v84(constB155, 2)) <=> v84(constB154, 2)) | ((~v84(constB155, 1)) <=> v84(constB154, 1)) | ((~v84(constB155, 0)) <=> v84(constB154, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB155) | (~nextState(constB154, constB155)) | (~(((~v84(constB155, 1)) <=> v84(constB154, 1)) | ((~v84(constB155, 2)) <=> v84(constB154, 2)) | ((~v84(constB155, 0)) <=> v84(constB154, 0)))))),
% 15.48/10.62 inference(transitivity,[status(thm)],[14903, 14901])).
% 15.48/10.62 tff(14905,plain,
% 15.48/10.62 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB155) | (~nextState(constB154, constB155)) | (~(((~v84(constB155, 2)) <=> v84(constB154, 2)) | ((~v84(constB155, 1)) <=> v84(constB154, 1)) | ((~v84(constB155, 0)) <=> v84(constB154, 0)))))),
% 15.48/10.63 inference(quant_inst,[status(thm)],[])).
% 15.48/10.63 tff(14906,plain,
% 15.48/10.63 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB155) | (~nextState(constB154, constB155)) | (~(((~v84(constB155, 1)) <=> v84(constB154, 1)) | ((~v84(constB155, 2)) <=> v84(constB154, 2)) | ((~v84(constB155, 0)) <=> v84(constB154, 0))))),
% 15.48/10.63 inference(modus_ponens,[status(thm)],[14905, 14904])).
% 15.48/10.63 tff(14907,plain,
% 15.48/10.63 (v94(constB155) | (~(((~v84(constB155, 1)) <=> v84(constB154, 1)) | ((~v84(constB155, 2)) <=> v84(constB154, 2)) | ((~v84(constB155, 0)) <=> v84(constB154, 0))))),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14906, 14877, 819])).
% 15.48/10.63 tff(14908,plain,
% 15.48/10.63 (~(((~v84(constB155, 1)) <=> v84(constB154, 1)) | ((~v84(constB155, 2)) <=> v84(constB154, 2)) | ((~v84(constB155, 0)) <=> v84(constB154, 0)))),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14907, 14900])).
% 15.48/10.63 tff(14909,plain,
% 15.48/10.63 ((((~v84(constB155, 1)) <=> v84(constB154, 1)) | ((~v84(constB155, 2)) <=> v84(constB154, 2)) | ((~v84(constB155, 0)) <=> v84(constB154, 0))) | (~((~v84(constB155, 0)) <=> v84(constB154, 0)))),
% 15.48/10.63 inference(tautology,[status(thm)],[])).
% 15.48/10.63 tff(14910,plain,
% 15.48/10.63 (~((~v84(constB155, 0)) <=> v84(constB154, 0))),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14909, 14908])).
% 15.48/10.63 tff(14911,plain,
% 15.48/10.63 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 15.48/10.63 inference(rewrite,[status(thm)],[])).
% 15.48/10.63 tff(14912,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_153')).
% 15.48/10.63 tff(14913,plain,
% 15.48/10.63 (nextState(constB153, constB154)),
% 15.48/10.63 inference(modus_ponens,[status(thm)],[14912, 14911])).
% 15.48/10.63 tff(14914,plain,
% 15.48/10.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB153, constB154)) | (~(((~v123(constB154, 2)) <=> v121(constB153, 2)) | ((~v123(constB154, 1)) <=> v121(constB153, 1)) | ((~v123(constB154, 0)) <=> v121(constB153, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB153, constB154)) | (~(((~v123(constB154, 2)) <=> v121(constB153, 2)) | ((~v123(constB154, 1)) <=> v121(constB153, 1)) | ((~v123(constB154, 0)) <=> v121(constB153, 0)))))),
% 15.48/10.63 inference(rewrite,[status(thm)],[])).
% 15.48/10.63 tff(14915,plain,
% 15.48/10.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB153, constB154)) | (~(((~v123(constB154, 2)) <=> v121(constB153, 2)) | ((~v123(constB154, 1)) <=> v121(constB153, 1)) | ((~v123(constB154, 0)) <=> v121(constB153, 0)))))),
% 15.48/10.63 inference(quant_inst,[status(thm)],[])).
% 15.48/10.63 tff(14916,plain,
% 15.48/10.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB153, constB154)) | (~(((~v123(constB154, 2)) <=> v121(constB153, 2)) | ((~v123(constB154, 1)) <=> v121(constB153, 1)) | ((~v123(constB154, 0)) <=> v121(constB153, 0))))),
% 15.48/10.63 inference(modus_ponens,[status(thm)],[14915, 14914])).
% 15.48/10.63 tff(14917,plain,
% 15.48/10.63 (~(((~v123(constB154, 2)) <=> v121(constB153, 2)) | ((~v123(constB154, 1)) <=> v121(constB153, 1)) | ((~v123(constB154, 0)) <=> v121(constB153, 0)))),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14916, 14913, 842])).
% 15.48/10.63 tff(14918,plain,
% 15.48/10.63 ((((~v123(constB154, 2)) <=> v121(constB153, 2)) | ((~v123(constB154, 1)) <=> v121(constB153, 1)) | ((~v123(constB154, 0)) <=> v121(constB153, 0))) | (~((~v123(constB154, 0)) <=> v121(constB153, 0)))),
% 15.48/10.63 inference(tautology,[status(thm)],[])).
% 15.48/10.63 tff(14919,plain,
% 15.48/10.63 (~((~v123(constB154, 0)) <=> v121(constB153, 0))),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14918, 14917])).
% 15.48/10.63 tff(14920,plain,
% 15.48/10.63 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB153) <=> v26(constB153))),
% 15.48/10.63 inference(quant_inst,[status(thm)],[])).
% 15.48/10.63 tff(14921,plain,
% 15.48/10.63 (v105(constB153) <=> v26(constB153)),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14920, 861])).
% 15.48/10.63 tff(14922,plain,
% 15.48/10.63 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB153))),
% 15.48/10.63 inference(quant_inst,[status(thm)],[])).
% 15.48/10.63 tff(14923,plain,
% 15.48/10.63 (~v26(constB153)),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14922, 873])).
% 15.48/10.63 tff(14924,plain,
% 15.48/10.63 ((~(v105(constB153) <=> v26(constB153))) | (~v105(constB153)) | v26(constB153)),
% 15.48/10.63 inference(tautology,[status(thm)],[])).
% 15.48/10.63 tff(14925,plain,
% 15.48/10.63 ((~(v105(constB153) <=> v26(constB153))) | (~v105(constB153))),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14924, 14923])).
% 15.48/10.63 tff(14926,plain,
% 15.48/10.63 (~v105(constB153)),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14925, 14921])).
% 15.48/10.63 tff(14927,plain,
% 15.48/10.63 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB153) | (~(((~v121(constB153, 2)) <=> v124(constB153, 2)) | ((~v121(constB153, 0)) <=> v124(constB153, 0)) | ((~v121(constB153, 1)) <=> v124(constB153, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB153) | (~(((~v121(constB153, 2)) <=> v124(constB153, 2)) | ((~v121(constB153, 0)) <=> v124(constB153, 0)) | ((~v121(constB153, 1)) <=> v124(constB153, 1)))))),
% 15.48/10.63 inference(rewrite,[status(thm)],[])).
% 15.48/10.63 tff(14928,plain,
% 15.48/10.63 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB153) | (~(((~v121(constB153, 2)) <=> v124(constB153, 2)) | ((~v121(constB153, 0)) <=> v124(constB153, 0)) | ((~v121(constB153, 1)) <=> v124(constB153, 1)))))),
% 15.48/10.63 inference(quant_inst,[status(thm)],[])).
% 15.48/10.63 tff(14929,plain,
% 15.48/10.63 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB153) | (~(((~v121(constB153, 2)) <=> v124(constB153, 2)) | ((~v121(constB153, 0)) <=> v124(constB153, 0)) | ((~v121(constB153, 1)) <=> v124(constB153, 1))))),
% 15.48/10.63 inference(modus_ponens,[status(thm)],[14928, 14927])).
% 15.48/10.63 tff(14930,plain,
% 15.48/10.63 (v105(constB153) | (~(((~v121(constB153, 2)) <=> v124(constB153, 2)) | ((~v121(constB153, 0)) <=> v124(constB153, 0)) | ((~v121(constB153, 1)) <=> v124(constB153, 1))))),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14929, 891])).
% 15.48/10.63 tff(14931,plain,
% 15.48/10.63 (~(((~v121(constB153, 2)) <=> v124(constB153, 2)) | ((~v121(constB153, 0)) <=> v124(constB153, 0)) | ((~v121(constB153, 1)) <=> v124(constB153, 1)))),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14930, 14926])).
% 15.48/10.63 tff(14932,plain,
% 15.48/10.63 ((((~v121(constB153, 2)) <=> v124(constB153, 2)) | ((~v121(constB153, 0)) <=> v124(constB153, 0)) | ((~v121(constB153, 1)) <=> v124(constB153, 1))) | (~((~v121(constB153, 0)) <=> v124(constB153, 0)))),
% 15.48/10.63 inference(tautology,[status(thm)],[])).
% 15.48/10.63 tff(14933,plain,
% 15.48/10.63 (~((~v121(constB153, 0)) <=> v124(constB153, 0))),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14932, 14931])).
% 15.48/10.63 tff(14934,plain,
% 15.48/10.63 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB153) <=> (~(v84(constB153, 1) | v84(constB153, 0) | (~v84(constB153, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB153) <=> (~(v84(constB153, 1) | v84(constB153, 0) | (~v84(constB153, 2))))))),
% 15.48/10.63 inference(rewrite,[status(thm)],[])).
% 15.48/10.63 tff(14935,plain,
% 15.48/10.63 ((v117(constB153) <=> (~(v84(constB153, 0) | v84(constB153, 1) | (~v84(constB153, 2))))) <=> (v117(constB153) <=> (~(v84(constB153, 1) | v84(constB153, 0) | (~v84(constB153, 2)))))),
% 15.48/10.63 inference(rewrite,[status(thm)],[])).
% 15.48/10.63 tff(14936,plain,
% 15.48/10.63 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB153) <=> (~(v84(constB153, 0) | v84(constB153, 1) | (~v84(constB153, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB153) <=> (~(v84(constB153, 1) | v84(constB153, 0) | (~v84(constB153, 2))))))),
% 15.48/10.63 inference(monotonicity,[status(thm)],[14935])).
% 15.48/10.63 tff(14937,plain,
% 15.48/10.63 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB153) <=> (~(v84(constB153, 0) | v84(constB153, 1) | (~v84(constB153, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB153) <=> (~(v84(constB153, 1) | v84(constB153, 0) | (~v84(constB153, 2))))))),
% 15.48/10.63 inference(transitivity,[status(thm)],[14936, 14934])).
% 15.48/10.63 tff(14938,plain,
% 15.48/10.63 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB153) <=> (~(v84(constB153, 0) | v84(constB153, 1) | (~v84(constB153, 2)))))),
% 15.48/10.63 inference(quant_inst,[status(thm)],[])).
% 15.48/10.63 tff(14939,plain,
% 15.48/10.63 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB153) <=> (~(v84(constB153, 1) | v84(constB153, 0) | (~v84(constB153, 2)))))),
% 15.48/10.63 inference(modus_ponens,[status(thm)],[14938, 14937])).
% 15.48/10.63 tff(14940,plain,
% 15.48/10.63 (v117(constB153) <=> (~(v84(constB153, 1) | v84(constB153, 0) | (~v84(constB153, 2))))),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14939, 1199])).
% 15.48/10.63 tff(14941,plain,
% 15.48/10.63 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 15.48/10.63 inference(rewrite,[status(thm)],[])).
% 15.48/10.63 tff(14942,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_152')).
% 15.48/10.63 tff(14943,plain,
% 15.48/10.63 (nextState(constB152, constB153)),
% 15.48/10.63 inference(modus_ponens,[status(thm)],[14942, 14941])).
% 15.48/10.63 tff(14944,plain,
% 15.48/10.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB152, constB153)) | (v94(constB153) <=> (~((~v95(constB153)) | (~v104(constB153))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB152, constB153)) | (v94(constB153) <=> (~((~v95(constB153)) | (~v104(constB153))))))),
% 15.48/10.63 inference(rewrite,[status(thm)],[])).
% 15.48/10.63 tff(14945,plain,
% 15.48/10.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB152, constB153)) | (v94(constB153) <=> (~((~v95(constB153)) | (~v104(constB153))))))),
% 15.48/10.63 inference(quant_inst,[status(thm)],[])).
% 15.48/10.63 tff(14946,plain,
% 15.48/10.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB152, constB153)) | (v94(constB153) <=> (~((~v95(constB153)) | (~v104(constB153)))))),
% 15.48/10.63 inference(modus_ponens,[status(thm)],[14945, 14944])).
% 15.48/10.63 tff(14947,plain,
% 15.48/10.63 (v94(constB153) <=> (~((~v95(constB153)) | (~v104(constB153))))),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14946, 14943, 770])).
% 15.48/10.63 tff(14948,plain,
% 15.48/10.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153))))))),
% 15.48/10.63 inference(rewrite,[status(thm)],[])).
% 15.48/10.63 tff(14949,plain,
% 15.48/10.63 (((~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v96(constB153)) | (~v1(constB153)))))) <=> ((~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153))))))),
% 15.48/10.63 inference(rewrite,[status(thm)],[])).
% 15.48/10.63 tff(14950,plain,
% 15.48/10.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v96(constB153)) | (~v1(constB153))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153)))))))),
% 15.48/10.63 inference(monotonicity,[status(thm)],[14949])).
% 15.48/10.63 tff(14951,plain,
% 15.48/10.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v96(constB153)) | (~v1(constB153))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153))))))),
% 15.48/10.63 inference(transitivity,[status(thm)],[14950, 14948])).
% 15.48/10.63 tff(14952,plain,
% 15.48/10.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v96(constB153)) | (~v1(constB153))))))),
% 15.48/10.63 inference(quant_inst,[status(thm)],[])).
% 15.48/10.63 tff(14953,plain,
% 15.48/10.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153)))))),
% 15.48/10.63 inference(modus_ponens,[status(thm)],[14952, 14951])).
% 15.48/10.63 tff(14954,plain,
% 15.48/10.63 (v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153))))),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14953, 14943, 790])).
% 15.48/10.63 tff(14955,plain,
% 15.48/10.63 ((~v1(constB153)) <=> (~v1(constB153))),
% 15.48/10.63 inference(rewrite,[status(thm)],[])).
% 15.48/10.63 tff(14956,axiom,(~v1(constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_153')).
% 15.48/10.63 tff(14957,plain,
% 15.48/10.63 (~v1(constB153)),
% 15.48/10.63 inference(modus_ponens,[status(thm)],[14956, 14955])).
% 15.48/10.63 tff(14958,plain,
% 15.48/10.63 (((~v1(constB153)) | (~v96(constB153))) | v1(constB153)),
% 15.48/10.63 inference(tautology,[status(thm)],[])).
% 15.48/10.63 tff(14959,plain,
% 15.48/10.63 ((~v1(constB153)) | (~v96(constB153))),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14958, 14957])).
% 15.48/10.63 tff(14960,plain,
% 15.48/10.63 ((~(v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153)))))) | (~v95(constB153)) | (~((~v1(constB153)) | (~v96(constB153))))),
% 15.48/10.63 inference(tautology,[status(thm)],[])).
% 15.48/10.63 tff(14961,plain,
% 15.48/10.63 ((~(v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153)))))) | (~v95(constB153))),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14960, 14959])).
% 15.48/10.63 tff(14962,plain,
% 15.48/10.63 (~v95(constB153)),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14961, 14954])).
% 15.48/10.63 tff(14963,plain,
% 15.48/10.63 (((~v95(constB153)) | (~v104(constB153))) | v95(constB153)),
% 15.48/10.63 inference(tautology,[status(thm)],[])).
% 15.48/10.63 tff(14964,plain,
% 15.48/10.63 ((~v95(constB153)) | (~v104(constB153))),
% 15.48/10.63 inference(unit_resolution,[status(thm)],[14963, 14962])).
% 15.48/10.63 tff(14965,plain,
% 15.48/10.63 ((~(v94(constB153) <=> (~((~v95(constB153)) | (~v104(constB153)))))) | (~v94(constB153)) | (~((~v95(constB153)) | (~v104(constB153))))),
% 15.48/10.63 inference(tautology,[status(thm)],[])).
% 15.48/10.64 tff(14966,plain,
% 15.48/10.64 (~v94(constB153)),
% 15.48/10.64 inference(unit_resolution,[status(thm)],[14965, 14964, 14947])).
% 15.48/10.64 tff(14967,plain,
% 15.48/10.64 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB153) | (~nextState(constB152, constB153)) | (~(((~v84(constB153, 1)) <=> v84(constB152, 1)) | ((~v84(constB153, 2)) <=> v84(constB152, 2)) | ((~v84(constB153, 0)) <=> v84(constB152, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB153) | (~nextState(constB152, constB153)) | (~(((~v84(constB153, 1)) <=> v84(constB152, 1)) | ((~v84(constB153, 2)) <=> v84(constB152, 2)) | ((~v84(constB153, 0)) <=> v84(constB152, 0)))))),
% 15.48/10.64 inference(rewrite,[status(thm)],[])).
% 15.48/10.64 tff(14968,plain,
% 15.48/10.64 ((v94(constB153) | (~nextState(constB152, constB153)) | (~(((~v84(constB153, 2)) <=> v84(constB152, 2)) | ((~v84(constB153, 1)) <=> v84(constB152, 1)) | ((~v84(constB153, 0)) <=> v84(constB152, 0))))) <=> (v94(constB153) | (~nextState(constB152, constB153)) | (~(((~v84(constB153, 1)) <=> v84(constB152, 1)) | ((~v84(constB153, 2)) <=> v84(constB152, 2)) | ((~v84(constB153, 0)) <=> v84(constB152, 0)))))),
% 15.48/10.64 inference(rewrite,[status(thm)],[])).
% 15.48/10.64 tff(14969,plain,
% 15.48/10.64 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB153) | (~nextState(constB152, constB153)) | (~(((~v84(constB153, 2)) <=> v84(constB152, 2)) | ((~v84(constB153, 1)) <=> v84(constB152, 1)) | ((~v84(constB153, 0)) <=> v84(constB152, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB153) | (~nextState(constB152, constB153)) | (~(((~v84(constB153, 1)) <=> v84(constB152, 1)) | ((~v84(constB153, 2)) <=> v84(constB152, 2)) | ((~v84(constB153, 0)) <=> v84(constB152, 0))))))),
% 15.48/10.64 inference(monotonicity,[status(thm)],[14968])).
% 15.48/10.64 tff(14970,plain,
% 15.48/10.64 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB153) | (~nextState(constB152, constB153)) | (~(((~v84(constB153, 2)) <=> v84(constB152, 2)) | ((~v84(constB153, 1)) <=> v84(constB152, 1)) | ((~v84(constB153, 0)) <=> v84(constB152, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB153) | (~nextState(constB152, constB153)) | (~(((~v84(constB153, 1)) <=> v84(constB152, 1)) | ((~v84(constB153, 2)) <=> v84(constB152, 2)) | ((~v84(constB153, 0)) <=> v84(constB152, 0)))))),
% 15.48/10.64 inference(transitivity,[status(thm)],[14969, 14967])).
% 15.48/10.64 tff(14971,plain,
% 15.48/10.64 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB153) | (~nextState(constB152, constB153)) | (~(((~v84(constB153, 2)) <=> v84(constB152, 2)) | ((~v84(constB153, 1)) <=> v84(constB152, 1)) | ((~v84(constB153, 0)) <=> v84(constB152, 0)))))),
% 15.48/10.64 inference(quant_inst,[status(thm)],[])).
% 15.48/10.64 tff(14972,plain,
% 15.48/10.64 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB153) | (~nextState(constB152, constB153)) | (~(((~v84(constB153, 1)) <=> v84(constB152, 1)) | ((~v84(constB153, 2)) <=> v84(constB152, 2)) | ((~v84(constB153, 0)) <=> v84(constB152, 0))))),
% 15.48/10.64 inference(modus_ponens,[status(thm)],[14971, 14970])).
% 15.48/10.64 tff(14973,plain,
% 15.48/10.64 (v94(constB153) | (~(((~v84(constB153, 1)) <=> v84(constB152, 1)) | ((~v84(constB153, 2)) <=> v84(constB152, 2)) | ((~v84(constB153, 0)) <=> v84(constB152, 0))))),
% 15.48/10.64 inference(unit_resolution,[status(thm)],[14972, 14943, 819])).
% 15.48/10.64 tff(14974,plain,
% 15.48/10.64 (~(((~v84(constB153, 1)) <=> v84(constB152, 1)) | ((~v84(constB153, 2)) <=> v84(constB152, 2)) | ((~v84(constB153, 0)) <=> v84(constB152, 0)))),
% 15.48/10.64 inference(unit_resolution,[status(thm)],[14973, 14966])).
% 15.48/10.64 tff(14975,plain,
% 15.48/10.64 ((((~v84(constB153, 1)) <=> v84(constB152, 1)) | ((~v84(constB153, 2)) <=> v84(constB152, 2)) | ((~v84(constB153, 0)) <=> v84(constB152, 0))) | (~((~v84(constB153, 2)) <=> v84(constB152, 2)))),
% 15.48/10.64 inference(tautology,[status(thm)],[])).
% 15.48/10.64 tff(14976,plain,
% 15.48/10.64 (~((~v84(constB153, 2)) <=> v84(constB152, 2))),
% 15.48/10.64 inference(unit_resolution,[status(thm)],[14975, 14974])).
% 15.48/10.64 tff(14977,plain,
% 15.48/10.64 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 15.48/10.64 inference(rewrite,[status(thm)],[])).
% 15.48/10.64 tff(14978,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_151')).
% 15.48/10.64 tff(14979,plain,
% 15.48/10.64 (nextState(constB151, constB152)),
% 15.48/10.64 inference(modus_ponens,[status(thm)],[14978, 14977])).
% 15.48/10.64 tff(14980,plain,
% 15.48/10.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB151, constB152)) | (~(((~v123(constB152, 2)) <=> v121(constB151, 2)) | ((~v123(constB152, 1)) <=> v121(constB151, 1)) | ((~v123(constB152, 0)) <=> v121(constB151, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB151, constB152)) | (~(((~v123(constB152, 2)) <=> v121(constB151, 2)) | ((~v123(constB152, 1)) <=> v121(constB151, 1)) | ((~v123(constB152, 0)) <=> v121(constB151, 0)))))),
% 15.48/10.64 inference(rewrite,[status(thm)],[])).
% 15.48/10.64 tff(14981,plain,
% 15.48/10.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB151, constB152)) | (~(((~v123(constB152, 2)) <=> v121(constB151, 2)) | ((~v123(constB152, 1)) <=> v121(constB151, 1)) | ((~v123(constB152, 0)) <=> v121(constB151, 0)))))),
% 15.48/10.64 inference(quant_inst,[status(thm)],[])).
% 15.48/10.64 tff(14982,plain,
% 15.48/10.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB151, constB152)) | (~(((~v123(constB152, 2)) <=> v121(constB151, 2)) | ((~v123(constB152, 1)) <=> v121(constB151, 1)) | ((~v123(constB152, 0)) <=> v121(constB151, 0))))),
% 15.48/10.64 inference(modus_ponens,[status(thm)],[14981, 14980])).
% 15.48/10.64 tff(14983,plain,
% 15.48/10.64 (~(((~v123(constB152, 2)) <=> v121(constB151, 2)) | ((~v123(constB152, 1)) <=> v121(constB151, 1)) | ((~v123(constB152, 0)) <=> v121(constB151, 0)))),
% 15.48/10.64 inference(unit_resolution,[status(thm)],[14982, 14979, 842])).
% 15.48/10.64 tff(14984,plain,
% 15.48/10.64 ((((~v123(constB152, 2)) <=> v121(constB151, 2)) | ((~v123(constB152, 1)) <=> v121(constB151, 1)) | ((~v123(constB152, 0)) <=> v121(constB151, 0))) | (~((~v123(constB152, 2)) <=> v121(constB151, 2)))),
% 15.48/10.64 inference(tautology,[status(thm)],[])).
% 15.48/10.64 tff(14985,plain,
% 15.48/10.64 (~((~v123(constB152, 2)) <=> v121(constB151, 2))),
% 15.48/10.64 inference(unit_resolution,[status(thm)],[14984, 14983])).
% 15.48/10.64 tff(14986,plain,
% 15.48/10.64 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB151) <=> v26(constB151))),
% 15.48/10.64 inference(quant_inst,[status(thm)],[])).
% 15.48/10.64 tff(14987,plain,
% 15.48/10.64 (v105(constB151) <=> v26(constB151)),
% 15.48/10.64 inference(unit_resolution,[status(thm)],[14986, 861])).
% 15.48/10.64 tff(14988,plain,
% 15.48/10.64 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB151))),
% 15.48/10.64 inference(quant_inst,[status(thm)],[])).
% 15.48/10.64 tff(14989,plain,
% 15.48/10.64 (~v26(constB151)),
% 15.48/10.64 inference(unit_resolution,[status(thm)],[14988, 873])).
% 15.48/10.64 tff(14990,plain,
% 15.48/10.64 ((~(v105(constB151) <=> v26(constB151))) | (~v105(constB151)) | v26(constB151)),
% 15.48/10.64 inference(tautology,[status(thm)],[])).
% 15.48/10.64 tff(14991,plain,
% 15.48/10.64 ((~(v105(constB151) <=> v26(constB151))) | (~v105(constB151))),
% 15.48/10.64 inference(unit_resolution,[status(thm)],[14990, 14989])).
% 15.48/10.64 tff(14992,plain,
% 15.48/10.64 (~v105(constB151)),
% 15.48/10.64 inference(unit_resolution,[status(thm)],[14991, 14987])).
% 15.48/10.64 tff(14993,plain,
% 15.48/10.64 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB151) | (~(((~v121(constB151, 2)) <=> v124(constB151, 2)) | ((~v121(constB151, 0)) <=> v124(constB151, 0)) | ((~v121(constB151, 1)) <=> v124(constB151, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB151) | (~(((~v121(constB151, 2)) <=> v124(constB151, 2)) | ((~v121(constB151, 0)) <=> v124(constB151, 0)) | ((~v121(constB151, 1)) <=> v124(constB151, 1)))))),
% 15.48/10.64 inference(rewrite,[status(thm)],[])).
% 15.48/10.64 tff(14994,plain,
% 15.48/10.64 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB151) | (~(((~v121(constB151, 2)) <=> v124(constB151, 2)) | ((~v121(constB151, 0)) <=> v124(constB151, 0)) | ((~v121(constB151, 1)) <=> v124(constB151, 1)))))),
% 15.48/10.64 inference(quant_inst,[status(thm)],[])).
% 15.48/10.64 tff(14995,plain,
% 15.48/10.64 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB151) | (~(((~v121(constB151, 2)) <=> v124(constB151, 2)) | ((~v121(constB151, 0)) <=> v124(constB151, 0)) | ((~v121(constB151, 1)) <=> v124(constB151, 1))))),
% 15.48/10.64 inference(modus_ponens,[status(thm)],[14994, 14993])).
% 15.48/10.64 tff(14996,plain,
% 15.48/10.64 (v105(constB151) | (~(((~v121(constB151, 2)) <=> v124(constB151, 2)) | ((~v121(constB151, 0)) <=> v124(constB151, 0)) | ((~v121(constB151, 1)) <=> v124(constB151, 1))))),
% 15.48/10.64 inference(unit_resolution,[status(thm)],[14995, 891])).
% 15.48/10.64 tff(14997,plain,
% 15.48/10.64 (~(((~v121(constB151, 2)) <=> v124(constB151, 2)) | ((~v121(constB151, 0)) <=> v124(constB151, 0)) | ((~v121(constB151, 1)) <=> v124(constB151, 1)))),
% 15.48/10.64 inference(unit_resolution,[status(thm)],[14996, 14992])).
% 15.48/10.64 tff(14998,plain,
% 15.48/10.64 ((((~v121(constB151, 2)) <=> v124(constB151, 2)) | ((~v121(constB151, 0)) <=> v124(constB151, 0)) | ((~v121(constB151, 1)) <=> v124(constB151, 1))) | (~((~v121(constB151, 2)) <=> v124(constB151, 2)))),
% 15.48/10.64 inference(tautology,[status(thm)],[])).
% 15.48/10.64 tff(14999,plain,
% 15.48/10.64 (~((~v121(constB151, 2)) <=> v124(constB151, 2))),
% 15.48/10.64 inference(unit_resolution,[status(thm)],[14998, 14997])).
% 15.48/10.64 tff(15000,plain,
% 15.48/10.64 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB151) <=> (~(v84(constB151, 2) | (~v84(constB151, 1)) | (~v84(constB151, 0)))))),
% 15.48/10.64 inference(quant_inst,[status(thm)],[])).
% 15.48/10.64 tff(15001,plain,
% 15.48/10.64 (v116(constB151) <=> (~(v84(constB151, 2) | (~v84(constB151, 1)) | (~v84(constB151, 0))))),
% 15.48/10.64 inference(unit_resolution,[status(thm)],[15000, 911])).
% 15.48/10.64 tff(15002,plain,
% 15.48/10.64 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 15.48/10.64 inference(rewrite,[status(thm)],[])).
% 15.48/10.64 tff(15003,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_150')).
% 15.48/10.64 tff(15004,plain,
% 15.48/10.64 (nextState(constB150, constB151)),
% 15.48/10.64 inference(modus_ponens,[status(thm)],[15003, 15002])).
% 15.48/10.64 tff(15005,plain,
% 15.48/10.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB150, constB151)) | (v94(constB151) <=> (~((~v95(constB151)) | (~v104(constB151))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB150, constB151)) | (v94(constB151) <=> (~((~v95(constB151)) | (~v104(constB151))))))),
% 15.48/10.64 inference(rewrite,[status(thm)],[])).
% 15.48/10.64 tff(15006,plain,
% 15.48/10.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB150, constB151)) | (v94(constB151) <=> (~((~v95(constB151)) | (~v104(constB151))))))),
% 15.48/10.64 inference(quant_inst,[status(thm)],[])).
% 15.48/10.64 tff(15007,plain,
% 15.48/10.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB150, constB151)) | (v94(constB151) <=> (~((~v95(constB151)) | (~v104(constB151)))))),
% 15.48/10.64 inference(modus_ponens,[status(thm)],[15006, 15005])).
% 15.48/10.64 tff(15008,plain,
% 15.48/10.64 (v94(constB151) <=> (~((~v95(constB151)) | (~v104(constB151))))),
% 15.48/10.64 inference(unit_resolution,[status(thm)],[15007, 15004, 770])).
% 15.48/10.64 tff(15009,plain,
% 15.48/10.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151))))))),
% 15.48/10.64 inference(rewrite,[status(thm)],[])).
% 15.48/10.64 tff(15010,plain,
% 15.48/10.64 (((~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v96(constB151)) | (~v1(constB151)))))) <=> ((~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151))))))),
% 15.48/10.64 inference(rewrite,[status(thm)],[])).
% 15.48/10.64 tff(15011,plain,
% 15.48/10.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v96(constB151)) | (~v1(constB151))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151)))))))),
% 15.48/10.64 inference(monotonicity,[status(thm)],[15010])).
% 15.48/10.64 tff(15012,plain,
% 15.48/10.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v96(constB151)) | (~v1(constB151))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151))))))),
% 15.48/10.64 inference(transitivity,[status(thm)],[15011, 15009])).
% 15.48/10.64 tff(15013,plain,
% 15.48/10.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v96(constB151)) | (~v1(constB151))))))),
% 15.48/10.64 inference(quant_inst,[status(thm)],[])).
% 15.48/10.64 tff(15014,plain,
% 15.48/10.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151)))))),
% 15.48/10.65 inference(modus_ponens,[status(thm)],[15013, 15012])).
% 15.48/10.65 tff(15015,plain,
% 15.48/10.65 (v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151))))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15014, 15004, 790])).
% 15.48/10.65 tff(15016,plain,
% 15.48/10.65 ((~v1(constB151)) <=> (~v1(constB151))),
% 15.48/10.65 inference(rewrite,[status(thm)],[])).
% 15.48/10.65 tff(15017,axiom,(~v1(constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_151')).
% 15.48/10.65 tff(15018,plain,
% 15.48/10.65 (~v1(constB151)),
% 15.48/10.65 inference(modus_ponens,[status(thm)],[15017, 15016])).
% 15.48/10.65 tff(15019,plain,
% 15.48/10.65 (((~v1(constB151)) | (~v96(constB151))) | v1(constB151)),
% 15.48/10.65 inference(tautology,[status(thm)],[])).
% 15.48/10.65 tff(15020,plain,
% 15.48/10.65 ((~v1(constB151)) | (~v96(constB151))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15019, 15018])).
% 15.48/10.65 tff(15021,plain,
% 15.48/10.65 ((~(v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151)))))) | (~v95(constB151)) | (~((~v1(constB151)) | (~v96(constB151))))),
% 15.48/10.65 inference(tautology,[status(thm)],[])).
% 15.48/10.65 tff(15022,plain,
% 15.48/10.65 ((~(v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151)))))) | (~v95(constB151))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15021, 15020])).
% 15.48/10.65 tff(15023,plain,
% 15.48/10.65 (~v95(constB151)),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15022, 15015])).
% 15.48/10.65 tff(15024,plain,
% 15.48/10.65 (((~v95(constB151)) | (~v104(constB151))) | v95(constB151)),
% 15.48/10.65 inference(tautology,[status(thm)],[])).
% 15.48/10.65 tff(15025,plain,
% 15.48/10.65 ((~v95(constB151)) | (~v104(constB151))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15024, 15023])).
% 15.48/10.65 tff(15026,plain,
% 15.48/10.65 ((~(v94(constB151) <=> (~((~v95(constB151)) | (~v104(constB151)))))) | (~v94(constB151)) | (~((~v95(constB151)) | (~v104(constB151))))),
% 15.48/10.65 inference(tautology,[status(thm)],[])).
% 15.48/10.65 tff(15027,plain,
% 15.48/10.65 (~v94(constB151)),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15026, 15025, 15008])).
% 15.48/10.65 tff(15028,plain,
% 15.48/10.65 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB151) | (~nextState(constB150, constB151)) | (~(((~v84(constB151, 1)) <=> v84(constB150, 1)) | ((~v84(constB151, 2)) <=> v84(constB150, 2)) | ((~v84(constB151, 0)) <=> v84(constB150, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB151) | (~nextState(constB150, constB151)) | (~(((~v84(constB151, 1)) <=> v84(constB150, 1)) | ((~v84(constB151, 2)) <=> v84(constB150, 2)) | ((~v84(constB151, 0)) <=> v84(constB150, 0)))))),
% 15.48/10.65 inference(rewrite,[status(thm)],[])).
% 15.48/10.65 tff(15029,plain,
% 15.48/10.65 ((v94(constB151) | (~nextState(constB150, constB151)) | (~(((~v84(constB151, 2)) <=> v84(constB150, 2)) | ((~v84(constB151, 1)) <=> v84(constB150, 1)) | ((~v84(constB151, 0)) <=> v84(constB150, 0))))) <=> (v94(constB151) | (~nextState(constB150, constB151)) | (~(((~v84(constB151, 1)) <=> v84(constB150, 1)) | ((~v84(constB151, 2)) <=> v84(constB150, 2)) | ((~v84(constB151, 0)) <=> v84(constB150, 0)))))),
% 15.48/10.65 inference(rewrite,[status(thm)],[])).
% 15.48/10.65 tff(15030,plain,
% 15.48/10.65 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB151) | (~nextState(constB150, constB151)) | (~(((~v84(constB151, 2)) <=> v84(constB150, 2)) | ((~v84(constB151, 1)) <=> v84(constB150, 1)) | ((~v84(constB151, 0)) <=> v84(constB150, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB151) | (~nextState(constB150, constB151)) | (~(((~v84(constB151, 1)) <=> v84(constB150, 1)) | ((~v84(constB151, 2)) <=> v84(constB150, 2)) | ((~v84(constB151, 0)) <=> v84(constB150, 0))))))),
% 15.48/10.65 inference(monotonicity,[status(thm)],[15029])).
% 15.48/10.65 tff(15031,plain,
% 15.48/10.65 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB151) | (~nextState(constB150, constB151)) | (~(((~v84(constB151, 2)) <=> v84(constB150, 2)) | ((~v84(constB151, 1)) <=> v84(constB150, 1)) | ((~v84(constB151, 0)) <=> v84(constB150, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB151) | (~nextState(constB150, constB151)) | (~(((~v84(constB151, 1)) <=> v84(constB150, 1)) | ((~v84(constB151, 2)) <=> v84(constB150, 2)) | ((~v84(constB151, 0)) <=> v84(constB150, 0)))))),
% 15.48/10.65 inference(transitivity,[status(thm)],[15030, 15028])).
% 15.48/10.65 tff(15032,plain,
% 15.48/10.65 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB151) | (~nextState(constB150, constB151)) | (~(((~v84(constB151, 2)) <=> v84(constB150, 2)) | ((~v84(constB151, 1)) <=> v84(constB150, 1)) | ((~v84(constB151, 0)) <=> v84(constB150, 0)))))),
% 15.48/10.65 inference(quant_inst,[status(thm)],[])).
% 15.48/10.65 tff(15033,plain,
% 15.48/10.65 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB151) | (~nextState(constB150, constB151)) | (~(((~v84(constB151, 1)) <=> v84(constB150, 1)) | ((~v84(constB151, 2)) <=> v84(constB150, 2)) | ((~v84(constB151, 0)) <=> v84(constB150, 0))))),
% 15.48/10.65 inference(modus_ponens,[status(thm)],[15032, 15031])).
% 15.48/10.65 tff(15034,plain,
% 15.48/10.65 (v94(constB151) | (~(((~v84(constB151, 1)) <=> v84(constB150, 1)) | ((~v84(constB151, 2)) <=> v84(constB150, 2)) | ((~v84(constB151, 0)) <=> v84(constB150, 0))))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15033, 15004, 819])).
% 15.48/10.65 tff(15035,plain,
% 15.48/10.65 (~(((~v84(constB151, 1)) <=> v84(constB150, 1)) | ((~v84(constB151, 2)) <=> v84(constB150, 2)) | ((~v84(constB151, 0)) <=> v84(constB150, 0)))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15034, 15027])).
% 15.48/10.65 tff(15036,plain,
% 15.48/10.65 ((((~v84(constB151, 1)) <=> v84(constB150, 1)) | ((~v84(constB151, 2)) <=> v84(constB150, 2)) | ((~v84(constB151, 0)) <=> v84(constB150, 0))) | (~((~v84(constB151, 2)) <=> v84(constB150, 2)))),
% 15.48/10.65 inference(tautology,[status(thm)],[])).
% 15.48/10.65 tff(15037,plain,
% 15.48/10.65 (~((~v84(constB151, 2)) <=> v84(constB150, 2))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15036, 15035])).
% 15.48/10.65 tff(15038,plain,
% 15.48/10.65 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 15.48/10.65 inference(rewrite,[status(thm)],[])).
% 15.48/10.65 tff(15039,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_149')).
% 15.48/10.65 tff(15040,plain,
% 15.48/10.65 (nextState(constB149, constB150)),
% 15.48/10.65 inference(modus_ponens,[status(thm)],[15039, 15038])).
% 15.48/10.65 tff(15041,plain,
% 15.48/10.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB149, constB150)) | (~(((~v123(constB150, 2)) <=> v121(constB149, 2)) | ((~v123(constB150, 1)) <=> v121(constB149, 1)) | ((~v123(constB150, 0)) <=> v121(constB149, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB149, constB150)) | (~(((~v123(constB150, 2)) <=> v121(constB149, 2)) | ((~v123(constB150, 1)) <=> v121(constB149, 1)) | ((~v123(constB150, 0)) <=> v121(constB149, 0)))))),
% 15.48/10.65 inference(rewrite,[status(thm)],[])).
% 15.48/10.65 tff(15042,plain,
% 15.48/10.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB149, constB150)) | (~(((~v123(constB150, 2)) <=> v121(constB149, 2)) | ((~v123(constB150, 1)) <=> v121(constB149, 1)) | ((~v123(constB150, 0)) <=> v121(constB149, 0)))))),
% 15.48/10.65 inference(quant_inst,[status(thm)],[])).
% 15.48/10.65 tff(15043,plain,
% 15.48/10.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB149, constB150)) | (~(((~v123(constB150, 2)) <=> v121(constB149, 2)) | ((~v123(constB150, 1)) <=> v121(constB149, 1)) | ((~v123(constB150, 0)) <=> v121(constB149, 0))))),
% 15.48/10.65 inference(modus_ponens,[status(thm)],[15042, 15041])).
% 15.48/10.65 tff(15044,plain,
% 15.48/10.65 (~(((~v123(constB150, 2)) <=> v121(constB149, 2)) | ((~v123(constB150, 1)) <=> v121(constB149, 1)) | ((~v123(constB150, 0)) <=> v121(constB149, 0)))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15043, 15040, 842])).
% 15.48/10.65 tff(15045,plain,
% 15.48/10.65 ((((~v123(constB150, 2)) <=> v121(constB149, 2)) | ((~v123(constB150, 1)) <=> v121(constB149, 1)) | ((~v123(constB150, 0)) <=> v121(constB149, 0))) | (~((~v123(constB150, 2)) <=> v121(constB149, 2)))),
% 15.48/10.65 inference(tautology,[status(thm)],[])).
% 15.48/10.65 tff(15046,plain,
% 15.48/10.65 (~((~v123(constB150, 2)) <=> v121(constB149, 2))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15045, 15044])).
% 15.48/10.65 tff(15047,plain,
% 15.48/10.65 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB149) <=> v26(constB149))),
% 15.48/10.65 inference(quant_inst,[status(thm)],[])).
% 15.48/10.65 tff(15048,plain,
% 15.48/10.65 (v105(constB149) <=> v26(constB149)),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15047, 861])).
% 15.48/10.65 tff(15049,plain,
% 15.48/10.65 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB149))),
% 15.48/10.65 inference(quant_inst,[status(thm)],[])).
% 15.48/10.65 tff(15050,plain,
% 15.48/10.65 (~v26(constB149)),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15049, 873])).
% 15.48/10.65 tff(15051,plain,
% 15.48/10.65 ((~(v105(constB149) <=> v26(constB149))) | (~v105(constB149)) | v26(constB149)),
% 15.48/10.65 inference(tautology,[status(thm)],[])).
% 15.48/10.65 tff(15052,plain,
% 15.48/10.65 ((~(v105(constB149) <=> v26(constB149))) | (~v105(constB149))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15051, 15050])).
% 15.48/10.65 tff(15053,plain,
% 15.48/10.65 (~v105(constB149)),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15052, 15048])).
% 15.48/10.65 tff(15054,plain,
% 15.48/10.65 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB149) | (~(((~v121(constB149, 2)) <=> v124(constB149, 2)) | ((~v121(constB149, 0)) <=> v124(constB149, 0)) | ((~v121(constB149, 1)) <=> v124(constB149, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB149) | (~(((~v121(constB149, 2)) <=> v124(constB149, 2)) | ((~v121(constB149, 0)) <=> v124(constB149, 0)) | ((~v121(constB149, 1)) <=> v124(constB149, 1)))))),
% 15.48/10.65 inference(rewrite,[status(thm)],[])).
% 15.48/10.65 tff(15055,plain,
% 15.48/10.65 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB149) | (~(((~v121(constB149, 2)) <=> v124(constB149, 2)) | ((~v121(constB149, 0)) <=> v124(constB149, 0)) | ((~v121(constB149, 1)) <=> v124(constB149, 1)))))),
% 15.48/10.65 inference(quant_inst,[status(thm)],[])).
% 15.48/10.65 tff(15056,plain,
% 15.48/10.65 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB149) | (~(((~v121(constB149, 2)) <=> v124(constB149, 2)) | ((~v121(constB149, 0)) <=> v124(constB149, 0)) | ((~v121(constB149, 1)) <=> v124(constB149, 1))))),
% 15.48/10.65 inference(modus_ponens,[status(thm)],[15055, 15054])).
% 15.48/10.65 tff(15057,plain,
% 15.48/10.65 (v105(constB149) | (~(((~v121(constB149, 2)) <=> v124(constB149, 2)) | ((~v121(constB149, 0)) <=> v124(constB149, 0)) | ((~v121(constB149, 1)) <=> v124(constB149, 1))))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15056, 891])).
% 15.48/10.65 tff(15058,plain,
% 15.48/10.65 (~(((~v121(constB149, 2)) <=> v124(constB149, 2)) | ((~v121(constB149, 0)) <=> v124(constB149, 0)) | ((~v121(constB149, 1)) <=> v124(constB149, 1)))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15057, 15053])).
% 15.48/10.65 tff(15059,plain,
% 15.48/10.65 ((((~v121(constB149, 2)) <=> v124(constB149, 2)) | ((~v121(constB149, 0)) <=> v124(constB149, 0)) | ((~v121(constB149, 1)) <=> v124(constB149, 1))) | (~((~v121(constB149, 2)) <=> v124(constB149, 2)))),
% 15.48/10.65 inference(tautology,[status(thm)],[])).
% 15.48/10.65 tff(15060,plain,
% 15.48/10.65 (~((~v121(constB149, 2)) <=> v124(constB149, 2))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15059, 15058])).
% 15.48/10.65 tff(15061,plain,
% 15.48/10.65 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB149) <=> (~(v84(constB149, 2) | v84(constB149, 0) | (~v84(constB149, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB149) <=> (~(v84(constB149, 2) | v84(constB149, 0) | (~v84(constB149, 1))))))),
% 15.48/10.65 inference(rewrite,[status(thm)],[])).
% 15.48/10.65 tff(15062,plain,
% 15.48/10.65 ((v115(constB149) <=> (~(v84(constB149, 0) | v84(constB149, 2) | (~v84(constB149, 1))))) <=> (v115(constB149) <=> (~(v84(constB149, 2) | v84(constB149, 0) | (~v84(constB149, 1)))))),
% 15.48/10.65 inference(rewrite,[status(thm)],[])).
% 15.48/10.65 tff(15063,plain,
% 15.48/10.65 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB149) <=> (~(v84(constB149, 0) | v84(constB149, 2) | (~v84(constB149, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB149) <=> (~(v84(constB149, 2) | v84(constB149, 0) | (~v84(constB149, 1))))))),
% 15.48/10.65 inference(monotonicity,[status(thm)],[15062])).
% 15.48/10.65 tff(15064,plain,
% 15.48/10.65 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB149) <=> (~(v84(constB149, 0) | v84(constB149, 2) | (~v84(constB149, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB149) <=> (~(v84(constB149, 2) | v84(constB149, 0) | (~v84(constB149, 1))))))),
% 15.48/10.65 inference(transitivity,[status(thm)],[15063, 15061])).
% 15.48/10.65 tff(15065,plain,
% 15.48/10.65 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB149) <=> (~(v84(constB149, 0) | v84(constB149, 2) | (~v84(constB149, 1)))))),
% 15.48/10.65 inference(quant_inst,[status(thm)],[])).
% 15.48/10.65 tff(15066,plain,
% 15.48/10.65 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB149) <=> (~(v84(constB149, 2) | v84(constB149, 0) | (~v84(constB149, 1)))))),
% 15.48/10.65 inference(modus_ponens,[status(thm)],[15065, 15064])).
% 15.48/10.65 tff(15067,plain,
% 15.48/10.65 (v115(constB149) <=> (~(v84(constB149, 2) | v84(constB149, 0) | (~v84(constB149, 1))))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15066, 985])).
% 15.48/10.65 tff(15068,plain,
% 15.48/10.65 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 15.48/10.65 inference(rewrite,[status(thm)],[])).
% 15.48/10.65 tff(15069,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_148')).
% 15.48/10.65 tff(15070,plain,
% 15.48/10.65 (nextState(constB148, constB149)),
% 15.48/10.65 inference(modus_ponens,[status(thm)],[15069, 15068])).
% 15.48/10.65 tff(15071,plain,
% 15.48/10.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB148, constB149)) | (v94(constB149) <=> (~((~v95(constB149)) | (~v104(constB149))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB148, constB149)) | (v94(constB149) <=> (~((~v95(constB149)) | (~v104(constB149))))))),
% 15.48/10.65 inference(rewrite,[status(thm)],[])).
% 15.48/10.65 tff(15072,plain,
% 15.48/10.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB148, constB149)) | (v94(constB149) <=> (~((~v95(constB149)) | (~v104(constB149))))))),
% 15.48/10.65 inference(quant_inst,[status(thm)],[])).
% 15.48/10.65 tff(15073,plain,
% 15.48/10.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB148, constB149)) | (v94(constB149) <=> (~((~v95(constB149)) | (~v104(constB149)))))),
% 15.48/10.65 inference(modus_ponens,[status(thm)],[15072, 15071])).
% 15.48/10.65 tff(15074,plain,
% 15.48/10.65 (v94(constB149) <=> (~((~v95(constB149)) | (~v104(constB149))))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15073, 15070, 770])).
% 15.48/10.65 tff(15075,plain,
% 15.48/10.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149))))))),
% 15.48/10.65 inference(rewrite,[status(thm)],[])).
% 15.48/10.65 tff(15076,plain,
% 15.48/10.65 (((~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v96(constB149)) | (~v1(constB149)))))) <=> ((~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149))))))),
% 15.48/10.65 inference(rewrite,[status(thm)],[])).
% 15.48/10.65 tff(15077,plain,
% 15.48/10.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v96(constB149)) | (~v1(constB149))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149)))))))),
% 15.48/10.65 inference(monotonicity,[status(thm)],[15076])).
% 15.48/10.65 tff(15078,plain,
% 15.48/10.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v96(constB149)) | (~v1(constB149))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149))))))),
% 15.48/10.65 inference(transitivity,[status(thm)],[15077, 15075])).
% 15.48/10.65 tff(15079,plain,
% 15.48/10.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v96(constB149)) | (~v1(constB149))))))),
% 15.48/10.65 inference(quant_inst,[status(thm)],[])).
% 15.48/10.65 tff(15080,plain,
% 15.48/10.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149)))))),
% 15.48/10.65 inference(modus_ponens,[status(thm)],[15079, 15078])).
% 15.48/10.65 tff(15081,plain,
% 15.48/10.65 (v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149))))),
% 15.48/10.65 inference(unit_resolution,[status(thm)],[15080, 15070, 790])).
% 15.48/10.65 tff(15082,plain,
% 15.48/10.65 ((~v1(constB149)) <=> (~v1(constB149))),
% 15.48/10.65 inference(rewrite,[status(thm)],[])).
% 15.48/10.65 tff(15083,axiom,(~v1(constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_149')).
% 15.48/10.66 tff(15084,plain,
% 15.48/10.66 (~v1(constB149)),
% 15.48/10.66 inference(modus_ponens,[status(thm)],[15083, 15082])).
% 15.48/10.66 tff(15085,plain,
% 15.48/10.66 (((~v1(constB149)) | (~v96(constB149))) | v1(constB149)),
% 15.48/10.66 inference(tautology,[status(thm)],[])).
% 15.48/10.66 tff(15086,plain,
% 15.48/10.66 ((~v1(constB149)) | (~v96(constB149))),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15085, 15084])).
% 15.48/10.66 tff(15087,plain,
% 15.48/10.66 ((~(v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149)))))) | (~v95(constB149)) | (~((~v1(constB149)) | (~v96(constB149))))),
% 15.48/10.66 inference(tautology,[status(thm)],[])).
% 15.48/10.66 tff(15088,plain,
% 15.48/10.66 ((~(v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149)))))) | (~v95(constB149))),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15087, 15086])).
% 15.48/10.66 tff(15089,plain,
% 15.48/10.66 (~v95(constB149)),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15088, 15081])).
% 15.48/10.66 tff(15090,plain,
% 15.48/10.66 (((~v95(constB149)) | (~v104(constB149))) | v95(constB149)),
% 15.48/10.66 inference(tautology,[status(thm)],[])).
% 15.48/10.66 tff(15091,plain,
% 15.48/10.66 ((~v95(constB149)) | (~v104(constB149))),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15090, 15089])).
% 15.48/10.66 tff(15092,plain,
% 15.48/10.66 ((~(v94(constB149) <=> (~((~v95(constB149)) | (~v104(constB149)))))) | (~v94(constB149)) | (~((~v95(constB149)) | (~v104(constB149))))),
% 15.48/10.66 inference(tautology,[status(thm)],[])).
% 15.48/10.66 tff(15093,plain,
% 15.48/10.66 (~v94(constB149)),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15092, 15091, 15074])).
% 15.48/10.66 tff(15094,plain,
% 15.48/10.66 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB149) | (~nextState(constB148, constB149)) | (~(((~v84(constB149, 1)) <=> v84(constB148, 1)) | ((~v84(constB149, 2)) <=> v84(constB148, 2)) | ((~v84(constB149, 0)) <=> v84(constB148, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB149) | (~nextState(constB148, constB149)) | (~(((~v84(constB149, 1)) <=> v84(constB148, 1)) | ((~v84(constB149, 2)) <=> v84(constB148, 2)) | ((~v84(constB149, 0)) <=> v84(constB148, 0)))))),
% 15.48/10.66 inference(rewrite,[status(thm)],[])).
% 15.48/10.66 tff(15095,plain,
% 15.48/10.66 ((v94(constB149) | (~nextState(constB148, constB149)) | (~(((~v84(constB149, 2)) <=> v84(constB148, 2)) | ((~v84(constB149, 1)) <=> v84(constB148, 1)) | ((~v84(constB149, 0)) <=> v84(constB148, 0))))) <=> (v94(constB149) | (~nextState(constB148, constB149)) | (~(((~v84(constB149, 1)) <=> v84(constB148, 1)) | ((~v84(constB149, 2)) <=> v84(constB148, 2)) | ((~v84(constB149, 0)) <=> v84(constB148, 0)))))),
% 15.48/10.66 inference(rewrite,[status(thm)],[])).
% 15.48/10.66 tff(15096,plain,
% 15.48/10.66 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB149) | (~nextState(constB148, constB149)) | (~(((~v84(constB149, 2)) <=> v84(constB148, 2)) | ((~v84(constB149, 1)) <=> v84(constB148, 1)) | ((~v84(constB149, 0)) <=> v84(constB148, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB149) | (~nextState(constB148, constB149)) | (~(((~v84(constB149, 1)) <=> v84(constB148, 1)) | ((~v84(constB149, 2)) <=> v84(constB148, 2)) | ((~v84(constB149, 0)) <=> v84(constB148, 0))))))),
% 15.48/10.66 inference(monotonicity,[status(thm)],[15095])).
% 15.48/10.66 tff(15097,plain,
% 15.48/10.66 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB149) | (~nextState(constB148, constB149)) | (~(((~v84(constB149, 2)) <=> v84(constB148, 2)) | ((~v84(constB149, 1)) <=> v84(constB148, 1)) | ((~v84(constB149, 0)) <=> v84(constB148, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB149) | (~nextState(constB148, constB149)) | (~(((~v84(constB149, 1)) <=> v84(constB148, 1)) | ((~v84(constB149, 2)) <=> v84(constB148, 2)) | ((~v84(constB149, 0)) <=> v84(constB148, 0)))))),
% 15.48/10.66 inference(transitivity,[status(thm)],[15096, 15094])).
% 15.48/10.66 tff(15098,plain,
% 15.48/10.66 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB149) | (~nextState(constB148, constB149)) | (~(((~v84(constB149, 2)) <=> v84(constB148, 2)) | ((~v84(constB149, 1)) <=> v84(constB148, 1)) | ((~v84(constB149, 0)) <=> v84(constB148, 0)))))),
% 15.48/10.66 inference(quant_inst,[status(thm)],[])).
% 15.48/10.66 tff(15099,plain,
% 15.48/10.66 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB149) | (~nextState(constB148, constB149)) | (~(((~v84(constB149, 1)) <=> v84(constB148, 1)) | ((~v84(constB149, 2)) <=> v84(constB148, 2)) | ((~v84(constB149, 0)) <=> v84(constB148, 0))))),
% 15.48/10.66 inference(modus_ponens,[status(thm)],[15098, 15097])).
% 15.48/10.66 tff(15100,plain,
% 15.48/10.66 (v94(constB149) | (~(((~v84(constB149, 1)) <=> v84(constB148, 1)) | ((~v84(constB149, 2)) <=> v84(constB148, 2)) | ((~v84(constB149, 0)) <=> v84(constB148, 0))))),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15099, 15070, 819])).
% 15.48/10.66 tff(15101,plain,
% 15.48/10.66 (~(((~v84(constB149, 1)) <=> v84(constB148, 1)) | ((~v84(constB149, 2)) <=> v84(constB148, 2)) | ((~v84(constB149, 0)) <=> v84(constB148, 0)))),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15100, 15093])).
% 15.48/10.66 tff(15102,plain,
% 15.48/10.66 ((((~v84(constB149, 1)) <=> v84(constB148, 1)) | ((~v84(constB149, 2)) <=> v84(constB148, 2)) | ((~v84(constB149, 0)) <=> v84(constB148, 0))) | (~((~v84(constB149, 2)) <=> v84(constB148, 2)))),
% 15.48/10.66 inference(tautology,[status(thm)],[])).
% 15.48/10.66 tff(15103,plain,
% 15.48/10.66 (~((~v84(constB149, 2)) <=> v84(constB148, 2))),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15102, 15101])).
% 15.48/10.66 tff(15104,plain,
% 15.48/10.66 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 15.48/10.66 inference(rewrite,[status(thm)],[])).
% 15.48/10.66 tff(15105,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_147')).
% 15.48/10.66 tff(15106,plain,
% 15.48/10.66 (nextState(constB147, constB148)),
% 15.48/10.66 inference(modus_ponens,[status(thm)],[15105, 15104])).
% 15.48/10.66 tff(15107,plain,
% 15.48/10.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB147, constB148)) | (~(((~v123(constB148, 2)) <=> v121(constB147, 2)) | ((~v123(constB148, 1)) <=> v121(constB147, 1)) | ((~v123(constB148, 0)) <=> v121(constB147, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB147, constB148)) | (~(((~v123(constB148, 2)) <=> v121(constB147, 2)) | ((~v123(constB148, 1)) <=> v121(constB147, 1)) | ((~v123(constB148, 0)) <=> v121(constB147, 0)))))),
% 15.48/10.66 inference(rewrite,[status(thm)],[])).
% 15.48/10.66 tff(15108,plain,
% 15.48/10.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB147, constB148)) | (~(((~v123(constB148, 2)) <=> v121(constB147, 2)) | ((~v123(constB148, 1)) <=> v121(constB147, 1)) | ((~v123(constB148, 0)) <=> v121(constB147, 0)))))),
% 15.48/10.66 inference(quant_inst,[status(thm)],[])).
% 15.48/10.66 tff(15109,plain,
% 15.48/10.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB147, constB148)) | (~(((~v123(constB148, 2)) <=> v121(constB147, 2)) | ((~v123(constB148, 1)) <=> v121(constB147, 1)) | ((~v123(constB148, 0)) <=> v121(constB147, 0))))),
% 15.48/10.66 inference(modus_ponens,[status(thm)],[15108, 15107])).
% 15.48/10.66 tff(15110,plain,
% 15.48/10.66 (~(((~v123(constB148, 2)) <=> v121(constB147, 2)) | ((~v123(constB148, 1)) <=> v121(constB147, 1)) | ((~v123(constB148, 0)) <=> v121(constB147, 0)))),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15109, 15106, 842])).
% 15.48/10.66 tff(15111,plain,
% 15.48/10.66 ((((~v123(constB148, 2)) <=> v121(constB147, 2)) | ((~v123(constB148, 1)) <=> v121(constB147, 1)) | ((~v123(constB148, 0)) <=> v121(constB147, 0))) | (~((~v123(constB148, 2)) <=> v121(constB147, 2)))),
% 15.48/10.66 inference(tautology,[status(thm)],[])).
% 15.48/10.66 tff(15112,plain,
% 15.48/10.66 (~((~v123(constB148, 2)) <=> v121(constB147, 2))),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15111, 15110])).
% 15.48/10.66 tff(15113,plain,
% 15.48/10.66 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB147) <=> v26(constB147))),
% 15.48/10.66 inference(quant_inst,[status(thm)],[])).
% 15.48/10.66 tff(15114,plain,
% 15.48/10.66 (v105(constB147) <=> v26(constB147)),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15113, 861])).
% 15.48/10.66 tff(15115,plain,
% 15.48/10.66 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB147))),
% 15.48/10.66 inference(quant_inst,[status(thm)],[])).
% 15.48/10.66 tff(15116,plain,
% 15.48/10.66 (~v26(constB147)),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15115, 873])).
% 15.48/10.66 tff(15117,plain,
% 15.48/10.66 ((~(v105(constB147) <=> v26(constB147))) | (~v105(constB147)) | v26(constB147)),
% 15.48/10.66 inference(tautology,[status(thm)],[])).
% 15.48/10.66 tff(15118,plain,
% 15.48/10.66 ((~(v105(constB147) <=> v26(constB147))) | (~v105(constB147))),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15117, 15116])).
% 15.48/10.66 tff(15119,plain,
% 15.48/10.66 (~v105(constB147)),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15118, 15114])).
% 15.48/10.66 tff(15120,plain,
% 15.48/10.66 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB147) | (~(((~v121(constB147, 2)) <=> v124(constB147, 2)) | ((~v121(constB147, 0)) <=> v124(constB147, 0)) | ((~v121(constB147, 1)) <=> v124(constB147, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB147) | (~(((~v121(constB147, 2)) <=> v124(constB147, 2)) | ((~v121(constB147, 0)) <=> v124(constB147, 0)) | ((~v121(constB147, 1)) <=> v124(constB147, 1)))))),
% 15.48/10.66 inference(rewrite,[status(thm)],[])).
% 15.48/10.66 tff(15121,plain,
% 15.48/10.66 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB147) | (~(((~v121(constB147, 2)) <=> v124(constB147, 2)) | ((~v121(constB147, 0)) <=> v124(constB147, 0)) | ((~v121(constB147, 1)) <=> v124(constB147, 1)))))),
% 15.48/10.66 inference(quant_inst,[status(thm)],[])).
% 15.48/10.66 tff(15122,plain,
% 15.48/10.66 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB147) | (~(((~v121(constB147, 2)) <=> v124(constB147, 2)) | ((~v121(constB147, 0)) <=> v124(constB147, 0)) | ((~v121(constB147, 1)) <=> v124(constB147, 1))))),
% 15.48/10.66 inference(modus_ponens,[status(thm)],[15121, 15120])).
% 15.48/10.66 tff(15123,plain,
% 15.48/10.66 (v105(constB147) | (~(((~v121(constB147, 2)) <=> v124(constB147, 2)) | ((~v121(constB147, 0)) <=> v124(constB147, 0)) | ((~v121(constB147, 1)) <=> v124(constB147, 1))))),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15122, 891])).
% 15.48/10.66 tff(15124,plain,
% 15.48/10.66 (~(((~v121(constB147, 2)) <=> v124(constB147, 2)) | ((~v121(constB147, 0)) <=> v124(constB147, 0)) | ((~v121(constB147, 1)) <=> v124(constB147, 1)))),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15123, 15119])).
% 15.48/10.66 tff(15125,plain,
% 15.48/10.66 ((((~v121(constB147, 2)) <=> v124(constB147, 2)) | ((~v121(constB147, 0)) <=> v124(constB147, 0)) | ((~v121(constB147, 1)) <=> v124(constB147, 1))) | (~((~v121(constB147, 2)) <=> v124(constB147, 2)))),
% 15.48/10.66 inference(tautology,[status(thm)],[])).
% 15.48/10.66 tff(15126,plain,
% 15.48/10.66 (~((~v121(constB147, 2)) <=> v124(constB147, 2))),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15125, 15124])).
% 15.48/10.66 tff(15127,plain,
% 15.48/10.66 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB147) <=> (~(v84(constB147, 1) | v84(constB147, 2) | (~v84(constB147, 0)))))),
% 15.48/10.66 inference(quant_inst,[status(thm)],[])).
% 15.48/10.66 tff(15128,plain,
% 15.48/10.66 (v114(constB147) <=> (~(v84(constB147, 1) | v84(constB147, 2) | (~v84(constB147, 0))))),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15127, 1064])).
% 15.48/10.66 tff(15129,plain,
% 15.48/10.66 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 15.48/10.66 inference(rewrite,[status(thm)],[])).
% 15.48/10.66 tff(15130,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_146')).
% 15.48/10.66 tff(15131,plain,
% 15.48/10.66 (nextState(constB146, constB147)),
% 15.48/10.66 inference(modus_ponens,[status(thm)],[15130, 15129])).
% 15.48/10.66 tff(15132,plain,
% 15.48/10.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB146, constB147)) | (v94(constB147) <=> (~((~v95(constB147)) | (~v104(constB147))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB146, constB147)) | (v94(constB147) <=> (~((~v95(constB147)) | (~v104(constB147))))))),
% 15.48/10.66 inference(rewrite,[status(thm)],[])).
% 15.48/10.66 tff(15133,plain,
% 15.48/10.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB146, constB147)) | (v94(constB147) <=> (~((~v95(constB147)) | (~v104(constB147))))))),
% 15.48/10.66 inference(quant_inst,[status(thm)],[])).
% 15.48/10.66 tff(15134,plain,
% 15.48/10.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB146, constB147)) | (v94(constB147) <=> (~((~v95(constB147)) | (~v104(constB147)))))),
% 15.48/10.66 inference(modus_ponens,[status(thm)],[15133, 15132])).
% 15.48/10.66 tff(15135,plain,
% 15.48/10.66 (v94(constB147) <=> (~((~v95(constB147)) | (~v104(constB147))))),
% 15.48/10.66 inference(unit_resolution,[status(thm)],[15134, 15131, 770])).
% 15.48/10.66 tff(15136,plain,
% 15.48/10.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147))))))),
% 15.48/10.66 inference(rewrite,[status(thm)],[])).
% 15.48/10.66 tff(15137,plain,
% 15.48/10.66 (((~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v96(constB147)) | (~v1(constB147)))))) <=> ((~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147))))))),
% 15.48/10.66 inference(rewrite,[status(thm)],[])).
% 15.48/10.66 tff(15138,plain,
% 15.48/10.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v96(constB147)) | (~v1(constB147))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147)))))))),
% 15.48/10.67 inference(monotonicity,[status(thm)],[15137])).
% 15.48/10.67 tff(15139,plain,
% 15.48/10.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v96(constB147)) | (~v1(constB147))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147))))))),
% 15.48/10.67 inference(transitivity,[status(thm)],[15138, 15136])).
% 15.48/10.67 tff(15140,plain,
% 15.48/10.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v96(constB147)) | (~v1(constB147))))))),
% 15.48/10.67 inference(quant_inst,[status(thm)],[])).
% 15.48/10.67 tff(15141,plain,
% 15.48/10.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147)))))),
% 15.48/10.67 inference(modus_ponens,[status(thm)],[15140, 15139])).
% 15.48/10.67 tff(15142,plain,
% 15.48/10.67 (v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147))))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15141, 15131, 790])).
% 15.48/10.67 tff(15143,plain,
% 15.48/10.67 ((~v1(constB147)) <=> (~v1(constB147))),
% 15.48/10.67 inference(rewrite,[status(thm)],[])).
% 15.48/10.67 tff(15144,axiom,(~v1(constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_147')).
% 15.48/10.67 tff(15145,plain,
% 15.48/10.67 (~v1(constB147)),
% 15.48/10.67 inference(modus_ponens,[status(thm)],[15144, 15143])).
% 15.48/10.67 tff(15146,plain,
% 15.48/10.67 (((~v1(constB147)) | (~v96(constB147))) | v1(constB147)),
% 15.48/10.67 inference(tautology,[status(thm)],[])).
% 15.48/10.67 tff(15147,plain,
% 15.48/10.67 ((~v1(constB147)) | (~v96(constB147))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15146, 15145])).
% 15.48/10.67 tff(15148,plain,
% 15.48/10.67 ((~(v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147)))))) | (~v95(constB147)) | (~((~v1(constB147)) | (~v96(constB147))))),
% 15.48/10.67 inference(tautology,[status(thm)],[])).
% 15.48/10.67 tff(15149,plain,
% 15.48/10.67 ((~(v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147)))))) | (~v95(constB147))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15148, 15147])).
% 15.48/10.67 tff(15150,plain,
% 15.48/10.67 (~v95(constB147)),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15149, 15142])).
% 15.48/10.67 tff(15151,plain,
% 15.48/10.67 (((~v95(constB147)) | (~v104(constB147))) | v95(constB147)),
% 15.48/10.67 inference(tautology,[status(thm)],[])).
% 15.48/10.67 tff(15152,plain,
% 15.48/10.67 ((~v95(constB147)) | (~v104(constB147))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15151, 15150])).
% 15.48/10.67 tff(15153,plain,
% 15.48/10.67 ((~(v94(constB147) <=> (~((~v95(constB147)) | (~v104(constB147)))))) | (~v94(constB147)) | (~((~v95(constB147)) | (~v104(constB147))))),
% 15.48/10.67 inference(tautology,[status(thm)],[])).
% 15.48/10.67 tff(15154,plain,
% 15.48/10.67 (~v94(constB147)),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15153, 15152, 15135])).
% 15.48/10.67 tff(15155,plain,
% 15.48/10.67 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB147) | (~nextState(constB146, constB147)) | (~(((~v84(constB147, 1)) <=> v84(constB146, 1)) | ((~v84(constB147, 2)) <=> v84(constB146, 2)) | ((~v84(constB147, 0)) <=> v84(constB146, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB147) | (~nextState(constB146, constB147)) | (~(((~v84(constB147, 1)) <=> v84(constB146, 1)) | ((~v84(constB147, 2)) <=> v84(constB146, 2)) | ((~v84(constB147, 0)) <=> v84(constB146, 0)))))),
% 15.48/10.67 inference(rewrite,[status(thm)],[])).
% 15.48/10.67 tff(15156,plain,
% 15.48/10.67 ((v94(constB147) | (~nextState(constB146, constB147)) | (~(((~v84(constB147, 2)) <=> v84(constB146, 2)) | ((~v84(constB147, 1)) <=> v84(constB146, 1)) | ((~v84(constB147, 0)) <=> v84(constB146, 0))))) <=> (v94(constB147) | (~nextState(constB146, constB147)) | (~(((~v84(constB147, 1)) <=> v84(constB146, 1)) | ((~v84(constB147, 2)) <=> v84(constB146, 2)) | ((~v84(constB147, 0)) <=> v84(constB146, 0)))))),
% 15.48/10.67 inference(rewrite,[status(thm)],[])).
% 15.48/10.67 tff(15157,plain,
% 15.48/10.67 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB147) | (~nextState(constB146, constB147)) | (~(((~v84(constB147, 2)) <=> v84(constB146, 2)) | ((~v84(constB147, 1)) <=> v84(constB146, 1)) | ((~v84(constB147, 0)) <=> v84(constB146, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB147) | (~nextState(constB146, constB147)) | (~(((~v84(constB147, 1)) <=> v84(constB146, 1)) | ((~v84(constB147, 2)) <=> v84(constB146, 2)) | ((~v84(constB147, 0)) <=> v84(constB146, 0))))))),
% 15.48/10.67 inference(monotonicity,[status(thm)],[15156])).
% 15.48/10.67 tff(15158,plain,
% 15.48/10.67 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB147) | (~nextState(constB146, constB147)) | (~(((~v84(constB147, 2)) <=> v84(constB146, 2)) | ((~v84(constB147, 1)) <=> v84(constB146, 1)) | ((~v84(constB147, 0)) <=> v84(constB146, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB147) | (~nextState(constB146, constB147)) | (~(((~v84(constB147, 1)) <=> v84(constB146, 1)) | ((~v84(constB147, 2)) <=> v84(constB146, 2)) | ((~v84(constB147, 0)) <=> v84(constB146, 0)))))),
% 15.48/10.67 inference(transitivity,[status(thm)],[15157, 15155])).
% 15.48/10.67 tff(15159,plain,
% 15.48/10.67 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB147) | (~nextState(constB146, constB147)) | (~(((~v84(constB147, 2)) <=> v84(constB146, 2)) | ((~v84(constB147, 1)) <=> v84(constB146, 1)) | ((~v84(constB147, 0)) <=> v84(constB146, 0)))))),
% 15.48/10.67 inference(quant_inst,[status(thm)],[])).
% 15.48/10.67 tff(15160,plain,
% 15.48/10.67 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB147) | (~nextState(constB146, constB147)) | (~(((~v84(constB147, 1)) <=> v84(constB146, 1)) | ((~v84(constB147, 2)) <=> v84(constB146, 2)) | ((~v84(constB147, 0)) <=> v84(constB146, 0))))),
% 15.48/10.67 inference(modus_ponens,[status(thm)],[15159, 15158])).
% 15.48/10.67 tff(15161,plain,
% 15.48/10.67 (v94(constB147) | (~(((~v84(constB147, 1)) <=> v84(constB146, 1)) | ((~v84(constB147, 2)) <=> v84(constB146, 2)) | ((~v84(constB147, 0)) <=> v84(constB146, 0))))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15160, 15131, 819])).
% 15.48/10.67 tff(15162,plain,
% 15.48/10.67 (~(((~v84(constB147, 1)) <=> v84(constB146, 1)) | ((~v84(constB147, 2)) <=> v84(constB146, 2)) | ((~v84(constB147, 0)) <=> v84(constB146, 0)))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15161, 15154])).
% 15.48/10.67 tff(15163,plain,
% 15.48/10.67 ((((~v84(constB147, 1)) <=> v84(constB146, 1)) | ((~v84(constB147, 2)) <=> v84(constB146, 2)) | ((~v84(constB147, 0)) <=> v84(constB146, 0))) | (~((~v84(constB147, 2)) <=> v84(constB146, 2)))),
% 15.48/10.67 inference(tautology,[status(thm)],[])).
% 15.48/10.67 tff(15164,plain,
% 15.48/10.67 (~((~v84(constB147, 2)) <=> v84(constB146, 2))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15163, 15162])).
% 15.48/10.67 tff(15165,plain,
% 15.48/10.67 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 15.48/10.67 inference(rewrite,[status(thm)],[])).
% 15.48/10.67 tff(15166,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_145')).
% 15.48/10.67 tff(15167,plain,
% 15.48/10.67 (nextState(constB145, constB146)),
% 15.48/10.67 inference(modus_ponens,[status(thm)],[15166, 15165])).
% 15.48/10.67 tff(15168,plain,
% 15.48/10.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB145, constB146)) | (~(((~v123(constB146, 2)) <=> v121(constB145, 2)) | ((~v123(constB146, 1)) <=> v121(constB145, 1)) | ((~v123(constB146, 0)) <=> v121(constB145, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB145, constB146)) | (~(((~v123(constB146, 2)) <=> v121(constB145, 2)) | ((~v123(constB146, 1)) <=> v121(constB145, 1)) | ((~v123(constB146, 0)) <=> v121(constB145, 0)))))),
% 15.48/10.67 inference(rewrite,[status(thm)],[])).
% 15.48/10.67 tff(15169,plain,
% 15.48/10.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB145, constB146)) | (~(((~v123(constB146, 2)) <=> v121(constB145, 2)) | ((~v123(constB146, 1)) <=> v121(constB145, 1)) | ((~v123(constB146, 0)) <=> v121(constB145, 0)))))),
% 15.48/10.67 inference(quant_inst,[status(thm)],[])).
% 15.48/10.67 tff(15170,plain,
% 15.48/10.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB145, constB146)) | (~(((~v123(constB146, 2)) <=> v121(constB145, 2)) | ((~v123(constB146, 1)) <=> v121(constB145, 1)) | ((~v123(constB146, 0)) <=> v121(constB145, 0))))),
% 15.48/10.67 inference(modus_ponens,[status(thm)],[15169, 15168])).
% 15.48/10.67 tff(15171,plain,
% 15.48/10.67 (~(((~v123(constB146, 2)) <=> v121(constB145, 2)) | ((~v123(constB146, 1)) <=> v121(constB145, 1)) | ((~v123(constB146, 0)) <=> v121(constB145, 0)))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15170, 15167, 842])).
% 15.48/10.67 tff(15172,plain,
% 15.48/10.67 ((((~v123(constB146, 2)) <=> v121(constB145, 2)) | ((~v123(constB146, 1)) <=> v121(constB145, 1)) | ((~v123(constB146, 0)) <=> v121(constB145, 0))) | (~((~v123(constB146, 2)) <=> v121(constB145, 2)))),
% 15.48/10.67 inference(tautology,[status(thm)],[])).
% 15.48/10.67 tff(15173,plain,
% 15.48/10.67 (~((~v123(constB146, 2)) <=> v121(constB145, 2))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15172, 15171])).
% 15.48/10.67 tff(15174,plain,
% 15.48/10.67 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB145) <=> v26(constB145))),
% 15.48/10.67 inference(quant_inst,[status(thm)],[])).
% 15.48/10.67 tff(15175,plain,
% 15.48/10.67 (v105(constB145) <=> v26(constB145)),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15174, 861])).
% 15.48/10.67 tff(15176,plain,
% 15.48/10.67 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB145))),
% 15.48/10.67 inference(quant_inst,[status(thm)],[])).
% 15.48/10.67 tff(15177,plain,
% 15.48/10.67 (~v26(constB145)),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15176, 873])).
% 15.48/10.67 tff(15178,plain,
% 15.48/10.67 ((~(v105(constB145) <=> v26(constB145))) | (~v105(constB145)) | v26(constB145)),
% 15.48/10.67 inference(tautology,[status(thm)],[])).
% 15.48/10.67 tff(15179,plain,
% 15.48/10.67 ((~(v105(constB145) <=> v26(constB145))) | (~v105(constB145))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15178, 15177])).
% 15.48/10.67 tff(15180,plain,
% 15.48/10.67 (~v105(constB145)),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15179, 15175])).
% 15.48/10.67 tff(15181,plain,
% 15.48/10.67 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB145) | (~(((~v121(constB145, 2)) <=> v124(constB145, 2)) | ((~v121(constB145, 0)) <=> v124(constB145, 0)) | ((~v121(constB145, 1)) <=> v124(constB145, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB145) | (~(((~v121(constB145, 2)) <=> v124(constB145, 2)) | ((~v121(constB145, 0)) <=> v124(constB145, 0)) | ((~v121(constB145, 1)) <=> v124(constB145, 1)))))),
% 15.48/10.67 inference(rewrite,[status(thm)],[])).
% 15.48/10.67 tff(15182,plain,
% 15.48/10.67 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB145) | (~(((~v121(constB145, 2)) <=> v124(constB145, 2)) | ((~v121(constB145, 0)) <=> v124(constB145, 0)) | ((~v121(constB145, 1)) <=> v124(constB145, 1)))))),
% 15.48/10.67 inference(quant_inst,[status(thm)],[])).
% 15.48/10.67 tff(15183,plain,
% 15.48/10.67 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB145) | (~(((~v121(constB145, 2)) <=> v124(constB145, 2)) | ((~v121(constB145, 0)) <=> v124(constB145, 0)) | ((~v121(constB145, 1)) <=> v124(constB145, 1))))),
% 15.48/10.67 inference(modus_ponens,[status(thm)],[15182, 15181])).
% 15.48/10.67 tff(15184,plain,
% 15.48/10.67 (v105(constB145) | (~(((~v121(constB145, 2)) <=> v124(constB145, 2)) | ((~v121(constB145, 0)) <=> v124(constB145, 0)) | ((~v121(constB145, 1)) <=> v124(constB145, 1))))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15183, 891])).
% 15.48/10.67 tff(15185,plain,
% 15.48/10.67 (~(((~v121(constB145, 2)) <=> v124(constB145, 2)) | ((~v121(constB145, 0)) <=> v124(constB145, 0)) | ((~v121(constB145, 1)) <=> v124(constB145, 1)))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15184, 15180])).
% 15.48/10.67 tff(15186,plain,
% 15.48/10.67 ((((~v121(constB145, 2)) <=> v124(constB145, 2)) | ((~v121(constB145, 0)) <=> v124(constB145, 0)) | ((~v121(constB145, 1)) <=> v124(constB145, 1))) | (~((~v121(constB145, 2)) <=> v124(constB145, 2)))),
% 15.48/10.67 inference(tautology,[status(thm)],[])).
% 15.48/10.67 tff(15187,plain,
% 15.48/10.67 (~((~v121(constB145, 2)) <=> v124(constB145, 2))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15186, 15185])).
% 15.48/10.67 tff(15188,plain,
% 15.48/10.67 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB145) <=> (~(v84(constB145, 0) | v84(constB145, 1) | v84(constB145, 2))))),
% 15.48/10.67 inference(quant_inst,[status(thm)],[])).
% 15.48/10.67 tff(15189,plain,
% 15.48/10.67 (v113(constB145) <=> (~(v84(constB145, 0) | v84(constB145, 1) | v84(constB145, 2)))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15188, 1466])).
% 15.48/10.67 tff(15190,plain,
% 15.48/10.67 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 15.48/10.67 inference(rewrite,[status(thm)],[])).
% 15.48/10.67 tff(15191,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_144')).
% 15.48/10.67 tff(15192,plain,
% 15.48/10.67 (nextState(constB144, constB145)),
% 15.48/10.67 inference(modus_ponens,[status(thm)],[15191, 15190])).
% 15.48/10.67 tff(15193,plain,
% 15.48/10.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB144, constB145)) | (v94(constB145) <=> (~((~v95(constB145)) | (~v104(constB145))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB144, constB145)) | (v94(constB145) <=> (~((~v95(constB145)) | (~v104(constB145))))))),
% 15.48/10.67 inference(rewrite,[status(thm)],[])).
% 15.48/10.67 tff(15194,plain,
% 15.48/10.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB144, constB145)) | (v94(constB145) <=> (~((~v95(constB145)) | (~v104(constB145))))))),
% 15.48/10.67 inference(quant_inst,[status(thm)],[])).
% 15.48/10.67 tff(15195,plain,
% 15.48/10.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB144, constB145)) | (v94(constB145) <=> (~((~v95(constB145)) | (~v104(constB145)))))),
% 15.48/10.67 inference(modus_ponens,[status(thm)],[15194, 15193])).
% 15.48/10.67 tff(15196,plain,
% 15.48/10.67 (v94(constB145) <=> (~((~v95(constB145)) | (~v104(constB145))))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15195, 15192, 770])).
% 15.48/10.67 tff(15197,plain,
% 15.48/10.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145))))))),
% 15.48/10.67 inference(rewrite,[status(thm)],[])).
% 15.48/10.67 tff(15198,plain,
% 15.48/10.67 (((~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v96(constB145)) | (~v1(constB145)))))) <=> ((~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145))))))),
% 15.48/10.67 inference(rewrite,[status(thm)],[])).
% 15.48/10.67 tff(15199,plain,
% 15.48/10.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v96(constB145)) | (~v1(constB145))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145)))))))),
% 15.48/10.67 inference(monotonicity,[status(thm)],[15198])).
% 15.48/10.67 tff(15200,plain,
% 15.48/10.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v96(constB145)) | (~v1(constB145))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145))))))),
% 15.48/10.67 inference(transitivity,[status(thm)],[15199, 15197])).
% 15.48/10.67 tff(15201,plain,
% 15.48/10.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v96(constB145)) | (~v1(constB145))))))),
% 15.48/10.67 inference(quant_inst,[status(thm)],[])).
% 15.48/10.67 tff(15202,plain,
% 15.48/10.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145)))))),
% 15.48/10.67 inference(modus_ponens,[status(thm)],[15201, 15200])).
% 15.48/10.67 tff(15203,plain,
% 15.48/10.67 (v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145))))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15202, 15192, 790])).
% 15.48/10.67 tff(15204,plain,
% 15.48/10.67 ((~v1(constB145)) <=> (~v1(constB145))),
% 15.48/10.67 inference(rewrite,[status(thm)],[])).
% 15.48/10.67 tff(15205,axiom,(~v1(constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_145')).
% 15.48/10.67 tff(15206,plain,
% 15.48/10.67 (~v1(constB145)),
% 15.48/10.67 inference(modus_ponens,[status(thm)],[15205, 15204])).
% 15.48/10.67 tff(15207,plain,
% 15.48/10.67 (((~v1(constB145)) | (~v96(constB145))) | v1(constB145)),
% 15.48/10.67 inference(tautology,[status(thm)],[])).
% 15.48/10.67 tff(15208,plain,
% 15.48/10.67 ((~v1(constB145)) | (~v96(constB145))),
% 15.48/10.67 inference(unit_resolution,[status(thm)],[15207, 15206])).
% 15.48/10.67 tff(15209,plain,
% 15.48/10.67 ((~(v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145)))))) | (~v95(constB145)) | (~((~v1(constB145)) | (~v96(constB145))))),
% 15.48/10.67 inference(tautology,[status(thm)],[])).
% 15.48/10.67 tff(15210,plain,
% 15.48/10.67 ((~(v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145)))))) | (~v95(constB145))),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15209, 15208])).
% 15.48/10.68 tff(15211,plain,
% 15.48/10.68 (~v95(constB145)),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15210, 15203])).
% 15.48/10.68 tff(15212,plain,
% 15.48/10.68 (((~v95(constB145)) | (~v104(constB145))) | v95(constB145)),
% 15.48/10.68 inference(tautology,[status(thm)],[])).
% 15.48/10.68 tff(15213,plain,
% 15.48/10.68 ((~v95(constB145)) | (~v104(constB145))),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15212, 15211])).
% 15.48/10.68 tff(15214,plain,
% 15.48/10.68 ((~(v94(constB145) <=> (~((~v95(constB145)) | (~v104(constB145)))))) | (~v94(constB145)) | (~((~v95(constB145)) | (~v104(constB145))))),
% 15.48/10.68 inference(tautology,[status(thm)],[])).
% 15.48/10.68 tff(15215,plain,
% 15.48/10.68 (~v94(constB145)),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15214, 15213, 15196])).
% 15.48/10.68 tff(15216,plain,
% 15.48/10.68 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB145) | (~nextState(constB144, constB145)) | (~(((~v84(constB145, 1)) <=> v84(constB144, 1)) | ((~v84(constB145, 2)) <=> v84(constB144, 2)) | ((~v84(constB145, 0)) <=> v84(constB144, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB145) | (~nextState(constB144, constB145)) | (~(((~v84(constB145, 1)) <=> v84(constB144, 1)) | ((~v84(constB145, 2)) <=> v84(constB144, 2)) | ((~v84(constB145, 0)) <=> v84(constB144, 0)))))),
% 15.48/10.68 inference(rewrite,[status(thm)],[])).
% 15.48/10.68 tff(15217,plain,
% 15.48/10.68 ((v94(constB145) | (~nextState(constB144, constB145)) | (~(((~v84(constB145, 2)) <=> v84(constB144, 2)) | ((~v84(constB145, 1)) <=> v84(constB144, 1)) | ((~v84(constB145, 0)) <=> v84(constB144, 0))))) <=> (v94(constB145) | (~nextState(constB144, constB145)) | (~(((~v84(constB145, 1)) <=> v84(constB144, 1)) | ((~v84(constB145, 2)) <=> v84(constB144, 2)) | ((~v84(constB145, 0)) <=> v84(constB144, 0)))))),
% 15.48/10.68 inference(rewrite,[status(thm)],[])).
% 15.48/10.68 tff(15218,plain,
% 15.48/10.68 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB145) | (~nextState(constB144, constB145)) | (~(((~v84(constB145, 2)) <=> v84(constB144, 2)) | ((~v84(constB145, 1)) <=> v84(constB144, 1)) | ((~v84(constB145, 0)) <=> v84(constB144, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB145) | (~nextState(constB144, constB145)) | (~(((~v84(constB145, 1)) <=> v84(constB144, 1)) | ((~v84(constB145, 2)) <=> v84(constB144, 2)) | ((~v84(constB145, 0)) <=> v84(constB144, 0))))))),
% 15.48/10.68 inference(monotonicity,[status(thm)],[15217])).
% 15.48/10.68 tff(15219,plain,
% 15.48/10.68 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB145) | (~nextState(constB144, constB145)) | (~(((~v84(constB145, 2)) <=> v84(constB144, 2)) | ((~v84(constB145, 1)) <=> v84(constB144, 1)) | ((~v84(constB145, 0)) <=> v84(constB144, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB145) | (~nextState(constB144, constB145)) | (~(((~v84(constB145, 1)) <=> v84(constB144, 1)) | ((~v84(constB145, 2)) <=> v84(constB144, 2)) | ((~v84(constB145, 0)) <=> v84(constB144, 0)))))),
% 15.48/10.68 inference(transitivity,[status(thm)],[15218, 15216])).
% 15.48/10.68 tff(15220,plain,
% 15.48/10.68 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB145) | (~nextState(constB144, constB145)) | (~(((~v84(constB145, 2)) <=> v84(constB144, 2)) | ((~v84(constB145, 1)) <=> v84(constB144, 1)) | ((~v84(constB145, 0)) <=> v84(constB144, 0)))))),
% 15.48/10.68 inference(quant_inst,[status(thm)],[])).
% 15.48/10.68 tff(15221,plain,
% 15.48/10.68 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB145) | (~nextState(constB144, constB145)) | (~(((~v84(constB145, 1)) <=> v84(constB144, 1)) | ((~v84(constB145, 2)) <=> v84(constB144, 2)) | ((~v84(constB145, 0)) <=> v84(constB144, 0))))),
% 15.48/10.68 inference(modus_ponens,[status(thm)],[15220, 15219])).
% 15.48/10.68 tff(15222,plain,
% 15.48/10.68 (v94(constB145) | (~(((~v84(constB145, 1)) <=> v84(constB144, 1)) | ((~v84(constB145, 2)) <=> v84(constB144, 2)) | ((~v84(constB145, 0)) <=> v84(constB144, 0))))),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15221, 15192, 819])).
% 15.48/10.68 tff(15223,plain,
% 15.48/10.68 (~(((~v84(constB145, 1)) <=> v84(constB144, 1)) | ((~v84(constB145, 2)) <=> v84(constB144, 2)) | ((~v84(constB145, 0)) <=> v84(constB144, 0)))),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15222, 15215])).
% 15.48/10.68 tff(15224,plain,
% 15.48/10.68 ((((~v84(constB145, 1)) <=> v84(constB144, 1)) | ((~v84(constB145, 2)) <=> v84(constB144, 2)) | ((~v84(constB145, 0)) <=> v84(constB144, 0))) | (~((~v84(constB145, 2)) <=> v84(constB144, 2)))),
% 15.48/10.68 inference(tautology,[status(thm)],[])).
% 15.48/10.68 tff(15225,plain,
% 15.48/10.68 (~((~v84(constB145, 2)) <=> v84(constB144, 2))),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15224, 15223])).
% 15.48/10.68 tff(15226,plain,
% 15.48/10.68 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 15.48/10.68 inference(rewrite,[status(thm)],[])).
% 15.48/10.68 tff(15227,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_143')).
% 15.48/10.68 tff(15228,plain,
% 15.48/10.68 (nextState(constB143, constB144)),
% 15.48/10.68 inference(modus_ponens,[status(thm)],[15227, 15226])).
% 15.48/10.68 tff(15229,plain,
% 15.48/10.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB143, constB144)) | (~(((~v123(constB144, 2)) <=> v121(constB143, 2)) | ((~v123(constB144, 1)) <=> v121(constB143, 1)) | ((~v123(constB144, 0)) <=> v121(constB143, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB143, constB144)) | (~(((~v123(constB144, 2)) <=> v121(constB143, 2)) | ((~v123(constB144, 1)) <=> v121(constB143, 1)) | ((~v123(constB144, 0)) <=> v121(constB143, 0)))))),
% 15.48/10.68 inference(rewrite,[status(thm)],[])).
% 15.48/10.68 tff(15230,plain,
% 15.48/10.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB143, constB144)) | (~(((~v123(constB144, 2)) <=> v121(constB143, 2)) | ((~v123(constB144, 1)) <=> v121(constB143, 1)) | ((~v123(constB144, 0)) <=> v121(constB143, 0)))))),
% 15.48/10.68 inference(quant_inst,[status(thm)],[])).
% 15.48/10.68 tff(15231,plain,
% 15.48/10.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB143, constB144)) | (~(((~v123(constB144, 2)) <=> v121(constB143, 2)) | ((~v123(constB144, 1)) <=> v121(constB143, 1)) | ((~v123(constB144, 0)) <=> v121(constB143, 0))))),
% 15.48/10.68 inference(modus_ponens,[status(thm)],[15230, 15229])).
% 15.48/10.68 tff(15232,plain,
% 15.48/10.68 (~(((~v123(constB144, 2)) <=> v121(constB143, 2)) | ((~v123(constB144, 1)) <=> v121(constB143, 1)) | ((~v123(constB144, 0)) <=> v121(constB143, 0)))),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15231, 15228, 842])).
% 15.48/10.68 tff(15233,plain,
% 15.48/10.68 ((((~v123(constB144, 2)) <=> v121(constB143, 2)) | ((~v123(constB144, 1)) <=> v121(constB143, 1)) | ((~v123(constB144, 0)) <=> v121(constB143, 0))) | (~((~v123(constB144, 2)) <=> v121(constB143, 2)))),
% 15.48/10.68 inference(tautology,[status(thm)],[])).
% 15.48/10.68 tff(15234,plain,
% 15.48/10.68 (~((~v123(constB144, 2)) <=> v121(constB143, 2))),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15233, 15232])).
% 15.48/10.68 tff(15235,plain,
% 15.48/10.68 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB143) <=> v26(constB143))),
% 15.48/10.68 inference(quant_inst,[status(thm)],[])).
% 15.48/10.68 tff(15236,plain,
% 15.48/10.68 (v105(constB143) <=> v26(constB143)),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15235, 861])).
% 15.48/10.68 tff(15237,plain,
% 15.48/10.68 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB143))),
% 15.48/10.68 inference(quant_inst,[status(thm)],[])).
% 15.48/10.68 tff(15238,plain,
% 15.48/10.68 (~v26(constB143)),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15237, 873])).
% 15.48/10.68 tff(15239,plain,
% 15.48/10.68 ((~(v105(constB143) <=> v26(constB143))) | (~v105(constB143)) | v26(constB143)),
% 15.48/10.68 inference(tautology,[status(thm)],[])).
% 15.48/10.68 tff(15240,plain,
% 15.48/10.68 ((~(v105(constB143) <=> v26(constB143))) | (~v105(constB143))),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15239, 15238])).
% 15.48/10.68 tff(15241,plain,
% 15.48/10.68 (~v105(constB143)),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15240, 15236])).
% 15.48/10.68 tff(15242,plain,
% 15.48/10.68 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB143) | (~(((~v121(constB143, 2)) <=> v124(constB143, 2)) | ((~v121(constB143, 0)) <=> v124(constB143, 0)) | ((~v121(constB143, 1)) <=> v124(constB143, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB143) | (~(((~v121(constB143, 2)) <=> v124(constB143, 2)) | ((~v121(constB143, 0)) <=> v124(constB143, 0)) | ((~v121(constB143, 1)) <=> v124(constB143, 1)))))),
% 15.48/10.68 inference(rewrite,[status(thm)],[])).
% 15.48/10.68 tff(15243,plain,
% 15.48/10.68 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB143) | (~(((~v121(constB143, 2)) <=> v124(constB143, 2)) | ((~v121(constB143, 0)) <=> v124(constB143, 0)) | ((~v121(constB143, 1)) <=> v124(constB143, 1)))))),
% 15.48/10.68 inference(quant_inst,[status(thm)],[])).
% 15.48/10.68 tff(15244,plain,
% 15.48/10.68 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB143) | (~(((~v121(constB143, 2)) <=> v124(constB143, 2)) | ((~v121(constB143, 0)) <=> v124(constB143, 0)) | ((~v121(constB143, 1)) <=> v124(constB143, 1))))),
% 15.48/10.68 inference(modus_ponens,[status(thm)],[15243, 15242])).
% 15.48/10.68 tff(15245,plain,
% 15.48/10.68 (v105(constB143) | (~(((~v121(constB143, 2)) <=> v124(constB143, 2)) | ((~v121(constB143, 0)) <=> v124(constB143, 0)) | ((~v121(constB143, 1)) <=> v124(constB143, 1))))),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15244, 891])).
% 15.48/10.68 tff(15246,plain,
% 15.48/10.68 (~(((~v121(constB143, 2)) <=> v124(constB143, 2)) | ((~v121(constB143, 0)) <=> v124(constB143, 0)) | ((~v121(constB143, 1)) <=> v124(constB143, 1)))),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15245, 15241])).
% 15.48/10.68 tff(15247,plain,
% 15.48/10.68 ((((~v121(constB143, 2)) <=> v124(constB143, 2)) | ((~v121(constB143, 0)) <=> v124(constB143, 0)) | ((~v121(constB143, 1)) <=> v124(constB143, 1))) | (~((~v121(constB143, 2)) <=> v124(constB143, 2)))),
% 15.48/10.68 inference(tautology,[status(thm)],[])).
% 15.48/10.68 tff(15248,plain,
% 15.48/10.68 (~((~v121(constB143, 2)) <=> v124(constB143, 2))),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15247, 15246])).
% 15.48/10.68 tff(15249,plain,
% 15.48/10.68 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB143) <=> (~(v84(constB143, 1) | v84(constB143, 0) | (~v84(constB143, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB143) <=> (~(v84(constB143, 1) | v84(constB143, 0) | (~v84(constB143, 2))))))),
% 15.48/10.68 inference(rewrite,[status(thm)],[])).
% 15.48/10.68 tff(15250,plain,
% 15.48/10.68 ((v117(constB143) <=> (~(v84(constB143, 0) | v84(constB143, 1) | (~v84(constB143, 2))))) <=> (v117(constB143) <=> (~(v84(constB143, 1) | v84(constB143, 0) | (~v84(constB143, 2)))))),
% 15.48/10.68 inference(rewrite,[status(thm)],[])).
% 15.48/10.68 tff(15251,plain,
% 15.48/10.68 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB143) <=> (~(v84(constB143, 0) | v84(constB143, 1) | (~v84(constB143, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB143) <=> (~(v84(constB143, 1) | v84(constB143, 0) | (~v84(constB143, 2))))))),
% 15.48/10.68 inference(monotonicity,[status(thm)],[15250])).
% 15.48/10.68 tff(15252,plain,
% 15.48/10.68 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB143) <=> (~(v84(constB143, 0) | v84(constB143, 1) | (~v84(constB143, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB143) <=> (~(v84(constB143, 1) | v84(constB143, 0) | (~v84(constB143, 2))))))),
% 15.48/10.68 inference(transitivity,[status(thm)],[15251, 15249])).
% 15.48/10.68 tff(15253,plain,
% 15.48/10.68 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB143) <=> (~(v84(constB143, 0) | v84(constB143, 1) | (~v84(constB143, 2)))))),
% 15.48/10.68 inference(quant_inst,[status(thm)],[])).
% 15.48/10.68 tff(15254,plain,
% 15.48/10.68 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB143) <=> (~(v84(constB143, 1) | v84(constB143, 0) | (~v84(constB143, 2)))))),
% 15.48/10.68 inference(modus_ponens,[status(thm)],[15253, 15252])).
% 15.48/10.68 tff(15255,plain,
% 15.48/10.68 (v117(constB143) <=> (~(v84(constB143, 1) | v84(constB143, 0) | (~v84(constB143, 2))))),
% 15.48/10.68 inference(unit_resolution,[status(thm)],[15254, 1199])).
% 15.48/10.68 tff(15256,plain,
% 15.48/10.68 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 15.48/10.68 inference(rewrite,[status(thm)],[])).
% 15.48/10.68 tff(15257,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_142')).
% 15.48/10.68 tff(15258,plain,
% 15.48/10.68 (nextState(constB142, constB143)),
% 15.48/10.68 inference(modus_ponens,[status(thm)],[15257, 15256])).
% 15.48/10.68 tff(15259,plain,
% 15.48/10.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB142, constB143)) | (v94(constB143) <=> (~((~v95(constB143)) | (~v104(constB143))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB142, constB143)) | (v94(constB143) <=> (~((~v95(constB143)) | (~v104(constB143))))))),
% 15.48/10.68 inference(rewrite,[status(thm)],[])).
% 15.48/10.68 tff(15260,plain,
% 15.48/10.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB142, constB143)) | (v94(constB143) <=> (~((~v95(constB143)) | (~v104(constB143))))))),
% 15.48/10.68 inference(quant_inst,[status(thm)],[])).
% 15.48/10.68 tff(15261,plain,
% 15.48/10.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB142, constB143)) | (v94(constB143) <=> (~((~v95(constB143)) | (~v104(constB143)))))),
% 15.48/10.68 inference(modus_ponens,[status(thm)],[15260, 15259])).
% 15.48/10.68 tff(15262,plain,
% 15.48/10.68 (v94(constB143) <=> (~((~v95(constB143)) | (~v104(constB143))))),
% 15.48/10.69 inference(unit_resolution,[status(thm)],[15261, 15258, 770])).
% 15.48/10.69 tff(15263,plain,
% 15.48/10.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143))))))),
% 15.48/10.69 inference(rewrite,[status(thm)],[])).
% 15.48/10.69 tff(15264,plain,
% 15.48/10.69 (((~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v96(constB143)) | (~v1(constB143)))))) <=> ((~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143))))))),
% 15.48/10.69 inference(rewrite,[status(thm)],[])).
% 15.48/10.69 tff(15265,plain,
% 15.48/10.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v96(constB143)) | (~v1(constB143))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143)))))))),
% 15.48/10.69 inference(monotonicity,[status(thm)],[15264])).
% 15.48/10.69 tff(15266,plain,
% 15.48/10.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v96(constB143)) | (~v1(constB143))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143))))))),
% 15.48/10.69 inference(transitivity,[status(thm)],[15265, 15263])).
% 15.48/10.69 tff(15267,plain,
% 15.48/10.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v96(constB143)) | (~v1(constB143))))))),
% 15.48/10.69 inference(quant_inst,[status(thm)],[])).
% 15.48/10.69 tff(15268,plain,
% 15.48/10.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143)))))),
% 15.48/10.69 inference(modus_ponens,[status(thm)],[15267, 15266])).
% 15.48/10.69 tff(15269,plain,
% 15.48/10.69 (v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143))))),
% 15.48/10.69 inference(unit_resolution,[status(thm)],[15268, 15258, 790])).
% 15.48/10.69 tff(15270,plain,
% 15.48/10.69 ((~v1(constB143)) <=> (~v1(constB143))),
% 15.48/10.69 inference(rewrite,[status(thm)],[])).
% 15.48/10.69 tff(15271,axiom,(~v1(constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_143')).
% 15.48/10.69 tff(15272,plain,
% 15.48/10.69 (~v1(constB143)),
% 15.48/10.69 inference(modus_ponens,[status(thm)],[15271, 15270])).
% 15.48/10.69 tff(15273,plain,
% 15.48/10.69 (((~v1(constB143)) | (~v96(constB143))) | v1(constB143)),
% 15.48/10.69 inference(tautology,[status(thm)],[])).
% 15.48/10.69 tff(15274,plain,
% 15.48/10.69 ((~v1(constB143)) | (~v96(constB143))),
% 15.48/10.69 inference(unit_resolution,[status(thm)],[15273, 15272])).
% 15.48/10.69 tff(15275,plain,
% 15.48/10.69 ((~(v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143)))))) | (~v95(constB143)) | (~((~v1(constB143)) | (~v96(constB143))))),
% 15.48/10.69 inference(tautology,[status(thm)],[])).
% 15.48/10.69 tff(15276,plain,
% 15.48/10.69 ((~(v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143)))))) | (~v95(constB143))),
% 15.48/10.69 inference(unit_resolution,[status(thm)],[15275, 15274])).
% 15.48/10.69 tff(15277,plain,
% 15.48/10.69 (~v95(constB143)),
% 15.48/10.69 inference(unit_resolution,[status(thm)],[15276, 15269])).
% 15.48/10.69 tff(15278,plain,
% 15.48/10.69 (((~v95(constB143)) | (~v104(constB143))) | v95(constB143)),
% 15.48/10.69 inference(tautology,[status(thm)],[])).
% 15.48/10.69 tff(15279,plain,
% 15.48/10.69 ((~v95(constB143)) | (~v104(constB143))),
% 15.48/10.69 inference(unit_resolution,[status(thm)],[15278, 15277])).
% 15.48/10.69 tff(15280,plain,
% 15.48/10.69 ((~(v94(constB143) <=> (~((~v95(constB143)) | (~v104(constB143)))))) | (~v94(constB143)) | (~((~v95(constB143)) | (~v104(constB143))))),
% 15.48/10.69 inference(tautology,[status(thm)],[])).
% 15.48/10.69 tff(15281,plain,
% 15.48/10.69 (~v94(constB143)),
% 15.48/10.69 inference(unit_resolution,[status(thm)],[15280, 15279, 15262])).
% 15.48/10.69 tff(15282,plain,
% 15.48/10.69 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB143) | (~nextState(constB142, constB143)) | (~(((~v84(constB143, 1)) <=> v84(constB142, 1)) | ((~v84(constB143, 2)) <=> v84(constB142, 2)) | ((~v84(constB143, 0)) <=> v84(constB142, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB143) | (~nextState(constB142, constB143)) | (~(((~v84(constB143, 1)) <=> v84(constB142, 1)) | ((~v84(constB143, 2)) <=> v84(constB142, 2)) | ((~v84(constB143, 0)) <=> v84(constB142, 0)))))),
% 15.48/10.69 inference(rewrite,[status(thm)],[])).
% 15.48/10.69 tff(15283,plain,
% 15.48/10.69 ((v94(constB143) | (~nextState(constB142, constB143)) | (~(((~v84(constB143, 2)) <=> v84(constB142, 2)) | ((~v84(constB143, 1)) <=> v84(constB142, 1)) | ((~v84(constB143, 0)) <=> v84(constB142, 0))))) <=> (v94(constB143) | (~nextState(constB142, constB143)) | (~(((~v84(constB143, 1)) <=> v84(constB142, 1)) | ((~v84(constB143, 2)) <=> v84(constB142, 2)) | ((~v84(constB143, 0)) <=> v84(constB142, 0)))))),
% 15.48/10.69 inference(rewrite,[status(thm)],[])).
% 15.48/10.69 tff(15284,plain,
% 15.48/10.69 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB143) | (~nextState(constB142, constB143)) | (~(((~v84(constB143, 2)) <=> v84(constB142, 2)) | ((~v84(constB143, 1)) <=> v84(constB142, 1)) | ((~v84(constB143, 0)) <=> v84(constB142, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB143) | (~nextState(constB142, constB143)) | (~(((~v84(constB143, 1)) <=> v84(constB142, 1)) | ((~v84(constB143, 2)) <=> v84(constB142, 2)) | ((~v84(constB143, 0)) <=> v84(constB142, 0))))))),
% 15.48/10.69 inference(monotonicity,[status(thm)],[15283])).
% 15.48/10.69 tff(15285,plain,
% 15.48/10.69 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB143) | (~nextState(constB142, constB143)) | (~(((~v84(constB143, 2)) <=> v84(constB142, 2)) | ((~v84(constB143, 1)) <=> v84(constB142, 1)) | ((~v84(constB143, 0)) <=> v84(constB142, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB143) | (~nextState(constB142, constB143)) | (~(((~v84(constB143, 1)) <=> v84(constB142, 1)) | ((~v84(constB143, 2)) <=> v84(constB142, 2)) | ((~v84(constB143, 0)) <=> v84(constB142, 0)))))),
% 15.48/10.69 inference(transitivity,[status(thm)],[15284, 15282])).
% 15.48/10.69 tff(15286,plain,
% 15.48/10.69 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB143) | (~nextState(constB142, constB143)) | (~(((~v84(constB143, 2)) <=> v84(constB142, 2)) | ((~v84(constB143, 1)) <=> v84(constB142, 1)) | ((~v84(constB143, 0)) <=> v84(constB142, 0)))))),
% 15.48/10.69 inference(quant_inst,[status(thm)],[])).
% 15.48/10.69 tff(15287,plain,
% 15.48/10.69 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB143) | (~nextState(constB142, constB143)) | (~(((~v84(constB143, 1)) <=> v84(constB142, 1)) | ((~v84(constB143, 2)) <=> v84(constB142, 2)) | ((~v84(constB143, 0)) <=> v84(constB142, 0))))),
% 15.48/10.69 inference(modus_ponens,[status(thm)],[15286, 15285])).
% 15.48/10.69 tff(15288,plain,
% 15.48/10.69 (v94(constB143) | (~(((~v84(constB143, 1)) <=> v84(constB142, 1)) | ((~v84(constB143, 2)) <=> v84(constB142, 2)) | ((~v84(constB143, 0)) <=> v84(constB142, 0))))),
% 15.48/10.69 inference(unit_resolution,[status(thm)],[15287, 15258, 819])).
% 15.48/10.69 tff(15289,plain,
% 15.48/10.69 (~(((~v84(constB143, 1)) <=> v84(constB142, 1)) | ((~v84(constB143, 2)) <=> v84(constB142, 2)) | ((~v84(constB143, 0)) <=> v84(constB142, 0)))),
% 15.48/10.69 inference(unit_resolution,[status(thm)],[15288, 15281])).
% 15.48/10.69 tff(15290,plain,
% 15.48/10.69 ((((~v84(constB143, 1)) <=> v84(constB142, 1)) | ((~v84(constB143, 2)) <=> v84(constB142, 2)) | ((~v84(constB143, 0)) <=> v84(constB142, 0))) | (~((~v84(constB143, 2)) <=> v84(constB142, 2)))),
% 15.48/10.69 inference(tautology,[status(thm)],[])).
% 15.48/10.69 tff(15291,plain,
% 15.48/10.69 (~((~v84(constB143, 2)) <=> v84(constB142, 2))),
% 15.48/10.69 inference(unit_resolution,[status(thm)],[15290, 15289])).
% 15.48/10.69 tff(15292,plain,
% 15.48/10.69 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 15.48/10.69 inference(rewrite,[status(thm)],[])).
% 15.48/10.69 tff(15293,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_141')).
% 15.48/10.69 tff(15294,plain,
% 15.48/10.69 (nextState(constB141, constB142)),
% 15.48/10.69 inference(modus_ponens,[status(thm)],[15293, 15292])).
% 15.48/10.69 tff(15295,plain,
% 15.48/10.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB141, constB142)) | (~(((~v123(constB142, 2)) <=> v121(constB141, 2)) | ((~v123(constB142, 1)) <=> v121(constB141, 1)) | ((~v123(constB142, 0)) <=> v121(constB141, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB141, constB142)) | (~(((~v123(constB142, 2)) <=> v121(constB141, 2)) | ((~v123(constB142, 1)) <=> v121(constB141, 1)) | ((~v123(constB142, 0)) <=> v121(constB141, 0)))))),
% 15.48/10.69 inference(rewrite,[status(thm)],[])).
% 15.48/10.69 tff(15296,plain,
% 15.48/10.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB141, constB142)) | (~(((~v123(constB142, 2)) <=> v121(constB141, 2)) | ((~v123(constB142, 1)) <=> v121(constB141, 1)) | ((~v123(constB142, 0)) <=> v121(constB141, 0)))))),
% 15.48/10.69 inference(quant_inst,[status(thm)],[])).
% 15.48/10.69 tff(15297,plain,
% 15.48/10.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB141, constB142)) | (~(((~v123(constB142, 2)) <=> v121(constB141, 2)) | ((~v123(constB142, 1)) <=> v121(constB141, 1)) | ((~v123(constB142, 0)) <=> v121(constB141, 0))))),
% 15.48/10.69 inference(modus_ponens,[status(thm)],[15296, 15295])).
% 15.48/10.69 tff(15298,plain,
% 15.48/10.69 (~(((~v123(constB142, 2)) <=> v121(constB141, 2)) | ((~v123(constB142, 1)) <=> v121(constB141, 1)) | ((~v123(constB142, 0)) <=> v121(constB141, 0)))),
% 15.48/10.69 inference(unit_resolution,[status(thm)],[15297, 15294, 842])).
% 15.48/10.69 tff(15299,plain,
% 15.48/10.69 ((((~v123(constB142, 2)) <=> v121(constB141, 2)) | ((~v123(constB142, 1)) <=> v121(constB141, 1)) | ((~v123(constB142, 0)) <=> v121(constB141, 0))) | (~((~v123(constB142, 2)) <=> v121(constB141, 2)))),
% 15.56/10.69 inference(tautology,[status(thm)],[])).
% 15.56/10.69 tff(15300,plain,
% 15.56/10.69 (~((~v123(constB142, 2)) <=> v121(constB141, 2))),
% 15.56/10.69 inference(unit_resolution,[status(thm)],[15299, 15298])).
% 15.56/10.69 tff(15301,plain,
% 15.56/10.69 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB141) <=> v26(constB141))),
% 15.56/10.69 inference(quant_inst,[status(thm)],[])).
% 15.56/10.69 tff(15302,plain,
% 15.56/10.69 (v105(constB141) <=> v26(constB141)),
% 15.56/10.69 inference(unit_resolution,[status(thm)],[15301, 861])).
% 15.56/10.69 tff(15303,plain,
% 15.56/10.69 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB141))),
% 15.56/10.69 inference(quant_inst,[status(thm)],[])).
% 15.56/10.69 tff(15304,plain,
% 15.56/10.69 (~v26(constB141)),
% 15.56/10.69 inference(unit_resolution,[status(thm)],[15303, 873])).
% 15.56/10.69 tff(15305,plain,
% 15.56/10.69 ((~(v105(constB141) <=> v26(constB141))) | (~v105(constB141)) | v26(constB141)),
% 15.56/10.69 inference(tautology,[status(thm)],[])).
% 15.56/10.69 tff(15306,plain,
% 15.56/10.69 ((~(v105(constB141) <=> v26(constB141))) | (~v105(constB141))),
% 15.56/10.69 inference(unit_resolution,[status(thm)],[15305, 15304])).
% 15.56/10.69 tff(15307,plain,
% 15.56/10.69 (~v105(constB141)),
% 15.56/10.69 inference(unit_resolution,[status(thm)],[15306, 15302])).
% 15.56/10.69 tff(15308,plain,
% 15.56/10.69 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB141) | (~(((~v121(constB141, 2)) <=> v124(constB141, 2)) | ((~v121(constB141, 0)) <=> v124(constB141, 0)) | ((~v121(constB141, 1)) <=> v124(constB141, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB141) | (~(((~v121(constB141, 2)) <=> v124(constB141, 2)) | ((~v121(constB141, 0)) <=> v124(constB141, 0)) | ((~v121(constB141, 1)) <=> v124(constB141, 1)))))),
% 15.56/10.69 inference(rewrite,[status(thm)],[])).
% 15.56/10.69 tff(15309,plain,
% 15.56/10.69 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB141) | (~(((~v121(constB141, 2)) <=> v124(constB141, 2)) | ((~v121(constB141, 0)) <=> v124(constB141, 0)) | ((~v121(constB141, 1)) <=> v124(constB141, 1)))))),
% 15.56/10.69 inference(quant_inst,[status(thm)],[])).
% 15.56/10.69 tff(15310,plain,
% 15.56/10.69 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB141) | (~(((~v121(constB141, 2)) <=> v124(constB141, 2)) | ((~v121(constB141, 0)) <=> v124(constB141, 0)) | ((~v121(constB141, 1)) <=> v124(constB141, 1))))),
% 15.56/10.69 inference(modus_ponens,[status(thm)],[15309, 15308])).
% 15.56/10.69 tff(15311,plain,
% 15.56/10.69 (v105(constB141) | (~(((~v121(constB141, 2)) <=> v124(constB141, 2)) | ((~v121(constB141, 0)) <=> v124(constB141, 0)) | ((~v121(constB141, 1)) <=> v124(constB141, 1))))),
% 15.56/10.69 inference(unit_resolution,[status(thm)],[15310, 891])).
% 15.56/10.69 tff(15312,plain,
% 15.56/10.69 (~(((~v121(constB141, 2)) <=> v124(constB141, 2)) | ((~v121(constB141, 0)) <=> v124(constB141, 0)) | ((~v121(constB141, 1)) <=> v124(constB141, 1)))),
% 15.56/10.69 inference(unit_resolution,[status(thm)],[15311, 15307])).
% 15.56/10.69 tff(15313,plain,
% 15.56/10.69 ((((~v121(constB141, 2)) <=> v124(constB141, 2)) | ((~v121(constB141, 0)) <=> v124(constB141, 0)) | ((~v121(constB141, 1)) <=> v124(constB141, 1))) | (~((~v121(constB141, 2)) <=> v124(constB141, 2)))),
% 15.56/10.69 inference(tautology,[status(thm)],[])).
% 15.56/10.69 tff(15314,plain,
% 15.56/10.69 (~((~v121(constB141, 2)) <=> v124(constB141, 2))),
% 15.56/10.69 inference(unit_resolution,[status(thm)],[15313, 15312])).
% 15.56/10.69 tff(15315,plain,
% 15.56/10.69 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB141) <=> (~(v84(constB141, 2) | (~v84(constB141, 1)) | (~v84(constB141, 0)))))),
% 15.56/10.69 inference(quant_inst,[status(thm)],[])).
% 15.56/10.69 tff(15316,plain,
% 15.56/10.69 (v116(constB141) <=> (~(v84(constB141, 2) | (~v84(constB141, 1)) | (~v84(constB141, 0))))),
% 15.56/10.69 inference(unit_resolution,[status(thm)],[15315, 911])).
% 15.56/10.69 tff(15317,plain,
% 15.56/10.69 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 15.56/10.69 inference(rewrite,[status(thm)],[])).
% 15.56/10.69 tff(15318,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_140')).
% 15.56/10.69 tff(15319,plain,
% 15.56/10.69 (nextState(constB140, constB141)),
% 15.56/10.69 inference(modus_ponens,[status(thm)],[15318, 15317])).
% 15.56/10.69 tff(15320,plain,
% 15.56/10.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB140, constB141)) | (v94(constB141) <=> (~((~v95(constB141)) | (~v104(constB141))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB140, constB141)) | (v94(constB141) <=> (~((~v95(constB141)) | (~v104(constB141))))))),
% 15.56/10.69 inference(rewrite,[status(thm)],[])).
% 15.56/10.69 tff(15321,plain,
% 15.56/10.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB140, constB141)) | (v94(constB141) <=> (~((~v95(constB141)) | (~v104(constB141))))))),
% 15.56/10.69 inference(quant_inst,[status(thm)],[])).
% 15.56/10.69 tff(15322,plain,
% 15.56/10.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB140, constB141)) | (v94(constB141) <=> (~((~v95(constB141)) | (~v104(constB141)))))),
% 15.56/10.69 inference(modus_ponens,[status(thm)],[15321, 15320])).
% 15.56/10.69 tff(15323,plain,
% 15.56/10.69 (v94(constB141) <=> (~((~v95(constB141)) | (~v104(constB141))))),
% 15.56/10.69 inference(unit_resolution,[status(thm)],[15322, 15319, 770])).
% 15.56/10.69 tff(15324,plain,
% 15.56/10.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141))))))),
% 15.56/10.69 inference(rewrite,[status(thm)],[])).
% 15.56/10.69 tff(15325,plain,
% 15.56/10.69 (((~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v96(constB141)) | (~v1(constB141)))))) <=> ((~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141))))))),
% 15.56/10.69 inference(rewrite,[status(thm)],[])).
% 15.56/10.69 tff(15326,plain,
% 15.56/10.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v96(constB141)) | (~v1(constB141))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141)))))))),
% 15.56/10.69 inference(monotonicity,[status(thm)],[15325])).
% 15.56/10.69 tff(15327,plain,
% 15.56/10.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v96(constB141)) | (~v1(constB141))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141))))))),
% 15.56/10.69 inference(transitivity,[status(thm)],[15326, 15324])).
% 15.56/10.69 tff(15328,plain,
% 15.56/10.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v96(constB141)) | (~v1(constB141))))))),
% 15.56/10.69 inference(quant_inst,[status(thm)],[])).
% 15.56/10.70 tff(15329,plain,
% 15.56/10.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141)))))),
% 15.56/10.70 inference(modus_ponens,[status(thm)],[15328, 15327])).
% 15.56/10.70 tff(15330,plain,
% 15.56/10.70 (v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141))))),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15329, 15319, 790])).
% 15.56/10.70 tff(15331,plain,
% 15.56/10.70 ((~v1(constB141)) <=> (~v1(constB141))),
% 15.56/10.70 inference(rewrite,[status(thm)],[])).
% 15.56/10.70 tff(15332,axiom,(~v1(constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_141')).
% 15.56/10.70 tff(15333,plain,
% 15.56/10.70 (~v1(constB141)),
% 15.56/10.70 inference(modus_ponens,[status(thm)],[15332, 15331])).
% 15.56/10.70 tff(15334,plain,
% 15.56/10.70 (((~v1(constB141)) | (~v96(constB141))) | v1(constB141)),
% 15.56/10.70 inference(tautology,[status(thm)],[])).
% 15.56/10.70 tff(15335,plain,
% 15.56/10.70 ((~v1(constB141)) | (~v96(constB141))),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15334, 15333])).
% 15.56/10.70 tff(15336,plain,
% 15.56/10.70 ((~(v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141)))))) | (~v95(constB141)) | (~((~v1(constB141)) | (~v96(constB141))))),
% 15.56/10.70 inference(tautology,[status(thm)],[])).
% 15.56/10.70 tff(15337,plain,
% 15.56/10.70 ((~(v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141)))))) | (~v95(constB141))),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15336, 15335])).
% 15.56/10.70 tff(15338,plain,
% 15.56/10.70 (~v95(constB141)),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15337, 15330])).
% 15.56/10.70 tff(15339,plain,
% 15.56/10.70 (((~v95(constB141)) | (~v104(constB141))) | v95(constB141)),
% 15.56/10.70 inference(tautology,[status(thm)],[])).
% 15.56/10.70 tff(15340,plain,
% 15.56/10.70 ((~v95(constB141)) | (~v104(constB141))),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15339, 15338])).
% 15.56/10.70 tff(15341,plain,
% 15.56/10.70 ((~(v94(constB141) <=> (~((~v95(constB141)) | (~v104(constB141)))))) | (~v94(constB141)) | (~((~v95(constB141)) | (~v104(constB141))))),
% 15.56/10.70 inference(tautology,[status(thm)],[])).
% 15.56/10.70 tff(15342,plain,
% 15.56/10.70 (~v94(constB141)),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15341, 15340, 15323])).
% 15.56/10.70 tff(15343,plain,
% 15.56/10.70 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB141) | (~nextState(constB140, constB141)) | (~(((~v84(constB141, 1)) <=> v84(constB140, 1)) | ((~v84(constB141, 2)) <=> v84(constB140, 2)) | ((~v84(constB141, 0)) <=> v84(constB140, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB141) | (~nextState(constB140, constB141)) | (~(((~v84(constB141, 1)) <=> v84(constB140, 1)) | ((~v84(constB141, 2)) <=> v84(constB140, 2)) | ((~v84(constB141, 0)) <=> v84(constB140, 0)))))),
% 15.56/10.70 inference(rewrite,[status(thm)],[])).
% 15.56/10.70 tff(15344,plain,
% 15.56/10.70 ((v94(constB141) | (~nextState(constB140, constB141)) | (~(((~v84(constB141, 2)) <=> v84(constB140, 2)) | ((~v84(constB141, 1)) <=> v84(constB140, 1)) | ((~v84(constB141, 0)) <=> v84(constB140, 0))))) <=> (v94(constB141) | (~nextState(constB140, constB141)) | (~(((~v84(constB141, 1)) <=> v84(constB140, 1)) | ((~v84(constB141, 2)) <=> v84(constB140, 2)) | ((~v84(constB141, 0)) <=> v84(constB140, 0)))))),
% 15.56/10.70 inference(rewrite,[status(thm)],[])).
% 15.56/10.70 tff(15345,plain,
% 15.56/10.70 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB141) | (~nextState(constB140, constB141)) | (~(((~v84(constB141, 2)) <=> v84(constB140, 2)) | ((~v84(constB141, 1)) <=> v84(constB140, 1)) | ((~v84(constB141, 0)) <=> v84(constB140, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB141) | (~nextState(constB140, constB141)) | (~(((~v84(constB141, 1)) <=> v84(constB140, 1)) | ((~v84(constB141, 2)) <=> v84(constB140, 2)) | ((~v84(constB141, 0)) <=> v84(constB140, 0))))))),
% 15.56/10.70 inference(monotonicity,[status(thm)],[15344])).
% 15.56/10.70 tff(15346,plain,
% 15.56/10.70 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB141) | (~nextState(constB140, constB141)) | (~(((~v84(constB141, 2)) <=> v84(constB140, 2)) | ((~v84(constB141, 1)) <=> v84(constB140, 1)) | ((~v84(constB141, 0)) <=> v84(constB140, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB141) | (~nextState(constB140, constB141)) | (~(((~v84(constB141, 1)) <=> v84(constB140, 1)) | ((~v84(constB141, 2)) <=> v84(constB140, 2)) | ((~v84(constB141, 0)) <=> v84(constB140, 0)))))),
% 15.56/10.70 inference(transitivity,[status(thm)],[15345, 15343])).
% 15.56/10.70 tff(15347,plain,
% 15.56/10.70 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB141) | (~nextState(constB140, constB141)) | (~(((~v84(constB141, 2)) <=> v84(constB140, 2)) | ((~v84(constB141, 1)) <=> v84(constB140, 1)) | ((~v84(constB141, 0)) <=> v84(constB140, 0)))))),
% 15.56/10.70 inference(quant_inst,[status(thm)],[])).
% 15.56/10.70 tff(15348,plain,
% 15.56/10.70 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB141) | (~nextState(constB140, constB141)) | (~(((~v84(constB141, 1)) <=> v84(constB140, 1)) | ((~v84(constB141, 2)) <=> v84(constB140, 2)) | ((~v84(constB141, 0)) <=> v84(constB140, 0))))),
% 15.56/10.70 inference(modus_ponens,[status(thm)],[15347, 15346])).
% 15.56/10.70 tff(15349,plain,
% 15.56/10.70 (v94(constB141) | (~(((~v84(constB141, 1)) <=> v84(constB140, 1)) | ((~v84(constB141, 2)) <=> v84(constB140, 2)) | ((~v84(constB141, 0)) <=> v84(constB140, 0))))),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15348, 15319, 819])).
% 15.56/10.70 tff(15350,plain,
% 15.56/10.70 (~(((~v84(constB141, 1)) <=> v84(constB140, 1)) | ((~v84(constB141, 2)) <=> v84(constB140, 2)) | ((~v84(constB141, 0)) <=> v84(constB140, 0)))),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15349, 15342])).
% 15.56/10.70 tff(15351,plain,
% 15.56/10.70 ((((~v84(constB141, 1)) <=> v84(constB140, 1)) | ((~v84(constB141, 2)) <=> v84(constB140, 2)) | ((~v84(constB141, 0)) <=> v84(constB140, 0))) | (~((~v84(constB141, 2)) <=> v84(constB140, 2)))),
% 15.56/10.70 inference(tautology,[status(thm)],[])).
% 15.56/10.70 tff(15352,plain,
% 15.56/10.70 (~((~v84(constB141, 2)) <=> v84(constB140, 2))),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15351, 15350])).
% 15.56/10.70 tff(15353,plain,
% 15.56/10.70 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 15.56/10.70 inference(rewrite,[status(thm)],[])).
% 15.56/10.70 tff(15354,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_139')).
% 15.56/10.70 tff(15355,plain,
% 15.56/10.70 (nextState(constB139, constB140)),
% 15.56/10.70 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 15.56/10.70 tff(15356,plain,
% 15.56/10.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB139, constB140)) | (~(((~v123(constB140, 2)) <=> v121(constB139, 2)) | ((~v123(constB140, 1)) <=> v121(constB139, 1)) | ((~v123(constB140, 0)) <=> v121(constB139, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB139, constB140)) | (~(((~v123(constB140, 2)) <=> v121(constB139, 2)) | ((~v123(constB140, 1)) <=> v121(constB139, 1)) | ((~v123(constB140, 0)) <=> v121(constB139, 0)))))),
% 15.56/10.70 inference(rewrite,[status(thm)],[])).
% 15.56/10.70 tff(15357,plain,
% 15.56/10.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB139, constB140)) | (~(((~v123(constB140, 2)) <=> v121(constB139, 2)) | ((~v123(constB140, 1)) <=> v121(constB139, 1)) | ((~v123(constB140, 0)) <=> v121(constB139, 0)))))),
% 15.56/10.70 inference(quant_inst,[status(thm)],[])).
% 15.56/10.70 tff(15358,plain,
% 15.56/10.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB139, constB140)) | (~(((~v123(constB140, 2)) <=> v121(constB139, 2)) | ((~v123(constB140, 1)) <=> v121(constB139, 1)) | ((~v123(constB140, 0)) <=> v121(constB139, 0))))),
% 15.56/10.70 inference(modus_ponens,[status(thm)],[15357, 15356])).
% 15.56/10.70 tff(15359,plain,
% 15.56/10.70 (~(((~v123(constB140, 2)) <=> v121(constB139, 2)) | ((~v123(constB140, 1)) <=> v121(constB139, 1)) | ((~v123(constB140, 0)) <=> v121(constB139, 0)))),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15358, 15355, 842])).
% 15.56/10.70 tff(15360,plain,
% 15.56/10.70 ((((~v123(constB140, 2)) <=> v121(constB139, 2)) | ((~v123(constB140, 1)) <=> v121(constB139, 1)) | ((~v123(constB140, 0)) <=> v121(constB139, 0))) | (~((~v123(constB140, 2)) <=> v121(constB139, 2)))),
% 15.56/10.70 inference(tautology,[status(thm)],[])).
% 15.56/10.70 tff(15361,plain,
% 15.56/10.70 (~((~v123(constB140, 2)) <=> v121(constB139, 2))),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15360, 15359])).
% 15.56/10.70 tff(15362,plain,
% 15.56/10.70 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB139) <=> v26(constB139))),
% 15.56/10.70 inference(quant_inst,[status(thm)],[])).
% 15.56/10.70 tff(15363,plain,
% 15.56/10.70 (v105(constB139) <=> v26(constB139)),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15362, 861])).
% 15.56/10.70 tff(15364,plain,
% 15.56/10.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB139))),
% 15.56/10.70 inference(quant_inst,[status(thm)],[])).
% 15.56/10.70 tff(15365,plain,
% 15.56/10.70 (~v26(constB139)),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15364, 873])).
% 15.56/10.70 tff(15366,plain,
% 15.56/10.70 ((~(v105(constB139) <=> v26(constB139))) | (~v105(constB139)) | v26(constB139)),
% 15.56/10.70 inference(tautology,[status(thm)],[])).
% 15.56/10.70 tff(15367,plain,
% 15.56/10.70 ((~(v105(constB139) <=> v26(constB139))) | (~v105(constB139))),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15366, 15365])).
% 15.56/10.70 tff(15368,plain,
% 15.56/10.70 (~v105(constB139)),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15367, 15363])).
% 15.56/10.70 tff(15369,plain,
% 15.56/10.70 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB139) | (~(((~v121(constB139, 2)) <=> v124(constB139, 2)) | ((~v121(constB139, 0)) <=> v124(constB139, 0)) | ((~v121(constB139, 1)) <=> v124(constB139, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB139) | (~(((~v121(constB139, 2)) <=> v124(constB139, 2)) | ((~v121(constB139, 0)) <=> v124(constB139, 0)) | ((~v121(constB139, 1)) <=> v124(constB139, 1)))))),
% 15.56/10.70 inference(rewrite,[status(thm)],[])).
% 15.56/10.70 tff(15370,plain,
% 15.56/10.70 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB139) | (~(((~v121(constB139, 2)) <=> v124(constB139, 2)) | ((~v121(constB139, 0)) <=> v124(constB139, 0)) | ((~v121(constB139, 1)) <=> v124(constB139, 1)))))),
% 15.56/10.70 inference(quant_inst,[status(thm)],[])).
% 15.56/10.70 tff(15371,plain,
% 15.56/10.70 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB139) | (~(((~v121(constB139, 2)) <=> v124(constB139, 2)) | ((~v121(constB139, 0)) <=> v124(constB139, 0)) | ((~v121(constB139, 1)) <=> v124(constB139, 1))))),
% 15.56/10.70 inference(modus_ponens,[status(thm)],[15370, 15369])).
% 15.56/10.70 tff(15372,plain,
% 15.56/10.70 (v105(constB139) | (~(((~v121(constB139, 2)) <=> v124(constB139, 2)) | ((~v121(constB139, 0)) <=> v124(constB139, 0)) | ((~v121(constB139, 1)) <=> v124(constB139, 1))))),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15371, 891])).
% 15.56/10.70 tff(15373,plain,
% 15.56/10.70 (~(((~v121(constB139, 2)) <=> v124(constB139, 2)) | ((~v121(constB139, 0)) <=> v124(constB139, 0)) | ((~v121(constB139, 1)) <=> v124(constB139, 1)))),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15372, 15368])).
% 15.56/10.70 tff(15374,plain,
% 15.56/10.70 ((((~v121(constB139, 2)) <=> v124(constB139, 2)) | ((~v121(constB139, 0)) <=> v124(constB139, 0)) | ((~v121(constB139, 1)) <=> v124(constB139, 1))) | (~((~v121(constB139, 2)) <=> v124(constB139, 2)))),
% 15.56/10.70 inference(tautology,[status(thm)],[])).
% 15.56/10.70 tff(15375,plain,
% 15.56/10.70 (~((~v121(constB139, 2)) <=> v124(constB139, 2))),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15374, 15373])).
% 15.56/10.70 tff(15376,plain,
% 15.56/10.70 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB139) <=> (~(v84(constB139, 2) | v84(constB139, 0) | (~v84(constB139, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB139) <=> (~(v84(constB139, 2) | v84(constB139, 0) | (~v84(constB139, 1))))))),
% 15.56/10.70 inference(rewrite,[status(thm)],[])).
% 15.56/10.70 tff(15377,plain,
% 15.56/10.70 ((v115(constB139) <=> (~(v84(constB139, 0) | v84(constB139, 2) | (~v84(constB139, 1))))) <=> (v115(constB139) <=> (~(v84(constB139, 2) | v84(constB139, 0) | (~v84(constB139, 1)))))),
% 15.56/10.70 inference(rewrite,[status(thm)],[])).
% 15.56/10.70 tff(15378,plain,
% 15.56/10.70 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB139) <=> (~(v84(constB139, 0) | v84(constB139, 2) | (~v84(constB139, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB139) <=> (~(v84(constB139, 2) | v84(constB139, 0) | (~v84(constB139, 1))))))),
% 15.56/10.70 inference(monotonicity,[status(thm)],[15377])).
% 15.56/10.70 tff(15379,plain,
% 15.56/10.70 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB139) <=> (~(v84(constB139, 0) | v84(constB139, 2) | (~v84(constB139, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB139) <=> (~(v84(constB139, 2) | v84(constB139, 0) | (~v84(constB139, 1))))))),
% 15.56/10.70 inference(transitivity,[status(thm)],[15378, 15376])).
% 15.56/10.70 tff(15380,plain,
% 15.56/10.70 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB139) <=> (~(v84(constB139, 0) | v84(constB139, 2) | (~v84(constB139, 1)))))),
% 15.56/10.70 inference(quant_inst,[status(thm)],[])).
% 15.56/10.70 tff(15381,plain,
% 15.56/10.70 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB139) <=> (~(v84(constB139, 2) | v84(constB139, 0) | (~v84(constB139, 1)))))),
% 15.56/10.70 inference(modus_ponens,[status(thm)],[15380, 15379])).
% 15.56/10.70 tff(15382,plain,
% 15.56/10.70 (v115(constB139) <=> (~(v84(constB139, 2) | v84(constB139, 0) | (~v84(constB139, 1))))),
% 15.56/10.70 inference(unit_resolution,[status(thm)],[15381, 985])).
% 15.56/10.70 tff(15383,plain,
% 15.56/10.70 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 15.56/10.70 inference(rewrite,[status(thm)],[])).
% 15.56/10.70 tff(15384,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_138')).
% 15.56/10.70 tff(15385,plain,
% 15.56/10.70 (nextState(constB138, constB139)),
% 15.56/10.70 inference(modus_ponens,[status(thm)],[15384, 15383])).
% 15.56/10.71 tff(15386,plain,
% 15.56/10.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB138, constB139)) | (v94(constB139) <=> (~((~v95(constB139)) | (~v104(constB139))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB138, constB139)) | (v94(constB139) <=> (~((~v95(constB139)) | (~v104(constB139))))))),
% 15.56/10.71 inference(rewrite,[status(thm)],[])).
% 15.56/10.71 tff(15387,plain,
% 15.56/10.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB138, constB139)) | (v94(constB139) <=> (~((~v95(constB139)) | (~v104(constB139))))))),
% 15.56/10.71 inference(quant_inst,[status(thm)],[])).
% 15.56/10.71 tff(15388,plain,
% 15.56/10.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB138, constB139)) | (v94(constB139) <=> (~((~v95(constB139)) | (~v104(constB139)))))),
% 15.56/10.71 inference(modus_ponens,[status(thm)],[15387, 15386])).
% 15.56/10.71 tff(15389,plain,
% 15.56/10.71 (v94(constB139) <=> (~((~v95(constB139)) | (~v104(constB139))))),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15388, 15385, 770])).
% 15.56/10.71 tff(15390,plain,
% 15.56/10.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139))))))),
% 15.56/10.71 inference(rewrite,[status(thm)],[])).
% 15.56/10.71 tff(15391,plain,
% 15.56/10.71 (((~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v96(constB139)) | (~v1(constB139)))))) <=> ((~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139))))))),
% 15.56/10.71 inference(rewrite,[status(thm)],[])).
% 15.56/10.71 tff(15392,plain,
% 15.56/10.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v96(constB139)) | (~v1(constB139))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139)))))))),
% 15.56/10.71 inference(monotonicity,[status(thm)],[15391])).
% 15.56/10.71 tff(15393,plain,
% 15.56/10.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v96(constB139)) | (~v1(constB139))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139))))))),
% 15.56/10.71 inference(transitivity,[status(thm)],[15392, 15390])).
% 15.56/10.71 tff(15394,plain,
% 15.56/10.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v96(constB139)) | (~v1(constB139))))))),
% 15.56/10.71 inference(quant_inst,[status(thm)],[])).
% 15.56/10.71 tff(15395,plain,
% 15.56/10.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139)))))),
% 15.56/10.71 inference(modus_ponens,[status(thm)],[15394, 15393])).
% 15.56/10.71 tff(15396,plain,
% 15.56/10.71 (v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139))))),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15395, 15385, 790])).
% 15.56/10.71 tff(15397,plain,
% 15.56/10.71 ((~v1(constB139)) <=> (~v1(constB139))),
% 15.56/10.71 inference(rewrite,[status(thm)],[])).
% 15.56/10.71 tff(15398,axiom,(~v1(constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_139')).
% 15.56/10.71 tff(15399,plain,
% 15.56/10.71 (~v1(constB139)),
% 15.56/10.71 inference(modus_ponens,[status(thm)],[15398, 15397])).
% 15.56/10.71 tff(15400,plain,
% 15.56/10.71 (((~v1(constB139)) | (~v96(constB139))) | v1(constB139)),
% 15.56/10.71 inference(tautology,[status(thm)],[])).
% 15.56/10.71 tff(15401,plain,
% 15.56/10.71 ((~v1(constB139)) | (~v96(constB139))),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15400, 15399])).
% 15.56/10.71 tff(15402,plain,
% 15.56/10.71 ((~(v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139)))))) | (~v95(constB139)) | (~((~v1(constB139)) | (~v96(constB139))))),
% 15.56/10.71 inference(tautology,[status(thm)],[])).
% 15.56/10.71 tff(15403,plain,
% 15.56/10.71 ((~(v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139)))))) | (~v95(constB139))),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15402, 15401])).
% 15.56/10.71 tff(15404,plain,
% 15.56/10.71 (~v95(constB139)),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15403, 15396])).
% 15.56/10.71 tff(15405,plain,
% 15.56/10.71 (((~v95(constB139)) | (~v104(constB139))) | v95(constB139)),
% 15.56/10.71 inference(tautology,[status(thm)],[])).
% 15.56/10.71 tff(15406,plain,
% 15.56/10.71 ((~v95(constB139)) | (~v104(constB139))),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15405, 15404])).
% 15.56/10.71 tff(15407,plain,
% 15.56/10.71 ((~(v94(constB139) <=> (~((~v95(constB139)) | (~v104(constB139)))))) | (~v94(constB139)) | (~((~v95(constB139)) | (~v104(constB139))))),
% 15.56/10.71 inference(tautology,[status(thm)],[])).
% 15.56/10.71 tff(15408,plain,
% 15.56/10.71 (~v94(constB139)),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15407, 15406, 15389])).
% 15.56/10.71 tff(15409,plain,
% 15.56/10.71 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB139) | (~nextState(constB138, constB139)) | (~(((~v84(constB139, 1)) <=> v84(constB138, 1)) | ((~v84(constB139, 2)) <=> v84(constB138, 2)) | ((~v84(constB139, 0)) <=> v84(constB138, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB139) | (~nextState(constB138, constB139)) | (~(((~v84(constB139, 1)) <=> v84(constB138, 1)) | ((~v84(constB139, 2)) <=> v84(constB138, 2)) | ((~v84(constB139, 0)) <=> v84(constB138, 0)))))),
% 15.56/10.71 inference(rewrite,[status(thm)],[])).
% 15.56/10.71 tff(15410,plain,
% 15.56/10.71 ((v94(constB139) | (~nextState(constB138, constB139)) | (~(((~v84(constB139, 2)) <=> v84(constB138, 2)) | ((~v84(constB139, 1)) <=> v84(constB138, 1)) | ((~v84(constB139, 0)) <=> v84(constB138, 0))))) <=> (v94(constB139) | (~nextState(constB138, constB139)) | (~(((~v84(constB139, 1)) <=> v84(constB138, 1)) | ((~v84(constB139, 2)) <=> v84(constB138, 2)) | ((~v84(constB139, 0)) <=> v84(constB138, 0)))))),
% 15.56/10.71 inference(rewrite,[status(thm)],[])).
% 15.56/10.71 tff(15411,plain,
% 15.56/10.71 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB139) | (~nextState(constB138, constB139)) | (~(((~v84(constB139, 2)) <=> v84(constB138, 2)) | ((~v84(constB139, 1)) <=> v84(constB138, 1)) | ((~v84(constB139, 0)) <=> v84(constB138, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB139) | (~nextState(constB138, constB139)) | (~(((~v84(constB139, 1)) <=> v84(constB138, 1)) | ((~v84(constB139, 2)) <=> v84(constB138, 2)) | ((~v84(constB139, 0)) <=> v84(constB138, 0))))))),
% 15.56/10.71 inference(monotonicity,[status(thm)],[15410])).
% 15.56/10.71 tff(15412,plain,
% 15.56/10.71 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB139) | (~nextState(constB138, constB139)) | (~(((~v84(constB139, 2)) <=> v84(constB138, 2)) | ((~v84(constB139, 1)) <=> v84(constB138, 1)) | ((~v84(constB139, 0)) <=> v84(constB138, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB139) | (~nextState(constB138, constB139)) | (~(((~v84(constB139, 1)) <=> v84(constB138, 1)) | ((~v84(constB139, 2)) <=> v84(constB138, 2)) | ((~v84(constB139, 0)) <=> v84(constB138, 0)))))),
% 15.56/10.71 inference(transitivity,[status(thm)],[15411, 15409])).
% 15.56/10.71 tff(15413,plain,
% 15.56/10.71 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB139) | (~nextState(constB138, constB139)) | (~(((~v84(constB139, 2)) <=> v84(constB138, 2)) | ((~v84(constB139, 1)) <=> v84(constB138, 1)) | ((~v84(constB139, 0)) <=> v84(constB138, 0)))))),
% 15.56/10.71 inference(quant_inst,[status(thm)],[])).
% 15.56/10.71 tff(15414,plain,
% 15.56/10.71 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB139) | (~nextState(constB138, constB139)) | (~(((~v84(constB139, 1)) <=> v84(constB138, 1)) | ((~v84(constB139, 2)) <=> v84(constB138, 2)) | ((~v84(constB139, 0)) <=> v84(constB138, 0))))),
% 15.56/10.71 inference(modus_ponens,[status(thm)],[15413, 15412])).
% 15.56/10.71 tff(15415,plain,
% 15.56/10.71 (v94(constB139) | (~(((~v84(constB139, 1)) <=> v84(constB138, 1)) | ((~v84(constB139, 2)) <=> v84(constB138, 2)) | ((~v84(constB139, 0)) <=> v84(constB138, 0))))),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15414, 15385, 819])).
% 15.56/10.71 tff(15416,plain,
% 15.56/10.71 (~(((~v84(constB139, 1)) <=> v84(constB138, 1)) | ((~v84(constB139, 2)) <=> v84(constB138, 2)) | ((~v84(constB139, 0)) <=> v84(constB138, 0)))),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15415, 15408])).
% 15.56/10.71 tff(15417,plain,
% 15.56/10.71 ((((~v84(constB139, 1)) <=> v84(constB138, 1)) | ((~v84(constB139, 2)) <=> v84(constB138, 2)) | ((~v84(constB139, 0)) <=> v84(constB138, 0))) | (~((~v84(constB139, 2)) <=> v84(constB138, 2)))),
% 15.56/10.71 inference(tautology,[status(thm)],[])).
% 15.56/10.71 tff(15418,plain,
% 15.56/10.71 (~((~v84(constB139, 2)) <=> v84(constB138, 2))),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15417, 15416])).
% 15.56/10.71 tff(15419,plain,
% 15.56/10.71 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 15.56/10.71 inference(rewrite,[status(thm)],[])).
% 15.56/10.71 tff(15420,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_137')).
% 15.56/10.71 tff(15421,plain,
% 15.56/10.71 (nextState(constB137, constB138)),
% 15.56/10.71 inference(modus_ponens,[status(thm)],[15420, 15419])).
% 15.56/10.71 tff(15422,plain,
% 15.56/10.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB137, constB138)) | (~(((~v123(constB138, 2)) <=> v121(constB137, 2)) | ((~v123(constB138, 1)) <=> v121(constB137, 1)) | ((~v123(constB138, 0)) <=> v121(constB137, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB137, constB138)) | (~(((~v123(constB138, 2)) <=> v121(constB137, 2)) | ((~v123(constB138, 1)) <=> v121(constB137, 1)) | ((~v123(constB138, 0)) <=> v121(constB137, 0)))))),
% 15.56/10.71 inference(rewrite,[status(thm)],[])).
% 15.56/10.71 tff(15423,plain,
% 15.56/10.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB137, constB138)) | (~(((~v123(constB138, 2)) <=> v121(constB137, 2)) | ((~v123(constB138, 1)) <=> v121(constB137, 1)) | ((~v123(constB138, 0)) <=> v121(constB137, 0)))))),
% 15.56/10.71 inference(quant_inst,[status(thm)],[])).
% 15.56/10.71 tff(15424,plain,
% 15.56/10.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB137, constB138)) | (~(((~v123(constB138, 2)) <=> v121(constB137, 2)) | ((~v123(constB138, 1)) <=> v121(constB137, 1)) | ((~v123(constB138, 0)) <=> v121(constB137, 0))))),
% 15.56/10.71 inference(modus_ponens,[status(thm)],[15423, 15422])).
% 15.56/10.71 tff(15425,plain,
% 15.56/10.71 (~(((~v123(constB138, 2)) <=> v121(constB137, 2)) | ((~v123(constB138, 1)) <=> v121(constB137, 1)) | ((~v123(constB138, 0)) <=> v121(constB137, 0)))),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15424, 15421, 842])).
% 15.56/10.71 tff(15426,plain,
% 15.56/10.71 ((((~v123(constB138, 2)) <=> v121(constB137, 2)) | ((~v123(constB138, 1)) <=> v121(constB137, 1)) | ((~v123(constB138, 0)) <=> v121(constB137, 0))) | (~((~v123(constB138, 2)) <=> v121(constB137, 2)))),
% 15.56/10.71 inference(tautology,[status(thm)],[])).
% 15.56/10.71 tff(15427,plain,
% 15.56/10.71 (~((~v123(constB138, 2)) <=> v121(constB137, 2))),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15426, 15425])).
% 15.56/10.71 tff(15428,plain,
% 15.56/10.71 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB137) <=> v26(constB137))),
% 15.56/10.71 inference(quant_inst,[status(thm)],[])).
% 15.56/10.71 tff(15429,plain,
% 15.56/10.71 (v105(constB137) <=> v26(constB137)),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15428, 861])).
% 15.56/10.71 tff(15430,plain,
% 15.56/10.71 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB137))),
% 15.56/10.71 inference(quant_inst,[status(thm)],[])).
% 15.56/10.71 tff(15431,plain,
% 15.56/10.71 (~v26(constB137)),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15430, 873])).
% 15.56/10.71 tff(15432,plain,
% 15.56/10.71 ((~(v105(constB137) <=> v26(constB137))) | (~v105(constB137)) | v26(constB137)),
% 15.56/10.71 inference(tautology,[status(thm)],[])).
% 15.56/10.71 tff(15433,plain,
% 15.56/10.71 ((~(v105(constB137) <=> v26(constB137))) | (~v105(constB137))),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15432, 15431])).
% 15.56/10.71 tff(15434,plain,
% 15.56/10.71 (~v105(constB137)),
% 15.56/10.71 inference(unit_resolution,[status(thm)],[15433, 15429])).
% 15.56/10.71 tff(15435,plain,
% 15.56/10.71 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB137) | (~(((~v121(constB137, 2)) <=> v124(constB137, 2)) | ((~v121(constB137, 0)) <=> v124(constB137, 0)) | ((~v121(constB137, 1)) <=> v124(constB137, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB137) | (~(((~v121(constB137, 2)) <=> v124(constB137, 2)) | ((~v121(constB137, 0)) <=> v124(constB137, 0)) | ((~v121(constB137, 1)) <=> v124(constB137, 1)))))),
% 15.56/10.71 inference(rewrite,[status(thm)],[])).
% 15.56/10.71 tff(15436,plain,
% 15.56/10.71 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB137) | (~(((~v121(constB137, 2)) <=> v124(constB137, 2)) | ((~v121(constB137, 0)) <=> v124(constB137, 0)) | ((~v121(constB137, 1)) <=> v124(constB137, 1)))))),
% 15.56/10.71 inference(quant_inst,[status(thm)],[])).
% 15.56/10.71 tff(15437,plain,
% 15.56/10.71 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB137) | (~(((~v121(constB137, 2)) <=> v124(constB137, 2)) | ((~v121(constB137, 0)) <=> v124(constB137, 0)) | ((~v121(constB137, 1)) <=> v124(constB137, 1))))),
% 15.56/10.71 inference(modus_ponens,[status(thm)],[15436, 15435])).
% 15.56/10.72 tff(15438,plain,
% 15.56/10.72 (v105(constB137) | (~(((~v121(constB137, 2)) <=> v124(constB137, 2)) | ((~v121(constB137, 0)) <=> v124(constB137, 0)) | ((~v121(constB137, 1)) <=> v124(constB137, 1))))),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15437, 891])).
% 15.56/10.72 tff(15439,plain,
% 15.56/10.72 (~(((~v121(constB137, 2)) <=> v124(constB137, 2)) | ((~v121(constB137, 0)) <=> v124(constB137, 0)) | ((~v121(constB137, 1)) <=> v124(constB137, 1)))),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15438, 15434])).
% 15.56/10.72 tff(15440,plain,
% 15.56/10.72 ((((~v121(constB137, 2)) <=> v124(constB137, 2)) | ((~v121(constB137, 0)) <=> v124(constB137, 0)) | ((~v121(constB137, 1)) <=> v124(constB137, 1))) | (~((~v121(constB137, 2)) <=> v124(constB137, 2)))),
% 15.56/10.72 inference(tautology,[status(thm)],[])).
% 15.56/10.72 tff(15441,plain,
% 15.56/10.72 (~((~v121(constB137, 2)) <=> v124(constB137, 2))),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15440, 15439])).
% 15.56/10.72 tff(15442,plain,
% 15.56/10.72 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB137) <=> (~(v84(constB137, 1) | v84(constB137, 2) | (~v84(constB137, 0)))))),
% 15.56/10.72 inference(quant_inst,[status(thm)],[])).
% 15.56/10.72 tff(15443,plain,
% 15.56/10.72 (v114(constB137) <=> (~(v84(constB137, 1) | v84(constB137, 2) | (~v84(constB137, 0))))),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15442, 1064])).
% 15.56/10.72 tff(15444,plain,
% 15.56/10.72 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 15.56/10.72 inference(rewrite,[status(thm)],[])).
% 15.56/10.72 tff(15445,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_136')).
% 15.56/10.72 tff(15446,plain,
% 15.56/10.72 (nextState(constB136, constB137)),
% 15.56/10.72 inference(modus_ponens,[status(thm)],[15445, 15444])).
% 15.56/10.72 tff(15447,plain,
% 15.56/10.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB136, constB137)) | (v94(constB137) <=> (~((~v95(constB137)) | (~v104(constB137))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB136, constB137)) | (v94(constB137) <=> (~((~v95(constB137)) | (~v104(constB137))))))),
% 15.56/10.72 inference(rewrite,[status(thm)],[])).
% 15.56/10.72 tff(15448,plain,
% 15.56/10.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB136, constB137)) | (v94(constB137) <=> (~((~v95(constB137)) | (~v104(constB137))))))),
% 15.56/10.72 inference(quant_inst,[status(thm)],[])).
% 15.56/10.72 tff(15449,plain,
% 15.56/10.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB136, constB137)) | (v94(constB137) <=> (~((~v95(constB137)) | (~v104(constB137)))))),
% 15.56/10.72 inference(modus_ponens,[status(thm)],[15448, 15447])).
% 15.56/10.72 tff(15450,plain,
% 15.56/10.72 (v94(constB137) <=> (~((~v95(constB137)) | (~v104(constB137))))),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15449, 15446, 770])).
% 15.56/10.72 tff(15451,plain,
% 15.56/10.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137))))))),
% 15.56/10.72 inference(rewrite,[status(thm)],[])).
% 15.56/10.72 tff(15452,plain,
% 15.56/10.72 (((~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v96(constB137)) | (~v1(constB137)))))) <=> ((~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137))))))),
% 15.56/10.72 inference(rewrite,[status(thm)],[])).
% 15.56/10.72 tff(15453,plain,
% 15.56/10.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v96(constB137)) | (~v1(constB137))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137)))))))),
% 15.56/10.72 inference(monotonicity,[status(thm)],[15452])).
% 15.56/10.72 tff(15454,plain,
% 15.56/10.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v96(constB137)) | (~v1(constB137))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137))))))),
% 15.56/10.72 inference(transitivity,[status(thm)],[15453, 15451])).
% 15.56/10.72 tff(15455,plain,
% 15.56/10.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v96(constB137)) | (~v1(constB137))))))),
% 15.56/10.72 inference(quant_inst,[status(thm)],[])).
% 15.56/10.72 tff(15456,plain,
% 15.56/10.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137)))))),
% 15.56/10.72 inference(modus_ponens,[status(thm)],[15455, 15454])).
% 15.56/10.72 tff(15457,plain,
% 15.56/10.72 (v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137))))),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15456, 15446, 790])).
% 15.56/10.72 tff(15458,plain,
% 15.56/10.72 ((~v1(constB137)) <=> (~v1(constB137))),
% 15.56/10.72 inference(rewrite,[status(thm)],[])).
% 15.56/10.72 tff(15459,axiom,(~v1(constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_137')).
% 15.56/10.72 tff(15460,plain,
% 15.56/10.72 (~v1(constB137)),
% 15.56/10.72 inference(modus_ponens,[status(thm)],[15459, 15458])).
% 15.56/10.72 tff(15461,plain,
% 15.56/10.72 (((~v1(constB137)) | (~v96(constB137))) | v1(constB137)),
% 15.56/10.72 inference(tautology,[status(thm)],[])).
% 15.56/10.72 tff(15462,plain,
% 15.56/10.72 ((~v1(constB137)) | (~v96(constB137))),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15461, 15460])).
% 15.56/10.72 tff(15463,plain,
% 15.56/10.72 ((~(v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137)))))) | (~v95(constB137)) | (~((~v1(constB137)) | (~v96(constB137))))),
% 15.56/10.72 inference(tautology,[status(thm)],[])).
% 15.56/10.72 tff(15464,plain,
% 15.56/10.72 ((~(v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137)))))) | (~v95(constB137))),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15463, 15462])).
% 15.56/10.72 tff(15465,plain,
% 15.56/10.72 (~v95(constB137)),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15464, 15457])).
% 15.56/10.72 tff(15466,plain,
% 15.56/10.72 (((~v95(constB137)) | (~v104(constB137))) | v95(constB137)),
% 15.56/10.72 inference(tautology,[status(thm)],[])).
% 15.56/10.72 tff(15467,plain,
% 15.56/10.72 ((~v95(constB137)) | (~v104(constB137))),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15466, 15465])).
% 15.56/10.72 tff(15468,plain,
% 15.56/10.72 ((~(v94(constB137) <=> (~((~v95(constB137)) | (~v104(constB137)))))) | (~v94(constB137)) | (~((~v95(constB137)) | (~v104(constB137))))),
% 15.56/10.72 inference(tautology,[status(thm)],[])).
% 15.56/10.72 tff(15469,plain,
% 15.56/10.72 (~v94(constB137)),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15468, 15467, 15450])).
% 15.56/10.72 tff(15470,plain,
% 15.56/10.72 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB137) | (~nextState(constB136, constB137)) | (~(((~v84(constB137, 1)) <=> v84(constB136, 1)) | ((~v84(constB137, 2)) <=> v84(constB136, 2)) | ((~v84(constB137, 0)) <=> v84(constB136, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB137) | (~nextState(constB136, constB137)) | (~(((~v84(constB137, 1)) <=> v84(constB136, 1)) | ((~v84(constB137, 2)) <=> v84(constB136, 2)) | ((~v84(constB137, 0)) <=> v84(constB136, 0)))))),
% 15.56/10.72 inference(rewrite,[status(thm)],[])).
% 15.56/10.72 tff(15471,plain,
% 15.56/10.72 ((v94(constB137) | (~nextState(constB136, constB137)) | (~(((~v84(constB137, 2)) <=> v84(constB136, 2)) | ((~v84(constB137, 1)) <=> v84(constB136, 1)) | ((~v84(constB137, 0)) <=> v84(constB136, 0))))) <=> (v94(constB137) | (~nextState(constB136, constB137)) | (~(((~v84(constB137, 1)) <=> v84(constB136, 1)) | ((~v84(constB137, 2)) <=> v84(constB136, 2)) | ((~v84(constB137, 0)) <=> v84(constB136, 0)))))),
% 15.56/10.72 inference(rewrite,[status(thm)],[])).
% 15.56/10.72 tff(15472,plain,
% 15.56/10.72 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB137) | (~nextState(constB136, constB137)) | (~(((~v84(constB137, 2)) <=> v84(constB136, 2)) | ((~v84(constB137, 1)) <=> v84(constB136, 1)) | ((~v84(constB137, 0)) <=> v84(constB136, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB137) | (~nextState(constB136, constB137)) | (~(((~v84(constB137, 1)) <=> v84(constB136, 1)) | ((~v84(constB137, 2)) <=> v84(constB136, 2)) | ((~v84(constB137, 0)) <=> v84(constB136, 0))))))),
% 15.56/10.72 inference(monotonicity,[status(thm)],[15471])).
% 15.56/10.72 tff(15473,plain,
% 15.56/10.72 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB137) | (~nextState(constB136, constB137)) | (~(((~v84(constB137, 2)) <=> v84(constB136, 2)) | ((~v84(constB137, 1)) <=> v84(constB136, 1)) | ((~v84(constB137, 0)) <=> v84(constB136, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB137) | (~nextState(constB136, constB137)) | (~(((~v84(constB137, 1)) <=> v84(constB136, 1)) | ((~v84(constB137, 2)) <=> v84(constB136, 2)) | ((~v84(constB137, 0)) <=> v84(constB136, 0)))))),
% 15.56/10.72 inference(transitivity,[status(thm)],[15472, 15470])).
% 15.56/10.72 tff(15474,plain,
% 15.56/10.72 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB137) | (~nextState(constB136, constB137)) | (~(((~v84(constB137, 2)) <=> v84(constB136, 2)) | ((~v84(constB137, 1)) <=> v84(constB136, 1)) | ((~v84(constB137, 0)) <=> v84(constB136, 0)))))),
% 15.56/10.72 inference(quant_inst,[status(thm)],[])).
% 15.56/10.72 tff(15475,plain,
% 15.56/10.72 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB137) | (~nextState(constB136, constB137)) | (~(((~v84(constB137, 1)) <=> v84(constB136, 1)) | ((~v84(constB137, 2)) <=> v84(constB136, 2)) | ((~v84(constB137, 0)) <=> v84(constB136, 0))))),
% 15.56/10.72 inference(modus_ponens,[status(thm)],[15474, 15473])).
% 15.56/10.72 tff(15476,plain,
% 15.56/10.72 (v94(constB137) | (~(((~v84(constB137, 1)) <=> v84(constB136, 1)) | ((~v84(constB137, 2)) <=> v84(constB136, 2)) | ((~v84(constB137, 0)) <=> v84(constB136, 0))))),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15475, 15446, 819])).
% 15.56/10.72 tff(15477,plain,
% 15.56/10.72 (~(((~v84(constB137, 1)) <=> v84(constB136, 1)) | ((~v84(constB137, 2)) <=> v84(constB136, 2)) | ((~v84(constB137, 0)) <=> v84(constB136, 0)))),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15476, 15469])).
% 15.56/10.72 tff(15478,plain,
% 15.56/10.72 ((((~v84(constB137, 1)) <=> v84(constB136, 1)) | ((~v84(constB137, 2)) <=> v84(constB136, 2)) | ((~v84(constB137, 0)) <=> v84(constB136, 0))) | (~((~v84(constB137, 2)) <=> v84(constB136, 2)))),
% 15.56/10.72 inference(tautology,[status(thm)],[])).
% 15.56/10.72 tff(15479,plain,
% 15.56/10.72 (~((~v84(constB137, 2)) <=> v84(constB136, 2))),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15478, 15477])).
% 15.56/10.72 tff(15480,plain,
% 15.56/10.72 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 15.56/10.72 inference(rewrite,[status(thm)],[])).
% 15.56/10.72 tff(15481,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_135')).
% 15.56/10.72 tff(15482,plain,
% 15.56/10.72 (nextState(constB135, constB136)),
% 15.56/10.72 inference(modus_ponens,[status(thm)],[15481, 15480])).
% 15.56/10.72 tff(15483,plain,
% 15.56/10.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB135, constB136)) | (~(((~v123(constB136, 2)) <=> v121(constB135, 2)) | ((~v123(constB136, 1)) <=> v121(constB135, 1)) | ((~v123(constB136, 0)) <=> v121(constB135, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB135, constB136)) | (~(((~v123(constB136, 2)) <=> v121(constB135, 2)) | ((~v123(constB136, 1)) <=> v121(constB135, 1)) | ((~v123(constB136, 0)) <=> v121(constB135, 0)))))),
% 15.56/10.72 inference(rewrite,[status(thm)],[])).
% 15.56/10.72 tff(15484,plain,
% 15.56/10.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB135, constB136)) | (~(((~v123(constB136, 2)) <=> v121(constB135, 2)) | ((~v123(constB136, 1)) <=> v121(constB135, 1)) | ((~v123(constB136, 0)) <=> v121(constB135, 0)))))),
% 15.56/10.72 inference(quant_inst,[status(thm)],[])).
% 15.56/10.72 tff(15485,plain,
% 15.56/10.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB135, constB136)) | (~(((~v123(constB136, 2)) <=> v121(constB135, 2)) | ((~v123(constB136, 1)) <=> v121(constB135, 1)) | ((~v123(constB136, 0)) <=> v121(constB135, 0))))),
% 15.56/10.72 inference(modus_ponens,[status(thm)],[15484, 15483])).
% 15.56/10.72 tff(15486,plain,
% 15.56/10.72 (~(((~v123(constB136, 2)) <=> v121(constB135, 2)) | ((~v123(constB136, 1)) <=> v121(constB135, 1)) | ((~v123(constB136, 0)) <=> v121(constB135, 0)))),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15485, 15482, 842])).
% 15.56/10.72 tff(15487,plain,
% 15.56/10.72 ((((~v123(constB136, 2)) <=> v121(constB135, 2)) | ((~v123(constB136, 1)) <=> v121(constB135, 1)) | ((~v123(constB136, 0)) <=> v121(constB135, 0))) | (~((~v123(constB136, 2)) <=> v121(constB135, 2)))),
% 15.56/10.72 inference(tautology,[status(thm)],[])).
% 15.56/10.72 tff(15488,plain,
% 15.56/10.72 (~((~v123(constB136, 2)) <=> v121(constB135, 2))),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15487, 15486])).
% 15.56/10.72 tff(15489,plain,
% 15.56/10.72 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB135) <=> v26(constB135))),
% 15.56/10.72 inference(quant_inst,[status(thm)],[])).
% 15.56/10.72 tff(15490,plain,
% 15.56/10.72 (v105(constB135) <=> v26(constB135)),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15489, 861])).
% 15.56/10.72 tff(15491,plain,
% 15.56/10.72 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB135))),
% 15.56/10.72 inference(quant_inst,[status(thm)],[])).
% 15.56/10.72 tff(15492,plain,
% 15.56/10.72 (~v26(constB135)),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15491, 873])).
% 15.56/10.72 tff(15493,plain,
% 15.56/10.72 ((~(v105(constB135) <=> v26(constB135))) | (~v105(constB135)) | v26(constB135)),
% 15.56/10.72 inference(tautology,[status(thm)],[])).
% 15.56/10.72 tff(15494,plain,
% 15.56/10.72 ((~(v105(constB135) <=> v26(constB135))) | (~v105(constB135))),
% 15.56/10.72 inference(unit_resolution,[status(thm)],[15493, 15492])).
% 15.56/10.73 tff(15495,plain,
% 15.56/10.73 (~v105(constB135)),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15494, 15490])).
% 15.56/10.73 tff(15496,plain,
% 15.56/10.73 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB135) | (~(((~v121(constB135, 2)) <=> v124(constB135, 2)) | ((~v121(constB135, 0)) <=> v124(constB135, 0)) | ((~v121(constB135, 1)) <=> v124(constB135, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB135) | (~(((~v121(constB135, 2)) <=> v124(constB135, 2)) | ((~v121(constB135, 0)) <=> v124(constB135, 0)) | ((~v121(constB135, 1)) <=> v124(constB135, 1)))))),
% 15.56/10.73 inference(rewrite,[status(thm)],[])).
% 15.56/10.73 tff(15497,plain,
% 15.56/10.73 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB135) | (~(((~v121(constB135, 2)) <=> v124(constB135, 2)) | ((~v121(constB135, 0)) <=> v124(constB135, 0)) | ((~v121(constB135, 1)) <=> v124(constB135, 1)))))),
% 15.56/10.73 inference(quant_inst,[status(thm)],[])).
% 15.56/10.73 tff(15498,plain,
% 15.56/10.73 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB135) | (~(((~v121(constB135, 2)) <=> v124(constB135, 2)) | ((~v121(constB135, 0)) <=> v124(constB135, 0)) | ((~v121(constB135, 1)) <=> v124(constB135, 1))))),
% 15.56/10.73 inference(modus_ponens,[status(thm)],[15497, 15496])).
% 15.56/10.73 tff(15499,plain,
% 15.56/10.73 (v105(constB135) | (~(((~v121(constB135, 2)) <=> v124(constB135, 2)) | ((~v121(constB135, 0)) <=> v124(constB135, 0)) | ((~v121(constB135, 1)) <=> v124(constB135, 1))))),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15498, 891])).
% 15.56/10.73 tff(15500,plain,
% 15.56/10.73 (~(((~v121(constB135, 2)) <=> v124(constB135, 2)) | ((~v121(constB135, 0)) <=> v124(constB135, 0)) | ((~v121(constB135, 1)) <=> v124(constB135, 1)))),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15499, 15495])).
% 15.56/10.73 tff(15501,plain,
% 15.56/10.73 ((((~v121(constB135, 2)) <=> v124(constB135, 2)) | ((~v121(constB135, 0)) <=> v124(constB135, 0)) | ((~v121(constB135, 1)) <=> v124(constB135, 1))) | (~((~v121(constB135, 2)) <=> v124(constB135, 2)))),
% 15.56/10.73 inference(tautology,[status(thm)],[])).
% 15.56/10.73 tff(15502,plain,
% 15.56/10.73 (~((~v121(constB135, 2)) <=> v124(constB135, 2))),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15501, 15500])).
% 15.56/10.73 tff(15503,plain,
% 15.56/10.73 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB135) <=> (~(v84(constB135, 1) | v84(constB135, 2) | (~v84(constB135, 0)))))),
% 15.56/10.73 inference(quant_inst,[status(thm)],[])).
% 15.56/10.73 tff(15504,plain,
% 15.56/10.73 (v114(constB135) <=> (~(v84(constB135, 1) | v84(constB135, 2) | (~v84(constB135, 0))))),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15503, 1064])).
% 15.56/10.73 tff(15505,plain,
% 15.56/10.73 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 15.56/10.73 inference(rewrite,[status(thm)],[])).
% 15.56/10.73 tff(15506,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_134')).
% 15.56/10.73 tff(15507,plain,
% 15.56/10.73 (nextState(constB134, constB135)),
% 15.56/10.73 inference(modus_ponens,[status(thm)],[15506, 15505])).
% 15.56/10.73 tff(15508,plain,
% 15.56/10.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB134, constB135)) | (v94(constB135) <=> (~((~v95(constB135)) | (~v104(constB135))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB134, constB135)) | (v94(constB135) <=> (~((~v95(constB135)) | (~v104(constB135))))))),
% 15.56/10.73 inference(rewrite,[status(thm)],[])).
% 15.56/10.73 tff(15509,plain,
% 15.56/10.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB134, constB135)) | (v94(constB135) <=> (~((~v95(constB135)) | (~v104(constB135))))))),
% 15.56/10.73 inference(quant_inst,[status(thm)],[])).
% 15.56/10.73 tff(15510,plain,
% 15.56/10.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB134, constB135)) | (v94(constB135) <=> (~((~v95(constB135)) | (~v104(constB135)))))),
% 15.56/10.73 inference(modus_ponens,[status(thm)],[15509, 15508])).
% 15.56/10.73 tff(15511,plain,
% 15.56/10.73 (v94(constB135) <=> (~((~v95(constB135)) | (~v104(constB135))))),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15510, 15507, 770])).
% 15.56/10.73 tff(15512,plain,
% 15.56/10.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135))))))),
% 15.56/10.73 inference(rewrite,[status(thm)],[])).
% 15.56/10.73 tff(15513,plain,
% 15.56/10.73 (((~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v96(constB135)) | (~v1(constB135)))))) <=> ((~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135))))))),
% 15.56/10.73 inference(rewrite,[status(thm)],[])).
% 15.56/10.73 tff(15514,plain,
% 15.56/10.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v96(constB135)) | (~v1(constB135))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135)))))))),
% 15.56/10.73 inference(monotonicity,[status(thm)],[15513])).
% 15.56/10.73 tff(15515,plain,
% 15.56/10.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v96(constB135)) | (~v1(constB135))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135))))))),
% 15.56/10.73 inference(transitivity,[status(thm)],[15514, 15512])).
% 15.56/10.73 tff(15516,plain,
% 15.56/10.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v96(constB135)) | (~v1(constB135))))))),
% 15.56/10.73 inference(quant_inst,[status(thm)],[])).
% 15.56/10.73 tff(15517,plain,
% 15.56/10.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135)))))),
% 15.56/10.73 inference(modus_ponens,[status(thm)],[15516, 15515])).
% 15.56/10.73 tff(15518,plain,
% 15.56/10.73 (v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135))))),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15517, 15507, 790])).
% 15.56/10.73 tff(15519,plain,
% 15.56/10.73 ((~v1(constB135)) <=> (~v1(constB135))),
% 15.56/10.73 inference(rewrite,[status(thm)],[])).
% 15.56/10.73 tff(15520,axiom,(~v1(constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_135')).
% 15.56/10.73 tff(15521,plain,
% 15.56/10.73 (~v1(constB135)),
% 15.56/10.73 inference(modus_ponens,[status(thm)],[15520, 15519])).
% 15.56/10.73 tff(15522,plain,
% 15.56/10.73 (((~v1(constB135)) | (~v96(constB135))) | v1(constB135)),
% 15.56/10.73 inference(tautology,[status(thm)],[])).
% 15.56/10.73 tff(15523,plain,
% 15.56/10.73 ((~v1(constB135)) | (~v96(constB135))),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15522, 15521])).
% 15.56/10.73 tff(15524,plain,
% 15.56/10.73 ((~(v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135)))))) | (~v95(constB135)) | (~((~v1(constB135)) | (~v96(constB135))))),
% 15.56/10.73 inference(tautology,[status(thm)],[])).
% 15.56/10.73 tff(15525,plain,
% 15.56/10.73 ((~(v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135)))))) | (~v95(constB135))),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15524, 15523])).
% 15.56/10.73 tff(15526,plain,
% 15.56/10.73 (~v95(constB135)),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15525, 15518])).
% 15.56/10.73 tff(15527,plain,
% 15.56/10.73 (((~v95(constB135)) | (~v104(constB135))) | v95(constB135)),
% 15.56/10.73 inference(tautology,[status(thm)],[])).
% 15.56/10.73 tff(15528,plain,
% 15.56/10.73 ((~v95(constB135)) | (~v104(constB135))),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15527, 15526])).
% 15.56/10.73 tff(15529,plain,
% 15.56/10.73 ((~(v94(constB135) <=> (~((~v95(constB135)) | (~v104(constB135)))))) | (~v94(constB135)) | (~((~v95(constB135)) | (~v104(constB135))))),
% 15.56/10.73 inference(tautology,[status(thm)],[])).
% 15.56/10.73 tff(15530,plain,
% 15.56/10.73 (~v94(constB135)),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15529, 15528, 15511])).
% 15.56/10.73 tff(15531,plain,
% 15.56/10.73 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB135) | (~nextState(constB134, constB135)) | (~(((~v84(constB135, 1)) <=> v84(constB134, 1)) | ((~v84(constB135, 2)) <=> v84(constB134, 2)) | ((~v84(constB135, 0)) <=> v84(constB134, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB135) | (~nextState(constB134, constB135)) | (~(((~v84(constB135, 1)) <=> v84(constB134, 1)) | ((~v84(constB135, 2)) <=> v84(constB134, 2)) | ((~v84(constB135, 0)) <=> v84(constB134, 0)))))),
% 15.56/10.73 inference(rewrite,[status(thm)],[])).
% 15.56/10.73 tff(15532,plain,
% 15.56/10.73 ((v94(constB135) | (~nextState(constB134, constB135)) | (~(((~v84(constB135, 2)) <=> v84(constB134, 2)) | ((~v84(constB135, 1)) <=> v84(constB134, 1)) | ((~v84(constB135, 0)) <=> v84(constB134, 0))))) <=> (v94(constB135) | (~nextState(constB134, constB135)) | (~(((~v84(constB135, 1)) <=> v84(constB134, 1)) | ((~v84(constB135, 2)) <=> v84(constB134, 2)) | ((~v84(constB135, 0)) <=> v84(constB134, 0)))))),
% 15.56/10.73 inference(rewrite,[status(thm)],[])).
% 15.56/10.73 tff(15533,plain,
% 15.56/10.73 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB135) | (~nextState(constB134, constB135)) | (~(((~v84(constB135, 2)) <=> v84(constB134, 2)) | ((~v84(constB135, 1)) <=> v84(constB134, 1)) | ((~v84(constB135, 0)) <=> v84(constB134, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB135) | (~nextState(constB134, constB135)) | (~(((~v84(constB135, 1)) <=> v84(constB134, 1)) | ((~v84(constB135, 2)) <=> v84(constB134, 2)) | ((~v84(constB135, 0)) <=> v84(constB134, 0))))))),
% 15.56/10.73 inference(monotonicity,[status(thm)],[15532])).
% 15.56/10.73 tff(15534,plain,
% 15.56/10.73 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB135) | (~nextState(constB134, constB135)) | (~(((~v84(constB135, 2)) <=> v84(constB134, 2)) | ((~v84(constB135, 1)) <=> v84(constB134, 1)) | ((~v84(constB135, 0)) <=> v84(constB134, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB135) | (~nextState(constB134, constB135)) | (~(((~v84(constB135, 1)) <=> v84(constB134, 1)) | ((~v84(constB135, 2)) <=> v84(constB134, 2)) | ((~v84(constB135, 0)) <=> v84(constB134, 0)))))),
% 15.56/10.73 inference(transitivity,[status(thm)],[15533, 15531])).
% 15.56/10.73 tff(15535,plain,
% 15.56/10.73 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB135) | (~nextState(constB134, constB135)) | (~(((~v84(constB135, 2)) <=> v84(constB134, 2)) | ((~v84(constB135, 1)) <=> v84(constB134, 1)) | ((~v84(constB135, 0)) <=> v84(constB134, 0)))))),
% 15.56/10.73 inference(quant_inst,[status(thm)],[])).
% 15.56/10.73 tff(15536,plain,
% 15.56/10.73 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB135) | (~nextState(constB134, constB135)) | (~(((~v84(constB135, 1)) <=> v84(constB134, 1)) | ((~v84(constB135, 2)) <=> v84(constB134, 2)) | ((~v84(constB135, 0)) <=> v84(constB134, 0))))),
% 15.56/10.73 inference(modus_ponens,[status(thm)],[15535, 15534])).
% 15.56/10.73 tff(15537,plain,
% 15.56/10.73 (v94(constB135) | (~(((~v84(constB135, 1)) <=> v84(constB134, 1)) | ((~v84(constB135, 2)) <=> v84(constB134, 2)) | ((~v84(constB135, 0)) <=> v84(constB134, 0))))),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15536, 15507, 819])).
% 15.56/10.73 tff(15538,plain,
% 15.56/10.73 (~(((~v84(constB135, 1)) <=> v84(constB134, 1)) | ((~v84(constB135, 2)) <=> v84(constB134, 2)) | ((~v84(constB135, 0)) <=> v84(constB134, 0)))),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15537, 15530])).
% 15.56/10.73 tff(15539,plain,
% 15.56/10.73 ((((~v84(constB135, 1)) <=> v84(constB134, 1)) | ((~v84(constB135, 2)) <=> v84(constB134, 2)) | ((~v84(constB135, 0)) <=> v84(constB134, 0))) | (~((~v84(constB135, 0)) <=> v84(constB134, 0)))),
% 15.56/10.73 inference(tautology,[status(thm)],[])).
% 15.56/10.73 tff(15540,plain,
% 15.56/10.73 (~((~v84(constB135, 0)) <=> v84(constB134, 0))),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15539, 15538])).
% 15.56/10.73 tff(15541,plain,
% 15.56/10.73 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 15.56/10.73 inference(rewrite,[status(thm)],[])).
% 15.56/10.73 tff(15542,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_133')).
% 15.56/10.73 tff(15543,plain,
% 15.56/10.73 (nextState(constB133, constB134)),
% 15.56/10.73 inference(modus_ponens,[status(thm)],[15542, 15541])).
% 15.56/10.73 tff(15544,plain,
% 15.56/10.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB133, constB134)) | (~(((~v123(constB134, 2)) <=> v121(constB133, 2)) | ((~v123(constB134, 1)) <=> v121(constB133, 1)) | ((~v123(constB134, 0)) <=> v121(constB133, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB133, constB134)) | (~(((~v123(constB134, 2)) <=> v121(constB133, 2)) | ((~v123(constB134, 1)) <=> v121(constB133, 1)) | ((~v123(constB134, 0)) <=> v121(constB133, 0)))))),
% 15.56/10.73 inference(rewrite,[status(thm)],[])).
% 15.56/10.73 tff(15545,plain,
% 15.56/10.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB133, constB134)) | (~(((~v123(constB134, 2)) <=> v121(constB133, 2)) | ((~v123(constB134, 1)) <=> v121(constB133, 1)) | ((~v123(constB134, 0)) <=> v121(constB133, 0)))))),
% 15.56/10.73 inference(quant_inst,[status(thm)],[])).
% 15.56/10.73 tff(15546,plain,
% 15.56/10.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB133, constB134)) | (~(((~v123(constB134, 2)) <=> v121(constB133, 2)) | ((~v123(constB134, 1)) <=> v121(constB133, 1)) | ((~v123(constB134, 0)) <=> v121(constB133, 0))))),
% 15.56/10.73 inference(modus_ponens,[status(thm)],[15545, 15544])).
% 15.56/10.73 tff(15547,plain,
% 15.56/10.73 (~(((~v123(constB134, 2)) <=> v121(constB133, 2)) | ((~v123(constB134, 1)) <=> v121(constB133, 1)) | ((~v123(constB134, 0)) <=> v121(constB133, 0)))),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15546, 15543, 842])).
% 15.56/10.73 tff(15548,plain,
% 15.56/10.73 ((((~v123(constB134, 2)) <=> v121(constB133, 2)) | ((~v123(constB134, 1)) <=> v121(constB133, 1)) | ((~v123(constB134, 0)) <=> v121(constB133, 0))) | (~((~v123(constB134, 0)) <=> v121(constB133, 0)))),
% 15.56/10.73 inference(tautology,[status(thm)],[])).
% 15.56/10.73 tff(15549,plain,
% 15.56/10.73 (~((~v123(constB134, 0)) <=> v121(constB133, 0))),
% 15.56/10.73 inference(unit_resolution,[status(thm)],[15548, 15547])).
% 15.56/10.73 tff(15550,plain,
% 15.56/10.73 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB133) <=> v26(constB133))),
% 15.56/10.74 inference(quant_inst,[status(thm)],[])).
% 15.56/10.74 tff(15551,plain,
% 15.56/10.74 (v105(constB133) <=> v26(constB133)),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15550, 861])).
% 15.56/10.74 tff(15552,plain,
% 15.56/10.74 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB133))),
% 15.56/10.74 inference(quant_inst,[status(thm)],[])).
% 15.56/10.74 tff(15553,plain,
% 15.56/10.74 (~v26(constB133)),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15552, 873])).
% 15.56/10.74 tff(15554,plain,
% 15.56/10.74 ((~(v105(constB133) <=> v26(constB133))) | (~v105(constB133)) | v26(constB133)),
% 15.56/10.74 inference(tautology,[status(thm)],[])).
% 15.56/10.74 tff(15555,plain,
% 15.56/10.74 ((~(v105(constB133) <=> v26(constB133))) | (~v105(constB133))),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15554, 15553])).
% 15.56/10.74 tff(15556,plain,
% 15.56/10.74 (~v105(constB133)),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15555, 15551])).
% 15.56/10.74 tff(15557,plain,
% 15.56/10.74 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB133) | (~(((~v121(constB133, 2)) <=> v124(constB133, 2)) | ((~v121(constB133, 0)) <=> v124(constB133, 0)) | ((~v121(constB133, 1)) <=> v124(constB133, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB133) | (~(((~v121(constB133, 2)) <=> v124(constB133, 2)) | ((~v121(constB133, 0)) <=> v124(constB133, 0)) | ((~v121(constB133, 1)) <=> v124(constB133, 1)))))),
% 15.56/10.74 inference(rewrite,[status(thm)],[])).
% 15.56/10.74 tff(15558,plain,
% 15.56/10.74 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB133) | (~(((~v121(constB133, 2)) <=> v124(constB133, 2)) | ((~v121(constB133, 0)) <=> v124(constB133, 0)) | ((~v121(constB133, 1)) <=> v124(constB133, 1)))))),
% 15.56/10.74 inference(quant_inst,[status(thm)],[])).
% 15.56/10.74 tff(15559,plain,
% 15.56/10.74 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB133) | (~(((~v121(constB133, 2)) <=> v124(constB133, 2)) | ((~v121(constB133, 0)) <=> v124(constB133, 0)) | ((~v121(constB133, 1)) <=> v124(constB133, 1))))),
% 15.56/10.74 inference(modus_ponens,[status(thm)],[15558, 15557])).
% 15.56/10.74 tff(15560,plain,
% 15.56/10.74 (v105(constB133) | (~(((~v121(constB133, 2)) <=> v124(constB133, 2)) | ((~v121(constB133, 0)) <=> v124(constB133, 0)) | ((~v121(constB133, 1)) <=> v124(constB133, 1))))),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15559, 891])).
% 15.56/10.74 tff(15561,plain,
% 15.56/10.74 (~(((~v121(constB133, 2)) <=> v124(constB133, 2)) | ((~v121(constB133, 0)) <=> v124(constB133, 0)) | ((~v121(constB133, 1)) <=> v124(constB133, 1)))),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15560, 15556])).
% 15.56/10.74 tff(15562,plain,
% 15.56/10.74 ((((~v121(constB133, 2)) <=> v124(constB133, 2)) | ((~v121(constB133, 0)) <=> v124(constB133, 0)) | ((~v121(constB133, 1)) <=> v124(constB133, 1))) | (~((~v121(constB133, 0)) <=> v124(constB133, 0)))),
% 15.56/10.74 inference(tautology,[status(thm)],[])).
% 15.56/10.74 tff(15563,plain,
% 15.56/10.74 (~((~v121(constB133, 0)) <=> v124(constB133, 0))),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15562, 15561])).
% 15.56/10.74 tff(15564,plain,
% 15.56/10.74 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB133) <=> (~(v84(constB133, 1) | v84(constB133, 0) | (~v84(constB133, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB133) <=> (~(v84(constB133, 1) | v84(constB133, 0) | (~v84(constB133, 2))))))),
% 15.56/10.74 inference(rewrite,[status(thm)],[])).
% 15.56/10.74 tff(15565,plain,
% 15.56/10.74 ((v117(constB133) <=> (~(v84(constB133, 0) | v84(constB133, 1) | (~v84(constB133, 2))))) <=> (v117(constB133) <=> (~(v84(constB133, 1) | v84(constB133, 0) | (~v84(constB133, 2)))))),
% 15.56/10.74 inference(rewrite,[status(thm)],[])).
% 15.56/10.74 tff(15566,plain,
% 15.56/10.74 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB133) <=> (~(v84(constB133, 0) | v84(constB133, 1) | (~v84(constB133, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB133) <=> (~(v84(constB133, 1) | v84(constB133, 0) | (~v84(constB133, 2))))))),
% 15.56/10.74 inference(monotonicity,[status(thm)],[15565])).
% 15.56/10.74 tff(15567,plain,
% 15.56/10.74 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB133) <=> (~(v84(constB133, 0) | v84(constB133, 1) | (~v84(constB133, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB133) <=> (~(v84(constB133, 1) | v84(constB133, 0) | (~v84(constB133, 2))))))),
% 15.56/10.74 inference(transitivity,[status(thm)],[15566, 15564])).
% 15.56/10.74 tff(15568,plain,
% 15.56/10.74 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB133) <=> (~(v84(constB133, 0) | v84(constB133, 1) | (~v84(constB133, 2)))))),
% 15.56/10.74 inference(quant_inst,[status(thm)],[])).
% 15.56/10.74 tff(15569,plain,
% 15.56/10.74 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB133) <=> (~(v84(constB133, 1) | v84(constB133, 0) | (~v84(constB133, 2)))))),
% 15.56/10.74 inference(modus_ponens,[status(thm)],[15568, 15567])).
% 15.56/10.74 tff(15570,plain,
% 15.56/10.74 (v117(constB133) <=> (~(v84(constB133, 1) | v84(constB133, 0) | (~v84(constB133, 2))))),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15569, 1199])).
% 15.56/10.74 tff(15571,plain,
% 15.56/10.74 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 15.56/10.74 inference(rewrite,[status(thm)],[])).
% 15.56/10.74 tff(15572,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_132')).
% 15.56/10.74 tff(15573,plain,
% 15.56/10.74 (nextState(constB132, constB133)),
% 15.56/10.74 inference(modus_ponens,[status(thm)],[15572, 15571])).
% 15.56/10.74 tff(15574,plain,
% 15.56/10.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB132, constB133)) | (v94(constB133) <=> (~((~v95(constB133)) | (~v104(constB133))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB132, constB133)) | (v94(constB133) <=> (~((~v95(constB133)) | (~v104(constB133))))))),
% 15.56/10.74 inference(rewrite,[status(thm)],[])).
% 15.56/10.74 tff(15575,plain,
% 15.56/10.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB132, constB133)) | (v94(constB133) <=> (~((~v95(constB133)) | (~v104(constB133))))))),
% 15.56/10.74 inference(quant_inst,[status(thm)],[])).
% 15.56/10.74 tff(15576,plain,
% 15.56/10.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB132, constB133)) | (v94(constB133) <=> (~((~v95(constB133)) | (~v104(constB133)))))),
% 15.56/10.74 inference(modus_ponens,[status(thm)],[15575, 15574])).
% 15.56/10.74 tff(15577,plain,
% 15.56/10.74 (v94(constB133) <=> (~((~v95(constB133)) | (~v104(constB133))))),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15576, 15573, 770])).
% 15.56/10.74 tff(15578,plain,
% 15.56/10.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133))))))),
% 15.56/10.74 inference(rewrite,[status(thm)],[])).
% 15.56/10.74 tff(15579,plain,
% 15.56/10.74 (((~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v96(constB133)) | (~v1(constB133)))))) <=> ((~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133))))))),
% 15.56/10.74 inference(rewrite,[status(thm)],[])).
% 15.56/10.74 tff(15580,plain,
% 15.56/10.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v96(constB133)) | (~v1(constB133))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133)))))))),
% 15.56/10.74 inference(monotonicity,[status(thm)],[15579])).
% 15.56/10.74 tff(15581,plain,
% 15.56/10.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v96(constB133)) | (~v1(constB133))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133))))))),
% 15.56/10.74 inference(transitivity,[status(thm)],[15580, 15578])).
% 15.56/10.74 tff(15582,plain,
% 15.56/10.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v96(constB133)) | (~v1(constB133))))))),
% 15.56/10.74 inference(quant_inst,[status(thm)],[])).
% 15.56/10.74 tff(15583,plain,
% 15.56/10.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133)))))),
% 15.56/10.74 inference(modus_ponens,[status(thm)],[15582, 15581])).
% 15.56/10.74 tff(15584,plain,
% 15.56/10.74 (v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133))))),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15583, 15573, 790])).
% 15.56/10.74 tff(15585,plain,
% 15.56/10.74 ((~v1(constB133)) <=> (~v1(constB133))),
% 15.56/10.74 inference(rewrite,[status(thm)],[])).
% 15.56/10.74 tff(15586,axiom,(~v1(constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_133')).
% 15.56/10.74 tff(15587,plain,
% 15.56/10.74 (~v1(constB133)),
% 15.56/10.74 inference(modus_ponens,[status(thm)],[15586, 15585])).
% 15.56/10.74 tff(15588,plain,
% 15.56/10.74 (((~v1(constB133)) | (~v96(constB133))) | v1(constB133)),
% 15.56/10.74 inference(tautology,[status(thm)],[])).
% 15.56/10.74 tff(15589,plain,
% 15.56/10.74 ((~v1(constB133)) | (~v96(constB133))),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15588, 15587])).
% 15.56/10.74 tff(15590,plain,
% 15.56/10.74 ((~(v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133)))))) | (~v95(constB133)) | (~((~v1(constB133)) | (~v96(constB133))))),
% 15.56/10.74 inference(tautology,[status(thm)],[])).
% 15.56/10.74 tff(15591,plain,
% 15.56/10.74 ((~(v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133)))))) | (~v95(constB133))),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15590, 15589])).
% 15.56/10.74 tff(15592,plain,
% 15.56/10.74 (~v95(constB133)),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15591, 15584])).
% 15.56/10.74 tff(15593,plain,
% 15.56/10.74 (((~v95(constB133)) | (~v104(constB133))) | v95(constB133)),
% 15.56/10.74 inference(tautology,[status(thm)],[])).
% 15.56/10.74 tff(15594,plain,
% 15.56/10.74 ((~v95(constB133)) | (~v104(constB133))),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15593, 15592])).
% 15.56/10.74 tff(15595,plain,
% 15.56/10.74 ((~(v94(constB133) <=> (~((~v95(constB133)) | (~v104(constB133)))))) | (~v94(constB133)) | (~((~v95(constB133)) | (~v104(constB133))))),
% 15.56/10.74 inference(tautology,[status(thm)],[])).
% 15.56/10.74 tff(15596,plain,
% 15.56/10.74 (~v94(constB133)),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15595, 15594, 15577])).
% 15.56/10.74 tff(15597,plain,
% 15.56/10.74 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB133) | (~nextState(constB132, constB133)) | (~(((~v84(constB133, 1)) <=> v84(constB132, 1)) | ((~v84(constB133, 2)) <=> v84(constB132, 2)) | ((~v84(constB133, 0)) <=> v84(constB132, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB133) | (~nextState(constB132, constB133)) | (~(((~v84(constB133, 1)) <=> v84(constB132, 1)) | ((~v84(constB133, 2)) <=> v84(constB132, 2)) | ((~v84(constB133, 0)) <=> v84(constB132, 0)))))),
% 15.56/10.74 inference(rewrite,[status(thm)],[])).
% 15.56/10.74 tff(15598,plain,
% 15.56/10.74 ((v94(constB133) | (~nextState(constB132, constB133)) | (~(((~v84(constB133, 2)) <=> v84(constB132, 2)) | ((~v84(constB133, 1)) <=> v84(constB132, 1)) | ((~v84(constB133, 0)) <=> v84(constB132, 0))))) <=> (v94(constB133) | (~nextState(constB132, constB133)) | (~(((~v84(constB133, 1)) <=> v84(constB132, 1)) | ((~v84(constB133, 2)) <=> v84(constB132, 2)) | ((~v84(constB133, 0)) <=> v84(constB132, 0)))))),
% 15.56/10.74 inference(rewrite,[status(thm)],[])).
% 15.56/10.74 tff(15599,plain,
% 15.56/10.74 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB133) | (~nextState(constB132, constB133)) | (~(((~v84(constB133, 2)) <=> v84(constB132, 2)) | ((~v84(constB133, 1)) <=> v84(constB132, 1)) | ((~v84(constB133, 0)) <=> v84(constB132, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB133) | (~nextState(constB132, constB133)) | (~(((~v84(constB133, 1)) <=> v84(constB132, 1)) | ((~v84(constB133, 2)) <=> v84(constB132, 2)) | ((~v84(constB133, 0)) <=> v84(constB132, 0))))))),
% 15.56/10.74 inference(monotonicity,[status(thm)],[15598])).
% 15.56/10.74 tff(15600,plain,
% 15.56/10.74 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB133) | (~nextState(constB132, constB133)) | (~(((~v84(constB133, 2)) <=> v84(constB132, 2)) | ((~v84(constB133, 1)) <=> v84(constB132, 1)) | ((~v84(constB133, 0)) <=> v84(constB132, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB133) | (~nextState(constB132, constB133)) | (~(((~v84(constB133, 1)) <=> v84(constB132, 1)) | ((~v84(constB133, 2)) <=> v84(constB132, 2)) | ((~v84(constB133, 0)) <=> v84(constB132, 0)))))),
% 15.56/10.74 inference(transitivity,[status(thm)],[15599, 15597])).
% 15.56/10.74 tff(15601,plain,
% 15.56/10.74 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB133) | (~nextState(constB132, constB133)) | (~(((~v84(constB133, 2)) <=> v84(constB132, 2)) | ((~v84(constB133, 1)) <=> v84(constB132, 1)) | ((~v84(constB133, 0)) <=> v84(constB132, 0)))))),
% 15.56/10.74 inference(quant_inst,[status(thm)],[])).
% 15.56/10.74 tff(15602,plain,
% 15.56/10.74 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB133) | (~nextState(constB132, constB133)) | (~(((~v84(constB133, 1)) <=> v84(constB132, 1)) | ((~v84(constB133, 2)) <=> v84(constB132, 2)) | ((~v84(constB133, 0)) <=> v84(constB132, 0))))),
% 15.56/10.74 inference(modus_ponens,[status(thm)],[15601, 15600])).
% 15.56/10.74 tff(15603,plain,
% 15.56/10.74 (v94(constB133) | (~(((~v84(constB133, 1)) <=> v84(constB132, 1)) | ((~v84(constB133, 2)) <=> v84(constB132, 2)) | ((~v84(constB133, 0)) <=> v84(constB132, 0))))),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15602, 15573, 819])).
% 15.56/10.74 tff(15604,plain,
% 15.56/10.74 (~(((~v84(constB133, 1)) <=> v84(constB132, 1)) | ((~v84(constB133, 2)) <=> v84(constB132, 2)) | ((~v84(constB133, 0)) <=> v84(constB132, 0)))),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15603, 15596])).
% 15.56/10.74 tff(15605,plain,
% 15.56/10.74 ((((~v84(constB133, 1)) <=> v84(constB132, 1)) | ((~v84(constB133, 2)) <=> v84(constB132, 2)) | ((~v84(constB133, 0)) <=> v84(constB132, 0))) | (~((~v84(constB133, 2)) <=> v84(constB132, 2)))),
% 15.56/10.74 inference(tautology,[status(thm)],[])).
% 15.56/10.74 tff(15606,plain,
% 15.56/10.74 (~((~v84(constB133, 2)) <=> v84(constB132, 2))),
% 15.56/10.74 inference(unit_resolution,[status(thm)],[15605, 15604])).
% 15.56/10.74 tff(15607,plain,
% 15.56/10.74 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 15.56/10.74 inference(rewrite,[status(thm)],[])).
% 15.56/10.74 tff(15608,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_131')).
% 15.56/10.74 tff(15609,plain,
% 15.56/10.74 (nextState(constB131, constB132)),
% 15.56/10.74 inference(modus_ponens,[status(thm)],[15608, 15607])).
% 15.56/10.74 tff(15610,plain,
% 15.56/10.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB131, constB132)) | (~(((~v123(constB132, 2)) <=> v121(constB131, 2)) | ((~v123(constB132, 1)) <=> v121(constB131, 1)) | ((~v123(constB132, 0)) <=> v121(constB131, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB131, constB132)) | (~(((~v123(constB132, 2)) <=> v121(constB131, 2)) | ((~v123(constB132, 1)) <=> v121(constB131, 1)) | ((~v123(constB132, 0)) <=> v121(constB131, 0)))))),
% 15.56/10.74 inference(rewrite,[status(thm)],[])).
% 15.56/10.74 tff(15611,plain,
% 15.56/10.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB131, constB132)) | (~(((~v123(constB132, 2)) <=> v121(constB131, 2)) | ((~v123(constB132, 1)) <=> v121(constB131, 1)) | ((~v123(constB132, 0)) <=> v121(constB131, 0)))))),
% 15.56/10.74 inference(quant_inst,[status(thm)],[])).
% 15.56/10.74 tff(15612,plain,
% 15.56/10.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB131, constB132)) | (~(((~v123(constB132, 2)) <=> v121(constB131, 2)) | ((~v123(constB132, 1)) <=> v121(constB131, 1)) | ((~v123(constB132, 0)) <=> v121(constB131, 0))))),
% 15.56/10.74 inference(modus_ponens,[status(thm)],[15611, 15610])).
% 15.56/10.74 tff(15613,plain,
% 15.56/10.74 (~(((~v123(constB132, 2)) <=> v121(constB131, 2)) | ((~v123(constB132, 1)) <=> v121(constB131, 1)) | ((~v123(constB132, 0)) <=> v121(constB131, 0)))),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15612, 15609, 842])).
% 15.56/10.75 tff(15614,plain,
% 15.56/10.75 ((((~v123(constB132, 2)) <=> v121(constB131, 2)) | ((~v123(constB132, 1)) <=> v121(constB131, 1)) | ((~v123(constB132, 0)) <=> v121(constB131, 0))) | (~((~v123(constB132, 2)) <=> v121(constB131, 2)))),
% 15.56/10.75 inference(tautology,[status(thm)],[])).
% 15.56/10.75 tff(15615,plain,
% 15.56/10.75 (~((~v123(constB132, 2)) <=> v121(constB131, 2))),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15614, 15613])).
% 15.56/10.75 tff(15616,plain,
% 15.56/10.75 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB131) <=> v26(constB131))),
% 15.56/10.75 inference(quant_inst,[status(thm)],[])).
% 15.56/10.75 tff(15617,plain,
% 15.56/10.75 (v105(constB131) <=> v26(constB131)),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15616, 861])).
% 15.56/10.75 tff(15618,plain,
% 15.56/10.75 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB131))),
% 15.56/10.75 inference(quant_inst,[status(thm)],[])).
% 15.56/10.75 tff(15619,plain,
% 15.56/10.75 (~v26(constB131)),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15618, 873])).
% 15.56/10.75 tff(15620,plain,
% 15.56/10.75 ((~(v105(constB131) <=> v26(constB131))) | (~v105(constB131)) | v26(constB131)),
% 15.56/10.75 inference(tautology,[status(thm)],[])).
% 15.56/10.75 tff(15621,plain,
% 15.56/10.75 ((~(v105(constB131) <=> v26(constB131))) | (~v105(constB131))),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15620, 15619])).
% 15.56/10.75 tff(15622,plain,
% 15.56/10.75 (~v105(constB131)),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15621, 15617])).
% 15.56/10.75 tff(15623,plain,
% 15.56/10.75 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB131) | (~(((~v121(constB131, 2)) <=> v124(constB131, 2)) | ((~v121(constB131, 0)) <=> v124(constB131, 0)) | ((~v121(constB131, 1)) <=> v124(constB131, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB131) | (~(((~v121(constB131, 2)) <=> v124(constB131, 2)) | ((~v121(constB131, 0)) <=> v124(constB131, 0)) | ((~v121(constB131, 1)) <=> v124(constB131, 1)))))),
% 15.56/10.75 inference(rewrite,[status(thm)],[])).
% 15.56/10.75 tff(15624,plain,
% 15.56/10.75 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB131) | (~(((~v121(constB131, 2)) <=> v124(constB131, 2)) | ((~v121(constB131, 0)) <=> v124(constB131, 0)) | ((~v121(constB131, 1)) <=> v124(constB131, 1)))))),
% 15.56/10.75 inference(quant_inst,[status(thm)],[])).
% 15.56/10.75 tff(15625,plain,
% 15.56/10.75 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB131) | (~(((~v121(constB131, 2)) <=> v124(constB131, 2)) | ((~v121(constB131, 0)) <=> v124(constB131, 0)) | ((~v121(constB131, 1)) <=> v124(constB131, 1))))),
% 15.56/10.75 inference(modus_ponens,[status(thm)],[15624, 15623])).
% 15.56/10.75 tff(15626,plain,
% 15.56/10.75 (v105(constB131) | (~(((~v121(constB131, 2)) <=> v124(constB131, 2)) | ((~v121(constB131, 0)) <=> v124(constB131, 0)) | ((~v121(constB131, 1)) <=> v124(constB131, 1))))),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15625, 891])).
% 15.56/10.75 tff(15627,plain,
% 15.56/10.75 (~(((~v121(constB131, 2)) <=> v124(constB131, 2)) | ((~v121(constB131, 0)) <=> v124(constB131, 0)) | ((~v121(constB131, 1)) <=> v124(constB131, 1)))),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15626, 15622])).
% 15.56/10.75 tff(15628,plain,
% 15.56/10.75 ((((~v121(constB131, 2)) <=> v124(constB131, 2)) | ((~v121(constB131, 0)) <=> v124(constB131, 0)) | ((~v121(constB131, 1)) <=> v124(constB131, 1))) | (~((~v121(constB131, 2)) <=> v124(constB131, 2)))),
% 15.56/10.75 inference(tautology,[status(thm)],[])).
% 15.56/10.75 tff(15629,plain,
% 15.56/10.75 (~((~v121(constB131, 2)) <=> v124(constB131, 2))),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15628, 15627])).
% 15.56/10.75 tff(15630,plain,
% 15.56/10.75 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB131) <=> (~(v84(constB131, 2) | (~v84(constB131, 1)) | (~v84(constB131, 0)))))),
% 15.56/10.75 inference(quant_inst,[status(thm)],[])).
% 15.56/10.75 tff(15631,plain,
% 15.56/10.75 (v116(constB131) <=> (~(v84(constB131, 2) | (~v84(constB131, 1)) | (~v84(constB131, 0))))),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15630, 911])).
% 15.56/10.75 tff(15632,plain,
% 15.56/10.75 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 15.56/10.75 inference(rewrite,[status(thm)],[])).
% 15.56/10.75 tff(15633,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_130')).
% 15.56/10.75 tff(15634,plain,
% 15.56/10.75 (nextState(constB130, constB131)),
% 15.56/10.75 inference(modus_ponens,[status(thm)],[15633, 15632])).
% 15.56/10.75 tff(15635,plain,
% 15.56/10.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB130, constB131)) | (v94(constB131) <=> (~((~v95(constB131)) | (~v104(constB131))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB130, constB131)) | (v94(constB131) <=> (~((~v95(constB131)) | (~v104(constB131))))))),
% 15.56/10.75 inference(rewrite,[status(thm)],[])).
% 15.56/10.75 tff(15636,plain,
% 15.56/10.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB130, constB131)) | (v94(constB131) <=> (~((~v95(constB131)) | (~v104(constB131))))))),
% 15.56/10.75 inference(quant_inst,[status(thm)],[])).
% 15.56/10.75 tff(15637,plain,
% 15.56/10.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB130, constB131)) | (v94(constB131) <=> (~((~v95(constB131)) | (~v104(constB131)))))),
% 15.56/10.75 inference(modus_ponens,[status(thm)],[15636, 15635])).
% 15.56/10.75 tff(15638,plain,
% 15.56/10.75 (v94(constB131) <=> (~((~v95(constB131)) | (~v104(constB131))))),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15637, 15634, 770])).
% 15.56/10.75 tff(15639,plain,
% 15.56/10.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131))))))),
% 15.56/10.75 inference(rewrite,[status(thm)],[])).
% 15.56/10.75 tff(15640,plain,
% 15.56/10.75 (((~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v96(constB131)) | (~v1(constB131)))))) <=> ((~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131))))))),
% 15.56/10.75 inference(rewrite,[status(thm)],[])).
% 15.56/10.75 tff(15641,plain,
% 15.56/10.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v96(constB131)) | (~v1(constB131))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131)))))))),
% 15.56/10.75 inference(monotonicity,[status(thm)],[15640])).
% 15.56/10.75 tff(15642,plain,
% 15.56/10.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v96(constB131)) | (~v1(constB131))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131))))))),
% 15.56/10.75 inference(transitivity,[status(thm)],[15641, 15639])).
% 15.56/10.75 tff(15643,plain,
% 15.56/10.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v96(constB131)) | (~v1(constB131))))))),
% 15.56/10.75 inference(quant_inst,[status(thm)],[])).
% 15.56/10.75 tff(15644,plain,
% 15.56/10.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131)))))),
% 15.56/10.75 inference(modus_ponens,[status(thm)],[15643, 15642])).
% 15.56/10.75 tff(15645,plain,
% 15.56/10.75 (v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131))))),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15644, 15634, 790])).
% 15.56/10.75 tff(15646,plain,
% 15.56/10.75 ((~v1(constB131)) <=> (~v1(constB131))),
% 15.56/10.75 inference(rewrite,[status(thm)],[])).
% 15.56/10.75 tff(15647,axiom,(~v1(constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_131')).
% 15.56/10.75 tff(15648,plain,
% 15.56/10.75 (~v1(constB131)),
% 15.56/10.75 inference(modus_ponens,[status(thm)],[15647, 15646])).
% 15.56/10.75 tff(15649,plain,
% 15.56/10.75 (((~v1(constB131)) | (~v96(constB131))) | v1(constB131)),
% 15.56/10.75 inference(tautology,[status(thm)],[])).
% 15.56/10.75 tff(15650,plain,
% 15.56/10.75 ((~v1(constB131)) | (~v96(constB131))),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15649, 15648])).
% 15.56/10.75 tff(15651,plain,
% 15.56/10.75 ((~(v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131)))))) | (~v95(constB131)) | (~((~v1(constB131)) | (~v96(constB131))))),
% 15.56/10.75 inference(tautology,[status(thm)],[])).
% 15.56/10.75 tff(15652,plain,
% 15.56/10.75 ((~(v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131)))))) | (~v95(constB131))),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15651, 15650])).
% 15.56/10.75 tff(15653,plain,
% 15.56/10.75 (~v95(constB131)),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15652, 15645])).
% 15.56/10.75 tff(15654,plain,
% 15.56/10.75 (((~v95(constB131)) | (~v104(constB131))) | v95(constB131)),
% 15.56/10.75 inference(tautology,[status(thm)],[])).
% 15.56/10.75 tff(15655,plain,
% 15.56/10.75 ((~v95(constB131)) | (~v104(constB131))),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15654, 15653])).
% 15.56/10.75 tff(15656,plain,
% 15.56/10.75 ((~(v94(constB131) <=> (~((~v95(constB131)) | (~v104(constB131)))))) | (~v94(constB131)) | (~((~v95(constB131)) | (~v104(constB131))))),
% 15.56/10.75 inference(tautology,[status(thm)],[])).
% 15.56/10.75 tff(15657,plain,
% 15.56/10.75 (~v94(constB131)),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15656, 15655, 15638])).
% 15.56/10.75 tff(15658,plain,
% 15.56/10.75 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB131) | (~nextState(constB130, constB131)) | (~(((~v84(constB131, 1)) <=> v84(constB130, 1)) | ((~v84(constB131, 2)) <=> v84(constB130, 2)) | ((~v84(constB131, 0)) <=> v84(constB130, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB131) | (~nextState(constB130, constB131)) | (~(((~v84(constB131, 1)) <=> v84(constB130, 1)) | ((~v84(constB131, 2)) <=> v84(constB130, 2)) | ((~v84(constB131, 0)) <=> v84(constB130, 0)))))),
% 15.56/10.75 inference(rewrite,[status(thm)],[])).
% 15.56/10.75 tff(15659,plain,
% 15.56/10.75 ((v94(constB131) | (~nextState(constB130, constB131)) | (~(((~v84(constB131, 2)) <=> v84(constB130, 2)) | ((~v84(constB131, 1)) <=> v84(constB130, 1)) | ((~v84(constB131, 0)) <=> v84(constB130, 0))))) <=> (v94(constB131) | (~nextState(constB130, constB131)) | (~(((~v84(constB131, 1)) <=> v84(constB130, 1)) | ((~v84(constB131, 2)) <=> v84(constB130, 2)) | ((~v84(constB131, 0)) <=> v84(constB130, 0)))))),
% 15.56/10.75 inference(rewrite,[status(thm)],[])).
% 15.56/10.75 tff(15660,plain,
% 15.56/10.75 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB131) | (~nextState(constB130, constB131)) | (~(((~v84(constB131, 2)) <=> v84(constB130, 2)) | ((~v84(constB131, 1)) <=> v84(constB130, 1)) | ((~v84(constB131, 0)) <=> v84(constB130, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB131) | (~nextState(constB130, constB131)) | (~(((~v84(constB131, 1)) <=> v84(constB130, 1)) | ((~v84(constB131, 2)) <=> v84(constB130, 2)) | ((~v84(constB131, 0)) <=> v84(constB130, 0))))))),
% 15.56/10.75 inference(monotonicity,[status(thm)],[15659])).
% 15.56/10.75 tff(15661,plain,
% 15.56/10.75 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB131) | (~nextState(constB130, constB131)) | (~(((~v84(constB131, 2)) <=> v84(constB130, 2)) | ((~v84(constB131, 1)) <=> v84(constB130, 1)) | ((~v84(constB131, 0)) <=> v84(constB130, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB131) | (~nextState(constB130, constB131)) | (~(((~v84(constB131, 1)) <=> v84(constB130, 1)) | ((~v84(constB131, 2)) <=> v84(constB130, 2)) | ((~v84(constB131, 0)) <=> v84(constB130, 0)))))),
% 15.56/10.75 inference(transitivity,[status(thm)],[15660, 15658])).
% 15.56/10.75 tff(15662,plain,
% 15.56/10.75 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB131) | (~nextState(constB130, constB131)) | (~(((~v84(constB131, 2)) <=> v84(constB130, 2)) | ((~v84(constB131, 1)) <=> v84(constB130, 1)) | ((~v84(constB131, 0)) <=> v84(constB130, 0)))))),
% 15.56/10.75 inference(quant_inst,[status(thm)],[])).
% 15.56/10.75 tff(15663,plain,
% 15.56/10.75 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB131) | (~nextState(constB130, constB131)) | (~(((~v84(constB131, 1)) <=> v84(constB130, 1)) | ((~v84(constB131, 2)) <=> v84(constB130, 2)) | ((~v84(constB131, 0)) <=> v84(constB130, 0))))),
% 15.56/10.75 inference(modus_ponens,[status(thm)],[15662, 15661])).
% 15.56/10.75 tff(15664,plain,
% 15.56/10.75 (v94(constB131) | (~(((~v84(constB131, 1)) <=> v84(constB130, 1)) | ((~v84(constB131, 2)) <=> v84(constB130, 2)) | ((~v84(constB131, 0)) <=> v84(constB130, 0))))),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15663, 15634, 819])).
% 15.56/10.75 tff(15665,plain,
% 15.56/10.75 (~(((~v84(constB131, 1)) <=> v84(constB130, 1)) | ((~v84(constB131, 2)) <=> v84(constB130, 2)) | ((~v84(constB131, 0)) <=> v84(constB130, 0)))),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15664, 15657])).
% 15.56/10.75 tff(15666,plain,
% 15.56/10.75 ((((~v84(constB131, 1)) <=> v84(constB130, 1)) | ((~v84(constB131, 2)) <=> v84(constB130, 2)) | ((~v84(constB131, 0)) <=> v84(constB130, 0))) | (~((~v84(constB131, 2)) <=> v84(constB130, 2)))),
% 15.56/10.75 inference(tautology,[status(thm)],[])).
% 15.56/10.75 tff(15667,plain,
% 15.56/10.75 (~((~v84(constB131, 2)) <=> v84(constB130, 2))),
% 15.56/10.75 inference(unit_resolution,[status(thm)],[15666, 15665])).
% 15.56/10.75 tff(15668,plain,
% 15.56/10.75 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 15.56/10.75 inference(rewrite,[status(thm)],[])).
% 15.56/10.75 tff(15669,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_129')).
% 15.56/10.75 tff(15670,plain,
% 15.56/10.75 (nextState(constB129, constB130)),
% 15.56/10.75 inference(modus_ponens,[status(thm)],[15669, 15668])).
% 15.56/10.75 tff(15671,plain,
% 15.56/10.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB129, constB130)) | (~(((~v123(constB130, 2)) <=> v121(constB129, 2)) | ((~v123(constB130, 1)) <=> v121(constB129, 1)) | ((~v123(constB130, 0)) <=> v121(constB129, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB129, constB130)) | (~(((~v123(constB130, 2)) <=> v121(constB129, 2)) | ((~v123(constB130, 1)) <=> v121(constB129, 1)) | ((~v123(constB130, 0)) <=> v121(constB129, 0)))))),
% 15.56/10.76 inference(rewrite,[status(thm)],[])).
% 15.56/10.76 tff(15672,plain,
% 15.56/10.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB129, constB130)) | (~(((~v123(constB130, 2)) <=> v121(constB129, 2)) | ((~v123(constB130, 1)) <=> v121(constB129, 1)) | ((~v123(constB130, 0)) <=> v121(constB129, 0)))))),
% 15.56/10.76 inference(quant_inst,[status(thm)],[])).
% 15.56/10.76 tff(15673,plain,
% 15.56/10.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB129, constB130)) | (~(((~v123(constB130, 2)) <=> v121(constB129, 2)) | ((~v123(constB130, 1)) <=> v121(constB129, 1)) | ((~v123(constB130, 0)) <=> v121(constB129, 0))))),
% 15.56/10.76 inference(modus_ponens,[status(thm)],[15672, 15671])).
% 15.56/10.76 tff(15674,plain,
% 15.56/10.76 (~(((~v123(constB130, 2)) <=> v121(constB129, 2)) | ((~v123(constB130, 1)) <=> v121(constB129, 1)) | ((~v123(constB130, 0)) <=> v121(constB129, 0)))),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15673, 15670, 842])).
% 15.56/10.76 tff(15675,plain,
% 15.56/10.76 ((((~v123(constB130, 2)) <=> v121(constB129, 2)) | ((~v123(constB130, 1)) <=> v121(constB129, 1)) | ((~v123(constB130, 0)) <=> v121(constB129, 0))) | (~((~v123(constB130, 2)) <=> v121(constB129, 2)))),
% 15.56/10.76 inference(tautology,[status(thm)],[])).
% 15.56/10.76 tff(15676,plain,
% 15.56/10.76 (~((~v123(constB130, 2)) <=> v121(constB129, 2))),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15675, 15674])).
% 15.56/10.76 tff(15677,plain,
% 15.56/10.76 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB129) <=> v26(constB129))),
% 15.56/10.76 inference(quant_inst,[status(thm)],[])).
% 15.56/10.76 tff(15678,plain,
% 15.56/10.76 (v105(constB129) <=> v26(constB129)),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15677, 861])).
% 15.56/10.76 tff(15679,plain,
% 15.56/10.76 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB129))),
% 15.56/10.76 inference(quant_inst,[status(thm)],[])).
% 15.56/10.76 tff(15680,plain,
% 15.56/10.76 (~v26(constB129)),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15679, 873])).
% 15.56/10.76 tff(15681,plain,
% 15.56/10.76 ((~(v105(constB129) <=> v26(constB129))) | (~v105(constB129)) | v26(constB129)),
% 15.56/10.76 inference(tautology,[status(thm)],[])).
% 15.56/10.76 tff(15682,plain,
% 15.56/10.76 ((~(v105(constB129) <=> v26(constB129))) | (~v105(constB129))),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15681, 15680])).
% 15.56/10.76 tff(15683,plain,
% 15.56/10.76 (~v105(constB129)),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15682, 15678])).
% 15.56/10.76 tff(15684,plain,
% 15.56/10.76 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB129) | (~(((~v121(constB129, 2)) <=> v124(constB129, 2)) | ((~v121(constB129, 0)) <=> v124(constB129, 0)) | ((~v121(constB129, 1)) <=> v124(constB129, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB129) | (~(((~v121(constB129, 2)) <=> v124(constB129, 2)) | ((~v121(constB129, 0)) <=> v124(constB129, 0)) | ((~v121(constB129, 1)) <=> v124(constB129, 1)))))),
% 15.56/10.76 inference(rewrite,[status(thm)],[])).
% 15.56/10.76 tff(15685,plain,
% 15.56/10.76 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB129) | (~(((~v121(constB129, 2)) <=> v124(constB129, 2)) | ((~v121(constB129, 0)) <=> v124(constB129, 0)) | ((~v121(constB129, 1)) <=> v124(constB129, 1)))))),
% 15.56/10.76 inference(quant_inst,[status(thm)],[])).
% 15.56/10.76 tff(15686,plain,
% 15.56/10.76 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB129) | (~(((~v121(constB129, 2)) <=> v124(constB129, 2)) | ((~v121(constB129, 0)) <=> v124(constB129, 0)) | ((~v121(constB129, 1)) <=> v124(constB129, 1))))),
% 15.56/10.76 inference(modus_ponens,[status(thm)],[15685, 15684])).
% 15.56/10.76 tff(15687,plain,
% 15.56/10.76 (v105(constB129) | (~(((~v121(constB129, 2)) <=> v124(constB129, 2)) | ((~v121(constB129, 0)) <=> v124(constB129, 0)) | ((~v121(constB129, 1)) <=> v124(constB129, 1))))),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15686, 891])).
% 15.56/10.76 tff(15688,plain,
% 15.56/10.76 (~(((~v121(constB129, 2)) <=> v124(constB129, 2)) | ((~v121(constB129, 0)) <=> v124(constB129, 0)) | ((~v121(constB129, 1)) <=> v124(constB129, 1)))),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15687, 15683])).
% 15.56/10.76 tff(15689,plain,
% 15.56/10.76 ((((~v121(constB129, 2)) <=> v124(constB129, 2)) | ((~v121(constB129, 0)) <=> v124(constB129, 0)) | ((~v121(constB129, 1)) <=> v124(constB129, 1))) | (~((~v121(constB129, 2)) <=> v124(constB129, 2)))),
% 15.56/10.76 inference(tautology,[status(thm)],[])).
% 15.56/10.76 tff(15690,plain,
% 15.56/10.76 (~((~v121(constB129, 2)) <=> v124(constB129, 2))),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15689, 15688])).
% 15.56/10.76 tff(15691,plain,
% 15.56/10.76 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB129) <=> (~(v84(constB129, 2) | v84(constB129, 0) | (~v84(constB129, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB129) <=> (~(v84(constB129, 2) | v84(constB129, 0) | (~v84(constB129, 1))))))),
% 15.56/10.76 inference(rewrite,[status(thm)],[])).
% 15.56/10.76 tff(15692,plain,
% 15.56/10.76 ((v115(constB129) <=> (~(v84(constB129, 0) | v84(constB129, 2) | (~v84(constB129, 1))))) <=> (v115(constB129) <=> (~(v84(constB129, 2) | v84(constB129, 0) | (~v84(constB129, 1)))))),
% 15.56/10.76 inference(rewrite,[status(thm)],[])).
% 15.56/10.76 tff(15693,plain,
% 15.56/10.76 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB129) <=> (~(v84(constB129, 0) | v84(constB129, 2) | (~v84(constB129, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB129) <=> (~(v84(constB129, 2) | v84(constB129, 0) | (~v84(constB129, 1))))))),
% 15.56/10.76 inference(monotonicity,[status(thm)],[15692])).
% 15.56/10.76 tff(15694,plain,
% 15.56/10.76 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB129) <=> (~(v84(constB129, 0) | v84(constB129, 2) | (~v84(constB129, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB129) <=> (~(v84(constB129, 2) | v84(constB129, 0) | (~v84(constB129, 1))))))),
% 15.56/10.76 inference(transitivity,[status(thm)],[15693, 15691])).
% 15.56/10.76 tff(15695,plain,
% 15.56/10.76 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB129) <=> (~(v84(constB129, 0) | v84(constB129, 2) | (~v84(constB129, 1)))))),
% 15.56/10.76 inference(quant_inst,[status(thm)],[])).
% 15.56/10.76 tff(15696,plain,
% 15.56/10.76 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB129) <=> (~(v84(constB129, 2) | v84(constB129, 0) | (~v84(constB129, 1)))))),
% 15.56/10.76 inference(modus_ponens,[status(thm)],[15695, 15694])).
% 15.56/10.76 tff(15697,plain,
% 15.56/10.76 (v115(constB129) <=> (~(v84(constB129, 2) | v84(constB129, 0) | (~v84(constB129, 1))))),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15696, 985])).
% 15.56/10.76 tff(15698,plain,
% 15.56/10.76 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 15.56/10.76 inference(rewrite,[status(thm)],[])).
% 15.56/10.76 tff(15699,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_128')).
% 15.56/10.76 tff(15700,plain,
% 15.56/10.76 (nextState(constB128, constB129)),
% 15.56/10.76 inference(modus_ponens,[status(thm)],[15699, 15698])).
% 15.56/10.76 tff(15701,plain,
% 15.56/10.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB128, constB129)) | (v94(constB129) <=> (~((~v95(constB129)) | (~v104(constB129))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB128, constB129)) | (v94(constB129) <=> (~((~v95(constB129)) | (~v104(constB129))))))),
% 15.56/10.76 inference(rewrite,[status(thm)],[])).
% 15.56/10.76 tff(15702,plain,
% 15.56/10.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB128, constB129)) | (v94(constB129) <=> (~((~v95(constB129)) | (~v104(constB129))))))),
% 15.56/10.76 inference(quant_inst,[status(thm)],[])).
% 15.56/10.76 tff(15703,plain,
% 15.56/10.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB128, constB129)) | (v94(constB129) <=> (~((~v95(constB129)) | (~v104(constB129)))))),
% 15.56/10.76 inference(modus_ponens,[status(thm)],[15702, 15701])).
% 15.56/10.76 tff(15704,plain,
% 15.56/10.76 (v94(constB129) <=> (~((~v95(constB129)) | (~v104(constB129))))),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15703, 15700, 770])).
% 15.56/10.76 tff(15705,plain,
% 15.56/10.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129))))))),
% 15.56/10.76 inference(rewrite,[status(thm)],[])).
% 15.56/10.76 tff(15706,plain,
% 15.56/10.76 (((~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v96(constB129)) | (~v1(constB129)))))) <=> ((~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129))))))),
% 15.56/10.76 inference(rewrite,[status(thm)],[])).
% 15.56/10.76 tff(15707,plain,
% 15.56/10.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v96(constB129)) | (~v1(constB129))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129)))))))),
% 15.56/10.76 inference(monotonicity,[status(thm)],[15706])).
% 15.56/10.76 tff(15708,plain,
% 15.56/10.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v96(constB129)) | (~v1(constB129))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129))))))),
% 15.56/10.76 inference(transitivity,[status(thm)],[15707, 15705])).
% 15.56/10.76 tff(15709,plain,
% 15.56/10.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v96(constB129)) | (~v1(constB129))))))),
% 15.56/10.76 inference(quant_inst,[status(thm)],[])).
% 15.56/10.76 tff(15710,plain,
% 15.56/10.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129)))))),
% 15.56/10.76 inference(modus_ponens,[status(thm)],[15709, 15708])).
% 15.56/10.76 tff(15711,plain,
% 15.56/10.76 (v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129))))),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15710, 15700, 790])).
% 15.56/10.76 tff(15712,plain,
% 15.56/10.76 ((~v1(constB129)) <=> (~v1(constB129))),
% 15.56/10.76 inference(rewrite,[status(thm)],[])).
% 15.56/10.76 tff(15713,axiom,(~v1(constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_129')).
% 15.56/10.76 tff(15714,plain,
% 15.56/10.76 (~v1(constB129)),
% 15.56/10.76 inference(modus_ponens,[status(thm)],[15713, 15712])).
% 15.56/10.76 tff(15715,plain,
% 15.56/10.76 (((~v1(constB129)) | (~v96(constB129))) | v1(constB129)),
% 15.56/10.76 inference(tautology,[status(thm)],[])).
% 15.56/10.76 tff(15716,plain,
% 15.56/10.76 ((~v1(constB129)) | (~v96(constB129))),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15715, 15714])).
% 15.56/10.76 tff(15717,plain,
% 15.56/10.76 ((~(v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129)))))) | (~v95(constB129)) | (~((~v1(constB129)) | (~v96(constB129))))),
% 15.56/10.76 inference(tautology,[status(thm)],[])).
% 15.56/10.76 tff(15718,plain,
% 15.56/10.76 ((~(v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129)))))) | (~v95(constB129))),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15717, 15716])).
% 15.56/10.76 tff(15719,plain,
% 15.56/10.76 (~v95(constB129)),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15718, 15711])).
% 15.56/10.76 tff(15720,plain,
% 15.56/10.76 (((~v95(constB129)) | (~v104(constB129))) | v95(constB129)),
% 15.56/10.76 inference(tautology,[status(thm)],[])).
% 15.56/10.76 tff(15721,plain,
% 15.56/10.76 ((~v95(constB129)) | (~v104(constB129))),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15720, 15719])).
% 15.56/10.76 tff(15722,plain,
% 15.56/10.76 ((~(v94(constB129) <=> (~((~v95(constB129)) | (~v104(constB129)))))) | (~v94(constB129)) | (~((~v95(constB129)) | (~v104(constB129))))),
% 15.56/10.76 inference(tautology,[status(thm)],[])).
% 15.56/10.76 tff(15723,plain,
% 15.56/10.76 (~v94(constB129)),
% 15.56/10.76 inference(unit_resolution,[status(thm)],[15722, 15721, 15704])).
% 15.56/10.76 tff(15724,plain,
% 15.56/10.76 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB129) | (~nextState(constB128, constB129)) | (~(((~v84(constB129, 1)) <=> v84(constB128, 1)) | ((~v84(constB129, 2)) <=> v84(constB128, 2)) | ((~v84(constB129, 0)) <=> v84(constB128, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB129) | (~nextState(constB128, constB129)) | (~(((~v84(constB129, 1)) <=> v84(constB128, 1)) | ((~v84(constB129, 2)) <=> v84(constB128, 2)) | ((~v84(constB129, 0)) <=> v84(constB128, 0)))))),
% 15.56/10.76 inference(rewrite,[status(thm)],[])).
% 15.56/10.76 tff(15725,plain,
% 15.56/10.76 ((v94(constB129) | (~nextState(constB128, constB129)) | (~(((~v84(constB129, 2)) <=> v84(constB128, 2)) | ((~v84(constB129, 1)) <=> v84(constB128, 1)) | ((~v84(constB129, 0)) <=> v84(constB128, 0))))) <=> (v94(constB129) | (~nextState(constB128, constB129)) | (~(((~v84(constB129, 1)) <=> v84(constB128, 1)) | ((~v84(constB129, 2)) <=> v84(constB128, 2)) | ((~v84(constB129, 0)) <=> v84(constB128, 0)))))),
% 15.56/10.76 inference(rewrite,[status(thm)],[])).
% 15.56/10.76 tff(15726,plain,
% 15.56/10.76 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB129) | (~nextState(constB128, constB129)) | (~(((~v84(constB129, 2)) <=> v84(constB128, 2)) | ((~v84(constB129, 1)) <=> v84(constB128, 1)) | ((~v84(constB129, 0)) <=> v84(constB128, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB129) | (~nextState(constB128, constB129)) | (~(((~v84(constB129, 1)) <=> v84(constB128, 1)) | ((~v84(constB129, 2)) <=> v84(constB128, 2)) | ((~v84(constB129, 0)) <=> v84(constB128, 0))))))),
% 15.56/10.77 inference(monotonicity,[status(thm)],[15725])).
% 15.56/10.77 tff(15727,plain,
% 15.56/10.77 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB129) | (~nextState(constB128, constB129)) | (~(((~v84(constB129, 2)) <=> v84(constB128, 2)) | ((~v84(constB129, 1)) <=> v84(constB128, 1)) | ((~v84(constB129, 0)) <=> v84(constB128, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB129) | (~nextState(constB128, constB129)) | (~(((~v84(constB129, 1)) <=> v84(constB128, 1)) | ((~v84(constB129, 2)) <=> v84(constB128, 2)) | ((~v84(constB129, 0)) <=> v84(constB128, 0)))))),
% 15.56/10.77 inference(transitivity,[status(thm)],[15726, 15724])).
% 15.56/10.77 tff(15728,plain,
% 15.56/10.77 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB129) | (~nextState(constB128, constB129)) | (~(((~v84(constB129, 2)) <=> v84(constB128, 2)) | ((~v84(constB129, 1)) <=> v84(constB128, 1)) | ((~v84(constB129, 0)) <=> v84(constB128, 0)))))),
% 15.56/10.77 inference(quant_inst,[status(thm)],[])).
% 15.56/10.77 tff(15729,plain,
% 15.56/10.77 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB129) | (~nextState(constB128, constB129)) | (~(((~v84(constB129, 1)) <=> v84(constB128, 1)) | ((~v84(constB129, 2)) <=> v84(constB128, 2)) | ((~v84(constB129, 0)) <=> v84(constB128, 0))))),
% 15.56/10.77 inference(modus_ponens,[status(thm)],[15728, 15727])).
% 15.56/10.77 tff(15730,plain,
% 15.56/10.77 (v94(constB129) | (~(((~v84(constB129, 1)) <=> v84(constB128, 1)) | ((~v84(constB129, 2)) <=> v84(constB128, 2)) | ((~v84(constB129, 0)) <=> v84(constB128, 0))))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15729, 15700, 819])).
% 15.56/10.77 tff(15731,plain,
% 15.56/10.77 (~(((~v84(constB129, 1)) <=> v84(constB128, 1)) | ((~v84(constB129, 2)) <=> v84(constB128, 2)) | ((~v84(constB129, 0)) <=> v84(constB128, 0)))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15730, 15723])).
% 15.56/10.77 tff(15732,plain,
% 15.56/10.77 ((((~v84(constB129, 1)) <=> v84(constB128, 1)) | ((~v84(constB129, 2)) <=> v84(constB128, 2)) | ((~v84(constB129, 0)) <=> v84(constB128, 0))) | (~((~v84(constB129, 2)) <=> v84(constB128, 2)))),
% 15.56/10.77 inference(tautology,[status(thm)],[])).
% 15.56/10.77 tff(15733,plain,
% 15.56/10.77 (~((~v84(constB129, 2)) <=> v84(constB128, 2))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15732, 15731])).
% 15.56/10.77 tff(15734,plain,
% 15.56/10.77 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 15.56/10.77 inference(rewrite,[status(thm)],[])).
% 15.56/10.77 tff(15735,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_127')).
% 15.56/10.77 tff(15736,plain,
% 15.56/10.77 (nextState(constB127, constB128)),
% 15.56/10.77 inference(modus_ponens,[status(thm)],[15735, 15734])).
% 15.56/10.77 tff(15737,plain,
% 15.56/10.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB127, constB128)) | (~(((~v123(constB128, 2)) <=> v121(constB127, 2)) | ((~v123(constB128, 1)) <=> v121(constB127, 1)) | ((~v123(constB128, 0)) <=> v121(constB127, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB127, constB128)) | (~(((~v123(constB128, 2)) <=> v121(constB127, 2)) | ((~v123(constB128, 1)) <=> v121(constB127, 1)) | ((~v123(constB128, 0)) <=> v121(constB127, 0)))))),
% 15.56/10.77 inference(rewrite,[status(thm)],[])).
% 15.56/10.77 tff(15738,plain,
% 15.56/10.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB127, constB128)) | (~(((~v123(constB128, 2)) <=> v121(constB127, 2)) | ((~v123(constB128, 1)) <=> v121(constB127, 1)) | ((~v123(constB128, 0)) <=> v121(constB127, 0)))))),
% 15.56/10.77 inference(quant_inst,[status(thm)],[])).
% 15.56/10.77 tff(15739,plain,
% 15.56/10.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB127, constB128)) | (~(((~v123(constB128, 2)) <=> v121(constB127, 2)) | ((~v123(constB128, 1)) <=> v121(constB127, 1)) | ((~v123(constB128, 0)) <=> v121(constB127, 0))))),
% 15.56/10.77 inference(modus_ponens,[status(thm)],[15738, 15737])).
% 15.56/10.77 tff(15740,plain,
% 15.56/10.77 (~(((~v123(constB128, 2)) <=> v121(constB127, 2)) | ((~v123(constB128, 1)) <=> v121(constB127, 1)) | ((~v123(constB128, 0)) <=> v121(constB127, 0)))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15739, 15736, 842])).
% 15.56/10.77 tff(15741,plain,
% 15.56/10.77 ((((~v123(constB128, 2)) <=> v121(constB127, 2)) | ((~v123(constB128, 1)) <=> v121(constB127, 1)) | ((~v123(constB128, 0)) <=> v121(constB127, 0))) | (~((~v123(constB128, 2)) <=> v121(constB127, 2)))),
% 15.56/10.77 inference(tautology,[status(thm)],[])).
% 15.56/10.77 tff(15742,plain,
% 15.56/10.77 (~((~v123(constB128, 2)) <=> v121(constB127, 2))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15741, 15740])).
% 15.56/10.77 tff(15743,plain,
% 15.56/10.77 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB127) <=> v26(constB127))),
% 15.56/10.77 inference(quant_inst,[status(thm)],[])).
% 15.56/10.77 tff(15744,plain,
% 15.56/10.77 (v105(constB127) <=> v26(constB127)),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15743, 861])).
% 15.56/10.77 tff(15745,plain,
% 15.56/10.77 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB127))),
% 15.56/10.77 inference(quant_inst,[status(thm)],[])).
% 15.56/10.77 tff(15746,plain,
% 15.56/10.77 (~v26(constB127)),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15745, 873])).
% 15.56/10.77 tff(15747,plain,
% 15.56/10.77 ((~(v105(constB127) <=> v26(constB127))) | (~v105(constB127)) | v26(constB127)),
% 15.56/10.77 inference(tautology,[status(thm)],[])).
% 15.56/10.77 tff(15748,plain,
% 15.56/10.77 ((~(v105(constB127) <=> v26(constB127))) | (~v105(constB127))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15747, 15746])).
% 15.56/10.77 tff(15749,plain,
% 15.56/10.77 (~v105(constB127)),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15748, 15744])).
% 15.56/10.77 tff(15750,plain,
% 15.56/10.77 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB127) | (~(((~v121(constB127, 2)) <=> v124(constB127, 2)) | ((~v121(constB127, 0)) <=> v124(constB127, 0)) | ((~v121(constB127, 1)) <=> v124(constB127, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB127) | (~(((~v121(constB127, 2)) <=> v124(constB127, 2)) | ((~v121(constB127, 0)) <=> v124(constB127, 0)) | ((~v121(constB127, 1)) <=> v124(constB127, 1)))))),
% 15.56/10.77 inference(rewrite,[status(thm)],[])).
% 15.56/10.77 tff(15751,plain,
% 15.56/10.77 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB127) | (~(((~v121(constB127, 2)) <=> v124(constB127, 2)) | ((~v121(constB127, 0)) <=> v124(constB127, 0)) | ((~v121(constB127, 1)) <=> v124(constB127, 1)))))),
% 15.56/10.77 inference(quant_inst,[status(thm)],[])).
% 15.56/10.77 tff(15752,plain,
% 15.56/10.77 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB127) | (~(((~v121(constB127, 2)) <=> v124(constB127, 2)) | ((~v121(constB127, 0)) <=> v124(constB127, 0)) | ((~v121(constB127, 1)) <=> v124(constB127, 1))))),
% 15.56/10.77 inference(modus_ponens,[status(thm)],[15751, 15750])).
% 15.56/10.77 tff(15753,plain,
% 15.56/10.77 (v105(constB127) | (~(((~v121(constB127, 2)) <=> v124(constB127, 2)) | ((~v121(constB127, 0)) <=> v124(constB127, 0)) | ((~v121(constB127, 1)) <=> v124(constB127, 1))))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15752, 891])).
% 15.56/10.77 tff(15754,plain,
% 15.56/10.77 (~(((~v121(constB127, 2)) <=> v124(constB127, 2)) | ((~v121(constB127, 0)) <=> v124(constB127, 0)) | ((~v121(constB127, 1)) <=> v124(constB127, 1)))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15753, 15749])).
% 15.56/10.77 tff(15755,plain,
% 15.56/10.77 ((((~v121(constB127, 2)) <=> v124(constB127, 2)) | ((~v121(constB127, 0)) <=> v124(constB127, 0)) | ((~v121(constB127, 1)) <=> v124(constB127, 1))) | (~((~v121(constB127, 2)) <=> v124(constB127, 2)))),
% 15.56/10.77 inference(tautology,[status(thm)],[])).
% 15.56/10.77 tff(15756,plain,
% 15.56/10.77 (~((~v121(constB127, 2)) <=> v124(constB127, 2))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15755, 15754])).
% 15.56/10.77 tff(15757,plain,
% 15.56/10.77 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB127) <=> (~(v84(constB127, 1) | v84(constB127, 2) | (~v84(constB127, 0)))))),
% 15.56/10.77 inference(quant_inst,[status(thm)],[])).
% 15.56/10.77 tff(15758,plain,
% 15.56/10.77 (v114(constB127) <=> (~(v84(constB127, 1) | v84(constB127, 2) | (~v84(constB127, 0))))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15757, 1064])).
% 15.56/10.77 tff(15759,plain,
% 15.56/10.77 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 15.56/10.77 inference(rewrite,[status(thm)],[])).
% 15.56/10.77 tff(15760,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_126')).
% 15.56/10.77 tff(15761,plain,
% 15.56/10.77 (nextState(constB126, constB127)),
% 15.56/10.77 inference(modus_ponens,[status(thm)],[15760, 15759])).
% 15.56/10.77 tff(15762,plain,
% 15.56/10.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB126, constB127)) | (v94(constB127) <=> (~((~v95(constB127)) | (~v104(constB127))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB126, constB127)) | (v94(constB127) <=> (~((~v95(constB127)) | (~v104(constB127))))))),
% 15.56/10.77 inference(rewrite,[status(thm)],[])).
% 15.56/10.77 tff(15763,plain,
% 15.56/10.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB126, constB127)) | (v94(constB127) <=> (~((~v95(constB127)) | (~v104(constB127))))))),
% 15.56/10.77 inference(quant_inst,[status(thm)],[])).
% 15.56/10.77 tff(15764,plain,
% 15.56/10.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB126, constB127)) | (v94(constB127) <=> (~((~v95(constB127)) | (~v104(constB127)))))),
% 15.56/10.77 inference(modus_ponens,[status(thm)],[15763, 15762])).
% 15.56/10.77 tff(15765,plain,
% 15.56/10.77 (v94(constB127) <=> (~((~v95(constB127)) | (~v104(constB127))))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15764, 15761, 770])).
% 15.56/10.77 tff(15766,plain,
% 15.56/10.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127))))))),
% 15.56/10.77 inference(rewrite,[status(thm)],[])).
% 15.56/10.77 tff(15767,plain,
% 15.56/10.77 (((~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v96(constB127)) | (~v1(constB127)))))) <=> ((~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127))))))),
% 15.56/10.77 inference(rewrite,[status(thm)],[])).
% 15.56/10.77 tff(15768,plain,
% 15.56/10.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v96(constB127)) | (~v1(constB127))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127)))))))),
% 15.56/10.77 inference(monotonicity,[status(thm)],[15767])).
% 15.56/10.77 tff(15769,plain,
% 15.56/10.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v96(constB127)) | (~v1(constB127))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127))))))),
% 15.56/10.77 inference(transitivity,[status(thm)],[15768, 15766])).
% 15.56/10.77 tff(15770,plain,
% 15.56/10.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v96(constB127)) | (~v1(constB127))))))),
% 15.56/10.77 inference(quant_inst,[status(thm)],[])).
% 15.56/10.77 tff(15771,plain,
% 15.56/10.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127)))))),
% 15.56/10.77 inference(modus_ponens,[status(thm)],[15770, 15769])).
% 15.56/10.77 tff(15772,plain,
% 15.56/10.77 (v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127))))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15771, 15761, 790])).
% 15.56/10.77 tff(15773,plain,
% 15.56/10.77 ((~v1(constB127)) <=> (~v1(constB127))),
% 15.56/10.77 inference(rewrite,[status(thm)],[])).
% 15.56/10.77 tff(15774,axiom,(~v1(constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_127')).
% 15.56/10.77 tff(15775,plain,
% 15.56/10.77 (~v1(constB127)),
% 15.56/10.77 inference(modus_ponens,[status(thm)],[15774, 15773])).
% 15.56/10.77 tff(15776,plain,
% 15.56/10.77 (((~v1(constB127)) | (~v96(constB127))) | v1(constB127)),
% 15.56/10.77 inference(tautology,[status(thm)],[])).
% 15.56/10.77 tff(15777,plain,
% 15.56/10.77 ((~v1(constB127)) | (~v96(constB127))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15776, 15775])).
% 15.56/10.77 tff(15778,plain,
% 15.56/10.77 ((~(v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127)))))) | (~v95(constB127)) | (~((~v1(constB127)) | (~v96(constB127))))),
% 15.56/10.77 inference(tautology,[status(thm)],[])).
% 15.56/10.77 tff(15779,plain,
% 15.56/10.77 ((~(v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127)))))) | (~v95(constB127))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15778, 15777])).
% 15.56/10.77 tff(15780,plain,
% 15.56/10.77 (~v95(constB127)),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15779, 15772])).
% 15.56/10.77 tff(15781,plain,
% 15.56/10.77 (((~v95(constB127)) | (~v104(constB127))) | v95(constB127)),
% 15.56/10.77 inference(tautology,[status(thm)],[])).
% 15.56/10.77 tff(15782,plain,
% 15.56/10.77 ((~v95(constB127)) | (~v104(constB127))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15781, 15780])).
% 15.56/10.77 tff(15783,plain,
% 15.56/10.77 ((~(v94(constB127) <=> (~((~v95(constB127)) | (~v104(constB127)))))) | (~v94(constB127)) | (~((~v95(constB127)) | (~v104(constB127))))),
% 15.56/10.77 inference(tautology,[status(thm)],[])).
% 15.56/10.77 tff(15784,plain,
% 15.56/10.77 (~v94(constB127)),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15783, 15782, 15765])).
% 15.56/10.77 tff(15785,plain,
% 15.56/10.77 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB127) | (~nextState(constB126, constB127)) | (~(((~v84(constB127, 1)) <=> v84(constB126, 1)) | ((~v84(constB127, 2)) <=> v84(constB126, 2)) | ((~v84(constB127, 0)) <=> v84(constB126, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB127) | (~nextState(constB126, constB127)) | (~(((~v84(constB127, 1)) <=> v84(constB126, 1)) | ((~v84(constB127, 2)) <=> v84(constB126, 2)) | ((~v84(constB127, 0)) <=> v84(constB126, 0)))))),
% 15.56/10.77 inference(rewrite,[status(thm)],[])).
% 15.56/10.77 tff(15786,plain,
% 15.56/10.77 ((v94(constB127) | (~nextState(constB126, constB127)) | (~(((~v84(constB127, 2)) <=> v84(constB126, 2)) | ((~v84(constB127, 1)) <=> v84(constB126, 1)) | ((~v84(constB127, 0)) <=> v84(constB126, 0))))) <=> (v94(constB127) | (~nextState(constB126, constB127)) | (~(((~v84(constB127, 1)) <=> v84(constB126, 1)) | ((~v84(constB127, 2)) <=> v84(constB126, 2)) | ((~v84(constB127, 0)) <=> v84(constB126, 0)))))),
% 15.56/10.77 inference(rewrite,[status(thm)],[])).
% 15.56/10.77 tff(15787,plain,
% 15.56/10.77 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB127) | (~nextState(constB126, constB127)) | (~(((~v84(constB127, 2)) <=> v84(constB126, 2)) | ((~v84(constB127, 1)) <=> v84(constB126, 1)) | ((~v84(constB127, 0)) <=> v84(constB126, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB127) | (~nextState(constB126, constB127)) | (~(((~v84(constB127, 1)) <=> v84(constB126, 1)) | ((~v84(constB127, 2)) <=> v84(constB126, 2)) | ((~v84(constB127, 0)) <=> v84(constB126, 0))))))),
% 15.56/10.77 inference(monotonicity,[status(thm)],[15786])).
% 15.56/10.77 tff(15788,plain,
% 15.56/10.77 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB127) | (~nextState(constB126, constB127)) | (~(((~v84(constB127, 2)) <=> v84(constB126, 2)) | ((~v84(constB127, 1)) <=> v84(constB126, 1)) | ((~v84(constB127, 0)) <=> v84(constB126, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB127) | (~nextState(constB126, constB127)) | (~(((~v84(constB127, 1)) <=> v84(constB126, 1)) | ((~v84(constB127, 2)) <=> v84(constB126, 2)) | ((~v84(constB127, 0)) <=> v84(constB126, 0)))))),
% 15.56/10.77 inference(transitivity,[status(thm)],[15787, 15785])).
% 15.56/10.77 tff(15789,plain,
% 15.56/10.77 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB127) | (~nextState(constB126, constB127)) | (~(((~v84(constB127, 2)) <=> v84(constB126, 2)) | ((~v84(constB127, 1)) <=> v84(constB126, 1)) | ((~v84(constB127, 0)) <=> v84(constB126, 0)))))),
% 15.56/10.77 inference(quant_inst,[status(thm)],[])).
% 15.56/10.77 tff(15790,plain,
% 15.56/10.77 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB127) | (~nextState(constB126, constB127)) | (~(((~v84(constB127, 1)) <=> v84(constB126, 1)) | ((~v84(constB127, 2)) <=> v84(constB126, 2)) | ((~v84(constB127, 0)) <=> v84(constB126, 0))))),
% 15.56/10.77 inference(modus_ponens,[status(thm)],[15789, 15788])).
% 15.56/10.77 tff(15791,plain,
% 15.56/10.77 (v94(constB127) | (~(((~v84(constB127, 1)) <=> v84(constB126, 1)) | ((~v84(constB127, 2)) <=> v84(constB126, 2)) | ((~v84(constB127, 0)) <=> v84(constB126, 0))))),
% 15.56/10.77 inference(unit_resolution,[status(thm)],[15790, 15761, 819])).
% 15.56/10.78 tff(15792,plain,
% 15.56/10.78 (~(((~v84(constB127, 1)) <=> v84(constB126, 1)) | ((~v84(constB127, 2)) <=> v84(constB126, 2)) | ((~v84(constB127, 0)) <=> v84(constB126, 0)))),
% 15.56/10.78 inference(unit_resolution,[status(thm)],[15791, 15784])).
% 15.56/10.78 tff(15793,plain,
% 15.56/10.78 ((((~v84(constB127, 1)) <=> v84(constB126, 1)) | ((~v84(constB127, 2)) <=> v84(constB126, 2)) | ((~v84(constB127, 0)) <=> v84(constB126, 0))) | (~((~v84(constB127, 2)) <=> v84(constB126, 2)))),
% 15.56/10.78 inference(tautology,[status(thm)],[])).
% 15.56/10.78 tff(15794,plain,
% 15.56/10.78 (~((~v84(constB127, 2)) <=> v84(constB126, 2))),
% 15.56/10.78 inference(unit_resolution,[status(thm)],[15793, 15792])).
% 15.56/10.78 tff(15795,plain,
% 15.56/10.78 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 15.56/10.78 inference(rewrite,[status(thm)],[])).
% 15.56/10.78 tff(15796,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_125')).
% 15.56/10.78 tff(15797,plain,
% 15.56/10.78 (nextState(constB125, constB126)),
% 15.56/10.78 inference(modus_ponens,[status(thm)],[15796, 15795])).
% 15.56/10.78 tff(15798,plain,
% 15.56/10.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB125, constB126)) | (~(((~v123(constB126, 2)) <=> v121(constB125, 2)) | ((~v123(constB126, 1)) <=> v121(constB125, 1)) | ((~v123(constB126, 0)) <=> v121(constB125, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB125, constB126)) | (~(((~v123(constB126, 2)) <=> v121(constB125, 2)) | ((~v123(constB126, 1)) <=> v121(constB125, 1)) | ((~v123(constB126, 0)) <=> v121(constB125, 0)))))),
% 15.56/10.78 inference(rewrite,[status(thm)],[])).
% 15.56/10.78 tff(15799,plain,
% 15.56/10.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB125, constB126)) | (~(((~v123(constB126, 2)) <=> v121(constB125, 2)) | ((~v123(constB126, 1)) <=> v121(constB125, 1)) | ((~v123(constB126, 0)) <=> v121(constB125, 0)))))),
% 15.56/10.78 inference(quant_inst,[status(thm)],[])).
% 15.56/10.78 tff(15800,plain,
% 15.56/10.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB125, constB126)) | (~(((~v123(constB126, 2)) <=> v121(constB125, 2)) | ((~v123(constB126, 1)) <=> v121(constB125, 1)) | ((~v123(constB126, 0)) <=> v121(constB125, 0))))),
% 15.56/10.78 inference(modus_ponens,[status(thm)],[15799, 15798])).
% 15.56/10.78 tff(15801,plain,
% 15.56/10.78 (~(((~v123(constB126, 2)) <=> v121(constB125, 2)) | ((~v123(constB126, 1)) <=> v121(constB125, 1)) | ((~v123(constB126, 0)) <=> v121(constB125, 0)))),
% 15.56/10.78 inference(unit_resolution,[status(thm)],[15800, 15797, 842])).
% 15.56/10.78 tff(15802,plain,
% 15.56/10.78 ((((~v123(constB126, 2)) <=> v121(constB125, 2)) | ((~v123(constB126, 1)) <=> v121(constB125, 1)) | ((~v123(constB126, 0)) <=> v121(constB125, 0))) | (~((~v123(constB126, 2)) <=> v121(constB125, 2)))),
% 15.56/10.78 inference(tautology,[status(thm)],[])).
% 15.56/10.78 tff(15803,plain,
% 15.56/10.78 (~((~v123(constB126, 2)) <=> v121(constB125, 2))),
% 15.56/10.78 inference(unit_resolution,[status(thm)],[15802, 15801])).
% 15.56/10.78 tff(15804,plain,
% 15.56/10.78 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB125) <=> v26(constB125))),
% 15.56/10.78 inference(quant_inst,[status(thm)],[])).
% 15.56/10.78 tff(15805,plain,
% 15.56/10.78 (v105(constB125) <=> v26(constB125)),
% 15.56/10.78 inference(unit_resolution,[status(thm)],[15804, 861])).
% 15.56/10.78 tff(15806,plain,
% 15.56/10.78 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB125))),
% 15.56/10.78 inference(quant_inst,[status(thm)],[])).
% 15.56/10.78 tff(15807,plain,
% 15.56/10.78 (~v26(constB125)),
% 15.56/10.78 inference(unit_resolution,[status(thm)],[15806, 873])).
% 15.56/10.78 tff(15808,plain,
% 15.56/10.78 ((~(v105(constB125) <=> v26(constB125))) | (~v105(constB125)) | v26(constB125)),
% 15.56/10.78 inference(tautology,[status(thm)],[])).
% 15.56/10.78 tff(15809,plain,
% 15.56/10.78 ((~(v105(constB125) <=> v26(constB125))) | (~v105(constB125))),
% 15.56/10.78 inference(unit_resolution,[status(thm)],[15808, 15807])).
% 15.56/10.78 tff(15810,plain,
% 15.56/10.78 (~v105(constB125)),
% 15.56/10.78 inference(unit_resolution,[status(thm)],[15809, 15805])).
% 15.56/10.78 tff(15811,plain,
% 15.56/10.78 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB125) | (~(((~v121(constB125, 2)) <=> v124(constB125, 2)) | ((~v121(constB125, 0)) <=> v124(constB125, 0)) | ((~v121(constB125, 1)) <=> v124(constB125, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB125) | (~(((~v121(constB125, 2)) <=> v124(constB125, 2)) | ((~v121(constB125, 0)) <=> v124(constB125, 0)) | ((~v121(constB125, 1)) <=> v124(constB125, 1)))))),
% 15.56/10.78 inference(rewrite,[status(thm)],[])).
% 15.56/10.78 tff(15812,plain,
% 15.56/10.78 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB125) | (~(((~v121(constB125, 2)) <=> v124(constB125, 2)) | ((~v121(constB125, 0)) <=> v124(constB125, 0)) | ((~v121(constB125, 1)) <=> v124(constB125, 1)))))),
% 15.56/10.78 inference(quant_inst,[status(thm)],[])).
% 15.56/10.78 tff(15813,plain,
% 15.56/10.78 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB125) | (~(((~v121(constB125, 2)) <=> v124(constB125, 2)) | ((~v121(constB125, 0)) <=> v124(constB125, 0)) | ((~v121(constB125, 1)) <=> v124(constB125, 1))))),
% 15.56/10.78 inference(modus_ponens,[status(thm)],[15812, 15811])).
% 15.56/10.78 tff(15814,plain,
% 15.56/10.78 (v105(constB125) | (~(((~v121(constB125, 2)) <=> v124(constB125, 2)) | ((~v121(constB125, 0)) <=> v124(constB125, 0)) | ((~v121(constB125, 1)) <=> v124(constB125, 1))))),
% 15.56/10.78 inference(unit_resolution,[status(thm)],[15813, 891])).
% 15.56/10.78 tff(15815,plain,
% 15.56/10.78 (~(((~v121(constB125, 2)) <=> v124(constB125, 2)) | ((~v121(constB125, 0)) <=> v124(constB125, 0)) | ((~v121(constB125, 1)) <=> v124(constB125, 1)))),
% 15.56/10.78 inference(unit_resolution,[status(thm)],[15814, 15810])).
% 15.56/10.78 tff(15816,plain,
% 15.56/10.78 ((((~v121(constB125, 2)) <=> v124(constB125, 2)) | ((~v121(constB125, 0)) <=> v124(constB125, 0)) | ((~v121(constB125, 1)) <=> v124(constB125, 1))) | (~((~v121(constB125, 2)) <=> v124(constB125, 2)))),
% 15.56/10.78 inference(tautology,[status(thm)],[])).
% 15.56/10.78 tff(15817,plain,
% 15.56/10.78 (~((~v121(constB125, 2)) <=> v124(constB125, 2))),
% 15.56/10.78 inference(unit_resolution,[status(thm)],[15816, 15815])).
% 15.56/10.78 tff(15818,plain,
% 15.56/10.78 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB125) <=> (~(v84(constB125, 0) | v84(constB125, 1) | v84(constB125, 2))))),
% 15.56/10.78 inference(quant_inst,[status(thm)],[])).
% 15.56/10.78 tff(15819,plain,
% 15.56/10.78 (v113(constB125) <=> (~(v84(constB125, 0) | v84(constB125, 1) | v84(constB125, 2)))),
% 15.56/10.78 inference(unit_resolution,[status(thm)],[15818, 1466])).
% 15.56/10.78 tff(15820,plain,
% 15.56/10.78 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 15.56/10.78 inference(rewrite,[status(thm)],[])).
% 15.56/10.78 tff(15821,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_124')).
% 15.56/10.78 tff(15822,plain,
% 15.56/10.78 (nextState(constB124, constB125)),
% 15.56/10.78 inference(modus_ponens,[status(thm)],[15821, 15820])).
% 15.56/10.78 tff(15823,plain,
% 15.56/10.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB124, constB125)) | (v94(constB125) <=> (~((~v95(constB125)) | (~v104(constB125))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB124, constB125)) | (v94(constB125) <=> (~((~v95(constB125)) | (~v104(constB125))))))),
% 15.65/10.78 inference(rewrite,[status(thm)],[])).
% 15.65/10.78 tff(15824,plain,
% 15.65/10.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB124, constB125)) | (v94(constB125) <=> (~((~v95(constB125)) | (~v104(constB125))))))),
% 15.65/10.78 inference(quant_inst,[status(thm)],[])).
% 15.65/10.78 tff(15825,plain,
% 15.65/10.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB124, constB125)) | (v94(constB125) <=> (~((~v95(constB125)) | (~v104(constB125)))))),
% 15.65/10.78 inference(modus_ponens,[status(thm)],[15824, 15823])).
% 15.65/10.78 tff(15826,plain,
% 15.65/10.78 (v94(constB125) <=> (~((~v95(constB125)) | (~v104(constB125))))),
% 15.65/10.78 inference(unit_resolution,[status(thm)],[15825, 15822, 770])).
% 15.65/10.78 tff(15827,plain,
% 15.65/10.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125))))))),
% 15.65/10.78 inference(rewrite,[status(thm)],[])).
% 15.65/10.78 tff(15828,plain,
% 15.65/10.78 (((~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v96(constB125)) | (~v1(constB125)))))) <=> ((~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125))))))),
% 15.65/10.78 inference(rewrite,[status(thm)],[])).
% 15.65/10.78 tff(15829,plain,
% 15.65/10.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v96(constB125)) | (~v1(constB125))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125)))))))),
% 15.65/10.78 inference(monotonicity,[status(thm)],[15828])).
% 15.65/10.78 tff(15830,plain,
% 15.65/10.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v96(constB125)) | (~v1(constB125))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125))))))),
% 15.65/10.78 inference(transitivity,[status(thm)],[15829, 15827])).
% 15.65/10.78 tff(15831,plain,
% 15.65/10.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v96(constB125)) | (~v1(constB125))))))),
% 15.65/10.78 inference(quant_inst,[status(thm)],[])).
% 15.65/10.78 tff(15832,plain,
% 15.65/10.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125)))))),
% 15.65/10.78 inference(modus_ponens,[status(thm)],[15831, 15830])).
% 15.65/10.78 tff(15833,plain,
% 15.65/10.78 (v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125))))),
% 15.65/10.78 inference(unit_resolution,[status(thm)],[15832, 15822, 790])).
% 15.65/10.78 tff(15834,plain,
% 15.65/10.78 ((~v1(constB125)) <=> (~v1(constB125))),
% 15.65/10.78 inference(rewrite,[status(thm)],[])).
% 15.65/10.78 tff(15835,axiom,(~v1(constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_125')).
% 15.65/10.78 tff(15836,plain,
% 15.65/10.78 (~v1(constB125)),
% 15.65/10.78 inference(modus_ponens,[status(thm)],[15835, 15834])).
% 15.65/10.78 tff(15837,plain,
% 15.65/10.78 (((~v1(constB125)) | (~v96(constB125))) | v1(constB125)),
% 15.65/10.78 inference(tautology,[status(thm)],[])).
% 15.65/10.78 tff(15838,plain,
% 15.65/10.78 ((~v1(constB125)) | (~v96(constB125))),
% 15.65/10.78 inference(unit_resolution,[status(thm)],[15837, 15836])).
% 15.65/10.78 tff(15839,plain,
% 15.65/10.78 ((~(v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125)))))) | (~v95(constB125)) | (~((~v1(constB125)) | (~v96(constB125))))),
% 15.65/10.78 inference(tautology,[status(thm)],[])).
% 15.65/10.78 tff(15840,plain,
% 15.65/10.78 ((~(v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125)))))) | (~v95(constB125))),
% 15.65/10.78 inference(unit_resolution,[status(thm)],[15839, 15838])).
% 15.65/10.78 tff(15841,plain,
% 15.65/10.78 (~v95(constB125)),
% 15.65/10.78 inference(unit_resolution,[status(thm)],[15840, 15833])).
% 15.65/10.78 tff(15842,plain,
% 15.65/10.78 (((~v95(constB125)) | (~v104(constB125))) | v95(constB125)),
% 15.65/10.78 inference(tautology,[status(thm)],[])).
% 15.65/10.78 tff(15843,plain,
% 15.65/10.78 ((~v95(constB125)) | (~v104(constB125))),
% 15.65/10.78 inference(unit_resolution,[status(thm)],[15842, 15841])).
% 15.65/10.78 tff(15844,plain,
% 15.65/10.78 ((~(v94(constB125) <=> (~((~v95(constB125)) | (~v104(constB125)))))) | (~v94(constB125)) | (~((~v95(constB125)) | (~v104(constB125))))),
% 15.65/10.78 inference(tautology,[status(thm)],[])).
% 15.65/10.78 tff(15845,plain,
% 15.65/10.78 (~v94(constB125)),
% 15.65/10.78 inference(unit_resolution,[status(thm)],[15844, 15843, 15826])).
% 15.65/10.78 tff(15846,plain,
% 15.65/10.78 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB125) | (~nextState(constB124, constB125)) | (~(((~v84(constB125, 1)) <=> v84(constB124, 1)) | ((~v84(constB125, 2)) <=> v84(constB124, 2)) | ((~v84(constB125, 0)) <=> v84(constB124, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB125) | (~nextState(constB124, constB125)) | (~(((~v84(constB125, 1)) <=> v84(constB124, 1)) | ((~v84(constB125, 2)) <=> v84(constB124, 2)) | ((~v84(constB125, 0)) <=> v84(constB124, 0)))))),
% 15.65/10.78 inference(rewrite,[status(thm)],[])).
% 15.65/10.78 tff(15847,plain,
% 15.65/10.78 ((v94(constB125) | (~nextState(constB124, constB125)) | (~(((~v84(constB125, 2)) <=> v84(constB124, 2)) | ((~v84(constB125, 1)) <=> v84(constB124, 1)) | ((~v84(constB125, 0)) <=> v84(constB124, 0))))) <=> (v94(constB125) | (~nextState(constB124, constB125)) | (~(((~v84(constB125, 1)) <=> v84(constB124, 1)) | ((~v84(constB125, 2)) <=> v84(constB124, 2)) | ((~v84(constB125, 0)) <=> v84(constB124, 0)))))),
% 15.65/10.78 inference(rewrite,[status(thm)],[])).
% 15.65/10.78 tff(15848,plain,
% 15.65/10.78 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB125) | (~nextState(constB124, constB125)) | (~(((~v84(constB125, 2)) <=> v84(constB124, 2)) | ((~v84(constB125, 1)) <=> v84(constB124, 1)) | ((~v84(constB125, 0)) <=> v84(constB124, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB125) | (~nextState(constB124, constB125)) | (~(((~v84(constB125, 1)) <=> v84(constB124, 1)) | ((~v84(constB125, 2)) <=> v84(constB124, 2)) | ((~v84(constB125, 0)) <=> v84(constB124, 0))))))),
% 15.65/10.78 inference(monotonicity,[status(thm)],[15847])).
% 15.65/10.78 tff(15849,plain,
% 15.65/10.78 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB125) | (~nextState(constB124, constB125)) | (~(((~v84(constB125, 2)) <=> v84(constB124, 2)) | ((~v84(constB125, 1)) <=> v84(constB124, 1)) | ((~v84(constB125, 0)) <=> v84(constB124, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB125) | (~nextState(constB124, constB125)) | (~(((~v84(constB125, 1)) <=> v84(constB124, 1)) | ((~v84(constB125, 2)) <=> v84(constB124, 2)) | ((~v84(constB125, 0)) <=> v84(constB124, 0)))))),
% 15.65/10.79 inference(transitivity,[status(thm)],[15848, 15846])).
% 15.65/10.79 tff(15850,plain,
% 15.65/10.79 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB125) | (~nextState(constB124, constB125)) | (~(((~v84(constB125, 2)) <=> v84(constB124, 2)) | ((~v84(constB125, 1)) <=> v84(constB124, 1)) | ((~v84(constB125, 0)) <=> v84(constB124, 0)))))),
% 15.65/10.79 inference(quant_inst,[status(thm)],[])).
% 15.65/10.79 tff(15851,plain,
% 15.65/10.79 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB125) | (~nextState(constB124, constB125)) | (~(((~v84(constB125, 1)) <=> v84(constB124, 1)) | ((~v84(constB125, 2)) <=> v84(constB124, 2)) | ((~v84(constB125, 0)) <=> v84(constB124, 0))))),
% 15.65/10.79 inference(modus_ponens,[status(thm)],[15850, 15849])).
% 15.65/10.79 tff(15852,plain,
% 15.65/10.79 (v94(constB125) | (~(((~v84(constB125, 1)) <=> v84(constB124, 1)) | ((~v84(constB125, 2)) <=> v84(constB124, 2)) | ((~v84(constB125, 0)) <=> v84(constB124, 0))))),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15851, 15822, 819])).
% 15.65/10.79 tff(15853,plain,
% 15.65/10.79 (~(((~v84(constB125, 1)) <=> v84(constB124, 1)) | ((~v84(constB125, 2)) <=> v84(constB124, 2)) | ((~v84(constB125, 0)) <=> v84(constB124, 0)))),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15852, 15845])).
% 15.65/10.79 tff(15854,plain,
% 15.65/10.79 ((((~v84(constB125, 1)) <=> v84(constB124, 1)) | ((~v84(constB125, 2)) <=> v84(constB124, 2)) | ((~v84(constB125, 0)) <=> v84(constB124, 0))) | (~((~v84(constB125, 2)) <=> v84(constB124, 2)))),
% 15.65/10.79 inference(tautology,[status(thm)],[])).
% 15.65/10.79 tff(15855,plain,
% 15.65/10.79 (~((~v84(constB125, 2)) <=> v84(constB124, 2))),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15854, 15853])).
% 15.65/10.79 tff(15856,plain,
% 15.65/10.79 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 15.65/10.79 inference(rewrite,[status(thm)],[])).
% 15.65/10.79 tff(15857,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_123')).
% 15.65/10.79 tff(15858,plain,
% 15.65/10.79 (nextState(constB123, constB124)),
% 15.65/10.79 inference(modus_ponens,[status(thm)],[15857, 15856])).
% 15.65/10.79 tff(15859,plain,
% 15.65/10.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB123, constB124)) | (~(((~v123(constB124, 2)) <=> v121(constB123, 2)) | ((~v123(constB124, 1)) <=> v121(constB123, 1)) | ((~v123(constB124, 0)) <=> v121(constB123, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB123, constB124)) | (~(((~v123(constB124, 2)) <=> v121(constB123, 2)) | ((~v123(constB124, 1)) <=> v121(constB123, 1)) | ((~v123(constB124, 0)) <=> v121(constB123, 0)))))),
% 15.65/10.79 inference(rewrite,[status(thm)],[])).
% 15.65/10.79 tff(15860,plain,
% 15.65/10.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB123, constB124)) | (~(((~v123(constB124, 2)) <=> v121(constB123, 2)) | ((~v123(constB124, 1)) <=> v121(constB123, 1)) | ((~v123(constB124, 0)) <=> v121(constB123, 0)))))),
% 15.65/10.79 inference(quant_inst,[status(thm)],[])).
% 15.65/10.79 tff(15861,plain,
% 15.65/10.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB123, constB124)) | (~(((~v123(constB124, 2)) <=> v121(constB123, 2)) | ((~v123(constB124, 1)) <=> v121(constB123, 1)) | ((~v123(constB124, 0)) <=> v121(constB123, 0))))),
% 15.65/10.79 inference(modus_ponens,[status(thm)],[15860, 15859])).
% 15.65/10.79 tff(15862,plain,
% 15.65/10.79 (~(((~v123(constB124, 2)) <=> v121(constB123, 2)) | ((~v123(constB124, 1)) <=> v121(constB123, 1)) | ((~v123(constB124, 0)) <=> v121(constB123, 0)))),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15861, 15858, 842])).
% 15.65/10.79 tff(15863,plain,
% 15.65/10.79 ((((~v123(constB124, 2)) <=> v121(constB123, 2)) | ((~v123(constB124, 1)) <=> v121(constB123, 1)) | ((~v123(constB124, 0)) <=> v121(constB123, 0))) | (~((~v123(constB124, 2)) <=> v121(constB123, 2)))),
% 15.65/10.79 inference(tautology,[status(thm)],[])).
% 15.65/10.79 tff(15864,plain,
% 15.65/10.79 (~((~v123(constB124, 2)) <=> v121(constB123, 2))),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15863, 15862])).
% 15.65/10.79 tff(15865,plain,
% 15.65/10.79 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB123) <=> v26(constB123))),
% 15.65/10.79 inference(quant_inst,[status(thm)],[])).
% 15.65/10.79 tff(15866,plain,
% 15.65/10.79 (v105(constB123) <=> v26(constB123)),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15865, 861])).
% 15.65/10.79 tff(15867,plain,
% 15.65/10.79 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB123))),
% 15.65/10.79 inference(quant_inst,[status(thm)],[])).
% 15.65/10.79 tff(15868,plain,
% 15.65/10.79 (~v26(constB123)),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15867, 873])).
% 15.65/10.79 tff(15869,plain,
% 15.65/10.79 ((~(v105(constB123) <=> v26(constB123))) | (~v105(constB123)) | v26(constB123)),
% 15.65/10.79 inference(tautology,[status(thm)],[])).
% 15.65/10.79 tff(15870,plain,
% 15.65/10.79 ((~(v105(constB123) <=> v26(constB123))) | (~v105(constB123))),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15869, 15868])).
% 15.65/10.79 tff(15871,plain,
% 15.65/10.79 (~v105(constB123)),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15870, 15866])).
% 15.65/10.79 tff(15872,plain,
% 15.65/10.79 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB123) | (~(((~v121(constB123, 2)) <=> v124(constB123, 2)) | ((~v121(constB123, 0)) <=> v124(constB123, 0)) | ((~v121(constB123, 1)) <=> v124(constB123, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB123) | (~(((~v121(constB123, 2)) <=> v124(constB123, 2)) | ((~v121(constB123, 0)) <=> v124(constB123, 0)) | ((~v121(constB123, 1)) <=> v124(constB123, 1)))))),
% 15.65/10.79 inference(rewrite,[status(thm)],[])).
% 15.65/10.79 tff(15873,plain,
% 15.65/10.79 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB123) | (~(((~v121(constB123, 2)) <=> v124(constB123, 2)) | ((~v121(constB123, 0)) <=> v124(constB123, 0)) | ((~v121(constB123, 1)) <=> v124(constB123, 1)))))),
% 15.65/10.79 inference(quant_inst,[status(thm)],[])).
% 15.65/10.79 tff(15874,plain,
% 15.65/10.79 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB123) | (~(((~v121(constB123, 2)) <=> v124(constB123, 2)) | ((~v121(constB123, 0)) <=> v124(constB123, 0)) | ((~v121(constB123, 1)) <=> v124(constB123, 1))))),
% 15.65/10.79 inference(modus_ponens,[status(thm)],[15873, 15872])).
% 15.65/10.79 tff(15875,plain,
% 15.65/10.79 (v105(constB123) | (~(((~v121(constB123, 2)) <=> v124(constB123, 2)) | ((~v121(constB123, 0)) <=> v124(constB123, 0)) | ((~v121(constB123, 1)) <=> v124(constB123, 1))))),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15874, 891])).
% 15.65/10.79 tff(15876,plain,
% 15.65/10.79 (~(((~v121(constB123, 2)) <=> v124(constB123, 2)) | ((~v121(constB123, 0)) <=> v124(constB123, 0)) | ((~v121(constB123, 1)) <=> v124(constB123, 1)))),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15875, 15871])).
% 15.65/10.79 tff(15877,plain,
% 15.65/10.79 ((((~v121(constB123, 2)) <=> v124(constB123, 2)) | ((~v121(constB123, 0)) <=> v124(constB123, 0)) | ((~v121(constB123, 1)) <=> v124(constB123, 1))) | (~((~v121(constB123, 2)) <=> v124(constB123, 2)))),
% 15.65/10.79 inference(tautology,[status(thm)],[])).
% 15.65/10.79 tff(15878,plain,
% 15.65/10.79 (~((~v121(constB123, 2)) <=> v124(constB123, 2))),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15877, 15876])).
% 15.65/10.79 tff(15879,plain,
% 15.65/10.79 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB123) <=> (~(v84(constB123, 1) | v84(constB123, 0) | (~v84(constB123, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB123) <=> (~(v84(constB123, 1) | v84(constB123, 0) | (~v84(constB123, 2))))))),
% 15.65/10.79 inference(rewrite,[status(thm)],[])).
% 15.65/10.79 tff(15880,plain,
% 15.65/10.79 ((v117(constB123) <=> (~(v84(constB123, 0) | v84(constB123, 1) | (~v84(constB123, 2))))) <=> (v117(constB123) <=> (~(v84(constB123, 1) | v84(constB123, 0) | (~v84(constB123, 2)))))),
% 15.65/10.79 inference(rewrite,[status(thm)],[])).
% 15.65/10.79 tff(15881,plain,
% 15.65/10.79 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB123) <=> (~(v84(constB123, 0) | v84(constB123, 1) | (~v84(constB123, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB123) <=> (~(v84(constB123, 1) | v84(constB123, 0) | (~v84(constB123, 2))))))),
% 15.65/10.79 inference(monotonicity,[status(thm)],[15880])).
% 15.65/10.79 tff(15882,plain,
% 15.65/10.79 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB123) <=> (~(v84(constB123, 0) | v84(constB123, 1) | (~v84(constB123, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB123) <=> (~(v84(constB123, 1) | v84(constB123, 0) | (~v84(constB123, 2))))))),
% 15.65/10.79 inference(transitivity,[status(thm)],[15881, 15879])).
% 15.65/10.79 tff(15883,plain,
% 15.65/10.79 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB123) <=> (~(v84(constB123, 0) | v84(constB123, 1) | (~v84(constB123, 2)))))),
% 15.65/10.79 inference(quant_inst,[status(thm)],[])).
% 15.65/10.79 tff(15884,plain,
% 15.65/10.79 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB123) <=> (~(v84(constB123, 1) | v84(constB123, 0) | (~v84(constB123, 2)))))),
% 15.65/10.79 inference(modus_ponens,[status(thm)],[15883, 15882])).
% 15.65/10.79 tff(15885,plain,
% 15.65/10.79 (v117(constB123) <=> (~(v84(constB123, 1) | v84(constB123, 0) | (~v84(constB123, 2))))),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15884, 1199])).
% 15.65/10.79 tff(15886,plain,
% 15.65/10.79 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 15.65/10.79 inference(rewrite,[status(thm)],[])).
% 15.65/10.79 tff(15887,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_122')).
% 15.65/10.79 tff(15888,plain,
% 15.65/10.79 (nextState(constB122, constB123)),
% 15.65/10.79 inference(modus_ponens,[status(thm)],[15887, 15886])).
% 15.65/10.79 tff(15889,plain,
% 15.65/10.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB122, constB123)) | (v94(constB123) <=> (~((~v95(constB123)) | (~v104(constB123))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB122, constB123)) | (v94(constB123) <=> (~((~v95(constB123)) | (~v104(constB123))))))),
% 15.65/10.79 inference(rewrite,[status(thm)],[])).
% 15.65/10.79 tff(15890,plain,
% 15.65/10.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB122, constB123)) | (v94(constB123) <=> (~((~v95(constB123)) | (~v104(constB123))))))),
% 15.65/10.79 inference(quant_inst,[status(thm)],[])).
% 15.65/10.79 tff(15891,plain,
% 15.65/10.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB122, constB123)) | (v94(constB123) <=> (~((~v95(constB123)) | (~v104(constB123)))))),
% 15.65/10.79 inference(modus_ponens,[status(thm)],[15890, 15889])).
% 15.65/10.79 tff(15892,plain,
% 15.65/10.79 (v94(constB123) <=> (~((~v95(constB123)) | (~v104(constB123))))),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15891, 15888, 770])).
% 15.65/10.79 tff(15893,plain,
% 15.65/10.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123))))))),
% 15.65/10.79 inference(rewrite,[status(thm)],[])).
% 15.65/10.79 tff(15894,plain,
% 15.65/10.79 (((~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v96(constB123)) | (~v1(constB123)))))) <=> ((~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123))))))),
% 15.65/10.79 inference(rewrite,[status(thm)],[])).
% 15.65/10.79 tff(15895,plain,
% 15.65/10.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v96(constB123)) | (~v1(constB123))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123)))))))),
% 15.65/10.79 inference(monotonicity,[status(thm)],[15894])).
% 15.65/10.79 tff(15896,plain,
% 15.65/10.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v96(constB123)) | (~v1(constB123))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123))))))),
% 15.65/10.79 inference(transitivity,[status(thm)],[15895, 15893])).
% 15.65/10.79 tff(15897,plain,
% 15.65/10.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v96(constB123)) | (~v1(constB123))))))),
% 15.65/10.79 inference(quant_inst,[status(thm)],[])).
% 15.65/10.79 tff(15898,plain,
% 15.65/10.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123)))))),
% 15.65/10.79 inference(modus_ponens,[status(thm)],[15897, 15896])).
% 15.65/10.79 tff(15899,plain,
% 15.65/10.79 (v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123))))),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15898, 15888, 790])).
% 15.65/10.79 tff(15900,plain,
% 15.65/10.79 ((~v1(constB123)) <=> (~v1(constB123))),
% 15.65/10.79 inference(rewrite,[status(thm)],[])).
% 15.65/10.79 tff(15901,axiom,(~v1(constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_123')).
% 15.65/10.79 tff(15902,plain,
% 15.65/10.79 (~v1(constB123)),
% 15.65/10.79 inference(modus_ponens,[status(thm)],[15901, 15900])).
% 15.65/10.79 tff(15903,plain,
% 15.65/10.79 (((~v1(constB123)) | (~v96(constB123))) | v1(constB123)),
% 15.65/10.79 inference(tautology,[status(thm)],[])).
% 15.65/10.79 tff(15904,plain,
% 15.65/10.79 ((~v1(constB123)) | (~v96(constB123))),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15903, 15902])).
% 15.65/10.79 tff(15905,plain,
% 15.65/10.79 ((~(v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123)))))) | (~v95(constB123)) | (~((~v1(constB123)) | (~v96(constB123))))),
% 15.65/10.79 inference(tautology,[status(thm)],[])).
% 15.65/10.79 tff(15906,plain,
% 15.65/10.79 ((~(v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123)))))) | (~v95(constB123))),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15905, 15904])).
% 15.65/10.79 tff(15907,plain,
% 15.65/10.79 (~v95(constB123)),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15906, 15899])).
% 15.65/10.79 tff(15908,plain,
% 15.65/10.79 (((~v95(constB123)) | (~v104(constB123))) | v95(constB123)),
% 15.65/10.79 inference(tautology,[status(thm)],[])).
% 15.65/10.79 tff(15909,plain,
% 15.65/10.79 ((~v95(constB123)) | (~v104(constB123))),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15908, 15907])).
% 15.65/10.79 tff(15910,plain,
% 15.65/10.79 ((~(v94(constB123) <=> (~((~v95(constB123)) | (~v104(constB123)))))) | (~v94(constB123)) | (~((~v95(constB123)) | (~v104(constB123))))),
% 15.65/10.79 inference(tautology,[status(thm)],[])).
% 15.65/10.79 tff(15911,plain,
% 15.65/10.79 (~v94(constB123)),
% 15.65/10.79 inference(unit_resolution,[status(thm)],[15910, 15909, 15892])).
% 15.65/10.79 tff(15912,plain,
% 15.65/10.79 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB123) | (~nextState(constB122, constB123)) | (~(((~v84(constB123, 1)) <=> v84(constB122, 1)) | ((~v84(constB123, 2)) <=> v84(constB122, 2)) | ((~v84(constB123, 0)) <=> v84(constB122, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB123) | (~nextState(constB122, constB123)) | (~(((~v84(constB123, 1)) <=> v84(constB122, 1)) | ((~v84(constB123, 2)) <=> v84(constB122, 2)) | ((~v84(constB123, 0)) <=> v84(constB122, 0)))))),
% 15.65/10.79 inference(rewrite,[status(thm)],[])).
% 15.65/10.79 tff(15913,plain,
% 15.65/10.79 ((v94(constB123) | (~nextState(constB122, constB123)) | (~(((~v84(constB123, 2)) <=> v84(constB122, 2)) | ((~v84(constB123, 1)) <=> v84(constB122, 1)) | ((~v84(constB123, 0)) <=> v84(constB122, 0))))) <=> (v94(constB123) | (~nextState(constB122, constB123)) | (~(((~v84(constB123, 1)) <=> v84(constB122, 1)) | ((~v84(constB123, 2)) <=> v84(constB122, 2)) | ((~v84(constB123, 0)) <=> v84(constB122, 0)))))),
% 15.65/10.79 inference(rewrite,[status(thm)],[])).
% 15.65/10.79 tff(15914,plain,
% 15.65/10.79 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB123) | (~nextState(constB122, constB123)) | (~(((~v84(constB123, 2)) <=> v84(constB122, 2)) | ((~v84(constB123, 1)) <=> v84(constB122, 1)) | ((~v84(constB123, 0)) <=> v84(constB122, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB123) | (~nextState(constB122, constB123)) | (~(((~v84(constB123, 1)) <=> v84(constB122, 1)) | ((~v84(constB123, 2)) <=> v84(constB122, 2)) | ((~v84(constB123, 0)) <=> v84(constB122, 0))))))),
% 15.65/10.79 inference(monotonicity,[status(thm)],[15913])).
% 15.65/10.79 tff(15915,plain,
% 15.65/10.79 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB123) | (~nextState(constB122, constB123)) | (~(((~v84(constB123, 2)) <=> v84(constB122, 2)) | ((~v84(constB123, 1)) <=> v84(constB122, 1)) | ((~v84(constB123, 0)) <=> v84(constB122, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB123) | (~nextState(constB122, constB123)) | (~(((~v84(constB123, 1)) <=> v84(constB122, 1)) | ((~v84(constB123, 2)) <=> v84(constB122, 2)) | ((~v84(constB123, 0)) <=> v84(constB122, 0)))))),
% 15.65/10.80 inference(transitivity,[status(thm)],[15914, 15912])).
% 15.65/10.80 tff(15916,plain,
% 15.65/10.80 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB123) | (~nextState(constB122, constB123)) | (~(((~v84(constB123, 2)) <=> v84(constB122, 2)) | ((~v84(constB123, 1)) <=> v84(constB122, 1)) | ((~v84(constB123, 0)) <=> v84(constB122, 0)))))),
% 15.65/10.80 inference(quant_inst,[status(thm)],[])).
% 15.65/10.80 tff(15917,plain,
% 15.65/10.80 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB123) | (~nextState(constB122, constB123)) | (~(((~v84(constB123, 1)) <=> v84(constB122, 1)) | ((~v84(constB123, 2)) <=> v84(constB122, 2)) | ((~v84(constB123, 0)) <=> v84(constB122, 0))))),
% 15.65/10.80 inference(modus_ponens,[status(thm)],[15916, 15915])).
% 15.65/10.80 tff(15918,plain,
% 15.65/10.80 (v94(constB123) | (~(((~v84(constB123, 1)) <=> v84(constB122, 1)) | ((~v84(constB123, 2)) <=> v84(constB122, 2)) | ((~v84(constB123, 0)) <=> v84(constB122, 0))))),
% 15.65/10.80 inference(unit_resolution,[status(thm)],[15917, 15888, 819])).
% 15.65/10.80 tff(15919,plain,
% 15.65/10.80 (~(((~v84(constB123, 1)) <=> v84(constB122, 1)) | ((~v84(constB123, 2)) <=> v84(constB122, 2)) | ((~v84(constB123, 0)) <=> v84(constB122, 0)))),
% 15.65/10.80 inference(unit_resolution,[status(thm)],[15918, 15911])).
% 15.65/10.80 tff(15920,plain,
% 15.65/10.80 ((((~v84(constB123, 1)) <=> v84(constB122, 1)) | ((~v84(constB123, 2)) <=> v84(constB122, 2)) | ((~v84(constB123, 0)) <=> v84(constB122, 0))) | (~((~v84(constB123, 2)) <=> v84(constB122, 2)))),
% 15.65/10.80 inference(tautology,[status(thm)],[])).
% 15.65/10.80 tff(15921,plain,
% 15.65/10.80 (~((~v84(constB123, 2)) <=> v84(constB122, 2))),
% 15.65/10.80 inference(unit_resolution,[status(thm)],[15920, 15919])).
% 15.65/10.80 tff(15922,plain,
% 15.65/10.80 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 15.65/10.80 inference(rewrite,[status(thm)],[])).
% 15.65/10.80 tff(15923,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_121')).
% 15.65/10.80 tff(15924,plain,
% 15.65/10.80 (nextState(constB121, constB122)),
% 15.65/10.80 inference(modus_ponens,[status(thm)],[15923, 15922])).
% 15.65/10.80 tff(15925,plain,
% 15.65/10.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB121, constB122)) | (~(((~v123(constB122, 2)) <=> v121(constB121, 2)) | ((~v123(constB122, 1)) <=> v121(constB121, 1)) | ((~v123(constB122, 0)) <=> v121(constB121, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB121, constB122)) | (~(((~v123(constB122, 2)) <=> v121(constB121, 2)) | ((~v123(constB122, 1)) <=> v121(constB121, 1)) | ((~v123(constB122, 0)) <=> v121(constB121, 0)))))),
% 15.65/10.80 inference(rewrite,[status(thm)],[])).
% 15.65/10.80 tff(15926,plain,
% 15.65/10.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB121, constB122)) | (~(((~v123(constB122, 2)) <=> v121(constB121, 2)) | ((~v123(constB122, 1)) <=> v121(constB121, 1)) | ((~v123(constB122, 0)) <=> v121(constB121, 0)))))),
% 15.65/10.80 inference(quant_inst,[status(thm)],[])).
% 15.65/10.80 tff(15927,plain,
% 15.65/10.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB121, constB122)) | (~(((~v123(constB122, 2)) <=> v121(constB121, 2)) | ((~v123(constB122, 1)) <=> v121(constB121, 1)) | ((~v123(constB122, 0)) <=> v121(constB121, 0))))),
% 15.67/10.80 inference(modus_ponens,[status(thm)],[15926, 15925])).
% 15.67/10.80 tff(15928,plain,
% 15.67/10.80 (~(((~v123(constB122, 2)) <=> v121(constB121, 2)) | ((~v123(constB122, 1)) <=> v121(constB121, 1)) | ((~v123(constB122, 0)) <=> v121(constB121, 0)))),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15927, 15924, 842])).
% 15.67/10.80 tff(15929,plain,
% 15.67/10.80 ((((~v123(constB122, 2)) <=> v121(constB121, 2)) | ((~v123(constB122, 1)) <=> v121(constB121, 1)) | ((~v123(constB122, 0)) <=> v121(constB121, 0))) | (~((~v123(constB122, 2)) <=> v121(constB121, 2)))),
% 15.67/10.80 inference(tautology,[status(thm)],[])).
% 15.67/10.80 tff(15930,plain,
% 15.67/10.80 (~((~v123(constB122, 2)) <=> v121(constB121, 2))),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15929, 15928])).
% 15.67/10.80 tff(15931,plain,
% 15.67/10.80 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB121) <=> v26(constB121))),
% 15.67/10.80 inference(quant_inst,[status(thm)],[])).
% 15.67/10.80 tff(15932,plain,
% 15.67/10.80 (v105(constB121) <=> v26(constB121)),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15931, 861])).
% 15.67/10.80 tff(15933,plain,
% 15.67/10.80 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB121))),
% 15.67/10.80 inference(quant_inst,[status(thm)],[])).
% 15.67/10.80 tff(15934,plain,
% 15.67/10.80 (~v26(constB121)),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15933, 873])).
% 15.67/10.80 tff(15935,plain,
% 15.67/10.80 ((~(v105(constB121) <=> v26(constB121))) | (~v105(constB121)) | v26(constB121)),
% 15.67/10.80 inference(tautology,[status(thm)],[])).
% 15.67/10.80 tff(15936,plain,
% 15.67/10.80 ((~(v105(constB121) <=> v26(constB121))) | (~v105(constB121))),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15935, 15934])).
% 15.67/10.80 tff(15937,plain,
% 15.67/10.80 (~v105(constB121)),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15936, 15932])).
% 15.67/10.80 tff(15938,plain,
% 15.67/10.80 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB121) | (~(((~v121(constB121, 2)) <=> v124(constB121, 2)) | ((~v121(constB121, 0)) <=> v124(constB121, 0)) | ((~v121(constB121, 1)) <=> v124(constB121, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB121) | (~(((~v121(constB121, 2)) <=> v124(constB121, 2)) | ((~v121(constB121, 0)) <=> v124(constB121, 0)) | ((~v121(constB121, 1)) <=> v124(constB121, 1)))))),
% 15.67/10.80 inference(rewrite,[status(thm)],[])).
% 15.67/10.80 tff(15939,plain,
% 15.67/10.80 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB121) | (~(((~v121(constB121, 2)) <=> v124(constB121, 2)) | ((~v121(constB121, 0)) <=> v124(constB121, 0)) | ((~v121(constB121, 1)) <=> v124(constB121, 1)))))),
% 15.67/10.80 inference(quant_inst,[status(thm)],[])).
% 15.67/10.80 tff(15940,plain,
% 15.67/10.80 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB121) | (~(((~v121(constB121, 2)) <=> v124(constB121, 2)) | ((~v121(constB121, 0)) <=> v124(constB121, 0)) | ((~v121(constB121, 1)) <=> v124(constB121, 1))))),
% 15.67/10.80 inference(modus_ponens,[status(thm)],[15939, 15938])).
% 15.67/10.80 tff(15941,plain,
% 15.67/10.80 (v105(constB121) | (~(((~v121(constB121, 2)) <=> v124(constB121, 2)) | ((~v121(constB121, 0)) <=> v124(constB121, 0)) | ((~v121(constB121, 1)) <=> v124(constB121, 1))))),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15940, 891])).
% 15.67/10.80 tff(15942,plain,
% 15.67/10.80 (~(((~v121(constB121, 2)) <=> v124(constB121, 2)) | ((~v121(constB121, 0)) <=> v124(constB121, 0)) | ((~v121(constB121, 1)) <=> v124(constB121, 1)))),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15941, 15937])).
% 15.67/10.80 tff(15943,plain,
% 15.67/10.80 ((((~v121(constB121, 2)) <=> v124(constB121, 2)) | ((~v121(constB121, 0)) <=> v124(constB121, 0)) | ((~v121(constB121, 1)) <=> v124(constB121, 1))) | (~((~v121(constB121, 2)) <=> v124(constB121, 2)))),
% 15.67/10.80 inference(tautology,[status(thm)],[])).
% 15.67/10.80 tff(15944,plain,
% 15.67/10.80 (~((~v121(constB121, 2)) <=> v124(constB121, 2))),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15943, 15942])).
% 15.67/10.80 tff(15945,plain,
% 15.67/10.80 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB121) <=> (~(v84(constB121, 2) | (~v84(constB121, 1)) | (~v84(constB121, 0)))))),
% 15.67/10.80 inference(quant_inst,[status(thm)],[])).
% 15.67/10.80 tff(15946,plain,
% 15.67/10.80 (v116(constB121) <=> (~(v84(constB121, 2) | (~v84(constB121, 1)) | (~v84(constB121, 0))))),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15945, 911])).
% 15.67/10.80 tff(15947,plain,
% 15.67/10.80 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 15.67/10.80 inference(rewrite,[status(thm)],[])).
% 15.67/10.80 tff(15948,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_120')).
% 15.67/10.80 tff(15949,plain,
% 15.67/10.80 (nextState(constB120, constB121)),
% 15.67/10.80 inference(modus_ponens,[status(thm)],[15948, 15947])).
% 15.67/10.80 tff(15950,plain,
% 15.67/10.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB120, constB121)) | (v94(constB121) <=> (~((~v95(constB121)) | (~v104(constB121))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB120, constB121)) | (v94(constB121) <=> (~((~v95(constB121)) | (~v104(constB121))))))),
% 15.67/10.80 inference(rewrite,[status(thm)],[])).
% 15.67/10.80 tff(15951,plain,
% 15.67/10.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB120, constB121)) | (v94(constB121) <=> (~((~v95(constB121)) | (~v104(constB121))))))),
% 15.67/10.80 inference(quant_inst,[status(thm)],[])).
% 15.67/10.80 tff(15952,plain,
% 15.67/10.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB120, constB121)) | (v94(constB121) <=> (~((~v95(constB121)) | (~v104(constB121)))))),
% 15.67/10.80 inference(modus_ponens,[status(thm)],[15951, 15950])).
% 15.67/10.80 tff(15953,plain,
% 15.67/10.80 (v94(constB121) <=> (~((~v95(constB121)) | (~v104(constB121))))),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15952, 15949, 770])).
% 15.67/10.80 tff(15954,plain,
% 15.67/10.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121))))))),
% 15.67/10.80 inference(rewrite,[status(thm)],[])).
% 15.67/10.80 tff(15955,plain,
% 15.67/10.80 (((~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v96(constB121)) | (~v1(constB121)))))) <=> ((~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121))))))),
% 15.67/10.80 inference(rewrite,[status(thm)],[])).
% 15.67/10.80 tff(15956,plain,
% 15.67/10.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v96(constB121)) | (~v1(constB121))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121)))))))),
% 15.67/10.80 inference(monotonicity,[status(thm)],[15955])).
% 15.67/10.80 tff(15957,plain,
% 15.67/10.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v96(constB121)) | (~v1(constB121))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121))))))),
% 15.67/10.80 inference(transitivity,[status(thm)],[15956, 15954])).
% 15.67/10.80 tff(15958,plain,
% 15.67/10.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v96(constB121)) | (~v1(constB121))))))),
% 15.67/10.80 inference(quant_inst,[status(thm)],[])).
% 15.67/10.80 tff(15959,plain,
% 15.67/10.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121)))))),
% 15.67/10.80 inference(modus_ponens,[status(thm)],[15958, 15957])).
% 15.67/10.80 tff(15960,plain,
% 15.67/10.80 (v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121))))),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15959, 15949, 790])).
% 15.67/10.80 tff(15961,plain,
% 15.67/10.80 ((~v1(constB121)) <=> (~v1(constB121))),
% 15.67/10.80 inference(rewrite,[status(thm)],[])).
% 15.67/10.80 tff(15962,axiom,(~v1(constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_121')).
% 15.67/10.80 tff(15963,plain,
% 15.67/10.80 (~v1(constB121)),
% 15.67/10.80 inference(modus_ponens,[status(thm)],[15962, 15961])).
% 15.67/10.80 tff(15964,plain,
% 15.67/10.80 (((~v1(constB121)) | (~v96(constB121))) | v1(constB121)),
% 15.67/10.80 inference(tautology,[status(thm)],[])).
% 15.67/10.80 tff(15965,plain,
% 15.67/10.80 ((~v1(constB121)) | (~v96(constB121))),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15964, 15963])).
% 15.67/10.80 tff(15966,plain,
% 15.67/10.80 ((~(v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121)))))) | (~v95(constB121)) | (~((~v1(constB121)) | (~v96(constB121))))),
% 15.67/10.80 inference(tautology,[status(thm)],[])).
% 15.67/10.80 tff(15967,plain,
% 15.67/10.80 ((~(v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121)))))) | (~v95(constB121))),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15966, 15965])).
% 15.67/10.80 tff(15968,plain,
% 15.67/10.80 (~v95(constB121)),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15967, 15960])).
% 15.67/10.80 tff(15969,plain,
% 15.67/10.80 (((~v95(constB121)) | (~v104(constB121))) | v95(constB121)),
% 15.67/10.80 inference(tautology,[status(thm)],[])).
% 15.67/10.80 tff(15970,plain,
% 15.67/10.80 ((~v95(constB121)) | (~v104(constB121))),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15969, 15968])).
% 15.67/10.80 tff(15971,plain,
% 15.67/10.80 ((~(v94(constB121) <=> (~((~v95(constB121)) | (~v104(constB121)))))) | (~v94(constB121)) | (~((~v95(constB121)) | (~v104(constB121))))),
% 15.67/10.80 inference(tautology,[status(thm)],[])).
% 15.67/10.80 tff(15972,plain,
% 15.67/10.80 (~v94(constB121)),
% 15.67/10.80 inference(unit_resolution,[status(thm)],[15971, 15970, 15953])).
% 15.67/10.80 tff(15973,plain,
% 15.67/10.80 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB121) | (~nextState(constB120, constB121)) | (~(((~v84(constB121, 1)) <=> v84(constB120, 1)) | ((~v84(constB121, 2)) <=> v84(constB120, 2)) | ((~v84(constB121, 0)) <=> v84(constB120, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB121) | (~nextState(constB120, constB121)) | (~(((~v84(constB121, 1)) <=> v84(constB120, 1)) | ((~v84(constB121, 2)) <=> v84(constB120, 2)) | ((~v84(constB121, 0)) <=> v84(constB120, 0)))))),
% 15.67/10.80 inference(rewrite,[status(thm)],[])).
% 15.67/10.80 tff(15974,plain,
% 15.67/10.80 ((v94(constB121) | (~nextState(constB120, constB121)) | (~(((~v84(constB121, 2)) <=> v84(constB120, 2)) | ((~v84(constB121, 1)) <=> v84(constB120, 1)) | ((~v84(constB121, 0)) <=> v84(constB120, 0))))) <=> (v94(constB121) | (~nextState(constB120, constB121)) | (~(((~v84(constB121, 1)) <=> v84(constB120, 1)) | ((~v84(constB121, 2)) <=> v84(constB120, 2)) | ((~v84(constB121, 0)) <=> v84(constB120, 0)))))),
% 15.67/10.80 inference(rewrite,[status(thm)],[])).
% 15.67/10.80 tff(15975,plain,
% 15.67/10.80 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB121) | (~nextState(constB120, constB121)) | (~(((~v84(constB121, 2)) <=> v84(constB120, 2)) | ((~v84(constB121, 1)) <=> v84(constB120, 1)) | ((~v84(constB121, 0)) <=> v84(constB120, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB121) | (~nextState(constB120, constB121)) | (~(((~v84(constB121, 1)) <=> v84(constB120, 1)) | ((~v84(constB121, 2)) <=> v84(constB120, 2)) | ((~v84(constB121, 0)) <=> v84(constB120, 0))))))),
% 15.67/10.81 inference(monotonicity,[status(thm)],[15974])).
% 15.67/10.81 tff(15976,plain,
% 15.67/10.81 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB121) | (~nextState(constB120, constB121)) | (~(((~v84(constB121, 2)) <=> v84(constB120, 2)) | ((~v84(constB121, 1)) <=> v84(constB120, 1)) | ((~v84(constB121, 0)) <=> v84(constB120, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB121) | (~nextState(constB120, constB121)) | (~(((~v84(constB121, 1)) <=> v84(constB120, 1)) | ((~v84(constB121, 2)) <=> v84(constB120, 2)) | ((~v84(constB121, 0)) <=> v84(constB120, 0)))))),
% 15.67/10.81 inference(transitivity,[status(thm)],[15975, 15973])).
% 15.67/10.81 tff(15977,plain,
% 15.67/10.81 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB121) | (~nextState(constB120, constB121)) | (~(((~v84(constB121, 2)) <=> v84(constB120, 2)) | ((~v84(constB121, 1)) <=> v84(constB120, 1)) | ((~v84(constB121, 0)) <=> v84(constB120, 0)))))),
% 15.67/10.81 inference(quant_inst,[status(thm)],[])).
% 15.67/10.81 tff(15978,plain,
% 15.67/10.81 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB121) | (~nextState(constB120, constB121)) | (~(((~v84(constB121, 1)) <=> v84(constB120, 1)) | ((~v84(constB121, 2)) <=> v84(constB120, 2)) | ((~v84(constB121, 0)) <=> v84(constB120, 0))))),
% 15.67/10.81 inference(modus_ponens,[status(thm)],[15977, 15976])).
% 15.67/10.81 tff(15979,plain,
% 15.67/10.81 (v94(constB121) | (~(((~v84(constB121, 1)) <=> v84(constB120, 1)) | ((~v84(constB121, 2)) <=> v84(constB120, 2)) | ((~v84(constB121, 0)) <=> v84(constB120, 0))))),
% 15.67/10.81 inference(unit_resolution,[status(thm)],[15978, 15949, 819])).
% 15.67/10.81 tff(15980,plain,
% 15.67/10.81 (~(((~v84(constB121, 1)) <=> v84(constB120, 1)) | ((~v84(constB121, 2)) <=> v84(constB120, 2)) | ((~v84(constB121, 0)) <=> v84(constB120, 0)))),
% 15.67/10.81 inference(unit_resolution,[status(thm)],[15979, 15972])).
% 15.67/10.81 tff(15981,plain,
% 15.67/10.81 ((((~v84(constB121, 1)) <=> v84(constB120, 1)) | ((~v84(constB121, 2)) <=> v84(constB120, 2)) | ((~v84(constB121, 0)) <=> v84(constB120, 0))) | (~((~v84(constB121, 2)) <=> v84(constB120, 2)))),
% 15.67/10.81 inference(tautology,[status(thm)],[])).
% 15.67/10.81 tff(15982,plain,
% 15.67/10.81 (~((~v84(constB121, 2)) <=> v84(constB120, 2))),
% 15.67/10.81 inference(unit_resolution,[status(thm)],[15981, 15980])).
% 15.67/10.81 tff(15983,plain,
% 15.67/10.81 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 15.67/10.81 inference(rewrite,[status(thm)],[])).
% 15.67/10.81 tff(15984,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_119')).
% 15.67/10.81 tff(15985,plain,
% 15.67/10.81 (nextState(constB119, constB120)),
% 15.67/10.81 inference(modus_ponens,[status(thm)],[15984, 15983])).
% 15.67/10.81 tff(15986,plain,
% 15.67/10.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB119, constB120)) | (~(((~v123(constB120, 2)) <=> v121(constB119, 2)) | ((~v123(constB120, 1)) <=> v121(constB119, 1)) | ((~v123(constB120, 0)) <=> v121(constB119, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB119, constB120)) | (~(((~v123(constB120, 2)) <=> v121(constB119, 2)) | ((~v123(constB120, 1)) <=> v121(constB119, 1)) | ((~v123(constB120, 0)) <=> v121(constB119, 0)))))),
% 15.67/10.81 inference(rewrite,[status(thm)],[])).
% 15.67/10.81 tff(15987,plain,
% 15.67/10.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB119, constB120)) | (~(((~v123(constB120, 2)) <=> v121(constB119, 2)) | ((~v123(constB120, 1)) <=> v121(constB119, 1)) | ((~v123(constB120, 0)) <=> v121(constB119, 0)))))),
% 15.67/10.81 inference(quant_inst,[status(thm)],[])).
% 15.67/10.81 tff(15988,plain,
% 15.67/10.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB119, constB120)) | (~(((~v123(constB120, 2)) <=> v121(constB119, 2)) | ((~v123(constB120, 1)) <=> v121(constB119, 1)) | ((~v123(constB120, 0)) <=> v121(constB119, 0))))),
% 15.67/10.81 inference(modus_ponens,[status(thm)],[15987, 15986])).
% 15.67/10.81 tff(15989,plain,
% 15.67/10.81 (~(((~v123(constB120, 2)) <=> v121(constB119, 2)) | ((~v123(constB120, 1)) <=> v121(constB119, 1)) | ((~v123(constB120, 0)) <=> v121(constB119, 0)))),
% 15.67/10.81 inference(unit_resolution,[status(thm)],[15988, 15985, 842])).
% 15.67/10.81 tff(15990,plain,
% 15.67/10.81 ((((~v123(constB120, 2)) <=> v121(constB119, 2)) | ((~v123(constB120, 1)) <=> v121(constB119, 1)) | ((~v123(constB120, 0)) <=> v121(constB119, 0))) | (~((~v123(constB120, 2)) <=> v121(constB119, 2)))),
% 15.67/10.81 inference(tautology,[status(thm)],[])).
% 15.67/10.81 tff(15991,plain,
% 15.67/10.81 (~((~v123(constB120, 2)) <=> v121(constB119, 2))),
% 15.67/10.81 inference(unit_resolution,[status(thm)],[15990, 15989])).
% 15.67/10.81 tff(15992,plain,
% 15.67/10.81 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB119) <=> v26(constB119))),
% 15.67/10.81 inference(quant_inst,[status(thm)],[])).
% 15.67/10.81 tff(15993,plain,
% 15.67/10.81 (v105(constB119) <=> v26(constB119)),
% 15.67/10.81 inference(unit_resolution,[status(thm)],[15992, 861])).
% 15.67/10.81 tff(15994,plain,
% 15.67/10.81 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB119))),
% 15.67/10.81 inference(quant_inst,[status(thm)],[])).
% 15.67/10.81 tff(15995,plain,
% 15.67/10.81 (~v26(constB119)),
% 15.67/10.81 inference(unit_resolution,[status(thm)],[15994, 873])).
% 15.67/10.81 tff(15996,plain,
% 15.67/10.81 ((~(v105(constB119) <=> v26(constB119))) | (~v105(constB119)) | v26(constB119)),
% 15.67/10.81 inference(tautology,[status(thm)],[])).
% 15.67/10.81 tff(15997,plain,
% 15.67/10.81 ((~(v105(constB119) <=> v26(constB119))) | (~v105(constB119))),
% 15.67/10.81 inference(unit_resolution,[status(thm)],[15996, 15995])).
% 15.67/10.81 tff(15998,plain,
% 15.67/10.81 (~v105(constB119)),
% 15.67/10.81 inference(unit_resolution,[status(thm)],[15997, 15993])).
% 15.67/10.81 tff(15999,plain,
% 15.67/10.81 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB119) | (~(((~v121(constB119, 2)) <=> v124(constB119, 2)) | ((~v121(constB119, 0)) <=> v124(constB119, 0)) | ((~v121(constB119, 1)) <=> v124(constB119, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB119) | (~(((~v121(constB119, 2)) <=> v124(constB119, 2)) | ((~v121(constB119, 0)) <=> v124(constB119, 0)) | ((~v121(constB119, 1)) <=> v124(constB119, 1)))))),
% 15.67/10.81 inference(rewrite,[status(thm)],[])).
% 15.67/10.81 tff(16000,plain,
% 15.67/10.81 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB119) | (~(((~v121(constB119, 2)) <=> v124(constB119, 2)) | ((~v121(constB119, 0)) <=> v124(constB119, 0)) | ((~v121(constB119, 1)) <=> v124(constB119, 1)))))),
% 15.67/10.81 inference(quant_inst,[status(thm)],[])).
% 15.67/10.81 tff(16001,plain,
% 15.67/10.81 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB119) | (~(((~v121(constB119, 2)) <=> v124(constB119, 2)) | ((~v121(constB119, 0)) <=> v124(constB119, 0)) | ((~v121(constB119, 1)) <=> v124(constB119, 1))))),
% 15.67/10.81 inference(modus_ponens,[status(thm)],[16000, 15999])).
% 15.67/10.81 tff(16002,plain,
% 15.67/10.81 (v105(constB119) | (~(((~v121(constB119, 2)) <=> v124(constB119, 2)) | ((~v121(constB119, 0)) <=> v124(constB119, 0)) | ((~v121(constB119, 1)) <=> v124(constB119, 1))))),
% 15.67/10.81 inference(unit_resolution,[status(thm)],[16001, 891])).
% 15.67/10.81 tff(16003,plain,
% 15.67/10.81 (~(((~v121(constB119, 2)) <=> v124(constB119, 2)) | ((~v121(constB119, 0)) <=> v124(constB119, 0)) | ((~v121(constB119, 1)) <=> v124(constB119, 1)))),
% 15.67/10.81 inference(unit_resolution,[status(thm)],[16002, 15998])).
% 15.67/10.81 tff(16004,plain,
% 15.67/10.81 ((((~v121(constB119, 2)) <=> v124(constB119, 2)) | ((~v121(constB119, 0)) <=> v124(constB119, 0)) | ((~v121(constB119, 1)) <=> v124(constB119, 1))) | (~((~v121(constB119, 2)) <=> v124(constB119, 2)))),
% 15.67/10.81 inference(tautology,[status(thm)],[])).
% 15.67/10.81 tff(16005,plain,
% 15.67/10.81 (~((~v121(constB119, 2)) <=> v124(constB119, 2))),
% 15.67/10.81 inference(unit_resolution,[status(thm)],[16004, 16003])).
% 15.67/10.81 tff(16006,plain,
% 15.67/10.81 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB119) <=> (~(v84(constB119, 2) | v84(constB119, 0) | (~v84(constB119, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB119) <=> (~(v84(constB119, 2) | v84(constB119, 0) | (~v84(constB119, 1))))))),
% 15.67/10.81 inference(rewrite,[status(thm)],[])).
% 15.67/10.81 tff(16007,plain,
% 15.67/10.81 ((v115(constB119) <=> (~(v84(constB119, 0) | v84(constB119, 2) | (~v84(constB119, 1))))) <=> (v115(constB119) <=> (~(v84(constB119, 2) | v84(constB119, 0) | (~v84(constB119, 1)))))),
% 15.67/10.81 inference(rewrite,[status(thm)],[])).
% 15.67/10.81 tff(16008,plain,
% 15.67/10.81 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB119) <=> (~(v84(constB119, 0) | v84(constB119, 2) | (~v84(constB119, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB119) <=> (~(v84(constB119, 2) | v84(constB119, 0) | (~v84(constB119, 1))))))),
% 15.67/10.81 inference(monotonicity,[status(thm)],[16007])).
% 15.67/10.81 tff(16009,plain,
% 15.67/10.81 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB119) <=> (~(v84(constB119, 0) | v84(constB119, 2) | (~v84(constB119, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB119) <=> (~(v84(constB119, 2) | v84(constB119, 0) | (~v84(constB119, 1))))))),
% 15.67/10.81 inference(transitivity,[status(thm)],[16008, 16006])).
% 15.67/10.81 tff(16010,plain,
% 15.67/10.81 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB119) <=> (~(v84(constB119, 0) | v84(constB119, 2) | (~v84(constB119, 1)))))),
% 15.67/10.81 inference(quant_inst,[status(thm)],[])).
% 15.67/10.81 tff(16011,plain,
% 15.67/10.81 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB119) <=> (~(v84(constB119, 2) | v84(constB119, 0) | (~v84(constB119, 1)))))),
% 15.67/10.81 inference(modus_ponens,[status(thm)],[16010, 16009])).
% 15.67/10.81 tff(16012,plain,
% 15.68/10.81 (v115(constB119) <=> (~(v84(constB119, 2) | v84(constB119, 0) | (~v84(constB119, 1))))),
% 15.68/10.81 inference(unit_resolution,[status(thm)],[16011, 985])).
% 15.68/10.81 tff(16013,plain,
% 15.68/10.81 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 15.68/10.81 inference(rewrite,[status(thm)],[])).
% 15.68/10.81 tff(16014,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_118')).
% 15.68/10.81 tff(16015,plain,
% 15.68/10.81 (nextState(constB118, constB119)),
% 15.68/10.81 inference(modus_ponens,[status(thm)],[16014, 16013])).
% 15.68/10.81 tff(16016,plain,
% 15.68/10.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB118, constB119)) | (v94(constB119) <=> (~((~v95(constB119)) | (~v104(constB119))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB118, constB119)) | (v94(constB119) <=> (~((~v95(constB119)) | (~v104(constB119))))))),
% 15.68/10.81 inference(rewrite,[status(thm)],[])).
% 15.68/10.81 tff(16017,plain,
% 15.68/10.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB118, constB119)) | (v94(constB119) <=> (~((~v95(constB119)) | (~v104(constB119))))))),
% 15.68/10.81 inference(quant_inst,[status(thm)],[])).
% 15.68/10.81 tff(16018,plain,
% 15.68/10.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB118, constB119)) | (v94(constB119) <=> (~((~v95(constB119)) | (~v104(constB119)))))),
% 15.68/10.81 inference(modus_ponens,[status(thm)],[16017, 16016])).
% 15.68/10.81 tff(16019,plain,
% 15.68/10.81 (v94(constB119) <=> (~((~v95(constB119)) | (~v104(constB119))))),
% 15.68/10.81 inference(unit_resolution,[status(thm)],[16018, 16015, 770])).
% 15.68/10.81 tff(16020,plain,
% 15.68/10.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119))))))),
% 15.68/10.81 inference(rewrite,[status(thm)],[])).
% 15.68/10.81 tff(16021,plain,
% 15.68/10.81 (((~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v96(constB119)) | (~v1(constB119)))))) <=> ((~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119))))))),
% 15.68/10.81 inference(rewrite,[status(thm)],[])).
% 15.68/10.81 tff(16022,plain,
% 15.68/10.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v96(constB119)) | (~v1(constB119))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119)))))))),
% 15.68/10.81 inference(monotonicity,[status(thm)],[16021])).
% 15.68/10.81 tff(16023,plain,
% 15.68/10.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v96(constB119)) | (~v1(constB119))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119))))))),
% 15.68/10.81 inference(transitivity,[status(thm)],[16022, 16020])).
% 15.68/10.81 tff(16024,plain,
% 15.68/10.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v96(constB119)) | (~v1(constB119))))))),
% 15.68/10.82 inference(quant_inst,[status(thm)],[])).
% 15.68/10.82 tff(16025,plain,
% 15.68/10.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119)))))),
% 15.68/10.82 inference(modus_ponens,[status(thm)],[16024, 16023])).
% 15.68/10.82 tff(16026,plain,
% 15.68/10.82 (v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119))))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16025, 16015, 790])).
% 15.68/10.82 tff(16027,plain,
% 15.68/10.82 ((~v1(constB119)) <=> (~v1(constB119))),
% 15.68/10.82 inference(rewrite,[status(thm)],[])).
% 15.68/10.82 tff(16028,axiom,(~v1(constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_119')).
% 15.68/10.82 tff(16029,plain,
% 15.68/10.82 (~v1(constB119)),
% 15.68/10.82 inference(modus_ponens,[status(thm)],[16028, 16027])).
% 15.68/10.82 tff(16030,plain,
% 15.68/10.82 (((~v1(constB119)) | (~v96(constB119))) | v1(constB119)),
% 15.68/10.82 inference(tautology,[status(thm)],[])).
% 15.68/10.82 tff(16031,plain,
% 15.68/10.82 ((~v1(constB119)) | (~v96(constB119))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16030, 16029])).
% 15.68/10.82 tff(16032,plain,
% 15.68/10.82 ((~(v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119)))))) | (~v95(constB119)) | (~((~v1(constB119)) | (~v96(constB119))))),
% 15.68/10.82 inference(tautology,[status(thm)],[])).
% 15.68/10.82 tff(16033,plain,
% 15.68/10.82 ((~(v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119)))))) | (~v95(constB119))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16032, 16031])).
% 15.68/10.82 tff(16034,plain,
% 15.68/10.82 (~v95(constB119)),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16033, 16026])).
% 15.68/10.82 tff(16035,plain,
% 15.68/10.82 (((~v95(constB119)) | (~v104(constB119))) | v95(constB119)),
% 15.68/10.82 inference(tautology,[status(thm)],[])).
% 15.68/10.82 tff(16036,plain,
% 15.68/10.82 ((~v95(constB119)) | (~v104(constB119))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16035, 16034])).
% 15.68/10.82 tff(16037,plain,
% 15.68/10.82 ((~(v94(constB119) <=> (~((~v95(constB119)) | (~v104(constB119)))))) | (~v94(constB119)) | (~((~v95(constB119)) | (~v104(constB119))))),
% 15.68/10.82 inference(tautology,[status(thm)],[])).
% 15.68/10.82 tff(16038,plain,
% 15.68/10.82 (~v94(constB119)),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16037, 16036, 16019])).
% 15.68/10.82 tff(16039,plain,
% 15.68/10.82 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB119) | (~nextState(constB118, constB119)) | (~(((~v84(constB119, 1)) <=> v84(constB118, 1)) | ((~v84(constB119, 2)) <=> v84(constB118, 2)) | ((~v84(constB119, 0)) <=> v84(constB118, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB119) | (~nextState(constB118, constB119)) | (~(((~v84(constB119, 1)) <=> v84(constB118, 1)) | ((~v84(constB119, 2)) <=> v84(constB118, 2)) | ((~v84(constB119, 0)) <=> v84(constB118, 0)))))),
% 15.68/10.82 inference(rewrite,[status(thm)],[])).
% 15.68/10.82 tff(16040,plain,
% 15.68/10.82 ((v94(constB119) | (~nextState(constB118, constB119)) | (~(((~v84(constB119, 2)) <=> v84(constB118, 2)) | ((~v84(constB119, 1)) <=> v84(constB118, 1)) | ((~v84(constB119, 0)) <=> v84(constB118, 0))))) <=> (v94(constB119) | (~nextState(constB118, constB119)) | (~(((~v84(constB119, 1)) <=> v84(constB118, 1)) | ((~v84(constB119, 2)) <=> v84(constB118, 2)) | ((~v84(constB119, 0)) <=> v84(constB118, 0)))))),
% 15.68/10.82 inference(rewrite,[status(thm)],[])).
% 15.68/10.82 tff(16041,plain,
% 15.68/10.82 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB119) | (~nextState(constB118, constB119)) | (~(((~v84(constB119, 2)) <=> v84(constB118, 2)) | ((~v84(constB119, 1)) <=> v84(constB118, 1)) | ((~v84(constB119, 0)) <=> v84(constB118, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB119) | (~nextState(constB118, constB119)) | (~(((~v84(constB119, 1)) <=> v84(constB118, 1)) | ((~v84(constB119, 2)) <=> v84(constB118, 2)) | ((~v84(constB119, 0)) <=> v84(constB118, 0))))))),
% 15.68/10.82 inference(monotonicity,[status(thm)],[16040])).
% 15.68/10.82 tff(16042,plain,
% 15.68/10.82 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB119) | (~nextState(constB118, constB119)) | (~(((~v84(constB119, 2)) <=> v84(constB118, 2)) | ((~v84(constB119, 1)) <=> v84(constB118, 1)) | ((~v84(constB119, 0)) <=> v84(constB118, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB119) | (~nextState(constB118, constB119)) | (~(((~v84(constB119, 1)) <=> v84(constB118, 1)) | ((~v84(constB119, 2)) <=> v84(constB118, 2)) | ((~v84(constB119, 0)) <=> v84(constB118, 0)))))),
% 15.68/10.82 inference(transitivity,[status(thm)],[16041, 16039])).
% 15.68/10.82 tff(16043,plain,
% 15.68/10.82 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB119) | (~nextState(constB118, constB119)) | (~(((~v84(constB119, 2)) <=> v84(constB118, 2)) | ((~v84(constB119, 1)) <=> v84(constB118, 1)) | ((~v84(constB119, 0)) <=> v84(constB118, 0)))))),
% 15.68/10.82 inference(quant_inst,[status(thm)],[])).
% 15.68/10.82 tff(16044,plain,
% 15.68/10.82 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB119) | (~nextState(constB118, constB119)) | (~(((~v84(constB119, 1)) <=> v84(constB118, 1)) | ((~v84(constB119, 2)) <=> v84(constB118, 2)) | ((~v84(constB119, 0)) <=> v84(constB118, 0))))),
% 15.68/10.82 inference(modus_ponens,[status(thm)],[16043, 16042])).
% 15.68/10.82 tff(16045,plain,
% 15.68/10.82 (v94(constB119) | (~(((~v84(constB119, 1)) <=> v84(constB118, 1)) | ((~v84(constB119, 2)) <=> v84(constB118, 2)) | ((~v84(constB119, 0)) <=> v84(constB118, 0))))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16044, 16015, 819])).
% 15.68/10.82 tff(16046,plain,
% 15.68/10.82 (~(((~v84(constB119, 1)) <=> v84(constB118, 1)) | ((~v84(constB119, 2)) <=> v84(constB118, 2)) | ((~v84(constB119, 0)) <=> v84(constB118, 0)))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16045, 16038])).
% 15.68/10.82 tff(16047,plain,
% 15.68/10.82 ((((~v84(constB119, 1)) <=> v84(constB118, 1)) | ((~v84(constB119, 2)) <=> v84(constB118, 2)) | ((~v84(constB119, 0)) <=> v84(constB118, 0))) | (~((~v84(constB119, 2)) <=> v84(constB118, 2)))),
% 15.68/10.82 inference(tautology,[status(thm)],[])).
% 15.68/10.82 tff(16048,plain,
% 15.68/10.82 (~((~v84(constB119, 2)) <=> v84(constB118, 2))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16047, 16046])).
% 15.68/10.82 tff(16049,plain,
% 15.68/10.82 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 15.68/10.82 inference(rewrite,[status(thm)],[])).
% 15.68/10.82 tff(16050,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_117')).
% 15.68/10.82 tff(16051,plain,
% 15.68/10.82 (nextState(constB117, constB118)),
% 15.68/10.82 inference(modus_ponens,[status(thm)],[16050, 16049])).
% 15.68/10.82 tff(16052,plain,
% 15.68/10.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB117, constB118)) | (~(((~v123(constB118, 2)) <=> v121(constB117, 2)) | ((~v123(constB118, 1)) <=> v121(constB117, 1)) | ((~v123(constB118, 0)) <=> v121(constB117, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB117, constB118)) | (~(((~v123(constB118, 2)) <=> v121(constB117, 2)) | ((~v123(constB118, 1)) <=> v121(constB117, 1)) | ((~v123(constB118, 0)) <=> v121(constB117, 0)))))),
% 15.68/10.82 inference(rewrite,[status(thm)],[])).
% 15.68/10.82 tff(16053,plain,
% 15.68/10.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB117, constB118)) | (~(((~v123(constB118, 2)) <=> v121(constB117, 2)) | ((~v123(constB118, 1)) <=> v121(constB117, 1)) | ((~v123(constB118, 0)) <=> v121(constB117, 0)))))),
% 15.68/10.82 inference(quant_inst,[status(thm)],[])).
% 15.68/10.82 tff(16054,plain,
% 15.68/10.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB117, constB118)) | (~(((~v123(constB118, 2)) <=> v121(constB117, 2)) | ((~v123(constB118, 1)) <=> v121(constB117, 1)) | ((~v123(constB118, 0)) <=> v121(constB117, 0))))),
% 15.68/10.82 inference(modus_ponens,[status(thm)],[16053, 16052])).
% 15.68/10.82 tff(16055,plain,
% 15.68/10.82 (~(((~v123(constB118, 2)) <=> v121(constB117, 2)) | ((~v123(constB118, 1)) <=> v121(constB117, 1)) | ((~v123(constB118, 0)) <=> v121(constB117, 0)))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16054, 16051, 842])).
% 15.68/10.82 tff(16056,plain,
% 15.68/10.82 ((((~v123(constB118, 2)) <=> v121(constB117, 2)) | ((~v123(constB118, 1)) <=> v121(constB117, 1)) | ((~v123(constB118, 0)) <=> v121(constB117, 0))) | (~((~v123(constB118, 2)) <=> v121(constB117, 2)))),
% 15.68/10.82 inference(tautology,[status(thm)],[])).
% 15.68/10.82 tff(16057,plain,
% 15.68/10.82 (~((~v123(constB118, 2)) <=> v121(constB117, 2))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16056, 16055])).
% 15.68/10.82 tff(16058,plain,
% 15.68/10.82 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB117) <=> v26(constB117))),
% 15.68/10.82 inference(quant_inst,[status(thm)],[])).
% 15.68/10.82 tff(16059,plain,
% 15.68/10.82 (v105(constB117) <=> v26(constB117)),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16058, 861])).
% 15.68/10.82 tff(16060,plain,
% 15.68/10.82 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB117))),
% 15.68/10.82 inference(quant_inst,[status(thm)],[])).
% 15.68/10.82 tff(16061,plain,
% 15.68/10.82 (~v26(constB117)),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16060, 873])).
% 15.68/10.82 tff(16062,plain,
% 15.68/10.82 ((~(v105(constB117) <=> v26(constB117))) | (~v105(constB117)) | v26(constB117)),
% 15.68/10.82 inference(tautology,[status(thm)],[])).
% 15.68/10.82 tff(16063,plain,
% 15.68/10.82 ((~(v105(constB117) <=> v26(constB117))) | (~v105(constB117))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16062, 16061])).
% 15.68/10.82 tff(16064,plain,
% 15.68/10.82 (~v105(constB117)),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16063, 16059])).
% 15.68/10.82 tff(16065,plain,
% 15.68/10.82 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB117) | (~(((~v121(constB117, 2)) <=> v124(constB117, 2)) | ((~v121(constB117, 0)) <=> v124(constB117, 0)) | ((~v121(constB117, 1)) <=> v124(constB117, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB117) | (~(((~v121(constB117, 2)) <=> v124(constB117, 2)) | ((~v121(constB117, 0)) <=> v124(constB117, 0)) | ((~v121(constB117, 1)) <=> v124(constB117, 1)))))),
% 15.68/10.82 inference(rewrite,[status(thm)],[])).
% 15.68/10.82 tff(16066,plain,
% 15.68/10.82 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB117) | (~(((~v121(constB117, 2)) <=> v124(constB117, 2)) | ((~v121(constB117, 0)) <=> v124(constB117, 0)) | ((~v121(constB117, 1)) <=> v124(constB117, 1)))))),
% 15.68/10.82 inference(quant_inst,[status(thm)],[])).
% 15.68/10.82 tff(16067,plain,
% 15.68/10.82 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB117) | (~(((~v121(constB117, 2)) <=> v124(constB117, 2)) | ((~v121(constB117, 0)) <=> v124(constB117, 0)) | ((~v121(constB117, 1)) <=> v124(constB117, 1))))),
% 15.68/10.82 inference(modus_ponens,[status(thm)],[16066, 16065])).
% 15.68/10.82 tff(16068,plain,
% 15.68/10.82 (v105(constB117) | (~(((~v121(constB117, 2)) <=> v124(constB117, 2)) | ((~v121(constB117, 0)) <=> v124(constB117, 0)) | ((~v121(constB117, 1)) <=> v124(constB117, 1))))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16067, 891])).
% 15.68/10.82 tff(16069,plain,
% 15.68/10.82 (~(((~v121(constB117, 2)) <=> v124(constB117, 2)) | ((~v121(constB117, 0)) <=> v124(constB117, 0)) | ((~v121(constB117, 1)) <=> v124(constB117, 1)))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16068, 16064])).
% 15.68/10.82 tff(16070,plain,
% 15.68/10.82 ((((~v121(constB117, 2)) <=> v124(constB117, 2)) | ((~v121(constB117, 0)) <=> v124(constB117, 0)) | ((~v121(constB117, 1)) <=> v124(constB117, 1))) | (~((~v121(constB117, 2)) <=> v124(constB117, 2)))),
% 15.68/10.82 inference(tautology,[status(thm)],[])).
% 15.68/10.82 tff(16071,plain,
% 15.68/10.82 (~((~v121(constB117, 2)) <=> v124(constB117, 2))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16070, 16069])).
% 15.68/10.82 tff(16072,plain,
% 15.68/10.82 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB117) <=> (~(v84(constB117, 1) | v84(constB117, 2) | (~v84(constB117, 0)))))),
% 15.68/10.82 inference(quant_inst,[status(thm)],[])).
% 15.68/10.82 tff(16073,plain,
% 15.68/10.82 (v114(constB117) <=> (~(v84(constB117, 1) | v84(constB117, 2) | (~v84(constB117, 0))))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16072, 1064])).
% 15.68/10.82 tff(16074,plain,
% 15.68/10.82 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 15.68/10.82 inference(rewrite,[status(thm)],[])).
% 15.68/10.82 tff(16075,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_116')).
% 15.68/10.82 tff(16076,plain,
% 15.68/10.82 (nextState(constB116, constB117)),
% 15.68/10.82 inference(modus_ponens,[status(thm)],[16075, 16074])).
% 15.68/10.82 tff(16077,plain,
% 15.68/10.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB116, constB117)) | (v94(constB117) <=> (~((~v95(constB117)) | (~v104(constB117))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB116, constB117)) | (v94(constB117) <=> (~((~v95(constB117)) | (~v104(constB117))))))),
% 15.68/10.82 inference(rewrite,[status(thm)],[])).
% 15.68/10.82 tff(16078,plain,
% 15.68/10.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB116, constB117)) | (v94(constB117) <=> (~((~v95(constB117)) | (~v104(constB117))))))),
% 15.68/10.82 inference(quant_inst,[status(thm)],[])).
% 15.68/10.82 tff(16079,plain,
% 15.68/10.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB116, constB117)) | (v94(constB117) <=> (~((~v95(constB117)) | (~v104(constB117)))))),
% 15.68/10.82 inference(modus_ponens,[status(thm)],[16078, 16077])).
% 15.68/10.82 tff(16080,plain,
% 15.68/10.82 (v94(constB117) <=> (~((~v95(constB117)) | (~v104(constB117))))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16079, 16076, 770])).
% 15.68/10.82 tff(16081,plain,
% 15.68/10.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117))))))),
% 15.68/10.82 inference(rewrite,[status(thm)],[])).
% 15.68/10.82 tff(16082,plain,
% 15.68/10.82 (((~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v96(constB117)) | (~v1(constB117)))))) <=> ((~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117))))))),
% 15.68/10.82 inference(rewrite,[status(thm)],[])).
% 15.68/10.82 tff(16083,plain,
% 15.68/10.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v96(constB117)) | (~v1(constB117))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117)))))))),
% 15.68/10.82 inference(monotonicity,[status(thm)],[16082])).
% 15.68/10.82 tff(16084,plain,
% 15.68/10.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v96(constB117)) | (~v1(constB117))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117))))))),
% 15.68/10.82 inference(transitivity,[status(thm)],[16083, 16081])).
% 15.68/10.82 tff(16085,plain,
% 15.68/10.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v96(constB117)) | (~v1(constB117))))))),
% 15.68/10.82 inference(quant_inst,[status(thm)],[])).
% 15.68/10.82 tff(16086,plain,
% 15.68/10.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117)))))),
% 15.68/10.82 inference(modus_ponens,[status(thm)],[16085, 16084])).
% 15.68/10.82 tff(16087,plain,
% 15.68/10.82 (v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117))))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16086, 16076, 790])).
% 15.68/10.82 tff(16088,plain,
% 15.68/10.82 ((~v1(constB117)) <=> (~v1(constB117))),
% 15.68/10.82 inference(rewrite,[status(thm)],[])).
% 15.68/10.82 tff(16089,axiom,(~v1(constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_117')).
% 15.68/10.82 tff(16090,plain,
% 15.68/10.82 (~v1(constB117)),
% 15.68/10.82 inference(modus_ponens,[status(thm)],[16089, 16088])).
% 15.68/10.82 tff(16091,plain,
% 15.68/10.82 (((~v1(constB117)) | (~v96(constB117))) | v1(constB117)),
% 15.68/10.82 inference(tautology,[status(thm)],[])).
% 15.68/10.82 tff(16092,plain,
% 15.68/10.82 ((~v1(constB117)) | (~v96(constB117))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16091, 16090])).
% 15.68/10.82 tff(16093,plain,
% 15.68/10.82 ((~(v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117)))))) | (~v95(constB117)) | (~((~v1(constB117)) | (~v96(constB117))))),
% 15.68/10.82 inference(tautology,[status(thm)],[])).
% 15.68/10.82 tff(16094,plain,
% 15.68/10.82 ((~(v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117)))))) | (~v95(constB117))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16093, 16092])).
% 15.68/10.82 tff(16095,plain,
% 15.68/10.82 (~v95(constB117)),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16094, 16087])).
% 15.68/10.82 tff(16096,plain,
% 15.68/10.82 (((~v95(constB117)) | (~v104(constB117))) | v95(constB117)),
% 15.68/10.82 inference(tautology,[status(thm)],[])).
% 15.68/10.82 tff(16097,plain,
% 15.68/10.82 ((~v95(constB117)) | (~v104(constB117))),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16096, 16095])).
% 15.68/10.82 tff(16098,plain,
% 15.68/10.82 ((~(v94(constB117) <=> (~((~v95(constB117)) | (~v104(constB117)))))) | (~v94(constB117)) | (~((~v95(constB117)) | (~v104(constB117))))),
% 15.68/10.82 inference(tautology,[status(thm)],[])).
% 15.68/10.82 tff(16099,plain,
% 15.68/10.82 (~v94(constB117)),
% 15.68/10.82 inference(unit_resolution,[status(thm)],[16098, 16097, 16080])).
% 15.68/10.82 tff(16100,plain,
% 15.68/10.82 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB117) | (~nextState(constB116, constB117)) | (~(((~v84(constB117, 1)) <=> v84(constB116, 1)) | ((~v84(constB117, 2)) <=> v84(constB116, 2)) | ((~v84(constB117, 0)) <=> v84(constB116, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB117) | (~nextState(constB116, constB117)) | (~(((~v84(constB117, 1)) <=> v84(constB116, 1)) | ((~v84(constB117, 2)) <=> v84(constB116, 2)) | ((~v84(constB117, 0)) <=> v84(constB116, 0)))))),
% 15.68/10.83 inference(rewrite,[status(thm)],[])).
% 15.68/10.83 tff(16101,plain,
% 15.68/10.83 ((v94(constB117) | (~nextState(constB116, constB117)) | (~(((~v84(constB117, 2)) <=> v84(constB116, 2)) | ((~v84(constB117, 1)) <=> v84(constB116, 1)) | ((~v84(constB117, 0)) <=> v84(constB116, 0))))) <=> (v94(constB117) | (~nextState(constB116, constB117)) | (~(((~v84(constB117, 1)) <=> v84(constB116, 1)) | ((~v84(constB117, 2)) <=> v84(constB116, 2)) | ((~v84(constB117, 0)) <=> v84(constB116, 0)))))),
% 15.68/10.83 inference(rewrite,[status(thm)],[])).
% 15.68/10.83 tff(16102,plain,
% 15.68/10.83 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB117) | (~nextState(constB116, constB117)) | (~(((~v84(constB117, 2)) <=> v84(constB116, 2)) | ((~v84(constB117, 1)) <=> v84(constB116, 1)) | ((~v84(constB117, 0)) <=> v84(constB116, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB117) | (~nextState(constB116, constB117)) | (~(((~v84(constB117, 1)) <=> v84(constB116, 1)) | ((~v84(constB117, 2)) <=> v84(constB116, 2)) | ((~v84(constB117, 0)) <=> v84(constB116, 0))))))),
% 15.68/10.83 inference(monotonicity,[status(thm)],[16101])).
% 15.68/10.83 tff(16103,plain,
% 15.68/10.83 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB117) | (~nextState(constB116, constB117)) | (~(((~v84(constB117, 2)) <=> v84(constB116, 2)) | ((~v84(constB117, 1)) <=> v84(constB116, 1)) | ((~v84(constB117, 0)) <=> v84(constB116, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB117) | (~nextState(constB116, constB117)) | (~(((~v84(constB117, 1)) <=> v84(constB116, 1)) | ((~v84(constB117, 2)) <=> v84(constB116, 2)) | ((~v84(constB117, 0)) <=> v84(constB116, 0)))))),
% 15.68/10.83 inference(transitivity,[status(thm)],[16102, 16100])).
% 15.68/10.83 tff(16104,plain,
% 15.68/10.83 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB117) | (~nextState(constB116, constB117)) | (~(((~v84(constB117, 2)) <=> v84(constB116, 2)) | ((~v84(constB117, 1)) <=> v84(constB116, 1)) | ((~v84(constB117, 0)) <=> v84(constB116, 0)))))),
% 15.68/10.83 inference(quant_inst,[status(thm)],[])).
% 15.68/10.83 tff(16105,plain,
% 15.68/10.83 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB117) | (~nextState(constB116, constB117)) | (~(((~v84(constB117, 1)) <=> v84(constB116, 1)) | ((~v84(constB117, 2)) <=> v84(constB116, 2)) | ((~v84(constB117, 0)) <=> v84(constB116, 0))))),
% 15.68/10.83 inference(modus_ponens,[status(thm)],[16104, 16103])).
% 15.68/10.83 tff(16106,plain,
% 15.68/10.83 (v94(constB117) | (~(((~v84(constB117, 1)) <=> v84(constB116, 1)) | ((~v84(constB117, 2)) <=> v84(constB116, 2)) | ((~v84(constB117, 0)) <=> v84(constB116, 0))))),
% 15.68/10.83 inference(unit_resolution,[status(thm)],[16105, 16076, 819])).
% 15.68/10.83 tff(16107,plain,
% 15.68/10.83 (~(((~v84(constB117, 1)) <=> v84(constB116, 1)) | ((~v84(constB117, 2)) <=> v84(constB116, 2)) | ((~v84(constB117, 0)) <=> v84(constB116, 0)))),
% 15.68/10.83 inference(unit_resolution,[status(thm)],[16106, 16099])).
% 15.68/10.83 tff(16108,plain,
% 15.68/10.83 ((((~v84(constB117, 1)) <=> v84(constB116, 1)) | ((~v84(constB117, 2)) <=> v84(constB116, 2)) | ((~v84(constB117, 0)) <=> v84(constB116, 0))) | (~((~v84(constB117, 2)) <=> v84(constB116, 2)))),
% 15.68/10.83 inference(tautology,[status(thm)],[])).
% 15.68/10.83 tff(16109,plain,
% 15.68/10.83 (~((~v84(constB117, 2)) <=> v84(constB116, 2))),
% 15.68/10.83 inference(unit_resolution,[status(thm)],[16108, 16107])).
% 15.68/10.83 tff(16110,plain,
% 15.68/10.83 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 15.68/10.83 inference(rewrite,[status(thm)],[])).
% 15.68/10.83 tff(16111,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_115')).
% 15.68/10.83 tff(16112,plain,
% 15.68/10.83 (nextState(constB115, constB116)),
% 15.68/10.83 inference(modus_ponens,[status(thm)],[16111, 16110])).
% 15.68/10.83 tff(16113,plain,
% 15.68/10.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB115, constB116)) | (~(((~v123(constB116, 2)) <=> v121(constB115, 2)) | ((~v123(constB116, 1)) <=> v121(constB115, 1)) | ((~v123(constB116, 0)) <=> v121(constB115, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB115, constB116)) | (~(((~v123(constB116, 2)) <=> v121(constB115, 2)) | ((~v123(constB116, 1)) <=> v121(constB115, 1)) | ((~v123(constB116, 0)) <=> v121(constB115, 0)))))),
% 15.68/10.83 inference(rewrite,[status(thm)],[])).
% 15.68/10.83 tff(16114,plain,
% 15.68/10.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB115, constB116)) | (~(((~v123(constB116, 2)) <=> v121(constB115, 2)) | ((~v123(constB116, 1)) <=> v121(constB115, 1)) | ((~v123(constB116, 0)) <=> v121(constB115, 0)))))),
% 15.68/10.83 inference(quant_inst,[status(thm)],[])).
% 15.68/10.83 tff(16115,plain,
% 15.68/10.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB115, constB116)) | (~(((~v123(constB116, 2)) <=> v121(constB115, 2)) | ((~v123(constB116, 1)) <=> v121(constB115, 1)) | ((~v123(constB116, 0)) <=> v121(constB115, 0))))),
% 15.68/10.83 inference(modus_ponens,[status(thm)],[16114, 16113])).
% 15.68/10.83 tff(16116,plain,
% 15.68/10.83 (~(((~v123(constB116, 2)) <=> v121(constB115, 2)) | ((~v123(constB116, 1)) <=> v121(constB115, 1)) | ((~v123(constB116, 0)) <=> v121(constB115, 0)))),
% 15.68/10.83 inference(unit_resolution,[status(thm)],[16115, 16112, 842])).
% 15.68/10.83 tff(16117,plain,
% 15.68/10.83 ((((~v123(constB116, 2)) <=> v121(constB115, 2)) | ((~v123(constB116, 1)) <=> v121(constB115, 1)) | ((~v123(constB116, 0)) <=> v121(constB115, 0))) | (~((~v123(constB116, 2)) <=> v121(constB115, 2)))),
% 15.68/10.83 inference(tautology,[status(thm)],[])).
% 15.68/10.83 tff(16118,plain,
% 15.68/10.83 (~((~v123(constB116, 2)) <=> v121(constB115, 2))),
% 15.68/10.83 inference(unit_resolution,[status(thm)],[16117, 16116])).
% 15.68/10.83 tff(16119,plain,
% 15.68/10.83 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB115) <=> v26(constB115))),
% 15.68/10.83 inference(quant_inst,[status(thm)],[])).
% 15.68/10.83 tff(16120,plain,
% 15.68/10.83 (v105(constB115) <=> v26(constB115)),
% 15.68/10.83 inference(unit_resolution,[status(thm)],[16119, 861])).
% 15.68/10.83 tff(16121,plain,
% 15.68/10.83 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB115))),
% 15.68/10.83 inference(quant_inst,[status(thm)],[])).
% 15.68/10.83 tff(16122,plain,
% 15.68/10.83 (~v26(constB115)),
% 15.68/10.83 inference(unit_resolution,[status(thm)],[16121, 873])).
% 15.68/10.83 tff(16123,plain,
% 15.68/10.83 ((~(v105(constB115) <=> v26(constB115))) | (~v105(constB115)) | v26(constB115)),
% 15.68/10.83 inference(tautology,[status(thm)],[])).
% 15.68/10.83 tff(16124,plain,
% 15.68/10.83 ((~(v105(constB115) <=> v26(constB115))) | (~v105(constB115))),
% 15.68/10.83 inference(unit_resolution,[status(thm)],[16123, 16122])).
% 15.68/10.83 tff(16125,plain,
% 15.68/10.83 (~v105(constB115)),
% 15.68/10.83 inference(unit_resolution,[status(thm)],[16124, 16120])).
% 15.68/10.83 tff(16126,plain,
% 15.68/10.83 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB115) | (~(((~v121(constB115, 2)) <=> v124(constB115, 2)) | ((~v121(constB115, 0)) <=> v124(constB115, 0)) | ((~v121(constB115, 1)) <=> v124(constB115, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB115) | (~(((~v121(constB115, 2)) <=> v124(constB115, 2)) | ((~v121(constB115, 0)) <=> v124(constB115, 0)) | ((~v121(constB115, 1)) <=> v124(constB115, 1)))))),
% 15.68/10.83 inference(rewrite,[status(thm)],[])).
% 15.68/10.83 tff(16127,plain,
% 15.68/10.83 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB115) | (~(((~v121(constB115, 2)) <=> v124(constB115, 2)) | ((~v121(constB115, 0)) <=> v124(constB115, 0)) | ((~v121(constB115, 1)) <=> v124(constB115, 1)))))),
% 15.68/10.83 inference(quant_inst,[status(thm)],[])).
% 15.68/10.83 tff(16128,plain,
% 15.68/10.83 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB115) | (~(((~v121(constB115, 2)) <=> v124(constB115, 2)) | ((~v121(constB115, 0)) <=> v124(constB115, 0)) | ((~v121(constB115, 1)) <=> v124(constB115, 1))))),
% 15.68/10.83 inference(modus_ponens,[status(thm)],[16127, 16126])).
% 15.68/10.83 tff(16129,plain,
% 15.68/10.83 (v105(constB115) | (~(((~v121(constB115, 2)) <=> v124(constB115, 2)) | ((~v121(constB115, 0)) <=> v124(constB115, 0)) | ((~v121(constB115, 1)) <=> v124(constB115, 1))))),
% 15.68/10.83 inference(unit_resolution,[status(thm)],[16128, 891])).
% 15.68/10.83 tff(16130,plain,
% 15.68/10.83 (~(((~v121(constB115, 2)) <=> v124(constB115, 2)) | ((~v121(constB115, 0)) <=> v124(constB115, 0)) | ((~v121(constB115, 1)) <=> v124(constB115, 1)))),
% 15.68/10.83 inference(unit_resolution,[status(thm)],[16129, 16125])).
% 15.68/10.83 tff(16131,plain,
% 15.68/10.83 ((((~v121(constB115, 2)) <=> v124(constB115, 2)) | ((~v121(constB115, 0)) <=> v124(constB115, 0)) | ((~v121(constB115, 1)) <=> v124(constB115, 1))) | (~((~v121(constB115, 2)) <=> v124(constB115, 2)))),
% 15.68/10.83 inference(tautology,[status(thm)],[])).
% 15.68/10.83 tff(16132,plain,
% 15.68/10.83 (~((~v121(constB115, 2)) <=> v124(constB115, 2))),
% 15.68/10.83 inference(unit_resolution,[status(thm)],[16131, 16130])).
% 15.68/10.83 tff(16133,plain,
% 15.68/10.83 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB115) <=> (~(v84(constB115, 1) | v84(constB115, 2) | (~v84(constB115, 0)))))),
% 15.68/10.83 inference(quant_inst,[status(thm)],[])).
% 15.68/10.83 tff(16134,plain,
% 15.68/10.83 (v114(constB115) <=> (~(v84(constB115, 1) | v84(constB115, 2) | (~v84(constB115, 0))))),
% 15.68/10.83 inference(unit_resolution,[status(thm)],[16133, 1064])).
% 15.68/10.83 tff(16135,plain,
% 15.68/10.83 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 15.68/10.83 inference(rewrite,[status(thm)],[])).
% 15.68/10.83 tff(16136,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_114')).
% 15.68/10.83 tff(16137,plain,
% 15.68/10.83 (nextState(constB114, constB115)),
% 15.68/10.83 inference(modus_ponens,[status(thm)],[16136, 16135])).
% 15.68/10.83 tff(16138,plain,
% 15.68/10.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB114, constB115)) | (v94(constB115) <=> (~((~v95(constB115)) | (~v104(constB115))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB114, constB115)) | (v94(constB115) <=> (~((~v95(constB115)) | (~v104(constB115))))))),
% 15.68/10.83 inference(rewrite,[status(thm)],[])).
% 15.68/10.83 tff(16139,plain,
% 15.68/10.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB114, constB115)) | (v94(constB115) <=> (~((~v95(constB115)) | (~v104(constB115))))))),
% 15.68/10.83 inference(quant_inst,[status(thm)],[])).
% 15.68/10.83 tff(16140,plain,
% 15.68/10.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB114, constB115)) | (v94(constB115) <=> (~((~v95(constB115)) | (~v104(constB115)))))),
% 15.68/10.83 inference(modus_ponens,[status(thm)],[16139, 16138])).
% 15.68/10.83 tff(16141,plain,
% 15.68/10.83 (v94(constB115) <=> (~((~v95(constB115)) | (~v104(constB115))))),
% 15.68/10.83 inference(unit_resolution,[status(thm)],[16140, 16137, 770])).
% 15.68/10.83 tff(16142,plain,
% 15.68/10.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115))))))),
% 15.68/10.83 inference(rewrite,[status(thm)],[])).
% 15.68/10.83 tff(16143,plain,
% 15.68/10.83 (((~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v96(constB115)) | (~v1(constB115)))))) <=> ((~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115))))))),
% 15.68/10.83 inference(rewrite,[status(thm)],[])).
% 15.68/10.83 tff(16144,plain,
% 15.68/10.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v96(constB115)) | (~v1(constB115))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115)))))))),
% 15.68/10.83 inference(monotonicity,[status(thm)],[16143])).
% 15.68/10.83 tff(16145,plain,
% 15.68/10.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v96(constB115)) | (~v1(constB115))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115))))))),
% 15.68/10.83 inference(transitivity,[status(thm)],[16144, 16142])).
% 15.68/10.83 tff(16146,plain,
% 15.68/10.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v96(constB115)) | (~v1(constB115))))))),
% 15.68/10.83 inference(quant_inst,[status(thm)],[])).
% 15.68/10.83 tff(16147,plain,
% 15.68/10.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115)))))),
% 15.68/10.83 inference(modus_ponens,[status(thm)],[16146, 16145])).
% 15.68/10.83 tff(16148,plain,
% 15.68/10.83 (v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115))))),
% 15.68/10.83 inference(unit_resolution,[status(thm)],[16147, 16137, 790])).
% 15.68/10.83 tff(16149,plain,
% 15.68/10.83 ((~v1(constB115)) <=> (~v1(constB115))),
% 15.68/10.84 inference(rewrite,[status(thm)],[])).
% 15.68/10.84 tff(16150,axiom,(~v1(constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_115')).
% 15.68/10.84 tff(16151,plain,
% 15.68/10.84 (~v1(constB115)),
% 15.68/10.84 inference(modus_ponens,[status(thm)],[16150, 16149])).
% 15.68/10.84 tff(16152,plain,
% 15.68/10.84 (((~v1(constB115)) | (~v96(constB115))) | v1(constB115)),
% 15.68/10.84 inference(tautology,[status(thm)],[])).
% 15.68/10.84 tff(16153,plain,
% 15.68/10.84 ((~v1(constB115)) | (~v96(constB115))),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16152, 16151])).
% 15.68/10.84 tff(16154,plain,
% 15.68/10.84 ((~(v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115)))))) | (~v95(constB115)) | (~((~v1(constB115)) | (~v96(constB115))))),
% 15.68/10.84 inference(tautology,[status(thm)],[])).
% 15.68/10.84 tff(16155,plain,
% 15.68/10.84 ((~(v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115)))))) | (~v95(constB115))),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16154, 16153])).
% 15.68/10.84 tff(16156,plain,
% 15.68/10.84 (~v95(constB115)),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16155, 16148])).
% 15.68/10.84 tff(16157,plain,
% 15.68/10.84 (((~v95(constB115)) | (~v104(constB115))) | v95(constB115)),
% 15.68/10.84 inference(tautology,[status(thm)],[])).
% 15.68/10.84 tff(16158,plain,
% 15.68/10.84 ((~v95(constB115)) | (~v104(constB115))),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16157, 16156])).
% 15.68/10.84 tff(16159,plain,
% 15.68/10.84 ((~(v94(constB115) <=> (~((~v95(constB115)) | (~v104(constB115)))))) | (~v94(constB115)) | (~((~v95(constB115)) | (~v104(constB115))))),
% 15.68/10.84 inference(tautology,[status(thm)],[])).
% 15.68/10.84 tff(16160,plain,
% 15.68/10.84 (~v94(constB115)),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16159, 16158, 16141])).
% 15.68/10.84 tff(16161,plain,
% 15.68/10.84 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB115) | (~nextState(constB114, constB115)) | (~(((~v84(constB115, 1)) <=> v84(constB114, 1)) | ((~v84(constB115, 2)) <=> v84(constB114, 2)) | ((~v84(constB115, 0)) <=> v84(constB114, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB115) | (~nextState(constB114, constB115)) | (~(((~v84(constB115, 1)) <=> v84(constB114, 1)) | ((~v84(constB115, 2)) <=> v84(constB114, 2)) | ((~v84(constB115, 0)) <=> v84(constB114, 0)))))),
% 15.68/10.84 inference(rewrite,[status(thm)],[])).
% 15.68/10.84 tff(16162,plain,
% 15.68/10.84 ((v94(constB115) | (~nextState(constB114, constB115)) | (~(((~v84(constB115, 2)) <=> v84(constB114, 2)) | ((~v84(constB115, 1)) <=> v84(constB114, 1)) | ((~v84(constB115, 0)) <=> v84(constB114, 0))))) <=> (v94(constB115) | (~nextState(constB114, constB115)) | (~(((~v84(constB115, 1)) <=> v84(constB114, 1)) | ((~v84(constB115, 2)) <=> v84(constB114, 2)) | ((~v84(constB115, 0)) <=> v84(constB114, 0)))))),
% 15.68/10.84 inference(rewrite,[status(thm)],[])).
% 15.68/10.84 tff(16163,plain,
% 15.68/10.84 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB115) | (~nextState(constB114, constB115)) | (~(((~v84(constB115, 2)) <=> v84(constB114, 2)) | ((~v84(constB115, 1)) <=> v84(constB114, 1)) | ((~v84(constB115, 0)) <=> v84(constB114, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB115) | (~nextState(constB114, constB115)) | (~(((~v84(constB115, 1)) <=> v84(constB114, 1)) | ((~v84(constB115, 2)) <=> v84(constB114, 2)) | ((~v84(constB115, 0)) <=> v84(constB114, 0))))))),
% 15.68/10.84 inference(monotonicity,[status(thm)],[16162])).
% 15.68/10.84 tff(16164,plain,
% 15.68/10.84 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB115) | (~nextState(constB114, constB115)) | (~(((~v84(constB115, 2)) <=> v84(constB114, 2)) | ((~v84(constB115, 1)) <=> v84(constB114, 1)) | ((~v84(constB115, 0)) <=> v84(constB114, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB115) | (~nextState(constB114, constB115)) | (~(((~v84(constB115, 1)) <=> v84(constB114, 1)) | ((~v84(constB115, 2)) <=> v84(constB114, 2)) | ((~v84(constB115, 0)) <=> v84(constB114, 0)))))),
% 15.68/10.84 inference(transitivity,[status(thm)],[16163, 16161])).
% 15.68/10.84 tff(16165,plain,
% 15.68/10.84 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB115) | (~nextState(constB114, constB115)) | (~(((~v84(constB115, 2)) <=> v84(constB114, 2)) | ((~v84(constB115, 1)) <=> v84(constB114, 1)) | ((~v84(constB115, 0)) <=> v84(constB114, 0)))))),
% 15.68/10.84 inference(quant_inst,[status(thm)],[])).
% 15.68/10.84 tff(16166,plain,
% 15.68/10.84 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB115) | (~nextState(constB114, constB115)) | (~(((~v84(constB115, 1)) <=> v84(constB114, 1)) | ((~v84(constB115, 2)) <=> v84(constB114, 2)) | ((~v84(constB115, 0)) <=> v84(constB114, 0))))),
% 15.68/10.84 inference(modus_ponens,[status(thm)],[16165, 16164])).
% 15.68/10.84 tff(16167,plain,
% 15.68/10.84 (v94(constB115) | (~(((~v84(constB115, 1)) <=> v84(constB114, 1)) | ((~v84(constB115, 2)) <=> v84(constB114, 2)) | ((~v84(constB115, 0)) <=> v84(constB114, 0))))),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16166, 16137, 819])).
% 15.68/10.84 tff(16168,plain,
% 15.68/10.84 (~(((~v84(constB115, 1)) <=> v84(constB114, 1)) | ((~v84(constB115, 2)) <=> v84(constB114, 2)) | ((~v84(constB115, 0)) <=> v84(constB114, 0)))),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16167, 16160])).
% 15.68/10.84 tff(16169,plain,
% 15.68/10.84 ((((~v84(constB115, 1)) <=> v84(constB114, 1)) | ((~v84(constB115, 2)) <=> v84(constB114, 2)) | ((~v84(constB115, 0)) <=> v84(constB114, 0))) | (~((~v84(constB115, 0)) <=> v84(constB114, 0)))),
% 15.68/10.84 inference(tautology,[status(thm)],[])).
% 15.68/10.84 tff(16170,plain,
% 15.68/10.84 (~((~v84(constB115, 0)) <=> v84(constB114, 0))),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16169, 16168])).
% 15.68/10.84 tff(16171,plain,
% 15.68/10.84 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 15.68/10.84 inference(rewrite,[status(thm)],[])).
% 15.68/10.84 tff(16172,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_113')).
% 15.68/10.84 tff(16173,plain,
% 15.68/10.84 (nextState(constB113, constB114)),
% 15.68/10.84 inference(modus_ponens,[status(thm)],[16172, 16171])).
% 15.68/10.84 tff(16174,plain,
% 15.68/10.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB113, constB114)) | (~(((~v123(constB114, 2)) <=> v121(constB113, 2)) | ((~v123(constB114, 1)) <=> v121(constB113, 1)) | ((~v123(constB114, 0)) <=> v121(constB113, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB113, constB114)) | (~(((~v123(constB114, 2)) <=> v121(constB113, 2)) | ((~v123(constB114, 1)) <=> v121(constB113, 1)) | ((~v123(constB114, 0)) <=> v121(constB113, 0)))))),
% 15.68/10.84 inference(rewrite,[status(thm)],[])).
% 15.68/10.84 tff(16175,plain,
% 15.68/10.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB113, constB114)) | (~(((~v123(constB114, 2)) <=> v121(constB113, 2)) | ((~v123(constB114, 1)) <=> v121(constB113, 1)) | ((~v123(constB114, 0)) <=> v121(constB113, 0)))))),
% 15.68/10.84 inference(quant_inst,[status(thm)],[])).
% 15.68/10.84 tff(16176,plain,
% 15.68/10.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB113, constB114)) | (~(((~v123(constB114, 2)) <=> v121(constB113, 2)) | ((~v123(constB114, 1)) <=> v121(constB113, 1)) | ((~v123(constB114, 0)) <=> v121(constB113, 0))))),
% 15.68/10.84 inference(modus_ponens,[status(thm)],[16175, 16174])).
% 15.68/10.84 tff(16177,plain,
% 15.68/10.84 (~(((~v123(constB114, 2)) <=> v121(constB113, 2)) | ((~v123(constB114, 1)) <=> v121(constB113, 1)) | ((~v123(constB114, 0)) <=> v121(constB113, 0)))),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16176, 16173, 842])).
% 15.68/10.84 tff(16178,plain,
% 15.68/10.84 ((((~v123(constB114, 2)) <=> v121(constB113, 2)) | ((~v123(constB114, 1)) <=> v121(constB113, 1)) | ((~v123(constB114, 0)) <=> v121(constB113, 0))) | (~((~v123(constB114, 0)) <=> v121(constB113, 0)))),
% 15.68/10.84 inference(tautology,[status(thm)],[])).
% 15.68/10.84 tff(16179,plain,
% 15.68/10.84 (~((~v123(constB114, 0)) <=> v121(constB113, 0))),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16178, 16177])).
% 15.68/10.84 tff(16180,plain,
% 15.68/10.84 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB113) <=> v26(constB113))),
% 15.68/10.84 inference(quant_inst,[status(thm)],[])).
% 15.68/10.84 tff(16181,plain,
% 15.68/10.84 (v105(constB113) <=> v26(constB113)),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16180, 861])).
% 15.68/10.84 tff(16182,plain,
% 15.68/10.84 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB113))),
% 15.68/10.84 inference(quant_inst,[status(thm)],[])).
% 15.68/10.84 tff(16183,plain,
% 15.68/10.84 (~v26(constB113)),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16182, 873])).
% 15.68/10.84 tff(16184,plain,
% 15.68/10.84 ((~(v105(constB113) <=> v26(constB113))) | (~v105(constB113)) | v26(constB113)),
% 15.68/10.84 inference(tautology,[status(thm)],[])).
% 15.68/10.84 tff(16185,plain,
% 15.68/10.84 ((~(v105(constB113) <=> v26(constB113))) | (~v105(constB113))),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16184, 16183])).
% 15.68/10.84 tff(16186,plain,
% 15.68/10.84 (~v105(constB113)),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16185, 16181])).
% 15.68/10.84 tff(16187,plain,
% 15.68/10.84 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB113) | (~(((~v121(constB113, 2)) <=> v124(constB113, 2)) | ((~v121(constB113, 0)) <=> v124(constB113, 0)) | ((~v121(constB113, 1)) <=> v124(constB113, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB113) | (~(((~v121(constB113, 2)) <=> v124(constB113, 2)) | ((~v121(constB113, 0)) <=> v124(constB113, 0)) | ((~v121(constB113, 1)) <=> v124(constB113, 1)))))),
% 15.68/10.84 inference(rewrite,[status(thm)],[])).
% 15.68/10.84 tff(16188,plain,
% 15.68/10.84 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB113) | (~(((~v121(constB113, 2)) <=> v124(constB113, 2)) | ((~v121(constB113, 0)) <=> v124(constB113, 0)) | ((~v121(constB113, 1)) <=> v124(constB113, 1)))))),
% 15.68/10.84 inference(quant_inst,[status(thm)],[])).
% 15.68/10.84 tff(16189,plain,
% 15.68/10.84 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB113) | (~(((~v121(constB113, 2)) <=> v124(constB113, 2)) | ((~v121(constB113, 0)) <=> v124(constB113, 0)) | ((~v121(constB113, 1)) <=> v124(constB113, 1))))),
% 15.68/10.84 inference(modus_ponens,[status(thm)],[16188, 16187])).
% 15.68/10.84 tff(16190,plain,
% 15.68/10.84 (v105(constB113) | (~(((~v121(constB113, 2)) <=> v124(constB113, 2)) | ((~v121(constB113, 0)) <=> v124(constB113, 0)) | ((~v121(constB113, 1)) <=> v124(constB113, 1))))),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16189, 891])).
% 15.68/10.84 tff(16191,plain,
% 15.68/10.84 (~(((~v121(constB113, 2)) <=> v124(constB113, 2)) | ((~v121(constB113, 0)) <=> v124(constB113, 0)) | ((~v121(constB113, 1)) <=> v124(constB113, 1)))),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16190, 16186])).
% 15.68/10.84 tff(16192,plain,
% 15.68/10.84 ((((~v121(constB113, 2)) <=> v124(constB113, 2)) | ((~v121(constB113, 0)) <=> v124(constB113, 0)) | ((~v121(constB113, 1)) <=> v124(constB113, 1))) | (~((~v121(constB113, 0)) <=> v124(constB113, 0)))),
% 15.68/10.84 inference(tautology,[status(thm)],[])).
% 15.68/10.84 tff(16193,plain,
% 15.68/10.84 (~((~v121(constB113, 0)) <=> v124(constB113, 0))),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16192, 16191])).
% 15.68/10.84 tff(16194,plain,
% 15.68/10.84 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB113) <=> (~(v84(constB113, 1) | v84(constB113, 0) | (~v84(constB113, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB113) <=> (~(v84(constB113, 1) | v84(constB113, 0) | (~v84(constB113, 2))))))),
% 15.68/10.84 inference(rewrite,[status(thm)],[])).
% 15.68/10.84 tff(16195,plain,
% 15.68/10.84 ((v117(constB113) <=> (~(v84(constB113, 0) | v84(constB113, 1) | (~v84(constB113, 2))))) <=> (v117(constB113) <=> (~(v84(constB113, 1) | v84(constB113, 0) | (~v84(constB113, 2)))))),
% 15.68/10.84 inference(rewrite,[status(thm)],[])).
% 15.68/10.84 tff(16196,plain,
% 15.68/10.84 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB113) <=> (~(v84(constB113, 0) | v84(constB113, 1) | (~v84(constB113, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB113) <=> (~(v84(constB113, 1) | v84(constB113, 0) | (~v84(constB113, 2))))))),
% 15.68/10.84 inference(monotonicity,[status(thm)],[16195])).
% 15.68/10.84 tff(16197,plain,
% 15.68/10.84 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB113) <=> (~(v84(constB113, 0) | v84(constB113, 1) | (~v84(constB113, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB113) <=> (~(v84(constB113, 1) | v84(constB113, 0) | (~v84(constB113, 2))))))),
% 15.68/10.84 inference(transitivity,[status(thm)],[16196, 16194])).
% 15.68/10.84 tff(16198,plain,
% 15.68/10.84 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB113) <=> (~(v84(constB113, 0) | v84(constB113, 1) | (~v84(constB113, 2)))))),
% 15.68/10.84 inference(quant_inst,[status(thm)],[])).
% 15.68/10.84 tff(16199,plain,
% 15.68/10.84 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB113) <=> (~(v84(constB113, 1) | v84(constB113, 0) | (~v84(constB113, 2)))))),
% 15.68/10.84 inference(modus_ponens,[status(thm)],[16198, 16197])).
% 15.68/10.84 tff(16200,plain,
% 15.68/10.84 (v117(constB113) <=> (~(v84(constB113, 1) | v84(constB113, 0) | (~v84(constB113, 2))))),
% 15.68/10.84 inference(unit_resolution,[status(thm)],[16199, 1199])).
% 15.68/10.84 tff(16201,plain,
% 15.68/10.84 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 15.68/10.84 inference(rewrite,[status(thm)],[])).
% 15.68/10.84 tff(16202,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_112')).
% 15.68/10.84 tff(16203,plain,
% 15.68/10.84 (nextState(constB112, constB113)),
% 15.68/10.84 inference(modus_ponens,[status(thm)],[16202, 16201])).
% 15.68/10.84 tff(16204,plain,
% 15.68/10.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB112, constB113)) | (v94(constB113) <=> (~((~v95(constB113)) | (~v104(constB113))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB112, constB113)) | (v94(constB113) <=> (~((~v95(constB113)) | (~v104(constB113))))))),
% 15.68/10.85 inference(rewrite,[status(thm)],[])).
% 15.68/10.85 tff(16205,plain,
% 15.68/10.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB112, constB113)) | (v94(constB113) <=> (~((~v95(constB113)) | (~v104(constB113))))))),
% 15.68/10.85 inference(quant_inst,[status(thm)],[])).
% 15.68/10.85 tff(16206,plain,
% 15.68/10.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB112, constB113)) | (v94(constB113) <=> (~((~v95(constB113)) | (~v104(constB113)))))),
% 15.68/10.85 inference(modus_ponens,[status(thm)],[16205, 16204])).
% 15.68/10.85 tff(16207,plain,
% 15.68/10.85 (v94(constB113) <=> (~((~v95(constB113)) | (~v104(constB113))))),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16206, 16203, 770])).
% 15.68/10.85 tff(16208,plain,
% 15.68/10.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113))))))),
% 15.68/10.85 inference(rewrite,[status(thm)],[])).
% 15.68/10.85 tff(16209,plain,
% 15.68/10.85 (((~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v96(constB113)) | (~v1(constB113)))))) <=> ((~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113))))))),
% 15.68/10.85 inference(rewrite,[status(thm)],[])).
% 15.68/10.85 tff(16210,plain,
% 15.68/10.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v96(constB113)) | (~v1(constB113))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113)))))))),
% 15.68/10.85 inference(monotonicity,[status(thm)],[16209])).
% 15.68/10.85 tff(16211,plain,
% 15.68/10.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v96(constB113)) | (~v1(constB113))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113))))))),
% 15.68/10.85 inference(transitivity,[status(thm)],[16210, 16208])).
% 15.68/10.85 tff(16212,plain,
% 15.68/10.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v96(constB113)) | (~v1(constB113))))))),
% 15.68/10.85 inference(quant_inst,[status(thm)],[])).
% 15.68/10.85 tff(16213,plain,
% 15.68/10.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113)))))),
% 15.68/10.85 inference(modus_ponens,[status(thm)],[16212, 16211])).
% 15.68/10.85 tff(16214,plain,
% 15.68/10.85 (v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113))))),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16213, 16203, 790])).
% 15.68/10.85 tff(16215,plain,
% 15.68/10.85 ((~v1(constB113)) <=> (~v1(constB113))),
% 15.68/10.85 inference(rewrite,[status(thm)],[])).
% 15.68/10.85 tff(16216,axiom,(~v1(constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_113')).
% 15.68/10.85 tff(16217,plain,
% 15.68/10.85 (~v1(constB113)),
% 15.68/10.85 inference(modus_ponens,[status(thm)],[16216, 16215])).
% 15.68/10.85 tff(16218,plain,
% 15.68/10.85 (((~v1(constB113)) | (~v96(constB113))) | v1(constB113)),
% 15.68/10.85 inference(tautology,[status(thm)],[])).
% 15.68/10.85 tff(16219,plain,
% 15.68/10.85 ((~v1(constB113)) | (~v96(constB113))),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16218, 16217])).
% 15.68/10.85 tff(16220,plain,
% 15.68/10.85 ((~(v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113)))))) | (~v95(constB113)) | (~((~v1(constB113)) | (~v96(constB113))))),
% 15.68/10.85 inference(tautology,[status(thm)],[])).
% 15.68/10.85 tff(16221,plain,
% 15.68/10.85 ((~(v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113)))))) | (~v95(constB113))),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16220, 16219])).
% 15.68/10.85 tff(16222,plain,
% 15.68/10.85 (~v95(constB113)),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16221, 16214])).
% 15.68/10.85 tff(16223,plain,
% 15.68/10.85 (((~v95(constB113)) | (~v104(constB113))) | v95(constB113)),
% 15.68/10.85 inference(tautology,[status(thm)],[])).
% 15.68/10.85 tff(16224,plain,
% 15.68/10.85 ((~v95(constB113)) | (~v104(constB113))),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16223, 16222])).
% 15.68/10.85 tff(16225,plain,
% 15.68/10.85 ((~(v94(constB113) <=> (~((~v95(constB113)) | (~v104(constB113)))))) | (~v94(constB113)) | (~((~v95(constB113)) | (~v104(constB113))))),
% 15.68/10.85 inference(tautology,[status(thm)],[])).
% 15.68/10.85 tff(16226,plain,
% 15.68/10.85 (~v94(constB113)),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16225, 16224, 16207])).
% 15.68/10.85 tff(16227,plain,
% 15.68/10.85 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB113) | (~nextState(constB112, constB113)) | (~(((~v84(constB113, 1)) <=> v84(constB112, 1)) | ((~v84(constB113, 2)) <=> v84(constB112, 2)) | ((~v84(constB113, 0)) <=> v84(constB112, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB113) | (~nextState(constB112, constB113)) | (~(((~v84(constB113, 1)) <=> v84(constB112, 1)) | ((~v84(constB113, 2)) <=> v84(constB112, 2)) | ((~v84(constB113, 0)) <=> v84(constB112, 0)))))),
% 15.68/10.85 inference(rewrite,[status(thm)],[])).
% 15.68/10.85 tff(16228,plain,
% 15.68/10.85 ((v94(constB113) | (~nextState(constB112, constB113)) | (~(((~v84(constB113, 2)) <=> v84(constB112, 2)) | ((~v84(constB113, 1)) <=> v84(constB112, 1)) | ((~v84(constB113, 0)) <=> v84(constB112, 0))))) <=> (v94(constB113) | (~nextState(constB112, constB113)) | (~(((~v84(constB113, 1)) <=> v84(constB112, 1)) | ((~v84(constB113, 2)) <=> v84(constB112, 2)) | ((~v84(constB113, 0)) <=> v84(constB112, 0)))))),
% 15.68/10.85 inference(rewrite,[status(thm)],[])).
% 15.68/10.85 tff(16229,plain,
% 15.68/10.85 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB113) | (~nextState(constB112, constB113)) | (~(((~v84(constB113, 2)) <=> v84(constB112, 2)) | ((~v84(constB113, 1)) <=> v84(constB112, 1)) | ((~v84(constB113, 0)) <=> v84(constB112, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB113) | (~nextState(constB112, constB113)) | (~(((~v84(constB113, 1)) <=> v84(constB112, 1)) | ((~v84(constB113, 2)) <=> v84(constB112, 2)) | ((~v84(constB113, 0)) <=> v84(constB112, 0))))))),
% 15.68/10.85 inference(monotonicity,[status(thm)],[16228])).
% 15.68/10.85 tff(16230,plain,
% 15.68/10.85 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB113) | (~nextState(constB112, constB113)) | (~(((~v84(constB113, 2)) <=> v84(constB112, 2)) | ((~v84(constB113, 1)) <=> v84(constB112, 1)) | ((~v84(constB113, 0)) <=> v84(constB112, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB113) | (~nextState(constB112, constB113)) | (~(((~v84(constB113, 1)) <=> v84(constB112, 1)) | ((~v84(constB113, 2)) <=> v84(constB112, 2)) | ((~v84(constB113, 0)) <=> v84(constB112, 0)))))),
% 15.68/10.85 inference(transitivity,[status(thm)],[16229, 16227])).
% 15.68/10.85 tff(16231,plain,
% 15.68/10.85 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB113) | (~nextState(constB112, constB113)) | (~(((~v84(constB113, 2)) <=> v84(constB112, 2)) | ((~v84(constB113, 1)) <=> v84(constB112, 1)) | ((~v84(constB113, 0)) <=> v84(constB112, 0)))))),
% 15.68/10.85 inference(quant_inst,[status(thm)],[])).
% 15.68/10.85 tff(16232,plain,
% 15.68/10.85 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB113) | (~nextState(constB112, constB113)) | (~(((~v84(constB113, 1)) <=> v84(constB112, 1)) | ((~v84(constB113, 2)) <=> v84(constB112, 2)) | ((~v84(constB113, 0)) <=> v84(constB112, 0))))),
% 15.68/10.85 inference(modus_ponens,[status(thm)],[16231, 16230])).
% 15.68/10.85 tff(16233,plain,
% 15.68/10.85 (v94(constB113) | (~(((~v84(constB113, 1)) <=> v84(constB112, 1)) | ((~v84(constB113, 2)) <=> v84(constB112, 2)) | ((~v84(constB113, 0)) <=> v84(constB112, 0))))),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16232, 16203, 819])).
% 15.68/10.85 tff(16234,plain,
% 15.68/10.85 (~(((~v84(constB113, 1)) <=> v84(constB112, 1)) | ((~v84(constB113, 2)) <=> v84(constB112, 2)) | ((~v84(constB113, 0)) <=> v84(constB112, 0)))),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16233, 16226])).
% 15.68/10.85 tff(16235,plain,
% 15.68/10.85 ((((~v84(constB113, 1)) <=> v84(constB112, 1)) | ((~v84(constB113, 2)) <=> v84(constB112, 2)) | ((~v84(constB113, 0)) <=> v84(constB112, 0))) | (~((~v84(constB113, 2)) <=> v84(constB112, 2)))),
% 15.68/10.85 inference(tautology,[status(thm)],[])).
% 15.68/10.85 tff(16236,plain,
% 15.68/10.85 (~((~v84(constB113, 2)) <=> v84(constB112, 2))),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16235, 16234])).
% 15.68/10.85 tff(16237,plain,
% 15.68/10.85 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 15.68/10.85 inference(rewrite,[status(thm)],[])).
% 15.68/10.85 tff(16238,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_111')).
% 15.68/10.85 tff(16239,plain,
% 15.68/10.85 (nextState(constB111, constB112)),
% 15.68/10.85 inference(modus_ponens,[status(thm)],[16238, 16237])).
% 15.68/10.85 tff(16240,plain,
% 15.68/10.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB111, constB112)) | (~(((~v123(constB112, 2)) <=> v121(constB111, 2)) | ((~v123(constB112, 1)) <=> v121(constB111, 1)) | ((~v123(constB112, 0)) <=> v121(constB111, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB111, constB112)) | (~(((~v123(constB112, 2)) <=> v121(constB111, 2)) | ((~v123(constB112, 1)) <=> v121(constB111, 1)) | ((~v123(constB112, 0)) <=> v121(constB111, 0)))))),
% 15.68/10.85 inference(rewrite,[status(thm)],[])).
% 15.68/10.85 tff(16241,plain,
% 15.68/10.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB111, constB112)) | (~(((~v123(constB112, 2)) <=> v121(constB111, 2)) | ((~v123(constB112, 1)) <=> v121(constB111, 1)) | ((~v123(constB112, 0)) <=> v121(constB111, 0)))))),
% 15.68/10.85 inference(quant_inst,[status(thm)],[])).
% 15.68/10.85 tff(16242,plain,
% 15.68/10.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB111, constB112)) | (~(((~v123(constB112, 2)) <=> v121(constB111, 2)) | ((~v123(constB112, 1)) <=> v121(constB111, 1)) | ((~v123(constB112, 0)) <=> v121(constB111, 0))))),
% 15.68/10.85 inference(modus_ponens,[status(thm)],[16241, 16240])).
% 15.68/10.85 tff(16243,plain,
% 15.68/10.85 (~(((~v123(constB112, 2)) <=> v121(constB111, 2)) | ((~v123(constB112, 1)) <=> v121(constB111, 1)) | ((~v123(constB112, 0)) <=> v121(constB111, 0)))),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16242, 16239, 842])).
% 15.68/10.85 tff(16244,plain,
% 15.68/10.85 ((((~v123(constB112, 2)) <=> v121(constB111, 2)) | ((~v123(constB112, 1)) <=> v121(constB111, 1)) | ((~v123(constB112, 0)) <=> v121(constB111, 0))) | (~((~v123(constB112, 2)) <=> v121(constB111, 2)))),
% 15.68/10.85 inference(tautology,[status(thm)],[])).
% 15.68/10.85 tff(16245,plain,
% 15.68/10.85 (~((~v123(constB112, 2)) <=> v121(constB111, 2))),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16244, 16243])).
% 15.68/10.85 tff(16246,plain,
% 15.68/10.85 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB111) <=> v26(constB111))),
% 15.68/10.85 inference(quant_inst,[status(thm)],[])).
% 15.68/10.85 tff(16247,plain,
% 15.68/10.85 (v105(constB111) <=> v26(constB111)),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16246, 861])).
% 15.68/10.85 tff(16248,plain,
% 15.68/10.85 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB111))),
% 15.68/10.85 inference(quant_inst,[status(thm)],[])).
% 15.68/10.85 tff(16249,plain,
% 15.68/10.85 (~v26(constB111)),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16248, 873])).
% 15.68/10.85 tff(16250,plain,
% 15.68/10.85 ((~(v105(constB111) <=> v26(constB111))) | (~v105(constB111)) | v26(constB111)),
% 15.68/10.85 inference(tautology,[status(thm)],[])).
% 15.68/10.85 tff(16251,plain,
% 15.68/10.85 ((~(v105(constB111) <=> v26(constB111))) | (~v105(constB111))),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16250, 16249])).
% 15.68/10.85 tff(16252,plain,
% 15.68/10.85 (~v105(constB111)),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16251, 16247])).
% 15.68/10.85 tff(16253,plain,
% 15.68/10.85 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB111) | (~(((~v121(constB111, 2)) <=> v124(constB111, 2)) | ((~v121(constB111, 0)) <=> v124(constB111, 0)) | ((~v121(constB111, 1)) <=> v124(constB111, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB111) | (~(((~v121(constB111, 2)) <=> v124(constB111, 2)) | ((~v121(constB111, 0)) <=> v124(constB111, 0)) | ((~v121(constB111, 1)) <=> v124(constB111, 1)))))),
% 15.68/10.85 inference(rewrite,[status(thm)],[])).
% 15.68/10.85 tff(16254,plain,
% 15.68/10.85 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB111) | (~(((~v121(constB111, 2)) <=> v124(constB111, 2)) | ((~v121(constB111, 0)) <=> v124(constB111, 0)) | ((~v121(constB111, 1)) <=> v124(constB111, 1)))))),
% 15.68/10.85 inference(quant_inst,[status(thm)],[])).
% 15.68/10.85 tff(16255,plain,
% 15.68/10.85 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB111) | (~(((~v121(constB111, 2)) <=> v124(constB111, 2)) | ((~v121(constB111, 0)) <=> v124(constB111, 0)) | ((~v121(constB111, 1)) <=> v124(constB111, 1))))),
% 15.68/10.85 inference(modus_ponens,[status(thm)],[16254, 16253])).
% 15.68/10.85 tff(16256,plain,
% 15.68/10.85 (v105(constB111) | (~(((~v121(constB111, 2)) <=> v124(constB111, 2)) | ((~v121(constB111, 0)) <=> v124(constB111, 0)) | ((~v121(constB111, 1)) <=> v124(constB111, 1))))),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16255, 891])).
% 15.68/10.85 tff(16257,plain,
% 15.68/10.85 (~(((~v121(constB111, 2)) <=> v124(constB111, 2)) | ((~v121(constB111, 0)) <=> v124(constB111, 0)) | ((~v121(constB111, 1)) <=> v124(constB111, 1)))),
% 15.68/10.85 inference(unit_resolution,[status(thm)],[16256, 16252])).
% 15.68/10.85 tff(16258,plain,
% 15.68/10.85 ((((~v121(constB111, 2)) <=> v124(constB111, 2)) | ((~v121(constB111, 0)) <=> v124(constB111, 0)) | ((~v121(constB111, 1)) <=> v124(constB111, 1))) | (~((~v121(constB111, 2)) <=> v124(constB111, 2)))),
% 15.68/10.86 inference(tautology,[status(thm)],[])).
% 15.68/10.86 tff(16259,plain,
% 15.68/10.86 (~((~v121(constB111, 2)) <=> v124(constB111, 2))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16258, 16257])).
% 15.68/10.86 tff(16260,plain,
% 15.68/10.86 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB111) <=> (~(v84(constB111, 2) | (~v84(constB111, 1)) | (~v84(constB111, 0)))))),
% 15.68/10.86 inference(quant_inst,[status(thm)],[])).
% 15.68/10.86 tff(16261,plain,
% 15.68/10.86 (v116(constB111) <=> (~(v84(constB111, 2) | (~v84(constB111, 1)) | (~v84(constB111, 0))))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16260, 911])).
% 15.68/10.86 tff(16262,plain,
% 15.68/10.86 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 15.68/10.86 inference(rewrite,[status(thm)],[])).
% 15.68/10.86 tff(16263,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_110')).
% 15.68/10.86 tff(16264,plain,
% 15.68/10.86 (nextState(constB110, constB111)),
% 15.68/10.86 inference(modus_ponens,[status(thm)],[16263, 16262])).
% 15.68/10.86 tff(16265,plain,
% 15.68/10.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB110, constB111)) | (v94(constB111) <=> (~((~v95(constB111)) | (~v104(constB111))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB110, constB111)) | (v94(constB111) <=> (~((~v95(constB111)) | (~v104(constB111))))))),
% 15.68/10.86 inference(rewrite,[status(thm)],[])).
% 15.68/10.86 tff(16266,plain,
% 15.68/10.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB110, constB111)) | (v94(constB111) <=> (~((~v95(constB111)) | (~v104(constB111))))))),
% 15.68/10.86 inference(quant_inst,[status(thm)],[])).
% 15.68/10.86 tff(16267,plain,
% 15.68/10.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB110, constB111)) | (v94(constB111) <=> (~((~v95(constB111)) | (~v104(constB111)))))),
% 15.68/10.86 inference(modus_ponens,[status(thm)],[16266, 16265])).
% 15.68/10.86 tff(16268,plain,
% 15.68/10.86 (v94(constB111) <=> (~((~v95(constB111)) | (~v104(constB111))))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16267, 16264, 770])).
% 15.68/10.86 tff(16269,plain,
% 15.68/10.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111))))))),
% 15.68/10.86 inference(rewrite,[status(thm)],[])).
% 15.68/10.86 tff(16270,plain,
% 15.68/10.86 (((~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v96(constB111)) | (~v1(constB111)))))) <=> ((~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111))))))),
% 15.68/10.86 inference(rewrite,[status(thm)],[])).
% 15.68/10.86 tff(16271,plain,
% 15.68/10.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v96(constB111)) | (~v1(constB111))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111)))))))),
% 15.68/10.86 inference(monotonicity,[status(thm)],[16270])).
% 15.68/10.86 tff(16272,plain,
% 15.68/10.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v96(constB111)) | (~v1(constB111))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111))))))),
% 15.68/10.86 inference(transitivity,[status(thm)],[16271, 16269])).
% 15.68/10.86 tff(16273,plain,
% 15.68/10.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v96(constB111)) | (~v1(constB111))))))),
% 15.68/10.86 inference(quant_inst,[status(thm)],[])).
% 15.68/10.86 tff(16274,plain,
% 15.68/10.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111)))))),
% 15.68/10.86 inference(modus_ponens,[status(thm)],[16273, 16272])).
% 15.68/10.86 tff(16275,plain,
% 15.68/10.86 (v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111))))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16274, 16264, 790])).
% 15.68/10.86 tff(16276,plain,
% 15.68/10.86 ((~v1(constB111)) <=> (~v1(constB111))),
% 15.68/10.86 inference(rewrite,[status(thm)],[])).
% 15.68/10.86 tff(16277,axiom,(~v1(constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_111')).
% 15.68/10.86 tff(16278,plain,
% 15.68/10.86 (~v1(constB111)),
% 15.68/10.86 inference(modus_ponens,[status(thm)],[16277, 16276])).
% 15.68/10.86 tff(16279,plain,
% 15.68/10.86 (((~v1(constB111)) | (~v96(constB111))) | v1(constB111)),
% 15.68/10.86 inference(tautology,[status(thm)],[])).
% 15.68/10.86 tff(16280,plain,
% 15.68/10.86 ((~v1(constB111)) | (~v96(constB111))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16279, 16278])).
% 15.68/10.86 tff(16281,plain,
% 15.68/10.86 ((~(v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111)))))) | (~v95(constB111)) | (~((~v1(constB111)) | (~v96(constB111))))),
% 15.68/10.86 inference(tautology,[status(thm)],[])).
% 15.68/10.86 tff(16282,plain,
% 15.68/10.86 ((~(v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111)))))) | (~v95(constB111))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16281, 16280])).
% 15.68/10.86 tff(16283,plain,
% 15.68/10.86 (~v95(constB111)),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16282, 16275])).
% 15.68/10.86 tff(16284,plain,
% 15.68/10.86 (((~v95(constB111)) | (~v104(constB111))) | v95(constB111)),
% 15.68/10.86 inference(tautology,[status(thm)],[])).
% 15.68/10.86 tff(16285,plain,
% 15.68/10.86 ((~v95(constB111)) | (~v104(constB111))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16284, 16283])).
% 15.68/10.86 tff(16286,plain,
% 15.68/10.86 ((~(v94(constB111) <=> (~((~v95(constB111)) | (~v104(constB111)))))) | (~v94(constB111)) | (~((~v95(constB111)) | (~v104(constB111))))),
% 15.68/10.86 inference(tautology,[status(thm)],[])).
% 15.68/10.86 tff(16287,plain,
% 15.68/10.86 (~v94(constB111)),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16286, 16285, 16268])).
% 15.68/10.86 tff(16288,plain,
% 15.68/10.86 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB111) | (~nextState(constB110, constB111)) | (~(((~v84(constB111, 1)) <=> v84(constB110, 1)) | ((~v84(constB111, 2)) <=> v84(constB110, 2)) | ((~v84(constB111, 0)) <=> v84(constB110, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB111) | (~nextState(constB110, constB111)) | (~(((~v84(constB111, 1)) <=> v84(constB110, 1)) | ((~v84(constB111, 2)) <=> v84(constB110, 2)) | ((~v84(constB111, 0)) <=> v84(constB110, 0)))))),
% 15.68/10.86 inference(rewrite,[status(thm)],[])).
% 15.68/10.86 tff(16289,plain,
% 15.68/10.86 ((v94(constB111) | (~nextState(constB110, constB111)) | (~(((~v84(constB111, 2)) <=> v84(constB110, 2)) | ((~v84(constB111, 1)) <=> v84(constB110, 1)) | ((~v84(constB111, 0)) <=> v84(constB110, 0))))) <=> (v94(constB111) | (~nextState(constB110, constB111)) | (~(((~v84(constB111, 1)) <=> v84(constB110, 1)) | ((~v84(constB111, 2)) <=> v84(constB110, 2)) | ((~v84(constB111, 0)) <=> v84(constB110, 0)))))),
% 15.68/10.86 inference(rewrite,[status(thm)],[])).
% 15.68/10.86 tff(16290,plain,
% 15.68/10.86 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB111) | (~nextState(constB110, constB111)) | (~(((~v84(constB111, 2)) <=> v84(constB110, 2)) | ((~v84(constB111, 1)) <=> v84(constB110, 1)) | ((~v84(constB111, 0)) <=> v84(constB110, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB111) | (~nextState(constB110, constB111)) | (~(((~v84(constB111, 1)) <=> v84(constB110, 1)) | ((~v84(constB111, 2)) <=> v84(constB110, 2)) | ((~v84(constB111, 0)) <=> v84(constB110, 0))))))),
% 15.68/10.86 inference(monotonicity,[status(thm)],[16289])).
% 15.68/10.86 tff(16291,plain,
% 15.68/10.86 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB111) | (~nextState(constB110, constB111)) | (~(((~v84(constB111, 2)) <=> v84(constB110, 2)) | ((~v84(constB111, 1)) <=> v84(constB110, 1)) | ((~v84(constB111, 0)) <=> v84(constB110, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB111) | (~nextState(constB110, constB111)) | (~(((~v84(constB111, 1)) <=> v84(constB110, 1)) | ((~v84(constB111, 2)) <=> v84(constB110, 2)) | ((~v84(constB111, 0)) <=> v84(constB110, 0)))))),
% 15.68/10.86 inference(transitivity,[status(thm)],[16290, 16288])).
% 15.68/10.86 tff(16292,plain,
% 15.68/10.86 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB111) | (~nextState(constB110, constB111)) | (~(((~v84(constB111, 2)) <=> v84(constB110, 2)) | ((~v84(constB111, 1)) <=> v84(constB110, 1)) | ((~v84(constB111, 0)) <=> v84(constB110, 0)))))),
% 15.68/10.86 inference(quant_inst,[status(thm)],[])).
% 15.68/10.86 tff(16293,plain,
% 15.68/10.86 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB111) | (~nextState(constB110, constB111)) | (~(((~v84(constB111, 1)) <=> v84(constB110, 1)) | ((~v84(constB111, 2)) <=> v84(constB110, 2)) | ((~v84(constB111, 0)) <=> v84(constB110, 0))))),
% 15.68/10.86 inference(modus_ponens,[status(thm)],[16292, 16291])).
% 15.68/10.86 tff(16294,plain,
% 15.68/10.86 (v94(constB111) | (~(((~v84(constB111, 1)) <=> v84(constB110, 1)) | ((~v84(constB111, 2)) <=> v84(constB110, 2)) | ((~v84(constB111, 0)) <=> v84(constB110, 0))))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16293, 16264, 819])).
% 15.68/10.86 tff(16295,plain,
% 15.68/10.86 (~(((~v84(constB111, 1)) <=> v84(constB110, 1)) | ((~v84(constB111, 2)) <=> v84(constB110, 2)) | ((~v84(constB111, 0)) <=> v84(constB110, 0)))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16294, 16287])).
% 15.68/10.86 tff(16296,plain,
% 15.68/10.86 ((((~v84(constB111, 1)) <=> v84(constB110, 1)) | ((~v84(constB111, 2)) <=> v84(constB110, 2)) | ((~v84(constB111, 0)) <=> v84(constB110, 0))) | (~((~v84(constB111, 2)) <=> v84(constB110, 2)))),
% 15.68/10.86 inference(tautology,[status(thm)],[])).
% 15.68/10.86 tff(16297,plain,
% 15.68/10.86 (~((~v84(constB111, 2)) <=> v84(constB110, 2))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16296, 16295])).
% 15.68/10.86 tff(16298,plain,
% 15.68/10.86 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 15.68/10.86 inference(rewrite,[status(thm)],[])).
% 15.68/10.86 tff(16299,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_109')).
% 15.68/10.86 tff(16300,plain,
% 15.68/10.86 (nextState(constB109, constB110)),
% 15.68/10.86 inference(modus_ponens,[status(thm)],[16299, 16298])).
% 15.68/10.86 tff(16301,plain,
% 15.68/10.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB109, constB110)) | (~(((~v123(constB110, 2)) <=> v121(constB109, 2)) | ((~v123(constB110, 1)) <=> v121(constB109, 1)) | ((~v123(constB110, 0)) <=> v121(constB109, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB109, constB110)) | (~(((~v123(constB110, 2)) <=> v121(constB109, 2)) | ((~v123(constB110, 1)) <=> v121(constB109, 1)) | ((~v123(constB110, 0)) <=> v121(constB109, 0)))))),
% 15.68/10.86 inference(rewrite,[status(thm)],[])).
% 15.68/10.86 tff(16302,plain,
% 15.68/10.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB109, constB110)) | (~(((~v123(constB110, 2)) <=> v121(constB109, 2)) | ((~v123(constB110, 1)) <=> v121(constB109, 1)) | ((~v123(constB110, 0)) <=> v121(constB109, 0)))))),
% 15.68/10.86 inference(quant_inst,[status(thm)],[])).
% 15.68/10.86 tff(16303,plain,
% 15.68/10.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB109, constB110)) | (~(((~v123(constB110, 2)) <=> v121(constB109, 2)) | ((~v123(constB110, 1)) <=> v121(constB109, 1)) | ((~v123(constB110, 0)) <=> v121(constB109, 0))))),
% 15.68/10.86 inference(modus_ponens,[status(thm)],[16302, 16301])).
% 15.68/10.86 tff(16304,plain,
% 15.68/10.86 (~(((~v123(constB110, 2)) <=> v121(constB109, 2)) | ((~v123(constB110, 1)) <=> v121(constB109, 1)) | ((~v123(constB110, 0)) <=> v121(constB109, 0)))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16303, 16300, 842])).
% 15.68/10.86 tff(16305,plain,
% 15.68/10.86 ((((~v123(constB110, 2)) <=> v121(constB109, 2)) | ((~v123(constB110, 1)) <=> v121(constB109, 1)) | ((~v123(constB110, 0)) <=> v121(constB109, 0))) | (~((~v123(constB110, 2)) <=> v121(constB109, 2)))),
% 15.68/10.86 inference(tautology,[status(thm)],[])).
% 15.68/10.86 tff(16306,plain,
% 15.68/10.86 (~((~v123(constB110, 2)) <=> v121(constB109, 2))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16305, 16304])).
% 15.68/10.86 tff(16307,plain,
% 15.68/10.86 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB109) <=> v26(constB109))),
% 15.68/10.86 inference(quant_inst,[status(thm)],[])).
% 15.68/10.86 tff(16308,plain,
% 15.68/10.86 (v105(constB109) <=> v26(constB109)),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16307, 861])).
% 15.68/10.86 tff(16309,plain,
% 15.68/10.86 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB109))),
% 15.68/10.86 inference(quant_inst,[status(thm)],[])).
% 15.68/10.86 tff(16310,plain,
% 15.68/10.86 (~v26(constB109)),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16309, 873])).
% 15.68/10.86 tff(16311,plain,
% 15.68/10.86 ((~(v105(constB109) <=> v26(constB109))) | (~v105(constB109)) | v26(constB109)),
% 15.68/10.86 inference(tautology,[status(thm)],[])).
% 15.68/10.86 tff(16312,plain,
% 15.68/10.86 ((~(v105(constB109) <=> v26(constB109))) | (~v105(constB109))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16311, 16310])).
% 15.68/10.86 tff(16313,plain,
% 15.68/10.86 (~v105(constB109)),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16312, 16308])).
% 15.68/10.86 tff(16314,plain,
% 15.68/10.86 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB109) | (~(((~v121(constB109, 2)) <=> v124(constB109, 2)) | ((~v121(constB109, 0)) <=> v124(constB109, 0)) | ((~v121(constB109, 1)) <=> v124(constB109, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB109) | (~(((~v121(constB109, 2)) <=> v124(constB109, 2)) | ((~v121(constB109, 0)) <=> v124(constB109, 0)) | ((~v121(constB109, 1)) <=> v124(constB109, 1)))))),
% 15.68/10.86 inference(rewrite,[status(thm)],[])).
% 15.68/10.86 tff(16315,plain,
% 15.68/10.86 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB109) | (~(((~v121(constB109, 2)) <=> v124(constB109, 2)) | ((~v121(constB109, 0)) <=> v124(constB109, 0)) | ((~v121(constB109, 1)) <=> v124(constB109, 1)))))),
% 15.68/10.86 inference(quant_inst,[status(thm)],[])).
% 15.68/10.86 tff(16316,plain,
% 15.68/10.86 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB109) | (~(((~v121(constB109, 2)) <=> v124(constB109, 2)) | ((~v121(constB109, 0)) <=> v124(constB109, 0)) | ((~v121(constB109, 1)) <=> v124(constB109, 1))))),
% 15.68/10.86 inference(modus_ponens,[status(thm)],[16315, 16314])).
% 15.68/10.86 tff(16317,plain,
% 15.68/10.86 (v105(constB109) | (~(((~v121(constB109, 2)) <=> v124(constB109, 2)) | ((~v121(constB109, 0)) <=> v124(constB109, 0)) | ((~v121(constB109, 1)) <=> v124(constB109, 1))))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16316, 891])).
% 15.68/10.86 tff(16318,plain,
% 15.68/10.86 (~(((~v121(constB109, 2)) <=> v124(constB109, 2)) | ((~v121(constB109, 0)) <=> v124(constB109, 0)) | ((~v121(constB109, 1)) <=> v124(constB109, 1)))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16317, 16313])).
% 15.68/10.86 tff(16319,plain,
% 15.68/10.86 ((((~v121(constB109, 2)) <=> v124(constB109, 2)) | ((~v121(constB109, 0)) <=> v124(constB109, 0)) | ((~v121(constB109, 1)) <=> v124(constB109, 1))) | (~((~v121(constB109, 2)) <=> v124(constB109, 2)))),
% 15.68/10.86 inference(tautology,[status(thm)],[])).
% 15.68/10.86 tff(16320,plain,
% 15.68/10.86 (~((~v121(constB109, 2)) <=> v124(constB109, 2))),
% 15.68/10.86 inference(unit_resolution,[status(thm)],[16319, 16318])).
% 15.68/10.86 tff(16321,plain,
% 15.68/10.86 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB109) <=> (~(v84(constB109, 2) | v84(constB109, 0) | (~v84(constB109, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB109) <=> (~(v84(constB109, 2) | v84(constB109, 0) | (~v84(constB109, 1))))))),
% 15.68/10.86 inference(rewrite,[status(thm)],[])).
% 15.68/10.86 tff(16322,plain,
% 15.68/10.86 ((v115(constB109) <=> (~(v84(constB109, 0) | v84(constB109, 2) | (~v84(constB109, 1))))) <=> (v115(constB109) <=> (~(v84(constB109, 2) | v84(constB109, 0) | (~v84(constB109, 1)))))),
% 15.68/10.86 inference(rewrite,[status(thm)],[])).
% 15.68/10.86 tff(16323,plain,
% 15.68/10.86 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB109) <=> (~(v84(constB109, 0) | v84(constB109, 2) | (~v84(constB109, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB109) <=> (~(v84(constB109, 2) | v84(constB109, 0) | (~v84(constB109, 1))))))),
% 15.68/10.86 inference(monotonicity,[status(thm)],[16322])).
% 15.68/10.86 tff(16324,plain,
% 15.68/10.86 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB109) <=> (~(v84(constB109, 0) | v84(constB109, 2) | (~v84(constB109, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB109) <=> (~(v84(constB109, 2) | v84(constB109, 0) | (~v84(constB109, 1))))))),
% 15.68/10.86 inference(transitivity,[status(thm)],[16323, 16321])).
% 15.68/10.86 tff(16325,plain,
% 15.68/10.86 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB109) <=> (~(v84(constB109, 0) | v84(constB109, 2) | (~v84(constB109, 1)))))),
% 15.68/10.86 inference(quant_inst,[status(thm)],[])).
% 15.68/10.86 tff(16326,plain,
% 15.68/10.86 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB109) <=> (~(v84(constB109, 2) | v84(constB109, 0) | (~v84(constB109, 1)))))),
% 15.68/10.87 inference(modus_ponens,[status(thm)],[16325, 16324])).
% 15.68/10.87 tff(16327,plain,
% 15.68/10.87 (v115(constB109) <=> (~(v84(constB109, 2) | v84(constB109, 0) | (~v84(constB109, 1))))),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16326, 985])).
% 15.68/10.87 tff(16328,plain,
% 15.68/10.87 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 15.68/10.87 inference(rewrite,[status(thm)],[])).
% 15.68/10.87 tff(16329,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_108')).
% 15.68/10.87 tff(16330,plain,
% 15.68/10.87 (nextState(constB108, constB109)),
% 15.68/10.87 inference(modus_ponens,[status(thm)],[16329, 16328])).
% 15.68/10.87 tff(16331,plain,
% 15.68/10.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB108, constB109)) | (v94(constB109) <=> (~((~v95(constB109)) | (~v104(constB109))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB108, constB109)) | (v94(constB109) <=> (~((~v95(constB109)) | (~v104(constB109))))))),
% 15.68/10.87 inference(rewrite,[status(thm)],[])).
% 15.68/10.87 tff(16332,plain,
% 15.68/10.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB108, constB109)) | (v94(constB109) <=> (~((~v95(constB109)) | (~v104(constB109))))))),
% 15.68/10.87 inference(quant_inst,[status(thm)],[])).
% 15.68/10.87 tff(16333,plain,
% 15.68/10.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB108, constB109)) | (v94(constB109) <=> (~((~v95(constB109)) | (~v104(constB109)))))),
% 15.68/10.87 inference(modus_ponens,[status(thm)],[16332, 16331])).
% 15.68/10.87 tff(16334,plain,
% 15.68/10.87 (v94(constB109) <=> (~((~v95(constB109)) | (~v104(constB109))))),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16333, 16330, 770])).
% 15.68/10.87 tff(16335,plain,
% 15.68/10.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109))))))),
% 15.68/10.87 inference(rewrite,[status(thm)],[])).
% 15.68/10.87 tff(16336,plain,
% 15.68/10.87 (((~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v96(constB109)) | (~v1(constB109)))))) <=> ((~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109))))))),
% 15.68/10.87 inference(rewrite,[status(thm)],[])).
% 15.68/10.87 tff(16337,plain,
% 15.68/10.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v96(constB109)) | (~v1(constB109))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109)))))))),
% 15.68/10.87 inference(monotonicity,[status(thm)],[16336])).
% 15.68/10.87 tff(16338,plain,
% 15.68/10.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v96(constB109)) | (~v1(constB109))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109))))))),
% 15.68/10.87 inference(transitivity,[status(thm)],[16337, 16335])).
% 15.68/10.87 tff(16339,plain,
% 15.68/10.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v96(constB109)) | (~v1(constB109))))))),
% 15.68/10.87 inference(quant_inst,[status(thm)],[])).
% 15.68/10.87 tff(16340,plain,
% 15.68/10.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109)))))),
% 15.68/10.87 inference(modus_ponens,[status(thm)],[16339, 16338])).
% 15.68/10.87 tff(16341,plain,
% 15.68/10.87 (v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109))))),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16340, 16330, 790])).
% 15.68/10.87 tff(16342,plain,
% 15.68/10.87 ((~v1(constB109)) <=> (~v1(constB109))),
% 15.68/10.87 inference(rewrite,[status(thm)],[])).
% 15.68/10.87 tff(16343,axiom,(~v1(constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_109')).
% 15.68/10.87 tff(16344,plain,
% 15.68/10.87 (~v1(constB109)),
% 15.68/10.87 inference(modus_ponens,[status(thm)],[16343, 16342])).
% 15.68/10.87 tff(16345,plain,
% 15.68/10.87 (((~v1(constB109)) | (~v96(constB109))) | v1(constB109)),
% 15.68/10.87 inference(tautology,[status(thm)],[])).
% 15.68/10.87 tff(16346,plain,
% 15.68/10.87 ((~v1(constB109)) | (~v96(constB109))),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16345, 16344])).
% 15.68/10.87 tff(16347,plain,
% 15.68/10.87 ((~(v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109)))))) | (~v95(constB109)) | (~((~v1(constB109)) | (~v96(constB109))))),
% 15.68/10.87 inference(tautology,[status(thm)],[])).
% 15.68/10.87 tff(16348,plain,
% 15.68/10.87 ((~(v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109)))))) | (~v95(constB109))),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16347, 16346])).
% 15.68/10.87 tff(16349,plain,
% 15.68/10.87 (~v95(constB109)),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16348, 16341])).
% 15.68/10.87 tff(16350,plain,
% 15.68/10.87 (((~v95(constB109)) | (~v104(constB109))) | v95(constB109)),
% 15.68/10.87 inference(tautology,[status(thm)],[])).
% 15.68/10.87 tff(16351,plain,
% 15.68/10.87 ((~v95(constB109)) | (~v104(constB109))),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16350, 16349])).
% 15.68/10.87 tff(16352,plain,
% 15.68/10.87 ((~(v94(constB109) <=> (~((~v95(constB109)) | (~v104(constB109)))))) | (~v94(constB109)) | (~((~v95(constB109)) | (~v104(constB109))))),
% 15.68/10.87 inference(tautology,[status(thm)],[])).
% 15.68/10.87 tff(16353,plain,
% 15.68/10.87 (~v94(constB109)),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16352, 16351, 16334])).
% 15.68/10.87 tff(16354,plain,
% 15.68/10.87 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB109) | (~nextState(constB108, constB109)) | (~(((~v84(constB109, 1)) <=> v84(constB108, 1)) | ((~v84(constB109, 2)) <=> v84(constB108, 2)) | ((~v84(constB109, 0)) <=> v84(constB108, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB109) | (~nextState(constB108, constB109)) | (~(((~v84(constB109, 1)) <=> v84(constB108, 1)) | ((~v84(constB109, 2)) <=> v84(constB108, 2)) | ((~v84(constB109, 0)) <=> v84(constB108, 0)))))),
% 15.68/10.87 inference(rewrite,[status(thm)],[])).
% 15.68/10.87 tff(16355,plain,
% 15.68/10.87 ((v94(constB109) | (~nextState(constB108, constB109)) | (~(((~v84(constB109, 2)) <=> v84(constB108, 2)) | ((~v84(constB109, 1)) <=> v84(constB108, 1)) | ((~v84(constB109, 0)) <=> v84(constB108, 0))))) <=> (v94(constB109) | (~nextState(constB108, constB109)) | (~(((~v84(constB109, 1)) <=> v84(constB108, 1)) | ((~v84(constB109, 2)) <=> v84(constB108, 2)) | ((~v84(constB109, 0)) <=> v84(constB108, 0)))))),
% 15.68/10.87 inference(rewrite,[status(thm)],[])).
% 15.68/10.87 tff(16356,plain,
% 15.68/10.87 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB109) | (~nextState(constB108, constB109)) | (~(((~v84(constB109, 2)) <=> v84(constB108, 2)) | ((~v84(constB109, 1)) <=> v84(constB108, 1)) | ((~v84(constB109, 0)) <=> v84(constB108, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB109) | (~nextState(constB108, constB109)) | (~(((~v84(constB109, 1)) <=> v84(constB108, 1)) | ((~v84(constB109, 2)) <=> v84(constB108, 2)) | ((~v84(constB109, 0)) <=> v84(constB108, 0))))))),
% 15.68/10.87 inference(monotonicity,[status(thm)],[16355])).
% 15.68/10.87 tff(16357,plain,
% 15.68/10.87 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB109) | (~nextState(constB108, constB109)) | (~(((~v84(constB109, 2)) <=> v84(constB108, 2)) | ((~v84(constB109, 1)) <=> v84(constB108, 1)) | ((~v84(constB109, 0)) <=> v84(constB108, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB109) | (~nextState(constB108, constB109)) | (~(((~v84(constB109, 1)) <=> v84(constB108, 1)) | ((~v84(constB109, 2)) <=> v84(constB108, 2)) | ((~v84(constB109, 0)) <=> v84(constB108, 0)))))),
% 15.68/10.87 inference(transitivity,[status(thm)],[16356, 16354])).
% 15.68/10.87 tff(16358,plain,
% 15.68/10.87 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB109) | (~nextState(constB108, constB109)) | (~(((~v84(constB109, 2)) <=> v84(constB108, 2)) | ((~v84(constB109, 1)) <=> v84(constB108, 1)) | ((~v84(constB109, 0)) <=> v84(constB108, 0)))))),
% 15.68/10.87 inference(quant_inst,[status(thm)],[])).
% 15.68/10.87 tff(16359,plain,
% 15.68/10.87 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB109) | (~nextState(constB108, constB109)) | (~(((~v84(constB109, 1)) <=> v84(constB108, 1)) | ((~v84(constB109, 2)) <=> v84(constB108, 2)) | ((~v84(constB109, 0)) <=> v84(constB108, 0))))),
% 15.68/10.87 inference(modus_ponens,[status(thm)],[16358, 16357])).
% 15.68/10.87 tff(16360,plain,
% 15.68/10.87 (v94(constB109) | (~(((~v84(constB109, 1)) <=> v84(constB108, 1)) | ((~v84(constB109, 2)) <=> v84(constB108, 2)) | ((~v84(constB109, 0)) <=> v84(constB108, 0))))),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16359, 16330, 819])).
% 15.68/10.87 tff(16361,plain,
% 15.68/10.87 (~(((~v84(constB109, 1)) <=> v84(constB108, 1)) | ((~v84(constB109, 2)) <=> v84(constB108, 2)) | ((~v84(constB109, 0)) <=> v84(constB108, 0)))),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16360, 16353])).
% 15.68/10.87 tff(16362,plain,
% 15.68/10.87 ((((~v84(constB109, 1)) <=> v84(constB108, 1)) | ((~v84(constB109, 2)) <=> v84(constB108, 2)) | ((~v84(constB109, 0)) <=> v84(constB108, 0))) | (~((~v84(constB109, 2)) <=> v84(constB108, 2)))),
% 15.68/10.87 inference(tautology,[status(thm)],[])).
% 15.68/10.87 tff(16363,plain,
% 15.68/10.87 (~((~v84(constB109, 2)) <=> v84(constB108, 2))),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16362, 16361])).
% 15.68/10.87 tff(16364,plain,
% 15.68/10.87 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 15.68/10.87 inference(rewrite,[status(thm)],[])).
% 15.68/10.87 tff(16365,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_107')).
% 15.68/10.87 tff(16366,plain,
% 15.68/10.87 (nextState(constB107, constB108)),
% 15.68/10.87 inference(modus_ponens,[status(thm)],[16365, 16364])).
% 15.68/10.87 tff(16367,plain,
% 15.68/10.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB107, constB108)) | (~(((~v123(constB108, 2)) <=> v121(constB107, 2)) | ((~v123(constB108, 1)) <=> v121(constB107, 1)) | ((~v123(constB108, 0)) <=> v121(constB107, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB107, constB108)) | (~(((~v123(constB108, 2)) <=> v121(constB107, 2)) | ((~v123(constB108, 1)) <=> v121(constB107, 1)) | ((~v123(constB108, 0)) <=> v121(constB107, 0)))))),
% 15.68/10.87 inference(rewrite,[status(thm)],[])).
% 15.68/10.87 tff(16368,plain,
% 15.68/10.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB107, constB108)) | (~(((~v123(constB108, 2)) <=> v121(constB107, 2)) | ((~v123(constB108, 1)) <=> v121(constB107, 1)) | ((~v123(constB108, 0)) <=> v121(constB107, 0)))))),
% 15.68/10.87 inference(quant_inst,[status(thm)],[])).
% 15.68/10.87 tff(16369,plain,
% 15.68/10.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB107, constB108)) | (~(((~v123(constB108, 2)) <=> v121(constB107, 2)) | ((~v123(constB108, 1)) <=> v121(constB107, 1)) | ((~v123(constB108, 0)) <=> v121(constB107, 0))))),
% 15.68/10.87 inference(modus_ponens,[status(thm)],[16368, 16367])).
% 15.68/10.87 tff(16370,plain,
% 15.68/10.87 (~(((~v123(constB108, 2)) <=> v121(constB107, 2)) | ((~v123(constB108, 1)) <=> v121(constB107, 1)) | ((~v123(constB108, 0)) <=> v121(constB107, 0)))),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16369, 16366, 842])).
% 15.68/10.87 tff(16371,plain,
% 15.68/10.87 ((((~v123(constB108, 2)) <=> v121(constB107, 2)) | ((~v123(constB108, 1)) <=> v121(constB107, 1)) | ((~v123(constB108, 0)) <=> v121(constB107, 0))) | (~((~v123(constB108, 2)) <=> v121(constB107, 2)))),
% 15.68/10.87 inference(tautology,[status(thm)],[])).
% 15.68/10.87 tff(16372,plain,
% 15.68/10.87 (~((~v123(constB108, 2)) <=> v121(constB107, 2))),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16371, 16370])).
% 15.68/10.87 tff(16373,plain,
% 15.68/10.87 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB107) <=> v26(constB107))),
% 15.68/10.87 inference(quant_inst,[status(thm)],[])).
% 15.68/10.87 tff(16374,plain,
% 15.68/10.87 (v105(constB107) <=> v26(constB107)),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16373, 861])).
% 15.68/10.87 tff(16375,plain,
% 15.68/10.87 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB107))),
% 15.68/10.87 inference(quant_inst,[status(thm)],[])).
% 15.68/10.87 tff(16376,plain,
% 15.68/10.87 (~v26(constB107)),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16375, 873])).
% 15.68/10.87 tff(16377,plain,
% 15.68/10.87 ((~(v105(constB107) <=> v26(constB107))) | (~v105(constB107)) | v26(constB107)),
% 15.68/10.87 inference(tautology,[status(thm)],[])).
% 15.68/10.87 tff(16378,plain,
% 15.68/10.87 ((~(v105(constB107) <=> v26(constB107))) | (~v105(constB107))),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16377, 16376])).
% 15.68/10.87 tff(16379,plain,
% 15.68/10.87 (~v105(constB107)),
% 15.68/10.87 inference(unit_resolution,[status(thm)],[16378, 16374])).
% 15.68/10.87 tff(16380,plain,
% 15.68/10.87 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB107) | (~(((~v121(constB107, 2)) <=> v124(constB107, 2)) | ((~v121(constB107, 0)) <=> v124(constB107, 0)) | ((~v121(constB107, 1)) <=> v124(constB107, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB107) | (~(((~v121(constB107, 2)) <=> v124(constB107, 2)) | ((~v121(constB107, 0)) <=> v124(constB107, 0)) | ((~v121(constB107, 1)) <=> v124(constB107, 1)))))),
% 15.68/10.87 inference(rewrite,[status(thm)],[])).
% 15.68/10.87 tff(16381,plain,
% 15.68/10.87 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB107) | (~(((~v121(constB107, 2)) <=> v124(constB107, 2)) | ((~v121(constB107, 0)) <=> v124(constB107, 0)) | ((~v121(constB107, 1)) <=> v124(constB107, 1)))))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(16382,plain,
% 15.68/10.88 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB107) | (~(((~v121(constB107, 2)) <=> v124(constB107, 2)) | ((~v121(constB107, 0)) <=> v124(constB107, 0)) | ((~v121(constB107, 1)) <=> v124(constB107, 1))))),
% 15.68/10.88 inference(modus_ponens,[status(thm)],[16381, 16380])).
% 15.68/10.88 tff(16383,plain,
% 15.68/10.88 (v105(constB107) | (~(((~v121(constB107, 2)) <=> v124(constB107, 2)) | ((~v121(constB107, 0)) <=> v124(constB107, 0)) | ((~v121(constB107, 1)) <=> v124(constB107, 1))))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16382, 891])).
% 15.68/10.88 tff(16384,plain,
% 15.68/10.88 (~(((~v121(constB107, 2)) <=> v124(constB107, 2)) | ((~v121(constB107, 0)) <=> v124(constB107, 0)) | ((~v121(constB107, 1)) <=> v124(constB107, 1)))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16383, 16379])).
% 15.68/10.88 tff(16385,plain,
% 15.68/10.88 ((((~v121(constB107, 2)) <=> v124(constB107, 2)) | ((~v121(constB107, 0)) <=> v124(constB107, 0)) | ((~v121(constB107, 1)) <=> v124(constB107, 1))) | (~((~v121(constB107, 2)) <=> v124(constB107, 2)))),
% 15.68/10.88 inference(tautology,[status(thm)],[])).
% 15.68/10.88 tff(16386,plain,
% 15.68/10.88 (~((~v121(constB107, 2)) <=> v124(constB107, 2))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16385, 16384])).
% 15.68/10.88 tff(16387,plain,
% 15.68/10.88 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB107) <=> (~(v84(constB107, 1) | v84(constB107, 2) | (~v84(constB107, 0)))))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(16388,plain,
% 15.68/10.88 (v114(constB107) <=> (~(v84(constB107, 1) | v84(constB107, 2) | (~v84(constB107, 0))))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16387, 1064])).
% 15.68/10.88 tff(16389,plain,
% 15.68/10.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB106, constB107)) | (v94(constB107) <=> (~((~v95(constB107)) | (~v104(constB107))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB106, constB107)) | (v94(constB107) <=> (~((~v95(constB107)) | (~v104(constB107))))))),
% 15.68/10.88 inference(rewrite,[status(thm)],[])).
% 15.68/10.88 tff(16390,plain,
% 15.68/10.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB106, constB107)) | (v94(constB107) <=> (~((~v95(constB107)) | (~v104(constB107))))))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(16391,plain,
% 15.68/10.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB106, constB107)) | (v94(constB107) <=> (~((~v95(constB107)) | (~v104(constB107)))))),
% 15.68/10.88 inference(modus_ponens,[status(thm)],[16390, 16389])).
% 15.68/10.88 tff(16392,plain,
% 15.68/10.88 (v94(constB107) <=> (~((~v95(constB107)) | (~v104(constB107))))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16391, 5887, 770])).
% 15.68/10.88 tff(16393,plain,
% 15.68/10.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107))))))),
% 15.68/10.88 inference(rewrite,[status(thm)],[])).
% 15.68/10.88 tff(16394,plain,
% 15.68/10.88 (((~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v96(constB107)) | (~v1(constB107)))))) <=> ((~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107))))))),
% 15.68/10.88 inference(rewrite,[status(thm)],[])).
% 15.68/10.88 tff(16395,plain,
% 15.68/10.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v96(constB107)) | (~v1(constB107))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107)))))))),
% 15.68/10.88 inference(monotonicity,[status(thm)],[16394])).
% 15.68/10.88 tff(16396,plain,
% 15.68/10.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v96(constB107)) | (~v1(constB107))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107))))))),
% 15.68/10.88 inference(transitivity,[status(thm)],[16395, 16393])).
% 15.68/10.88 tff(16397,plain,
% 15.68/10.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v96(constB107)) | (~v1(constB107))))))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(16398,plain,
% 15.68/10.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107)))))),
% 15.68/10.88 inference(modus_ponens,[status(thm)],[16397, 16396])).
% 15.68/10.88 tff(16399,plain,
% 15.68/10.88 (v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107))))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16398, 5887, 790])).
% 15.68/10.88 tff(16400,plain,
% 15.68/10.88 ((~v1(constB107)) <=> (~v1(constB107))),
% 15.68/10.88 inference(rewrite,[status(thm)],[])).
% 15.68/10.88 tff(16401,axiom,(~v1(constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_107')).
% 15.68/10.88 tff(16402,plain,
% 15.68/10.88 (~v1(constB107)),
% 15.68/10.88 inference(modus_ponens,[status(thm)],[16401, 16400])).
% 15.68/10.88 tff(16403,plain,
% 15.68/10.88 (((~v1(constB107)) | (~v96(constB107))) | v1(constB107)),
% 15.68/10.88 inference(tautology,[status(thm)],[])).
% 15.68/10.88 tff(16404,plain,
% 15.68/10.88 ((~v1(constB107)) | (~v96(constB107))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16403, 16402])).
% 15.68/10.88 tff(16405,plain,
% 15.68/10.88 ((~(v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107)))))) | (~v95(constB107)) | (~((~v1(constB107)) | (~v96(constB107))))),
% 15.68/10.88 inference(tautology,[status(thm)],[])).
% 15.68/10.88 tff(16406,plain,
% 15.68/10.88 ((~(v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107)))))) | (~v95(constB107))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16405, 16404])).
% 15.68/10.88 tff(16407,plain,
% 15.68/10.88 (~v95(constB107)),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16406, 16399])).
% 15.68/10.88 tff(16408,plain,
% 15.68/10.88 (((~v95(constB107)) | (~v104(constB107))) | v95(constB107)),
% 15.68/10.88 inference(tautology,[status(thm)],[])).
% 15.68/10.88 tff(16409,plain,
% 15.68/10.88 ((~v95(constB107)) | (~v104(constB107))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16408, 16407])).
% 15.68/10.88 tff(16410,plain,
% 15.68/10.88 ((~(v94(constB107) <=> (~((~v95(constB107)) | (~v104(constB107)))))) | (~v94(constB107)) | (~((~v95(constB107)) | (~v104(constB107))))),
% 15.68/10.88 inference(tautology,[status(thm)],[])).
% 15.68/10.88 tff(16411,plain,
% 15.68/10.88 (~v94(constB107)),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16410, 16409, 16392])).
% 15.68/10.88 tff(16412,plain,
% 15.68/10.88 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB107) | (~nextState(constB106, constB107)) | (~(((~v84(constB107, 1)) <=> v84(constB106, 1)) | ((~v84(constB107, 2)) <=> v84(constB106, 2)) | ((~v84(constB107, 0)) <=> v84(constB106, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB107) | (~nextState(constB106, constB107)) | (~(((~v84(constB107, 1)) <=> v84(constB106, 1)) | ((~v84(constB107, 2)) <=> v84(constB106, 2)) | ((~v84(constB107, 0)) <=> v84(constB106, 0)))))),
% 15.68/10.88 inference(rewrite,[status(thm)],[])).
% 15.68/10.88 tff(16413,plain,
% 15.68/10.88 ((v94(constB107) | (~nextState(constB106, constB107)) | (~(((~v84(constB107, 2)) <=> v84(constB106, 2)) | ((~v84(constB107, 1)) <=> v84(constB106, 1)) | ((~v84(constB107, 0)) <=> v84(constB106, 0))))) <=> (v94(constB107) | (~nextState(constB106, constB107)) | (~(((~v84(constB107, 1)) <=> v84(constB106, 1)) | ((~v84(constB107, 2)) <=> v84(constB106, 2)) | ((~v84(constB107, 0)) <=> v84(constB106, 0)))))),
% 15.68/10.88 inference(rewrite,[status(thm)],[])).
% 15.68/10.88 tff(16414,plain,
% 15.68/10.88 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB107) | (~nextState(constB106, constB107)) | (~(((~v84(constB107, 2)) <=> v84(constB106, 2)) | ((~v84(constB107, 1)) <=> v84(constB106, 1)) | ((~v84(constB107, 0)) <=> v84(constB106, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB107) | (~nextState(constB106, constB107)) | (~(((~v84(constB107, 1)) <=> v84(constB106, 1)) | ((~v84(constB107, 2)) <=> v84(constB106, 2)) | ((~v84(constB107, 0)) <=> v84(constB106, 0))))))),
% 15.68/10.88 inference(monotonicity,[status(thm)],[16413])).
% 15.68/10.88 tff(16415,plain,
% 15.68/10.88 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB107) | (~nextState(constB106, constB107)) | (~(((~v84(constB107, 2)) <=> v84(constB106, 2)) | ((~v84(constB107, 1)) <=> v84(constB106, 1)) | ((~v84(constB107, 0)) <=> v84(constB106, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB107) | (~nextState(constB106, constB107)) | (~(((~v84(constB107, 1)) <=> v84(constB106, 1)) | ((~v84(constB107, 2)) <=> v84(constB106, 2)) | ((~v84(constB107, 0)) <=> v84(constB106, 0)))))),
% 15.68/10.88 inference(transitivity,[status(thm)],[16414, 16412])).
% 15.68/10.88 tff(16416,plain,
% 15.68/10.88 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB107) | (~nextState(constB106, constB107)) | (~(((~v84(constB107, 2)) <=> v84(constB106, 2)) | ((~v84(constB107, 1)) <=> v84(constB106, 1)) | ((~v84(constB107, 0)) <=> v84(constB106, 0)))))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(16417,plain,
% 15.68/10.88 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB107) | (~nextState(constB106, constB107)) | (~(((~v84(constB107, 1)) <=> v84(constB106, 1)) | ((~v84(constB107, 2)) <=> v84(constB106, 2)) | ((~v84(constB107, 0)) <=> v84(constB106, 0))))),
% 15.68/10.88 inference(modus_ponens,[status(thm)],[16416, 16415])).
% 15.68/10.88 tff(16418,plain,
% 15.68/10.88 (v94(constB107) | (~(((~v84(constB107, 1)) <=> v84(constB106, 1)) | ((~v84(constB107, 2)) <=> v84(constB106, 2)) | ((~v84(constB107, 0)) <=> v84(constB106, 0))))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16417, 5887, 819])).
% 15.68/10.88 tff(16419,plain,
% 15.68/10.88 (~(((~v84(constB107, 1)) <=> v84(constB106, 1)) | ((~v84(constB107, 2)) <=> v84(constB106, 2)) | ((~v84(constB107, 0)) <=> v84(constB106, 0)))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16418, 16411])).
% 15.68/10.88 tff(16420,plain,
% 15.68/10.88 ((((~v84(constB107, 1)) <=> v84(constB106, 1)) | ((~v84(constB107, 2)) <=> v84(constB106, 2)) | ((~v84(constB107, 0)) <=> v84(constB106, 0))) | (~((~v84(constB107, 2)) <=> v84(constB106, 2)))),
% 15.68/10.88 inference(tautology,[status(thm)],[])).
% 15.68/10.88 tff(16421,plain,
% 15.68/10.88 (~((~v84(constB107, 2)) <=> v84(constB106, 2))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16420, 16419])).
% 15.68/10.88 tff(16422,plain,
% 15.68/10.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB105, constB106)) | (~(((~v123(constB106, 2)) <=> v121(constB105, 2)) | ((~v123(constB106, 1)) <=> v121(constB105, 1)) | ((~v123(constB106, 0)) <=> v121(constB105, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB105, constB106)) | (~(((~v123(constB106, 2)) <=> v121(constB105, 2)) | ((~v123(constB106, 1)) <=> v121(constB105, 1)) | ((~v123(constB106, 0)) <=> v121(constB105, 0)))))),
% 15.68/10.88 inference(rewrite,[status(thm)],[])).
% 15.68/10.88 tff(16423,plain,
% 15.68/10.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB105, constB106)) | (~(((~v123(constB106, 2)) <=> v121(constB105, 2)) | ((~v123(constB106, 1)) <=> v121(constB105, 1)) | ((~v123(constB106, 0)) <=> v121(constB105, 0)))))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(16424,plain,
% 15.68/10.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB105, constB106)) | (~(((~v123(constB106, 2)) <=> v121(constB105, 2)) | ((~v123(constB106, 1)) <=> v121(constB105, 1)) | ((~v123(constB106, 0)) <=> v121(constB105, 0))))),
% 15.68/10.88 inference(modus_ponens,[status(thm)],[16423, 16422])).
% 15.68/10.88 tff(16425,plain,
% 15.68/10.88 (~(((~v123(constB106, 2)) <=> v121(constB105, 2)) | ((~v123(constB106, 1)) <=> v121(constB105, 1)) | ((~v123(constB106, 0)) <=> v121(constB105, 0)))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16424, 5943, 842])).
% 15.68/10.88 tff(16426,plain,
% 15.68/10.88 ((((~v123(constB106, 2)) <=> v121(constB105, 2)) | ((~v123(constB106, 1)) <=> v121(constB105, 1)) | ((~v123(constB106, 0)) <=> v121(constB105, 0))) | (~((~v123(constB106, 2)) <=> v121(constB105, 2)))),
% 15.68/10.88 inference(tautology,[status(thm)],[])).
% 15.68/10.88 tff(16427,plain,
% 15.68/10.88 (~((~v123(constB106, 2)) <=> v121(constB105, 2))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16426, 16425])).
% 15.68/10.88 tff(16428,plain,
% 15.68/10.88 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB105) <=> v26(constB105))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(16429,plain,
% 15.68/10.88 (v105(constB105) <=> v26(constB105)),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16428, 861])).
% 15.68/10.88 tff(16430,plain,
% 15.68/10.88 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB105))),
% 15.68/10.88 inference(quant_inst,[status(thm)],[])).
% 15.68/10.88 tff(16431,plain,
% 15.68/10.88 (~v26(constB105)),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16430, 873])).
% 15.68/10.88 tff(16432,plain,
% 15.68/10.88 ((~(v105(constB105) <=> v26(constB105))) | (~v105(constB105)) | v26(constB105)),
% 15.68/10.88 inference(tautology,[status(thm)],[])).
% 15.68/10.88 tff(16433,plain,
% 15.68/10.88 ((~(v105(constB105) <=> v26(constB105))) | (~v105(constB105))),
% 15.68/10.88 inference(unit_resolution,[status(thm)],[16432, 16431])).
% 15.68/10.89 tff(16434,plain,
% 15.68/10.89 (~v105(constB105)),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16433, 16429])).
% 15.68/10.89 tff(16435,plain,
% 15.68/10.89 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB105) | (~(((~v121(constB105, 2)) <=> v124(constB105, 2)) | ((~v121(constB105, 0)) <=> v124(constB105, 0)) | ((~v121(constB105, 1)) <=> v124(constB105, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB105) | (~(((~v121(constB105, 2)) <=> v124(constB105, 2)) | ((~v121(constB105, 0)) <=> v124(constB105, 0)) | ((~v121(constB105, 1)) <=> v124(constB105, 1)))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(16436,plain,
% 15.68/10.89 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB105) | (~(((~v121(constB105, 2)) <=> v124(constB105, 2)) | ((~v121(constB105, 0)) <=> v124(constB105, 0)) | ((~v121(constB105, 1)) <=> v124(constB105, 1)))))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(16437,plain,
% 15.68/10.89 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB105) | (~(((~v121(constB105, 2)) <=> v124(constB105, 2)) | ((~v121(constB105, 0)) <=> v124(constB105, 0)) | ((~v121(constB105, 1)) <=> v124(constB105, 1))))),
% 15.68/10.89 inference(modus_ponens,[status(thm)],[16436, 16435])).
% 15.68/10.89 tff(16438,plain,
% 15.68/10.89 (v105(constB105) | (~(((~v121(constB105, 2)) <=> v124(constB105, 2)) | ((~v121(constB105, 0)) <=> v124(constB105, 0)) | ((~v121(constB105, 1)) <=> v124(constB105, 1))))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16437, 891])).
% 15.68/10.89 tff(16439,plain,
% 15.68/10.89 (~(((~v121(constB105, 2)) <=> v124(constB105, 2)) | ((~v121(constB105, 0)) <=> v124(constB105, 0)) | ((~v121(constB105, 1)) <=> v124(constB105, 1)))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16438, 16434])).
% 15.68/10.89 tff(16440,plain,
% 15.68/10.89 ((((~v121(constB105, 2)) <=> v124(constB105, 2)) | ((~v121(constB105, 0)) <=> v124(constB105, 0)) | ((~v121(constB105, 1)) <=> v124(constB105, 1))) | (~((~v121(constB105, 2)) <=> v124(constB105, 2)))),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(16441,plain,
% 15.68/10.89 (~((~v121(constB105, 2)) <=> v124(constB105, 2))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16440, 16439])).
% 15.68/10.89 tff(16442,plain,
% 15.68/10.89 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB105) <=> (~(v84(constB105, 0) | v84(constB105, 1) | v84(constB105, 2))))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(16443,plain,
% 15.68/10.89 (v113(constB105) <=> (~(v84(constB105, 0) | v84(constB105, 1) | v84(constB105, 2)))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16442, 1466])).
% 15.68/10.89 tff(16444,plain,
% 15.68/10.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB104, constB105)) | (v94(constB105) <=> (~((~v95(constB105)) | (~v104(constB105))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB104, constB105)) | (v94(constB105) <=> (~((~v95(constB105)) | (~v104(constB105))))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(16445,plain,
% 15.68/10.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB104, constB105)) | (v94(constB105) <=> (~((~v95(constB105)) | (~v104(constB105))))))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(16446,plain,
% 15.68/10.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB104, constB105)) | (v94(constB105) <=> (~((~v95(constB105)) | (~v104(constB105)))))),
% 15.68/10.89 inference(modus_ponens,[status(thm)],[16445, 16444])).
% 15.68/10.89 tff(16447,plain,
% 15.68/10.89 (v94(constB105) <=> (~((~v95(constB105)) | (~v104(constB105))))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16446, 6037, 770])).
% 15.68/10.89 tff(16448,plain,
% 15.68/10.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105))))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(16449,plain,
% 15.68/10.89 (((~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v96(constB105)) | (~v1(constB105)))))) <=> ((~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105))))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(16450,plain,
% 15.68/10.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v96(constB105)) | (~v1(constB105))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105)))))))),
% 15.68/10.89 inference(monotonicity,[status(thm)],[16449])).
% 15.68/10.89 tff(16451,plain,
% 15.68/10.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v96(constB105)) | (~v1(constB105))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105))))))),
% 15.68/10.89 inference(transitivity,[status(thm)],[16450, 16448])).
% 15.68/10.89 tff(16452,plain,
% 15.68/10.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v96(constB105)) | (~v1(constB105))))))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(16453,plain,
% 15.68/10.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105)))))),
% 15.68/10.89 inference(modus_ponens,[status(thm)],[16452, 16451])).
% 15.68/10.89 tff(16454,plain,
% 15.68/10.89 (v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105))))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16453, 6037, 790])).
% 15.68/10.89 tff(16455,plain,
% 15.68/10.89 (((~v1(constB105)) | (~v96(constB105))) | v1(constB105)),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(16456,plain,
% 15.68/10.89 ((~v1(constB105)) | (~v96(constB105))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16455, 6007])).
% 15.68/10.89 tff(16457,plain,
% 15.68/10.89 ((~(v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105)))))) | (~v95(constB105)) | (~((~v1(constB105)) | (~v96(constB105))))),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(16458,plain,
% 15.68/10.89 ((~(v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105)))))) | (~v95(constB105))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16457, 16456])).
% 15.68/10.89 tff(16459,plain,
% 15.68/10.89 (~v95(constB105)),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16458, 16454])).
% 15.68/10.89 tff(16460,plain,
% 15.68/10.89 (((~v95(constB105)) | (~v104(constB105))) | v95(constB105)),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(16461,plain,
% 15.68/10.89 ((~v95(constB105)) | (~v104(constB105))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16460, 16459])).
% 15.68/10.89 tff(16462,plain,
% 15.68/10.89 ((~(v94(constB105) <=> (~((~v95(constB105)) | (~v104(constB105)))))) | (~v94(constB105)) | (~((~v95(constB105)) | (~v104(constB105))))),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(16463,plain,
% 15.68/10.89 (~v94(constB105)),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16462, 16461, 16447])).
% 15.68/10.89 tff(16464,plain,
% 15.68/10.89 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB105) | (~nextState(constB104, constB105)) | (~(((~v84(constB105, 1)) <=> v84(constB104, 1)) | ((~v84(constB105, 2)) <=> v84(constB104, 2)) | ((~v84(constB105, 0)) <=> v84(constB104, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB105) | (~nextState(constB104, constB105)) | (~(((~v84(constB105, 1)) <=> v84(constB104, 1)) | ((~v84(constB105, 2)) <=> v84(constB104, 2)) | ((~v84(constB105, 0)) <=> v84(constB104, 0)))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(16465,plain,
% 15.68/10.89 ((v94(constB105) | (~nextState(constB104, constB105)) | (~(((~v84(constB105, 2)) <=> v84(constB104, 2)) | ((~v84(constB105, 1)) <=> v84(constB104, 1)) | ((~v84(constB105, 0)) <=> v84(constB104, 0))))) <=> (v94(constB105) | (~nextState(constB104, constB105)) | (~(((~v84(constB105, 1)) <=> v84(constB104, 1)) | ((~v84(constB105, 2)) <=> v84(constB104, 2)) | ((~v84(constB105, 0)) <=> v84(constB104, 0)))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(16466,plain,
% 15.68/10.89 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB105) | (~nextState(constB104, constB105)) | (~(((~v84(constB105, 2)) <=> v84(constB104, 2)) | ((~v84(constB105, 1)) <=> v84(constB104, 1)) | ((~v84(constB105, 0)) <=> v84(constB104, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB105) | (~nextState(constB104, constB105)) | (~(((~v84(constB105, 1)) <=> v84(constB104, 1)) | ((~v84(constB105, 2)) <=> v84(constB104, 2)) | ((~v84(constB105, 0)) <=> v84(constB104, 0))))))),
% 15.68/10.89 inference(monotonicity,[status(thm)],[16465])).
% 15.68/10.89 tff(16467,plain,
% 15.68/10.89 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB105) | (~nextState(constB104, constB105)) | (~(((~v84(constB105, 2)) <=> v84(constB104, 2)) | ((~v84(constB105, 1)) <=> v84(constB104, 1)) | ((~v84(constB105, 0)) <=> v84(constB104, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB105) | (~nextState(constB104, constB105)) | (~(((~v84(constB105, 1)) <=> v84(constB104, 1)) | ((~v84(constB105, 2)) <=> v84(constB104, 2)) | ((~v84(constB105, 0)) <=> v84(constB104, 0)))))),
% 15.68/10.89 inference(transitivity,[status(thm)],[16466, 16464])).
% 15.68/10.89 tff(16468,plain,
% 15.68/10.89 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB105) | (~nextState(constB104, constB105)) | (~(((~v84(constB105, 2)) <=> v84(constB104, 2)) | ((~v84(constB105, 1)) <=> v84(constB104, 1)) | ((~v84(constB105, 0)) <=> v84(constB104, 0)))))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(16469,plain,
% 15.68/10.89 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB105) | (~nextState(constB104, constB105)) | (~(((~v84(constB105, 1)) <=> v84(constB104, 1)) | ((~v84(constB105, 2)) <=> v84(constB104, 2)) | ((~v84(constB105, 0)) <=> v84(constB104, 0))))),
% 15.68/10.89 inference(modus_ponens,[status(thm)],[16468, 16467])).
% 15.68/10.89 tff(16470,plain,
% 15.68/10.89 (v94(constB105) | (~(((~v84(constB105, 1)) <=> v84(constB104, 1)) | ((~v84(constB105, 2)) <=> v84(constB104, 2)) | ((~v84(constB105, 0)) <=> v84(constB104, 0))))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16469, 6037, 819])).
% 15.68/10.89 tff(16471,plain,
% 15.68/10.89 (~(((~v84(constB105, 1)) <=> v84(constB104, 1)) | ((~v84(constB105, 2)) <=> v84(constB104, 2)) | ((~v84(constB105, 0)) <=> v84(constB104, 0)))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16470, 16463])).
% 15.68/10.89 tff(16472,plain,
% 15.68/10.89 ((((~v84(constB105, 1)) <=> v84(constB104, 1)) | ((~v84(constB105, 2)) <=> v84(constB104, 2)) | ((~v84(constB105, 0)) <=> v84(constB104, 0))) | (~((~v84(constB105, 2)) <=> v84(constB104, 2)))),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(16473,plain,
% 15.68/10.89 (~((~v84(constB105, 2)) <=> v84(constB104, 2))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16472, 16471])).
% 15.68/10.89 tff(16474,plain,
% 15.68/10.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB103, constB104)) | (~(((~v123(constB104, 2)) <=> v121(constB103, 2)) | ((~v123(constB104, 1)) <=> v121(constB103, 1)) | ((~v123(constB104, 0)) <=> v121(constB103, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB103, constB104)) | (~(((~v123(constB104, 2)) <=> v121(constB103, 2)) | ((~v123(constB104, 1)) <=> v121(constB103, 1)) | ((~v123(constB104, 0)) <=> v121(constB103, 0)))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(16475,plain,
% 15.68/10.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB103, constB104)) | (~(((~v123(constB104, 2)) <=> v121(constB103, 2)) | ((~v123(constB104, 1)) <=> v121(constB103, 1)) | ((~v123(constB104, 0)) <=> v121(constB103, 0)))))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(16476,plain,
% 15.68/10.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB103, constB104)) | (~(((~v123(constB104, 2)) <=> v121(constB103, 2)) | ((~v123(constB104, 1)) <=> v121(constB103, 1)) | ((~v123(constB104, 0)) <=> v121(constB103, 0))))),
% 15.68/10.89 inference(modus_ponens,[status(thm)],[16475, 16474])).
% 15.68/10.89 tff(16477,plain,
% 15.68/10.89 (~(((~v123(constB104, 2)) <=> v121(constB103, 2)) | ((~v123(constB104, 1)) <=> v121(constB103, 1)) | ((~v123(constB104, 0)) <=> v121(constB103, 0)))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16476, 6093, 842])).
% 15.68/10.89 tff(16478,plain,
% 15.68/10.89 ((((~v123(constB104, 2)) <=> v121(constB103, 2)) | ((~v123(constB104, 1)) <=> v121(constB103, 1)) | ((~v123(constB104, 0)) <=> v121(constB103, 0))) | (~((~v123(constB104, 2)) <=> v121(constB103, 2)))),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(16479,plain,
% 15.68/10.89 (~((~v123(constB104, 2)) <=> v121(constB103, 2))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16478, 16477])).
% 15.68/10.89 tff(16480,plain,
% 15.68/10.89 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB103) <=> v26(constB103))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(16481,plain,
% 15.68/10.89 (v105(constB103) <=> v26(constB103)),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16480, 861])).
% 15.68/10.89 tff(16482,plain,
% 15.68/10.89 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB103))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(16483,plain,
% 15.68/10.89 (~v26(constB103)),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16482, 873])).
% 15.68/10.89 tff(16484,plain,
% 15.68/10.89 ((~(v105(constB103) <=> v26(constB103))) | (~v105(constB103)) | v26(constB103)),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(16485,plain,
% 15.68/10.89 ((~(v105(constB103) <=> v26(constB103))) | (~v105(constB103))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16484, 16483])).
% 15.68/10.89 tff(16486,plain,
% 15.68/10.89 (~v105(constB103)),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16485, 16481])).
% 15.68/10.89 tff(16487,plain,
% 15.68/10.89 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB103) | (~(((~v121(constB103, 2)) <=> v124(constB103, 2)) | ((~v121(constB103, 0)) <=> v124(constB103, 0)) | ((~v121(constB103, 1)) <=> v124(constB103, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB103) | (~(((~v121(constB103, 2)) <=> v124(constB103, 2)) | ((~v121(constB103, 0)) <=> v124(constB103, 0)) | ((~v121(constB103, 1)) <=> v124(constB103, 1)))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(16488,plain,
% 15.68/10.89 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB103) | (~(((~v121(constB103, 2)) <=> v124(constB103, 2)) | ((~v121(constB103, 0)) <=> v124(constB103, 0)) | ((~v121(constB103, 1)) <=> v124(constB103, 1)))))),
% 15.68/10.89 inference(quant_inst,[status(thm)],[])).
% 15.68/10.89 tff(16489,plain,
% 15.68/10.89 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB103) | (~(((~v121(constB103, 2)) <=> v124(constB103, 2)) | ((~v121(constB103, 0)) <=> v124(constB103, 0)) | ((~v121(constB103, 1)) <=> v124(constB103, 1))))),
% 15.68/10.89 inference(modus_ponens,[status(thm)],[16488, 16487])).
% 15.68/10.89 tff(16490,plain,
% 15.68/10.89 (v105(constB103) | (~(((~v121(constB103, 2)) <=> v124(constB103, 2)) | ((~v121(constB103, 0)) <=> v124(constB103, 0)) | ((~v121(constB103, 1)) <=> v124(constB103, 1))))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16489, 891])).
% 15.68/10.89 tff(16491,plain,
% 15.68/10.89 (~(((~v121(constB103, 2)) <=> v124(constB103, 2)) | ((~v121(constB103, 0)) <=> v124(constB103, 0)) | ((~v121(constB103, 1)) <=> v124(constB103, 1)))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16490, 16486])).
% 15.68/10.89 tff(16492,plain,
% 15.68/10.89 ((((~v121(constB103, 2)) <=> v124(constB103, 2)) | ((~v121(constB103, 0)) <=> v124(constB103, 0)) | ((~v121(constB103, 1)) <=> v124(constB103, 1))) | (~((~v121(constB103, 2)) <=> v124(constB103, 2)))),
% 15.68/10.89 inference(tautology,[status(thm)],[])).
% 15.68/10.89 tff(16493,plain,
% 15.68/10.89 (~((~v121(constB103, 2)) <=> v124(constB103, 2))),
% 15.68/10.89 inference(unit_resolution,[status(thm)],[16492, 16491])).
% 15.68/10.89 tff(16494,plain,
% 15.68/10.89 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB103) <=> (~(v84(constB103, 1) | v84(constB103, 0) | (~v84(constB103, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB103) <=> (~(v84(constB103, 1) | v84(constB103, 0) | (~v84(constB103, 2))))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(16495,plain,
% 15.68/10.89 ((v117(constB103) <=> (~(v84(constB103, 0) | v84(constB103, 1) | (~v84(constB103, 2))))) <=> (v117(constB103) <=> (~(v84(constB103, 1) | v84(constB103, 0) | (~v84(constB103, 2)))))),
% 15.68/10.89 inference(rewrite,[status(thm)],[])).
% 15.68/10.89 tff(16496,plain,
% 15.68/10.89 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB103) <=> (~(v84(constB103, 0) | v84(constB103, 1) | (~v84(constB103, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB103) <=> (~(v84(constB103, 1) | v84(constB103, 0) | (~v84(constB103, 2))))))),
% 15.68/10.90 inference(monotonicity,[status(thm)],[16495])).
% 15.68/10.90 tff(16497,plain,
% 15.68/10.90 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB103) <=> (~(v84(constB103, 0) | v84(constB103, 1) | (~v84(constB103, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB103) <=> (~(v84(constB103, 1) | v84(constB103, 0) | (~v84(constB103, 2))))))),
% 15.68/10.90 inference(transitivity,[status(thm)],[16496, 16494])).
% 15.68/10.90 tff(16498,plain,
% 15.68/10.90 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB103) <=> (~(v84(constB103, 0) | v84(constB103, 1) | (~v84(constB103, 2)))))),
% 15.68/10.90 inference(quant_inst,[status(thm)],[])).
% 15.68/10.90 tff(16499,plain,
% 15.68/10.90 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB103) <=> (~(v84(constB103, 1) | v84(constB103, 0) | (~v84(constB103, 2)))))),
% 15.68/10.90 inference(modus_ponens,[status(thm)],[16498, 16497])).
% 15.68/10.90 tff(16500,plain,
% 15.68/10.90 (v117(constB103) <=> (~(v84(constB103, 1) | v84(constB103, 0) | (~v84(constB103, 2))))),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16499, 1199])).
% 15.68/10.90 tff(16501,plain,
% 15.68/10.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB102, constB103)) | (v94(constB103) <=> (~((~v95(constB103)) | (~v104(constB103))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB102, constB103)) | (v94(constB103) <=> (~((~v95(constB103)) | (~v104(constB103))))))),
% 15.68/10.90 inference(rewrite,[status(thm)],[])).
% 15.68/10.90 tff(16502,plain,
% 15.68/10.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB102, constB103)) | (v94(constB103) <=> (~((~v95(constB103)) | (~v104(constB103))))))),
% 15.68/10.90 inference(quant_inst,[status(thm)],[])).
% 15.68/10.90 tff(16503,plain,
% 15.68/10.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB102, constB103)) | (v94(constB103) <=> (~((~v95(constB103)) | (~v104(constB103)))))),
% 15.68/10.90 inference(modus_ponens,[status(thm)],[16502, 16501])).
% 15.68/10.90 tff(16504,plain,
% 15.68/10.90 (v94(constB103) <=> (~((~v95(constB103)) | (~v104(constB103))))),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16503, 6187, 770])).
% 15.68/10.90 tff(16505,plain,
% 15.68/10.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103))))))),
% 15.68/10.90 inference(rewrite,[status(thm)],[])).
% 15.68/10.90 tff(16506,plain,
% 15.68/10.90 (((~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v96(constB103)) | (~v1(constB103)))))) <=> ((~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103))))))),
% 15.68/10.90 inference(rewrite,[status(thm)],[])).
% 15.68/10.90 tff(16507,plain,
% 15.68/10.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v96(constB103)) | (~v1(constB103))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103)))))))),
% 15.68/10.90 inference(monotonicity,[status(thm)],[16506])).
% 15.68/10.90 tff(16508,plain,
% 15.68/10.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v96(constB103)) | (~v1(constB103))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103))))))),
% 15.68/10.90 inference(transitivity,[status(thm)],[16507, 16505])).
% 15.68/10.90 tff(16509,plain,
% 15.68/10.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v96(constB103)) | (~v1(constB103))))))),
% 15.68/10.90 inference(quant_inst,[status(thm)],[])).
% 15.68/10.90 tff(16510,plain,
% 15.68/10.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103)))))),
% 15.68/10.90 inference(modus_ponens,[status(thm)],[16509, 16508])).
% 15.68/10.90 tff(16511,plain,
% 15.68/10.90 (v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103))))),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16510, 6187, 790])).
% 15.68/10.90 tff(16512,plain,
% 15.68/10.90 (((~v1(constB103)) | (~v96(constB103))) | v1(constB103)),
% 15.68/10.90 inference(tautology,[status(thm)],[])).
% 15.68/10.90 tff(16513,plain,
% 15.68/10.90 ((~v1(constB103)) | (~v96(constB103))),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16512, 6157])).
% 15.68/10.90 tff(16514,plain,
% 15.68/10.90 ((~(v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103)))))) | (~v95(constB103)) | (~((~v1(constB103)) | (~v96(constB103))))),
% 15.68/10.90 inference(tautology,[status(thm)],[])).
% 15.68/10.90 tff(16515,plain,
% 15.68/10.90 ((~(v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103)))))) | (~v95(constB103))),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16514, 16513])).
% 15.68/10.90 tff(16516,plain,
% 15.68/10.90 (~v95(constB103)),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16515, 16511])).
% 15.68/10.90 tff(16517,plain,
% 15.68/10.90 (((~v95(constB103)) | (~v104(constB103))) | v95(constB103)),
% 15.68/10.90 inference(tautology,[status(thm)],[])).
% 15.68/10.90 tff(16518,plain,
% 15.68/10.90 ((~v95(constB103)) | (~v104(constB103))),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16517, 16516])).
% 15.68/10.90 tff(16519,plain,
% 15.68/10.90 ((~(v94(constB103) <=> (~((~v95(constB103)) | (~v104(constB103)))))) | (~v94(constB103)) | (~((~v95(constB103)) | (~v104(constB103))))),
% 15.68/10.90 inference(tautology,[status(thm)],[])).
% 15.68/10.90 tff(16520,plain,
% 15.68/10.90 (~v94(constB103)),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16519, 16518, 16504])).
% 15.68/10.90 tff(16521,plain,
% 15.68/10.90 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB103) | (~nextState(constB102, constB103)) | (~(((~v84(constB103, 1)) <=> v84(constB102, 1)) | ((~v84(constB103, 2)) <=> v84(constB102, 2)) | ((~v84(constB103, 0)) <=> v84(constB102, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB103) | (~nextState(constB102, constB103)) | (~(((~v84(constB103, 1)) <=> v84(constB102, 1)) | ((~v84(constB103, 2)) <=> v84(constB102, 2)) | ((~v84(constB103, 0)) <=> v84(constB102, 0)))))),
% 15.68/10.90 inference(rewrite,[status(thm)],[])).
% 15.68/10.90 tff(16522,plain,
% 15.68/10.90 ((v94(constB103) | (~nextState(constB102, constB103)) | (~(((~v84(constB103, 2)) <=> v84(constB102, 2)) | ((~v84(constB103, 1)) <=> v84(constB102, 1)) | ((~v84(constB103, 0)) <=> v84(constB102, 0))))) <=> (v94(constB103) | (~nextState(constB102, constB103)) | (~(((~v84(constB103, 1)) <=> v84(constB102, 1)) | ((~v84(constB103, 2)) <=> v84(constB102, 2)) | ((~v84(constB103, 0)) <=> v84(constB102, 0)))))),
% 15.68/10.90 inference(rewrite,[status(thm)],[])).
% 15.68/10.90 tff(16523,plain,
% 15.68/10.90 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB103) | (~nextState(constB102, constB103)) | (~(((~v84(constB103, 2)) <=> v84(constB102, 2)) | ((~v84(constB103, 1)) <=> v84(constB102, 1)) | ((~v84(constB103, 0)) <=> v84(constB102, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB103) | (~nextState(constB102, constB103)) | (~(((~v84(constB103, 1)) <=> v84(constB102, 1)) | ((~v84(constB103, 2)) <=> v84(constB102, 2)) | ((~v84(constB103, 0)) <=> v84(constB102, 0))))))),
% 15.68/10.90 inference(monotonicity,[status(thm)],[16522])).
% 15.68/10.90 tff(16524,plain,
% 15.68/10.90 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB103) | (~nextState(constB102, constB103)) | (~(((~v84(constB103, 2)) <=> v84(constB102, 2)) | ((~v84(constB103, 1)) <=> v84(constB102, 1)) | ((~v84(constB103, 0)) <=> v84(constB102, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB103) | (~nextState(constB102, constB103)) | (~(((~v84(constB103, 1)) <=> v84(constB102, 1)) | ((~v84(constB103, 2)) <=> v84(constB102, 2)) | ((~v84(constB103, 0)) <=> v84(constB102, 0)))))),
% 15.68/10.90 inference(transitivity,[status(thm)],[16523, 16521])).
% 15.68/10.90 tff(16525,plain,
% 15.68/10.90 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB103) | (~nextState(constB102, constB103)) | (~(((~v84(constB103, 2)) <=> v84(constB102, 2)) | ((~v84(constB103, 1)) <=> v84(constB102, 1)) | ((~v84(constB103, 0)) <=> v84(constB102, 0)))))),
% 15.68/10.90 inference(quant_inst,[status(thm)],[])).
% 15.68/10.90 tff(16526,plain,
% 15.68/10.90 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB103) | (~nextState(constB102, constB103)) | (~(((~v84(constB103, 1)) <=> v84(constB102, 1)) | ((~v84(constB103, 2)) <=> v84(constB102, 2)) | ((~v84(constB103, 0)) <=> v84(constB102, 0))))),
% 15.68/10.90 inference(modus_ponens,[status(thm)],[16525, 16524])).
% 15.68/10.90 tff(16527,plain,
% 15.68/10.90 (v94(constB103) | (~(((~v84(constB103, 1)) <=> v84(constB102, 1)) | ((~v84(constB103, 2)) <=> v84(constB102, 2)) | ((~v84(constB103, 0)) <=> v84(constB102, 0))))),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16526, 6187, 819])).
% 15.68/10.90 tff(16528,plain,
% 15.68/10.90 (~(((~v84(constB103, 1)) <=> v84(constB102, 1)) | ((~v84(constB103, 2)) <=> v84(constB102, 2)) | ((~v84(constB103, 0)) <=> v84(constB102, 0)))),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16527, 16520])).
% 15.68/10.90 tff(16529,plain,
% 15.68/10.90 ((((~v84(constB103, 1)) <=> v84(constB102, 1)) | ((~v84(constB103, 2)) <=> v84(constB102, 2)) | ((~v84(constB103, 0)) <=> v84(constB102, 0))) | (~((~v84(constB103, 2)) <=> v84(constB102, 2)))),
% 15.68/10.90 inference(tautology,[status(thm)],[])).
% 15.68/10.90 tff(16530,plain,
% 15.68/10.90 (~((~v84(constB103, 2)) <=> v84(constB102, 2))),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16529, 16528])).
% 15.68/10.90 tff(16531,plain,
% 15.68/10.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB101, constB102)) | (~(((~v123(constB102, 2)) <=> v121(constB101, 2)) | ((~v123(constB102, 1)) <=> v121(constB101, 1)) | ((~v123(constB102, 0)) <=> v121(constB101, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB101, constB102)) | (~(((~v123(constB102, 2)) <=> v121(constB101, 2)) | ((~v123(constB102, 1)) <=> v121(constB101, 1)) | ((~v123(constB102, 0)) <=> v121(constB101, 0)))))),
% 15.68/10.90 inference(rewrite,[status(thm)],[])).
% 15.68/10.90 tff(16532,plain,
% 15.68/10.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB101, constB102)) | (~(((~v123(constB102, 2)) <=> v121(constB101, 2)) | ((~v123(constB102, 1)) <=> v121(constB101, 1)) | ((~v123(constB102, 0)) <=> v121(constB101, 0)))))),
% 15.68/10.90 inference(quant_inst,[status(thm)],[])).
% 15.68/10.90 tff(16533,plain,
% 15.68/10.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB101, constB102)) | (~(((~v123(constB102, 2)) <=> v121(constB101, 2)) | ((~v123(constB102, 1)) <=> v121(constB101, 1)) | ((~v123(constB102, 0)) <=> v121(constB101, 0))))),
% 15.68/10.90 inference(modus_ponens,[status(thm)],[16532, 16531])).
% 15.68/10.90 tff(16534,plain,
% 15.68/10.90 (~(((~v123(constB102, 2)) <=> v121(constB101, 2)) | ((~v123(constB102, 1)) <=> v121(constB101, 1)) | ((~v123(constB102, 0)) <=> v121(constB101, 0)))),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16533, 6233, 842])).
% 15.68/10.90 tff(16535,plain,
% 15.68/10.90 ((((~v123(constB102, 2)) <=> v121(constB101, 2)) | ((~v123(constB102, 1)) <=> v121(constB101, 1)) | ((~v123(constB102, 0)) <=> v121(constB101, 0))) | (~((~v123(constB102, 2)) <=> v121(constB101, 2)))),
% 15.68/10.90 inference(tautology,[status(thm)],[])).
% 15.68/10.90 tff(16536,plain,
% 15.68/10.90 (~((~v123(constB102, 2)) <=> v121(constB101, 2))),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16535, 16534])).
% 15.68/10.90 tff(16537,plain,
% 15.68/10.90 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB101) <=> v26(constB101))),
% 15.68/10.90 inference(quant_inst,[status(thm)],[])).
% 15.68/10.90 tff(16538,plain,
% 15.68/10.90 (v105(constB101) <=> v26(constB101)),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16537, 861])).
% 15.68/10.90 tff(16539,plain,
% 15.68/10.90 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB101))),
% 15.68/10.90 inference(quant_inst,[status(thm)],[])).
% 15.68/10.90 tff(16540,plain,
% 15.68/10.90 (~v26(constB101)),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16539, 873])).
% 15.68/10.90 tff(16541,plain,
% 15.68/10.90 ((~(v105(constB101) <=> v26(constB101))) | (~v105(constB101)) | v26(constB101)),
% 15.68/10.90 inference(tautology,[status(thm)],[])).
% 15.68/10.90 tff(16542,plain,
% 15.68/10.90 ((~(v105(constB101) <=> v26(constB101))) | (~v105(constB101))),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16541, 16540])).
% 15.68/10.90 tff(16543,plain,
% 15.68/10.90 (~v105(constB101)),
% 15.68/10.90 inference(unit_resolution,[status(thm)],[16542, 16538])).
% 15.68/10.90 tff(16544,plain,
% 15.68/10.90 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB101) | (~(((~v121(constB101, 2)) <=> v124(constB101, 2)) | ((~v121(constB101, 0)) <=> v124(constB101, 0)) | ((~v121(constB101, 1)) <=> v124(constB101, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB101) | (~(((~v121(constB101, 2)) <=> v124(constB101, 2)) | ((~v121(constB101, 0)) <=> v124(constB101, 0)) | ((~v121(constB101, 1)) <=> v124(constB101, 1)))))),
% 15.68/10.91 inference(rewrite,[status(thm)],[])).
% 15.68/10.91 tff(16545,plain,
% 15.68/10.91 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB101) | (~(((~v121(constB101, 2)) <=> v124(constB101, 2)) | ((~v121(constB101, 0)) <=> v124(constB101, 0)) | ((~v121(constB101, 1)) <=> v124(constB101, 1)))))),
% 15.68/10.91 inference(quant_inst,[status(thm)],[])).
% 15.68/10.91 tff(16546,plain,
% 15.68/10.91 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB101) | (~(((~v121(constB101, 2)) <=> v124(constB101, 2)) | ((~v121(constB101, 0)) <=> v124(constB101, 0)) | ((~v121(constB101, 1)) <=> v124(constB101, 1))))),
% 15.68/10.91 inference(modus_ponens,[status(thm)],[16545, 16544])).
% 15.68/10.91 tff(16547,plain,
% 15.68/10.91 (v105(constB101) | (~(((~v121(constB101, 2)) <=> v124(constB101, 2)) | ((~v121(constB101, 0)) <=> v124(constB101, 0)) | ((~v121(constB101, 1)) <=> v124(constB101, 1))))),
% 15.68/10.91 inference(unit_resolution,[status(thm)],[16546, 891])).
% 15.68/10.91 tff(16548,plain,
% 15.68/10.91 (~(((~v121(constB101, 2)) <=> v124(constB101, 2)) | ((~v121(constB101, 0)) <=> v124(constB101, 0)) | ((~v121(constB101, 1)) <=> v124(constB101, 1)))),
% 15.68/10.91 inference(unit_resolution,[status(thm)],[16547, 16543])).
% 15.68/10.91 tff(16549,plain,
% 15.68/10.91 ((((~v121(constB101, 2)) <=> v124(constB101, 2)) | ((~v121(constB101, 0)) <=> v124(constB101, 0)) | ((~v121(constB101, 1)) <=> v124(constB101, 1))) | (~((~v121(constB101, 2)) <=> v124(constB101, 2)))),
% 15.68/10.91 inference(tautology,[status(thm)],[])).
% 15.68/10.91 tff(16550,plain,
% 15.68/10.91 (~((~v121(constB101, 2)) <=> v124(constB101, 2))),
% 15.68/10.91 inference(unit_resolution,[status(thm)],[16549, 16548])).
% 15.68/10.91 tff(16551,plain,
% 15.68/10.91 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB101) <=> (~(v84(constB101, 2) | (~v84(constB101, 1)) | (~v84(constB101, 0)))))),
% 15.68/10.91 inference(quant_inst,[status(thm)],[])).
% 15.68/10.91 tff(16552,plain,
% 15.68/10.91 (v116(constB101) <=> (~(v84(constB101, 2) | (~v84(constB101, 1)) | (~v84(constB101, 0))))),
% 15.68/10.91 inference(unit_resolution,[status(thm)],[16551, 911])).
% 15.68/10.91 tff(16553,plain,
% 15.68/10.91 ((((~v84(constB101, 1)) <=> v84(constB100, 1)) | ((~v84(constB101, 2)) <=> v84(constB100, 2)) | ((~v84(constB101, 0)) <=> v84(constB100, 0))) | (~((~v84(constB101, 2)) <=> v84(constB100, 2)))),
% 15.68/10.91 inference(tautology,[status(thm)],[])).
% 15.68/10.91 tff(16554,plain,
% 15.68/10.91 (~((~v84(constB101, 2)) <=> v84(constB100, 2))),
% 15.68/10.91 inference(unit_resolution,[status(thm)],[16553, 6352])).
% 15.68/10.91 tff(16555,plain,
% 15.68/10.91 ((((~v123(constB100, 2)) <=> v121(constB99, 2)) | ((~v123(constB100, 1)) <=> v121(constB99, 1)) | ((~v123(constB100, 0)) <=> v121(constB99, 0))) | (~((~v123(constB100, 2)) <=> v121(constB99, 2)))),
% 15.68/10.91 inference(tautology,[status(thm)],[])).
% 15.68/10.91 tff(16556,plain,
% 15.68/10.91 (~((~v123(constB100, 2)) <=> v121(constB99, 2))),
% 15.68/10.91 inference(unit_resolution,[status(thm)],[16555, 6361])).
% 15.68/10.91 tff(16557,plain,
% 15.68/10.91 ((((~v121(constB99, 2)) <=> v124(constB99, 2)) | ((~v121(constB99, 0)) <=> v124(constB99, 0)) | ((~v121(constB99, 1)) <=> v124(constB99, 1))) | (~((~v121(constB99, 2)) <=> v124(constB99, 2)))),
% 15.68/10.91 inference(tautology,[status(thm)],[])).
% 15.68/10.91 tff(16558,plain,
% 15.68/10.91 (~((~v121(constB99, 2)) <=> v124(constB99, 2))),
% 15.68/10.91 inference(unit_resolution,[status(thm)],[16557, 6375])).
% 15.68/10.91 tff(16559,plain,
% 15.68/10.91 ((v124(constB99, 2) | (~v124(constB99, 0)) | (~v124(constB99, 1))) | (~v124(constB99, 2))),
% 15.68/10.91 inference(tautology,[status(thm)],[])).
% 15.68/10.91 tff(16560,plain,
% 15.68/10.91 (~v124(constB99, 2)),
% 15.68/10.91 inference(unit_resolution,[status(thm)],[16559, 12625])).
% 15.68/10.91 tff(16561,plain,
% 15.68/10.91 (((~v121(constB99, 2)) <=> v124(constB99, 2)) | (~v121(constB99, 2)) | v124(constB99, 2)),
% 15.68/10.91 inference(tautology,[status(thm)],[])).
% 15.68/10.91 tff(16562,plain,
% 15.68/10.91 (~v121(constB99, 2)),
% 15.68/10.91 inference(unit_resolution,[status(thm)],[16561, 16560, 16558])).
% 15.68/10.91 tff(16563,plain,
% 15.68/10.91 (((~v123(constB100, 2)) <=> v121(constB99, 2)) | (~v123(constB100, 2)) | v121(constB99, 2)),
% 15.68/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16564,plain,
% 15.78/10.91 (~v123(constB100, 2)),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16563, 16562, 16556])).
% 15.78/10.91 tff(16565,plain,
% 15.78/10.91 ((((~v84(constB100, 2)) <=> v123(constB100, 2)) | ((~v84(constB100, 1)) <=> v123(constB100, 1)) | ((~v84(constB100, 0)) <=> v123(constB100, 0))) | (~((~v84(constB100, 2)) <=> v123(constB100, 2)))),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16566,plain,
% 15.78/10.91 (~((~v84(constB100, 2)) <=> v123(constB100, 2))),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16565, 12726])).
% 15.78/10.91 tff(16567,plain,
% 15.78/10.91 (((~v84(constB100, 2)) <=> v123(constB100, 2)) | (~v84(constB100, 2)) | v123(constB100, 2)),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16568,plain,
% 15.78/10.91 (~v84(constB100, 2)),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16567, 16566, 16564])).
% 15.78/10.91 tff(16569,plain,
% 15.78/10.91 (((~v84(constB101, 2)) <=> v84(constB100, 2)) | (~v84(constB101, 2)) | v84(constB100, 2)),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16570,plain,
% 15.78/10.91 (~v84(constB101, 2)),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16569, 16568, 16554])).
% 15.78/10.91 tff(16571,plain,
% 15.78/10.91 ((((~v84(constB101, 1)) <=> v84(constB100, 1)) | ((~v84(constB101, 2)) <=> v84(constB100, 2)) | ((~v84(constB101, 0)) <=> v84(constB100, 0))) | (~((~v84(constB101, 0)) <=> v84(constB100, 0)))),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16572,plain,
% 15.78/10.91 (~((~v84(constB101, 0)) <=> v84(constB100, 0))),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16571, 6352])).
% 15.78/10.91 tff(16573,plain,
% 15.78/10.91 ((((~v123(constB100, 2)) <=> v121(constB99, 2)) | ((~v123(constB100, 1)) <=> v121(constB99, 1)) | ((~v123(constB100, 0)) <=> v121(constB99, 0))) | (~((~v123(constB100, 0)) <=> v121(constB99, 0)))),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16574,plain,
% 15.78/10.91 (~((~v123(constB100, 0)) <=> v121(constB99, 0))),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16573, 6361])).
% 15.78/10.91 tff(16575,plain,
% 15.78/10.91 ((((~v121(constB99, 2)) <=> v124(constB99, 2)) | ((~v121(constB99, 0)) <=> v124(constB99, 0)) | ((~v121(constB99, 1)) <=> v124(constB99, 1))) | (~((~v121(constB99, 0)) <=> v124(constB99, 0)))),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16576,plain,
% 15.78/10.91 (~((~v121(constB99, 0)) <=> v124(constB99, 0))),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16575, 6375])).
% 15.78/10.91 tff(16577,plain,
% 15.78/10.91 ((v124(constB99, 2) | (~v124(constB99, 0)) | (~v124(constB99, 1))) | v124(constB99, 0)),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16578,plain,
% 15.78/10.91 (v124(constB99, 0)),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16577, 12625])).
% 15.78/10.91 tff(16579,plain,
% 15.78/10.91 (((~v121(constB99, 0)) <=> v124(constB99, 0)) | v121(constB99, 0) | (~v124(constB99, 0))),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16580,plain,
% 15.78/10.91 (v121(constB99, 0)),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16579, 16578, 16576])).
% 15.78/10.91 tff(16581,plain,
% 15.78/10.91 (((~v123(constB100, 0)) <=> v121(constB99, 0)) | v123(constB100, 0) | (~v121(constB99, 0))),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16582,plain,
% 15.78/10.91 (v123(constB100, 0)),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16581, 16580, 16574])).
% 15.78/10.91 tff(16583,plain,
% 15.78/10.91 ((((~v84(constB100, 2)) <=> v123(constB100, 2)) | ((~v84(constB100, 1)) <=> v123(constB100, 1)) | ((~v84(constB100, 0)) <=> v123(constB100, 0))) | (~((~v84(constB100, 0)) <=> v123(constB100, 0)))),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16584,plain,
% 15.78/10.91 (~((~v84(constB100, 0)) <=> v123(constB100, 0))),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16583, 12726])).
% 15.78/10.91 tff(16585,plain,
% 15.78/10.91 (((~v84(constB100, 0)) <=> v123(constB100, 0)) | v84(constB100, 0) | (~v123(constB100, 0))),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16586,plain,
% 15.78/10.91 (v84(constB100, 0)),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16585, 16584, 16582])).
% 15.78/10.91 tff(16587,plain,
% 15.78/10.91 (((~v84(constB101, 0)) <=> v84(constB100, 0)) | v84(constB101, 0) | (~v84(constB100, 0))),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16588,plain,
% 15.78/10.91 (v84(constB101, 0)),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16587, 16586, 16572])).
% 15.78/10.91 tff(16589,plain,
% 15.78/10.91 ((~(v84(constB101, 2) | (~v84(constB101, 1)) | (~v84(constB101, 0)))) | v84(constB101, 2) | (~v84(constB101, 1)) | (~v84(constB101, 0))),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16590,plain,
% 15.78/10.91 (~(v84(constB101, 2) | (~v84(constB101, 1)) | (~v84(constB101, 0)))),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16589, 12732, 16588, 16570])).
% 15.78/10.91 tff(16591,plain,
% 15.78/10.91 ((~(v116(constB101) <=> (~(v84(constB101, 2) | (~v84(constB101, 1)) | (~v84(constB101, 0)))))) | v116(constB101) | (v84(constB101, 2) | (~v84(constB101, 1)) | (~v84(constB101, 0)))),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16592,plain,
% 15.78/10.91 (v116(constB101)),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16591, 16590, 16552])).
% 15.78/10.91 tff(16593,plain,
% 15.78/10.91 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB101)) | (~(v124(constB101, 0) | v124(constB101, 1) | (~v124(constB101, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB101)) | (~(v124(constB101, 0) | v124(constB101, 1) | (~v124(constB101, 2)))))),
% 15.78/10.91 inference(rewrite,[status(thm)],[])).
% 15.78/10.91 tff(16594,plain,
% 15.78/10.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB101)) | (~(v124(constB101, 0) | v124(constB101, 1) | (~v124(constB101, 2)))))),
% 15.78/10.91 inference(quant_inst,[status(thm)],[])).
% 15.78/10.91 tff(16595,plain,
% 15.78/10.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB101)) | (~(v124(constB101, 0) | v124(constB101, 1) | (~v124(constB101, 2))))),
% 15.78/10.91 inference(modus_ponens,[status(thm)],[16594, 16593])).
% 15.78/10.91 tff(16596,plain,
% 15.78/10.91 ((~v116(constB101)) | (~(v124(constB101, 0) | v124(constB101, 1) | (~v124(constB101, 2))))),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16595, 3309])).
% 15.78/10.91 tff(16597,plain,
% 15.78/10.91 (~(v124(constB101, 0) | v124(constB101, 1) | (~v124(constB101, 2)))),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16596, 16592])).
% 15.78/10.91 tff(16598,plain,
% 15.78/10.91 ((v124(constB101, 0) | v124(constB101, 1) | (~v124(constB101, 2))) | v124(constB101, 2)),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16599,plain,
% 15.78/10.91 (v124(constB101, 2)),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16598, 16597])).
% 15.78/10.91 tff(16600,plain,
% 15.78/10.91 (((~v121(constB101, 2)) <=> v124(constB101, 2)) | v121(constB101, 2) | (~v124(constB101, 2))),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16601,plain,
% 15.78/10.91 (v121(constB101, 2)),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16600, 16599, 16550])).
% 15.78/10.91 tff(16602,plain,
% 15.78/10.91 (((~v123(constB102, 2)) <=> v121(constB101, 2)) | v123(constB102, 2) | (~v121(constB101, 2))),
% 15.78/10.91 inference(tautology,[status(thm)],[])).
% 15.78/10.91 tff(16603,plain,
% 15.78/10.91 (v123(constB102, 2)),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16602, 16601, 16536])).
% 15.78/10.91 tff(16604,plain,
% 15.78/10.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB101, constB102)) | (v94(constB102) <=> (~((~v95(constB102)) | (~v104(constB102))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB101, constB102)) | (v94(constB102) <=> (~((~v95(constB102)) | (~v104(constB102))))))),
% 15.78/10.91 inference(rewrite,[status(thm)],[])).
% 15.78/10.91 tff(16605,plain,
% 15.78/10.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB101, constB102)) | (v94(constB102) <=> (~((~v95(constB102)) | (~v104(constB102))))))),
% 15.78/10.91 inference(quant_inst,[status(thm)],[])).
% 15.78/10.91 tff(16606,plain,
% 15.78/10.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB101, constB102)) | (v94(constB102) <=> (~((~v95(constB102)) | (~v104(constB102)))))),
% 15.78/10.91 inference(modus_ponens,[status(thm)],[16605, 16604])).
% 15.78/10.91 tff(16607,plain,
% 15.78/10.91 (v94(constB102) <=> (~((~v95(constB102)) | (~v104(constB102))))),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16606, 6233, 770])).
% 15.78/10.91 tff(16608,plain,
% 15.78/10.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102))))))),
% 15.78/10.91 inference(rewrite,[status(thm)],[])).
% 15.78/10.91 tff(16609,plain,
% 15.78/10.91 (((~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v96(constB102)) | (~v1(constB102)))))) <=> ((~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102))))))),
% 15.78/10.91 inference(rewrite,[status(thm)],[])).
% 15.78/10.91 tff(16610,plain,
% 15.78/10.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v96(constB102)) | (~v1(constB102))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102)))))))),
% 15.78/10.91 inference(monotonicity,[status(thm)],[16609])).
% 15.78/10.91 tff(16611,plain,
% 15.78/10.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v96(constB102)) | (~v1(constB102))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102))))))),
% 15.78/10.91 inference(transitivity,[status(thm)],[16610, 16608])).
% 15.78/10.91 tff(16612,plain,
% 15.78/10.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v96(constB102)) | (~v1(constB102))))))),
% 15.78/10.91 inference(quant_inst,[status(thm)],[])).
% 15.78/10.91 tff(16613,plain,
% 15.78/10.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102)))))),
% 15.78/10.91 inference(modus_ponens,[status(thm)],[16612, 16611])).
% 15.78/10.91 tff(16614,plain,
% 15.78/10.91 (v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102))))),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16613, 6233, 790])).
% 15.78/10.91 tff(16615,plain,
% 15.78/10.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB101, constB102)) | ((~v96(constB102)) <=> v98(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB101, constB102)) | ((~v96(constB102)) <=> v98(constB102)))),
% 15.78/10.91 inference(rewrite,[status(thm)],[])).
% 15.78/10.91 tff(16616,plain,
% 15.78/10.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB101, constB102)) | ((~v96(constB102)) <=> v98(constB102)))),
% 15.78/10.91 inference(quant_inst,[status(thm)],[])).
% 15.78/10.91 tff(16617,plain,
% 15.78/10.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB101, constB102)) | ((~v96(constB102)) <=> v98(constB102))),
% 15.78/10.91 inference(modus_ponens,[status(thm)],[16616, 16615])).
% 15.78/10.91 tff(16618,plain,
% 15.78/10.91 ((~v96(constB102)) <=> v98(constB102)),
% 15.78/10.91 inference(unit_resolution,[status(thm)],[16617, 6233, 2332])).
% 15.78/10.91 tff(16619,plain,
% 15.78/10.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB101, constB102)) | (v98(constB102) <=> v1(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB101, constB102)) | (v98(constB102) <=> v1(constB101)))),
% 15.78/10.92 inference(rewrite,[status(thm)],[])).
% 15.78/10.92 tff(16620,plain,
% 15.78/10.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB101, constB102)) | (v98(constB102) <=> v1(constB101)))),
% 15.78/10.92 inference(quant_inst,[status(thm)],[])).
% 15.78/10.92 tff(16621,plain,
% 15.78/10.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB101, constB102)) | (v98(constB102) <=> v1(constB101))),
% 15.78/10.92 inference(modus_ponens,[status(thm)],[16620, 16619])).
% 15.78/10.92 tff(16622,plain,
% 15.78/10.92 (v98(constB102) <=> v1(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16621, 6233, 2346])).
% 15.78/10.92 tff(16623,plain,
% 15.78/10.92 ((~(v98(constB102) <=> v1(constB101))) | (~v98(constB102)) | v1(constB101)),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16624,plain,
% 15.78/10.92 ((~(v98(constB102) <=> v1(constB101))) | (~v98(constB102))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16623, 6297])).
% 15.78/10.92 tff(16625,plain,
% 15.78/10.92 (~v98(constB102)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16624, 16622])).
% 15.78/10.92 tff(16626,plain,
% 15.78/10.92 ((~((~v96(constB102)) <=> v98(constB102))) | v96(constB102) | v98(constB102)),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16627,plain,
% 15.78/10.92 (v96(constB102)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16626, 16625, 16618])).
% 15.78/10.92 tff(16628,plain,
% 15.78/10.92 ((~((~v1(constB102)) | (~v96(constB102)))) | (~v1(constB102)) | (~v96(constB102))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16629,plain,
% 15.78/10.92 ((~((~v1(constB102)) | (~v96(constB102)))) | (~v96(constB102))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16628, 6204])).
% 15.78/10.92 tff(16630,plain,
% 15.78/10.92 (~((~v1(constB102)) | (~v96(constB102)))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16629, 16627])).
% 15.78/10.92 tff(16631,plain,
% 15.78/10.92 ((~(v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102)))))) | v95(constB102) | ((~v1(constB102)) | (~v96(constB102)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16632,plain,
% 15.78/10.92 (v95(constB102)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16631, 16630, 16614])).
% 15.78/10.92 tff(16633,plain,
% 15.78/10.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB101, constB102)) | (v104(constB102) <=> v102(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB101, constB102)) | (v104(constB102) <=> v102(constB101)))),
% 15.78/10.92 inference(rewrite,[status(thm)],[])).
% 15.78/10.92 tff(16634,plain,
% 15.78/10.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB101, constB102)) | (v104(constB102) <=> v102(constB101)))),
% 15.78/10.92 inference(quant_inst,[status(thm)],[])).
% 15.78/10.92 tff(16635,plain,
% 15.78/10.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB101, constB102)) | (v104(constB102) <=> v102(constB101))),
% 15.78/10.92 inference(modus_ponens,[status(thm)],[16634, 16633])).
% 15.78/10.92 tff(16636,plain,
% 15.78/10.92 (v104(constB102) <=> v102(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16635, 6233, 2373])).
% 15.78/10.92 tff(16637,plain,
% 15.78/10.92 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB101) <=> (v105(constB101) | v106(constB101)))),
% 15.78/10.92 inference(quant_inst,[status(thm)],[])).
% 15.78/10.92 tff(16638,plain,
% 15.78/10.92 (v102(constB101) <=> (v105(constB101) | v106(constB101))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16637, 2384])).
% 15.78/10.92 tff(16639,plain,
% 15.78/10.92 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB101) <=> (~((~v107(constB101)) | (~v120(constB101)))))),
% 15.78/10.92 inference(quant_inst,[status(thm)],[])).
% 15.78/10.92 tff(16640,plain,
% 15.78/10.92 (v106(constB101) <=> (~((~v107(constB101)) | (~v120(constB101))))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16639, 2396])).
% 15.78/10.92 tff(16641,plain,
% 15.78/10.92 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB101) <=> (v108(constB101) | v119(constB101)))),
% 15.78/10.92 inference(quant_inst,[status(thm)],[])).
% 15.78/10.92 tff(16642,plain,
% 15.78/10.92 (v107(constB101) <=> (v108(constB101) | v119(constB101))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16641, 2405])).
% 15.78/10.92 tff(16643,plain,
% 15.78/10.92 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB101) <=> (v109(constB101) | v118(constB101)))),
% 15.78/10.92 inference(quant_inst,[status(thm)],[])).
% 15.78/10.92 tff(16644,plain,
% 15.78/10.92 (v108(constB101) <=> (v109(constB101) | v118(constB101))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16643, 2414])).
% 15.78/10.92 tff(16645,plain,
% 15.78/10.92 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB101) <=> (v110(constB101) | v117(constB101)))),
% 15.78/10.92 inference(quant_inst,[status(thm)],[])).
% 15.78/10.92 tff(16646,plain,
% 15.78/10.92 (v109(constB101) <=> (v110(constB101) | v117(constB101))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16645, 2423])).
% 15.78/10.92 tff(16647,plain,
% 15.78/10.92 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB101) <=> (v111(constB101) | v116(constB101)))),
% 15.78/10.92 inference(quant_inst,[status(thm)],[])).
% 15.78/10.92 tff(16648,plain,
% 15.78/10.92 (v110(constB101) <=> (v111(constB101) | v116(constB101))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16647, 2432])).
% 15.78/10.92 tff(16649,plain,
% 15.78/10.92 ((v111(constB101) | v116(constB101)) | (~v116(constB101))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16650,plain,
% 15.78/10.92 (v111(constB101) | v116(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16649, 16592])).
% 15.78/10.92 tff(16651,plain,
% 15.78/10.92 ((~(v110(constB101) <=> (v111(constB101) | v116(constB101)))) | v110(constB101) | (~(v111(constB101) | v116(constB101)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16652,plain,
% 15.78/10.92 (v110(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16651, 16650, 16648])).
% 15.78/10.92 tff(16653,plain,
% 15.78/10.92 ((v110(constB101) | v117(constB101)) | (~v110(constB101))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16654,plain,
% 15.78/10.92 (v110(constB101) | v117(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16653, 16652])).
% 15.78/10.92 tff(16655,plain,
% 15.78/10.92 ((~(v109(constB101) <=> (v110(constB101) | v117(constB101)))) | v109(constB101) | (~(v110(constB101) | v117(constB101)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16656,plain,
% 15.78/10.92 (v109(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16655, 16654, 16646])).
% 15.78/10.92 tff(16657,plain,
% 15.78/10.92 ((v109(constB101) | v118(constB101)) | (~v109(constB101))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16658,plain,
% 15.78/10.92 (v109(constB101) | v118(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16657, 16656])).
% 15.78/10.92 tff(16659,plain,
% 15.78/10.92 ((~(v108(constB101) <=> (v109(constB101) | v118(constB101)))) | v108(constB101) | (~(v109(constB101) | v118(constB101)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16660,plain,
% 15.78/10.92 (v108(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16659, 16658, 16644])).
% 15.78/10.92 tff(16661,plain,
% 15.78/10.92 ((v108(constB101) | v119(constB101)) | (~v108(constB101))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16662,plain,
% 15.78/10.92 (v108(constB101) | v119(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16661, 16660])).
% 15.78/10.92 tff(16663,plain,
% 15.78/10.92 ((~(v107(constB101) <=> (v108(constB101) | v119(constB101)))) | v107(constB101) | (~(v108(constB101) | v119(constB101)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16664,plain,
% 15.78/10.92 (v107(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16663, 16662, 16642])).
% 15.78/10.92 tff(16665,plain,
% 15.78/10.92 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB101)) <=> v105(constB101))),
% 15.78/10.92 inference(quant_inst,[status(thm)],[])).
% 15.78/10.92 tff(16666,plain,
% 15.78/10.92 ((~v120(constB101)) <=> v105(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16665, 2484])).
% 15.78/10.92 tff(16667,plain,
% 15.78/10.92 ((~((~v120(constB101)) <=> v105(constB101))) | v120(constB101) | v105(constB101)),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16668,plain,
% 15.78/10.92 ((~((~v120(constB101)) <=> v105(constB101))) | v120(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16667, 16543])).
% 15.78/10.92 tff(16669,plain,
% 15.78/10.92 (v120(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16668, 16666])).
% 15.78/10.92 tff(16670,plain,
% 15.78/10.92 ((~((~v107(constB101)) | (~v120(constB101)))) | (~v107(constB101)) | (~v120(constB101))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16671,plain,
% 15.78/10.92 ((~((~v107(constB101)) | (~v120(constB101)))) | (~v107(constB101))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16670, 16669])).
% 15.78/10.92 tff(16672,plain,
% 15.78/10.92 (~((~v107(constB101)) | (~v120(constB101)))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16671, 16664])).
% 15.78/10.92 tff(16673,plain,
% 15.78/10.92 ((~(v106(constB101) <=> (~((~v107(constB101)) | (~v120(constB101)))))) | v106(constB101) | ((~v107(constB101)) | (~v120(constB101)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16674,plain,
% 15.78/10.92 (v106(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16673, 16672, 16640])).
% 15.78/10.92 tff(16675,plain,
% 15.78/10.92 ((v105(constB101) | v106(constB101)) | (~v106(constB101))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16676,plain,
% 15.78/10.92 (v105(constB101) | v106(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16675, 16674])).
% 15.78/10.92 tff(16677,plain,
% 15.78/10.92 ((~(v102(constB101) <=> (v105(constB101) | v106(constB101)))) | v102(constB101) | (~(v105(constB101) | v106(constB101)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16678,plain,
% 15.78/10.92 (v102(constB101)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16677, 16676, 16638])).
% 15.78/10.92 tff(16679,plain,
% 15.78/10.92 ((~(v104(constB102) <=> v102(constB101))) | v104(constB102) | (~v102(constB101))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16680,plain,
% 15.78/10.92 (v104(constB102)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16679, 16678, 16636])).
% 15.78/10.92 tff(16681,plain,
% 15.78/10.92 ((~((~v95(constB102)) | (~v104(constB102)))) | (~v95(constB102)) | (~v104(constB102))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16682,plain,
% 15.78/10.92 (~((~v95(constB102)) | (~v104(constB102)))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16681, 16680, 16632])).
% 15.78/10.92 tff(16683,plain,
% 15.78/10.92 ((~(v94(constB102) <=> (~((~v95(constB102)) | (~v104(constB102)))))) | v94(constB102) | ((~v95(constB102)) | (~v104(constB102)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16684,plain,
% 15.78/10.92 (v94(constB102)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16683, 16682, 16607])).
% 15.78/10.92 tff(16685,plain,
% 15.78/10.92 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB102)) | (~(((~v84(constB102, 0)) <=> v123(constB102, 0)) | ((~v84(constB102, 2)) <=> v123(constB102, 2)) | ((~v84(constB102, 1)) <=> v123(constB102, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB102)) | (~(((~v84(constB102, 0)) <=> v123(constB102, 0)) | ((~v84(constB102, 2)) <=> v123(constB102, 2)) | ((~v84(constB102, 1)) <=> v123(constB102, 1)))))),
% 15.78/10.92 inference(rewrite,[status(thm)],[])).
% 15.78/10.92 tff(16686,plain,
% 15.78/10.92 (((~v94(constB102)) | (~(((~v84(constB102, 2)) <=> v123(constB102, 2)) | ((~v84(constB102, 1)) <=> v123(constB102, 1)) | ((~v84(constB102, 0)) <=> v123(constB102, 0))))) <=> ((~v94(constB102)) | (~(((~v84(constB102, 0)) <=> v123(constB102, 0)) | ((~v84(constB102, 2)) <=> v123(constB102, 2)) | ((~v84(constB102, 1)) <=> v123(constB102, 1)))))),
% 15.78/10.92 inference(rewrite,[status(thm)],[])).
% 15.78/10.92 tff(16687,plain,
% 15.78/10.92 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB102)) | (~(((~v84(constB102, 2)) <=> v123(constB102, 2)) | ((~v84(constB102, 1)) <=> v123(constB102, 1)) | ((~v84(constB102, 0)) <=> v123(constB102, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB102)) | (~(((~v84(constB102, 0)) <=> v123(constB102, 0)) | ((~v84(constB102, 2)) <=> v123(constB102, 2)) | ((~v84(constB102, 1)) <=> v123(constB102, 1))))))),
% 15.78/10.92 inference(monotonicity,[status(thm)],[16686])).
% 15.78/10.92 tff(16688,plain,
% 15.78/10.92 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB102)) | (~(((~v84(constB102, 2)) <=> v123(constB102, 2)) | ((~v84(constB102, 1)) <=> v123(constB102, 1)) | ((~v84(constB102, 0)) <=> v123(constB102, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB102)) | (~(((~v84(constB102, 0)) <=> v123(constB102, 0)) | ((~v84(constB102, 2)) <=> v123(constB102, 2)) | ((~v84(constB102, 1)) <=> v123(constB102, 1)))))),
% 15.78/10.92 inference(transitivity,[status(thm)],[16687, 16685])).
% 15.78/10.92 tff(16689,plain,
% 15.78/10.92 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB102)) | (~(((~v84(constB102, 2)) <=> v123(constB102, 2)) | ((~v84(constB102, 1)) <=> v123(constB102, 1)) | ((~v84(constB102, 0)) <=> v123(constB102, 0)))))),
% 15.78/10.92 inference(quant_inst,[status(thm)],[])).
% 15.78/10.92 tff(16690,plain,
% 15.78/10.92 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB102)) | (~(((~v84(constB102, 0)) <=> v123(constB102, 0)) | ((~v84(constB102, 2)) <=> v123(constB102, 2)) | ((~v84(constB102, 1)) <=> v123(constB102, 1))))),
% 15.78/10.92 inference(modus_ponens,[status(thm)],[16689, 16688])).
% 15.78/10.92 tff(16691,plain,
% 15.78/10.92 ((~v94(constB102)) | (~(((~v84(constB102, 0)) <=> v123(constB102, 0)) | ((~v84(constB102, 2)) <=> v123(constB102, 2)) | ((~v84(constB102, 1)) <=> v123(constB102, 1))))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16690, 2517])).
% 15.78/10.92 tff(16692,plain,
% 15.78/10.92 (~(((~v84(constB102, 0)) <=> v123(constB102, 0)) | ((~v84(constB102, 2)) <=> v123(constB102, 2)) | ((~v84(constB102, 1)) <=> v123(constB102, 1)))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16691, 16684])).
% 15.78/10.92 tff(16693,plain,
% 15.78/10.92 ((((~v84(constB102, 0)) <=> v123(constB102, 0)) | ((~v84(constB102, 2)) <=> v123(constB102, 2)) | ((~v84(constB102, 1)) <=> v123(constB102, 1))) | (~((~v84(constB102, 2)) <=> v123(constB102, 2)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16694,plain,
% 15.78/10.92 (~((~v84(constB102, 2)) <=> v123(constB102, 2))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16693, 16692])).
% 15.78/10.92 tff(16695,plain,
% 15.78/10.92 (((~v84(constB102, 2)) <=> v123(constB102, 2)) | v84(constB102, 2) | (~v123(constB102, 2))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16696,plain,
% 15.78/10.92 (v84(constB102, 2)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16695, 16694, 16603])).
% 15.78/10.92 tff(16697,plain,
% 15.78/10.92 (((~v84(constB103, 2)) <=> v84(constB102, 2)) | v84(constB103, 2) | (~v84(constB102, 2))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16698,plain,
% 15.78/10.92 (v84(constB103, 2)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16697, 16696, 16530])).
% 15.78/10.92 tff(16699,plain,
% 15.78/10.92 ((((~v84(constB103, 1)) <=> v84(constB102, 1)) | ((~v84(constB103, 2)) <=> v84(constB102, 2)) | ((~v84(constB103, 0)) <=> v84(constB102, 0))) | (~((~v84(constB103, 0)) <=> v84(constB102, 0)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16700,plain,
% 15.78/10.92 (~((~v84(constB103, 0)) <=> v84(constB102, 0))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16699, 16528])).
% 15.78/10.92 tff(16701,plain,
% 15.78/10.92 ((((~v123(constB102, 2)) <=> v121(constB101, 2)) | ((~v123(constB102, 1)) <=> v121(constB101, 1)) | ((~v123(constB102, 0)) <=> v121(constB101, 0))) | (~((~v123(constB102, 0)) <=> v121(constB101, 0)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16702,plain,
% 15.78/10.92 (~((~v123(constB102, 0)) <=> v121(constB101, 0))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16701, 16534])).
% 15.78/10.92 tff(16703,plain,
% 15.78/10.92 ((((~v121(constB101, 2)) <=> v124(constB101, 2)) | ((~v121(constB101, 0)) <=> v124(constB101, 0)) | ((~v121(constB101, 1)) <=> v124(constB101, 1))) | (~((~v121(constB101, 0)) <=> v124(constB101, 0)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16704,plain,
% 15.78/10.92 (~((~v121(constB101, 0)) <=> v124(constB101, 0))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16703, 16548])).
% 15.78/10.92 tff(16705,plain,
% 15.78/10.92 ((v124(constB101, 0) | v124(constB101, 1) | (~v124(constB101, 2))) | (~v124(constB101, 0))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16706,plain,
% 15.78/10.92 (~v124(constB101, 0)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16705, 16597])).
% 15.78/10.92 tff(16707,plain,
% 15.78/10.92 (((~v121(constB101, 0)) <=> v124(constB101, 0)) | (~v121(constB101, 0)) | v124(constB101, 0)),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16708,plain,
% 15.78/10.92 (~v121(constB101, 0)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16707, 16706, 16704])).
% 15.78/10.92 tff(16709,plain,
% 15.78/10.92 (((~v123(constB102, 0)) <=> v121(constB101, 0)) | (~v123(constB102, 0)) | v121(constB101, 0)),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16710,plain,
% 15.78/10.92 (~v123(constB102, 0)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16709, 16708, 16702])).
% 15.78/10.92 tff(16711,plain,
% 15.78/10.92 ((((~v84(constB102, 0)) <=> v123(constB102, 0)) | ((~v84(constB102, 2)) <=> v123(constB102, 2)) | ((~v84(constB102, 1)) <=> v123(constB102, 1))) | (~((~v84(constB102, 0)) <=> v123(constB102, 0)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16712,plain,
% 15.78/10.92 (~((~v84(constB102, 0)) <=> v123(constB102, 0))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16711, 16692])).
% 15.78/10.92 tff(16713,plain,
% 15.78/10.92 (((~v84(constB102, 0)) <=> v123(constB102, 0)) | (~v84(constB102, 0)) | v123(constB102, 0)),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16714,plain,
% 15.78/10.92 (~v84(constB102, 0)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16713, 16712, 16710])).
% 15.78/10.92 tff(16715,plain,
% 15.78/10.92 (((~v84(constB103, 0)) <=> v84(constB102, 0)) | (~v84(constB103, 0)) | v84(constB102, 0)),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16716,plain,
% 15.78/10.92 (~v84(constB103, 0)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16715, 16714, 16700])).
% 15.78/10.92 tff(16717,plain,
% 15.78/10.92 ((((~v84(constB103, 1)) <=> v84(constB102, 1)) | ((~v84(constB103, 2)) <=> v84(constB102, 2)) | ((~v84(constB103, 0)) <=> v84(constB102, 0))) | (~((~v84(constB103, 1)) <=> v84(constB102, 1)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16718,plain,
% 15.78/10.92 (~((~v84(constB103, 1)) <=> v84(constB102, 1))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16717, 16528])).
% 15.78/10.92 tff(16719,plain,
% 15.78/10.92 ((((~v123(constB102, 2)) <=> v121(constB101, 2)) | ((~v123(constB102, 1)) <=> v121(constB101, 1)) | ((~v123(constB102, 0)) <=> v121(constB101, 0))) | (~((~v123(constB102, 1)) <=> v121(constB101, 1)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16720,plain,
% 15.78/10.92 (~((~v123(constB102, 1)) <=> v121(constB101, 1))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16719, 16534])).
% 15.78/10.92 tff(16721,plain,
% 15.78/10.92 ((((~v121(constB101, 2)) <=> v124(constB101, 2)) | ((~v121(constB101, 0)) <=> v124(constB101, 0)) | ((~v121(constB101, 1)) <=> v124(constB101, 1))) | (~((~v121(constB101, 1)) <=> v124(constB101, 1)))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16722,plain,
% 15.78/10.92 (~((~v121(constB101, 1)) <=> v124(constB101, 1))),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16721, 16548])).
% 15.78/10.92 tff(16723,plain,
% 15.78/10.92 ((v124(constB101, 0) | v124(constB101, 1) | (~v124(constB101, 2))) | (~v124(constB101, 1))),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16724,plain,
% 15.78/10.92 (~v124(constB101, 1)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16723, 16597])).
% 15.78/10.92 tff(16725,plain,
% 15.78/10.92 (((~v121(constB101, 1)) <=> v124(constB101, 1)) | (~v121(constB101, 1)) | v124(constB101, 1)),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.92 tff(16726,plain,
% 15.78/10.92 (~v121(constB101, 1)),
% 15.78/10.92 inference(unit_resolution,[status(thm)],[16725, 16724, 16722])).
% 15.78/10.92 tff(16727,plain,
% 15.78/10.92 (((~v123(constB102, 1)) <=> v121(constB101, 1)) | (~v123(constB102, 1)) | v121(constB101, 1)),
% 15.78/10.92 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16728,plain,
% 15.78/10.93 (~v123(constB102, 1)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16727, 16726, 16720])).
% 15.78/10.93 tff(16729,plain,
% 15.78/10.93 ((((~v84(constB102, 0)) <=> v123(constB102, 0)) | ((~v84(constB102, 2)) <=> v123(constB102, 2)) | ((~v84(constB102, 1)) <=> v123(constB102, 1))) | (~((~v84(constB102, 1)) <=> v123(constB102, 1)))),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16730,plain,
% 15.78/10.93 (~((~v84(constB102, 1)) <=> v123(constB102, 1))),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16729, 16692])).
% 15.78/10.93 tff(16731,plain,
% 15.78/10.93 (((~v84(constB102, 1)) <=> v123(constB102, 1)) | (~v84(constB102, 1)) | v123(constB102, 1)),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16732,plain,
% 15.78/10.93 (~v84(constB102, 1)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16731, 16730, 16728])).
% 15.78/10.93 tff(16733,plain,
% 15.78/10.93 (((~v84(constB103, 1)) <=> v84(constB102, 1)) | (~v84(constB103, 1)) | v84(constB102, 1)),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16734,plain,
% 15.78/10.93 (~v84(constB103, 1)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16733, 16732, 16718])).
% 15.78/10.93 tff(16735,plain,
% 15.78/10.93 ((~(v84(constB103, 1) | v84(constB103, 0) | (~v84(constB103, 2)))) | v84(constB103, 1) | v84(constB103, 0) | (~v84(constB103, 2))),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16736,plain,
% 15.78/10.93 (~(v84(constB103, 1) | v84(constB103, 0) | (~v84(constB103, 2)))),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16735, 16734, 16716, 16698])).
% 15.78/10.93 tff(16737,plain,
% 15.78/10.93 ((~(v117(constB103) <=> (~(v84(constB103, 1) | v84(constB103, 0) | (~v84(constB103, 2)))))) | v117(constB103) | (v84(constB103, 1) | v84(constB103, 0) | (~v84(constB103, 2)))),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16738,plain,
% 15.78/10.93 (v117(constB103)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16737, 16736, 16500])).
% 15.78/10.93 tff(16739,plain,
% 15.78/10.93 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB103)) | (~(v124(constB103, 0) | (~v124(constB103, 2)) | (~v124(constB103, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB103)) | (~(v124(constB103, 0) | (~v124(constB103, 2)) | (~v124(constB103, 1)))))),
% 15.78/10.93 inference(rewrite,[status(thm)],[])).
% 15.78/10.93 tff(16740,plain,
% 15.78/10.93 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB103)) | (~(v124(constB103, 0) | (~v124(constB103, 2)) | (~v124(constB103, 1)))))),
% 15.78/10.93 inference(quant_inst,[status(thm)],[])).
% 15.78/10.93 tff(16741,plain,
% 15.78/10.93 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB103)) | (~(v124(constB103, 0) | (~v124(constB103, 2)) | (~v124(constB103, 1))))),
% 15.78/10.93 inference(modus_ponens,[status(thm)],[16740, 16739])).
% 15.78/10.93 tff(16742,plain,
% 15.78/10.93 ((~v117(constB103)) | (~(v124(constB103, 0) | (~v124(constB103, 2)) | (~v124(constB103, 1))))),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16741, 2584])).
% 15.78/10.93 tff(16743,plain,
% 15.78/10.93 (~(v124(constB103, 0) | (~v124(constB103, 2)) | (~v124(constB103, 1)))),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16742, 16738])).
% 15.78/10.93 tff(16744,plain,
% 15.78/10.93 ((v124(constB103, 0) | (~v124(constB103, 2)) | (~v124(constB103, 1))) | v124(constB103, 2)),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16745,plain,
% 15.78/10.93 (v124(constB103, 2)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16744, 16743])).
% 15.78/10.93 tff(16746,plain,
% 15.78/10.93 (((~v121(constB103, 2)) <=> v124(constB103, 2)) | v121(constB103, 2) | (~v124(constB103, 2))),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16747,plain,
% 15.78/10.93 (v121(constB103, 2)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16746, 16745, 16493])).
% 15.78/10.93 tff(16748,plain,
% 15.78/10.93 (((~v123(constB104, 2)) <=> v121(constB103, 2)) | v123(constB104, 2) | (~v121(constB103, 2))),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16749,plain,
% 15.78/10.93 (v123(constB104, 2)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16748, 16747, 16479])).
% 15.78/10.93 tff(16750,plain,
% 15.78/10.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB103, constB104)) | (v94(constB104) <=> (~((~v95(constB104)) | (~v104(constB104))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB103, constB104)) | (v94(constB104) <=> (~((~v95(constB104)) | (~v104(constB104))))))),
% 15.78/10.93 inference(rewrite,[status(thm)],[])).
% 15.78/10.93 tff(16751,plain,
% 15.78/10.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB103, constB104)) | (v94(constB104) <=> (~((~v95(constB104)) | (~v104(constB104))))))),
% 15.78/10.93 inference(quant_inst,[status(thm)],[])).
% 15.78/10.93 tff(16752,plain,
% 15.78/10.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB103, constB104)) | (v94(constB104) <=> (~((~v95(constB104)) | (~v104(constB104)))))),
% 15.78/10.93 inference(modus_ponens,[status(thm)],[16751, 16750])).
% 15.78/10.93 tff(16753,plain,
% 15.78/10.93 (v94(constB104) <=> (~((~v95(constB104)) | (~v104(constB104))))),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16752, 6093, 770])).
% 15.78/10.93 tff(16754,plain,
% 15.78/10.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104))))))),
% 15.78/10.93 inference(rewrite,[status(thm)],[])).
% 15.78/10.93 tff(16755,plain,
% 15.78/10.93 (((~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v96(constB104)) | (~v1(constB104)))))) <=> ((~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104))))))),
% 15.78/10.93 inference(rewrite,[status(thm)],[])).
% 15.78/10.93 tff(16756,plain,
% 15.78/10.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v96(constB104)) | (~v1(constB104))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104)))))))),
% 15.78/10.93 inference(monotonicity,[status(thm)],[16755])).
% 15.78/10.93 tff(16757,plain,
% 15.78/10.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v96(constB104)) | (~v1(constB104))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104))))))),
% 15.78/10.93 inference(transitivity,[status(thm)],[16756, 16754])).
% 15.78/10.93 tff(16758,plain,
% 15.78/10.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v96(constB104)) | (~v1(constB104))))))),
% 15.78/10.93 inference(quant_inst,[status(thm)],[])).
% 15.78/10.93 tff(16759,plain,
% 15.78/10.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104)))))),
% 15.78/10.93 inference(modus_ponens,[status(thm)],[16758, 16757])).
% 15.78/10.93 tff(16760,plain,
% 15.78/10.93 (v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104))))),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16759, 6093, 790])).
% 15.78/10.93 tff(16761,plain,
% 15.78/10.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB103, constB104)) | ((~v96(constB104)) <=> v98(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB103, constB104)) | ((~v96(constB104)) <=> v98(constB104)))),
% 15.78/10.93 inference(rewrite,[status(thm)],[])).
% 15.78/10.93 tff(16762,plain,
% 15.78/10.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB103, constB104)) | ((~v96(constB104)) <=> v98(constB104)))),
% 15.78/10.93 inference(quant_inst,[status(thm)],[])).
% 15.78/10.93 tff(16763,plain,
% 15.78/10.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB103, constB104)) | ((~v96(constB104)) <=> v98(constB104))),
% 15.78/10.93 inference(modus_ponens,[status(thm)],[16762, 16761])).
% 15.78/10.93 tff(16764,plain,
% 15.78/10.93 ((~v96(constB104)) <=> v98(constB104)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16763, 6093, 2332])).
% 15.78/10.93 tff(16765,plain,
% 15.78/10.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB103, constB104)) | (v98(constB104) <=> v1(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB103, constB104)) | (v98(constB104) <=> v1(constB103)))),
% 15.78/10.93 inference(rewrite,[status(thm)],[])).
% 15.78/10.93 tff(16766,plain,
% 15.78/10.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB103, constB104)) | (v98(constB104) <=> v1(constB103)))),
% 15.78/10.93 inference(quant_inst,[status(thm)],[])).
% 15.78/10.93 tff(16767,plain,
% 15.78/10.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB103, constB104)) | (v98(constB104) <=> v1(constB103))),
% 15.78/10.93 inference(modus_ponens,[status(thm)],[16766, 16765])).
% 15.78/10.93 tff(16768,plain,
% 15.78/10.93 (v98(constB104) <=> v1(constB103)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16767, 6093, 2346])).
% 15.78/10.93 tff(16769,plain,
% 15.78/10.93 ((~(v98(constB104) <=> v1(constB103))) | (~v98(constB104)) | v1(constB103)),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16770,plain,
% 15.78/10.93 ((~(v98(constB104) <=> v1(constB103))) | (~v98(constB104))),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16769, 6157])).
% 15.78/10.93 tff(16771,plain,
% 15.78/10.93 (~v98(constB104)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16770, 16768])).
% 15.78/10.93 tff(16772,plain,
% 15.78/10.93 ((~((~v96(constB104)) <=> v98(constB104))) | v96(constB104) | v98(constB104)),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16773,plain,
% 15.78/10.93 (v96(constB104)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16772, 16771, 16764])).
% 15.78/10.93 tff(16774,plain,
% 15.78/10.93 ((~((~v1(constB104)) | (~v96(constB104)))) | (~v1(constB104)) | (~v96(constB104))),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16775,plain,
% 15.78/10.93 ((~((~v1(constB104)) | (~v96(constB104)))) | (~v96(constB104))),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16774, 6064])).
% 15.78/10.93 tff(16776,plain,
% 15.78/10.93 (~((~v1(constB104)) | (~v96(constB104)))),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16775, 16773])).
% 15.78/10.93 tff(16777,plain,
% 15.78/10.93 ((~(v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104)))))) | v95(constB104) | ((~v1(constB104)) | (~v96(constB104)))),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16778,plain,
% 15.78/10.93 (v95(constB104)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16777, 16776, 16760])).
% 15.78/10.93 tff(16779,plain,
% 15.78/10.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB103, constB104)) | (v104(constB104) <=> v102(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB103, constB104)) | (v104(constB104) <=> v102(constB103)))),
% 15.78/10.93 inference(rewrite,[status(thm)],[])).
% 15.78/10.93 tff(16780,plain,
% 15.78/10.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB103, constB104)) | (v104(constB104) <=> v102(constB103)))),
% 15.78/10.93 inference(quant_inst,[status(thm)],[])).
% 15.78/10.93 tff(16781,plain,
% 15.78/10.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB103, constB104)) | (v104(constB104) <=> v102(constB103))),
% 15.78/10.93 inference(modus_ponens,[status(thm)],[16780, 16779])).
% 15.78/10.93 tff(16782,plain,
% 15.78/10.93 (v104(constB104) <=> v102(constB103)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16781, 6093, 2373])).
% 15.78/10.93 tff(16783,plain,
% 15.78/10.93 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB103) <=> (v105(constB103) | v106(constB103)))),
% 15.78/10.93 inference(quant_inst,[status(thm)],[])).
% 15.78/10.93 tff(16784,plain,
% 15.78/10.93 (v102(constB103) <=> (v105(constB103) | v106(constB103))),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16783, 2384])).
% 15.78/10.93 tff(16785,plain,
% 15.78/10.93 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB103) <=> (~((~v107(constB103)) | (~v120(constB103)))))),
% 15.78/10.93 inference(quant_inst,[status(thm)],[])).
% 15.78/10.93 tff(16786,plain,
% 15.78/10.93 (v106(constB103) <=> (~((~v107(constB103)) | (~v120(constB103))))),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16785, 2396])).
% 15.78/10.93 tff(16787,plain,
% 15.78/10.93 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB103) <=> (v108(constB103) | v119(constB103)))),
% 15.78/10.93 inference(quant_inst,[status(thm)],[])).
% 15.78/10.93 tff(16788,plain,
% 15.78/10.93 (v107(constB103) <=> (v108(constB103) | v119(constB103))),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16787, 2405])).
% 15.78/10.93 tff(16789,plain,
% 15.78/10.93 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB103) <=> (v109(constB103) | v118(constB103)))),
% 15.78/10.93 inference(quant_inst,[status(thm)],[])).
% 15.78/10.93 tff(16790,plain,
% 15.78/10.93 (v108(constB103) <=> (v109(constB103) | v118(constB103))),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16789, 2414])).
% 15.78/10.93 tff(16791,plain,
% 15.78/10.93 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB103) <=> (v110(constB103) | v117(constB103)))),
% 15.78/10.93 inference(quant_inst,[status(thm)],[])).
% 15.78/10.93 tff(16792,plain,
% 15.78/10.93 (v109(constB103) <=> (v110(constB103) | v117(constB103))),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16791, 2423])).
% 15.78/10.93 tff(16793,plain,
% 15.78/10.93 ((v110(constB103) | v117(constB103)) | (~v117(constB103))),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16794,plain,
% 15.78/10.93 (v110(constB103) | v117(constB103)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16793, 16738])).
% 15.78/10.93 tff(16795,plain,
% 15.78/10.93 ((~(v109(constB103) <=> (v110(constB103) | v117(constB103)))) | v109(constB103) | (~(v110(constB103) | v117(constB103)))),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16796,plain,
% 15.78/10.93 (v109(constB103)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16795, 16794, 16792])).
% 15.78/10.93 tff(16797,plain,
% 15.78/10.93 ((v109(constB103) | v118(constB103)) | (~v109(constB103))),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16798,plain,
% 15.78/10.93 (v109(constB103) | v118(constB103)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16797, 16796])).
% 15.78/10.93 tff(16799,plain,
% 15.78/10.93 ((~(v108(constB103) <=> (v109(constB103) | v118(constB103)))) | v108(constB103) | (~(v109(constB103) | v118(constB103)))),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16800,plain,
% 15.78/10.93 (v108(constB103)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16799, 16798, 16790])).
% 15.78/10.93 tff(16801,plain,
% 15.78/10.93 ((v108(constB103) | v119(constB103)) | (~v108(constB103))),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16802,plain,
% 15.78/10.93 (v108(constB103) | v119(constB103)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16801, 16800])).
% 15.78/10.93 tff(16803,plain,
% 15.78/10.93 ((~(v107(constB103) <=> (v108(constB103) | v119(constB103)))) | v107(constB103) | (~(v108(constB103) | v119(constB103)))),
% 15.78/10.93 inference(tautology,[status(thm)],[])).
% 15.78/10.93 tff(16804,plain,
% 15.78/10.93 (v107(constB103)),
% 15.78/10.93 inference(unit_resolution,[status(thm)],[16803, 16802, 16788])).
% 15.78/10.93 tff(16805,plain,
% 15.78/10.93 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB103)) <=> v105(constB103))),
% 15.78/10.94 inference(quant_inst,[status(thm)],[])).
% 15.78/10.94 tff(16806,plain,
% 15.78/10.94 ((~v120(constB103)) <=> v105(constB103)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16805, 2484])).
% 15.78/10.94 tff(16807,plain,
% 15.78/10.94 ((~((~v120(constB103)) <=> v105(constB103))) | v120(constB103) | v105(constB103)),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16808,plain,
% 15.78/10.94 ((~((~v120(constB103)) <=> v105(constB103))) | v120(constB103)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16807, 16486])).
% 15.78/10.94 tff(16809,plain,
% 15.78/10.94 (v120(constB103)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16808, 16806])).
% 15.78/10.94 tff(16810,plain,
% 15.78/10.94 ((~((~v107(constB103)) | (~v120(constB103)))) | (~v107(constB103)) | (~v120(constB103))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16811,plain,
% 15.78/10.94 ((~((~v107(constB103)) | (~v120(constB103)))) | (~v107(constB103))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16810, 16809])).
% 15.78/10.94 tff(16812,plain,
% 15.78/10.94 (~((~v107(constB103)) | (~v120(constB103)))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16811, 16804])).
% 15.78/10.94 tff(16813,plain,
% 15.78/10.94 ((~(v106(constB103) <=> (~((~v107(constB103)) | (~v120(constB103)))))) | v106(constB103) | ((~v107(constB103)) | (~v120(constB103)))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16814,plain,
% 15.78/10.94 (v106(constB103)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16813, 16812, 16786])).
% 15.78/10.94 tff(16815,plain,
% 15.78/10.94 ((v105(constB103) | v106(constB103)) | (~v106(constB103))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16816,plain,
% 15.78/10.94 (v105(constB103) | v106(constB103)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16815, 16814])).
% 15.78/10.94 tff(16817,plain,
% 15.78/10.94 ((~(v102(constB103) <=> (v105(constB103) | v106(constB103)))) | v102(constB103) | (~(v105(constB103) | v106(constB103)))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16818,plain,
% 15.78/10.94 (v102(constB103)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16817, 16816, 16784])).
% 15.78/10.94 tff(16819,plain,
% 15.78/10.94 ((~(v104(constB104) <=> v102(constB103))) | v104(constB104) | (~v102(constB103))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16820,plain,
% 15.78/10.94 (v104(constB104)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16819, 16818, 16782])).
% 15.78/10.94 tff(16821,plain,
% 15.78/10.94 ((~((~v95(constB104)) | (~v104(constB104)))) | (~v95(constB104)) | (~v104(constB104))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16822,plain,
% 15.78/10.94 (~((~v95(constB104)) | (~v104(constB104)))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16821, 16820, 16778])).
% 15.78/10.94 tff(16823,plain,
% 15.78/10.94 ((~(v94(constB104) <=> (~((~v95(constB104)) | (~v104(constB104)))))) | v94(constB104) | ((~v95(constB104)) | (~v104(constB104)))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16824,plain,
% 15.78/10.94 (v94(constB104)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16823, 16822, 16753])).
% 15.78/10.94 tff(16825,plain,
% 15.78/10.94 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB104)) | (~(((~v84(constB104, 2)) <=> v123(constB104, 2)) | ((~v84(constB104, 1)) <=> v123(constB104, 1)) | ((~v84(constB104, 0)) <=> v123(constB104, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB104)) | (~(((~v84(constB104, 2)) <=> v123(constB104, 2)) | ((~v84(constB104, 1)) <=> v123(constB104, 1)) | ((~v84(constB104, 0)) <=> v123(constB104, 0)))))),
% 15.78/10.94 inference(rewrite,[status(thm)],[])).
% 15.78/10.94 tff(16826,plain,
% 15.78/10.94 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB104)) | (~(((~v84(constB104, 2)) <=> v123(constB104, 2)) | ((~v84(constB104, 1)) <=> v123(constB104, 1)) | ((~v84(constB104, 0)) <=> v123(constB104, 0)))))),
% 15.78/10.94 inference(quant_inst,[status(thm)],[])).
% 15.78/10.94 tff(16827,plain,
% 15.78/10.94 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB104)) | (~(((~v84(constB104, 2)) <=> v123(constB104, 2)) | ((~v84(constB104, 1)) <=> v123(constB104, 1)) | ((~v84(constB104, 0)) <=> v123(constB104, 0))))),
% 15.78/10.94 inference(modus_ponens,[status(thm)],[16826, 16825])).
% 15.78/10.94 tff(16828,plain,
% 15.78/10.94 ((~v94(constB104)) | (~(((~v84(constB104, 2)) <=> v123(constB104, 2)) | ((~v84(constB104, 1)) <=> v123(constB104, 1)) | ((~v84(constB104, 0)) <=> v123(constB104, 0))))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16827, 2517])).
% 15.78/10.94 tff(16829,plain,
% 15.78/10.94 (~(((~v84(constB104, 2)) <=> v123(constB104, 2)) | ((~v84(constB104, 1)) <=> v123(constB104, 1)) | ((~v84(constB104, 0)) <=> v123(constB104, 0)))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16828, 16824])).
% 15.78/10.94 tff(16830,plain,
% 15.78/10.94 ((((~v84(constB104, 2)) <=> v123(constB104, 2)) | ((~v84(constB104, 1)) <=> v123(constB104, 1)) | ((~v84(constB104, 0)) <=> v123(constB104, 0))) | (~((~v84(constB104, 2)) <=> v123(constB104, 2)))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16831,plain,
% 15.78/10.94 (~((~v84(constB104, 2)) <=> v123(constB104, 2))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16830, 16829])).
% 15.78/10.94 tff(16832,plain,
% 15.78/10.94 (((~v84(constB104, 2)) <=> v123(constB104, 2)) | v84(constB104, 2) | (~v123(constB104, 2))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16833,plain,
% 15.78/10.94 (v84(constB104, 2)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16832, 16831, 16749])).
% 15.78/10.94 tff(16834,plain,
% 15.78/10.94 (((~v84(constB105, 2)) <=> v84(constB104, 2)) | v84(constB105, 2) | (~v84(constB104, 2))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16835,plain,
% 15.78/10.94 (v84(constB105, 2)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16834, 16833, 16473])).
% 15.78/10.94 tff(16836,plain,
% 15.78/10.94 ((v84(constB105, 0) | v84(constB105, 1) | v84(constB105, 2)) | (~v84(constB105, 2))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16837,plain,
% 15.78/10.94 (v84(constB105, 0) | v84(constB105, 1) | v84(constB105, 2)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16836, 16835])).
% 15.78/10.94 tff(16838,plain,
% 15.78/10.94 ((~(v113(constB105) <=> (~(v84(constB105, 0) | v84(constB105, 1) | v84(constB105, 2))))) | (~v113(constB105)) | (~(v84(constB105, 0) | v84(constB105, 1) | v84(constB105, 2)))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16839,plain,
% 15.78/10.94 (~v113(constB105)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16838, 16837, 16443])).
% 15.78/10.94 tff(16840,plain,
% 15.78/10.94 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB105) <=> (~(v84(constB105, 1) | (~v84(constB105, 2)) | (~v84(constB105, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB105) <=> (~(v84(constB105, 1) | (~v84(constB105, 2)) | (~v84(constB105, 0))))))),
% 15.78/10.94 inference(rewrite,[status(thm)],[])).
% 15.78/10.94 tff(16841,plain,
% 15.78/10.94 ((v118(constB105) <=> (~(v84(constB105, 1) | (~v84(constB105, 0)) | (~v84(constB105, 2))))) <=> (v118(constB105) <=> (~(v84(constB105, 1) | (~v84(constB105, 2)) | (~v84(constB105, 0)))))),
% 15.78/10.94 inference(rewrite,[status(thm)],[])).
% 15.78/10.94 tff(16842,plain,
% 15.78/10.94 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB105) <=> (~(v84(constB105, 1) | (~v84(constB105, 0)) | (~v84(constB105, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB105) <=> (~(v84(constB105, 1) | (~v84(constB105, 2)) | (~v84(constB105, 0))))))),
% 15.78/10.94 inference(monotonicity,[status(thm)],[16841])).
% 15.78/10.94 tff(16843,plain,
% 15.78/10.94 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB105) <=> (~(v84(constB105, 1) | (~v84(constB105, 0)) | (~v84(constB105, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB105) <=> (~(v84(constB105, 1) | (~v84(constB105, 2)) | (~v84(constB105, 0))))))),
% 15.78/10.94 inference(transitivity,[status(thm)],[16842, 16840])).
% 15.78/10.94 tff(16844,plain,
% 15.78/10.94 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB105) <=> (~(v84(constB105, 1) | (~v84(constB105, 0)) | (~v84(constB105, 2)))))),
% 15.78/10.94 inference(quant_inst,[status(thm)],[])).
% 15.78/10.94 tff(16845,plain,
% 15.78/10.94 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB105) <=> (~(v84(constB105, 1) | (~v84(constB105, 2)) | (~v84(constB105, 0)))))),
% 15.78/10.94 inference(modus_ponens,[status(thm)],[16844, 16843])).
% 15.78/10.94 tff(16846,plain,
% 15.78/10.94 (v118(constB105) <=> (~(v84(constB105, 1) | (~v84(constB105, 2)) | (~v84(constB105, 0))))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16845, 2701])).
% 15.78/10.94 tff(16847,plain,
% 15.78/10.94 ((((~v84(constB105, 1)) <=> v84(constB104, 1)) | ((~v84(constB105, 2)) <=> v84(constB104, 2)) | ((~v84(constB105, 0)) <=> v84(constB104, 0))) | (~((~v84(constB105, 1)) <=> v84(constB104, 1)))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16848,plain,
% 15.78/10.94 (~((~v84(constB105, 1)) <=> v84(constB104, 1))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16847, 16471])).
% 15.78/10.94 tff(16849,plain,
% 15.78/10.94 ((((~v123(constB104, 2)) <=> v121(constB103, 2)) | ((~v123(constB104, 1)) <=> v121(constB103, 1)) | ((~v123(constB104, 0)) <=> v121(constB103, 0))) | (~((~v123(constB104, 1)) <=> v121(constB103, 1)))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16850,plain,
% 15.78/10.94 (~((~v123(constB104, 1)) <=> v121(constB103, 1))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16849, 16477])).
% 15.78/10.94 tff(16851,plain,
% 15.78/10.94 ((((~v121(constB103, 2)) <=> v124(constB103, 2)) | ((~v121(constB103, 0)) <=> v124(constB103, 0)) | ((~v121(constB103, 1)) <=> v124(constB103, 1))) | (~((~v121(constB103, 1)) <=> v124(constB103, 1)))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16852,plain,
% 15.78/10.94 (~((~v121(constB103, 1)) <=> v124(constB103, 1))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16851, 16491])).
% 15.78/10.94 tff(16853,plain,
% 15.78/10.94 ((v124(constB103, 0) | (~v124(constB103, 2)) | (~v124(constB103, 1))) | v124(constB103, 1)),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16854,plain,
% 15.78/10.94 (v124(constB103, 1)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16853, 16743])).
% 15.78/10.94 tff(16855,plain,
% 15.78/10.94 (((~v121(constB103, 1)) <=> v124(constB103, 1)) | v121(constB103, 1) | (~v124(constB103, 1))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16856,plain,
% 15.78/10.94 (v121(constB103, 1)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16855, 16854, 16852])).
% 15.78/10.94 tff(16857,plain,
% 15.78/10.94 (((~v123(constB104, 1)) <=> v121(constB103, 1)) | v123(constB104, 1) | (~v121(constB103, 1))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16858,plain,
% 15.78/10.94 (v123(constB104, 1)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16857, 16856, 16850])).
% 15.78/10.94 tff(16859,plain,
% 15.78/10.94 ((((~v84(constB104, 2)) <=> v123(constB104, 2)) | ((~v84(constB104, 1)) <=> v123(constB104, 1)) | ((~v84(constB104, 0)) <=> v123(constB104, 0))) | (~((~v84(constB104, 1)) <=> v123(constB104, 1)))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16860,plain,
% 15.78/10.94 (~((~v84(constB104, 1)) <=> v123(constB104, 1))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16859, 16829])).
% 15.78/10.94 tff(16861,plain,
% 15.78/10.94 (((~v84(constB104, 1)) <=> v123(constB104, 1)) | v84(constB104, 1) | (~v123(constB104, 1))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16862,plain,
% 15.78/10.94 (v84(constB104, 1)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16861, 16860, 16858])).
% 15.78/10.94 tff(16863,plain,
% 15.78/10.94 (((~v84(constB105, 1)) <=> v84(constB104, 1)) | v84(constB105, 1) | (~v84(constB104, 1))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16864,plain,
% 15.78/10.94 (v84(constB105, 1)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16863, 16862, 16848])).
% 15.78/10.94 tff(16865,plain,
% 15.78/10.94 ((v84(constB105, 1) | (~v84(constB105, 2)) | (~v84(constB105, 0))) | (~v84(constB105, 1))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16866,plain,
% 15.78/10.94 (v84(constB105, 1) | (~v84(constB105, 2)) | (~v84(constB105, 0))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16865, 16864])).
% 15.78/10.94 tff(16867,plain,
% 15.78/10.94 ((~(v118(constB105) <=> (~(v84(constB105, 1) | (~v84(constB105, 2)) | (~v84(constB105, 0)))))) | (~v118(constB105)) | (~(v84(constB105, 1) | (~v84(constB105, 2)) | (~v84(constB105, 0))))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16868,plain,
% 15.78/10.94 (~v118(constB105)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16867, 16866, 16846])).
% 15.78/10.94 tff(16869,plain,
% 15.78/10.94 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB105) <=> (~(v84(constB105, 1) | v84(constB105, 0) | (~v84(constB105, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB105) <=> (~(v84(constB105, 1) | v84(constB105, 0) | (~v84(constB105, 2))))))),
% 15.78/10.94 inference(rewrite,[status(thm)],[])).
% 15.78/10.94 tff(16870,plain,
% 15.78/10.94 ((v117(constB105) <=> (~(v84(constB105, 0) | v84(constB105, 1) | (~v84(constB105, 2))))) <=> (v117(constB105) <=> (~(v84(constB105, 1) | v84(constB105, 0) | (~v84(constB105, 2)))))),
% 15.78/10.94 inference(rewrite,[status(thm)],[])).
% 15.78/10.94 tff(16871,plain,
% 15.78/10.94 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB105) <=> (~(v84(constB105, 0) | v84(constB105, 1) | (~v84(constB105, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB105) <=> (~(v84(constB105, 1) | v84(constB105, 0) | (~v84(constB105, 2))))))),
% 15.78/10.94 inference(monotonicity,[status(thm)],[16870])).
% 15.78/10.94 tff(16872,plain,
% 15.78/10.94 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB105) <=> (~(v84(constB105, 0) | v84(constB105, 1) | (~v84(constB105, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB105) <=> (~(v84(constB105, 1) | v84(constB105, 0) | (~v84(constB105, 2))))))),
% 15.78/10.94 inference(transitivity,[status(thm)],[16871, 16869])).
% 15.78/10.94 tff(16873,plain,
% 15.78/10.94 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB105) <=> (~(v84(constB105, 0) | v84(constB105, 1) | (~v84(constB105, 2)))))),
% 15.78/10.94 inference(quant_inst,[status(thm)],[])).
% 15.78/10.94 tff(16874,plain,
% 15.78/10.94 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB105) <=> (~(v84(constB105, 1) | v84(constB105, 0) | (~v84(constB105, 2)))))),
% 15.78/10.94 inference(modus_ponens,[status(thm)],[16873, 16872])).
% 15.78/10.94 tff(16875,plain,
% 15.78/10.94 (v117(constB105) <=> (~(v84(constB105, 1) | v84(constB105, 0) | (~v84(constB105, 2))))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16874, 1199])).
% 15.78/10.94 tff(16876,plain,
% 15.78/10.94 ((v84(constB105, 1) | v84(constB105, 0) | (~v84(constB105, 2))) | (~v84(constB105, 1))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16877,plain,
% 15.78/10.94 (v84(constB105, 1) | v84(constB105, 0) | (~v84(constB105, 2))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16876, 16864])).
% 15.78/10.94 tff(16878,plain,
% 15.78/10.94 ((~(v117(constB105) <=> (~(v84(constB105, 1) | v84(constB105, 0) | (~v84(constB105, 2)))))) | (~v117(constB105)) | (~(v84(constB105, 1) | v84(constB105, 0) | (~v84(constB105, 2))))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16879,plain,
% 15.78/10.94 (~v117(constB105)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16878, 16877, 16875])).
% 15.78/10.94 tff(16880,plain,
% 15.78/10.94 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB105) <=> (~(v84(constB105, 2) | (~v84(constB105, 1)) | (~v84(constB105, 0)))))),
% 15.78/10.94 inference(quant_inst,[status(thm)],[])).
% 15.78/10.94 tff(16881,plain,
% 15.78/10.94 (v116(constB105) <=> (~(v84(constB105, 2) | (~v84(constB105, 1)) | (~v84(constB105, 0))))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16880, 911])).
% 15.78/10.94 tff(16882,plain,
% 15.78/10.94 ((v84(constB105, 2) | (~v84(constB105, 1)) | (~v84(constB105, 0))) | (~v84(constB105, 2))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16883,plain,
% 15.78/10.94 (v84(constB105, 2) | (~v84(constB105, 1)) | (~v84(constB105, 0))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16882, 16835])).
% 15.78/10.94 tff(16884,plain,
% 15.78/10.94 ((~(v116(constB105) <=> (~(v84(constB105, 2) | (~v84(constB105, 1)) | (~v84(constB105, 0)))))) | (~v116(constB105)) | (~(v84(constB105, 2) | (~v84(constB105, 1)) | (~v84(constB105, 0))))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16885,plain,
% 15.78/10.94 (~v116(constB105)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16884, 16883, 16881])).
% 15.78/10.94 tff(16886,plain,
% 15.78/10.94 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB105) <=> (~(v84(constB105, 2) | v84(constB105, 0) | (~v84(constB105, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB105) <=> (~(v84(constB105, 2) | v84(constB105, 0) | (~v84(constB105, 1))))))),
% 15.78/10.94 inference(rewrite,[status(thm)],[])).
% 15.78/10.94 tff(16887,plain,
% 15.78/10.94 ((v115(constB105) <=> (~(v84(constB105, 0) | v84(constB105, 2) | (~v84(constB105, 1))))) <=> (v115(constB105) <=> (~(v84(constB105, 2) | v84(constB105, 0) | (~v84(constB105, 1)))))),
% 15.78/10.94 inference(rewrite,[status(thm)],[])).
% 15.78/10.94 tff(16888,plain,
% 15.78/10.94 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB105) <=> (~(v84(constB105, 0) | v84(constB105, 2) | (~v84(constB105, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB105) <=> (~(v84(constB105, 2) | v84(constB105, 0) | (~v84(constB105, 1))))))),
% 15.78/10.94 inference(monotonicity,[status(thm)],[16887])).
% 15.78/10.94 tff(16889,plain,
% 15.78/10.94 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB105) <=> (~(v84(constB105, 0) | v84(constB105, 2) | (~v84(constB105, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB105) <=> (~(v84(constB105, 2) | v84(constB105, 0) | (~v84(constB105, 1))))))),
% 15.78/10.94 inference(transitivity,[status(thm)],[16888, 16886])).
% 15.78/10.94 tff(16890,plain,
% 15.78/10.94 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB105) <=> (~(v84(constB105, 0) | v84(constB105, 2) | (~v84(constB105, 1)))))),
% 15.78/10.94 inference(quant_inst,[status(thm)],[])).
% 15.78/10.94 tff(16891,plain,
% 15.78/10.94 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB105) <=> (~(v84(constB105, 2) | v84(constB105, 0) | (~v84(constB105, 1)))))),
% 15.78/10.94 inference(modus_ponens,[status(thm)],[16890, 16889])).
% 15.78/10.94 tff(16892,plain,
% 15.78/10.94 (v115(constB105) <=> (~(v84(constB105, 2) | v84(constB105, 0) | (~v84(constB105, 1))))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16891, 985])).
% 15.78/10.94 tff(16893,plain,
% 15.78/10.94 ((v84(constB105, 2) | v84(constB105, 0) | (~v84(constB105, 1))) | (~v84(constB105, 2))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16894,plain,
% 15.78/10.94 (v84(constB105, 2) | v84(constB105, 0) | (~v84(constB105, 1))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16893, 16835])).
% 15.78/10.94 tff(16895,plain,
% 15.78/10.94 ((~(v115(constB105) <=> (~(v84(constB105, 2) | v84(constB105, 0) | (~v84(constB105, 1)))))) | (~v115(constB105)) | (~(v84(constB105, 2) | v84(constB105, 0) | (~v84(constB105, 1))))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16896,plain,
% 15.78/10.94 (~v115(constB105)),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16895, 16894, 16892])).
% 15.78/10.94 tff(16897,plain,
% 15.78/10.94 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB105) <=> (~(v84(constB105, 1) | v84(constB105, 2) | (~v84(constB105, 0)))))),
% 15.78/10.94 inference(quant_inst,[status(thm)],[])).
% 15.78/10.94 tff(16898,plain,
% 15.78/10.94 (v114(constB105) <=> (~(v84(constB105, 1) | v84(constB105, 2) | (~v84(constB105, 0))))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16897, 1064])).
% 15.78/10.94 tff(16899,plain,
% 15.78/10.94 ((v84(constB105, 1) | v84(constB105, 2) | (~v84(constB105, 0))) | (~v84(constB105, 2))),
% 15.78/10.94 inference(tautology,[status(thm)],[])).
% 15.78/10.94 tff(16900,plain,
% 15.78/10.94 (v84(constB105, 1) | v84(constB105, 2) | (~v84(constB105, 0))),
% 15.78/10.94 inference(unit_resolution,[status(thm)],[16899, 16835])).
% 15.78/10.95 tff(16901,plain,
% 15.78/10.95 ((~(v114(constB105) <=> (~(v84(constB105, 1) | v84(constB105, 2) | (~v84(constB105, 0)))))) | (~v114(constB105)) | (~(v84(constB105, 1) | v84(constB105, 2) | (~v84(constB105, 0))))),
% 15.78/10.95 inference(tautology,[status(thm)],[])).
% 15.78/10.95 tff(16902,plain,
% 15.78/10.95 (~v114(constB105)),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16901, 16900, 16898])).
% 15.78/10.95 tff(16903,plain,
% 15.78/10.95 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB105) | v114(constB105) | v115(constB105) | v116(constB105) | v117(constB105) | v118(constB105) | (~(v124(constB105, 2) | v124(constB105, 1) | (~v124(constB105, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB105) | v114(constB105) | v115(constB105) | v116(constB105) | v117(constB105) | v118(constB105) | (~(v124(constB105, 2) | v124(constB105, 1) | (~v124(constB105, 0)))))),
% 15.78/10.95 inference(rewrite,[status(thm)],[])).
% 15.78/10.95 tff(16904,plain,
% 15.78/10.95 ((v118(constB105) | v117(constB105) | v116(constB105) | v115(constB105) | v114(constB105) | v113(constB105) | (~(v124(constB105, 2) | v124(constB105, 1) | (~v124(constB105, 0))))) <=> (v113(constB105) | v114(constB105) | v115(constB105) | v116(constB105) | v117(constB105) | v118(constB105) | (~(v124(constB105, 2) | v124(constB105, 1) | (~v124(constB105, 0)))))),
% 15.78/10.95 inference(rewrite,[status(thm)],[])).
% 15.78/10.95 tff(16905,plain,
% 15.78/10.95 ((~(v124(constB105, 1) | v124(constB105, 2) | (~v124(constB105, 0)))) <=> (~(v124(constB105, 2) | v124(constB105, 1) | (~v124(constB105, 0))))),
% 15.78/10.95 inference(rewrite,[status(thm)],[])).
% 15.78/10.95 tff(16906,plain,
% 15.78/10.95 ((v118(constB105) | v117(constB105) | v116(constB105) | v115(constB105) | v114(constB105) | v113(constB105) | (~(v124(constB105, 1) | v124(constB105, 2) | (~v124(constB105, 0))))) <=> (v118(constB105) | v117(constB105) | v116(constB105) | v115(constB105) | v114(constB105) | v113(constB105) | (~(v124(constB105, 2) | v124(constB105, 1) | (~v124(constB105, 0)))))),
% 15.78/10.95 inference(monotonicity,[status(thm)],[16905])).
% 15.78/10.95 tff(16907,plain,
% 15.78/10.95 ((v118(constB105) | v117(constB105) | v116(constB105) | v115(constB105) | v114(constB105) | v113(constB105) | (~(v124(constB105, 1) | v124(constB105, 2) | (~v124(constB105, 0))))) <=> (v113(constB105) | v114(constB105) | v115(constB105) | v116(constB105) | v117(constB105) | v118(constB105) | (~(v124(constB105, 2) | v124(constB105, 1) | (~v124(constB105, 0)))))),
% 15.78/10.95 inference(transitivity,[status(thm)],[16906, 16904])).
% 15.78/10.95 tff(16908,plain,
% 15.78/10.95 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB105) | v117(constB105) | v116(constB105) | v115(constB105) | v114(constB105) | v113(constB105) | (~(v124(constB105, 1) | v124(constB105, 2) | (~v124(constB105, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB105) | v114(constB105) | v115(constB105) | v116(constB105) | v117(constB105) | v118(constB105) | (~(v124(constB105, 2) | v124(constB105, 1) | (~v124(constB105, 0))))))),
% 15.78/10.95 inference(monotonicity,[status(thm)],[16907])).
% 15.78/10.95 tff(16909,plain,
% 15.78/10.95 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB105) | v117(constB105) | v116(constB105) | v115(constB105) | v114(constB105) | v113(constB105) | (~(v124(constB105, 1) | v124(constB105, 2) | (~v124(constB105, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB105) | v114(constB105) | v115(constB105) | v116(constB105) | v117(constB105) | v118(constB105) | (~(v124(constB105, 2) | v124(constB105, 1) | (~v124(constB105, 0)))))),
% 15.78/10.95 inference(transitivity,[status(thm)],[16908, 16903])).
% 15.78/10.95 tff(16910,plain,
% 15.78/10.95 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB105) | v117(constB105) | v116(constB105) | v115(constB105) | v114(constB105) | v113(constB105) | (~(v124(constB105, 1) | v124(constB105, 2) | (~v124(constB105, 0)))))),
% 15.78/10.95 inference(quant_inst,[status(thm)],[])).
% 15.78/10.95 tff(16911,plain,
% 15.78/10.95 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB105) | v114(constB105) | v115(constB105) | v116(constB105) | v117(constB105) | v118(constB105) | (~(v124(constB105, 2) | v124(constB105, 1) | (~v124(constB105, 0))))),
% 15.78/10.95 inference(modus_ponens,[status(thm)],[16910, 16909])).
% 15.78/10.95 tff(16912,plain,
% 15.78/10.95 (v113(constB105) | v114(constB105) | v115(constB105) | v116(constB105) | v117(constB105) | v118(constB105) | (~(v124(constB105, 2) | v124(constB105, 1) | (~v124(constB105, 0))))),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16911, 2777])).
% 15.78/10.95 tff(16913,plain,
% 15.78/10.95 (~(v124(constB105, 2) | v124(constB105, 1) | (~v124(constB105, 0)))),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16912, 16902, 16896, 16885, 16879, 16868, 16839])).
% 15.78/10.95 tff(16914,plain,
% 15.78/10.95 ((v124(constB105, 2) | v124(constB105, 1) | (~v124(constB105, 0))) | (~v124(constB105, 2))),
% 15.78/10.95 inference(tautology,[status(thm)],[])).
% 15.78/10.95 tff(16915,plain,
% 15.78/10.95 (~v124(constB105, 2)),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16914, 16913])).
% 15.78/10.95 tff(16916,plain,
% 15.78/10.95 (((~v121(constB105, 2)) <=> v124(constB105, 2)) | (~v121(constB105, 2)) | v124(constB105, 2)),
% 15.78/10.95 inference(tautology,[status(thm)],[])).
% 15.78/10.95 tff(16917,plain,
% 15.78/10.95 (~v121(constB105, 2)),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16916, 16915, 16441])).
% 15.78/10.95 tff(16918,plain,
% 15.78/10.95 (((~v123(constB106, 2)) <=> v121(constB105, 2)) | (~v123(constB106, 2)) | v121(constB105, 2)),
% 15.78/10.95 inference(tautology,[status(thm)],[])).
% 15.78/10.95 tff(16919,plain,
% 15.78/10.95 (~v123(constB106, 2)),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16918, 16917, 16427])).
% 15.78/10.95 tff(16920,plain,
% 15.78/10.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB105, constB106)) | (v94(constB106) <=> (~((~v95(constB106)) | (~v104(constB106))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB105, constB106)) | (v94(constB106) <=> (~((~v95(constB106)) | (~v104(constB106))))))),
% 15.78/10.95 inference(rewrite,[status(thm)],[])).
% 15.78/10.95 tff(16921,plain,
% 15.78/10.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB105, constB106)) | (v94(constB106) <=> (~((~v95(constB106)) | (~v104(constB106))))))),
% 15.78/10.95 inference(quant_inst,[status(thm)],[])).
% 15.78/10.95 tff(16922,plain,
% 15.78/10.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB105, constB106)) | (v94(constB106) <=> (~((~v95(constB106)) | (~v104(constB106)))))),
% 15.78/10.95 inference(modus_ponens,[status(thm)],[16921, 16920])).
% 15.78/10.95 tff(16923,plain,
% 15.78/10.95 (v94(constB106) <=> (~((~v95(constB106)) | (~v104(constB106))))),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16922, 5943, 770])).
% 15.78/10.95 tff(16924,plain,
% 15.78/10.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106))))))),
% 15.78/10.95 inference(rewrite,[status(thm)],[])).
% 15.78/10.95 tff(16925,plain,
% 15.78/10.95 (((~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v96(constB106)) | (~v1(constB106)))))) <=> ((~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106))))))),
% 15.78/10.95 inference(rewrite,[status(thm)],[])).
% 15.78/10.95 tff(16926,plain,
% 15.78/10.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v96(constB106)) | (~v1(constB106))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106)))))))),
% 15.78/10.95 inference(monotonicity,[status(thm)],[16925])).
% 15.78/10.95 tff(16927,plain,
% 15.78/10.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v96(constB106)) | (~v1(constB106))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106))))))),
% 15.78/10.95 inference(transitivity,[status(thm)],[16926, 16924])).
% 15.78/10.95 tff(16928,plain,
% 15.78/10.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v96(constB106)) | (~v1(constB106))))))),
% 15.78/10.95 inference(quant_inst,[status(thm)],[])).
% 15.78/10.95 tff(16929,plain,
% 15.78/10.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106)))))),
% 15.78/10.95 inference(modus_ponens,[status(thm)],[16928, 16927])).
% 15.78/10.95 tff(16930,plain,
% 15.78/10.95 (v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106))))),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16929, 5943, 790])).
% 15.78/10.95 tff(16931,plain,
% 15.78/10.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB105, constB106)) | ((~v96(constB106)) <=> v98(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB105, constB106)) | ((~v96(constB106)) <=> v98(constB106)))),
% 15.78/10.95 inference(rewrite,[status(thm)],[])).
% 15.78/10.95 tff(16932,plain,
% 15.78/10.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB105, constB106)) | ((~v96(constB106)) <=> v98(constB106)))),
% 15.78/10.95 inference(quant_inst,[status(thm)],[])).
% 15.78/10.95 tff(16933,plain,
% 15.78/10.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB105, constB106)) | ((~v96(constB106)) <=> v98(constB106))),
% 15.78/10.95 inference(modus_ponens,[status(thm)],[16932, 16931])).
% 15.78/10.95 tff(16934,plain,
% 15.78/10.95 ((~v96(constB106)) <=> v98(constB106)),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16933, 5943, 2332])).
% 15.78/10.95 tff(16935,plain,
% 15.78/10.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB105, constB106)) | (v98(constB106) <=> v1(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB105, constB106)) | (v98(constB106) <=> v1(constB105)))),
% 15.78/10.95 inference(rewrite,[status(thm)],[])).
% 15.78/10.95 tff(16936,plain,
% 15.78/10.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB105, constB106)) | (v98(constB106) <=> v1(constB105)))),
% 15.78/10.95 inference(quant_inst,[status(thm)],[])).
% 15.78/10.95 tff(16937,plain,
% 15.78/10.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB105, constB106)) | (v98(constB106) <=> v1(constB105))),
% 15.78/10.95 inference(modus_ponens,[status(thm)],[16936, 16935])).
% 15.78/10.95 tff(16938,plain,
% 15.78/10.95 (v98(constB106) <=> v1(constB105)),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16937, 5943, 2346])).
% 15.78/10.95 tff(16939,plain,
% 15.78/10.95 ((~(v98(constB106) <=> v1(constB105))) | (~v98(constB106)) | v1(constB105)),
% 15.78/10.95 inference(tautology,[status(thm)],[])).
% 15.78/10.95 tff(16940,plain,
% 15.78/10.95 ((~(v98(constB106) <=> v1(constB105))) | (~v98(constB106))),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16939, 6007])).
% 15.78/10.95 tff(16941,plain,
% 15.78/10.95 (~v98(constB106)),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16940, 16938])).
% 15.78/10.95 tff(16942,plain,
% 15.78/10.95 ((~((~v96(constB106)) <=> v98(constB106))) | v96(constB106) | v98(constB106)),
% 15.78/10.95 inference(tautology,[status(thm)],[])).
% 15.78/10.95 tff(16943,plain,
% 15.78/10.95 (v96(constB106)),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16942, 16941, 16934])).
% 15.78/10.95 tff(16944,plain,
% 15.78/10.95 ((~((~v1(constB106)) | (~v96(constB106)))) | (~v1(constB106)) | (~v96(constB106))),
% 15.78/10.95 inference(tautology,[status(thm)],[])).
% 15.78/10.95 tff(16945,plain,
% 15.78/10.95 ((~((~v1(constB106)) | (~v96(constB106)))) | (~v96(constB106))),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16944, 5914])).
% 15.78/10.95 tff(16946,plain,
% 15.78/10.95 (~((~v1(constB106)) | (~v96(constB106)))),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16945, 16943])).
% 15.78/10.95 tff(16947,plain,
% 15.78/10.95 ((~(v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106)))))) | v95(constB106) | ((~v1(constB106)) | (~v96(constB106)))),
% 15.78/10.95 inference(tautology,[status(thm)],[])).
% 15.78/10.95 tff(16948,plain,
% 15.78/10.95 (v95(constB106)),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16947, 16946, 16930])).
% 15.78/10.95 tff(16949,plain,
% 15.78/10.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB105, constB106)) | (v104(constB106) <=> v102(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB105, constB106)) | (v104(constB106) <=> v102(constB105)))),
% 15.78/10.95 inference(rewrite,[status(thm)],[])).
% 15.78/10.95 tff(16950,plain,
% 15.78/10.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB105, constB106)) | (v104(constB106) <=> v102(constB105)))),
% 15.78/10.95 inference(quant_inst,[status(thm)],[])).
% 15.78/10.95 tff(16951,plain,
% 15.78/10.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB105, constB106)) | (v104(constB106) <=> v102(constB105))),
% 15.78/10.95 inference(modus_ponens,[status(thm)],[16950, 16949])).
% 15.78/10.95 tff(16952,plain,
% 15.78/10.95 (v104(constB106) <=> v102(constB105)),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16951, 5943, 2373])).
% 15.78/10.95 tff(16953,plain,
% 15.78/10.95 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB105) <=> (v105(constB105) | v106(constB105)))),
% 15.78/10.95 inference(quant_inst,[status(thm)],[])).
% 15.78/10.95 tff(16954,plain,
% 15.78/10.95 (v102(constB105) <=> (v105(constB105) | v106(constB105))),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16953, 2384])).
% 15.78/10.95 tff(16955,plain,
% 15.78/10.95 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB105) <=> (~((~v107(constB105)) | (~v120(constB105)))))),
% 15.78/10.95 inference(quant_inst,[status(thm)],[])).
% 15.78/10.95 tff(16956,plain,
% 15.78/10.95 (v106(constB105) <=> (~((~v107(constB105)) | (~v120(constB105))))),
% 15.78/10.95 inference(unit_resolution,[status(thm)],[16955, 2396])).
% 15.78/10.95 tff(16957,plain,
% 15.78/10.95 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB105) <=> (v108(constB105) | v119(constB105)))),
% 15.78/10.95 inference(quant_inst,[status(thm)],[])).
% 15.78/10.95 tff(16958,plain,
% 15.78/10.95 (v107(constB105) <=> (v108(constB105) | v119(constB105))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16957, 2405])).
% 15.78/10.96 tff(16959,plain,
% 15.78/10.96 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB105) <=> (~(v84(constB105, 0) | (~v84(constB105, 1)) | (~v84(constB105, 2)))))),
% 15.78/10.96 inference(quant_inst,[status(thm)],[])).
% 15.78/10.96 tff(16960,plain,
% 15.78/10.96 (v119(constB105) <=> (~(v84(constB105, 0) | (~v84(constB105, 1)) | (~v84(constB105, 2))))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16959, 2849])).
% 15.78/10.96 tff(16961,plain,
% 15.78/10.96 ((((~v84(constB105, 1)) <=> v84(constB104, 1)) | ((~v84(constB105, 2)) <=> v84(constB104, 2)) | ((~v84(constB105, 0)) <=> v84(constB104, 0))) | (~((~v84(constB105, 0)) <=> v84(constB104, 0)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16962,plain,
% 15.78/10.96 (~((~v84(constB105, 0)) <=> v84(constB104, 0))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16961, 16471])).
% 15.78/10.96 tff(16963,plain,
% 15.78/10.96 ((((~v123(constB104, 2)) <=> v121(constB103, 2)) | ((~v123(constB104, 1)) <=> v121(constB103, 1)) | ((~v123(constB104, 0)) <=> v121(constB103, 0))) | (~((~v123(constB104, 0)) <=> v121(constB103, 0)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16964,plain,
% 15.78/10.96 (~((~v123(constB104, 0)) <=> v121(constB103, 0))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16963, 16477])).
% 15.78/10.96 tff(16965,plain,
% 15.78/10.96 ((((~v121(constB103, 2)) <=> v124(constB103, 2)) | ((~v121(constB103, 0)) <=> v124(constB103, 0)) | ((~v121(constB103, 1)) <=> v124(constB103, 1))) | (~((~v121(constB103, 0)) <=> v124(constB103, 0)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16966,plain,
% 15.78/10.96 (~((~v121(constB103, 0)) <=> v124(constB103, 0))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16965, 16491])).
% 15.78/10.96 tff(16967,plain,
% 15.78/10.96 ((v124(constB103, 0) | (~v124(constB103, 2)) | (~v124(constB103, 1))) | (~v124(constB103, 0))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16968,plain,
% 15.78/10.96 (~v124(constB103, 0)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16967, 16743])).
% 15.78/10.96 tff(16969,plain,
% 15.78/10.96 (((~v121(constB103, 0)) <=> v124(constB103, 0)) | (~v121(constB103, 0)) | v124(constB103, 0)),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16970,plain,
% 15.78/10.96 (~v121(constB103, 0)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16969, 16968, 16966])).
% 15.78/10.96 tff(16971,plain,
% 15.78/10.96 (((~v123(constB104, 0)) <=> v121(constB103, 0)) | (~v123(constB104, 0)) | v121(constB103, 0)),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16972,plain,
% 15.78/10.96 (~v123(constB104, 0)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16971, 16970, 16964])).
% 15.78/10.96 tff(16973,plain,
% 15.78/10.96 ((((~v84(constB104, 2)) <=> v123(constB104, 2)) | ((~v84(constB104, 1)) <=> v123(constB104, 1)) | ((~v84(constB104, 0)) <=> v123(constB104, 0))) | (~((~v84(constB104, 0)) <=> v123(constB104, 0)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16974,plain,
% 15.78/10.96 (~((~v84(constB104, 0)) <=> v123(constB104, 0))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16973, 16829])).
% 15.78/10.96 tff(16975,plain,
% 15.78/10.96 (((~v84(constB104, 0)) <=> v123(constB104, 0)) | (~v84(constB104, 0)) | v123(constB104, 0)),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16976,plain,
% 15.78/10.96 (~v84(constB104, 0)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16975, 16974, 16972])).
% 15.78/10.96 tff(16977,plain,
% 15.78/10.96 (((~v84(constB105, 0)) <=> v84(constB104, 0)) | (~v84(constB105, 0)) | v84(constB104, 0)),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16978,plain,
% 15.78/10.96 (~v84(constB105, 0)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16977, 16976, 16962])).
% 15.78/10.96 tff(16979,plain,
% 15.78/10.96 ((~(v84(constB105, 0) | (~v84(constB105, 1)) | (~v84(constB105, 2)))) | v84(constB105, 0) | (~v84(constB105, 1)) | (~v84(constB105, 2))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16980,plain,
% 15.78/10.96 (~(v84(constB105, 0) | (~v84(constB105, 1)) | (~v84(constB105, 2)))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16979, 16864, 16978, 16835])).
% 15.78/10.96 tff(16981,plain,
% 15.78/10.96 ((~(v119(constB105) <=> (~(v84(constB105, 0) | (~v84(constB105, 1)) | (~v84(constB105, 2)))))) | v119(constB105) | (v84(constB105, 0) | (~v84(constB105, 1)) | (~v84(constB105, 2)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16982,plain,
% 15.78/10.96 (v119(constB105)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16981, 16980, 16960])).
% 15.78/10.96 tff(16983,plain,
% 15.78/10.96 ((v108(constB105) | v119(constB105)) | (~v119(constB105))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16984,plain,
% 15.78/10.96 (v108(constB105) | v119(constB105)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16983, 16982])).
% 15.78/10.96 tff(16985,plain,
% 15.78/10.96 ((~(v107(constB105) <=> (v108(constB105) | v119(constB105)))) | v107(constB105) | (~(v108(constB105) | v119(constB105)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16986,plain,
% 15.78/10.96 (v107(constB105)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16985, 16984, 16958])).
% 15.78/10.96 tff(16987,plain,
% 15.78/10.96 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB105)) <=> v105(constB105))),
% 15.78/10.96 inference(quant_inst,[status(thm)],[])).
% 15.78/10.96 tff(16988,plain,
% 15.78/10.96 ((~v120(constB105)) <=> v105(constB105)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16987, 2484])).
% 15.78/10.96 tff(16989,plain,
% 15.78/10.96 ((~((~v120(constB105)) <=> v105(constB105))) | v120(constB105) | v105(constB105)),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16990,plain,
% 15.78/10.96 ((~((~v120(constB105)) <=> v105(constB105))) | v120(constB105)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16989, 16434])).
% 15.78/10.96 tff(16991,plain,
% 15.78/10.96 (v120(constB105)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16990, 16988])).
% 15.78/10.96 tff(16992,plain,
% 15.78/10.96 ((~((~v107(constB105)) | (~v120(constB105)))) | (~v107(constB105)) | (~v120(constB105))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16993,plain,
% 15.78/10.96 ((~((~v107(constB105)) | (~v120(constB105)))) | (~v107(constB105))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16992, 16991])).
% 15.78/10.96 tff(16994,plain,
% 15.78/10.96 (~((~v107(constB105)) | (~v120(constB105)))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16993, 16986])).
% 15.78/10.96 tff(16995,plain,
% 15.78/10.96 ((~(v106(constB105) <=> (~((~v107(constB105)) | (~v120(constB105)))))) | v106(constB105) | ((~v107(constB105)) | (~v120(constB105)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16996,plain,
% 15.78/10.96 (v106(constB105)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16995, 16994, 16956])).
% 15.78/10.96 tff(16997,plain,
% 15.78/10.96 ((v105(constB105) | v106(constB105)) | (~v106(constB105))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(16998,plain,
% 15.78/10.96 (v105(constB105) | v106(constB105)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16997, 16996])).
% 15.78/10.96 tff(16999,plain,
% 15.78/10.96 ((~(v102(constB105) <=> (v105(constB105) | v106(constB105)))) | v102(constB105) | (~(v105(constB105) | v106(constB105)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17000,plain,
% 15.78/10.96 (v102(constB105)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[16999, 16998, 16954])).
% 15.78/10.96 tff(17001,plain,
% 15.78/10.96 ((~(v104(constB106) <=> v102(constB105))) | v104(constB106) | (~v102(constB105))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17002,plain,
% 15.78/10.96 (v104(constB106)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17001, 17000, 16952])).
% 15.78/10.96 tff(17003,plain,
% 15.78/10.96 ((~((~v95(constB106)) | (~v104(constB106)))) | (~v95(constB106)) | (~v104(constB106))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17004,plain,
% 15.78/10.96 (~((~v95(constB106)) | (~v104(constB106)))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17003, 17002, 16948])).
% 15.78/10.96 tff(17005,plain,
% 15.78/10.96 ((~(v94(constB106) <=> (~((~v95(constB106)) | (~v104(constB106)))))) | v94(constB106) | ((~v95(constB106)) | (~v104(constB106)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17006,plain,
% 15.78/10.96 (v94(constB106)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17005, 17004, 16923])).
% 15.78/10.96 tff(17007,plain,
% 15.78/10.96 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB106)) | (~(((~v84(constB106, 0)) <=> v123(constB106, 0)) | ((~v84(constB106, 2)) <=> v123(constB106, 2)) | ((~v84(constB106, 1)) <=> v123(constB106, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB106)) | (~(((~v84(constB106, 0)) <=> v123(constB106, 0)) | ((~v84(constB106, 2)) <=> v123(constB106, 2)) | ((~v84(constB106, 1)) <=> v123(constB106, 1)))))),
% 15.78/10.96 inference(rewrite,[status(thm)],[])).
% 15.78/10.96 tff(17008,plain,
% 15.78/10.96 (((~v94(constB106)) | (~(((~v84(constB106, 2)) <=> v123(constB106, 2)) | ((~v84(constB106, 1)) <=> v123(constB106, 1)) | ((~v84(constB106, 0)) <=> v123(constB106, 0))))) <=> ((~v94(constB106)) | (~(((~v84(constB106, 0)) <=> v123(constB106, 0)) | ((~v84(constB106, 2)) <=> v123(constB106, 2)) | ((~v84(constB106, 1)) <=> v123(constB106, 1)))))),
% 15.78/10.96 inference(rewrite,[status(thm)],[])).
% 15.78/10.96 tff(17009,plain,
% 15.78/10.96 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB106)) | (~(((~v84(constB106, 2)) <=> v123(constB106, 2)) | ((~v84(constB106, 1)) <=> v123(constB106, 1)) | ((~v84(constB106, 0)) <=> v123(constB106, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB106)) | (~(((~v84(constB106, 0)) <=> v123(constB106, 0)) | ((~v84(constB106, 2)) <=> v123(constB106, 2)) | ((~v84(constB106, 1)) <=> v123(constB106, 1))))))),
% 15.78/10.96 inference(monotonicity,[status(thm)],[17008])).
% 15.78/10.96 tff(17010,plain,
% 15.78/10.96 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB106)) | (~(((~v84(constB106, 2)) <=> v123(constB106, 2)) | ((~v84(constB106, 1)) <=> v123(constB106, 1)) | ((~v84(constB106, 0)) <=> v123(constB106, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB106)) | (~(((~v84(constB106, 0)) <=> v123(constB106, 0)) | ((~v84(constB106, 2)) <=> v123(constB106, 2)) | ((~v84(constB106, 1)) <=> v123(constB106, 1)))))),
% 15.78/10.96 inference(transitivity,[status(thm)],[17009, 17007])).
% 15.78/10.96 tff(17011,plain,
% 15.78/10.96 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB106)) | (~(((~v84(constB106, 2)) <=> v123(constB106, 2)) | ((~v84(constB106, 1)) <=> v123(constB106, 1)) | ((~v84(constB106, 0)) <=> v123(constB106, 0)))))),
% 15.78/10.96 inference(quant_inst,[status(thm)],[])).
% 15.78/10.96 tff(17012,plain,
% 15.78/10.96 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB106)) | (~(((~v84(constB106, 0)) <=> v123(constB106, 0)) | ((~v84(constB106, 2)) <=> v123(constB106, 2)) | ((~v84(constB106, 1)) <=> v123(constB106, 1))))),
% 15.78/10.96 inference(modus_ponens,[status(thm)],[17011, 17010])).
% 15.78/10.96 tff(17013,plain,
% 15.78/10.96 ((~v94(constB106)) | (~(((~v84(constB106, 0)) <=> v123(constB106, 0)) | ((~v84(constB106, 2)) <=> v123(constB106, 2)) | ((~v84(constB106, 1)) <=> v123(constB106, 1))))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17012, 2517])).
% 15.78/10.96 tff(17014,plain,
% 15.78/10.96 (~(((~v84(constB106, 0)) <=> v123(constB106, 0)) | ((~v84(constB106, 2)) <=> v123(constB106, 2)) | ((~v84(constB106, 1)) <=> v123(constB106, 1)))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17013, 17006])).
% 15.78/10.96 tff(17015,plain,
% 15.78/10.96 ((((~v84(constB106, 0)) <=> v123(constB106, 0)) | ((~v84(constB106, 2)) <=> v123(constB106, 2)) | ((~v84(constB106, 1)) <=> v123(constB106, 1))) | (~((~v84(constB106, 2)) <=> v123(constB106, 2)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17016,plain,
% 15.78/10.96 (~((~v84(constB106, 2)) <=> v123(constB106, 2))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17015, 17014])).
% 15.78/10.96 tff(17017,plain,
% 15.78/10.96 (((~v84(constB106, 2)) <=> v123(constB106, 2)) | (~v84(constB106, 2)) | v123(constB106, 2)),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17018,plain,
% 15.78/10.96 (~v84(constB106, 2)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17017, 17016, 16919])).
% 15.78/10.96 tff(17019,plain,
% 15.78/10.96 (((~v84(constB107, 2)) <=> v84(constB106, 2)) | (~v84(constB107, 2)) | v84(constB106, 2)),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17020,plain,
% 15.78/10.96 (~v84(constB107, 2)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17019, 17018, 16421])).
% 15.78/10.96 tff(17021,plain,
% 15.78/10.96 ((((~v84(constB107, 1)) <=> v84(constB106, 1)) | ((~v84(constB107, 2)) <=> v84(constB106, 2)) | ((~v84(constB107, 0)) <=> v84(constB106, 0))) | (~((~v84(constB107, 0)) <=> v84(constB106, 0)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17022,plain,
% 15.78/10.96 (~((~v84(constB107, 0)) <=> v84(constB106, 0))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17021, 16419])).
% 15.78/10.96 tff(17023,plain,
% 15.78/10.96 ((((~v123(constB106, 2)) <=> v121(constB105, 2)) | ((~v123(constB106, 1)) <=> v121(constB105, 1)) | ((~v123(constB106, 0)) <=> v121(constB105, 0))) | (~((~v123(constB106, 0)) <=> v121(constB105, 0)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17024,plain,
% 15.78/10.96 (~((~v123(constB106, 0)) <=> v121(constB105, 0))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17023, 16425])).
% 15.78/10.96 tff(17025,plain,
% 15.78/10.96 ((((~v121(constB105, 2)) <=> v124(constB105, 2)) | ((~v121(constB105, 0)) <=> v124(constB105, 0)) | ((~v121(constB105, 1)) <=> v124(constB105, 1))) | (~((~v121(constB105, 0)) <=> v124(constB105, 0)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17026,plain,
% 15.78/10.96 (~((~v121(constB105, 0)) <=> v124(constB105, 0))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17025, 16439])).
% 15.78/10.96 tff(17027,plain,
% 15.78/10.96 ((v124(constB105, 2) | v124(constB105, 1) | (~v124(constB105, 0))) | v124(constB105, 0)),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17028,plain,
% 15.78/10.96 (v124(constB105, 0)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17027, 16913])).
% 15.78/10.96 tff(17029,plain,
% 15.78/10.96 (((~v121(constB105, 0)) <=> v124(constB105, 0)) | v121(constB105, 0) | (~v124(constB105, 0))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17030,plain,
% 15.78/10.96 (v121(constB105, 0)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17029, 17028, 17026])).
% 15.78/10.96 tff(17031,plain,
% 15.78/10.96 (((~v123(constB106, 0)) <=> v121(constB105, 0)) | v123(constB106, 0) | (~v121(constB105, 0))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17032,plain,
% 15.78/10.96 (v123(constB106, 0)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17031, 17030, 17024])).
% 15.78/10.96 tff(17033,plain,
% 15.78/10.96 ((((~v84(constB106, 0)) <=> v123(constB106, 0)) | ((~v84(constB106, 2)) <=> v123(constB106, 2)) | ((~v84(constB106, 1)) <=> v123(constB106, 1))) | (~((~v84(constB106, 0)) <=> v123(constB106, 0)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17034,plain,
% 15.78/10.96 (~((~v84(constB106, 0)) <=> v123(constB106, 0))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17033, 17014])).
% 15.78/10.96 tff(17035,plain,
% 15.78/10.96 (((~v84(constB106, 0)) <=> v123(constB106, 0)) | v84(constB106, 0) | (~v123(constB106, 0))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17036,plain,
% 15.78/10.96 (v84(constB106, 0)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17035, 17034, 17032])).
% 15.78/10.96 tff(17037,plain,
% 15.78/10.96 (((~v84(constB107, 0)) <=> v84(constB106, 0)) | v84(constB107, 0) | (~v84(constB106, 0))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17038,plain,
% 15.78/10.96 (v84(constB107, 0)),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17037, 17036, 17022])).
% 15.78/10.96 tff(17039,plain,
% 15.78/10.96 ((((~v84(constB107, 1)) <=> v84(constB106, 1)) | ((~v84(constB107, 2)) <=> v84(constB106, 2)) | ((~v84(constB107, 0)) <=> v84(constB106, 0))) | (~((~v84(constB107, 1)) <=> v84(constB106, 1)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17040,plain,
% 15.78/10.96 (~((~v84(constB107, 1)) <=> v84(constB106, 1))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17039, 16419])).
% 15.78/10.96 tff(17041,plain,
% 15.78/10.96 ((((~v123(constB106, 2)) <=> v121(constB105, 2)) | ((~v123(constB106, 1)) <=> v121(constB105, 1)) | ((~v123(constB106, 0)) <=> v121(constB105, 0))) | (~((~v123(constB106, 1)) <=> v121(constB105, 1)))),
% 15.78/10.96 inference(tautology,[status(thm)],[])).
% 15.78/10.96 tff(17042,plain,
% 15.78/10.96 (~((~v123(constB106, 1)) <=> v121(constB105, 1))),
% 15.78/10.96 inference(unit_resolution,[status(thm)],[17041, 16425])).
% 15.78/10.96 tff(17043,plain,
% 15.78/10.96 ((((~v121(constB105, 2)) <=> v124(constB105, 2)) | ((~v121(constB105, 0)) <=> v124(constB105, 0)) | ((~v121(constB105, 1)) <=> v124(constB105, 1))) | (~((~v121(constB105, 1)) <=> v124(constB105, 1)))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17044,plain,
% 15.78/10.97 (~((~v121(constB105, 1)) <=> v124(constB105, 1))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17043, 16439])).
% 15.78/10.97 tff(17045,plain,
% 15.78/10.97 ((v124(constB105, 2) | v124(constB105, 1) | (~v124(constB105, 0))) | (~v124(constB105, 1))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17046,plain,
% 15.78/10.97 (~v124(constB105, 1)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17045, 16913])).
% 15.78/10.97 tff(17047,plain,
% 15.78/10.97 (((~v121(constB105, 1)) <=> v124(constB105, 1)) | (~v121(constB105, 1)) | v124(constB105, 1)),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17048,plain,
% 15.78/10.97 (~v121(constB105, 1)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17047, 17046, 17044])).
% 15.78/10.97 tff(17049,plain,
% 15.78/10.97 (((~v123(constB106, 1)) <=> v121(constB105, 1)) | (~v123(constB106, 1)) | v121(constB105, 1)),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17050,plain,
% 15.78/10.97 (~v123(constB106, 1)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17049, 17048, 17042])).
% 15.78/10.97 tff(17051,plain,
% 15.78/10.97 ((((~v84(constB106, 0)) <=> v123(constB106, 0)) | ((~v84(constB106, 2)) <=> v123(constB106, 2)) | ((~v84(constB106, 1)) <=> v123(constB106, 1))) | (~((~v84(constB106, 1)) <=> v123(constB106, 1)))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17052,plain,
% 15.78/10.97 (~((~v84(constB106, 1)) <=> v123(constB106, 1))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17051, 17014])).
% 15.78/10.97 tff(17053,plain,
% 15.78/10.97 (((~v84(constB106, 1)) <=> v123(constB106, 1)) | (~v84(constB106, 1)) | v123(constB106, 1)),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17054,plain,
% 15.78/10.97 (~v84(constB106, 1)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17053, 17052, 17050])).
% 15.78/10.97 tff(17055,plain,
% 15.78/10.97 (((~v84(constB107, 1)) <=> v84(constB106, 1)) | (~v84(constB107, 1)) | v84(constB106, 1)),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17056,plain,
% 15.78/10.97 (~v84(constB107, 1)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17055, 17054, 17040])).
% 15.78/10.97 tff(17057,plain,
% 15.78/10.97 ((~(v84(constB107, 1) | v84(constB107, 2) | (~v84(constB107, 0)))) | v84(constB107, 1) | v84(constB107, 2) | (~v84(constB107, 0))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17058,plain,
% 15.78/10.97 (~(v84(constB107, 1) | v84(constB107, 2) | (~v84(constB107, 0)))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17057, 17056, 17038, 17020])).
% 15.78/10.97 tff(17059,plain,
% 15.78/10.97 ((~(v114(constB107) <=> (~(v84(constB107, 1) | v84(constB107, 2) | (~v84(constB107, 0)))))) | v114(constB107) | (v84(constB107, 1) | v84(constB107, 2) | (~v84(constB107, 0)))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17060,plain,
% 15.78/10.97 (v114(constB107)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17059, 17058, 16388])).
% 15.78/10.97 tff(17061,plain,
% 15.78/10.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB107)) | (~(v124(constB107, 2) | v124(constB107, 0) | (~v124(constB107, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB107)) | (~(v124(constB107, 2) | v124(constB107, 0) | (~v124(constB107, 1)))))),
% 15.78/10.97 inference(rewrite,[status(thm)],[])).
% 15.78/10.97 tff(17062,plain,
% 15.78/10.97 (((~v114(constB107)) | (~(v124(constB107, 0) | v124(constB107, 2) | (~v124(constB107, 1))))) <=> ((~v114(constB107)) | (~(v124(constB107, 2) | v124(constB107, 0) | (~v124(constB107, 1)))))),
% 15.78/10.97 inference(rewrite,[status(thm)],[])).
% 15.78/10.97 tff(17063,plain,
% 15.78/10.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB107)) | (~(v124(constB107, 0) | v124(constB107, 2) | (~v124(constB107, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB107)) | (~(v124(constB107, 2) | v124(constB107, 0) | (~v124(constB107, 1))))))),
% 15.78/10.97 inference(monotonicity,[status(thm)],[17062])).
% 15.78/10.97 tff(17064,plain,
% 15.78/10.97 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB107)) | (~(v124(constB107, 0) | v124(constB107, 2) | (~v124(constB107, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB107)) | (~(v124(constB107, 2) | v124(constB107, 0) | (~v124(constB107, 1)))))),
% 15.78/10.97 inference(transitivity,[status(thm)],[17063, 17061])).
% 15.78/10.97 tff(17065,plain,
% 15.78/10.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB107)) | (~(v124(constB107, 0) | v124(constB107, 2) | (~v124(constB107, 1)))))),
% 15.78/10.97 inference(quant_inst,[status(thm)],[])).
% 15.78/10.97 tff(17066,plain,
% 15.78/10.97 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB107)) | (~(v124(constB107, 2) | v124(constB107, 0) | (~v124(constB107, 1))))),
% 15.78/10.97 inference(modus_ponens,[status(thm)],[17065, 17064])).
% 15.78/10.97 tff(17067,plain,
% 15.78/10.97 ((~v114(constB107)) | (~(v124(constB107, 2) | v124(constB107, 0) | (~v124(constB107, 1))))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17066, 2964])).
% 15.78/10.97 tff(17068,plain,
% 15.78/10.97 (~(v124(constB107, 2) | v124(constB107, 0) | (~v124(constB107, 1)))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17067, 17060])).
% 15.78/10.97 tff(17069,plain,
% 15.78/10.97 ((v124(constB107, 2) | v124(constB107, 0) | (~v124(constB107, 1))) | (~v124(constB107, 2))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17070,plain,
% 15.78/10.97 (~v124(constB107, 2)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17069, 17068])).
% 15.78/10.97 tff(17071,plain,
% 15.78/10.97 (((~v121(constB107, 2)) <=> v124(constB107, 2)) | (~v121(constB107, 2)) | v124(constB107, 2)),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17072,plain,
% 15.78/10.97 (~v121(constB107, 2)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17071, 17070, 16386])).
% 15.78/10.97 tff(17073,plain,
% 15.78/10.97 (((~v123(constB108, 2)) <=> v121(constB107, 2)) | (~v123(constB108, 2)) | v121(constB107, 2)),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17074,plain,
% 15.78/10.97 (~v123(constB108, 2)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17073, 17072, 16372])).
% 15.78/10.97 tff(17075,plain,
% 15.78/10.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB107, constB108)) | (v94(constB108) <=> (~((~v95(constB108)) | (~v104(constB108))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB107, constB108)) | (v94(constB108) <=> (~((~v95(constB108)) | (~v104(constB108))))))),
% 15.78/10.97 inference(rewrite,[status(thm)],[])).
% 15.78/10.97 tff(17076,plain,
% 15.78/10.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB107, constB108)) | (v94(constB108) <=> (~((~v95(constB108)) | (~v104(constB108))))))),
% 15.78/10.97 inference(quant_inst,[status(thm)],[])).
% 15.78/10.97 tff(17077,plain,
% 15.78/10.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB107, constB108)) | (v94(constB108) <=> (~((~v95(constB108)) | (~v104(constB108)))))),
% 15.78/10.97 inference(modus_ponens,[status(thm)],[17076, 17075])).
% 15.78/10.97 tff(17078,plain,
% 15.78/10.97 (v94(constB108) <=> (~((~v95(constB108)) | (~v104(constB108))))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17077, 16366, 770])).
% 15.78/10.97 tff(17079,plain,
% 15.78/10.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108))))))),
% 15.78/10.97 inference(rewrite,[status(thm)],[])).
% 15.78/10.97 tff(17080,plain,
% 15.78/10.97 (((~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v96(constB108)) | (~v1(constB108)))))) <=> ((~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108))))))),
% 15.78/10.97 inference(rewrite,[status(thm)],[])).
% 15.78/10.97 tff(17081,plain,
% 15.78/10.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v96(constB108)) | (~v1(constB108))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108)))))))),
% 15.78/10.97 inference(monotonicity,[status(thm)],[17080])).
% 15.78/10.97 tff(17082,plain,
% 15.78/10.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v96(constB108)) | (~v1(constB108))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108))))))),
% 15.78/10.97 inference(transitivity,[status(thm)],[17081, 17079])).
% 15.78/10.97 tff(17083,plain,
% 15.78/10.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v96(constB108)) | (~v1(constB108))))))),
% 15.78/10.97 inference(quant_inst,[status(thm)],[])).
% 15.78/10.97 tff(17084,plain,
% 15.78/10.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108)))))),
% 15.78/10.97 inference(modus_ponens,[status(thm)],[17083, 17082])).
% 15.78/10.97 tff(17085,plain,
% 15.78/10.97 (v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108))))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17084, 16366, 790])).
% 15.78/10.97 tff(17086,plain,
% 15.78/10.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB107, constB108)) | ((~v96(constB108)) <=> v98(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB107, constB108)) | ((~v96(constB108)) <=> v98(constB108)))),
% 15.78/10.97 inference(rewrite,[status(thm)],[])).
% 15.78/10.97 tff(17087,plain,
% 15.78/10.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB107, constB108)) | ((~v96(constB108)) <=> v98(constB108)))),
% 15.78/10.97 inference(quant_inst,[status(thm)],[])).
% 15.78/10.97 tff(17088,plain,
% 15.78/10.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB107, constB108)) | ((~v96(constB108)) <=> v98(constB108))),
% 15.78/10.97 inference(modus_ponens,[status(thm)],[17087, 17086])).
% 15.78/10.97 tff(17089,plain,
% 15.78/10.97 ((~v96(constB108)) <=> v98(constB108)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17088, 16366, 2332])).
% 15.78/10.97 tff(17090,plain,
% 15.78/10.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB107, constB108)) | (v98(constB108) <=> v1(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB107, constB108)) | (v98(constB108) <=> v1(constB107)))),
% 15.78/10.97 inference(rewrite,[status(thm)],[])).
% 15.78/10.97 tff(17091,plain,
% 15.78/10.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB107, constB108)) | (v98(constB108) <=> v1(constB107)))),
% 15.78/10.97 inference(quant_inst,[status(thm)],[])).
% 15.78/10.97 tff(17092,plain,
% 15.78/10.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB107, constB108)) | (v98(constB108) <=> v1(constB107))),
% 15.78/10.97 inference(modus_ponens,[status(thm)],[17091, 17090])).
% 15.78/10.97 tff(17093,plain,
% 15.78/10.97 (v98(constB108) <=> v1(constB107)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17092, 16366, 2346])).
% 15.78/10.97 tff(17094,plain,
% 15.78/10.97 ((~(v98(constB108) <=> v1(constB107))) | (~v98(constB108)) | v1(constB107)),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17095,plain,
% 15.78/10.97 ((~(v98(constB108) <=> v1(constB107))) | (~v98(constB108))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17094, 16402])).
% 15.78/10.97 tff(17096,plain,
% 15.78/10.97 (~v98(constB108)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17095, 17093])).
% 15.78/10.97 tff(17097,plain,
% 15.78/10.97 ((~((~v96(constB108)) <=> v98(constB108))) | v96(constB108) | v98(constB108)),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17098,plain,
% 15.78/10.97 (v96(constB108)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17097, 17096, 17089])).
% 15.78/10.97 tff(17099,plain,
% 15.78/10.97 (v1(constB108) <=> v1(constB108)),
% 15.78/10.97 inference(rewrite,[status(thm)],[])).
% 15.78/10.97 tff(17100,axiom,(v1(constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_108')).
% 15.78/10.97 tff(17101,plain,
% 15.78/10.97 (v1(constB108)),
% 15.78/10.97 inference(modus_ponens,[status(thm)],[17100, 17099])).
% 15.78/10.97 tff(17102,plain,
% 15.78/10.97 ((~((~v1(constB108)) | (~v96(constB108)))) | (~v1(constB108)) | (~v96(constB108))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17103,plain,
% 15.78/10.97 ((~((~v1(constB108)) | (~v96(constB108)))) | (~v96(constB108))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17102, 17101])).
% 15.78/10.97 tff(17104,plain,
% 15.78/10.97 (~((~v1(constB108)) | (~v96(constB108)))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17103, 17098])).
% 15.78/10.97 tff(17105,plain,
% 15.78/10.97 ((~(v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108)))))) | v95(constB108) | ((~v1(constB108)) | (~v96(constB108)))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17106,plain,
% 15.78/10.97 (v95(constB108)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17105, 17104, 17085])).
% 15.78/10.97 tff(17107,plain,
% 15.78/10.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB107, constB108)) | (v104(constB108) <=> v102(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB107, constB108)) | (v104(constB108) <=> v102(constB107)))),
% 15.78/10.97 inference(rewrite,[status(thm)],[])).
% 15.78/10.97 tff(17108,plain,
% 15.78/10.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB107, constB108)) | (v104(constB108) <=> v102(constB107)))),
% 15.78/10.97 inference(quant_inst,[status(thm)],[])).
% 15.78/10.97 tff(17109,plain,
% 15.78/10.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB107, constB108)) | (v104(constB108) <=> v102(constB107))),
% 15.78/10.97 inference(modus_ponens,[status(thm)],[17108, 17107])).
% 15.78/10.97 tff(17110,plain,
% 15.78/10.97 (v104(constB108) <=> v102(constB107)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17109, 16366, 2373])).
% 15.78/10.97 tff(17111,plain,
% 15.78/10.97 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB107) <=> (v105(constB107) | v106(constB107)))),
% 15.78/10.97 inference(quant_inst,[status(thm)],[])).
% 15.78/10.97 tff(17112,plain,
% 15.78/10.97 (v102(constB107) <=> (v105(constB107) | v106(constB107))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17111, 2384])).
% 15.78/10.97 tff(17113,plain,
% 15.78/10.97 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB107) <=> (~((~v107(constB107)) | (~v120(constB107)))))),
% 15.78/10.97 inference(quant_inst,[status(thm)],[])).
% 15.78/10.97 tff(17114,plain,
% 15.78/10.97 (v106(constB107) <=> (~((~v107(constB107)) | (~v120(constB107))))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17113, 2396])).
% 15.78/10.97 tff(17115,plain,
% 15.78/10.97 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB107) <=> (v108(constB107) | v119(constB107)))),
% 15.78/10.97 inference(quant_inst,[status(thm)],[])).
% 15.78/10.97 tff(17116,plain,
% 15.78/10.97 (v107(constB107) <=> (v108(constB107) | v119(constB107))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17115, 2405])).
% 15.78/10.97 tff(17117,plain,
% 15.78/10.97 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB107) <=> (v109(constB107) | v118(constB107)))),
% 15.78/10.97 inference(quant_inst,[status(thm)],[])).
% 15.78/10.97 tff(17118,plain,
% 15.78/10.97 (v108(constB107) <=> (v109(constB107) | v118(constB107))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17117, 2414])).
% 15.78/10.97 tff(17119,plain,
% 15.78/10.97 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB107) <=> (v110(constB107) | v117(constB107)))),
% 15.78/10.97 inference(quant_inst,[status(thm)],[])).
% 15.78/10.97 tff(17120,plain,
% 15.78/10.97 (v109(constB107) <=> (v110(constB107) | v117(constB107))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17119, 2423])).
% 15.78/10.97 tff(17121,plain,
% 15.78/10.97 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB107) <=> (v111(constB107) | v116(constB107)))),
% 15.78/10.97 inference(quant_inst,[status(thm)],[])).
% 15.78/10.97 tff(17122,plain,
% 15.78/10.97 (v110(constB107) <=> (v111(constB107) | v116(constB107))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17121, 2432])).
% 15.78/10.97 tff(17123,plain,
% 15.78/10.97 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB107) <=> (v112(constB107) | v115(constB107)))),
% 15.78/10.97 inference(quant_inst,[status(thm)],[])).
% 15.78/10.97 tff(17124,plain,
% 15.78/10.97 (v111(constB107) <=> (v112(constB107) | v115(constB107))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17123, 2441])).
% 15.78/10.97 tff(17125,plain,
% 15.78/10.97 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB107) <=> (v113(constB107) | v114(constB107)))),
% 15.78/10.97 inference(quant_inst,[status(thm)],[])).
% 15.78/10.97 tff(17126,plain,
% 15.78/10.97 (v112(constB107) <=> (v113(constB107) | v114(constB107))),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17125, 2450])).
% 15.78/10.97 tff(17127,plain,
% 15.78/10.97 ((v113(constB107) | v114(constB107)) | (~v114(constB107))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17128,plain,
% 15.78/10.97 (v113(constB107) | v114(constB107)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17127, 17060])).
% 15.78/10.97 tff(17129,plain,
% 15.78/10.97 ((~(v112(constB107) <=> (v113(constB107) | v114(constB107)))) | v112(constB107) | (~(v113(constB107) | v114(constB107)))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17130,plain,
% 15.78/10.97 (v112(constB107)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17129, 17128, 17126])).
% 15.78/10.97 tff(17131,plain,
% 15.78/10.97 ((v112(constB107) | v115(constB107)) | (~v112(constB107))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17132,plain,
% 15.78/10.97 (v112(constB107) | v115(constB107)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17131, 17130])).
% 15.78/10.97 tff(17133,plain,
% 15.78/10.97 ((~(v111(constB107) <=> (v112(constB107) | v115(constB107)))) | v111(constB107) | (~(v112(constB107) | v115(constB107)))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17134,plain,
% 15.78/10.97 (v111(constB107)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17133, 17132, 17124])).
% 15.78/10.97 tff(17135,plain,
% 15.78/10.97 ((v111(constB107) | v116(constB107)) | (~v111(constB107))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17136,plain,
% 15.78/10.97 (v111(constB107) | v116(constB107)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17135, 17134])).
% 15.78/10.97 tff(17137,plain,
% 15.78/10.97 ((~(v110(constB107) <=> (v111(constB107) | v116(constB107)))) | v110(constB107) | (~(v111(constB107) | v116(constB107)))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17138,plain,
% 15.78/10.97 (v110(constB107)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17137, 17136, 17122])).
% 15.78/10.97 tff(17139,plain,
% 15.78/10.97 ((v110(constB107) | v117(constB107)) | (~v110(constB107))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17140,plain,
% 15.78/10.97 (v110(constB107) | v117(constB107)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17139, 17138])).
% 15.78/10.97 tff(17141,plain,
% 15.78/10.97 ((~(v109(constB107) <=> (v110(constB107) | v117(constB107)))) | v109(constB107) | (~(v110(constB107) | v117(constB107)))),
% 15.78/10.97 inference(tautology,[status(thm)],[])).
% 15.78/10.97 tff(17142,plain,
% 15.78/10.97 (v109(constB107)),
% 15.78/10.97 inference(unit_resolution,[status(thm)],[17141, 17140, 17120])).
% 15.78/10.98 tff(17143,plain,
% 15.78/10.98 ((v109(constB107) | v118(constB107)) | (~v109(constB107))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17144,plain,
% 15.78/10.98 (v109(constB107) | v118(constB107)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17143, 17142])).
% 15.78/10.98 tff(17145,plain,
% 15.78/10.98 ((~(v108(constB107) <=> (v109(constB107) | v118(constB107)))) | v108(constB107) | (~(v109(constB107) | v118(constB107)))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17146,plain,
% 15.78/10.98 (v108(constB107)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17145, 17144, 17118])).
% 15.78/10.98 tff(17147,plain,
% 15.78/10.98 ((v108(constB107) | v119(constB107)) | (~v108(constB107))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17148,plain,
% 15.78/10.98 (v108(constB107) | v119(constB107)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17147, 17146])).
% 15.78/10.98 tff(17149,plain,
% 15.78/10.98 ((~(v107(constB107) <=> (v108(constB107) | v119(constB107)))) | v107(constB107) | (~(v108(constB107) | v119(constB107)))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17150,plain,
% 15.78/10.98 (v107(constB107)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17149, 17148, 17116])).
% 15.78/10.98 tff(17151,plain,
% 15.78/10.98 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB107)) <=> v105(constB107))),
% 15.78/10.98 inference(quant_inst,[status(thm)],[])).
% 15.78/10.98 tff(17152,plain,
% 15.78/10.98 ((~v120(constB107)) <=> v105(constB107)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17151, 2484])).
% 15.78/10.98 tff(17153,plain,
% 15.78/10.98 ((~((~v120(constB107)) <=> v105(constB107))) | v120(constB107) | v105(constB107)),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17154,plain,
% 15.78/10.98 ((~((~v120(constB107)) <=> v105(constB107))) | v120(constB107)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17153, 16379])).
% 15.78/10.98 tff(17155,plain,
% 15.78/10.98 (v120(constB107)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17154, 17152])).
% 15.78/10.98 tff(17156,plain,
% 15.78/10.98 ((~((~v107(constB107)) | (~v120(constB107)))) | (~v107(constB107)) | (~v120(constB107))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17157,plain,
% 15.78/10.98 ((~((~v107(constB107)) | (~v120(constB107)))) | (~v107(constB107))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17156, 17155])).
% 15.78/10.98 tff(17158,plain,
% 15.78/10.98 (~((~v107(constB107)) | (~v120(constB107)))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17157, 17150])).
% 15.78/10.98 tff(17159,plain,
% 15.78/10.98 ((~(v106(constB107) <=> (~((~v107(constB107)) | (~v120(constB107)))))) | v106(constB107) | ((~v107(constB107)) | (~v120(constB107)))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17160,plain,
% 15.78/10.98 (v106(constB107)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17159, 17158, 17114])).
% 15.78/10.98 tff(17161,plain,
% 15.78/10.98 ((v105(constB107) | v106(constB107)) | (~v106(constB107))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17162,plain,
% 15.78/10.98 (v105(constB107) | v106(constB107)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17161, 17160])).
% 15.78/10.98 tff(17163,plain,
% 15.78/10.98 ((~(v102(constB107) <=> (v105(constB107) | v106(constB107)))) | v102(constB107) | (~(v105(constB107) | v106(constB107)))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17164,plain,
% 15.78/10.98 (v102(constB107)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17163, 17162, 17112])).
% 15.78/10.98 tff(17165,plain,
% 15.78/10.98 ((~(v104(constB108) <=> v102(constB107))) | v104(constB108) | (~v102(constB107))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17166,plain,
% 15.78/10.98 (v104(constB108)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17165, 17164, 17110])).
% 15.78/10.98 tff(17167,plain,
% 15.78/10.98 ((~((~v95(constB108)) | (~v104(constB108)))) | (~v95(constB108)) | (~v104(constB108))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17168,plain,
% 15.78/10.98 (~((~v95(constB108)) | (~v104(constB108)))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17167, 17166, 17106])).
% 15.78/10.98 tff(17169,plain,
% 15.78/10.98 ((~(v94(constB108) <=> (~((~v95(constB108)) | (~v104(constB108)))))) | v94(constB108) | ((~v95(constB108)) | (~v104(constB108)))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17170,plain,
% 15.78/10.98 (v94(constB108)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17169, 17168, 17078])).
% 15.78/10.98 tff(17171,plain,
% 15.78/10.98 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB108)) | (~(((~v84(constB108, 2)) <=> v123(constB108, 2)) | ((~v84(constB108, 1)) <=> v123(constB108, 1)) | ((~v84(constB108, 0)) <=> v123(constB108, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB108)) | (~(((~v84(constB108, 2)) <=> v123(constB108, 2)) | ((~v84(constB108, 1)) <=> v123(constB108, 1)) | ((~v84(constB108, 0)) <=> v123(constB108, 0)))))),
% 15.78/10.98 inference(rewrite,[status(thm)],[])).
% 15.78/10.98 tff(17172,plain,
% 15.78/10.98 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB108)) | (~(((~v84(constB108, 2)) <=> v123(constB108, 2)) | ((~v84(constB108, 1)) <=> v123(constB108, 1)) | ((~v84(constB108, 0)) <=> v123(constB108, 0)))))),
% 15.78/10.98 inference(quant_inst,[status(thm)],[])).
% 15.78/10.98 tff(17173,plain,
% 15.78/10.98 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB108)) | (~(((~v84(constB108, 2)) <=> v123(constB108, 2)) | ((~v84(constB108, 1)) <=> v123(constB108, 1)) | ((~v84(constB108, 0)) <=> v123(constB108, 0))))),
% 15.78/10.98 inference(modus_ponens,[status(thm)],[17172, 17171])).
% 15.78/10.98 tff(17174,plain,
% 15.78/10.98 ((~v94(constB108)) | (~(((~v84(constB108, 2)) <=> v123(constB108, 2)) | ((~v84(constB108, 1)) <=> v123(constB108, 1)) | ((~v84(constB108, 0)) <=> v123(constB108, 0))))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17173, 2517])).
% 15.78/10.98 tff(17175,plain,
% 15.78/10.98 (~(((~v84(constB108, 2)) <=> v123(constB108, 2)) | ((~v84(constB108, 1)) <=> v123(constB108, 1)) | ((~v84(constB108, 0)) <=> v123(constB108, 0)))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17174, 17170])).
% 15.78/10.98 tff(17176,plain,
% 15.78/10.98 ((((~v84(constB108, 2)) <=> v123(constB108, 2)) | ((~v84(constB108, 1)) <=> v123(constB108, 1)) | ((~v84(constB108, 0)) <=> v123(constB108, 0))) | (~((~v84(constB108, 2)) <=> v123(constB108, 2)))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17177,plain,
% 15.78/10.98 (~((~v84(constB108, 2)) <=> v123(constB108, 2))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17176, 17175])).
% 15.78/10.98 tff(17178,plain,
% 15.78/10.98 (((~v84(constB108, 2)) <=> v123(constB108, 2)) | (~v84(constB108, 2)) | v123(constB108, 2)),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17179,plain,
% 15.78/10.98 (~v84(constB108, 2)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17178, 17177, 17074])).
% 15.78/10.98 tff(17180,plain,
% 15.78/10.98 (((~v84(constB109, 2)) <=> v84(constB108, 2)) | (~v84(constB109, 2)) | v84(constB108, 2)),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17181,plain,
% 15.78/10.98 (~v84(constB109, 2)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17180, 17179, 16363])).
% 15.78/10.98 tff(17182,plain,
% 15.78/10.98 ((((~v84(constB109, 1)) <=> v84(constB108, 1)) | ((~v84(constB109, 2)) <=> v84(constB108, 2)) | ((~v84(constB109, 0)) <=> v84(constB108, 0))) | (~((~v84(constB109, 0)) <=> v84(constB108, 0)))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17183,plain,
% 15.78/10.98 (~((~v84(constB109, 0)) <=> v84(constB108, 0))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17182, 16361])).
% 15.78/10.98 tff(17184,plain,
% 15.78/10.98 ((((~v123(constB108, 2)) <=> v121(constB107, 2)) | ((~v123(constB108, 1)) <=> v121(constB107, 1)) | ((~v123(constB108, 0)) <=> v121(constB107, 0))) | (~((~v123(constB108, 0)) <=> v121(constB107, 0)))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17185,plain,
% 15.78/10.98 (~((~v123(constB108, 0)) <=> v121(constB107, 0))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17184, 16370])).
% 15.78/10.98 tff(17186,plain,
% 15.78/10.98 ((((~v121(constB107, 2)) <=> v124(constB107, 2)) | ((~v121(constB107, 0)) <=> v124(constB107, 0)) | ((~v121(constB107, 1)) <=> v124(constB107, 1))) | (~((~v121(constB107, 0)) <=> v124(constB107, 0)))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17187,plain,
% 15.78/10.98 (~((~v121(constB107, 0)) <=> v124(constB107, 0))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17186, 16384])).
% 15.78/10.98 tff(17188,plain,
% 15.78/10.98 ((v124(constB107, 2) | v124(constB107, 0) | (~v124(constB107, 1))) | (~v124(constB107, 0))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17189,plain,
% 15.78/10.98 (~v124(constB107, 0)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17188, 17068])).
% 15.78/10.98 tff(17190,plain,
% 15.78/10.98 (((~v121(constB107, 0)) <=> v124(constB107, 0)) | (~v121(constB107, 0)) | v124(constB107, 0)),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17191,plain,
% 15.78/10.98 (~v121(constB107, 0)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17190, 17189, 17187])).
% 15.78/10.98 tff(17192,plain,
% 15.78/10.98 (((~v123(constB108, 0)) <=> v121(constB107, 0)) | (~v123(constB108, 0)) | v121(constB107, 0)),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17193,plain,
% 15.78/10.98 (~v123(constB108, 0)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17192, 17191, 17185])).
% 15.78/10.98 tff(17194,plain,
% 15.78/10.98 ((((~v84(constB108, 2)) <=> v123(constB108, 2)) | ((~v84(constB108, 1)) <=> v123(constB108, 1)) | ((~v84(constB108, 0)) <=> v123(constB108, 0))) | (~((~v84(constB108, 0)) <=> v123(constB108, 0)))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17195,plain,
% 15.78/10.98 (~((~v84(constB108, 0)) <=> v123(constB108, 0))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17194, 17175])).
% 15.78/10.98 tff(17196,plain,
% 15.78/10.98 (((~v84(constB108, 0)) <=> v123(constB108, 0)) | (~v84(constB108, 0)) | v123(constB108, 0)),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17197,plain,
% 15.78/10.98 (~v84(constB108, 0)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17196, 17195, 17193])).
% 15.78/10.98 tff(17198,plain,
% 15.78/10.98 (((~v84(constB109, 0)) <=> v84(constB108, 0)) | (~v84(constB109, 0)) | v84(constB108, 0)),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17199,plain,
% 15.78/10.98 (~v84(constB109, 0)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17198, 17197, 17183])).
% 15.78/10.98 tff(17200,plain,
% 15.78/10.98 ((((~v84(constB109, 1)) <=> v84(constB108, 1)) | ((~v84(constB109, 2)) <=> v84(constB108, 2)) | ((~v84(constB109, 0)) <=> v84(constB108, 0))) | (~((~v84(constB109, 1)) <=> v84(constB108, 1)))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17201,plain,
% 15.78/10.98 (~((~v84(constB109, 1)) <=> v84(constB108, 1))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17200, 16361])).
% 15.78/10.98 tff(17202,plain,
% 15.78/10.98 ((((~v123(constB108, 2)) <=> v121(constB107, 2)) | ((~v123(constB108, 1)) <=> v121(constB107, 1)) | ((~v123(constB108, 0)) <=> v121(constB107, 0))) | (~((~v123(constB108, 1)) <=> v121(constB107, 1)))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17203,plain,
% 15.78/10.98 (~((~v123(constB108, 1)) <=> v121(constB107, 1))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17202, 16370])).
% 15.78/10.98 tff(17204,plain,
% 15.78/10.98 ((((~v121(constB107, 2)) <=> v124(constB107, 2)) | ((~v121(constB107, 0)) <=> v124(constB107, 0)) | ((~v121(constB107, 1)) <=> v124(constB107, 1))) | (~((~v121(constB107, 1)) <=> v124(constB107, 1)))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17205,plain,
% 15.78/10.98 (~((~v121(constB107, 1)) <=> v124(constB107, 1))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17204, 16384])).
% 15.78/10.98 tff(17206,plain,
% 15.78/10.98 ((v124(constB107, 2) | v124(constB107, 0) | (~v124(constB107, 1))) | v124(constB107, 1)),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17207,plain,
% 15.78/10.98 (v124(constB107, 1)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17206, 17068])).
% 15.78/10.98 tff(17208,plain,
% 15.78/10.98 (((~v121(constB107, 1)) <=> v124(constB107, 1)) | v121(constB107, 1) | (~v124(constB107, 1))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17209,plain,
% 15.78/10.98 (v121(constB107, 1)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17208, 17207, 17205])).
% 15.78/10.98 tff(17210,plain,
% 15.78/10.98 (((~v123(constB108, 1)) <=> v121(constB107, 1)) | v123(constB108, 1) | (~v121(constB107, 1))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17211,plain,
% 15.78/10.98 (v123(constB108, 1)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17210, 17209, 17203])).
% 15.78/10.98 tff(17212,plain,
% 15.78/10.98 ((((~v84(constB108, 2)) <=> v123(constB108, 2)) | ((~v84(constB108, 1)) <=> v123(constB108, 1)) | ((~v84(constB108, 0)) <=> v123(constB108, 0))) | (~((~v84(constB108, 1)) <=> v123(constB108, 1)))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17213,plain,
% 15.78/10.98 (~((~v84(constB108, 1)) <=> v123(constB108, 1))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17212, 17175])).
% 15.78/10.98 tff(17214,plain,
% 15.78/10.98 (((~v84(constB108, 1)) <=> v123(constB108, 1)) | v84(constB108, 1) | (~v123(constB108, 1))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17215,plain,
% 15.78/10.98 (v84(constB108, 1)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17214, 17213, 17211])).
% 15.78/10.98 tff(17216,plain,
% 15.78/10.98 (((~v84(constB109, 1)) <=> v84(constB108, 1)) | v84(constB109, 1) | (~v84(constB108, 1))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17217,plain,
% 15.78/10.98 (v84(constB109, 1)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17216, 17215, 17201])).
% 15.78/10.98 tff(17218,plain,
% 15.78/10.98 ((~(v84(constB109, 2) | v84(constB109, 0) | (~v84(constB109, 1)))) | v84(constB109, 2) | v84(constB109, 0) | (~v84(constB109, 1))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17219,plain,
% 15.78/10.98 (~(v84(constB109, 2) | v84(constB109, 0) | (~v84(constB109, 1)))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17218, 17217, 17199, 17181])).
% 15.78/10.98 tff(17220,plain,
% 15.78/10.98 ((~(v115(constB109) <=> (~(v84(constB109, 2) | v84(constB109, 0) | (~v84(constB109, 1)))))) | v115(constB109) | (v84(constB109, 2) | v84(constB109, 0) | (~v84(constB109, 1)))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17221,plain,
% 15.78/10.98 (v115(constB109)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17220, 17219, 16327])).
% 15.78/10.98 tff(17222,plain,
% 15.78/10.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB109)) | (~(v124(constB109, 2) | (~v124(constB109, 0)) | (~v124(constB109, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB109)) | (~(v124(constB109, 2) | (~v124(constB109, 0)) | (~v124(constB109, 1)))))),
% 15.78/10.98 inference(rewrite,[status(thm)],[])).
% 15.78/10.98 tff(17223,plain,
% 15.78/10.98 (((~v115(constB109)) | (~(v124(constB109, 2) | (~v124(constB109, 1)) | (~v124(constB109, 0))))) <=> ((~v115(constB109)) | (~(v124(constB109, 2) | (~v124(constB109, 0)) | (~v124(constB109, 1)))))),
% 15.78/10.98 inference(rewrite,[status(thm)],[])).
% 15.78/10.98 tff(17224,plain,
% 15.78/10.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB109)) | (~(v124(constB109, 2) | (~v124(constB109, 1)) | (~v124(constB109, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB109)) | (~(v124(constB109, 2) | (~v124(constB109, 0)) | (~v124(constB109, 1))))))),
% 15.78/10.98 inference(monotonicity,[status(thm)],[17223])).
% 15.78/10.98 tff(17225,plain,
% 15.78/10.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB109)) | (~(v124(constB109, 2) | (~v124(constB109, 1)) | (~v124(constB109, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB109)) | (~(v124(constB109, 2) | (~v124(constB109, 0)) | (~v124(constB109, 1)))))),
% 15.78/10.98 inference(transitivity,[status(thm)],[17224, 17222])).
% 15.78/10.98 tff(17226,plain,
% 15.78/10.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB109)) | (~(v124(constB109, 2) | (~v124(constB109, 1)) | (~v124(constB109, 0)))))),
% 15.78/10.98 inference(quant_inst,[status(thm)],[])).
% 15.78/10.98 tff(17227,plain,
% 15.78/10.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB109)) | (~(v124(constB109, 2) | (~v124(constB109, 0)) | (~v124(constB109, 1))))),
% 15.78/10.98 inference(modus_ponens,[status(thm)],[17226, 17225])).
% 15.78/10.98 tff(17228,plain,
% 15.78/10.98 ((~v115(constB109)) | (~(v124(constB109, 2) | (~v124(constB109, 0)) | (~v124(constB109, 1))))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17227, 3138])).
% 15.78/10.98 tff(17229,plain,
% 15.78/10.98 (~(v124(constB109, 2) | (~v124(constB109, 0)) | (~v124(constB109, 1)))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17228, 17221])).
% 15.78/10.98 tff(17230,plain,
% 15.78/10.98 ((v124(constB109, 2) | (~v124(constB109, 0)) | (~v124(constB109, 1))) | (~v124(constB109, 2))),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17231,plain,
% 15.78/10.98 (~v124(constB109, 2)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17230, 17229])).
% 15.78/10.98 tff(17232,plain,
% 15.78/10.98 (((~v121(constB109, 2)) <=> v124(constB109, 2)) | (~v121(constB109, 2)) | v124(constB109, 2)),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17233,plain,
% 15.78/10.98 (~v121(constB109, 2)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17232, 17231, 16320])).
% 15.78/10.98 tff(17234,plain,
% 15.78/10.98 (((~v123(constB110, 2)) <=> v121(constB109, 2)) | (~v123(constB110, 2)) | v121(constB109, 2)),
% 15.78/10.98 inference(tautology,[status(thm)],[])).
% 15.78/10.98 tff(17235,plain,
% 15.78/10.98 (~v123(constB110, 2)),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17234, 17233, 16306])).
% 15.78/10.98 tff(17236,plain,
% 15.78/10.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB109, constB110)) | (v94(constB110) <=> (~((~v95(constB110)) | (~v104(constB110))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB109, constB110)) | (v94(constB110) <=> (~((~v95(constB110)) | (~v104(constB110))))))),
% 15.78/10.98 inference(rewrite,[status(thm)],[])).
% 15.78/10.98 tff(17237,plain,
% 15.78/10.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB109, constB110)) | (v94(constB110) <=> (~((~v95(constB110)) | (~v104(constB110))))))),
% 15.78/10.98 inference(quant_inst,[status(thm)],[])).
% 15.78/10.98 tff(17238,plain,
% 15.78/10.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB109, constB110)) | (v94(constB110) <=> (~((~v95(constB110)) | (~v104(constB110)))))),
% 15.78/10.98 inference(modus_ponens,[status(thm)],[17237, 17236])).
% 15.78/10.98 tff(17239,plain,
% 15.78/10.98 (v94(constB110) <=> (~((~v95(constB110)) | (~v104(constB110))))),
% 15.78/10.98 inference(unit_resolution,[status(thm)],[17238, 16300, 770])).
% 15.78/10.98 tff(17240,plain,
% 15.78/10.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110))))))),
% 15.78/10.98 inference(rewrite,[status(thm)],[])).
% 15.78/10.98 tff(17241,plain,
% 15.78/10.98 (((~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v96(constB110)) | (~v1(constB110)))))) <=> ((~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110))))))),
% 15.78/10.98 inference(rewrite,[status(thm)],[])).
% 15.78/10.98 tff(17242,plain,
% 15.78/10.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v96(constB110)) | (~v1(constB110))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110)))))))),
% 15.78/10.98 inference(monotonicity,[status(thm)],[17241])).
% 15.78/10.98 tff(17243,plain,
% 15.78/10.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v96(constB110)) | (~v1(constB110))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110))))))),
% 15.78/10.98 inference(transitivity,[status(thm)],[17242, 17240])).
% 15.78/10.98 tff(17244,plain,
% 15.78/10.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v96(constB110)) | (~v1(constB110))))))),
% 15.78/10.99 inference(quant_inst,[status(thm)],[])).
% 15.78/10.99 tff(17245,plain,
% 15.78/10.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110)))))),
% 15.78/10.99 inference(modus_ponens,[status(thm)],[17244, 17243])).
% 15.78/10.99 tff(17246,plain,
% 15.78/10.99 (v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110))))),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17245, 16300, 790])).
% 15.78/10.99 tff(17247,plain,
% 15.78/10.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB109, constB110)) | ((~v96(constB110)) <=> v98(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB109, constB110)) | ((~v96(constB110)) <=> v98(constB110)))),
% 15.78/10.99 inference(rewrite,[status(thm)],[])).
% 15.78/10.99 tff(17248,plain,
% 15.78/10.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB109, constB110)) | ((~v96(constB110)) <=> v98(constB110)))),
% 15.78/10.99 inference(quant_inst,[status(thm)],[])).
% 15.78/10.99 tff(17249,plain,
% 15.78/10.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB109, constB110)) | ((~v96(constB110)) <=> v98(constB110))),
% 15.78/10.99 inference(modus_ponens,[status(thm)],[17248, 17247])).
% 15.78/10.99 tff(17250,plain,
% 15.78/10.99 ((~v96(constB110)) <=> v98(constB110)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17249, 16300, 2332])).
% 15.78/10.99 tff(17251,plain,
% 15.78/10.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB109, constB110)) | (v98(constB110) <=> v1(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB109, constB110)) | (v98(constB110) <=> v1(constB109)))),
% 15.78/10.99 inference(rewrite,[status(thm)],[])).
% 15.78/10.99 tff(17252,plain,
% 15.78/10.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB109, constB110)) | (v98(constB110) <=> v1(constB109)))),
% 15.78/10.99 inference(quant_inst,[status(thm)],[])).
% 15.78/10.99 tff(17253,plain,
% 15.78/10.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB109, constB110)) | (v98(constB110) <=> v1(constB109))),
% 15.78/10.99 inference(modus_ponens,[status(thm)],[17252, 17251])).
% 15.78/10.99 tff(17254,plain,
% 15.78/10.99 (v98(constB110) <=> v1(constB109)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17253, 16300, 2346])).
% 15.78/10.99 tff(17255,plain,
% 15.78/10.99 ((~(v98(constB110) <=> v1(constB109))) | (~v98(constB110)) | v1(constB109)),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17256,plain,
% 15.78/10.99 ((~(v98(constB110) <=> v1(constB109))) | (~v98(constB110))),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17255, 16344])).
% 15.78/10.99 tff(17257,plain,
% 15.78/10.99 (~v98(constB110)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17256, 17254])).
% 15.78/10.99 tff(17258,plain,
% 15.78/10.99 ((~((~v96(constB110)) <=> v98(constB110))) | v96(constB110) | v98(constB110)),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17259,plain,
% 15.78/10.99 (v96(constB110)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17258, 17257, 17250])).
% 15.78/10.99 tff(17260,plain,
% 15.78/10.99 (v1(constB110) <=> v1(constB110)),
% 15.78/10.99 inference(rewrite,[status(thm)],[])).
% 15.78/10.99 tff(17261,axiom,(v1(constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_110')).
% 15.78/10.99 tff(17262,plain,
% 15.78/10.99 (v1(constB110)),
% 15.78/10.99 inference(modus_ponens,[status(thm)],[17261, 17260])).
% 15.78/10.99 tff(17263,plain,
% 15.78/10.99 ((~((~v1(constB110)) | (~v96(constB110)))) | (~v1(constB110)) | (~v96(constB110))),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17264,plain,
% 15.78/10.99 ((~((~v1(constB110)) | (~v96(constB110)))) | (~v96(constB110))),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17263, 17262])).
% 15.78/10.99 tff(17265,plain,
% 15.78/10.99 (~((~v1(constB110)) | (~v96(constB110)))),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17264, 17259])).
% 15.78/10.99 tff(17266,plain,
% 15.78/10.99 ((~(v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110)))))) | v95(constB110) | ((~v1(constB110)) | (~v96(constB110)))),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17267,plain,
% 15.78/10.99 (v95(constB110)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17266, 17265, 17246])).
% 15.78/10.99 tff(17268,plain,
% 15.78/10.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB109, constB110)) | (v104(constB110) <=> v102(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB109, constB110)) | (v104(constB110) <=> v102(constB109)))),
% 15.78/10.99 inference(rewrite,[status(thm)],[])).
% 15.78/10.99 tff(17269,plain,
% 15.78/10.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB109, constB110)) | (v104(constB110) <=> v102(constB109)))),
% 15.78/10.99 inference(quant_inst,[status(thm)],[])).
% 15.78/10.99 tff(17270,plain,
% 15.78/10.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB109, constB110)) | (v104(constB110) <=> v102(constB109))),
% 15.78/10.99 inference(modus_ponens,[status(thm)],[17269, 17268])).
% 15.78/10.99 tff(17271,plain,
% 15.78/10.99 (v104(constB110) <=> v102(constB109)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17270, 16300, 2373])).
% 15.78/10.99 tff(17272,plain,
% 15.78/10.99 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB109) <=> (v105(constB109) | v106(constB109)))),
% 15.78/10.99 inference(quant_inst,[status(thm)],[])).
% 15.78/10.99 tff(17273,plain,
% 15.78/10.99 (v102(constB109) <=> (v105(constB109) | v106(constB109))),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17272, 2384])).
% 15.78/10.99 tff(17274,plain,
% 15.78/10.99 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB109) <=> (~((~v107(constB109)) | (~v120(constB109)))))),
% 15.78/10.99 inference(quant_inst,[status(thm)],[])).
% 15.78/10.99 tff(17275,plain,
% 15.78/10.99 (v106(constB109) <=> (~((~v107(constB109)) | (~v120(constB109))))),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17274, 2396])).
% 15.78/10.99 tff(17276,plain,
% 15.78/10.99 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB109) <=> (v108(constB109) | v119(constB109)))),
% 15.78/10.99 inference(quant_inst,[status(thm)],[])).
% 15.78/10.99 tff(17277,plain,
% 15.78/10.99 (v107(constB109) <=> (v108(constB109) | v119(constB109))),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17276, 2405])).
% 15.78/10.99 tff(17278,plain,
% 15.78/10.99 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB109) <=> (v109(constB109) | v118(constB109)))),
% 15.78/10.99 inference(quant_inst,[status(thm)],[])).
% 15.78/10.99 tff(17279,plain,
% 15.78/10.99 (v108(constB109) <=> (v109(constB109) | v118(constB109))),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17278, 2414])).
% 15.78/10.99 tff(17280,plain,
% 15.78/10.99 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB109) <=> (v110(constB109) | v117(constB109)))),
% 15.78/10.99 inference(quant_inst,[status(thm)],[])).
% 15.78/10.99 tff(17281,plain,
% 15.78/10.99 (v109(constB109) <=> (v110(constB109) | v117(constB109))),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17280, 2423])).
% 15.78/10.99 tff(17282,plain,
% 15.78/10.99 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB109) <=> (v111(constB109) | v116(constB109)))),
% 15.78/10.99 inference(quant_inst,[status(thm)],[])).
% 15.78/10.99 tff(17283,plain,
% 15.78/10.99 (v110(constB109) <=> (v111(constB109) | v116(constB109))),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17282, 2432])).
% 15.78/10.99 tff(17284,plain,
% 15.78/10.99 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB109) <=> (v112(constB109) | v115(constB109)))),
% 15.78/10.99 inference(quant_inst,[status(thm)],[])).
% 15.78/10.99 tff(17285,plain,
% 15.78/10.99 (v111(constB109) <=> (v112(constB109) | v115(constB109))),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17284, 2441])).
% 15.78/10.99 tff(17286,plain,
% 15.78/10.99 ((v112(constB109) | v115(constB109)) | (~v115(constB109))),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17287,plain,
% 15.78/10.99 (v112(constB109) | v115(constB109)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17286, 17221])).
% 15.78/10.99 tff(17288,plain,
% 15.78/10.99 ((~(v111(constB109) <=> (v112(constB109) | v115(constB109)))) | v111(constB109) | (~(v112(constB109) | v115(constB109)))),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17289,plain,
% 15.78/10.99 (v111(constB109)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17288, 17287, 17285])).
% 15.78/10.99 tff(17290,plain,
% 15.78/10.99 ((v111(constB109) | v116(constB109)) | (~v111(constB109))),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17291,plain,
% 15.78/10.99 (v111(constB109) | v116(constB109)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17290, 17289])).
% 15.78/10.99 tff(17292,plain,
% 15.78/10.99 ((~(v110(constB109) <=> (v111(constB109) | v116(constB109)))) | v110(constB109) | (~(v111(constB109) | v116(constB109)))),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17293,plain,
% 15.78/10.99 (v110(constB109)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17292, 17291, 17283])).
% 15.78/10.99 tff(17294,plain,
% 15.78/10.99 ((v110(constB109) | v117(constB109)) | (~v110(constB109))),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17295,plain,
% 15.78/10.99 (v110(constB109) | v117(constB109)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17294, 17293])).
% 15.78/10.99 tff(17296,plain,
% 15.78/10.99 ((~(v109(constB109) <=> (v110(constB109) | v117(constB109)))) | v109(constB109) | (~(v110(constB109) | v117(constB109)))),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17297,plain,
% 15.78/10.99 (v109(constB109)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17296, 17295, 17281])).
% 15.78/10.99 tff(17298,plain,
% 15.78/10.99 ((v109(constB109) | v118(constB109)) | (~v109(constB109))),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17299,plain,
% 15.78/10.99 (v109(constB109) | v118(constB109)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17298, 17297])).
% 15.78/10.99 tff(17300,plain,
% 15.78/10.99 ((~(v108(constB109) <=> (v109(constB109) | v118(constB109)))) | v108(constB109) | (~(v109(constB109) | v118(constB109)))),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17301,plain,
% 15.78/10.99 (v108(constB109)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17300, 17299, 17279])).
% 15.78/10.99 tff(17302,plain,
% 15.78/10.99 ((v108(constB109) | v119(constB109)) | (~v108(constB109))),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17303,plain,
% 15.78/10.99 (v108(constB109) | v119(constB109)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17302, 17301])).
% 15.78/10.99 tff(17304,plain,
% 15.78/10.99 ((~(v107(constB109) <=> (v108(constB109) | v119(constB109)))) | v107(constB109) | (~(v108(constB109) | v119(constB109)))),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17305,plain,
% 15.78/10.99 (v107(constB109)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17304, 17303, 17277])).
% 15.78/10.99 tff(17306,plain,
% 15.78/10.99 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB109)) <=> v105(constB109))),
% 15.78/10.99 inference(quant_inst,[status(thm)],[])).
% 15.78/10.99 tff(17307,plain,
% 15.78/10.99 ((~v120(constB109)) <=> v105(constB109)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17306, 2484])).
% 15.78/10.99 tff(17308,plain,
% 15.78/10.99 ((~((~v120(constB109)) <=> v105(constB109))) | v120(constB109) | v105(constB109)),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17309,plain,
% 15.78/10.99 ((~((~v120(constB109)) <=> v105(constB109))) | v120(constB109)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17308, 16313])).
% 15.78/10.99 tff(17310,plain,
% 15.78/10.99 (v120(constB109)),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17309, 17307])).
% 15.78/10.99 tff(17311,plain,
% 15.78/10.99 ((~((~v107(constB109)) | (~v120(constB109)))) | (~v107(constB109)) | (~v120(constB109))),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.78/10.99 tff(17312,plain,
% 15.78/10.99 ((~((~v107(constB109)) | (~v120(constB109)))) | (~v107(constB109))),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17311, 17310])).
% 15.78/10.99 tff(17313,plain,
% 15.78/10.99 (~((~v107(constB109)) | (~v120(constB109)))),
% 15.78/10.99 inference(unit_resolution,[status(thm)],[17312, 17305])).
% 15.78/10.99 tff(17314,plain,
% 15.78/10.99 ((~(v106(constB109) <=> (~((~v107(constB109)) | (~v120(constB109)))))) | v106(constB109) | ((~v107(constB109)) | (~v120(constB109)))),
% 15.78/10.99 inference(tautology,[status(thm)],[])).
% 15.86/10.99 tff(17315,plain,
% 15.86/10.99 (v106(constB109)),
% 15.86/10.99 inference(unit_resolution,[status(thm)],[17314, 17313, 17275])).
% 15.86/10.99 tff(17316,plain,
% 15.86/10.99 ((v105(constB109) | v106(constB109)) | (~v106(constB109))),
% 15.86/10.99 inference(tautology,[status(thm)],[])).
% 15.86/10.99 tff(17317,plain,
% 15.86/10.99 (v105(constB109) | v106(constB109)),
% 15.86/10.99 inference(unit_resolution,[status(thm)],[17316, 17315])).
% 15.86/10.99 tff(17318,plain,
% 15.86/10.99 ((~(v102(constB109) <=> (v105(constB109) | v106(constB109)))) | v102(constB109) | (~(v105(constB109) | v106(constB109)))),
% 15.86/10.99 inference(tautology,[status(thm)],[])).
% 15.86/10.99 tff(17319,plain,
% 15.86/10.99 (v102(constB109)),
% 15.86/10.99 inference(unit_resolution,[status(thm)],[17318, 17317, 17273])).
% 15.86/10.99 tff(17320,plain,
% 15.86/10.99 ((~(v104(constB110) <=> v102(constB109))) | v104(constB110) | (~v102(constB109))),
% 15.86/10.99 inference(tautology,[status(thm)],[])).
% 15.86/10.99 tff(17321,plain,
% 15.86/10.99 (v104(constB110)),
% 15.86/10.99 inference(unit_resolution,[status(thm)],[17320, 17319, 17271])).
% 15.86/10.99 tff(17322,plain,
% 15.86/10.99 ((~((~v95(constB110)) | (~v104(constB110)))) | (~v95(constB110)) | (~v104(constB110))),
% 15.86/10.99 inference(tautology,[status(thm)],[])).
% 15.86/10.99 tff(17323,plain,
% 15.86/10.99 (~((~v95(constB110)) | (~v104(constB110)))),
% 15.86/10.99 inference(unit_resolution,[status(thm)],[17322, 17321, 17267])).
% 15.86/10.99 tff(17324,plain,
% 15.86/10.99 ((~(v94(constB110) <=> (~((~v95(constB110)) | (~v104(constB110)))))) | v94(constB110) | ((~v95(constB110)) | (~v104(constB110)))),
% 15.86/10.99 inference(tautology,[status(thm)],[])).
% 15.86/10.99 tff(17325,plain,
% 15.86/10.99 (v94(constB110)),
% 15.86/10.99 inference(unit_resolution,[status(thm)],[17324, 17323, 17239])).
% 15.86/10.99 tff(17326,plain,
% 15.86/10.99 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB110)) | (~(((~v84(constB110, 0)) <=> v123(constB110, 0)) | ((~v84(constB110, 2)) <=> v123(constB110, 2)) | ((~v84(constB110, 1)) <=> v123(constB110, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB110)) | (~(((~v84(constB110, 0)) <=> v123(constB110, 0)) | ((~v84(constB110, 2)) <=> v123(constB110, 2)) | ((~v84(constB110, 1)) <=> v123(constB110, 1)))))),
% 15.86/10.99 inference(rewrite,[status(thm)],[])).
% 15.86/10.99 tff(17327,plain,
% 15.86/10.99 (((~v94(constB110)) | (~(((~v84(constB110, 2)) <=> v123(constB110, 2)) | ((~v84(constB110, 1)) <=> v123(constB110, 1)) | ((~v84(constB110, 0)) <=> v123(constB110, 0))))) <=> ((~v94(constB110)) | (~(((~v84(constB110, 0)) <=> v123(constB110, 0)) | ((~v84(constB110, 2)) <=> v123(constB110, 2)) | ((~v84(constB110, 1)) <=> v123(constB110, 1)))))),
% 15.86/10.99 inference(rewrite,[status(thm)],[])).
% 15.86/10.99 tff(17328,plain,
% 15.86/10.99 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB110)) | (~(((~v84(constB110, 2)) <=> v123(constB110, 2)) | ((~v84(constB110, 1)) <=> v123(constB110, 1)) | ((~v84(constB110, 0)) <=> v123(constB110, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB110)) | (~(((~v84(constB110, 0)) <=> v123(constB110, 0)) | ((~v84(constB110, 2)) <=> v123(constB110, 2)) | ((~v84(constB110, 1)) <=> v123(constB110, 1))))))),
% 15.86/10.99 inference(monotonicity,[status(thm)],[17327])).
% 15.86/10.99 tff(17329,plain,
% 15.86/10.99 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB110)) | (~(((~v84(constB110, 2)) <=> v123(constB110, 2)) | ((~v84(constB110, 1)) <=> v123(constB110, 1)) | ((~v84(constB110, 0)) <=> v123(constB110, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB110)) | (~(((~v84(constB110, 0)) <=> v123(constB110, 0)) | ((~v84(constB110, 2)) <=> v123(constB110, 2)) | ((~v84(constB110, 1)) <=> v123(constB110, 1)))))),
% 15.86/10.99 inference(transitivity,[status(thm)],[17328, 17326])).
% 15.86/10.99 tff(17330,plain,
% 15.86/10.99 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB110)) | (~(((~v84(constB110, 2)) <=> v123(constB110, 2)) | ((~v84(constB110, 1)) <=> v123(constB110, 1)) | ((~v84(constB110, 0)) <=> v123(constB110, 0)))))),
% 15.86/10.99 inference(quant_inst,[status(thm)],[])).
% 15.86/10.99 tff(17331,plain,
% 15.86/10.99 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB110)) | (~(((~v84(constB110, 0)) <=> v123(constB110, 0)) | ((~v84(constB110, 2)) <=> v123(constB110, 2)) | ((~v84(constB110, 1)) <=> v123(constB110, 1))))),
% 15.86/10.99 inference(modus_ponens,[status(thm)],[17330, 17329])).
% 15.86/10.99 tff(17332,plain,
% 15.86/10.99 ((~v94(constB110)) | (~(((~v84(constB110, 0)) <=> v123(constB110, 0)) | ((~v84(constB110, 2)) <=> v123(constB110, 2)) | ((~v84(constB110, 1)) <=> v123(constB110, 1))))),
% 15.86/10.99 inference(unit_resolution,[status(thm)],[17331, 2517])).
% 15.86/10.99 tff(17333,plain,
% 15.86/10.99 (~(((~v84(constB110, 0)) <=> v123(constB110, 0)) | ((~v84(constB110, 2)) <=> v123(constB110, 2)) | ((~v84(constB110, 1)) <=> v123(constB110, 1)))),
% 15.86/10.99 inference(unit_resolution,[status(thm)],[17332, 17325])).
% 15.86/10.99 tff(17334,plain,
% 15.86/10.99 ((((~v84(constB110, 0)) <=> v123(constB110, 0)) | ((~v84(constB110, 2)) <=> v123(constB110, 2)) | ((~v84(constB110, 1)) <=> v123(constB110, 1))) | (~((~v84(constB110, 2)) <=> v123(constB110, 2)))),
% 15.86/10.99 inference(tautology,[status(thm)],[])).
% 15.86/10.99 tff(17335,plain,
% 15.86/10.99 (~((~v84(constB110, 2)) <=> v123(constB110, 2))),
% 15.86/10.99 inference(unit_resolution,[status(thm)],[17334, 17333])).
% 15.86/10.99 tff(17336,plain,
% 15.86/10.99 (((~v84(constB110, 2)) <=> v123(constB110, 2)) | (~v84(constB110, 2)) | v123(constB110, 2)),
% 15.86/10.99 inference(tautology,[status(thm)],[])).
% 15.86/10.99 tff(17337,plain,
% 15.86/10.99 (~v84(constB110, 2)),
% 15.86/10.99 inference(unit_resolution,[status(thm)],[17336, 17335, 17235])).
% 15.86/10.99 tff(17338,plain,
% 15.86/10.99 (((~v84(constB111, 2)) <=> v84(constB110, 2)) | (~v84(constB111, 2)) | v84(constB110, 2)),
% 15.86/10.99 inference(tautology,[status(thm)],[])).
% 15.86/10.99 tff(17339,plain,
% 15.86/10.99 (~v84(constB111, 2)),
% 15.86/10.99 inference(unit_resolution,[status(thm)],[17338, 17337, 16297])).
% 15.86/10.99 tff(17340,plain,
% 15.86/10.99 ((((~v84(constB111, 1)) <=> v84(constB110, 1)) | ((~v84(constB111, 2)) <=> v84(constB110, 2)) | ((~v84(constB111, 0)) <=> v84(constB110, 0))) | (~((~v84(constB111, 0)) <=> v84(constB110, 0)))),
% 15.86/10.99 inference(tautology,[status(thm)],[])).
% 15.86/10.99 tff(17341,plain,
% 15.86/10.99 (~((~v84(constB111, 0)) <=> v84(constB110, 0))),
% 15.86/10.99 inference(unit_resolution,[status(thm)],[17340, 16295])).
% 15.86/10.99 tff(17342,plain,
% 15.86/10.99 ((((~v123(constB110, 2)) <=> v121(constB109, 2)) | ((~v123(constB110, 1)) <=> v121(constB109, 1)) | ((~v123(constB110, 0)) <=> v121(constB109, 0))) | (~((~v123(constB110, 0)) <=> v121(constB109, 0)))),
% 15.86/10.99 inference(tautology,[status(thm)],[])).
% 15.86/10.99 tff(17343,plain,
% 15.86/10.99 (~((~v123(constB110, 0)) <=> v121(constB109, 0))),
% 15.86/10.99 inference(unit_resolution,[status(thm)],[17342, 16304])).
% 15.86/10.99 tff(17344,plain,
% 15.86/10.99 ((((~v121(constB109, 2)) <=> v124(constB109, 2)) | ((~v121(constB109, 0)) <=> v124(constB109, 0)) | ((~v121(constB109, 1)) <=> v124(constB109, 1))) | (~((~v121(constB109, 0)) <=> v124(constB109, 0)))),
% 15.86/10.99 inference(tautology,[status(thm)],[])).
% 15.86/10.99 tff(17345,plain,
% 15.86/10.99 (~((~v121(constB109, 0)) <=> v124(constB109, 0))),
% 15.86/10.99 inference(unit_resolution,[status(thm)],[17344, 16318])).
% 15.86/10.99 tff(17346,plain,
% 15.86/10.99 ((v124(constB109, 2) | (~v124(constB109, 0)) | (~v124(constB109, 1))) | v124(constB109, 0)),
% 15.86/10.99 inference(tautology,[status(thm)],[])).
% 15.86/10.99 tff(17347,plain,
% 15.86/10.99 (v124(constB109, 0)),
% 15.86/10.99 inference(unit_resolution,[status(thm)],[17346, 17229])).
% 15.86/10.99 tff(17348,plain,
% 15.86/10.99 (((~v121(constB109, 0)) <=> v124(constB109, 0)) | v121(constB109, 0) | (~v124(constB109, 0))),
% 15.86/10.99 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17349,plain,
% 15.86/11.00 (v121(constB109, 0)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17348, 17347, 17345])).
% 15.86/11.00 tff(17350,plain,
% 15.86/11.00 (((~v123(constB110, 0)) <=> v121(constB109, 0)) | v123(constB110, 0) | (~v121(constB109, 0))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17351,plain,
% 15.86/11.00 (v123(constB110, 0)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17350, 17349, 17343])).
% 15.86/11.00 tff(17352,plain,
% 15.86/11.00 ((((~v84(constB110, 0)) <=> v123(constB110, 0)) | ((~v84(constB110, 2)) <=> v123(constB110, 2)) | ((~v84(constB110, 1)) <=> v123(constB110, 1))) | (~((~v84(constB110, 0)) <=> v123(constB110, 0)))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17353,plain,
% 15.86/11.00 (~((~v84(constB110, 0)) <=> v123(constB110, 0))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17352, 17333])).
% 15.86/11.00 tff(17354,plain,
% 15.86/11.00 (((~v84(constB110, 0)) <=> v123(constB110, 0)) | v84(constB110, 0) | (~v123(constB110, 0))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17355,plain,
% 15.86/11.00 (v84(constB110, 0)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17354, 17353, 17351])).
% 15.86/11.00 tff(17356,plain,
% 15.86/11.00 (((~v84(constB111, 0)) <=> v84(constB110, 0)) | v84(constB111, 0) | (~v84(constB110, 0))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17357,plain,
% 15.86/11.00 (v84(constB111, 0)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17356, 17355, 17341])).
% 15.86/11.00 tff(17358,plain,
% 15.86/11.00 ((((~v84(constB111, 1)) <=> v84(constB110, 1)) | ((~v84(constB111, 2)) <=> v84(constB110, 2)) | ((~v84(constB111, 0)) <=> v84(constB110, 0))) | (~((~v84(constB111, 1)) <=> v84(constB110, 1)))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17359,plain,
% 15.86/11.00 (~((~v84(constB111, 1)) <=> v84(constB110, 1))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17358, 16295])).
% 15.86/11.00 tff(17360,plain,
% 15.86/11.00 ((((~v123(constB110, 2)) <=> v121(constB109, 2)) | ((~v123(constB110, 1)) <=> v121(constB109, 1)) | ((~v123(constB110, 0)) <=> v121(constB109, 0))) | (~((~v123(constB110, 1)) <=> v121(constB109, 1)))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17361,plain,
% 15.86/11.00 (~((~v123(constB110, 1)) <=> v121(constB109, 1))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17360, 16304])).
% 15.86/11.00 tff(17362,plain,
% 15.86/11.00 ((((~v121(constB109, 2)) <=> v124(constB109, 2)) | ((~v121(constB109, 0)) <=> v124(constB109, 0)) | ((~v121(constB109, 1)) <=> v124(constB109, 1))) | (~((~v121(constB109, 1)) <=> v124(constB109, 1)))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17363,plain,
% 15.86/11.00 (~((~v121(constB109, 1)) <=> v124(constB109, 1))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17362, 16318])).
% 15.86/11.00 tff(17364,plain,
% 15.86/11.00 ((v124(constB109, 2) | (~v124(constB109, 0)) | (~v124(constB109, 1))) | v124(constB109, 1)),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17365,plain,
% 15.86/11.00 (v124(constB109, 1)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17364, 17229])).
% 15.86/11.00 tff(17366,plain,
% 15.86/11.00 (((~v121(constB109, 1)) <=> v124(constB109, 1)) | v121(constB109, 1) | (~v124(constB109, 1))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17367,plain,
% 15.86/11.00 (v121(constB109, 1)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17366, 17365, 17363])).
% 15.86/11.00 tff(17368,plain,
% 15.86/11.00 (((~v123(constB110, 1)) <=> v121(constB109, 1)) | v123(constB110, 1) | (~v121(constB109, 1))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17369,plain,
% 15.86/11.00 (v123(constB110, 1)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17368, 17367, 17361])).
% 15.86/11.00 tff(17370,plain,
% 15.86/11.00 ((((~v84(constB110, 0)) <=> v123(constB110, 0)) | ((~v84(constB110, 2)) <=> v123(constB110, 2)) | ((~v84(constB110, 1)) <=> v123(constB110, 1))) | (~((~v84(constB110, 1)) <=> v123(constB110, 1)))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17371,plain,
% 15.86/11.00 (~((~v84(constB110, 1)) <=> v123(constB110, 1))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17370, 17333])).
% 15.86/11.00 tff(17372,plain,
% 15.86/11.00 (((~v84(constB110, 1)) <=> v123(constB110, 1)) | v84(constB110, 1) | (~v123(constB110, 1))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17373,plain,
% 15.86/11.00 (v84(constB110, 1)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17372, 17371, 17369])).
% 15.86/11.00 tff(17374,plain,
% 15.86/11.00 (((~v84(constB111, 1)) <=> v84(constB110, 1)) | v84(constB111, 1) | (~v84(constB110, 1))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17375,plain,
% 15.86/11.00 (v84(constB111, 1)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17374, 17373, 17359])).
% 15.86/11.00 tff(17376,plain,
% 15.86/11.00 ((~(v84(constB111, 2) | (~v84(constB111, 1)) | (~v84(constB111, 0)))) | v84(constB111, 2) | (~v84(constB111, 1)) | (~v84(constB111, 0))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17377,plain,
% 15.86/11.00 (~(v84(constB111, 2) | (~v84(constB111, 1)) | (~v84(constB111, 0)))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17376, 17375, 17357, 17339])).
% 15.86/11.00 tff(17378,plain,
% 15.86/11.00 ((~(v116(constB111) <=> (~(v84(constB111, 2) | (~v84(constB111, 1)) | (~v84(constB111, 0)))))) | v116(constB111) | (v84(constB111, 2) | (~v84(constB111, 1)) | (~v84(constB111, 0)))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17379,plain,
% 15.86/11.00 (v116(constB111)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17378, 17377, 16261])).
% 15.86/11.00 tff(17380,plain,
% 15.86/11.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB111)) | (~(v124(constB111, 0) | v124(constB111, 1) | (~v124(constB111, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB111)) | (~(v124(constB111, 0) | v124(constB111, 1) | (~v124(constB111, 2)))))),
% 15.86/11.00 inference(rewrite,[status(thm)],[])).
% 15.86/11.00 tff(17381,plain,
% 15.86/11.00 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB111)) | (~(v124(constB111, 0) | v124(constB111, 1) | (~v124(constB111, 2)))))),
% 15.86/11.00 inference(quant_inst,[status(thm)],[])).
% 15.86/11.00 tff(17382,plain,
% 15.86/11.00 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB111)) | (~(v124(constB111, 0) | v124(constB111, 1) | (~v124(constB111, 2))))),
% 15.86/11.00 inference(modus_ponens,[status(thm)],[17381, 17380])).
% 15.86/11.00 tff(17383,plain,
% 15.86/11.00 ((~v116(constB111)) | (~(v124(constB111, 0) | v124(constB111, 1) | (~v124(constB111, 2))))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17382, 3309])).
% 15.86/11.00 tff(17384,plain,
% 15.86/11.00 (~(v124(constB111, 0) | v124(constB111, 1) | (~v124(constB111, 2)))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17383, 17379])).
% 15.86/11.00 tff(17385,plain,
% 15.86/11.00 ((v124(constB111, 0) | v124(constB111, 1) | (~v124(constB111, 2))) | v124(constB111, 2)),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17386,plain,
% 15.86/11.00 (v124(constB111, 2)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17385, 17384])).
% 15.86/11.00 tff(17387,plain,
% 15.86/11.00 (((~v121(constB111, 2)) <=> v124(constB111, 2)) | v121(constB111, 2) | (~v124(constB111, 2))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17388,plain,
% 15.86/11.00 (v121(constB111, 2)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17387, 17386, 16259])).
% 15.86/11.00 tff(17389,plain,
% 15.86/11.00 (((~v123(constB112, 2)) <=> v121(constB111, 2)) | v123(constB112, 2) | (~v121(constB111, 2))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17390,plain,
% 15.86/11.00 (v123(constB112, 2)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17389, 17388, 16245])).
% 15.86/11.00 tff(17391,plain,
% 15.86/11.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB111, constB112)) | (v94(constB112) <=> (~((~v95(constB112)) | (~v104(constB112))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB111, constB112)) | (v94(constB112) <=> (~((~v95(constB112)) | (~v104(constB112))))))),
% 15.86/11.00 inference(rewrite,[status(thm)],[])).
% 15.86/11.00 tff(17392,plain,
% 15.86/11.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB111, constB112)) | (v94(constB112) <=> (~((~v95(constB112)) | (~v104(constB112))))))),
% 15.86/11.00 inference(quant_inst,[status(thm)],[])).
% 15.86/11.00 tff(17393,plain,
% 15.86/11.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB111, constB112)) | (v94(constB112) <=> (~((~v95(constB112)) | (~v104(constB112)))))),
% 15.86/11.00 inference(modus_ponens,[status(thm)],[17392, 17391])).
% 15.86/11.00 tff(17394,plain,
% 15.86/11.00 (v94(constB112) <=> (~((~v95(constB112)) | (~v104(constB112))))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17393, 16239, 770])).
% 15.86/11.00 tff(17395,plain,
% 15.86/11.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112))))))),
% 15.86/11.00 inference(rewrite,[status(thm)],[])).
% 15.86/11.00 tff(17396,plain,
% 15.86/11.00 (((~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v96(constB112)) | (~v1(constB112)))))) <=> ((~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112))))))),
% 15.86/11.00 inference(rewrite,[status(thm)],[])).
% 15.86/11.00 tff(17397,plain,
% 15.86/11.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v96(constB112)) | (~v1(constB112))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112)))))))),
% 15.86/11.00 inference(monotonicity,[status(thm)],[17396])).
% 15.86/11.00 tff(17398,plain,
% 15.86/11.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v96(constB112)) | (~v1(constB112))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112))))))),
% 15.86/11.00 inference(transitivity,[status(thm)],[17397, 17395])).
% 15.86/11.00 tff(17399,plain,
% 15.86/11.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v96(constB112)) | (~v1(constB112))))))),
% 15.86/11.00 inference(quant_inst,[status(thm)],[])).
% 15.86/11.00 tff(17400,plain,
% 15.86/11.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112)))))),
% 15.86/11.00 inference(modus_ponens,[status(thm)],[17399, 17398])).
% 15.86/11.00 tff(17401,plain,
% 15.86/11.00 (v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112))))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17400, 16239, 790])).
% 15.86/11.00 tff(17402,plain,
% 15.86/11.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB111, constB112)) | ((~v96(constB112)) <=> v98(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB111, constB112)) | ((~v96(constB112)) <=> v98(constB112)))),
% 15.86/11.00 inference(rewrite,[status(thm)],[])).
% 15.86/11.00 tff(17403,plain,
% 15.86/11.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB111, constB112)) | ((~v96(constB112)) <=> v98(constB112)))),
% 15.86/11.00 inference(quant_inst,[status(thm)],[])).
% 15.86/11.00 tff(17404,plain,
% 15.86/11.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB111, constB112)) | ((~v96(constB112)) <=> v98(constB112))),
% 15.86/11.00 inference(modus_ponens,[status(thm)],[17403, 17402])).
% 15.86/11.00 tff(17405,plain,
% 15.86/11.00 ((~v96(constB112)) <=> v98(constB112)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17404, 16239, 2332])).
% 15.86/11.00 tff(17406,plain,
% 15.86/11.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB111, constB112)) | (v98(constB112) <=> v1(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB111, constB112)) | (v98(constB112) <=> v1(constB111)))),
% 15.86/11.00 inference(rewrite,[status(thm)],[])).
% 15.86/11.00 tff(17407,plain,
% 15.86/11.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB111, constB112)) | (v98(constB112) <=> v1(constB111)))),
% 15.86/11.00 inference(quant_inst,[status(thm)],[])).
% 15.86/11.00 tff(17408,plain,
% 15.86/11.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB111, constB112)) | (v98(constB112) <=> v1(constB111))),
% 15.86/11.00 inference(modus_ponens,[status(thm)],[17407, 17406])).
% 15.86/11.00 tff(17409,plain,
% 15.86/11.00 (v98(constB112) <=> v1(constB111)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17408, 16239, 2346])).
% 15.86/11.00 tff(17410,plain,
% 15.86/11.00 ((~(v98(constB112) <=> v1(constB111))) | (~v98(constB112)) | v1(constB111)),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17411,plain,
% 15.86/11.00 ((~(v98(constB112) <=> v1(constB111))) | (~v98(constB112))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17410, 16278])).
% 15.86/11.00 tff(17412,plain,
% 15.86/11.00 (~v98(constB112)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17411, 17409])).
% 15.86/11.00 tff(17413,plain,
% 15.86/11.00 ((~((~v96(constB112)) <=> v98(constB112))) | v96(constB112) | v98(constB112)),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17414,plain,
% 15.86/11.00 (v96(constB112)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17413, 17412, 17405])).
% 15.86/11.00 tff(17415,plain,
% 15.86/11.00 (v1(constB112) <=> v1(constB112)),
% 15.86/11.00 inference(rewrite,[status(thm)],[])).
% 15.86/11.00 tff(17416,axiom,(v1(constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_112')).
% 15.86/11.00 tff(17417,plain,
% 15.86/11.00 (v1(constB112)),
% 15.86/11.00 inference(modus_ponens,[status(thm)],[17416, 17415])).
% 15.86/11.00 tff(17418,plain,
% 15.86/11.00 ((~((~v1(constB112)) | (~v96(constB112)))) | (~v1(constB112)) | (~v96(constB112))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17419,plain,
% 15.86/11.00 ((~((~v1(constB112)) | (~v96(constB112)))) | (~v96(constB112))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17418, 17417])).
% 15.86/11.00 tff(17420,plain,
% 15.86/11.00 (~((~v1(constB112)) | (~v96(constB112)))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17419, 17414])).
% 15.86/11.00 tff(17421,plain,
% 15.86/11.00 ((~(v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112)))))) | v95(constB112) | ((~v1(constB112)) | (~v96(constB112)))),
% 15.86/11.00 inference(tautology,[status(thm)],[])).
% 15.86/11.00 tff(17422,plain,
% 15.86/11.00 (v95(constB112)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17421, 17420, 17401])).
% 15.86/11.00 tff(17423,plain,
% 15.86/11.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB111, constB112)) | (v104(constB112) <=> v102(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB111, constB112)) | (v104(constB112) <=> v102(constB111)))),
% 15.86/11.00 inference(rewrite,[status(thm)],[])).
% 15.86/11.00 tff(17424,plain,
% 15.86/11.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB111, constB112)) | (v104(constB112) <=> v102(constB111)))),
% 15.86/11.00 inference(quant_inst,[status(thm)],[])).
% 15.86/11.00 tff(17425,plain,
% 15.86/11.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB111, constB112)) | (v104(constB112) <=> v102(constB111))),
% 15.86/11.00 inference(modus_ponens,[status(thm)],[17424, 17423])).
% 15.86/11.00 tff(17426,plain,
% 15.86/11.00 (v104(constB112) <=> v102(constB111)),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17425, 16239, 2373])).
% 15.86/11.00 tff(17427,plain,
% 15.86/11.00 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB111) <=> (v105(constB111) | v106(constB111)))),
% 15.86/11.00 inference(quant_inst,[status(thm)],[])).
% 15.86/11.00 tff(17428,plain,
% 15.86/11.00 (v102(constB111) <=> (v105(constB111) | v106(constB111))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17427, 2384])).
% 15.86/11.00 tff(17429,plain,
% 15.86/11.00 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB111) <=> (~((~v107(constB111)) | (~v120(constB111)))))),
% 15.86/11.00 inference(quant_inst,[status(thm)],[])).
% 15.86/11.00 tff(17430,plain,
% 15.86/11.00 (v106(constB111) <=> (~((~v107(constB111)) | (~v120(constB111))))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17429, 2396])).
% 15.86/11.00 tff(17431,plain,
% 15.86/11.00 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB111) <=> (v108(constB111) | v119(constB111)))),
% 15.86/11.00 inference(quant_inst,[status(thm)],[])).
% 15.86/11.00 tff(17432,plain,
% 15.86/11.00 (v107(constB111) <=> (v108(constB111) | v119(constB111))),
% 15.86/11.00 inference(unit_resolution,[status(thm)],[17431, 2405])).
% 15.86/11.01 tff(17433,plain,
% 15.86/11.01 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB111) <=> (v109(constB111) | v118(constB111)))),
% 15.86/11.01 inference(quant_inst,[status(thm)],[])).
% 15.86/11.01 tff(17434,plain,
% 15.86/11.01 (v108(constB111) <=> (v109(constB111) | v118(constB111))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17433, 2414])).
% 15.86/11.01 tff(17435,plain,
% 15.86/11.01 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB111) <=> (v110(constB111) | v117(constB111)))),
% 15.86/11.01 inference(quant_inst,[status(thm)],[])).
% 15.86/11.01 tff(17436,plain,
% 15.86/11.01 (v109(constB111) <=> (v110(constB111) | v117(constB111))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17435, 2423])).
% 15.86/11.01 tff(17437,plain,
% 15.86/11.01 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB111) <=> (v111(constB111) | v116(constB111)))),
% 15.86/11.01 inference(quant_inst,[status(thm)],[])).
% 15.86/11.01 tff(17438,plain,
% 15.86/11.01 (v110(constB111) <=> (v111(constB111) | v116(constB111))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17437, 2432])).
% 15.86/11.01 tff(17439,plain,
% 15.86/11.01 ((v111(constB111) | v116(constB111)) | (~v116(constB111))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17440,plain,
% 15.86/11.01 (v111(constB111) | v116(constB111)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17439, 17379])).
% 15.86/11.01 tff(17441,plain,
% 15.86/11.01 ((~(v110(constB111) <=> (v111(constB111) | v116(constB111)))) | v110(constB111) | (~(v111(constB111) | v116(constB111)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17442,plain,
% 15.86/11.01 (v110(constB111)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17441, 17440, 17438])).
% 15.86/11.01 tff(17443,plain,
% 15.86/11.01 ((v110(constB111) | v117(constB111)) | (~v110(constB111))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17444,plain,
% 15.86/11.01 (v110(constB111) | v117(constB111)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17443, 17442])).
% 15.86/11.01 tff(17445,plain,
% 15.86/11.01 ((~(v109(constB111) <=> (v110(constB111) | v117(constB111)))) | v109(constB111) | (~(v110(constB111) | v117(constB111)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17446,plain,
% 15.86/11.01 (v109(constB111)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17445, 17444, 17436])).
% 15.86/11.01 tff(17447,plain,
% 15.86/11.01 ((v109(constB111) | v118(constB111)) | (~v109(constB111))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17448,plain,
% 15.86/11.01 (v109(constB111) | v118(constB111)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17447, 17446])).
% 15.86/11.01 tff(17449,plain,
% 15.86/11.01 ((~(v108(constB111) <=> (v109(constB111) | v118(constB111)))) | v108(constB111) | (~(v109(constB111) | v118(constB111)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17450,plain,
% 15.86/11.01 (v108(constB111)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17449, 17448, 17434])).
% 15.86/11.01 tff(17451,plain,
% 15.86/11.01 ((v108(constB111) | v119(constB111)) | (~v108(constB111))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17452,plain,
% 15.86/11.01 (v108(constB111) | v119(constB111)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17451, 17450])).
% 15.86/11.01 tff(17453,plain,
% 15.86/11.01 ((~(v107(constB111) <=> (v108(constB111) | v119(constB111)))) | v107(constB111) | (~(v108(constB111) | v119(constB111)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17454,plain,
% 15.86/11.01 (v107(constB111)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17453, 17452, 17432])).
% 15.86/11.01 tff(17455,plain,
% 15.86/11.01 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB111)) <=> v105(constB111))),
% 15.86/11.01 inference(quant_inst,[status(thm)],[])).
% 15.86/11.01 tff(17456,plain,
% 15.86/11.01 ((~v120(constB111)) <=> v105(constB111)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17455, 2484])).
% 15.86/11.01 tff(17457,plain,
% 15.86/11.01 ((~((~v120(constB111)) <=> v105(constB111))) | v120(constB111) | v105(constB111)),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17458,plain,
% 15.86/11.01 ((~((~v120(constB111)) <=> v105(constB111))) | v120(constB111)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17457, 16252])).
% 15.86/11.01 tff(17459,plain,
% 15.86/11.01 (v120(constB111)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17458, 17456])).
% 15.86/11.01 tff(17460,plain,
% 15.86/11.01 ((~((~v107(constB111)) | (~v120(constB111)))) | (~v107(constB111)) | (~v120(constB111))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17461,plain,
% 15.86/11.01 ((~((~v107(constB111)) | (~v120(constB111)))) | (~v107(constB111))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17460, 17459])).
% 15.86/11.01 tff(17462,plain,
% 15.86/11.01 (~((~v107(constB111)) | (~v120(constB111)))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17461, 17454])).
% 15.86/11.01 tff(17463,plain,
% 15.86/11.01 ((~(v106(constB111) <=> (~((~v107(constB111)) | (~v120(constB111)))))) | v106(constB111) | ((~v107(constB111)) | (~v120(constB111)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17464,plain,
% 15.86/11.01 (v106(constB111)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17463, 17462, 17430])).
% 15.86/11.01 tff(17465,plain,
% 15.86/11.01 ((v105(constB111) | v106(constB111)) | (~v106(constB111))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17466,plain,
% 15.86/11.01 (v105(constB111) | v106(constB111)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17465, 17464])).
% 15.86/11.01 tff(17467,plain,
% 15.86/11.01 ((~(v102(constB111) <=> (v105(constB111) | v106(constB111)))) | v102(constB111) | (~(v105(constB111) | v106(constB111)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17468,plain,
% 15.86/11.01 (v102(constB111)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17467, 17466, 17428])).
% 15.86/11.01 tff(17469,plain,
% 15.86/11.01 ((~(v104(constB112) <=> v102(constB111))) | v104(constB112) | (~v102(constB111))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17470,plain,
% 15.86/11.01 (v104(constB112)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17469, 17468, 17426])).
% 15.86/11.01 tff(17471,plain,
% 15.86/11.01 ((~((~v95(constB112)) | (~v104(constB112)))) | (~v95(constB112)) | (~v104(constB112))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17472,plain,
% 15.86/11.01 (~((~v95(constB112)) | (~v104(constB112)))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17471, 17470, 17422])).
% 15.86/11.01 tff(17473,plain,
% 15.86/11.01 ((~(v94(constB112) <=> (~((~v95(constB112)) | (~v104(constB112)))))) | v94(constB112) | ((~v95(constB112)) | (~v104(constB112)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17474,plain,
% 15.86/11.01 (v94(constB112)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17473, 17472, 17394])).
% 15.86/11.01 tff(17475,plain,
% 15.86/11.01 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB112)) | (~(((~v84(constB112, 2)) <=> v123(constB112, 2)) | ((~v84(constB112, 1)) <=> v123(constB112, 1)) | ((~v84(constB112, 0)) <=> v123(constB112, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB112)) | (~(((~v84(constB112, 2)) <=> v123(constB112, 2)) | ((~v84(constB112, 1)) <=> v123(constB112, 1)) | ((~v84(constB112, 0)) <=> v123(constB112, 0)))))),
% 15.86/11.01 inference(rewrite,[status(thm)],[])).
% 15.86/11.01 tff(17476,plain,
% 15.86/11.01 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB112)) | (~(((~v84(constB112, 2)) <=> v123(constB112, 2)) | ((~v84(constB112, 1)) <=> v123(constB112, 1)) | ((~v84(constB112, 0)) <=> v123(constB112, 0)))))),
% 15.86/11.01 inference(quant_inst,[status(thm)],[])).
% 15.86/11.01 tff(17477,plain,
% 15.86/11.01 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB112)) | (~(((~v84(constB112, 2)) <=> v123(constB112, 2)) | ((~v84(constB112, 1)) <=> v123(constB112, 1)) | ((~v84(constB112, 0)) <=> v123(constB112, 0))))),
% 15.86/11.01 inference(modus_ponens,[status(thm)],[17476, 17475])).
% 15.86/11.01 tff(17478,plain,
% 15.86/11.01 ((~v94(constB112)) | (~(((~v84(constB112, 2)) <=> v123(constB112, 2)) | ((~v84(constB112, 1)) <=> v123(constB112, 1)) | ((~v84(constB112, 0)) <=> v123(constB112, 0))))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17477, 2517])).
% 15.86/11.01 tff(17479,plain,
% 15.86/11.01 (~(((~v84(constB112, 2)) <=> v123(constB112, 2)) | ((~v84(constB112, 1)) <=> v123(constB112, 1)) | ((~v84(constB112, 0)) <=> v123(constB112, 0)))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17478, 17474])).
% 15.86/11.01 tff(17480,plain,
% 15.86/11.01 ((((~v84(constB112, 2)) <=> v123(constB112, 2)) | ((~v84(constB112, 1)) <=> v123(constB112, 1)) | ((~v84(constB112, 0)) <=> v123(constB112, 0))) | (~((~v84(constB112, 2)) <=> v123(constB112, 2)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17481,plain,
% 15.86/11.01 (~((~v84(constB112, 2)) <=> v123(constB112, 2))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17480, 17479])).
% 15.86/11.01 tff(17482,plain,
% 15.86/11.01 (((~v84(constB112, 2)) <=> v123(constB112, 2)) | v84(constB112, 2) | (~v123(constB112, 2))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17483,plain,
% 15.86/11.01 (v84(constB112, 2)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17482, 17481, 17390])).
% 15.86/11.01 tff(17484,plain,
% 15.86/11.01 (((~v84(constB113, 2)) <=> v84(constB112, 2)) | v84(constB113, 2) | (~v84(constB112, 2))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17485,plain,
% 15.86/11.01 (v84(constB113, 2)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17484, 17483, 16236])).
% 15.86/11.01 tff(17486,plain,
% 15.86/11.01 ((((~v84(constB113, 1)) <=> v84(constB112, 1)) | ((~v84(constB113, 2)) <=> v84(constB112, 2)) | ((~v84(constB113, 0)) <=> v84(constB112, 0))) | (~((~v84(constB113, 0)) <=> v84(constB112, 0)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17487,plain,
% 15.86/11.01 (~((~v84(constB113, 0)) <=> v84(constB112, 0))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17486, 16234])).
% 15.86/11.01 tff(17488,plain,
% 15.86/11.01 ((((~v123(constB112, 2)) <=> v121(constB111, 2)) | ((~v123(constB112, 1)) <=> v121(constB111, 1)) | ((~v123(constB112, 0)) <=> v121(constB111, 0))) | (~((~v123(constB112, 0)) <=> v121(constB111, 0)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17489,plain,
% 15.86/11.01 (~((~v123(constB112, 0)) <=> v121(constB111, 0))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17488, 16243])).
% 15.86/11.01 tff(17490,plain,
% 15.86/11.01 ((((~v121(constB111, 2)) <=> v124(constB111, 2)) | ((~v121(constB111, 0)) <=> v124(constB111, 0)) | ((~v121(constB111, 1)) <=> v124(constB111, 1))) | (~((~v121(constB111, 0)) <=> v124(constB111, 0)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17491,plain,
% 15.86/11.01 (~((~v121(constB111, 0)) <=> v124(constB111, 0))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17490, 16257])).
% 15.86/11.01 tff(17492,plain,
% 15.86/11.01 ((v124(constB111, 0) | v124(constB111, 1) | (~v124(constB111, 2))) | (~v124(constB111, 0))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17493,plain,
% 15.86/11.01 (~v124(constB111, 0)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17492, 17384])).
% 15.86/11.01 tff(17494,plain,
% 15.86/11.01 (((~v121(constB111, 0)) <=> v124(constB111, 0)) | (~v121(constB111, 0)) | v124(constB111, 0)),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17495,plain,
% 15.86/11.01 (~v121(constB111, 0)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17494, 17493, 17491])).
% 15.86/11.01 tff(17496,plain,
% 15.86/11.01 (((~v123(constB112, 0)) <=> v121(constB111, 0)) | (~v123(constB112, 0)) | v121(constB111, 0)),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17497,plain,
% 15.86/11.01 (~v123(constB112, 0)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17496, 17495, 17489])).
% 15.86/11.01 tff(17498,plain,
% 15.86/11.01 ((((~v84(constB112, 2)) <=> v123(constB112, 2)) | ((~v84(constB112, 1)) <=> v123(constB112, 1)) | ((~v84(constB112, 0)) <=> v123(constB112, 0))) | (~((~v84(constB112, 0)) <=> v123(constB112, 0)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17499,plain,
% 15.86/11.01 (~((~v84(constB112, 0)) <=> v123(constB112, 0))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17498, 17479])).
% 15.86/11.01 tff(17500,plain,
% 15.86/11.01 (((~v84(constB112, 0)) <=> v123(constB112, 0)) | (~v84(constB112, 0)) | v123(constB112, 0)),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17501,plain,
% 15.86/11.01 (~v84(constB112, 0)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17500, 17499, 17497])).
% 15.86/11.01 tff(17502,plain,
% 15.86/11.01 (((~v84(constB113, 0)) <=> v84(constB112, 0)) | (~v84(constB113, 0)) | v84(constB112, 0)),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17503,plain,
% 15.86/11.01 (~v84(constB113, 0)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17502, 17501, 17487])).
% 15.86/11.01 tff(17504,plain,
% 15.86/11.01 ((((~v84(constB113, 1)) <=> v84(constB112, 1)) | ((~v84(constB113, 2)) <=> v84(constB112, 2)) | ((~v84(constB113, 0)) <=> v84(constB112, 0))) | (~((~v84(constB113, 1)) <=> v84(constB112, 1)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17505,plain,
% 15.86/11.01 (~((~v84(constB113, 1)) <=> v84(constB112, 1))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17504, 16234])).
% 15.86/11.01 tff(17506,plain,
% 15.86/11.01 ((((~v123(constB112, 2)) <=> v121(constB111, 2)) | ((~v123(constB112, 1)) <=> v121(constB111, 1)) | ((~v123(constB112, 0)) <=> v121(constB111, 0))) | (~((~v123(constB112, 1)) <=> v121(constB111, 1)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17507,plain,
% 15.86/11.01 (~((~v123(constB112, 1)) <=> v121(constB111, 1))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17506, 16243])).
% 15.86/11.01 tff(17508,plain,
% 15.86/11.01 ((((~v121(constB111, 2)) <=> v124(constB111, 2)) | ((~v121(constB111, 0)) <=> v124(constB111, 0)) | ((~v121(constB111, 1)) <=> v124(constB111, 1))) | (~((~v121(constB111, 1)) <=> v124(constB111, 1)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17509,plain,
% 15.86/11.01 (~((~v121(constB111, 1)) <=> v124(constB111, 1))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17508, 16257])).
% 15.86/11.01 tff(17510,plain,
% 15.86/11.01 ((v124(constB111, 0) | v124(constB111, 1) | (~v124(constB111, 2))) | (~v124(constB111, 1))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17511,plain,
% 15.86/11.01 (~v124(constB111, 1)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17510, 17384])).
% 15.86/11.01 tff(17512,plain,
% 15.86/11.01 (((~v121(constB111, 1)) <=> v124(constB111, 1)) | (~v121(constB111, 1)) | v124(constB111, 1)),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17513,plain,
% 15.86/11.01 (~v121(constB111, 1)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17512, 17511, 17509])).
% 15.86/11.01 tff(17514,plain,
% 15.86/11.01 (((~v123(constB112, 1)) <=> v121(constB111, 1)) | (~v123(constB112, 1)) | v121(constB111, 1)),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17515,plain,
% 15.86/11.01 (~v123(constB112, 1)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17514, 17513, 17507])).
% 15.86/11.01 tff(17516,plain,
% 15.86/11.01 ((((~v84(constB112, 2)) <=> v123(constB112, 2)) | ((~v84(constB112, 1)) <=> v123(constB112, 1)) | ((~v84(constB112, 0)) <=> v123(constB112, 0))) | (~((~v84(constB112, 1)) <=> v123(constB112, 1)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17517,plain,
% 15.86/11.01 (~((~v84(constB112, 1)) <=> v123(constB112, 1))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17516, 17479])).
% 15.86/11.01 tff(17518,plain,
% 15.86/11.01 (((~v84(constB112, 1)) <=> v123(constB112, 1)) | (~v84(constB112, 1)) | v123(constB112, 1)),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17519,plain,
% 15.86/11.01 (~v84(constB112, 1)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17518, 17517, 17515])).
% 15.86/11.01 tff(17520,plain,
% 15.86/11.01 (((~v84(constB113, 1)) <=> v84(constB112, 1)) | (~v84(constB113, 1)) | v84(constB112, 1)),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17521,plain,
% 15.86/11.01 (~v84(constB113, 1)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17520, 17519, 17505])).
% 15.86/11.01 tff(17522,plain,
% 15.86/11.01 ((~(v84(constB113, 1) | v84(constB113, 0) | (~v84(constB113, 2)))) | v84(constB113, 1) | v84(constB113, 0) | (~v84(constB113, 2))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17523,plain,
% 15.86/11.01 (~(v84(constB113, 1) | v84(constB113, 0) | (~v84(constB113, 2)))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17522, 17521, 17503, 17485])).
% 15.86/11.01 tff(17524,plain,
% 15.86/11.01 ((~(v117(constB113) <=> (~(v84(constB113, 1) | v84(constB113, 0) | (~v84(constB113, 2)))))) | v117(constB113) | (v84(constB113, 1) | v84(constB113, 0) | (~v84(constB113, 2)))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17525,plain,
% 15.86/11.01 (v117(constB113)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17524, 17523, 16200])).
% 15.86/11.01 tff(17526,plain,
% 15.86/11.01 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB113)) | (~(v124(constB113, 0) | (~v124(constB113, 2)) | (~v124(constB113, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB113)) | (~(v124(constB113, 0) | (~v124(constB113, 2)) | (~v124(constB113, 1)))))),
% 15.86/11.01 inference(rewrite,[status(thm)],[])).
% 15.86/11.01 tff(17527,plain,
% 15.86/11.01 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB113)) | (~(v124(constB113, 0) | (~v124(constB113, 2)) | (~v124(constB113, 1)))))),
% 15.86/11.01 inference(quant_inst,[status(thm)],[])).
% 15.86/11.01 tff(17528,plain,
% 15.86/11.01 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB113)) | (~(v124(constB113, 0) | (~v124(constB113, 2)) | (~v124(constB113, 1))))),
% 15.86/11.01 inference(modus_ponens,[status(thm)],[17527, 17526])).
% 15.86/11.01 tff(17529,plain,
% 15.86/11.01 ((~v117(constB113)) | (~(v124(constB113, 0) | (~v124(constB113, 2)) | (~v124(constB113, 1))))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17528, 2584])).
% 15.86/11.01 tff(17530,plain,
% 15.86/11.01 (~(v124(constB113, 0) | (~v124(constB113, 2)) | (~v124(constB113, 1)))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17529, 17525])).
% 15.86/11.01 tff(17531,plain,
% 15.86/11.01 ((v124(constB113, 0) | (~v124(constB113, 2)) | (~v124(constB113, 1))) | (~v124(constB113, 0))),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17532,plain,
% 15.86/11.01 (~v124(constB113, 0)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17531, 17530])).
% 15.86/11.01 tff(17533,plain,
% 15.86/11.01 (((~v121(constB113, 0)) <=> v124(constB113, 0)) | (~v121(constB113, 0)) | v124(constB113, 0)),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17534,plain,
% 15.86/11.01 (~v121(constB113, 0)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17533, 17532, 16193])).
% 15.86/11.01 tff(17535,plain,
% 15.86/11.01 (((~v123(constB114, 0)) <=> v121(constB113, 0)) | (~v123(constB114, 0)) | v121(constB113, 0)),
% 15.86/11.01 inference(tautology,[status(thm)],[])).
% 15.86/11.01 tff(17536,plain,
% 15.86/11.01 (~v123(constB114, 0)),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17535, 17534, 16179])).
% 15.86/11.01 tff(17537,plain,
% 15.86/11.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB113, constB114)) | (v94(constB114) <=> (~((~v95(constB114)) | (~v104(constB114))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB113, constB114)) | (v94(constB114) <=> (~((~v95(constB114)) | (~v104(constB114))))))),
% 15.86/11.01 inference(rewrite,[status(thm)],[])).
% 15.86/11.01 tff(17538,plain,
% 15.86/11.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB113, constB114)) | (v94(constB114) <=> (~((~v95(constB114)) | (~v104(constB114))))))),
% 15.86/11.01 inference(quant_inst,[status(thm)],[])).
% 15.86/11.01 tff(17539,plain,
% 15.86/11.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB113, constB114)) | (v94(constB114) <=> (~((~v95(constB114)) | (~v104(constB114)))))),
% 15.86/11.01 inference(modus_ponens,[status(thm)],[17538, 17537])).
% 15.86/11.01 tff(17540,plain,
% 15.86/11.01 (v94(constB114) <=> (~((~v95(constB114)) | (~v104(constB114))))),
% 15.86/11.01 inference(unit_resolution,[status(thm)],[17539, 16173, 770])).
% 15.86/11.01 tff(17541,plain,
% 15.86/11.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114))))))),
% 15.86/11.02 inference(rewrite,[status(thm)],[])).
% 15.86/11.02 tff(17542,plain,
% 15.86/11.02 (((~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v96(constB114)) | (~v1(constB114)))))) <=> ((~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114))))))),
% 15.86/11.02 inference(rewrite,[status(thm)],[])).
% 15.86/11.02 tff(17543,plain,
% 15.86/11.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v96(constB114)) | (~v1(constB114))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114)))))))),
% 15.86/11.02 inference(monotonicity,[status(thm)],[17542])).
% 15.86/11.02 tff(17544,plain,
% 15.86/11.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v96(constB114)) | (~v1(constB114))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114))))))),
% 15.86/11.02 inference(transitivity,[status(thm)],[17543, 17541])).
% 15.86/11.02 tff(17545,plain,
% 15.86/11.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v96(constB114)) | (~v1(constB114))))))),
% 15.86/11.02 inference(quant_inst,[status(thm)],[])).
% 15.86/11.02 tff(17546,plain,
% 15.86/11.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114)))))),
% 15.86/11.02 inference(modus_ponens,[status(thm)],[17545, 17544])).
% 15.86/11.02 tff(17547,plain,
% 15.86/11.02 (v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114))))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17546, 16173, 790])).
% 15.86/11.02 tff(17548,plain,
% 15.86/11.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB113, constB114)) | ((~v96(constB114)) <=> v98(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB113, constB114)) | ((~v96(constB114)) <=> v98(constB114)))),
% 15.86/11.02 inference(rewrite,[status(thm)],[])).
% 15.86/11.02 tff(17549,plain,
% 15.86/11.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB113, constB114)) | ((~v96(constB114)) <=> v98(constB114)))),
% 15.86/11.02 inference(quant_inst,[status(thm)],[])).
% 15.86/11.02 tff(17550,plain,
% 15.86/11.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB113, constB114)) | ((~v96(constB114)) <=> v98(constB114))),
% 15.86/11.02 inference(modus_ponens,[status(thm)],[17549, 17548])).
% 15.86/11.02 tff(17551,plain,
% 15.86/11.02 ((~v96(constB114)) <=> v98(constB114)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17550, 16173, 2332])).
% 15.86/11.02 tff(17552,plain,
% 15.86/11.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB113, constB114)) | (v98(constB114) <=> v1(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB113, constB114)) | (v98(constB114) <=> v1(constB113)))),
% 15.86/11.02 inference(rewrite,[status(thm)],[])).
% 15.86/11.02 tff(17553,plain,
% 15.86/11.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB113, constB114)) | (v98(constB114) <=> v1(constB113)))),
% 15.86/11.02 inference(quant_inst,[status(thm)],[])).
% 15.86/11.02 tff(17554,plain,
% 15.86/11.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB113, constB114)) | (v98(constB114) <=> v1(constB113))),
% 15.86/11.02 inference(modus_ponens,[status(thm)],[17553, 17552])).
% 15.86/11.02 tff(17555,plain,
% 15.86/11.02 (v98(constB114) <=> v1(constB113)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17554, 16173, 2346])).
% 15.86/11.02 tff(17556,plain,
% 15.86/11.02 ((~(v98(constB114) <=> v1(constB113))) | (~v98(constB114)) | v1(constB113)),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17557,plain,
% 15.86/11.02 ((~(v98(constB114) <=> v1(constB113))) | (~v98(constB114))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17556, 16217])).
% 15.86/11.02 tff(17558,plain,
% 15.86/11.02 (~v98(constB114)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17557, 17555])).
% 15.86/11.02 tff(17559,plain,
% 15.86/11.02 ((~((~v96(constB114)) <=> v98(constB114))) | v96(constB114) | v98(constB114)),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17560,plain,
% 15.86/11.02 (v96(constB114)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17559, 17558, 17551])).
% 15.86/11.02 tff(17561,plain,
% 15.86/11.02 (v1(constB114) <=> v1(constB114)),
% 15.86/11.02 inference(rewrite,[status(thm)],[])).
% 15.86/11.02 tff(17562,axiom,(v1(constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_114')).
% 15.86/11.02 tff(17563,plain,
% 15.86/11.02 (v1(constB114)),
% 15.86/11.02 inference(modus_ponens,[status(thm)],[17562, 17561])).
% 15.86/11.02 tff(17564,plain,
% 15.86/11.02 ((~((~v1(constB114)) | (~v96(constB114)))) | (~v1(constB114)) | (~v96(constB114))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17565,plain,
% 15.86/11.02 ((~((~v1(constB114)) | (~v96(constB114)))) | (~v96(constB114))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17564, 17563])).
% 15.86/11.02 tff(17566,plain,
% 15.86/11.02 (~((~v1(constB114)) | (~v96(constB114)))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17565, 17560])).
% 15.86/11.02 tff(17567,plain,
% 15.86/11.02 ((~(v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114)))))) | v95(constB114) | ((~v1(constB114)) | (~v96(constB114)))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17568,plain,
% 15.86/11.02 (v95(constB114)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17567, 17566, 17547])).
% 15.86/11.02 tff(17569,plain,
% 15.86/11.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB113, constB114)) | (v104(constB114) <=> v102(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB113, constB114)) | (v104(constB114) <=> v102(constB113)))),
% 15.86/11.02 inference(rewrite,[status(thm)],[])).
% 15.86/11.02 tff(17570,plain,
% 15.86/11.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB113, constB114)) | (v104(constB114) <=> v102(constB113)))),
% 15.86/11.02 inference(quant_inst,[status(thm)],[])).
% 15.86/11.02 tff(17571,plain,
% 15.86/11.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB113, constB114)) | (v104(constB114) <=> v102(constB113))),
% 15.86/11.02 inference(modus_ponens,[status(thm)],[17570, 17569])).
% 15.86/11.02 tff(17572,plain,
% 15.86/11.02 (v104(constB114) <=> v102(constB113)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17571, 16173, 2373])).
% 15.86/11.02 tff(17573,plain,
% 15.86/11.02 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB113) <=> (v105(constB113) | v106(constB113)))),
% 15.86/11.02 inference(quant_inst,[status(thm)],[])).
% 15.86/11.02 tff(17574,plain,
% 15.86/11.02 (v102(constB113) <=> (v105(constB113) | v106(constB113))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17573, 2384])).
% 15.86/11.02 tff(17575,plain,
% 15.86/11.02 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB113) <=> (~((~v107(constB113)) | (~v120(constB113)))))),
% 15.86/11.02 inference(quant_inst,[status(thm)],[])).
% 15.86/11.02 tff(17576,plain,
% 15.86/11.02 (v106(constB113) <=> (~((~v107(constB113)) | (~v120(constB113))))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17575, 2396])).
% 15.86/11.02 tff(17577,plain,
% 15.86/11.02 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB113) <=> (v108(constB113) | v119(constB113)))),
% 15.86/11.02 inference(quant_inst,[status(thm)],[])).
% 15.86/11.02 tff(17578,plain,
% 15.86/11.02 (v107(constB113) <=> (v108(constB113) | v119(constB113))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17577, 2405])).
% 15.86/11.02 tff(17579,plain,
% 15.86/11.02 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB113) <=> (v109(constB113) | v118(constB113)))),
% 15.86/11.02 inference(quant_inst,[status(thm)],[])).
% 15.86/11.02 tff(17580,plain,
% 15.86/11.02 (v108(constB113) <=> (v109(constB113) | v118(constB113))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17579, 2414])).
% 15.86/11.02 tff(17581,plain,
% 15.86/11.02 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB113) <=> (v110(constB113) | v117(constB113)))),
% 15.86/11.02 inference(quant_inst,[status(thm)],[])).
% 15.86/11.02 tff(17582,plain,
% 15.86/11.02 (v109(constB113) <=> (v110(constB113) | v117(constB113))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17581, 2423])).
% 15.86/11.02 tff(17583,plain,
% 15.86/11.02 ((v110(constB113) | v117(constB113)) | (~v117(constB113))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17584,plain,
% 15.86/11.02 (v110(constB113) | v117(constB113)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17583, 17525])).
% 15.86/11.02 tff(17585,plain,
% 15.86/11.02 ((~(v109(constB113) <=> (v110(constB113) | v117(constB113)))) | v109(constB113) | (~(v110(constB113) | v117(constB113)))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17586,plain,
% 15.86/11.02 (v109(constB113)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17585, 17584, 17582])).
% 15.86/11.02 tff(17587,plain,
% 15.86/11.02 ((v109(constB113) | v118(constB113)) | (~v109(constB113))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17588,plain,
% 15.86/11.02 (v109(constB113) | v118(constB113)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17587, 17586])).
% 15.86/11.02 tff(17589,plain,
% 15.86/11.02 ((~(v108(constB113) <=> (v109(constB113) | v118(constB113)))) | v108(constB113) | (~(v109(constB113) | v118(constB113)))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17590,plain,
% 15.86/11.02 (v108(constB113)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17589, 17588, 17580])).
% 15.86/11.02 tff(17591,plain,
% 15.86/11.02 ((v108(constB113) | v119(constB113)) | (~v108(constB113))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17592,plain,
% 15.86/11.02 (v108(constB113) | v119(constB113)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17591, 17590])).
% 15.86/11.02 tff(17593,plain,
% 15.86/11.02 ((~(v107(constB113) <=> (v108(constB113) | v119(constB113)))) | v107(constB113) | (~(v108(constB113) | v119(constB113)))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17594,plain,
% 15.86/11.02 (v107(constB113)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17593, 17592, 17578])).
% 15.86/11.02 tff(17595,plain,
% 15.86/11.02 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB113)) <=> v105(constB113))),
% 15.86/11.02 inference(quant_inst,[status(thm)],[])).
% 15.86/11.02 tff(17596,plain,
% 15.86/11.02 ((~v120(constB113)) <=> v105(constB113)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17595, 2484])).
% 15.86/11.02 tff(17597,plain,
% 15.86/11.02 ((~((~v120(constB113)) <=> v105(constB113))) | v120(constB113) | v105(constB113)),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17598,plain,
% 15.86/11.02 ((~((~v120(constB113)) <=> v105(constB113))) | v120(constB113)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17597, 16186])).
% 15.86/11.02 tff(17599,plain,
% 15.86/11.02 (v120(constB113)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17598, 17596])).
% 15.86/11.02 tff(17600,plain,
% 15.86/11.02 ((~((~v107(constB113)) | (~v120(constB113)))) | (~v107(constB113)) | (~v120(constB113))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17601,plain,
% 15.86/11.02 ((~((~v107(constB113)) | (~v120(constB113)))) | (~v107(constB113))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17600, 17599])).
% 15.86/11.02 tff(17602,plain,
% 15.86/11.02 (~((~v107(constB113)) | (~v120(constB113)))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17601, 17594])).
% 15.86/11.02 tff(17603,plain,
% 15.86/11.02 ((~(v106(constB113) <=> (~((~v107(constB113)) | (~v120(constB113)))))) | v106(constB113) | ((~v107(constB113)) | (~v120(constB113)))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17604,plain,
% 15.86/11.02 (v106(constB113)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17603, 17602, 17576])).
% 15.86/11.02 tff(17605,plain,
% 15.86/11.02 ((v105(constB113) | v106(constB113)) | (~v106(constB113))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17606,plain,
% 15.86/11.02 (v105(constB113) | v106(constB113)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17605, 17604])).
% 15.86/11.02 tff(17607,plain,
% 15.86/11.02 ((~(v102(constB113) <=> (v105(constB113) | v106(constB113)))) | v102(constB113) | (~(v105(constB113) | v106(constB113)))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17608,plain,
% 15.86/11.02 (v102(constB113)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17607, 17606, 17574])).
% 15.86/11.02 tff(17609,plain,
% 15.86/11.02 ((~(v104(constB114) <=> v102(constB113))) | v104(constB114) | (~v102(constB113))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17610,plain,
% 15.86/11.02 (v104(constB114)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17609, 17608, 17572])).
% 15.86/11.02 tff(17611,plain,
% 15.86/11.02 ((~((~v95(constB114)) | (~v104(constB114)))) | (~v95(constB114)) | (~v104(constB114))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17612,plain,
% 15.86/11.02 (~((~v95(constB114)) | (~v104(constB114)))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17611, 17610, 17568])).
% 15.86/11.02 tff(17613,plain,
% 15.86/11.02 ((~(v94(constB114) <=> (~((~v95(constB114)) | (~v104(constB114)))))) | v94(constB114) | ((~v95(constB114)) | (~v104(constB114)))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17614,plain,
% 15.86/11.02 (v94(constB114)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17613, 17612, 17540])).
% 15.86/11.02 tff(17615,plain,
% 15.86/11.02 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB114)) | (~(((~v84(constB114, 0)) <=> v123(constB114, 0)) | ((~v84(constB114, 2)) <=> v123(constB114, 2)) | ((~v84(constB114, 1)) <=> v123(constB114, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB114)) | (~(((~v84(constB114, 0)) <=> v123(constB114, 0)) | ((~v84(constB114, 2)) <=> v123(constB114, 2)) | ((~v84(constB114, 1)) <=> v123(constB114, 1)))))),
% 15.86/11.02 inference(rewrite,[status(thm)],[])).
% 15.86/11.02 tff(17616,plain,
% 15.86/11.02 (((~v94(constB114)) | (~(((~v84(constB114, 2)) <=> v123(constB114, 2)) | ((~v84(constB114, 1)) <=> v123(constB114, 1)) | ((~v84(constB114, 0)) <=> v123(constB114, 0))))) <=> ((~v94(constB114)) | (~(((~v84(constB114, 0)) <=> v123(constB114, 0)) | ((~v84(constB114, 2)) <=> v123(constB114, 2)) | ((~v84(constB114, 1)) <=> v123(constB114, 1)))))),
% 15.86/11.02 inference(rewrite,[status(thm)],[])).
% 15.86/11.02 tff(17617,plain,
% 15.86/11.02 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB114)) | (~(((~v84(constB114, 2)) <=> v123(constB114, 2)) | ((~v84(constB114, 1)) <=> v123(constB114, 1)) | ((~v84(constB114, 0)) <=> v123(constB114, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB114)) | (~(((~v84(constB114, 0)) <=> v123(constB114, 0)) | ((~v84(constB114, 2)) <=> v123(constB114, 2)) | ((~v84(constB114, 1)) <=> v123(constB114, 1))))))),
% 15.86/11.02 inference(monotonicity,[status(thm)],[17616])).
% 15.86/11.02 tff(17618,plain,
% 15.86/11.02 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB114)) | (~(((~v84(constB114, 2)) <=> v123(constB114, 2)) | ((~v84(constB114, 1)) <=> v123(constB114, 1)) | ((~v84(constB114, 0)) <=> v123(constB114, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB114)) | (~(((~v84(constB114, 0)) <=> v123(constB114, 0)) | ((~v84(constB114, 2)) <=> v123(constB114, 2)) | ((~v84(constB114, 1)) <=> v123(constB114, 1)))))),
% 15.86/11.02 inference(transitivity,[status(thm)],[17617, 17615])).
% 15.86/11.02 tff(17619,plain,
% 15.86/11.02 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB114)) | (~(((~v84(constB114, 2)) <=> v123(constB114, 2)) | ((~v84(constB114, 1)) <=> v123(constB114, 1)) | ((~v84(constB114, 0)) <=> v123(constB114, 0)))))),
% 15.86/11.02 inference(quant_inst,[status(thm)],[])).
% 15.86/11.02 tff(17620,plain,
% 15.86/11.02 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB114)) | (~(((~v84(constB114, 0)) <=> v123(constB114, 0)) | ((~v84(constB114, 2)) <=> v123(constB114, 2)) | ((~v84(constB114, 1)) <=> v123(constB114, 1))))),
% 15.86/11.02 inference(modus_ponens,[status(thm)],[17619, 17618])).
% 15.86/11.02 tff(17621,plain,
% 15.86/11.02 ((~v94(constB114)) | (~(((~v84(constB114, 0)) <=> v123(constB114, 0)) | ((~v84(constB114, 2)) <=> v123(constB114, 2)) | ((~v84(constB114, 1)) <=> v123(constB114, 1))))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17620, 2517])).
% 15.86/11.02 tff(17622,plain,
% 15.86/11.02 (~(((~v84(constB114, 0)) <=> v123(constB114, 0)) | ((~v84(constB114, 2)) <=> v123(constB114, 2)) | ((~v84(constB114, 1)) <=> v123(constB114, 1)))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17621, 17614])).
% 15.86/11.02 tff(17623,plain,
% 15.86/11.02 ((((~v84(constB114, 0)) <=> v123(constB114, 0)) | ((~v84(constB114, 2)) <=> v123(constB114, 2)) | ((~v84(constB114, 1)) <=> v123(constB114, 1))) | (~((~v84(constB114, 0)) <=> v123(constB114, 0)))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17624,plain,
% 15.86/11.02 (~((~v84(constB114, 0)) <=> v123(constB114, 0))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17623, 17622])).
% 15.86/11.02 tff(17625,plain,
% 15.86/11.02 (((~v84(constB114, 0)) <=> v123(constB114, 0)) | (~v84(constB114, 0)) | v123(constB114, 0)),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17626,plain,
% 15.86/11.02 (~v84(constB114, 0)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17625, 17624, 17536])).
% 15.86/11.02 tff(17627,plain,
% 15.86/11.02 (((~v84(constB115, 0)) <=> v84(constB114, 0)) | (~v84(constB115, 0)) | v84(constB114, 0)),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17628,plain,
% 15.86/11.02 (~v84(constB115, 0)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17627, 17626, 16170])).
% 15.86/11.02 tff(17629,plain,
% 15.86/11.02 ((v84(constB115, 1) | v84(constB115, 2) | (~v84(constB115, 0))) | v84(constB115, 0)),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17630,plain,
% 15.86/11.02 (v84(constB115, 1) | v84(constB115, 2) | (~v84(constB115, 0))),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17629, 17628])).
% 15.86/11.02 tff(17631,plain,
% 15.86/11.02 ((~(v114(constB115) <=> (~(v84(constB115, 1) | v84(constB115, 2) | (~v84(constB115, 0)))))) | (~v114(constB115)) | (~(v84(constB115, 1) | v84(constB115, 2) | (~v84(constB115, 0))))),
% 15.86/11.02 inference(tautology,[status(thm)],[])).
% 15.86/11.02 tff(17632,plain,
% 15.86/11.02 (~v114(constB115)),
% 15.86/11.02 inference(unit_resolution,[status(thm)],[17631, 17630, 16134])).
% 15.86/11.02 tff(17633,plain,
% 15.86/11.02 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB115) <=> (~(v84(constB115, 1) | (~v84(constB115, 2)) | (~v84(constB115, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB115) <=> (~(v84(constB115, 1) | (~v84(constB115, 2)) | (~v84(constB115, 0))))))),
% 15.86/11.02 inference(rewrite,[status(thm)],[])).
% 15.86/11.02 tff(17634,plain,
% 15.86/11.02 ((v118(constB115) <=> (~(v84(constB115, 1) | (~v84(constB115, 0)) | (~v84(constB115, 2))))) <=> (v118(constB115) <=> (~(v84(constB115, 1) | (~v84(constB115, 2)) | (~v84(constB115, 0)))))),
% 15.86/11.02 inference(rewrite,[status(thm)],[])).
% 15.86/11.02 tff(17635,plain,
% 15.86/11.02 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB115) <=> (~(v84(constB115, 1) | (~v84(constB115, 0)) | (~v84(constB115, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB115) <=> (~(v84(constB115, 1) | (~v84(constB115, 2)) | (~v84(constB115, 0))))))),
% 15.86/11.03 inference(monotonicity,[status(thm)],[17634])).
% 15.86/11.03 tff(17636,plain,
% 15.86/11.03 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB115) <=> (~(v84(constB115, 1) | (~v84(constB115, 0)) | (~v84(constB115, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB115) <=> (~(v84(constB115, 1) | (~v84(constB115, 2)) | (~v84(constB115, 0))))))),
% 15.86/11.03 inference(transitivity,[status(thm)],[17635, 17633])).
% 15.86/11.03 tff(17637,plain,
% 15.86/11.03 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB115) <=> (~(v84(constB115, 1) | (~v84(constB115, 0)) | (~v84(constB115, 2)))))),
% 15.86/11.03 inference(quant_inst,[status(thm)],[])).
% 15.86/11.03 tff(17638,plain,
% 15.86/11.03 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB115) <=> (~(v84(constB115, 1) | (~v84(constB115, 2)) | (~v84(constB115, 0)))))),
% 15.86/11.03 inference(modus_ponens,[status(thm)],[17637, 17636])).
% 15.86/11.03 tff(17639,plain,
% 15.86/11.03 (v118(constB115) <=> (~(v84(constB115, 1) | (~v84(constB115, 2)) | (~v84(constB115, 0))))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17638, 2701])).
% 15.86/11.03 tff(17640,plain,
% 15.86/11.03 ((v84(constB115, 1) | (~v84(constB115, 2)) | (~v84(constB115, 0))) | v84(constB115, 0)),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17641,plain,
% 15.86/11.03 (v84(constB115, 1) | (~v84(constB115, 2)) | (~v84(constB115, 0))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17640, 17628])).
% 15.86/11.03 tff(17642,plain,
% 15.86/11.03 ((~(v118(constB115) <=> (~(v84(constB115, 1) | (~v84(constB115, 2)) | (~v84(constB115, 0)))))) | (~v118(constB115)) | (~(v84(constB115, 1) | (~v84(constB115, 2)) | (~v84(constB115, 0))))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17643,plain,
% 15.86/11.03 (~v118(constB115)),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17642, 17641, 17639])).
% 15.86/11.03 tff(17644,plain,
% 15.86/11.03 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB115) <=> (~(v84(constB115, 1) | v84(constB115, 0) | (~v84(constB115, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB115) <=> (~(v84(constB115, 1) | v84(constB115, 0) | (~v84(constB115, 2))))))),
% 15.86/11.03 inference(rewrite,[status(thm)],[])).
% 15.86/11.03 tff(17645,plain,
% 15.86/11.03 ((v117(constB115) <=> (~(v84(constB115, 0) | v84(constB115, 1) | (~v84(constB115, 2))))) <=> (v117(constB115) <=> (~(v84(constB115, 1) | v84(constB115, 0) | (~v84(constB115, 2)))))),
% 15.86/11.03 inference(rewrite,[status(thm)],[])).
% 15.86/11.03 tff(17646,plain,
% 15.86/11.03 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB115) <=> (~(v84(constB115, 0) | v84(constB115, 1) | (~v84(constB115, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB115) <=> (~(v84(constB115, 1) | v84(constB115, 0) | (~v84(constB115, 2))))))),
% 15.86/11.03 inference(monotonicity,[status(thm)],[17645])).
% 15.86/11.03 tff(17647,plain,
% 15.86/11.03 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB115) <=> (~(v84(constB115, 0) | v84(constB115, 1) | (~v84(constB115, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB115) <=> (~(v84(constB115, 1) | v84(constB115, 0) | (~v84(constB115, 2))))))),
% 15.86/11.03 inference(transitivity,[status(thm)],[17646, 17644])).
% 15.86/11.03 tff(17648,plain,
% 15.86/11.03 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB115) <=> (~(v84(constB115, 0) | v84(constB115, 1) | (~v84(constB115, 2)))))),
% 15.86/11.03 inference(quant_inst,[status(thm)],[])).
% 15.86/11.03 tff(17649,plain,
% 15.86/11.03 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB115) <=> (~(v84(constB115, 1) | v84(constB115, 0) | (~v84(constB115, 2)))))),
% 15.86/11.03 inference(modus_ponens,[status(thm)],[17648, 17647])).
% 15.86/11.03 tff(17650,plain,
% 15.86/11.03 (v117(constB115) <=> (~(v84(constB115, 1) | v84(constB115, 0) | (~v84(constB115, 2))))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17649, 1199])).
% 15.86/11.03 tff(17651,plain,
% 15.86/11.03 ((((~v84(constB115, 1)) <=> v84(constB114, 1)) | ((~v84(constB115, 2)) <=> v84(constB114, 2)) | ((~v84(constB115, 0)) <=> v84(constB114, 0))) | (~((~v84(constB115, 1)) <=> v84(constB114, 1)))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17652,plain,
% 15.86/11.03 (~((~v84(constB115, 1)) <=> v84(constB114, 1))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17651, 16168])).
% 15.86/11.03 tff(17653,plain,
% 15.86/11.03 ((((~v123(constB114, 2)) <=> v121(constB113, 2)) | ((~v123(constB114, 1)) <=> v121(constB113, 1)) | ((~v123(constB114, 0)) <=> v121(constB113, 0))) | (~((~v123(constB114, 1)) <=> v121(constB113, 1)))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17654,plain,
% 15.86/11.03 (~((~v123(constB114, 1)) <=> v121(constB113, 1))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17653, 16177])).
% 15.86/11.03 tff(17655,plain,
% 15.86/11.03 ((((~v121(constB113, 2)) <=> v124(constB113, 2)) | ((~v121(constB113, 0)) <=> v124(constB113, 0)) | ((~v121(constB113, 1)) <=> v124(constB113, 1))) | (~((~v121(constB113, 1)) <=> v124(constB113, 1)))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17656,plain,
% 15.86/11.03 (~((~v121(constB113, 1)) <=> v124(constB113, 1))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17655, 16191])).
% 15.86/11.03 tff(17657,plain,
% 15.86/11.03 ((v124(constB113, 0) | (~v124(constB113, 2)) | (~v124(constB113, 1))) | v124(constB113, 1)),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17658,plain,
% 15.86/11.03 (v124(constB113, 1)),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17657, 17530])).
% 15.86/11.03 tff(17659,plain,
% 15.86/11.03 (((~v121(constB113, 1)) <=> v124(constB113, 1)) | v121(constB113, 1) | (~v124(constB113, 1))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17660,plain,
% 15.86/11.03 (v121(constB113, 1)),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17659, 17658, 17656])).
% 15.86/11.03 tff(17661,plain,
% 15.86/11.03 (((~v123(constB114, 1)) <=> v121(constB113, 1)) | v123(constB114, 1) | (~v121(constB113, 1))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17662,plain,
% 15.86/11.03 (v123(constB114, 1)),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17661, 17660, 17654])).
% 15.86/11.03 tff(17663,plain,
% 15.86/11.03 ((((~v84(constB114, 0)) <=> v123(constB114, 0)) | ((~v84(constB114, 2)) <=> v123(constB114, 2)) | ((~v84(constB114, 1)) <=> v123(constB114, 1))) | (~((~v84(constB114, 1)) <=> v123(constB114, 1)))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17664,plain,
% 15.86/11.03 (~((~v84(constB114, 1)) <=> v123(constB114, 1))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17663, 17622])).
% 15.86/11.03 tff(17665,plain,
% 15.86/11.03 (((~v84(constB114, 1)) <=> v123(constB114, 1)) | v84(constB114, 1) | (~v123(constB114, 1))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17666,plain,
% 15.86/11.03 (v84(constB114, 1)),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17665, 17664, 17662])).
% 15.86/11.03 tff(17667,plain,
% 15.86/11.03 (((~v84(constB115, 1)) <=> v84(constB114, 1)) | v84(constB115, 1) | (~v84(constB114, 1))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17668,plain,
% 15.86/11.03 (v84(constB115, 1)),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17667, 17666, 17652])).
% 15.86/11.03 tff(17669,plain,
% 15.86/11.03 ((v84(constB115, 1) | v84(constB115, 0) | (~v84(constB115, 2))) | (~v84(constB115, 1))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17670,plain,
% 15.86/11.03 (v84(constB115, 1) | v84(constB115, 0) | (~v84(constB115, 2))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17669, 17668])).
% 15.86/11.03 tff(17671,plain,
% 15.86/11.03 ((~(v117(constB115) <=> (~(v84(constB115, 1) | v84(constB115, 0) | (~v84(constB115, 2)))))) | (~v117(constB115)) | (~(v84(constB115, 1) | v84(constB115, 0) | (~v84(constB115, 2))))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17672,plain,
% 15.86/11.03 (~v117(constB115)),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17671, 17670, 17650])).
% 15.86/11.03 tff(17673,plain,
% 15.86/11.03 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB115) <=> (~(v84(constB115, 2) | (~v84(constB115, 1)) | (~v84(constB115, 0)))))),
% 15.86/11.03 inference(quant_inst,[status(thm)],[])).
% 15.86/11.03 tff(17674,plain,
% 15.86/11.03 (v116(constB115) <=> (~(v84(constB115, 2) | (~v84(constB115, 1)) | (~v84(constB115, 0))))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17673, 911])).
% 15.86/11.03 tff(17675,plain,
% 15.86/11.03 ((v84(constB115, 2) | (~v84(constB115, 1)) | (~v84(constB115, 0))) | v84(constB115, 0)),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17676,plain,
% 15.86/11.03 (v84(constB115, 2) | (~v84(constB115, 1)) | (~v84(constB115, 0))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17675, 17628])).
% 15.86/11.03 tff(17677,plain,
% 15.86/11.03 ((~(v116(constB115) <=> (~(v84(constB115, 2) | (~v84(constB115, 1)) | (~v84(constB115, 0)))))) | (~v116(constB115)) | (~(v84(constB115, 2) | (~v84(constB115, 1)) | (~v84(constB115, 0))))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17678,plain,
% 15.86/11.03 (~v116(constB115)),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17677, 17676, 17674])).
% 15.86/11.03 tff(17679,plain,
% 15.86/11.03 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB115) <=> (~(v84(constB115, 2) | v84(constB115, 0) | (~v84(constB115, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB115) <=> (~(v84(constB115, 2) | v84(constB115, 0) | (~v84(constB115, 1))))))),
% 15.86/11.03 inference(rewrite,[status(thm)],[])).
% 15.86/11.03 tff(17680,plain,
% 15.86/11.03 ((v115(constB115) <=> (~(v84(constB115, 0) | v84(constB115, 2) | (~v84(constB115, 1))))) <=> (v115(constB115) <=> (~(v84(constB115, 2) | v84(constB115, 0) | (~v84(constB115, 1)))))),
% 15.86/11.03 inference(rewrite,[status(thm)],[])).
% 15.86/11.03 tff(17681,plain,
% 15.86/11.03 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB115) <=> (~(v84(constB115, 0) | v84(constB115, 2) | (~v84(constB115, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB115) <=> (~(v84(constB115, 2) | v84(constB115, 0) | (~v84(constB115, 1))))))),
% 15.86/11.03 inference(monotonicity,[status(thm)],[17680])).
% 15.86/11.03 tff(17682,plain,
% 15.86/11.03 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB115) <=> (~(v84(constB115, 0) | v84(constB115, 2) | (~v84(constB115, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB115) <=> (~(v84(constB115, 2) | v84(constB115, 0) | (~v84(constB115, 1))))))),
% 15.86/11.03 inference(transitivity,[status(thm)],[17681, 17679])).
% 15.86/11.03 tff(17683,plain,
% 15.86/11.03 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB115) <=> (~(v84(constB115, 0) | v84(constB115, 2) | (~v84(constB115, 1)))))),
% 15.86/11.03 inference(quant_inst,[status(thm)],[])).
% 15.86/11.03 tff(17684,plain,
% 15.86/11.03 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB115) <=> (~(v84(constB115, 2) | v84(constB115, 0) | (~v84(constB115, 1)))))),
% 15.86/11.03 inference(modus_ponens,[status(thm)],[17683, 17682])).
% 15.86/11.03 tff(17685,plain,
% 15.86/11.03 (v115(constB115) <=> (~(v84(constB115, 2) | v84(constB115, 0) | (~v84(constB115, 1))))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17684, 985])).
% 15.86/11.03 tff(17686,plain,
% 15.86/11.03 ((((~v84(constB115, 1)) <=> v84(constB114, 1)) | ((~v84(constB115, 2)) <=> v84(constB114, 2)) | ((~v84(constB115, 0)) <=> v84(constB114, 0))) | (~((~v84(constB115, 2)) <=> v84(constB114, 2)))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17687,plain,
% 15.86/11.03 (~((~v84(constB115, 2)) <=> v84(constB114, 2))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17686, 16168])).
% 15.86/11.03 tff(17688,plain,
% 15.86/11.03 ((((~v123(constB114, 2)) <=> v121(constB113, 2)) | ((~v123(constB114, 1)) <=> v121(constB113, 1)) | ((~v123(constB114, 0)) <=> v121(constB113, 0))) | (~((~v123(constB114, 2)) <=> v121(constB113, 2)))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17689,plain,
% 15.86/11.03 (~((~v123(constB114, 2)) <=> v121(constB113, 2))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17688, 16177])).
% 15.86/11.03 tff(17690,plain,
% 15.86/11.03 ((((~v121(constB113, 2)) <=> v124(constB113, 2)) | ((~v121(constB113, 0)) <=> v124(constB113, 0)) | ((~v121(constB113, 1)) <=> v124(constB113, 1))) | (~((~v121(constB113, 2)) <=> v124(constB113, 2)))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17691,plain,
% 15.86/11.03 (~((~v121(constB113, 2)) <=> v124(constB113, 2))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17690, 16191])).
% 15.86/11.03 tff(17692,plain,
% 15.86/11.03 ((v124(constB113, 0) | (~v124(constB113, 2)) | (~v124(constB113, 1))) | v124(constB113, 2)),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17693,plain,
% 15.86/11.03 (v124(constB113, 2)),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17692, 17530])).
% 15.86/11.03 tff(17694,plain,
% 15.86/11.03 (((~v121(constB113, 2)) <=> v124(constB113, 2)) | v121(constB113, 2) | (~v124(constB113, 2))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17695,plain,
% 15.86/11.03 (v121(constB113, 2)),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17694, 17693, 17691])).
% 15.86/11.03 tff(17696,plain,
% 15.86/11.03 (((~v123(constB114, 2)) <=> v121(constB113, 2)) | v123(constB114, 2) | (~v121(constB113, 2))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17697,plain,
% 15.86/11.03 (v123(constB114, 2)),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17696, 17695, 17689])).
% 15.86/11.03 tff(17698,plain,
% 15.86/11.03 ((((~v84(constB114, 0)) <=> v123(constB114, 0)) | ((~v84(constB114, 2)) <=> v123(constB114, 2)) | ((~v84(constB114, 1)) <=> v123(constB114, 1))) | (~((~v84(constB114, 2)) <=> v123(constB114, 2)))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17699,plain,
% 15.86/11.03 (~((~v84(constB114, 2)) <=> v123(constB114, 2))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17698, 17622])).
% 15.86/11.03 tff(17700,plain,
% 15.86/11.03 (((~v84(constB114, 2)) <=> v123(constB114, 2)) | v84(constB114, 2) | (~v123(constB114, 2))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17701,plain,
% 15.86/11.03 (v84(constB114, 2)),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17700, 17699, 17697])).
% 15.86/11.03 tff(17702,plain,
% 15.86/11.03 (((~v84(constB115, 2)) <=> v84(constB114, 2)) | v84(constB115, 2) | (~v84(constB114, 2))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17703,plain,
% 15.86/11.03 (v84(constB115, 2)),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17702, 17701, 17687])).
% 15.86/11.03 tff(17704,plain,
% 15.86/11.03 ((v84(constB115, 2) | v84(constB115, 0) | (~v84(constB115, 1))) | (~v84(constB115, 2))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17705,plain,
% 15.86/11.03 (v84(constB115, 2) | v84(constB115, 0) | (~v84(constB115, 1))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17704, 17703])).
% 15.86/11.03 tff(17706,plain,
% 15.86/11.03 ((~(v115(constB115) <=> (~(v84(constB115, 2) | v84(constB115, 0) | (~v84(constB115, 1)))))) | (~v115(constB115)) | (~(v84(constB115, 2) | v84(constB115, 0) | (~v84(constB115, 1))))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17707,plain,
% 15.86/11.03 (~v115(constB115)),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17706, 17705, 17685])).
% 15.86/11.03 tff(17708,plain,
% 15.86/11.03 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB115) <=> (~(v84(constB115, 0) | v84(constB115, 1) | v84(constB115, 2))))),
% 15.86/11.03 inference(quant_inst,[status(thm)],[])).
% 15.86/11.03 tff(17709,plain,
% 15.86/11.03 (v113(constB115) <=> (~(v84(constB115, 0) | v84(constB115, 1) | v84(constB115, 2)))),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17708, 1466])).
% 15.86/11.03 tff(17710,plain,
% 15.86/11.03 ((v84(constB115, 0) | v84(constB115, 1) | v84(constB115, 2)) | (~v84(constB115, 2))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.03 tff(17711,plain,
% 15.86/11.03 (v84(constB115, 0) | v84(constB115, 1) | v84(constB115, 2)),
% 15.86/11.03 inference(unit_resolution,[status(thm)],[17710, 17703])).
% 15.86/11.03 tff(17712,plain,
% 15.86/11.03 ((~(v113(constB115) <=> (~(v84(constB115, 0) | v84(constB115, 1) | v84(constB115, 2))))) | (~v113(constB115)) | (~(v84(constB115, 0) | v84(constB115, 1) | v84(constB115, 2)))),
% 15.86/11.03 inference(tautology,[status(thm)],[])).
% 15.86/11.04 tff(17713,plain,
% 15.86/11.04 (~v113(constB115)),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17712, 17711, 17709])).
% 15.86/11.04 tff(17714,plain,
% 15.86/11.04 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB115) | v114(constB115) | v115(constB115) | v116(constB115) | v117(constB115) | v118(constB115) | (~(v124(constB115, 2) | v124(constB115, 1) | (~v124(constB115, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB115) | v114(constB115) | v115(constB115) | v116(constB115) | v117(constB115) | v118(constB115) | (~(v124(constB115, 2) | v124(constB115, 1) | (~v124(constB115, 0)))))),
% 15.86/11.04 inference(rewrite,[status(thm)],[])).
% 15.86/11.04 tff(17715,plain,
% 15.86/11.04 ((v118(constB115) | v117(constB115) | v116(constB115) | v115(constB115) | v114(constB115) | v113(constB115) | (~(v124(constB115, 2) | v124(constB115, 1) | (~v124(constB115, 0))))) <=> (v113(constB115) | v114(constB115) | v115(constB115) | v116(constB115) | v117(constB115) | v118(constB115) | (~(v124(constB115, 2) | v124(constB115, 1) | (~v124(constB115, 0)))))),
% 15.86/11.04 inference(rewrite,[status(thm)],[])).
% 15.86/11.04 tff(17716,plain,
% 15.86/11.04 ((~(v124(constB115, 1) | v124(constB115, 2) | (~v124(constB115, 0)))) <=> (~(v124(constB115, 2) | v124(constB115, 1) | (~v124(constB115, 0))))),
% 15.86/11.04 inference(rewrite,[status(thm)],[])).
% 15.86/11.04 tff(17717,plain,
% 15.86/11.04 ((v118(constB115) | v117(constB115) | v116(constB115) | v115(constB115) | v114(constB115) | v113(constB115) | (~(v124(constB115, 1) | v124(constB115, 2) | (~v124(constB115, 0))))) <=> (v118(constB115) | v117(constB115) | v116(constB115) | v115(constB115) | v114(constB115) | v113(constB115) | (~(v124(constB115, 2) | v124(constB115, 1) | (~v124(constB115, 0)))))),
% 15.86/11.04 inference(monotonicity,[status(thm)],[17716])).
% 15.86/11.04 tff(17718,plain,
% 15.86/11.04 ((v118(constB115) | v117(constB115) | v116(constB115) | v115(constB115) | v114(constB115) | v113(constB115) | (~(v124(constB115, 1) | v124(constB115, 2) | (~v124(constB115, 0))))) <=> (v113(constB115) | v114(constB115) | v115(constB115) | v116(constB115) | v117(constB115) | v118(constB115) | (~(v124(constB115, 2) | v124(constB115, 1) | (~v124(constB115, 0)))))),
% 15.86/11.04 inference(transitivity,[status(thm)],[17717, 17715])).
% 15.86/11.04 tff(17719,plain,
% 15.86/11.04 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB115) | v117(constB115) | v116(constB115) | v115(constB115) | v114(constB115) | v113(constB115) | (~(v124(constB115, 1) | v124(constB115, 2) | (~v124(constB115, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB115) | v114(constB115) | v115(constB115) | v116(constB115) | v117(constB115) | v118(constB115) | (~(v124(constB115, 2) | v124(constB115, 1) | (~v124(constB115, 0))))))),
% 15.86/11.04 inference(monotonicity,[status(thm)],[17718])).
% 15.86/11.04 tff(17720,plain,
% 15.86/11.04 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB115) | v117(constB115) | v116(constB115) | v115(constB115) | v114(constB115) | v113(constB115) | (~(v124(constB115, 1) | v124(constB115, 2) | (~v124(constB115, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB115) | v114(constB115) | v115(constB115) | v116(constB115) | v117(constB115) | v118(constB115) | (~(v124(constB115, 2) | v124(constB115, 1) | (~v124(constB115, 0)))))),
% 15.86/11.04 inference(transitivity,[status(thm)],[17719, 17714])).
% 15.86/11.04 tff(17721,plain,
% 15.86/11.04 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB115) | v117(constB115) | v116(constB115) | v115(constB115) | v114(constB115) | v113(constB115) | (~(v124(constB115, 1) | v124(constB115, 2) | (~v124(constB115, 0)))))),
% 15.86/11.04 inference(quant_inst,[status(thm)],[])).
% 15.86/11.04 tff(17722,plain,
% 15.86/11.04 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB115) | v114(constB115) | v115(constB115) | v116(constB115) | v117(constB115) | v118(constB115) | (~(v124(constB115, 2) | v124(constB115, 1) | (~v124(constB115, 0))))),
% 15.86/11.04 inference(modus_ponens,[status(thm)],[17721, 17720])).
% 15.86/11.04 tff(17723,plain,
% 15.86/11.04 (v113(constB115) | v114(constB115) | v115(constB115) | v116(constB115) | v117(constB115) | v118(constB115) | (~(v124(constB115, 2) | v124(constB115, 1) | (~v124(constB115, 0))))),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17722, 2777])).
% 15.86/11.04 tff(17724,plain,
% 15.86/11.04 (~(v124(constB115, 2) | v124(constB115, 1) | (~v124(constB115, 0)))),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17723, 17713, 17707, 17678, 17672, 17643, 17632])).
% 15.86/11.04 tff(17725,plain,
% 15.86/11.04 ((v124(constB115, 2) | v124(constB115, 1) | (~v124(constB115, 0))) | (~v124(constB115, 2))),
% 15.86/11.04 inference(tautology,[status(thm)],[])).
% 15.86/11.04 tff(17726,plain,
% 15.86/11.04 (~v124(constB115, 2)),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17725, 17724])).
% 15.86/11.04 tff(17727,plain,
% 15.86/11.04 (((~v121(constB115, 2)) <=> v124(constB115, 2)) | (~v121(constB115, 2)) | v124(constB115, 2)),
% 15.86/11.04 inference(tautology,[status(thm)],[])).
% 15.86/11.04 tff(17728,plain,
% 15.86/11.04 (~v121(constB115, 2)),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17727, 17726, 16132])).
% 15.86/11.04 tff(17729,plain,
% 15.86/11.04 (((~v123(constB116, 2)) <=> v121(constB115, 2)) | (~v123(constB116, 2)) | v121(constB115, 2)),
% 15.86/11.04 inference(tautology,[status(thm)],[])).
% 15.86/11.04 tff(17730,plain,
% 15.86/11.04 (~v123(constB116, 2)),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17729, 17728, 16118])).
% 15.86/11.04 tff(17731,plain,
% 15.86/11.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB115, constB116)) | (v94(constB116) <=> (~((~v95(constB116)) | (~v104(constB116))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB115, constB116)) | (v94(constB116) <=> (~((~v95(constB116)) | (~v104(constB116))))))),
% 15.86/11.04 inference(rewrite,[status(thm)],[])).
% 15.86/11.04 tff(17732,plain,
% 15.86/11.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB115, constB116)) | (v94(constB116) <=> (~((~v95(constB116)) | (~v104(constB116))))))),
% 15.86/11.04 inference(quant_inst,[status(thm)],[])).
% 15.86/11.04 tff(17733,plain,
% 15.86/11.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB115, constB116)) | (v94(constB116) <=> (~((~v95(constB116)) | (~v104(constB116)))))),
% 15.86/11.04 inference(modus_ponens,[status(thm)],[17732, 17731])).
% 15.86/11.04 tff(17734,plain,
% 15.86/11.04 (v94(constB116) <=> (~((~v95(constB116)) | (~v104(constB116))))),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17733, 16112, 770])).
% 15.86/11.04 tff(17735,plain,
% 15.86/11.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116))))))),
% 15.86/11.04 inference(rewrite,[status(thm)],[])).
% 15.86/11.04 tff(17736,plain,
% 15.86/11.04 (((~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v96(constB116)) | (~v1(constB116)))))) <=> ((~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116))))))),
% 15.86/11.04 inference(rewrite,[status(thm)],[])).
% 15.86/11.04 tff(17737,plain,
% 15.86/11.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v96(constB116)) | (~v1(constB116))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116)))))))),
% 15.86/11.04 inference(monotonicity,[status(thm)],[17736])).
% 15.86/11.04 tff(17738,plain,
% 15.86/11.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v96(constB116)) | (~v1(constB116))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116))))))),
% 15.86/11.04 inference(transitivity,[status(thm)],[17737, 17735])).
% 15.86/11.04 tff(17739,plain,
% 15.86/11.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v96(constB116)) | (~v1(constB116))))))),
% 15.86/11.04 inference(quant_inst,[status(thm)],[])).
% 15.86/11.04 tff(17740,plain,
% 15.86/11.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116)))))),
% 15.86/11.04 inference(modus_ponens,[status(thm)],[17739, 17738])).
% 15.86/11.04 tff(17741,plain,
% 15.86/11.04 (v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116))))),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17740, 16112, 790])).
% 15.86/11.04 tff(17742,plain,
% 15.86/11.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB115, constB116)) | ((~v96(constB116)) <=> v98(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB115, constB116)) | ((~v96(constB116)) <=> v98(constB116)))),
% 15.86/11.04 inference(rewrite,[status(thm)],[])).
% 15.86/11.04 tff(17743,plain,
% 15.86/11.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB115, constB116)) | ((~v96(constB116)) <=> v98(constB116)))),
% 15.86/11.04 inference(quant_inst,[status(thm)],[])).
% 15.86/11.04 tff(17744,plain,
% 15.86/11.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB115, constB116)) | ((~v96(constB116)) <=> v98(constB116))),
% 15.86/11.04 inference(modus_ponens,[status(thm)],[17743, 17742])).
% 15.86/11.04 tff(17745,plain,
% 15.86/11.04 ((~v96(constB116)) <=> v98(constB116)),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17744, 16112, 2332])).
% 15.86/11.04 tff(17746,plain,
% 15.86/11.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB115, constB116)) | (v98(constB116) <=> v1(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB115, constB116)) | (v98(constB116) <=> v1(constB115)))),
% 15.86/11.04 inference(rewrite,[status(thm)],[])).
% 15.86/11.04 tff(17747,plain,
% 15.86/11.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB115, constB116)) | (v98(constB116) <=> v1(constB115)))),
% 15.86/11.04 inference(quant_inst,[status(thm)],[])).
% 15.86/11.04 tff(17748,plain,
% 15.86/11.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB115, constB116)) | (v98(constB116) <=> v1(constB115))),
% 15.86/11.04 inference(modus_ponens,[status(thm)],[17747, 17746])).
% 15.86/11.04 tff(17749,plain,
% 15.86/11.04 (v98(constB116) <=> v1(constB115)),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17748, 16112, 2346])).
% 15.86/11.04 tff(17750,plain,
% 15.86/11.04 ((~(v98(constB116) <=> v1(constB115))) | (~v98(constB116)) | v1(constB115)),
% 15.86/11.04 inference(tautology,[status(thm)],[])).
% 15.86/11.04 tff(17751,plain,
% 15.86/11.04 ((~(v98(constB116) <=> v1(constB115))) | (~v98(constB116))),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17750, 16151])).
% 15.86/11.04 tff(17752,plain,
% 15.86/11.04 (~v98(constB116)),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17751, 17749])).
% 15.86/11.04 tff(17753,plain,
% 15.86/11.04 ((~((~v96(constB116)) <=> v98(constB116))) | v96(constB116) | v98(constB116)),
% 15.86/11.04 inference(tautology,[status(thm)],[])).
% 15.86/11.04 tff(17754,plain,
% 15.86/11.04 (v96(constB116)),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17753, 17752, 17745])).
% 15.86/11.04 tff(17755,plain,
% 15.86/11.04 (v1(constB116) <=> v1(constB116)),
% 15.86/11.04 inference(rewrite,[status(thm)],[])).
% 15.86/11.04 tff(17756,axiom,(v1(constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_116')).
% 15.86/11.04 tff(17757,plain,
% 15.86/11.04 (v1(constB116)),
% 15.86/11.04 inference(modus_ponens,[status(thm)],[17756, 17755])).
% 15.86/11.04 tff(17758,plain,
% 15.86/11.04 ((~((~v1(constB116)) | (~v96(constB116)))) | (~v1(constB116)) | (~v96(constB116))),
% 15.86/11.04 inference(tautology,[status(thm)],[])).
% 15.86/11.04 tff(17759,plain,
% 15.86/11.04 ((~((~v1(constB116)) | (~v96(constB116)))) | (~v96(constB116))),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17758, 17757])).
% 15.86/11.04 tff(17760,plain,
% 15.86/11.04 (~((~v1(constB116)) | (~v96(constB116)))),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17759, 17754])).
% 15.86/11.04 tff(17761,plain,
% 15.86/11.04 ((~(v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116)))))) | v95(constB116) | ((~v1(constB116)) | (~v96(constB116)))),
% 15.86/11.04 inference(tautology,[status(thm)],[])).
% 15.86/11.04 tff(17762,plain,
% 15.86/11.04 (v95(constB116)),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17761, 17760, 17741])).
% 15.86/11.04 tff(17763,plain,
% 15.86/11.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB115, constB116)) | (v104(constB116) <=> v102(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB115, constB116)) | (v104(constB116) <=> v102(constB115)))),
% 15.86/11.04 inference(rewrite,[status(thm)],[])).
% 15.86/11.04 tff(17764,plain,
% 15.86/11.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB115, constB116)) | (v104(constB116) <=> v102(constB115)))),
% 15.86/11.04 inference(quant_inst,[status(thm)],[])).
% 15.86/11.04 tff(17765,plain,
% 15.86/11.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB115, constB116)) | (v104(constB116) <=> v102(constB115))),
% 15.86/11.04 inference(modus_ponens,[status(thm)],[17764, 17763])).
% 15.86/11.04 tff(17766,plain,
% 15.86/11.04 (v104(constB116) <=> v102(constB115)),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17765, 16112, 2373])).
% 15.86/11.04 tff(17767,plain,
% 15.86/11.04 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB115) <=> (v105(constB115) | v106(constB115)))),
% 15.86/11.04 inference(quant_inst,[status(thm)],[])).
% 15.86/11.04 tff(17768,plain,
% 15.86/11.04 (v102(constB115) <=> (v105(constB115) | v106(constB115))),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17767, 2384])).
% 15.86/11.04 tff(17769,plain,
% 15.86/11.04 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB115) <=> (~((~v107(constB115)) | (~v120(constB115)))))),
% 15.86/11.04 inference(quant_inst,[status(thm)],[])).
% 15.86/11.04 tff(17770,plain,
% 15.86/11.04 (v106(constB115) <=> (~((~v107(constB115)) | (~v120(constB115))))),
% 15.86/11.04 inference(unit_resolution,[status(thm)],[17769, 2396])).
% 15.86/11.04 tff(17771,plain,
% 15.86/11.04 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB115) <=> (v108(constB115) | v119(constB115)))),
% 15.86/11.04 inference(quant_inst,[status(thm)],[])).
% 15.86/11.05 tff(17772,plain,
% 15.86/11.05 (v107(constB115) <=> (v108(constB115) | v119(constB115))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17771, 2405])).
% 15.86/11.05 tff(17773,plain,
% 15.86/11.05 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB115) <=> (~(v84(constB115, 0) | (~v84(constB115, 1)) | (~v84(constB115, 2)))))),
% 15.86/11.05 inference(quant_inst,[status(thm)],[])).
% 15.86/11.05 tff(17774,plain,
% 15.86/11.05 (v119(constB115) <=> (~(v84(constB115, 0) | (~v84(constB115, 1)) | (~v84(constB115, 2))))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17773, 2849])).
% 15.86/11.05 tff(17775,plain,
% 15.86/11.05 ((~(v84(constB115, 0) | (~v84(constB115, 1)) | (~v84(constB115, 2)))) | v84(constB115, 0) | (~v84(constB115, 1)) | (~v84(constB115, 2))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17776,plain,
% 15.86/11.05 (~(v84(constB115, 0) | (~v84(constB115, 1)) | (~v84(constB115, 2)))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17775, 17668, 17628, 17703])).
% 15.86/11.05 tff(17777,plain,
% 15.86/11.05 ((~(v119(constB115) <=> (~(v84(constB115, 0) | (~v84(constB115, 1)) | (~v84(constB115, 2)))))) | v119(constB115) | (v84(constB115, 0) | (~v84(constB115, 1)) | (~v84(constB115, 2)))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17778,plain,
% 15.86/11.05 (v119(constB115)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17777, 17776, 17774])).
% 15.86/11.05 tff(17779,plain,
% 15.86/11.05 ((v108(constB115) | v119(constB115)) | (~v119(constB115))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17780,plain,
% 15.86/11.05 (v108(constB115) | v119(constB115)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17779, 17778])).
% 15.86/11.05 tff(17781,plain,
% 15.86/11.05 ((~(v107(constB115) <=> (v108(constB115) | v119(constB115)))) | v107(constB115) | (~(v108(constB115) | v119(constB115)))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17782,plain,
% 15.86/11.05 (v107(constB115)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17781, 17780, 17772])).
% 15.86/11.05 tff(17783,plain,
% 15.86/11.05 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB115)) <=> v105(constB115))),
% 15.86/11.05 inference(quant_inst,[status(thm)],[])).
% 15.86/11.05 tff(17784,plain,
% 15.86/11.05 ((~v120(constB115)) <=> v105(constB115)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17783, 2484])).
% 15.86/11.05 tff(17785,plain,
% 15.86/11.05 ((~((~v120(constB115)) <=> v105(constB115))) | v120(constB115) | v105(constB115)),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17786,plain,
% 15.86/11.05 ((~((~v120(constB115)) <=> v105(constB115))) | v120(constB115)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17785, 16125])).
% 15.86/11.05 tff(17787,plain,
% 15.86/11.05 (v120(constB115)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17786, 17784])).
% 15.86/11.05 tff(17788,plain,
% 15.86/11.05 ((~((~v107(constB115)) | (~v120(constB115)))) | (~v107(constB115)) | (~v120(constB115))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17789,plain,
% 15.86/11.05 ((~((~v107(constB115)) | (~v120(constB115)))) | (~v107(constB115))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17788, 17787])).
% 15.86/11.05 tff(17790,plain,
% 15.86/11.05 (~((~v107(constB115)) | (~v120(constB115)))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17789, 17782])).
% 15.86/11.05 tff(17791,plain,
% 15.86/11.05 ((~(v106(constB115) <=> (~((~v107(constB115)) | (~v120(constB115)))))) | v106(constB115) | ((~v107(constB115)) | (~v120(constB115)))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17792,plain,
% 15.86/11.05 (v106(constB115)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17791, 17790, 17770])).
% 15.86/11.05 tff(17793,plain,
% 15.86/11.05 ((v105(constB115) | v106(constB115)) | (~v106(constB115))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17794,plain,
% 15.86/11.05 (v105(constB115) | v106(constB115)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17793, 17792])).
% 15.86/11.05 tff(17795,plain,
% 15.86/11.05 ((~(v102(constB115) <=> (v105(constB115) | v106(constB115)))) | v102(constB115) | (~(v105(constB115) | v106(constB115)))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17796,plain,
% 15.86/11.05 (v102(constB115)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17795, 17794, 17768])).
% 15.86/11.05 tff(17797,plain,
% 15.86/11.05 ((~(v104(constB116) <=> v102(constB115))) | v104(constB116) | (~v102(constB115))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17798,plain,
% 15.86/11.05 (v104(constB116)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17797, 17796, 17766])).
% 15.86/11.05 tff(17799,plain,
% 15.86/11.05 ((~((~v95(constB116)) | (~v104(constB116)))) | (~v95(constB116)) | (~v104(constB116))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17800,plain,
% 15.86/11.05 (~((~v95(constB116)) | (~v104(constB116)))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17799, 17798, 17762])).
% 15.86/11.05 tff(17801,plain,
% 15.86/11.05 ((~(v94(constB116) <=> (~((~v95(constB116)) | (~v104(constB116)))))) | v94(constB116) | ((~v95(constB116)) | (~v104(constB116)))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17802,plain,
% 15.86/11.05 (v94(constB116)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17801, 17800, 17734])).
% 15.86/11.05 tff(17803,plain,
% 15.86/11.05 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB116)) | (~(((~v84(constB116, 2)) <=> v123(constB116, 2)) | ((~v84(constB116, 1)) <=> v123(constB116, 1)) | ((~v84(constB116, 0)) <=> v123(constB116, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB116)) | (~(((~v84(constB116, 2)) <=> v123(constB116, 2)) | ((~v84(constB116, 1)) <=> v123(constB116, 1)) | ((~v84(constB116, 0)) <=> v123(constB116, 0)))))),
% 15.86/11.05 inference(rewrite,[status(thm)],[])).
% 15.86/11.05 tff(17804,plain,
% 15.86/11.05 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB116)) | (~(((~v84(constB116, 2)) <=> v123(constB116, 2)) | ((~v84(constB116, 1)) <=> v123(constB116, 1)) | ((~v84(constB116, 0)) <=> v123(constB116, 0)))))),
% 15.86/11.05 inference(quant_inst,[status(thm)],[])).
% 15.86/11.05 tff(17805,plain,
% 15.86/11.05 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB116)) | (~(((~v84(constB116, 2)) <=> v123(constB116, 2)) | ((~v84(constB116, 1)) <=> v123(constB116, 1)) | ((~v84(constB116, 0)) <=> v123(constB116, 0))))),
% 15.86/11.05 inference(modus_ponens,[status(thm)],[17804, 17803])).
% 15.86/11.05 tff(17806,plain,
% 15.86/11.05 ((~v94(constB116)) | (~(((~v84(constB116, 2)) <=> v123(constB116, 2)) | ((~v84(constB116, 1)) <=> v123(constB116, 1)) | ((~v84(constB116, 0)) <=> v123(constB116, 0))))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17805, 2517])).
% 15.86/11.05 tff(17807,plain,
% 15.86/11.05 (~(((~v84(constB116, 2)) <=> v123(constB116, 2)) | ((~v84(constB116, 1)) <=> v123(constB116, 1)) | ((~v84(constB116, 0)) <=> v123(constB116, 0)))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17806, 17802])).
% 15.86/11.05 tff(17808,plain,
% 15.86/11.05 ((((~v84(constB116, 2)) <=> v123(constB116, 2)) | ((~v84(constB116, 1)) <=> v123(constB116, 1)) | ((~v84(constB116, 0)) <=> v123(constB116, 0))) | (~((~v84(constB116, 2)) <=> v123(constB116, 2)))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17809,plain,
% 15.86/11.05 (~((~v84(constB116, 2)) <=> v123(constB116, 2))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17808, 17807])).
% 15.86/11.05 tff(17810,plain,
% 15.86/11.05 (((~v84(constB116, 2)) <=> v123(constB116, 2)) | (~v84(constB116, 2)) | v123(constB116, 2)),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17811,plain,
% 15.86/11.05 (~v84(constB116, 2)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17810, 17809, 17730])).
% 15.86/11.05 tff(17812,plain,
% 15.86/11.05 (((~v84(constB117, 2)) <=> v84(constB116, 2)) | (~v84(constB117, 2)) | v84(constB116, 2)),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17813,plain,
% 15.86/11.05 (~v84(constB117, 2)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17812, 17811, 16109])).
% 15.86/11.05 tff(17814,plain,
% 15.86/11.05 ((((~v84(constB117, 1)) <=> v84(constB116, 1)) | ((~v84(constB117, 2)) <=> v84(constB116, 2)) | ((~v84(constB117, 0)) <=> v84(constB116, 0))) | (~((~v84(constB117, 0)) <=> v84(constB116, 0)))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17815,plain,
% 15.86/11.05 (~((~v84(constB117, 0)) <=> v84(constB116, 0))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17814, 16107])).
% 15.86/11.05 tff(17816,plain,
% 15.86/11.05 ((((~v123(constB116, 2)) <=> v121(constB115, 2)) | ((~v123(constB116, 1)) <=> v121(constB115, 1)) | ((~v123(constB116, 0)) <=> v121(constB115, 0))) | (~((~v123(constB116, 0)) <=> v121(constB115, 0)))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17817,plain,
% 15.86/11.05 (~((~v123(constB116, 0)) <=> v121(constB115, 0))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17816, 16116])).
% 15.86/11.05 tff(17818,plain,
% 15.86/11.05 ((((~v121(constB115, 2)) <=> v124(constB115, 2)) | ((~v121(constB115, 0)) <=> v124(constB115, 0)) | ((~v121(constB115, 1)) <=> v124(constB115, 1))) | (~((~v121(constB115, 0)) <=> v124(constB115, 0)))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17819,plain,
% 15.86/11.05 (~((~v121(constB115, 0)) <=> v124(constB115, 0))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17818, 16130])).
% 15.86/11.05 tff(17820,plain,
% 15.86/11.05 ((v124(constB115, 2) | v124(constB115, 1) | (~v124(constB115, 0))) | v124(constB115, 0)),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17821,plain,
% 15.86/11.05 (v124(constB115, 0)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17820, 17724])).
% 15.86/11.05 tff(17822,plain,
% 15.86/11.05 (((~v121(constB115, 0)) <=> v124(constB115, 0)) | v121(constB115, 0) | (~v124(constB115, 0))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17823,plain,
% 15.86/11.05 (v121(constB115, 0)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17822, 17821, 17819])).
% 15.86/11.05 tff(17824,plain,
% 15.86/11.05 (((~v123(constB116, 0)) <=> v121(constB115, 0)) | v123(constB116, 0) | (~v121(constB115, 0))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17825,plain,
% 15.86/11.05 (v123(constB116, 0)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17824, 17823, 17817])).
% 15.86/11.05 tff(17826,plain,
% 15.86/11.05 ((((~v84(constB116, 2)) <=> v123(constB116, 2)) | ((~v84(constB116, 1)) <=> v123(constB116, 1)) | ((~v84(constB116, 0)) <=> v123(constB116, 0))) | (~((~v84(constB116, 0)) <=> v123(constB116, 0)))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17827,plain,
% 15.86/11.05 (~((~v84(constB116, 0)) <=> v123(constB116, 0))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17826, 17807])).
% 15.86/11.05 tff(17828,plain,
% 15.86/11.05 (((~v84(constB116, 0)) <=> v123(constB116, 0)) | v84(constB116, 0) | (~v123(constB116, 0))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17829,plain,
% 15.86/11.05 (v84(constB116, 0)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17828, 17827, 17825])).
% 15.86/11.05 tff(17830,plain,
% 15.86/11.05 (((~v84(constB117, 0)) <=> v84(constB116, 0)) | v84(constB117, 0) | (~v84(constB116, 0))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17831,plain,
% 15.86/11.05 (v84(constB117, 0)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17830, 17829, 17815])).
% 15.86/11.05 tff(17832,plain,
% 15.86/11.05 ((((~v84(constB117, 1)) <=> v84(constB116, 1)) | ((~v84(constB117, 2)) <=> v84(constB116, 2)) | ((~v84(constB117, 0)) <=> v84(constB116, 0))) | (~((~v84(constB117, 1)) <=> v84(constB116, 1)))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17833,plain,
% 15.86/11.05 (~((~v84(constB117, 1)) <=> v84(constB116, 1))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17832, 16107])).
% 15.86/11.05 tff(17834,plain,
% 15.86/11.05 ((((~v123(constB116, 2)) <=> v121(constB115, 2)) | ((~v123(constB116, 1)) <=> v121(constB115, 1)) | ((~v123(constB116, 0)) <=> v121(constB115, 0))) | (~((~v123(constB116, 1)) <=> v121(constB115, 1)))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17835,plain,
% 15.86/11.05 (~((~v123(constB116, 1)) <=> v121(constB115, 1))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17834, 16116])).
% 15.86/11.05 tff(17836,plain,
% 15.86/11.05 ((((~v121(constB115, 2)) <=> v124(constB115, 2)) | ((~v121(constB115, 0)) <=> v124(constB115, 0)) | ((~v121(constB115, 1)) <=> v124(constB115, 1))) | (~((~v121(constB115, 1)) <=> v124(constB115, 1)))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17837,plain,
% 15.86/11.05 (~((~v121(constB115, 1)) <=> v124(constB115, 1))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17836, 16130])).
% 15.86/11.05 tff(17838,plain,
% 15.86/11.05 ((v124(constB115, 2) | v124(constB115, 1) | (~v124(constB115, 0))) | (~v124(constB115, 1))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17839,plain,
% 15.86/11.05 (~v124(constB115, 1)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17838, 17724])).
% 15.86/11.05 tff(17840,plain,
% 15.86/11.05 (((~v121(constB115, 1)) <=> v124(constB115, 1)) | (~v121(constB115, 1)) | v124(constB115, 1)),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17841,plain,
% 15.86/11.05 (~v121(constB115, 1)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17840, 17839, 17837])).
% 15.86/11.05 tff(17842,plain,
% 15.86/11.05 (((~v123(constB116, 1)) <=> v121(constB115, 1)) | (~v123(constB116, 1)) | v121(constB115, 1)),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17843,plain,
% 15.86/11.05 (~v123(constB116, 1)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17842, 17841, 17835])).
% 15.86/11.05 tff(17844,plain,
% 15.86/11.05 ((((~v84(constB116, 2)) <=> v123(constB116, 2)) | ((~v84(constB116, 1)) <=> v123(constB116, 1)) | ((~v84(constB116, 0)) <=> v123(constB116, 0))) | (~((~v84(constB116, 1)) <=> v123(constB116, 1)))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17845,plain,
% 15.86/11.05 (~((~v84(constB116, 1)) <=> v123(constB116, 1))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17844, 17807])).
% 15.86/11.05 tff(17846,plain,
% 15.86/11.05 (((~v84(constB116, 1)) <=> v123(constB116, 1)) | (~v84(constB116, 1)) | v123(constB116, 1)),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17847,plain,
% 15.86/11.05 (~v84(constB116, 1)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17846, 17845, 17843])).
% 15.86/11.05 tff(17848,plain,
% 15.86/11.05 (((~v84(constB117, 1)) <=> v84(constB116, 1)) | (~v84(constB117, 1)) | v84(constB116, 1)),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17849,plain,
% 15.86/11.05 (~v84(constB117, 1)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17848, 17847, 17833])).
% 15.86/11.05 tff(17850,plain,
% 15.86/11.05 ((~(v84(constB117, 1) | v84(constB117, 2) | (~v84(constB117, 0)))) | v84(constB117, 1) | v84(constB117, 2) | (~v84(constB117, 0))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17851,plain,
% 15.86/11.05 (~(v84(constB117, 1) | v84(constB117, 2) | (~v84(constB117, 0)))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17850, 17849, 17831, 17813])).
% 15.86/11.05 tff(17852,plain,
% 15.86/11.05 ((~(v114(constB117) <=> (~(v84(constB117, 1) | v84(constB117, 2) | (~v84(constB117, 0)))))) | v114(constB117) | (v84(constB117, 1) | v84(constB117, 2) | (~v84(constB117, 0)))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17853,plain,
% 15.86/11.05 (v114(constB117)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17852, 17851, 16073])).
% 15.86/11.05 tff(17854,plain,
% 15.86/11.05 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB117)) | (~(v124(constB117, 2) | v124(constB117, 0) | (~v124(constB117, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB117)) | (~(v124(constB117, 2) | v124(constB117, 0) | (~v124(constB117, 1)))))),
% 15.86/11.05 inference(rewrite,[status(thm)],[])).
% 15.86/11.05 tff(17855,plain,
% 15.86/11.05 (((~v114(constB117)) | (~(v124(constB117, 0) | v124(constB117, 2) | (~v124(constB117, 1))))) <=> ((~v114(constB117)) | (~(v124(constB117, 2) | v124(constB117, 0) | (~v124(constB117, 1)))))),
% 15.86/11.05 inference(rewrite,[status(thm)],[])).
% 15.86/11.05 tff(17856,plain,
% 15.86/11.05 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB117)) | (~(v124(constB117, 0) | v124(constB117, 2) | (~v124(constB117, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB117)) | (~(v124(constB117, 2) | v124(constB117, 0) | (~v124(constB117, 1))))))),
% 15.86/11.05 inference(monotonicity,[status(thm)],[17855])).
% 15.86/11.05 tff(17857,plain,
% 15.86/11.05 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB117)) | (~(v124(constB117, 0) | v124(constB117, 2) | (~v124(constB117, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB117)) | (~(v124(constB117, 2) | v124(constB117, 0) | (~v124(constB117, 1)))))),
% 15.86/11.05 inference(transitivity,[status(thm)],[17856, 17854])).
% 15.86/11.05 tff(17858,plain,
% 15.86/11.05 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB117)) | (~(v124(constB117, 0) | v124(constB117, 2) | (~v124(constB117, 1)))))),
% 15.86/11.05 inference(quant_inst,[status(thm)],[])).
% 15.86/11.05 tff(17859,plain,
% 15.86/11.05 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB117)) | (~(v124(constB117, 2) | v124(constB117, 0) | (~v124(constB117, 1))))),
% 15.86/11.05 inference(modus_ponens,[status(thm)],[17858, 17857])).
% 15.86/11.05 tff(17860,plain,
% 15.86/11.05 ((~v114(constB117)) | (~(v124(constB117, 2) | v124(constB117, 0) | (~v124(constB117, 1))))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17859, 2964])).
% 15.86/11.05 tff(17861,plain,
% 15.86/11.05 (~(v124(constB117, 2) | v124(constB117, 0) | (~v124(constB117, 1)))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17860, 17853])).
% 15.86/11.05 tff(17862,plain,
% 15.86/11.05 ((v124(constB117, 2) | v124(constB117, 0) | (~v124(constB117, 1))) | (~v124(constB117, 2))),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17863,plain,
% 15.86/11.05 (~v124(constB117, 2)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17862, 17861])).
% 15.86/11.05 tff(17864,plain,
% 15.86/11.05 (((~v121(constB117, 2)) <=> v124(constB117, 2)) | (~v121(constB117, 2)) | v124(constB117, 2)),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17865,plain,
% 15.86/11.05 (~v121(constB117, 2)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17864, 17863, 16071])).
% 15.86/11.05 tff(17866,plain,
% 15.86/11.05 (((~v123(constB118, 2)) <=> v121(constB117, 2)) | (~v123(constB118, 2)) | v121(constB117, 2)),
% 15.86/11.05 inference(tautology,[status(thm)],[])).
% 15.86/11.05 tff(17867,plain,
% 15.86/11.05 (~v123(constB118, 2)),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17866, 17865, 16057])).
% 15.86/11.05 tff(17868,plain,
% 15.86/11.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB117, constB118)) | (v94(constB118) <=> (~((~v95(constB118)) | (~v104(constB118))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB117, constB118)) | (v94(constB118) <=> (~((~v95(constB118)) | (~v104(constB118))))))),
% 15.86/11.05 inference(rewrite,[status(thm)],[])).
% 15.86/11.05 tff(17869,plain,
% 15.86/11.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB117, constB118)) | (v94(constB118) <=> (~((~v95(constB118)) | (~v104(constB118))))))),
% 15.86/11.05 inference(quant_inst,[status(thm)],[])).
% 15.86/11.05 tff(17870,plain,
% 15.86/11.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB117, constB118)) | (v94(constB118) <=> (~((~v95(constB118)) | (~v104(constB118)))))),
% 15.86/11.05 inference(modus_ponens,[status(thm)],[17869, 17868])).
% 15.86/11.05 tff(17871,plain,
% 15.86/11.05 (v94(constB118) <=> (~((~v95(constB118)) | (~v104(constB118))))),
% 15.86/11.05 inference(unit_resolution,[status(thm)],[17870, 16051, 770])).
% 15.86/11.05 tff(17872,plain,
% 15.86/11.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118))))))),
% 15.86/11.06 inference(rewrite,[status(thm)],[])).
% 15.86/11.06 tff(17873,plain,
% 15.86/11.06 (((~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v96(constB118)) | (~v1(constB118)))))) <=> ((~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118))))))),
% 15.86/11.06 inference(rewrite,[status(thm)],[])).
% 15.86/11.06 tff(17874,plain,
% 15.86/11.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v96(constB118)) | (~v1(constB118))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118)))))))),
% 15.86/11.06 inference(monotonicity,[status(thm)],[17873])).
% 15.86/11.06 tff(17875,plain,
% 15.86/11.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v96(constB118)) | (~v1(constB118))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118))))))),
% 15.86/11.06 inference(transitivity,[status(thm)],[17874, 17872])).
% 15.86/11.06 tff(17876,plain,
% 15.86/11.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v96(constB118)) | (~v1(constB118))))))),
% 15.86/11.06 inference(quant_inst,[status(thm)],[])).
% 15.86/11.06 tff(17877,plain,
% 15.86/11.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118)))))),
% 15.86/11.06 inference(modus_ponens,[status(thm)],[17876, 17875])).
% 15.86/11.06 tff(17878,plain,
% 15.86/11.06 (v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118))))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17877, 16051, 790])).
% 15.86/11.06 tff(17879,plain,
% 15.86/11.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB117, constB118)) | ((~v96(constB118)) <=> v98(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB117, constB118)) | ((~v96(constB118)) <=> v98(constB118)))),
% 15.86/11.06 inference(rewrite,[status(thm)],[])).
% 15.86/11.06 tff(17880,plain,
% 15.86/11.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB117, constB118)) | ((~v96(constB118)) <=> v98(constB118)))),
% 15.86/11.06 inference(quant_inst,[status(thm)],[])).
% 15.86/11.06 tff(17881,plain,
% 15.86/11.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB117, constB118)) | ((~v96(constB118)) <=> v98(constB118))),
% 15.86/11.06 inference(modus_ponens,[status(thm)],[17880, 17879])).
% 15.86/11.06 tff(17882,plain,
% 15.86/11.06 ((~v96(constB118)) <=> v98(constB118)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17881, 16051, 2332])).
% 15.86/11.06 tff(17883,plain,
% 15.86/11.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB117, constB118)) | (v98(constB118) <=> v1(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB117, constB118)) | (v98(constB118) <=> v1(constB117)))),
% 15.86/11.06 inference(rewrite,[status(thm)],[])).
% 15.86/11.06 tff(17884,plain,
% 15.86/11.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB117, constB118)) | (v98(constB118) <=> v1(constB117)))),
% 15.86/11.06 inference(quant_inst,[status(thm)],[])).
% 15.86/11.06 tff(17885,plain,
% 15.86/11.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB117, constB118)) | (v98(constB118) <=> v1(constB117))),
% 15.86/11.06 inference(modus_ponens,[status(thm)],[17884, 17883])).
% 15.86/11.06 tff(17886,plain,
% 15.86/11.06 (v98(constB118) <=> v1(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17885, 16051, 2346])).
% 15.86/11.06 tff(17887,plain,
% 15.86/11.06 ((~(v98(constB118) <=> v1(constB117))) | (~v98(constB118)) | v1(constB117)),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17888,plain,
% 15.86/11.06 ((~(v98(constB118) <=> v1(constB117))) | (~v98(constB118))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17887, 16090])).
% 15.86/11.06 tff(17889,plain,
% 15.86/11.06 (~v98(constB118)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17888, 17886])).
% 15.86/11.06 tff(17890,plain,
% 15.86/11.06 ((~((~v96(constB118)) <=> v98(constB118))) | v96(constB118) | v98(constB118)),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17891,plain,
% 15.86/11.06 (v96(constB118)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17890, 17889, 17882])).
% 15.86/11.06 tff(17892,plain,
% 15.86/11.06 (v1(constB118) <=> v1(constB118)),
% 15.86/11.06 inference(rewrite,[status(thm)],[])).
% 15.86/11.06 tff(17893,axiom,(v1(constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_118')).
% 15.86/11.06 tff(17894,plain,
% 15.86/11.06 (v1(constB118)),
% 15.86/11.06 inference(modus_ponens,[status(thm)],[17893, 17892])).
% 15.86/11.06 tff(17895,plain,
% 15.86/11.06 ((~((~v1(constB118)) | (~v96(constB118)))) | (~v1(constB118)) | (~v96(constB118))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17896,plain,
% 15.86/11.06 ((~((~v1(constB118)) | (~v96(constB118)))) | (~v96(constB118))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17895, 17894])).
% 15.86/11.06 tff(17897,plain,
% 15.86/11.06 (~((~v1(constB118)) | (~v96(constB118)))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17896, 17891])).
% 15.86/11.06 tff(17898,plain,
% 15.86/11.06 ((~(v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118)))))) | v95(constB118) | ((~v1(constB118)) | (~v96(constB118)))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17899,plain,
% 15.86/11.06 (v95(constB118)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17898, 17897, 17878])).
% 15.86/11.06 tff(17900,plain,
% 15.86/11.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB117, constB118)) | (v104(constB118) <=> v102(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB117, constB118)) | (v104(constB118) <=> v102(constB117)))),
% 15.86/11.06 inference(rewrite,[status(thm)],[])).
% 15.86/11.06 tff(17901,plain,
% 15.86/11.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB117, constB118)) | (v104(constB118) <=> v102(constB117)))),
% 15.86/11.06 inference(quant_inst,[status(thm)],[])).
% 15.86/11.06 tff(17902,plain,
% 15.86/11.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB117, constB118)) | (v104(constB118) <=> v102(constB117))),
% 15.86/11.06 inference(modus_ponens,[status(thm)],[17901, 17900])).
% 15.86/11.06 tff(17903,plain,
% 15.86/11.06 (v104(constB118) <=> v102(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17902, 16051, 2373])).
% 15.86/11.06 tff(17904,plain,
% 15.86/11.06 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB117) <=> (v105(constB117) | v106(constB117)))),
% 15.86/11.06 inference(quant_inst,[status(thm)],[])).
% 15.86/11.06 tff(17905,plain,
% 15.86/11.06 (v102(constB117) <=> (v105(constB117) | v106(constB117))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17904, 2384])).
% 15.86/11.06 tff(17906,plain,
% 15.86/11.06 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB117) <=> (~((~v107(constB117)) | (~v120(constB117)))))),
% 15.86/11.06 inference(quant_inst,[status(thm)],[])).
% 15.86/11.06 tff(17907,plain,
% 15.86/11.06 (v106(constB117) <=> (~((~v107(constB117)) | (~v120(constB117))))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17906, 2396])).
% 15.86/11.06 tff(17908,plain,
% 15.86/11.06 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB117) <=> (v108(constB117) | v119(constB117)))),
% 15.86/11.06 inference(quant_inst,[status(thm)],[])).
% 15.86/11.06 tff(17909,plain,
% 15.86/11.06 (v107(constB117) <=> (v108(constB117) | v119(constB117))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17908, 2405])).
% 15.86/11.06 tff(17910,plain,
% 15.86/11.06 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB117) <=> (v109(constB117) | v118(constB117)))),
% 15.86/11.06 inference(quant_inst,[status(thm)],[])).
% 15.86/11.06 tff(17911,plain,
% 15.86/11.06 (v108(constB117) <=> (v109(constB117) | v118(constB117))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17910, 2414])).
% 15.86/11.06 tff(17912,plain,
% 15.86/11.06 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB117) <=> (v110(constB117) | v117(constB117)))),
% 15.86/11.06 inference(quant_inst,[status(thm)],[])).
% 15.86/11.06 tff(17913,plain,
% 15.86/11.06 (v109(constB117) <=> (v110(constB117) | v117(constB117))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17912, 2423])).
% 15.86/11.06 tff(17914,plain,
% 15.86/11.06 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB117) <=> (v111(constB117) | v116(constB117)))),
% 15.86/11.06 inference(quant_inst,[status(thm)],[])).
% 15.86/11.06 tff(17915,plain,
% 15.86/11.06 (v110(constB117) <=> (v111(constB117) | v116(constB117))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17914, 2432])).
% 15.86/11.06 tff(17916,plain,
% 15.86/11.06 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB117) <=> (v112(constB117) | v115(constB117)))),
% 15.86/11.06 inference(quant_inst,[status(thm)],[])).
% 15.86/11.06 tff(17917,plain,
% 15.86/11.06 (v111(constB117) <=> (v112(constB117) | v115(constB117))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17916, 2441])).
% 15.86/11.06 tff(17918,plain,
% 15.86/11.06 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB117) <=> (v113(constB117) | v114(constB117)))),
% 15.86/11.06 inference(quant_inst,[status(thm)],[])).
% 15.86/11.06 tff(17919,plain,
% 15.86/11.06 (v112(constB117) <=> (v113(constB117) | v114(constB117))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17918, 2450])).
% 15.86/11.06 tff(17920,plain,
% 15.86/11.06 ((v113(constB117) | v114(constB117)) | (~v114(constB117))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17921,plain,
% 15.86/11.06 (v113(constB117) | v114(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17920, 17853])).
% 15.86/11.06 tff(17922,plain,
% 15.86/11.06 ((~(v112(constB117) <=> (v113(constB117) | v114(constB117)))) | v112(constB117) | (~(v113(constB117) | v114(constB117)))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17923,plain,
% 15.86/11.06 (v112(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17922, 17921, 17919])).
% 15.86/11.06 tff(17924,plain,
% 15.86/11.06 ((v112(constB117) | v115(constB117)) | (~v112(constB117))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17925,plain,
% 15.86/11.06 (v112(constB117) | v115(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17924, 17923])).
% 15.86/11.06 tff(17926,plain,
% 15.86/11.06 ((~(v111(constB117) <=> (v112(constB117) | v115(constB117)))) | v111(constB117) | (~(v112(constB117) | v115(constB117)))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17927,plain,
% 15.86/11.06 (v111(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17926, 17925, 17917])).
% 15.86/11.06 tff(17928,plain,
% 15.86/11.06 ((v111(constB117) | v116(constB117)) | (~v111(constB117))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17929,plain,
% 15.86/11.06 (v111(constB117) | v116(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17928, 17927])).
% 15.86/11.06 tff(17930,plain,
% 15.86/11.06 ((~(v110(constB117) <=> (v111(constB117) | v116(constB117)))) | v110(constB117) | (~(v111(constB117) | v116(constB117)))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17931,plain,
% 15.86/11.06 (v110(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17930, 17929, 17915])).
% 15.86/11.06 tff(17932,plain,
% 15.86/11.06 ((v110(constB117) | v117(constB117)) | (~v110(constB117))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17933,plain,
% 15.86/11.06 (v110(constB117) | v117(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17932, 17931])).
% 15.86/11.06 tff(17934,plain,
% 15.86/11.06 ((~(v109(constB117) <=> (v110(constB117) | v117(constB117)))) | v109(constB117) | (~(v110(constB117) | v117(constB117)))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17935,plain,
% 15.86/11.06 (v109(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17934, 17933, 17913])).
% 15.86/11.06 tff(17936,plain,
% 15.86/11.06 ((v109(constB117) | v118(constB117)) | (~v109(constB117))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17937,plain,
% 15.86/11.06 (v109(constB117) | v118(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17936, 17935])).
% 15.86/11.06 tff(17938,plain,
% 15.86/11.06 ((~(v108(constB117) <=> (v109(constB117) | v118(constB117)))) | v108(constB117) | (~(v109(constB117) | v118(constB117)))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17939,plain,
% 15.86/11.06 (v108(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17938, 17937, 17911])).
% 15.86/11.06 tff(17940,plain,
% 15.86/11.06 ((v108(constB117) | v119(constB117)) | (~v108(constB117))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17941,plain,
% 15.86/11.06 (v108(constB117) | v119(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17940, 17939])).
% 15.86/11.06 tff(17942,plain,
% 15.86/11.06 ((~(v107(constB117) <=> (v108(constB117) | v119(constB117)))) | v107(constB117) | (~(v108(constB117) | v119(constB117)))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17943,plain,
% 15.86/11.06 (v107(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17942, 17941, 17909])).
% 15.86/11.06 tff(17944,plain,
% 15.86/11.06 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB117)) <=> v105(constB117))),
% 15.86/11.06 inference(quant_inst,[status(thm)],[])).
% 15.86/11.06 tff(17945,plain,
% 15.86/11.06 ((~v120(constB117)) <=> v105(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17944, 2484])).
% 15.86/11.06 tff(17946,plain,
% 15.86/11.06 ((~((~v120(constB117)) <=> v105(constB117))) | v120(constB117) | v105(constB117)),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17947,plain,
% 15.86/11.06 ((~((~v120(constB117)) <=> v105(constB117))) | v120(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17946, 16064])).
% 15.86/11.06 tff(17948,plain,
% 15.86/11.06 (v120(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17947, 17945])).
% 15.86/11.06 tff(17949,plain,
% 15.86/11.06 ((~((~v107(constB117)) | (~v120(constB117)))) | (~v107(constB117)) | (~v120(constB117))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17950,plain,
% 15.86/11.06 ((~((~v107(constB117)) | (~v120(constB117)))) | (~v107(constB117))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17949, 17948])).
% 15.86/11.06 tff(17951,plain,
% 15.86/11.06 (~((~v107(constB117)) | (~v120(constB117)))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17950, 17943])).
% 15.86/11.06 tff(17952,plain,
% 15.86/11.06 ((~(v106(constB117) <=> (~((~v107(constB117)) | (~v120(constB117)))))) | v106(constB117) | ((~v107(constB117)) | (~v120(constB117)))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17953,plain,
% 15.86/11.06 (v106(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17952, 17951, 17907])).
% 15.86/11.06 tff(17954,plain,
% 15.86/11.06 ((v105(constB117) | v106(constB117)) | (~v106(constB117))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17955,plain,
% 15.86/11.06 (v105(constB117) | v106(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17954, 17953])).
% 15.86/11.06 tff(17956,plain,
% 15.86/11.06 ((~(v102(constB117) <=> (v105(constB117) | v106(constB117)))) | v102(constB117) | (~(v105(constB117) | v106(constB117)))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17957,plain,
% 15.86/11.06 (v102(constB117)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17956, 17955, 17905])).
% 15.86/11.06 tff(17958,plain,
% 15.86/11.06 ((~(v104(constB118) <=> v102(constB117))) | v104(constB118) | (~v102(constB117))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17959,plain,
% 15.86/11.06 (v104(constB118)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17958, 17957, 17903])).
% 15.86/11.06 tff(17960,plain,
% 15.86/11.06 ((~((~v95(constB118)) | (~v104(constB118)))) | (~v95(constB118)) | (~v104(constB118))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17961,plain,
% 15.86/11.06 (~((~v95(constB118)) | (~v104(constB118)))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17960, 17959, 17899])).
% 15.86/11.06 tff(17962,plain,
% 15.86/11.06 ((~(v94(constB118) <=> (~((~v95(constB118)) | (~v104(constB118)))))) | v94(constB118) | ((~v95(constB118)) | (~v104(constB118)))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17963,plain,
% 15.86/11.06 (v94(constB118)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17962, 17961, 17871])).
% 15.86/11.06 tff(17964,plain,
% 15.86/11.06 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB118)) | (~(((~v84(constB118, 0)) <=> v123(constB118, 0)) | ((~v84(constB118, 2)) <=> v123(constB118, 2)) | ((~v84(constB118, 1)) <=> v123(constB118, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB118)) | (~(((~v84(constB118, 0)) <=> v123(constB118, 0)) | ((~v84(constB118, 2)) <=> v123(constB118, 2)) | ((~v84(constB118, 1)) <=> v123(constB118, 1)))))),
% 15.86/11.06 inference(rewrite,[status(thm)],[])).
% 15.86/11.06 tff(17965,plain,
% 15.86/11.06 (((~v94(constB118)) | (~(((~v84(constB118, 2)) <=> v123(constB118, 2)) | ((~v84(constB118, 1)) <=> v123(constB118, 1)) | ((~v84(constB118, 0)) <=> v123(constB118, 0))))) <=> ((~v94(constB118)) | (~(((~v84(constB118, 0)) <=> v123(constB118, 0)) | ((~v84(constB118, 2)) <=> v123(constB118, 2)) | ((~v84(constB118, 1)) <=> v123(constB118, 1)))))),
% 15.86/11.06 inference(rewrite,[status(thm)],[])).
% 15.86/11.06 tff(17966,plain,
% 15.86/11.06 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB118)) | (~(((~v84(constB118, 2)) <=> v123(constB118, 2)) | ((~v84(constB118, 1)) <=> v123(constB118, 1)) | ((~v84(constB118, 0)) <=> v123(constB118, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB118)) | (~(((~v84(constB118, 0)) <=> v123(constB118, 0)) | ((~v84(constB118, 2)) <=> v123(constB118, 2)) | ((~v84(constB118, 1)) <=> v123(constB118, 1))))))),
% 15.86/11.06 inference(monotonicity,[status(thm)],[17965])).
% 15.86/11.06 tff(17967,plain,
% 15.86/11.06 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB118)) | (~(((~v84(constB118, 2)) <=> v123(constB118, 2)) | ((~v84(constB118, 1)) <=> v123(constB118, 1)) | ((~v84(constB118, 0)) <=> v123(constB118, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB118)) | (~(((~v84(constB118, 0)) <=> v123(constB118, 0)) | ((~v84(constB118, 2)) <=> v123(constB118, 2)) | ((~v84(constB118, 1)) <=> v123(constB118, 1)))))),
% 15.86/11.06 inference(transitivity,[status(thm)],[17966, 17964])).
% 15.86/11.06 tff(17968,plain,
% 15.86/11.06 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB118)) | (~(((~v84(constB118, 2)) <=> v123(constB118, 2)) | ((~v84(constB118, 1)) <=> v123(constB118, 1)) | ((~v84(constB118, 0)) <=> v123(constB118, 0)))))),
% 15.86/11.06 inference(quant_inst,[status(thm)],[])).
% 15.86/11.06 tff(17969,plain,
% 15.86/11.06 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB118)) | (~(((~v84(constB118, 0)) <=> v123(constB118, 0)) | ((~v84(constB118, 2)) <=> v123(constB118, 2)) | ((~v84(constB118, 1)) <=> v123(constB118, 1))))),
% 15.86/11.06 inference(modus_ponens,[status(thm)],[17968, 17967])).
% 15.86/11.06 tff(17970,plain,
% 15.86/11.06 ((~v94(constB118)) | (~(((~v84(constB118, 0)) <=> v123(constB118, 0)) | ((~v84(constB118, 2)) <=> v123(constB118, 2)) | ((~v84(constB118, 1)) <=> v123(constB118, 1))))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17969, 2517])).
% 15.86/11.06 tff(17971,plain,
% 15.86/11.06 (~(((~v84(constB118, 0)) <=> v123(constB118, 0)) | ((~v84(constB118, 2)) <=> v123(constB118, 2)) | ((~v84(constB118, 1)) <=> v123(constB118, 1)))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17970, 17963])).
% 15.86/11.06 tff(17972,plain,
% 15.86/11.06 ((((~v84(constB118, 0)) <=> v123(constB118, 0)) | ((~v84(constB118, 2)) <=> v123(constB118, 2)) | ((~v84(constB118, 1)) <=> v123(constB118, 1))) | (~((~v84(constB118, 2)) <=> v123(constB118, 2)))),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17973,plain,
% 15.86/11.06 (~((~v84(constB118, 2)) <=> v123(constB118, 2))),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17972, 17971])).
% 15.86/11.06 tff(17974,plain,
% 15.86/11.06 (((~v84(constB118, 2)) <=> v123(constB118, 2)) | (~v84(constB118, 2)) | v123(constB118, 2)),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17975,plain,
% 15.86/11.06 (~v84(constB118, 2)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17974, 17973, 17867])).
% 15.86/11.06 tff(17976,plain,
% 15.86/11.06 (((~v84(constB119, 2)) <=> v84(constB118, 2)) | (~v84(constB119, 2)) | v84(constB118, 2)),
% 15.86/11.06 inference(tautology,[status(thm)],[])).
% 15.86/11.06 tff(17977,plain,
% 15.86/11.06 (~v84(constB119, 2)),
% 15.86/11.06 inference(unit_resolution,[status(thm)],[17976, 17975, 16048])).
% 15.86/11.07 tff(17978,plain,
% 15.86/11.07 ((((~v84(constB119, 1)) <=> v84(constB118, 1)) | ((~v84(constB119, 2)) <=> v84(constB118, 2)) | ((~v84(constB119, 0)) <=> v84(constB118, 0))) | (~((~v84(constB119, 0)) <=> v84(constB118, 0)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(17979,plain,
% 15.86/11.07 (~((~v84(constB119, 0)) <=> v84(constB118, 0))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[17978, 16046])).
% 15.86/11.07 tff(17980,plain,
% 15.86/11.07 ((((~v123(constB118, 2)) <=> v121(constB117, 2)) | ((~v123(constB118, 1)) <=> v121(constB117, 1)) | ((~v123(constB118, 0)) <=> v121(constB117, 0))) | (~((~v123(constB118, 0)) <=> v121(constB117, 0)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(17981,plain,
% 15.86/11.07 (~((~v123(constB118, 0)) <=> v121(constB117, 0))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[17980, 16055])).
% 15.86/11.07 tff(17982,plain,
% 15.86/11.07 ((((~v121(constB117, 2)) <=> v124(constB117, 2)) | ((~v121(constB117, 0)) <=> v124(constB117, 0)) | ((~v121(constB117, 1)) <=> v124(constB117, 1))) | (~((~v121(constB117, 0)) <=> v124(constB117, 0)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(17983,plain,
% 15.86/11.07 (~((~v121(constB117, 0)) <=> v124(constB117, 0))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[17982, 16069])).
% 15.86/11.07 tff(17984,plain,
% 15.86/11.07 ((v124(constB117, 2) | v124(constB117, 0) | (~v124(constB117, 1))) | (~v124(constB117, 0))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(17985,plain,
% 15.86/11.07 (~v124(constB117, 0)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[17984, 17861])).
% 15.86/11.07 tff(17986,plain,
% 15.86/11.07 (((~v121(constB117, 0)) <=> v124(constB117, 0)) | (~v121(constB117, 0)) | v124(constB117, 0)),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(17987,plain,
% 15.86/11.07 (~v121(constB117, 0)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[17986, 17985, 17983])).
% 15.86/11.07 tff(17988,plain,
% 15.86/11.07 (((~v123(constB118, 0)) <=> v121(constB117, 0)) | (~v123(constB118, 0)) | v121(constB117, 0)),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(17989,plain,
% 15.86/11.07 (~v123(constB118, 0)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[17988, 17987, 17981])).
% 15.86/11.07 tff(17990,plain,
% 15.86/11.07 ((((~v84(constB118, 0)) <=> v123(constB118, 0)) | ((~v84(constB118, 2)) <=> v123(constB118, 2)) | ((~v84(constB118, 1)) <=> v123(constB118, 1))) | (~((~v84(constB118, 0)) <=> v123(constB118, 0)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(17991,plain,
% 15.86/11.07 (~((~v84(constB118, 0)) <=> v123(constB118, 0))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[17990, 17971])).
% 15.86/11.07 tff(17992,plain,
% 15.86/11.07 (((~v84(constB118, 0)) <=> v123(constB118, 0)) | (~v84(constB118, 0)) | v123(constB118, 0)),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(17993,plain,
% 15.86/11.07 (~v84(constB118, 0)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[17992, 17991, 17989])).
% 15.86/11.07 tff(17994,plain,
% 15.86/11.07 (((~v84(constB119, 0)) <=> v84(constB118, 0)) | (~v84(constB119, 0)) | v84(constB118, 0)),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(17995,plain,
% 15.86/11.07 (~v84(constB119, 0)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[17994, 17993, 17979])).
% 15.86/11.07 tff(17996,plain,
% 15.86/11.07 ((((~v84(constB119, 1)) <=> v84(constB118, 1)) | ((~v84(constB119, 2)) <=> v84(constB118, 2)) | ((~v84(constB119, 0)) <=> v84(constB118, 0))) | (~((~v84(constB119, 1)) <=> v84(constB118, 1)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(17997,plain,
% 15.86/11.07 (~((~v84(constB119, 1)) <=> v84(constB118, 1))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[17996, 16046])).
% 15.86/11.07 tff(17998,plain,
% 15.86/11.07 ((((~v123(constB118, 2)) <=> v121(constB117, 2)) | ((~v123(constB118, 1)) <=> v121(constB117, 1)) | ((~v123(constB118, 0)) <=> v121(constB117, 0))) | (~((~v123(constB118, 1)) <=> v121(constB117, 1)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(17999,plain,
% 15.86/11.07 (~((~v123(constB118, 1)) <=> v121(constB117, 1))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[17998, 16055])).
% 15.86/11.07 tff(18000,plain,
% 15.86/11.07 ((((~v121(constB117, 2)) <=> v124(constB117, 2)) | ((~v121(constB117, 0)) <=> v124(constB117, 0)) | ((~v121(constB117, 1)) <=> v124(constB117, 1))) | (~((~v121(constB117, 1)) <=> v124(constB117, 1)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(18001,plain,
% 15.86/11.07 (~((~v121(constB117, 1)) <=> v124(constB117, 1))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18000, 16069])).
% 15.86/11.07 tff(18002,plain,
% 15.86/11.07 ((v124(constB117, 2) | v124(constB117, 0) | (~v124(constB117, 1))) | v124(constB117, 1)),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(18003,plain,
% 15.86/11.07 (v124(constB117, 1)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18002, 17861])).
% 15.86/11.07 tff(18004,plain,
% 15.86/11.07 (((~v121(constB117, 1)) <=> v124(constB117, 1)) | v121(constB117, 1) | (~v124(constB117, 1))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(18005,plain,
% 15.86/11.07 (v121(constB117, 1)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18004, 18003, 18001])).
% 15.86/11.07 tff(18006,plain,
% 15.86/11.07 (((~v123(constB118, 1)) <=> v121(constB117, 1)) | v123(constB118, 1) | (~v121(constB117, 1))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(18007,plain,
% 15.86/11.07 (v123(constB118, 1)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18006, 18005, 17999])).
% 15.86/11.07 tff(18008,plain,
% 15.86/11.07 ((((~v84(constB118, 0)) <=> v123(constB118, 0)) | ((~v84(constB118, 2)) <=> v123(constB118, 2)) | ((~v84(constB118, 1)) <=> v123(constB118, 1))) | (~((~v84(constB118, 1)) <=> v123(constB118, 1)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(18009,plain,
% 15.86/11.07 (~((~v84(constB118, 1)) <=> v123(constB118, 1))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18008, 17971])).
% 15.86/11.07 tff(18010,plain,
% 15.86/11.07 (((~v84(constB118, 1)) <=> v123(constB118, 1)) | v84(constB118, 1) | (~v123(constB118, 1))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(18011,plain,
% 15.86/11.07 (v84(constB118, 1)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18010, 18009, 18007])).
% 15.86/11.07 tff(18012,plain,
% 15.86/11.07 (((~v84(constB119, 1)) <=> v84(constB118, 1)) | v84(constB119, 1) | (~v84(constB118, 1))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(18013,plain,
% 15.86/11.07 (v84(constB119, 1)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18012, 18011, 17997])).
% 15.86/11.07 tff(18014,plain,
% 15.86/11.07 ((~(v84(constB119, 2) | v84(constB119, 0) | (~v84(constB119, 1)))) | v84(constB119, 2) | v84(constB119, 0) | (~v84(constB119, 1))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(18015,plain,
% 15.86/11.07 (~(v84(constB119, 2) | v84(constB119, 0) | (~v84(constB119, 1)))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18014, 18013, 17995, 17977])).
% 15.86/11.07 tff(18016,plain,
% 15.86/11.07 ((~(v115(constB119) <=> (~(v84(constB119, 2) | v84(constB119, 0) | (~v84(constB119, 1)))))) | v115(constB119) | (v84(constB119, 2) | v84(constB119, 0) | (~v84(constB119, 1)))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(18017,plain,
% 15.86/11.07 (v115(constB119)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18016, 18015, 16012])).
% 15.86/11.07 tff(18018,plain,
% 15.86/11.07 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB119)) | (~(v124(constB119, 2) | (~v124(constB119, 0)) | (~v124(constB119, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB119)) | (~(v124(constB119, 2) | (~v124(constB119, 0)) | (~v124(constB119, 1)))))),
% 15.86/11.07 inference(rewrite,[status(thm)],[])).
% 15.86/11.07 tff(18019,plain,
% 15.86/11.07 (((~v115(constB119)) | (~(v124(constB119, 2) | (~v124(constB119, 1)) | (~v124(constB119, 0))))) <=> ((~v115(constB119)) | (~(v124(constB119, 2) | (~v124(constB119, 0)) | (~v124(constB119, 1)))))),
% 15.86/11.07 inference(rewrite,[status(thm)],[])).
% 15.86/11.07 tff(18020,plain,
% 15.86/11.07 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB119)) | (~(v124(constB119, 2) | (~v124(constB119, 1)) | (~v124(constB119, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB119)) | (~(v124(constB119, 2) | (~v124(constB119, 0)) | (~v124(constB119, 1))))))),
% 15.86/11.07 inference(monotonicity,[status(thm)],[18019])).
% 15.86/11.07 tff(18021,plain,
% 15.86/11.07 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB119)) | (~(v124(constB119, 2) | (~v124(constB119, 1)) | (~v124(constB119, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB119)) | (~(v124(constB119, 2) | (~v124(constB119, 0)) | (~v124(constB119, 1)))))),
% 15.86/11.07 inference(transitivity,[status(thm)],[18020, 18018])).
% 15.86/11.07 tff(18022,plain,
% 15.86/11.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB119)) | (~(v124(constB119, 2) | (~v124(constB119, 1)) | (~v124(constB119, 0)))))),
% 15.86/11.07 inference(quant_inst,[status(thm)],[])).
% 15.86/11.07 tff(18023,plain,
% 15.86/11.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB119)) | (~(v124(constB119, 2) | (~v124(constB119, 0)) | (~v124(constB119, 1))))),
% 15.86/11.07 inference(modus_ponens,[status(thm)],[18022, 18021])).
% 15.86/11.07 tff(18024,plain,
% 15.86/11.07 ((~v115(constB119)) | (~(v124(constB119, 2) | (~v124(constB119, 0)) | (~v124(constB119, 1))))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18023, 3138])).
% 15.86/11.07 tff(18025,plain,
% 15.86/11.07 (~(v124(constB119, 2) | (~v124(constB119, 0)) | (~v124(constB119, 1)))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18024, 18017])).
% 15.86/11.07 tff(18026,plain,
% 15.86/11.07 ((v124(constB119, 2) | (~v124(constB119, 0)) | (~v124(constB119, 1))) | (~v124(constB119, 2))),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(18027,plain,
% 15.86/11.07 (~v124(constB119, 2)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18026, 18025])).
% 15.86/11.07 tff(18028,plain,
% 15.86/11.07 (((~v121(constB119, 2)) <=> v124(constB119, 2)) | (~v121(constB119, 2)) | v124(constB119, 2)),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(18029,plain,
% 15.86/11.07 (~v121(constB119, 2)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18028, 18027, 16005])).
% 15.86/11.07 tff(18030,plain,
% 15.86/11.07 (((~v123(constB120, 2)) <=> v121(constB119, 2)) | (~v123(constB120, 2)) | v121(constB119, 2)),
% 15.86/11.07 inference(tautology,[status(thm)],[])).
% 15.86/11.07 tff(18031,plain,
% 15.86/11.07 (~v123(constB120, 2)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18030, 18029, 15991])).
% 15.86/11.07 tff(18032,plain,
% 15.86/11.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB119, constB120)) | (v94(constB120) <=> (~((~v95(constB120)) | (~v104(constB120))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB119, constB120)) | (v94(constB120) <=> (~((~v95(constB120)) | (~v104(constB120))))))),
% 15.86/11.07 inference(rewrite,[status(thm)],[])).
% 15.86/11.07 tff(18033,plain,
% 15.86/11.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB119, constB120)) | (v94(constB120) <=> (~((~v95(constB120)) | (~v104(constB120))))))),
% 15.86/11.07 inference(quant_inst,[status(thm)],[])).
% 15.86/11.07 tff(18034,plain,
% 15.86/11.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB119, constB120)) | (v94(constB120) <=> (~((~v95(constB120)) | (~v104(constB120)))))),
% 15.86/11.07 inference(modus_ponens,[status(thm)],[18033, 18032])).
% 15.86/11.07 tff(18035,plain,
% 15.86/11.07 (v94(constB120) <=> (~((~v95(constB120)) | (~v104(constB120))))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18034, 15985, 770])).
% 15.86/11.07 tff(18036,plain,
% 15.86/11.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120))))))),
% 15.86/11.07 inference(rewrite,[status(thm)],[])).
% 15.86/11.07 tff(18037,plain,
% 15.86/11.07 (((~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v96(constB120)) | (~v1(constB120)))))) <=> ((~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120))))))),
% 15.86/11.07 inference(rewrite,[status(thm)],[])).
% 15.86/11.07 tff(18038,plain,
% 15.86/11.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v96(constB120)) | (~v1(constB120))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120)))))))),
% 15.86/11.07 inference(monotonicity,[status(thm)],[18037])).
% 15.86/11.07 tff(18039,plain,
% 15.86/11.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v96(constB120)) | (~v1(constB120))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120))))))),
% 15.86/11.07 inference(transitivity,[status(thm)],[18038, 18036])).
% 15.86/11.07 tff(18040,plain,
% 15.86/11.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v96(constB120)) | (~v1(constB120))))))),
% 15.86/11.07 inference(quant_inst,[status(thm)],[])).
% 15.86/11.07 tff(18041,plain,
% 15.86/11.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120)))))),
% 15.86/11.07 inference(modus_ponens,[status(thm)],[18040, 18039])).
% 15.86/11.07 tff(18042,plain,
% 15.86/11.07 (v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120))))),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18041, 15985, 790])).
% 15.86/11.07 tff(18043,plain,
% 15.86/11.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB119, constB120)) | ((~v96(constB120)) <=> v98(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB119, constB120)) | ((~v96(constB120)) <=> v98(constB120)))),
% 15.86/11.07 inference(rewrite,[status(thm)],[])).
% 15.86/11.07 tff(18044,plain,
% 15.86/11.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB119, constB120)) | ((~v96(constB120)) <=> v98(constB120)))),
% 15.86/11.07 inference(quant_inst,[status(thm)],[])).
% 15.86/11.07 tff(18045,plain,
% 15.86/11.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB119, constB120)) | ((~v96(constB120)) <=> v98(constB120))),
% 15.86/11.07 inference(modus_ponens,[status(thm)],[18044, 18043])).
% 15.86/11.07 tff(18046,plain,
% 15.86/11.07 ((~v96(constB120)) <=> v98(constB120)),
% 15.86/11.07 inference(unit_resolution,[status(thm)],[18045, 15985, 2332])).
% 15.86/11.07 tff(18047,plain,
% 15.86/11.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB119, constB120)) | (v98(constB120) <=> v1(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB119, constB120)) | (v98(constB120) <=> v1(constB119)))),
% 15.86/11.07 inference(rewrite,[status(thm)],[])).
% 15.86/11.07 tff(18048,plain,
% 15.86/11.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB119, constB120)) | (v98(constB120) <=> v1(constB119)))),
% 15.86/11.07 inference(quant_inst,[status(thm)],[])).
% 15.86/11.07 tff(18049,plain,
% 15.86/11.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB119, constB120)) | (v98(constB120) <=> v1(constB119))),
% 15.86/11.07 inference(modus_ponens,[status(thm)],[18048, 18047])).
% 15.86/11.07 tff(18050,plain,
% 15.86/11.08 (v98(constB120) <=> v1(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18049, 15985, 2346])).
% 15.86/11.08 tff(18051,plain,
% 15.86/11.08 ((~(v98(constB120) <=> v1(constB119))) | (~v98(constB120)) | v1(constB119)),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18052,plain,
% 15.86/11.08 ((~(v98(constB120) <=> v1(constB119))) | (~v98(constB120))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18051, 16029])).
% 15.86/11.08 tff(18053,plain,
% 15.86/11.08 (~v98(constB120)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18052, 18050])).
% 15.86/11.08 tff(18054,plain,
% 15.86/11.08 ((~((~v96(constB120)) <=> v98(constB120))) | v96(constB120) | v98(constB120)),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18055,plain,
% 15.86/11.08 (v96(constB120)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18054, 18053, 18046])).
% 15.86/11.08 tff(18056,plain,
% 15.86/11.08 (v1(constB120) <=> v1(constB120)),
% 15.86/11.08 inference(rewrite,[status(thm)],[])).
% 15.86/11.08 tff(18057,axiom,(v1(constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_120')).
% 15.86/11.08 tff(18058,plain,
% 15.86/11.08 (v1(constB120)),
% 15.86/11.08 inference(modus_ponens,[status(thm)],[18057, 18056])).
% 15.86/11.08 tff(18059,plain,
% 15.86/11.08 ((~((~v1(constB120)) | (~v96(constB120)))) | (~v1(constB120)) | (~v96(constB120))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18060,plain,
% 15.86/11.08 ((~((~v1(constB120)) | (~v96(constB120)))) | (~v96(constB120))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18059, 18058])).
% 15.86/11.08 tff(18061,plain,
% 15.86/11.08 (~((~v1(constB120)) | (~v96(constB120)))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18060, 18055])).
% 15.86/11.08 tff(18062,plain,
% 15.86/11.08 ((~(v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120)))))) | v95(constB120) | ((~v1(constB120)) | (~v96(constB120)))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18063,plain,
% 15.86/11.08 (v95(constB120)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18062, 18061, 18042])).
% 15.86/11.08 tff(18064,plain,
% 15.86/11.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB119, constB120)) | (v104(constB120) <=> v102(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB119, constB120)) | (v104(constB120) <=> v102(constB119)))),
% 15.86/11.08 inference(rewrite,[status(thm)],[])).
% 15.86/11.08 tff(18065,plain,
% 15.86/11.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB119, constB120)) | (v104(constB120) <=> v102(constB119)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(18066,plain,
% 15.86/11.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB119, constB120)) | (v104(constB120) <=> v102(constB119))),
% 15.86/11.08 inference(modus_ponens,[status(thm)],[18065, 18064])).
% 15.86/11.08 tff(18067,plain,
% 15.86/11.08 (v104(constB120) <=> v102(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18066, 15985, 2373])).
% 15.86/11.08 tff(18068,plain,
% 15.86/11.08 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB119) <=> (v105(constB119) | v106(constB119)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(18069,plain,
% 15.86/11.08 (v102(constB119) <=> (v105(constB119) | v106(constB119))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18068, 2384])).
% 15.86/11.08 tff(18070,plain,
% 15.86/11.08 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB119) <=> (~((~v107(constB119)) | (~v120(constB119)))))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(18071,plain,
% 15.86/11.08 (v106(constB119) <=> (~((~v107(constB119)) | (~v120(constB119))))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18070, 2396])).
% 15.86/11.08 tff(18072,plain,
% 15.86/11.08 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB119) <=> (v108(constB119) | v119(constB119)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(18073,plain,
% 15.86/11.08 (v107(constB119) <=> (v108(constB119) | v119(constB119))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18072, 2405])).
% 15.86/11.08 tff(18074,plain,
% 15.86/11.08 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB119) <=> (v109(constB119) | v118(constB119)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(18075,plain,
% 15.86/11.08 (v108(constB119) <=> (v109(constB119) | v118(constB119))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18074, 2414])).
% 15.86/11.08 tff(18076,plain,
% 15.86/11.08 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB119) <=> (v110(constB119) | v117(constB119)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(18077,plain,
% 15.86/11.08 (v109(constB119) <=> (v110(constB119) | v117(constB119))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18076, 2423])).
% 15.86/11.08 tff(18078,plain,
% 15.86/11.08 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB119) <=> (v111(constB119) | v116(constB119)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(18079,plain,
% 15.86/11.08 (v110(constB119) <=> (v111(constB119) | v116(constB119))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18078, 2432])).
% 15.86/11.08 tff(18080,plain,
% 15.86/11.08 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB119) <=> (v112(constB119) | v115(constB119)))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(18081,plain,
% 15.86/11.08 (v111(constB119) <=> (v112(constB119) | v115(constB119))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18080, 2441])).
% 15.86/11.08 tff(18082,plain,
% 15.86/11.08 ((v112(constB119) | v115(constB119)) | (~v115(constB119))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18083,plain,
% 15.86/11.08 (v112(constB119) | v115(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18082, 18017])).
% 15.86/11.08 tff(18084,plain,
% 15.86/11.08 ((~(v111(constB119) <=> (v112(constB119) | v115(constB119)))) | v111(constB119) | (~(v112(constB119) | v115(constB119)))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18085,plain,
% 15.86/11.08 (v111(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18084, 18083, 18081])).
% 15.86/11.08 tff(18086,plain,
% 15.86/11.08 ((v111(constB119) | v116(constB119)) | (~v111(constB119))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18087,plain,
% 15.86/11.08 (v111(constB119) | v116(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18086, 18085])).
% 15.86/11.08 tff(18088,plain,
% 15.86/11.08 ((~(v110(constB119) <=> (v111(constB119) | v116(constB119)))) | v110(constB119) | (~(v111(constB119) | v116(constB119)))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18089,plain,
% 15.86/11.08 (v110(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18088, 18087, 18079])).
% 15.86/11.08 tff(18090,plain,
% 15.86/11.08 ((v110(constB119) | v117(constB119)) | (~v110(constB119))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18091,plain,
% 15.86/11.08 (v110(constB119) | v117(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18090, 18089])).
% 15.86/11.08 tff(18092,plain,
% 15.86/11.08 ((~(v109(constB119) <=> (v110(constB119) | v117(constB119)))) | v109(constB119) | (~(v110(constB119) | v117(constB119)))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18093,plain,
% 15.86/11.08 (v109(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18092, 18091, 18077])).
% 15.86/11.08 tff(18094,plain,
% 15.86/11.08 ((v109(constB119) | v118(constB119)) | (~v109(constB119))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18095,plain,
% 15.86/11.08 (v109(constB119) | v118(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18094, 18093])).
% 15.86/11.08 tff(18096,plain,
% 15.86/11.08 ((~(v108(constB119) <=> (v109(constB119) | v118(constB119)))) | v108(constB119) | (~(v109(constB119) | v118(constB119)))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18097,plain,
% 15.86/11.08 (v108(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18096, 18095, 18075])).
% 15.86/11.08 tff(18098,plain,
% 15.86/11.08 ((v108(constB119) | v119(constB119)) | (~v108(constB119))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18099,plain,
% 15.86/11.08 (v108(constB119) | v119(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18098, 18097])).
% 15.86/11.08 tff(18100,plain,
% 15.86/11.08 ((~(v107(constB119) <=> (v108(constB119) | v119(constB119)))) | v107(constB119) | (~(v108(constB119) | v119(constB119)))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18101,plain,
% 15.86/11.08 (v107(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18100, 18099, 18073])).
% 15.86/11.08 tff(18102,plain,
% 15.86/11.08 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB119)) <=> v105(constB119))),
% 15.86/11.08 inference(quant_inst,[status(thm)],[])).
% 15.86/11.08 tff(18103,plain,
% 15.86/11.08 ((~v120(constB119)) <=> v105(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18102, 2484])).
% 15.86/11.08 tff(18104,plain,
% 15.86/11.08 ((~((~v120(constB119)) <=> v105(constB119))) | v120(constB119) | v105(constB119)),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18105,plain,
% 15.86/11.08 ((~((~v120(constB119)) <=> v105(constB119))) | v120(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18104, 15998])).
% 15.86/11.08 tff(18106,plain,
% 15.86/11.08 (v120(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18105, 18103])).
% 15.86/11.08 tff(18107,plain,
% 15.86/11.08 ((~((~v107(constB119)) | (~v120(constB119)))) | (~v107(constB119)) | (~v120(constB119))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18108,plain,
% 15.86/11.08 ((~((~v107(constB119)) | (~v120(constB119)))) | (~v107(constB119))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18107, 18106])).
% 15.86/11.08 tff(18109,plain,
% 15.86/11.08 (~((~v107(constB119)) | (~v120(constB119)))),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18108, 18101])).
% 15.86/11.08 tff(18110,plain,
% 15.86/11.08 ((~(v106(constB119) <=> (~((~v107(constB119)) | (~v120(constB119)))))) | v106(constB119) | ((~v107(constB119)) | (~v120(constB119)))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18111,plain,
% 15.86/11.08 (v106(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18110, 18109, 18071])).
% 15.86/11.08 tff(18112,plain,
% 15.86/11.08 ((v105(constB119) | v106(constB119)) | (~v106(constB119))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18113,plain,
% 15.86/11.08 (v105(constB119) | v106(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18112, 18111])).
% 15.86/11.08 tff(18114,plain,
% 15.86/11.08 ((~(v102(constB119) <=> (v105(constB119) | v106(constB119)))) | v102(constB119) | (~(v105(constB119) | v106(constB119)))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.86/11.08 tff(18115,plain,
% 15.86/11.08 (v102(constB119)),
% 15.86/11.08 inference(unit_resolution,[status(thm)],[18114, 18113, 18069])).
% 15.86/11.08 tff(18116,plain,
% 15.86/11.08 ((~(v104(constB120) <=> v102(constB119))) | v104(constB120) | (~v102(constB119))),
% 15.86/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18117,plain,
% 15.95/11.08 (v104(constB120)),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18116, 18115, 18067])).
% 15.95/11.08 tff(18118,plain,
% 15.95/11.08 ((~((~v95(constB120)) | (~v104(constB120)))) | (~v95(constB120)) | (~v104(constB120))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18119,plain,
% 15.95/11.08 (~((~v95(constB120)) | (~v104(constB120)))),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18118, 18117, 18063])).
% 15.95/11.08 tff(18120,plain,
% 15.95/11.08 ((~(v94(constB120) <=> (~((~v95(constB120)) | (~v104(constB120)))))) | v94(constB120) | ((~v95(constB120)) | (~v104(constB120)))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18121,plain,
% 15.95/11.08 (v94(constB120)),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18120, 18119, 18035])).
% 15.95/11.08 tff(18122,plain,
% 15.95/11.08 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB120)) | (~(((~v84(constB120, 2)) <=> v123(constB120, 2)) | ((~v84(constB120, 1)) <=> v123(constB120, 1)) | ((~v84(constB120, 0)) <=> v123(constB120, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB120)) | (~(((~v84(constB120, 2)) <=> v123(constB120, 2)) | ((~v84(constB120, 1)) <=> v123(constB120, 1)) | ((~v84(constB120, 0)) <=> v123(constB120, 0)))))),
% 15.95/11.08 inference(rewrite,[status(thm)],[])).
% 15.95/11.08 tff(18123,plain,
% 15.95/11.08 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB120)) | (~(((~v84(constB120, 2)) <=> v123(constB120, 2)) | ((~v84(constB120, 1)) <=> v123(constB120, 1)) | ((~v84(constB120, 0)) <=> v123(constB120, 0)))))),
% 15.95/11.08 inference(quant_inst,[status(thm)],[])).
% 15.95/11.08 tff(18124,plain,
% 15.95/11.08 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB120)) | (~(((~v84(constB120, 2)) <=> v123(constB120, 2)) | ((~v84(constB120, 1)) <=> v123(constB120, 1)) | ((~v84(constB120, 0)) <=> v123(constB120, 0))))),
% 15.95/11.08 inference(modus_ponens,[status(thm)],[18123, 18122])).
% 15.95/11.08 tff(18125,plain,
% 15.95/11.08 ((~v94(constB120)) | (~(((~v84(constB120, 2)) <=> v123(constB120, 2)) | ((~v84(constB120, 1)) <=> v123(constB120, 1)) | ((~v84(constB120, 0)) <=> v123(constB120, 0))))),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18124, 2517])).
% 15.95/11.08 tff(18126,plain,
% 15.95/11.08 (~(((~v84(constB120, 2)) <=> v123(constB120, 2)) | ((~v84(constB120, 1)) <=> v123(constB120, 1)) | ((~v84(constB120, 0)) <=> v123(constB120, 0)))),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18125, 18121])).
% 15.95/11.08 tff(18127,plain,
% 15.95/11.08 ((((~v84(constB120, 2)) <=> v123(constB120, 2)) | ((~v84(constB120, 1)) <=> v123(constB120, 1)) | ((~v84(constB120, 0)) <=> v123(constB120, 0))) | (~((~v84(constB120, 2)) <=> v123(constB120, 2)))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18128,plain,
% 15.95/11.08 (~((~v84(constB120, 2)) <=> v123(constB120, 2))),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18127, 18126])).
% 15.95/11.08 tff(18129,plain,
% 15.95/11.08 (((~v84(constB120, 2)) <=> v123(constB120, 2)) | (~v84(constB120, 2)) | v123(constB120, 2)),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18130,plain,
% 15.95/11.08 (~v84(constB120, 2)),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18129, 18128, 18031])).
% 15.95/11.08 tff(18131,plain,
% 15.95/11.08 (((~v84(constB121, 2)) <=> v84(constB120, 2)) | (~v84(constB121, 2)) | v84(constB120, 2)),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18132,plain,
% 15.95/11.08 (~v84(constB121, 2)),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18131, 18130, 15982])).
% 15.95/11.08 tff(18133,plain,
% 15.95/11.08 ((((~v84(constB121, 1)) <=> v84(constB120, 1)) | ((~v84(constB121, 2)) <=> v84(constB120, 2)) | ((~v84(constB121, 0)) <=> v84(constB120, 0))) | (~((~v84(constB121, 0)) <=> v84(constB120, 0)))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18134,plain,
% 15.95/11.08 (~((~v84(constB121, 0)) <=> v84(constB120, 0))),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18133, 15980])).
% 15.95/11.08 tff(18135,plain,
% 15.95/11.08 ((((~v123(constB120, 2)) <=> v121(constB119, 2)) | ((~v123(constB120, 1)) <=> v121(constB119, 1)) | ((~v123(constB120, 0)) <=> v121(constB119, 0))) | (~((~v123(constB120, 0)) <=> v121(constB119, 0)))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18136,plain,
% 15.95/11.08 (~((~v123(constB120, 0)) <=> v121(constB119, 0))),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18135, 15989])).
% 15.95/11.08 tff(18137,plain,
% 15.95/11.08 ((((~v121(constB119, 2)) <=> v124(constB119, 2)) | ((~v121(constB119, 0)) <=> v124(constB119, 0)) | ((~v121(constB119, 1)) <=> v124(constB119, 1))) | (~((~v121(constB119, 0)) <=> v124(constB119, 0)))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18138,plain,
% 15.95/11.08 (~((~v121(constB119, 0)) <=> v124(constB119, 0))),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18137, 16003])).
% 15.95/11.08 tff(18139,plain,
% 15.95/11.08 ((v124(constB119, 2) | (~v124(constB119, 0)) | (~v124(constB119, 1))) | v124(constB119, 0)),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18140,plain,
% 15.95/11.08 (v124(constB119, 0)),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18139, 18025])).
% 15.95/11.08 tff(18141,plain,
% 15.95/11.08 (((~v121(constB119, 0)) <=> v124(constB119, 0)) | v121(constB119, 0) | (~v124(constB119, 0))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18142,plain,
% 15.95/11.08 (v121(constB119, 0)),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18141, 18140, 18138])).
% 15.95/11.08 tff(18143,plain,
% 15.95/11.08 (((~v123(constB120, 0)) <=> v121(constB119, 0)) | v123(constB120, 0) | (~v121(constB119, 0))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18144,plain,
% 15.95/11.08 (v123(constB120, 0)),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18143, 18142, 18136])).
% 15.95/11.08 tff(18145,plain,
% 15.95/11.08 ((((~v84(constB120, 2)) <=> v123(constB120, 2)) | ((~v84(constB120, 1)) <=> v123(constB120, 1)) | ((~v84(constB120, 0)) <=> v123(constB120, 0))) | (~((~v84(constB120, 0)) <=> v123(constB120, 0)))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18146,plain,
% 15.95/11.08 (~((~v84(constB120, 0)) <=> v123(constB120, 0))),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18145, 18126])).
% 15.95/11.08 tff(18147,plain,
% 15.95/11.08 (((~v84(constB120, 0)) <=> v123(constB120, 0)) | v84(constB120, 0) | (~v123(constB120, 0))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18148,plain,
% 15.95/11.08 (v84(constB120, 0)),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18147, 18146, 18144])).
% 15.95/11.08 tff(18149,plain,
% 15.95/11.08 (((~v84(constB121, 0)) <=> v84(constB120, 0)) | v84(constB121, 0) | (~v84(constB120, 0))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18150,plain,
% 15.95/11.08 (v84(constB121, 0)),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18149, 18148, 18134])).
% 15.95/11.08 tff(18151,plain,
% 15.95/11.08 ((((~v84(constB121, 1)) <=> v84(constB120, 1)) | ((~v84(constB121, 2)) <=> v84(constB120, 2)) | ((~v84(constB121, 0)) <=> v84(constB120, 0))) | (~((~v84(constB121, 1)) <=> v84(constB120, 1)))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18152,plain,
% 15.95/11.08 (~((~v84(constB121, 1)) <=> v84(constB120, 1))),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18151, 15980])).
% 15.95/11.08 tff(18153,plain,
% 15.95/11.08 ((((~v123(constB120, 2)) <=> v121(constB119, 2)) | ((~v123(constB120, 1)) <=> v121(constB119, 1)) | ((~v123(constB120, 0)) <=> v121(constB119, 0))) | (~((~v123(constB120, 1)) <=> v121(constB119, 1)))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18154,plain,
% 15.95/11.08 (~((~v123(constB120, 1)) <=> v121(constB119, 1))),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18153, 15989])).
% 15.95/11.08 tff(18155,plain,
% 15.95/11.08 ((((~v121(constB119, 2)) <=> v124(constB119, 2)) | ((~v121(constB119, 0)) <=> v124(constB119, 0)) | ((~v121(constB119, 1)) <=> v124(constB119, 1))) | (~((~v121(constB119, 1)) <=> v124(constB119, 1)))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18156,plain,
% 15.95/11.08 (~((~v121(constB119, 1)) <=> v124(constB119, 1))),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18155, 16003])).
% 15.95/11.08 tff(18157,plain,
% 15.95/11.08 ((v124(constB119, 2) | (~v124(constB119, 0)) | (~v124(constB119, 1))) | v124(constB119, 1)),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18158,plain,
% 15.95/11.08 (v124(constB119, 1)),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18157, 18025])).
% 15.95/11.08 tff(18159,plain,
% 15.95/11.08 (((~v121(constB119, 1)) <=> v124(constB119, 1)) | v121(constB119, 1) | (~v124(constB119, 1))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18160,plain,
% 15.95/11.08 (v121(constB119, 1)),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18159, 18158, 18156])).
% 15.95/11.08 tff(18161,plain,
% 15.95/11.08 (((~v123(constB120, 1)) <=> v121(constB119, 1)) | v123(constB120, 1) | (~v121(constB119, 1))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18162,plain,
% 15.95/11.08 (v123(constB120, 1)),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18161, 18160, 18154])).
% 15.95/11.08 tff(18163,plain,
% 15.95/11.08 ((((~v84(constB120, 2)) <=> v123(constB120, 2)) | ((~v84(constB120, 1)) <=> v123(constB120, 1)) | ((~v84(constB120, 0)) <=> v123(constB120, 0))) | (~((~v84(constB120, 1)) <=> v123(constB120, 1)))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18164,plain,
% 15.95/11.08 (~((~v84(constB120, 1)) <=> v123(constB120, 1))),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18163, 18126])).
% 15.95/11.08 tff(18165,plain,
% 15.95/11.08 (((~v84(constB120, 1)) <=> v123(constB120, 1)) | v84(constB120, 1) | (~v123(constB120, 1))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18166,plain,
% 15.95/11.08 (v84(constB120, 1)),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18165, 18164, 18162])).
% 15.95/11.08 tff(18167,plain,
% 15.95/11.08 (((~v84(constB121, 1)) <=> v84(constB120, 1)) | v84(constB121, 1) | (~v84(constB120, 1))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18168,plain,
% 15.95/11.08 (v84(constB121, 1)),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18167, 18166, 18152])).
% 15.95/11.08 tff(18169,plain,
% 15.95/11.08 ((~(v84(constB121, 2) | (~v84(constB121, 1)) | (~v84(constB121, 0)))) | v84(constB121, 2) | (~v84(constB121, 1)) | (~v84(constB121, 0))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18170,plain,
% 15.95/11.08 (~(v84(constB121, 2) | (~v84(constB121, 1)) | (~v84(constB121, 0)))),
% 15.95/11.08 inference(unit_resolution,[status(thm)],[18169, 18168, 18150, 18132])).
% 15.95/11.08 tff(18171,plain,
% 15.95/11.08 ((~(v116(constB121) <=> (~(v84(constB121, 2) | (~v84(constB121, 1)) | (~v84(constB121, 0)))))) | v116(constB121) | (v84(constB121, 2) | (~v84(constB121, 1)) | (~v84(constB121, 0)))),
% 15.95/11.08 inference(tautology,[status(thm)],[])).
% 15.95/11.08 tff(18172,plain,
% 15.95/11.09 (v116(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18171, 18170, 15946])).
% 15.95/11.09 tff(18173,plain,
% 15.95/11.09 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB121)) | (~(v124(constB121, 0) | v124(constB121, 1) | (~v124(constB121, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB121)) | (~(v124(constB121, 0) | v124(constB121, 1) | (~v124(constB121, 2)))))),
% 15.95/11.09 inference(rewrite,[status(thm)],[])).
% 15.95/11.09 tff(18174,plain,
% 15.95/11.09 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB121)) | (~(v124(constB121, 0) | v124(constB121, 1) | (~v124(constB121, 2)))))),
% 15.95/11.09 inference(quant_inst,[status(thm)],[])).
% 15.95/11.09 tff(18175,plain,
% 15.95/11.09 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB121)) | (~(v124(constB121, 0) | v124(constB121, 1) | (~v124(constB121, 2))))),
% 15.95/11.09 inference(modus_ponens,[status(thm)],[18174, 18173])).
% 15.95/11.09 tff(18176,plain,
% 15.95/11.09 ((~v116(constB121)) | (~(v124(constB121, 0) | v124(constB121, 1) | (~v124(constB121, 2))))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18175, 3309])).
% 15.95/11.09 tff(18177,plain,
% 15.95/11.09 (~(v124(constB121, 0) | v124(constB121, 1) | (~v124(constB121, 2)))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18176, 18172])).
% 15.95/11.09 tff(18178,plain,
% 15.95/11.09 ((v124(constB121, 0) | v124(constB121, 1) | (~v124(constB121, 2))) | v124(constB121, 2)),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18179,plain,
% 15.95/11.09 (v124(constB121, 2)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18178, 18177])).
% 15.95/11.09 tff(18180,plain,
% 15.95/11.09 (((~v121(constB121, 2)) <=> v124(constB121, 2)) | v121(constB121, 2) | (~v124(constB121, 2))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18181,plain,
% 15.95/11.09 (v121(constB121, 2)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18180, 18179, 15944])).
% 15.95/11.09 tff(18182,plain,
% 15.95/11.09 (((~v123(constB122, 2)) <=> v121(constB121, 2)) | v123(constB122, 2) | (~v121(constB121, 2))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18183,plain,
% 15.95/11.09 (v123(constB122, 2)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18182, 18181, 15930])).
% 15.95/11.09 tff(18184,plain,
% 15.95/11.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB121, constB122)) | (v94(constB122) <=> (~((~v95(constB122)) | (~v104(constB122))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB121, constB122)) | (v94(constB122) <=> (~((~v95(constB122)) | (~v104(constB122))))))),
% 15.95/11.09 inference(rewrite,[status(thm)],[])).
% 15.95/11.09 tff(18185,plain,
% 15.95/11.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB121, constB122)) | (v94(constB122) <=> (~((~v95(constB122)) | (~v104(constB122))))))),
% 15.95/11.09 inference(quant_inst,[status(thm)],[])).
% 15.95/11.09 tff(18186,plain,
% 15.95/11.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB121, constB122)) | (v94(constB122) <=> (~((~v95(constB122)) | (~v104(constB122)))))),
% 15.95/11.09 inference(modus_ponens,[status(thm)],[18185, 18184])).
% 15.95/11.09 tff(18187,plain,
% 15.95/11.09 (v94(constB122) <=> (~((~v95(constB122)) | (~v104(constB122))))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18186, 15924, 770])).
% 15.95/11.09 tff(18188,plain,
% 15.95/11.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122))))))),
% 15.95/11.09 inference(rewrite,[status(thm)],[])).
% 15.95/11.09 tff(18189,plain,
% 15.95/11.09 (((~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v96(constB122)) | (~v1(constB122)))))) <=> ((~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122))))))),
% 15.95/11.09 inference(rewrite,[status(thm)],[])).
% 15.95/11.09 tff(18190,plain,
% 15.95/11.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v96(constB122)) | (~v1(constB122))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122)))))))),
% 15.95/11.09 inference(monotonicity,[status(thm)],[18189])).
% 15.95/11.09 tff(18191,plain,
% 15.95/11.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v96(constB122)) | (~v1(constB122))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122))))))),
% 15.95/11.09 inference(transitivity,[status(thm)],[18190, 18188])).
% 15.95/11.09 tff(18192,plain,
% 15.95/11.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v96(constB122)) | (~v1(constB122))))))),
% 15.95/11.09 inference(quant_inst,[status(thm)],[])).
% 15.95/11.09 tff(18193,plain,
% 15.95/11.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122)))))),
% 15.95/11.09 inference(modus_ponens,[status(thm)],[18192, 18191])).
% 15.95/11.09 tff(18194,plain,
% 15.95/11.09 (v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122))))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18193, 15924, 790])).
% 15.95/11.09 tff(18195,plain,
% 15.95/11.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB121, constB122)) | ((~v96(constB122)) <=> v98(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB121, constB122)) | ((~v96(constB122)) <=> v98(constB122)))),
% 15.95/11.09 inference(rewrite,[status(thm)],[])).
% 15.95/11.09 tff(18196,plain,
% 15.95/11.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB121, constB122)) | ((~v96(constB122)) <=> v98(constB122)))),
% 15.95/11.09 inference(quant_inst,[status(thm)],[])).
% 15.95/11.09 tff(18197,plain,
% 15.95/11.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB121, constB122)) | ((~v96(constB122)) <=> v98(constB122))),
% 15.95/11.09 inference(modus_ponens,[status(thm)],[18196, 18195])).
% 15.95/11.09 tff(18198,plain,
% 15.95/11.09 ((~v96(constB122)) <=> v98(constB122)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18197, 15924, 2332])).
% 15.95/11.09 tff(18199,plain,
% 15.95/11.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB121, constB122)) | (v98(constB122) <=> v1(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB121, constB122)) | (v98(constB122) <=> v1(constB121)))),
% 15.95/11.09 inference(rewrite,[status(thm)],[])).
% 15.95/11.09 tff(18200,plain,
% 15.95/11.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB121, constB122)) | (v98(constB122) <=> v1(constB121)))),
% 15.95/11.09 inference(quant_inst,[status(thm)],[])).
% 15.95/11.09 tff(18201,plain,
% 15.95/11.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB121, constB122)) | (v98(constB122) <=> v1(constB121))),
% 15.95/11.09 inference(modus_ponens,[status(thm)],[18200, 18199])).
% 15.95/11.09 tff(18202,plain,
% 15.95/11.09 (v98(constB122) <=> v1(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18201, 15924, 2346])).
% 15.95/11.09 tff(18203,plain,
% 15.95/11.09 ((~(v98(constB122) <=> v1(constB121))) | (~v98(constB122)) | v1(constB121)),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18204,plain,
% 15.95/11.09 ((~(v98(constB122) <=> v1(constB121))) | (~v98(constB122))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18203, 15963])).
% 15.95/11.09 tff(18205,plain,
% 15.95/11.09 (~v98(constB122)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18204, 18202])).
% 15.95/11.09 tff(18206,plain,
% 15.95/11.09 ((~((~v96(constB122)) <=> v98(constB122))) | v96(constB122) | v98(constB122)),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18207,plain,
% 15.95/11.09 (v96(constB122)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18206, 18205, 18198])).
% 15.95/11.09 tff(18208,plain,
% 15.95/11.09 (v1(constB122) <=> v1(constB122)),
% 15.95/11.09 inference(rewrite,[status(thm)],[])).
% 15.95/11.09 tff(18209,axiom,(v1(constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_122')).
% 15.95/11.09 tff(18210,plain,
% 15.95/11.09 (v1(constB122)),
% 15.95/11.09 inference(modus_ponens,[status(thm)],[18209, 18208])).
% 15.95/11.09 tff(18211,plain,
% 15.95/11.09 ((~((~v1(constB122)) | (~v96(constB122)))) | (~v1(constB122)) | (~v96(constB122))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18212,plain,
% 15.95/11.09 ((~((~v1(constB122)) | (~v96(constB122)))) | (~v96(constB122))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18211, 18210])).
% 15.95/11.09 tff(18213,plain,
% 15.95/11.09 (~((~v1(constB122)) | (~v96(constB122)))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18212, 18207])).
% 15.95/11.09 tff(18214,plain,
% 15.95/11.09 ((~(v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122)))))) | v95(constB122) | ((~v1(constB122)) | (~v96(constB122)))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18215,plain,
% 15.95/11.09 (v95(constB122)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18214, 18213, 18194])).
% 15.95/11.09 tff(18216,plain,
% 15.95/11.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB121, constB122)) | (v104(constB122) <=> v102(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB121, constB122)) | (v104(constB122) <=> v102(constB121)))),
% 15.95/11.09 inference(rewrite,[status(thm)],[])).
% 15.95/11.09 tff(18217,plain,
% 15.95/11.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB121, constB122)) | (v104(constB122) <=> v102(constB121)))),
% 15.95/11.09 inference(quant_inst,[status(thm)],[])).
% 15.95/11.09 tff(18218,plain,
% 15.95/11.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB121, constB122)) | (v104(constB122) <=> v102(constB121))),
% 15.95/11.09 inference(modus_ponens,[status(thm)],[18217, 18216])).
% 15.95/11.09 tff(18219,plain,
% 15.95/11.09 (v104(constB122) <=> v102(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18218, 15924, 2373])).
% 15.95/11.09 tff(18220,plain,
% 15.95/11.09 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB121) <=> (v105(constB121) | v106(constB121)))),
% 15.95/11.09 inference(quant_inst,[status(thm)],[])).
% 15.95/11.09 tff(18221,plain,
% 15.95/11.09 (v102(constB121) <=> (v105(constB121) | v106(constB121))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18220, 2384])).
% 15.95/11.09 tff(18222,plain,
% 15.95/11.09 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB121) <=> (~((~v107(constB121)) | (~v120(constB121)))))),
% 15.95/11.09 inference(quant_inst,[status(thm)],[])).
% 15.95/11.09 tff(18223,plain,
% 15.95/11.09 (v106(constB121) <=> (~((~v107(constB121)) | (~v120(constB121))))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18222, 2396])).
% 15.95/11.09 tff(18224,plain,
% 15.95/11.09 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB121) <=> (v108(constB121) | v119(constB121)))),
% 15.95/11.09 inference(quant_inst,[status(thm)],[])).
% 15.95/11.09 tff(18225,plain,
% 15.95/11.09 (v107(constB121) <=> (v108(constB121) | v119(constB121))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18224, 2405])).
% 15.95/11.09 tff(18226,plain,
% 15.95/11.09 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB121) <=> (v109(constB121) | v118(constB121)))),
% 15.95/11.09 inference(quant_inst,[status(thm)],[])).
% 15.95/11.09 tff(18227,plain,
% 15.95/11.09 (v108(constB121) <=> (v109(constB121) | v118(constB121))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18226, 2414])).
% 15.95/11.09 tff(18228,plain,
% 15.95/11.09 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB121) <=> (v110(constB121) | v117(constB121)))),
% 15.95/11.09 inference(quant_inst,[status(thm)],[])).
% 15.95/11.09 tff(18229,plain,
% 15.95/11.09 (v109(constB121) <=> (v110(constB121) | v117(constB121))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18228, 2423])).
% 15.95/11.09 tff(18230,plain,
% 15.95/11.09 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB121) <=> (v111(constB121) | v116(constB121)))),
% 15.95/11.09 inference(quant_inst,[status(thm)],[])).
% 15.95/11.09 tff(18231,plain,
% 15.95/11.09 (v110(constB121) <=> (v111(constB121) | v116(constB121))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18230, 2432])).
% 15.95/11.09 tff(18232,plain,
% 15.95/11.09 ((v111(constB121) | v116(constB121)) | (~v116(constB121))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18233,plain,
% 15.95/11.09 (v111(constB121) | v116(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18232, 18172])).
% 15.95/11.09 tff(18234,plain,
% 15.95/11.09 ((~(v110(constB121) <=> (v111(constB121) | v116(constB121)))) | v110(constB121) | (~(v111(constB121) | v116(constB121)))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18235,plain,
% 15.95/11.09 (v110(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18234, 18233, 18231])).
% 15.95/11.09 tff(18236,plain,
% 15.95/11.09 ((v110(constB121) | v117(constB121)) | (~v110(constB121))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18237,plain,
% 15.95/11.09 (v110(constB121) | v117(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18236, 18235])).
% 15.95/11.09 tff(18238,plain,
% 15.95/11.09 ((~(v109(constB121) <=> (v110(constB121) | v117(constB121)))) | v109(constB121) | (~(v110(constB121) | v117(constB121)))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18239,plain,
% 15.95/11.09 (v109(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18238, 18237, 18229])).
% 15.95/11.09 tff(18240,plain,
% 15.95/11.09 ((v109(constB121) | v118(constB121)) | (~v109(constB121))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18241,plain,
% 15.95/11.09 (v109(constB121) | v118(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18240, 18239])).
% 15.95/11.09 tff(18242,plain,
% 15.95/11.09 ((~(v108(constB121) <=> (v109(constB121) | v118(constB121)))) | v108(constB121) | (~(v109(constB121) | v118(constB121)))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18243,plain,
% 15.95/11.09 (v108(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18242, 18241, 18227])).
% 15.95/11.09 tff(18244,plain,
% 15.95/11.09 ((v108(constB121) | v119(constB121)) | (~v108(constB121))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18245,plain,
% 15.95/11.09 (v108(constB121) | v119(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18244, 18243])).
% 15.95/11.09 tff(18246,plain,
% 15.95/11.09 ((~(v107(constB121) <=> (v108(constB121) | v119(constB121)))) | v107(constB121) | (~(v108(constB121) | v119(constB121)))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18247,plain,
% 15.95/11.09 (v107(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18246, 18245, 18225])).
% 15.95/11.09 tff(18248,plain,
% 15.95/11.09 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB121)) <=> v105(constB121))),
% 15.95/11.09 inference(quant_inst,[status(thm)],[])).
% 15.95/11.09 tff(18249,plain,
% 15.95/11.09 ((~v120(constB121)) <=> v105(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18248, 2484])).
% 15.95/11.09 tff(18250,plain,
% 15.95/11.09 ((~((~v120(constB121)) <=> v105(constB121))) | v120(constB121) | v105(constB121)),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18251,plain,
% 15.95/11.09 ((~((~v120(constB121)) <=> v105(constB121))) | v120(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18250, 15937])).
% 15.95/11.09 tff(18252,plain,
% 15.95/11.09 (v120(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18251, 18249])).
% 15.95/11.09 tff(18253,plain,
% 15.95/11.09 ((~((~v107(constB121)) | (~v120(constB121)))) | (~v107(constB121)) | (~v120(constB121))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18254,plain,
% 15.95/11.09 ((~((~v107(constB121)) | (~v120(constB121)))) | (~v107(constB121))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18253, 18252])).
% 15.95/11.09 tff(18255,plain,
% 15.95/11.09 (~((~v107(constB121)) | (~v120(constB121)))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18254, 18247])).
% 15.95/11.09 tff(18256,plain,
% 15.95/11.09 ((~(v106(constB121) <=> (~((~v107(constB121)) | (~v120(constB121)))))) | v106(constB121) | ((~v107(constB121)) | (~v120(constB121)))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18257,plain,
% 15.95/11.09 (v106(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18256, 18255, 18223])).
% 15.95/11.09 tff(18258,plain,
% 15.95/11.09 ((v105(constB121) | v106(constB121)) | (~v106(constB121))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18259,plain,
% 15.95/11.09 (v105(constB121) | v106(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18258, 18257])).
% 15.95/11.09 tff(18260,plain,
% 15.95/11.09 ((~(v102(constB121) <=> (v105(constB121) | v106(constB121)))) | v102(constB121) | (~(v105(constB121) | v106(constB121)))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18261,plain,
% 15.95/11.09 (v102(constB121)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18260, 18259, 18221])).
% 15.95/11.09 tff(18262,plain,
% 15.95/11.09 ((~(v104(constB122) <=> v102(constB121))) | v104(constB122) | (~v102(constB121))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18263,plain,
% 15.95/11.09 (v104(constB122)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18262, 18261, 18219])).
% 15.95/11.09 tff(18264,plain,
% 15.95/11.09 ((~((~v95(constB122)) | (~v104(constB122)))) | (~v95(constB122)) | (~v104(constB122))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18265,plain,
% 15.95/11.09 (~((~v95(constB122)) | (~v104(constB122)))),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18264, 18263, 18215])).
% 15.95/11.09 tff(18266,plain,
% 15.95/11.09 ((~(v94(constB122) <=> (~((~v95(constB122)) | (~v104(constB122)))))) | v94(constB122) | ((~v95(constB122)) | (~v104(constB122)))),
% 15.95/11.09 inference(tautology,[status(thm)],[])).
% 15.95/11.09 tff(18267,plain,
% 15.95/11.09 (v94(constB122)),
% 15.95/11.09 inference(unit_resolution,[status(thm)],[18266, 18265, 18187])).
% 15.95/11.09 tff(18268,plain,
% 15.95/11.09 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB122)) | (~(((~v84(constB122, 0)) <=> v123(constB122, 0)) | ((~v84(constB122, 2)) <=> v123(constB122, 2)) | ((~v84(constB122, 1)) <=> v123(constB122, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB122)) | (~(((~v84(constB122, 0)) <=> v123(constB122, 0)) | ((~v84(constB122, 2)) <=> v123(constB122, 2)) | ((~v84(constB122, 1)) <=> v123(constB122, 1)))))),
% 15.95/11.09 inference(rewrite,[status(thm)],[])).
% 15.95/11.09 tff(18269,plain,
% 15.95/11.09 (((~v94(constB122)) | (~(((~v84(constB122, 2)) <=> v123(constB122, 2)) | ((~v84(constB122, 1)) <=> v123(constB122, 1)) | ((~v84(constB122, 0)) <=> v123(constB122, 0))))) <=> ((~v94(constB122)) | (~(((~v84(constB122, 0)) <=> v123(constB122, 0)) | ((~v84(constB122, 2)) <=> v123(constB122, 2)) | ((~v84(constB122, 1)) <=> v123(constB122, 1)))))),
% 15.95/11.09 inference(rewrite,[status(thm)],[])).
% 15.95/11.09 tff(18270,plain,
% 15.95/11.09 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB122)) | (~(((~v84(constB122, 2)) <=> v123(constB122, 2)) | ((~v84(constB122, 1)) <=> v123(constB122, 1)) | ((~v84(constB122, 0)) <=> v123(constB122, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB122)) | (~(((~v84(constB122, 0)) <=> v123(constB122, 0)) | ((~v84(constB122, 2)) <=> v123(constB122, 2)) | ((~v84(constB122, 1)) <=> v123(constB122, 1))))))),
% 15.95/11.10 inference(monotonicity,[status(thm)],[18269])).
% 15.95/11.10 tff(18271,plain,
% 15.95/11.10 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB122)) | (~(((~v84(constB122, 2)) <=> v123(constB122, 2)) | ((~v84(constB122, 1)) <=> v123(constB122, 1)) | ((~v84(constB122, 0)) <=> v123(constB122, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB122)) | (~(((~v84(constB122, 0)) <=> v123(constB122, 0)) | ((~v84(constB122, 2)) <=> v123(constB122, 2)) | ((~v84(constB122, 1)) <=> v123(constB122, 1)))))),
% 15.95/11.10 inference(transitivity,[status(thm)],[18270, 18268])).
% 15.95/11.10 tff(18272,plain,
% 15.95/11.10 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB122)) | (~(((~v84(constB122, 2)) <=> v123(constB122, 2)) | ((~v84(constB122, 1)) <=> v123(constB122, 1)) | ((~v84(constB122, 0)) <=> v123(constB122, 0)))))),
% 15.95/11.10 inference(quant_inst,[status(thm)],[])).
% 15.95/11.10 tff(18273,plain,
% 15.95/11.10 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB122)) | (~(((~v84(constB122, 0)) <=> v123(constB122, 0)) | ((~v84(constB122, 2)) <=> v123(constB122, 2)) | ((~v84(constB122, 1)) <=> v123(constB122, 1))))),
% 15.95/11.10 inference(modus_ponens,[status(thm)],[18272, 18271])).
% 15.95/11.10 tff(18274,plain,
% 15.95/11.10 ((~v94(constB122)) | (~(((~v84(constB122, 0)) <=> v123(constB122, 0)) | ((~v84(constB122, 2)) <=> v123(constB122, 2)) | ((~v84(constB122, 1)) <=> v123(constB122, 1))))),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18273, 2517])).
% 15.95/11.10 tff(18275,plain,
% 15.95/11.10 (~(((~v84(constB122, 0)) <=> v123(constB122, 0)) | ((~v84(constB122, 2)) <=> v123(constB122, 2)) | ((~v84(constB122, 1)) <=> v123(constB122, 1)))),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18274, 18267])).
% 15.95/11.10 tff(18276,plain,
% 15.95/11.10 ((((~v84(constB122, 0)) <=> v123(constB122, 0)) | ((~v84(constB122, 2)) <=> v123(constB122, 2)) | ((~v84(constB122, 1)) <=> v123(constB122, 1))) | (~((~v84(constB122, 2)) <=> v123(constB122, 2)))),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18277,plain,
% 15.95/11.10 (~((~v84(constB122, 2)) <=> v123(constB122, 2))),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18276, 18275])).
% 15.95/11.10 tff(18278,plain,
% 15.95/11.10 (((~v84(constB122, 2)) <=> v123(constB122, 2)) | v84(constB122, 2) | (~v123(constB122, 2))),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18279,plain,
% 15.95/11.10 (v84(constB122, 2)),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18278, 18277, 18183])).
% 15.95/11.10 tff(18280,plain,
% 15.95/11.10 (((~v84(constB123, 2)) <=> v84(constB122, 2)) | v84(constB123, 2) | (~v84(constB122, 2))),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18281,plain,
% 15.95/11.10 (v84(constB123, 2)),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18280, 18279, 15921])).
% 15.95/11.10 tff(18282,plain,
% 15.95/11.10 ((((~v84(constB123, 1)) <=> v84(constB122, 1)) | ((~v84(constB123, 2)) <=> v84(constB122, 2)) | ((~v84(constB123, 0)) <=> v84(constB122, 0))) | (~((~v84(constB123, 0)) <=> v84(constB122, 0)))),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18283,plain,
% 15.95/11.10 (~((~v84(constB123, 0)) <=> v84(constB122, 0))),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18282, 15919])).
% 15.95/11.10 tff(18284,plain,
% 15.95/11.10 ((((~v123(constB122, 2)) <=> v121(constB121, 2)) | ((~v123(constB122, 1)) <=> v121(constB121, 1)) | ((~v123(constB122, 0)) <=> v121(constB121, 0))) | (~((~v123(constB122, 0)) <=> v121(constB121, 0)))),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18285,plain,
% 15.95/11.10 (~((~v123(constB122, 0)) <=> v121(constB121, 0))),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18284, 15928])).
% 15.95/11.10 tff(18286,plain,
% 15.95/11.10 ((((~v121(constB121, 2)) <=> v124(constB121, 2)) | ((~v121(constB121, 0)) <=> v124(constB121, 0)) | ((~v121(constB121, 1)) <=> v124(constB121, 1))) | (~((~v121(constB121, 0)) <=> v124(constB121, 0)))),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18287,plain,
% 15.95/11.10 (~((~v121(constB121, 0)) <=> v124(constB121, 0))),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18286, 15942])).
% 15.95/11.10 tff(18288,plain,
% 15.95/11.10 ((v124(constB121, 0) | v124(constB121, 1) | (~v124(constB121, 2))) | (~v124(constB121, 0))),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18289,plain,
% 15.95/11.10 (~v124(constB121, 0)),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18288, 18177])).
% 15.95/11.10 tff(18290,plain,
% 15.95/11.10 (((~v121(constB121, 0)) <=> v124(constB121, 0)) | (~v121(constB121, 0)) | v124(constB121, 0)),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18291,plain,
% 15.95/11.10 (~v121(constB121, 0)),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18290, 18289, 18287])).
% 15.95/11.10 tff(18292,plain,
% 15.95/11.10 (((~v123(constB122, 0)) <=> v121(constB121, 0)) | (~v123(constB122, 0)) | v121(constB121, 0)),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18293,plain,
% 15.95/11.10 (~v123(constB122, 0)),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18292, 18291, 18285])).
% 15.95/11.10 tff(18294,plain,
% 15.95/11.10 ((((~v84(constB122, 0)) <=> v123(constB122, 0)) | ((~v84(constB122, 2)) <=> v123(constB122, 2)) | ((~v84(constB122, 1)) <=> v123(constB122, 1))) | (~((~v84(constB122, 0)) <=> v123(constB122, 0)))),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18295,plain,
% 15.95/11.10 (~((~v84(constB122, 0)) <=> v123(constB122, 0))),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18294, 18275])).
% 15.95/11.10 tff(18296,plain,
% 15.95/11.10 (((~v84(constB122, 0)) <=> v123(constB122, 0)) | (~v84(constB122, 0)) | v123(constB122, 0)),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18297,plain,
% 15.95/11.10 (~v84(constB122, 0)),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18296, 18295, 18293])).
% 15.95/11.10 tff(18298,plain,
% 15.95/11.10 (((~v84(constB123, 0)) <=> v84(constB122, 0)) | (~v84(constB123, 0)) | v84(constB122, 0)),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18299,plain,
% 15.95/11.10 (~v84(constB123, 0)),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18298, 18297, 18283])).
% 15.95/11.10 tff(18300,plain,
% 15.95/11.10 ((((~v84(constB123, 1)) <=> v84(constB122, 1)) | ((~v84(constB123, 2)) <=> v84(constB122, 2)) | ((~v84(constB123, 0)) <=> v84(constB122, 0))) | (~((~v84(constB123, 1)) <=> v84(constB122, 1)))),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18301,plain,
% 15.95/11.10 (~((~v84(constB123, 1)) <=> v84(constB122, 1))),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18300, 15919])).
% 15.95/11.10 tff(18302,plain,
% 15.95/11.10 ((((~v123(constB122, 2)) <=> v121(constB121, 2)) | ((~v123(constB122, 1)) <=> v121(constB121, 1)) | ((~v123(constB122, 0)) <=> v121(constB121, 0))) | (~((~v123(constB122, 1)) <=> v121(constB121, 1)))),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18303,plain,
% 15.95/11.10 (~((~v123(constB122, 1)) <=> v121(constB121, 1))),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18302, 15928])).
% 15.95/11.10 tff(18304,plain,
% 15.95/11.10 ((((~v121(constB121, 2)) <=> v124(constB121, 2)) | ((~v121(constB121, 0)) <=> v124(constB121, 0)) | ((~v121(constB121, 1)) <=> v124(constB121, 1))) | (~((~v121(constB121, 1)) <=> v124(constB121, 1)))),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18305,plain,
% 15.95/11.10 (~((~v121(constB121, 1)) <=> v124(constB121, 1))),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18304, 15942])).
% 15.95/11.10 tff(18306,plain,
% 15.95/11.10 ((v124(constB121, 0) | v124(constB121, 1) | (~v124(constB121, 2))) | (~v124(constB121, 1))),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18307,plain,
% 15.95/11.10 (~v124(constB121, 1)),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18306, 18177])).
% 15.95/11.10 tff(18308,plain,
% 15.95/11.10 (((~v121(constB121, 1)) <=> v124(constB121, 1)) | (~v121(constB121, 1)) | v124(constB121, 1)),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18309,plain,
% 15.95/11.10 (~v121(constB121, 1)),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18308, 18307, 18305])).
% 15.95/11.10 tff(18310,plain,
% 15.95/11.10 (((~v123(constB122, 1)) <=> v121(constB121, 1)) | (~v123(constB122, 1)) | v121(constB121, 1)),
% 15.95/11.10 inference(tautology,[status(thm)],[])).
% 15.95/11.10 tff(18311,plain,
% 15.95/11.10 (~v123(constB122, 1)),
% 15.95/11.10 inference(unit_resolution,[status(thm)],[18310, 18309, 18303])).
% 15.95/11.10 tff(18312,plain,
% 15.95/11.10 ((((~v84(constB122, 0)) <=> v123(constB122, 0)) | ((~v84(constB122, 2)) <=> v123(constB122, 2)) | ((~v84(constB122, 1)) <=> v123(constB122, 1))) | (~((~v84(constB122, 1)) <=> v123(constB122, 1)))),
% 15.97/11.10 inference(tautology,[status(thm)],[])).
% 15.97/11.10 tff(18313,plain,
% 15.97/11.10 (~((~v84(constB122, 1)) <=> v123(constB122, 1))),
% 15.97/11.10 inference(unit_resolution,[status(thm)],[18312, 18275])).
% 15.97/11.10 tff(18314,plain,
% 15.97/11.10 (((~v84(constB122, 1)) <=> v123(constB122, 1)) | (~v84(constB122, 1)) | v123(constB122, 1)),
% 15.97/11.10 inference(tautology,[status(thm)],[])).
% 15.97/11.10 tff(18315,plain,
% 15.97/11.10 (~v84(constB122, 1)),
% 15.97/11.10 inference(unit_resolution,[status(thm)],[18314, 18313, 18311])).
% 15.97/11.10 tff(18316,plain,
% 15.97/11.10 (((~v84(constB123, 1)) <=> v84(constB122, 1)) | (~v84(constB123, 1)) | v84(constB122, 1)),
% 15.97/11.10 inference(tautology,[status(thm)],[])).
% 15.97/11.10 tff(18317,plain,
% 15.97/11.10 (~v84(constB123, 1)),
% 15.97/11.10 inference(unit_resolution,[status(thm)],[18316, 18315, 18301])).
% 15.97/11.10 tff(18318,plain,
% 15.97/11.10 ((~(v84(constB123, 1) | v84(constB123, 0) | (~v84(constB123, 2)))) | v84(constB123, 1) | v84(constB123, 0) | (~v84(constB123, 2))),
% 15.97/11.10 inference(tautology,[status(thm)],[])).
% 15.97/11.10 tff(18319,plain,
% 15.97/11.10 (~(v84(constB123, 1) | v84(constB123, 0) | (~v84(constB123, 2)))),
% 15.97/11.10 inference(unit_resolution,[status(thm)],[18318, 18317, 18299, 18281])).
% 15.97/11.10 tff(18320,plain,
% 15.97/11.10 ((~(v117(constB123) <=> (~(v84(constB123, 1) | v84(constB123, 0) | (~v84(constB123, 2)))))) | v117(constB123) | (v84(constB123, 1) | v84(constB123, 0) | (~v84(constB123, 2)))),
% 15.97/11.10 inference(tautology,[status(thm)],[])).
% 15.97/11.10 tff(18321,plain,
% 15.97/11.10 (v117(constB123)),
% 15.97/11.10 inference(unit_resolution,[status(thm)],[18320, 18319, 15885])).
% 15.97/11.10 tff(18322,plain,
% 15.97/11.10 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB123)) | (~(v124(constB123, 0) | (~v124(constB123, 2)) | (~v124(constB123, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB123)) | (~(v124(constB123, 0) | (~v124(constB123, 2)) | (~v124(constB123, 1)))))),
% 15.97/11.10 inference(rewrite,[status(thm)],[])).
% 15.97/11.10 tff(18323,plain,
% 15.97/11.10 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB123)) | (~(v124(constB123, 0) | (~v124(constB123, 2)) | (~v124(constB123, 1)))))),
% 15.97/11.10 inference(quant_inst,[status(thm)],[])).
% 15.97/11.10 tff(18324,plain,
% 15.97/11.10 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB123)) | (~(v124(constB123, 0) | (~v124(constB123, 2)) | (~v124(constB123, 1))))),
% 15.97/11.10 inference(modus_ponens,[status(thm)],[18323, 18322])).
% 15.97/11.10 tff(18325,plain,
% 15.97/11.10 ((~v117(constB123)) | (~(v124(constB123, 0) | (~v124(constB123, 2)) | (~v124(constB123, 1))))),
% 15.97/11.10 inference(unit_resolution,[status(thm)],[18324, 2584])).
% 15.97/11.10 tff(18326,plain,
% 15.97/11.10 (~(v124(constB123, 0) | (~v124(constB123, 2)) | (~v124(constB123, 1)))),
% 15.97/11.10 inference(unit_resolution,[status(thm)],[18325, 18321])).
% 15.97/11.10 tff(18327,plain,
% 15.97/11.10 ((v124(constB123, 0) | (~v124(constB123, 2)) | (~v124(constB123, 1))) | v124(constB123, 2)),
% 15.97/11.10 inference(tautology,[status(thm)],[])).
% 15.97/11.10 tff(18328,plain,
% 15.97/11.10 (v124(constB123, 2)),
% 15.97/11.10 inference(unit_resolution,[status(thm)],[18327, 18326])).
% 15.97/11.10 tff(18329,plain,
% 15.97/11.10 (((~v121(constB123, 2)) <=> v124(constB123, 2)) | v121(constB123, 2) | (~v124(constB123, 2))),
% 15.97/11.10 inference(tautology,[status(thm)],[])).
% 15.97/11.10 tff(18330,plain,
% 15.97/11.10 (v121(constB123, 2)),
% 15.97/11.10 inference(unit_resolution,[status(thm)],[18329, 18328, 15878])).
% 15.97/11.10 tff(18331,plain,
% 15.97/11.10 (((~v123(constB124, 2)) <=> v121(constB123, 2)) | v123(constB124, 2) | (~v121(constB123, 2))),
% 15.97/11.10 inference(tautology,[status(thm)],[])).
% 15.97/11.10 tff(18332,plain,
% 15.97/11.10 (v123(constB124, 2)),
% 15.97/11.10 inference(unit_resolution,[status(thm)],[18331, 18330, 15864])).
% 15.97/11.10 tff(18333,plain,
% 15.97/11.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB123, constB124)) | (v94(constB124) <=> (~((~v95(constB124)) | (~v104(constB124))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB123, constB124)) | (v94(constB124) <=> (~((~v95(constB124)) | (~v104(constB124))))))),
% 15.97/11.10 inference(rewrite,[status(thm)],[])).
% 15.97/11.10 tff(18334,plain,
% 15.97/11.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB123, constB124)) | (v94(constB124) <=> (~((~v95(constB124)) | (~v104(constB124))))))),
% 15.97/11.10 inference(quant_inst,[status(thm)],[])).
% 15.97/11.10 tff(18335,plain,
% 15.97/11.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB123, constB124)) | (v94(constB124) <=> (~((~v95(constB124)) | (~v104(constB124)))))),
% 15.97/11.10 inference(modus_ponens,[status(thm)],[18334, 18333])).
% 15.97/11.10 tff(18336,plain,
% 15.97/11.10 (v94(constB124) <=> (~((~v95(constB124)) | (~v104(constB124))))),
% 15.97/11.10 inference(unit_resolution,[status(thm)],[18335, 15858, 770])).
% 15.97/11.10 tff(18337,plain,
% 15.97/11.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124))))))),
% 15.97/11.10 inference(rewrite,[status(thm)],[])).
% 15.97/11.10 tff(18338,plain,
% 15.97/11.10 (((~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v96(constB124)) | (~v1(constB124)))))) <=> ((~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124))))))),
% 15.97/11.10 inference(rewrite,[status(thm)],[])).
% 15.97/11.10 tff(18339,plain,
% 15.97/11.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v96(constB124)) | (~v1(constB124))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124)))))))),
% 15.97/11.10 inference(monotonicity,[status(thm)],[18338])).
% 15.97/11.10 tff(18340,plain,
% 15.97/11.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v96(constB124)) | (~v1(constB124))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124))))))),
% 15.97/11.10 inference(transitivity,[status(thm)],[18339, 18337])).
% 15.97/11.10 tff(18341,plain,
% 15.97/11.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v96(constB124)) | (~v1(constB124))))))),
% 15.97/11.10 inference(quant_inst,[status(thm)],[])).
% 15.97/11.10 tff(18342,plain,
% 15.97/11.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124)))))),
% 15.97/11.10 inference(modus_ponens,[status(thm)],[18341, 18340])).
% 15.97/11.10 tff(18343,plain,
% 15.97/11.10 (v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124))))),
% 15.97/11.10 inference(unit_resolution,[status(thm)],[18342, 15858, 790])).
% 15.97/11.10 tff(18344,plain,
% 15.97/11.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB123, constB124)) | ((~v96(constB124)) <=> v98(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB123, constB124)) | ((~v96(constB124)) <=> v98(constB124)))),
% 15.97/11.11 inference(rewrite,[status(thm)],[])).
% 15.97/11.11 tff(18345,plain,
% 15.97/11.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB123, constB124)) | ((~v96(constB124)) <=> v98(constB124)))),
% 15.97/11.11 inference(quant_inst,[status(thm)],[])).
% 15.97/11.11 tff(18346,plain,
% 15.97/11.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB123, constB124)) | ((~v96(constB124)) <=> v98(constB124))),
% 15.97/11.11 inference(modus_ponens,[status(thm)],[18345, 18344])).
% 15.97/11.11 tff(18347,plain,
% 15.97/11.11 ((~v96(constB124)) <=> v98(constB124)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18346, 15858, 2332])).
% 15.97/11.11 tff(18348,plain,
% 15.97/11.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB123, constB124)) | (v98(constB124) <=> v1(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB123, constB124)) | (v98(constB124) <=> v1(constB123)))),
% 15.97/11.11 inference(rewrite,[status(thm)],[])).
% 15.97/11.11 tff(18349,plain,
% 15.97/11.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB123, constB124)) | (v98(constB124) <=> v1(constB123)))),
% 15.97/11.11 inference(quant_inst,[status(thm)],[])).
% 15.97/11.11 tff(18350,plain,
% 15.97/11.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB123, constB124)) | (v98(constB124) <=> v1(constB123))),
% 15.97/11.11 inference(modus_ponens,[status(thm)],[18349, 18348])).
% 15.97/11.11 tff(18351,plain,
% 15.97/11.11 (v98(constB124) <=> v1(constB123)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18350, 15858, 2346])).
% 15.97/11.11 tff(18352,plain,
% 15.97/11.11 ((~(v98(constB124) <=> v1(constB123))) | (~v98(constB124)) | v1(constB123)),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18353,plain,
% 15.97/11.11 ((~(v98(constB124) <=> v1(constB123))) | (~v98(constB124))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18352, 15902])).
% 15.97/11.11 tff(18354,plain,
% 15.97/11.11 (~v98(constB124)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18353, 18351])).
% 15.97/11.11 tff(18355,plain,
% 15.97/11.11 ((~((~v96(constB124)) <=> v98(constB124))) | v96(constB124) | v98(constB124)),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18356,plain,
% 15.97/11.11 (v96(constB124)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18355, 18354, 18347])).
% 15.97/11.11 tff(18357,plain,
% 15.97/11.11 (v1(constB124) <=> v1(constB124)),
% 15.97/11.11 inference(rewrite,[status(thm)],[])).
% 15.97/11.11 tff(18358,axiom,(v1(constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_124')).
% 15.97/11.11 tff(18359,plain,
% 15.97/11.11 (v1(constB124)),
% 15.97/11.11 inference(modus_ponens,[status(thm)],[18358, 18357])).
% 15.97/11.11 tff(18360,plain,
% 15.97/11.11 ((~((~v1(constB124)) | (~v96(constB124)))) | (~v1(constB124)) | (~v96(constB124))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18361,plain,
% 15.97/11.11 ((~((~v1(constB124)) | (~v96(constB124)))) | (~v96(constB124))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18360, 18359])).
% 15.97/11.11 tff(18362,plain,
% 15.97/11.11 (~((~v1(constB124)) | (~v96(constB124)))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18361, 18356])).
% 15.97/11.11 tff(18363,plain,
% 15.97/11.11 ((~(v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124)))))) | v95(constB124) | ((~v1(constB124)) | (~v96(constB124)))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18364,plain,
% 15.97/11.11 (v95(constB124)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18363, 18362, 18343])).
% 15.97/11.11 tff(18365,plain,
% 15.97/11.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB123, constB124)) | (v104(constB124) <=> v102(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB123, constB124)) | (v104(constB124) <=> v102(constB123)))),
% 15.97/11.11 inference(rewrite,[status(thm)],[])).
% 15.97/11.11 tff(18366,plain,
% 15.97/11.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB123, constB124)) | (v104(constB124) <=> v102(constB123)))),
% 15.97/11.11 inference(quant_inst,[status(thm)],[])).
% 15.97/11.11 tff(18367,plain,
% 15.97/11.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB123, constB124)) | (v104(constB124) <=> v102(constB123))),
% 15.97/11.11 inference(modus_ponens,[status(thm)],[18366, 18365])).
% 15.97/11.11 tff(18368,plain,
% 15.97/11.11 (v104(constB124) <=> v102(constB123)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18367, 15858, 2373])).
% 15.97/11.11 tff(18369,plain,
% 15.97/11.11 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB123) <=> (v105(constB123) | v106(constB123)))),
% 15.97/11.11 inference(quant_inst,[status(thm)],[])).
% 15.97/11.11 tff(18370,plain,
% 15.97/11.11 (v102(constB123) <=> (v105(constB123) | v106(constB123))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18369, 2384])).
% 15.97/11.11 tff(18371,plain,
% 15.97/11.11 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB123) <=> (~((~v107(constB123)) | (~v120(constB123)))))),
% 15.97/11.11 inference(quant_inst,[status(thm)],[])).
% 15.97/11.11 tff(18372,plain,
% 15.97/11.11 (v106(constB123) <=> (~((~v107(constB123)) | (~v120(constB123))))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18371, 2396])).
% 15.97/11.11 tff(18373,plain,
% 15.97/11.11 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB123) <=> (v108(constB123) | v119(constB123)))),
% 15.97/11.11 inference(quant_inst,[status(thm)],[])).
% 15.97/11.11 tff(18374,plain,
% 15.97/11.11 (v107(constB123) <=> (v108(constB123) | v119(constB123))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18373, 2405])).
% 15.97/11.11 tff(18375,plain,
% 15.97/11.11 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB123) <=> (v109(constB123) | v118(constB123)))),
% 15.97/11.11 inference(quant_inst,[status(thm)],[])).
% 15.97/11.11 tff(18376,plain,
% 15.97/11.11 (v108(constB123) <=> (v109(constB123) | v118(constB123))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18375, 2414])).
% 15.97/11.11 tff(18377,plain,
% 15.97/11.11 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB123) <=> (v110(constB123) | v117(constB123)))),
% 15.97/11.11 inference(quant_inst,[status(thm)],[])).
% 15.97/11.11 tff(18378,plain,
% 15.97/11.11 (v109(constB123) <=> (v110(constB123) | v117(constB123))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18377, 2423])).
% 15.97/11.11 tff(18379,plain,
% 15.97/11.11 ((v110(constB123) | v117(constB123)) | (~v117(constB123))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18380,plain,
% 15.97/11.11 (v110(constB123) | v117(constB123)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18379, 18321])).
% 15.97/11.11 tff(18381,plain,
% 15.97/11.11 ((~(v109(constB123) <=> (v110(constB123) | v117(constB123)))) | v109(constB123) | (~(v110(constB123) | v117(constB123)))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18382,plain,
% 15.97/11.11 (v109(constB123)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18381, 18380, 18378])).
% 15.97/11.11 tff(18383,plain,
% 15.97/11.11 ((v109(constB123) | v118(constB123)) | (~v109(constB123))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18384,plain,
% 15.97/11.11 (v109(constB123) | v118(constB123)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18383, 18382])).
% 15.97/11.11 tff(18385,plain,
% 15.97/11.11 ((~(v108(constB123) <=> (v109(constB123) | v118(constB123)))) | v108(constB123) | (~(v109(constB123) | v118(constB123)))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18386,plain,
% 15.97/11.11 (v108(constB123)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18385, 18384, 18376])).
% 15.97/11.11 tff(18387,plain,
% 15.97/11.11 ((v108(constB123) | v119(constB123)) | (~v108(constB123))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18388,plain,
% 15.97/11.11 (v108(constB123) | v119(constB123)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18387, 18386])).
% 15.97/11.11 tff(18389,plain,
% 15.97/11.11 ((~(v107(constB123) <=> (v108(constB123) | v119(constB123)))) | v107(constB123) | (~(v108(constB123) | v119(constB123)))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18390,plain,
% 15.97/11.11 (v107(constB123)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18389, 18388, 18374])).
% 15.97/11.11 tff(18391,plain,
% 15.97/11.11 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB123)) <=> v105(constB123))),
% 15.97/11.11 inference(quant_inst,[status(thm)],[])).
% 15.97/11.11 tff(18392,plain,
% 15.97/11.11 ((~v120(constB123)) <=> v105(constB123)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18391, 2484])).
% 15.97/11.11 tff(18393,plain,
% 15.97/11.11 ((~((~v120(constB123)) <=> v105(constB123))) | v120(constB123) | v105(constB123)),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18394,plain,
% 15.97/11.11 ((~((~v120(constB123)) <=> v105(constB123))) | v120(constB123)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18393, 15871])).
% 15.97/11.11 tff(18395,plain,
% 15.97/11.11 (v120(constB123)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18394, 18392])).
% 15.97/11.11 tff(18396,plain,
% 15.97/11.11 ((~((~v107(constB123)) | (~v120(constB123)))) | (~v107(constB123)) | (~v120(constB123))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18397,plain,
% 15.97/11.11 ((~((~v107(constB123)) | (~v120(constB123)))) | (~v107(constB123))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18396, 18395])).
% 15.97/11.11 tff(18398,plain,
% 15.97/11.11 (~((~v107(constB123)) | (~v120(constB123)))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18397, 18390])).
% 15.97/11.11 tff(18399,plain,
% 15.97/11.11 ((~(v106(constB123) <=> (~((~v107(constB123)) | (~v120(constB123)))))) | v106(constB123) | ((~v107(constB123)) | (~v120(constB123)))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18400,plain,
% 15.97/11.11 (v106(constB123)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18399, 18398, 18372])).
% 15.97/11.11 tff(18401,plain,
% 15.97/11.11 ((v105(constB123) | v106(constB123)) | (~v106(constB123))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18402,plain,
% 15.97/11.11 (v105(constB123) | v106(constB123)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18401, 18400])).
% 15.97/11.11 tff(18403,plain,
% 15.97/11.11 ((~(v102(constB123) <=> (v105(constB123) | v106(constB123)))) | v102(constB123) | (~(v105(constB123) | v106(constB123)))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18404,plain,
% 15.97/11.11 (v102(constB123)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18403, 18402, 18370])).
% 15.97/11.11 tff(18405,plain,
% 15.97/11.11 ((~(v104(constB124) <=> v102(constB123))) | v104(constB124) | (~v102(constB123))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18406,plain,
% 15.97/11.11 (v104(constB124)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18405, 18404, 18368])).
% 15.97/11.11 tff(18407,plain,
% 15.97/11.11 ((~((~v95(constB124)) | (~v104(constB124)))) | (~v95(constB124)) | (~v104(constB124))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18408,plain,
% 15.97/11.11 (~((~v95(constB124)) | (~v104(constB124)))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18407, 18406, 18364])).
% 15.97/11.11 tff(18409,plain,
% 15.97/11.11 ((~(v94(constB124) <=> (~((~v95(constB124)) | (~v104(constB124)))))) | v94(constB124) | ((~v95(constB124)) | (~v104(constB124)))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18410,plain,
% 15.97/11.11 (v94(constB124)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18409, 18408, 18336])).
% 15.97/11.11 tff(18411,plain,
% 15.97/11.11 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB124)) | (~(((~v84(constB124, 2)) <=> v123(constB124, 2)) | ((~v84(constB124, 1)) <=> v123(constB124, 1)) | ((~v84(constB124, 0)) <=> v123(constB124, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB124)) | (~(((~v84(constB124, 2)) <=> v123(constB124, 2)) | ((~v84(constB124, 1)) <=> v123(constB124, 1)) | ((~v84(constB124, 0)) <=> v123(constB124, 0)))))),
% 15.97/11.11 inference(rewrite,[status(thm)],[])).
% 15.97/11.11 tff(18412,plain,
% 15.97/11.11 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB124)) | (~(((~v84(constB124, 2)) <=> v123(constB124, 2)) | ((~v84(constB124, 1)) <=> v123(constB124, 1)) | ((~v84(constB124, 0)) <=> v123(constB124, 0)))))),
% 15.97/11.11 inference(quant_inst,[status(thm)],[])).
% 15.97/11.11 tff(18413,plain,
% 15.97/11.11 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB124)) | (~(((~v84(constB124, 2)) <=> v123(constB124, 2)) | ((~v84(constB124, 1)) <=> v123(constB124, 1)) | ((~v84(constB124, 0)) <=> v123(constB124, 0))))),
% 15.97/11.11 inference(modus_ponens,[status(thm)],[18412, 18411])).
% 15.97/11.11 tff(18414,plain,
% 15.97/11.11 ((~v94(constB124)) | (~(((~v84(constB124, 2)) <=> v123(constB124, 2)) | ((~v84(constB124, 1)) <=> v123(constB124, 1)) | ((~v84(constB124, 0)) <=> v123(constB124, 0))))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18413, 2517])).
% 15.97/11.11 tff(18415,plain,
% 15.97/11.11 (~(((~v84(constB124, 2)) <=> v123(constB124, 2)) | ((~v84(constB124, 1)) <=> v123(constB124, 1)) | ((~v84(constB124, 0)) <=> v123(constB124, 0)))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18414, 18410])).
% 15.97/11.11 tff(18416,plain,
% 15.97/11.11 ((((~v84(constB124, 2)) <=> v123(constB124, 2)) | ((~v84(constB124, 1)) <=> v123(constB124, 1)) | ((~v84(constB124, 0)) <=> v123(constB124, 0))) | (~((~v84(constB124, 2)) <=> v123(constB124, 2)))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18417,plain,
% 15.97/11.11 (~((~v84(constB124, 2)) <=> v123(constB124, 2))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18416, 18415])).
% 15.97/11.11 tff(18418,plain,
% 15.97/11.11 (((~v84(constB124, 2)) <=> v123(constB124, 2)) | v84(constB124, 2) | (~v123(constB124, 2))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18419,plain,
% 15.97/11.11 (v84(constB124, 2)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18418, 18417, 18332])).
% 15.97/11.11 tff(18420,plain,
% 15.97/11.11 (((~v84(constB125, 2)) <=> v84(constB124, 2)) | v84(constB125, 2) | (~v84(constB124, 2))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18421,plain,
% 15.97/11.11 (v84(constB125, 2)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18420, 18419, 15855])).
% 15.97/11.11 tff(18422,plain,
% 15.97/11.11 ((v84(constB125, 0) | v84(constB125, 1) | v84(constB125, 2)) | (~v84(constB125, 2))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18423,plain,
% 15.97/11.11 (v84(constB125, 0) | v84(constB125, 1) | v84(constB125, 2)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18422, 18421])).
% 15.97/11.11 tff(18424,plain,
% 15.97/11.11 ((~(v113(constB125) <=> (~(v84(constB125, 0) | v84(constB125, 1) | v84(constB125, 2))))) | (~v113(constB125)) | (~(v84(constB125, 0) | v84(constB125, 1) | v84(constB125, 2)))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18425,plain,
% 15.97/11.11 (~v113(constB125)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18424, 18423, 15819])).
% 15.97/11.11 tff(18426,plain,
% 15.97/11.11 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB125) <=> (~(v84(constB125, 1) | (~v84(constB125, 2)) | (~v84(constB125, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB125) <=> (~(v84(constB125, 1) | (~v84(constB125, 2)) | (~v84(constB125, 0))))))),
% 15.97/11.11 inference(rewrite,[status(thm)],[])).
% 15.97/11.11 tff(18427,plain,
% 15.97/11.11 ((v118(constB125) <=> (~(v84(constB125, 1) | (~v84(constB125, 0)) | (~v84(constB125, 2))))) <=> (v118(constB125) <=> (~(v84(constB125, 1) | (~v84(constB125, 2)) | (~v84(constB125, 0)))))),
% 15.97/11.11 inference(rewrite,[status(thm)],[])).
% 15.97/11.11 tff(18428,plain,
% 15.97/11.11 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB125) <=> (~(v84(constB125, 1) | (~v84(constB125, 0)) | (~v84(constB125, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB125) <=> (~(v84(constB125, 1) | (~v84(constB125, 2)) | (~v84(constB125, 0))))))),
% 15.97/11.11 inference(monotonicity,[status(thm)],[18427])).
% 15.97/11.11 tff(18429,plain,
% 15.97/11.11 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB125) <=> (~(v84(constB125, 1) | (~v84(constB125, 0)) | (~v84(constB125, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB125) <=> (~(v84(constB125, 1) | (~v84(constB125, 2)) | (~v84(constB125, 0))))))),
% 15.97/11.11 inference(transitivity,[status(thm)],[18428, 18426])).
% 15.97/11.11 tff(18430,plain,
% 15.97/11.11 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB125) <=> (~(v84(constB125, 1) | (~v84(constB125, 0)) | (~v84(constB125, 2)))))),
% 15.97/11.11 inference(quant_inst,[status(thm)],[])).
% 15.97/11.11 tff(18431,plain,
% 15.97/11.11 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB125) <=> (~(v84(constB125, 1) | (~v84(constB125, 2)) | (~v84(constB125, 0)))))),
% 15.97/11.11 inference(modus_ponens,[status(thm)],[18430, 18429])).
% 15.97/11.11 tff(18432,plain,
% 15.97/11.11 (v118(constB125) <=> (~(v84(constB125, 1) | (~v84(constB125, 2)) | (~v84(constB125, 0))))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18431, 2701])).
% 15.97/11.11 tff(18433,plain,
% 15.97/11.11 ((((~v84(constB125, 1)) <=> v84(constB124, 1)) | ((~v84(constB125, 2)) <=> v84(constB124, 2)) | ((~v84(constB125, 0)) <=> v84(constB124, 0))) | (~((~v84(constB125, 1)) <=> v84(constB124, 1)))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18434,plain,
% 15.97/11.11 (~((~v84(constB125, 1)) <=> v84(constB124, 1))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18433, 15853])).
% 15.97/11.11 tff(18435,plain,
% 15.97/11.11 ((((~v123(constB124, 2)) <=> v121(constB123, 2)) | ((~v123(constB124, 1)) <=> v121(constB123, 1)) | ((~v123(constB124, 0)) <=> v121(constB123, 0))) | (~((~v123(constB124, 1)) <=> v121(constB123, 1)))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18436,plain,
% 15.97/11.11 (~((~v123(constB124, 1)) <=> v121(constB123, 1))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18435, 15862])).
% 15.97/11.11 tff(18437,plain,
% 15.97/11.11 ((((~v121(constB123, 2)) <=> v124(constB123, 2)) | ((~v121(constB123, 0)) <=> v124(constB123, 0)) | ((~v121(constB123, 1)) <=> v124(constB123, 1))) | (~((~v121(constB123, 1)) <=> v124(constB123, 1)))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18438,plain,
% 15.97/11.11 (~((~v121(constB123, 1)) <=> v124(constB123, 1))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18437, 15876])).
% 15.97/11.11 tff(18439,plain,
% 15.97/11.11 ((v124(constB123, 0) | (~v124(constB123, 2)) | (~v124(constB123, 1))) | v124(constB123, 1)),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18440,plain,
% 15.97/11.11 (v124(constB123, 1)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18439, 18326])).
% 15.97/11.11 tff(18441,plain,
% 15.97/11.11 (((~v121(constB123, 1)) <=> v124(constB123, 1)) | v121(constB123, 1) | (~v124(constB123, 1))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18442,plain,
% 15.97/11.11 (v121(constB123, 1)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18441, 18440, 18438])).
% 15.97/11.11 tff(18443,plain,
% 15.97/11.11 (((~v123(constB124, 1)) <=> v121(constB123, 1)) | v123(constB124, 1) | (~v121(constB123, 1))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18444,plain,
% 15.97/11.11 (v123(constB124, 1)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18443, 18442, 18436])).
% 15.97/11.11 tff(18445,plain,
% 15.97/11.11 ((((~v84(constB124, 2)) <=> v123(constB124, 2)) | ((~v84(constB124, 1)) <=> v123(constB124, 1)) | ((~v84(constB124, 0)) <=> v123(constB124, 0))) | (~((~v84(constB124, 1)) <=> v123(constB124, 1)))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18446,plain,
% 15.97/11.11 (~((~v84(constB124, 1)) <=> v123(constB124, 1))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18445, 18415])).
% 15.97/11.11 tff(18447,plain,
% 15.97/11.11 (((~v84(constB124, 1)) <=> v123(constB124, 1)) | v84(constB124, 1) | (~v123(constB124, 1))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18448,plain,
% 15.97/11.11 (v84(constB124, 1)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18447, 18446, 18444])).
% 15.97/11.11 tff(18449,plain,
% 15.97/11.11 (((~v84(constB125, 1)) <=> v84(constB124, 1)) | v84(constB125, 1) | (~v84(constB124, 1))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18450,plain,
% 15.97/11.11 (v84(constB125, 1)),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18449, 18448, 18434])).
% 15.97/11.11 tff(18451,plain,
% 15.97/11.11 ((v84(constB125, 1) | (~v84(constB125, 2)) | (~v84(constB125, 0))) | (~v84(constB125, 1))),
% 15.97/11.11 inference(tautology,[status(thm)],[])).
% 15.97/11.11 tff(18452,plain,
% 15.97/11.11 (v84(constB125, 1) | (~v84(constB125, 2)) | (~v84(constB125, 0))),
% 15.97/11.11 inference(unit_resolution,[status(thm)],[18451, 18450])).
% 15.97/11.11 tff(18453,plain,
% 15.98/11.12 ((~(v118(constB125) <=> (~(v84(constB125, 1) | (~v84(constB125, 2)) | (~v84(constB125, 0)))))) | (~v118(constB125)) | (~(v84(constB125, 1) | (~v84(constB125, 2)) | (~v84(constB125, 0))))),
% 15.98/11.12 inference(tautology,[status(thm)],[])).
% 15.98/11.12 tff(18454,plain,
% 15.98/11.12 (~v118(constB125)),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18453, 18452, 18432])).
% 15.98/11.12 tff(18455,plain,
% 15.98/11.12 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB125) <=> (~(v84(constB125, 1) | v84(constB125, 0) | (~v84(constB125, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB125) <=> (~(v84(constB125, 1) | v84(constB125, 0) | (~v84(constB125, 2))))))),
% 15.98/11.12 inference(rewrite,[status(thm)],[])).
% 15.98/11.12 tff(18456,plain,
% 15.98/11.12 ((v117(constB125) <=> (~(v84(constB125, 0) | v84(constB125, 1) | (~v84(constB125, 2))))) <=> (v117(constB125) <=> (~(v84(constB125, 1) | v84(constB125, 0) | (~v84(constB125, 2)))))),
% 15.98/11.12 inference(rewrite,[status(thm)],[])).
% 15.98/11.12 tff(18457,plain,
% 15.98/11.12 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB125) <=> (~(v84(constB125, 0) | v84(constB125, 1) | (~v84(constB125, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB125) <=> (~(v84(constB125, 1) | v84(constB125, 0) | (~v84(constB125, 2))))))),
% 15.98/11.12 inference(monotonicity,[status(thm)],[18456])).
% 15.98/11.12 tff(18458,plain,
% 15.98/11.12 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB125) <=> (~(v84(constB125, 0) | v84(constB125, 1) | (~v84(constB125, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB125) <=> (~(v84(constB125, 1) | v84(constB125, 0) | (~v84(constB125, 2))))))),
% 15.98/11.12 inference(transitivity,[status(thm)],[18457, 18455])).
% 15.98/11.12 tff(18459,plain,
% 15.98/11.12 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB125) <=> (~(v84(constB125, 0) | v84(constB125, 1) | (~v84(constB125, 2)))))),
% 15.98/11.12 inference(quant_inst,[status(thm)],[])).
% 15.98/11.12 tff(18460,plain,
% 15.98/11.12 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB125) <=> (~(v84(constB125, 1) | v84(constB125, 0) | (~v84(constB125, 2)))))),
% 15.98/11.12 inference(modus_ponens,[status(thm)],[18459, 18458])).
% 15.98/11.12 tff(18461,plain,
% 15.98/11.12 (v117(constB125) <=> (~(v84(constB125, 1) | v84(constB125, 0) | (~v84(constB125, 2))))),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18460, 1199])).
% 15.98/11.12 tff(18462,plain,
% 15.98/11.12 ((v84(constB125, 1) | v84(constB125, 0) | (~v84(constB125, 2))) | (~v84(constB125, 1))),
% 15.98/11.12 inference(tautology,[status(thm)],[])).
% 15.98/11.12 tff(18463,plain,
% 15.98/11.12 (v84(constB125, 1) | v84(constB125, 0) | (~v84(constB125, 2))),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18462, 18450])).
% 15.98/11.12 tff(18464,plain,
% 15.98/11.12 ((~(v117(constB125) <=> (~(v84(constB125, 1) | v84(constB125, 0) | (~v84(constB125, 2)))))) | (~v117(constB125)) | (~(v84(constB125, 1) | v84(constB125, 0) | (~v84(constB125, 2))))),
% 15.98/11.12 inference(tautology,[status(thm)],[])).
% 15.98/11.12 tff(18465,plain,
% 15.98/11.12 (~v117(constB125)),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18464, 18463, 18461])).
% 15.98/11.12 tff(18466,plain,
% 15.98/11.12 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB125) <=> (~(v84(constB125, 2) | (~v84(constB125, 1)) | (~v84(constB125, 0)))))),
% 15.98/11.12 inference(quant_inst,[status(thm)],[])).
% 15.98/11.12 tff(18467,plain,
% 15.98/11.12 (v116(constB125) <=> (~(v84(constB125, 2) | (~v84(constB125, 1)) | (~v84(constB125, 0))))),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18466, 911])).
% 15.98/11.12 tff(18468,plain,
% 15.98/11.12 ((v84(constB125, 2) | (~v84(constB125, 1)) | (~v84(constB125, 0))) | (~v84(constB125, 2))),
% 15.98/11.12 inference(tautology,[status(thm)],[])).
% 15.98/11.12 tff(18469,plain,
% 15.98/11.12 (v84(constB125, 2) | (~v84(constB125, 1)) | (~v84(constB125, 0))),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18468, 18421])).
% 15.98/11.12 tff(18470,plain,
% 15.98/11.12 ((~(v116(constB125) <=> (~(v84(constB125, 2) | (~v84(constB125, 1)) | (~v84(constB125, 0)))))) | (~v116(constB125)) | (~(v84(constB125, 2) | (~v84(constB125, 1)) | (~v84(constB125, 0))))),
% 15.98/11.12 inference(tautology,[status(thm)],[])).
% 15.98/11.12 tff(18471,plain,
% 15.98/11.12 (~v116(constB125)),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18470, 18469, 18467])).
% 15.98/11.12 tff(18472,plain,
% 15.98/11.12 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB125) <=> (~(v84(constB125, 2) | v84(constB125, 0) | (~v84(constB125, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB125) <=> (~(v84(constB125, 2) | v84(constB125, 0) | (~v84(constB125, 1))))))),
% 15.98/11.12 inference(rewrite,[status(thm)],[])).
% 15.98/11.12 tff(18473,plain,
% 15.98/11.12 ((v115(constB125) <=> (~(v84(constB125, 0) | v84(constB125, 2) | (~v84(constB125, 1))))) <=> (v115(constB125) <=> (~(v84(constB125, 2) | v84(constB125, 0) | (~v84(constB125, 1)))))),
% 15.98/11.12 inference(rewrite,[status(thm)],[])).
% 15.98/11.12 tff(18474,plain,
% 15.98/11.12 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB125) <=> (~(v84(constB125, 0) | v84(constB125, 2) | (~v84(constB125, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB125) <=> (~(v84(constB125, 2) | v84(constB125, 0) | (~v84(constB125, 1))))))),
% 15.98/11.12 inference(monotonicity,[status(thm)],[18473])).
% 15.98/11.12 tff(18475,plain,
% 15.98/11.12 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB125) <=> (~(v84(constB125, 0) | v84(constB125, 2) | (~v84(constB125, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB125) <=> (~(v84(constB125, 2) | v84(constB125, 0) | (~v84(constB125, 1))))))),
% 15.98/11.12 inference(transitivity,[status(thm)],[18474, 18472])).
% 15.98/11.12 tff(18476,plain,
% 15.98/11.12 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB125) <=> (~(v84(constB125, 0) | v84(constB125, 2) | (~v84(constB125, 1)))))),
% 15.98/11.12 inference(quant_inst,[status(thm)],[])).
% 15.98/11.12 tff(18477,plain,
% 15.98/11.12 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB125) <=> (~(v84(constB125, 2) | v84(constB125, 0) | (~v84(constB125, 1)))))),
% 15.98/11.12 inference(modus_ponens,[status(thm)],[18476, 18475])).
% 15.98/11.12 tff(18478,plain,
% 15.98/11.12 (v115(constB125) <=> (~(v84(constB125, 2) | v84(constB125, 0) | (~v84(constB125, 1))))),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18477, 985])).
% 15.98/11.12 tff(18479,plain,
% 15.98/11.12 ((v84(constB125, 2) | v84(constB125, 0) | (~v84(constB125, 1))) | (~v84(constB125, 2))),
% 15.98/11.12 inference(tautology,[status(thm)],[])).
% 15.98/11.12 tff(18480,plain,
% 15.98/11.12 (v84(constB125, 2) | v84(constB125, 0) | (~v84(constB125, 1))),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18479, 18421])).
% 15.98/11.12 tff(18481,plain,
% 15.98/11.12 ((~(v115(constB125) <=> (~(v84(constB125, 2) | v84(constB125, 0) | (~v84(constB125, 1)))))) | (~v115(constB125)) | (~(v84(constB125, 2) | v84(constB125, 0) | (~v84(constB125, 1))))),
% 15.98/11.12 inference(tautology,[status(thm)],[])).
% 15.98/11.12 tff(18482,plain,
% 15.98/11.12 (~v115(constB125)),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18481, 18480, 18478])).
% 15.98/11.12 tff(18483,plain,
% 15.98/11.12 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB125) <=> (~(v84(constB125, 1) | v84(constB125, 2) | (~v84(constB125, 0)))))),
% 15.98/11.12 inference(quant_inst,[status(thm)],[])).
% 15.98/11.12 tff(18484,plain,
% 15.98/11.12 (v114(constB125) <=> (~(v84(constB125, 1) | v84(constB125, 2) | (~v84(constB125, 0))))),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18483, 1064])).
% 15.98/11.12 tff(18485,plain,
% 15.98/11.12 ((v84(constB125, 1) | v84(constB125, 2) | (~v84(constB125, 0))) | (~v84(constB125, 2))),
% 15.98/11.12 inference(tautology,[status(thm)],[])).
% 15.98/11.12 tff(18486,plain,
% 15.98/11.12 (v84(constB125, 1) | v84(constB125, 2) | (~v84(constB125, 0))),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18485, 18421])).
% 15.98/11.12 tff(18487,plain,
% 15.98/11.12 ((~(v114(constB125) <=> (~(v84(constB125, 1) | v84(constB125, 2) | (~v84(constB125, 0)))))) | (~v114(constB125)) | (~(v84(constB125, 1) | v84(constB125, 2) | (~v84(constB125, 0))))),
% 15.98/11.12 inference(tautology,[status(thm)],[])).
% 15.98/11.12 tff(18488,plain,
% 15.98/11.12 (~v114(constB125)),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18487, 18486, 18484])).
% 15.98/11.12 tff(18489,plain,
% 15.98/11.12 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB125) | v114(constB125) | v115(constB125) | v116(constB125) | v117(constB125) | v118(constB125) | (~(v124(constB125, 2) | v124(constB125, 1) | (~v124(constB125, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB125) | v114(constB125) | v115(constB125) | v116(constB125) | v117(constB125) | v118(constB125) | (~(v124(constB125, 2) | v124(constB125, 1) | (~v124(constB125, 0)))))),
% 15.98/11.12 inference(rewrite,[status(thm)],[])).
% 15.98/11.12 tff(18490,plain,
% 15.98/11.12 ((v118(constB125) | v117(constB125) | v116(constB125) | v115(constB125) | v114(constB125) | v113(constB125) | (~(v124(constB125, 2) | v124(constB125, 1) | (~v124(constB125, 0))))) <=> (v113(constB125) | v114(constB125) | v115(constB125) | v116(constB125) | v117(constB125) | v118(constB125) | (~(v124(constB125, 2) | v124(constB125, 1) | (~v124(constB125, 0)))))),
% 15.98/11.12 inference(rewrite,[status(thm)],[])).
% 15.98/11.12 tff(18491,plain,
% 15.98/11.12 ((~(v124(constB125, 1) | v124(constB125, 2) | (~v124(constB125, 0)))) <=> (~(v124(constB125, 2) | v124(constB125, 1) | (~v124(constB125, 0))))),
% 15.98/11.12 inference(rewrite,[status(thm)],[])).
% 15.98/11.12 tff(18492,plain,
% 15.98/11.12 ((v118(constB125) | v117(constB125) | v116(constB125) | v115(constB125) | v114(constB125) | v113(constB125) | (~(v124(constB125, 1) | v124(constB125, 2) | (~v124(constB125, 0))))) <=> (v118(constB125) | v117(constB125) | v116(constB125) | v115(constB125) | v114(constB125) | v113(constB125) | (~(v124(constB125, 2) | v124(constB125, 1) | (~v124(constB125, 0)))))),
% 15.98/11.12 inference(monotonicity,[status(thm)],[18491])).
% 15.98/11.12 tff(18493,plain,
% 15.98/11.12 ((v118(constB125) | v117(constB125) | v116(constB125) | v115(constB125) | v114(constB125) | v113(constB125) | (~(v124(constB125, 1) | v124(constB125, 2) | (~v124(constB125, 0))))) <=> (v113(constB125) | v114(constB125) | v115(constB125) | v116(constB125) | v117(constB125) | v118(constB125) | (~(v124(constB125, 2) | v124(constB125, 1) | (~v124(constB125, 0)))))),
% 15.98/11.12 inference(transitivity,[status(thm)],[18492, 18490])).
% 15.98/11.12 tff(18494,plain,
% 15.98/11.12 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB125) | v117(constB125) | v116(constB125) | v115(constB125) | v114(constB125) | v113(constB125) | (~(v124(constB125, 1) | v124(constB125, 2) | (~v124(constB125, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB125) | v114(constB125) | v115(constB125) | v116(constB125) | v117(constB125) | v118(constB125) | (~(v124(constB125, 2) | v124(constB125, 1) | (~v124(constB125, 0))))))),
% 15.98/11.12 inference(monotonicity,[status(thm)],[18493])).
% 15.98/11.12 tff(18495,plain,
% 15.98/11.12 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB125) | v117(constB125) | v116(constB125) | v115(constB125) | v114(constB125) | v113(constB125) | (~(v124(constB125, 1) | v124(constB125, 2) | (~v124(constB125, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB125) | v114(constB125) | v115(constB125) | v116(constB125) | v117(constB125) | v118(constB125) | (~(v124(constB125, 2) | v124(constB125, 1) | (~v124(constB125, 0)))))),
% 15.98/11.12 inference(transitivity,[status(thm)],[18494, 18489])).
% 15.98/11.12 tff(18496,plain,
% 15.98/11.12 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB125) | v117(constB125) | v116(constB125) | v115(constB125) | v114(constB125) | v113(constB125) | (~(v124(constB125, 1) | v124(constB125, 2) | (~v124(constB125, 0)))))),
% 15.98/11.12 inference(quant_inst,[status(thm)],[])).
% 15.98/11.12 tff(18497,plain,
% 15.98/11.12 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB125) | v114(constB125) | v115(constB125) | v116(constB125) | v117(constB125) | v118(constB125) | (~(v124(constB125, 2) | v124(constB125, 1) | (~v124(constB125, 0))))),
% 15.98/11.12 inference(modus_ponens,[status(thm)],[18496, 18495])).
% 15.98/11.12 tff(18498,plain,
% 15.98/11.12 (v113(constB125) | v114(constB125) | v115(constB125) | v116(constB125) | v117(constB125) | v118(constB125) | (~(v124(constB125, 2) | v124(constB125, 1) | (~v124(constB125, 0))))),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18497, 2777])).
% 15.98/11.12 tff(18499,plain,
% 15.98/11.12 (~(v124(constB125, 2) | v124(constB125, 1) | (~v124(constB125, 0)))),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18498, 18488, 18482, 18471, 18465, 18454, 18425])).
% 15.98/11.12 tff(18500,plain,
% 15.98/11.12 ((v124(constB125, 2) | v124(constB125, 1) | (~v124(constB125, 0))) | (~v124(constB125, 2))),
% 15.98/11.12 inference(tautology,[status(thm)],[])).
% 15.98/11.12 tff(18501,plain,
% 15.98/11.12 (~v124(constB125, 2)),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18500, 18499])).
% 15.98/11.12 tff(18502,plain,
% 15.98/11.12 (((~v121(constB125, 2)) <=> v124(constB125, 2)) | (~v121(constB125, 2)) | v124(constB125, 2)),
% 15.98/11.12 inference(tautology,[status(thm)],[])).
% 15.98/11.12 tff(18503,plain,
% 15.98/11.12 (~v121(constB125, 2)),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18502, 18501, 15817])).
% 15.98/11.12 tff(18504,plain,
% 15.98/11.12 (((~v123(constB126, 2)) <=> v121(constB125, 2)) | (~v123(constB126, 2)) | v121(constB125, 2)),
% 15.98/11.12 inference(tautology,[status(thm)],[])).
% 15.98/11.12 tff(18505,plain,
% 15.98/11.12 (~v123(constB126, 2)),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18504, 18503, 15803])).
% 15.98/11.12 tff(18506,plain,
% 15.98/11.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB125, constB126)) | (v94(constB126) <=> (~((~v95(constB126)) | (~v104(constB126))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB125, constB126)) | (v94(constB126) <=> (~((~v95(constB126)) | (~v104(constB126))))))),
% 15.98/11.12 inference(rewrite,[status(thm)],[])).
% 15.98/11.12 tff(18507,plain,
% 15.98/11.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB125, constB126)) | (v94(constB126) <=> (~((~v95(constB126)) | (~v104(constB126))))))),
% 15.98/11.12 inference(quant_inst,[status(thm)],[])).
% 15.98/11.12 tff(18508,plain,
% 15.98/11.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB125, constB126)) | (v94(constB126) <=> (~((~v95(constB126)) | (~v104(constB126)))))),
% 15.98/11.12 inference(modus_ponens,[status(thm)],[18507, 18506])).
% 15.98/11.12 tff(18509,plain,
% 15.98/11.12 (v94(constB126) <=> (~((~v95(constB126)) | (~v104(constB126))))),
% 15.98/11.12 inference(unit_resolution,[status(thm)],[18508, 15797, 770])).
% 15.98/11.12 tff(18510,plain,
% 15.98/11.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126))))))),
% 15.98/11.13 inference(rewrite,[status(thm)],[])).
% 15.98/11.13 tff(18511,plain,
% 15.98/11.13 (((~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v96(constB126)) | (~v1(constB126)))))) <=> ((~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126))))))),
% 15.98/11.13 inference(rewrite,[status(thm)],[])).
% 15.98/11.13 tff(18512,plain,
% 15.98/11.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v96(constB126)) | (~v1(constB126))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126)))))))),
% 15.98/11.13 inference(monotonicity,[status(thm)],[18511])).
% 15.98/11.13 tff(18513,plain,
% 15.98/11.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v96(constB126)) | (~v1(constB126))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126))))))),
% 15.98/11.13 inference(transitivity,[status(thm)],[18512, 18510])).
% 15.98/11.13 tff(18514,plain,
% 15.98/11.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v96(constB126)) | (~v1(constB126))))))),
% 15.98/11.13 inference(quant_inst,[status(thm)],[])).
% 15.98/11.13 tff(18515,plain,
% 15.98/11.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126)))))),
% 15.98/11.13 inference(modus_ponens,[status(thm)],[18514, 18513])).
% 15.98/11.13 tff(18516,plain,
% 15.98/11.13 (v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126))))),
% 15.98/11.13 inference(unit_resolution,[status(thm)],[18515, 15797, 790])).
% 15.98/11.13 tff(18517,plain,
% 15.98/11.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB125, constB126)) | ((~v96(constB126)) <=> v98(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB125, constB126)) | ((~v96(constB126)) <=> v98(constB126)))),
% 15.98/11.13 inference(rewrite,[status(thm)],[])).
% 15.98/11.13 tff(18518,plain,
% 15.98/11.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB125, constB126)) | ((~v96(constB126)) <=> v98(constB126)))),
% 15.98/11.13 inference(quant_inst,[status(thm)],[])).
% 15.98/11.13 tff(18519,plain,
% 15.98/11.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB125, constB126)) | ((~v96(constB126)) <=> v98(constB126))),
% 15.98/11.13 inference(modus_ponens,[status(thm)],[18518, 18517])).
% 15.98/11.13 tff(18520,plain,
% 15.98/11.13 ((~v96(constB126)) <=> v98(constB126)),
% 15.98/11.13 inference(unit_resolution,[status(thm)],[18519, 15797, 2332])).
% 15.98/11.13 tff(18521,plain,
% 15.98/11.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB125, constB126)) | (v98(constB126) <=> v1(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB125, constB126)) | (v98(constB126) <=> v1(constB125)))),
% 15.98/11.13 inference(rewrite,[status(thm)],[])).
% 15.98/11.13 tff(18522,plain,
% 15.98/11.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB125, constB126)) | (v98(constB126) <=> v1(constB125)))),
% 15.98/11.13 inference(quant_inst,[status(thm)],[])).
% 15.98/11.13 tff(18523,plain,
% 15.98/11.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB125, constB126)) | (v98(constB126) <=> v1(constB125))),
% 15.98/11.13 inference(modus_ponens,[status(thm)],[18522, 18521])).
% 15.98/11.13 tff(18524,plain,
% 15.98/11.13 (v98(constB126) <=> v1(constB125)),
% 15.98/11.13 inference(unit_resolution,[status(thm)],[18523, 15797, 2346])).
% 15.98/11.13 tff(18525,plain,
% 15.98/11.13 ((~(v98(constB126) <=> v1(constB125))) | (~v98(constB126)) | v1(constB125)),
% 15.98/11.13 inference(tautology,[status(thm)],[])).
% 15.98/11.13 tff(18526,plain,
% 15.98/11.13 ((~(v98(constB126) <=> v1(constB125))) | (~v98(constB126))),
% 15.98/11.13 inference(unit_resolution,[status(thm)],[18525, 15836])).
% 15.98/11.13 tff(18527,plain,
% 15.98/11.13 (~v98(constB126)),
% 15.98/11.13 inference(unit_resolution,[status(thm)],[18526, 18524])).
% 15.98/11.13 tff(18528,plain,
% 15.98/11.13 ((~((~v96(constB126)) <=> v98(constB126))) | v96(constB126) | v98(constB126)),
% 15.98/11.13 inference(tautology,[status(thm)],[])).
% 15.98/11.13 tff(18529,plain,
% 15.98/11.13 (v96(constB126)),
% 15.98/11.13 inference(unit_resolution,[status(thm)],[18528, 18527, 18520])).
% 15.98/11.13 tff(18530,plain,
% 15.98/11.13 (v1(constB126) <=> v1(constB126)),
% 15.98/11.13 inference(rewrite,[status(thm)],[])).
% 15.98/11.13 tff(18531,axiom,(v1(constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_126')).
% 15.98/11.13 tff(18532,plain,
% 15.98/11.13 (v1(constB126)),
% 15.98/11.13 inference(modus_ponens,[status(thm)],[18531, 18530])).
% 15.98/11.13 tff(18533,plain,
% 15.98/11.13 ((~((~v1(constB126)) | (~v96(constB126)))) | (~v1(constB126)) | (~v96(constB126))),
% 15.98/11.13 inference(tautology,[status(thm)],[])).
% 15.98/11.13 tff(18534,plain,
% 15.98/11.13 ((~((~v1(constB126)) | (~v96(constB126)))) | (~v96(constB126))),
% 15.98/11.13 inference(unit_resolution,[status(thm)],[18533, 18532])).
% 15.98/11.13 tff(18535,plain,
% 15.98/11.13 (~((~v1(constB126)) | (~v96(constB126)))),
% 15.98/11.13 inference(unit_resolution,[status(thm)],[18534, 18529])).
% 15.98/11.13 tff(18536,plain,
% 15.98/11.13 ((~(v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126)))))) | v95(constB126) | ((~v1(constB126)) | (~v96(constB126)))),
% 15.98/11.13 inference(tautology,[status(thm)],[])).
% 15.98/11.13 tff(18537,plain,
% 15.98/11.13 (v95(constB126)),
% 15.98/11.13 inference(unit_resolution,[status(thm)],[18536, 18535, 18516])).
% 15.98/11.13 tff(18538,plain,
% 15.98/11.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB125, constB126)) | (v104(constB126) <=> v102(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB125, constB126)) | (v104(constB126) <=> v102(constB125)))),
% 15.98/11.13 inference(rewrite,[status(thm)],[])).
% 15.98/11.13 tff(18539,plain,
% 15.98/11.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB125, constB126)) | (v104(constB126) <=> v102(constB125)))),
% 15.98/11.13 inference(quant_inst,[status(thm)],[])).
% 15.98/11.13 tff(18540,plain,
% 15.98/11.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB125, constB126)) | (v104(constB126) <=> v102(constB125))),
% 15.98/11.13 inference(modus_ponens,[status(thm)],[18539, 18538])).
% 15.98/11.13 tff(18541,plain,
% 15.98/11.13 (v104(constB126) <=> v102(constB125)),
% 15.98/11.13 inference(unit_resolution,[status(thm)],[18540, 15797, 2373])).
% 15.98/11.13 tff(18542,plain,
% 15.98/11.13 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB125) <=> (v105(constB125) | v106(constB125)))),
% 15.98/11.13 inference(quant_inst,[status(thm)],[])).
% 15.98/11.13 tff(18543,plain,
% 15.98/11.13 (v102(constB125) <=> (v105(constB125) | v106(constB125))),
% 15.98/11.13 inference(unit_resolution,[status(thm)],[18542, 2384])).
% 15.98/11.13 tff(18544,plain,
% 15.98/11.13 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB125) <=> (~((~v107(constB125)) | (~v120(constB125)))))),
% 16.00/11.13 inference(quant_inst,[status(thm)],[])).
% 16.00/11.13 tff(18545,plain,
% 16.00/11.13 (v106(constB125) <=> (~((~v107(constB125)) | (~v120(constB125))))),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18544, 2396])).
% 16.00/11.13 tff(18546,plain,
% 16.00/11.13 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB125) <=> (v108(constB125) | v119(constB125)))),
% 16.00/11.13 inference(quant_inst,[status(thm)],[])).
% 16.00/11.13 tff(18547,plain,
% 16.00/11.13 (v107(constB125) <=> (v108(constB125) | v119(constB125))),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18546, 2405])).
% 16.00/11.13 tff(18548,plain,
% 16.00/11.13 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB125) <=> (~(v84(constB125, 0) | (~v84(constB125, 1)) | (~v84(constB125, 2)))))),
% 16.00/11.13 inference(quant_inst,[status(thm)],[])).
% 16.00/11.13 tff(18549,plain,
% 16.00/11.13 (v119(constB125) <=> (~(v84(constB125, 0) | (~v84(constB125, 1)) | (~v84(constB125, 2))))),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18548, 2849])).
% 16.00/11.13 tff(18550,plain,
% 16.00/11.13 ((((~v84(constB125, 1)) <=> v84(constB124, 1)) | ((~v84(constB125, 2)) <=> v84(constB124, 2)) | ((~v84(constB125, 0)) <=> v84(constB124, 0))) | (~((~v84(constB125, 0)) <=> v84(constB124, 0)))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18551,plain,
% 16.00/11.13 (~((~v84(constB125, 0)) <=> v84(constB124, 0))),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18550, 15853])).
% 16.00/11.13 tff(18552,plain,
% 16.00/11.13 ((((~v123(constB124, 2)) <=> v121(constB123, 2)) | ((~v123(constB124, 1)) <=> v121(constB123, 1)) | ((~v123(constB124, 0)) <=> v121(constB123, 0))) | (~((~v123(constB124, 0)) <=> v121(constB123, 0)))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18553,plain,
% 16.00/11.13 (~((~v123(constB124, 0)) <=> v121(constB123, 0))),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18552, 15862])).
% 16.00/11.13 tff(18554,plain,
% 16.00/11.13 ((((~v121(constB123, 2)) <=> v124(constB123, 2)) | ((~v121(constB123, 0)) <=> v124(constB123, 0)) | ((~v121(constB123, 1)) <=> v124(constB123, 1))) | (~((~v121(constB123, 0)) <=> v124(constB123, 0)))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18555,plain,
% 16.00/11.13 (~((~v121(constB123, 0)) <=> v124(constB123, 0))),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18554, 15876])).
% 16.00/11.13 tff(18556,plain,
% 16.00/11.13 ((v124(constB123, 0) | (~v124(constB123, 2)) | (~v124(constB123, 1))) | (~v124(constB123, 0))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18557,plain,
% 16.00/11.13 (~v124(constB123, 0)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18556, 18326])).
% 16.00/11.13 tff(18558,plain,
% 16.00/11.13 (((~v121(constB123, 0)) <=> v124(constB123, 0)) | (~v121(constB123, 0)) | v124(constB123, 0)),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18559,plain,
% 16.00/11.13 (~v121(constB123, 0)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18558, 18557, 18555])).
% 16.00/11.13 tff(18560,plain,
% 16.00/11.13 (((~v123(constB124, 0)) <=> v121(constB123, 0)) | (~v123(constB124, 0)) | v121(constB123, 0)),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18561,plain,
% 16.00/11.13 (~v123(constB124, 0)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18560, 18559, 18553])).
% 16.00/11.13 tff(18562,plain,
% 16.00/11.13 ((((~v84(constB124, 2)) <=> v123(constB124, 2)) | ((~v84(constB124, 1)) <=> v123(constB124, 1)) | ((~v84(constB124, 0)) <=> v123(constB124, 0))) | (~((~v84(constB124, 0)) <=> v123(constB124, 0)))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18563,plain,
% 16.00/11.13 (~((~v84(constB124, 0)) <=> v123(constB124, 0))),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18562, 18415])).
% 16.00/11.13 tff(18564,plain,
% 16.00/11.13 (((~v84(constB124, 0)) <=> v123(constB124, 0)) | (~v84(constB124, 0)) | v123(constB124, 0)),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18565,plain,
% 16.00/11.13 (~v84(constB124, 0)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18564, 18563, 18561])).
% 16.00/11.13 tff(18566,plain,
% 16.00/11.13 (((~v84(constB125, 0)) <=> v84(constB124, 0)) | (~v84(constB125, 0)) | v84(constB124, 0)),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18567,plain,
% 16.00/11.13 (~v84(constB125, 0)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18566, 18565, 18551])).
% 16.00/11.13 tff(18568,plain,
% 16.00/11.13 ((~(v84(constB125, 0) | (~v84(constB125, 1)) | (~v84(constB125, 2)))) | v84(constB125, 0) | (~v84(constB125, 1)) | (~v84(constB125, 2))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18569,plain,
% 16.00/11.13 (~(v84(constB125, 0) | (~v84(constB125, 1)) | (~v84(constB125, 2)))),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18568, 18450, 18567, 18421])).
% 16.00/11.13 tff(18570,plain,
% 16.00/11.13 ((~(v119(constB125) <=> (~(v84(constB125, 0) | (~v84(constB125, 1)) | (~v84(constB125, 2)))))) | v119(constB125) | (v84(constB125, 0) | (~v84(constB125, 1)) | (~v84(constB125, 2)))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18571,plain,
% 16.00/11.13 (v119(constB125)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18570, 18569, 18549])).
% 16.00/11.13 tff(18572,plain,
% 16.00/11.13 ((v108(constB125) | v119(constB125)) | (~v119(constB125))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18573,plain,
% 16.00/11.13 (v108(constB125) | v119(constB125)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18572, 18571])).
% 16.00/11.13 tff(18574,plain,
% 16.00/11.13 ((~(v107(constB125) <=> (v108(constB125) | v119(constB125)))) | v107(constB125) | (~(v108(constB125) | v119(constB125)))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18575,plain,
% 16.00/11.13 (v107(constB125)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18574, 18573, 18547])).
% 16.00/11.13 tff(18576,plain,
% 16.00/11.13 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB125)) <=> v105(constB125))),
% 16.00/11.13 inference(quant_inst,[status(thm)],[])).
% 16.00/11.13 tff(18577,plain,
% 16.00/11.13 ((~v120(constB125)) <=> v105(constB125)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18576, 2484])).
% 16.00/11.13 tff(18578,plain,
% 16.00/11.13 ((~((~v120(constB125)) <=> v105(constB125))) | v120(constB125) | v105(constB125)),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18579,plain,
% 16.00/11.13 ((~((~v120(constB125)) <=> v105(constB125))) | v120(constB125)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18578, 15810])).
% 16.00/11.13 tff(18580,plain,
% 16.00/11.13 (v120(constB125)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18579, 18577])).
% 16.00/11.13 tff(18581,plain,
% 16.00/11.13 ((~((~v107(constB125)) | (~v120(constB125)))) | (~v107(constB125)) | (~v120(constB125))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18582,plain,
% 16.00/11.13 ((~((~v107(constB125)) | (~v120(constB125)))) | (~v107(constB125))),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18581, 18580])).
% 16.00/11.13 tff(18583,plain,
% 16.00/11.13 (~((~v107(constB125)) | (~v120(constB125)))),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18582, 18575])).
% 16.00/11.13 tff(18584,plain,
% 16.00/11.13 ((~(v106(constB125) <=> (~((~v107(constB125)) | (~v120(constB125)))))) | v106(constB125) | ((~v107(constB125)) | (~v120(constB125)))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18585,plain,
% 16.00/11.13 (v106(constB125)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18584, 18583, 18545])).
% 16.00/11.13 tff(18586,plain,
% 16.00/11.13 ((v105(constB125) | v106(constB125)) | (~v106(constB125))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18587,plain,
% 16.00/11.13 (v105(constB125) | v106(constB125)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18586, 18585])).
% 16.00/11.13 tff(18588,plain,
% 16.00/11.13 ((~(v102(constB125) <=> (v105(constB125) | v106(constB125)))) | v102(constB125) | (~(v105(constB125) | v106(constB125)))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18589,plain,
% 16.00/11.13 (v102(constB125)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18588, 18587, 18543])).
% 16.00/11.13 tff(18590,plain,
% 16.00/11.13 ((~(v104(constB126) <=> v102(constB125))) | v104(constB126) | (~v102(constB125))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18591,plain,
% 16.00/11.13 (v104(constB126)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18590, 18589, 18541])).
% 16.00/11.13 tff(18592,plain,
% 16.00/11.13 ((~((~v95(constB126)) | (~v104(constB126)))) | (~v95(constB126)) | (~v104(constB126))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18593,plain,
% 16.00/11.13 (~((~v95(constB126)) | (~v104(constB126)))),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18592, 18591, 18537])).
% 16.00/11.13 tff(18594,plain,
% 16.00/11.13 ((~(v94(constB126) <=> (~((~v95(constB126)) | (~v104(constB126)))))) | v94(constB126) | ((~v95(constB126)) | (~v104(constB126)))),
% 16.00/11.13 inference(tautology,[status(thm)],[])).
% 16.00/11.13 tff(18595,plain,
% 16.00/11.13 (v94(constB126)),
% 16.00/11.13 inference(unit_resolution,[status(thm)],[18594, 18593, 18509])).
% 16.00/11.13 tff(18596,plain,
% 16.00/11.13 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB126)) | (~(((~v84(constB126, 0)) <=> v123(constB126, 0)) | ((~v84(constB126, 2)) <=> v123(constB126, 2)) | ((~v84(constB126, 1)) <=> v123(constB126, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB126)) | (~(((~v84(constB126, 0)) <=> v123(constB126, 0)) | ((~v84(constB126, 2)) <=> v123(constB126, 2)) | ((~v84(constB126, 1)) <=> v123(constB126, 1)))))),
% 16.00/11.14 inference(rewrite,[status(thm)],[])).
% 16.00/11.14 tff(18597,plain,
% 16.00/11.14 (((~v94(constB126)) | (~(((~v84(constB126, 2)) <=> v123(constB126, 2)) | ((~v84(constB126, 1)) <=> v123(constB126, 1)) | ((~v84(constB126, 0)) <=> v123(constB126, 0))))) <=> ((~v94(constB126)) | (~(((~v84(constB126, 0)) <=> v123(constB126, 0)) | ((~v84(constB126, 2)) <=> v123(constB126, 2)) | ((~v84(constB126, 1)) <=> v123(constB126, 1)))))),
% 16.00/11.14 inference(rewrite,[status(thm)],[])).
% 16.00/11.14 tff(18598,plain,
% 16.00/11.14 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB126)) | (~(((~v84(constB126, 2)) <=> v123(constB126, 2)) | ((~v84(constB126, 1)) <=> v123(constB126, 1)) | ((~v84(constB126, 0)) <=> v123(constB126, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB126)) | (~(((~v84(constB126, 0)) <=> v123(constB126, 0)) | ((~v84(constB126, 2)) <=> v123(constB126, 2)) | ((~v84(constB126, 1)) <=> v123(constB126, 1))))))),
% 16.00/11.14 inference(monotonicity,[status(thm)],[18597])).
% 16.00/11.14 tff(18599,plain,
% 16.00/11.14 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB126)) | (~(((~v84(constB126, 2)) <=> v123(constB126, 2)) | ((~v84(constB126, 1)) <=> v123(constB126, 1)) | ((~v84(constB126, 0)) <=> v123(constB126, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB126)) | (~(((~v84(constB126, 0)) <=> v123(constB126, 0)) | ((~v84(constB126, 2)) <=> v123(constB126, 2)) | ((~v84(constB126, 1)) <=> v123(constB126, 1)))))),
% 16.00/11.14 inference(transitivity,[status(thm)],[18598, 18596])).
% 16.00/11.14 tff(18600,plain,
% 16.00/11.14 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB126)) | (~(((~v84(constB126, 2)) <=> v123(constB126, 2)) | ((~v84(constB126, 1)) <=> v123(constB126, 1)) | ((~v84(constB126, 0)) <=> v123(constB126, 0)))))),
% 16.00/11.14 inference(quant_inst,[status(thm)],[])).
% 16.00/11.14 tff(18601,plain,
% 16.00/11.14 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB126)) | (~(((~v84(constB126, 0)) <=> v123(constB126, 0)) | ((~v84(constB126, 2)) <=> v123(constB126, 2)) | ((~v84(constB126, 1)) <=> v123(constB126, 1))))),
% 16.00/11.14 inference(modus_ponens,[status(thm)],[18600, 18599])).
% 16.00/11.14 tff(18602,plain,
% 16.00/11.14 ((~v94(constB126)) | (~(((~v84(constB126, 0)) <=> v123(constB126, 0)) | ((~v84(constB126, 2)) <=> v123(constB126, 2)) | ((~v84(constB126, 1)) <=> v123(constB126, 1))))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18601, 2517])).
% 16.00/11.14 tff(18603,plain,
% 16.00/11.14 (~(((~v84(constB126, 0)) <=> v123(constB126, 0)) | ((~v84(constB126, 2)) <=> v123(constB126, 2)) | ((~v84(constB126, 1)) <=> v123(constB126, 1)))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18602, 18595])).
% 16.00/11.14 tff(18604,plain,
% 16.00/11.14 ((((~v84(constB126, 0)) <=> v123(constB126, 0)) | ((~v84(constB126, 2)) <=> v123(constB126, 2)) | ((~v84(constB126, 1)) <=> v123(constB126, 1))) | (~((~v84(constB126, 2)) <=> v123(constB126, 2)))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18605,plain,
% 16.00/11.14 (~((~v84(constB126, 2)) <=> v123(constB126, 2))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18604, 18603])).
% 16.00/11.14 tff(18606,plain,
% 16.00/11.14 (((~v84(constB126, 2)) <=> v123(constB126, 2)) | (~v84(constB126, 2)) | v123(constB126, 2)),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18607,plain,
% 16.00/11.14 (~v84(constB126, 2)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18606, 18605, 18505])).
% 16.00/11.14 tff(18608,plain,
% 16.00/11.14 (((~v84(constB127, 2)) <=> v84(constB126, 2)) | (~v84(constB127, 2)) | v84(constB126, 2)),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18609,plain,
% 16.00/11.14 (~v84(constB127, 2)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18608, 18607, 15794])).
% 16.00/11.14 tff(18610,plain,
% 16.00/11.14 ((((~v84(constB127, 1)) <=> v84(constB126, 1)) | ((~v84(constB127, 2)) <=> v84(constB126, 2)) | ((~v84(constB127, 0)) <=> v84(constB126, 0))) | (~((~v84(constB127, 0)) <=> v84(constB126, 0)))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18611,plain,
% 16.00/11.14 (~((~v84(constB127, 0)) <=> v84(constB126, 0))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18610, 15792])).
% 16.00/11.14 tff(18612,plain,
% 16.00/11.14 ((((~v123(constB126, 2)) <=> v121(constB125, 2)) | ((~v123(constB126, 1)) <=> v121(constB125, 1)) | ((~v123(constB126, 0)) <=> v121(constB125, 0))) | (~((~v123(constB126, 0)) <=> v121(constB125, 0)))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18613,plain,
% 16.00/11.14 (~((~v123(constB126, 0)) <=> v121(constB125, 0))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18612, 15801])).
% 16.00/11.14 tff(18614,plain,
% 16.00/11.14 ((((~v121(constB125, 2)) <=> v124(constB125, 2)) | ((~v121(constB125, 0)) <=> v124(constB125, 0)) | ((~v121(constB125, 1)) <=> v124(constB125, 1))) | (~((~v121(constB125, 0)) <=> v124(constB125, 0)))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18615,plain,
% 16.00/11.14 (~((~v121(constB125, 0)) <=> v124(constB125, 0))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18614, 15815])).
% 16.00/11.14 tff(18616,plain,
% 16.00/11.14 ((v124(constB125, 2) | v124(constB125, 1) | (~v124(constB125, 0))) | v124(constB125, 0)),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18617,plain,
% 16.00/11.14 (v124(constB125, 0)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18616, 18499])).
% 16.00/11.14 tff(18618,plain,
% 16.00/11.14 (((~v121(constB125, 0)) <=> v124(constB125, 0)) | v121(constB125, 0) | (~v124(constB125, 0))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18619,plain,
% 16.00/11.14 (v121(constB125, 0)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18618, 18617, 18615])).
% 16.00/11.14 tff(18620,plain,
% 16.00/11.14 (((~v123(constB126, 0)) <=> v121(constB125, 0)) | v123(constB126, 0) | (~v121(constB125, 0))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18621,plain,
% 16.00/11.14 (v123(constB126, 0)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18620, 18619, 18613])).
% 16.00/11.14 tff(18622,plain,
% 16.00/11.14 ((((~v84(constB126, 0)) <=> v123(constB126, 0)) | ((~v84(constB126, 2)) <=> v123(constB126, 2)) | ((~v84(constB126, 1)) <=> v123(constB126, 1))) | (~((~v84(constB126, 0)) <=> v123(constB126, 0)))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18623,plain,
% 16.00/11.14 (~((~v84(constB126, 0)) <=> v123(constB126, 0))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18622, 18603])).
% 16.00/11.14 tff(18624,plain,
% 16.00/11.14 (((~v84(constB126, 0)) <=> v123(constB126, 0)) | v84(constB126, 0) | (~v123(constB126, 0))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18625,plain,
% 16.00/11.14 (v84(constB126, 0)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18624, 18623, 18621])).
% 16.00/11.14 tff(18626,plain,
% 16.00/11.14 (((~v84(constB127, 0)) <=> v84(constB126, 0)) | v84(constB127, 0) | (~v84(constB126, 0))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18627,plain,
% 16.00/11.14 (v84(constB127, 0)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18626, 18625, 18611])).
% 16.00/11.14 tff(18628,plain,
% 16.00/11.14 ((((~v84(constB127, 1)) <=> v84(constB126, 1)) | ((~v84(constB127, 2)) <=> v84(constB126, 2)) | ((~v84(constB127, 0)) <=> v84(constB126, 0))) | (~((~v84(constB127, 1)) <=> v84(constB126, 1)))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18629,plain,
% 16.00/11.14 (~((~v84(constB127, 1)) <=> v84(constB126, 1))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18628, 15792])).
% 16.00/11.14 tff(18630,plain,
% 16.00/11.14 ((((~v123(constB126, 2)) <=> v121(constB125, 2)) | ((~v123(constB126, 1)) <=> v121(constB125, 1)) | ((~v123(constB126, 0)) <=> v121(constB125, 0))) | (~((~v123(constB126, 1)) <=> v121(constB125, 1)))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18631,plain,
% 16.00/11.14 (~((~v123(constB126, 1)) <=> v121(constB125, 1))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18630, 15801])).
% 16.00/11.14 tff(18632,plain,
% 16.00/11.14 ((((~v121(constB125, 2)) <=> v124(constB125, 2)) | ((~v121(constB125, 0)) <=> v124(constB125, 0)) | ((~v121(constB125, 1)) <=> v124(constB125, 1))) | (~((~v121(constB125, 1)) <=> v124(constB125, 1)))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18633,plain,
% 16.00/11.14 (~((~v121(constB125, 1)) <=> v124(constB125, 1))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18632, 15815])).
% 16.00/11.14 tff(18634,plain,
% 16.00/11.14 ((v124(constB125, 2) | v124(constB125, 1) | (~v124(constB125, 0))) | (~v124(constB125, 1))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18635,plain,
% 16.00/11.14 (~v124(constB125, 1)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18634, 18499])).
% 16.00/11.14 tff(18636,plain,
% 16.00/11.14 (((~v121(constB125, 1)) <=> v124(constB125, 1)) | (~v121(constB125, 1)) | v124(constB125, 1)),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18637,plain,
% 16.00/11.14 (~v121(constB125, 1)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18636, 18635, 18633])).
% 16.00/11.14 tff(18638,plain,
% 16.00/11.14 (((~v123(constB126, 1)) <=> v121(constB125, 1)) | (~v123(constB126, 1)) | v121(constB125, 1)),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18639,plain,
% 16.00/11.14 (~v123(constB126, 1)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18638, 18637, 18631])).
% 16.00/11.14 tff(18640,plain,
% 16.00/11.14 ((((~v84(constB126, 0)) <=> v123(constB126, 0)) | ((~v84(constB126, 2)) <=> v123(constB126, 2)) | ((~v84(constB126, 1)) <=> v123(constB126, 1))) | (~((~v84(constB126, 1)) <=> v123(constB126, 1)))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18641,plain,
% 16.00/11.14 (~((~v84(constB126, 1)) <=> v123(constB126, 1))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18640, 18603])).
% 16.00/11.14 tff(18642,plain,
% 16.00/11.14 (((~v84(constB126, 1)) <=> v123(constB126, 1)) | (~v84(constB126, 1)) | v123(constB126, 1)),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18643,plain,
% 16.00/11.14 (~v84(constB126, 1)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18642, 18641, 18639])).
% 16.00/11.14 tff(18644,plain,
% 16.00/11.14 (((~v84(constB127, 1)) <=> v84(constB126, 1)) | (~v84(constB127, 1)) | v84(constB126, 1)),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18645,plain,
% 16.00/11.14 (~v84(constB127, 1)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18644, 18643, 18629])).
% 16.00/11.14 tff(18646,plain,
% 16.00/11.14 ((~(v84(constB127, 1) | v84(constB127, 2) | (~v84(constB127, 0)))) | v84(constB127, 1) | v84(constB127, 2) | (~v84(constB127, 0))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18647,plain,
% 16.00/11.14 (~(v84(constB127, 1) | v84(constB127, 2) | (~v84(constB127, 0)))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18646, 18645, 18627, 18609])).
% 16.00/11.14 tff(18648,plain,
% 16.00/11.14 ((~(v114(constB127) <=> (~(v84(constB127, 1) | v84(constB127, 2) | (~v84(constB127, 0)))))) | v114(constB127) | (v84(constB127, 1) | v84(constB127, 2) | (~v84(constB127, 0)))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18649,plain,
% 16.00/11.14 (v114(constB127)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18648, 18647, 15758])).
% 16.00/11.14 tff(18650,plain,
% 16.00/11.14 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB127)) | (~(v124(constB127, 2) | v124(constB127, 0) | (~v124(constB127, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB127)) | (~(v124(constB127, 2) | v124(constB127, 0) | (~v124(constB127, 1)))))),
% 16.00/11.14 inference(rewrite,[status(thm)],[])).
% 16.00/11.14 tff(18651,plain,
% 16.00/11.14 (((~v114(constB127)) | (~(v124(constB127, 0) | v124(constB127, 2) | (~v124(constB127, 1))))) <=> ((~v114(constB127)) | (~(v124(constB127, 2) | v124(constB127, 0) | (~v124(constB127, 1)))))),
% 16.00/11.14 inference(rewrite,[status(thm)],[])).
% 16.00/11.14 tff(18652,plain,
% 16.00/11.14 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB127)) | (~(v124(constB127, 0) | v124(constB127, 2) | (~v124(constB127, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB127)) | (~(v124(constB127, 2) | v124(constB127, 0) | (~v124(constB127, 1))))))),
% 16.00/11.14 inference(monotonicity,[status(thm)],[18651])).
% 16.00/11.14 tff(18653,plain,
% 16.00/11.14 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB127)) | (~(v124(constB127, 0) | v124(constB127, 2) | (~v124(constB127, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB127)) | (~(v124(constB127, 2) | v124(constB127, 0) | (~v124(constB127, 1)))))),
% 16.00/11.14 inference(transitivity,[status(thm)],[18652, 18650])).
% 16.00/11.14 tff(18654,plain,
% 16.00/11.14 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB127)) | (~(v124(constB127, 0) | v124(constB127, 2) | (~v124(constB127, 1)))))),
% 16.00/11.14 inference(quant_inst,[status(thm)],[])).
% 16.00/11.14 tff(18655,plain,
% 16.00/11.14 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB127)) | (~(v124(constB127, 2) | v124(constB127, 0) | (~v124(constB127, 1))))),
% 16.00/11.14 inference(modus_ponens,[status(thm)],[18654, 18653])).
% 16.00/11.14 tff(18656,plain,
% 16.00/11.14 ((~v114(constB127)) | (~(v124(constB127, 2) | v124(constB127, 0) | (~v124(constB127, 1))))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18655, 2964])).
% 16.00/11.14 tff(18657,plain,
% 16.00/11.14 (~(v124(constB127, 2) | v124(constB127, 0) | (~v124(constB127, 1)))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18656, 18649])).
% 16.00/11.14 tff(18658,plain,
% 16.00/11.14 ((v124(constB127, 2) | v124(constB127, 0) | (~v124(constB127, 1))) | (~v124(constB127, 2))),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18659,plain,
% 16.00/11.14 (~v124(constB127, 2)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18658, 18657])).
% 16.00/11.14 tff(18660,plain,
% 16.00/11.14 (((~v121(constB127, 2)) <=> v124(constB127, 2)) | (~v121(constB127, 2)) | v124(constB127, 2)),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18661,plain,
% 16.00/11.14 (~v121(constB127, 2)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18660, 18659, 15756])).
% 16.00/11.14 tff(18662,plain,
% 16.00/11.14 (((~v123(constB128, 2)) <=> v121(constB127, 2)) | (~v123(constB128, 2)) | v121(constB127, 2)),
% 16.00/11.14 inference(tautology,[status(thm)],[])).
% 16.00/11.14 tff(18663,plain,
% 16.00/11.14 (~v123(constB128, 2)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18662, 18661, 15742])).
% 16.00/11.14 tff(18664,plain,
% 16.00/11.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB127, constB128)) | (v94(constB128) <=> (~((~v95(constB128)) | (~v104(constB128))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB127, constB128)) | (v94(constB128) <=> (~((~v95(constB128)) | (~v104(constB128))))))),
% 16.00/11.14 inference(rewrite,[status(thm)],[])).
% 16.00/11.14 tff(18665,plain,
% 16.00/11.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB127, constB128)) | (v94(constB128) <=> (~((~v95(constB128)) | (~v104(constB128))))))),
% 16.00/11.14 inference(quant_inst,[status(thm)],[])).
% 16.00/11.14 tff(18666,plain,
% 16.00/11.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB127, constB128)) | (v94(constB128) <=> (~((~v95(constB128)) | (~v104(constB128)))))),
% 16.00/11.14 inference(modus_ponens,[status(thm)],[18665, 18664])).
% 16.00/11.14 tff(18667,plain,
% 16.00/11.14 (v94(constB128) <=> (~((~v95(constB128)) | (~v104(constB128))))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18666, 15736, 770])).
% 16.00/11.14 tff(18668,plain,
% 16.00/11.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128))))))),
% 16.00/11.14 inference(rewrite,[status(thm)],[])).
% 16.00/11.14 tff(18669,plain,
% 16.00/11.14 (((~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v96(constB128)) | (~v1(constB128)))))) <=> ((~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128))))))),
% 16.00/11.14 inference(rewrite,[status(thm)],[])).
% 16.00/11.14 tff(18670,plain,
% 16.00/11.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v96(constB128)) | (~v1(constB128))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128)))))))),
% 16.00/11.14 inference(monotonicity,[status(thm)],[18669])).
% 16.00/11.14 tff(18671,plain,
% 16.00/11.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v96(constB128)) | (~v1(constB128))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128))))))),
% 16.00/11.14 inference(transitivity,[status(thm)],[18670, 18668])).
% 16.00/11.14 tff(18672,plain,
% 16.00/11.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v96(constB128)) | (~v1(constB128))))))),
% 16.00/11.14 inference(quant_inst,[status(thm)],[])).
% 16.00/11.14 tff(18673,plain,
% 16.00/11.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128)))))),
% 16.00/11.14 inference(modus_ponens,[status(thm)],[18672, 18671])).
% 16.00/11.14 tff(18674,plain,
% 16.00/11.14 (v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128))))),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18673, 15736, 790])).
% 16.00/11.14 tff(18675,plain,
% 16.00/11.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB127, constB128)) | ((~v96(constB128)) <=> v98(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB127, constB128)) | ((~v96(constB128)) <=> v98(constB128)))),
% 16.00/11.14 inference(rewrite,[status(thm)],[])).
% 16.00/11.14 tff(18676,plain,
% 16.00/11.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB127, constB128)) | ((~v96(constB128)) <=> v98(constB128)))),
% 16.00/11.14 inference(quant_inst,[status(thm)],[])).
% 16.00/11.14 tff(18677,plain,
% 16.00/11.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB127, constB128)) | ((~v96(constB128)) <=> v98(constB128))),
% 16.00/11.14 inference(modus_ponens,[status(thm)],[18676, 18675])).
% 16.00/11.14 tff(18678,plain,
% 16.00/11.14 ((~v96(constB128)) <=> v98(constB128)),
% 16.00/11.14 inference(unit_resolution,[status(thm)],[18677, 15736, 2332])).
% 16.00/11.14 tff(18679,plain,
% 16.00/11.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB127, constB128)) | (v98(constB128) <=> v1(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB127, constB128)) | (v98(constB128) <=> v1(constB127)))),
% 16.00/11.15 inference(rewrite,[status(thm)],[])).
% 16.00/11.15 tff(18680,plain,
% 16.00/11.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB127, constB128)) | (v98(constB128) <=> v1(constB127)))),
% 16.00/11.15 inference(quant_inst,[status(thm)],[])).
% 16.00/11.15 tff(18681,plain,
% 16.00/11.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB127, constB128)) | (v98(constB128) <=> v1(constB127))),
% 16.00/11.15 inference(modus_ponens,[status(thm)],[18680, 18679])).
% 16.00/11.15 tff(18682,plain,
% 16.00/11.15 (v98(constB128) <=> v1(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18681, 15736, 2346])).
% 16.00/11.15 tff(18683,plain,
% 16.00/11.15 ((~(v98(constB128) <=> v1(constB127))) | (~v98(constB128)) | v1(constB127)),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18684,plain,
% 16.00/11.15 ((~(v98(constB128) <=> v1(constB127))) | (~v98(constB128))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18683, 15775])).
% 16.00/11.15 tff(18685,plain,
% 16.00/11.15 (~v98(constB128)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18684, 18682])).
% 16.00/11.15 tff(18686,plain,
% 16.00/11.15 ((~((~v96(constB128)) <=> v98(constB128))) | v96(constB128) | v98(constB128)),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18687,plain,
% 16.00/11.15 (v96(constB128)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18686, 18685, 18678])).
% 16.00/11.15 tff(18688,plain,
% 16.00/11.15 (v1(constB128) <=> v1(constB128)),
% 16.00/11.15 inference(rewrite,[status(thm)],[])).
% 16.00/11.15 tff(18689,axiom,(v1(constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_128')).
% 16.00/11.15 tff(18690,plain,
% 16.00/11.15 (v1(constB128)),
% 16.00/11.15 inference(modus_ponens,[status(thm)],[18689, 18688])).
% 16.00/11.15 tff(18691,plain,
% 16.00/11.15 ((~((~v1(constB128)) | (~v96(constB128)))) | (~v1(constB128)) | (~v96(constB128))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18692,plain,
% 16.00/11.15 ((~((~v1(constB128)) | (~v96(constB128)))) | (~v96(constB128))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18691, 18690])).
% 16.00/11.15 tff(18693,plain,
% 16.00/11.15 (~((~v1(constB128)) | (~v96(constB128)))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18692, 18687])).
% 16.00/11.15 tff(18694,plain,
% 16.00/11.15 ((~(v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128)))))) | v95(constB128) | ((~v1(constB128)) | (~v96(constB128)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18695,plain,
% 16.00/11.15 (v95(constB128)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18694, 18693, 18674])).
% 16.00/11.15 tff(18696,plain,
% 16.00/11.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB127, constB128)) | (v104(constB128) <=> v102(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB127, constB128)) | (v104(constB128) <=> v102(constB127)))),
% 16.00/11.15 inference(rewrite,[status(thm)],[])).
% 16.00/11.15 tff(18697,plain,
% 16.00/11.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB127, constB128)) | (v104(constB128) <=> v102(constB127)))),
% 16.00/11.15 inference(quant_inst,[status(thm)],[])).
% 16.00/11.15 tff(18698,plain,
% 16.00/11.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB127, constB128)) | (v104(constB128) <=> v102(constB127))),
% 16.00/11.15 inference(modus_ponens,[status(thm)],[18697, 18696])).
% 16.00/11.15 tff(18699,plain,
% 16.00/11.15 (v104(constB128) <=> v102(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18698, 15736, 2373])).
% 16.00/11.15 tff(18700,plain,
% 16.00/11.15 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB127) <=> (v105(constB127) | v106(constB127)))),
% 16.00/11.15 inference(quant_inst,[status(thm)],[])).
% 16.00/11.15 tff(18701,plain,
% 16.00/11.15 (v102(constB127) <=> (v105(constB127) | v106(constB127))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18700, 2384])).
% 16.00/11.15 tff(18702,plain,
% 16.00/11.15 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB127) <=> (~((~v107(constB127)) | (~v120(constB127)))))),
% 16.00/11.15 inference(quant_inst,[status(thm)],[])).
% 16.00/11.15 tff(18703,plain,
% 16.00/11.15 (v106(constB127) <=> (~((~v107(constB127)) | (~v120(constB127))))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18702, 2396])).
% 16.00/11.15 tff(18704,plain,
% 16.00/11.15 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB127) <=> (v108(constB127) | v119(constB127)))),
% 16.00/11.15 inference(quant_inst,[status(thm)],[])).
% 16.00/11.15 tff(18705,plain,
% 16.00/11.15 (v107(constB127) <=> (v108(constB127) | v119(constB127))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18704, 2405])).
% 16.00/11.15 tff(18706,plain,
% 16.00/11.15 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB127) <=> (v109(constB127) | v118(constB127)))),
% 16.00/11.15 inference(quant_inst,[status(thm)],[])).
% 16.00/11.15 tff(18707,plain,
% 16.00/11.15 (v108(constB127) <=> (v109(constB127) | v118(constB127))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18706, 2414])).
% 16.00/11.15 tff(18708,plain,
% 16.00/11.15 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB127) <=> (v110(constB127) | v117(constB127)))),
% 16.00/11.15 inference(quant_inst,[status(thm)],[])).
% 16.00/11.15 tff(18709,plain,
% 16.00/11.15 (v109(constB127) <=> (v110(constB127) | v117(constB127))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18708, 2423])).
% 16.00/11.15 tff(18710,plain,
% 16.00/11.15 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB127) <=> (v111(constB127) | v116(constB127)))),
% 16.00/11.15 inference(quant_inst,[status(thm)],[])).
% 16.00/11.15 tff(18711,plain,
% 16.00/11.15 (v110(constB127) <=> (v111(constB127) | v116(constB127))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18710, 2432])).
% 16.00/11.15 tff(18712,plain,
% 16.00/11.15 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB127) <=> (v112(constB127) | v115(constB127)))),
% 16.00/11.15 inference(quant_inst,[status(thm)],[])).
% 16.00/11.15 tff(18713,plain,
% 16.00/11.15 (v111(constB127) <=> (v112(constB127) | v115(constB127))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18712, 2441])).
% 16.00/11.15 tff(18714,plain,
% 16.00/11.15 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB127) <=> (v113(constB127) | v114(constB127)))),
% 16.00/11.15 inference(quant_inst,[status(thm)],[])).
% 16.00/11.15 tff(18715,plain,
% 16.00/11.15 (v112(constB127) <=> (v113(constB127) | v114(constB127))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18714, 2450])).
% 16.00/11.15 tff(18716,plain,
% 16.00/11.15 ((v113(constB127) | v114(constB127)) | (~v114(constB127))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18717,plain,
% 16.00/11.15 (v113(constB127) | v114(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18716, 18649])).
% 16.00/11.15 tff(18718,plain,
% 16.00/11.15 ((~(v112(constB127) <=> (v113(constB127) | v114(constB127)))) | v112(constB127) | (~(v113(constB127) | v114(constB127)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18719,plain,
% 16.00/11.15 (v112(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18718, 18717, 18715])).
% 16.00/11.15 tff(18720,plain,
% 16.00/11.15 ((v112(constB127) | v115(constB127)) | (~v112(constB127))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18721,plain,
% 16.00/11.15 (v112(constB127) | v115(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18720, 18719])).
% 16.00/11.15 tff(18722,plain,
% 16.00/11.15 ((~(v111(constB127) <=> (v112(constB127) | v115(constB127)))) | v111(constB127) | (~(v112(constB127) | v115(constB127)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18723,plain,
% 16.00/11.15 (v111(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18722, 18721, 18713])).
% 16.00/11.15 tff(18724,plain,
% 16.00/11.15 ((v111(constB127) | v116(constB127)) | (~v111(constB127))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18725,plain,
% 16.00/11.15 (v111(constB127) | v116(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18724, 18723])).
% 16.00/11.15 tff(18726,plain,
% 16.00/11.15 ((~(v110(constB127) <=> (v111(constB127) | v116(constB127)))) | v110(constB127) | (~(v111(constB127) | v116(constB127)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18727,plain,
% 16.00/11.15 (v110(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18726, 18725, 18711])).
% 16.00/11.15 tff(18728,plain,
% 16.00/11.15 ((v110(constB127) | v117(constB127)) | (~v110(constB127))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18729,plain,
% 16.00/11.15 (v110(constB127) | v117(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18728, 18727])).
% 16.00/11.15 tff(18730,plain,
% 16.00/11.15 ((~(v109(constB127) <=> (v110(constB127) | v117(constB127)))) | v109(constB127) | (~(v110(constB127) | v117(constB127)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18731,plain,
% 16.00/11.15 (v109(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18730, 18729, 18709])).
% 16.00/11.15 tff(18732,plain,
% 16.00/11.15 ((v109(constB127) | v118(constB127)) | (~v109(constB127))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18733,plain,
% 16.00/11.15 (v109(constB127) | v118(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18732, 18731])).
% 16.00/11.15 tff(18734,plain,
% 16.00/11.15 ((~(v108(constB127) <=> (v109(constB127) | v118(constB127)))) | v108(constB127) | (~(v109(constB127) | v118(constB127)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18735,plain,
% 16.00/11.15 (v108(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18734, 18733, 18707])).
% 16.00/11.15 tff(18736,plain,
% 16.00/11.15 ((v108(constB127) | v119(constB127)) | (~v108(constB127))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18737,plain,
% 16.00/11.15 (v108(constB127) | v119(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18736, 18735])).
% 16.00/11.15 tff(18738,plain,
% 16.00/11.15 ((~(v107(constB127) <=> (v108(constB127) | v119(constB127)))) | v107(constB127) | (~(v108(constB127) | v119(constB127)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18739,plain,
% 16.00/11.15 (v107(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18738, 18737, 18705])).
% 16.00/11.15 tff(18740,plain,
% 16.00/11.15 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB127)) <=> v105(constB127))),
% 16.00/11.15 inference(quant_inst,[status(thm)],[])).
% 16.00/11.15 tff(18741,plain,
% 16.00/11.15 ((~v120(constB127)) <=> v105(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18740, 2484])).
% 16.00/11.15 tff(18742,plain,
% 16.00/11.15 ((~((~v120(constB127)) <=> v105(constB127))) | v120(constB127) | v105(constB127)),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18743,plain,
% 16.00/11.15 ((~((~v120(constB127)) <=> v105(constB127))) | v120(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18742, 15749])).
% 16.00/11.15 tff(18744,plain,
% 16.00/11.15 (v120(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18743, 18741])).
% 16.00/11.15 tff(18745,plain,
% 16.00/11.15 ((~((~v107(constB127)) | (~v120(constB127)))) | (~v107(constB127)) | (~v120(constB127))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18746,plain,
% 16.00/11.15 ((~((~v107(constB127)) | (~v120(constB127)))) | (~v107(constB127))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18745, 18744])).
% 16.00/11.15 tff(18747,plain,
% 16.00/11.15 (~((~v107(constB127)) | (~v120(constB127)))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18746, 18739])).
% 16.00/11.15 tff(18748,plain,
% 16.00/11.15 ((~(v106(constB127) <=> (~((~v107(constB127)) | (~v120(constB127)))))) | v106(constB127) | ((~v107(constB127)) | (~v120(constB127)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18749,plain,
% 16.00/11.15 (v106(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18748, 18747, 18703])).
% 16.00/11.15 tff(18750,plain,
% 16.00/11.15 ((v105(constB127) | v106(constB127)) | (~v106(constB127))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18751,plain,
% 16.00/11.15 (v105(constB127) | v106(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18750, 18749])).
% 16.00/11.15 tff(18752,plain,
% 16.00/11.15 ((~(v102(constB127) <=> (v105(constB127) | v106(constB127)))) | v102(constB127) | (~(v105(constB127) | v106(constB127)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18753,plain,
% 16.00/11.15 (v102(constB127)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18752, 18751, 18701])).
% 16.00/11.15 tff(18754,plain,
% 16.00/11.15 ((~(v104(constB128) <=> v102(constB127))) | v104(constB128) | (~v102(constB127))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18755,plain,
% 16.00/11.15 (v104(constB128)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18754, 18753, 18699])).
% 16.00/11.15 tff(18756,plain,
% 16.00/11.15 ((~((~v95(constB128)) | (~v104(constB128)))) | (~v95(constB128)) | (~v104(constB128))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18757,plain,
% 16.00/11.15 (~((~v95(constB128)) | (~v104(constB128)))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18756, 18755, 18695])).
% 16.00/11.15 tff(18758,plain,
% 16.00/11.15 ((~(v94(constB128) <=> (~((~v95(constB128)) | (~v104(constB128)))))) | v94(constB128) | ((~v95(constB128)) | (~v104(constB128)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18759,plain,
% 16.00/11.15 (v94(constB128)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18758, 18757, 18667])).
% 16.00/11.15 tff(18760,plain,
% 16.00/11.15 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB128)) | (~(((~v84(constB128, 2)) <=> v123(constB128, 2)) | ((~v84(constB128, 1)) <=> v123(constB128, 1)) | ((~v84(constB128, 0)) <=> v123(constB128, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB128)) | (~(((~v84(constB128, 2)) <=> v123(constB128, 2)) | ((~v84(constB128, 1)) <=> v123(constB128, 1)) | ((~v84(constB128, 0)) <=> v123(constB128, 0)))))),
% 16.00/11.15 inference(rewrite,[status(thm)],[])).
% 16.00/11.15 tff(18761,plain,
% 16.00/11.15 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB128)) | (~(((~v84(constB128, 2)) <=> v123(constB128, 2)) | ((~v84(constB128, 1)) <=> v123(constB128, 1)) | ((~v84(constB128, 0)) <=> v123(constB128, 0)))))),
% 16.00/11.15 inference(quant_inst,[status(thm)],[])).
% 16.00/11.15 tff(18762,plain,
% 16.00/11.15 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB128)) | (~(((~v84(constB128, 2)) <=> v123(constB128, 2)) | ((~v84(constB128, 1)) <=> v123(constB128, 1)) | ((~v84(constB128, 0)) <=> v123(constB128, 0))))),
% 16.00/11.15 inference(modus_ponens,[status(thm)],[18761, 18760])).
% 16.00/11.15 tff(18763,plain,
% 16.00/11.15 ((~v94(constB128)) | (~(((~v84(constB128, 2)) <=> v123(constB128, 2)) | ((~v84(constB128, 1)) <=> v123(constB128, 1)) | ((~v84(constB128, 0)) <=> v123(constB128, 0))))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18762, 2517])).
% 16.00/11.15 tff(18764,plain,
% 16.00/11.15 (~(((~v84(constB128, 2)) <=> v123(constB128, 2)) | ((~v84(constB128, 1)) <=> v123(constB128, 1)) | ((~v84(constB128, 0)) <=> v123(constB128, 0)))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18763, 18759])).
% 16.00/11.15 tff(18765,plain,
% 16.00/11.15 ((((~v84(constB128, 2)) <=> v123(constB128, 2)) | ((~v84(constB128, 1)) <=> v123(constB128, 1)) | ((~v84(constB128, 0)) <=> v123(constB128, 0))) | (~((~v84(constB128, 2)) <=> v123(constB128, 2)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18766,plain,
% 16.00/11.15 (~((~v84(constB128, 2)) <=> v123(constB128, 2))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18765, 18764])).
% 16.00/11.15 tff(18767,plain,
% 16.00/11.15 (((~v84(constB128, 2)) <=> v123(constB128, 2)) | (~v84(constB128, 2)) | v123(constB128, 2)),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18768,plain,
% 16.00/11.15 (~v84(constB128, 2)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18767, 18766, 18663])).
% 16.00/11.15 tff(18769,plain,
% 16.00/11.15 (((~v84(constB129, 2)) <=> v84(constB128, 2)) | (~v84(constB129, 2)) | v84(constB128, 2)),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18770,plain,
% 16.00/11.15 (~v84(constB129, 2)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18769, 18768, 15733])).
% 16.00/11.15 tff(18771,plain,
% 16.00/11.15 ((((~v84(constB129, 1)) <=> v84(constB128, 1)) | ((~v84(constB129, 2)) <=> v84(constB128, 2)) | ((~v84(constB129, 0)) <=> v84(constB128, 0))) | (~((~v84(constB129, 0)) <=> v84(constB128, 0)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18772,plain,
% 16.00/11.15 (~((~v84(constB129, 0)) <=> v84(constB128, 0))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18771, 15731])).
% 16.00/11.15 tff(18773,plain,
% 16.00/11.15 ((((~v123(constB128, 2)) <=> v121(constB127, 2)) | ((~v123(constB128, 1)) <=> v121(constB127, 1)) | ((~v123(constB128, 0)) <=> v121(constB127, 0))) | (~((~v123(constB128, 0)) <=> v121(constB127, 0)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18774,plain,
% 16.00/11.15 (~((~v123(constB128, 0)) <=> v121(constB127, 0))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18773, 15740])).
% 16.00/11.15 tff(18775,plain,
% 16.00/11.15 ((((~v121(constB127, 2)) <=> v124(constB127, 2)) | ((~v121(constB127, 0)) <=> v124(constB127, 0)) | ((~v121(constB127, 1)) <=> v124(constB127, 1))) | (~((~v121(constB127, 0)) <=> v124(constB127, 0)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18776,plain,
% 16.00/11.15 (~((~v121(constB127, 0)) <=> v124(constB127, 0))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18775, 15754])).
% 16.00/11.15 tff(18777,plain,
% 16.00/11.15 ((v124(constB127, 2) | v124(constB127, 0) | (~v124(constB127, 1))) | (~v124(constB127, 0))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18778,plain,
% 16.00/11.15 (~v124(constB127, 0)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18777, 18657])).
% 16.00/11.15 tff(18779,plain,
% 16.00/11.15 (((~v121(constB127, 0)) <=> v124(constB127, 0)) | (~v121(constB127, 0)) | v124(constB127, 0)),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18780,plain,
% 16.00/11.15 (~v121(constB127, 0)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18779, 18778, 18776])).
% 16.00/11.15 tff(18781,plain,
% 16.00/11.15 (((~v123(constB128, 0)) <=> v121(constB127, 0)) | (~v123(constB128, 0)) | v121(constB127, 0)),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18782,plain,
% 16.00/11.15 (~v123(constB128, 0)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18781, 18780, 18774])).
% 16.00/11.15 tff(18783,plain,
% 16.00/11.15 ((((~v84(constB128, 2)) <=> v123(constB128, 2)) | ((~v84(constB128, 1)) <=> v123(constB128, 1)) | ((~v84(constB128, 0)) <=> v123(constB128, 0))) | (~((~v84(constB128, 0)) <=> v123(constB128, 0)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18784,plain,
% 16.00/11.15 (~((~v84(constB128, 0)) <=> v123(constB128, 0))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18783, 18764])).
% 16.00/11.15 tff(18785,plain,
% 16.00/11.15 (((~v84(constB128, 0)) <=> v123(constB128, 0)) | (~v84(constB128, 0)) | v123(constB128, 0)),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18786,plain,
% 16.00/11.15 (~v84(constB128, 0)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18785, 18784, 18782])).
% 16.00/11.15 tff(18787,plain,
% 16.00/11.15 (((~v84(constB129, 0)) <=> v84(constB128, 0)) | (~v84(constB129, 0)) | v84(constB128, 0)),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18788,plain,
% 16.00/11.15 (~v84(constB129, 0)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18787, 18786, 18772])).
% 16.00/11.15 tff(18789,plain,
% 16.00/11.15 ((((~v84(constB129, 1)) <=> v84(constB128, 1)) | ((~v84(constB129, 2)) <=> v84(constB128, 2)) | ((~v84(constB129, 0)) <=> v84(constB128, 0))) | (~((~v84(constB129, 1)) <=> v84(constB128, 1)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18790,plain,
% 16.00/11.15 (~((~v84(constB129, 1)) <=> v84(constB128, 1))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18789, 15731])).
% 16.00/11.15 tff(18791,plain,
% 16.00/11.15 ((((~v123(constB128, 2)) <=> v121(constB127, 2)) | ((~v123(constB128, 1)) <=> v121(constB127, 1)) | ((~v123(constB128, 0)) <=> v121(constB127, 0))) | (~((~v123(constB128, 1)) <=> v121(constB127, 1)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18792,plain,
% 16.00/11.15 (~((~v123(constB128, 1)) <=> v121(constB127, 1))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18791, 15740])).
% 16.00/11.15 tff(18793,plain,
% 16.00/11.15 ((((~v121(constB127, 2)) <=> v124(constB127, 2)) | ((~v121(constB127, 0)) <=> v124(constB127, 0)) | ((~v121(constB127, 1)) <=> v124(constB127, 1))) | (~((~v121(constB127, 1)) <=> v124(constB127, 1)))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18794,plain,
% 16.00/11.15 (~((~v121(constB127, 1)) <=> v124(constB127, 1))),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18793, 15754])).
% 16.00/11.15 tff(18795,plain,
% 16.00/11.15 ((v124(constB127, 2) | v124(constB127, 0) | (~v124(constB127, 1))) | v124(constB127, 1)),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18796,plain,
% 16.00/11.15 (v124(constB127, 1)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18795, 18657])).
% 16.00/11.15 tff(18797,plain,
% 16.00/11.15 (((~v121(constB127, 1)) <=> v124(constB127, 1)) | v121(constB127, 1) | (~v124(constB127, 1))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18798,plain,
% 16.00/11.15 (v121(constB127, 1)),
% 16.00/11.15 inference(unit_resolution,[status(thm)],[18797, 18796, 18794])).
% 16.00/11.15 tff(18799,plain,
% 16.00/11.15 (((~v123(constB128, 1)) <=> v121(constB127, 1)) | v123(constB128, 1) | (~v121(constB127, 1))),
% 16.00/11.15 inference(tautology,[status(thm)],[])).
% 16.00/11.15 tff(18800,plain,
% 16.00/11.15 (v123(constB128, 1)),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18799, 18798, 18792])).
% 16.00/11.16 tff(18801,plain,
% 16.00/11.16 ((((~v84(constB128, 2)) <=> v123(constB128, 2)) | ((~v84(constB128, 1)) <=> v123(constB128, 1)) | ((~v84(constB128, 0)) <=> v123(constB128, 0))) | (~((~v84(constB128, 1)) <=> v123(constB128, 1)))),
% 16.00/11.16 inference(tautology,[status(thm)],[])).
% 16.00/11.16 tff(18802,plain,
% 16.00/11.16 (~((~v84(constB128, 1)) <=> v123(constB128, 1))),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18801, 18764])).
% 16.00/11.16 tff(18803,plain,
% 16.00/11.16 (((~v84(constB128, 1)) <=> v123(constB128, 1)) | v84(constB128, 1) | (~v123(constB128, 1))),
% 16.00/11.16 inference(tautology,[status(thm)],[])).
% 16.00/11.16 tff(18804,plain,
% 16.00/11.16 (v84(constB128, 1)),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18803, 18802, 18800])).
% 16.00/11.16 tff(18805,plain,
% 16.00/11.16 (((~v84(constB129, 1)) <=> v84(constB128, 1)) | v84(constB129, 1) | (~v84(constB128, 1))),
% 16.00/11.16 inference(tautology,[status(thm)],[])).
% 16.00/11.16 tff(18806,plain,
% 16.00/11.16 (v84(constB129, 1)),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18805, 18804, 18790])).
% 16.00/11.16 tff(18807,plain,
% 16.00/11.16 ((~(v84(constB129, 2) | v84(constB129, 0) | (~v84(constB129, 1)))) | v84(constB129, 2) | v84(constB129, 0) | (~v84(constB129, 1))),
% 16.00/11.16 inference(tautology,[status(thm)],[])).
% 16.00/11.16 tff(18808,plain,
% 16.00/11.16 (~(v84(constB129, 2) | v84(constB129, 0) | (~v84(constB129, 1)))),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18807, 18806, 18788, 18770])).
% 16.00/11.16 tff(18809,plain,
% 16.00/11.16 ((~(v115(constB129) <=> (~(v84(constB129, 2) | v84(constB129, 0) | (~v84(constB129, 1)))))) | v115(constB129) | (v84(constB129, 2) | v84(constB129, 0) | (~v84(constB129, 1)))),
% 16.00/11.16 inference(tautology,[status(thm)],[])).
% 16.00/11.16 tff(18810,plain,
% 16.00/11.16 (v115(constB129)),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18809, 18808, 15697])).
% 16.00/11.16 tff(18811,plain,
% 16.00/11.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB129)) | (~(v124(constB129, 2) | (~v124(constB129, 0)) | (~v124(constB129, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB129)) | (~(v124(constB129, 2) | (~v124(constB129, 0)) | (~v124(constB129, 1)))))),
% 16.00/11.16 inference(rewrite,[status(thm)],[])).
% 16.00/11.16 tff(18812,plain,
% 16.00/11.16 (((~v115(constB129)) | (~(v124(constB129, 2) | (~v124(constB129, 1)) | (~v124(constB129, 0))))) <=> ((~v115(constB129)) | (~(v124(constB129, 2) | (~v124(constB129, 0)) | (~v124(constB129, 1)))))),
% 16.00/11.16 inference(rewrite,[status(thm)],[])).
% 16.00/11.16 tff(18813,plain,
% 16.00/11.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB129)) | (~(v124(constB129, 2) | (~v124(constB129, 1)) | (~v124(constB129, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB129)) | (~(v124(constB129, 2) | (~v124(constB129, 0)) | (~v124(constB129, 1))))))),
% 16.00/11.16 inference(monotonicity,[status(thm)],[18812])).
% 16.00/11.16 tff(18814,plain,
% 16.00/11.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB129)) | (~(v124(constB129, 2) | (~v124(constB129, 1)) | (~v124(constB129, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB129)) | (~(v124(constB129, 2) | (~v124(constB129, 0)) | (~v124(constB129, 1)))))),
% 16.00/11.16 inference(transitivity,[status(thm)],[18813, 18811])).
% 16.00/11.16 tff(18815,plain,
% 16.00/11.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB129)) | (~(v124(constB129, 2) | (~v124(constB129, 1)) | (~v124(constB129, 0)))))),
% 16.00/11.16 inference(quant_inst,[status(thm)],[])).
% 16.00/11.16 tff(18816,plain,
% 16.00/11.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB129)) | (~(v124(constB129, 2) | (~v124(constB129, 0)) | (~v124(constB129, 1))))),
% 16.00/11.16 inference(modus_ponens,[status(thm)],[18815, 18814])).
% 16.00/11.16 tff(18817,plain,
% 16.00/11.16 ((~v115(constB129)) | (~(v124(constB129, 2) | (~v124(constB129, 0)) | (~v124(constB129, 1))))),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18816, 3138])).
% 16.00/11.16 tff(18818,plain,
% 16.00/11.16 (~(v124(constB129, 2) | (~v124(constB129, 0)) | (~v124(constB129, 1)))),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18817, 18810])).
% 16.00/11.16 tff(18819,plain,
% 16.00/11.16 ((v124(constB129, 2) | (~v124(constB129, 0)) | (~v124(constB129, 1))) | (~v124(constB129, 2))),
% 16.00/11.16 inference(tautology,[status(thm)],[])).
% 16.00/11.16 tff(18820,plain,
% 16.00/11.16 (~v124(constB129, 2)),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18819, 18818])).
% 16.00/11.16 tff(18821,plain,
% 16.00/11.16 (((~v121(constB129, 2)) <=> v124(constB129, 2)) | (~v121(constB129, 2)) | v124(constB129, 2)),
% 16.00/11.16 inference(tautology,[status(thm)],[])).
% 16.00/11.16 tff(18822,plain,
% 16.00/11.16 (~v121(constB129, 2)),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18821, 18820, 15690])).
% 16.00/11.16 tff(18823,plain,
% 16.00/11.16 (((~v123(constB130, 2)) <=> v121(constB129, 2)) | (~v123(constB130, 2)) | v121(constB129, 2)),
% 16.00/11.16 inference(tautology,[status(thm)],[])).
% 16.00/11.16 tff(18824,plain,
% 16.00/11.16 (~v123(constB130, 2)),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18823, 18822, 15676])).
% 16.00/11.16 tff(18825,plain,
% 16.00/11.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB129, constB130)) | (v94(constB130) <=> (~((~v95(constB130)) | (~v104(constB130))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB129, constB130)) | (v94(constB130) <=> (~((~v95(constB130)) | (~v104(constB130))))))),
% 16.00/11.16 inference(rewrite,[status(thm)],[])).
% 16.00/11.16 tff(18826,plain,
% 16.00/11.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB129, constB130)) | (v94(constB130) <=> (~((~v95(constB130)) | (~v104(constB130))))))),
% 16.00/11.16 inference(quant_inst,[status(thm)],[])).
% 16.00/11.16 tff(18827,plain,
% 16.00/11.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB129, constB130)) | (v94(constB130) <=> (~((~v95(constB130)) | (~v104(constB130)))))),
% 16.00/11.16 inference(modus_ponens,[status(thm)],[18826, 18825])).
% 16.00/11.16 tff(18828,plain,
% 16.00/11.16 (v94(constB130) <=> (~((~v95(constB130)) | (~v104(constB130))))),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18827, 15670, 770])).
% 16.00/11.16 tff(18829,plain,
% 16.00/11.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130))))))),
% 16.00/11.16 inference(rewrite,[status(thm)],[])).
% 16.00/11.16 tff(18830,plain,
% 16.00/11.16 (((~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v96(constB130)) | (~v1(constB130)))))) <=> ((~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130))))))),
% 16.00/11.16 inference(rewrite,[status(thm)],[])).
% 16.00/11.16 tff(18831,plain,
% 16.00/11.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v96(constB130)) | (~v1(constB130))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130)))))))),
% 16.00/11.16 inference(monotonicity,[status(thm)],[18830])).
% 16.00/11.16 tff(18832,plain,
% 16.00/11.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v96(constB130)) | (~v1(constB130))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130))))))),
% 16.00/11.16 inference(transitivity,[status(thm)],[18831, 18829])).
% 16.00/11.16 tff(18833,plain,
% 16.00/11.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v96(constB130)) | (~v1(constB130))))))),
% 16.00/11.16 inference(quant_inst,[status(thm)],[])).
% 16.00/11.16 tff(18834,plain,
% 16.00/11.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130)))))),
% 16.00/11.16 inference(modus_ponens,[status(thm)],[18833, 18832])).
% 16.00/11.16 tff(18835,plain,
% 16.00/11.16 (v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130))))),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18834, 15670, 790])).
% 16.00/11.16 tff(18836,plain,
% 16.00/11.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB129, constB130)) | ((~v96(constB130)) <=> v98(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB129, constB130)) | ((~v96(constB130)) <=> v98(constB130)))),
% 16.00/11.16 inference(rewrite,[status(thm)],[])).
% 16.00/11.16 tff(18837,plain,
% 16.00/11.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB129, constB130)) | ((~v96(constB130)) <=> v98(constB130)))),
% 16.00/11.16 inference(quant_inst,[status(thm)],[])).
% 16.00/11.16 tff(18838,plain,
% 16.00/11.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB129, constB130)) | ((~v96(constB130)) <=> v98(constB130))),
% 16.00/11.16 inference(modus_ponens,[status(thm)],[18837, 18836])).
% 16.00/11.16 tff(18839,plain,
% 16.00/11.16 ((~v96(constB130)) <=> v98(constB130)),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18838, 15670, 2332])).
% 16.00/11.16 tff(18840,plain,
% 16.00/11.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB129, constB130)) | (v98(constB130) <=> v1(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB129, constB130)) | (v98(constB130) <=> v1(constB129)))),
% 16.00/11.16 inference(rewrite,[status(thm)],[])).
% 16.00/11.16 tff(18841,plain,
% 16.00/11.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB129, constB130)) | (v98(constB130) <=> v1(constB129)))),
% 16.00/11.16 inference(quant_inst,[status(thm)],[])).
% 16.00/11.16 tff(18842,plain,
% 16.00/11.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB129, constB130)) | (v98(constB130) <=> v1(constB129))),
% 16.00/11.16 inference(modus_ponens,[status(thm)],[18841, 18840])).
% 16.00/11.16 tff(18843,plain,
% 16.00/11.16 (v98(constB130) <=> v1(constB129)),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18842, 15670, 2346])).
% 16.00/11.16 tff(18844,plain,
% 16.00/11.16 ((~(v98(constB130) <=> v1(constB129))) | (~v98(constB130)) | v1(constB129)),
% 16.00/11.16 inference(tautology,[status(thm)],[])).
% 16.00/11.16 tff(18845,plain,
% 16.00/11.16 ((~(v98(constB130) <=> v1(constB129))) | (~v98(constB130))),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18844, 15714])).
% 16.00/11.16 tff(18846,plain,
% 16.00/11.16 (~v98(constB130)),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18845, 18843])).
% 16.00/11.16 tff(18847,plain,
% 16.00/11.16 ((~((~v96(constB130)) <=> v98(constB130))) | v96(constB130) | v98(constB130)),
% 16.00/11.16 inference(tautology,[status(thm)],[])).
% 16.00/11.16 tff(18848,plain,
% 16.00/11.16 (v96(constB130)),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18847, 18846, 18839])).
% 16.00/11.16 tff(18849,plain,
% 16.00/11.16 (v1(constB130) <=> v1(constB130)),
% 16.00/11.16 inference(rewrite,[status(thm)],[])).
% 16.00/11.16 tff(18850,axiom,(v1(constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_130')).
% 16.00/11.16 tff(18851,plain,
% 16.00/11.16 (v1(constB130)),
% 16.00/11.16 inference(modus_ponens,[status(thm)],[18850, 18849])).
% 16.00/11.16 tff(18852,plain,
% 16.00/11.16 ((~((~v1(constB130)) | (~v96(constB130)))) | (~v1(constB130)) | (~v96(constB130))),
% 16.00/11.16 inference(tautology,[status(thm)],[])).
% 16.00/11.16 tff(18853,plain,
% 16.00/11.16 ((~((~v1(constB130)) | (~v96(constB130)))) | (~v96(constB130))),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18852, 18851])).
% 16.00/11.16 tff(18854,plain,
% 16.00/11.16 (~((~v1(constB130)) | (~v96(constB130)))),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18853, 18848])).
% 16.00/11.16 tff(18855,plain,
% 16.00/11.16 ((~(v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130)))))) | v95(constB130) | ((~v1(constB130)) | (~v96(constB130)))),
% 16.00/11.16 inference(tautology,[status(thm)],[])).
% 16.00/11.16 tff(18856,plain,
% 16.00/11.16 (v95(constB130)),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18855, 18854, 18835])).
% 16.00/11.16 tff(18857,plain,
% 16.00/11.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB129, constB130)) | (v104(constB130) <=> v102(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB129, constB130)) | (v104(constB130) <=> v102(constB129)))),
% 16.00/11.16 inference(rewrite,[status(thm)],[])).
% 16.00/11.16 tff(18858,plain,
% 16.00/11.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB129, constB130)) | (v104(constB130) <=> v102(constB129)))),
% 16.00/11.16 inference(quant_inst,[status(thm)],[])).
% 16.00/11.16 tff(18859,plain,
% 16.00/11.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB129, constB130)) | (v104(constB130) <=> v102(constB129))),
% 16.00/11.16 inference(modus_ponens,[status(thm)],[18858, 18857])).
% 16.00/11.16 tff(18860,plain,
% 16.00/11.16 (v104(constB130) <=> v102(constB129)),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18859, 15670, 2373])).
% 16.00/11.16 tff(18861,plain,
% 16.00/11.16 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB129) <=> (v105(constB129) | v106(constB129)))),
% 16.00/11.16 inference(quant_inst,[status(thm)],[])).
% 16.00/11.16 tff(18862,plain,
% 16.00/11.16 (v102(constB129) <=> (v105(constB129) | v106(constB129))),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18861, 2384])).
% 16.00/11.16 tff(18863,plain,
% 16.00/11.16 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB129) <=> (~((~v107(constB129)) | (~v120(constB129)))))),
% 16.00/11.16 inference(quant_inst,[status(thm)],[])).
% 16.00/11.16 tff(18864,plain,
% 16.00/11.16 (v106(constB129) <=> (~((~v107(constB129)) | (~v120(constB129))))),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18863, 2396])).
% 16.00/11.16 tff(18865,plain,
% 16.00/11.16 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB129) <=> (v108(constB129) | v119(constB129)))),
% 16.00/11.16 inference(quant_inst,[status(thm)],[])).
% 16.00/11.16 tff(18866,plain,
% 16.00/11.16 (v107(constB129) <=> (v108(constB129) | v119(constB129))),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18865, 2405])).
% 16.00/11.16 tff(18867,plain,
% 16.00/11.16 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB129) <=> (v109(constB129) | v118(constB129)))),
% 16.00/11.16 inference(quant_inst,[status(thm)],[])).
% 16.00/11.16 tff(18868,plain,
% 16.00/11.16 (v108(constB129) <=> (v109(constB129) | v118(constB129))),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18867, 2414])).
% 16.00/11.16 tff(18869,plain,
% 16.00/11.16 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB129) <=> (v110(constB129) | v117(constB129)))),
% 16.00/11.16 inference(quant_inst,[status(thm)],[])).
% 16.00/11.16 tff(18870,plain,
% 16.00/11.16 (v109(constB129) <=> (v110(constB129) | v117(constB129))),
% 16.00/11.16 inference(unit_resolution,[status(thm)],[18869, 2423])).
% 16.00/11.16 tff(18871,plain,
% 16.00/11.16 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB129) <=> (v111(constB129) | v116(constB129)))),
% 16.00/11.16 inference(quant_inst,[status(thm)],[])).
% 16.00/11.17 tff(18872,plain,
% 16.00/11.17 (v110(constB129) <=> (v111(constB129) | v116(constB129))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18871, 2432])).
% 16.00/11.17 tff(18873,plain,
% 16.00/11.17 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB129) <=> (v112(constB129) | v115(constB129)))),
% 16.00/11.17 inference(quant_inst,[status(thm)],[])).
% 16.00/11.17 tff(18874,plain,
% 16.00/11.17 (v111(constB129) <=> (v112(constB129) | v115(constB129))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18873, 2441])).
% 16.00/11.17 tff(18875,plain,
% 16.00/11.17 ((v112(constB129) | v115(constB129)) | (~v115(constB129))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18876,plain,
% 16.00/11.17 (v112(constB129) | v115(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18875, 18810])).
% 16.00/11.17 tff(18877,plain,
% 16.00/11.17 ((~(v111(constB129) <=> (v112(constB129) | v115(constB129)))) | v111(constB129) | (~(v112(constB129) | v115(constB129)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18878,plain,
% 16.00/11.17 (v111(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18877, 18876, 18874])).
% 16.00/11.17 tff(18879,plain,
% 16.00/11.17 ((v111(constB129) | v116(constB129)) | (~v111(constB129))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18880,plain,
% 16.00/11.17 (v111(constB129) | v116(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18879, 18878])).
% 16.00/11.17 tff(18881,plain,
% 16.00/11.17 ((~(v110(constB129) <=> (v111(constB129) | v116(constB129)))) | v110(constB129) | (~(v111(constB129) | v116(constB129)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18882,plain,
% 16.00/11.17 (v110(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18881, 18880, 18872])).
% 16.00/11.17 tff(18883,plain,
% 16.00/11.17 ((v110(constB129) | v117(constB129)) | (~v110(constB129))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18884,plain,
% 16.00/11.17 (v110(constB129) | v117(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18883, 18882])).
% 16.00/11.17 tff(18885,plain,
% 16.00/11.17 ((~(v109(constB129) <=> (v110(constB129) | v117(constB129)))) | v109(constB129) | (~(v110(constB129) | v117(constB129)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18886,plain,
% 16.00/11.17 (v109(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18885, 18884, 18870])).
% 16.00/11.17 tff(18887,plain,
% 16.00/11.17 ((v109(constB129) | v118(constB129)) | (~v109(constB129))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18888,plain,
% 16.00/11.17 (v109(constB129) | v118(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18887, 18886])).
% 16.00/11.17 tff(18889,plain,
% 16.00/11.17 ((~(v108(constB129) <=> (v109(constB129) | v118(constB129)))) | v108(constB129) | (~(v109(constB129) | v118(constB129)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18890,plain,
% 16.00/11.17 (v108(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18889, 18888, 18868])).
% 16.00/11.17 tff(18891,plain,
% 16.00/11.17 ((v108(constB129) | v119(constB129)) | (~v108(constB129))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18892,plain,
% 16.00/11.17 (v108(constB129) | v119(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18891, 18890])).
% 16.00/11.17 tff(18893,plain,
% 16.00/11.17 ((~(v107(constB129) <=> (v108(constB129) | v119(constB129)))) | v107(constB129) | (~(v108(constB129) | v119(constB129)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18894,plain,
% 16.00/11.17 (v107(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18893, 18892, 18866])).
% 16.00/11.17 tff(18895,plain,
% 16.00/11.17 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB129)) <=> v105(constB129))),
% 16.00/11.17 inference(quant_inst,[status(thm)],[])).
% 16.00/11.17 tff(18896,plain,
% 16.00/11.17 ((~v120(constB129)) <=> v105(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18895, 2484])).
% 16.00/11.17 tff(18897,plain,
% 16.00/11.17 ((~((~v120(constB129)) <=> v105(constB129))) | v120(constB129) | v105(constB129)),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18898,plain,
% 16.00/11.17 ((~((~v120(constB129)) <=> v105(constB129))) | v120(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18897, 15683])).
% 16.00/11.17 tff(18899,plain,
% 16.00/11.17 (v120(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18898, 18896])).
% 16.00/11.17 tff(18900,plain,
% 16.00/11.17 ((~((~v107(constB129)) | (~v120(constB129)))) | (~v107(constB129)) | (~v120(constB129))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18901,plain,
% 16.00/11.17 ((~((~v107(constB129)) | (~v120(constB129)))) | (~v107(constB129))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18900, 18899])).
% 16.00/11.17 tff(18902,plain,
% 16.00/11.17 (~((~v107(constB129)) | (~v120(constB129)))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18901, 18894])).
% 16.00/11.17 tff(18903,plain,
% 16.00/11.17 ((~(v106(constB129) <=> (~((~v107(constB129)) | (~v120(constB129)))))) | v106(constB129) | ((~v107(constB129)) | (~v120(constB129)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18904,plain,
% 16.00/11.17 (v106(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18903, 18902, 18864])).
% 16.00/11.17 tff(18905,plain,
% 16.00/11.17 ((v105(constB129) | v106(constB129)) | (~v106(constB129))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18906,plain,
% 16.00/11.17 (v105(constB129) | v106(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18905, 18904])).
% 16.00/11.17 tff(18907,plain,
% 16.00/11.17 ((~(v102(constB129) <=> (v105(constB129) | v106(constB129)))) | v102(constB129) | (~(v105(constB129) | v106(constB129)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18908,plain,
% 16.00/11.17 (v102(constB129)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18907, 18906, 18862])).
% 16.00/11.17 tff(18909,plain,
% 16.00/11.17 ((~(v104(constB130) <=> v102(constB129))) | v104(constB130) | (~v102(constB129))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18910,plain,
% 16.00/11.17 (v104(constB130)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18909, 18908, 18860])).
% 16.00/11.17 tff(18911,plain,
% 16.00/11.17 ((~((~v95(constB130)) | (~v104(constB130)))) | (~v95(constB130)) | (~v104(constB130))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18912,plain,
% 16.00/11.17 (~((~v95(constB130)) | (~v104(constB130)))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18911, 18910, 18856])).
% 16.00/11.17 tff(18913,plain,
% 16.00/11.17 ((~(v94(constB130) <=> (~((~v95(constB130)) | (~v104(constB130)))))) | v94(constB130) | ((~v95(constB130)) | (~v104(constB130)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18914,plain,
% 16.00/11.17 (v94(constB130)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18913, 18912, 18828])).
% 16.00/11.17 tff(18915,plain,
% 16.00/11.17 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB130)) | (~(((~v84(constB130, 0)) <=> v123(constB130, 0)) | ((~v84(constB130, 2)) <=> v123(constB130, 2)) | ((~v84(constB130, 1)) <=> v123(constB130, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB130)) | (~(((~v84(constB130, 0)) <=> v123(constB130, 0)) | ((~v84(constB130, 2)) <=> v123(constB130, 2)) | ((~v84(constB130, 1)) <=> v123(constB130, 1)))))),
% 16.00/11.17 inference(rewrite,[status(thm)],[])).
% 16.00/11.17 tff(18916,plain,
% 16.00/11.17 (((~v94(constB130)) | (~(((~v84(constB130, 2)) <=> v123(constB130, 2)) | ((~v84(constB130, 1)) <=> v123(constB130, 1)) | ((~v84(constB130, 0)) <=> v123(constB130, 0))))) <=> ((~v94(constB130)) | (~(((~v84(constB130, 0)) <=> v123(constB130, 0)) | ((~v84(constB130, 2)) <=> v123(constB130, 2)) | ((~v84(constB130, 1)) <=> v123(constB130, 1)))))),
% 16.00/11.17 inference(rewrite,[status(thm)],[])).
% 16.00/11.17 tff(18917,plain,
% 16.00/11.17 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB130)) | (~(((~v84(constB130, 2)) <=> v123(constB130, 2)) | ((~v84(constB130, 1)) <=> v123(constB130, 1)) | ((~v84(constB130, 0)) <=> v123(constB130, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB130)) | (~(((~v84(constB130, 0)) <=> v123(constB130, 0)) | ((~v84(constB130, 2)) <=> v123(constB130, 2)) | ((~v84(constB130, 1)) <=> v123(constB130, 1))))))),
% 16.00/11.17 inference(monotonicity,[status(thm)],[18916])).
% 16.00/11.17 tff(18918,plain,
% 16.00/11.17 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB130)) | (~(((~v84(constB130, 2)) <=> v123(constB130, 2)) | ((~v84(constB130, 1)) <=> v123(constB130, 1)) | ((~v84(constB130, 0)) <=> v123(constB130, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB130)) | (~(((~v84(constB130, 0)) <=> v123(constB130, 0)) | ((~v84(constB130, 2)) <=> v123(constB130, 2)) | ((~v84(constB130, 1)) <=> v123(constB130, 1)))))),
% 16.00/11.17 inference(transitivity,[status(thm)],[18917, 18915])).
% 16.00/11.17 tff(18919,plain,
% 16.00/11.17 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB130)) | (~(((~v84(constB130, 2)) <=> v123(constB130, 2)) | ((~v84(constB130, 1)) <=> v123(constB130, 1)) | ((~v84(constB130, 0)) <=> v123(constB130, 0)))))),
% 16.00/11.17 inference(quant_inst,[status(thm)],[])).
% 16.00/11.17 tff(18920,plain,
% 16.00/11.17 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB130)) | (~(((~v84(constB130, 0)) <=> v123(constB130, 0)) | ((~v84(constB130, 2)) <=> v123(constB130, 2)) | ((~v84(constB130, 1)) <=> v123(constB130, 1))))),
% 16.00/11.17 inference(modus_ponens,[status(thm)],[18919, 18918])).
% 16.00/11.17 tff(18921,plain,
% 16.00/11.17 ((~v94(constB130)) | (~(((~v84(constB130, 0)) <=> v123(constB130, 0)) | ((~v84(constB130, 2)) <=> v123(constB130, 2)) | ((~v84(constB130, 1)) <=> v123(constB130, 1))))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18920, 2517])).
% 16.00/11.17 tff(18922,plain,
% 16.00/11.17 (~(((~v84(constB130, 0)) <=> v123(constB130, 0)) | ((~v84(constB130, 2)) <=> v123(constB130, 2)) | ((~v84(constB130, 1)) <=> v123(constB130, 1)))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18921, 18914])).
% 16.00/11.17 tff(18923,plain,
% 16.00/11.17 ((((~v84(constB130, 0)) <=> v123(constB130, 0)) | ((~v84(constB130, 2)) <=> v123(constB130, 2)) | ((~v84(constB130, 1)) <=> v123(constB130, 1))) | (~((~v84(constB130, 2)) <=> v123(constB130, 2)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18924,plain,
% 16.00/11.17 (~((~v84(constB130, 2)) <=> v123(constB130, 2))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18923, 18922])).
% 16.00/11.17 tff(18925,plain,
% 16.00/11.17 (((~v84(constB130, 2)) <=> v123(constB130, 2)) | (~v84(constB130, 2)) | v123(constB130, 2)),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18926,plain,
% 16.00/11.17 (~v84(constB130, 2)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18925, 18924, 18824])).
% 16.00/11.17 tff(18927,plain,
% 16.00/11.17 (((~v84(constB131, 2)) <=> v84(constB130, 2)) | (~v84(constB131, 2)) | v84(constB130, 2)),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18928,plain,
% 16.00/11.17 (~v84(constB131, 2)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18927, 18926, 15667])).
% 16.00/11.17 tff(18929,plain,
% 16.00/11.17 ((((~v84(constB131, 1)) <=> v84(constB130, 1)) | ((~v84(constB131, 2)) <=> v84(constB130, 2)) | ((~v84(constB131, 0)) <=> v84(constB130, 0))) | (~((~v84(constB131, 0)) <=> v84(constB130, 0)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18930,plain,
% 16.00/11.17 (~((~v84(constB131, 0)) <=> v84(constB130, 0))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18929, 15665])).
% 16.00/11.17 tff(18931,plain,
% 16.00/11.17 ((((~v123(constB130, 2)) <=> v121(constB129, 2)) | ((~v123(constB130, 1)) <=> v121(constB129, 1)) | ((~v123(constB130, 0)) <=> v121(constB129, 0))) | (~((~v123(constB130, 0)) <=> v121(constB129, 0)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18932,plain,
% 16.00/11.17 (~((~v123(constB130, 0)) <=> v121(constB129, 0))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18931, 15674])).
% 16.00/11.17 tff(18933,plain,
% 16.00/11.17 ((((~v121(constB129, 2)) <=> v124(constB129, 2)) | ((~v121(constB129, 0)) <=> v124(constB129, 0)) | ((~v121(constB129, 1)) <=> v124(constB129, 1))) | (~((~v121(constB129, 0)) <=> v124(constB129, 0)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18934,plain,
% 16.00/11.17 (~((~v121(constB129, 0)) <=> v124(constB129, 0))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18933, 15688])).
% 16.00/11.17 tff(18935,plain,
% 16.00/11.17 ((v124(constB129, 2) | (~v124(constB129, 0)) | (~v124(constB129, 1))) | v124(constB129, 0)),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18936,plain,
% 16.00/11.17 (v124(constB129, 0)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18935, 18818])).
% 16.00/11.17 tff(18937,plain,
% 16.00/11.17 (((~v121(constB129, 0)) <=> v124(constB129, 0)) | v121(constB129, 0) | (~v124(constB129, 0))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18938,plain,
% 16.00/11.17 (v121(constB129, 0)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18937, 18936, 18934])).
% 16.00/11.17 tff(18939,plain,
% 16.00/11.17 (((~v123(constB130, 0)) <=> v121(constB129, 0)) | v123(constB130, 0) | (~v121(constB129, 0))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18940,plain,
% 16.00/11.17 (v123(constB130, 0)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18939, 18938, 18932])).
% 16.00/11.17 tff(18941,plain,
% 16.00/11.17 ((((~v84(constB130, 0)) <=> v123(constB130, 0)) | ((~v84(constB130, 2)) <=> v123(constB130, 2)) | ((~v84(constB130, 1)) <=> v123(constB130, 1))) | (~((~v84(constB130, 0)) <=> v123(constB130, 0)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18942,plain,
% 16.00/11.17 (~((~v84(constB130, 0)) <=> v123(constB130, 0))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18941, 18922])).
% 16.00/11.17 tff(18943,plain,
% 16.00/11.17 (((~v84(constB130, 0)) <=> v123(constB130, 0)) | v84(constB130, 0) | (~v123(constB130, 0))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18944,plain,
% 16.00/11.17 (v84(constB130, 0)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18943, 18942, 18940])).
% 16.00/11.17 tff(18945,plain,
% 16.00/11.17 (((~v84(constB131, 0)) <=> v84(constB130, 0)) | v84(constB131, 0) | (~v84(constB130, 0))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18946,plain,
% 16.00/11.17 (v84(constB131, 0)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18945, 18944, 18930])).
% 16.00/11.17 tff(18947,plain,
% 16.00/11.17 ((((~v84(constB131, 1)) <=> v84(constB130, 1)) | ((~v84(constB131, 2)) <=> v84(constB130, 2)) | ((~v84(constB131, 0)) <=> v84(constB130, 0))) | (~((~v84(constB131, 1)) <=> v84(constB130, 1)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18948,plain,
% 16.00/11.17 (~((~v84(constB131, 1)) <=> v84(constB130, 1))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18947, 15665])).
% 16.00/11.17 tff(18949,plain,
% 16.00/11.17 ((((~v123(constB130, 2)) <=> v121(constB129, 2)) | ((~v123(constB130, 1)) <=> v121(constB129, 1)) | ((~v123(constB130, 0)) <=> v121(constB129, 0))) | (~((~v123(constB130, 1)) <=> v121(constB129, 1)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18950,plain,
% 16.00/11.17 (~((~v123(constB130, 1)) <=> v121(constB129, 1))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18949, 15674])).
% 16.00/11.17 tff(18951,plain,
% 16.00/11.17 ((((~v121(constB129, 2)) <=> v124(constB129, 2)) | ((~v121(constB129, 0)) <=> v124(constB129, 0)) | ((~v121(constB129, 1)) <=> v124(constB129, 1))) | (~((~v121(constB129, 1)) <=> v124(constB129, 1)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18952,plain,
% 16.00/11.17 (~((~v121(constB129, 1)) <=> v124(constB129, 1))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18951, 15688])).
% 16.00/11.17 tff(18953,plain,
% 16.00/11.17 ((v124(constB129, 2) | (~v124(constB129, 0)) | (~v124(constB129, 1))) | v124(constB129, 1)),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18954,plain,
% 16.00/11.17 (v124(constB129, 1)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18953, 18818])).
% 16.00/11.17 tff(18955,plain,
% 16.00/11.17 (((~v121(constB129, 1)) <=> v124(constB129, 1)) | v121(constB129, 1) | (~v124(constB129, 1))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18956,plain,
% 16.00/11.17 (v121(constB129, 1)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18955, 18954, 18952])).
% 16.00/11.17 tff(18957,plain,
% 16.00/11.17 (((~v123(constB130, 1)) <=> v121(constB129, 1)) | v123(constB130, 1) | (~v121(constB129, 1))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18958,plain,
% 16.00/11.17 (v123(constB130, 1)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18957, 18956, 18950])).
% 16.00/11.17 tff(18959,plain,
% 16.00/11.17 ((((~v84(constB130, 0)) <=> v123(constB130, 0)) | ((~v84(constB130, 2)) <=> v123(constB130, 2)) | ((~v84(constB130, 1)) <=> v123(constB130, 1))) | (~((~v84(constB130, 1)) <=> v123(constB130, 1)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18960,plain,
% 16.00/11.17 (~((~v84(constB130, 1)) <=> v123(constB130, 1))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18959, 18922])).
% 16.00/11.17 tff(18961,plain,
% 16.00/11.17 (((~v84(constB130, 1)) <=> v123(constB130, 1)) | v84(constB130, 1) | (~v123(constB130, 1))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18962,plain,
% 16.00/11.17 (v84(constB130, 1)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18961, 18960, 18958])).
% 16.00/11.17 tff(18963,plain,
% 16.00/11.17 (((~v84(constB131, 1)) <=> v84(constB130, 1)) | v84(constB131, 1) | (~v84(constB130, 1))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18964,plain,
% 16.00/11.17 (v84(constB131, 1)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18963, 18962, 18948])).
% 16.00/11.17 tff(18965,plain,
% 16.00/11.17 ((~(v84(constB131, 2) | (~v84(constB131, 1)) | (~v84(constB131, 0)))) | v84(constB131, 2) | (~v84(constB131, 1)) | (~v84(constB131, 0))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18966,plain,
% 16.00/11.17 (~(v84(constB131, 2) | (~v84(constB131, 1)) | (~v84(constB131, 0)))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18965, 18964, 18946, 18928])).
% 16.00/11.17 tff(18967,plain,
% 16.00/11.17 ((~(v116(constB131) <=> (~(v84(constB131, 2) | (~v84(constB131, 1)) | (~v84(constB131, 0)))))) | v116(constB131) | (v84(constB131, 2) | (~v84(constB131, 1)) | (~v84(constB131, 0)))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18968,plain,
% 16.00/11.17 (v116(constB131)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18967, 18966, 15631])).
% 16.00/11.17 tff(18969,plain,
% 16.00/11.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB131)) | (~(v124(constB131, 0) | v124(constB131, 1) | (~v124(constB131, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB131)) | (~(v124(constB131, 0) | v124(constB131, 1) | (~v124(constB131, 2)))))),
% 16.00/11.17 inference(rewrite,[status(thm)],[])).
% 16.00/11.17 tff(18970,plain,
% 16.00/11.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB131)) | (~(v124(constB131, 0) | v124(constB131, 1) | (~v124(constB131, 2)))))),
% 16.00/11.17 inference(quant_inst,[status(thm)],[])).
% 16.00/11.17 tff(18971,plain,
% 16.00/11.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB131)) | (~(v124(constB131, 0) | v124(constB131, 1) | (~v124(constB131, 2))))),
% 16.00/11.17 inference(modus_ponens,[status(thm)],[18970, 18969])).
% 16.00/11.17 tff(18972,plain,
% 16.00/11.17 ((~v116(constB131)) | (~(v124(constB131, 0) | v124(constB131, 1) | (~v124(constB131, 2))))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18971, 3309])).
% 16.00/11.17 tff(18973,plain,
% 16.00/11.17 (~(v124(constB131, 0) | v124(constB131, 1) | (~v124(constB131, 2)))),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18972, 18968])).
% 16.00/11.17 tff(18974,plain,
% 16.00/11.17 ((v124(constB131, 0) | v124(constB131, 1) | (~v124(constB131, 2))) | v124(constB131, 2)),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18975,plain,
% 16.00/11.17 (v124(constB131, 2)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18974, 18973])).
% 16.00/11.17 tff(18976,plain,
% 16.00/11.17 (((~v121(constB131, 2)) <=> v124(constB131, 2)) | v121(constB131, 2) | (~v124(constB131, 2))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18977,plain,
% 16.00/11.17 (v121(constB131, 2)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18976, 18975, 15629])).
% 16.00/11.17 tff(18978,plain,
% 16.00/11.17 (((~v123(constB132, 2)) <=> v121(constB131, 2)) | v123(constB132, 2) | (~v121(constB131, 2))),
% 16.00/11.17 inference(tautology,[status(thm)],[])).
% 16.00/11.17 tff(18979,plain,
% 16.00/11.17 (v123(constB132, 2)),
% 16.00/11.17 inference(unit_resolution,[status(thm)],[18978, 18977, 15615])).
% 16.00/11.17 tff(18980,plain,
% 16.00/11.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB131, constB132)) | (v94(constB132) <=> (~((~v95(constB132)) | (~v104(constB132))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB131, constB132)) | (v94(constB132) <=> (~((~v95(constB132)) | (~v104(constB132))))))),
% 16.00/11.17 inference(rewrite,[status(thm)],[])).
% 16.00/11.17 tff(18981,plain,
% 16.00/11.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB131, constB132)) | (v94(constB132) <=> (~((~v95(constB132)) | (~v104(constB132))))))),
% 16.00/11.18 inference(quant_inst,[status(thm)],[])).
% 16.00/11.18 tff(18982,plain,
% 16.00/11.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB131, constB132)) | (v94(constB132) <=> (~((~v95(constB132)) | (~v104(constB132)))))),
% 16.00/11.18 inference(modus_ponens,[status(thm)],[18981, 18980])).
% 16.00/11.18 tff(18983,plain,
% 16.00/11.18 (v94(constB132) <=> (~((~v95(constB132)) | (~v104(constB132))))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[18982, 15609, 770])).
% 16.00/11.18 tff(18984,plain,
% 16.00/11.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132))))))),
% 16.00/11.18 inference(rewrite,[status(thm)],[])).
% 16.00/11.18 tff(18985,plain,
% 16.00/11.18 (((~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v96(constB132)) | (~v1(constB132)))))) <=> ((~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132))))))),
% 16.00/11.18 inference(rewrite,[status(thm)],[])).
% 16.00/11.18 tff(18986,plain,
% 16.00/11.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v96(constB132)) | (~v1(constB132))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132)))))))),
% 16.00/11.18 inference(monotonicity,[status(thm)],[18985])).
% 16.00/11.18 tff(18987,plain,
% 16.00/11.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v96(constB132)) | (~v1(constB132))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132))))))),
% 16.00/11.18 inference(transitivity,[status(thm)],[18986, 18984])).
% 16.00/11.18 tff(18988,plain,
% 16.00/11.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v96(constB132)) | (~v1(constB132))))))),
% 16.00/11.18 inference(quant_inst,[status(thm)],[])).
% 16.00/11.18 tff(18989,plain,
% 16.00/11.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132)))))),
% 16.00/11.18 inference(modus_ponens,[status(thm)],[18988, 18987])).
% 16.00/11.18 tff(18990,plain,
% 16.00/11.18 (v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132))))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[18989, 15609, 790])).
% 16.00/11.18 tff(18991,plain,
% 16.00/11.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB131, constB132)) | ((~v96(constB132)) <=> v98(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB131, constB132)) | ((~v96(constB132)) <=> v98(constB132)))),
% 16.00/11.18 inference(rewrite,[status(thm)],[])).
% 16.00/11.18 tff(18992,plain,
% 16.00/11.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB131, constB132)) | ((~v96(constB132)) <=> v98(constB132)))),
% 16.00/11.18 inference(quant_inst,[status(thm)],[])).
% 16.00/11.18 tff(18993,plain,
% 16.00/11.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB131, constB132)) | ((~v96(constB132)) <=> v98(constB132))),
% 16.00/11.18 inference(modus_ponens,[status(thm)],[18992, 18991])).
% 16.00/11.18 tff(18994,plain,
% 16.00/11.18 ((~v96(constB132)) <=> v98(constB132)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[18993, 15609, 2332])).
% 16.00/11.18 tff(18995,plain,
% 16.00/11.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB131, constB132)) | (v98(constB132) <=> v1(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB131, constB132)) | (v98(constB132) <=> v1(constB131)))),
% 16.00/11.18 inference(rewrite,[status(thm)],[])).
% 16.00/11.18 tff(18996,plain,
% 16.00/11.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB131, constB132)) | (v98(constB132) <=> v1(constB131)))),
% 16.00/11.18 inference(quant_inst,[status(thm)],[])).
% 16.00/11.18 tff(18997,plain,
% 16.00/11.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB131, constB132)) | (v98(constB132) <=> v1(constB131))),
% 16.00/11.18 inference(modus_ponens,[status(thm)],[18996, 18995])).
% 16.00/11.18 tff(18998,plain,
% 16.00/11.18 (v98(constB132) <=> v1(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[18997, 15609, 2346])).
% 16.00/11.18 tff(18999,plain,
% 16.00/11.18 ((~(v98(constB132) <=> v1(constB131))) | (~v98(constB132)) | v1(constB131)),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19000,plain,
% 16.00/11.18 ((~(v98(constB132) <=> v1(constB131))) | (~v98(constB132))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[18999, 15648])).
% 16.00/11.18 tff(19001,plain,
% 16.00/11.18 (~v98(constB132)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19000, 18998])).
% 16.00/11.18 tff(19002,plain,
% 16.00/11.18 ((~((~v96(constB132)) <=> v98(constB132))) | v96(constB132) | v98(constB132)),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19003,plain,
% 16.00/11.18 (v96(constB132)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19002, 19001, 18994])).
% 16.00/11.18 tff(19004,plain,
% 16.00/11.18 (v1(constB132) <=> v1(constB132)),
% 16.00/11.18 inference(rewrite,[status(thm)],[])).
% 16.00/11.18 tff(19005,axiom,(v1(constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_132')).
% 16.00/11.18 tff(19006,plain,
% 16.00/11.18 (v1(constB132)),
% 16.00/11.18 inference(modus_ponens,[status(thm)],[19005, 19004])).
% 16.00/11.18 tff(19007,plain,
% 16.00/11.18 ((~((~v1(constB132)) | (~v96(constB132)))) | (~v1(constB132)) | (~v96(constB132))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19008,plain,
% 16.00/11.18 ((~((~v1(constB132)) | (~v96(constB132)))) | (~v96(constB132))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19007, 19006])).
% 16.00/11.18 tff(19009,plain,
% 16.00/11.18 (~((~v1(constB132)) | (~v96(constB132)))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19008, 19003])).
% 16.00/11.18 tff(19010,plain,
% 16.00/11.18 ((~(v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132)))))) | v95(constB132) | ((~v1(constB132)) | (~v96(constB132)))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19011,plain,
% 16.00/11.18 (v95(constB132)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19010, 19009, 18990])).
% 16.00/11.18 tff(19012,plain,
% 16.00/11.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB131, constB132)) | (v104(constB132) <=> v102(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB131, constB132)) | (v104(constB132) <=> v102(constB131)))),
% 16.00/11.18 inference(rewrite,[status(thm)],[])).
% 16.00/11.18 tff(19013,plain,
% 16.00/11.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB131, constB132)) | (v104(constB132) <=> v102(constB131)))),
% 16.00/11.18 inference(quant_inst,[status(thm)],[])).
% 16.00/11.18 tff(19014,plain,
% 16.00/11.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB131, constB132)) | (v104(constB132) <=> v102(constB131))),
% 16.00/11.18 inference(modus_ponens,[status(thm)],[19013, 19012])).
% 16.00/11.18 tff(19015,plain,
% 16.00/11.18 (v104(constB132) <=> v102(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19014, 15609, 2373])).
% 16.00/11.18 tff(19016,plain,
% 16.00/11.18 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB131) <=> (v105(constB131) | v106(constB131)))),
% 16.00/11.18 inference(quant_inst,[status(thm)],[])).
% 16.00/11.18 tff(19017,plain,
% 16.00/11.18 (v102(constB131) <=> (v105(constB131) | v106(constB131))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19016, 2384])).
% 16.00/11.18 tff(19018,plain,
% 16.00/11.18 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB131) <=> (~((~v107(constB131)) | (~v120(constB131)))))),
% 16.00/11.18 inference(quant_inst,[status(thm)],[])).
% 16.00/11.18 tff(19019,plain,
% 16.00/11.18 (v106(constB131) <=> (~((~v107(constB131)) | (~v120(constB131))))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19018, 2396])).
% 16.00/11.18 tff(19020,plain,
% 16.00/11.18 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB131) <=> (v108(constB131) | v119(constB131)))),
% 16.00/11.18 inference(quant_inst,[status(thm)],[])).
% 16.00/11.18 tff(19021,plain,
% 16.00/11.18 (v107(constB131) <=> (v108(constB131) | v119(constB131))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19020, 2405])).
% 16.00/11.18 tff(19022,plain,
% 16.00/11.18 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB131) <=> (v109(constB131) | v118(constB131)))),
% 16.00/11.18 inference(quant_inst,[status(thm)],[])).
% 16.00/11.18 tff(19023,plain,
% 16.00/11.18 (v108(constB131) <=> (v109(constB131) | v118(constB131))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19022, 2414])).
% 16.00/11.18 tff(19024,plain,
% 16.00/11.18 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB131) <=> (v110(constB131) | v117(constB131)))),
% 16.00/11.18 inference(quant_inst,[status(thm)],[])).
% 16.00/11.18 tff(19025,plain,
% 16.00/11.18 (v109(constB131) <=> (v110(constB131) | v117(constB131))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19024, 2423])).
% 16.00/11.18 tff(19026,plain,
% 16.00/11.18 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB131) <=> (v111(constB131) | v116(constB131)))),
% 16.00/11.18 inference(quant_inst,[status(thm)],[])).
% 16.00/11.18 tff(19027,plain,
% 16.00/11.18 (v110(constB131) <=> (v111(constB131) | v116(constB131))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19026, 2432])).
% 16.00/11.18 tff(19028,plain,
% 16.00/11.18 ((v111(constB131) | v116(constB131)) | (~v116(constB131))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19029,plain,
% 16.00/11.18 (v111(constB131) | v116(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19028, 18968])).
% 16.00/11.18 tff(19030,plain,
% 16.00/11.18 ((~(v110(constB131) <=> (v111(constB131) | v116(constB131)))) | v110(constB131) | (~(v111(constB131) | v116(constB131)))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19031,plain,
% 16.00/11.18 (v110(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19030, 19029, 19027])).
% 16.00/11.18 tff(19032,plain,
% 16.00/11.18 ((v110(constB131) | v117(constB131)) | (~v110(constB131))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19033,plain,
% 16.00/11.18 (v110(constB131) | v117(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19032, 19031])).
% 16.00/11.18 tff(19034,plain,
% 16.00/11.18 ((~(v109(constB131) <=> (v110(constB131) | v117(constB131)))) | v109(constB131) | (~(v110(constB131) | v117(constB131)))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19035,plain,
% 16.00/11.18 (v109(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19034, 19033, 19025])).
% 16.00/11.18 tff(19036,plain,
% 16.00/11.18 ((v109(constB131) | v118(constB131)) | (~v109(constB131))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19037,plain,
% 16.00/11.18 (v109(constB131) | v118(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19036, 19035])).
% 16.00/11.18 tff(19038,plain,
% 16.00/11.18 ((~(v108(constB131) <=> (v109(constB131) | v118(constB131)))) | v108(constB131) | (~(v109(constB131) | v118(constB131)))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19039,plain,
% 16.00/11.18 (v108(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19038, 19037, 19023])).
% 16.00/11.18 tff(19040,plain,
% 16.00/11.18 ((v108(constB131) | v119(constB131)) | (~v108(constB131))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19041,plain,
% 16.00/11.18 (v108(constB131) | v119(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19040, 19039])).
% 16.00/11.18 tff(19042,plain,
% 16.00/11.18 ((~(v107(constB131) <=> (v108(constB131) | v119(constB131)))) | v107(constB131) | (~(v108(constB131) | v119(constB131)))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19043,plain,
% 16.00/11.18 (v107(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19042, 19041, 19021])).
% 16.00/11.18 tff(19044,plain,
% 16.00/11.18 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB131)) <=> v105(constB131))),
% 16.00/11.18 inference(quant_inst,[status(thm)],[])).
% 16.00/11.18 tff(19045,plain,
% 16.00/11.18 ((~v120(constB131)) <=> v105(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19044, 2484])).
% 16.00/11.18 tff(19046,plain,
% 16.00/11.18 ((~((~v120(constB131)) <=> v105(constB131))) | v120(constB131) | v105(constB131)),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19047,plain,
% 16.00/11.18 ((~((~v120(constB131)) <=> v105(constB131))) | v120(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19046, 15622])).
% 16.00/11.18 tff(19048,plain,
% 16.00/11.18 (v120(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19047, 19045])).
% 16.00/11.18 tff(19049,plain,
% 16.00/11.18 ((~((~v107(constB131)) | (~v120(constB131)))) | (~v107(constB131)) | (~v120(constB131))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19050,plain,
% 16.00/11.18 ((~((~v107(constB131)) | (~v120(constB131)))) | (~v107(constB131))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19049, 19048])).
% 16.00/11.18 tff(19051,plain,
% 16.00/11.18 (~((~v107(constB131)) | (~v120(constB131)))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19050, 19043])).
% 16.00/11.18 tff(19052,plain,
% 16.00/11.18 ((~(v106(constB131) <=> (~((~v107(constB131)) | (~v120(constB131)))))) | v106(constB131) | ((~v107(constB131)) | (~v120(constB131)))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19053,plain,
% 16.00/11.18 (v106(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19052, 19051, 19019])).
% 16.00/11.18 tff(19054,plain,
% 16.00/11.18 ((v105(constB131) | v106(constB131)) | (~v106(constB131))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19055,plain,
% 16.00/11.18 (v105(constB131) | v106(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19054, 19053])).
% 16.00/11.18 tff(19056,plain,
% 16.00/11.18 ((~(v102(constB131) <=> (v105(constB131) | v106(constB131)))) | v102(constB131) | (~(v105(constB131) | v106(constB131)))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19057,plain,
% 16.00/11.18 (v102(constB131)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19056, 19055, 19017])).
% 16.00/11.18 tff(19058,plain,
% 16.00/11.18 ((~(v104(constB132) <=> v102(constB131))) | v104(constB132) | (~v102(constB131))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19059,plain,
% 16.00/11.18 (v104(constB132)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19058, 19057, 19015])).
% 16.00/11.18 tff(19060,plain,
% 16.00/11.18 ((~((~v95(constB132)) | (~v104(constB132)))) | (~v95(constB132)) | (~v104(constB132))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19061,plain,
% 16.00/11.18 (~((~v95(constB132)) | (~v104(constB132)))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19060, 19059, 19011])).
% 16.00/11.18 tff(19062,plain,
% 16.00/11.18 ((~(v94(constB132) <=> (~((~v95(constB132)) | (~v104(constB132)))))) | v94(constB132) | ((~v95(constB132)) | (~v104(constB132)))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19063,plain,
% 16.00/11.18 (v94(constB132)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19062, 19061, 18983])).
% 16.00/11.18 tff(19064,plain,
% 16.00/11.18 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB132)) | (~(((~v84(constB132, 2)) <=> v123(constB132, 2)) | ((~v84(constB132, 1)) <=> v123(constB132, 1)) | ((~v84(constB132, 0)) <=> v123(constB132, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB132)) | (~(((~v84(constB132, 2)) <=> v123(constB132, 2)) | ((~v84(constB132, 1)) <=> v123(constB132, 1)) | ((~v84(constB132, 0)) <=> v123(constB132, 0)))))),
% 16.00/11.18 inference(rewrite,[status(thm)],[])).
% 16.00/11.18 tff(19065,plain,
% 16.00/11.18 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB132)) | (~(((~v84(constB132, 2)) <=> v123(constB132, 2)) | ((~v84(constB132, 1)) <=> v123(constB132, 1)) | ((~v84(constB132, 0)) <=> v123(constB132, 0)))))),
% 16.00/11.18 inference(quant_inst,[status(thm)],[])).
% 16.00/11.18 tff(19066,plain,
% 16.00/11.18 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB132)) | (~(((~v84(constB132, 2)) <=> v123(constB132, 2)) | ((~v84(constB132, 1)) <=> v123(constB132, 1)) | ((~v84(constB132, 0)) <=> v123(constB132, 0))))),
% 16.00/11.18 inference(modus_ponens,[status(thm)],[19065, 19064])).
% 16.00/11.18 tff(19067,plain,
% 16.00/11.18 ((~v94(constB132)) | (~(((~v84(constB132, 2)) <=> v123(constB132, 2)) | ((~v84(constB132, 1)) <=> v123(constB132, 1)) | ((~v84(constB132, 0)) <=> v123(constB132, 0))))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19066, 2517])).
% 16.00/11.18 tff(19068,plain,
% 16.00/11.18 (~(((~v84(constB132, 2)) <=> v123(constB132, 2)) | ((~v84(constB132, 1)) <=> v123(constB132, 1)) | ((~v84(constB132, 0)) <=> v123(constB132, 0)))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19067, 19063])).
% 16.00/11.18 tff(19069,plain,
% 16.00/11.18 ((((~v84(constB132, 2)) <=> v123(constB132, 2)) | ((~v84(constB132, 1)) <=> v123(constB132, 1)) | ((~v84(constB132, 0)) <=> v123(constB132, 0))) | (~((~v84(constB132, 2)) <=> v123(constB132, 2)))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19070,plain,
% 16.00/11.18 (~((~v84(constB132, 2)) <=> v123(constB132, 2))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19069, 19068])).
% 16.00/11.18 tff(19071,plain,
% 16.00/11.18 (((~v84(constB132, 2)) <=> v123(constB132, 2)) | v84(constB132, 2) | (~v123(constB132, 2))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19072,plain,
% 16.00/11.18 (v84(constB132, 2)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19071, 19070, 18979])).
% 16.00/11.18 tff(19073,plain,
% 16.00/11.18 (((~v84(constB133, 2)) <=> v84(constB132, 2)) | v84(constB133, 2) | (~v84(constB132, 2))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19074,plain,
% 16.00/11.18 (v84(constB133, 2)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19073, 19072, 15606])).
% 16.00/11.18 tff(19075,plain,
% 16.00/11.18 ((((~v84(constB133, 1)) <=> v84(constB132, 1)) | ((~v84(constB133, 2)) <=> v84(constB132, 2)) | ((~v84(constB133, 0)) <=> v84(constB132, 0))) | (~((~v84(constB133, 0)) <=> v84(constB132, 0)))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19076,plain,
% 16.00/11.18 (~((~v84(constB133, 0)) <=> v84(constB132, 0))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19075, 15604])).
% 16.00/11.18 tff(19077,plain,
% 16.00/11.18 ((((~v123(constB132, 2)) <=> v121(constB131, 2)) | ((~v123(constB132, 1)) <=> v121(constB131, 1)) | ((~v123(constB132, 0)) <=> v121(constB131, 0))) | (~((~v123(constB132, 0)) <=> v121(constB131, 0)))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19078,plain,
% 16.00/11.18 (~((~v123(constB132, 0)) <=> v121(constB131, 0))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19077, 15613])).
% 16.00/11.18 tff(19079,plain,
% 16.00/11.18 ((((~v121(constB131, 2)) <=> v124(constB131, 2)) | ((~v121(constB131, 0)) <=> v124(constB131, 0)) | ((~v121(constB131, 1)) <=> v124(constB131, 1))) | (~((~v121(constB131, 0)) <=> v124(constB131, 0)))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19080,plain,
% 16.00/11.18 (~((~v121(constB131, 0)) <=> v124(constB131, 0))),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19079, 15627])).
% 16.00/11.18 tff(19081,plain,
% 16.00/11.18 ((v124(constB131, 0) | v124(constB131, 1) | (~v124(constB131, 2))) | (~v124(constB131, 0))),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19082,plain,
% 16.00/11.18 (~v124(constB131, 0)),
% 16.00/11.18 inference(unit_resolution,[status(thm)],[19081, 18973])).
% 16.00/11.18 tff(19083,plain,
% 16.00/11.18 (((~v121(constB131, 0)) <=> v124(constB131, 0)) | (~v121(constB131, 0)) | v124(constB131, 0)),
% 16.00/11.18 inference(tautology,[status(thm)],[])).
% 16.00/11.18 tff(19084,plain,
% 16.00/11.18 (~v121(constB131, 0)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19083, 19082, 19080])).
% 16.00/11.19 tff(19085,plain,
% 16.00/11.19 (((~v123(constB132, 0)) <=> v121(constB131, 0)) | (~v123(constB132, 0)) | v121(constB131, 0)),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19086,plain,
% 16.00/11.19 (~v123(constB132, 0)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19085, 19084, 19078])).
% 16.00/11.19 tff(19087,plain,
% 16.00/11.19 ((((~v84(constB132, 2)) <=> v123(constB132, 2)) | ((~v84(constB132, 1)) <=> v123(constB132, 1)) | ((~v84(constB132, 0)) <=> v123(constB132, 0))) | (~((~v84(constB132, 0)) <=> v123(constB132, 0)))),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19088,plain,
% 16.00/11.19 (~((~v84(constB132, 0)) <=> v123(constB132, 0))),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19087, 19068])).
% 16.00/11.19 tff(19089,plain,
% 16.00/11.19 (((~v84(constB132, 0)) <=> v123(constB132, 0)) | (~v84(constB132, 0)) | v123(constB132, 0)),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19090,plain,
% 16.00/11.19 (~v84(constB132, 0)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19089, 19088, 19086])).
% 16.00/11.19 tff(19091,plain,
% 16.00/11.19 (((~v84(constB133, 0)) <=> v84(constB132, 0)) | (~v84(constB133, 0)) | v84(constB132, 0)),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19092,plain,
% 16.00/11.19 (~v84(constB133, 0)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19091, 19090, 19076])).
% 16.00/11.19 tff(19093,plain,
% 16.00/11.19 ((((~v84(constB133, 1)) <=> v84(constB132, 1)) | ((~v84(constB133, 2)) <=> v84(constB132, 2)) | ((~v84(constB133, 0)) <=> v84(constB132, 0))) | (~((~v84(constB133, 1)) <=> v84(constB132, 1)))),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19094,plain,
% 16.00/11.19 (~((~v84(constB133, 1)) <=> v84(constB132, 1))),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19093, 15604])).
% 16.00/11.19 tff(19095,plain,
% 16.00/11.19 ((((~v123(constB132, 2)) <=> v121(constB131, 2)) | ((~v123(constB132, 1)) <=> v121(constB131, 1)) | ((~v123(constB132, 0)) <=> v121(constB131, 0))) | (~((~v123(constB132, 1)) <=> v121(constB131, 1)))),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19096,plain,
% 16.00/11.19 (~((~v123(constB132, 1)) <=> v121(constB131, 1))),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19095, 15613])).
% 16.00/11.19 tff(19097,plain,
% 16.00/11.19 ((((~v121(constB131, 2)) <=> v124(constB131, 2)) | ((~v121(constB131, 0)) <=> v124(constB131, 0)) | ((~v121(constB131, 1)) <=> v124(constB131, 1))) | (~((~v121(constB131, 1)) <=> v124(constB131, 1)))),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19098,plain,
% 16.00/11.19 (~((~v121(constB131, 1)) <=> v124(constB131, 1))),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19097, 15627])).
% 16.00/11.19 tff(19099,plain,
% 16.00/11.19 ((v124(constB131, 0) | v124(constB131, 1) | (~v124(constB131, 2))) | (~v124(constB131, 1))),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19100,plain,
% 16.00/11.19 (~v124(constB131, 1)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19099, 18973])).
% 16.00/11.19 tff(19101,plain,
% 16.00/11.19 (((~v121(constB131, 1)) <=> v124(constB131, 1)) | (~v121(constB131, 1)) | v124(constB131, 1)),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19102,plain,
% 16.00/11.19 (~v121(constB131, 1)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19101, 19100, 19098])).
% 16.00/11.19 tff(19103,plain,
% 16.00/11.19 (((~v123(constB132, 1)) <=> v121(constB131, 1)) | (~v123(constB132, 1)) | v121(constB131, 1)),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19104,plain,
% 16.00/11.19 (~v123(constB132, 1)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19103, 19102, 19096])).
% 16.00/11.19 tff(19105,plain,
% 16.00/11.19 ((((~v84(constB132, 2)) <=> v123(constB132, 2)) | ((~v84(constB132, 1)) <=> v123(constB132, 1)) | ((~v84(constB132, 0)) <=> v123(constB132, 0))) | (~((~v84(constB132, 1)) <=> v123(constB132, 1)))),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19106,plain,
% 16.00/11.19 (~((~v84(constB132, 1)) <=> v123(constB132, 1))),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19105, 19068])).
% 16.00/11.19 tff(19107,plain,
% 16.00/11.19 (((~v84(constB132, 1)) <=> v123(constB132, 1)) | (~v84(constB132, 1)) | v123(constB132, 1)),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19108,plain,
% 16.00/11.19 (~v84(constB132, 1)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19107, 19106, 19104])).
% 16.00/11.19 tff(19109,plain,
% 16.00/11.19 (((~v84(constB133, 1)) <=> v84(constB132, 1)) | (~v84(constB133, 1)) | v84(constB132, 1)),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19110,plain,
% 16.00/11.19 (~v84(constB133, 1)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19109, 19108, 19094])).
% 16.00/11.19 tff(19111,plain,
% 16.00/11.19 ((~(v84(constB133, 1) | v84(constB133, 0) | (~v84(constB133, 2)))) | v84(constB133, 1) | v84(constB133, 0) | (~v84(constB133, 2))),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19112,plain,
% 16.00/11.19 (~(v84(constB133, 1) | v84(constB133, 0) | (~v84(constB133, 2)))),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19111, 19110, 19092, 19074])).
% 16.00/11.19 tff(19113,plain,
% 16.00/11.19 ((~(v117(constB133) <=> (~(v84(constB133, 1) | v84(constB133, 0) | (~v84(constB133, 2)))))) | v117(constB133) | (v84(constB133, 1) | v84(constB133, 0) | (~v84(constB133, 2)))),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19114,plain,
% 16.00/11.19 (v117(constB133)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19113, 19112, 15570])).
% 16.00/11.19 tff(19115,plain,
% 16.00/11.19 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB133)) | (~(v124(constB133, 0) | (~v124(constB133, 2)) | (~v124(constB133, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB133)) | (~(v124(constB133, 0) | (~v124(constB133, 2)) | (~v124(constB133, 1)))))),
% 16.00/11.19 inference(rewrite,[status(thm)],[])).
% 16.00/11.19 tff(19116,plain,
% 16.00/11.19 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB133)) | (~(v124(constB133, 0) | (~v124(constB133, 2)) | (~v124(constB133, 1)))))),
% 16.00/11.19 inference(quant_inst,[status(thm)],[])).
% 16.00/11.19 tff(19117,plain,
% 16.00/11.19 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB133)) | (~(v124(constB133, 0) | (~v124(constB133, 2)) | (~v124(constB133, 1))))),
% 16.00/11.19 inference(modus_ponens,[status(thm)],[19116, 19115])).
% 16.00/11.19 tff(19118,plain,
% 16.00/11.19 ((~v117(constB133)) | (~(v124(constB133, 0) | (~v124(constB133, 2)) | (~v124(constB133, 1))))),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19117, 2584])).
% 16.00/11.19 tff(19119,plain,
% 16.00/11.19 (~(v124(constB133, 0) | (~v124(constB133, 2)) | (~v124(constB133, 1)))),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19118, 19114])).
% 16.00/11.19 tff(19120,plain,
% 16.00/11.19 ((v124(constB133, 0) | (~v124(constB133, 2)) | (~v124(constB133, 1))) | (~v124(constB133, 0))),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19121,plain,
% 16.00/11.19 (~v124(constB133, 0)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19120, 19119])).
% 16.00/11.19 tff(19122,plain,
% 16.00/11.19 (((~v121(constB133, 0)) <=> v124(constB133, 0)) | (~v121(constB133, 0)) | v124(constB133, 0)),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19123,plain,
% 16.00/11.19 (~v121(constB133, 0)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19122, 19121, 15563])).
% 16.00/11.19 tff(19124,plain,
% 16.00/11.19 (((~v123(constB134, 0)) <=> v121(constB133, 0)) | (~v123(constB134, 0)) | v121(constB133, 0)),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19125,plain,
% 16.00/11.19 (~v123(constB134, 0)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19124, 19123, 15549])).
% 16.00/11.19 tff(19126,plain,
% 16.00/11.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB133, constB134)) | (v94(constB134) <=> (~((~v95(constB134)) | (~v104(constB134))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB133, constB134)) | (v94(constB134) <=> (~((~v95(constB134)) | (~v104(constB134))))))),
% 16.00/11.19 inference(rewrite,[status(thm)],[])).
% 16.00/11.19 tff(19127,plain,
% 16.00/11.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB133, constB134)) | (v94(constB134) <=> (~((~v95(constB134)) | (~v104(constB134))))))),
% 16.00/11.19 inference(quant_inst,[status(thm)],[])).
% 16.00/11.19 tff(19128,plain,
% 16.00/11.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB133, constB134)) | (v94(constB134) <=> (~((~v95(constB134)) | (~v104(constB134)))))),
% 16.00/11.19 inference(modus_ponens,[status(thm)],[19127, 19126])).
% 16.00/11.19 tff(19129,plain,
% 16.00/11.19 (v94(constB134) <=> (~((~v95(constB134)) | (~v104(constB134))))),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19128, 15543, 770])).
% 16.00/11.19 tff(19130,plain,
% 16.00/11.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134))))))),
% 16.00/11.19 inference(rewrite,[status(thm)],[])).
% 16.00/11.19 tff(19131,plain,
% 16.00/11.19 (((~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v96(constB134)) | (~v1(constB134)))))) <=> ((~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134))))))),
% 16.00/11.19 inference(rewrite,[status(thm)],[])).
% 16.00/11.19 tff(19132,plain,
% 16.00/11.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v96(constB134)) | (~v1(constB134))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134)))))))),
% 16.00/11.19 inference(monotonicity,[status(thm)],[19131])).
% 16.00/11.19 tff(19133,plain,
% 16.00/11.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v96(constB134)) | (~v1(constB134))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134))))))),
% 16.00/11.19 inference(transitivity,[status(thm)],[19132, 19130])).
% 16.00/11.19 tff(19134,plain,
% 16.00/11.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v96(constB134)) | (~v1(constB134))))))),
% 16.00/11.19 inference(quant_inst,[status(thm)],[])).
% 16.00/11.19 tff(19135,plain,
% 16.00/11.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134)))))),
% 16.00/11.19 inference(modus_ponens,[status(thm)],[19134, 19133])).
% 16.00/11.19 tff(19136,plain,
% 16.00/11.19 (v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134))))),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19135, 15543, 790])).
% 16.00/11.19 tff(19137,plain,
% 16.00/11.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB133, constB134)) | ((~v96(constB134)) <=> v98(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB133, constB134)) | ((~v96(constB134)) <=> v98(constB134)))),
% 16.00/11.19 inference(rewrite,[status(thm)],[])).
% 16.00/11.19 tff(19138,plain,
% 16.00/11.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB133, constB134)) | ((~v96(constB134)) <=> v98(constB134)))),
% 16.00/11.19 inference(quant_inst,[status(thm)],[])).
% 16.00/11.19 tff(19139,plain,
% 16.00/11.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB133, constB134)) | ((~v96(constB134)) <=> v98(constB134))),
% 16.00/11.19 inference(modus_ponens,[status(thm)],[19138, 19137])).
% 16.00/11.19 tff(19140,plain,
% 16.00/11.19 ((~v96(constB134)) <=> v98(constB134)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19139, 15543, 2332])).
% 16.00/11.19 tff(19141,plain,
% 16.00/11.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB133, constB134)) | (v98(constB134) <=> v1(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB133, constB134)) | (v98(constB134) <=> v1(constB133)))),
% 16.00/11.19 inference(rewrite,[status(thm)],[])).
% 16.00/11.19 tff(19142,plain,
% 16.00/11.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB133, constB134)) | (v98(constB134) <=> v1(constB133)))),
% 16.00/11.19 inference(quant_inst,[status(thm)],[])).
% 16.00/11.19 tff(19143,plain,
% 16.00/11.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB133, constB134)) | (v98(constB134) <=> v1(constB133))),
% 16.00/11.19 inference(modus_ponens,[status(thm)],[19142, 19141])).
% 16.00/11.19 tff(19144,plain,
% 16.00/11.19 (v98(constB134) <=> v1(constB133)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19143, 15543, 2346])).
% 16.00/11.19 tff(19145,plain,
% 16.00/11.19 ((~(v98(constB134) <=> v1(constB133))) | (~v98(constB134)) | v1(constB133)),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19146,plain,
% 16.00/11.19 ((~(v98(constB134) <=> v1(constB133))) | (~v98(constB134))),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19145, 15587])).
% 16.00/11.19 tff(19147,plain,
% 16.00/11.19 (~v98(constB134)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19146, 19144])).
% 16.00/11.19 tff(19148,plain,
% 16.00/11.19 ((~((~v96(constB134)) <=> v98(constB134))) | v96(constB134) | v98(constB134)),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19149,plain,
% 16.00/11.19 (v96(constB134)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19148, 19147, 19140])).
% 16.00/11.19 tff(19150,plain,
% 16.00/11.19 (v1(constB134) <=> v1(constB134)),
% 16.00/11.19 inference(rewrite,[status(thm)],[])).
% 16.00/11.19 tff(19151,axiom,(v1(constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_134')).
% 16.00/11.19 tff(19152,plain,
% 16.00/11.19 (v1(constB134)),
% 16.00/11.19 inference(modus_ponens,[status(thm)],[19151, 19150])).
% 16.00/11.19 tff(19153,plain,
% 16.00/11.19 ((~((~v1(constB134)) | (~v96(constB134)))) | (~v1(constB134)) | (~v96(constB134))),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19154,plain,
% 16.00/11.19 ((~((~v1(constB134)) | (~v96(constB134)))) | (~v96(constB134))),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19153, 19152])).
% 16.00/11.19 tff(19155,plain,
% 16.00/11.19 (~((~v1(constB134)) | (~v96(constB134)))),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19154, 19149])).
% 16.00/11.19 tff(19156,plain,
% 16.00/11.19 ((~(v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134)))))) | v95(constB134) | ((~v1(constB134)) | (~v96(constB134)))),
% 16.00/11.19 inference(tautology,[status(thm)],[])).
% 16.00/11.19 tff(19157,plain,
% 16.00/11.19 (v95(constB134)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19156, 19155, 19136])).
% 16.00/11.19 tff(19158,plain,
% 16.00/11.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB133, constB134)) | (v104(constB134) <=> v102(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB133, constB134)) | (v104(constB134) <=> v102(constB133)))),
% 16.00/11.19 inference(rewrite,[status(thm)],[])).
% 16.00/11.19 tff(19159,plain,
% 16.00/11.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB133, constB134)) | (v104(constB134) <=> v102(constB133)))),
% 16.00/11.19 inference(quant_inst,[status(thm)],[])).
% 16.00/11.19 tff(19160,plain,
% 16.00/11.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB133, constB134)) | (v104(constB134) <=> v102(constB133))),
% 16.00/11.19 inference(modus_ponens,[status(thm)],[19159, 19158])).
% 16.00/11.19 tff(19161,plain,
% 16.00/11.19 (v104(constB134) <=> v102(constB133)),
% 16.00/11.19 inference(unit_resolution,[status(thm)],[19160, 15543, 2373])).
% 16.00/11.19 tff(19162,plain,
% 16.00/11.20 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB133) <=> (v105(constB133) | v106(constB133)))),
% 16.00/11.20 inference(quant_inst,[status(thm)],[])).
% 16.00/11.20 tff(19163,plain,
% 16.00/11.20 (v102(constB133) <=> (v105(constB133) | v106(constB133))),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19162, 2384])).
% 16.00/11.20 tff(19164,plain,
% 16.00/11.20 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB133) <=> (~((~v107(constB133)) | (~v120(constB133)))))),
% 16.00/11.20 inference(quant_inst,[status(thm)],[])).
% 16.00/11.20 tff(19165,plain,
% 16.00/11.20 (v106(constB133) <=> (~((~v107(constB133)) | (~v120(constB133))))),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19164, 2396])).
% 16.00/11.20 tff(19166,plain,
% 16.00/11.20 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB133) <=> (v108(constB133) | v119(constB133)))),
% 16.00/11.20 inference(quant_inst,[status(thm)],[])).
% 16.00/11.20 tff(19167,plain,
% 16.00/11.20 (v107(constB133) <=> (v108(constB133) | v119(constB133))),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19166, 2405])).
% 16.00/11.20 tff(19168,plain,
% 16.00/11.20 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB133) <=> (v109(constB133) | v118(constB133)))),
% 16.00/11.20 inference(quant_inst,[status(thm)],[])).
% 16.00/11.20 tff(19169,plain,
% 16.00/11.20 (v108(constB133) <=> (v109(constB133) | v118(constB133))),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19168, 2414])).
% 16.00/11.20 tff(19170,plain,
% 16.00/11.20 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB133) <=> (v110(constB133) | v117(constB133)))),
% 16.00/11.20 inference(quant_inst,[status(thm)],[])).
% 16.00/11.20 tff(19171,plain,
% 16.00/11.20 (v109(constB133) <=> (v110(constB133) | v117(constB133))),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19170, 2423])).
% 16.00/11.20 tff(19172,plain,
% 16.00/11.20 ((v110(constB133) | v117(constB133)) | (~v117(constB133))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19173,plain,
% 16.00/11.20 (v110(constB133) | v117(constB133)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19172, 19114])).
% 16.00/11.20 tff(19174,plain,
% 16.00/11.20 ((~(v109(constB133) <=> (v110(constB133) | v117(constB133)))) | v109(constB133) | (~(v110(constB133) | v117(constB133)))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19175,plain,
% 16.00/11.20 (v109(constB133)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19174, 19173, 19171])).
% 16.00/11.20 tff(19176,plain,
% 16.00/11.20 ((v109(constB133) | v118(constB133)) | (~v109(constB133))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19177,plain,
% 16.00/11.20 (v109(constB133) | v118(constB133)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19176, 19175])).
% 16.00/11.20 tff(19178,plain,
% 16.00/11.20 ((~(v108(constB133) <=> (v109(constB133) | v118(constB133)))) | v108(constB133) | (~(v109(constB133) | v118(constB133)))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19179,plain,
% 16.00/11.20 (v108(constB133)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19178, 19177, 19169])).
% 16.00/11.20 tff(19180,plain,
% 16.00/11.20 ((v108(constB133) | v119(constB133)) | (~v108(constB133))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19181,plain,
% 16.00/11.20 (v108(constB133) | v119(constB133)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19180, 19179])).
% 16.00/11.20 tff(19182,plain,
% 16.00/11.20 ((~(v107(constB133) <=> (v108(constB133) | v119(constB133)))) | v107(constB133) | (~(v108(constB133) | v119(constB133)))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19183,plain,
% 16.00/11.20 (v107(constB133)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19182, 19181, 19167])).
% 16.00/11.20 tff(19184,plain,
% 16.00/11.20 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB133)) <=> v105(constB133))),
% 16.00/11.20 inference(quant_inst,[status(thm)],[])).
% 16.00/11.20 tff(19185,plain,
% 16.00/11.20 ((~v120(constB133)) <=> v105(constB133)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19184, 2484])).
% 16.00/11.20 tff(19186,plain,
% 16.00/11.20 ((~((~v120(constB133)) <=> v105(constB133))) | v120(constB133) | v105(constB133)),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19187,plain,
% 16.00/11.20 ((~((~v120(constB133)) <=> v105(constB133))) | v120(constB133)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19186, 15556])).
% 16.00/11.20 tff(19188,plain,
% 16.00/11.20 (v120(constB133)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19187, 19185])).
% 16.00/11.20 tff(19189,plain,
% 16.00/11.20 ((~((~v107(constB133)) | (~v120(constB133)))) | (~v107(constB133)) | (~v120(constB133))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19190,plain,
% 16.00/11.20 ((~((~v107(constB133)) | (~v120(constB133)))) | (~v107(constB133))),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19189, 19188])).
% 16.00/11.20 tff(19191,plain,
% 16.00/11.20 (~((~v107(constB133)) | (~v120(constB133)))),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19190, 19183])).
% 16.00/11.20 tff(19192,plain,
% 16.00/11.20 ((~(v106(constB133) <=> (~((~v107(constB133)) | (~v120(constB133)))))) | v106(constB133) | ((~v107(constB133)) | (~v120(constB133)))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19193,plain,
% 16.00/11.20 (v106(constB133)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19192, 19191, 19165])).
% 16.00/11.20 tff(19194,plain,
% 16.00/11.20 ((v105(constB133) | v106(constB133)) | (~v106(constB133))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19195,plain,
% 16.00/11.20 (v105(constB133) | v106(constB133)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19194, 19193])).
% 16.00/11.20 tff(19196,plain,
% 16.00/11.20 ((~(v102(constB133) <=> (v105(constB133) | v106(constB133)))) | v102(constB133) | (~(v105(constB133) | v106(constB133)))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19197,plain,
% 16.00/11.20 (v102(constB133)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19196, 19195, 19163])).
% 16.00/11.20 tff(19198,plain,
% 16.00/11.20 ((~(v104(constB134) <=> v102(constB133))) | v104(constB134) | (~v102(constB133))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19199,plain,
% 16.00/11.20 (v104(constB134)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19198, 19197, 19161])).
% 16.00/11.20 tff(19200,plain,
% 16.00/11.20 ((~((~v95(constB134)) | (~v104(constB134)))) | (~v95(constB134)) | (~v104(constB134))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19201,plain,
% 16.00/11.20 (~((~v95(constB134)) | (~v104(constB134)))),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19200, 19199, 19157])).
% 16.00/11.20 tff(19202,plain,
% 16.00/11.20 ((~(v94(constB134) <=> (~((~v95(constB134)) | (~v104(constB134)))))) | v94(constB134) | ((~v95(constB134)) | (~v104(constB134)))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19203,plain,
% 16.00/11.20 (v94(constB134)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19202, 19201, 19129])).
% 16.00/11.20 tff(19204,plain,
% 16.00/11.20 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB134)) | (~(((~v84(constB134, 0)) <=> v123(constB134, 0)) | ((~v84(constB134, 2)) <=> v123(constB134, 2)) | ((~v84(constB134, 1)) <=> v123(constB134, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB134)) | (~(((~v84(constB134, 0)) <=> v123(constB134, 0)) | ((~v84(constB134, 2)) <=> v123(constB134, 2)) | ((~v84(constB134, 1)) <=> v123(constB134, 1)))))),
% 16.00/11.20 inference(rewrite,[status(thm)],[])).
% 16.00/11.20 tff(19205,plain,
% 16.00/11.20 (((~v94(constB134)) | (~(((~v84(constB134, 2)) <=> v123(constB134, 2)) | ((~v84(constB134, 1)) <=> v123(constB134, 1)) | ((~v84(constB134, 0)) <=> v123(constB134, 0))))) <=> ((~v94(constB134)) | (~(((~v84(constB134, 0)) <=> v123(constB134, 0)) | ((~v84(constB134, 2)) <=> v123(constB134, 2)) | ((~v84(constB134, 1)) <=> v123(constB134, 1)))))),
% 16.00/11.20 inference(rewrite,[status(thm)],[])).
% 16.00/11.20 tff(19206,plain,
% 16.00/11.20 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB134)) | (~(((~v84(constB134, 2)) <=> v123(constB134, 2)) | ((~v84(constB134, 1)) <=> v123(constB134, 1)) | ((~v84(constB134, 0)) <=> v123(constB134, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB134)) | (~(((~v84(constB134, 0)) <=> v123(constB134, 0)) | ((~v84(constB134, 2)) <=> v123(constB134, 2)) | ((~v84(constB134, 1)) <=> v123(constB134, 1))))))),
% 16.00/11.20 inference(monotonicity,[status(thm)],[19205])).
% 16.00/11.20 tff(19207,plain,
% 16.00/11.20 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB134)) | (~(((~v84(constB134, 2)) <=> v123(constB134, 2)) | ((~v84(constB134, 1)) <=> v123(constB134, 1)) | ((~v84(constB134, 0)) <=> v123(constB134, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB134)) | (~(((~v84(constB134, 0)) <=> v123(constB134, 0)) | ((~v84(constB134, 2)) <=> v123(constB134, 2)) | ((~v84(constB134, 1)) <=> v123(constB134, 1)))))),
% 16.00/11.20 inference(transitivity,[status(thm)],[19206, 19204])).
% 16.00/11.20 tff(19208,plain,
% 16.00/11.20 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB134)) | (~(((~v84(constB134, 2)) <=> v123(constB134, 2)) | ((~v84(constB134, 1)) <=> v123(constB134, 1)) | ((~v84(constB134, 0)) <=> v123(constB134, 0)))))),
% 16.00/11.20 inference(quant_inst,[status(thm)],[])).
% 16.00/11.20 tff(19209,plain,
% 16.00/11.20 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB134)) | (~(((~v84(constB134, 0)) <=> v123(constB134, 0)) | ((~v84(constB134, 2)) <=> v123(constB134, 2)) | ((~v84(constB134, 1)) <=> v123(constB134, 1))))),
% 16.00/11.20 inference(modus_ponens,[status(thm)],[19208, 19207])).
% 16.00/11.20 tff(19210,plain,
% 16.00/11.20 ((~v94(constB134)) | (~(((~v84(constB134, 0)) <=> v123(constB134, 0)) | ((~v84(constB134, 2)) <=> v123(constB134, 2)) | ((~v84(constB134, 1)) <=> v123(constB134, 1))))),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19209, 2517])).
% 16.00/11.20 tff(19211,plain,
% 16.00/11.20 (~(((~v84(constB134, 0)) <=> v123(constB134, 0)) | ((~v84(constB134, 2)) <=> v123(constB134, 2)) | ((~v84(constB134, 1)) <=> v123(constB134, 1)))),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19210, 19203])).
% 16.00/11.20 tff(19212,plain,
% 16.00/11.20 ((((~v84(constB134, 0)) <=> v123(constB134, 0)) | ((~v84(constB134, 2)) <=> v123(constB134, 2)) | ((~v84(constB134, 1)) <=> v123(constB134, 1))) | (~((~v84(constB134, 0)) <=> v123(constB134, 0)))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19213,plain,
% 16.00/11.20 (~((~v84(constB134, 0)) <=> v123(constB134, 0))),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19212, 19211])).
% 16.00/11.20 tff(19214,plain,
% 16.00/11.20 (((~v84(constB134, 0)) <=> v123(constB134, 0)) | (~v84(constB134, 0)) | v123(constB134, 0)),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19215,plain,
% 16.00/11.20 (~v84(constB134, 0)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19214, 19213, 19125])).
% 16.00/11.20 tff(19216,plain,
% 16.00/11.20 (((~v84(constB135, 0)) <=> v84(constB134, 0)) | (~v84(constB135, 0)) | v84(constB134, 0)),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19217,plain,
% 16.00/11.20 (~v84(constB135, 0)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19216, 19215, 15540])).
% 16.00/11.20 tff(19218,plain,
% 16.00/11.20 ((v84(constB135, 1) | v84(constB135, 2) | (~v84(constB135, 0))) | v84(constB135, 0)),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19219,plain,
% 16.00/11.20 (v84(constB135, 1) | v84(constB135, 2) | (~v84(constB135, 0))),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19218, 19217])).
% 16.00/11.20 tff(19220,plain,
% 16.00/11.20 ((~(v114(constB135) <=> (~(v84(constB135, 1) | v84(constB135, 2) | (~v84(constB135, 0)))))) | (~v114(constB135)) | (~(v84(constB135, 1) | v84(constB135, 2) | (~v84(constB135, 0))))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19221,plain,
% 16.00/11.20 (~v114(constB135)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19220, 19219, 15504])).
% 16.00/11.20 tff(19222,plain,
% 16.00/11.20 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB135) <=> (~(v84(constB135, 1) | (~v84(constB135, 2)) | (~v84(constB135, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB135) <=> (~(v84(constB135, 1) | (~v84(constB135, 2)) | (~v84(constB135, 0))))))),
% 16.00/11.20 inference(rewrite,[status(thm)],[])).
% 16.00/11.20 tff(19223,plain,
% 16.00/11.20 ((v118(constB135) <=> (~(v84(constB135, 1) | (~v84(constB135, 0)) | (~v84(constB135, 2))))) <=> (v118(constB135) <=> (~(v84(constB135, 1) | (~v84(constB135, 2)) | (~v84(constB135, 0)))))),
% 16.00/11.20 inference(rewrite,[status(thm)],[])).
% 16.00/11.20 tff(19224,plain,
% 16.00/11.20 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB135) <=> (~(v84(constB135, 1) | (~v84(constB135, 0)) | (~v84(constB135, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB135) <=> (~(v84(constB135, 1) | (~v84(constB135, 2)) | (~v84(constB135, 0))))))),
% 16.00/11.20 inference(monotonicity,[status(thm)],[19223])).
% 16.00/11.20 tff(19225,plain,
% 16.00/11.20 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB135) <=> (~(v84(constB135, 1) | (~v84(constB135, 0)) | (~v84(constB135, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB135) <=> (~(v84(constB135, 1) | (~v84(constB135, 2)) | (~v84(constB135, 0))))))),
% 16.00/11.20 inference(transitivity,[status(thm)],[19224, 19222])).
% 16.00/11.20 tff(19226,plain,
% 16.00/11.20 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB135) <=> (~(v84(constB135, 1) | (~v84(constB135, 0)) | (~v84(constB135, 2)))))),
% 16.00/11.20 inference(quant_inst,[status(thm)],[])).
% 16.00/11.20 tff(19227,plain,
% 16.00/11.20 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB135) <=> (~(v84(constB135, 1) | (~v84(constB135, 2)) | (~v84(constB135, 0)))))),
% 16.00/11.20 inference(modus_ponens,[status(thm)],[19226, 19225])).
% 16.00/11.20 tff(19228,plain,
% 16.00/11.20 (v118(constB135) <=> (~(v84(constB135, 1) | (~v84(constB135, 2)) | (~v84(constB135, 0))))),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19227, 2701])).
% 16.00/11.20 tff(19229,plain,
% 16.00/11.20 ((v84(constB135, 1) | (~v84(constB135, 2)) | (~v84(constB135, 0))) | v84(constB135, 0)),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19230,plain,
% 16.00/11.20 (v84(constB135, 1) | (~v84(constB135, 2)) | (~v84(constB135, 0))),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19229, 19217])).
% 16.00/11.20 tff(19231,plain,
% 16.00/11.20 ((~(v118(constB135) <=> (~(v84(constB135, 1) | (~v84(constB135, 2)) | (~v84(constB135, 0)))))) | (~v118(constB135)) | (~(v84(constB135, 1) | (~v84(constB135, 2)) | (~v84(constB135, 0))))),
% 16.00/11.20 inference(tautology,[status(thm)],[])).
% 16.00/11.20 tff(19232,plain,
% 16.00/11.20 (~v118(constB135)),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19231, 19230, 19228])).
% 16.00/11.20 tff(19233,plain,
% 16.00/11.20 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB135) <=> (~(v84(constB135, 1) | v84(constB135, 0) | (~v84(constB135, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB135) <=> (~(v84(constB135, 1) | v84(constB135, 0) | (~v84(constB135, 2))))))),
% 16.00/11.20 inference(rewrite,[status(thm)],[])).
% 16.00/11.20 tff(19234,plain,
% 16.00/11.20 ((v117(constB135) <=> (~(v84(constB135, 0) | v84(constB135, 1) | (~v84(constB135, 2))))) <=> (v117(constB135) <=> (~(v84(constB135, 1) | v84(constB135, 0) | (~v84(constB135, 2)))))),
% 16.00/11.20 inference(rewrite,[status(thm)],[])).
% 16.00/11.20 tff(19235,plain,
% 16.00/11.20 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB135) <=> (~(v84(constB135, 0) | v84(constB135, 1) | (~v84(constB135, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB135) <=> (~(v84(constB135, 1) | v84(constB135, 0) | (~v84(constB135, 2))))))),
% 16.00/11.20 inference(monotonicity,[status(thm)],[19234])).
% 16.00/11.20 tff(19236,plain,
% 16.00/11.20 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB135) <=> (~(v84(constB135, 0) | v84(constB135, 1) | (~v84(constB135, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB135) <=> (~(v84(constB135, 1) | v84(constB135, 0) | (~v84(constB135, 2))))))),
% 16.00/11.20 inference(transitivity,[status(thm)],[19235, 19233])).
% 16.00/11.20 tff(19237,plain,
% 16.00/11.20 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB135) <=> (~(v84(constB135, 0) | v84(constB135, 1) | (~v84(constB135, 2)))))),
% 16.00/11.20 inference(quant_inst,[status(thm)],[])).
% 16.00/11.20 tff(19238,plain,
% 16.00/11.20 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB135) <=> (~(v84(constB135, 1) | v84(constB135, 0) | (~v84(constB135, 2)))))),
% 16.00/11.20 inference(modus_ponens,[status(thm)],[19237, 19236])).
% 16.00/11.20 tff(19239,plain,
% 16.00/11.20 (v117(constB135) <=> (~(v84(constB135, 1) | v84(constB135, 0) | (~v84(constB135, 2))))),
% 16.00/11.20 inference(unit_resolution,[status(thm)],[19238, 1199])).
% 16.00/11.21 tff(19240,plain,
% 16.00/11.21 ((((~v84(constB135, 1)) <=> v84(constB134, 1)) | ((~v84(constB135, 2)) <=> v84(constB134, 2)) | ((~v84(constB135, 0)) <=> v84(constB134, 0))) | (~((~v84(constB135, 1)) <=> v84(constB134, 1)))),
% 16.00/11.21 inference(tautology,[status(thm)],[])).
% 16.00/11.21 tff(19241,plain,
% 16.00/11.21 (~((~v84(constB135, 1)) <=> v84(constB134, 1))),
% 16.00/11.21 inference(unit_resolution,[status(thm)],[19240, 15538])).
% 16.00/11.21 tff(19242,plain,
% 16.00/11.21 ((((~v123(constB134, 2)) <=> v121(constB133, 2)) | ((~v123(constB134, 1)) <=> v121(constB133, 1)) | ((~v123(constB134, 0)) <=> v121(constB133, 0))) | (~((~v123(constB134, 1)) <=> v121(constB133, 1)))),
% 16.00/11.21 inference(tautology,[status(thm)],[])).
% 16.00/11.21 tff(19243,plain,
% 16.00/11.21 (~((~v123(constB134, 1)) <=> v121(constB133, 1))),
% 16.00/11.21 inference(unit_resolution,[status(thm)],[19242, 15547])).
% 16.00/11.21 tff(19244,plain,
% 16.00/11.21 ((((~v121(constB133, 2)) <=> v124(constB133, 2)) | ((~v121(constB133, 0)) <=> v124(constB133, 0)) | ((~v121(constB133, 1)) <=> v124(constB133, 1))) | (~((~v121(constB133, 1)) <=> v124(constB133, 1)))),
% 16.00/11.21 inference(tautology,[status(thm)],[])).
% 16.00/11.21 tff(19245,plain,
% 16.00/11.21 (~((~v121(constB133, 1)) <=> v124(constB133, 1))),
% 16.00/11.21 inference(unit_resolution,[status(thm)],[19244, 15561])).
% 16.00/11.21 tff(19246,plain,
% 16.00/11.21 ((v124(constB133, 0) | (~v124(constB133, 2)) | (~v124(constB133, 1))) | v124(constB133, 1)),
% 16.00/11.21 inference(tautology,[status(thm)],[])).
% 16.00/11.21 tff(19247,plain,
% 16.00/11.21 (v124(constB133, 1)),
% 16.00/11.21 inference(unit_resolution,[status(thm)],[19246, 19119])).
% 16.00/11.21 tff(19248,plain,
% 16.00/11.21 (((~v121(constB133, 1)) <=> v124(constB133, 1)) | v121(constB133, 1) | (~v124(constB133, 1))),
% 16.00/11.21 inference(tautology,[status(thm)],[])).
% 16.00/11.21 tff(19249,plain,
% 16.00/11.21 (v121(constB133, 1)),
% 16.00/11.21 inference(unit_resolution,[status(thm)],[19248, 19247, 19245])).
% 16.00/11.21 tff(19250,plain,
% 16.00/11.21 (((~v123(constB134, 1)) <=> v121(constB133, 1)) | v123(constB134, 1) | (~v121(constB133, 1))),
% 16.00/11.21 inference(tautology,[status(thm)],[])).
% 16.00/11.21 tff(19251,plain,
% 16.00/11.21 (v123(constB134, 1)),
% 16.00/11.21 inference(unit_resolution,[status(thm)],[19250, 19249, 19243])).
% 16.00/11.21 tff(19252,plain,
% 16.00/11.21 ((((~v84(constB134, 0)) <=> v123(constB134, 0)) | ((~v84(constB134, 2)) <=> v123(constB134, 2)) | ((~v84(constB134, 1)) <=> v123(constB134, 1))) | (~((~v84(constB134, 1)) <=> v123(constB134, 1)))),
% 16.00/11.21 inference(tautology,[status(thm)],[])).
% 16.00/11.21 tff(19253,plain,
% 16.00/11.21 (~((~v84(constB134, 1)) <=> v123(constB134, 1))),
% 16.00/11.21 inference(unit_resolution,[status(thm)],[19252, 19211])).
% 16.00/11.21 tff(19254,plain,
% 16.00/11.21 (((~v84(constB134, 1)) <=> v123(constB134, 1)) | v84(constB134, 1) | (~v123(constB134, 1))),
% 16.00/11.21 inference(tautology,[status(thm)],[])).
% 16.00/11.21 tff(19255,plain,
% 16.00/11.21 (v84(constB134, 1)),
% 16.00/11.21 inference(unit_resolution,[status(thm)],[19254, 19253, 19251])).
% 16.00/11.21 tff(19256,plain,
% 16.00/11.21 (((~v84(constB135, 1)) <=> v84(constB134, 1)) | v84(constB135, 1) | (~v84(constB134, 1))),
% 16.00/11.21 inference(tautology,[status(thm)],[])).
% 16.00/11.21 tff(19257,plain,
% 16.00/11.21 (v84(constB135, 1)),
% 16.00/11.21 inference(unit_resolution,[status(thm)],[19256, 19255, 19241])).
% 16.00/11.21 tff(19258,plain,
% 16.00/11.21 ((v84(constB135, 1) | v84(constB135, 0) | (~v84(constB135, 2))) | (~v84(constB135, 1))),
% 16.00/11.21 inference(tautology,[status(thm)],[])).
% 16.00/11.21 tff(19259,plain,
% 16.00/11.21 (v84(constB135, 1) | v84(constB135, 0) | (~v84(constB135, 2))),
% 16.00/11.21 inference(unit_resolution,[status(thm)],[19258, 19257])).
% 16.00/11.21 tff(19260,plain,
% 16.00/11.21 ((~(v117(constB135) <=> (~(v84(constB135, 1) | v84(constB135, 0) | (~v84(constB135, 2)))))) | (~v117(constB135)) | (~(v84(constB135, 1) | v84(constB135, 0) | (~v84(constB135, 2))))),
% 16.00/11.21 inference(tautology,[status(thm)],[])).
% 16.00/11.21 tff(19261,plain,
% 16.00/11.21 (~v117(constB135)),
% 16.00/11.21 inference(unit_resolution,[status(thm)],[19260, 19259, 19239])).
% 16.00/11.21 tff(19262,plain,
% 16.00/11.21 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB135) <=> (~(v84(constB135, 2) | (~v84(constB135, 1)) | (~v84(constB135, 0)))))),
% 16.00/11.21 inference(quant_inst,[status(thm)],[])).
% 16.00/11.21 tff(19263,plain,
% 16.00/11.21 (v116(constB135) <=> (~(v84(constB135, 2) | (~v84(constB135, 1)) | (~v84(constB135, 0))))),
% 16.00/11.21 inference(unit_resolution,[status(thm)],[19262, 911])).
% 16.00/11.21 tff(19264,plain,
% 16.00/11.21 ((v84(constB135, 2) | (~v84(constB135, 1)) | (~v84(constB135, 0))) | v84(constB135, 0)),
% 16.00/11.21 inference(tautology,[status(thm)],[])).
% 16.00/11.21 tff(19265,plain,
% 16.00/11.21 (v84(constB135, 2) | (~v84(constB135, 1)) | (~v84(constB135, 0))),
% 16.00/11.21 inference(unit_resolution,[status(thm)],[19264, 19217])).
% 16.00/11.21 tff(19266,plain,
% 16.00/11.21 ((~(v116(constB135) <=> (~(v84(constB135, 2) | (~v84(constB135, 1)) | (~v84(constB135, 0)))))) | (~v116(constB135)) | (~(v84(constB135, 2) | (~v84(constB135, 1)) | (~v84(constB135, 0))))),
% 16.00/11.21 inference(tautology,[status(thm)],[])).
% 16.00/11.21 tff(19267,plain,
% 16.00/11.21 (~v116(constB135)),
% 16.00/11.21 inference(unit_resolution,[status(thm)],[19266, 19265, 19263])).
% 16.00/11.21 tff(19268,plain,
% 16.00/11.21 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB135) <=> (~(v84(constB135, 2) | v84(constB135, 0) | (~v84(constB135, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB135) <=> (~(v84(constB135, 2) | v84(constB135, 0) | (~v84(constB135, 1))))))),
% 16.00/11.21 inference(rewrite,[status(thm)],[])).
% 16.00/11.21 tff(19269,plain,
% 16.00/11.21 ((v115(constB135) <=> (~(v84(constB135, 0) | v84(constB135, 2) | (~v84(constB135, 1))))) <=> (v115(constB135) <=> (~(v84(constB135, 2) | v84(constB135, 0) | (~v84(constB135, 1)))))),
% 16.00/11.21 inference(rewrite,[status(thm)],[])).
% 16.00/11.21 tff(19270,plain,
% 16.00/11.21 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB135) <=> (~(v84(constB135, 0) | v84(constB135, 2) | (~v84(constB135, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB135) <=> (~(v84(constB135, 2) | v84(constB135, 0) | (~v84(constB135, 1))))))),
% 16.00/11.21 inference(monotonicity,[status(thm)],[19269])).
% 16.00/11.21 tff(19271,plain,
% 16.00/11.21 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB135) <=> (~(v84(constB135, 0) | v84(constB135, 2) | (~v84(constB135, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB135) <=> (~(v84(constB135, 2) | v84(constB135, 0) | (~v84(constB135, 1))))))),
% 16.00/11.21 inference(transitivity,[status(thm)],[19270, 19268])).
% 16.00/11.21 tff(19272,plain,
% 16.00/11.21 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB135) <=> (~(v84(constB135, 0) | v84(constB135, 2) | (~v84(constB135, 1)))))),
% 16.00/11.21 inference(quant_inst,[status(thm)],[])).
% 16.00/11.21 tff(19273,plain,
% 16.00/11.21 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB135) <=> (~(v84(constB135, 2) | v84(constB135, 0) | (~v84(constB135, 1)))))),
% 16.00/11.21 inference(modus_ponens,[status(thm)],[19272, 19271])).
% 16.00/11.21 tff(19274,plain,
% 16.00/11.21 (v115(constB135) <=> (~(v84(constB135, 2) | v84(constB135, 0) | (~v84(constB135, 1))))),
% 16.00/11.21 inference(unit_resolution,[status(thm)],[19273, 985])).
% 16.00/11.21 tff(19275,plain,
% 16.08/11.21 ((((~v84(constB135, 1)) <=> v84(constB134, 1)) | ((~v84(constB135, 2)) <=> v84(constB134, 2)) | ((~v84(constB135, 0)) <=> v84(constB134, 0))) | (~((~v84(constB135, 2)) <=> v84(constB134, 2)))),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19276,plain,
% 16.08/11.21 (~((~v84(constB135, 2)) <=> v84(constB134, 2))),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19275, 15538])).
% 16.08/11.21 tff(19277,plain,
% 16.08/11.21 ((((~v123(constB134, 2)) <=> v121(constB133, 2)) | ((~v123(constB134, 1)) <=> v121(constB133, 1)) | ((~v123(constB134, 0)) <=> v121(constB133, 0))) | (~((~v123(constB134, 2)) <=> v121(constB133, 2)))),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19278,plain,
% 16.08/11.21 (~((~v123(constB134, 2)) <=> v121(constB133, 2))),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19277, 15547])).
% 16.08/11.21 tff(19279,plain,
% 16.08/11.21 ((((~v121(constB133, 2)) <=> v124(constB133, 2)) | ((~v121(constB133, 0)) <=> v124(constB133, 0)) | ((~v121(constB133, 1)) <=> v124(constB133, 1))) | (~((~v121(constB133, 2)) <=> v124(constB133, 2)))),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19280,plain,
% 16.08/11.21 (~((~v121(constB133, 2)) <=> v124(constB133, 2))),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19279, 15561])).
% 16.08/11.21 tff(19281,plain,
% 16.08/11.21 ((v124(constB133, 0) | (~v124(constB133, 2)) | (~v124(constB133, 1))) | v124(constB133, 2)),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19282,plain,
% 16.08/11.21 (v124(constB133, 2)),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19281, 19119])).
% 16.08/11.21 tff(19283,plain,
% 16.08/11.21 (((~v121(constB133, 2)) <=> v124(constB133, 2)) | v121(constB133, 2) | (~v124(constB133, 2))),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19284,plain,
% 16.08/11.21 (v121(constB133, 2)),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19283, 19282, 19280])).
% 16.08/11.21 tff(19285,plain,
% 16.08/11.21 (((~v123(constB134, 2)) <=> v121(constB133, 2)) | v123(constB134, 2) | (~v121(constB133, 2))),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19286,plain,
% 16.08/11.21 (v123(constB134, 2)),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19285, 19284, 19278])).
% 16.08/11.21 tff(19287,plain,
% 16.08/11.21 ((((~v84(constB134, 0)) <=> v123(constB134, 0)) | ((~v84(constB134, 2)) <=> v123(constB134, 2)) | ((~v84(constB134, 1)) <=> v123(constB134, 1))) | (~((~v84(constB134, 2)) <=> v123(constB134, 2)))),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19288,plain,
% 16.08/11.21 (~((~v84(constB134, 2)) <=> v123(constB134, 2))),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19287, 19211])).
% 16.08/11.21 tff(19289,plain,
% 16.08/11.21 (((~v84(constB134, 2)) <=> v123(constB134, 2)) | v84(constB134, 2) | (~v123(constB134, 2))),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19290,plain,
% 16.08/11.21 (v84(constB134, 2)),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19289, 19288, 19286])).
% 16.08/11.21 tff(19291,plain,
% 16.08/11.21 (((~v84(constB135, 2)) <=> v84(constB134, 2)) | v84(constB135, 2) | (~v84(constB134, 2))),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19292,plain,
% 16.08/11.21 (v84(constB135, 2)),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19291, 19290, 19276])).
% 16.08/11.21 tff(19293,plain,
% 16.08/11.21 ((v84(constB135, 2) | v84(constB135, 0) | (~v84(constB135, 1))) | (~v84(constB135, 2))),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19294,plain,
% 16.08/11.21 (v84(constB135, 2) | v84(constB135, 0) | (~v84(constB135, 1))),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19293, 19292])).
% 16.08/11.21 tff(19295,plain,
% 16.08/11.21 ((~(v115(constB135) <=> (~(v84(constB135, 2) | v84(constB135, 0) | (~v84(constB135, 1)))))) | (~v115(constB135)) | (~(v84(constB135, 2) | v84(constB135, 0) | (~v84(constB135, 1))))),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19296,plain,
% 16.08/11.21 (~v115(constB135)),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19295, 19294, 19274])).
% 16.08/11.21 tff(19297,plain,
% 16.08/11.21 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB135) <=> (~(v84(constB135, 0) | v84(constB135, 1) | v84(constB135, 2))))),
% 16.08/11.21 inference(quant_inst,[status(thm)],[])).
% 16.08/11.21 tff(19298,plain,
% 16.08/11.21 (v113(constB135) <=> (~(v84(constB135, 0) | v84(constB135, 1) | v84(constB135, 2)))),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19297, 1466])).
% 16.08/11.21 tff(19299,plain,
% 16.08/11.21 ((v84(constB135, 0) | v84(constB135, 1) | v84(constB135, 2)) | (~v84(constB135, 2))),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19300,plain,
% 16.08/11.21 (v84(constB135, 0) | v84(constB135, 1) | v84(constB135, 2)),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19299, 19292])).
% 16.08/11.21 tff(19301,plain,
% 16.08/11.21 ((~(v113(constB135) <=> (~(v84(constB135, 0) | v84(constB135, 1) | v84(constB135, 2))))) | (~v113(constB135)) | (~(v84(constB135, 0) | v84(constB135, 1) | v84(constB135, 2)))),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19302,plain,
% 16.08/11.21 (~v113(constB135)),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19301, 19300, 19298])).
% 16.08/11.21 tff(19303,plain,
% 16.08/11.21 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB135) | v114(constB135) | v115(constB135) | v116(constB135) | v117(constB135) | v118(constB135) | (~(v124(constB135, 2) | v124(constB135, 1) | (~v124(constB135, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB135) | v114(constB135) | v115(constB135) | v116(constB135) | v117(constB135) | v118(constB135) | (~(v124(constB135, 2) | v124(constB135, 1) | (~v124(constB135, 0)))))),
% 16.08/11.21 inference(rewrite,[status(thm)],[])).
% 16.08/11.21 tff(19304,plain,
% 16.08/11.21 ((v118(constB135) | v117(constB135) | v116(constB135) | v115(constB135) | v114(constB135) | v113(constB135) | (~(v124(constB135, 2) | v124(constB135, 1) | (~v124(constB135, 0))))) <=> (v113(constB135) | v114(constB135) | v115(constB135) | v116(constB135) | v117(constB135) | v118(constB135) | (~(v124(constB135, 2) | v124(constB135, 1) | (~v124(constB135, 0)))))),
% 16.08/11.21 inference(rewrite,[status(thm)],[])).
% 16.08/11.21 tff(19305,plain,
% 16.08/11.21 ((~(v124(constB135, 1) | v124(constB135, 2) | (~v124(constB135, 0)))) <=> (~(v124(constB135, 2) | v124(constB135, 1) | (~v124(constB135, 0))))),
% 16.08/11.21 inference(rewrite,[status(thm)],[])).
% 16.08/11.21 tff(19306,plain,
% 16.08/11.21 ((v118(constB135) | v117(constB135) | v116(constB135) | v115(constB135) | v114(constB135) | v113(constB135) | (~(v124(constB135, 1) | v124(constB135, 2) | (~v124(constB135, 0))))) <=> (v118(constB135) | v117(constB135) | v116(constB135) | v115(constB135) | v114(constB135) | v113(constB135) | (~(v124(constB135, 2) | v124(constB135, 1) | (~v124(constB135, 0)))))),
% 16.08/11.21 inference(monotonicity,[status(thm)],[19305])).
% 16.08/11.21 tff(19307,plain,
% 16.08/11.21 ((v118(constB135) | v117(constB135) | v116(constB135) | v115(constB135) | v114(constB135) | v113(constB135) | (~(v124(constB135, 1) | v124(constB135, 2) | (~v124(constB135, 0))))) <=> (v113(constB135) | v114(constB135) | v115(constB135) | v116(constB135) | v117(constB135) | v118(constB135) | (~(v124(constB135, 2) | v124(constB135, 1) | (~v124(constB135, 0)))))),
% 16.08/11.21 inference(transitivity,[status(thm)],[19306, 19304])).
% 16.08/11.21 tff(19308,plain,
% 16.08/11.21 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB135) | v117(constB135) | v116(constB135) | v115(constB135) | v114(constB135) | v113(constB135) | (~(v124(constB135, 1) | v124(constB135, 2) | (~v124(constB135, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB135) | v114(constB135) | v115(constB135) | v116(constB135) | v117(constB135) | v118(constB135) | (~(v124(constB135, 2) | v124(constB135, 1) | (~v124(constB135, 0))))))),
% 16.08/11.21 inference(monotonicity,[status(thm)],[19307])).
% 16.08/11.21 tff(19309,plain,
% 16.08/11.21 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB135) | v117(constB135) | v116(constB135) | v115(constB135) | v114(constB135) | v113(constB135) | (~(v124(constB135, 1) | v124(constB135, 2) | (~v124(constB135, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB135) | v114(constB135) | v115(constB135) | v116(constB135) | v117(constB135) | v118(constB135) | (~(v124(constB135, 2) | v124(constB135, 1) | (~v124(constB135, 0)))))),
% 16.08/11.21 inference(transitivity,[status(thm)],[19308, 19303])).
% 16.08/11.21 tff(19310,plain,
% 16.08/11.21 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB135) | v117(constB135) | v116(constB135) | v115(constB135) | v114(constB135) | v113(constB135) | (~(v124(constB135, 1) | v124(constB135, 2) | (~v124(constB135, 0)))))),
% 16.08/11.21 inference(quant_inst,[status(thm)],[])).
% 16.08/11.21 tff(19311,plain,
% 16.08/11.21 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB135) | v114(constB135) | v115(constB135) | v116(constB135) | v117(constB135) | v118(constB135) | (~(v124(constB135, 2) | v124(constB135, 1) | (~v124(constB135, 0))))),
% 16.08/11.21 inference(modus_ponens,[status(thm)],[19310, 19309])).
% 16.08/11.21 tff(19312,plain,
% 16.08/11.21 (v113(constB135) | v114(constB135) | v115(constB135) | v116(constB135) | v117(constB135) | v118(constB135) | (~(v124(constB135, 2) | v124(constB135, 1) | (~v124(constB135, 0))))),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19311, 2777])).
% 16.08/11.21 tff(19313,plain,
% 16.08/11.21 (~(v124(constB135, 2) | v124(constB135, 1) | (~v124(constB135, 0)))),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19312, 19302, 19296, 19267, 19261, 19232, 19221])).
% 16.08/11.21 tff(19314,plain,
% 16.08/11.21 ((v124(constB135, 2) | v124(constB135, 1) | (~v124(constB135, 0))) | (~v124(constB135, 2))),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19315,plain,
% 16.08/11.21 (~v124(constB135, 2)),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19314, 19313])).
% 16.08/11.21 tff(19316,plain,
% 16.08/11.21 (((~v121(constB135, 2)) <=> v124(constB135, 2)) | (~v121(constB135, 2)) | v124(constB135, 2)),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19317,plain,
% 16.08/11.21 (~v121(constB135, 2)),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19316, 19315, 15502])).
% 16.08/11.21 tff(19318,plain,
% 16.08/11.21 (((~v123(constB136, 2)) <=> v121(constB135, 2)) | (~v123(constB136, 2)) | v121(constB135, 2)),
% 16.08/11.21 inference(tautology,[status(thm)],[])).
% 16.08/11.21 tff(19319,plain,
% 16.08/11.21 (~v123(constB136, 2)),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19318, 19317, 15488])).
% 16.08/11.21 tff(19320,plain,
% 16.08/11.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB135, constB136)) | (v94(constB136) <=> (~((~v95(constB136)) | (~v104(constB136))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB135, constB136)) | (v94(constB136) <=> (~((~v95(constB136)) | (~v104(constB136))))))),
% 16.08/11.21 inference(rewrite,[status(thm)],[])).
% 16.08/11.21 tff(19321,plain,
% 16.08/11.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB135, constB136)) | (v94(constB136) <=> (~((~v95(constB136)) | (~v104(constB136))))))),
% 16.08/11.21 inference(quant_inst,[status(thm)],[])).
% 16.08/11.21 tff(19322,plain,
% 16.08/11.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB135, constB136)) | (v94(constB136) <=> (~((~v95(constB136)) | (~v104(constB136)))))),
% 16.08/11.21 inference(modus_ponens,[status(thm)],[19321, 19320])).
% 16.08/11.21 tff(19323,plain,
% 16.08/11.21 (v94(constB136) <=> (~((~v95(constB136)) | (~v104(constB136))))),
% 16.08/11.21 inference(unit_resolution,[status(thm)],[19322, 15482, 770])).
% 16.08/11.21 tff(19324,plain,
% 16.08/11.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136))))))),
% 16.08/11.22 inference(rewrite,[status(thm)],[])).
% 16.08/11.22 tff(19325,plain,
% 16.08/11.22 (((~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v96(constB136)) | (~v1(constB136)))))) <=> ((~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136))))))),
% 16.08/11.22 inference(rewrite,[status(thm)],[])).
% 16.08/11.22 tff(19326,plain,
% 16.08/11.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v96(constB136)) | (~v1(constB136))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136)))))))),
% 16.08/11.22 inference(monotonicity,[status(thm)],[19325])).
% 16.08/11.22 tff(19327,plain,
% 16.08/11.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v96(constB136)) | (~v1(constB136))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136))))))),
% 16.08/11.22 inference(transitivity,[status(thm)],[19326, 19324])).
% 16.08/11.22 tff(19328,plain,
% 16.08/11.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v96(constB136)) | (~v1(constB136))))))),
% 16.08/11.22 inference(quant_inst,[status(thm)],[])).
% 16.08/11.22 tff(19329,plain,
% 16.08/11.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136)))))),
% 16.08/11.22 inference(modus_ponens,[status(thm)],[19328, 19327])).
% 16.08/11.22 tff(19330,plain,
% 16.08/11.22 (v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136))))),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19329, 15482, 790])).
% 16.08/11.22 tff(19331,plain,
% 16.08/11.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB135, constB136)) | ((~v96(constB136)) <=> v98(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB135, constB136)) | ((~v96(constB136)) <=> v98(constB136)))),
% 16.08/11.22 inference(rewrite,[status(thm)],[])).
% 16.08/11.22 tff(19332,plain,
% 16.08/11.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB135, constB136)) | ((~v96(constB136)) <=> v98(constB136)))),
% 16.08/11.22 inference(quant_inst,[status(thm)],[])).
% 16.08/11.22 tff(19333,plain,
% 16.08/11.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB135, constB136)) | ((~v96(constB136)) <=> v98(constB136))),
% 16.08/11.22 inference(modus_ponens,[status(thm)],[19332, 19331])).
% 16.08/11.22 tff(19334,plain,
% 16.08/11.22 ((~v96(constB136)) <=> v98(constB136)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19333, 15482, 2332])).
% 16.08/11.22 tff(19335,plain,
% 16.08/11.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB135, constB136)) | (v98(constB136) <=> v1(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB135, constB136)) | (v98(constB136) <=> v1(constB135)))),
% 16.08/11.22 inference(rewrite,[status(thm)],[])).
% 16.08/11.22 tff(19336,plain,
% 16.08/11.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB135, constB136)) | (v98(constB136) <=> v1(constB135)))),
% 16.08/11.22 inference(quant_inst,[status(thm)],[])).
% 16.08/11.22 tff(19337,plain,
% 16.08/11.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB135, constB136)) | (v98(constB136) <=> v1(constB135))),
% 16.08/11.22 inference(modus_ponens,[status(thm)],[19336, 19335])).
% 16.08/11.22 tff(19338,plain,
% 16.08/11.22 (v98(constB136) <=> v1(constB135)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19337, 15482, 2346])).
% 16.08/11.22 tff(19339,plain,
% 16.08/11.22 ((~(v98(constB136) <=> v1(constB135))) | (~v98(constB136)) | v1(constB135)),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19340,plain,
% 16.08/11.22 ((~(v98(constB136) <=> v1(constB135))) | (~v98(constB136))),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19339, 15521])).
% 16.08/11.22 tff(19341,plain,
% 16.08/11.22 (~v98(constB136)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19340, 19338])).
% 16.08/11.22 tff(19342,plain,
% 16.08/11.22 ((~((~v96(constB136)) <=> v98(constB136))) | v96(constB136) | v98(constB136)),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19343,plain,
% 16.08/11.22 (v96(constB136)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19342, 19341, 19334])).
% 16.08/11.22 tff(19344,plain,
% 16.08/11.22 (v1(constB136) <=> v1(constB136)),
% 16.08/11.22 inference(rewrite,[status(thm)],[])).
% 16.08/11.22 tff(19345,axiom,(v1(constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_136')).
% 16.08/11.22 tff(19346,plain,
% 16.08/11.22 (v1(constB136)),
% 16.08/11.22 inference(modus_ponens,[status(thm)],[19345, 19344])).
% 16.08/11.22 tff(19347,plain,
% 16.08/11.22 ((~((~v1(constB136)) | (~v96(constB136)))) | (~v1(constB136)) | (~v96(constB136))),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19348,plain,
% 16.08/11.22 ((~((~v1(constB136)) | (~v96(constB136)))) | (~v96(constB136))),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19347, 19346])).
% 16.08/11.22 tff(19349,plain,
% 16.08/11.22 (~((~v1(constB136)) | (~v96(constB136)))),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19348, 19343])).
% 16.08/11.22 tff(19350,plain,
% 16.08/11.22 ((~(v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136)))))) | v95(constB136) | ((~v1(constB136)) | (~v96(constB136)))),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19351,plain,
% 16.08/11.22 (v95(constB136)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19350, 19349, 19330])).
% 16.08/11.22 tff(19352,plain,
% 16.08/11.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB135, constB136)) | (v104(constB136) <=> v102(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB135, constB136)) | (v104(constB136) <=> v102(constB135)))),
% 16.08/11.22 inference(rewrite,[status(thm)],[])).
% 16.08/11.22 tff(19353,plain,
% 16.08/11.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB135, constB136)) | (v104(constB136) <=> v102(constB135)))),
% 16.08/11.22 inference(quant_inst,[status(thm)],[])).
% 16.08/11.22 tff(19354,plain,
% 16.08/11.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB135, constB136)) | (v104(constB136) <=> v102(constB135))),
% 16.08/11.22 inference(modus_ponens,[status(thm)],[19353, 19352])).
% 16.08/11.22 tff(19355,plain,
% 16.08/11.22 (v104(constB136) <=> v102(constB135)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19354, 15482, 2373])).
% 16.08/11.22 tff(19356,plain,
% 16.08/11.22 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB135) <=> (v105(constB135) | v106(constB135)))),
% 16.08/11.22 inference(quant_inst,[status(thm)],[])).
% 16.08/11.22 tff(19357,plain,
% 16.08/11.22 (v102(constB135) <=> (v105(constB135) | v106(constB135))),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19356, 2384])).
% 16.08/11.22 tff(19358,plain,
% 16.08/11.22 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB135) <=> (~((~v107(constB135)) | (~v120(constB135)))))),
% 16.08/11.22 inference(quant_inst,[status(thm)],[])).
% 16.08/11.22 tff(19359,plain,
% 16.08/11.22 (v106(constB135) <=> (~((~v107(constB135)) | (~v120(constB135))))),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19358, 2396])).
% 16.08/11.22 tff(19360,plain,
% 16.08/11.22 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB135) <=> (v108(constB135) | v119(constB135)))),
% 16.08/11.22 inference(quant_inst,[status(thm)],[])).
% 16.08/11.22 tff(19361,plain,
% 16.08/11.22 (v107(constB135) <=> (v108(constB135) | v119(constB135))),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19360, 2405])).
% 16.08/11.22 tff(19362,plain,
% 16.08/11.22 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB135) <=> (~(v84(constB135, 0) | (~v84(constB135, 1)) | (~v84(constB135, 2)))))),
% 16.08/11.22 inference(quant_inst,[status(thm)],[])).
% 16.08/11.22 tff(19363,plain,
% 16.08/11.22 (v119(constB135) <=> (~(v84(constB135, 0) | (~v84(constB135, 1)) | (~v84(constB135, 2))))),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19362, 2849])).
% 16.08/11.22 tff(19364,plain,
% 16.08/11.22 ((~(v84(constB135, 0) | (~v84(constB135, 1)) | (~v84(constB135, 2)))) | v84(constB135, 0) | (~v84(constB135, 1)) | (~v84(constB135, 2))),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19365,plain,
% 16.08/11.22 (~(v84(constB135, 0) | (~v84(constB135, 1)) | (~v84(constB135, 2)))),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19364, 19257, 19217, 19292])).
% 16.08/11.22 tff(19366,plain,
% 16.08/11.22 ((~(v119(constB135) <=> (~(v84(constB135, 0) | (~v84(constB135, 1)) | (~v84(constB135, 2)))))) | v119(constB135) | (v84(constB135, 0) | (~v84(constB135, 1)) | (~v84(constB135, 2)))),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19367,plain,
% 16.08/11.22 (v119(constB135)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19366, 19365, 19363])).
% 16.08/11.22 tff(19368,plain,
% 16.08/11.22 ((v108(constB135) | v119(constB135)) | (~v119(constB135))),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19369,plain,
% 16.08/11.22 (v108(constB135) | v119(constB135)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19368, 19367])).
% 16.08/11.22 tff(19370,plain,
% 16.08/11.22 ((~(v107(constB135) <=> (v108(constB135) | v119(constB135)))) | v107(constB135) | (~(v108(constB135) | v119(constB135)))),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19371,plain,
% 16.08/11.22 (v107(constB135)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19370, 19369, 19361])).
% 16.08/11.22 tff(19372,plain,
% 16.08/11.22 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB135)) <=> v105(constB135))),
% 16.08/11.22 inference(quant_inst,[status(thm)],[])).
% 16.08/11.22 tff(19373,plain,
% 16.08/11.22 ((~v120(constB135)) <=> v105(constB135)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19372, 2484])).
% 16.08/11.22 tff(19374,plain,
% 16.08/11.22 ((~((~v120(constB135)) <=> v105(constB135))) | v120(constB135) | v105(constB135)),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19375,plain,
% 16.08/11.22 ((~((~v120(constB135)) <=> v105(constB135))) | v120(constB135)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19374, 15495])).
% 16.08/11.22 tff(19376,plain,
% 16.08/11.22 (v120(constB135)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19375, 19373])).
% 16.08/11.22 tff(19377,plain,
% 16.08/11.22 ((~((~v107(constB135)) | (~v120(constB135)))) | (~v107(constB135)) | (~v120(constB135))),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19378,plain,
% 16.08/11.22 ((~((~v107(constB135)) | (~v120(constB135)))) | (~v107(constB135))),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19377, 19376])).
% 16.08/11.22 tff(19379,plain,
% 16.08/11.22 (~((~v107(constB135)) | (~v120(constB135)))),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19378, 19371])).
% 16.08/11.22 tff(19380,plain,
% 16.08/11.22 ((~(v106(constB135) <=> (~((~v107(constB135)) | (~v120(constB135)))))) | v106(constB135) | ((~v107(constB135)) | (~v120(constB135)))),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19381,plain,
% 16.08/11.22 (v106(constB135)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19380, 19379, 19359])).
% 16.08/11.22 tff(19382,plain,
% 16.08/11.22 ((v105(constB135) | v106(constB135)) | (~v106(constB135))),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19383,plain,
% 16.08/11.22 (v105(constB135) | v106(constB135)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19382, 19381])).
% 16.08/11.22 tff(19384,plain,
% 16.08/11.22 ((~(v102(constB135) <=> (v105(constB135) | v106(constB135)))) | v102(constB135) | (~(v105(constB135) | v106(constB135)))),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19385,plain,
% 16.08/11.22 (v102(constB135)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19384, 19383, 19357])).
% 16.08/11.22 tff(19386,plain,
% 16.08/11.22 ((~(v104(constB136) <=> v102(constB135))) | v104(constB136) | (~v102(constB135))),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19387,plain,
% 16.08/11.22 (v104(constB136)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19386, 19385, 19355])).
% 16.08/11.22 tff(19388,plain,
% 16.08/11.22 ((~((~v95(constB136)) | (~v104(constB136)))) | (~v95(constB136)) | (~v104(constB136))),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19389,plain,
% 16.08/11.22 (~((~v95(constB136)) | (~v104(constB136)))),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19388, 19387, 19351])).
% 16.08/11.22 tff(19390,plain,
% 16.08/11.22 ((~(v94(constB136) <=> (~((~v95(constB136)) | (~v104(constB136)))))) | v94(constB136) | ((~v95(constB136)) | (~v104(constB136)))),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19391,plain,
% 16.08/11.22 (v94(constB136)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19390, 19389, 19323])).
% 16.08/11.22 tff(19392,plain,
% 16.08/11.22 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB136)) | (~(((~v84(constB136, 2)) <=> v123(constB136, 2)) | ((~v84(constB136, 1)) <=> v123(constB136, 1)) | ((~v84(constB136, 0)) <=> v123(constB136, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB136)) | (~(((~v84(constB136, 2)) <=> v123(constB136, 2)) | ((~v84(constB136, 1)) <=> v123(constB136, 1)) | ((~v84(constB136, 0)) <=> v123(constB136, 0)))))),
% 16.08/11.22 inference(rewrite,[status(thm)],[])).
% 16.08/11.22 tff(19393,plain,
% 16.08/11.22 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB136)) | (~(((~v84(constB136, 2)) <=> v123(constB136, 2)) | ((~v84(constB136, 1)) <=> v123(constB136, 1)) | ((~v84(constB136, 0)) <=> v123(constB136, 0)))))),
% 16.08/11.22 inference(quant_inst,[status(thm)],[])).
% 16.08/11.22 tff(19394,plain,
% 16.08/11.22 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB136)) | (~(((~v84(constB136, 2)) <=> v123(constB136, 2)) | ((~v84(constB136, 1)) <=> v123(constB136, 1)) | ((~v84(constB136, 0)) <=> v123(constB136, 0))))),
% 16.08/11.22 inference(modus_ponens,[status(thm)],[19393, 19392])).
% 16.08/11.22 tff(19395,plain,
% 16.08/11.22 ((~v94(constB136)) | (~(((~v84(constB136, 2)) <=> v123(constB136, 2)) | ((~v84(constB136, 1)) <=> v123(constB136, 1)) | ((~v84(constB136, 0)) <=> v123(constB136, 0))))),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19394, 2517])).
% 16.08/11.22 tff(19396,plain,
% 16.08/11.22 (~(((~v84(constB136, 2)) <=> v123(constB136, 2)) | ((~v84(constB136, 1)) <=> v123(constB136, 1)) | ((~v84(constB136, 0)) <=> v123(constB136, 0)))),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19395, 19391])).
% 16.08/11.22 tff(19397,plain,
% 16.08/11.22 ((((~v84(constB136, 2)) <=> v123(constB136, 2)) | ((~v84(constB136, 1)) <=> v123(constB136, 1)) | ((~v84(constB136, 0)) <=> v123(constB136, 0))) | (~((~v84(constB136, 2)) <=> v123(constB136, 2)))),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19398,plain,
% 16.08/11.22 (~((~v84(constB136, 2)) <=> v123(constB136, 2))),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19397, 19396])).
% 16.08/11.22 tff(19399,plain,
% 16.08/11.22 (((~v84(constB136, 2)) <=> v123(constB136, 2)) | (~v84(constB136, 2)) | v123(constB136, 2)),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19400,plain,
% 16.08/11.22 (~v84(constB136, 2)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19399, 19398, 19319])).
% 16.08/11.22 tff(19401,plain,
% 16.08/11.22 (((~v84(constB137, 2)) <=> v84(constB136, 2)) | (~v84(constB137, 2)) | v84(constB136, 2)),
% 16.08/11.22 inference(tautology,[status(thm)],[])).
% 16.08/11.22 tff(19402,plain,
% 16.08/11.22 (~v84(constB137, 2)),
% 16.08/11.22 inference(unit_resolution,[status(thm)],[19401, 19400, 15479])).
% 16.08/11.23 tff(19403,plain,
% 16.08/11.23 ((((~v84(constB137, 1)) <=> v84(constB136, 1)) | ((~v84(constB137, 2)) <=> v84(constB136, 2)) | ((~v84(constB137, 0)) <=> v84(constB136, 0))) | (~((~v84(constB137, 0)) <=> v84(constB136, 0)))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19404,plain,
% 16.08/11.23 (~((~v84(constB137, 0)) <=> v84(constB136, 0))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19403, 15477])).
% 16.08/11.23 tff(19405,plain,
% 16.08/11.23 ((((~v123(constB136, 2)) <=> v121(constB135, 2)) | ((~v123(constB136, 1)) <=> v121(constB135, 1)) | ((~v123(constB136, 0)) <=> v121(constB135, 0))) | (~((~v123(constB136, 0)) <=> v121(constB135, 0)))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19406,plain,
% 16.08/11.23 (~((~v123(constB136, 0)) <=> v121(constB135, 0))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19405, 15486])).
% 16.08/11.23 tff(19407,plain,
% 16.08/11.23 ((((~v121(constB135, 2)) <=> v124(constB135, 2)) | ((~v121(constB135, 0)) <=> v124(constB135, 0)) | ((~v121(constB135, 1)) <=> v124(constB135, 1))) | (~((~v121(constB135, 0)) <=> v124(constB135, 0)))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19408,plain,
% 16.08/11.23 (~((~v121(constB135, 0)) <=> v124(constB135, 0))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19407, 15500])).
% 16.08/11.23 tff(19409,plain,
% 16.08/11.23 ((v124(constB135, 2) | v124(constB135, 1) | (~v124(constB135, 0))) | v124(constB135, 0)),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19410,plain,
% 16.08/11.23 (v124(constB135, 0)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19409, 19313])).
% 16.08/11.23 tff(19411,plain,
% 16.08/11.23 (((~v121(constB135, 0)) <=> v124(constB135, 0)) | v121(constB135, 0) | (~v124(constB135, 0))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19412,plain,
% 16.08/11.23 (v121(constB135, 0)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19411, 19410, 19408])).
% 16.08/11.23 tff(19413,plain,
% 16.08/11.23 (((~v123(constB136, 0)) <=> v121(constB135, 0)) | v123(constB136, 0) | (~v121(constB135, 0))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19414,plain,
% 16.08/11.23 (v123(constB136, 0)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19413, 19412, 19406])).
% 16.08/11.23 tff(19415,plain,
% 16.08/11.23 ((((~v84(constB136, 2)) <=> v123(constB136, 2)) | ((~v84(constB136, 1)) <=> v123(constB136, 1)) | ((~v84(constB136, 0)) <=> v123(constB136, 0))) | (~((~v84(constB136, 0)) <=> v123(constB136, 0)))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19416,plain,
% 16.08/11.23 (~((~v84(constB136, 0)) <=> v123(constB136, 0))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19415, 19396])).
% 16.08/11.23 tff(19417,plain,
% 16.08/11.23 (((~v84(constB136, 0)) <=> v123(constB136, 0)) | v84(constB136, 0) | (~v123(constB136, 0))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19418,plain,
% 16.08/11.23 (v84(constB136, 0)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19417, 19416, 19414])).
% 16.08/11.23 tff(19419,plain,
% 16.08/11.23 (((~v84(constB137, 0)) <=> v84(constB136, 0)) | v84(constB137, 0) | (~v84(constB136, 0))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19420,plain,
% 16.08/11.23 (v84(constB137, 0)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19419, 19418, 19404])).
% 16.08/11.23 tff(19421,plain,
% 16.08/11.23 ((((~v84(constB137, 1)) <=> v84(constB136, 1)) | ((~v84(constB137, 2)) <=> v84(constB136, 2)) | ((~v84(constB137, 0)) <=> v84(constB136, 0))) | (~((~v84(constB137, 1)) <=> v84(constB136, 1)))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19422,plain,
% 16.08/11.23 (~((~v84(constB137, 1)) <=> v84(constB136, 1))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19421, 15477])).
% 16.08/11.23 tff(19423,plain,
% 16.08/11.23 ((((~v123(constB136, 2)) <=> v121(constB135, 2)) | ((~v123(constB136, 1)) <=> v121(constB135, 1)) | ((~v123(constB136, 0)) <=> v121(constB135, 0))) | (~((~v123(constB136, 1)) <=> v121(constB135, 1)))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19424,plain,
% 16.08/11.23 (~((~v123(constB136, 1)) <=> v121(constB135, 1))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19423, 15486])).
% 16.08/11.23 tff(19425,plain,
% 16.08/11.23 ((((~v121(constB135, 2)) <=> v124(constB135, 2)) | ((~v121(constB135, 0)) <=> v124(constB135, 0)) | ((~v121(constB135, 1)) <=> v124(constB135, 1))) | (~((~v121(constB135, 1)) <=> v124(constB135, 1)))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19426,plain,
% 16.08/11.23 (~((~v121(constB135, 1)) <=> v124(constB135, 1))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19425, 15500])).
% 16.08/11.23 tff(19427,plain,
% 16.08/11.23 ((v124(constB135, 2) | v124(constB135, 1) | (~v124(constB135, 0))) | (~v124(constB135, 1))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19428,plain,
% 16.08/11.23 (~v124(constB135, 1)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19427, 19313])).
% 16.08/11.23 tff(19429,plain,
% 16.08/11.23 (((~v121(constB135, 1)) <=> v124(constB135, 1)) | (~v121(constB135, 1)) | v124(constB135, 1)),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19430,plain,
% 16.08/11.23 (~v121(constB135, 1)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19429, 19428, 19426])).
% 16.08/11.23 tff(19431,plain,
% 16.08/11.23 (((~v123(constB136, 1)) <=> v121(constB135, 1)) | (~v123(constB136, 1)) | v121(constB135, 1)),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19432,plain,
% 16.08/11.23 (~v123(constB136, 1)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19431, 19430, 19424])).
% 16.08/11.23 tff(19433,plain,
% 16.08/11.23 ((((~v84(constB136, 2)) <=> v123(constB136, 2)) | ((~v84(constB136, 1)) <=> v123(constB136, 1)) | ((~v84(constB136, 0)) <=> v123(constB136, 0))) | (~((~v84(constB136, 1)) <=> v123(constB136, 1)))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19434,plain,
% 16.08/11.23 (~((~v84(constB136, 1)) <=> v123(constB136, 1))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19433, 19396])).
% 16.08/11.23 tff(19435,plain,
% 16.08/11.23 (((~v84(constB136, 1)) <=> v123(constB136, 1)) | (~v84(constB136, 1)) | v123(constB136, 1)),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19436,plain,
% 16.08/11.23 (~v84(constB136, 1)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19435, 19434, 19432])).
% 16.08/11.23 tff(19437,plain,
% 16.08/11.23 (((~v84(constB137, 1)) <=> v84(constB136, 1)) | (~v84(constB137, 1)) | v84(constB136, 1)),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19438,plain,
% 16.08/11.23 (~v84(constB137, 1)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19437, 19436, 19422])).
% 16.08/11.23 tff(19439,plain,
% 16.08/11.23 ((~(v84(constB137, 1) | v84(constB137, 2) | (~v84(constB137, 0)))) | v84(constB137, 1) | v84(constB137, 2) | (~v84(constB137, 0))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19440,plain,
% 16.08/11.23 (~(v84(constB137, 1) | v84(constB137, 2) | (~v84(constB137, 0)))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19439, 19438, 19420, 19402])).
% 16.08/11.23 tff(19441,plain,
% 16.08/11.23 ((~(v114(constB137) <=> (~(v84(constB137, 1) | v84(constB137, 2) | (~v84(constB137, 0)))))) | v114(constB137) | (v84(constB137, 1) | v84(constB137, 2) | (~v84(constB137, 0)))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19442,plain,
% 16.08/11.23 (v114(constB137)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19441, 19440, 15443])).
% 16.08/11.23 tff(19443,plain,
% 16.08/11.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB137)) | (~(v124(constB137, 2) | v124(constB137, 0) | (~v124(constB137, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB137)) | (~(v124(constB137, 2) | v124(constB137, 0) | (~v124(constB137, 1)))))),
% 16.08/11.23 inference(rewrite,[status(thm)],[])).
% 16.08/11.23 tff(19444,plain,
% 16.08/11.23 (((~v114(constB137)) | (~(v124(constB137, 0) | v124(constB137, 2) | (~v124(constB137, 1))))) <=> ((~v114(constB137)) | (~(v124(constB137, 2) | v124(constB137, 0) | (~v124(constB137, 1)))))),
% 16.08/11.23 inference(rewrite,[status(thm)],[])).
% 16.08/11.23 tff(19445,plain,
% 16.08/11.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB137)) | (~(v124(constB137, 0) | v124(constB137, 2) | (~v124(constB137, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB137)) | (~(v124(constB137, 2) | v124(constB137, 0) | (~v124(constB137, 1))))))),
% 16.08/11.23 inference(monotonicity,[status(thm)],[19444])).
% 16.08/11.23 tff(19446,plain,
% 16.08/11.23 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB137)) | (~(v124(constB137, 0) | v124(constB137, 2) | (~v124(constB137, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB137)) | (~(v124(constB137, 2) | v124(constB137, 0) | (~v124(constB137, 1)))))),
% 16.08/11.23 inference(transitivity,[status(thm)],[19445, 19443])).
% 16.08/11.23 tff(19447,plain,
% 16.08/11.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB137)) | (~(v124(constB137, 0) | v124(constB137, 2) | (~v124(constB137, 1)))))),
% 16.08/11.23 inference(quant_inst,[status(thm)],[])).
% 16.08/11.23 tff(19448,plain,
% 16.08/11.23 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB137)) | (~(v124(constB137, 2) | v124(constB137, 0) | (~v124(constB137, 1))))),
% 16.08/11.23 inference(modus_ponens,[status(thm)],[19447, 19446])).
% 16.08/11.23 tff(19449,plain,
% 16.08/11.23 ((~v114(constB137)) | (~(v124(constB137, 2) | v124(constB137, 0) | (~v124(constB137, 1))))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19448, 2964])).
% 16.08/11.23 tff(19450,plain,
% 16.08/11.23 (~(v124(constB137, 2) | v124(constB137, 0) | (~v124(constB137, 1)))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19449, 19442])).
% 16.08/11.23 tff(19451,plain,
% 16.08/11.23 ((v124(constB137, 2) | v124(constB137, 0) | (~v124(constB137, 1))) | (~v124(constB137, 2))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19452,plain,
% 16.08/11.23 (~v124(constB137, 2)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19451, 19450])).
% 16.08/11.23 tff(19453,plain,
% 16.08/11.23 (((~v121(constB137, 2)) <=> v124(constB137, 2)) | (~v121(constB137, 2)) | v124(constB137, 2)),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19454,plain,
% 16.08/11.23 (~v121(constB137, 2)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19453, 19452, 15441])).
% 16.08/11.23 tff(19455,plain,
% 16.08/11.23 (((~v123(constB138, 2)) <=> v121(constB137, 2)) | (~v123(constB138, 2)) | v121(constB137, 2)),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19456,plain,
% 16.08/11.23 (~v123(constB138, 2)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19455, 19454, 15427])).
% 16.08/11.23 tff(19457,plain,
% 16.08/11.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB137, constB138)) | (v94(constB138) <=> (~((~v95(constB138)) | (~v104(constB138))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB137, constB138)) | (v94(constB138) <=> (~((~v95(constB138)) | (~v104(constB138))))))),
% 16.08/11.23 inference(rewrite,[status(thm)],[])).
% 16.08/11.23 tff(19458,plain,
% 16.08/11.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB137, constB138)) | (v94(constB138) <=> (~((~v95(constB138)) | (~v104(constB138))))))),
% 16.08/11.23 inference(quant_inst,[status(thm)],[])).
% 16.08/11.23 tff(19459,plain,
% 16.08/11.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB137, constB138)) | (v94(constB138) <=> (~((~v95(constB138)) | (~v104(constB138)))))),
% 16.08/11.23 inference(modus_ponens,[status(thm)],[19458, 19457])).
% 16.08/11.23 tff(19460,plain,
% 16.08/11.23 (v94(constB138) <=> (~((~v95(constB138)) | (~v104(constB138))))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19459, 15421, 770])).
% 16.08/11.23 tff(19461,plain,
% 16.08/11.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138))))))),
% 16.08/11.23 inference(rewrite,[status(thm)],[])).
% 16.08/11.23 tff(19462,plain,
% 16.08/11.23 (((~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v96(constB138)) | (~v1(constB138)))))) <=> ((~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138))))))),
% 16.08/11.23 inference(rewrite,[status(thm)],[])).
% 16.08/11.23 tff(19463,plain,
% 16.08/11.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v96(constB138)) | (~v1(constB138))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138)))))))),
% 16.08/11.23 inference(monotonicity,[status(thm)],[19462])).
% 16.08/11.23 tff(19464,plain,
% 16.08/11.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v96(constB138)) | (~v1(constB138))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138))))))),
% 16.08/11.23 inference(transitivity,[status(thm)],[19463, 19461])).
% 16.08/11.23 tff(19465,plain,
% 16.08/11.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v96(constB138)) | (~v1(constB138))))))),
% 16.08/11.23 inference(quant_inst,[status(thm)],[])).
% 16.08/11.23 tff(19466,plain,
% 16.08/11.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138)))))),
% 16.08/11.23 inference(modus_ponens,[status(thm)],[19465, 19464])).
% 16.08/11.23 tff(19467,plain,
% 16.08/11.23 (v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138))))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19466, 15421, 790])).
% 16.08/11.23 tff(19468,plain,
% 16.08/11.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB137, constB138)) | ((~v96(constB138)) <=> v98(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB137, constB138)) | ((~v96(constB138)) <=> v98(constB138)))),
% 16.08/11.23 inference(rewrite,[status(thm)],[])).
% 16.08/11.23 tff(19469,plain,
% 16.08/11.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB137, constB138)) | ((~v96(constB138)) <=> v98(constB138)))),
% 16.08/11.23 inference(quant_inst,[status(thm)],[])).
% 16.08/11.23 tff(19470,plain,
% 16.08/11.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB137, constB138)) | ((~v96(constB138)) <=> v98(constB138))),
% 16.08/11.23 inference(modus_ponens,[status(thm)],[19469, 19468])).
% 16.08/11.23 tff(19471,plain,
% 16.08/11.23 ((~v96(constB138)) <=> v98(constB138)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19470, 15421, 2332])).
% 16.08/11.23 tff(19472,plain,
% 16.08/11.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB137, constB138)) | (v98(constB138) <=> v1(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB137, constB138)) | (v98(constB138) <=> v1(constB137)))),
% 16.08/11.23 inference(rewrite,[status(thm)],[])).
% 16.08/11.23 tff(19473,plain,
% 16.08/11.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB137, constB138)) | (v98(constB138) <=> v1(constB137)))),
% 16.08/11.23 inference(quant_inst,[status(thm)],[])).
% 16.08/11.23 tff(19474,plain,
% 16.08/11.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB137, constB138)) | (v98(constB138) <=> v1(constB137))),
% 16.08/11.23 inference(modus_ponens,[status(thm)],[19473, 19472])).
% 16.08/11.23 tff(19475,plain,
% 16.08/11.23 (v98(constB138) <=> v1(constB137)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19474, 15421, 2346])).
% 16.08/11.23 tff(19476,plain,
% 16.08/11.23 ((~(v98(constB138) <=> v1(constB137))) | (~v98(constB138)) | v1(constB137)),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19477,plain,
% 16.08/11.23 ((~(v98(constB138) <=> v1(constB137))) | (~v98(constB138))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19476, 15460])).
% 16.08/11.23 tff(19478,plain,
% 16.08/11.23 (~v98(constB138)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19477, 19475])).
% 16.08/11.23 tff(19479,plain,
% 16.08/11.23 ((~((~v96(constB138)) <=> v98(constB138))) | v96(constB138) | v98(constB138)),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19480,plain,
% 16.08/11.23 (v96(constB138)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19479, 19478, 19471])).
% 16.08/11.23 tff(19481,plain,
% 16.08/11.23 (v1(constB138) <=> v1(constB138)),
% 16.08/11.23 inference(rewrite,[status(thm)],[])).
% 16.08/11.23 tff(19482,axiom,(v1(constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_138')).
% 16.08/11.23 tff(19483,plain,
% 16.08/11.23 (v1(constB138)),
% 16.08/11.23 inference(modus_ponens,[status(thm)],[19482, 19481])).
% 16.08/11.23 tff(19484,plain,
% 16.08/11.23 ((~((~v1(constB138)) | (~v96(constB138)))) | (~v1(constB138)) | (~v96(constB138))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19485,plain,
% 16.08/11.23 ((~((~v1(constB138)) | (~v96(constB138)))) | (~v96(constB138))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19484, 19483])).
% 16.08/11.23 tff(19486,plain,
% 16.08/11.23 (~((~v1(constB138)) | (~v96(constB138)))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19485, 19480])).
% 16.08/11.23 tff(19487,plain,
% 16.08/11.23 ((~(v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138)))))) | v95(constB138) | ((~v1(constB138)) | (~v96(constB138)))),
% 16.08/11.23 inference(tautology,[status(thm)],[])).
% 16.08/11.23 tff(19488,plain,
% 16.08/11.23 (v95(constB138)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19487, 19486, 19467])).
% 16.08/11.23 tff(19489,plain,
% 16.08/11.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB137, constB138)) | (v104(constB138) <=> v102(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB137, constB138)) | (v104(constB138) <=> v102(constB137)))),
% 16.08/11.23 inference(rewrite,[status(thm)],[])).
% 16.08/11.23 tff(19490,plain,
% 16.08/11.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB137, constB138)) | (v104(constB138) <=> v102(constB137)))),
% 16.08/11.23 inference(quant_inst,[status(thm)],[])).
% 16.08/11.23 tff(19491,plain,
% 16.08/11.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB137, constB138)) | (v104(constB138) <=> v102(constB137))),
% 16.08/11.23 inference(modus_ponens,[status(thm)],[19490, 19489])).
% 16.08/11.23 tff(19492,plain,
% 16.08/11.23 (v104(constB138) <=> v102(constB137)),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19491, 15421, 2373])).
% 16.08/11.23 tff(19493,plain,
% 16.08/11.23 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB137) <=> (v105(constB137) | v106(constB137)))),
% 16.08/11.23 inference(quant_inst,[status(thm)],[])).
% 16.08/11.23 tff(19494,plain,
% 16.08/11.23 (v102(constB137) <=> (v105(constB137) | v106(constB137))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19493, 2384])).
% 16.08/11.23 tff(19495,plain,
% 16.08/11.23 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB137) <=> (~((~v107(constB137)) | (~v120(constB137)))))),
% 16.08/11.23 inference(quant_inst,[status(thm)],[])).
% 16.08/11.23 tff(19496,plain,
% 16.08/11.23 (v106(constB137) <=> (~((~v107(constB137)) | (~v120(constB137))))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19495, 2396])).
% 16.08/11.23 tff(19497,plain,
% 16.08/11.23 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB137) <=> (v108(constB137) | v119(constB137)))),
% 16.08/11.23 inference(quant_inst,[status(thm)],[])).
% 16.08/11.23 tff(19498,plain,
% 16.08/11.23 (v107(constB137) <=> (v108(constB137) | v119(constB137))),
% 16.08/11.23 inference(unit_resolution,[status(thm)],[19497, 2405])).
% 16.08/11.23 tff(19499,plain,
% 16.08/11.23 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB137) <=> (v109(constB137) | v118(constB137)))),
% 16.08/11.24 inference(quant_inst,[status(thm)],[])).
% 16.08/11.24 tff(19500,plain,
% 16.08/11.24 (v108(constB137) <=> (v109(constB137) | v118(constB137))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19499, 2414])).
% 16.08/11.24 tff(19501,plain,
% 16.08/11.24 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB137) <=> (v110(constB137) | v117(constB137)))),
% 16.08/11.24 inference(quant_inst,[status(thm)],[])).
% 16.08/11.24 tff(19502,plain,
% 16.08/11.24 (v109(constB137) <=> (v110(constB137) | v117(constB137))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19501, 2423])).
% 16.08/11.24 tff(19503,plain,
% 16.08/11.24 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB137) <=> (v111(constB137) | v116(constB137)))),
% 16.08/11.24 inference(quant_inst,[status(thm)],[])).
% 16.08/11.24 tff(19504,plain,
% 16.08/11.24 (v110(constB137) <=> (v111(constB137) | v116(constB137))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19503, 2432])).
% 16.08/11.24 tff(19505,plain,
% 16.08/11.24 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB137) <=> (v112(constB137) | v115(constB137)))),
% 16.08/11.24 inference(quant_inst,[status(thm)],[])).
% 16.08/11.24 tff(19506,plain,
% 16.08/11.24 (v111(constB137) <=> (v112(constB137) | v115(constB137))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19505, 2441])).
% 16.08/11.24 tff(19507,plain,
% 16.08/11.24 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB137) <=> (v113(constB137) | v114(constB137)))),
% 16.08/11.24 inference(quant_inst,[status(thm)],[])).
% 16.08/11.24 tff(19508,plain,
% 16.08/11.24 (v112(constB137) <=> (v113(constB137) | v114(constB137))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19507, 2450])).
% 16.08/11.24 tff(19509,plain,
% 16.08/11.24 ((v113(constB137) | v114(constB137)) | (~v114(constB137))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19510,plain,
% 16.08/11.24 (v113(constB137) | v114(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19509, 19442])).
% 16.08/11.24 tff(19511,plain,
% 16.08/11.24 ((~(v112(constB137) <=> (v113(constB137) | v114(constB137)))) | v112(constB137) | (~(v113(constB137) | v114(constB137)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19512,plain,
% 16.08/11.24 (v112(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19511, 19510, 19508])).
% 16.08/11.24 tff(19513,plain,
% 16.08/11.24 ((v112(constB137) | v115(constB137)) | (~v112(constB137))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19514,plain,
% 16.08/11.24 (v112(constB137) | v115(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19513, 19512])).
% 16.08/11.24 tff(19515,plain,
% 16.08/11.24 ((~(v111(constB137) <=> (v112(constB137) | v115(constB137)))) | v111(constB137) | (~(v112(constB137) | v115(constB137)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19516,plain,
% 16.08/11.24 (v111(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19515, 19514, 19506])).
% 16.08/11.24 tff(19517,plain,
% 16.08/11.24 ((v111(constB137) | v116(constB137)) | (~v111(constB137))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19518,plain,
% 16.08/11.24 (v111(constB137) | v116(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19517, 19516])).
% 16.08/11.24 tff(19519,plain,
% 16.08/11.24 ((~(v110(constB137) <=> (v111(constB137) | v116(constB137)))) | v110(constB137) | (~(v111(constB137) | v116(constB137)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19520,plain,
% 16.08/11.24 (v110(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19519, 19518, 19504])).
% 16.08/11.24 tff(19521,plain,
% 16.08/11.24 ((v110(constB137) | v117(constB137)) | (~v110(constB137))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19522,plain,
% 16.08/11.24 (v110(constB137) | v117(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19521, 19520])).
% 16.08/11.24 tff(19523,plain,
% 16.08/11.24 ((~(v109(constB137) <=> (v110(constB137) | v117(constB137)))) | v109(constB137) | (~(v110(constB137) | v117(constB137)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19524,plain,
% 16.08/11.24 (v109(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19523, 19522, 19502])).
% 16.08/11.24 tff(19525,plain,
% 16.08/11.24 ((v109(constB137) | v118(constB137)) | (~v109(constB137))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19526,plain,
% 16.08/11.24 (v109(constB137) | v118(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19525, 19524])).
% 16.08/11.24 tff(19527,plain,
% 16.08/11.24 ((~(v108(constB137) <=> (v109(constB137) | v118(constB137)))) | v108(constB137) | (~(v109(constB137) | v118(constB137)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19528,plain,
% 16.08/11.24 (v108(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19527, 19526, 19500])).
% 16.08/11.24 tff(19529,plain,
% 16.08/11.24 ((v108(constB137) | v119(constB137)) | (~v108(constB137))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19530,plain,
% 16.08/11.24 (v108(constB137) | v119(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19529, 19528])).
% 16.08/11.24 tff(19531,plain,
% 16.08/11.24 ((~(v107(constB137) <=> (v108(constB137) | v119(constB137)))) | v107(constB137) | (~(v108(constB137) | v119(constB137)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19532,plain,
% 16.08/11.24 (v107(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19531, 19530, 19498])).
% 16.08/11.24 tff(19533,plain,
% 16.08/11.24 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB137)) <=> v105(constB137))),
% 16.08/11.24 inference(quant_inst,[status(thm)],[])).
% 16.08/11.24 tff(19534,plain,
% 16.08/11.24 ((~v120(constB137)) <=> v105(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19533, 2484])).
% 16.08/11.24 tff(19535,plain,
% 16.08/11.24 ((~((~v120(constB137)) <=> v105(constB137))) | v120(constB137) | v105(constB137)),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19536,plain,
% 16.08/11.24 ((~((~v120(constB137)) <=> v105(constB137))) | v120(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19535, 15434])).
% 16.08/11.24 tff(19537,plain,
% 16.08/11.24 (v120(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19536, 19534])).
% 16.08/11.24 tff(19538,plain,
% 16.08/11.24 ((~((~v107(constB137)) | (~v120(constB137)))) | (~v107(constB137)) | (~v120(constB137))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19539,plain,
% 16.08/11.24 ((~((~v107(constB137)) | (~v120(constB137)))) | (~v107(constB137))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19538, 19537])).
% 16.08/11.24 tff(19540,plain,
% 16.08/11.24 (~((~v107(constB137)) | (~v120(constB137)))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19539, 19532])).
% 16.08/11.24 tff(19541,plain,
% 16.08/11.24 ((~(v106(constB137) <=> (~((~v107(constB137)) | (~v120(constB137)))))) | v106(constB137) | ((~v107(constB137)) | (~v120(constB137)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19542,plain,
% 16.08/11.24 (v106(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19541, 19540, 19496])).
% 16.08/11.24 tff(19543,plain,
% 16.08/11.24 ((v105(constB137) | v106(constB137)) | (~v106(constB137))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19544,plain,
% 16.08/11.24 (v105(constB137) | v106(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19543, 19542])).
% 16.08/11.24 tff(19545,plain,
% 16.08/11.24 ((~(v102(constB137) <=> (v105(constB137) | v106(constB137)))) | v102(constB137) | (~(v105(constB137) | v106(constB137)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19546,plain,
% 16.08/11.24 (v102(constB137)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19545, 19544, 19494])).
% 16.08/11.24 tff(19547,plain,
% 16.08/11.24 ((~(v104(constB138) <=> v102(constB137))) | v104(constB138) | (~v102(constB137))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19548,plain,
% 16.08/11.24 (v104(constB138)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19547, 19546, 19492])).
% 16.08/11.24 tff(19549,plain,
% 16.08/11.24 ((~((~v95(constB138)) | (~v104(constB138)))) | (~v95(constB138)) | (~v104(constB138))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19550,plain,
% 16.08/11.24 (~((~v95(constB138)) | (~v104(constB138)))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19549, 19548, 19488])).
% 16.08/11.24 tff(19551,plain,
% 16.08/11.24 ((~(v94(constB138) <=> (~((~v95(constB138)) | (~v104(constB138)))))) | v94(constB138) | ((~v95(constB138)) | (~v104(constB138)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19552,plain,
% 16.08/11.24 (v94(constB138)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19551, 19550, 19460])).
% 16.08/11.24 tff(19553,plain,
% 16.08/11.24 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB138)) | (~(((~v84(constB138, 0)) <=> v123(constB138, 0)) | ((~v84(constB138, 2)) <=> v123(constB138, 2)) | ((~v84(constB138, 1)) <=> v123(constB138, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB138)) | (~(((~v84(constB138, 0)) <=> v123(constB138, 0)) | ((~v84(constB138, 2)) <=> v123(constB138, 2)) | ((~v84(constB138, 1)) <=> v123(constB138, 1)))))),
% 16.08/11.24 inference(rewrite,[status(thm)],[])).
% 16.08/11.24 tff(19554,plain,
% 16.08/11.24 (((~v94(constB138)) | (~(((~v84(constB138, 2)) <=> v123(constB138, 2)) | ((~v84(constB138, 1)) <=> v123(constB138, 1)) | ((~v84(constB138, 0)) <=> v123(constB138, 0))))) <=> ((~v94(constB138)) | (~(((~v84(constB138, 0)) <=> v123(constB138, 0)) | ((~v84(constB138, 2)) <=> v123(constB138, 2)) | ((~v84(constB138, 1)) <=> v123(constB138, 1)))))),
% 16.08/11.24 inference(rewrite,[status(thm)],[])).
% 16.08/11.24 tff(19555,plain,
% 16.08/11.24 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB138)) | (~(((~v84(constB138, 2)) <=> v123(constB138, 2)) | ((~v84(constB138, 1)) <=> v123(constB138, 1)) | ((~v84(constB138, 0)) <=> v123(constB138, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB138)) | (~(((~v84(constB138, 0)) <=> v123(constB138, 0)) | ((~v84(constB138, 2)) <=> v123(constB138, 2)) | ((~v84(constB138, 1)) <=> v123(constB138, 1))))))),
% 16.08/11.24 inference(monotonicity,[status(thm)],[19554])).
% 16.08/11.24 tff(19556,plain,
% 16.08/11.24 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB138)) | (~(((~v84(constB138, 2)) <=> v123(constB138, 2)) | ((~v84(constB138, 1)) <=> v123(constB138, 1)) | ((~v84(constB138, 0)) <=> v123(constB138, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB138)) | (~(((~v84(constB138, 0)) <=> v123(constB138, 0)) | ((~v84(constB138, 2)) <=> v123(constB138, 2)) | ((~v84(constB138, 1)) <=> v123(constB138, 1)))))),
% 16.08/11.24 inference(transitivity,[status(thm)],[19555, 19553])).
% 16.08/11.24 tff(19557,plain,
% 16.08/11.24 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB138)) | (~(((~v84(constB138, 2)) <=> v123(constB138, 2)) | ((~v84(constB138, 1)) <=> v123(constB138, 1)) | ((~v84(constB138, 0)) <=> v123(constB138, 0)))))),
% 16.08/11.24 inference(quant_inst,[status(thm)],[])).
% 16.08/11.24 tff(19558,plain,
% 16.08/11.24 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB138)) | (~(((~v84(constB138, 0)) <=> v123(constB138, 0)) | ((~v84(constB138, 2)) <=> v123(constB138, 2)) | ((~v84(constB138, 1)) <=> v123(constB138, 1))))),
% 16.08/11.24 inference(modus_ponens,[status(thm)],[19557, 19556])).
% 16.08/11.24 tff(19559,plain,
% 16.08/11.24 ((~v94(constB138)) | (~(((~v84(constB138, 0)) <=> v123(constB138, 0)) | ((~v84(constB138, 2)) <=> v123(constB138, 2)) | ((~v84(constB138, 1)) <=> v123(constB138, 1))))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19558, 2517])).
% 16.08/11.24 tff(19560,plain,
% 16.08/11.24 (~(((~v84(constB138, 0)) <=> v123(constB138, 0)) | ((~v84(constB138, 2)) <=> v123(constB138, 2)) | ((~v84(constB138, 1)) <=> v123(constB138, 1)))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19559, 19552])).
% 16.08/11.24 tff(19561,plain,
% 16.08/11.24 ((((~v84(constB138, 0)) <=> v123(constB138, 0)) | ((~v84(constB138, 2)) <=> v123(constB138, 2)) | ((~v84(constB138, 1)) <=> v123(constB138, 1))) | (~((~v84(constB138, 2)) <=> v123(constB138, 2)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19562,plain,
% 16.08/11.24 (~((~v84(constB138, 2)) <=> v123(constB138, 2))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19561, 19560])).
% 16.08/11.24 tff(19563,plain,
% 16.08/11.24 (((~v84(constB138, 2)) <=> v123(constB138, 2)) | (~v84(constB138, 2)) | v123(constB138, 2)),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19564,plain,
% 16.08/11.24 (~v84(constB138, 2)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19563, 19562, 19456])).
% 16.08/11.24 tff(19565,plain,
% 16.08/11.24 (((~v84(constB139, 2)) <=> v84(constB138, 2)) | (~v84(constB139, 2)) | v84(constB138, 2)),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19566,plain,
% 16.08/11.24 (~v84(constB139, 2)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19565, 19564, 15418])).
% 16.08/11.24 tff(19567,plain,
% 16.08/11.24 ((((~v84(constB139, 1)) <=> v84(constB138, 1)) | ((~v84(constB139, 2)) <=> v84(constB138, 2)) | ((~v84(constB139, 0)) <=> v84(constB138, 0))) | (~((~v84(constB139, 0)) <=> v84(constB138, 0)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19568,plain,
% 16.08/11.24 (~((~v84(constB139, 0)) <=> v84(constB138, 0))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19567, 15416])).
% 16.08/11.24 tff(19569,plain,
% 16.08/11.24 ((((~v123(constB138, 2)) <=> v121(constB137, 2)) | ((~v123(constB138, 1)) <=> v121(constB137, 1)) | ((~v123(constB138, 0)) <=> v121(constB137, 0))) | (~((~v123(constB138, 0)) <=> v121(constB137, 0)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19570,plain,
% 16.08/11.24 (~((~v123(constB138, 0)) <=> v121(constB137, 0))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19569, 15425])).
% 16.08/11.24 tff(19571,plain,
% 16.08/11.24 ((((~v121(constB137, 2)) <=> v124(constB137, 2)) | ((~v121(constB137, 0)) <=> v124(constB137, 0)) | ((~v121(constB137, 1)) <=> v124(constB137, 1))) | (~((~v121(constB137, 0)) <=> v124(constB137, 0)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19572,plain,
% 16.08/11.24 (~((~v121(constB137, 0)) <=> v124(constB137, 0))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19571, 15439])).
% 16.08/11.24 tff(19573,plain,
% 16.08/11.24 ((v124(constB137, 2) | v124(constB137, 0) | (~v124(constB137, 1))) | (~v124(constB137, 0))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19574,plain,
% 16.08/11.24 (~v124(constB137, 0)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19573, 19450])).
% 16.08/11.24 tff(19575,plain,
% 16.08/11.24 (((~v121(constB137, 0)) <=> v124(constB137, 0)) | (~v121(constB137, 0)) | v124(constB137, 0)),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19576,plain,
% 16.08/11.24 (~v121(constB137, 0)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19575, 19574, 19572])).
% 16.08/11.24 tff(19577,plain,
% 16.08/11.24 (((~v123(constB138, 0)) <=> v121(constB137, 0)) | (~v123(constB138, 0)) | v121(constB137, 0)),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19578,plain,
% 16.08/11.24 (~v123(constB138, 0)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19577, 19576, 19570])).
% 16.08/11.24 tff(19579,plain,
% 16.08/11.24 ((((~v84(constB138, 0)) <=> v123(constB138, 0)) | ((~v84(constB138, 2)) <=> v123(constB138, 2)) | ((~v84(constB138, 1)) <=> v123(constB138, 1))) | (~((~v84(constB138, 0)) <=> v123(constB138, 0)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19580,plain,
% 16.08/11.24 (~((~v84(constB138, 0)) <=> v123(constB138, 0))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19579, 19560])).
% 16.08/11.24 tff(19581,plain,
% 16.08/11.24 (((~v84(constB138, 0)) <=> v123(constB138, 0)) | (~v84(constB138, 0)) | v123(constB138, 0)),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19582,plain,
% 16.08/11.24 (~v84(constB138, 0)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19581, 19580, 19578])).
% 16.08/11.24 tff(19583,plain,
% 16.08/11.24 (((~v84(constB139, 0)) <=> v84(constB138, 0)) | (~v84(constB139, 0)) | v84(constB138, 0)),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19584,plain,
% 16.08/11.24 (~v84(constB139, 0)),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19583, 19582, 19568])).
% 16.08/11.24 tff(19585,plain,
% 16.08/11.24 ((((~v84(constB139, 1)) <=> v84(constB138, 1)) | ((~v84(constB139, 2)) <=> v84(constB138, 2)) | ((~v84(constB139, 0)) <=> v84(constB138, 0))) | (~((~v84(constB139, 1)) <=> v84(constB138, 1)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19586,plain,
% 16.08/11.24 (~((~v84(constB139, 1)) <=> v84(constB138, 1))),
% 16.08/11.24 inference(unit_resolution,[status(thm)],[19585, 15416])).
% 16.08/11.24 tff(19587,plain,
% 16.08/11.24 ((((~v123(constB138, 2)) <=> v121(constB137, 2)) | ((~v123(constB138, 1)) <=> v121(constB137, 1)) | ((~v123(constB138, 0)) <=> v121(constB137, 0))) | (~((~v123(constB138, 1)) <=> v121(constB137, 1)))),
% 16.08/11.24 inference(tautology,[status(thm)],[])).
% 16.08/11.24 tff(19588,plain,
% 16.08/11.24 (~((~v123(constB138, 1)) <=> v121(constB137, 1))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19587, 15425])).
% 16.08/11.25 tff(19589,plain,
% 16.08/11.25 ((((~v121(constB137, 2)) <=> v124(constB137, 2)) | ((~v121(constB137, 0)) <=> v124(constB137, 0)) | ((~v121(constB137, 1)) <=> v124(constB137, 1))) | (~((~v121(constB137, 1)) <=> v124(constB137, 1)))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19590,plain,
% 16.08/11.25 (~((~v121(constB137, 1)) <=> v124(constB137, 1))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19589, 15439])).
% 16.08/11.25 tff(19591,plain,
% 16.08/11.25 ((v124(constB137, 2) | v124(constB137, 0) | (~v124(constB137, 1))) | v124(constB137, 1)),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19592,plain,
% 16.08/11.25 (v124(constB137, 1)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19591, 19450])).
% 16.08/11.25 tff(19593,plain,
% 16.08/11.25 (((~v121(constB137, 1)) <=> v124(constB137, 1)) | v121(constB137, 1) | (~v124(constB137, 1))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19594,plain,
% 16.08/11.25 (v121(constB137, 1)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19593, 19592, 19590])).
% 16.08/11.25 tff(19595,plain,
% 16.08/11.25 (((~v123(constB138, 1)) <=> v121(constB137, 1)) | v123(constB138, 1) | (~v121(constB137, 1))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19596,plain,
% 16.08/11.25 (v123(constB138, 1)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19595, 19594, 19588])).
% 16.08/11.25 tff(19597,plain,
% 16.08/11.25 ((((~v84(constB138, 0)) <=> v123(constB138, 0)) | ((~v84(constB138, 2)) <=> v123(constB138, 2)) | ((~v84(constB138, 1)) <=> v123(constB138, 1))) | (~((~v84(constB138, 1)) <=> v123(constB138, 1)))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19598,plain,
% 16.08/11.25 (~((~v84(constB138, 1)) <=> v123(constB138, 1))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19597, 19560])).
% 16.08/11.25 tff(19599,plain,
% 16.08/11.25 (((~v84(constB138, 1)) <=> v123(constB138, 1)) | v84(constB138, 1) | (~v123(constB138, 1))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19600,plain,
% 16.08/11.25 (v84(constB138, 1)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19599, 19598, 19596])).
% 16.08/11.25 tff(19601,plain,
% 16.08/11.25 (((~v84(constB139, 1)) <=> v84(constB138, 1)) | v84(constB139, 1) | (~v84(constB138, 1))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19602,plain,
% 16.08/11.25 (v84(constB139, 1)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19601, 19600, 19586])).
% 16.08/11.25 tff(19603,plain,
% 16.08/11.25 ((~(v84(constB139, 2) | v84(constB139, 0) | (~v84(constB139, 1)))) | v84(constB139, 2) | v84(constB139, 0) | (~v84(constB139, 1))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19604,plain,
% 16.08/11.25 (~(v84(constB139, 2) | v84(constB139, 0) | (~v84(constB139, 1)))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19603, 19602, 19584, 19566])).
% 16.08/11.25 tff(19605,plain,
% 16.08/11.25 ((~(v115(constB139) <=> (~(v84(constB139, 2) | v84(constB139, 0) | (~v84(constB139, 1)))))) | v115(constB139) | (v84(constB139, 2) | v84(constB139, 0) | (~v84(constB139, 1)))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19606,plain,
% 16.08/11.25 (v115(constB139)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19605, 19604, 15382])).
% 16.08/11.25 tff(19607,plain,
% 16.08/11.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB139)) | (~(v124(constB139, 2) | (~v124(constB139, 0)) | (~v124(constB139, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB139)) | (~(v124(constB139, 2) | (~v124(constB139, 0)) | (~v124(constB139, 1)))))),
% 16.08/11.25 inference(rewrite,[status(thm)],[])).
% 16.08/11.25 tff(19608,plain,
% 16.08/11.25 (((~v115(constB139)) | (~(v124(constB139, 2) | (~v124(constB139, 1)) | (~v124(constB139, 0))))) <=> ((~v115(constB139)) | (~(v124(constB139, 2) | (~v124(constB139, 0)) | (~v124(constB139, 1)))))),
% 16.08/11.25 inference(rewrite,[status(thm)],[])).
% 16.08/11.25 tff(19609,plain,
% 16.08/11.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB139)) | (~(v124(constB139, 2) | (~v124(constB139, 1)) | (~v124(constB139, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB139)) | (~(v124(constB139, 2) | (~v124(constB139, 0)) | (~v124(constB139, 1))))))),
% 16.08/11.25 inference(monotonicity,[status(thm)],[19608])).
% 16.08/11.25 tff(19610,plain,
% 16.08/11.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB139)) | (~(v124(constB139, 2) | (~v124(constB139, 1)) | (~v124(constB139, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB139)) | (~(v124(constB139, 2) | (~v124(constB139, 0)) | (~v124(constB139, 1)))))),
% 16.08/11.25 inference(transitivity,[status(thm)],[19609, 19607])).
% 16.08/11.25 tff(19611,plain,
% 16.08/11.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB139)) | (~(v124(constB139, 2) | (~v124(constB139, 1)) | (~v124(constB139, 0)))))),
% 16.08/11.25 inference(quant_inst,[status(thm)],[])).
% 16.08/11.25 tff(19612,plain,
% 16.08/11.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB139)) | (~(v124(constB139, 2) | (~v124(constB139, 0)) | (~v124(constB139, 1))))),
% 16.08/11.25 inference(modus_ponens,[status(thm)],[19611, 19610])).
% 16.08/11.25 tff(19613,plain,
% 16.08/11.25 ((~v115(constB139)) | (~(v124(constB139, 2) | (~v124(constB139, 0)) | (~v124(constB139, 1))))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19612, 3138])).
% 16.08/11.25 tff(19614,plain,
% 16.08/11.25 (~(v124(constB139, 2) | (~v124(constB139, 0)) | (~v124(constB139, 1)))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19613, 19606])).
% 16.08/11.25 tff(19615,plain,
% 16.08/11.25 ((v124(constB139, 2) | (~v124(constB139, 0)) | (~v124(constB139, 1))) | (~v124(constB139, 2))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19616,plain,
% 16.08/11.25 (~v124(constB139, 2)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19615, 19614])).
% 16.08/11.25 tff(19617,plain,
% 16.08/11.25 (((~v121(constB139, 2)) <=> v124(constB139, 2)) | (~v121(constB139, 2)) | v124(constB139, 2)),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19618,plain,
% 16.08/11.25 (~v121(constB139, 2)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19617, 19616, 15375])).
% 16.08/11.25 tff(19619,plain,
% 16.08/11.25 (((~v123(constB140, 2)) <=> v121(constB139, 2)) | (~v123(constB140, 2)) | v121(constB139, 2)),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19620,plain,
% 16.08/11.25 (~v123(constB140, 2)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19619, 19618, 15361])).
% 16.08/11.25 tff(19621,plain,
% 16.08/11.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB139, constB140)) | (v94(constB140) <=> (~((~v95(constB140)) | (~v104(constB140))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB139, constB140)) | (v94(constB140) <=> (~((~v95(constB140)) | (~v104(constB140))))))),
% 16.08/11.25 inference(rewrite,[status(thm)],[])).
% 16.08/11.25 tff(19622,plain,
% 16.08/11.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB139, constB140)) | (v94(constB140) <=> (~((~v95(constB140)) | (~v104(constB140))))))),
% 16.08/11.25 inference(quant_inst,[status(thm)],[])).
% 16.08/11.25 tff(19623,plain,
% 16.08/11.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB139, constB140)) | (v94(constB140) <=> (~((~v95(constB140)) | (~v104(constB140)))))),
% 16.08/11.25 inference(modus_ponens,[status(thm)],[19622, 19621])).
% 16.08/11.25 tff(19624,plain,
% 16.08/11.25 (v94(constB140) <=> (~((~v95(constB140)) | (~v104(constB140))))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19623, 15355, 770])).
% 16.08/11.25 tff(19625,plain,
% 16.08/11.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140))))))),
% 16.08/11.25 inference(rewrite,[status(thm)],[])).
% 16.08/11.25 tff(19626,plain,
% 16.08/11.25 (((~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v96(constB140)) | (~v1(constB140)))))) <=> ((~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140))))))),
% 16.08/11.25 inference(rewrite,[status(thm)],[])).
% 16.08/11.25 tff(19627,plain,
% 16.08/11.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v96(constB140)) | (~v1(constB140))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140)))))))),
% 16.08/11.25 inference(monotonicity,[status(thm)],[19626])).
% 16.08/11.25 tff(19628,plain,
% 16.08/11.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v96(constB140)) | (~v1(constB140))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140))))))),
% 16.08/11.25 inference(transitivity,[status(thm)],[19627, 19625])).
% 16.08/11.25 tff(19629,plain,
% 16.08/11.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v96(constB140)) | (~v1(constB140))))))),
% 16.08/11.25 inference(quant_inst,[status(thm)],[])).
% 16.08/11.25 tff(19630,plain,
% 16.08/11.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140)))))),
% 16.08/11.25 inference(modus_ponens,[status(thm)],[19629, 19628])).
% 16.08/11.25 tff(19631,plain,
% 16.08/11.25 (v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140))))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19630, 15355, 790])).
% 16.08/11.25 tff(19632,plain,
% 16.08/11.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB139, constB140)) | ((~v96(constB140)) <=> v98(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB139, constB140)) | ((~v96(constB140)) <=> v98(constB140)))),
% 16.08/11.25 inference(rewrite,[status(thm)],[])).
% 16.08/11.25 tff(19633,plain,
% 16.08/11.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB139, constB140)) | ((~v96(constB140)) <=> v98(constB140)))),
% 16.08/11.25 inference(quant_inst,[status(thm)],[])).
% 16.08/11.25 tff(19634,plain,
% 16.08/11.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB139, constB140)) | ((~v96(constB140)) <=> v98(constB140))),
% 16.08/11.25 inference(modus_ponens,[status(thm)],[19633, 19632])).
% 16.08/11.25 tff(19635,plain,
% 16.08/11.25 ((~v96(constB140)) <=> v98(constB140)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19634, 15355, 2332])).
% 16.08/11.25 tff(19636,plain,
% 16.08/11.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB139, constB140)) | (v98(constB140) <=> v1(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB139, constB140)) | (v98(constB140) <=> v1(constB139)))),
% 16.08/11.25 inference(rewrite,[status(thm)],[])).
% 16.08/11.25 tff(19637,plain,
% 16.08/11.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB139, constB140)) | (v98(constB140) <=> v1(constB139)))),
% 16.08/11.25 inference(quant_inst,[status(thm)],[])).
% 16.08/11.25 tff(19638,plain,
% 16.08/11.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB139, constB140)) | (v98(constB140) <=> v1(constB139))),
% 16.08/11.25 inference(modus_ponens,[status(thm)],[19637, 19636])).
% 16.08/11.25 tff(19639,plain,
% 16.08/11.25 (v98(constB140) <=> v1(constB139)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19638, 15355, 2346])).
% 16.08/11.25 tff(19640,plain,
% 16.08/11.25 ((~(v98(constB140) <=> v1(constB139))) | (~v98(constB140)) | v1(constB139)),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19641,plain,
% 16.08/11.25 ((~(v98(constB140) <=> v1(constB139))) | (~v98(constB140))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19640, 15399])).
% 16.08/11.25 tff(19642,plain,
% 16.08/11.25 (~v98(constB140)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19641, 19639])).
% 16.08/11.25 tff(19643,plain,
% 16.08/11.25 ((~((~v96(constB140)) <=> v98(constB140))) | v96(constB140) | v98(constB140)),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19644,plain,
% 16.08/11.25 (v96(constB140)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19643, 19642, 19635])).
% 16.08/11.25 tff(19645,plain,
% 16.08/11.25 (v1(constB140) <=> v1(constB140)),
% 16.08/11.25 inference(rewrite,[status(thm)],[])).
% 16.08/11.25 tff(19646,axiom,(v1(constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_140')).
% 16.08/11.25 tff(19647,plain,
% 16.08/11.25 (v1(constB140)),
% 16.08/11.25 inference(modus_ponens,[status(thm)],[19646, 19645])).
% 16.08/11.25 tff(19648,plain,
% 16.08/11.25 ((~((~v1(constB140)) | (~v96(constB140)))) | (~v1(constB140)) | (~v96(constB140))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19649,plain,
% 16.08/11.25 ((~((~v1(constB140)) | (~v96(constB140)))) | (~v96(constB140))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19648, 19647])).
% 16.08/11.25 tff(19650,plain,
% 16.08/11.25 (~((~v1(constB140)) | (~v96(constB140)))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19649, 19644])).
% 16.08/11.25 tff(19651,plain,
% 16.08/11.25 ((~(v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140)))))) | v95(constB140) | ((~v1(constB140)) | (~v96(constB140)))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19652,plain,
% 16.08/11.25 (v95(constB140)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19651, 19650, 19631])).
% 16.08/11.25 tff(19653,plain,
% 16.08/11.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB139, constB140)) | (v104(constB140) <=> v102(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB139, constB140)) | (v104(constB140) <=> v102(constB139)))),
% 16.08/11.25 inference(rewrite,[status(thm)],[])).
% 16.08/11.25 tff(19654,plain,
% 16.08/11.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB139, constB140)) | (v104(constB140) <=> v102(constB139)))),
% 16.08/11.25 inference(quant_inst,[status(thm)],[])).
% 16.08/11.25 tff(19655,plain,
% 16.08/11.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB139, constB140)) | (v104(constB140) <=> v102(constB139))),
% 16.08/11.25 inference(modus_ponens,[status(thm)],[19654, 19653])).
% 16.08/11.25 tff(19656,plain,
% 16.08/11.25 (v104(constB140) <=> v102(constB139)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19655, 15355, 2373])).
% 16.08/11.25 tff(19657,plain,
% 16.08/11.25 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB139) <=> (v105(constB139) | v106(constB139)))),
% 16.08/11.25 inference(quant_inst,[status(thm)],[])).
% 16.08/11.25 tff(19658,plain,
% 16.08/11.25 (v102(constB139) <=> (v105(constB139) | v106(constB139))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19657, 2384])).
% 16.08/11.25 tff(19659,plain,
% 16.08/11.25 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB139) <=> (~((~v107(constB139)) | (~v120(constB139)))))),
% 16.08/11.25 inference(quant_inst,[status(thm)],[])).
% 16.08/11.25 tff(19660,plain,
% 16.08/11.25 (v106(constB139) <=> (~((~v107(constB139)) | (~v120(constB139))))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19659, 2396])).
% 16.08/11.25 tff(19661,plain,
% 16.08/11.25 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB139) <=> (v108(constB139) | v119(constB139)))),
% 16.08/11.25 inference(quant_inst,[status(thm)],[])).
% 16.08/11.25 tff(19662,plain,
% 16.08/11.25 (v107(constB139) <=> (v108(constB139) | v119(constB139))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19661, 2405])).
% 16.08/11.25 tff(19663,plain,
% 16.08/11.25 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB139) <=> (v109(constB139) | v118(constB139)))),
% 16.08/11.25 inference(quant_inst,[status(thm)],[])).
% 16.08/11.25 tff(19664,plain,
% 16.08/11.25 (v108(constB139) <=> (v109(constB139) | v118(constB139))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19663, 2414])).
% 16.08/11.25 tff(19665,plain,
% 16.08/11.25 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB139) <=> (v110(constB139) | v117(constB139)))),
% 16.08/11.25 inference(quant_inst,[status(thm)],[])).
% 16.08/11.25 tff(19666,plain,
% 16.08/11.25 (v109(constB139) <=> (v110(constB139) | v117(constB139))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19665, 2423])).
% 16.08/11.25 tff(19667,plain,
% 16.08/11.25 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB139) <=> (v111(constB139) | v116(constB139)))),
% 16.08/11.25 inference(quant_inst,[status(thm)],[])).
% 16.08/11.25 tff(19668,plain,
% 16.08/11.25 (v110(constB139) <=> (v111(constB139) | v116(constB139))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19667, 2432])).
% 16.08/11.25 tff(19669,plain,
% 16.08/11.25 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB139) <=> (v112(constB139) | v115(constB139)))),
% 16.08/11.25 inference(quant_inst,[status(thm)],[])).
% 16.08/11.25 tff(19670,plain,
% 16.08/11.25 (v111(constB139) <=> (v112(constB139) | v115(constB139))),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19669, 2441])).
% 16.08/11.25 tff(19671,plain,
% 16.08/11.25 ((v112(constB139) | v115(constB139)) | (~v115(constB139))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19672,plain,
% 16.08/11.25 (v112(constB139) | v115(constB139)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19671, 19606])).
% 16.08/11.25 tff(19673,plain,
% 16.08/11.25 ((~(v111(constB139) <=> (v112(constB139) | v115(constB139)))) | v111(constB139) | (~(v112(constB139) | v115(constB139)))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19674,plain,
% 16.08/11.25 (v111(constB139)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19673, 19672, 19670])).
% 16.08/11.25 tff(19675,plain,
% 16.08/11.25 ((v111(constB139) | v116(constB139)) | (~v111(constB139))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19676,plain,
% 16.08/11.25 (v111(constB139) | v116(constB139)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19675, 19674])).
% 16.08/11.25 tff(19677,plain,
% 16.08/11.25 ((~(v110(constB139) <=> (v111(constB139) | v116(constB139)))) | v110(constB139) | (~(v111(constB139) | v116(constB139)))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19678,plain,
% 16.08/11.25 (v110(constB139)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19677, 19676, 19668])).
% 16.08/11.25 tff(19679,plain,
% 16.08/11.25 ((v110(constB139) | v117(constB139)) | (~v110(constB139))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19680,plain,
% 16.08/11.25 (v110(constB139) | v117(constB139)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19679, 19678])).
% 16.08/11.25 tff(19681,plain,
% 16.08/11.25 ((~(v109(constB139) <=> (v110(constB139) | v117(constB139)))) | v109(constB139) | (~(v110(constB139) | v117(constB139)))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19682,plain,
% 16.08/11.25 (v109(constB139)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19681, 19680, 19666])).
% 16.08/11.25 tff(19683,plain,
% 16.08/11.25 ((v109(constB139) | v118(constB139)) | (~v109(constB139))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19684,plain,
% 16.08/11.25 (v109(constB139) | v118(constB139)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19683, 19682])).
% 16.08/11.25 tff(19685,plain,
% 16.08/11.25 ((~(v108(constB139) <=> (v109(constB139) | v118(constB139)))) | v108(constB139) | (~(v109(constB139) | v118(constB139)))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19686,plain,
% 16.08/11.25 (v108(constB139)),
% 16.08/11.25 inference(unit_resolution,[status(thm)],[19685, 19684, 19664])).
% 16.08/11.25 tff(19687,plain,
% 16.08/11.25 ((v108(constB139) | v119(constB139)) | (~v108(constB139))),
% 16.08/11.25 inference(tautology,[status(thm)],[])).
% 16.08/11.25 tff(19688,plain,
% 16.08/11.25 (v108(constB139) | v119(constB139)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19687, 19686])).
% 16.08/11.26 tff(19689,plain,
% 16.08/11.26 ((~(v107(constB139) <=> (v108(constB139) | v119(constB139)))) | v107(constB139) | (~(v108(constB139) | v119(constB139)))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19690,plain,
% 16.08/11.26 (v107(constB139)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19689, 19688, 19662])).
% 16.08/11.26 tff(19691,plain,
% 16.08/11.26 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB139)) <=> v105(constB139))),
% 16.08/11.26 inference(quant_inst,[status(thm)],[])).
% 16.08/11.26 tff(19692,plain,
% 16.08/11.26 ((~v120(constB139)) <=> v105(constB139)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19691, 2484])).
% 16.08/11.26 tff(19693,plain,
% 16.08/11.26 ((~((~v120(constB139)) <=> v105(constB139))) | v120(constB139) | v105(constB139)),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19694,plain,
% 16.08/11.26 ((~((~v120(constB139)) <=> v105(constB139))) | v120(constB139)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19693, 15368])).
% 16.08/11.26 tff(19695,plain,
% 16.08/11.26 (v120(constB139)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19694, 19692])).
% 16.08/11.26 tff(19696,plain,
% 16.08/11.26 ((~((~v107(constB139)) | (~v120(constB139)))) | (~v107(constB139)) | (~v120(constB139))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19697,plain,
% 16.08/11.26 ((~((~v107(constB139)) | (~v120(constB139)))) | (~v107(constB139))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19696, 19695])).
% 16.08/11.26 tff(19698,plain,
% 16.08/11.26 (~((~v107(constB139)) | (~v120(constB139)))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19697, 19690])).
% 16.08/11.26 tff(19699,plain,
% 16.08/11.26 ((~(v106(constB139) <=> (~((~v107(constB139)) | (~v120(constB139)))))) | v106(constB139) | ((~v107(constB139)) | (~v120(constB139)))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19700,plain,
% 16.08/11.26 (v106(constB139)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19699, 19698, 19660])).
% 16.08/11.26 tff(19701,plain,
% 16.08/11.26 ((v105(constB139) | v106(constB139)) | (~v106(constB139))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19702,plain,
% 16.08/11.26 (v105(constB139) | v106(constB139)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19701, 19700])).
% 16.08/11.26 tff(19703,plain,
% 16.08/11.26 ((~(v102(constB139) <=> (v105(constB139) | v106(constB139)))) | v102(constB139) | (~(v105(constB139) | v106(constB139)))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19704,plain,
% 16.08/11.26 (v102(constB139)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19703, 19702, 19658])).
% 16.08/11.26 tff(19705,plain,
% 16.08/11.26 ((~(v104(constB140) <=> v102(constB139))) | v104(constB140) | (~v102(constB139))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19706,plain,
% 16.08/11.26 (v104(constB140)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19705, 19704, 19656])).
% 16.08/11.26 tff(19707,plain,
% 16.08/11.26 ((~((~v95(constB140)) | (~v104(constB140)))) | (~v95(constB140)) | (~v104(constB140))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19708,plain,
% 16.08/11.26 (~((~v95(constB140)) | (~v104(constB140)))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19707, 19706, 19652])).
% 16.08/11.26 tff(19709,plain,
% 16.08/11.26 ((~(v94(constB140) <=> (~((~v95(constB140)) | (~v104(constB140)))))) | v94(constB140) | ((~v95(constB140)) | (~v104(constB140)))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19710,plain,
% 16.08/11.26 (v94(constB140)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19709, 19708, 19624])).
% 16.08/11.26 tff(19711,plain,
% 16.08/11.26 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB140)) | (~(((~v84(constB140, 2)) <=> v123(constB140, 2)) | ((~v84(constB140, 1)) <=> v123(constB140, 1)) | ((~v84(constB140, 0)) <=> v123(constB140, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB140)) | (~(((~v84(constB140, 2)) <=> v123(constB140, 2)) | ((~v84(constB140, 1)) <=> v123(constB140, 1)) | ((~v84(constB140, 0)) <=> v123(constB140, 0)))))),
% 16.08/11.26 inference(rewrite,[status(thm)],[])).
% 16.08/11.26 tff(19712,plain,
% 16.08/11.26 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB140)) | (~(((~v84(constB140, 2)) <=> v123(constB140, 2)) | ((~v84(constB140, 1)) <=> v123(constB140, 1)) | ((~v84(constB140, 0)) <=> v123(constB140, 0)))))),
% 16.08/11.26 inference(quant_inst,[status(thm)],[])).
% 16.08/11.26 tff(19713,plain,
% 16.08/11.26 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB140)) | (~(((~v84(constB140, 2)) <=> v123(constB140, 2)) | ((~v84(constB140, 1)) <=> v123(constB140, 1)) | ((~v84(constB140, 0)) <=> v123(constB140, 0))))),
% 16.08/11.26 inference(modus_ponens,[status(thm)],[19712, 19711])).
% 16.08/11.26 tff(19714,plain,
% 16.08/11.26 ((~v94(constB140)) | (~(((~v84(constB140, 2)) <=> v123(constB140, 2)) | ((~v84(constB140, 1)) <=> v123(constB140, 1)) | ((~v84(constB140, 0)) <=> v123(constB140, 0))))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19713, 2517])).
% 16.08/11.26 tff(19715,plain,
% 16.08/11.26 (~(((~v84(constB140, 2)) <=> v123(constB140, 2)) | ((~v84(constB140, 1)) <=> v123(constB140, 1)) | ((~v84(constB140, 0)) <=> v123(constB140, 0)))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19714, 19710])).
% 16.08/11.26 tff(19716,plain,
% 16.08/11.26 ((((~v84(constB140, 2)) <=> v123(constB140, 2)) | ((~v84(constB140, 1)) <=> v123(constB140, 1)) | ((~v84(constB140, 0)) <=> v123(constB140, 0))) | (~((~v84(constB140, 2)) <=> v123(constB140, 2)))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19717,plain,
% 16.08/11.26 (~((~v84(constB140, 2)) <=> v123(constB140, 2))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19716, 19715])).
% 16.08/11.26 tff(19718,plain,
% 16.08/11.26 (((~v84(constB140, 2)) <=> v123(constB140, 2)) | (~v84(constB140, 2)) | v123(constB140, 2)),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19719,plain,
% 16.08/11.26 (~v84(constB140, 2)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19718, 19717, 19620])).
% 16.08/11.26 tff(19720,plain,
% 16.08/11.26 (((~v84(constB141, 2)) <=> v84(constB140, 2)) | (~v84(constB141, 2)) | v84(constB140, 2)),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19721,plain,
% 16.08/11.26 (~v84(constB141, 2)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19720, 19719, 15352])).
% 16.08/11.26 tff(19722,plain,
% 16.08/11.26 ((((~v84(constB141, 1)) <=> v84(constB140, 1)) | ((~v84(constB141, 2)) <=> v84(constB140, 2)) | ((~v84(constB141, 0)) <=> v84(constB140, 0))) | (~((~v84(constB141, 0)) <=> v84(constB140, 0)))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19723,plain,
% 16.08/11.26 (~((~v84(constB141, 0)) <=> v84(constB140, 0))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19722, 15350])).
% 16.08/11.26 tff(19724,plain,
% 16.08/11.26 ((((~v123(constB140, 2)) <=> v121(constB139, 2)) | ((~v123(constB140, 1)) <=> v121(constB139, 1)) | ((~v123(constB140, 0)) <=> v121(constB139, 0))) | (~((~v123(constB140, 0)) <=> v121(constB139, 0)))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19725,plain,
% 16.08/11.26 (~((~v123(constB140, 0)) <=> v121(constB139, 0))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19724, 15359])).
% 16.08/11.26 tff(19726,plain,
% 16.08/11.26 ((((~v121(constB139, 2)) <=> v124(constB139, 2)) | ((~v121(constB139, 0)) <=> v124(constB139, 0)) | ((~v121(constB139, 1)) <=> v124(constB139, 1))) | (~((~v121(constB139, 0)) <=> v124(constB139, 0)))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19727,plain,
% 16.08/11.26 (~((~v121(constB139, 0)) <=> v124(constB139, 0))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19726, 15373])).
% 16.08/11.26 tff(19728,plain,
% 16.08/11.26 ((v124(constB139, 2) | (~v124(constB139, 0)) | (~v124(constB139, 1))) | v124(constB139, 0)),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19729,plain,
% 16.08/11.26 (v124(constB139, 0)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19728, 19614])).
% 16.08/11.26 tff(19730,plain,
% 16.08/11.26 (((~v121(constB139, 0)) <=> v124(constB139, 0)) | v121(constB139, 0) | (~v124(constB139, 0))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19731,plain,
% 16.08/11.26 (v121(constB139, 0)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19730, 19729, 19727])).
% 16.08/11.26 tff(19732,plain,
% 16.08/11.26 (((~v123(constB140, 0)) <=> v121(constB139, 0)) | v123(constB140, 0) | (~v121(constB139, 0))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19733,plain,
% 16.08/11.26 (v123(constB140, 0)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19732, 19731, 19725])).
% 16.08/11.26 tff(19734,plain,
% 16.08/11.26 ((((~v84(constB140, 2)) <=> v123(constB140, 2)) | ((~v84(constB140, 1)) <=> v123(constB140, 1)) | ((~v84(constB140, 0)) <=> v123(constB140, 0))) | (~((~v84(constB140, 0)) <=> v123(constB140, 0)))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19735,plain,
% 16.08/11.26 (~((~v84(constB140, 0)) <=> v123(constB140, 0))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19734, 19715])).
% 16.08/11.26 tff(19736,plain,
% 16.08/11.26 (((~v84(constB140, 0)) <=> v123(constB140, 0)) | v84(constB140, 0) | (~v123(constB140, 0))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19737,plain,
% 16.08/11.26 (v84(constB140, 0)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19736, 19735, 19733])).
% 16.08/11.26 tff(19738,plain,
% 16.08/11.26 (((~v84(constB141, 0)) <=> v84(constB140, 0)) | v84(constB141, 0) | (~v84(constB140, 0))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19739,plain,
% 16.08/11.26 (v84(constB141, 0)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19738, 19737, 19723])).
% 16.08/11.26 tff(19740,plain,
% 16.08/11.26 ((((~v84(constB141, 1)) <=> v84(constB140, 1)) | ((~v84(constB141, 2)) <=> v84(constB140, 2)) | ((~v84(constB141, 0)) <=> v84(constB140, 0))) | (~((~v84(constB141, 1)) <=> v84(constB140, 1)))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19741,plain,
% 16.08/11.26 (~((~v84(constB141, 1)) <=> v84(constB140, 1))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19740, 15350])).
% 16.08/11.26 tff(19742,plain,
% 16.08/11.26 ((((~v123(constB140, 2)) <=> v121(constB139, 2)) | ((~v123(constB140, 1)) <=> v121(constB139, 1)) | ((~v123(constB140, 0)) <=> v121(constB139, 0))) | (~((~v123(constB140, 1)) <=> v121(constB139, 1)))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19743,plain,
% 16.08/11.26 (~((~v123(constB140, 1)) <=> v121(constB139, 1))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19742, 15359])).
% 16.08/11.26 tff(19744,plain,
% 16.08/11.26 ((((~v121(constB139, 2)) <=> v124(constB139, 2)) | ((~v121(constB139, 0)) <=> v124(constB139, 0)) | ((~v121(constB139, 1)) <=> v124(constB139, 1))) | (~((~v121(constB139, 1)) <=> v124(constB139, 1)))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19745,plain,
% 16.08/11.26 (~((~v121(constB139, 1)) <=> v124(constB139, 1))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19744, 15373])).
% 16.08/11.26 tff(19746,plain,
% 16.08/11.26 ((v124(constB139, 2) | (~v124(constB139, 0)) | (~v124(constB139, 1))) | v124(constB139, 1)),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19747,plain,
% 16.08/11.26 (v124(constB139, 1)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19746, 19614])).
% 16.08/11.26 tff(19748,plain,
% 16.08/11.26 (((~v121(constB139, 1)) <=> v124(constB139, 1)) | v121(constB139, 1) | (~v124(constB139, 1))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19749,plain,
% 16.08/11.26 (v121(constB139, 1)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19748, 19747, 19745])).
% 16.08/11.26 tff(19750,plain,
% 16.08/11.26 (((~v123(constB140, 1)) <=> v121(constB139, 1)) | v123(constB140, 1) | (~v121(constB139, 1))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19751,plain,
% 16.08/11.26 (v123(constB140, 1)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19750, 19749, 19743])).
% 16.08/11.26 tff(19752,plain,
% 16.08/11.26 ((((~v84(constB140, 2)) <=> v123(constB140, 2)) | ((~v84(constB140, 1)) <=> v123(constB140, 1)) | ((~v84(constB140, 0)) <=> v123(constB140, 0))) | (~((~v84(constB140, 1)) <=> v123(constB140, 1)))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19753,plain,
% 16.08/11.26 (~((~v84(constB140, 1)) <=> v123(constB140, 1))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19752, 19715])).
% 16.08/11.26 tff(19754,plain,
% 16.08/11.26 (((~v84(constB140, 1)) <=> v123(constB140, 1)) | v84(constB140, 1) | (~v123(constB140, 1))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19755,plain,
% 16.08/11.26 (v84(constB140, 1)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19754, 19753, 19751])).
% 16.08/11.26 tff(19756,plain,
% 16.08/11.26 (((~v84(constB141, 1)) <=> v84(constB140, 1)) | v84(constB141, 1) | (~v84(constB140, 1))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19757,plain,
% 16.08/11.26 (v84(constB141, 1)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19756, 19755, 19741])).
% 16.08/11.26 tff(19758,plain,
% 16.08/11.26 ((~(v84(constB141, 2) | (~v84(constB141, 1)) | (~v84(constB141, 0)))) | v84(constB141, 2) | (~v84(constB141, 1)) | (~v84(constB141, 0))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19759,plain,
% 16.08/11.26 (~(v84(constB141, 2) | (~v84(constB141, 1)) | (~v84(constB141, 0)))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19758, 19757, 19739, 19721])).
% 16.08/11.26 tff(19760,plain,
% 16.08/11.26 ((~(v116(constB141) <=> (~(v84(constB141, 2) | (~v84(constB141, 1)) | (~v84(constB141, 0)))))) | v116(constB141) | (v84(constB141, 2) | (~v84(constB141, 1)) | (~v84(constB141, 0)))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19761,plain,
% 16.08/11.26 (v116(constB141)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19760, 19759, 15316])).
% 16.08/11.26 tff(19762,plain,
% 16.08/11.26 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB141)) | (~(v124(constB141, 0) | v124(constB141, 1) | (~v124(constB141, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB141)) | (~(v124(constB141, 0) | v124(constB141, 1) | (~v124(constB141, 2)))))),
% 16.08/11.26 inference(rewrite,[status(thm)],[])).
% 16.08/11.26 tff(19763,plain,
% 16.08/11.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB141)) | (~(v124(constB141, 0) | v124(constB141, 1) | (~v124(constB141, 2)))))),
% 16.08/11.26 inference(quant_inst,[status(thm)],[])).
% 16.08/11.26 tff(19764,plain,
% 16.08/11.26 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB141)) | (~(v124(constB141, 0) | v124(constB141, 1) | (~v124(constB141, 2))))),
% 16.08/11.26 inference(modus_ponens,[status(thm)],[19763, 19762])).
% 16.08/11.26 tff(19765,plain,
% 16.08/11.26 ((~v116(constB141)) | (~(v124(constB141, 0) | v124(constB141, 1) | (~v124(constB141, 2))))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19764, 3309])).
% 16.08/11.26 tff(19766,plain,
% 16.08/11.26 (~(v124(constB141, 0) | v124(constB141, 1) | (~v124(constB141, 2)))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19765, 19761])).
% 16.08/11.26 tff(19767,plain,
% 16.08/11.26 ((v124(constB141, 0) | v124(constB141, 1) | (~v124(constB141, 2))) | v124(constB141, 2)),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19768,plain,
% 16.08/11.26 (v124(constB141, 2)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19767, 19766])).
% 16.08/11.26 tff(19769,plain,
% 16.08/11.26 (((~v121(constB141, 2)) <=> v124(constB141, 2)) | v121(constB141, 2) | (~v124(constB141, 2))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19770,plain,
% 16.08/11.26 (v121(constB141, 2)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19769, 19768, 15314])).
% 16.08/11.26 tff(19771,plain,
% 16.08/11.26 (((~v123(constB142, 2)) <=> v121(constB141, 2)) | v123(constB142, 2) | (~v121(constB141, 2))),
% 16.08/11.26 inference(tautology,[status(thm)],[])).
% 16.08/11.26 tff(19772,plain,
% 16.08/11.26 (v123(constB142, 2)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19771, 19770, 15300])).
% 16.08/11.26 tff(19773,plain,
% 16.08/11.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB141, constB142)) | (v94(constB142) <=> (~((~v95(constB142)) | (~v104(constB142))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB141, constB142)) | (v94(constB142) <=> (~((~v95(constB142)) | (~v104(constB142))))))),
% 16.08/11.26 inference(rewrite,[status(thm)],[])).
% 16.08/11.26 tff(19774,plain,
% 16.08/11.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB141, constB142)) | (v94(constB142) <=> (~((~v95(constB142)) | (~v104(constB142))))))),
% 16.08/11.26 inference(quant_inst,[status(thm)],[])).
% 16.08/11.26 tff(19775,plain,
% 16.08/11.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB141, constB142)) | (v94(constB142) <=> (~((~v95(constB142)) | (~v104(constB142)))))),
% 16.08/11.26 inference(modus_ponens,[status(thm)],[19774, 19773])).
% 16.08/11.26 tff(19776,plain,
% 16.08/11.26 (v94(constB142) <=> (~((~v95(constB142)) | (~v104(constB142))))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19775, 15294, 770])).
% 16.08/11.26 tff(19777,plain,
% 16.08/11.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142))))))),
% 16.08/11.26 inference(rewrite,[status(thm)],[])).
% 16.08/11.26 tff(19778,plain,
% 16.08/11.26 (((~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v96(constB142)) | (~v1(constB142)))))) <=> ((~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142))))))),
% 16.08/11.26 inference(rewrite,[status(thm)],[])).
% 16.08/11.26 tff(19779,plain,
% 16.08/11.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v96(constB142)) | (~v1(constB142))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142)))))))),
% 16.08/11.26 inference(monotonicity,[status(thm)],[19778])).
% 16.08/11.26 tff(19780,plain,
% 16.08/11.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v96(constB142)) | (~v1(constB142))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142))))))),
% 16.08/11.26 inference(transitivity,[status(thm)],[19779, 19777])).
% 16.08/11.26 tff(19781,plain,
% 16.08/11.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v96(constB142)) | (~v1(constB142))))))),
% 16.08/11.26 inference(quant_inst,[status(thm)],[])).
% 16.08/11.26 tff(19782,plain,
% 16.08/11.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142)))))),
% 16.08/11.26 inference(modus_ponens,[status(thm)],[19781, 19780])).
% 16.08/11.26 tff(19783,plain,
% 16.08/11.26 (v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142))))),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19782, 15294, 790])).
% 16.08/11.26 tff(19784,plain,
% 16.08/11.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB141, constB142)) | ((~v96(constB142)) <=> v98(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB141, constB142)) | ((~v96(constB142)) <=> v98(constB142)))),
% 16.08/11.26 inference(rewrite,[status(thm)],[])).
% 16.08/11.26 tff(19785,plain,
% 16.08/11.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB141, constB142)) | ((~v96(constB142)) <=> v98(constB142)))),
% 16.08/11.26 inference(quant_inst,[status(thm)],[])).
% 16.08/11.26 tff(19786,plain,
% 16.08/11.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB141, constB142)) | ((~v96(constB142)) <=> v98(constB142))),
% 16.08/11.26 inference(modus_ponens,[status(thm)],[19785, 19784])).
% 16.08/11.26 tff(19787,plain,
% 16.08/11.26 ((~v96(constB142)) <=> v98(constB142)),
% 16.08/11.26 inference(unit_resolution,[status(thm)],[19786, 15294, 2332])).
% 16.08/11.26 tff(19788,plain,
% 16.08/11.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB141, constB142)) | (v98(constB142) <=> v1(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB141, constB142)) | (v98(constB142) <=> v1(constB141)))),
% 16.08/11.27 inference(rewrite,[status(thm)],[])).
% 16.08/11.27 tff(19789,plain,
% 16.08/11.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB141, constB142)) | (v98(constB142) <=> v1(constB141)))),
% 16.08/11.27 inference(quant_inst,[status(thm)],[])).
% 16.08/11.27 tff(19790,plain,
% 16.08/11.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB141, constB142)) | (v98(constB142) <=> v1(constB141))),
% 16.08/11.27 inference(modus_ponens,[status(thm)],[19789, 19788])).
% 16.08/11.27 tff(19791,plain,
% 16.08/11.27 (v98(constB142) <=> v1(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19790, 15294, 2346])).
% 16.08/11.27 tff(19792,plain,
% 16.08/11.27 ((~(v98(constB142) <=> v1(constB141))) | (~v98(constB142)) | v1(constB141)),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19793,plain,
% 16.08/11.27 ((~(v98(constB142) <=> v1(constB141))) | (~v98(constB142))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19792, 15333])).
% 16.08/11.27 tff(19794,plain,
% 16.08/11.27 (~v98(constB142)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19793, 19791])).
% 16.08/11.27 tff(19795,plain,
% 16.08/11.27 ((~((~v96(constB142)) <=> v98(constB142))) | v96(constB142) | v98(constB142)),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19796,plain,
% 16.08/11.27 (v96(constB142)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19795, 19794, 19787])).
% 16.08/11.27 tff(19797,plain,
% 16.08/11.27 (v1(constB142) <=> v1(constB142)),
% 16.08/11.27 inference(rewrite,[status(thm)],[])).
% 16.08/11.27 tff(19798,axiom,(v1(constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_142')).
% 16.08/11.27 tff(19799,plain,
% 16.08/11.27 (v1(constB142)),
% 16.08/11.27 inference(modus_ponens,[status(thm)],[19798, 19797])).
% 16.08/11.27 tff(19800,plain,
% 16.08/11.27 ((~((~v1(constB142)) | (~v96(constB142)))) | (~v1(constB142)) | (~v96(constB142))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19801,plain,
% 16.08/11.27 ((~((~v1(constB142)) | (~v96(constB142)))) | (~v96(constB142))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19800, 19799])).
% 16.08/11.27 tff(19802,plain,
% 16.08/11.27 (~((~v1(constB142)) | (~v96(constB142)))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19801, 19796])).
% 16.08/11.27 tff(19803,plain,
% 16.08/11.27 ((~(v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142)))))) | v95(constB142) | ((~v1(constB142)) | (~v96(constB142)))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19804,plain,
% 16.08/11.27 (v95(constB142)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19803, 19802, 19783])).
% 16.08/11.27 tff(19805,plain,
% 16.08/11.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB141, constB142)) | (v104(constB142) <=> v102(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB141, constB142)) | (v104(constB142) <=> v102(constB141)))),
% 16.08/11.27 inference(rewrite,[status(thm)],[])).
% 16.08/11.27 tff(19806,plain,
% 16.08/11.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB141, constB142)) | (v104(constB142) <=> v102(constB141)))),
% 16.08/11.27 inference(quant_inst,[status(thm)],[])).
% 16.08/11.27 tff(19807,plain,
% 16.08/11.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB141, constB142)) | (v104(constB142) <=> v102(constB141))),
% 16.08/11.27 inference(modus_ponens,[status(thm)],[19806, 19805])).
% 16.08/11.27 tff(19808,plain,
% 16.08/11.27 (v104(constB142) <=> v102(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19807, 15294, 2373])).
% 16.08/11.27 tff(19809,plain,
% 16.08/11.27 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB141) <=> (v105(constB141) | v106(constB141)))),
% 16.08/11.27 inference(quant_inst,[status(thm)],[])).
% 16.08/11.27 tff(19810,plain,
% 16.08/11.27 (v102(constB141) <=> (v105(constB141) | v106(constB141))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19809, 2384])).
% 16.08/11.27 tff(19811,plain,
% 16.08/11.27 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB141) <=> (~((~v107(constB141)) | (~v120(constB141)))))),
% 16.08/11.27 inference(quant_inst,[status(thm)],[])).
% 16.08/11.27 tff(19812,plain,
% 16.08/11.27 (v106(constB141) <=> (~((~v107(constB141)) | (~v120(constB141))))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19811, 2396])).
% 16.08/11.27 tff(19813,plain,
% 16.08/11.27 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB141) <=> (v108(constB141) | v119(constB141)))),
% 16.08/11.27 inference(quant_inst,[status(thm)],[])).
% 16.08/11.27 tff(19814,plain,
% 16.08/11.27 (v107(constB141) <=> (v108(constB141) | v119(constB141))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19813, 2405])).
% 16.08/11.27 tff(19815,plain,
% 16.08/11.27 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB141) <=> (v109(constB141) | v118(constB141)))),
% 16.08/11.27 inference(quant_inst,[status(thm)],[])).
% 16.08/11.27 tff(19816,plain,
% 16.08/11.27 (v108(constB141) <=> (v109(constB141) | v118(constB141))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19815, 2414])).
% 16.08/11.27 tff(19817,plain,
% 16.08/11.27 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB141) <=> (v110(constB141) | v117(constB141)))),
% 16.08/11.27 inference(quant_inst,[status(thm)],[])).
% 16.08/11.27 tff(19818,plain,
% 16.08/11.27 (v109(constB141) <=> (v110(constB141) | v117(constB141))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19817, 2423])).
% 16.08/11.27 tff(19819,plain,
% 16.08/11.27 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB141) <=> (v111(constB141) | v116(constB141)))),
% 16.08/11.27 inference(quant_inst,[status(thm)],[])).
% 16.08/11.27 tff(19820,plain,
% 16.08/11.27 (v110(constB141) <=> (v111(constB141) | v116(constB141))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19819, 2432])).
% 16.08/11.27 tff(19821,plain,
% 16.08/11.27 ((v111(constB141) | v116(constB141)) | (~v116(constB141))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19822,plain,
% 16.08/11.27 (v111(constB141) | v116(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19821, 19761])).
% 16.08/11.27 tff(19823,plain,
% 16.08/11.27 ((~(v110(constB141) <=> (v111(constB141) | v116(constB141)))) | v110(constB141) | (~(v111(constB141) | v116(constB141)))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19824,plain,
% 16.08/11.27 (v110(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19823, 19822, 19820])).
% 16.08/11.27 tff(19825,plain,
% 16.08/11.27 ((v110(constB141) | v117(constB141)) | (~v110(constB141))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19826,plain,
% 16.08/11.27 (v110(constB141) | v117(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19825, 19824])).
% 16.08/11.27 tff(19827,plain,
% 16.08/11.27 ((~(v109(constB141) <=> (v110(constB141) | v117(constB141)))) | v109(constB141) | (~(v110(constB141) | v117(constB141)))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19828,plain,
% 16.08/11.27 (v109(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19827, 19826, 19818])).
% 16.08/11.27 tff(19829,plain,
% 16.08/11.27 ((v109(constB141) | v118(constB141)) | (~v109(constB141))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19830,plain,
% 16.08/11.27 (v109(constB141) | v118(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19829, 19828])).
% 16.08/11.27 tff(19831,plain,
% 16.08/11.27 ((~(v108(constB141) <=> (v109(constB141) | v118(constB141)))) | v108(constB141) | (~(v109(constB141) | v118(constB141)))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19832,plain,
% 16.08/11.27 (v108(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19831, 19830, 19816])).
% 16.08/11.27 tff(19833,plain,
% 16.08/11.27 ((v108(constB141) | v119(constB141)) | (~v108(constB141))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19834,plain,
% 16.08/11.27 (v108(constB141) | v119(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19833, 19832])).
% 16.08/11.27 tff(19835,plain,
% 16.08/11.27 ((~(v107(constB141) <=> (v108(constB141) | v119(constB141)))) | v107(constB141) | (~(v108(constB141) | v119(constB141)))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19836,plain,
% 16.08/11.27 (v107(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19835, 19834, 19814])).
% 16.08/11.27 tff(19837,plain,
% 16.08/11.27 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB141)) <=> v105(constB141))),
% 16.08/11.27 inference(quant_inst,[status(thm)],[])).
% 16.08/11.27 tff(19838,plain,
% 16.08/11.27 ((~v120(constB141)) <=> v105(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19837, 2484])).
% 16.08/11.27 tff(19839,plain,
% 16.08/11.27 ((~((~v120(constB141)) <=> v105(constB141))) | v120(constB141) | v105(constB141)),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19840,plain,
% 16.08/11.27 ((~((~v120(constB141)) <=> v105(constB141))) | v120(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19839, 15307])).
% 16.08/11.27 tff(19841,plain,
% 16.08/11.27 (v120(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19840, 19838])).
% 16.08/11.27 tff(19842,plain,
% 16.08/11.27 ((~((~v107(constB141)) | (~v120(constB141)))) | (~v107(constB141)) | (~v120(constB141))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19843,plain,
% 16.08/11.27 ((~((~v107(constB141)) | (~v120(constB141)))) | (~v107(constB141))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19842, 19841])).
% 16.08/11.27 tff(19844,plain,
% 16.08/11.27 (~((~v107(constB141)) | (~v120(constB141)))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19843, 19836])).
% 16.08/11.27 tff(19845,plain,
% 16.08/11.27 ((~(v106(constB141) <=> (~((~v107(constB141)) | (~v120(constB141)))))) | v106(constB141) | ((~v107(constB141)) | (~v120(constB141)))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19846,plain,
% 16.08/11.27 (v106(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19845, 19844, 19812])).
% 16.08/11.27 tff(19847,plain,
% 16.08/11.27 ((v105(constB141) | v106(constB141)) | (~v106(constB141))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19848,plain,
% 16.08/11.27 (v105(constB141) | v106(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19847, 19846])).
% 16.08/11.27 tff(19849,plain,
% 16.08/11.27 ((~(v102(constB141) <=> (v105(constB141) | v106(constB141)))) | v102(constB141) | (~(v105(constB141) | v106(constB141)))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19850,plain,
% 16.08/11.27 (v102(constB141)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19849, 19848, 19810])).
% 16.08/11.27 tff(19851,plain,
% 16.08/11.27 ((~(v104(constB142) <=> v102(constB141))) | v104(constB142) | (~v102(constB141))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19852,plain,
% 16.08/11.27 (v104(constB142)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19851, 19850, 19808])).
% 16.08/11.27 tff(19853,plain,
% 16.08/11.27 ((~((~v95(constB142)) | (~v104(constB142)))) | (~v95(constB142)) | (~v104(constB142))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19854,plain,
% 16.08/11.27 (~((~v95(constB142)) | (~v104(constB142)))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19853, 19852, 19804])).
% 16.08/11.27 tff(19855,plain,
% 16.08/11.27 ((~(v94(constB142) <=> (~((~v95(constB142)) | (~v104(constB142)))))) | v94(constB142) | ((~v95(constB142)) | (~v104(constB142)))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19856,plain,
% 16.08/11.27 (v94(constB142)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19855, 19854, 19776])).
% 16.08/11.27 tff(19857,plain,
% 16.08/11.27 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB142)) | (~(((~v84(constB142, 0)) <=> v123(constB142, 0)) | ((~v84(constB142, 2)) <=> v123(constB142, 2)) | ((~v84(constB142, 1)) <=> v123(constB142, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB142)) | (~(((~v84(constB142, 0)) <=> v123(constB142, 0)) | ((~v84(constB142, 2)) <=> v123(constB142, 2)) | ((~v84(constB142, 1)) <=> v123(constB142, 1)))))),
% 16.08/11.27 inference(rewrite,[status(thm)],[])).
% 16.08/11.27 tff(19858,plain,
% 16.08/11.27 (((~v94(constB142)) | (~(((~v84(constB142, 2)) <=> v123(constB142, 2)) | ((~v84(constB142, 1)) <=> v123(constB142, 1)) | ((~v84(constB142, 0)) <=> v123(constB142, 0))))) <=> ((~v94(constB142)) | (~(((~v84(constB142, 0)) <=> v123(constB142, 0)) | ((~v84(constB142, 2)) <=> v123(constB142, 2)) | ((~v84(constB142, 1)) <=> v123(constB142, 1)))))),
% 16.08/11.27 inference(rewrite,[status(thm)],[])).
% 16.08/11.27 tff(19859,plain,
% 16.08/11.27 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB142)) | (~(((~v84(constB142, 2)) <=> v123(constB142, 2)) | ((~v84(constB142, 1)) <=> v123(constB142, 1)) | ((~v84(constB142, 0)) <=> v123(constB142, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB142)) | (~(((~v84(constB142, 0)) <=> v123(constB142, 0)) | ((~v84(constB142, 2)) <=> v123(constB142, 2)) | ((~v84(constB142, 1)) <=> v123(constB142, 1))))))),
% 16.08/11.27 inference(monotonicity,[status(thm)],[19858])).
% 16.08/11.27 tff(19860,plain,
% 16.08/11.27 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB142)) | (~(((~v84(constB142, 2)) <=> v123(constB142, 2)) | ((~v84(constB142, 1)) <=> v123(constB142, 1)) | ((~v84(constB142, 0)) <=> v123(constB142, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB142)) | (~(((~v84(constB142, 0)) <=> v123(constB142, 0)) | ((~v84(constB142, 2)) <=> v123(constB142, 2)) | ((~v84(constB142, 1)) <=> v123(constB142, 1)))))),
% 16.08/11.27 inference(transitivity,[status(thm)],[19859, 19857])).
% 16.08/11.27 tff(19861,plain,
% 16.08/11.27 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB142)) | (~(((~v84(constB142, 2)) <=> v123(constB142, 2)) | ((~v84(constB142, 1)) <=> v123(constB142, 1)) | ((~v84(constB142, 0)) <=> v123(constB142, 0)))))),
% 16.08/11.27 inference(quant_inst,[status(thm)],[])).
% 16.08/11.27 tff(19862,plain,
% 16.08/11.27 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB142)) | (~(((~v84(constB142, 0)) <=> v123(constB142, 0)) | ((~v84(constB142, 2)) <=> v123(constB142, 2)) | ((~v84(constB142, 1)) <=> v123(constB142, 1))))),
% 16.08/11.27 inference(modus_ponens,[status(thm)],[19861, 19860])).
% 16.08/11.27 tff(19863,plain,
% 16.08/11.27 ((~v94(constB142)) | (~(((~v84(constB142, 0)) <=> v123(constB142, 0)) | ((~v84(constB142, 2)) <=> v123(constB142, 2)) | ((~v84(constB142, 1)) <=> v123(constB142, 1))))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19862, 2517])).
% 16.08/11.27 tff(19864,plain,
% 16.08/11.27 (~(((~v84(constB142, 0)) <=> v123(constB142, 0)) | ((~v84(constB142, 2)) <=> v123(constB142, 2)) | ((~v84(constB142, 1)) <=> v123(constB142, 1)))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19863, 19856])).
% 16.08/11.27 tff(19865,plain,
% 16.08/11.27 ((((~v84(constB142, 0)) <=> v123(constB142, 0)) | ((~v84(constB142, 2)) <=> v123(constB142, 2)) | ((~v84(constB142, 1)) <=> v123(constB142, 1))) | (~((~v84(constB142, 2)) <=> v123(constB142, 2)))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19866,plain,
% 16.08/11.27 (~((~v84(constB142, 2)) <=> v123(constB142, 2))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19865, 19864])).
% 16.08/11.27 tff(19867,plain,
% 16.08/11.27 (((~v84(constB142, 2)) <=> v123(constB142, 2)) | v84(constB142, 2) | (~v123(constB142, 2))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19868,plain,
% 16.08/11.27 (v84(constB142, 2)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19867, 19866, 19772])).
% 16.08/11.27 tff(19869,plain,
% 16.08/11.27 (((~v84(constB143, 2)) <=> v84(constB142, 2)) | v84(constB143, 2) | (~v84(constB142, 2))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19870,plain,
% 16.08/11.27 (v84(constB143, 2)),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19869, 19868, 15291])).
% 16.08/11.27 tff(19871,plain,
% 16.08/11.27 ((((~v84(constB143, 1)) <=> v84(constB142, 1)) | ((~v84(constB143, 2)) <=> v84(constB142, 2)) | ((~v84(constB143, 0)) <=> v84(constB142, 0))) | (~((~v84(constB143, 0)) <=> v84(constB142, 0)))),
% 16.08/11.27 inference(tautology,[status(thm)],[])).
% 16.08/11.27 tff(19872,plain,
% 16.08/11.27 (~((~v84(constB143, 0)) <=> v84(constB142, 0))),
% 16.08/11.27 inference(unit_resolution,[status(thm)],[19871, 15289])).
% 16.08/11.27 tff(19873,plain,
% 16.08/11.27 ((((~v123(constB142, 2)) <=> v121(constB141, 2)) | ((~v123(constB142, 1)) <=> v121(constB141, 1)) | ((~v123(constB142, 0)) <=> v121(constB141, 0))) | (~((~v123(constB142, 0)) <=> v121(constB141, 0)))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19874,plain,
% 16.14/11.28 (~((~v123(constB142, 0)) <=> v121(constB141, 0))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19873, 15298])).
% 16.14/11.28 tff(19875,plain,
% 16.14/11.28 ((((~v121(constB141, 2)) <=> v124(constB141, 2)) | ((~v121(constB141, 0)) <=> v124(constB141, 0)) | ((~v121(constB141, 1)) <=> v124(constB141, 1))) | (~((~v121(constB141, 0)) <=> v124(constB141, 0)))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19876,plain,
% 16.14/11.28 (~((~v121(constB141, 0)) <=> v124(constB141, 0))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19875, 15312])).
% 16.14/11.28 tff(19877,plain,
% 16.14/11.28 ((v124(constB141, 0) | v124(constB141, 1) | (~v124(constB141, 2))) | (~v124(constB141, 0))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19878,plain,
% 16.14/11.28 (~v124(constB141, 0)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19877, 19766])).
% 16.14/11.28 tff(19879,plain,
% 16.14/11.28 (((~v121(constB141, 0)) <=> v124(constB141, 0)) | (~v121(constB141, 0)) | v124(constB141, 0)),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19880,plain,
% 16.14/11.28 (~v121(constB141, 0)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19879, 19878, 19876])).
% 16.14/11.28 tff(19881,plain,
% 16.14/11.28 (((~v123(constB142, 0)) <=> v121(constB141, 0)) | (~v123(constB142, 0)) | v121(constB141, 0)),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19882,plain,
% 16.14/11.28 (~v123(constB142, 0)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19881, 19880, 19874])).
% 16.14/11.28 tff(19883,plain,
% 16.14/11.28 ((((~v84(constB142, 0)) <=> v123(constB142, 0)) | ((~v84(constB142, 2)) <=> v123(constB142, 2)) | ((~v84(constB142, 1)) <=> v123(constB142, 1))) | (~((~v84(constB142, 0)) <=> v123(constB142, 0)))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19884,plain,
% 16.14/11.28 (~((~v84(constB142, 0)) <=> v123(constB142, 0))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19883, 19864])).
% 16.14/11.28 tff(19885,plain,
% 16.14/11.28 (((~v84(constB142, 0)) <=> v123(constB142, 0)) | (~v84(constB142, 0)) | v123(constB142, 0)),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19886,plain,
% 16.14/11.28 (~v84(constB142, 0)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19885, 19884, 19882])).
% 16.14/11.28 tff(19887,plain,
% 16.14/11.28 (((~v84(constB143, 0)) <=> v84(constB142, 0)) | (~v84(constB143, 0)) | v84(constB142, 0)),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19888,plain,
% 16.14/11.28 (~v84(constB143, 0)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19887, 19886, 19872])).
% 16.14/11.28 tff(19889,plain,
% 16.14/11.28 ((((~v84(constB143, 1)) <=> v84(constB142, 1)) | ((~v84(constB143, 2)) <=> v84(constB142, 2)) | ((~v84(constB143, 0)) <=> v84(constB142, 0))) | (~((~v84(constB143, 1)) <=> v84(constB142, 1)))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19890,plain,
% 16.14/11.28 (~((~v84(constB143, 1)) <=> v84(constB142, 1))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19889, 15289])).
% 16.14/11.28 tff(19891,plain,
% 16.14/11.28 ((((~v123(constB142, 2)) <=> v121(constB141, 2)) | ((~v123(constB142, 1)) <=> v121(constB141, 1)) | ((~v123(constB142, 0)) <=> v121(constB141, 0))) | (~((~v123(constB142, 1)) <=> v121(constB141, 1)))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19892,plain,
% 16.14/11.28 (~((~v123(constB142, 1)) <=> v121(constB141, 1))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19891, 15298])).
% 16.14/11.28 tff(19893,plain,
% 16.14/11.28 ((((~v121(constB141, 2)) <=> v124(constB141, 2)) | ((~v121(constB141, 0)) <=> v124(constB141, 0)) | ((~v121(constB141, 1)) <=> v124(constB141, 1))) | (~((~v121(constB141, 1)) <=> v124(constB141, 1)))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19894,plain,
% 16.14/11.28 (~((~v121(constB141, 1)) <=> v124(constB141, 1))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19893, 15312])).
% 16.14/11.28 tff(19895,plain,
% 16.14/11.28 ((v124(constB141, 0) | v124(constB141, 1) | (~v124(constB141, 2))) | (~v124(constB141, 1))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19896,plain,
% 16.14/11.28 (~v124(constB141, 1)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19895, 19766])).
% 16.14/11.28 tff(19897,plain,
% 16.14/11.28 (((~v121(constB141, 1)) <=> v124(constB141, 1)) | (~v121(constB141, 1)) | v124(constB141, 1)),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19898,plain,
% 16.14/11.28 (~v121(constB141, 1)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19897, 19896, 19894])).
% 16.14/11.28 tff(19899,plain,
% 16.14/11.28 (((~v123(constB142, 1)) <=> v121(constB141, 1)) | (~v123(constB142, 1)) | v121(constB141, 1)),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19900,plain,
% 16.14/11.28 (~v123(constB142, 1)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19899, 19898, 19892])).
% 16.14/11.28 tff(19901,plain,
% 16.14/11.28 ((((~v84(constB142, 0)) <=> v123(constB142, 0)) | ((~v84(constB142, 2)) <=> v123(constB142, 2)) | ((~v84(constB142, 1)) <=> v123(constB142, 1))) | (~((~v84(constB142, 1)) <=> v123(constB142, 1)))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19902,plain,
% 16.14/11.28 (~((~v84(constB142, 1)) <=> v123(constB142, 1))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19901, 19864])).
% 16.14/11.28 tff(19903,plain,
% 16.14/11.28 (((~v84(constB142, 1)) <=> v123(constB142, 1)) | (~v84(constB142, 1)) | v123(constB142, 1)),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19904,plain,
% 16.14/11.28 (~v84(constB142, 1)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19903, 19902, 19900])).
% 16.14/11.28 tff(19905,plain,
% 16.14/11.28 (((~v84(constB143, 1)) <=> v84(constB142, 1)) | (~v84(constB143, 1)) | v84(constB142, 1)),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19906,plain,
% 16.14/11.28 (~v84(constB143, 1)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19905, 19904, 19890])).
% 16.14/11.28 tff(19907,plain,
% 16.14/11.28 ((~(v84(constB143, 1) | v84(constB143, 0) | (~v84(constB143, 2)))) | v84(constB143, 1) | v84(constB143, 0) | (~v84(constB143, 2))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19908,plain,
% 16.14/11.28 (~(v84(constB143, 1) | v84(constB143, 0) | (~v84(constB143, 2)))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19907, 19906, 19888, 19870])).
% 16.14/11.28 tff(19909,plain,
% 16.14/11.28 ((~(v117(constB143) <=> (~(v84(constB143, 1) | v84(constB143, 0) | (~v84(constB143, 2)))))) | v117(constB143) | (v84(constB143, 1) | v84(constB143, 0) | (~v84(constB143, 2)))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19910,plain,
% 16.14/11.28 (v117(constB143)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19909, 19908, 15255])).
% 16.14/11.28 tff(19911,plain,
% 16.14/11.28 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB143)) | (~(v124(constB143, 0) | (~v124(constB143, 2)) | (~v124(constB143, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB143)) | (~(v124(constB143, 0) | (~v124(constB143, 2)) | (~v124(constB143, 1)))))),
% 16.14/11.28 inference(rewrite,[status(thm)],[])).
% 16.14/11.28 tff(19912,plain,
% 16.14/11.28 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB143)) | (~(v124(constB143, 0) | (~v124(constB143, 2)) | (~v124(constB143, 1)))))),
% 16.14/11.28 inference(quant_inst,[status(thm)],[])).
% 16.14/11.28 tff(19913,plain,
% 16.14/11.28 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB143)) | (~(v124(constB143, 0) | (~v124(constB143, 2)) | (~v124(constB143, 1))))),
% 16.14/11.28 inference(modus_ponens,[status(thm)],[19912, 19911])).
% 16.14/11.28 tff(19914,plain,
% 16.14/11.28 ((~v117(constB143)) | (~(v124(constB143, 0) | (~v124(constB143, 2)) | (~v124(constB143, 1))))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19913, 2584])).
% 16.14/11.28 tff(19915,plain,
% 16.14/11.28 (~(v124(constB143, 0) | (~v124(constB143, 2)) | (~v124(constB143, 1)))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19914, 19910])).
% 16.14/11.28 tff(19916,plain,
% 16.14/11.28 ((v124(constB143, 0) | (~v124(constB143, 2)) | (~v124(constB143, 1))) | v124(constB143, 2)),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19917,plain,
% 16.14/11.28 (v124(constB143, 2)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19916, 19915])).
% 16.14/11.28 tff(19918,plain,
% 16.14/11.28 (((~v121(constB143, 2)) <=> v124(constB143, 2)) | v121(constB143, 2) | (~v124(constB143, 2))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19919,plain,
% 16.14/11.28 (v121(constB143, 2)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19918, 19917, 15248])).
% 16.14/11.28 tff(19920,plain,
% 16.14/11.28 (((~v123(constB144, 2)) <=> v121(constB143, 2)) | v123(constB144, 2) | (~v121(constB143, 2))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19921,plain,
% 16.14/11.28 (v123(constB144, 2)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19920, 19919, 15234])).
% 16.14/11.28 tff(19922,plain,
% 16.14/11.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB143, constB144)) | (v94(constB144) <=> (~((~v95(constB144)) | (~v104(constB144))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB143, constB144)) | (v94(constB144) <=> (~((~v95(constB144)) | (~v104(constB144))))))),
% 16.14/11.28 inference(rewrite,[status(thm)],[])).
% 16.14/11.28 tff(19923,plain,
% 16.14/11.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB143, constB144)) | (v94(constB144) <=> (~((~v95(constB144)) | (~v104(constB144))))))),
% 16.14/11.28 inference(quant_inst,[status(thm)],[])).
% 16.14/11.28 tff(19924,plain,
% 16.14/11.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB143, constB144)) | (v94(constB144) <=> (~((~v95(constB144)) | (~v104(constB144)))))),
% 16.14/11.28 inference(modus_ponens,[status(thm)],[19923, 19922])).
% 16.14/11.28 tff(19925,plain,
% 16.14/11.28 (v94(constB144) <=> (~((~v95(constB144)) | (~v104(constB144))))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19924, 15228, 770])).
% 16.14/11.28 tff(19926,plain,
% 16.14/11.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144))))))),
% 16.14/11.28 inference(rewrite,[status(thm)],[])).
% 16.14/11.28 tff(19927,plain,
% 16.14/11.28 (((~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v96(constB144)) | (~v1(constB144)))))) <=> ((~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144))))))),
% 16.14/11.28 inference(rewrite,[status(thm)],[])).
% 16.14/11.28 tff(19928,plain,
% 16.14/11.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v96(constB144)) | (~v1(constB144))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144)))))))),
% 16.14/11.28 inference(monotonicity,[status(thm)],[19927])).
% 16.14/11.28 tff(19929,plain,
% 16.14/11.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v96(constB144)) | (~v1(constB144))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144))))))),
% 16.14/11.28 inference(transitivity,[status(thm)],[19928, 19926])).
% 16.14/11.28 tff(19930,plain,
% 16.14/11.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v96(constB144)) | (~v1(constB144))))))),
% 16.14/11.28 inference(quant_inst,[status(thm)],[])).
% 16.14/11.28 tff(19931,plain,
% 16.14/11.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144)))))),
% 16.14/11.28 inference(modus_ponens,[status(thm)],[19930, 19929])).
% 16.14/11.28 tff(19932,plain,
% 16.14/11.28 (v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144))))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19931, 15228, 790])).
% 16.14/11.28 tff(19933,plain,
% 16.14/11.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB143, constB144)) | ((~v96(constB144)) <=> v98(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB143, constB144)) | ((~v96(constB144)) <=> v98(constB144)))),
% 16.14/11.28 inference(rewrite,[status(thm)],[])).
% 16.14/11.28 tff(19934,plain,
% 16.14/11.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB143, constB144)) | ((~v96(constB144)) <=> v98(constB144)))),
% 16.14/11.28 inference(quant_inst,[status(thm)],[])).
% 16.14/11.28 tff(19935,plain,
% 16.14/11.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB143, constB144)) | ((~v96(constB144)) <=> v98(constB144))),
% 16.14/11.28 inference(modus_ponens,[status(thm)],[19934, 19933])).
% 16.14/11.28 tff(19936,plain,
% 16.14/11.28 ((~v96(constB144)) <=> v98(constB144)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19935, 15228, 2332])).
% 16.14/11.28 tff(19937,plain,
% 16.14/11.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB143, constB144)) | (v98(constB144) <=> v1(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB143, constB144)) | (v98(constB144) <=> v1(constB143)))),
% 16.14/11.28 inference(rewrite,[status(thm)],[])).
% 16.14/11.28 tff(19938,plain,
% 16.14/11.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB143, constB144)) | (v98(constB144) <=> v1(constB143)))),
% 16.14/11.28 inference(quant_inst,[status(thm)],[])).
% 16.14/11.28 tff(19939,plain,
% 16.14/11.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB143, constB144)) | (v98(constB144) <=> v1(constB143))),
% 16.14/11.28 inference(modus_ponens,[status(thm)],[19938, 19937])).
% 16.14/11.28 tff(19940,plain,
% 16.14/11.28 (v98(constB144) <=> v1(constB143)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19939, 15228, 2346])).
% 16.14/11.28 tff(19941,plain,
% 16.14/11.28 ((~(v98(constB144) <=> v1(constB143))) | (~v98(constB144)) | v1(constB143)),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19942,plain,
% 16.14/11.28 ((~(v98(constB144) <=> v1(constB143))) | (~v98(constB144))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19941, 15272])).
% 16.14/11.28 tff(19943,plain,
% 16.14/11.28 (~v98(constB144)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19942, 19940])).
% 16.14/11.28 tff(19944,plain,
% 16.14/11.28 ((~((~v96(constB144)) <=> v98(constB144))) | v96(constB144) | v98(constB144)),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19945,plain,
% 16.14/11.28 (v96(constB144)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19944, 19943, 19936])).
% 16.14/11.28 tff(19946,plain,
% 16.14/11.28 (v1(constB144) <=> v1(constB144)),
% 16.14/11.28 inference(rewrite,[status(thm)],[])).
% 16.14/11.28 tff(19947,axiom,(v1(constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_144')).
% 16.14/11.28 tff(19948,plain,
% 16.14/11.28 (v1(constB144)),
% 16.14/11.28 inference(modus_ponens,[status(thm)],[19947, 19946])).
% 16.14/11.28 tff(19949,plain,
% 16.14/11.28 ((~((~v1(constB144)) | (~v96(constB144)))) | (~v1(constB144)) | (~v96(constB144))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19950,plain,
% 16.14/11.28 ((~((~v1(constB144)) | (~v96(constB144)))) | (~v96(constB144))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19949, 19948])).
% 16.14/11.28 tff(19951,plain,
% 16.14/11.28 (~((~v1(constB144)) | (~v96(constB144)))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19950, 19945])).
% 16.14/11.28 tff(19952,plain,
% 16.14/11.28 ((~(v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144)))))) | v95(constB144) | ((~v1(constB144)) | (~v96(constB144)))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19953,plain,
% 16.14/11.28 (v95(constB144)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19952, 19951, 19932])).
% 16.14/11.28 tff(19954,plain,
% 16.14/11.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB143, constB144)) | (v104(constB144) <=> v102(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB143, constB144)) | (v104(constB144) <=> v102(constB143)))),
% 16.14/11.28 inference(rewrite,[status(thm)],[])).
% 16.14/11.28 tff(19955,plain,
% 16.14/11.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB143, constB144)) | (v104(constB144) <=> v102(constB143)))),
% 16.14/11.28 inference(quant_inst,[status(thm)],[])).
% 16.14/11.28 tff(19956,plain,
% 16.14/11.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB143, constB144)) | (v104(constB144) <=> v102(constB143))),
% 16.14/11.28 inference(modus_ponens,[status(thm)],[19955, 19954])).
% 16.14/11.28 tff(19957,plain,
% 16.14/11.28 (v104(constB144) <=> v102(constB143)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19956, 15228, 2373])).
% 16.14/11.28 tff(19958,plain,
% 16.14/11.28 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB143) <=> (v105(constB143) | v106(constB143)))),
% 16.14/11.28 inference(quant_inst,[status(thm)],[])).
% 16.14/11.28 tff(19959,plain,
% 16.14/11.28 (v102(constB143) <=> (v105(constB143) | v106(constB143))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19958, 2384])).
% 16.14/11.28 tff(19960,plain,
% 16.14/11.28 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB143) <=> (~((~v107(constB143)) | (~v120(constB143)))))),
% 16.14/11.28 inference(quant_inst,[status(thm)],[])).
% 16.14/11.28 tff(19961,plain,
% 16.14/11.28 (v106(constB143) <=> (~((~v107(constB143)) | (~v120(constB143))))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19960, 2396])).
% 16.14/11.28 tff(19962,plain,
% 16.14/11.28 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB143) <=> (v108(constB143) | v119(constB143)))),
% 16.14/11.28 inference(quant_inst,[status(thm)],[])).
% 16.14/11.28 tff(19963,plain,
% 16.14/11.28 (v107(constB143) <=> (v108(constB143) | v119(constB143))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19962, 2405])).
% 16.14/11.28 tff(19964,plain,
% 16.14/11.28 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB143) <=> (v109(constB143) | v118(constB143)))),
% 16.14/11.28 inference(quant_inst,[status(thm)],[])).
% 16.14/11.28 tff(19965,plain,
% 16.14/11.28 (v108(constB143) <=> (v109(constB143) | v118(constB143))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19964, 2414])).
% 16.14/11.28 tff(19966,plain,
% 16.14/11.28 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB143) <=> (v110(constB143) | v117(constB143)))),
% 16.14/11.28 inference(quant_inst,[status(thm)],[])).
% 16.14/11.28 tff(19967,plain,
% 16.14/11.28 (v109(constB143) <=> (v110(constB143) | v117(constB143))),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19966, 2423])).
% 16.14/11.28 tff(19968,plain,
% 16.14/11.28 ((v110(constB143) | v117(constB143)) | (~v117(constB143))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19969,plain,
% 16.14/11.28 (v110(constB143) | v117(constB143)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19968, 19910])).
% 16.14/11.28 tff(19970,plain,
% 16.14/11.28 ((~(v109(constB143) <=> (v110(constB143) | v117(constB143)))) | v109(constB143) | (~(v110(constB143) | v117(constB143)))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19971,plain,
% 16.14/11.28 (v109(constB143)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19970, 19969, 19967])).
% 16.14/11.28 tff(19972,plain,
% 16.14/11.28 ((v109(constB143) | v118(constB143)) | (~v109(constB143))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19973,plain,
% 16.14/11.28 (v109(constB143) | v118(constB143)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19972, 19971])).
% 16.14/11.28 tff(19974,plain,
% 16.14/11.28 ((~(v108(constB143) <=> (v109(constB143) | v118(constB143)))) | v108(constB143) | (~(v109(constB143) | v118(constB143)))),
% 16.14/11.28 inference(tautology,[status(thm)],[])).
% 16.14/11.28 tff(19975,plain,
% 16.14/11.28 (v108(constB143)),
% 16.14/11.28 inference(unit_resolution,[status(thm)],[19974, 19973, 19965])).
% 16.14/11.28 tff(19976,plain,
% 16.14/11.28 ((v108(constB143) | v119(constB143)) | (~v108(constB143))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(19977,plain,
% 16.14/11.29 (v108(constB143) | v119(constB143)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[19976, 19975])).
% 16.14/11.29 tff(19978,plain,
% 16.14/11.29 ((~(v107(constB143) <=> (v108(constB143) | v119(constB143)))) | v107(constB143) | (~(v108(constB143) | v119(constB143)))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(19979,plain,
% 16.14/11.29 (v107(constB143)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[19978, 19977, 19963])).
% 16.14/11.29 tff(19980,plain,
% 16.14/11.29 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB143)) <=> v105(constB143))),
% 16.14/11.29 inference(quant_inst,[status(thm)],[])).
% 16.14/11.29 tff(19981,plain,
% 16.14/11.29 ((~v120(constB143)) <=> v105(constB143)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[19980, 2484])).
% 16.14/11.29 tff(19982,plain,
% 16.14/11.29 ((~((~v120(constB143)) <=> v105(constB143))) | v120(constB143) | v105(constB143)),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(19983,plain,
% 16.14/11.29 ((~((~v120(constB143)) <=> v105(constB143))) | v120(constB143)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[19982, 15241])).
% 16.14/11.29 tff(19984,plain,
% 16.14/11.29 (v120(constB143)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[19983, 19981])).
% 16.14/11.29 tff(19985,plain,
% 16.14/11.29 ((~((~v107(constB143)) | (~v120(constB143)))) | (~v107(constB143)) | (~v120(constB143))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(19986,plain,
% 16.14/11.29 ((~((~v107(constB143)) | (~v120(constB143)))) | (~v107(constB143))),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[19985, 19984])).
% 16.14/11.29 tff(19987,plain,
% 16.14/11.29 (~((~v107(constB143)) | (~v120(constB143)))),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[19986, 19979])).
% 16.14/11.29 tff(19988,plain,
% 16.14/11.29 ((~(v106(constB143) <=> (~((~v107(constB143)) | (~v120(constB143)))))) | v106(constB143) | ((~v107(constB143)) | (~v120(constB143)))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(19989,plain,
% 16.14/11.29 (v106(constB143)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[19988, 19987, 19961])).
% 16.14/11.29 tff(19990,plain,
% 16.14/11.29 ((v105(constB143) | v106(constB143)) | (~v106(constB143))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(19991,plain,
% 16.14/11.29 (v105(constB143) | v106(constB143)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[19990, 19989])).
% 16.14/11.29 tff(19992,plain,
% 16.14/11.29 ((~(v102(constB143) <=> (v105(constB143) | v106(constB143)))) | v102(constB143) | (~(v105(constB143) | v106(constB143)))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(19993,plain,
% 16.14/11.29 (v102(constB143)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[19992, 19991, 19959])).
% 16.14/11.29 tff(19994,plain,
% 16.14/11.29 ((~(v104(constB144) <=> v102(constB143))) | v104(constB144) | (~v102(constB143))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(19995,plain,
% 16.14/11.29 (v104(constB144)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[19994, 19993, 19957])).
% 16.14/11.29 tff(19996,plain,
% 16.14/11.29 ((~((~v95(constB144)) | (~v104(constB144)))) | (~v95(constB144)) | (~v104(constB144))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(19997,plain,
% 16.14/11.29 (~((~v95(constB144)) | (~v104(constB144)))),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[19996, 19995, 19953])).
% 16.14/11.29 tff(19998,plain,
% 16.14/11.29 ((~(v94(constB144) <=> (~((~v95(constB144)) | (~v104(constB144)))))) | v94(constB144) | ((~v95(constB144)) | (~v104(constB144)))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(19999,plain,
% 16.14/11.29 (v94(constB144)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[19998, 19997, 19925])).
% 16.14/11.29 tff(20000,plain,
% 16.14/11.29 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB144)) | (~(((~v84(constB144, 2)) <=> v123(constB144, 2)) | ((~v84(constB144, 1)) <=> v123(constB144, 1)) | ((~v84(constB144, 0)) <=> v123(constB144, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB144)) | (~(((~v84(constB144, 2)) <=> v123(constB144, 2)) | ((~v84(constB144, 1)) <=> v123(constB144, 1)) | ((~v84(constB144, 0)) <=> v123(constB144, 0)))))),
% 16.14/11.29 inference(rewrite,[status(thm)],[])).
% 16.14/11.29 tff(20001,plain,
% 16.14/11.29 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB144)) | (~(((~v84(constB144, 2)) <=> v123(constB144, 2)) | ((~v84(constB144, 1)) <=> v123(constB144, 1)) | ((~v84(constB144, 0)) <=> v123(constB144, 0)))))),
% 16.14/11.29 inference(quant_inst,[status(thm)],[])).
% 16.14/11.29 tff(20002,plain,
% 16.14/11.29 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB144)) | (~(((~v84(constB144, 2)) <=> v123(constB144, 2)) | ((~v84(constB144, 1)) <=> v123(constB144, 1)) | ((~v84(constB144, 0)) <=> v123(constB144, 0))))),
% 16.14/11.29 inference(modus_ponens,[status(thm)],[20001, 20000])).
% 16.14/11.29 tff(20003,plain,
% 16.14/11.29 ((~v94(constB144)) | (~(((~v84(constB144, 2)) <=> v123(constB144, 2)) | ((~v84(constB144, 1)) <=> v123(constB144, 1)) | ((~v84(constB144, 0)) <=> v123(constB144, 0))))),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20002, 2517])).
% 16.14/11.29 tff(20004,plain,
% 16.14/11.29 (~(((~v84(constB144, 2)) <=> v123(constB144, 2)) | ((~v84(constB144, 1)) <=> v123(constB144, 1)) | ((~v84(constB144, 0)) <=> v123(constB144, 0)))),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20003, 19999])).
% 16.14/11.29 tff(20005,plain,
% 16.14/11.29 ((((~v84(constB144, 2)) <=> v123(constB144, 2)) | ((~v84(constB144, 1)) <=> v123(constB144, 1)) | ((~v84(constB144, 0)) <=> v123(constB144, 0))) | (~((~v84(constB144, 2)) <=> v123(constB144, 2)))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20006,plain,
% 16.14/11.29 (~((~v84(constB144, 2)) <=> v123(constB144, 2))),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20005, 20004])).
% 16.14/11.29 tff(20007,plain,
% 16.14/11.29 (((~v84(constB144, 2)) <=> v123(constB144, 2)) | v84(constB144, 2) | (~v123(constB144, 2))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20008,plain,
% 16.14/11.29 (v84(constB144, 2)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20007, 20006, 19921])).
% 16.14/11.29 tff(20009,plain,
% 16.14/11.29 (((~v84(constB145, 2)) <=> v84(constB144, 2)) | v84(constB145, 2) | (~v84(constB144, 2))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20010,plain,
% 16.14/11.29 (v84(constB145, 2)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20009, 20008, 15225])).
% 16.14/11.29 tff(20011,plain,
% 16.14/11.29 ((v84(constB145, 0) | v84(constB145, 1) | v84(constB145, 2)) | (~v84(constB145, 2))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20012,plain,
% 16.14/11.29 (v84(constB145, 0) | v84(constB145, 1) | v84(constB145, 2)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20011, 20010])).
% 16.14/11.29 tff(20013,plain,
% 16.14/11.29 ((~(v113(constB145) <=> (~(v84(constB145, 0) | v84(constB145, 1) | v84(constB145, 2))))) | (~v113(constB145)) | (~(v84(constB145, 0) | v84(constB145, 1) | v84(constB145, 2)))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20014,plain,
% 16.14/11.29 (~v113(constB145)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20013, 20012, 15189])).
% 16.14/11.29 tff(20015,plain,
% 16.14/11.29 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB145) <=> (~(v84(constB145, 1) | (~v84(constB145, 2)) | (~v84(constB145, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB145) <=> (~(v84(constB145, 1) | (~v84(constB145, 2)) | (~v84(constB145, 0))))))),
% 16.14/11.29 inference(rewrite,[status(thm)],[])).
% 16.14/11.29 tff(20016,plain,
% 16.14/11.29 ((v118(constB145) <=> (~(v84(constB145, 1) | (~v84(constB145, 0)) | (~v84(constB145, 2))))) <=> (v118(constB145) <=> (~(v84(constB145, 1) | (~v84(constB145, 2)) | (~v84(constB145, 0)))))),
% 16.14/11.29 inference(rewrite,[status(thm)],[])).
% 16.14/11.29 tff(20017,plain,
% 16.14/11.29 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB145) <=> (~(v84(constB145, 1) | (~v84(constB145, 0)) | (~v84(constB145, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB145) <=> (~(v84(constB145, 1) | (~v84(constB145, 2)) | (~v84(constB145, 0))))))),
% 16.14/11.29 inference(monotonicity,[status(thm)],[20016])).
% 16.14/11.29 tff(20018,plain,
% 16.14/11.29 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB145) <=> (~(v84(constB145, 1) | (~v84(constB145, 0)) | (~v84(constB145, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB145) <=> (~(v84(constB145, 1) | (~v84(constB145, 2)) | (~v84(constB145, 0))))))),
% 16.14/11.29 inference(transitivity,[status(thm)],[20017, 20015])).
% 16.14/11.29 tff(20019,plain,
% 16.14/11.29 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB145) <=> (~(v84(constB145, 1) | (~v84(constB145, 0)) | (~v84(constB145, 2)))))),
% 16.14/11.29 inference(quant_inst,[status(thm)],[])).
% 16.14/11.29 tff(20020,plain,
% 16.14/11.29 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB145) <=> (~(v84(constB145, 1) | (~v84(constB145, 2)) | (~v84(constB145, 0)))))),
% 16.14/11.29 inference(modus_ponens,[status(thm)],[20019, 20018])).
% 16.14/11.29 tff(20021,plain,
% 16.14/11.29 (v118(constB145) <=> (~(v84(constB145, 1) | (~v84(constB145, 2)) | (~v84(constB145, 0))))),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20020, 2701])).
% 16.14/11.29 tff(20022,plain,
% 16.14/11.29 ((((~v84(constB145, 1)) <=> v84(constB144, 1)) | ((~v84(constB145, 2)) <=> v84(constB144, 2)) | ((~v84(constB145, 0)) <=> v84(constB144, 0))) | (~((~v84(constB145, 1)) <=> v84(constB144, 1)))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20023,plain,
% 16.14/11.29 (~((~v84(constB145, 1)) <=> v84(constB144, 1))),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20022, 15223])).
% 16.14/11.29 tff(20024,plain,
% 16.14/11.29 ((((~v123(constB144, 2)) <=> v121(constB143, 2)) | ((~v123(constB144, 1)) <=> v121(constB143, 1)) | ((~v123(constB144, 0)) <=> v121(constB143, 0))) | (~((~v123(constB144, 1)) <=> v121(constB143, 1)))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20025,plain,
% 16.14/11.29 (~((~v123(constB144, 1)) <=> v121(constB143, 1))),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20024, 15232])).
% 16.14/11.29 tff(20026,plain,
% 16.14/11.29 ((((~v121(constB143, 2)) <=> v124(constB143, 2)) | ((~v121(constB143, 0)) <=> v124(constB143, 0)) | ((~v121(constB143, 1)) <=> v124(constB143, 1))) | (~((~v121(constB143, 1)) <=> v124(constB143, 1)))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20027,plain,
% 16.14/11.29 (~((~v121(constB143, 1)) <=> v124(constB143, 1))),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20026, 15246])).
% 16.14/11.29 tff(20028,plain,
% 16.14/11.29 ((v124(constB143, 0) | (~v124(constB143, 2)) | (~v124(constB143, 1))) | v124(constB143, 1)),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20029,plain,
% 16.14/11.29 (v124(constB143, 1)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20028, 19915])).
% 16.14/11.29 tff(20030,plain,
% 16.14/11.29 (((~v121(constB143, 1)) <=> v124(constB143, 1)) | v121(constB143, 1) | (~v124(constB143, 1))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20031,plain,
% 16.14/11.29 (v121(constB143, 1)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20030, 20029, 20027])).
% 16.14/11.29 tff(20032,plain,
% 16.14/11.29 (((~v123(constB144, 1)) <=> v121(constB143, 1)) | v123(constB144, 1) | (~v121(constB143, 1))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20033,plain,
% 16.14/11.29 (v123(constB144, 1)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20032, 20031, 20025])).
% 16.14/11.29 tff(20034,plain,
% 16.14/11.29 ((((~v84(constB144, 2)) <=> v123(constB144, 2)) | ((~v84(constB144, 1)) <=> v123(constB144, 1)) | ((~v84(constB144, 0)) <=> v123(constB144, 0))) | (~((~v84(constB144, 1)) <=> v123(constB144, 1)))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20035,plain,
% 16.14/11.29 (~((~v84(constB144, 1)) <=> v123(constB144, 1))),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20034, 20004])).
% 16.14/11.29 tff(20036,plain,
% 16.14/11.29 (((~v84(constB144, 1)) <=> v123(constB144, 1)) | v84(constB144, 1) | (~v123(constB144, 1))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20037,plain,
% 16.14/11.29 (v84(constB144, 1)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20036, 20035, 20033])).
% 16.14/11.29 tff(20038,plain,
% 16.14/11.29 (((~v84(constB145, 1)) <=> v84(constB144, 1)) | v84(constB145, 1) | (~v84(constB144, 1))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20039,plain,
% 16.14/11.29 (v84(constB145, 1)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20038, 20037, 20023])).
% 16.14/11.29 tff(20040,plain,
% 16.14/11.29 ((v84(constB145, 1) | (~v84(constB145, 2)) | (~v84(constB145, 0))) | (~v84(constB145, 1))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20041,plain,
% 16.14/11.29 (v84(constB145, 1) | (~v84(constB145, 2)) | (~v84(constB145, 0))),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20040, 20039])).
% 16.14/11.29 tff(20042,plain,
% 16.14/11.29 ((~(v118(constB145) <=> (~(v84(constB145, 1) | (~v84(constB145, 2)) | (~v84(constB145, 0)))))) | (~v118(constB145)) | (~(v84(constB145, 1) | (~v84(constB145, 2)) | (~v84(constB145, 0))))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20043,plain,
% 16.14/11.29 (~v118(constB145)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20042, 20041, 20021])).
% 16.14/11.29 tff(20044,plain,
% 16.14/11.29 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB145) <=> (~(v84(constB145, 1) | v84(constB145, 0) | (~v84(constB145, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB145) <=> (~(v84(constB145, 1) | v84(constB145, 0) | (~v84(constB145, 2))))))),
% 16.14/11.29 inference(rewrite,[status(thm)],[])).
% 16.14/11.29 tff(20045,plain,
% 16.14/11.29 ((v117(constB145) <=> (~(v84(constB145, 0) | v84(constB145, 1) | (~v84(constB145, 2))))) <=> (v117(constB145) <=> (~(v84(constB145, 1) | v84(constB145, 0) | (~v84(constB145, 2)))))),
% 16.14/11.29 inference(rewrite,[status(thm)],[])).
% 16.14/11.29 tff(20046,plain,
% 16.14/11.29 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB145) <=> (~(v84(constB145, 0) | v84(constB145, 1) | (~v84(constB145, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB145) <=> (~(v84(constB145, 1) | v84(constB145, 0) | (~v84(constB145, 2))))))),
% 16.14/11.29 inference(monotonicity,[status(thm)],[20045])).
% 16.14/11.29 tff(20047,plain,
% 16.14/11.29 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB145) <=> (~(v84(constB145, 0) | v84(constB145, 1) | (~v84(constB145, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB145) <=> (~(v84(constB145, 1) | v84(constB145, 0) | (~v84(constB145, 2))))))),
% 16.14/11.29 inference(transitivity,[status(thm)],[20046, 20044])).
% 16.14/11.29 tff(20048,plain,
% 16.14/11.29 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB145) <=> (~(v84(constB145, 0) | v84(constB145, 1) | (~v84(constB145, 2)))))),
% 16.14/11.29 inference(quant_inst,[status(thm)],[])).
% 16.14/11.29 tff(20049,plain,
% 16.14/11.29 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB145) <=> (~(v84(constB145, 1) | v84(constB145, 0) | (~v84(constB145, 2)))))),
% 16.14/11.29 inference(modus_ponens,[status(thm)],[20048, 20047])).
% 16.14/11.29 tff(20050,plain,
% 16.14/11.29 (v117(constB145) <=> (~(v84(constB145, 1) | v84(constB145, 0) | (~v84(constB145, 2))))),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20049, 1199])).
% 16.14/11.29 tff(20051,plain,
% 16.14/11.29 ((v84(constB145, 1) | v84(constB145, 0) | (~v84(constB145, 2))) | (~v84(constB145, 1))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20052,plain,
% 16.14/11.29 (v84(constB145, 1) | v84(constB145, 0) | (~v84(constB145, 2))),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20051, 20039])).
% 16.14/11.29 tff(20053,plain,
% 16.14/11.29 ((~(v117(constB145) <=> (~(v84(constB145, 1) | v84(constB145, 0) | (~v84(constB145, 2)))))) | (~v117(constB145)) | (~(v84(constB145, 1) | v84(constB145, 0) | (~v84(constB145, 2))))),
% 16.14/11.29 inference(tautology,[status(thm)],[])).
% 16.14/11.29 tff(20054,plain,
% 16.14/11.29 (~v117(constB145)),
% 16.14/11.29 inference(unit_resolution,[status(thm)],[20053, 20052, 20050])).
% 16.14/11.29 tff(20055,plain,
% 16.14/11.29 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB145) <=> (~(v84(constB145, 2) | (~v84(constB145, 1)) | (~v84(constB145, 0)))))),
% 16.14/11.30 inference(quant_inst,[status(thm)],[])).
% 16.14/11.30 tff(20056,plain,
% 16.14/11.30 (v116(constB145) <=> (~(v84(constB145, 2) | (~v84(constB145, 1)) | (~v84(constB145, 0))))),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20055, 911])).
% 16.14/11.30 tff(20057,plain,
% 16.14/11.30 ((v84(constB145, 2) | (~v84(constB145, 1)) | (~v84(constB145, 0))) | (~v84(constB145, 2))),
% 16.14/11.30 inference(tautology,[status(thm)],[])).
% 16.14/11.30 tff(20058,plain,
% 16.14/11.30 (v84(constB145, 2) | (~v84(constB145, 1)) | (~v84(constB145, 0))),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20057, 20010])).
% 16.14/11.30 tff(20059,plain,
% 16.14/11.30 ((~(v116(constB145) <=> (~(v84(constB145, 2) | (~v84(constB145, 1)) | (~v84(constB145, 0)))))) | (~v116(constB145)) | (~(v84(constB145, 2) | (~v84(constB145, 1)) | (~v84(constB145, 0))))),
% 16.14/11.30 inference(tautology,[status(thm)],[])).
% 16.14/11.30 tff(20060,plain,
% 16.14/11.30 (~v116(constB145)),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20059, 20058, 20056])).
% 16.14/11.30 tff(20061,plain,
% 16.14/11.30 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB145) <=> (~(v84(constB145, 2) | v84(constB145, 0) | (~v84(constB145, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB145) <=> (~(v84(constB145, 2) | v84(constB145, 0) | (~v84(constB145, 1))))))),
% 16.14/11.30 inference(rewrite,[status(thm)],[])).
% 16.14/11.30 tff(20062,plain,
% 16.14/11.30 ((v115(constB145) <=> (~(v84(constB145, 0) | v84(constB145, 2) | (~v84(constB145, 1))))) <=> (v115(constB145) <=> (~(v84(constB145, 2) | v84(constB145, 0) | (~v84(constB145, 1)))))),
% 16.14/11.30 inference(rewrite,[status(thm)],[])).
% 16.14/11.30 tff(20063,plain,
% 16.14/11.30 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB145) <=> (~(v84(constB145, 0) | v84(constB145, 2) | (~v84(constB145, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB145) <=> (~(v84(constB145, 2) | v84(constB145, 0) | (~v84(constB145, 1))))))),
% 16.14/11.30 inference(monotonicity,[status(thm)],[20062])).
% 16.14/11.30 tff(20064,plain,
% 16.14/11.30 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB145) <=> (~(v84(constB145, 0) | v84(constB145, 2) | (~v84(constB145, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB145) <=> (~(v84(constB145, 2) | v84(constB145, 0) | (~v84(constB145, 1))))))),
% 16.14/11.30 inference(transitivity,[status(thm)],[20063, 20061])).
% 16.14/11.30 tff(20065,plain,
% 16.14/11.30 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB145) <=> (~(v84(constB145, 0) | v84(constB145, 2) | (~v84(constB145, 1)))))),
% 16.14/11.30 inference(quant_inst,[status(thm)],[])).
% 16.14/11.30 tff(20066,plain,
% 16.14/11.30 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB145) <=> (~(v84(constB145, 2) | v84(constB145, 0) | (~v84(constB145, 1)))))),
% 16.14/11.30 inference(modus_ponens,[status(thm)],[20065, 20064])).
% 16.14/11.30 tff(20067,plain,
% 16.14/11.30 (v115(constB145) <=> (~(v84(constB145, 2) | v84(constB145, 0) | (~v84(constB145, 1))))),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20066, 985])).
% 16.14/11.30 tff(20068,plain,
% 16.14/11.30 ((v84(constB145, 2) | v84(constB145, 0) | (~v84(constB145, 1))) | (~v84(constB145, 2))),
% 16.14/11.30 inference(tautology,[status(thm)],[])).
% 16.14/11.30 tff(20069,plain,
% 16.14/11.30 (v84(constB145, 2) | v84(constB145, 0) | (~v84(constB145, 1))),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20068, 20010])).
% 16.14/11.30 tff(20070,plain,
% 16.14/11.30 ((~(v115(constB145) <=> (~(v84(constB145, 2) | v84(constB145, 0) | (~v84(constB145, 1)))))) | (~v115(constB145)) | (~(v84(constB145, 2) | v84(constB145, 0) | (~v84(constB145, 1))))),
% 16.14/11.30 inference(tautology,[status(thm)],[])).
% 16.14/11.30 tff(20071,plain,
% 16.14/11.30 (~v115(constB145)),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20070, 20069, 20067])).
% 16.14/11.30 tff(20072,plain,
% 16.14/11.30 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB145) <=> (~(v84(constB145, 1) | v84(constB145, 2) | (~v84(constB145, 0)))))),
% 16.14/11.30 inference(quant_inst,[status(thm)],[])).
% 16.14/11.30 tff(20073,plain,
% 16.14/11.30 (v114(constB145) <=> (~(v84(constB145, 1) | v84(constB145, 2) | (~v84(constB145, 0))))),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20072, 1064])).
% 16.14/11.30 tff(20074,plain,
% 16.14/11.30 ((v84(constB145, 1) | v84(constB145, 2) | (~v84(constB145, 0))) | (~v84(constB145, 2))),
% 16.14/11.30 inference(tautology,[status(thm)],[])).
% 16.14/11.30 tff(20075,plain,
% 16.14/11.30 (v84(constB145, 1) | v84(constB145, 2) | (~v84(constB145, 0))),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20074, 20010])).
% 16.14/11.30 tff(20076,plain,
% 16.14/11.30 ((~(v114(constB145) <=> (~(v84(constB145, 1) | v84(constB145, 2) | (~v84(constB145, 0)))))) | (~v114(constB145)) | (~(v84(constB145, 1) | v84(constB145, 2) | (~v84(constB145, 0))))),
% 16.14/11.30 inference(tautology,[status(thm)],[])).
% 16.14/11.30 tff(20077,plain,
% 16.14/11.30 (~v114(constB145)),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20076, 20075, 20073])).
% 16.14/11.30 tff(20078,plain,
% 16.14/11.30 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB145) | v114(constB145) | v115(constB145) | v116(constB145) | v117(constB145) | v118(constB145) | (~(v124(constB145, 2) | v124(constB145, 1) | (~v124(constB145, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB145) | v114(constB145) | v115(constB145) | v116(constB145) | v117(constB145) | v118(constB145) | (~(v124(constB145, 2) | v124(constB145, 1) | (~v124(constB145, 0)))))),
% 16.14/11.30 inference(rewrite,[status(thm)],[])).
% 16.14/11.30 tff(20079,plain,
% 16.14/11.30 ((v118(constB145) | v117(constB145) | v116(constB145) | v115(constB145) | v114(constB145) | v113(constB145) | (~(v124(constB145, 2) | v124(constB145, 1) | (~v124(constB145, 0))))) <=> (v113(constB145) | v114(constB145) | v115(constB145) | v116(constB145) | v117(constB145) | v118(constB145) | (~(v124(constB145, 2) | v124(constB145, 1) | (~v124(constB145, 0)))))),
% 16.14/11.30 inference(rewrite,[status(thm)],[])).
% 16.14/11.30 tff(20080,plain,
% 16.14/11.30 ((~(v124(constB145, 1) | v124(constB145, 2) | (~v124(constB145, 0)))) <=> (~(v124(constB145, 2) | v124(constB145, 1) | (~v124(constB145, 0))))),
% 16.14/11.30 inference(rewrite,[status(thm)],[])).
% 16.14/11.30 tff(20081,plain,
% 16.14/11.30 ((v118(constB145) | v117(constB145) | v116(constB145) | v115(constB145) | v114(constB145) | v113(constB145) | (~(v124(constB145, 1) | v124(constB145, 2) | (~v124(constB145, 0))))) <=> (v118(constB145) | v117(constB145) | v116(constB145) | v115(constB145) | v114(constB145) | v113(constB145) | (~(v124(constB145, 2) | v124(constB145, 1) | (~v124(constB145, 0)))))),
% 16.14/11.30 inference(monotonicity,[status(thm)],[20080])).
% 16.14/11.30 tff(20082,plain,
% 16.14/11.30 ((v118(constB145) | v117(constB145) | v116(constB145) | v115(constB145) | v114(constB145) | v113(constB145) | (~(v124(constB145, 1) | v124(constB145, 2) | (~v124(constB145, 0))))) <=> (v113(constB145) | v114(constB145) | v115(constB145) | v116(constB145) | v117(constB145) | v118(constB145) | (~(v124(constB145, 2) | v124(constB145, 1) | (~v124(constB145, 0)))))),
% 16.14/11.30 inference(transitivity,[status(thm)],[20081, 20079])).
% 16.14/11.30 tff(20083,plain,
% 16.14/11.30 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB145) | v117(constB145) | v116(constB145) | v115(constB145) | v114(constB145) | v113(constB145) | (~(v124(constB145, 1) | v124(constB145, 2) | (~v124(constB145, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB145) | v114(constB145) | v115(constB145) | v116(constB145) | v117(constB145) | v118(constB145) | (~(v124(constB145, 2) | v124(constB145, 1) | (~v124(constB145, 0))))))),
% 16.14/11.30 inference(monotonicity,[status(thm)],[20082])).
% 16.14/11.30 tff(20084,plain,
% 16.14/11.30 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB145) | v117(constB145) | v116(constB145) | v115(constB145) | v114(constB145) | v113(constB145) | (~(v124(constB145, 1) | v124(constB145, 2) | (~v124(constB145, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB145) | v114(constB145) | v115(constB145) | v116(constB145) | v117(constB145) | v118(constB145) | (~(v124(constB145, 2) | v124(constB145, 1) | (~v124(constB145, 0)))))),
% 16.14/11.30 inference(transitivity,[status(thm)],[20083, 20078])).
% 16.14/11.30 tff(20085,plain,
% 16.14/11.30 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB145) | v117(constB145) | v116(constB145) | v115(constB145) | v114(constB145) | v113(constB145) | (~(v124(constB145, 1) | v124(constB145, 2) | (~v124(constB145, 0)))))),
% 16.14/11.30 inference(quant_inst,[status(thm)],[])).
% 16.14/11.30 tff(20086,plain,
% 16.14/11.30 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB145) | v114(constB145) | v115(constB145) | v116(constB145) | v117(constB145) | v118(constB145) | (~(v124(constB145, 2) | v124(constB145, 1) | (~v124(constB145, 0))))),
% 16.14/11.30 inference(modus_ponens,[status(thm)],[20085, 20084])).
% 16.14/11.30 tff(20087,plain,
% 16.14/11.30 (v113(constB145) | v114(constB145) | v115(constB145) | v116(constB145) | v117(constB145) | v118(constB145) | (~(v124(constB145, 2) | v124(constB145, 1) | (~v124(constB145, 0))))),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20086, 2777])).
% 16.14/11.30 tff(20088,plain,
% 16.14/11.30 (~(v124(constB145, 2) | v124(constB145, 1) | (~v124(constB145, 0)))),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20087, 20077, 20071, 20060, 20054, 20043, 20014])).
% 16.14/11.30 tff(20089,plain,
% 16.14/11.30 ((v124(constB145, 2) | v124(constB145, 1) | (~v124(constB145, 0))) | (~v124(constB145, 2))),
% 16.14/11.30 inference(tautology,[status(thm)],[])).
% 16.14/11.30 tff(20090,plain,
% 16.14/11.30 (~v124(constB145, 2)),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20089, 20088])).
% 16.14/11.30 tff(20091,plain,
% 16.14/11.30 (((~v121(constB145, 2)) <=> v124(constB145, 2)) | (~v121(constB145, 2)) | v124(constB145, 2)),
% 16.14/11.30 inference(tautology,[status(thm)],[])).
% 16.14/11.30 tff(20092,plain,
% 16.14/11.30 (~v121(constB145, 2)),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20091, 20090, 15187])).
% 16.14/11.30 tff(20093,plain,
% 16.14/11.30 (((~v123(constB146, 2)) <=> v121(constB145, 2)) | (~v123(constB146, 2)) | v121(constB145, 2)),
% 16.14/11.30 inference(tautology,[status(thm)],[])).
% 16.14/11.30 tff(20094,plain,
% 16.14/11.30 (~v123(constB146, 2)),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20093, 20092, 15173])).
% 16.14/11.30 tff(20095,plain,
% 16.14/11.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB145, constB146)) | (v94(constB146) <=> (~((~v95(constB146)) | (~v104(constB146))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB145, constB146)) | (v94(constB146) <=> (~((~v95(constB146)) | (~v104(constB146))))))),
% 16.14/11.30 inference(rewrite,[status(thm)],[])).
% 16.14/11.30 tff(20096,plain,
% 16.14/11.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB145, constB146)) | (v94(constB146) <=> (~((~v95(constB146)) | (~v104(constB146))))))),
% 16.14/11.30 inference(quant_inst,[status(thm)],[])).
% 16.14/11.30 tff(20097,plain,
% 16.14/11.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB145, constB146)) | (v94(constB146) <=> (~((~v95(constB146)) | (~v104(constB146)))))),
% 16.14/11.30 inference(modus_ponens,[status(thm)],[20096, 20095])).
% 16.14/11.30 tff(20098,plain,
% 16.14/11.30 (v94(constB146) <=> (~((~v95(constB146)) | (~v104(constB146))))),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20097, 15167, 770])).
% 16.14/11.30 tff(20099,plain,
% 16.14/11.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146))))))),
% 16.14/11.30 inference(rewrite,[status(thm)],[])).
% 16.14/11.30 tff(20100,plain,
% 16.14/11.30 (((~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v96(constB146)) | (~v1(constB146)))))) <=> ((~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146))))))),
% 16.14/11.30 inference(rewrite,[status(thm)],[])).
% 16.14/11.30 tff(20101,plain,
% 16.14/11.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v96(constB146)) | (~v1(constB146))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146)))))))),
% 16.14/11.30 inference(monotonicity,[status(thm)],[20100])).
% 16.14/11.30 tff(20102,plain,
% 16.14/11.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v96(constB146)) | (~v1(constB146))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146))))))),
% 16.14/11.30 inference(transitivity,[status(thm)],[20101, 20099])).
% 16.14/11.30 tff(20103,plain,
% 16.14/11.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v96(constB146)) | (~v1(constB146))))))),
% 16.14/11.30 inference(quant_inst,[status(thm)],[])).
% 16.14/11.30 tff(20104,plain,
% 16.14/11.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146)))))),
% 16.14/11.30 inference(modus_ponens,[status(thm)],[20103, 20102])).
% 16.14/11.30 tff(20105,plain,
% 16.14/11.30 (v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146))))),
% 16.14/11.30 inference(unit_resolution,[status(thm)],[20104, 15167, 790])).
% 16.14/11.30 tff(20106,plain,
% 16.14/11.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB145, constB146)) | ((~v96(constB146)) <=> v98(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB145, constB146)) | ((~v96(constB146)) <=> v98(constB146)))),
% 16.14/11.30 inference(rewrite,[status(thm)],[])).
% 16.14/11.30 tff(20107,plain,
% 16.14/11.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB145, constB146)) | ((~v96(constB146)) <=> v98(constB146)))),
% 16.14/11.30 inference(quant_inst,[status(thm)],[])).
% 16.14/11.30 tff(20108,plain,
% 16.14/11.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB145, constB146)) | ((~v96(constB146)) <=> v98(constB146))),
% 16.14/11.30 inference(modus_ponens,[status(thm)],[20107, 20106])).
% 16.14/11.30 tff(20109,plain,
% 16.14/11.30 ((~v96(constB146)) <=> v98(constB146)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20108, 15167, 2332])).
% 16.14/11.31 tff(20110,plain,
% 16.14/11.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB145, constB146)) | (v98(constB146) <=> v1(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB145, constB146)) | (v98(constB146) <=> v1(constB145)))),
% 16.14/11.31 inference(rewrite,[status(thm)],[])).
% 16.14/11.31 tff(20111,plain,
% 16.14/11.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB145, constB146)) | (v98(constB146) <=> v1(constB145)))),
% 16.14/11.31 inference(quant_inst,[status(thm)],[])).
% 16.14/11.31 tff(20112,plain,
% 16.14/11.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB145, constB146)) | (v98(constB146) <=> v1(constB145))),
% 16.14/11.31 inference(modus_ponens,[status(thm)],[20111, 20110])).
% 16.14/11.31 tff(20113,plain,
% 16.14/11.31 (v98(constB146) <=> v1(constB145)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20112, 15167, 2346])).
% 16.14/11.31 tff(20114,plain,
% 16.14/11.31 ((~(v98(constB146) <=> v1(constB145))) | (~v98(constB146)) | v1(constB145)),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20115,plain,
% 16.14/11.31 ((~(v98(constB146) <=> v1(constB145))) | (~v98(constB146))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20114, 15206])).
% 16.14/11.31 tff(20116,plain,
% 16.14/11.31 (~v98(constB146)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20115, 20113])).
% 16.14/11.31 tff(20117,plain,
% 16.14/11.31 ((~((~v96(constB146)) <=> v98(constB146))) | v96(constB146) | v98(constB146)),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20118,plain,
% 16.14/11.31 (v96(constB146)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20117, 20116, 20109])).
% 16.14/11.31 tff(20119,plain,
% 16.14/11.31 (v1(constB146) <=> v1(constB146)),
% 16.14/11.31 inference(rewrite,[status(thm)],[])).
% 16.14/11.31 tff(20120,axiom,(v1(constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_146')).
% 16.14/11.31 tff(20121,plain,
% 16.14/11.31 (v1(constB146)),
% 16.14/11.31 inference(modus_ponens,[status(thm)],[20120, 20119])).
% 16.14/11.31 tff(20122,plain,
% 16.14/11.31 ((~((~v1(constB146)) | (~v96(constB146)))) | (~v1(constB146)) | (~v96(constB146))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20123,plain,
% 16.14/11.31 ((~((~v1(constB146)) | (~v96(constB146)))) | (~v96(constB146))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20122, 20121])).
% 16.14/11.31 tff(20124,plain,
% 16.14/11.31 (~((~v1(constB146)) | (~v96(constB146)))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20123, 20118])).
% 16.14/11.31 tff(20125,plain,
% 16.14/11.31 ((~(v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146)))))) | v95(constB146) | ((~v1(constB146)) | (~v96(constB146)))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20126,plain,
% 16.14/11.31 (v95(constB146)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20125, 20124, 20105])).
% 16.14/11.31 tff(20127,plain,
% 16.14/11.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB145, constB146)) | (v104(constB146) <=> v102(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB145, constB146)) | (v104(constB146) <=> v102(constB145)))),
% 16.14/11.31 inference(rewrite,[status(thm)],[])).
% 16.14/11.31 tff(20128,plain,
% 16.14/11.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB145, constB146)) | (v104(constB146) <=> v102(constB145)))),
% 16.14/11.31 inference(quant_inst,[status(thm)],[])).
% 16.14/11.31 tff(20129,plain,
% 16.14/11.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB145, constB146)) | (v104(constB146) <=> v102(constB145))),
% 16.14/11.31 inference(modus_ponens,[status(thm)],[20128, 20127])).
% 16.14/11.31 tff(20130,plain,
% 16.14/11.31 (v104(constB146) <=> v102(constB145)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20129, 15167, 2373])).
% 16.14/11.31 tff(20131,plain,
% 16.14/11.31 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB145) <=> (v105(constB145) | v106(constB145)))),
% 16.14/11.31 inference(quant_inst,[status(thm)],[])).
% 16.14/11.31 tff(20132,plain,
% 16.14/11.31 (v102(constB145) <=> (v105(constB145) | v106(constB145))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20131, 2384])).
% 16.14/11.31 tff(20133,plain,
% 16.14/11.31 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB145) <=> (~((~v107(constB145)) | (~v120(constB145)))))),
% 16.14/11.31 inference(quant_inst,[status(thm)],[])).
% 16.14/11.31 tff(20134,plain,
% 16.14/11.31 (v106(constB145) <=> (~((~v107(constB145)) | (~v120(constB145))))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20133, 2396])).
% 16.14/11.31 tff(20135,plain,
% 16.14/11.31 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB145) <=> (v108(constB145) | v119(constB145)))),
% 16.14/11.31 inference(quant_inst,[status(thm)],[])).
% 16.14/11.31 tff(20136,plain,
% 16.14/11.31 (v107(constB145) <=> (v108(constB145) | v119(constB145))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20135, 2405])).
% 16.14/11.31 tff(20137,plain,
% 16.14/11.31 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB145) <=> (~(v84(constB145, 0) | (~v84(constB145, 1)) | (~v84(constB145, 2)))))),
% 16.14/11.31 inference(quant_inst,[status(thm)],[])).
% 16.14/11.31 tff(20138,plain,
% 16.14/11.31 (v119(constB145) <=> (~(v84(constB145, 0) | (~v84(constB145, 1)) | (~v84(constB145, 2))))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20137, 2849])).
% 16.14/11.31 tff(20139,plain,
% 16.14/11.31 ((((~v84(constB145, 1)) <=> v84(constB144, 1)) | ((~v84(constB145, 2)) <=> v84(constB144, 2)) | ((~v84(constB145, 0)) <=> v84(constB144, 0))) | (~((~v84(constB145, 0)) <=> v84(constB144, 0)))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20140,plain,
% 16.14/11.31 (~((~v84(constB145, 0)) <=> v84(constB144, 0))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20139, 15223])).
% 16.14/11.31 tff(20141,plain,
% 16.14/11.31 ((((~v123(constB144, 2)) <=> v121(constB143, 2)) | ((~v123(constB144, 1)) <=> v121(constB143, 1)) | ((~v123(constB144, 0)) <=> v121(constB143, 0))) | (~((~v123(constB144, 0)) <=> v121(constB143, 0)))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20142,plain,
% 16.14/11.31 (~((~v123(constB144, 0)) <=> v121(constB143, 0))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20141, 15232])).
% 16.14/11.31 tff(20143,plain,
% 16.14/11.31 ((((~v121(constB143, 2)) <=> v124(constB143, 2)) | ((~v121(constB143, 0)) <=> v124(constB143, 0)) | ((~v121(constB143, 1)) <=> v124(constB143, 1))) | (~((~v121(constB143, 0)) <=> v124(constB143, 0)))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20144,plain,
% 16.14/11.31 (~((~v121(constB143, 0)) <=> v124(constB143, 0))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20143, 15246])).
% 16.14/11.31 tff(20145,plain,
% 16.14/11.31 ((v124(constB143, 0) | (~v124(constB143, 2)) | (~v124(constB143, 1))) | (~v124(constB143, 0))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20146,plain,
% 16.14/11.31 (~v124(constB143, 0)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20145, 19915])).
% 16.14/11.31 tff(20147,plain,
% 16.14/11.31 (((~v121(constB143, 0)) <=> v124(constB143, 0)) | (~v121(constB143, 0)) | v124(constB143, 0)),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20148,plain,
% 16.14/11.31 (~v121(constB143, 0)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20147, 20146, 20144])).
% 16.14/11.31 tff(20149,plain,
% 16.14/11.31 (((~v123(constB144, 0)) <=> v121(constB143, 0)) | (~v123(constB144, 0)) | v121(constB143, 0)),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20150,plain,
% 16.14/11.31 (~v123(constB144, 0)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20149, 20148, 20142])).
% 16.14/11.31 tff(20151,plain,
% 16.14/11.31 ((((~v84(constB144, 2)) <=> v123(constB144, 2)) | ((~v84(constB144, 1)) <=> v123(constB144, 1)) | ((~v84(constB144, 0)) <=> v123(constB144, 0))) | (~((~v84(constB144, 0)) <=> v123(constB144, 0)))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20152,plain,
% 16.14/11.31 (~((~v84(constB144, 0)) <=> v123(constB144, 0))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20151, 20004])).
% 16.14/11.31 tff(20153,plain,
% 16.14/11.31 (((~v84(constB144, 0)) <=> v123(constB144, 0)) | (~v84(constB144, 0)) | v123(constB144, 0)),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20154,plain,
% 16.14/11.31 (~v84(constB144, 0)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20153, 20152, 20150])).
% 16.14/11.31 tff(20155,plain,
% 16.14/11.31 (((~v84(constB145, 0)) <=> v84(constB144, 0)) | (~v84(constB145, 0)) | v84(constB144, 0)),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20156,plain,
% 16.14/11.31 (~v84(constB145, 0)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20155, 20154, 20140])).
% 16.14/11.31 tff(20157,plain,
% 16.14/11.31 ((~(v84(constB145, 0) | (~v84(constB145, 1)) | (~v84(constB145, 2)))) | v84(constB145, 0) | (~v84(constB145, 1)) | (~v84(constB145, 2))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20158,plain,
% 16.14/11.31 (~(v84(constB145, 0) | (~v84(constB145, 1)) | (~v84(constB145, 2)))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20157, 20039, 20156, 20010])).
% 16.14/11.31 tff(20159,plain,
% 16.14/11.31 ((~(v119(constB145) <=> (~(v84(constB145, 0) | (~v84(constB145, 1)) | (~v84(constB145, 2)))))) | v119(constB145) | (v84(constB145, 0) | (~v84(constB145, 1)) | (~v84(constB145, 2)))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20160,plain,
% 16.14/11.31 (v119(constB145)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20159, 20158, 20138])).
% 16.14/11.31 tff(20161,plain,
% 16.14/11.31 ((v108(constB145) | v119(constB145)) | (~v119(constB145))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20162,plain,
% 16.14/11.31 (v108(constB145) | v119(constB145)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20161, 20160])).
% 16.14/11.31 tff(20163,plain,
% 16.14/11.31 ((~(v107(constB145) <=> (v108(constB145) | v119(constB145)))) | v107(constB145) | (~(v108(constB145) | v119(constB145)))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20164,plain,
% 16.14/11.31 (v107(constB145)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20163, 20162, 20136])).
% 16.14/11.31 tff(20165,plain,
% 16.14/11.31 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB145)) <=> v105(constB145))),
% 16.14/11.31 inference(quant_inst,[status(thm)],[])).
% 16.14/11.31 tff(20166,plain,
% 16.14/11.31 ((~v120(constB145)) <=> v105(constB145)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20165, 2484])).
% 16.14/11.31 tff(20167,plain,
% 16.14/11.31 ((~((~v120(constB145)) <=> v105(constB145))) | v120(constB145) | v105(constB145)),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20168,plain,
% 16.14/11.31 ((~((~v120(constB145)) <=> v105(constB145))) | v120(constB145)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20167, 15180])).
% 16.14/11.31 tff(20169,plain,
% 16.14/11.31 (v120(constB145)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20168, 20166])).
% 16.14/11.31 tff(20170,plain,
% 16.14/11.31 ((~((~v107(constB145)) | (~v120(constB145)))) | (~v107(constB145)) | (~v120(constB145))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20171,plain,
% 16.14/11.31 ((~((~v107(constB145)) | (~v120(constB145)))) | (~v107(constB145))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20170, 20169])).
% 16.14/11.31 tff(20172,plain,
% 16.14/11.31 (~((~v107(constB145)) | (~v120(constB145)))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20171, 20164])).
% 16.14/11.31 tff(20173,plain,
% 16.14/11.31 ((~(v106(constB145) <=> (~((~v107(constB145)) | (~v120(constB145)))))) | v106(constB145) | ((~v107(constB145)) | (~v120(constB145)))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20174,plain,
% 16.14/11.31 (v106(constB145)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20173, 20172, 20134])).
% 16.14/11.31 tff(20175,plain,
% 16.14/11.31 ((v105(constB145) | v106(constB145)) | (~v106(constB145))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20176,plain,
% 16.14/11.31 (v105(constB145) | v106(constB145)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20175, 20174])).
% 16.14/11.31 tff(20177,plain,
% 16.14/11.31 ((~(v102(constB145) <=> (v105(constB145) | v106(constB145)))) | v102(constB145) | (~(v105(constB145) | v106(constB145)))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20178,plain,
% 16.14/11.31 (v102(constB145)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20177, 20176, 20132])).
% 16.14/11.31 tff(20179,plain,
% 16.14/11.31 ((~(v104(constB146) <=> v102(constB145))) | v104(constB146) | (~v102(constB145))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20180,plain,
% 16.14/11.31 (v104(constB146)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20179, 20178, 20130])).
% 16.14/11.31 tff(20181,plain,
% 16.14/11.31 ((~((~v95(constB146)) | (~v104(constB146)))) | (~v95(constB146)) | (~v104(constB146))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20182,plain,
% 16.14/11.31 (~((~v95(constB146)) | (~v104(constB146)))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20181, 20180, 20126])).
% 16.14/11.31 tff(20183,plain,
% 16.14/11.31 ((~(v94(constB146) <=> (~((~v95(constB146)) | (~v104(constB146)))))) | v94(constB146) | ((~v95(constB146)) | (~v104(constB146)))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20184,plain,
% 16.14/11.31 (v94(constB146)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20183, 20182, 20098])).
% 16.14/11.31 tff(20185,plain,
% 16.14/11.31 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB146)) | (~(((~v84(constB146, 0)) <=> v123(constB146, 0)) | ((~v84(constB146, 2)) <=> v123(constB146, 2)) | ((~v84(constB146, 1)) <=> v123(constB146, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB146)) | (~(((~v84(constB146, 0)) <=> v123(constB146, 0)) | ((~v84(constB146, 2)) <=> v123(constB146, 2)) | ((~v84(constB146, 1)) <=> v123(constB146, 1)))))),
% 16.14/11.31 inference(rewrite,[status(thm)],[])).
% 16.14/11.31 tff(20186,plain,
% 16.14/11.31 (((~v94(constB146)) | (~(((~v84(constB146, 2)) <=> v123(constB146, 2)) | ((~v84(constB146, 1)) <=> v123(constB146, 1)) | ((~v84(constB146, 0)) <=> v123(constB146, 0))))) <=> ((~v94(constB146)) | (~(((~v84(constB146, 0)) <=> v123(constB146, 0)) | ((~v84(constB146, 2)) <=> v123(constB146, 2)) | ((~v84(constB146, 1)) <=> v123(constB146, 1)))))),
% 16.14/11.31 inference(rewrite,[status(thm)],[])).
% 16.14/11.31 tff(20187,plain,
% 16.14/11.31 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB146)) | (~(((~v84(constB146, 2)) <=> v123(constB146, 2)) | ((~v84(constB146, 1)) <=> v123(constB146, 1)) | ((~v84(constB146, 0)) <=> v123(constB146, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB146)) | (~(((~v84(constB146, 0)) <=> v123(constB146, 0)) | ((~v84(constB146, 2)) <=> v123(constB146, 2)) | ((~v84(constB146, 1)) <=> v123(constB146, 1))))))),
% 16.14/11.31 inference(monotonicity,[status(thm)],[20186])).
% 16.14/11.31 tff(20188,plain,
% 16.14/11.31 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB146)) | (~(((~v84(constB146, 2)) <=> v123(constB146, 2)) | ((~v84(constB146, 1)) <=> v123(constB146, 1)) | ((~v84(constB146, 0)) <=> v123(constB146, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB146)) | (~(((~v84(constB146, 0)) <=> v123(constB146, 0)) | ((~v84(constB146, 2)) <=> v123(constB146, 2)) | ((~v84(constB146, 1)) <=> v123(constB146, 1)))))),
% 16.14/11.31 inference(transitivity,[status(thm)],[20187, 20185])).
% 16.14/11.31 tff(20189,plain,
% 16.14/11.31 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB146)) | (~(((~v84(constB146, 2)) <=> v123(constB146, 2)) | ((~v84(constB146, 1)) <=> v123(constB146, 1)) | ((~v84(constB146, 0)) <=> v123(constB146, 0)))))),
% 16.14/11.31 inference(quant_inst,[status(thm)],[])).
% 16.14/11.31 tff(20190,plain,
% 16.14/11.31 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB146)) | (~(((~v84(constB146, 0)) <=> v123(constB146, 0)) | ((~v84(constB146, 2)) <=> v123(constB146, 2)) | ((~v84(constB146, 1)) <=> v123(constB146, 1))))),
% 16.14/11.31 inference(modus_ponens,[status(thm)],[20189, 20188])).
% 16.14/11.31 tff(20191,plain,
% 16.14/11.31 ((~v94(constB146)) | (~(((~v84(constB146, 0)) <=> v123(constB146, 0)) | ((~v84(constB146, 2)) <=> v123(constB146, 2)) | ((~v84(constB146, 1)) <=> v123(constB146, 1))))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20190, 2517])).
% 16.14/11.31 tff(20192,plain,
% 16.14/11.31 (~(((~v84(constB146, 0)) <=> v123(constB146, 0)) | ((~v84(constB146, 2)) <=> v123(constB146, 2)) | ((~v84(constB146, 1)) <=> v123(constB146, 1)))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20191, 20184])).
% 16.14/11.31 tff(20193,plain,
% 16.14/11.31 ((((~v84(constB146, 0)) <=> v123(constB146, 0)) | ((~v84(constB146, 2)) <=> v123(constB146, 2)) | ((~v84(constB146, 1)) <=> v123(constB146, 1))) | (~((~v84(constB146, 2)) <=> v123(constB146, 2)))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20194,plain,
% 16.14/11.31 (~((~v84(constB146, 2)) <=> v123(constB146, 2))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20193, 20192])).
% 16.14/11.31 tff(20195,plain,
% 16.14/11.31 (((~v84(constB146, 2)) <=> v123(constB146, 2)) | (~v84(constB146, 2)) | v123(constB146, 2)),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20196,plain,
% 16.14/11.31 (~v84(constB146, 2)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20195, 20194, 20094])).
% 16.14/11.31 tff(20197,plain,
% 16.14/11.31 (((~v84(constB147, 2)) <=> v84(constB146, 2)) | (~v84(constB147, 2)) | v84(constB146, 2)),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20198,plain,
% 16.14/11.31 (~v84(constB147, 2)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20197, 20196, 15164])).
% 16.14/11.31 tff(20199,plain,
% 16.14/11.31 ((((~v84(constB147, 1)) <=> v84(constB146, 1)) | ((~v84(constB147, 2)) <=> v84(constB146, 2)) | ((~v84(constB147, 0)) <=> v84(constB146, 0))) | (~((~v84(constB147, 0)) <=> v84(constB146, 0)))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20200,plain,
% 16.14/11.31 (~((~v84(constB147, 0)) <=> v84(constB146, 0))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20199, 15162])).
% 16.14/11.31 tff(20201,plain,
% 16.14/11.31 ((((~v123(constB146, 2)) <=> v121(constB145, 2)) | ((~v123(constB146, 1)) <=> v121(constB145, 1)) | ((~v123(constB146, 0)) <=> v121(constB145, 0))) | (~((~v123(constB146, 0)) <=> v121(constB145, 0)))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20202,plain,
% 16.14/11.31 (~((~v123(constB146, 0)) <=> v121(constB145, 0))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20201, 15171])).
% 16.14/11.31 tff(20203,plain,
% 16.14/11.31 ((((~v121(constB145, 2)) <=> v124(constB145, 2)) | ((~v121(constB145, 0)) <=> v124(constB145, 0)) | ((~v121(constB145, 1)) <=> v124(constB145, 1))) | (~((~v121(constB145, 0)) <=> v124(constB145, 0)))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20204,plain,
% 16.14/11.31 (~((~v121(constB145, 0)) <=> v124(constB145, 0))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20203, 15185])).
% 16.14/11.31 tff(20205,plain,
% 16.14/11.31 ((v124(constB145, 2) | v124(constB145, 1) | (~v124(constB145, 0))) | v124(constB145, 0)),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20206,plain,
% 16.14/11.31 (v124(constB145, 0)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20205, 20088])).
% 16.14/11.31 tff(20207,plain,
% 16.14/11.31 (((~v121(constB145, 0)) <=> v124(constB145, 0)) | v121(constB145, 0) | (~v124(constB145, 0))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20208,plain,
% 16.14/11.31 (v121(constB145, 0)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20207, 20206, 20204])).
% 16.14/11.31 tff(20209,plain,
% 16.14/11.31 (((~v123(constB146, 0)) <=> v121(constB145, 0)) | v123(constB146, 0) | (~v121(constB145, 0))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20210,plain,
% 16.14/11.31 (v123(constB146, 0)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20209, 20208, 20202])).
% 16.14/11.31 tff(20211,plain,
% 16.14/11.31 ((((~v84(constB146, 0)) <=> v123(constB146, 0)) | ((~v84(constB146, 2)) <=> v123(constB146, 2)) | ((~v84(constB146, 1)) <=> v123(constB146, 1))) | (~((~v84(constB146, 0)) <=> v123(constB146, 0)))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20212,plain,
% 16.14/11.31 (~((~v84(constB146, 0)) <=> v123(constB146, 0))),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20211, 20192])).
% 16.14/11.31 tff(20213,plain,
% 16.14/11.31 (((~v84(constB146, 0)) <=> v123(constB146, 0)) | v84(constB146, 0) | (~v123(constB146, 0))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20214,plain,
% 16.14/11.31 (v84(constB146, 0)),
% 16.14/11.31 inference(unit_resolution,[status(thm)],[20213, 20212, 20210])).
% 16.14/11.31 tff(20215,plain,
% 16.14/11.31 (((~v84(constB147, 0)) <=> v84(constB146, 0)) | v84(constB147, 0) | (~v84(constB146, 0))),
% 16.14/11.31 inference(tautology,[status(thm)],[])).
% 16.14/11.31 tff(20216,plain,
% 16.14/11.31 (v84(constB147, 0)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20215, 20214, 20200])).
% 16.14/11.32 tff(20217,plain,
% 16.14/11.32 ((((~v84(constB147, 1)) <=> v84(constB146, 1)) | ((~v84(constB147, 2)) <=> v84(constB146, 2)) | ((~v84(constB147, 0)) <=> v84(constB146, 0))) | (~((~v84(constB147, 1)) <=> v84(constB146, 1)))),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20218,plain,
% 16.14/11.32 (~((~v84(constB147, 1)) <=> v84(constB146, 1))),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20217, 15162])).
% 16.14/11.32 tff(20219,plain,
% 16.14/11.32 ((((~v123(constB146, 2)) <=> v121(constB145, 2)) | ((~v123(constB146, 1)) <=> v121(constB145, 1)) | ((~v123(constB146, 0)) <=> v121(constB145, 0))) | (~((~v123(constB146, 1)) <=> v121(constB145, 1)))),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20220,plain,
% 16.14/11.32 (~((~v123(constB146, 1)) <=> v121(constB145, 1))),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20219, 15171])).
% 16.14/11.32 tff(20221,plain,
% 16.14/11.32 ((((~v121(constB145, 2)) <=> v124(constB145, 2)) | ((~v121(constB145, 0)) <=> v124(constB145, 0)) | ((~v121(constB145, 1)) <=> v124(constB145, 1))) | (~((~v121(constB145, 1)) <=> v124(constB145, 1)))),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20222,plain,
% 16.14/11.32 (~((~v121(constB145, 1)) <=> v124(constB145, 1))),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20221, 15185])).
% 16.14/11.32 tff(20223,plain,
% 16.14/11.32 ((v124(constB145, 2) | v124(constB145, 1) | (~v124(constB145, 0))) | (~v124(constB145, 1))),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20224,plain,
% 16.14/11.32 (~v124(constB145, 1)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20223, 20088])).
% 16.14/11.32 tff(20225,plain,
% 16.14/11.32 (((~v121(constB145, 1)) <=> v124(constB145, 1)) | (~v121(constB145, 1)) | v124(constB145, 1)),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20226,plain,
% 16.14/11.32 (~v121(constB145, 1)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20225, 20224, 20222])).
% 16.14/11.32 tff(20227,plain,
% 16.14/11.32 (((~v123(constB146, 1)) <=> v121(constB145, 1)) | (~v123(constB146, 1)) | v121(constB145, 1)),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20228,plain,
% 16.14/11.32 (~v123(constB146, 1)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20227, 20226, 20220])).
% 16.14/11.32 tff(20229,plain,
% 16.14/11.32 ((((~v84(constB146, 0)) <=> v123(constB146, 0)) | ((~v84(constB146, 2)) <=> v123(constB146, 2)) | ((~v84(constB146, 1)) <=> v123(constB146, 1))) | (~((~v84(constB146, 1)) <=> v123(constB146, 1)))),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20230,plain,
% 16.14/11.32 (~((~v84(constB146, 1)) <=> v123(constB146, 1))),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20229, 20192])).
% 16.14/11.32 tff(20231,plain,
% 16.14/11.32 (((~v84(constB146, 1)) <=> v123(constB146, 1)) | (~v84(constB146, 1)) | v123(constB146, 1)),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20232,plain,
% 16.14/11.32 (~v84(constB146, 1)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20231, 20230, 20228])).
% 16.14/11.32 tff(20233,plain,
% 16.14/11.32 (((~v84(constB147, 1)) <=> v84(constB146, 1)) | (~v84(constB147, 1)) | v84(constB146, 1)),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20234,plain,
% 16.14/11.32 (~v84(constB147, 1)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20233, 20232, 20218])).
% 16.14/11.32 tff(20235,plain,
% 16.14/11.32 ((~(v84(constB147, 1) | v84(constB147, 2) | (~v84(constB147, 0)))) | v84(constB147, 1) | v84(constB147, 2) | (~v84(constB147, 0))),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20236,plain,
% 16.14/11.32 (~(v84(constB147, 1) | v84(constB147, 2) | (~v84(constB147, 0)))),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20235, 20234, 20216, 20198])).
% 16.14/11.32 tff(20237,plain,
% 16.14/11.32 ((~(v114(constB147) <=> (~(v84(constB147, 1) | v84(constB147, 2) | (~v84(constB147, 0)))))) | v114(constB147) | (v84(constB147, 1) | v84(constB147, 2) | (~v84(constB147, 0)))),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20238,plain,
% 16.14/11.32 (v114(constB147)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20237, 20236, 15128])).
% 16.14/11.32 tff(20239,plain,
% 16.14/11.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB147)) | (~(v124(constB147, 2) | v124(constB147, 0) | (~v124(constB147, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB147)) | (~(v124(constB147, 2) | v124(constB147, 0) | (~v124(constB147, 1)))))),
% 16.14/11.32 inference(rewrite,[status(thm)],[])).
% 16.14/11.32 tff(20240,plain,
% 16.14/11.32 (((~v114(constB147)) | (~(v124(constB147, 0) | v124(constB147, 2) | (~v124(constB147, 1))))) <=> ((~v114(constB147)) | (~(v124(constB147, 2) | v124(constB147, 0) | (~v124(constB147, 1)))))),
% 16.14/11.32 inference(rewrite,[status(thm)],[])).
% 16.14/11.32 tff(20241,plain,
% 16.14/11.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB147)) | (~(v124(constB147, 0) | v124(constB147, 2) | (~v124(constB147, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB147)) | (~(v124(constB147, 2) | v124(constB147, 0) | (~v124(constB147, 1))))))),
% 16.14/11.32 inference(monotonicity,[status(thm)],[20240])).
% 16.14/11.32 tff(20242,plain,
% 16.14/11.32 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB147)) | (~(v124(constB147, 0) | v124(constB147, 2) | (~v124(constB147, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB147)) | (~(v124(constB147, 2) | v124(constB147, 0) | (~v124(constB147, 1)))))),
% 16.14/11.32 inference(transitivity,[status(thm)],[20241, 20239])).
% 16.14/11.32 tff(20243,plain,
% 16.14/11.32 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB147)) | (~(v124(constB147, 0) | v124(constB147, 2) | (~v124(constB147, 1)))))),
% 16.14/11.32 inference(quant_inst,[status(thm)],[])).
% 16.14/11.32 tff(20244,plain,
% 16.14/11.32 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB147)) | (~(v124(constB147, 2) | v124(constB147, 0) | (~v124(constB147, 1))))),
% 16.14/11.32 inference(modus_ponens,[status(thm)],[20243, 20242])).
% 16.14/11.32 tff(20245,plain,
% 16.14/11.32 ((~v114(constB147)) | (~(v124(constB147, 2) | v124(constB147, 0) | (~v124(constB147, 1))))),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20244, 2964])).
% 16.14/11.32 tff(20246,plain,
% 16.14/11.32 (~(v124(constB147, 2) | v124(constB147, 0) | (~v124(constB147, 1)))),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20245, 20238])).
% 16.14/11.32 tff(20247,plain,
% 16.14/11.32 ((v124(constB147, 2) | v124(constB147, 0) | (~v124(constB147, 1))) | (~v124(constB147, 2))),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20248,plain,
% 16.14/11.32 (~v124(constB147, 2)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20247, 20246])).
% 16.14/11.32 tff(20249,plain,
% 16.14/11.32 (((~v121(constB147, 2)) <=> v124(constB147, 2)) | (~v121(constB147, 2)) | v124(constB147, 2)),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20250,plain,
% 16.14/11.32 (~v121(constB147, 2)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20249, 20248, 15126])).
% 16.14/11.32 tff(20251,plain,
% 16.14/11.32 (((~v123(constB148, 2)) <=> v121(constB147, 2)) | (~v123(constB148, 2)) | v121(constB147, 2)),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20252,plain,
% 16.14/11.32 (~v123(constB148, 2)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20251, 20250, 15112])).
% 16.14/11.32 tff(20253,plain,
% 16.14/11.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB147, constB148)) | (v94(constB148) <=> (~((~v95(constB148)) | (~v104(constB148))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB147, constB148)) | (v94(constB148) <=> (~((~v95(constB148)) | (~v104(constB148))))))),
% 16.14/11.32 inference(rewrite,[status(thm)],[])).
% 16.14/11.32 tff(20254,plain,
% 16.14/11.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB147, constB148)) | (v94(constB148) <=> (~((~v95(constB148)) | (~v104(constB148))))))),
% 16.14/11.32 inference(quant_inst,[status(thm)],[])).
% 16.14/11.32 tff(20255,plain,
% 16.14/11.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB147, constB148)) | (v94(constB148) <=> (~((~v95(constB148)) | (~v104(constB148)))))),
% 16.14/11.32 inference(modus_ponens,[status(thm)],[20254, 20253])).
% 16.14/11.32 tff(20256,plain,
% 16.14/11.32 (v94(constB148) <=> (~((~v95(constB148)) | (~v104(constB148))))),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20255, 15106, 770])).
% 16.14/11.32 tff(20257,plain,
% 16.14/11.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148))))))),
% 16.14/11.32 inference(rewrite,[status(thm)],[])).
% 16.14/11.32 tff(20258,plain,
% 16.14/11.32 (((~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v96(constB148)) | (~v1(constB148)))))) <=> ((~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148))))))),
% 16.14/11.32 inference(rewrite,[status(thm)],[])).
% 16.14/11.32 tff(20259,plain,
% 16.14/11.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v96(constB148)) | (~v1(constB148))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148)))))))),
% 16.14/11.32 inference(monotonicity,[status(thm)],[20258])).
% 16.14/11.32 tff(20260,plain,
% 16.14/11.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v96(constB148)) | (~v1(constB148))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148))))))),
% 16.14/11.32 inference(transitivity,[status(thm)],[20259, 20257])).
% 16.14/11.32 tff(20261,plain,
% 16.14/11.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v96(constB148)) | (~v1(constB148))))))),
% 16.14/11.32 inference(quant_inst,[status(thm)],[])).
% 16.14/11.32 tff(20262,plain,
% 16.14/11.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148)))))),
% 16.14/11.32 inference(modus_ponens,[status(thm)],[20261, 20260])).
% 16.14/11.32 tff(20263,plain,
% 16.14/11.32 (v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148))))),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20262, 15106, 790])).
% 16.14/11.32 tff(20264,plain,
% 16.14/11.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB147, constB148)) | ((~v96(constB148)) <=> v98(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB147, constB148)) | ((~v96(constB148)) <=> v98(constB148)))),
% 16.14/11.32 inference(rewrite,[status(thm)],[])).
% 16.14/11.32 tff(20265,plain,
% 16.14/11.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB147, constB148)) | ((~v96(constB148)) <=> v98(constB148)))),
% 16.14/11.32 inference(quant_inst,[status(thm)],[])).
% 16.14/11.32 tff(20266,plain,
% 16.14/11.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB147, constB148)) | ((~v96(constB148)) <=> v98(constB148))),
% 16.14/11.32 inference(modus_ponens,[status(thm)],[20265, 20264])).
% 16.14/11.32 tff(20267,plain,
% 16.14/11.32 ((~v96(constB148)) <=> v98(constB148)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20266, 15106, 2332])).
% 16.14/11.32 tff(20268,plain,
% 16.14/11.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB147, constB148)) | (v98(constB148) <=> v1(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB147, constB148)) | (v98(constB148) <=> v1(constB147)))),
% 16.14/11.32 inference(rewrite,[status(thm)],[])).
% 16.14/11.32 tff(20269,plain,
% 16.14/11.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB147, constB148)) | (v98(constB148) <=> v1(constB147)))),
% 16.14/11.32 inference(quant_inst,[status(thm)],[])).
% 16.14/11.32 tff(20270,plain,
% 16.14/11.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB147, constB148)) | (v98(constB148) <=> v1(constB147))),
% 16.14/11.32 inference(modus_ponens,[status(thm)],[20269, 20268])).
% 16.14/11.32 tff(20271,plain,
% 16.14/11.32 (v98(constB148) <=> v1(constB147)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20270, 15106, 2346])).
% 16.14/11.32 tff(20272,plain,
% 16.14/11.32 ((~(v98(constB148) <=> v1(constB147))) | (~v98(constB148)) | v1(constB147)),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20273,plain,
% 16.14/11.32 ((~(v98(constB148) <=> v1(constB147))) | (~v98(constB148))),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20272, 15145])).
% 16.14/11.32 tff(20274,plain,
% 16.14/11.32 (~v98(constB148)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20273, 20271])).
% 16.14/11.32 tff(20275,plain,
% 16.14/11.32 ((~((~v96(constB148)) <=> v98(constB148))) | v96(constB148) | v98(constB148)),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20276,plain,
% 16.14/11.32 (v96(constB148)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20275, 20274, 20267])).
% 16.14/11.32 tff(20277,plain,
% 16.14/11.32 (v1(constB148) <=> v1(constB148)),
% 16.14/11.32 inference(rewrite,[status(thm)],[])).
% 16.14/11.32 tff(20278,axiom,(v1(constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_148')).
% 16.14/11.32 tff(20279,plain,
% 16.14/11.32 (v1(constB148)),
% 16.14/11.32 inference(modus_ponens,[status(thm)],[20278, 20277])).
% 16.14/11.32 tff(20280,plain,
% 16.14/11.32 ((~((~v1(constB148)) | (~v96(constB148)))) | (~v1(constB148)) | (~v96(constB148))),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20281,plain,
% 16.14/11.32 ((~((~v1(constB148)) | (~v96(constB148)))) | (~v96(constB148))),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20280, 20279])).
% 16.14/11.32 tff(20282,plain,
% 16.14/11.32 (~((~v1(constB148)) | (~v96(constB148)))),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20281, 20276])).
% 16.14/11.32 tff(20283,plain,
% 16.14/11.32 ((~(v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148)))))) | v95(constB148) | ((~v1(constB148)) | (~v96(constB148)))),
% 16.14/11.32 inference(tautology,[status(thm)],[])).
% 16.14/11.32 tff(20284,plain,
% 16.14/11.32 (v95(constB148)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20283, 20282, 20263])).
% 16.14/11.32 tff(20285,plain,
% 16.14/11.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB147, constB148)) | (v104(constB148) <=> v102(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB147, constB148)) | (v104(constB148) <=> v102(constB147)))),
% 16.14/11.32 inference(rewrite,[status(thm)],[])).
% 16.14/11.32 tff(20286,plain,
% 16.14/11.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB147, constB148)) | (v104(constB148) <=> v102(constB147)))),
% 16.14/11.32 inference(quant_inst,[status(thm)],[])).
% 16.14/11.32 tff(20287,plain,
% 16.14/11.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB147, constB148)) | (v104(constB148) <=> v102(constB147))),
% 16.14/11.32 inference(modus_ponens,[status(thm)],[20286, 20285])).
% 16.14/11.32 tff(20288,plain,
% 16.14/11.32 (v104(constB148) <=> v102(constB147)),
% 16.14/11.32 inference(unit_resolution,[status(thm)],[20287, 15106, 2373])).
% 16.14/11.33 tff(20289,plain,
% 16.14/11.33 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB147) <=> (v105(constB147) | v106(constB147)))),
% 16.14/11.33 inference(quant_inst,[status(thm)],[])).
% 16.14/11.33 tff(20290,plain,
% 16.14/11.33 (v102(constB147) <=> (v105(constB147) | v106(constB147))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20289, 2384])).
% 16.14/11.33 tff(20291,plain,
% 16.14/11.33 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB147) <=> (~((~v107(constB147)) | (~v120(constB147)))))),
% 16.14/11.33 inference(quant_inst,[status(thm)],[])).
% 16.14/11.33 tff(20292,plain,
% 16.14/11.33 (v106(constB147) <=> (~((~v107(constB147)) | (~v120(constB147))))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20291, 2396])).
% 16.14/11.33 tff(20293,plain,
% 16.14/11.33 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB147) <=> (v108(constB147) | v119(constB147)))),
% 16.14/11.33 inference(quant_inst,[status(thm)],[])).
% 16.14/11.33 tff(20294,plain,
% 16.14/11.33 (v107(constB147) <=> (v108(constB147) | v119(constB147))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20293, 2405])).
% 16.14/11.33 tff(20295,plain,
% 16.14/11.33 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB147) <=> (v109(constB147) | v118(constB147)))),
% 16.14/11.33 inference(quant_inst,[status(thm)],[])).
% 16.14/11.33 tff(20296,plain,
% 16.14/11.33 (v108(constB147) <=> (v109(constB147) | v118(constB147))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20295, 2414])).
% 16.14/11.33 tff(20297,plain,
% 16.14/11.33 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB147) <=> (v110(constB147) | v117(constB147)))),
% 16.14/11.33 inference(quant_inst,[status(thm)],[])).
% 16.14/11.33 tff(20298,plain,
% 16.14/11.33 (v109(constB147) <=> (v110(constB147) | v117(constB147))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20297, 2423])).
% 16.14/11.33 tff(20299,plain,
% 16.14/11.33 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB147) <=> (v111(constB147) | v116(constB147)))),
% 16.14/11.33 inference(quant_inst,[status(thm)],[])).
% 16.14/11.33 tff(20300,plain,
% 16.14/11.33 (v110(constB147) <=> (v111(constB147) | v116(constB147))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20299, 2432])).
% 16.14/11.33 tff(20301,plain,
% 16.14/11.33 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB147) <=> (v112(constB147) | v115(constB147)))),
% 16.14/11.33 inference(quant_inst,[status(thm)],[])).
% 16.14/11.33 tff(20302,plain,
% 16.14/11.33 (v111(constB147) <=> (v112(constB147) | v115(constB147))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20301, 2441])).
% 16.14/11.33 tff(20303,plain,
% 16.14/11.33 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB147) <=> (v113(constB147) | v114(constB147)))),
% 16.14/11.33 inference(quant_inst,[status(thm)],[])).
% 16.14/11.33 tff(20304,plain,
% 16.14/11.33 (v112(constB147) <=> (v113(constB147) | v114(constB147))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20303, 2450])).
% 16.14/11.33 tff(20305,plain,
% 16.14/11.33 ((v113(constB147) | v114(constB147)) | (~v114(constB147))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20306,plain,
% 16.14/11.33 (v113(constB147) | v114(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20305, 20238])).
% 16.14/11.33 tff(20307,plain,
% 16.14/11.33 ((~(v112(constB147) <=> (v113(constB147) | v114(constB147)))) | v112(constB147) | (~(v113(constB147) | v114(constB147)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20308,plain,
% 16.14/11.33 (v112(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20307, 20306, 20304])).
% 16.14/11.33 tff(20309,plain,
% 16.14/11.33 ((v112(constB147) | v115(constB147)) | (~v112(constB147))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20310,plain,
% 16.14/11.33 (v112(constB147) | v115(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20309, 20308])).
% 16.14/11.33 tff(20311,plain,
% 16.14/11.33 ((~(v111(constB147) <=> (v112(constB147) | v115(constB147)))) | v111(constB147) | (~(v112(constB147) | v115(constB147)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20312,plain,
% 16.14/11.33 (v111(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20311, 20310, 20302])).
% 16.14/11.33 tff(20313,plain,
% 16.14/11.33 ((v111(constB147) | v116(constB147)) | (~v111(constB147))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20314,plain,
% 16.14/11.33 (v111(constB147) | v116(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20313, 20312])).
% 16.14/11.33 tff(20315,plain,
% 16.14/11.33 ((~(v110(constB147) <=> (v111(constB147) | v116(constB147)))) | v110(constB147) | (~(v111(constB147) | v116(constB147)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20316,plain,
% 16.14/11.33 (v110(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20315, 20314, 20300])).
% 16.14/11.33 tff(20317,plain,
% 16.14/11.33 ((v110(constB147) | v117(constB147)) | (~v110(constB147))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20318,plain,
% 16.14/11.33 (v110(constB147) | v117(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20317, 20316])).
% 16.14/11.33 tff(20319,plain,
% 16.14/11.33 ((~(v109(constB147) <=> (v110(constB147) | v117(constB147)))) | v109(constB147) | (~(v110(constB147) | v117(constB147)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20320,plain,
% 16.14/11.33 (v109(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20319, 20318, 20298])).
% 16.14/11.33 tff(20321,plain,
% 16.14/11.33 ((v109(constB147) | v118(constB147)) | (~v109(constB147))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20322,plain,
% 16.14/11.33 (v109(constB147) | v118(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20321, 20320])).
% 16.14/11.33 tff(20323,plain,
% 16.14/11.33 ((~(v108(constB147) <=> (v109(constB147) | v118(constB147)))) | v108(constB147) | (~(v109(constB147) | v118(constB147)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20324,plain,
% 16.14/11.33 (v108(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20323, 20322, 20296])).
% 16.14/11.33 tff(20325,plain,
% 16.14/11.33 ((v108(constB147) | v119(constB147)) | (~v108(constB147))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20326,plain,
% 16.14/11.33 (v108(constB147) | v119(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20325, 20324])).
% 16.14/11.33 tff(20327,plain,
% 16.14/11.33 ((~(v107(constB147) <=> (v108(constB147) | v119(constB147)))) | v107(constB147) | (~(v108(constB147) | v119(constB147)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20328,plain,
% 16.14/11.33 (v107(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20327, 20326, 20294])).
% 16.14/11.33 tff(20329,plain,
% 16.14/11.33 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB147)) <=> v105(constB147))),
% 16.14/11.33 inference(quant_inst,[status(thm)],[])).
% 16.14/11.33 tff(20330,plain,
% 16.14/11.33 ((~v120(constB147)) <=> v105(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20329, 2484])).
% 16.14/11.33 tff(20331,plain,
% 16.14/11.33 ((~((~v120(constB147)) <=> v105(constB147))) | v120(constB147) | v105(constB147)),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20332,plain,
% 16.14/11.33 ((~((~v120(constB147)) <=> v105(constB147))) | v120(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20331, 15119])).
% 16.14/11.33 tff(20333,plain,
% 16.14/11.33 (v120(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20332, 20330])).
% 16.14/11.33 tff(20334,plain,
% 16.14/11.33 ((~((~v107(constB147)) | (~v120(constB147)))) | (~v107(constB147)) | (~v120(constB147))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20335,plain,
% 16.14/11.33 ((~((~v107(constB147)) | (~v120(constB147)))) | (~v107(constB147))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20334, 20333])).
% 16.14/11.33 tff(20336,plain,
% 16.14/11.33 (~((~v107(constB147)) | (~v120(constB147)))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20335, 20328])).
% 16.14/11.33 tff(20337,plain,
% 16.14/11.33 ((~(v106(constB147) <=> (~((~v107(constB147)) | (~v120(constB147)))))) | v106(constB147) | ((~v107(constB147)) | (~v120(constB147)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20338,plain,
% 16.14/11.33 (v106(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20337, 20336, 20292])).
% 16.14/11.33 tff(20339,plain,
% 16.14/11.33 ((v105(constB147) | v106(constB147)) | (~v106(constB147))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20340,plain,
% 16.14/11.33 (v105(constB147) | v106(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20339, 20338])).
% 16.14/11.33 tff(20341,plain,
% 16.14/11.33 ((~(v102(constB147) <=> (v105(constB147) | v106(constB147)))) | v102(constB147) | (~(v105(constB147) | v106(constB147)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20342,plain,
% 16.14/11.33 (v102(constB147)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20341, 20340, 20290])).
% 16.14/11.33 tff(20343,plain,
% 16.14/11.33 ((~(v104(constB148) <=> v102(constB147))) | v104(constB148) | (~v102(constB147))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20344,plain,
% 16.14/11.33 (v104(constB148)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20343, 20342, 20288])).
% 16.14/11.33 tff(20345,plain,
% 16.14/11.33 ((~((~v95(constB148)) | (~v104(constB148)))) | (~v95(constB148)) | (~v104(constB148))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20346,plain,
% 16.14/11.33 (~((~v95(constB148)) | (~v104(constB148)))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20345, 20344, 20284])).
% 16.14/11.33 tff(20347,plain,
% 16.14/11.33 ((~(v94(constB148) <=> (~((~v95(constB148)) | (~v104(constB148)))))) | v94(constB148) | ((~v95(constB148)) | (~v104(constB148)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20348,plain,
% 16.14/11.33 (v94(constB148)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20347, 20346, 20256])).
% 16.14/11.33 tff(20349,plain,
% 16.14/11.33 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB148)) | (~(((~v84(constB148, 2)) <=> v123(constB148, 2)) | ((~v84(constB148, 1)) <=> v123(constB148, 1)) | ((~v84(constB148, 0)) <=> v123(constB148, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB148)) | (~(((~v84(constB148, 2)) <=> v123(constB148, 2)) | ((~v84(constB148, 1)) <=> v123(constB148, 1)) | ((~v84(constB148, 0)) <=> v123(constB148, 0)))))),
% 16.14/11.33 inference(rewrite,[status(thm)],[])).
% 16.14/11.33 tff(20350,plain,
% 16.14/11.33 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB148)) | (~(((~v84(constB148, 2)) <=> v123(constB148, 2)) | ((~v84(constB148, 1)) <=> v123(constB148, 1)) | ((~v84(constB148, 0)) <=> v123(constB148, 0)))))),
% 16.14/11.33 inference(quant_inst,[status(thm)],[])).
% 16.14/11.33 tff(20351,plain,
% 16.14/11.33 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB148)) | (~(((~v84(constB148, 2)) <=> v123(constB148, 2)) | ((~v84(constB148, 1)) <=> v123(constB148, 1)) | ((~v84(constB148, 0)) <=> v123(constB148, 0))))),
% 16.14/11.33 inference(modus_ponens,[status(thm)],[20350, 20349])).
% 16.14/11.33 tff(20352,plain,
% 16.14/11.33 ((~v94(constB148)) | (~(((~v84(constB148, 2)) <=> v123(constB148, 2)) | ((~v84(constB148, 1)) <=> v123(constB148, 1)) | ((~v84(constB148, 0)) <=> v123(constB148, 0))))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20351, 2517])).
% 16.14/11.33 tff(20353,plain,
% 16.14/11.33 (~(((~v84(constB148, 2)) <=> v123(constB148, 2)) | ((~v84(constB148, 1)) <=> v123(constB148, 1)) | ((~v84(constB148, 0)) <=> v123(constB148, 0)))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20352, 20348])).
% 16.14/11.33 tff(20354,plain,
% 16.14/11.33 ((((~v84(constB148, 2)) <=> v123(constB148, 2)) | ((~v84(constB148, 1)) <=> v123(constB148, 1)) | ((~v84(constB148, 0)) <=> v123(constB148, 0))) | (~((~v84(constB148, 2)) <=> v123(constB148, 2)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20355,plain,
% 16.14/11.33 (~((~v84(constB148, 2)) <=> v123(constB148, 2))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20354, 20353])).
% 16.14/11.33 tff(20356,plain,
% 16.14/11.33 (((~v84(constB148, 2)) <=> v123(constB148, 2)) | (~v84(constB148, 2)) | v123(constB148, 2)),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20357,plain,
% 16.14/11.33 (~v84(constB148, 2)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20356, 20355, 20252])).
% 16.14/11.33 tff(20358,plain,
% 16.14/11.33 (((~v84(constB149, 2)) <=> v84(constB148, 2)) | (~v84(constB149, 2)) | v84(constB148, 2)),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20359,plain,
% 16.14/11.33 (~v84(constB149, 2)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20358, 20357, 15103])).
% 16.14/11.33 tff(20360,plain,
% 16.14/11.33 ((((~v84(constB149, 1)) <=> v84(constB148, 1)) | ((~v84(constB149, 2)) <=> v84(constB148, 2)) | ((~v84(constB149, 0)) <=> v84(constB148, 0))) | (~((~v84(constB149, 0)) <=> v84(constB148, 0)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20361,plain,
% 16.14/11.33 (~((~v84(constB149, 0)) <=> v84(constB148, 0))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20360, 15101])).
% 16.14/11.33 tff(20362,plain,
% 16.14/11.33 ((((~v123(constB148, 2)) <=> v121(constB147, 2)) | ((~v123(constB148, 1)) <=> v121(constB147, 1)) | ((~v123(constB148, 0)) <=> v121(constB147, 0))) | (~((~v123(constB148, 0)) <=> v121(constB147, 0)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20363,plain,
% 16.14/11.33 (~((~v123(constB148, 0)) <=> v121(constB147, 0))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20362, 15110])).
% 16.14/11.33 tff(20364,plain,
% 16.14/11.33 ((((~v121(constB147, 2)) <=> v124(constB147, 2)) | ((~v121(constB147, 0)) <=> v124(constB147, 0)) | ((~v121(constB147, 1)) <=> v124(constB147, 1))) | (~((~v121(constB147, 0)) <=> v124(constB147, 0)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20365,plain,
% 16.14/11.33 (~((~v121(constB147, 0)) <=> v124(constB147, 0))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20364, 15124])).
% 16.14/11.33 tff(20366,plain,
% 16.14/11.33 ((v124(constB147, 2) | v124(constB147, 0) | (~v124(constB147, 1))) | (~v124(constB147, 0))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20367,plain,
% 16.14/11.33 (~v124(constB147, 0)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20366, 20246])).
% 16.14/11.33 tff(20368,plain,
% 16.14/11.33 (((~v121(constB147, 0)) <=> v124(constB147, 0)) | (~v121(constB147, 0)) | v124(constB147, 0)),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20369,plain,
% 16.14/11.33 (~v121(constB147, 0)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20368, 20367, 20365])).
% 16.14/11.33 tff(20370,plain,
% 16.14/11.33 (((~v123(constB148, 0)) <=> v121(constB147, 0)) | (~v123(constB148, 0)) | v121(constB147, 0)),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20371,plain,
% 16.14/11.33 (~v123(constB148, 0)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20370, 20369, 20363])).
% 16.14/11.33 tff(20372,plain,
% 16.14/11.33 ((((~v84(constB148, 2)) <=> v123(constB148, 2)) | ((~v84(constB148, 1)) <=> v123(constB148, 1)) | ((~v84(constB148, 0)) <=> v123(constB148, 0))) | (~((~v84(constB148, 0)) <=> v123(constB148, 0)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20373,plain,
% 16.14/11.33 (~((~v84(constB148, 0)) <=> v123(constB148, 0))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20372, 20353])).
% 16.14/11.33 tff(20374,plain,
% 16.14/11.33 (((~v84(constB148, 0)) <=> v123(constB148, 0)) | (~v84(constB148, 0)) | v123(constB148, 0)),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20375,plain,
% 16.14/11.33 (~v84(constB148, 0)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20374, 20373, 20371])).
% 16.14/11.33 tff(20376,plain,
% 16.14/11.33 (((~v84(constB149, 0)) <=> v84(constB148, 0)) | (~v84(constB149, 0)) | v84(constB148, 0)),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20377,plain,
% 16.14/11.33 (~v84(constB149, 0)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20376, 20375, 20361])).
% 16.14/11.33 tff(20378,plain,
% 16.14/11.33 ((((~v84(constB149, 1)) <=> v84(constB148, 1)) | ((~v84(constB149, 2)) <=> v84(constB148, 2)) | ((~v84(constB149, 0)) <=> v84(constB148, 0))) | (~((~v84(constB149, 1)) <=> v84(constB148, 1)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20379,plain,
% 16.14/11.33 (~((~v84(constB149, 1)) <=> v84(constB148, 1))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20378, 15101])).
% 16.14/11.33 tff(20380,plain,
% 16.14/11.33 ((((~v123(constB148, 2)) <=> v121(constB147, 2)) | ((~v123(constB148, 1)) <=> v121(constB147, 1)) | ((~v123(constB148, 0)) <=> v121(constB147, 0))) | (~((~v123(constB148, 1)) <=> v121(constB147, 1)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20381,plain,
% 16.14/11.33 (~((~v123(constB148, 1)) <=> v121(constB147, 1))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20380, 15110])).
% 16.14/11.33 tff(20382,plain,
% 16.14/11.33 ((((~v121(constB147, 2)) <=> v124(constB147, 2)) | ((~v121(constB147, 0)) <=> v124(constB147, 0)) | ((~v121(constB147, 1)) <=> v124(constB147, 1))) | (~((~v121(constB147, 1)) <=> v124(constB147, 1)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20383,plain,
% 16.14/11.33 (~((~v121(constB147, 1)) <=> v124(constB147, 1))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20382, 15124])).
% 16.14/11.33 tff(20384,plain,
% 16.14/11.33 ((v124(constB147, 2) | v124(constB147, 0) | (~v124(constB147, 1))) | v124(constB147, 1)),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20385,plain,
% 16.14/11.33 (v124(constB147, 1)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20384, 20246])).
% 16.14/11.33 tff(20386,plain,
% 16.14/11.33 (((~v121(constB147, 1)) <=> v124(constB147, 1)) | v121(constB147, 1) | (~v124(constB147, 1))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20387,plain,
% 16.14/11.33 (v121(constB147, 1)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20386, 20385, 20383])).
% 16.14/11.33 tff(20388,plain,
% 16.14/11.33 (((~v123(constB148, 1)) <=> v121(constB147, 1)) | v123(constB148, 1) | (~v121(constB147, 1))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20389,plain,
% 16.14/11.33 (v123(constB148, 1)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20388, 20387, 20381])).
% 16.14/11.33 tff(20390,plain,
% 16.14/11.33 ((((~v84(constB148, 2)) <=> v123(constB148, 2)) | ((~v84(constB148, 1)) <=> v123(constB148, 1)) | ((~v84(constB148, 0)) <=> v123(constB148, 0))) | (~((~v84(constB148, 1)) <=> v123(constB148, 1)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20391,plain,
% 16.14/11.33 (~((~v84(constB148, 1)) <=> v123(constB148, 1))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20390, 20353])).
% 16.14/11.33 tff(20392,plain,
% 16.14/11.33 (((~v84(constB148, 1)) <=> v123(constB148, 1)) | v84(constB148, 1) | (~v123(constB148, 1))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20393,plain,
% 16.14/11.33 (v84(constB148, 1)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20392, 20391, 20389])).
% 16.14/11.33 tff(20394,plain,
% 16.14/11.33 (((~v84(constB149, 1)) <=> v84(constB148, 1)) | v84(constB149, 1) | (~v84(constB148, 1))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20395,plain,
% 16.14/11.33 (v84(constB149, 1)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20394, 20393, 20379])).
% 16.14/11.33 tff(20396,plain,
% 16.14/11.33 ((~(v84(constB149, 2) | v84(constB149, 0) | (~v84(constB149, 1)))) | v84(constB149, 2) | v84(constB149, 0) | (~v84(constB149, 1))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20397,plain,
% 16.14/11.33 (~(v84(constB149, 2) | v84(constB149, 0) | (~v84(constB149, 1)))),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20396, 20395, 20377, 20359])).
% 16.14/11.33 tff(20398,plain,
% 16.14/11.33 ((~(v115(constB149) <=> (~(v84(constB149, 2) | v84(constB149, 0) | (~v84(constB149, 1)))))) | v115(constB149) | (v84(constB149, 2) | v84(constB149, 0) | (~v84(constB149, 1)))),
% 16.14/11.33 inference(tautology,[status(thm)],[])).
% 16.14/11.33 tff(20399,plain,
% 16.14/11.33 (v115(constB149)),
% 16.14/11.33 inference(unit_resolution,[status(thm)],[20398, 20397, 15067])).
% 16.14/11.33 tff(20400,plain,
% 16.14/11.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB149)) | (~(v124(constB149, 2) | (~v124(constB149, 0)) | (~v124(constB149, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB149)) | (~(v124(constB149, 2) | (~v124(constB149, 0)) | (~v124(constB149, 1)))))),
% 16.14/11.33 inference(rewrite,[status(thm)],[])).
% 16.14/11.33 tff(20401,plain,
% 16.14/11.33 (((~v115(constB149)) | (~(v124(constB149, 2) | (~v124(constB149, 1)) | (~v124(constB149, 0))))) <=> ((~v115(constB149)) | (~(v124(constB149, 2) | (~v124(constB149, 0)) | (~v124(constB149, 1)))))),
% 16.14/11.33 inference(rewrite,[status(thm)],[])).
% 16.14/11.33 tff(20402,plain,
% 16.14/11.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB149)) | (~(v124(constB149, 2) | (~v124(constB149, 1)) | (~v124(constB149, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB149)) | (~(v124(constB149, 2) | (~v124(constB149, 0)) | (~v124(constB149, 1))))))),
% 16.14/11.33 inference(monotonicity,[status(thm)],[20401])).
% 16.14/11.33 tff(20403,plain,
% 16.14/11.33 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB149)) | (~(v124(constB149, 2) | (~v124(constB149, 1)) | (~v124(constB149, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB149)) | (~(v124(constB149, 2) | (~v124(constB149, 0)) | (~v124(constB149, 1)))))),
% 16.14/11.33 inference(transitivity,[status(thm)],[20402, 20400])).
% 16.14/11.33 tff(20404,plain,
% 16.14/11.33 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB149)) | (~(v124(constB149, 2) | (~v124(constB149, 1)) | (~v124(constB149, 0)))))),
% 16.14/11.34 inference(quant_inst,[status(thm)],[])).
% 16.14/11.34 tff(20405,plain,
% 16.14/11.34 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB149)) | (~(v124(constB149, 2) | (~v124(constB149, 0)) | (~v124(constB149, 1))))),
% 16.14/11.34 inference(modus_ponens,[status(thm)],[20404, 20403])).
% 16.14/11.34 tff(20406,plain,
% 16.14/11.34 ((~v115(constB149)) | (~(v124(constB149, 2) | (~v124(constB149, 0)) | (~v124(constB149, 1))))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20405, 3138])).
% 16.14/11.34 tff(20407,plain,
% 16.14/11.34 (~(v124(constB149, 2) | (~v124(constB149, 0)) | (~v124(constB149, 1)))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20406, 20399])).
% 16.14/11.34 tff(20408,plain,
% 16.14/11.34 ((v124(constB149, 2) | (~v124(constB149, 0)) | (~v124(constB149, 1))) | (~v124(constB149, 2))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20409,plain,
% 16.14/11.34 (~v124(constB149, 2)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20408, 20407])).
% 16.14/11.34 tff(20410,plain,
% 16.14/11.34 (((~v121(constB149, 2)) <=> v124(constB149, 2)) | (~v121(constB149, 2)) | v124(constB149, 2)),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20411,plain,
% 16.14/11.34 (~v121(constB149, 2)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20410, 20409, 15060])).
% 16.14/11.34 tff(20412,plain,
% 16.14/11.34 (((~v123(constB150, 2)) <=> v121(constB149, 2)) | (~v123(constB150, 2)) | v121(constB149, 2)),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20413,plain,
% 16.14/11.34 (~v123(constB150, 2)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20412, 20411, 15046])).
% 16.14/11.34 tff(20414,plain,
% 16.14/11.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB149, constB150)) | (v94(constB150) <=> (~((~v95(constB150)) | (~v104(constB150))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB149, constB150)) | (v94(constB150) <=> (~((~v95(constB150)) | (~v104(constB150))))))),
% 16.14/11.34 inference(rewrite,[status(thm)],[])).
% 16.14/11.34 tff(20415,plain,
% 16.14/11.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB149, constB150)) | (v94(constB150) <=> (~((~v95(constB150)) | (~v104(constB150))))))),
% 16.14/11.34 inference(quant_inst,[status(thm)],[])).
% 16.14/11.34 tff(20416,plain,
% 16.14/11.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB149, constB150)) | (v94(constB150) <=> (~((~v95(constB150)) | (~v104(constB150)))))),
% 16.14/11.34 inference(modus_ponens,[status(thm)],[20415, 20414])).
% 16.14/11.34 tff(20417,plain,
% 16.14/11.34 (v94(constB150) <=> (~((~v95(constB150)) | (~v104(constB150))))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20416, 15040, 770])).
% 16.14/11.34 tff(20418,plain,
% 16.14/11.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150))))))),
% 16.14/11.34 inference(rewrite,[status(thm)],[])).
% 16.14/11.34 tff(20419,plain,
% 16.14/11.34 (((~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v96(constB150)) | (~v1(constB150)))))) <=> ((~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150))))))),
% 16.14/11.34 inference(rewrite,[status(thm)],[])).
% 16.14/11.34 tff(20420,plain,
% 16.14/11.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v96(constB150)) | (~v1(constB150))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150)))))))),
% 16.14/11.34 inference(monotonicity,[status(thm)],[20419])).
% 16.14/11.34 tff(20421,plain,
% 16.14/11.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v96(constB150)) | (~v1(constB150))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150))))))),
% 16.14/11.34 inference(transitivity,[status(thm)],[20420, 20418])).
% 16.14/11.34 tff(20422,plain,
% 16.14/11.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v96(constB150)) | (~v1(constB150))))))),
% 16.14/11.34 inference(quant_inst,[status(thm)],[])).
% 16.14/11.34 tff(20423,plain,
% 16.14/11.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150)))))),
% 16.14/11.34 inference(modus_ponens,[status(thm)],[20422, 20421])).
% 16.14/11.34 tff(20424,plain,
% 16.14/11.34 (v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150))))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20423, 15040, 790])).
% 16.14/11.34 tff(20425,plain,
% 16.14/11.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB149, constB150)) | ((~v96(constB150)) <=> v98(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB149, constB150)) | ((~v96(constB150)) <=> v98(constB150)))),
% 16.14/11.34 inference(rewrite,[status(thm)],[])).
% 16.14/11.34 tff(20426,plain,
% 16.14/11.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB149, constB150)) | ((~v96(constB150)) <=> v98(constB150)))),
% 16.14/11.34 inference(quant_inst,[status(thm)],[])).
% 16.14/11.34 tff(20427,plain,
% 16.14/11.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB149, constB150)) | ((~v96(constB150)) <=> v98(constB150))),
% 16.14/11.34 inference(modus_ponens,[status(thm)],[20426, 20425])).
% 16.14/11.34 tff(20428,plain,
% 16.14/11.34 ((~v96(constB150)) <=> v98(constB150)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20427, 15040, 2332])).
% 16.14/11.34 tff(20429,plain,
% 16.14/11.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB149, constB150)) | (v98(constB150) <=> v1(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB149, constB150)) | (v98(constB150) <=> v1(constB149)))),
% 16.14/11.34 inference(rewrite,[status(thm)],[])).
% 16.14/11.34 tff(20430,plain,
% 16.14/11.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB149, constB150)) | (v98(constB150) <=> v1(constB149)))),
% 16.14/11.34 inference(quant_inst,[status(thm)],[])).
% 16.14/11.34 tff(20431,plain,
% 16.14/11.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB149, constB150)) | (v98(constB150) <=> v1(constB149))),
% 16.14/11.34 inference(modus_ponens,[status(thm)],[20430, 20429])).
% 16.14/11.34 tff(20432,plain,
% 16.14/11.34 (v98(constB150) <=> v1(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20431, 15040, 2346])).
% 16.14/11.34 tff(20433,plain,
% 16.14/11.34 ((~(v98(constB150) <=> v1(constB149))) | (~v98(constB150)) | v1(constB149)),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20434,plain,
% 16.14/11.34 ((~(v98(constB150) <=> v1(constB149))) | (~v98(constB150))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20433, 15084])).
% 16.14/11.34 tff(20435,plain,
% 16.14/11.34 (~v98(constB150)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20434, 20432])).
% 16.14/11.34 tff(20436,plain,
% 16.14/11.34 ((~((~v96(constB150)) <=> v98(constB150))) | v96(constB150) | v98(constB150)),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20437,plain,
% 16.14/11.34 (v96(constB150)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20436, 20435, 20428])).
% 16.14/11.34 tff(20438,plain,
% 16.14/11.34 (v1(constB150) <=> v1(constB150)),
% 16.14/11.34 inference(rewrite,[status(thm)],[])).
% 16.14/11.34 tff(20439,axiom,(v1(constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_150')).
% 16.14/11.34 tff(20440,plain,
% 16.14/11.34 (v1(constB150)),
% 16.14/11.34 inference(modus_ponens,[status(thm)],[20439, 20438])).
% 16.14/11.34 tff(20441,plain,
% 16.14/11.34 ((~((~v1(constB150)) | (~v96(constB150)))) | (~v1(constB150)) | (~v96(constB150))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20442,plain,
% 16.14/11.34 ((~((~v1(constB150)) | (~v96(constB150)))) | (~v96(constB150))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20441, 20440])).
% 16.14/11.34 tff(20443,plain,
% 16.14/11.34 (~((~v1(constB150)) | (~v96(constB150)))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20442, 20437])).
% 16.14/11.34 tff(20444,plain,
% 16.14/11.34 ((~(v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150)))))) | v95(constB150) | ((~v1(constB150)) | (~v96(constB150)))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20445,plain,
% 16.14/11.34 (v95(constB150)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20444, 20443, 20424])).
% 16.14/11.34 tff(20446,plain,
% 16.14/11.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB149, constB150)) | (v104(constB150) <=> v102(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB149, constB150)) | (v104(constB150) <=> v102(constB149)))),
% 16.14/11.34 inference(rewrite,[status(thm)],[])).
% 16.14/11.34 tff(20447,plain,
% 16.14/11.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB149, constB150)) | (v104(constB150) <=> v102(constB149)))),
% 16.14/11.34 inference(quant_inst,[status(thm)],[])).
% 16.14/11.34 tff(20448,plain,
% 16.14/11.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB149, constB150)) | (v104(constB150) <=> v102(constB149))),
% 16.14/11.34 inference(modus_ponens,[status(thm)],[20447, 20446])).
% 16.14/11.34 tff(20449,plain,
% 16.14/11.34 (v104(constB150) <=> v102(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20448, 15040, 2373])).
% 16.14/11.34 tff(20450,plain,
% 16.14/11.34 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB149) <=> (v105(constB149) | v106(constB149)))),
% 16.14/11.34 inference(quant_inst,[status(thm)],[])).
% 16.14/11.34 tff(20451,plain,
% 16.14/11.34 (v102(constB149) <=> (v105(constB149) | v106(constB149))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20450, 2384])).
% 16.14/11.34 tff(20452,plain,
% 16.14/11.34 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB149) <=> (~((~v107(constB149)) | (~v120(constB149)))))),
% 16.14/11.34 inference(quant_inst,[status(thm)],[])).
% 16.14/11.34 tff(20453,plain,
% 16.14/11.34 (v106(constB149) <=> (~((~v107(constB149)) | (~v120(constB149))))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20452, 2396])).
% 16.14/11.34 tff(20454,plain,
% 16.14/11.34 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB149) <=> (v108(constB149) | v119(constB149)))),
% 16.14/11.34 inference(quant_inst,[status(thm)],[])).
% 16.14/11.34 tff(20455,plain,
% 16.14/11.34 (v107(constB149) <=> (v108(constB149) | v119(constB149))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20454, 2405])).
% 16.14/11.34 tff(20456,plain,
% 16.14/11.34 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB149) <=> (v109(constB149) | v118(constB149)))),
% 16.14/11.34 inference(quant_inst,[status(thm)],[])).
% 16.14/11.34 tff(20457,plain,
% 16.14/11.34 (v108(constB149) <=> (v109(constB149) | v118(constB149))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20456, 2414])).
% 16.14/11.34 tff(20458,plain,
% 16.14/11.34 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB149) <=> (v110(constB149) | v117(constB149)))),
% 16.14/11.34 inference(quant_inst,[status(thm)],[])).
% 16.14/11.34 tff(20459,plain,
% 16.14/11.34 (v109(constB149) <=> (v110(constB149) | v117(constB149))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20458, 2423])).
% 16.14/11.34 tff(20460,plain,
% 16.14/11.34 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB149) <=> (v111(constB149) | v116(constB149)))),
% 16.14/11.34 inference(quant_inst,[status(thm)],[])).
% 16.14/11.34 tff(20461,plain,
% 16.14/11.34 (v110(constB149) <=> (v111(constB149) | v116(constB149))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20460, 2432])).
% 16.14/11.34 tff(20462,plain,
% 16.14/11.34 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB149) <=> (v112(constB149) | v115(constB149)))),
% 16.14/11.34 inference(quant_inst,[status(thm)],[])).
% 16.14/11.34 tff(20463,plain,
% 16.14/11.34 (v111(constB149) <=> (v112(constB149) | v115(constB149))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20462, 2441])).
% 16.14/11.34 tff(20464,plain,
% 16.14/11.34 ((v112(constB149) | v115(constB149)) | (~v115(constB149))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20465,plain,
% 16.14/11.34 (v112(constB149) | v115(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20464, 20399])).
% 16.14/11.34 tff(20466,plain,
% 16.14/11.34 ((~(v111(constB149) <=> (v112(constB149) | v115(constB149)))) | v111(constB149) | (~(v112(constB149) | v115(constB149)))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20467,plain,
% 16.14/11.34 (v111(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20466, 20465, 20463])).
% 16.14/11.34 tff(20468,plain,
% 16.14/11.34 ((v111(constB149) | v116(constB149)) | (~v111(constB149))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20469,plain,
% 16.14/11.34 (v111(constB149) | v116(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20468, 20467])).
% 16.14/11.34 tff(20470,plain,
% 16.14/11.34 ((~(v110(constB149) <=> (v111(constB149) | v116(constB149)))) | v110(constB149) | (~(v111(constB149) | v116(constB149)))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20471,plain,
% 16.14/11.34 (v110(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20470, 20469, 20461])).
% 16.14/11.34 tff(20472,plain,
% 16.14/11.34 ((v110(constB149) | v117(constB149)) | (~v110(constB149))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20473,plain,
% 16.14/11.34 (v110(constB149) | v117(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20472, 20471])).
% 16.14/11.34 tff(20474,plain,
% 16.14/11.34 ((~(v109(constB149) <=> (v110(constB149) | v117(constB149)))) | v109(constB149) | (~(v110(constB149) | v117(constB149)))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20475,plain,
% 16.14/11.34 (v109(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20474, 20473, 20459])).
% 16.14/11.34 tff(20476,plain,
% 16.14/11.34 ((v109(constB149) | v118(constB149)) | (~v109(constB149))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20477,plain,
% 16.14/11.34 (v109(constB149) | v118(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20476, 20475])).
% 16.14/11.34 tff(20478,plain,
% 16.14/11.34 ((~(v108(constB149) <=> (v109(constB149) | v118(constB149)))) | v108(constB149) | (~(v109(constB149) | v118(constB149)))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20479,plain,
% 16.14/11.34 (v108(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20478, 20477, 20457])).
% 16.14/11.34 tff(20480,plain,
% 16.14/11.34 ((v108(constB149) | v119(constB149)) | (~v108(constB149))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20481,plain,
% 16.14/11.34 (v108(constB149) | v119(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20480, 20479])).
% 16.14/11.34 tff(20482,plain,
% 16.14/11.34 ((~(v107(constB149) <=> (v108(constB149) | v119(constB149)))) | v107(constB149) | (~(v108(constB149) | v119(constB149)))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20483,plain,
% 16.14/11.34 (v107(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20482, 20481, 20455])).
% 16.14/11.34 tff(20484,plain,
% 16.14/11.34 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB149)) <=> v105(constB149))),
% 16.14/11.34 inference(quant_inst,[status(thm)],[])).
% 16.14/11.34 tff(20485,plain,
% 16.14/11.34 ((~v120(constB149)) <=> v105(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20484, 2484])).
% 16.14/11.34 tff(20486,plain,
% 16.14/11.34 ((~((~v120(constB149)) <=> v105(constB149))) | v120(constB149) | v105(constB149)),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20487,plain,
% 16.14/11.34 ((~((~v120(constB149)) <=> v105(constB149))) | v120(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20486, 15053])).
% 16.14/11.34 tff(20488,plain,
% 16.14/11.34 (v120(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20487, 20485])).
% 16.14/11.34 tff(20489,plain,
% 16.14/11.34 ((~((~v107(constB149)) | (~v120(constB149)))) | (~v107(constB149)) | (~v120(constB149))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20490,plain,
% 16.14/11.34 ((~((~v107(constB149)) | (~v120(constB149)))) | (~v107(constB149))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20489, 20488])).
% 16.14/11.34 tff(20491,plain,
% 16.14/11.34 (~((~v107(constB149)) | (~v120(constB149)))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20490, 20483])).
% 16.14/11.34 tff(20492,plain,
% 16.14/11.34 ((~(v106(constB149) <=> (~((~v107(constB149)) | (~v120(constB149)))))) | v106(constB149) | ((~v107(constB149)) | (~v120(constB149)))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20493,plain,
% 16.14/11.34 (v106(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20492, 20491, 20453])).
% 16.14/11.34 tff(20494,plain,
% 16.14/11.34 ((v105(constB149) | v106(constB149)) | (~v106(constB149))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20495,plain,
% 16.14/11.34 (v105(constB149) | v106(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20494, 20493])).
% 16.14/11.34 tff(20496,plain,
% 16.14/11.34 ((~(v102(constB149) <=> (v105(constB149) | v106(constB149)))) | v102(constB149) | (~(v105(constB149) | v106(constB149)))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20497,plain,
% 16.14/11.34 (v102(constB149)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20496, 20495, 20451])).
% 16.14/11.34 tff(20498,plain,
% 16.14/11.34 ((~(v104(constB150) <=> v102(constB149))) | v104(constB150) | (~v102(constB149))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20499,plain,
% 16.14/11.34 (v104(constB150)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20498, 20497, 20449])).
% 16.14/11.34 tff(20500,plain,
% 16.14/11.34 ((~((~v95(constB150)) | (~v104(constB150)))) | (~v95(constB150)) | (~v104(constB150))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20501,plain,
% 16.14/11.34 (~((~v95(constB150)) | (~v104(constB150)))),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20500, 20499, 20445])).
% 16.14/11.34 tff(20502,plain,
% 16.14/11.34 ((~(v94(constB150) <=> (~((~v95(constB150)) | (~v104(constB150)))))) | v94(constB150) | ((~v95(constB150)) | (~v104(constB150)))),
% 16.14/11.34 inference(tautology,[status(thm)],[])).
% 16.14/11.34 tff(20503,plain,
% 16.14/11.34 (v94(constB150)),
% 16.14/11.34 inference(unit_resolution,[status(thm)],[20502, 20501, 20417])).
% 16.14/11.34 tff(20504,plain,
% 16.14/11.34 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB150)) | (~(((~v84(constB150, 0)) <=> v123(constB150, 0)) | ((~v84(constB150, 2)) <=> v123(constB150, 2)) | ((~v84(constB150, 1)) <=> v123(constB150, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB150)) | (~(((~v84(constB150, 0)) <=> v123(constB150, 0)) | ((~v84(constB150, 2)) <=> v123(constB150, 2)) | ((~v84(constB150, 1)) <=> v123(constB150, 1)))))),
% 16.14/11.34 inference(rewrite,[status(thm)],[])).
% 16.14/11.34 tff(20505,plain,
% 16.14/11.34 (((~v94(constB150)) | (~(((~v84(constB150, 2)) <=> v123(constB150, 2)) | ((~v84(constB150, 1)) <=> v123(constB150, 1)) | ((~v84(constB150, 0)) <=> v123(constB150, 0))))) <=> ((~v94(constB150)) | (~(((~v84(constB150, 0)) <=> v123(constB150, 0)) | ((~v84(constB150, 2)) <=> v123(constB150, 2)) | ((~v84(constB150, 1)) <=> v123(constB150, 1)))))),
% 16.14/11.34 inference(rewrite,[status(thm)],[])).
% 16.14/11.34 tff(20506,plain,
% 16.14/11.34 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB150)) | (~(((~v84(constB150, 2)) <=> v123(constB150, 2)) | ((~v84(constB150, 1)) <=> v123(constB150, 1)) | ((~v84(constB150, 0)) <=> v123(constB150, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB150)) | (~(((~v84(constB150, 0)) <=> v123(constB150, 0)) | ((~v84(constB150, 2)) <=> v123(constB150, 2)) | ((~v84(constB150, 1)) <=> v123(constB150, 1))))))),
% 16.14/11.35 inference(monotonicity,[status(thm)],[20505])).
% 16.14/11.35 tff(20507,plain,
% 16.14/11.35 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB150)) | (~(((~v84(constB150, 2)) <=> v123(constB150, 2)) | ((~v84(constB150, 1)) <=> v123(constB150, 1)) | ((~v84(constB150, 0)) <=> v123(constB150, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB150)) | (~(((~v84(constB150, 0)) <=> v123(constB150, 0)) | ((~v84(constB150, 2)) <=> v123(constB150, 2)) | ((~v84(constB150, 1)) <=> v123(constB150, 1)))))),
% 16.14/11.35 inference(transitivity,[status(thm)],[20506, 20504])).
% 16.14/11.35 tff(20508,plain,
% 16.14/11.35 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB150)) | (~(((~v84(constB150, 2)) <=> v123(constB150, 2)) | ((~v84(constB150, 1)) <=> v123(constB150, 1)) | ((~v84(constB150, 0)) <=> v123(constB150, 0)))))),
% 16.14/11.35 inference(quant_inst,[status(thm)],[])).
% 16.14/11.35 tff(20509,plain,
% 16.14/11.35 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB150)) | (~(((~v84(constB150, 0)) <=> v123(constB150, 0)) | ((~v84(constB150, 2)) <=> v123(constB150, 2)) | ((~v84(constB150, 1)) <=> v123(constB150, 1))))),
% 16.14/11.35 inference(modus_ponens,[status(thm)],[20508, 20507])).
% 16.14/11.35 tff(20510,plain,
% 16.14/11.35 ((~v94(constB150)) | (~(((~v84(constB150, 0)) <=> v123(constB150, 0)) | ((~v84(constB150, 2)) <=> v123(constB150, 2)) | ((~v84(constB150, 1)) <=> v123(constB150, 1))))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20509, 2517])).
% 16.14/11.35 tff(20511,plain,
% 16.14/11.35 (~(((~v84(constB150, 0)) <=> v123(constB150, 0)) | ((~v84(constB150, 2)) <=> v123(constB150, 2)) | ((~v84(constB150, 1)) <=> v123(constB150, 1)))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20510, 20503])).
% 16.14/11.35 tff(20512,plain,
% 16.14/11.35 ((((~v84(constB150, 0)) <=> v123(constB150, 0)) | ((~v84(constB150, 2)) <=> v123(constB150, 2)) | ((~v84(constB150, 1)) <=> v123(constB150, 1))) | (~((~v84(constB150, 2)) <=> v123(constB150, 2)))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20513,plain,
% 16.14/11.35 (~((~v84(constB150, 2)) <=> v123(constB150, 2))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20512, 20511])).
% 16.14/11.35 tff(20514,plain,
% 16.14/11.35 (((~v84(constB150, 2)) <=> v123(constB150, 2)) | (~v84(constB150, 2)) | v123(constB150, 2)),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20515,plain,
% 16.14/11.35 (~v84(constB150, 2)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20514, 20513, 20413])).
% 16.14/11.35 tff(20516,plain,
% 16.14/11.35 (((~v84(constB151, 2)) <=> v84(constB150, 2)) | (~v84(constB151, 2)) | v84(constB150, 2)),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20517,plain,
% 16.14/11.35 (~v84(constB151, 2)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20516, 20515, 15037])).
% 16.14/11.35 tff(20518,plain,
% 16.14/11.35 ((((~v84(constB151, 1)) <=> v84(constB150, 1)) | ((~v84(constB151, 2)) <=> v84(constB150, 2)) | ((~v84(constB151, 0)) <=> v84(constB150, 0))) | (~((~v84(constB151, 0)) <=> v84(constB150, 0)))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20519,plain,
% 16.14/11.35 (~((~v84(constB151, 0)) <=> v84(constB150, 0))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20518, 15035])).
% 16.14/11.35 tff(20520,plain,
% 16.14/11.35 ((((~v123(constB150, 2)) <=> v121(constB149, 2)) | ((~v123(constB150, 1)) <=> v121(constB149, 1)) | ((~v123(constB150, 0)) <=> v121(constB149, 0))) | (~((~v123(constB150, 0)) <=> v121(constB149, 0)))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20521,plain,
% 16.14/11.35 (~((~v123(constB150, 0)) <=> v121(constB149, 0))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20520, 15044])).
% 16.14/11.35 tff(20522,plain,
% 16.14/11.35 ((((~v121(constB149, 2)) <=> v124(constB149, 2)) | ((~v121(constB149, 0)) <=> v124(constB149, 0)) | ((~v121(constB149, 1)) <=> v124(constB149, 1))) | (~((~v121(constB149, 0)) <=> v124(constB149, 0)))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20523,plain,
% 16.14/11.35 (~((~v121(constB149, 0)) <=> v124(constB149, 0))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20522, 15058])).
% 16.14/11.35 tff(20524,plain,
% 16.14/11.35 ((v124(constB149, 2) | (~v124(constB149, 0)) | (~v124(constB149, 1))) | v124(constB149, 0)),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20525,plain,
% 16.14/11.35 (v124(constB149, 0)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20524, 20407])).
% 16.14/11.35 tff(20526,plain,
% 16.14/11.35 (((~v121(constB149, 0)) <=> v124(constB149, 0)) | v121(constB149, 0) | (~v124(constB149, 0))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20527,plain,
% 16.14/11.35 (v121(constB149, 0)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20526, 20525, 20523])).
% 16.14/11.35 tff(20528,plain,
% 16.14/11.35 (((~v123(constB150, 0)) <=> v121(constB149, 0)) | v123(constB150, 0) | (~v121(constB149, 0))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20529,plain,
% 16.14/11.35 (v123(constB150, 0)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20528, 20527, 20521])).
% 16.14/11.35 tff(20530,plain,
% 16.14/11.35 ((((~v84(constB150, 0)) <=> v123(constB150, 0)) | ((~v84(constB150, 2)) <=> v123(constB150, 2)) | ((~v84(constB150, 1)) <=> v123(constB150, 1))) | (~((~v84(constB150, 0)) <=> v123(constB150, 0)))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20531,plain,
% 16.14/11.35 (~((~v84(constB150, 0)) <=> v123(constB150, 0))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20530, 20511])).
% 16.14/11.35 tff(20532,plain,
% 16.14/11.35 (((~v84(constB150, 0)) <=> v123(constB150, 0)) | v84(constB150, 0) | (~v123(constB150, 0))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20533,plain,
% 16.14/11.35 (v84(constB150, 0)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20532, 20531, 20529])).
% 16.14/11.35 tff(20534,plain,
% 16.14/11.35 (((~v84(constB151, 0)) <=> v84(constB150, 0)) | v84(constB151, 0) | (~v84(constB150, 0))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20535,plain,
% 16.14/11.35 (v84(constB151, 0)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20534, 20533, 20519])).
% 16.14/11.35 tff(20536,plain,
% 16.14/11.35 ((((~v84(constB151, 1)) <=> v84(constB150, 1)) | ((~v84(constB151, 2)) <=> v84(constB150, 2)) | ((~v84(constB151, 0)) <=> v84(constB150, 0))) | (~((~v84(constB151, 1)) <=> v84(constB150, 1)))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20537,plain,
% 16.14/11.35 (~((~v84(constB151, 1)) <=> v84(constB150, 1))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20536, 15035])).
% 16.14/11.35 tff(20538,plain,
% 16.14/11.35 ((((~v123(constB150, 2)) <=> v121(constB149, 2)) | ((~v123(constB150, 1)) <=> v121(constB149, 1)) | ((~v123(constB150, 0)) <=> v121(constB149, 0))) | (~((~v123(constB150, 1)) <=> v121(constB149, 1)))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20539,plain,
% 16.14/11.35 (~((~v123(constB150, 1)) <=> v121(constB149, 1))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20538, 15044])).
% 16.14/11.35 tff(20540,plain,
% 16.14/11.35 ((((~v121(constB149, 2)) <=> v124(constB149, 2)) | ((~v121(constB149, 0)) <=> v124(constB149, 0)) | ((~v121(constB149, 1)) <=> v124(constB149, 1))) | (~((~v121(constB149, 1)) <=> v124(constB149, 1)))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20541,plain,
% 16.14/11.35 (~((~v121(constB149, 1)) <=> v124(constB149, 1))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20540, 15058])).
% 16.14/11.35 tff(20542,plain,
% 16.14/11.35 ((v124(constB149, 2) | (~v124(constB149, 0)) | (~v124(constB149, 1))) | v124(constB149, 1)),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20543,plain,
% 16.14/11.35 (v124(constB149, 1)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20542, 20407])).
% 16.14/11.35 tff(20544,plain,
% 16.14/11.35 (((~v121(constB149, 1)) <=> v124(constB149, 1)) | v121(constB149, 1) | (~v124(constB149, 1))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20545,plain,
% 16.14/11.35 (v121(constB149, 1)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20544, 20543, 20541])).
% 16.14/11.35 tff(20546,plain,
% 16.14/11.35 (((~v123(constB150, 1)) <=> v121(constB149, 1)) | v123(constB150, 1) | (~v121(constB149, 1))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20547,plain,
% 16.14/11.35 (v123(constB150, 1)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20546, 20545, 20539])).
% 16.14/11.35 tff(20548,plain,
% 16.14/11.35 ((((~v84(constB150, 0)) <=> v123(constB150, 0)) | ((~v84(constB150, 2)) <=> v123(constB150, 2)) | ((~v84(constB150, 1)) <=> v123(constB150, 1))) | (~((~v84(constB150, 1)) <=> v123(constB150, 1)))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20549,plain,
% 16.14/11.35 (~((~v84(constB150, 1)) <=> v123(constB150, 1))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20548, 20511])).
% 16.14/11.35 tff(20550,plain,
% 16.14/11.35 (((~v84(constB150, 1)) <=> v123(constB150, 1)) | v84(constB150, 1) | (~v123(constB150, 1))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20551,plain,
% 16.14/11.35 (v84(constB150, 1)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20550, 20549, 20547])).
% 16.14/11.35 tff(20552,plain,
% 16.14/11.35 (((~v84(constB151, 1)) <=> v84(constB150, 1)) | v84(constB151, 1) | (~v84(constB150, 1))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20553,plain,
% 16.14/11.35 (v84(constB151, 1)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20552, 20551, 20537])).
% 16.14/11.35 tff(20554,plain,
% 16.14/11.35 ((~(v84(constB151, 2) | (~v84(constB151, 1)) | (~v84(constB151, 0)))) | v84(constB151, 2) | (~v84(constB151, 1)) | (~v84(constB151, 0))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20555,plain,
% 16.14/11.35 (~(v84(constB151, 2) | (~v84(constB151, 1)) | (~v84(constB151, 0)))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20554, 20553, 20535, 20517])).
% 16.14/11.35 tff(20556,plain,
% 16.14/11.35 ((~(v116(constB151) <=> (~(v84(constB151, 2) | (~v84(constB151, 1)) | (~v84(constB151, 0)))))) | v116(constB151) | (v84(constB151, 2) | (~v84(constB151, 1)) | (~v84(constB151, 0)))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20557,plain,
% 16.14/11.35 (v116(constB151)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20556, 20555, 15001])).
% 16.14/11.35 tff(20558,plain,
% 16.14/11.35 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB151)) | (~(v124(constB151, 0) | v124(constB151, 1) | (~v124(constB151, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB151)) | (~(v124(constB151, 0) | v124(constB151, 1) | (~v124(constB151, 2)))))),
% 16.14/11.35 inference(rewrite,[status(thm)],[])).
% 16.14/11.35 tff(20559,plain,
% 16.14/11.35 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB151)) | (~(v124(constB151, 0) | v124(constB151, 1) | (~v124(constB151, 2)))))),
% 16.14/11.35 inference(quant_inst,[status(thm)],[])).
% 16.14/11.35 tff(20560,plain,
% 16.14/11.35 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB151)) | (~(v124(constB151, 0) | v124(constB151, 1) | (~v124(constB151, 2))))),
% 16.14/11.35 inference(modus_ponens,[status(thm)],[20559, 20558])).
% 16.14/11.35 tff(20561,plain,
% 16.14/11.35 ((~v116(constB151)) | (~(v124(constB151, 0) | v124(constB151, 1) | (~v124(constB151, 2))))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20560, 3309])).
% 16.14/11.35 tff(20562,plain,
% 16.14/11.35 (~(v124(constB151, 0) | v124(constB151, 1) | (~v124(constB151, 2)))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20561, 20557])).
% 16.14/11.35 tff(20563,plain,
% 16.14/11.35 ((v124(constB151, 0) | v124(constB151, 1) | (~v124(constB151, 2))) | v124(constB151, 2)),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20564,plain,
% 16.14/11.35 (v124(constB151, 2)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20563, 20562])).
% 16.14/11.35 tff(20565,plain,
% 16.14/11.35 (((~v121(constB151, 2)) <=> v124(constB151, 2)) | v121(constB151, 2) | (~v124(constB151, 2))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20566,plain,
% 16.14/11.35 (v121(constB151, 2)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20565, 20564, 14999])).
% 16.14/11.35 tff(20567,plain,
% 16.14/11.35 (((~v123(constB152, 2)) <=> v121(constB151, 2)) | v123(constB152, 2) | (~v121(constB151, 2))),
% 16.14/11.35 inference(tautology,[status(thm)],[])).
% 16.14/11.35 tff(20568,plain,
% 16.14/11.35 (v123(constB152, 2)),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20567, 20566, 14985])).
% 16.14/11.35 tff(20569,plain,
% 16.14/11.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB151, constB152)) | (v94(constB152) <=> (~((~v95(constB152)) | (~v104(constB152))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB151, constB152)) | (v94(constB152) <=> (~((~v95(constB152)) | (~v104(constB152))))))),
% 16.14/11.35 inference(rewrite,[status(thm)],[])).
% 16.14/11.35 tff(20570,plain,
% 16.14/11.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB151, constB152)) | (v94(constB152) <=> (~((~v95(constB152)) | (~v104(constB152))))))),
% 16.14/11.35 inference(quant_inst,[status(thm)],[])).
% 16.14/11.35 tff(20571,plain,
% 16.14/11.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB151, constB152)) | (v94(constB152) <=> (~((~v95(constB152)) | (~v104(constB152)))))),
% 16.14/11.35 inference(modus_ponens,[status(thm)],[20570, 20569])).
% 16.14/11.35 tff(20572,plain,
% 16.14/11.35 (v94(constB152) <=> (~((~v95(constB152)) | (~v104(constB152))))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20571, 14979, 770])).
% 16.14/11.35 tff(20573,plain,
% 16.14/11.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152))))))),
% 16.14/11.35 inference(rewrite,[status(thm)],[])).
% 16.14/11.35 tff(20574,plain,
% 16.14/11.35 (((~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v96(constB152)) | (~v1(constB152)))))) <=> ((~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152))))))),
% 16.14/11.35 inference(rewrite,[status(thm)],[])).
% 16.14/11.35 tff(20575,plain,
% 16.14/11.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v96(constB152)) | (~v1(constB152))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152)))))))),
% 16.14/11.35 inference(monotonicity,[status(thm)],[20574])).
% 16.14/11.35 tff(20576,plain,
% 16.14/11.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v96(constB152)) | (~v1(constB152))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152))))))),
% 16.14/11.35 inference(transitivity,[status(thm)],[20575, 20573])).
% 16.14/11.35 tff(20577,plain,
% 16.14/11.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v96(constB152)) | (~v1(constB152))))))),
% 16.14/11.35 inference(quant_inst,[status(thm)],[])).
% 16.14/11.35 tff(20578,plain,
% 16.14/11.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152)))))),
% 16.14/11.35 inference(modus_ponens,[status(thm)],[20577, 20576])).
% 16.14/11.35 tff(20579,plain,
% 16.14/11.35 (v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152))))),
% 16.14/11.35 inference(unit_resolution,[status(thm)],[20578, 14979, 790])).
% 16.14/11.35 tff(20580,plain,
% 16.14/11.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB151, constB152)) | ((~v96(constB152)) <=> v98(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB151, constB152)) | ((~v96(constB152)) <=> v98(constB152)))),
% 16.14/11.36 inference(rewrite,[status(thm)],[])).
% 16.14/11.36 tff(20581,plain,
% 16.14/11.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB151, constB152)) | ((~v96(constB152)) <=> v98(constB152)))),
% 16.14/11.36 inference(quant_inst,[status(thm)],[])).
% 16.14/11.36 tff(20582,plain,
% 16.14/11.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB151, constB152)) | ((~v96(constB152)) <=> v98(constB152))),
% 16.14/11.36 inference(modus_ponens,[status(thm)],[20581, 20580])).
% 16.14/11.36 tff(20583,plain,
% 16.14/11.36 ((~v96(constB152)) <=> v98(constB152)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20582, 14979, 2332])).
% 16.14/11.36 tff(20584,plain,
% 16.14/11.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB151, constB152)) | (v98(constB152) <=> v1(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB151, constB152)) | (v98(constB152) <=> v1(constB151)))),
% 16.14/11.36 inference(rewrite,[status(thm)],[])).
% 16.14/11.36 tff(20585,plain,
% 16.14/11.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB151, constB152)) | (v98(constB152) <=> v1(constB151)))),
% 16.14/11.36 inference(quant_inst,[status(thm)],[])).
% 16.14/11.36 tff(20586,plain,
% 16.14/11.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB151, constB152)) | (v98(constB152) <=> v1(constB151))),
% 16.14/11.36 inference(modus_ponens,[status(thm)],[20585, 20584])).
% 16.14/11.36 tff(20587,plain,
% 16.14/11.36 (v98(constB152) <=> v1(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20586, 14979, 2346])).
% 16.14/11.36 tff(20588,plain,
% 16.14/11.36 ((~(v98(constB152) <=> v1(constB151))) | (~v98(constB152)) | v1(constB151)),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20589,plain,
% 16.14/11.36 ((~(v98(constB152) <=> v1(constB151))) | (~v98(constB152))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20588, 15018])).
% 16.14/11.36 tff(20590,plain,
% 16.14/11.36 (~v98(constB152)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20589, 20587])).
% 16.14/11.36 tff(20591,plain,
% 16.14/11.36 ((~((~v96(constB152)) <=> v98(constB152))) | v96(constB152) | v98(constB152)),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20592,plain,
% 16.14/11.36 (v96(constB152)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20591, 20590, 20583])).
% 16.14/11.36 tff(20593,plain,
% 16.14/11.36 (v1(constB152) <=> v1(constB152)),
% 16.14/11.36 inference(rewrite,[status(thm)],[])).
% 16.14/11.36 tff(20594,axiom,(v1(constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_152')).
% 16.14/11.36 tff(20595,plain,
% 16.14/11.36 (v1(constB152)),
% 16.14/11.36 inference(modus_ponens,[status(thm)],[20594, 20593])).
% 16.14/11.36 tff(20596,plain,
% 16.14/11.36 ((~((~v1(constB152)) | (~v96(constB152)))) | (~v1(constB152)) | (~v96(constB152))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20597,plain,
% 16.14/11.36 ((~((~v1(constB152)) | (~v96(constB152)))) | (~v96(constB152))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20596, 20595])).
% 16.14/11.36 tff(20598,plain,
% 16.14/11.36 (~((~v1(constB152)) | (~v96(constB152)))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20597, 20592])).
% 16.14/11.36 tff(20599,plain,
% 16.14/11.36 ((~(v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152)))))) | v95(constB152) | ((~v1(constB152)) | (~v96(constB152)))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20600,plain,
% 16.14/11.36 (v95(constB152)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20599, 20598, 20579])).
% 16.14/11.36 tff(20601,plain,
% 16.14/11.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB151, constB152)) | (v104(constB152) <=> v102(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB151, constB152)) | (v104(constB152) <=> v102(constB151)))),
% 16.14/11.36 inference(rewrite,[status(thm)],[])).
% 16.14/11.36 tff(20602,plain,
% 16.14/11.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB151, constB152)) | (v104(constB152) <=> v102(constB151)))),
% 16.14/11.36 inference(quant_inst,[status(thm)],[])).
% 16.14/11.36 tff(20603,plain,
% 16.14/11.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB151, constB152)) | (v104(constB152) <=> v102(constB151))),
% 16.14/11.36 inference(modus_ponens,[status(thm)],[20602, 20601])).
% 16.14/11.36 tff(20604,plain,
% 16.14/11.36 (v104(constB152) <=> v102(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20603, 14979, 2373])).
% 16.14/11.36 tff(20605,plain,
% 16.14/11.36 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB151) <=> (v105(constB151) | v106(constB151)))),
% 16.14/11.36 inference(quant_inst,[status(thm)],[])).
% 16.14/11.36 tff(20606,plain,
% 16.14/11.36 (v102(constB151) <=> (v105(constB151) | v106(constB151))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20605, 2384])).
% 16.14/11.36 tff(20607,plain,
% 16.14/11.36 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB151) <=> (~((~v107(constB151)) | (~v120(constB151)))))),
% 16.14/11.36 inference(quant_inst,[status(thm)],[])).
% 16.14/11.36 tff(20608,plain,
% 16.14/11.36 (v106(constB151) <=> (~((~v107(constB151)) | (~v120(constB151))))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20607, 2396])).
% 16.14/11.36 tff(20609,plain,
% 16.14/11.36 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB151) <=> (v108(constB151) | v119(constB151)))),
% 16.14/11.36 inference(quant_inst,[status(thm)],[])).
% 16.14/11.36 tff(20610,plain,
% 16.14/11.36 (v107(constB151) <=> (v108(constB151) | v119(constB151))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20609, 2405])).
% 16.14/11.36 tff(20611,plain,
% 16.14/11.36 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB151) <=> (v109(constB151) | v118(constB151)))),
% 16.14/11.36 inference(quant_inst,[status(thm)],[])).
% 16.14/11.36 tff(20612,plain,
% 16.14/11.36 (v108(constB151) <=> (v109(constB151) | v118(constB151))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20611, 2414])).
% 16.14/11.36 tff(20613,plain,
% 16.14/11.36 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB151) <=> (v110(constB151) | v117(constB151)))),
% 16.14/11.36 inference(quant_inst,[status(thm)],[])).
% 16.14/11.36 tff(20614,plain,
% 16.14/11.36 (v109(constB151) <=> (v110(constB151) | v117(constB151))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20613, 2423])).
% 16.14/11.36 tff(20615,plain,
% 16.14/11.36 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB151) <=> (v111(constB151) | v116(constB151)))),
% 16.14/11.36 inference(quant_inst,[status(thm)],[])).
% 16.14/11.36 tff(20616,plain,
% 16.14/11.36 (v110(constB151) <=> (v111(constB151) | v116(constB151))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20615, 2432])).
% 16.14/11.36 tff(20617,plain,
% 16.14/11.36 ((v111(constB151) | v116(constB151)) | (~v116(constB151))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20618,plain,
% 16.14/11.36 (v111(constB151) | v116(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20617, 20557])).
% 16.14/11.36 tff(20619,plain,
% 16.14/11.36 ((~(v110(constB151) <=> (v111(constB151) | v116(constB151)))) | v110(constB151) | (~(v111(constB151) | v116(constB151)))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20620,plain,
% 16.14/11.36 (v110(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20619, 20618, 20616])).
% 16.14/11.36 tff(20621,plain,
% 16.14/11.36 ((v110(constB151) | v117(constB151)) | (~v110(constB151))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20622,plain,
% 16.14/11.36 (v110(constB151) | v117(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20621, 20620])).
% 16.14/11.36 tff(20623,plain,
% 16.14/11.36 ((~(v109(constB151) <=> (v110(constB151) | v117(constB151)))) | v109(constB151) | (~(v110(constB151) | v117(constB151)))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20624,plain,
% 16.14/11.36 (v109(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20623, 20622, 20614])).
% 16.14/11.36 tff(20625,plain,
% 16.14/11.36 ((v109(constB151) | v118(constB151)) | (~v109(constB151))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20626,plain,
% 16.14/11.36 (v109(constB151) | v118(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20625, 20624])).
% 16.14/11.36 tff(20627,plain,
% 16.14/11.36 ((~(v108(constB151) <=> (v109(constB151) | v118(constB151)))) | v108(constB151) | (~(v109(constB151) | v118(constB151)))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20628,plain,
% 16.14/11.36 (v108(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20627, 20626, 20612])).
% 16.14/11.36 tff(20629,plain,
% 16.14/11.36 ((v108(constB151) | v119(constB151)) | (~v108(constB151))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20630,plain,
% 16.14/11.36 (v108(constB151) | v119(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20629, 20628])).
% 16.14/11.36 tff(20631,plain,
% 16.14/11.36 ((~(v107(constB151) <=> (v108(constB151) | v119(constB151)))) | v107(constB151) | (~(v108(constB151) | v119(constB151)))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20632,plain,
% 16.14/11.36 (v107(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20631, 20630, 20610])).
% 16.14/11.36 tff(20633,plain,
% 16.14/11.36 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB151)) <=> v105(constB151))),
% 16.14/11.36 inference(quant_inst,[status(thm)],[])).
% 16.14/11.36 tff(20634,plain,
% 16.14/11.36 ((~v120(constB151)) <=> v105(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20633, 2484])).
% 16.14/11.36 tff(20635,plain,
% 16.14/11.36 ((~((~v120(constB151)) <=> v105(constB151))) | v120(constB151) | v105(constB151)),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20636,plain,
% 16.14/11.36 ((~((~v120(constB151)) <=> v105(constB151))) | v120(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20635, 14992])).
% 16.14/11.36 tff(20637,plain,
% 16.14/11.36 (v120(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20636, 20634])).
% 16.14/11.36 tff(20638,plain,
% 16.14/11.36 ((~((~v107(constB151)) | (~v120(constB151)))) | (~v107(constB151)) | (~v120(constB151))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20639,plain,
% 16.14/11.36 ((~((~v107(constB151)) | (~v120(constB151)))) | (~v107(constB151))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20638, 20637])).
% 16.14/11.36 tff(20640,plain,
% 16.14/11.36 (~((~v107(constB151)) | (~v120(constB151)))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20639, 20632])).
% 16.14/11.36 tff(20641,plain,
% 16.14/11.36 ((~(v106(constB151) <=> (~((~v107(constB151)) | (~v120(constB151)))))) | v106(constB151) | ((~v107(constB151)) | (~v120(constB151)))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20642,plain,
% 16.14/11.36 (v106(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20641, 20640, 20608])).
% 16.14/11.36 tff(20643,plain,
% 16.14/11.36 ((v105(constB151) | v106(constB151)) | (~v106(constB151))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20644,plain,
% 16.14/11.36 (v105(constB151) | v106(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20643, 20642])).
% 16.14/11.36 tff(20645,plain,
% 16.14/11.36 ((~(v102(constB151) <=> (v105(constB151) | v106(constB151)))) | v102(constB151) | (~(v105(constB151) | v106(constB151)))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20646,plain,
% 16.14/11.36 (v102(constB151)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20645, 20644, 20606])).
% 16.14/11.36 tff(20647,plain,
% 16.14/11.36 ((~(v104(constB152) <=> v102(constB151))) | v104(constB152) | (~v102(constB151))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20648,plain,
% 16.14/11.36 (v104(constB152)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20647, 20646, 20604])).
% 16.14/11.36 tff(20649,plain,
% 16.14/11.36 ((~((~v95(constB152)) | (~v104(constB152)))) | (~v95(constB152)) | (~v104(constB152))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20650,plain,
% 16.14/11.36 (~((~v95(constB152)) | (~v104(constB152)))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20649, 20648, 20600])).
% 16.14/11.36 tff(20651,plain,
% 16.14/11.36 ((~(v94(constB152) <=> (~((~v95(constB152)) | (~v104(constB152)))))) | v94(constB152) | ((~v95(constB152)) | (~v104(constB152)))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20652,plain,
% 16.14/11.36 (v94(constB152)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20651, 20650, 20572])).
% 16.14/11.36 tff(20653,plain,
% 16.14/11.36 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB152)) | (~(((~v84(constB152, 2)) <=> v123(constB152, 2)) | ((~v84(constB152, 1)) <=> v123(constB152, 1)) | ((~v84(constB152, 0)) <=> v123(constB152, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB152)) | (~(((~v84(constB152, 2)) <=> v123(constB152, 2)) | ((~v84(constB152, 1)) <=> v123(constB152, 1)) | ((~v84(constB152, 0)) <=> v123(constB152, 0)))))),
% 16.14/11.36 inference(rewrite,[status(thm)],[])).
% 16.14/11.36 tff(20654,plain,
% 16.14/11.36 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB152)) | (~(((~v84(constB152, 2)) <=> v123(constB152, 2)) | ((~v84(constB152, 1)) <=> v123(constB152, 1)) | ((~v84(constB152, 0)) <=> v123(constB152, 0)))))),
% 16.14/11.36 inference(quant_inst,[status(thm)],[])).
% 16.14/11.36 tff(20655,plain,
% 16.14/11.36 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB152)) | (~(((~v84(constB152, 2)) <=> v123(constB152, 2)) | ((~v84(constB152, 1)) <=> v123(constB152, 1)) | ((~v84(constB152, 0)) <=> v123(constB152, 0))))),
% 16.14/11.36 inference(modus_ponens,[status(thm)],[20654, 20653])).
% 16.14/11.36 tff(20656,plain,
% 16.14/11.36 ((~v94(constB152)) | (~(((~v84(constB152, 2)) <=> v123(constB152, 2)) | ((~v84(constB152, 1)) <=> v123(constB152, 1)) | ((~v84(constB152, 0)) <=> v123(constB152, 0))))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20655, 2517])).
% 16.14/11.36 tff(20657,plain,
% 16.14/11.36 (~(((~v84(constB152, 2)) <=> v123(constB152, 2)) | ((~v84(constB152, 1)) <=> v123(constB152, 1)) | ((~v84(constB152, 0)) <=> v123(constB152, 0)))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20656, 20652])).
% 16.14/11.36 tff(20658,plain,
% 16.14/11.36 ((((~v84(constB152, 2)) <=> v123(constB152, 2)) | ((~v84(constB152, 1)) <=> v123(constB152, 1)) | ((~v84(constB152, 0)) <=> v123(constB152, 0))) | (~((~v84(constB152, 2)) <=> v123(constB152, 2)))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20659,plain,
% 16.14/11.36 (~((~v84(constB152, 2)) <=> v123(constB152, 2))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20658, 20657])).
% 16.14/11.36 tff(20660,plain,
% 16.14/11.36 (((~v84(constB152, 2)) <=> v123(constB152, 2)) | v84(constB152, 2) | (~v123(constB152, 2))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20661,plain,
% 16.14/11.36 (v84(constB152, 2)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20660, 20659, 20568])).
% 16.14/11.36 tff(20662,plain,
% 16.14/11.36 (((~v84(constB153, 2)) <=> v84(constB152, 2)) | v84(constB153, 2) | (~v84(constB152, 2))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20663,plain,
% 16.14/11.36 (v84(constB153, 2)),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20662, 20661, 14976])).
% 16.14/11.36 tff(20664,plain,
% 16.14/11.36 ((((~v84(constB153, 1)) <=> v84(constB152, 1)) | ((~v84(constB153, 2)) <=> v84(constB152, 2)) | ((~v84(constB153, 0)) <=> v84(constB152, 0))) | (~((~v84(constB153, 0)) <=> v84(constB152, 0)))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20665,plain,
% 16.14/11.36 (~((~v84(constB153, 0)) <=> v84(constB152, 0))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20664, 14974])).
% 16.14/11.36 tff(20666,plain,
% 16.14/11.36 ((((~v123(constB152, 2)) <=> v121(constB151, 2)) | ((~v123(constB152, 1)) <=> v121(constB151, 1)) | ((~v123(constB152, 0)) <=> v121(constB151, 0))) | (~((~v123(constB152, 0)) <=> v121(constB151, 0)))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20667,plain,
% 16.14/11.36 (~((~v123(constB152, 0)) <=> v121(constB151, 0))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20666, 14983])).
% 16.14/11.36 tff(20668,plain,
% 16.14/11.36 ((((~v121(constB151, 2)) <=> v124(constB151, 2)) | ((~v121(constB151, 0)) <=> v124(constB151, 0)) | ((~v121(constB151, 1)) <=> v124(constB151, 1))) | (~((~v121(constB151, 0)) <=> v124(constB151, 0)))),
% 16.14/11.36 inference(tautology,[status(thm)],[])).
% 16.14/11.36 tff(20669,plain,
% 16.14/11.36 (~((~v121(constB151, 0)) <=> v124(constB151, 0))),
% 16.14/11.36 inference(unit_resolution,[status(thm)],[20668, 14997])).
% 16.14/11.36 tff(20670,plain,
% 16.23/11.36 ((v124(constB151, 0) | v124(constB151, 1) | (~v124(constB151, 2))) | (~v124(constB151, 0))),
% 16.23/11.36 inference(tautology,[status(thm)],[])).
% 16.23/11.36 tff(20671,plain,
% 16.23/11.36 (~v124(constB151, 0)),
% 16.23/11.36 inference(unit_resolution,[status(thm)],[20670, 20562])).
% 16.23/11.36 tff(20672,plain,
% 16.23/11.36 (((~v121(constB151, 0)) <=> v124(constB151, 0)) | (~v121(constB151, 0)) | v124(constB151, 0)),
% 16.23/11.36 inference(tautology,[status(thm)],[])).
% 16.23/11.36 tff(20673,plain,
% 16.23/11.36 (~v121(constB151, 0)),
% 16.23/11.36 inference(unit_resolution,[status(thm)],[20672, 20671, 20669])).
% 16.23/11.36 tff(20674,plain,
% 16.23/11.36 (((~v123(constB152, 0)) <=> v121(constB151, 0)) | (~v123(constB152, 0)) | v121(constB151, 0)),
% 16.23/11.36 inference(tautology,[status(thm)],[])).
% 16.23/11.36 tff(20675,plain,
% 16.23/11.36 (~v123(constB152, 0)),
% 16.23/11.36 inference(unit_resolution,[status(thm)],[20674, 20673, 20667])).
% 16.23/11.36 tff(20676,plain,
% 16.23/11.36 ((((~v84(constB152, 2)) <=> v123(constB152, 2)) | ((~v84(constB152, 1)) <=> v123(constB152, 1)) | ((~v84(constB152, 0)) <=> v123(constB152, 0))) | (~((~v84(constB152, 0)) <=> v123(constB152, 0)))),
% 16.23/11.36 inference(tautology,[status(thm)],[])).
% 16.23/11.36 tff(20677,plain,
% 16.23/11.36 (~((~v84(constB152, 0)) <=> v123(constB152, 0))),
% 16.23/11.36 inference(unit_resolution,[status(thm)],[20676, 20657])).
% 16.23/11.36 tff(20678,plain,
% 16.23/11.36 (((~v84(constB152, 0)) <=> v123(constB152, 0)) | (~v84(constB152, 0)) | v123(constB152, 0)),
% 16.23/11.36 inference(tautology,[status(thm)],[])).
% 16.23/11.36 tff(20679,plain,
% 16.23/11.36 (~v84(constB152, 0)),
% 16.23/11.36 inference(unit_resolution,[status(thm)],[20678, 20677, 20675])).
% 16.23/11.36 tff(20680,plain,
% 16.23/11.36 (((~v84(constB153, 0)) <=> v84(constB152, 0)) | (~v84(constB153, 0)) | v84(constB152, 0)),
% 16.23/11.36 inference(tautology,[status(thm)],[])).
% 16.23/11.36 tff(20681,plain,
% 16.23/11.36 (~v84(constB153, 0)),
% 16.23/11.36 inference(unit_resolution,[status(thm)],[20680, 20679, 20665])).
% 16.23/11.36 tff(20682,plain,
% 16.23/11.36 ((((~v84(constB153, 1)) <=> v84(constB152, 1)) | ((~v84(constB153, 2)) <=> v84(constB152, 2)) | ((~v84(constB153, 0)) <=> v84(constB152, 0))) | (~((~v84(constB153, 1)) <=> v84(constB152, 1)))),
% 16.23/11.36 inference(tautology,[status(thm)],[])).
% 16.23/11.36 tff(20683,plain,
% 16.23/11.36 (~((~v84(constB153, 1)) <=> v84(constB152, 1))),
% 16.23/11.36 inference(unit_resolution,[status(thm)],[20682, 14974])).
% 16.23/11.36 tff(20684,plain,
% 16.23/11.36 ((((~v123(constB152, 2)) <=> v121(constB151, 2)) | ((~v123(constB152, 1)) <=> v121(constB151, 1)) | ((~v123(constB152, 0)) <=> v121(constB151, 0))) | (~((~v123(constB152, 1)) <=> v121(constB151, 1)))),
% 16.23/11.36 inference(tautology,[status(thm)],[])).
% 16.23/11.36 tff(20685,plain,
% 16.23/11.36 (~((~v123(constB152, 1)) <=> v121(constB151, 1))),
% 16.23/11.36 inference(unit_resolution,[status(thm)],[20684, 14983])).
% 16.23/11.36 tff(20686,plain,
% 16.23/11.36 ((((~v121(constB151, 2)) <=> v124(constB151, 2)) | ((~v121(constB151, 0)) <=> v124(constB151, 0)) | ((~v121(constB151, 1)) <=> v124(constB151, 1))) | (~((~v121(constB151, 1)) <=> v124(constB151, 1)))),
% 16.23/11.36 inference(tautology,[status(thm)],[])).
% 16.23/11.36 tff(20687,plain,
% 16.23/11.36 (~((~v121(constB151, 1)) <=> v124(constB151, 1))),
% 16.23/11.36 inference(unit_resolution,[status(thm)],[20686, 14997])).
% 16.23/11.36 tff(20688,plain,
% 16.23/11.36 ((v124(constB151, 0) | v124(constB151, 1) | (~v124(constB151, 2))) | (~v124(constB151, 1))),
% 16.23/11.36 inference(tautology,[status(thm)],[])).
% 16.23/11.36 tff(20689,plain,
% 16.23/11.36 (~v124(constB151, 1)),
% 16.23/11.36 inference(unit_resolution,[status(thm)],[20688, 20562])).
% 16.23/11.36 tff(20690,plain,
% 16.23/11.36 (((~v121(constB151, 1)) <=> v124(constB151, 1)) | (~v121(constB151, 1)) | v124(constB151, 1)),
% 16.23/11.36 inference(tautology,[status(thm)],[])).
% 16.23/11.36 tff(20691,plain,
% 16.23/11.36 (~v121(constB151, 1)),
% 16.23/11.36 inference(unit_resolution,[status(thm)],[20690, 20689, 20687])).
% 16.23/11.36 tff(20692,plain,
% 16.23/11.36 (((~v123(constB152, 1)) <=> v121(constB151, 1)) | (~v123(constB152, 1)) | v121(constB151, 1)),
% 16.23/11.36 inference(tautology,[status(thm)],[])).
% 16.23/11.36 tff(20693,plain,
% 16.23/11.36 (~v123(constB152, 1)),
% 16.23/11.36 inference(unit_resolution,[status(thm)],[20692, 20691, 20685])).
% 16.23/11.36 tff(20694,plain,
% 16.23/11.36 ((((~v84(constB152, 2)) <=> v123(constB152, 2)) | ((~v84(constB152, 1)) <=> v123(constB152, 1)) | ((~v84(constB152, 0)) <=> v123(constB152, 0))) | (~((~v84(constB152, 1)) <=> v123(constB152, 1)))),
% 16.23/11.36 inference(tautology,[status(thm)],[])).
% 16.23/11.36 tff(20695,plain,
% 16.23/11.36 (~((~v84(constB152, 1)) <=> v123(constB152, 1))),
% 16.23/11.36 inference(unit_resolution,[status(thm)],[20694, 20657])).
% 16.23/11.37 tff(20696,plain,
% 16.23/11.37 (((~v84(constB152, 1)) <=> v123(constB152, 1)) | (~v84(constB152, 1)) | v123(constB152, 1)),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20697,plain,
% 16.23/11.37 (~v84(constB152, 1)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20696, 20695, 20693])).
% 16.23/11.37 tff(20698,plain,
% 16.23/11.37 (((~v84(constB153, 1)) <=> v84(constB152, 1)) | (~v84(constB153, 1)) | v84(constB152, 1)),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20699,plain,
% 16.23/11.37 (~v84(constB153, 1)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20698, 20697, 20683])).
% 16.23/11.37 tff(20700,plain,
% 16.23/11.37 ((~(v84(constB153, 1) | v84(constB153, 0) | (~v84(constB153, 2)))) | v84(constB153, 1) | v84(constB153, 0) | (~v84(constB153, 2))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20701,plain,
% 16.23/11.37 (~(v84(constB153, 1) | v84(constB153, 0) | (~v84(constB153, 2)))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20700, 20699, 20681, 20663])).
% 16.23/11.37 tff(20702,plain,
% 16.23/11.37 ((~(v117(constB153) <=> (~(v84(constB153, 1) | v84(constB153, 0) | (~v84(constB153, 2)))))) | v117(constB153) | (v84(constB153, 1) | v84(constB153, 0) | (~v84(constB153, 2)))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20703,plain,
% 16.23/11.37 (v117(constB153)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20702, 20701, 14940])).
% 16.23/11.37 tff(20704,plain,
% 16.23/11.37 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB153)) | (~(v124(constB153, 0) | (~v124(constB153, 2)) | (~v124(constB153, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB153)) | (~(v124(constB153, 0) | (~v124(constB153, 2)) | (~v124(constB153, 1)))))),
% 16.23/11.37 inference(rewrite,[status(thm)],[])).
% 16.23/11.37 tff(20705,plain,
% 16.23/11.37 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB153)) | (~(v124(constB153, 0) | (~v124(constB153, 2)) | (~v124(constB153, 1)))))),
% 16.23/11.37 inference(quant_inst,[status(thm)],[])).
% 16.23/11.37 tff(20706,plain,
% 16.23/11.37 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB153)) | (~(v124(constB153, 0) | (~v124(constB153, 2)) | (~v124(constB153, 1))))),
% 16.23/11.37 inference(modus_ponens,[status(thm)],[20705, 20704])).
% 16.23/11.37 tff(20707,plain,
% 16.23/11.37 ((~v117(constB153)) | (~(v124(constB153, 0) | (~v124(constB153, 2)) | (~v124(constB153, 1))))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20706, 2584])).
% 16.23/11.37 tff(20708,plain,
% 16.23/11.37 (~(v124(constB153, 0) | (~v124(constB153, 2)) | (~v124(constB153, 1)))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20707, 20703])).
% 16.23/11.37 tff(20709,plain,
% 16.23/11.37 ((v124(constB153, 0) | (~v124(constB153, 2)) | (~v124(constB153, 1))) | (~v124(constB153, 0))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20710,plain,
% 16.23/11.37 (~v124(constB153, 0)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20709, 20708])).
% 16.23/11.37 tff(20711,plain,
% 16.23/11.37 (((~v121(constB153, 0)) <=> v124(constB153, 0)) | (~v121(constB153, 0)) | v124(constB153, 0)),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20712,plain,
% 16.23/11.37 (~v121(constB153, 0)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20711, 20710, 14933])).
% 16.23/11.37 tff(20713,plain,
% 16.23/11.37 (((~v123(constB154, 0)) <=> v121(constB153, 0)) | (~v123(constB154, 0)) | v121(constB153, 0)),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20714,plain,
% 16.23/11.37 (~v123(constB154, 0)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20713, 20712, 14919])).
% 16.23/11.37 tff(20715,plain,
% 16.23/11.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB153, constB154)) | (v94(constB154) <=> (~((~v95(constB154)) | (~v104(constB154))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB153, constB154)) | (v94(constB154) <=> (~((~v95(constB154)) | (~v104(constB154))))))),
% 16.23/11.37 inference(rewrite,[status(thm)],[])).
% 16.23/11.37 tff(20716,plain,
% 16.23/11.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB153, constB154)) | (v94(constB154) <=> (~((~v95(constB154)) | (~v104(constB154))))))),
% 16.23/11.37 inference(quant_inst,[status(thm)],[])).
% 16.23/11.37 tff(20717,plain,
% 16.23/11.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB153, constB154)) | (v94(constB154) <=> (~((~v95(constB154)) | (~v104(constB154)))))),
% 16.23/11.37 inference(modus_ponens,[status(thm)],[20716, 20715])).
% 16.23/11.37 tff(20718,plain,
% 16.23/11.37 (v94(constB154) <=> (~((~v95(constB154)) | (~v104(constB154))))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20717, 14913, 770])).
% 16.23/11.37 tff(20719,plain,
% 16.23/11.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154))))))),
% 16.23/11.37 inference(rewrite,[status(thm)],[])).
% 16.23/11.37 tff(20720,plain,
% 16.23/11.37 (((~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v96(constB154)) | (~v1(constB154)))))) <=> ((~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154))))))),
% 16.23/11.37 inference(rewrite,[status(thm)],[])).
% 16.23/11.37 tff(20721,plain,
% 16.23/11.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v96(constB154)) | (~v1(constB154))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154)))))))),
% 16.23/11.37 inference(monotonicity,[status(thm)],[20720])).
% 16.23/11.37 tff(20722,plain,
% 16.23/11.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v96(constB154)) | (~v1(constB154))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154))))))),
% 16.23/11.37 inference(transitivity,[status(thm)],[20721, 20719])).
% 16.23/11.37 tff(20723,plain,
% 16.23/11.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v96(constB154)) | (~v1(constB154))))))),
% 16.23/11.37 inference(quant_inst,[status(thm)],[])).
% 16.23/11.37 tff(20724,plain,
% 16.23/11.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154)))))),
% 16.23/11.37 inference(modus_ponens,[status(thm)],[20723, 20722])).
% 16.23/11.37 tff(20725,plain,
% 16.23/11.37 (v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154))))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20724, 14913, 790])).
% 16.23/11.37 tff(20726,plain,
% 16.23/11.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB153, constB154)) | ((~v96(constB154)) <=> v98(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB153, constB154)) | ((~v96(constB154)) <=> v98(constB154)))),
% 16.23/11.37 inference(rewrite,[status(thm)],[])).
% 16.23/11.37 tff(20727,plain,
% 16.23/11.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB153, constB154)) | ((~v96(constB154)) <=> v98(constB154)))),
% 16.23/11.37 inference(quant_inst,[status(thm)],[])).
% 16.23/11.37 tff(20728,plain,
% 16.23/11.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB153, constB154)) | ((~v96(constB154)) <=> v98(constB154))),
% 16.23/11.37 inference(modus_ponens,[status(thm)],[20727, 20726])).
% 16.23/11.37 tff(20729,plain,
% 16.23/11.37 ((~v96(constB154)) <=> v98(constB154)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20728, 14913, 2332])).
% 16.23/11.37 tff(20730,plain,
% 16.23/11.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB153, constB154)) | (v98(constB154) <=> v1(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB153, constB154)) | (v98(constB154) <=> v1(constB153)))),
% 16.23/11.37 inference(rewrite,[status(thm)],[])).
% 16.23/11.37 tff(20731,plain,
% 16.23/11.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB153, constB154)) | (v98(constB154) <=> v1(constB153)))),
% 16.23/11.37 inference(quant_inst,[status(thm)],[])).
% 16.23/11.37 tff(20732,plain,
% 16.23/11.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB153, constB154)) | (v98(constB154) <=> v1(constB153))),
% 16.23/11.37 inference(modus_ponens,[status(thm)],[20731, 20730])).
% 16.23/11.37 tff(20733,plain,
% 16.23/11.37 (v98(constB154) <=> v1(constB153)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20732, 14913, 2346])).
% 16.23/11.37 tff(20734,plain,
% 16.23/11.37 ((~(v98(constB154) <=> v1(constB153))) | (~v98(constB154)) | v1(constB153)),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20735,plain,
% 16.23/11.37 ((~(v98(constB154) <=> v1(constB153))) | (~v98(constB154))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20734, 14957])).
% 16.23/11.37 tff(20736,plain,
% 16.23/11.37 (~v98(constB154)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20735, 20733])).
% 16.23/11.37 tff(20737,plain,
% 16.23/11.37 ((~((~v96(constB154)) <=> v98(constB154))) | v96(constB154) | v98(constB154)),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20738,plain,
% 16.23/11.37 (v96(constB154)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20737, 20736, 20729])).
% 16.23/11.37 tff(20739,plain,
% 16.23/11.37 (v1(constB154) <=> v1(constB154)),
% 16.23/11.37 inference(rewrite,[status(thm)],[])).
% 16.23/11.37 tff(20740,axiom,(v1(constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_154')).
% 16.23/11.37 tff(20741,plain,
% 16.23/11.37 (v1(constB154)),
% 16.23/11.37 inference(modus_ponens,[status(thm)],[20740, 20739])).
% 16.23/11.37 tff(20742,plain,
% 16.23/11.37 ((~((~v1(constB154)) | (~v96(constB154)))) | (~v1(constB154)) | (~v96(constB154))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20743,plain,
% 16.23/11.37 ((~((~v1(constB154)) | (~v96(constB154)))) | (~v96(constB154))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20742, 20741])).
% 16.23/11.37 tff(20744,plain,
% 16.23/11.37 (~((~v1(constB154)) | (~v96(constB154)))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20743, 20738])).
% 16.23/11.37 tff(20745,plain,
% 16.23/11.37 ((~(v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154)))))) | v95(constB154) | ((~v1(constB154)) | (~v96(constB154)))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20746,plain,
% 16.23/11.37 (v95(constB154)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20745, 20744, 20725])).
% 16.23/11.37 tff(20747,plain,
% 16.23/11.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB153, constB154)) | (v104(constB154) <=> v102(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB153, constB154)) | (v104(constB154) <=> v102(constB153)))),
% 16.23/11.37 inference(rewrite,[status(thm)],[])).
% 16.23/11.37 tff(20748,plain,
% 16.23/11.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB153, constB154)) | (v104(constB154) <=> v102(constB153)))),
% 16.23/11.37 inference(quant_inst,[status(thm)],[])).
% 16.23/11.37 tff(20749,plain,
% 16.23/11.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB153, constB154)) | (v104(constB154) <=> v102(constB153))),
% 16.23/11.37 inference(modus_ponens,[status(thm)],[20748, 20747])).
% 16.23/11.37 tff(20750,plain,
% 16.23/11.37 (v104(constB154) <=> v102(constB153)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20749, 14913, 2373])).
% 16.23/11.37 tff(20751,plain,
% 16.23/11.37 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB153) <=> (v105(constB153) | v106(constB153)))),
% 16.23/11.37 inference(quant_inst,[status(thm)],[])).
% 16.23/11.37 tff(20752,plain,
% 16.23/11.37 (v102(constB153) <=> (v105(constB153) | v106(constB153))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20751, 2384])).
% 16.23/11.37 tff(20753,plain,
% 16.23/11.37 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB153) <=> (~((~v107(constB153)) | (~v120(constB153)))))),
% 16.23/11.37 inference(quant_inst,[status(thm)],[])).
% 16.23/11.37 tff(20754,plain,
% 16.23/11.37 (v106(constB153) <=> (~((~v107(constB153)) | (~v120(constB153))))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20753, 2396])).
% 16.23/11.37 tff(20755,plain,
% 16.23/11.37 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB153) <=> (v108(constB153) | v119(constB153)))),
% 16.23/11.37 inference(quant_inst,[status(thm)],[])).
% 16.23/11.37 tff(20756,plain,
% 16.23/11.37 (v107(constB153) <=> (v108(constB153) | v119(constB153))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20755, 2405])).
% 16.23/11.37 tff(20757,plain,
% 16.23/11.37 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB153) <=> (v109(constB153) | v118(constB153)))),
% 16.23/11.37 inference(quant_inst,[status(thm)],[])).
% 16.23/11.37 tff(20758,plain,
% 16.23/11.37 (v108(constB153) <=> (v109(constB153) | v118(constB153))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20757, 2414])).
% 16.23/11.37 tff(20759,plain,
% 16.23/11.37 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB153) <=> (v110(constB153) | v117(constB153)))),
% 16.23/11.37 inference(quant_inst,[status(thm)],[])).
% 16.23/11.37 tff(20760,plain,
% 16.23/11.37 (v109(constB153) <=> (v110(constB153) | v117(constB153))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20759, 2423])).
% 16.23/11.37 tff(20761,plain,
% 16.23/11.37 ((v110(constB153) | v117(constB153)) | (~v117(constB153))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20762,plain,
% 16.23/11.37 (v110(constB153) | v117(constB153)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20761, 20703])).
% 16.23/11.37 tff(20763,plain,
% 16.23/11.37 ((~(v109(constB153) <=> (v110(constB153) | v117(constB153)))) | v109(constB153) | (~(v110(constB153) | v117(constB153)))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20764,plain,
% 16.23/11.37 (v109(constB153)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20763, 20762, 20760])).
% 16.23/11.37 tff(20765,plain,
% 16.23/11.37 ((v109(constB153) | v118(constB153)) | (~v109(constB153))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20766,plain,
% 16.23/11.37 (v109(constB153) | v118(constB153)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20765, 20764])).
% 16.23/11.37 tff(20767,plain,
% 16.23/11.37 ((~(v108(constB153) <=> (v109(constB153) | v118(constB153)))) | v108(constB153) | (~(v109(constB153) | v118(constB153)))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20768,plain,
% 16.23/11.37 (v108(constB153)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20767, 20766, 20758])).
% 16.23/11.37 tff(20769,plain,
% 16.23/11.37 ((v108(constB153) | v119(constB153)) | (~v108(constB153))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20770,plain,
% 16.23/11.37 (v108(constB153) | v119(constB153)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20769, 20768])).
% 16.23/11.37 tff(20771,plain,
% 16.23/11.37 ((~(v107(constB153) <=> (v108(constB153) | v119(constB153)))) | v107(constB153) | (~(v108(constB153) | v119(constB153)))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20772,plain,
% 16.23/11.37 (v107(constB153)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20771, 20770, 20756])).
% 16.23/11.37 tff(20773,plain,
% 16.23/11.37 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB153)) <=> v105(constB153))),
% 16.23/11.37 inference(quant_inst,[status(thm)],[])).
% 16.23/11.37 tff(20774,plain,
% 16.23/11.37 ((~v120(constB153)) <=> v105(constB153)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20773, 2484])).
% 16.23/11.37 tff(20775,plain,
% 16.23/11.37 ((~((~v120(constB153)) <=> v105(constB153))) | v120(constB153) | v105(constB153)),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20776,plain,
% 16.23/11.37 ((~((~v120(constB153)) <=> v105(constB153))) | v120(constB153)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20775, 14926])).
% 16.23/11.37 tff(20777,plain,
% 16.23/11.37 (v120(constB153)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20776, 20774])).
% 16.23/11.37 tff(20778,plain,
% 16.23/11.37 ((~((~v107(constB153)) | (~v120(constB153)))) | (~v107(constB153)) | (~v120(constB153))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20779,plain,
% 16.23/11.37 ((~((~v107(constB153)) | (~v120(constB153)))) | (~v107(constB153))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20778, 20777])).
% 16.23/11.37 tff(20780,plain,
% 16.23/11.37 (~((~v107(constB153)) | (~v120(constB153)))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20779, 20772])).
% 16.23/11.37 tff(20781,plain,
% 16.23/11.37 ((~(v106(constB153) <=> (~((~v107(constB153)) | (~v120(constB153)))))) | v106(constB153) | ((~v107(constB153)) | (~v120(constB153)))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20782,plain,
% 16.23/11.37 (v106(constB153)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20781, 20780, 20754])).
% 16.23/11.37 tff(20783,plain,
% 16.23/11.37 ((v105(constB153) | v106(constB153)) | (~v106(constB153))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20784,plain,
% 16.23/11.37 (v105(constB153) | v106(constB153)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20783, 20782])).
% 16.23/11.37 tff(20785,plain,
% 16.23/11.37 ((~(v102(constB153) <=> (v105(constB153) | v106(constB153)))) | v102(constB153) | (~(v105(constB153) | v106(constB153)))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20786,plain,
% 16.23/11.37 (v102(constB153)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20785, 20784, 20752])).
% 16.23/11.37 tff(20787,plain,
% 16.23/11.37 ((~(v104(constB154) <=> v102(constB153))) | v104(constB154) | (~v102(constB153))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20788,plain,
% 16.23/11.37 (v104(constB154)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20787, 20786, 20750])).
% 16.23/11.37 tff(20789,plain,
% 16.23/11.37 ((~((~v95(constB154)) | (~v104(constB154)))) | (~v95(constB154)) | (~v104(constB154))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20790,plain,
% 16.23/11.37 (~((~v95(constB154)) | (~v104(constB154)))),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20789, 20788, 20746])).
% 16.23/11.37 tff(20791,plain,
% 16.23/11.37 ((~(v94(constB154) <=> (~((~v95(constB154)) | (~v104(constB154)))))) | v94(constB154) | ((~v95(constB154)) | (~v104(constB154)))),
% 16.23/11.37 inference(tautology,[status(thm)],[])).
% 16.23/11.37 tff(20792,plain,
% 16.23/11.37 (v94(constB154)),
% 16.23/11.37 inference(unit_resolution,[status(thm)],[20791, 20790, 20718])).
% 16.23/11.37 tff(20793,plain,
% 16.23/11.37 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB154)) | (~(((~v84(constB154, 0)) <=> v123(constB154, 0)) | ((~v84(constB154, 2)) <=> v123(constB154, 2)) | ((~v84(constB154, 1)) <=> v123(constB154, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB154)) | (~(((~v84(constB154, 0)) <=> v123(constB154, 0)) | ((~v84(constB154, 2)) <=> v123(constB154, 2)) | ((~v84(constB154, 1)) <=> v123(constB154, 1)))))),
% 16.23/11.37 inference(rewrite,[status(thm)],[])).
% 16.23/11.37 tff(20794,plain,
% 16.23/11.37 (((~v94(constB154)) | (~(((~v84(constB154, 2)) <=> v123(constB154, 2)) | ((~v84(constB154, 1)) <=> v123(constB154, 1)) | ((~v84(constB154, 0)) <=> v123(constB154, 0))))) <=> ((~v94(constB154)) | (~(((~v84(constB154, 0)) <=> v123(constB154, 0)) | ((~v84(constB154, 2)) <=> v123(constB154, 2)) | ((~v84(constB154, 1)) <=> v123(constB154, 1)))))),
% 16.23/11.37 inference(rewrite,[status(thm)],[])).
% 16.23/11.37 tff(20795,plain,
% 16.23/11.37 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB154)) | (~(((~v84(constB154, 2)) <=> v123(constB154, 2)) | ((~v84(constB154, 1)) <=> v123(constB154, 1)) | ((~v84(constB154, 0)) <=> v123(constB154, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB154)) | (~(((~v84(constB154, 0)) <=> v123(constB154, 0)) | ((~v84(constB154, 2)) <=> v123(constB154, 2)) | ((~v84(constB154, 1)) <=> v123(constB154, 1))))))),
% 16.23/11.38 inference(monotonicity,[status(thm)],[20794])).
% 16.23/11.38 tff(20796,plain,
% 16.23/11.38 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB154)) | (~(((~v84(constB154, 2)) <=> v123(constB154, 2)) | ((~v84(constB154, 1)) <=> v123(constB154, 1)) | ((~v84(constB154, 0)) <=> v123(constB154, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB154)) | (~(((~v84(constB154, 0)) <=> v123(constB154, 0)) | ((~v84(constB154, 2)) <=> v123(constB154, 2)) | ((~v84(constB154, 1)) <=> v123(constB154, 1)))))),
% 16.23/11.38 inference(transitivity,[status(thm)],[20795, 20793])).
% 16.23/11.38 tff(20797,plain,
% 16.23/11.38 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB154)) | (~(((~v84(constB154, 2)) <=> v123(constB154, 2)) | ((~v84(constB154, 1)) <=> v123(constB154, 1)) | ((~v84(constB154, 0)) <=> v123(constB154, 0)))))),
% 16.23/11.38 inference(quant_inst,[status(thm)],[])).
% 16.23/11.38 tff(20798,plain,
% 16.23/11.38 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB154)) | (~(((~v84(constB154, 0)) <=> v123(constB154, 0)) | ((~v84(constB154, 2)) <=> v123(constB154, 2)) | ((~v84(constB154, 1)) <=> v123(constB154, 1))))),
% 16.23/11.38 inference(modus_ponens,[status(thm)],[20797, 20796])).
% 16.23/11.38 tff(20799,plain,
% 16.23/11.38 ((~v94(constB154)) | (~(((~v84(constB154, 0)) <=> v123(constB154, 0)) | ((~v84(constB154, 2)) <=> v123(constB154, 2)) | ((~v84(constB154, 1)) <=> v123(constB154, 1))))),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20798, 2517])).
% 16.23/11.38 tff(20800,plain,
% 16.23/11.38 (~(((~v84(constB154, 0)) <=> v123(constB154, 0)) | ((~v84(constB154, 2)) <=> v123(constB154, 2)) | ((~v84(constB154, 1)) <=> v123(constB154, 1)))),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20799, 20792])).
% 16.23/11.38 tff(20801,plain,
% 16.23/11.38 ((((~v84(constB154, 0)) <=> v123(constB154, 0)) | ((~v84(constB154, 2)) <=> v123(constB154, 2)) | ((~v84(constB154, 1)) <=> v123(constB154, 1))) | (~((~v84(constB154, 0)) <=> v123(constB154, 0)))),
% 16.23/11.38 inference(tautology,[status(thm)],[])).
% 16.23/11.38 tff(20802,plain,
% 16.23/11.38 (~((~v84(constB154, 0)) <=> v123(constB154, 0))),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20801, 20800])).
% 16.23/11.38 tff(20803,plain,
% 16.23/11.38 (((~v84(constB154, 0)) <=> v123(constB154, 0)) | (~v84(constB154, 0)) | v123(constB154, 0)),
% 16.23/11.38 inference(tautology,[status(thm)],[])).
% 16.23/11.38 tff(20804,plain,
% 16.23/11.38 (~v84(constB154, 0)),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20803, 20802, 20714])).
% 16.23/11.38 tff(20805,plain,
% 16.23/11.38 (((~v84(constB155, 0)) <=> v84(constB154, 0)) | (~v84(constB155, 0)) | v84(constB154, 0)),
% 16.23/11.38 inference(tautology,[status(thm)],[])).
% 16.23/11.38 tff(20806,plain,
% 16.23/11.38 (~v84(constB155, 0)),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20805, 20804, 14910])).
% 16.23/11.38 tff(20807,plain,
% 16.23/11.38 ((v84(constB155, 1) | v84(constB155, 2) | (~v84(constB155, 0))) | v84(constB155, 0)),
% 16.23/11.38 inference(tautology,[status(thm)],[])).
% 16.23/11.38 tff(20808,plain,
% 16.23/11.38 (v84(constB155, 1) | v84(constB155, 2) | (~v84(constB155, 0))),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20807, 20806])).
% 16.23/11.38 tff(20809,plain,
% 16.23/11.38 ((~(v114(constB155) <=> (~(v84(constB155, 1) | v84(constB155, 2) | (~v84(constB155, 0)))))) | (~v114(constB155)) | (~(v84(constB155, 1) | v84(constB155, 2) | (~v84(constB155, 0))))),
% 16.23/11.38 inference(tautology,[status(thm)],[])).
% 16.23/11.38 tff(20810,plain,
% 16.23/11.38 (~v114(constB155)),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20809, 20808, 14874])).
% 16.23/11.38 tff(20811,plain,
% 16.23/11.38 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB155) <=> (~(v84(constB155, 1) | (~v84(constB155, 2)) | (~v84(constB155, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB155) <=> (~(v84(constB155, 1) | (~v84(constB155, 2)) | (~v84(constB155, 0))))))),
% 16.23/11.38 inference(rewrite,[status(thm)],[])).
% 16.23/11.38 tff(20812,plain,
% 16.23/11.38 ((v118(constB155) <=> (~(v84(constB155, 1) | (~v84(constB155, 0)) | (~v84(constB155, 2))))) <=> (v118(constB155) <=> (~(v84(constB155, 1) | (~v84(constB155, 2)) | (~v84(constB155, 0)))))),
% 16.23/11.38 inference(rewrite,[status(thm)],[])).
% 16.23/11.38 tff(20813,plain,
% 16.23/11.38 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB155) <=> (~(v84(constB155, 1) | (~v84(constB155, 0)) | (~v84(constB155, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB155) <=> (~(v84(constB155, 1) | (~v84(constB155, 2)) | (~v84(constB155, 0))))))),
% 16.23/11.38 inference(monotonicity,[status(thm)],[20812])).
% 16.23/11.38 tff(20814,plain,
% 16.23/11.38 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB155) <=> (~(v84(constB155, 1) | (~v84(constB155, 0)) | (~v84(constB155, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB155) <=> (~(v84(constB155, 1) | (~v84(constB155, 2)) | (~v84(constB155, 0))))))),
% 16.23/11.38 inference(transitivity,[status(thm)],[20813, 20811])).
% 16.23/11.38 tff(20815,plain,
% 16.23/11.38 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB155) <=> (~(v84(constB155, 1) | (~v84(constB155, 0)) | (~v84(constB155, 2)))))),
% 16.23/11.38 inference(quant_inst,[status(thm)],[])).
% 16.23/11.38 tff(20816,plain,
% 16.23/11.38 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB155) <=> (~(v84(constB155, 1) | (~v84(constB155, 2)) | (~v84(constB155, 0)))))),
% 16.23/11.38 inference(modus_ponens,[status(thm)],[20815, 20814])).
% 16.23/11.38 tff(20817,plain,
% 16.23/11.38 (v118(constB155) <=> (~(v84(constB155, 1) | (~v84(constB155, 2)) | (~v84(constB155, 0))))),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20816, 2701])).
% 16.23/11.38 tff(20818,plain,
% 16.23/11.38 ((v84(constB155, 1) | (~v84(constB155, 2)) | (~v84(constB155, 0))) | v84(constB155, 0)),
% 16.23/11.38 inference(tautology,[status(thm)],[])).
% 16.23/11.38 tff(20819,plain,
% 16.23/11.38 (v84(constB155, 1) | (~v84(constB155, 2)) | (~v84(constB155, 0))),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20818, 20806])).
% 16.23/11.38 tff(20820,plain,
% 16.23/11.38 ((~(v118(constB155) <=> (~(v84(constB155, 1) | (~v84(constB155, 2)) | (~v84(constB155, 0)))))) | (~v118(constB155)) | (~(v84(constB155, 1) | (~v84(constB155, 2)) | (~v84(constB155, 0))))),
% 16.23/11.38 inference(tautology,[status(thm)],[])).
% 16.23/11.38 tff(20821,plain,
% 16.23/11.38 (~v118(constB155)),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20820, 20819, 20817])).
% 16.23/11.38 tff(20822,plain,
% 16.23/11.38 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB155) <=> (~(v84(constB155, 1) | v84(constB155, 0) | (~v84(constB155, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB155) <=> (~(v84(constB155, 1) | v84(constB155, 0) | (~v84(constB155, 2))))))),
% 16.23/11.38 inference(rewrite,[status(thm)],[])).
% 16.23/11.38 tff(20823,plain,
% 16.23/11.38 ((v117(constB155) <=> (~(v84(constB155, 0) | v84(constB155, 1) | (~v84(constB155, 2))))) <=> (v117(constB155) <=> (~(v84(constB155, 1) | v84(constB155, 0) | (~v84(constB155, 2)))))),
% 16.23/11.38 inference(rewrite,[status(thm)],[])).
% 16.23/11.38 tff(20824,plain,
% 16.23/11.38 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB155) <=> (~(v84(constB155, 0) | v84(constB155, 1) | (~v84(constB155, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB155) <=> (~(v84(constB155, 1) | v84(constB155, 0) | (~v84(constB155, 2))))))),
% 16.23/11.38 inference(monotonicity,[status(thm)],[20823])).
% 16.23/11.38 tff(20825,plain,
% 16.23/11.38 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB155) <=> (~(v84(constB155, 0) | v84(constB155, 1) | (~v84(constB155, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB155) <=> (~(v84(constB155, 1) | v84(constB155, 0) | (~v84(constB155, 2))))))),
% 16.23/11.38 inference(transitivity,[status(thm)],[20824, 20822])).
% 16.23/11.38 tff(20826,plain,
% 16.23/11.38 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB155) <=> (~(v84(constB155, 0) | v84(constB155, 1) | (~v84(constB155, 2)))))),
% 16.23/11.38 inference(quant_inst,[status(thm)],[])).
% 16.23/11.38 tff(20827,plain,
% 16.23/11.38 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB155) <=> (~(v84(constB155, 1) | v84(constB155, 0) | (~v84(constB155, 2)))))),
% 16.23/11.38 inference(modus_ponens,[status(thm)],[20826, 20825])).
% 16.23/11.38 tff(20828,plain,
% 16.23/11.38 (v117(constB155) <=> (~(v84(constB155, 1) | v84(constB155, 0) | (~v84(constB155, 2))))),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20827, 1199])).
% 16.23/11.38 tff(20829,plain,
% 16.23/11.38 ((((~v84(constB155, 1)) <=> v84(constB154, 1)) | ((~v84(constB155, 2)) <=> v84(constB154, 2)) | ((~v84(constB155, 0)) <=> v84(constB154, 0))) | (~((~v84(constB155, 1)) <=> v84(constB154, 1)))),
% 16.23/11.38 inference(tautology,[status(thm)],[])).
% 16.23/11.38 tff(20830,plain,
% 16.23/11.38 (~((~v84(constB155, 1)) <=> v84(constB154, 1))),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20829, 14908])).
% 16.23/11.38 tff(20831,plain,
% 16.23/11.38 ((((~v123(constB154, 2)) <=> v121(constB153, 2)) | ((~v123(constB154, 1)) <=> v121(constB153, 1)) | ((~v123(constB154, 0)) <=> v121(constB153, 0))) | (~((~v123(constB154, 1)) <=> v121(constB153, 1)))),
% 16.23/11.38 inference(tautology,[status(thm)],[])).
% 16.23/11.38 tff(20832,plain,
% 16.23/11.38 (~((~v123(constB154, 1)) <=> v121(constB153, 1))),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20831, 14917])).
% 16.23/11.38 tff(20833,plain,
% 16.23/11.38 ((((~v121(constB153, 2)) <=> v124(constB153, 2)) | ((~v121(constB153, 0)) <=> v124(constB153, 0)) | ((~v121(constB153, 1)) <=> v124(constB153, 1))) | (~((~v121(constB153, 1)) <=> v124(constB153, 1)))),
% 16.23/11.38 inference(tautology,[status(thm)],[])).
% 16.23/11.38 tff(20834,plain,
% 16.23/11.38 (~((~v121(constB153, 1)) <=> v124(constB153, 1))),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20833, 14931])).
% 16.23/11.38 tff(20835,plain,
% 16.23/11.38 ((v124(constB153, 0) | (~v124(constB153, 2)) | (~v124(constB153, 1))) | v124(constB153, 1)),
% 16.23/11.38 inference(tautology,[status(thm)],[])).
% 16.23/11.38 tff(20836,plain,
% 16.23/11.38 (v124(constB153, 1)),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20835, 20708])).
% 16.23/11.38 tff(20837,plain,
% 16.23/11.38 (((~v121(constB153, 1)) <=> v124(constB153, 1)) | v121(constB153, 1) | (~v124(constB153, 1))),
% 16.23/11.38 inference(tautology,[status(thm)],[])).
% 16.23/11.38 tff(20838,plain,
% 16.23/11.38 (v121(constB153, 1)),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20837, 20836, 20834])).
% 16.23/11.38 tff(20839,plain,
% 16.23/11.38 (((~v123(constB154, 1)) <=> v121(constB153, 1)) | v123(constB154, 1) | (~v121(constB153, 1))),
% 16.23/11.38 inference(tautology,[status(thm)],[])).
% 16.23/11.38 tff(20840,plain,
% 16.23/11.38 (v123(constB154, 1)),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20839, 20838, 20832])).
% 16.23/11.38 tff(20841,plain,
% 16.23/11.38 ((((~v84(constB154, 0)) <=> v123(constB154, 0)) | ((~v84(constB154, 2)) <=> v123(constB154, 2)) | ((~v84(constB154, 1)) <=> v123(constB154, 1))) | (~((~v84(constB154, 1)) <=> v123(constB154, 1)))),
% 16.23/11.38 inference(tautology,[status(thm)],[])).
% 16.23/11.38 tff(20842,plain,
% 16.23/11.38 (~((~v84(constB154, 1)) <=> v123(constB154, 1))),
% 16.23/11.38 inference(unit_resolution,[status(thm)],[20841, 20800])).
% 16.23/11.38 tff(20843,plain,
% 16.23/11.38 (((~v84(constB154, 1)) <=> v123(constB154, 1)) | v84(constB154, 1) | (~v123(constB154, 1))),
% 16.23/11.38 inference(tautology,[status(thm)],[])).
% 16.23/11.38 tff(20844,plain,
% 16.25/11.38 (v84(constB154, 1)),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20843, 20842, 20840])).
% 16.25/11.38 tff(20845,plain,
% 16.25/11.38 (((~v84(constB155, 1)) <=> v84(constB154, 1)) | v84(constB155, 1) | (~v84(constB154, 1))),
% 16.25/11.38 inference(tautology,[status(thm)],[])).
% 16.25/11.38 tff(20846,plain,
% 16.25/11.38 (v84(constB155, 1)),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20845, 20844, 20830])).
% 16.25/11.38 tff(20847,plain,
% 16.25/11.38 ((v84(constB155, 1) | v84(constB155, 0) | (~v84(constB155, 2))) | (~v84(constB155, 1))),
% 16.25/11.38 inference(tautology,[status(thm)],[])).
% 16.25/11.38 tff(20848,plain,
% 16.25/11.38 (v84(constB155, 1) | v84(constB155, 0) | (~v84(constB155, 2))),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20847, 20846])).
% 16.25/11.38 tff(20849,plain,
% 16.25/11.38 ((~(v117(constB155) <=> (~(v84(constB155, 1) | v84(constB155, 0) | (~v84(constB155, 2)))))) | (~v117(constB155)) | (~(v84(constB155, 1) | v84(constB155, 0) | (~v84(constB155, 2))))),
% 16.25/11.38 inference(tautology,[status(thm)],[])).
% 16.25/11.38 tff(20850,plain,
% 16.25/11.38 (~v117(constB155)),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20849, 20848, 20828])).
% 16.25/11.38 tff(20851,plain,
% 16.25/11.38 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB155) <=> (~(v84(constB155, 2) | (~v84(constB155, 1)) | (~v84(constB155, 0)))))),
% 16.25/11.38 inference(quant_inst,[status(thm)],[])).
% 16.25/11.38 tff(20852,plain,
% 16.25/11.38 (v116(constB155) <=> (~(v84(constB155, 2) | (~v84(constB155, 1)) | (~v84(constB155, 0))))),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20851, 911])).
% 16.25/11.38 tff(20853,plain,
% 16.25/11.38 ((v84(constB155, 2) | (~v84(constB155, 1)) | (~v84(constB155, 0))) | v84(constB155, 0)),
% 16.25/11.38 inference(tautology,[status(thm)],[])).
% 16.25/11.38 tff(20854,plain,
% 16.25/11.38 (v84(constB155, 2) | (~v84(constB155, 1)) | (~v84(constB155, 0))),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20853, 20806])).
% 16.25/11.38 tff(20855,plain,
% 16.25/11.38 ((~(v116(constB155) <=> (~(v84(constB155, 2) | (~v84(constB155, 1)) | (~v84(constB155, 0)))))) | (~v116(constB155)) | (~(v84(constB155, 2) | (~v84(constB155, 1)) | (~v84(constB155, 0))))),
% 16.25/11.38 inference(tautology,[status(thm)],[])).
% 16.25/11.38 tff(20856,plain,
% 16.25/11.38 (~v116(constB155)),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20855, 20854, 20852])).
% 16.25/11.38 tff(20857,plain,
% 16.25/11.38 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB155) <=> (~(v84(constB155, 2) | v84(constB155, 0) | (~v84(constB155, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB155) <=> (~(v84(constB155, 2) | v84(constB155, 0) | (~v84(constB155, 1))))))),
% 16.25/11.38 inference(rewrite,[status(thm)],[])).
% 16.25/11.38 tff(20858,plain,
% 16.25/11.38 ((v115(constB155) <=> (~(v84(constB155, 0) | v84(constB155, 2) | (~v84(constB155, 1))))) <=> (v115(constB155) <=> (~(v84(constB155, 2) | v84(constB155, 0) | (~v84(constB155, 1)))))),
% 16.25/11.38 inference(rewrite,[status(thm)],[])).
% 16.25/11.38 tff(20859,plain,
% 16.25/11.38 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB155) <=> (~(v84(constB155, 0) | v84(constB155, 2) | (~v84(constB155, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB155) <=> (~(v84(constB155, 2) | v84(constB155, 0) | (~v84(constB155, 1))))))),
% 16.25/11.38 inference(monotonicity,[status(thm)],[20858])).
% 16.25/11.38 tff(20860,plain,
% 16.25/11.38 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB155) <=> (~(v84(constB155, 0) | v84(constB155, 2) | (~v84(constB155, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB155) <=> (~(v84(constB155, 2) | v84(constB155, 0) | (~v84(constB155, 1))))))),
% 16.25/11.38 inference(transitivity,[status(thm)],[20859, 20857])).
% 16.25/11.38 tff(20861,plain,
% 16.25/11.38 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB155) <=> (~(v84(constB155, 0) | v84(constB155, 2) | (~v84(constB155, 1)))))),
% 16.25/11.38 inference(quant_inst,[status(thm)],[])).
% 16.25/11.38 tff(20862,plain,
% 16.25/11.38 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB155) <=> (~(v84(constB155, 2) | v84(constB155, 0) | (~v84(constB155, 1)))))),
% 16.25/11.38 inference(modus_ponens,[status(thm)],[20861, 20860])).
% 16.25/11.38 tff(20863,plain,
% 16.25/11.38 (v115(constB155) <=> (~(v84(constB155, 2) | v84(constB155, 0) | (~v84(constB155, 1))))),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20862, 985])).
% 16.25/11.38 tff(20864,plain,
% 16.25/11.38 ((((~v84(constB155, 1)) <=> v84(constB154, 1)) | ((~v84(constB155, 2)) <=> v84(constB154, 2)) | ((~v84(constB155, 0)) <=> v84(constB154, 0))) | (~((~v84(constB155, 2)) <=> v84(constB154, 2)))),
% 16.25/11.38 inference(tautology,[status(thm)],[])).
% 16.25/11.38 tff(20865,plain,
% 16.25/11.38 (~((~v84(constB155, 2)) <=> v84(constB154, 2))),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20864, 14908])).
% 16.25/11.38 tff(20866,plain,
% 16.25/11.38 ((((~v123(constB154, 2)) <=> v121(constB153, 2)) | ((~v123(constB154, 1)) <=> v121(constB153, 1)) | ((~v123(constB154, 0)) <=> v121(constB153, 0))) | (~((~v123(constB154, 2)) <=> v121(constB153, 2)))),
% 16.25/11.38 inference(tautology,[status(thm)],[])).
% 16.25/11.38 tff(20867,plain,
% 16.25/11.38 (~((~v123(constB154, 2)) <=> v121(constB153, 2))),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20866, 14917])).
% 16.25/11.38 tff(20868,plain,
% 16.25/11.38 ((((~v121(constB153, 2)) <=> v124(constB153, 2)) | ((~v121(constB153, 0)) <=> v124(constB153, 0)) | ((~v121(constB153, 1)) <=> v124(constB153, 1))) | (~((~v121(constB153, 2)) <=> v124(constB153, 2)))),
% 16.25/11.38 inference(tautology,[status(thm)],[])).
% 16.25/11.38 tff(20869,plain,
% 16.25/11.38 (~((~v121(constB153, 2)) <=> v124(constB153, 2))),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20868, 14931])).
% 16.25/11.38 tff(20870,plain,
% 16.25/11.38 ((v124(constB153, 0) | (~v124(constB153, 2)) | (~v124(constB153, 1))) | v124(constB153, 2)),
% 16.25/11.38 inference(tautology,[status(thm)],[])).
% 16.25/11.38 tff(20871,plain,
% 16.25/11.38 (v124(constB153, 2)),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20870, 20708])).
% 16.25/11.38 tff(20872,plain,
% 16.25/11.38 (((~v121(constB153, 2)) <=> v124(constB153, 2)) | v121(constB153, 2) | (~v124(constB153, 2))),
% 16.25/11.38 inference(tautology,[status(thm)],[])).
% 16.25/11.38 tff(20873,plain,
% 16.25/11.38 (v121(constB153, 2)),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20872, 20871, 20869])).
% 16.25/11.38 tff(20874,plain,
% 16.25/11.38 (((~v123(constB154, 2)) <=> v121(constB153, 2)) | v123(constB154, 2) | (~v121(constB153, 2))),
% 16.25/11.38 inference(tautology,[status(thm)],[])).
% 16.25/11.38 tff(20875,plain,
% 16.25/11.38 (v123(constB154, 2)),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20874, 20873, 20867])).
% 16.25/11.38 tff(20876,plain,
% 16.25/11.38 ((((~v84(constB154, 0)) <=> v123(constB154, 0)) | ((~v84(constB154, 2)) <=> v123(constB154, 2)) | ((~v84(constB154, 1)) <=> v123(constB154, 1))) | (~((~v84(constB154, 2)) <=> v123(constB154, 2)))),
% 16.25/11.38 inference(tautology,[status(thm)],[])).
% 16.25/11.38 tff(20877,plain,
% 16.25/11.38 (~((~v84(constB154, 2)) <=> v123(constB154, 2))),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20876, 20800])).
% 16.25/11.38 tff(20878,plain,
% 16.25/11.38 (((~v84(constB154, 2)) <=> v123(constB154, 2)) | v84(constB154, 2) | (~v123(constB154, 2))),
% 16.25/11.38 inference(tautology,[status(thm)],[])).
% 16.25/11.38 tff(20879,plain,
% 16.25/11.38 (v84(constB154, 2)),
% 16.25/11.38 inference(unit_resolution,[status(thm)],[20878, 20877, 20875])).
% 16.25/11.39 tff(20880,plain,
% 16.25/11.39 (((~v84(constB155, 2)) <=> v84(constB154, 2)) | v84(constB155, 2) | (~v84(constB154, 2))),
% 16.25/11.39 inference(tautology,[status(thm)],[])).
% 16.25/11.39 tff(20881,plain,
% 16.25/11.39 (v84(constB155, 2)),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20880, 20879, 20865])).
% 16.25/11.39 tff(20882,plain,
% 16.25/11.39 ((v84(constB155, 2) | v84(constB155, 0) | (~v84(constB155, 1))) | (~v84(constB155, 2))),
% 16.25/11.39 inference(tautology,[status(thm)],[])).
% 16.25/11.39 tff(20883,plain,
% 16.25/11.39 (v84(constB155, 2) | v84(constB155, 0) | (~v84(constB155, 1))),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20882, 20881])).
% 16.25/11.39 tff(20884,plain,
% 16.25/11.39 ((~(v115(constB155) <=> (~(v84(constB155, 2) | v84(constB155, 0) | (~v84(constB155, 1)))))) | (~v115(constB155)) | (~(v84(constB155, 2) | v84(constB155, 0) | (~v84(constB155, 1))))),
% 16.25/11.39 inference(tautology,[status(thm)],[])).
% 16.25/11.39 tff(20885,plain,
% 16.25/11.39 (~v115(constB155)),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20884, 20883, 20863])).
% 16.25/11.39 tff(20886,plain,
% 16.25/11.39 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB155) <=> (~(v84(constB155, 0) | v84(constB155, 1) | v84(constB155, 2))))),
% 16.25/11.39 inference(quant_inst,[status(thm)],[])).
% 16.25/11.39 tff(20887,plain,
% 16.25/11.39 (v113(constB155) <=> (~(v84(constB155, 0) | v84(constB155, 1) | v84(constB155, 2)))),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20886, 1466])).
% 16.25/11.39 tff(20888,plain,
% 16.25/11.39 ((v84(constB155, 0) | v84(constB155, 1) | v84(constB155, 2)) | (~v84(constB155, 2))),
% 16.25/11.39 inference(tautology,[status(thm)],[])).
% 16.25/11.39 tff(20889,plain,
% 16.25/11.39 (v84(constB155, 0) | v84(constB155, 1) | v84(constB155, 2)),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20888, 20881])).
% 16.25/11.39 tff(20890,plain,
% 16.25/11.39 ((~(v113(constB155) <=> (~(v84(constB155, 0) | v84(constB155, 1) | v84(constB155, 2))))) | (~v113(constB155)) | (~(v84(constB155, 0) | v84(constB155, 1) | v84(constB155, 2)))),
% 16.25/11.39 inference(tautology,[status(thm)],[])).
% 16.25/11.39 tff(20891,plain,
% 16.25/11.39 (~v113(constB155)),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20890, 20889, 20887])).
% 16.25/11.39 tff(20892,plain,
% 16.25/11.39 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB155) | v114(constB155) | v115(constB155) | v116(constB155) | v117(constB155) | v118(constB155) | (~(v124(constB155, 2) | v124(constB155, 1) | (~v124(constB155, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB155) | v114(constB155) | v115(constB155) | v116(constB155) | v117(constB155) | v118(constB155) | (~(v124(constB155, 2) | v124(constB155, 1) | (~v124(constB155, 0)))))),
% 16.25/11.39 inference(rewrite,[status(thm)],[])).
% 16.25/11.39 tff(20893,plain,
% 16.25/11.39 ((v118(constB155) | v117(constB155) | v116(constB155) | v115(constB155) | v114(constB155) | v113(constB155) | (~(v124(constB155, 2) | v124(constB155, 1) | (~v124(constB155, 0))))) <=> (v113(constB155) | v114(constB155) | v115(constB155) | v116(constB155) | v117(constB155) | v118(constB155) | (~(v124(constB155, 2) | v124(constB155, 1) | (~v124(constB155, 0)))))),
% 16.25/11.39 inference(rewrite,[status(thm)],[])).
% 16.25/11.39 tff(20894,plain,
% 16.25/11.39 ((~(v124(constB155, 1) | v124(constB155, 2) | (~v124(constB155, 0)))) <=> (~(v124(constB155, 2) | v124(constB155, 1) | (~v124(constB155, 0))))),
% 16.25/11.39 inference(rewrite,[status(thm)],[])).
% 16.25/11.39 tff(20895,plain,
% 16.25/11.39 ((v118(constB155) | v117(constB155) | v116(constB155) | v115(constB155) | v114(constB155) | v113(constB155) | (~(v124(constB155, 1) | v124(constB155, 2) | (~v124(constB155, 0))))) <=> (v118(constB155) | v117(constB155) | v116(constB155) | v115(constB155) | v114(constB155) | v113(constB155) | (~(v124(constB155, 2) | v124(constB155, 1) | (~v124(constB155, 0)))))),
% 16.25/11.39 inference(monotonicity,[status(thm)],[20894])).
% 16.25/11.39 tff(20896,plain,
% 16.25/11.39 ((v118(constB155) | v117(constB155) | v116(constB155) | v115(constB155) | v114(constB155) | v113(constB155) | (~(v124(constB155, 1) | v124(constB155, 2) | (~v124(constB155, 0))))) <=> (v113(constB155) | v114(constB155) | v115(constB155) | v116(constB155) | v117(constB155) | v118(constB155) | (~(v124(constB155, 2) | v124(constB155, 1) | (~v124(constB155, 0)))))),
% 16.25/11.39 inference(transitivity,[status(thm)],[20895, 20893])).
% 16.25/11.39 tff(20897,plain,
% 16.25/11.39 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB155) | v117(constB155) | v116(constB155) | v115(constB155) | v114(constB155) | v113(constB155) | (~(v124(constB155, 1) | v124(constB155, 2) | (~v124(constB155, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB155) | v114(constB155) | v115(constB155) | v116(constB155) | v117(constB155) | v118(constB155) | (~(v124(constB155, 2) | v124(constB155, 1) | (~v124(constB155, 0))))))),
% 16.25/11.39 inference(monotonicity,[status(thm)],[20896])).
% 16.25/11.39 tff(20898,plain,
% 16.25/11.39 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB155) | v117(constB155) | v116(constB155) | v115(constB155) | v114(constB155) | v113(constB155) | (~(v124(constB155, 1) | v124(constB155, 2) | (~v124(constB155, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB155) | v114(constB155) | v115(constB155) | v116(constB155) | v117(constB155) | v118(constB155) | (~(v124(constB155, 2) | v124(constB155, 1) | (~v124(constB155, 0)))))),
% 16.25/11.39 inference(transitivity,[status(thm)],[20897, 20892])).
% 16.25/11.39 tff(20899,plain,
% 16.25/11.39 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB155) | v117(constB155) | v116(constB155) | v115(constB155) | v114(constB155) | v113(constB155) | (~(v124(constB155, 1) | v124(constB155, 2) | (~v124(constB155, 0)))))),
% 16.25/11.39 inference(quant_inst,[status(thm)],[])).
% 16.25/11.39 tff(20900,plain,
% 16.25/11.39 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB155) | v114(constB155) | v115(constB155) | v116(constB155) | v117(constB155) | v118(constB155) | (~(v124(constB155, 2) | v124(constB155, 1) | (~v124(constB155, 0))))),
% 16.25/11.39 inference(modus_ponens,[status(thm)],[20899, 20898])).
% 16.25/11.39 tff(20901,plain,
% 16.25/11.39 (v113(constB155) | v114(constB155) | v115(constB155) | v116(constB155) | v117(constB155) | v118(constB155) | (~(v124(constB155, 2) | v124(constB155, 1) | (~v124(constB155, 0))))),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20900, 2777])).
% 16.25/11.39 tff(20902,plain,
% 16.25/11.39 (~(v124(constB155, 2) | v124(constB155, 1) | (~v124(constB155, 0)))),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20901, 20891, 20885, 20856, 20850, 20821, 20810])).
% 16.25/11.39 tff(20903,plain,
% 16.25/11.39 ((v124(constB155, 2) | v124(constB155, 1) | (~v124(constB155, 0))) | (~v124(constB155, 2))),
% 16.25/11.39 inference(tautology,[status(thm)],[])).
% 16.25/11.39 tff(20904,plain,
% 16.25/11.39 (~v124(constB155, 2)),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20903, 20902])).
% 16.25/11.39 tff(20905,plain,
% 16.25/11.39 (((~v121(constB155, 2)) <=> v124(constB155, 2)) | (~v121(constB155, 2)) | v124(constB155, 2)),
% 16.25/11.39 inference(tautology,[status(thm)],[])).
% 16.25/11.39 tff(20906,plain,
% 16.25/11.39 (~v121(constB155, 2)),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20905, 20904, 14872])).
% 16.25/11.39 tff(20907,plain,
% 16.25/11.39 (((~v123(constB156, 2)) <=> v121(constB155, 2)) | (~v123(constB156, 2)) | v121(constB155, 2)),
% 16.25/11.39 inference(tautology,[status(thm)],[])).
% 16.25/11.39 tff(20908,plain,
% 16.25/11.39 (~v123(constB156, 2)),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20907, 20906, 14858])).
% 16.25/11.39 tff(20909,plain,
% 16.25/11.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB155, constB156)) | (v94(constB156) <=> (~((~v95(constB156)) | (~v104(constB156))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB155, constB156)) | (v94(constB156) <=> (~((~v95(constB156)) | (~v104(constB156))))))),
% 16.25/11.39 inference(rewrite,[status(thm)],[])).
% 16.25/11.39 tff(20910,plain,
% 16.25/11.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB155, constB156)) | (v94(constB156) <=> (~((~v95(constB156)) | (~v104(constB156))))))),
% 16.25/11.39 inference(quant_inst,[status(thm)],[])).
% 16.25/11.39 tff(20911,plain,
% 16.25/11.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB155, constB156)) | (v94(constB156) <=> (~((~v95(constB156)) | (~v104(constB156)))))),
% 16.25/11.39 inference(modus_ponens,[status(thm)],[20910, 20909])).
% 16.25/11.39 tff(20912,plain,
% 16.25/11.39 (v94(constB156) <=> (~((~v95(constB156)) | (~v104(constB156))))),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20911, 14852, 770])).
% 16.25/11.39 tff(20913,plain,
% 16.25/11.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156))))))),
% 16.25/11.39 inference(rewrite,[status(thm)],[])).
% 16.25/11.39 tff(20914,plain,
% 16.25/11.39 (((~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v96(constB156)) | (~v1(constB156)))))) <=> ((~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156))))))),
% 16.25/11.39 inference(rewrite,[status(thm)],[])).
% 16.25/11.39 tff(20915,plain,
% 16.25/11.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v96(constB156)) | (~v1(constB156))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156)))))))),
% 16.25/11.39 inference(monotonicity,[status(thm)],[20914])).
% 16.25/11.39 tff(20916,plain,
% 16.25/11.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v96(constB156)) | (~v1(constB156))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156))))))),
% 16.25/11.39 inference(transitivity,[status(thm)],[20915, 20913])).
% 16.25/11.39 tff(20917,plain,
% 16.25/11.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v96(constB156)) | (~v1(constB156))))))),
% 16.25/11.39 inference(quant_inst,[status(thm)],[])).
% 16.25/11.39 tff(20918,plain,
% 16.25/11.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156)))))),
% 16.25/11.39 inference(modus_ponens,[status(thm)],[20917, 20916])).
% 16.25/11.39 tff(20919,plain,
% 16.25/11.39 (v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156))))),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20918, 14852, 790])).
% 16.25/11.39 tff(20920,plain,
% 16.25/11.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB155, constB156)) | ((~v96(constB156)) <=> v98(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB155, constB156)) | ((~v96(constB156)) <=> v98(constB156)))),
% 16.25/11.39 inference(rewrite,[status(thm)],[])).
% 16.25/11.39 tff(20921,plain,
% 16.25/11.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB155, constB156)) | ((~v96(constB156)) <=> v98(constB156)))),
% 16.25/11.39 inference(quant_inst,[status(thm)],[])).
% 16.25/11.39 tff(20922,plain,
% 16.25/11.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB155, constB156)) | ((~v96(constB156)) <=> v98(constB156))),
% 16.25/11.39 inference(modus_ponens,[status(thm)],[20921, 20920])).
% 16.25/11.39 tff(20923,plain,
% 16.25/11.39 ((~v96(constB156)) <=> v98(constB156)),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20922, 14852, 2332])).
% 16.25/11.39 tff(20924,plain,
% 16.25/11.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB155, constB156)) | (v98(constB156) <=> v1(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB155, constB156)) | (v98(constB156) <=> v1(constB155)))),
% 16.25/11.39 inference(rewrite,[status(thm)],[])).
% 16.25/11.39 tff(20925,plain,
% 16.25/11.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB155, constB156)) | (v98(constB156) <=> v1(constB155)))),
% 16.25/11.39 inference(quant_inst,[status(thm)],[])).
% 16.25/11.39 tff(20926,plain,
% 16.25/11.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB155, constB156)) | (v98(constB156) <=> v1(constB155))),
% 16.25/11.39 inference(modus_ponens,[status(thm)],[20925, 20924])).
% 16.25/11.39 tff(20927,plain,
% 16.25/11.39 (v98(constB156) <=> v1(constB155)),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20926, 14852, 2346])).
% 16.25/11.39 tff(20928,plain,
% 16.25/11.39 ((~(v98(constB156) <=> v1(constB155))) | (~v98(constB156)) | v1(constB155)),
% 16.25/11.39 inference(tautology,[status(thm)],[])).
% 16.25/11.39 tff(20929,plain,
% 16.25/11.39 ((~(v98(constB156) <=> v1(constB155))) | (~v98(constB156))),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20928, 14891])).
% 16.25/11.39 tff(20930,plain,
% 16.25/11.39 (~v98(constB156)),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20929, 20927])).
% 16.25/11.39 tff(20931,plain,
% 16.25/11.39 ((~((~v96(constB156)) <=> v98(constB156))) | v96(constB156) | v98(constB156)),
% 16.25/11.39 inference(tautology,[status(thm)],[])).
% 16.25/11.39 tff(20932,plain,
% 16.25/11.39 (v96(constB156)),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20931, 20930, 20923])).
% 16.25/11.39 tff(20933,plain,
% 16.25/11.39 (v1(constB156) <=> v1(constB156)),
% 16.25/11.39 inference(rewrite,[status(thm)],[])).
% 16.25/11.39 tff(20934,axiom,(v1(constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_156')).
% 16.25/11.39 tff(20935,plain,
% 16.25/11.39 (v1(constB156)),
% 16.25/11.39 inference(modus_ponens,[status(thm)],[20934, 20933])).
% 16.25/11.39 tff(20936,plain,
% 16.25/11.39 ((~((~v1(constB156)) | (~v96(constB156)))) | (~v1(constB156)) | (~v96(constB156))),
% 16.25/11.39 inference(tautology,[status(thm)],[])).
% 16.25/11.39 tff(20937,plain,
% 16.25/11.39 ((~((~v1(constB156)) | (~v96(constB156)))) | (~v96(constB156))),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20936, 20935])).
% 16.25/11.39 tff(20938,plain,
% 16.25/11.39 (~((~v1(constB156)) | (~v96(constB156)))),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20937, 20932])).
% 16.25/11.39 tff(20939,plain,
% 16.25/11.39 ((~(v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156)))))) | v95(constB156) | ((~v1(constB156)) | (~v96(constB156)))),
% 16.25/11.39 inference(tautology,[status(thm)],[])).
% 16.25/11.39 tff(20940,plain,
% 16.25/11.39 (v95(constB156)),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20939, 20938, 20919])).
% 16.25/11.39 tff(20941,plain,
% 16.25/11.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB155, constB156)) | (v104(constB156) <=> v102(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB155, constB156)) | (v104(constB156) <=> v102(constB155)))),
% 16.25/11.39 inference(rewrite,[status(thm)],[])).
% 16.25/11.39 tff(20942,plain,
% 16.25/11.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB155, constB156)) | (v104(constB156) <=> v102(constB155)))),
% 16.25/11.39 inference(quant_inst,[status(thm)],[])).
% 16.25/11.39 tff(20943,plain,
% 16.25/11.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB155, constB156)) | (v104(constB156) <=> v102(constB155))),
% 16.25/11.39 inference(modus_ponens,[status(thm)],[20942, 20941])).
% 16.25/11.39 tff(20944,plain,
% 16.25/11.39 (v104(constB156) <=> v102(constB155)),
% 16.25/11.39 inference(unit_resolution,[status(thm)],[20943, 14852, 2373])).
% 16.25/11.39 tff(20945,plain,
% 16.25/11.39 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB155) <=> (v105(constB155) | v106(constB155)))),
% 16.25/11.40 inference(quant_inst,[status(thm)],[])).
% 16.25/11.40 tff(20946,plain,
% 16.25/11.40 (v102(constB155) <=> (v105(constB155) | v106(constB155))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20945, 2384])).
% 16.25/11.40 tff(20947,plain,
% 16.25/11.40 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB155) <=> (~((~v107(constB155)) | (~v120(constB155)))))),
% 16.25/11.40 inference(quant_inst,[status(thm)],[])).
% 16.25/11.40 tff(20948,plain,
% 16.25/11.40 (v106(constB155) <=> (~((~v107(constB155)) | (~v120(constB155))))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20947, 2396])).
% 16.25/11.40 tff(20949,plain,
% 16.25/11.40 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB155) <=> (v108(constB155) | v119(constB155)))),
% 16.25/11.40 inference(quant_inst,[status(thm)],[])).
% 16.25/11.40 tff(20950,plain,
% 16.25/11.40 (v107(constB155) <=> (v108(constB155) | v119(constB155))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20949, 2405])).
% 16.25/11.40 tff(20951,plain,
% 16.25/11.40 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB155) <=> (~(v84(constB155, 0) | (~v84(constB155, 1)) | (~v84(constB155, 2)))))),
% 16.25/11.40 inference(quant_inst,[status(thm)],[])).
% 16.25/11.40 tff(20952,plain,
% 16.25/11.40 (v119(constB155) <=> (~(v84(constB155, 0) | (~v84(constB155, 1)) | (~v84(constB155, 2))))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20951, 2849])).
% 16.25/11.40 tff(20953,plain,
% 16.25/11.40 ((~(v84(constB155, 0) | (~v84(constB155, 1)) | (~v84(constB155, 2)))) | v84(constB155, 0) | (~v84(constB155, 1)) | (~v84(constB155, 2))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20954,plain,
% 16.25/11.40 (~(v84(constB155, 0) | (~v84(constB155, 1)) | (~v84(constB155, 2)))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20953, 20846, 20806, 20881])).
% 16.25/11.40 tff(20955,plain,
% 16.25/11.40 ((~(v119(constB155) <=> (~(v84(constB155, 0) | (~v84(constB155, 1)) | (~v84(constB155, 2)))))) | v119(constB155) | (v84(constB155, 0) | (~v84(constB155, 1)) | (~v84(constB155, 2)))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20956,plain,
% 16.25/11.40 (v119(constB155)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20955, 20954, 20952])).
% 16.25/11.40 tff(20957,plain,
% 16.25/11.40 ((v108(constB155) | v119(constB155)) | (~v119(constB155))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20958,plain,
% 16.25/11.40 (v108(constB155) | v119(constB155)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20957, 20956])).
% 16.25/11.40 tff(20959,plain,
% 16.25/11.40 ((~(v107(constB155) <=> (v108(constB155) | v119(constB155)))) | v107(constB155) | (~(v108(constB155) | v119(constB155)))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20960,plain,
% 16.25/11.40 (v107(constB155)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20959, 20958, 20950])).
% 16.25/11.40 tff(20961,plain,
% 16.25/11.40 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB155)) <=> v105(constB155))),
% 16.25/11.40 inference(quant_inst,[status(thm)],[])).
% 16.25/11.40 tff(20962,plain,
% 16.25/11.40 ((~v120(constB155)) <=> v105(constB155)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20961, 2484])).
% 16.25/11.40 tff(20963,plain,
% 16.25/11.40 ((~((~v120(constB155)) <=> v105(constB155))) | v120(constB155) | v105(constB155)),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20964,plain,
% 16.25/11.40 ((~((~v120(constB155)) <=> v105(constB155))) | v120(constB155)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20963, 14865])).
% 16.25/11.40 tff(20965,plain,
% 16.25/11.40 (v120(constB155)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20964, 20962])).
% 16.25/11.40 tff(20966,plain,
% 16.25/11.40 ((~((~v107(constB155)) | (~v120(constB155)))) | (~v107(constB155)) | (~v120(constB155))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20967,plain,
% 16.25/11.40 ((~((~v107(constB155)) | (~v120(constB155)))) | (~v107(constB155))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20966, 20965])).
% 16.25/11.40 tff(20968,plain,
% 16.25/11.40 (~((~v107(constB155)) | (~v120(constB155)))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20967, 20960])).
% 16.25/11.40 tff(20969,plain,
% 16.25/11.40 ((~(v106(constB155) <=> (~((~v107(constB155)) | (~v120(constB155)))))) | v106(constB155) | ((~v107(constB155)) | (~v120(constB155)))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20970,plain,
% 16.25/11.40 (v106(constB155)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20969, 20968, 20948])).
% 16.25/11.40 tff(20971,plain,
% 16.25/11.40 ((v105(constB155) | v106(constB155)) | (~v106(constB155))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20972,plain,
% 16.25/11.40 (v105(constB155) | v106(constB155)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20971, 20970])).
% 16.25/11.40 tff(20973,plain,
% 16.25/11.40 ((~(v102(constB155) <=> (v105(constB155) | v106(constB155)))) | v102(constB155) | (~(v105(constB155) | v106(constB155)))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20974,plain,
% 16.25/11.40 (v102(constB155)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20973, 20972, 20946])).
% 16.25/11.40 tff(20975,plain,
% 16.25/11.40 ((~(v104(constB156) <=> v102(constB155))) | v104(constB156) | (~v102(constB155))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20976,plain,
% 16.25/11.40 (v104(constB156)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20975, 20974, 20944])).
% 16.25/11.40 tff(20977,plain,
% 16.25/11.40 ((~((~v95(constB156)) | (~v104(constB156)))) | (~v95(constB156)) | (~v104(constB156))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20978,plain,
% 16.25/11.40 (~((~v95(constB156)) | (~v104(constB156)))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20977, 20976, 20940])).
% 16.25/11.40 tff(20979,plain,
% 16.25/11.40 ((~(v94(constB156) <=> (~((~v95(constB156)) | (~v104(constB156)))))) | v94(constB156) | ((~v95(constB156)) | (~v104(constB156)))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20980,plain,
% 16.25/11.40 (v94(constB156)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20979, 20978, 20912])).
% 16.25/11.40 tff(20981,plain,
% 16.25/11.40 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB156)) | (~(((~v84(constB156, 2)) <=> v123(constB156, 2)) | ((~v84(constB156, 1)) <=> v123(constB156, 1)) | ((~v84(constB156, 0)) <=> v123(constB156, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB156)) | (~(((~v84(constB156, 2)) <=> v123(constB156, 2)) | ((~v84(constB156, 1)) <=> v123(constB156, 1)) | ((~v84(constB156, 0)) <=> v123(constB156, 0)))))),
% 16.25/11.40 inference(rewrite,[status(thm)],[])).
% 16.25/11.40 tff(20982,plain,
% 16.25/11.40 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB156)) | (~(((~v84(constB156, 2)) <=> v123(constB156, 2)) | ((~v84(constB156, 1)) <=> v123(constB156, 1)) | ((~v84(constB156, 0)) <=> v123(constB156, 0)))))),
% 16.25/11.40 inference(quant_inst,[status(thm)],[])).
% 16.25/11.40 tff(20983,plain,
% 16.25/11.40 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB156)) | (~(((~v84(constB156, 2)) <=> v123(constB156, 2)) | ((~v84(constB156, 1)) <=> v123(constB156, 1)) | ((~v84(constB156, 0)) <=> v123(constB156, 0))))),
% 16.25/11.40 inference(modus_ponens,[status(thm)],[20982, 20981])).
% 16.25/11.40 tff(20984,plain,
% 16.25/11.40 ((~v94(constB156)) | (~(((~v84(constB156, 2)) <=> v123(constB156, 2)) | ((~v84(constB156, 1)) <=> v123(constB156, 1)) | ((~v84(constB156, 0)) <=> v123(constB156, 0))))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20983, 2517])).
% 16.25/11.40 tff(20985,plain,
% 16.25/11.40 (~(((~v84(constB156, 2)) <=> v123(constB156, 2)) | ((~v84(constB156, 1)) <=> v123(constB156, 1)) | ((~v84(constB156, 0)) <=> v123(constB156, 0)))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20984, 20980])).
% 16.25/11.40 tff(20986,plain,
% 16.25/11.40 ((((~v84(constB156, 2)) <=> v123(constB156, 2)) | ((~v84(constB156, 1)) <=> v123(constB156, 1)) | ((~v84(constB156, 0)) <=> v123(constB156, 0))) | (~((~v84(constB156, 2)) <=> v123(constB156, 2)))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20987,plain,
% 16.25/11.40 (~((~v84(constB156, 2)) <=> v123(constB156, 2))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20986, 20985])).
% 16.25/11.40 tff(20988,plain,
% 16.25/11.40 (((~v84(constB156, 2)) <=> v123(constB156, 2)) | (~v84(constB156, 2)) | v123(constB156, 2)),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20989,plain,
% 16.25/11.40 (~v84(constB156, 2)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20988, 20987, 20908])).
% 16.25/11.40 tff(20990,plain,
% 16.25/11.40 (((~v84(constB157, 2)) <=> v84(constB156, 2)) | (~v84(constB157, 2)) | v84(constB156, 2)),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20991,plain,
% 16.25/11.40 (~v84(constB157, 2)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20990, 20989, 14849])).
% 16.25/11.40 tff(20992,plain,
% 16.25/11.40 ((((~v84(constB157, 1)) <=> v84(constB156, 1)) | ((~v84(constB157, 2)) <=> v84(constB156, 2)) | ((~v84(constB157, 0)) <=> v84(constB156, 0))) | (~((~v84(constB157, 0)) <=> v84(constB156, 0)))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20993,plain,
% 16.25/11.40 (~((~v84(constB157, 0)) <=> v84(constB156, 0))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20992, 14847])).
% 16.25/11.40 tff(20994,plain,
% 16.25/11.40 ((((~v123(constB156, 2)) <=> v121(constB155, 2)) | ((~v123(constB156, 1)) <=> v121(constB155, 1)) | ((~v123(constB156, 0)) <=> v121(constB155, 0))) | (~((~v123(constB156, 0)) <=> v121(constB155, 0)))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20995,plain,
% 16.25/11.40 (~((~v123(constB156, 0)) <=> v121(constB155, 0))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20994, 14856])).
% 16.25/11.40 tff(20996,plain,
% 16.25/11.40 ((((~v121(constB155, 2)) <=> v124(constB155, 2)) | ((~v121(constB155, 0)) <=> v124(constB155, 0)) | ((~v121(constB155, 1)) <=> v124(constB155, 1))) | (~((~v121(constB155, 0)) <=> v124(constB155, 0)))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20997,plain,
% 16.25/11.40 (~((~v121(constB155, 0)) <=> v124(constB155, 0))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20996, 14870])).
% 16.25/11.40 tff(20998,plain,
% 16.25/11.40 ((v124(constB155, 2) | v124(constB155, 1) | (~v124(constB155, 0))) | v124(constB155, 0)),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(20999,plain,
% 16.25/11.40 (v124(constB155, 0)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[20998, 20902])).
% 16.25/11.40 tff(21000,plain,
% 16.25/11.40 (((~v121(constB155, 0)) <=> v124(constB155, 0)) | v121(constB155, 0) | (~v124(constB155, 0))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21001,plain,
% 16.25/11.40 (v121(constB155, 0)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21000, 20999, 20997])).
% 16.25/11.40 tff(21002,plain,
% 16.25/11.40 (((~v123(constB156, 0)) <=> v121(constB155, 0)) | v123(constB156, 0) | (~v121(constB155, 0))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21003,plain,
% 16.25/11.40 (v123(constB156, 0)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21002, 21001, 20995])).
% 16.25/11.40 tff(21004,plain,
% 16.25/11.40 ((((~v84(constB156, 2)) <=> v123(constB156, 2)) | ((~v84(constB156, 1)) <=> v123(constB156, 1)) | ((~v84(constB156, 0)) <=> v123(constB156, 0))) | (~((~v84(constB156, 0)) <=> v123(constB156, 0)))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21005,plain,
% 16.25/11.40 (~((~v84(constB156, 0)) <=> v123(constB156, 0))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21004, 20985])).
% 16.25/11.40 tff(21006,plain,
% 16.25/11.40 (((~v84(constB156, 0)) <=> v123(constB156, 0)) | v84(constB156, 0) | (~v123(constB156, 0))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21007,plain,
% 16.25/11.40 (v84(constB156, 0)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21006, 21005, 21003])).
% 16.25/11.40 tff(21008,plain,
% 16.25/11.40 (((~v84(constB157, 0)) <=> v84(constB156, 0)) | v84(constB157, 0) | (~v84(constB156, 0))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21009,plain,
% 16.25/11.40 (v84(constB157, 0)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21008, 21007, 20993])).
% 16.25/11.40 tff(21010,plain,
% 16.25/11.40 ((((~v84(constB157, 1)) <=> v84(constB156, 1)) | ((~v84(constB157, 2)) <=> v84(constB156, 2)) | ((~v84(constB157, 0)) <=> v84(constB156, 0))) | (~((~v84(constB157, 1)) <=> v84(constB156, 1)))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21011,plain,
% 16.25/11.40 (~((~v84(constB157, 1)) <=> v84(constB156, 1))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21010, 14847])).
% 16.25/11.40 tff(21012,plain,
% 16.25/11.40 ((((~v123(constB156, 2)) <=> v121(constB155, 2)) | ((~v123(constB156, 1)) <=> v121(constB155, 1)) | ((~v123(constB156, 0)) <=> v121(constB155, 0))) | (~((~v123(constB156, 1)) <=> v121(constB155, 1)))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21013,plain,
% 16.25/11.40 (~((~v123(constB156, 1)) <=> v121(constB155, 1))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21012, 14856])).
% 16.25/11.40 tff(21014,plain,
% 16.25/11.40 ((((~v121(constB155, 2)) <=> v124(constB155, 2)) | ((~v121(constB155, 0)) <=> v124(constB155, 0)) | ((~v121(constB155, 1)) <=> v124(constB155, 1))) | (~((~v121(constB155, 1)) <=> v124(constB155, 1)))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21015,plain,
% 16.25/11.40 (~((~v121(constB155, 1)) <=> v124(constB155, 1))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21014, 14870])).
% 16.25/11.40 tff(21016,plain,
% 16.25/11.40 ((v124(constB155, 2) | v124(constB155, 1) | (~v124(constB155, 0))) | (~v124(constB155, 1))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21017,plain,
% 16.25/11.40 (~v124(constB155, 1)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21016, 20902])).
% 16.25/11.40 tff(21018,plain,
% 16.25/11.40 (((~v121(constB155, 1)) <=> v124(constB155, 1)) | (~v121(constB155, 1)) | v124(constB155, 1)),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21019,plain,
% 16.25/11.40 (~v121(constB155, 1)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21018, 21017, 21015])).
% 16.25/11.40 tff(21020,plain,
% 16.25/11.40 (((~v123(constB156, 1)) <=> v121(constB155, 1)) | (~v123(constB156, 1)) | v121(constB155, 1)),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21021,plain,
% 16.25/11.40 (~v123(constB156, 1)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21020, 21019, 21013])).
% 16.25/11.40 tff(21022,plain,
% 16.25/11.40 ((((~v84(constB156, 2)) <=> v123(constB156, 2)) | ((~v84(constB156, 1)) <=> v123(constB156, 1)) | ((~v84(constB156, 0)) <=> v123(constB156, 0))) | (~((~v84(constB156, 1)) <=> v123(constB156, 1)))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21023,plain,
% 16.25/11.40 (~((~v84(constB156, 1)) <=> v123(constB156, 1))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21022, 20985])).
% 16.25/11.40 tff(21024,plain,
% 16.25/11.40 (((~v84(constB156, 1)) <=> v123(constB156, 1)) | (~v84(constB156, 1)) | v123(constB156, 1)),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21025,plain,
% 16.25/11.40 (~v84(constB156, 1)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21024, 21023, 21021])).
% 16.25/11.40 tff(21026,plain,
% 16.25/11.40 (((~v84(constB157, 1)) <=> v84(constB156, 1)) | (~v84(constB157, 1)) | v84(constB156, 1)),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21027,plain,
% 16.25/11.40 (~v84(constB157, 1)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21026, 21025, 21011])).
% 16.25/11.40 tff(21028,plain,
% 16.25/11.40 ((~(v84(constB157, 1) | v84(constB157, 2) | (~v84(constB157, 0)))) | v84(constB157, 1) | v84(constB157, 2) | (~v84(constB157, 0))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21029,plain,
% 16.25/11.40 (~(v84(constB157, 1) | v84(constB157, 2) | (~v84(constB157, 0)))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21028, 21027, 21009, 20991])).
% 16.25/11.40 tff(21030,plain,
% 16.25/11.40 ((~(v114(constB157) <=> (~(v84(constB157, 1) | v84(constB157, 2) | (~v84(constB157, 0)))))) | v114(constB157) | (v84(constB157, 1) | v84(constB157, 2) | (~v84(constB157, 0)))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21031,plain,
% 16.25/11.40 (v114(constB157)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21030, 21029, 14813])).
% 16.25/11.40 tff(21032,plain,
% 16.25/11.40 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB157)) | (~(v124(constB157, 2) | v124(constB157, 0) | (~v124(constB157, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB157)) | (~(v124(constB157, 2) | v124(constB157, 0) | (~v124(constB157, 1)))))),
% 16.25/11.40 inference(rewrite,[status(thm)],[])).
% 16.25/11.40 tff(21033,plain,
% 16.25/11.40 (((~v114(constB157)) | (~(v124(constB157, 0) | v124(constB157, 2) | (~v124(constB157, 1))))) <=> ((~v114(constB157)) | (~(v124(constB157, 2) | v124(constB157, 0) | (~v124(constB157, 1)))))),
% 16.25/11.40 inference(rewrite,[status(thm)],[])).
% 16.25/11.40 tff(21034,plain,
% 16.25/11.40 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB157)) | (~(v124(constB157, 0) | v124(constB157, 2) | (~v124(constB157, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB157)) | (~(v124(constB157, 2) | v124(constB157, 0) | (~v124(constB157, 1))))))),
% 16.25/11.40 inference(monotonicity,[status(thm)],[21033])).
% 16.25/11.40 tff(21035,plain,
% 16.25/11.40 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB157)) | (~(v124(constB157, 0) | v124(constB157, 2) | (~v124(constB157, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB157)) | (~(v124(constB157, 2) | v124(constB157, 0) | (~v124(constB157, 1)))))),
% 16.25/11.40 inference(transitivity,[status(thm)],[21034, 21032])).
% 16.25/11.40 tff(21036,plain,
% 16.25/11.40 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB157)) | (~(v124(constB157, 0) | v124(constB157, 2) | (~v124(constB157, 1)))))),
% 16.25/11.40 inference(quant_inst,[status(thm)],[])).
% 16.25/11.40 tff(21037,plain,
% 16.25/11.40 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB157)) | (~(v124(constB157, 2) | v124(constB157, 0) | (~v124(constB157, 1))))),
% 16.25/11.40 inference(modus_ponens,[status(thm)],[21036, 21035])).
% 16.25/11.40 tff(21038,plain,
% 16.25/11.40 ((~v114(constB157)) | (~(v124(constB157, 2) | v124(constB157, 0) | (~v124(constB157, 1))))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21037, 2964])).
% 16.25/11.40 tff(21039,plain,
% 16.25/11.40 (~(v124(constB157, 2) | v124(constB157, 0) | (~v124(constB157, 1)))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21038, 21031])).
% 16.25/11.40 tff(21040,plain,
% 16.25/11.40 ((v124(constB157, 2) | v124(constB157, 0) | (~v124(constB157, 1))) | (~v124(constB157, 2))),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21041,plain,
% 16.25/11.40 (~v124(constB157, 2)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21040, 21039])).
% 16.25/11.40 tff(21042,plain,
% 16.25/11.40 (((~v121(constB157, 2)) <=> v124(constB157, 2)) | (~v121(constB157, 2)) | v124(constB157, 2)),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21043,plain,
% 16.25/11.40 (~v121(constB157, 2)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21042, 21041, 14811])).
% 16.25/11.40 tff(21044,plain,
% 16.25/11.40 (((~v123(constB158, 2)) <=> v121(constB157, 2)) | (~v123(constB158, 2)) | v121(constB157, 2)),
% 16.25/11.40 inference(tautology,[status(thm)],[])).
% 16.25/11.40 tff(21045,plain,
% 16.25/11.40 (~v123(constB158, 2)),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21044, 21043, 14797])).
% 16.25/11.40 tff(21046,plain,
% 16.25/11.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB157, constB158)) | (v94(constB158) <=> (~((~v95(constB158)) | (~v104(constB158))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB157, constB158)) | (v94(constB158) <=> (~((~v95(constB158)) | (~v104(constB158))))))),
% 16.25/11.40 inference(rewrite,[status(thm)],[])).
% 16.25/11.40 tff(21047,plain,
% 16.25/11.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB157, constB158)) | (v94(constB158) <=> (~((~v95(constB158)) | (~v104(constB158))))))),
% 16.25/11.40 inference(quant_inst,[status(thm)],[])).
% 16.25/11.40 tff(21048,plain,
% 16.25/11.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB157, constB158)) | (v94(constB158) <=> (~((~v95(constB158)) | (~v104(constB158)))))),
% 16.25/11.40 inference(modus_ponens,[status(thm)],[21047, 21046])).
% 16.25/11.40 tff(21049,plain,
% 16.25/11.40 (v94(constB158) <=> (~((~v95(constB158)) | (~v104(constB158))))),
% 16.25/11.40 inference(unit_resolution,[status(thm)],[21048, 14791, 770])).
% 16.25/11.40 tff(21050,plain,
% 16.25/11.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158))))))),
% 16.25/11.41 inference(rewrite,[status(thm)],[])).
% 16.25/11.41 tff(21051,plain,
% 16.25/11.41 (((~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v96(constB158)) | (~v1(constB158)))))) <=> ((~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158))))))),
% 16.25/11.41 inference(rewrite,[status(thm)],[])).
% 16.25/11.41 tff(21052,plain,
% 16.25/11.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v96(constB158)) | (~v1(constB158))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158)))))))),
% 16.25/11.41 inference(monotonicity,[status(thm)],[21051])).
% 16.25/11.41 tff(21053,plain,
% 16.25/11.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v96(constB158)) | (~v1(constB158))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158))))))),
% 16.25/11.41 inference(transitivity,[status(thm)],[21052, 21050])).
% 16.25/11.41 tff(21054,plain,
% 16.25/11.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v96(constB158)) | (~v1(constB158))))))),
% 16.25/11.41 inference(quant_inst,[status(thm)],[])).
% 16.25/11.41 tff(21055,plain,
% 16.25/11.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158)))))),
% 16.25/11.41 inference(modus_ponens,[status(thm)],[21054, 21053])).
% 16.25/11.41 tff(21056,plain,
% 16.25/11.41 (v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158))))),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21055, 14791, 790])).
% 16.25/11.41 tff(21057,plain,
% 16.25/11.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB157, constB158)) | ((~v96(constB158)) <=> v98(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB157, constB158)) | ((~v96(constB158)) <=> v98(constB158)))),
% 16.25/11.41 inference(rewrite,[status(thm)],[])).
% 16.25/11.41 tff(21058,plain,
% 16.25/11.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB157, constB158)) | ((~v96(constB158)) <=> v98(constB158)))),
% 16.25/11.41 inference(quant_inst,[status(thm)],[])).
% 16.25/11.41 tff(21059,plain,
% 16.25/11.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB157, constB158)) | ((~v96(constB158)) <=> v98(constB158))),
% 16.25/11.41 inference(modus_ponens,[status(thm)],[21058, 21057])).
% 16.25/11.41 tff(21060,plain,
% 16.25/11.41 ((~v96(constB158)) <=> v98(constB158)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21059, 14791, 2332])).
% 16.25/11.41 tff(21061,plain,
% 16.25/11.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB157, constB158)) | (v98(constB158) <=> v1(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB157, constB158)) | (v98(constB158) <=> v1(constB157)))),
% 16.25/11.41 inference(rewrite,[status(thm)],[])).
% 16.25/11.41 tff(21062,plain,
% 16.25/11.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB157, constB158)) | (v98(constB158) <=> v1(constB157)))),
% 16.25/11.41 inference(quant_inst,[status(thm)],[])).
% 16.25/11.41 tff(21063,plain,
% 16.25/11.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB157, constB158)) | (v98(constB158) <=> v1(constB157))),
% 16.25/11.41 inference(modus_ponens,[status(thm)],[21062, 21061])).
% 16.25/11.41 tff(21064,plain,
% 16.25/11.41 (v98(constB158) <=> v1(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21063, 14791, 2346])).
% 16.25/11.41 tff(21065,plain,
% 16.25/11.41 ((~(v98(constB158) <=> v1(constB157))) | (~v98(constB158)) | v1(constB157)),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21066,plain,
% 16.25/11.41 ((~(v98(constB158) <=> v1(constB157))) | (~v98(constB158))),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21065, 14830])).
% 16.25/11.41 tff(21067,plain,
% 16.25/11.41 (~v98(constB158)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21066, 21064])).
% 16.25/11.41 tff(21068,plain,
% 16.25/11.41 ((~((~v96(constB158)) <=> v98(constB158))) | v96(constB158) | v98(constB158)),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21069,plain,
% 16.25/11.41 (v96(constB158)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21068, 21067, 21060])).
% 16.25/11.41 tff(21070,plain,
% 16.25/11.41 (v1(constB158) <=> v1(constB158)),
% 16.25/11.41 inference(rewrite,[status(thm)],[])).
% 16.25/11.41 tff(21071,axiom,(v1(constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_158')).
% 16.25/11.41 tff(21072,plain,
% 16.25/11.41 (v1(constB158)),
% 16.25/11.41 inference(modus_ponens,[status(thm)],[21071, 21070])).
% 16.25/11.41 tff(21073,plain,
% 16.25/11.41 ((~((~v1(constB158)) | (~v96(constB158)))) | (~v1(constB158)) | (~v96(constB158))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21074,plain,
% 16.25/11.41 ((~((~v1(constB158)) | (~v96(constB158)))) | (~v96(constB158))),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21073, 21072])).
% 16.25/11.41 tff(21075,plain,
% 16.25/11.41 (~((~v1(constB158)) | (~v96(constB158)))),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21074, 21069])).
% 16.25/11.41 tff(21076,plain,
% 16.25/11.41 ((~(v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158)))))) | v95(constB158) | ((~v1(constB158)) | (~v96(constB158)))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21077,plain,
% 16.25/11.41 (v95(constB158)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21076, 21075, 21056])).
% 16.25/11.41 tff(21078,plain,
% 16.25/11.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB157, constB158)) | (v104(constB158) <=> v102(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB157, constB158)) | (v104(constB158) <=> v102(constB157)))),
% 16.25/11.41 inference(rewrite,[status(thm)],[])).
% 16.25/11.41 tff(21079,plain,
% 16.25/11.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB157, constB158)) | (v104(constB158) <=> v102(constB157)))),
% 16.25/11.41 inference(quant_inst,[status(thm)],[])).
% 16.25/11.41 tff(21080,plain,
% 16.25/11.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB157, constB158)) | (v104(constB158) <=> v102(constB157))),
% 16.25/11.41 inference(modus_ponens,[status(thm)],[21079, 21078])).
% 16.25/11.41 tff(21081,plain,
% 16.25/11.41 (v104(constB158) <=> v102(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21080, 14791, 2373])).
% 16.25/11.41 tff(21082,plain,
% 16.25/11.41 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB157) <=> (v105(constB157) | v106(constB157)))),
% 16.25/11.41 inference(quant_inst,[status(thm)],[])).
% 16.25/11.41 tff(21083,plain,
% 16.25/11.41 (v102(constB157) <=> (v105(constB157) | v106(constB157))),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21082, 2384])).
% 16.25/11.41 tff(21084,plain,
% 16.25/11.41 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB157) <=> (~((~v107(constB157)) | (~v120(constB157)))))),
% 16.25/11.41 inference(quant_inst,[status(thm)],[])).
% 16.25/11.41 tff(21085,plain,
% 16.25/11.41 (v106(constB157) <=> (~((~v107(constB157)) | (~v120(constB157))))),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21084, 2396])).
% 16.25/11.41 tff(21086,plain,
% 16.25/11.41 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB157) <=> (v108(constB157) | v119(constB157)))),
% 16.25/11.41 inference(quant_inst,[status(thm)],[])).
% 16.25/11.41 tff(21087,plain,
% 16.25/11.41 (v107(constB157) <=> (v108(constB157) | v119(constB157))),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21086, 2405])).
% 16.25/11.41 tff(21088,plain,
% 16.25/11.41 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB157) <=> (v109(constB157) | v118(constB157)))),
% 16.25/11.41 inference(quant_inst,[status(thm)],[])).
% 16.25/11.41 tff(21089,plain,
% 16.25/11.41 (v108(constB157) <=> (v109(constB157) | v118(constB157))),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21088, 2414])).
% 16.25/11.41 tff(21090,plain,
% 16.25/11.41 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB157) <=> (v110(constB157) | v117(constB157)))),
% 16.25/11.41 inference(quant_inst,[status(thm)],[])).
% 16.25/11.41 tff(21091,plain,
% 16.25/11.41 (v109(constB157) <=> (v110(constB157) | v117(constB157))),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21090, 2423])).
% 16.25/11.41 tff(21092,plain,
% 16.25/11.41 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB157) <=> (v111(constB157) | v116(constB157)))),
% 16.25/11.41 inference(quant_inst,[status(thm)],[])).
% 16.25/11.41 tff(21093,plain,
% 16.25/11.41 (v110(constB157) <=> (v111(constB157) | v116(constB157))),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21092, 2432])).
% 16.25/11.41 tff(21094,plain,
% 16.25/11.41 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB157) <=> (v112(constB157) | v115(constB157)))),
% 16.25/11.41 inference(quant_inst,[status(thm)],[])).
% 16.25/11.41 tff(21095,plain,
% 16.25/11.41 (v111(constB157) <=> (v112(constB157) | v115(constB157))),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21094, 2441])).
% 16.25/11.41 tff(21096,plain,
% 16.25/11.41 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB157) <=> (v113(constB157) | v114(constB157)))),
% 16.25/11.41 inference(quant_inst,[status(thm)],[])).
% 16.25/11.41 tff(21097,plain,
% 16.25/11.41 (v112(constB157) <=> (v113(constB157) | v114(constB157))),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21096, 2450])).
% 16.25/11.41 tff(21098,plain,
% 16.25/11.41 ((v113(constB157) | v114(constB157)) | (~v114(constB157))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21099,plain,
% 16.25/11.41 (v113(constB157) | v114(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21098, 21031])).
% 16.25/11.41 tff(21100,plain,
% 16.25/11.41 ((~(v112(constB157) <=> (v113(constB157) | v114(constB157)))) | v112(constB157) | (~(v113(constB157) | v114(constB157)))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21101,plain,
% 16.25/11.41 (v112(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21100, 21099, 21097])).
% 16.25/11.41 tff(21102,plain,
% 16.25/11.41 ((v112(constB157) | v115(constB157)) | (~v112(constB157))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21103,plain,
% 16.25/11.41 (v112(constB157) | v115(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21102, 21101])).
% 16.25/11.41 tff(21104,plain,
% 16.25/11.41 ((~(v111(constB157) <=> (v112(constB157) | v115(constB157)))) | v111(constB157) | (~(v112(constB157) | v115(constB157)))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21105,plain,
% 16.25/11.41 (v111(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21104, 21103, 21095])).
% 16.25/11.41 tff(21106,plain,
% 16.25/11.41 ((v111(constB157) | v116(constB157)) | (~v111(constB157))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21107,plain,
% 16.25/11.41 (v111(constB157) | v116(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21106, 21105])).
% 16.25/11.41 tff(21108,plain,
% 16.25/11.41 ((~(v110(constB157) <=> (v111(constB157) | v116(constB157)))) | v110(constB157) | (~(v111(constB157) | v116(constB157)))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21109,plain,
% 16.25/11.41 (v110(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21108, 21107, 21093])).
% 16.25/11.41 tff(21110,plain,
% 16.25/11.41 ((v110(constB157) | v117(constB157)) | (~v110(constB157))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21111,plain,
% 16.25/11.41 (v110(constB157) | v117(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21110, 21109])).
% 16.25/11.41 tff(21112,plain,
% 16.25/11.41 ((~(v109(constB157) <=> (v110(constB157) | v117(constB157)))) | v109(constB157) | (~(v110(constB157) | v117(constB157)))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21113,plain,
% 16.25/11.41 (v109(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21112, 21111, 21091])).
% 16.25/11.41 tff(21114,plain,
% 16.25/11.41 ((v109(constB157) | v118(constB157)) | (~v109(constB157))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21115,plain,
% 16.25/11.41 (v109(constB157) | v118(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21114, 21113])).
% 16.25/11.41 tff(21116,plain,
% 16.25/11.41 ((~(v108(constB157) <=> (v109(constB157) | v118(constB157)))) | v108(constB157) | (~(v109(constB157) | v118(constB157)))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21117,plain,
% 16.25/11.41 (v108(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21116, 21115, 21089])).
% 16.25/11.41 tff(21118,plain,
% 16.25/11.41 ((v108(constB157) | v119(constB157)) | (~v108(constB157))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21119,plain,
% 16.25/11.41 (v108(constB157) | v119(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21118, 21117])).
% 16.25/11.41 tff(21120,plain,
% 16.25/11.41 ((~(v107(constB157) <=> (v108(constB157) | v119(constB157)))) | v107(constB157) | (~(v108(constB157) | v119(constB157)))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21121,plain,
% 16.25/11.41 (v107(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21120, 21119, 21087])).
% 16.25/11.41 tff(21122,plain,
% 16.25/11.41 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB157)) <=> v105(constB157))),
% 16.25/11.41 inference(quant_inst,[status(thm)],[])).
% 16.25/11.41 tff(21123,plain,
% 16.25/11.41 ((~v120(constB157)) <=> v105(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21122, 2484])).
% 16.25/11.41 tff(21124,plain,
% 16.25/11.41 ((~((~v120(constB157)) <=> v105(constB157))) | v120(constB157) | v105(constB157)),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21125,plain,
% 16.25/11.41 ((~((~v120(constB157)) <=> v105(constB157))) | v120(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21124, 14804])).
% 16.25/11.41 tff(21126,plain,
% 16.25/11.41 (v120(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21125, 21123])).
% 16.25/11.41 tff(21127,plain,
% 16.25/11.41 ((~((~v107(constB157)) | (~v120(constB157)))) | (~v107(constB157)) | (~v120(constB157))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21128,plain,
% 16.25/11.41 ((~((~v107(constB157)) | (~v120(constB157)))) | (~v107(constB157))),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21127, 21126])).
% 16.25/11.41 tff(21129,plain,
% 16.25/11.41 (~((~v107(constB157)) | (~v120(constB157)))),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21128, 21121])).
% 16.25/11.41 tff(21130,plain,
% 16.25/11.41 ((~(v106(constB157) <=> (~((~v107(constB157)) | (~v120(constB157)))))) | v106(constB157) | ((~v107(constB157)) | (~v120(constB157)))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21131,plain,
% 16.25/11.41 (v106(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21130, 21129, 21085])).
% 16.25/11.41 tff(21132,plain,
% 16.25/11.41 ((v105(constB157) | v106(constB157)) | (~v106(constB157))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21133,plain,
% 16.25/11.41 (v105(constB157) | v106(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21132, 21131])).
% 16.25/11.41 tff(21134,plain,
% 16.25/11.41 ((~(v102(constB157) <=> (v105(constB157) | v106(constB157)))) | v102(constB157) | (~(v105(constB157) | v106(constB157)))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21135,plain,
% 16.25/11.41 (v102(constB157)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21134, 21133, 21083])).
% 16.25/11.41 tff(21136,plain,
% 16.25/11.41 ((~(v104(constB158) <=> v102(constB157))) | v104(constB158) | (~v102(constB157))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21137,plain,
% 16.25/11.41 (v104(constB158)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21136, 21135, 21081])).
% 16.25/11.41 tff(21138,plain,
% 16.25/11.41 ((~((~v95(constB158)) | (~v104(constB158)))) | (~v95(constB158)) | (~v104(constB158))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21139,plain,
% 16.25/11.41 (~((~v95(constB158)) | (~v104(constB158)))),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21138, 21137, 21077])).
% 16.25/11.41 tff(21140,plain,
% 16.25/11.41 ((~(v94(constB158) <=> (~((~v95(constB158)) | (~v104(constB158)))))) | v94(constB158) | ((~v95(constB158)) | (~v104(constB158)))),
% 16.25/11.41 inference(tautology,[status(thm)],[])).
% 16.25/11.41 tff(21141,plain,
% 16.25/11.41 (v94(constB158)),
% 16.25/11.41 inference(unit_resolution,[status(thm)],[21140, 21139, 21049])).
% 16.25/11.41 tff(21142,plain,
% 16.25/11.41 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB158)) | (~(((~v84(constB158, 0)) <=> v123(constB158, 0)) | ((~v84(constB158, 2)) <=> v123(constB158, 2)) | ((~v84(constB158, 1)) <=> v123(constB158, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB158)) | (~(((~v84(constB158, 0)) <=> v123(constB158, 0)) | ((~v84(constB158, 2)) <=> v123(constB158, 2)) | ((~v84(constB158, 1)) <=> v123(constB158, 1)))))),
% 16.25/11.42 inference(rewrite,[status(thm)],[])).
% 16.25/11.42 tff(21143,plain,
% 16.25/11.42 (((~v94(constB158)) | (~(((~v84(constB158, 2)) <=> v123(constB158, 2)) | ((~v84(constB158, 1)) <=> v123(constB158, 1)) | ((~v84(constB158, 0)) <=> v123(constB158, 0))))) <=> ((~v94(constB158)) | (~(((~v84(constB158, 0)) <=> v123(constB158, 0)) | ((~v84(constB158, 2)) <=> v123(constB158, 2)) | ((~v84(constB158, 1)) <=> v123(constB158, 1)))))),
% 16.25/11.42 inference(rewrite,[status(thm)],[])).
% 16.25/11.42 tff(21144,plain,
% 16.25/11.42 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB158)) | (~(((~v84(constB158, 2)) <=> v123(constB158, 2)) | ((~v84(constB158, 1)) <=> v123(constB158, 1)) | ((~v84(constB158, 0)) <=> v123(constB158, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB158)) | (~(((~v84(constB158, 0)) <=> v123(constB158, 0)) | ((~v84(constB158, 2)) <=> v123(constB158, 2)) | ((~v84(constB158, 1)) <=> v123(constB158, 1))))))),
% 16.25/11.42 inference(monotonicity,[status(thm)],[21143])).
% 16.25/11.42 tff(21145,plain,
% 16.25/11.42 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB158)) | (~(((~v84(constB158, 2)) <=> v123(constB158, 2)) | ((~v84(constB158, 1)) <=> v123(constB158, 1)) | ((~v84(constB158, 0)) <=> v123(constB158, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB158)) | (~(((~v84(constB158, 0)) <=> v123(constB158, 0)) | ((~v84(constB158, 2)) <=> v123(constB158, 2)) | ((~v84(constB158, 1)) <=> v123(constB158, 1)))))),
% 16.25/11.42 inference(transitivity,[status(thm)],[21144, 21142])).
% 16.25/11.42 tff(21146,plain,
% 16.25/11.42 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB158)) | (~(((~v84(constB158, 2)) <=> v123(constB158, 2)) | ((~v84(constB158, 1)) <=> v123(constB158, 1)) | ((~v84(constB158, 0)) <=> v123(constB158, 0)))))),
% 16.25/11.42 inference(quant_inst,[status(thm)],[])).
% 16.25/11.42 tff(21147,plain,
% 16.25/11.42 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB158)) | (~(((~v84(constB158, 0)) <=> v123(constB158, 0)) | ((~v84(constB158, 2)) <=> v123(constB158, 2)) | ((~v84(constB158, 1)) <=> v123(constB158, 1))))),
% 16.25/11.42 inference(modus_ponens,[status(thm)],[21146, 21145])).
% 16.25/11.42 tff(21148,plain,
% 16.25/11.42 ((~v94(constB158)) | (~(((~v84(constB158, 0)) <=> v123(constB158, 0)) | ((~v84(constB158, 2)) <=> v123(constB158, 2)) | ((~v84(constB158, 1)) <=> v123(constB158, 1))))),
% 16.25/11.42 inference(unit_resolution,[status(thm)],[21147, 2517])).
% 16.25/11.42 tff(21149,plain,
% 16.25/11.42 (~(((~v84(constB158, 0)) <=> v123(constB158, 0)) | ((~v84(constB158, 2)) <=> v123(constB158, 2)) | ((~v84(constB158, 1)) <=> v123(constB158, 1)))),
% 16.25/11.42 inference(unit_resolution,[status(thm)],[21148, 21141])).
% 16.25/11.42 tff(21150,plain,
% 16.25/11.42 ((((~v84(constB158, 0)) <=> v123(constB158, 0)) | ((~v84(constB158, 2)) <=> v123(constB158, 2)) | ((~v84(constB158, 1)) <=> v123(constB158, 1))) | (~((~v84(constB158, 2)) <=> v123(constB158, 2)))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21151,plain,
% 16.28/11.42 (~((~v84(constB158, 2)) <=> v123(constB158, 2))),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21150, 21149])).
% 16.28/11.42 tff(21152,plain,
% 16.28/11.42 (((~v84(constB158, 2)) <=> v123(constB158, 2)) | (~v84(constB158, 2)) | v123(constB158, 2)),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21153,plain,
% 16.28/11.42 (~v84(constB158, 2)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21152, 21151, 21045])).
% 16.28/11.42 tff(21154,plain,
% 16.28/11.42 (((~v84(constB159, 2)) <=> v84(constB158, 2)) | (~v84(constB159, 2)) | v84(constB158, 2)),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21155,plain,
% 16.28/11.42 (~v84(constB159, 2)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21154, 21153, 14788])).
% 16.28/11.42 tff(21156,plain,
% 16.28/11.42 ((((~v84(constB159, 1)) <=> v84(constB158, 1)) | ((~v84(constB159, 2)) <=> v84(constB158, 2)) | ((~v84(constB159, 0)) <=> v84(constB158, 0))) | (~((~v84(constB159, 0)) <=> v84(constB158, 0)))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21157,plain,
% 16.28/11.42 (~((~v84(constB159, 0)) <=> v84(constB158, 0))),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21156, 14786])).
% 16.28/11.42 tff(21158,plain,
% 16.28/11.42 ((((~v123(constB158, 2)) <=> v121(constB157, 2)) | ((~v123(constB158, 1)) <=> v121(constB157, 1)) | ((~v123(constB158, 0)) <=> v121(constB157, 0))) | (~((~v123(constB158, 0)) <=> v121(constB157, 0)))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21159,plain,
% 16.28/11.42 (~((~v123(constB158, 0)) <=> v121(constB157, 0))),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21158, 14795])).
% 16.28/11.42 tff(21160,plain,
% 16.28/11.42 ((((~v121(constB157, 2)) <=> v124(constB157, 2)) | ((~v121(constB157, 0)) <=> v124(constB157, 0)) | ((~v121(constB157, 1)) <=> v124(constB157, 1))) | (~((~v121(constB157, 0)) <=> v124(constB157, 0)))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21161,plain,
% 16.28/11.42 (~((~v121(constB157, 0)) <=> v124(constB157, 0))),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21160, 14809])).
% 16.28/11.42 tff(21162,plain,
% 16.28/11.42 ((v124(constB157, 2) | v124(constB157, 0) | (~v124(constB157, 1))) | (~v124(constB157, 0))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21163,plain,
% 16.28/11.42 (~v124(constB157, 0)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21162, 21039])).
% 16.28/11.42 tff(21164,plain,
% 16.28/11.42 (((~v121(constB157, 0)) <=> v124(constB157, 0)) | (~v121(constB157, 0)) | v124(constB157, 0)),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21165,plain,
% 16.28/11.42 (~v121(constB157, 0)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21164, 21163, 21161])).
% 16.28/11.42 tff(21166,plain,
% 16.28/11.42 (((~v123(constB158, 0)) <=> v121(constB157, 0)) | (~v123(constB158, 0)) | v121(constB157, 0)),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21167,plain,
% 16.28/11.42 (~v123(constB158, 0)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21166, 21165, 21159])).
% 16.28/11.42 tff(21168,plain,
% 16.28/11.42 ((((~v84(constB158, 0)) <=> v123(constB158, 0)) | ((~v84(constB158, 2)) <=> v123(constB158, 2)) | ((~v84(constB158, 1)) <=> v123(constB158, 1))) | (~((~v84(constB158, 0)) <=> v123(constB158, 0)))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21169,plain,
% 16.28/11.42 (~((~v84(constB158, 0)) <=> v123(constB158, 0))),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21168, 21149])).
% 16.28/11.42 tff(21170,plain,
% 16.28/11.42 (((~v84(constB158, 0)) <=> v123(constB158, 0)) | (~v84(constB158, 0)) | v123(constB158, 0)),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21171,plain,
% 16.28/11.42 (~v84(constB158, 0)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21170, 21169, 21167])).
% 16.28/11.42 tff(21172,plain,
% 16.28/11.42 (((~v84(constB159, 0)) <=> v84(constB158, 0)) | (~v84(constB159, 0)) | v84(constB158, 0)),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21173,plain,
% 16.28/11.42 (~v84(constB159, 0)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21172, 21171, 21157])).
% 16.28/11.42 tff(21174,plain,
% 16.28/11.42 ((((~v84(constB159, 1)) <=> v84(constB158, 1)) | ((~v84(constB159, 2)) <=> v84(constB158, 2)) | ((~v84(constB159, 0)) <=> v84(constB158, 0))) | (~((~v84(constB159, 1)) <=> v84(constB158, 1)))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21175,plain,
% 16.28/11.42 (~((~v84(constB159, 1)) <=> v84(constB158, 1))),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21174, 14786])).
% 16.28/11.42 tff(21176,plain,
% 16.28/11.42 ((((~v123(constB158, 2)) <=> v121(constB157, 2)) | ((~v123(constB158, 1)) <=> v121(constB157, 1)) | ((~v123(constB158, 0)) <=> v121(constB157, 0))) | (~((~v123(constB158, 1)) <=> v121(constB157, 1)))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21177,plain,
% 16.28/11.42 (~((~v123(constB158, 1)) <=> v121(constB157, 1))),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21176, 14795])).
% 16.28/11.42 tff(21178,plain,
% 16.28/11.42 ((((~v121(constB157, 2)) <=> v124(constB157, 2)) | ((~v121(constB157, 0)) <=> v124(constB157, 0)) | ((~v121(constB157, 1)) <=> v124(constB157, 1))) | (~((~v121(constB157, 1)) <=> v124(constB157, 1)))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21179,plain,
% 16.28/11.42 (~((~v121(constB157, 1)) <=> v124(constB157, 1))),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21178, 14809])).
% 16.28/11.42 tff(21180,plain,
% 16.28/11.42 ((v124(constB157, 2) | v124(constB157, 0) | (~v124(constB157, 1))) | v124(constB157, 1)),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21181,plain,
% 16.28/11.42 (v124(constB157, 1)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21180, 21039])).
% 16.28/11.42 tff(21182,plain,
% 16.28/11.42 (((~v121(constB157, 1)) <=> v124(constB157, 1)) | v121(constB157, 1) | (~v124(constB157, 1))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21183,plain,
% 16.28/11.42 (v121(constB157, 1)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21182, 21181, 21179])).
% 16.28/11.42 tff(21184,plain,
% 16.28/11.42 (((~v123(constB158, 1)) <=> v121(constB157, 1)) | v123(constB158, 1) | (~v121(constB157, 1))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21185,plain,
% 16.28/11.42 (v123(constB158, 1)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21184, 21183, 21177])).
% 16.28/11.42 tff(21186,plain,
% 16.28/11.42 ((((~v84(constB158, 0)) <=> v123(constB158, 0)) | ((~v84(constB158, 2)) <=> v123(constB158, 2)) | ((~v84(constB158, 1)) <=> v123(constB158, 1))) | (~((~v84(constB158, 1)) <=> v123(constB158, 1)))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21187,plain,
% 16.28/11.42 (~((~v84(constB158, 1)) <=> v123(constB158, 1))),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21186, 21149])).
% 16.28/11.42 tff(21188,plain,
% 16.28/11.42 (((~v84(constB158, 1)) <=> v123(constB158, 1)) | v84(constB158, 1) | (~v123(constB158, 1))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21189,plain,
% 16.28/11.42 (v84(constB158, 1)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21188, 21187, 21185])).
% 16.28/11.42 tff(21190,plain,
% 16.28/11.42 (((~v84(constB159, 1)) <=> v84(constB158, 1)) | v84(constB159, 1) | (~v84(constB158, 1))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21191,plain,
% 16.28/11.42 (v84(constB159, 1)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21190, 21189, 21175])).
% 16.28/11.42 tff(21192,plain,
% 16.28/11.42 ((~(v84(constB159, 2) | v84(constB159, 0) | (~v84(constB159, 1)))) | v84(constB159, 2) | v84(constB159, 0) | (~v84(constB159, 1))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21193,plain,
% 16.28/11.42 (~(v84(constB159, 2) | v84(constB159, 0) | (~v84(constB159, 1)))),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21192, 21191, 21173, 21155])).
% 16.28/11.42 tff(21194,plain,
% 16.28/11.42 ((~(v115(constB159) <=> (~(v84(constB159, 2) | v84(constB159, 0) | (~v84(constB159, 1)))))) | v115(constB159) | (v84(constB159, 2) | v84(constB159, 0) | (~v84(constB159, 1)))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21195,plain,
% 16.28/11.42 (v115(constB159)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21194, 21193, 14752])).
% 16.28/11.42 tff(21196,plain,
% 16.28/11.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB159)) | (~(v124(constB159, 2) | (~v124(constB159, 0)) | (~v124(constB159, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB159)) | (~(v124(constB159, 2) | (~v124(constB159, 0)) | (~v124(constB159, 1)))))),
% 16.28/11.42 inference(rewrite,[status(thm)],[])).
% 16.28/11.42 tff(21197,plain,
% 16.28/11.42 (((~v115(constB159)) | (~(v124(constB159, 2) | (~v124(constB159, 1)) | (~v124(constB159, 0))))) <=> ((~v115(constB159)) | (~(v124(constB159, 2) | (~v124(constB159, 0)) | (~v124(constB159, 1)))))),
% 16.28/11.42 inference(rewrite,[status(thm)],[])).
% 16.28/11.42 tff(21198,plain,
% 16.28/11.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB159)) | (~(v124(constB159, 2) | (~v124(constB159, 1)) | (~v124(constB159, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB159)) | (~(v124(constB159, 2) | (~v124(constB159, 0)) | (~v124(constB159, 1))))))),
% 16.28/11.42 inference(monotonicity,[status(thm)],[21197])).
% 16.28/11.42 tff(21199,plain,
% 16.28/11.42 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB159)) | (~(v124(constB159, 2) | (~v124(constB159, 1)) | (~v124(constB159, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB159)) | (~(v124(constB159, 2) | (~v124(constB159, 0)) | (~v124(constB159, 1)))))),
% 16.28/11.42 inference(transitivity,[status(thm)],[21198, 21196])).
% 16.28/11.42 tff(21200,plain,
% 16.28/11.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB159)) | (~(v124(constB159, 2) | (~v124(constB159, 1)) | (~v124(constB159, 0)))))),
% 16.28/11.42 inference(quant_inst,[status(thm)],[])).
% 16.28/11.42 tff(21201,plain,
% 16.28/11.42 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB159)) | (~(v124(constB159, 2) | (~v124(constB159, 0)) | (~v124(constB159, 1))))),
% 16.28/11.42 inference(modus_ponens,[status(thm)],[21200, 21199])).
% 16.28/11.42 tff(21202,plain,
% 16.28/11.42 ((~v115(constB159)) | (~(v124(constB159, 2) | (~v124(constB159, 0)) | (~v124(constB159, 1))))),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21201, 3138])).
% 16.28/11.42 tff(21203,plain,
% 16.28/11.42 (~(v124(constB159, 2) | (~v124(constB159, 0)) | (~v124(constB159, 1)))),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21202, 21195])).
% 16.28/11.42 tff(21204,plain,
% 16.28/11.42 ((v124(constB159, 2) | (~v124(constB159, 0)) | (~v124(constB159, 1))) | v124(constB159, 1)),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21205,plain,
% 16.28/11.42 (v124(constB159, 1)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21204, 21203])).
% 16.28/11.42 tff(21206,plain,
% 16.28/11.42 (((~v121(constB159, 1)) <=> v124(constB159, 1)) | v121(constB159, 1) | (~v124(constB159, 1))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21207,plain,
% 16.28/11.42 (v121(constB159, 1)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21206, 21205, 14745])).
% 16.28/11.42 tff(21208,plain,
% 16.28/11.42 (((~v123(constB160, 1)) <=> v121(constB159, 1)) | v123(constB160, 1) | (~v121(constB159, 1))),
% 16.28/11.42 inference(tautology,[status(thm)],[])).
% 16.28/11.42 tff(21209,plain,
% 16.28/11.42 (v123(constB160, 1)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21208, 21207, 14731])).
% 16.28/11.42 tff(21210,plain,
% 16.28/11.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB159, constB160)) | (v94(constB160) <=> (~((~v95(constB160)) | (~v104(constB160))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB159, constB160)) | (v94(constB160) <=> (~((~v95(constB160)) | (~v104(constB160))))))),
% 16.28/11.42 inference(rewrite,[status(thm)],[])).
% 16.28/11.42 tff(21211,plain,
% 16.28/11.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB159, constB160)) | (v94(constB160) <=> (~((~v95(constB160)) | (~v104(constB160))))))),
% 16.28/11.42 inference(quant_inst,[status(thm)],[])).
% 16.28/11.42 tff(21212,plain,
% 16.28/11.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB159, constB160)) | (v94(constB160) <=> (~((~v95(constB160)) | (~v104(constB160)))))),
% 16.28/11.42 inference(modus_ponens,[status(thm)],[21211, 21210])).
% 16.28/11.42 tff(21213,plain,
% 16.28/11.42 (v94(constB160) <=> (~((~v95(constB160)) | (~v104(constB160))))),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21212, 14725, 770])).
% 16.28/11.42 tff(21214,plain,
% 16.28/11.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160))))))),
% 16.28/11.42 inference(rewrite,[status(thm)],[])).
% 16.28/11.42 tff(21215,plain,
% 16.28/11.42 (((~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v96(constB160)) | (~v1(constB160)))))) <=> ((~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160))))))),
% 16.28/11.42 inference(rewrite,[status(thm)],[])).
% 16.28/11.42 tff(21216,plain,
% 16.28/11.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v96(constB160)) | (~v1(constB160))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160)))))))),
% 16.28/11.42 inference(monotonicity,[status(thm)],[21215])).
% 16.28/11.42 tff(21217,plain,
% 16.28/11.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v96(constB160)) | (~v1(constB160))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160))))))),
% 16.28/11.42 inference(transitivity,[status(thm)],[21216, 21214])).
% 16.28/11.42 tff(21218,plain,
% 16.28/11.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v96(constB160)) | (~v1(constB160))))))),
% 16.28/11.42 inference(quant_inst,[status(thm)],[])).
% 16.28/11.42 tff(21219,plain,
% 16.28/11.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160)))))),
% 16.28/11.42 inference(modus_ponens,[status(thm)],[21218, 21217])).
% 16.28/11.42 tff(21220,plain,
% 16.28/11.42 (v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160))))),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21219, 14725, 790])).
% 16.28/11.42 tff(21221,plain,
% 16.28/11.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB159, constB160)) | ((~v96(constB160)) <=> v98(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB159, constB160)) | ((~v96(constB160)) <=> v98(constB160)))),
% 16.28/11.42 inference(rewrite,[status(thm)],[])).
% 16.28/11.42 tff(21222,plain,
% 16.28/11.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB159, constB160)) | ((~v96(constB160)) <=> v98(constB160)))),
% 16.28/11.42 inference(quant_inst,[status(thm)],[])).
% 16.28/11.42 tff(21223,plain,
% 16.28/11.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB159, constB160)) | ((~v96(constB160)) <=> v98(constB160))),
% 16.28/11.42 inference(modus_ponens,[status(thm)],[21222, 21221])).
% 16.28/11.42 tff(21224,plain,
% 16.28/11.42 ((~v96(constB160)) <=> v98(constB160)),
% 16.28/11.42 inference(unit_resolution,[status(thm)],[21223, 14725, 2332])).
% 16.28/11.42 tff(21225,plain,
% 16.28/11.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB159, constB160)) | (v98(constB160) <=> v1(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB159, constB160)) | (v98(constB160) <=> v1(constB159)))),
% 16.28/11.43 inference(rewrite,[status(thm)],[])).
% 16.28/11.43 tff(21226,plain,
% 16.28/11.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB159, constB160)) | (v98(constB160) <=> v1(constB159)))),
% 16.28/11.43 inference(quant_inst,[status(thm)],[])).
% 16.28/11.43 tff(21227,plain,
% 16.28/11.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB159, constB160)) | (v98(constB160) <=> v1(constB159))),
% 16.28/11.43 inference(modus_ponens,[status(thm)],[21226, 21225])).
% 16.28/11.43 tff(21228,plain,
% 16.28/11.43 (v98(constB160) <=> v1(constB159)),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21227, 14725, 2346])).
% 16.28/11.43 tff(21229,plain,
% 16.28/11.43 ((~(v98(constB160) <=> v1(constB159))) | (~v98(constB160)) | v1(constB159)),
% 16.28/11.43 inference(tautology,[status(thm)],[])).
% 16.28/11.43 tff(21230,plain,
% 16.28/11.43 ((~(v98(constB160) <=> v1(constB159))) | (~v98(constB160))),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21229, 14769])).
% 16.28/11.43 tff(21231,plain,
% 16.28/11.43 (~v98(constB160)),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21230, 21228])).
% 16.28/11.43 tff(21232,plain,
% 16.28/11.43 ((~((~v96(constB160)) <=> v98(constB160))) | v96(constB160) | v98(constB160)),
% 16.28/11.43 inference(tautology,[status(thm)],[])).
% 16.28/11.43 tff(21233,plain,
% 16.28/11.43 (v96(constB160)),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21232, 21231, 21224])).
% 16.28/11.43 tff(21234,plain,
% 16.28/11.43 (v1(constB160) <=> v1(constB160)),
% 16.28/11.43 inference(rewrite,[status(thm)],[])).
% 16.28/11.43 tff(21235,axiom,(v1(constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_160')).
% 16.28/11.43 tff(21236,plain,
% 16.28/11.43 (v1(constB160)),
% 16.28/11.43 inference(modus_ponens,[status(thm)],[21235, 21234])).
% 16.28/11.43 tff(21237,plain,
% 16.28/11.43 ((~((~v1(constB160)) | (~v96(constB160)))) | (~v1(constB160)) | (~v96(constB160))),
% 16.28/11.43 inference(tautology,[status(thm)],[])).
% 16.28/11.43 tff(21238,plain,
% 16.28/11.43 ((~((~v1(constB160)) | (~v96(constB160)))) | (~v96(constB160))),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21237, 21236])).
% 16.28/11.43 tff(21239,plain,
% 16.28/11.43 (~((~v1(constB160)) | (~v96(constB160)))),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21238, 21233])).
% 16.28/11.43 tff(21240,plain,
% 16.28/11.43 ((~(v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160)))))) | v95(constB160) | ((~v1(constB160)) | (~v96(constB160)))),
% 16.28/11.43 inference(tautology,[status(thm)],[])).
% 16.28/11.43 tff(21241,plain,
% 16.28/11.43 (v95(constB160)),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21240, 21239, 21220])).
% 16.28/11.43 tff(21242,plain,
% 16.28/11.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB159, constB160)) | (v104(constB160) <=> v102(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB159, constB160)) | (v104(constB160) <=> v102(constB159)))),
% 16.28/11.43 inference(rewrite,[status(thm)],[])).
% 16.28/11.43 tff(21243,plain,
% 16.28/11.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB159, constB160)) | (v104(constB160) <=> v102(constB159)))),
% 16.28/11.43 inference(quant_inst,[status(thm)],[])).
% 16.28/11.43 tff(21244,plain,
% 16.28/11.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB159, constB160)) | (v104(constB160) <=> v102(constB159))),
% 16.28/11.43 inference(modus_ponens,[status(thm)],[21243, 21242])).
% 16.28/11.43 tff(21245,plain,
% 16.28/11.43 (v104(constB160) <=> v102(constB159)),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21244, 14725, 2373])).
% 16.28/11.43 tff(21246,plain,
% 16.28/11.43 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB159) <=> (v105(constB159) | v106(constB159)))),
% 16.28/11.43 inference(quant_inst,[status(thm)],[])).
% 16.28/11.43 tff(21247,plain,
% 16.28/11.43 (v102(constB159) <=> (v105(constB159) | v106(constB159))),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21246, 2384])).
% 16.28/11.43 tff(21248,plain,
% 16.28/11.43 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB159) <=> (~((~v107(constB159)) | (~v120(constB159)))))),
% 16.28/11.43 inference(quant_inst,[status(thm)],[])).
% 16.28/11.43 tff(21249,plain,
% 16.28/11.43 (v106(constB159) <=> (~((~v107(constB159)) | (~v120(constB159))))),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21248, 2396])).
% 16.28/11.43 tff(21250,plain,
% 16.28/11.43 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB159) <=> (v108(constB159) | v119(constB159)))),
% 16.28/11.43 inference(quant_inst,[status(thm)],[])).
% 16.28/11.43 tff(21251,plain,
% 16.28/11.43 (v107(constB159) <=> (v108(constB159) | v119(constB159))),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21250, 2405])).
% 16.28/11.43 tff(21252,plain,
% 16.28/11.43 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB159) <=> (v109(constB159) | v118(constB159)))),
% 16.28/11.43 inference(quant_inst,[status(thm)],[])).
% 16.28/11.43 tff(21253,plain,
% 16.28/11.43 (v108(constB159) <=> (v109(constB159) | v118(constB159))),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21252, 2414])).
% 16.28/11.43 tff(21254,plain,
% 16.28/11.43 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB159) <=> (v110(constB159) | v117(constB159)))),
% 16.28/11.43 inference(quant_inst,[status(thm)],[])).
% 16.28/11.43 tff(21255,plain,
% 16.28/11.43 (v109(constB159) <=> (v110(constB159) | v117(constB159))),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21254, 2423])).
% 16.28/11.43 tff(21256,plain,
% 16.28/11.43 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB159) <=> (v111(constB159) | v116(constB159)))),
% 16.28/11.43 inference(quant_inst,[status(thm)],[])).
% 16.28/11.43 tff(21257,plain,
% 16.28/11.43 (v110(constB159) <=> (v111(constB159) | v116(constB159))),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21256, 2432])).
% 16.28/11.43 tff(21258,plain,
% 16.28/11.43 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB159) <=> (v112(constB159) | v115(constB159)))),
% 16.28/11.43 inference(quant_inst,[status(thm)],[])).
% 16.28/11.43 tff(21259,plain,
% 16.28/11.43 (v111(constB159) <=> (v112(constB159) | v115(constB159))),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21258, 2441])).
% 16.28/11.43 tff(21260,plain,
% 16.28/11.43 ((v112(constB159) | v115(constB159)) | (~v115(constB159))),
% 16.28/11.43 inference(tautology,[status(thm)],[])).
% 16.28/11.43 tff(21261,plain,
% 16.28/11.43 (v112(constB159) | v115(constB159)),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21260, 21195])).
% 16.28/11.43 tff(21262,plain,
% 16.28/11.43 ((~(v111(constB159) <=> (v112(constB159) | v115(constB159)))) | v111(constB159) | (~(v112(constB159) | v115(constB159)))),
% 16.28/11.43 inference(tautology,[status(thm)],[])).
% 16.28/11.43 tff(21263,plain,
% 16.28/11.43 (v111(constB159)),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21262, 21261, 21259])).
% 16.28/11.43 tff(21264,plain,
% 16.28/11.43 ((v111(constB159) | v116(constB159)) | (~v111(constB159))),
% 16.28/11.43 inference(tautology,[status(thm)],[])).
% 16.28/11.43 tff(21265,plain,
% 16.28/11.43 (v111(constB159) | v116(constB159)),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21264, 21263])).
% 16.28/11.43 tff(21266,plain,
% 16.28/11.43 ((~(v110(constB159) <=> (v111(constB159) | v116(constB159)))) | v110(constB159) | (~(v111(constB159) | v116(constB159)))),
% 16.28/11.43 inference(tautology,[status(thm)],[])).
% 16.28/11.43 tff(21267,plain,
% 16.28/11.43 (v110(constB159)),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21266, 21265, 21257])).
% 16.28/11.43 tff(21268,plain,
% 16.28/11.43 ((v110(constB159) | v117(constB159)) | (~v110(constB159))),
% 16.28/11.43 inference(tautology,[status(thm)],[])).
% 16.28/11.43 tff(21269,plain,
% 16.28/11.43 (v110(constB159) | v117(constB159)),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21268, 21267])).
% 16.28/11.43 tff(21270,plain,
% 16.28/11.43 ((~(v109(constB159) <=> (v110(constB159) | v117(constB159)))) | v109(constB159) | (~(v110(constB159) | v117(constB159)))),
% 16.28/11.43 inference(tautology,[status(thm)],[])).
% 16.28/11.43 tff(21271,plain,
% 16.28/11.43 (v109(constB159)),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21270, 21269, 21255])).
% 16.28/11.43 tff(21272,plain,
% 16.28/11.43 ((v109(constB159) | v118(constB159)) | (~v109(constB159))),
% 16.28/11.43 inference(tautology,[status(thm)],[])).
% 16.28/11.43 tff(21273,plain,
% 16.28/11.43 (v109(constB159) | v118(constB159)),
% 16.28/11.43 inference(unit_resolution,[status(thm)],[21272, 21271])).
% 16.28/11.43 tff(21274,plain,
% 16.28/11.43 ((~(v108(constB159) <=> (v109(constB159) | v118(constB159)))) | v108(constB159) | (~(v109(constB159) | v118(constB159)))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21275,plain,
% 16.30/11.43 (v108(constB159)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21274, 21273, 21253])).
% 16.30/11.43 tff(21276,plain,
% 16.30/11.43 ((v108(constB159) | v119(constB159)) | (~v108(constB159))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21277,plain,
% 16.30/11.43 (v108(constB159) | v119(constB159)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21276, 21275])).
% 16.30/11.43 tff(21278,plain,
% 16.30/11.43 ((~(v107(constB159) <=> (v108(constB159) | v119(constB159)))) | v107(constB159) | (~(v108(constB159) | v119(constB159)))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21279,plain,
% 16.30/11.43 (v107(constB159)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21278, 21277, 21251])).
% 16.30/11.43 tff(21280,plain,
% 16.30/11.43 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB159)) <=> v105(constB159))),
% 16.30/11.43 inference(quant_inst,[status(thm)],[])).
% 16.30/11.43 tff(21281,plain,
% 16.30/11.43 ((~v120(constB159)) <=> v105(constB159)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21280, 2484])).
% 16.30/11.43 tff(21282,plain,
% 16.30/11.43 ((~((~v120(constB159)) <=> v105(constB159))) | v120(constB159) | v105(constB159)),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21283,plain,
% 16.30/11.43 ((~((~v120(constB159)) <=> v105(constB159))) | v120(constB159)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21282, 14738])).
% 16.30/11.43 tff(21284,plain,
% 16.30/11.43 (v120(constB159)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21283, 21281])).
% 16.30/11.43 tff(21285,plain,
% 16.30/11.43 ((~((~v107(constB159)) | (~v120(constB159)))) | (~v107(constB159)) | (~v120(constB159))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21286,plain,
% 16.30/11.43 ((~((~v107(constB159)) | (~v120(constB159)))) | (~v107(constB159))),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21285, 21284])).
% 16.30/11.43 tff(21287,plain,
% 16.30/11.43 (~((~v107(constB159)) | (~v120(constB159)))),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21286, 21279])).
% 16.30/11.43 tff(21288,plain,
% 16.30/11.43 ((~(v106(constB159) <=> (~((~v107(constB159)) | (~v120(constB159)))))) | v106(constB159) | ((~v107(constB159)) | (~v120(constB159)))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21289,plain,
% 16.30/11.43 (v106(constB159)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21288, 21287, 21249])).
% 16.30/11.43 tff(21290,plain,
% 16.30/11.43 ((v105(constB159) | v106(constB159)) | (~v106(constB159))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21291,plain,
% 16.30/11.43 (v105(constB159) | v106(constB159)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21290, 21289])).
% 16.30/11.43 tff(21292,plain,
% 16.30/11.43 ((~(v102(constB159) <=> (v105(constB159) | v106(constB159)))) | v102(constB159) | (~(v105(constB159) | v106(constB159)))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21293,plain,
% 16.30/11.43 (v102(constB159)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21292, 21291, 21247])).
% 16.30/11.43 tff(21294,plain,
% 16.30/11.43 ((~(v104(constB160) <=> v102(constB159))) | v104(constB160) | (~v102(constB159))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21295,plain,
% 16.30/11.43 (v104(constB160)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21294, 21293, 21245])).
% 16.30/11.43 tff(21296,plain,
% 16.30/11.43 ((~((~v95(constB160)) | (~v104(constB160)))) | (~v95(constB160)) | (~v104(constB160))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21297,plain,
% 16.30/11.43 (~((~v95(constB160)) | (~v104(constB160)))),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21296, 21295, 21241])).
% 16.30/11.43 tff(21298,plain,
% 16.30/11.43 ((~(v94(constB160) <=> (~((~v95(constB160)) | (~v104(constB160)))))) | v94(constB160) | ((~v95(constB160)) | (~v104(constB160)))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21299,plain,
% 16.30/11.43 (v94(constB160)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21298, 21297, 21213])).
% 16.30/11.43 tff(21300,plain,
% 16.30/11.43 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB160)) | (~(((~v84(constB160, 2)) <=> v123(constB160, 2)) | ((~v84(constB160, 1)) <=> v123(constB160, 1)) | ((~v84(constB160, 0)) <=> v123(constB160, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB160)) | (~(((~v84(constB160, 2)) <=> v123(constB160, 2)) | ((~v84(constB160, 1)) <=> v123(constB160, 1)) | ((~v84(constB160, 0)) <=> v123(constB160, 0)))))),
% 16.30/11.43 inference(rewrite,[status(thm)],[])).
% 16.30/11.43 tff(21301,plain,
% 16.30/11.43 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB160)) | (~(((~v84(constB160, 2)) <=> v123(constB160, 2)) | ((~v84(constB160, 1)) <=> v123(constB160, 1)) | ((~v84(constB160, 0)) <=> v123(constB160, 0)))))),
% 16.30/11.43 inference(quant_inst,[status(thm)],[])).
% 16.30/11.43 tff(21302,plain,
% 16.30/11.43 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB160)) | (~(((~v84(constB160, 2)) <=> v123(constB160, 2)) | ((~v84(constB160, 1)) <=> v123(constB160, 1)) | ((~v84(constB160, 0)) <=> v123(constB160, 0))))),
% 16.30/11.43 inference(modus_ponens,[status(thm)],[21301, 21300])).
% 16.30/11.43 tff(21303,plain,
% 16.30/11.43 ((~v94(constB160)) | (~(((~v84(constB160, 2)) <=> v123(constB160, 2)) | ((~v84(constB160, 1)) <=> v123(constB160, 1)) | ((~v84(constB160, 0)) <=> v123(constB160, 0))))),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21302, 2517])).
% 16.30/11.43 tff(21304,plain,
% 16.30/11.43 (~(((~v84(constB160, 2)) <=> v123(constB160, 2)) | ((~v84(constB160, 1)) <=> v123(constB160, 1)) | ((~v84(constB160, 0)) <=> v123(constB160, 0)))),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21303, 21299])).
% 16.30/11.43 tff(21305,plain,
% 16.30/11.43 ((((~v84(constB160, 2)) <=> v123(constB160, 2)) | ((~v84(constB160, 1)) <=> v123(constB160, 1)) | ((~v84(constB160, 0)) <=> v123(constB160, 0))) | (~((~v84(constB160, 1)) <=> v123(constB160, 1)))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21306,plain,
% 16.30/11.43 (~((~v84(constB160, 1)) <=> v123(constB160, 1))),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21305, 21304])).
% 16.30/11.43 tff(21307,plain,
% 16.30/11.43 (((~v84(constB160, 1)) <=> v123(constB160, 1)) | v84(constB160, 1) | (~v123(constB160, 1))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21308,plain,
% 16.30/11.43 (v84(constB160, 1)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21307, 21306, 21209])).
% 16.30/11.43 tff(21309,plain,
% 16.30/11.43 (((~v84(constB161, 1)) <=> v84(constB160, 1)) | v84(constB161, 1) | (~v84(constB160, 1))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21310,plain,
% 16.30/11.43 (v84(constB161, 1)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21309, 21308, 14722])).
% 16.30/11.43 tff(21311,plain,
% 16.30/11.43 ((v84(constB161, 1) | v84(constB161, 2) | (~v84(constB161, 0))) | (~v84(constB161, 1))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21312,plain,
% 16.30/11.43 (v84(constB161, 1) | v84(constB161, 2) | (~v84(constB161, 0))),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21311, 21310])).
% 16.30/11.43 tff(21313,plain,
% 16.30/11.43 ((~(v145(constB161) <=> (~(v84(constB161, 1) | v84(constB161, 2) | (~v84(constB161, 0)))))) | (~v145(constB161)) | (~(v84(constB161, 1) | v84(constB161, 2) | (~v84(constB161, 0))))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21314,plain,
% 16.30/11.43 (~v145(constB161)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21313, 21312, 14689])).
% 16.30/11.43 tff(21315,plain,
% 16.30/11.43 (((~v141(constB161)) | (~v145(constB161))) | v145(constB161)),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21316,plain,
% 16.30/11.43 ((~v141(constB161)) | (~v145(constB161))),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21315, 21314])).
% 16.30/11.43 tff(21317,plain,
% 16.30/11.43 ((~(v144(constB161) <=> (~((~v141(constB161)) | (~v145(constB161)))))) | (~v144(constB161)) | (~((~v141(constB161)) | (~v145(constB161))))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21318,plain,
% 16.30/11.43 (~v144(constB161)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21317, 21316, 14687])).
% 16.30/11.43 tff(21319,plain,
% 16.30/11.43 (((~v143(constB161)) | (~v144(constB161))) | v144(constB161)),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21320,plain,
% 16.30/11.43 ((~v143(constB161)) | (~v144(constB161))),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21319, 21318])).
% 16.30/11.43 tff(21321,plain,
% 16.30/11.43 ((~(v142(constB161) <=> (~((~v143(constB161)) | (~v144(constB161)))))) | (~v142(constB161)) | (~((~v143(constB161)) | (~v144(constB161))))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21322,plain,
% 16.30/11.43 (~v142(constB161)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21321, 21320, 14685])).
% 16.30/11.43 tff(21323,plain,
% 16.30/11.43 ((~(v138(constB161) | v142(constB161))) | v138(constB161) | v142(constB161)),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21324,plain,
% 16.30/11.43 (~(v138(constB161) | v142(constB161))),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21323, 21322, 14683])).
% 16.30/11.43 tff(21325,plain,
% 16.30/11.43 ((~(v135(constB161) <=> (v138(constB161) | v142(constB161)))) | (~v135(constB161)) | (v138(constB161) | v142(constB161))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21326,plain,
% 16.30/11.43 (~v135(constB161)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21325, 21324, 14607])).
% 16.30/11.43 tff(21327,plain,
% 16.30/11.43 ((~(v137(constB162) <=> v135(constB161))) | (~v137(constB162)) | v135(constB161)),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21328,plain,
% 16.30/11.43 (~v137(constB162)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21327, 21326, 14605])).
% 16.30/11.43 tff(21329,plain,
% 16.30/11.43 ((~(v132(constB162) <=> v137(constB162))) | (~v132(constB162)) | v137(constB162)),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21330,plain,
% 16.30/11.43 (~v132(constB162)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21329, 21328, 14598])).
% 16.30/11.43 tff(21331,plain,
% 16.30/11.43 (((~v132(constB162)) | (~v139(constB162))) | v132(constB162)),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21332,plain,
% 16.30/11.43 ((~v132(constB162)) | (~v139(constB162))),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21331, 21330])).
% 16.30/11.43 tff(21333,plain,
% 16.30/11.43 ((~(v138(constB162) <=> (~((~v132(constB162)) | (~v139(constB162)))))) | (~v138(constB162)) | (~((~v132(constB162)) | (~v139(constB162))))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21334,plain,
% 16.30/11.43 (~v138(constB162)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21333, 21332, 14596])).
% 16.30/11.43 tff(21335,plain,
% 16.30/11.43 ((~(v138(constB162) | v142(constB162))) | v138(constB162) | v142(constB162)),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21336,plain,
% 16.30/11.43 (~(v138(constB162) | v142(constB162))),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21335, 21334, 14589])).
% 16.30/11.43 tff(21337,plain,
% 16.30/11.43 ((~(v135(constB162) <=> (v138(constB162) | v142(constB162)))) | (~v135(constB162)) | (v138(constB162) | v142(constB162))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21338,plain,
% 16.30/11.43 (~v135(constB162)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21337, 21336, 14561])).
% 16.30/11.43 tff(21339,plain,
% 16.30/11.43 ((~(v137(constB163) <=> v135(constB162))) | (~v137(constB163)) | v135(constB162)),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21340,plain,
% 16.30/11.43 (~v137(constB163)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21339, 21338, 14559])).
% 16.30/11.43 tff(21341,plain,
% 16.30/11.43 ((~(v132(constB163) <=> v137(constB163))) | (~v132(constB163)) | v137(constB163)),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21342,plain,
% 16.30/11.43 (~v132(constB163)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21341, 21340, 14552])).
% 16.30/11.43 tff(21343,plain,
% 16.30/11.43 (((~v132(constB163)) | (~v155(constB163))) | v132(constB163)),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21344,plain,
% 16.30/11.43 ((~v132(constB163)) | (~v155(constB163))),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21343, 21342])).
% 16.30/11.43 tff(21345,plain,
% 16.30/11.43 ((~(v154(constB163) <=> (~((~v132(constB163)) | (~v155(constB163)))))) | (~v154(constB163)) | (~((~v132(constB163)) | (~v155(constB163))))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21346,plain,
% 16.30/11.43 (~v154(constB163)),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21345, 21344, 14550])).
% 16.30/11.43 tff(21347,plain,
% 16.30/11.43 ((~(v153(constB163) | v154(constB163))) | v153(constB163) | v154(constB163)),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21348,plain,
% 16.30/11.43 (~(v153(constB163) | v154(constB163))),
% 16.30/11.43 inference(unit_resolution,[status(thm)],[21347, 21346, 14543])).
% 16.30/11.43 tff(21349,plain,
% 16.30/11.43 ((~(v150(constB163) <=> (v153(constB163) | v154(constB163)))) | (~v150(constB163)) | (v153(constB163) | v154(constB163))),
% 16.30/11.43 inference(tautology,[status(thm)],[])).
% 16.30/11.43 tff(21350,plain,
% 16.30/11.43 (~v150(constB163)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21349, 21348, 14467])).
% 16.30/11.44 tff(21351,plain,
% 16.30/11.44 ((~(v152(constB164) <=> v150(constB163))) | (~v152(constB164)) | v150(constB163)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21352,plain,
% 16.30/11.44 (~v152(constB164)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21351, 21350, 14465])).
% 16.30/11.44 tff(21353,plain,
% 16.30/11.44 ((~(v130(constB164) <=> v152(constB164))) | (~v130(constB164)) | v152(constB164)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21354,plain,
% 16.30/11.44 (~v130(constB164)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21353, 21352, 14458])).
% 16.30/11.44 tff(21355,plain,
% 16.30/11.44 (((~v130(constB164)) | (~v139(constB164))) | v130(constB164)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21356,plain,
% 16.30/11.44 ((~v130(constB164)) | (~v139(constB164))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21355, 21354])).
% 16.30/11.44 tff(21357,plain,
% 16.30/11.44 ((~(v153(constB164) <=> (~((~v130(constB164)) | (~v139(constB164)))))) | (~v153(constB164)) | (~((~v130(constB164)) | (~v139(constB164))))),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21358,plain,
% 16.30/11.44 (~v153(constB164)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21357, 21356, 14456])).
% 16.30/11.44 tff(21359,plain,
% 16.30/11.44 ((~(v153(constB164) | v154(constB164))) | v153(constB164) | v154(constB164)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21360,plain,
% 16.30/11.44 (~(v153(constB164) | v154(constB164))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21359, 21358, 14449])).
% 16.30/11.44 tff(21361,plain,
% 16.30/11.44 ((~(v150(constB164) <=> (v153(constB164) | v154(constB164)))) | (~v150(constB164)) | (v153(constB164) | v154(constB164))),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21362,plain,
% 16.30/11.44 (~v150(constB164)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21361, 21360, 14411])).
% 16.30/11.44 tff(21363,plain,
% 16.30/11.44 ((~(v152(constB165) <=> v150(constB164))) | (~v152(constB165)) | v150(constB164)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21364,plain,
% 16.30/11.44 (~v152(constB165)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21363, 21362, 14409])).
% 16.30/11.44 tff(21365,plain,
% 16.30/11.44 ((~(v130(constB165) <=> v152(constB165))) | (~v130(constB165)) | v152(constB165)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21366,plain,
% 16.30/11.44 (~v130(constB165)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21365, 21364, 14402])).
% 16.30/11.44 tff(21367,plain,
% 16.30/11.44 (((~v130(constB165)) | (~v155(constB165))) | v130(constB165)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21368,plain,
% 16.30/11.44 ((~v130(constB165)) | (~v155(constB165))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21367, 21366])).
% 16.30/11.44 tff(21369,plain,
% 16.30/11.44 ((~(v164(constB165) <=> (~((~v130(constB165)) | (~v155(constB165)))))) | (~v164(constB165)) | (~((~v130(constB165)) | (~v155(constB165))))),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21370,plain,
% 16.30/11.44 (~v164(constB165)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21369, 21368, 14400])).
% 16.30/11.44 tff(21371,plain,
% 16.30/11.44 ((~(v163(constB165) | v164(constB165))) | v163(constB165) | v164(constB165)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21372,plain,
% 16.30/11.44 (~(v163(constB165) | v164(constB165))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21371, 21370, 14393])).
% 16.30/11.44 tff(21373,plain,
% 16.30/11.44 ((~(v160(constB165) <=> (v163(constB165) | v164(constB165)))) | (~v160(constB165)) | (v163(constB165) | v164(constB165))),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21374,plain,
% 16.30/11.44 (~v160(constB165)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21373, 21372, 14317])).
% 16.30/11.44 tff(21375,plain,
% 16.30/11.44 ((~(v162(constB166) <=> v160(constB165))) | (~v162(constB166)) | v160(constB165)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21376,plain,
% 16.30/11.44 (~v162(constB166)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21375, 21374, 14315])).
% 16.30/11.44 tff(21377,plain,
% 16.30/11.44 ((~(v128(constB166) <=> v162(constB166))) | (~v128(constB166)) | v162(constB166)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21378,plain,
% 16.30/11.44 (~v128(constB166)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21377, 21376, 14308])).
% 16.30/11.44 tff(21379,plain,
% 16.30/11.44 (((~v128(constB166)) | (~v139(constB166))) | v128(constB166)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21380,plain,
% 16.30/11.44 ((~v128(constB166)) | (~v139(constB166))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21379, 21378])).
% 16.30/11.44 tff(21381,plain,
% 16.30/11.44 ((~(v163(constB166) <=> (~((~v128(constB166)) | (~v139(constB166)))))) | (~v163(constB166)) | (~((~v128(constB166)) | (~v139(constB166))))),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21382,plain,
% 16.30/11.44 (~v163(constB166)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21381, 21380, 14306])).
% 16.30/11.44 tff(21383,plain,
% 16.30/11.44 ((~(v163(constB166) | v164(constB166))) | v163(constB166) | v164(constB166)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21384,plain,
% 16.30/11.44 (~(v163(constB166) | v164(constB166))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21383, 21382, 14299])).
% 16.30/11.44 tff(21385,plain,
% 16.30/11.44 ((~(v160(constB166) <=> (v163(constB166) | v164(constB166)))) | (~v160(constB166)) | (v163(constB166) | v164(constB166))),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21386,plain,
% 16.30/11.44 (~v160(constB166)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21385, 21384, 14261])).
% 16.30/11.44 tff(21387,plain,
% 16.30/11.44 ((~(v162(constB167) <=> v160(constB166))) | (~v162(constB167)) | v160(constB166)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21388,plain,
% 16.30/11.44 (~v162(constB167)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21387, 21386, 14259])).
% 16.30/11.44 tff(21389,plain,
% 16.30/11.44 ($false),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21388, 14252])).
% 16.30/11.44 tff(21390,plain,(~(constB167 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.30/11.44 tff(21391,assumption,(constB7 = VarCurr!0), introduced(assumption)).
% 16.30/11.44 tff(21392,plain,
% 16.30/11.44 (v162(constB7) <=> v162(VarCurr!0)),
% 16.30/11.44 inference(monotonicity,[status(thm)],[21391])).
% 16.30/11.44 tff(21393,plain,
% 16.30/11.44 (v162(VarCurr!0) <=> v162(constB7)),
% 16.30/11.44 inference(symmetry,[status(thm)],[21392])).
% 16.30/11.44 tff(21394,plain,
% 16.30/11.44 (v162(constB7)),
% 16.30/11.44 inference(modus_ponens,[status(thm)],[59, 21393])).
% 16.30/11.44 tff(21395,plain,
% 16.30/11.44 ($false),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[13565, 21394])).
% 16.30/11.44 tff(21396,plain,(~(constB7 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.30/11.44 tff(21397,assumption,(constB29 = VarCurr!0), introduced(assumption)).
% 16.30/11.44 tff(21398,plain,
% 16.30/11.44 (v162(constB29) <=> v162(VarCurr!0)),
% 16.30/11.44 inference(monotonicity,[status(thm)],[21397])).
% 16.30/11.44 tff(21399,plain,
% 16.30/11.44 (v162(VarCurr!0) <=> v162(constB29)),
% 16.30/11.44 inference(symmetry,[status(thm)],[21398])).
% 16.30/11.44 tff(21400,plain,
% 16.30/11.44 (v162(constB29)),
% 16.30/11.44 inference(modus_ponens,[status(thm)],[59, 21399])).
% 16.30/11.44 tff(21401,plain,
% 16.30/11.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB28, constB29)) | (v162(constB29) <=> v160(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB28, constB29)) | (v162(constB29) <=> v160(constB28)))),
% 16.30/11.44 inference(rewrite,[status(thm)],[])).
% 16.30/11.44 tff(21402,plain,
% 16.30/11.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB28, constB29)) | (v162(constB29) <=> v160(constB28)))),
% 16.30/11.44 inference(quant_inst,[status(thm)],[])).
% 16.30/11.44 tff(21403,plain,
% 16.30/11.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB28, constB29)) | (v162(constB29) <=> v160(constB28))),
% 16.30/11.44 inference(modus_ponens,[status(thm)],[21402, 21401])).
% 16.30/11.44 tff(21404,plain,
% 16.30/11.44 (v162(constB29) <=> v160(constB28)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21403, 1336, 70])).
% 16.30/11.44 tff(21405,plain,
% 16.30/11.44 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB28) <=> (v163(constB28) | v164(constB28)))),
% 16.30/11.44 inference(quant_inst,[status(thm)],[])).
% 16.30/11.44 tff(21406,plain,
% 16.30/11.44 (v160(constB28) <=> (v163(constB28) | v164(constB28))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21405, 84])).
% 16.30/11.44 tff(21407,plain,
% 16.30/11.44 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v130(constB28)) | (~v155(constB28)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v130(constB28)) | (~v155(constB28))))))),
% 16.30/11.44 inference(rewrite,[status(thm)],[])).
% 16.30/11.44 tff(21408,plain,
% 16.30/11.44 ((v164(constB28) <=> (~((~v155(constB28)) | (~v130(constB28))))) <=> (v164(constB28) <=> (~((~v130(constB28)) | (~v155(constB28)))))),
% 16.30/11.44 inference(rewrite,[status(thm)],[])).
% 16.30/11.44 tff(21409,plain,
% 16.30/11.44 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v155(constB28)) | (~v130(constB28)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v130(constB28)) | (~v155(constB28))))))),
% 16.30/11.44 inference(monotonicity,[status(thm)],[21408])).
% 16.30/11.44 tff(21410,plain,
% 16.30/11.44 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v155(constB28)) | (~v130(constB28)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v130(constB28)) | (~v155(constB28))))))),
% 16.30/11.44 inference(transitivity,[status(thm)],[21409, 21407])).
% 16.30/11.44 tff(21411,plain,
% 16.30/11.44 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v155(constB28)) | (~v130(constB28)))))),
% 16.30/11.44 inference(quant_inst,[status(thm)],[])).
% 16.30/11.44 tff(21412,plain,
% 16.30/11.44 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v130(constB28)) | (~v155(constB28)))))),
% 16.30/11.44 inference(modus_ponens,[status(thm)],[21411, 21410])).
% 16.30/11.44 tff(21413,plain,
% 16.30/11.44 (v164(constB28) <=> (~((~v130(constB28)) | (~v155(constB28))))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21412, 96])).
% 16.30/11.44 tff(21414,plain,
% 16.30/11.44 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB28) <=> (~((~v141(constB28)) | (~v143(constB28)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB28) <=> (~((~v141(constB28)) | (~v143(constB28))))))),
% 16.30/11.44 inference(rewrite,[status(thm)],[])).
% 16.30/11.44 tff(21415,plain,
% 16.30/11.44 ((v155(constB28) <=> (~((~v143(constB28)) | (~v141(constB28))))) <=> (v155(constB28) <=> (~((~v141(constB28)) | (~v143(constB28)))))),
% 16.30/11.44 inference(rewrite,[status(thm)],[])).
% 16.30/11.44 tff(21416,plain,
% 16.30/11.44 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB28) <=> (~((~v143(constB28)) | (~v141(constB28)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB28) <=> (~((~v141(constB28)) | (~v143(constB28))))))),
% 16.30/11.44 inference(monotonicity,[status(thm)],[21415])).
% 16.30/11.44 tff(21417,plain,
% 16.30/11.44 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB28) <=> (~((~v143(constB28)) | (~v141(constB28)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB28) <=> (~((~v141(constB28)) | (~v143(constB28))))))),
% 16.30/11.44 inference(transitivity,[status(thm)],[21416, 21414])).
% 16.30/11.44 tff(21418,plain,
% 16.30/11.44 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB28) <=> (~((~v143(constB28)) | (~v141(constB28)))))),
% 16.30/11.44 inference(quant_inst,[status(thm)],[])).
% 16.30/11.44 tff(21419,plain,
% 16.30/11.44 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB28) <=> (~((~v141(constB28)) | (~v143(constB28)))))),
% 16.30/11.44 inference(modus_ponens,[status(thm)],[21418, 21417])).
% 16.30/11.44 tff(21420,plain,
% 16.30/11.44 (v155(constB28) <=> (~((~v141(constB28)) | (~v143(constB28))))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21419, 113])).
% 16.30/11.44 tff(21421,plain,
% 16.30/11.44 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB28) <=> (~((~v39(constB28)) | (~v9(constB28)))))),
% 16.30/11.44 inference(quant_inst,[status(thm)],[])).
% 16.30/11.44 tff(21422,plain,
% 16.30/11.44 (v141(constB28) <=> (~((~v39(constB28)) | (~v9(constB28))))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21421, 130])).
% 16.30/11.44 tff(21423,plain,
% 16.30/11.44 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB28)) <=> v1(constB28))),
% 16.30/11.44 inference(quant_inst,[status(thm)],[])).
% 16.30/11.44 tff(21424,plain,
% 16.30/11.44 ((~v39(constB28)) <=> v1(constB28)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21423, 139])).
% 16.30/11.44 tff(21425,plain,
% 16.30/11.44 ((~((~v39(constB28)) <=> v1(constB28))) | (~v39(constB28)) | (~v1(constB28))),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21426,plain,
% 16.30/11.44 ((~((~v39(constB28)) <=> v1(constB28))) | (~v39(constB28))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21425, 4620])).
% 16.30/11.44 tff(21427,plain,
% 16.30/11.44 (~v39(constB28)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21426, 21424])).
% 16.30/11.44 tff(21428,plain,
% 16.30/11.44 (((~v39(constB28)) | (~v9(constB28))) | v39(constB28)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21429,plain,
% 16.30/11.44 ((~v39(constB28)) | (~v9(constB28))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21428, 21427])).
% 16.30/11.44 tff(21430,plain,
% 16.30/11.44 ((~(v141(constB28) <=> (~((~v39(constB28)) | (~v9(constB28)))))) | (~v141(constB28)) | (~((~v39(constB28)) | (~v9(constB28))))),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21431,plain,
% 16.30/11.44 ((~(v141(constB28) <=> (~((~v39(constB28)) | (~v9(constB28)))))) | (~v141(constB28))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21430, 21429])).
% 16.30/11.44 tff(21432,plain,
% 16.30/11.44 (~v141(constB28)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21431, 21422])).
% 16.30/11.44 tff(21433,plain,
% 16.30/11.44 (((~v141(constB28)) | (~v143(constB28))) | v141(constB28)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21434,plain,
% 16.30/11.44 ((~v141(constB28)) | (~v143(constB28))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21433, 21432])).
% 16.30/11.44 tff(21435,plain,
% 16.30/11.44 ((~(v155(constB28) <=> (~((~v141(constB28)) | (~v143(constB28)))))) | (~v155(constB28)) | (~((~v141(constB28)) | (~v143(constB28))))),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21436,plain,
% 16.30/11.44 ((~(v155(constB28) <=> (~((~v141(constB28)) | (~v143(constB28)))))) | (~v155(constB28))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21435, 21434])).
% 16.30/11.44 tff(21437,plain,
% 16.30/11.44 (~v155(constB28)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21436, 21420])).
% 16.30/11.44 tff(21438,plain,
% 16.30/11.44 (((~v130(constB28)) | (~v155(constB28))) | v155(constB28)),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21439,plain,
% 16.30/11.44 ((~v130(constB28)) | (~v155(constB28))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21438, 21437])).
% 16.30/11.44 tff(21440,plain,
% 16.30/11.44 ((~(v164(constB28) <=> (~((~v130(constB28)) | (~v155(constB28)))))) | (~v164(constB28)) | (~((~v130(constB28)) | (~v155(constB28))))),
% 16.30/11.44 inference(tautology,[status(thm)],[])).
% 16.30/11.44 tff(21441,plain,
% 16.30/11.44 (~v164(constB28)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21440, 21439, 21413])).
% 16.30/11.44 tff(21442,plain,
% 16.30/11.44 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28))))))),
% 16.30/11.44 inference(rewrite,[status(thm)],[])).
% 16.30/11.44 tff(21443,plain,
% 16.30/11.44 ((v163(constB28) <=> (~((~v139(constB28)) | (~v128(constB28))))) <=> (v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28)))))),
% 16.30/11.44 inference(rewrite,[status(thm)],[])).
% 16.30/11.44 tff(21444,plain,
% 16.30/11.44 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v139(constB28)) | (~v128(constB28)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28))))))),
% 16.30/11.44 inference(monotonicity,[status(thm)],[21443])).
% 16.30/11.44 tff(21445,plain,
% 16.30/11.44 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v139(constB28)) | (~v128(constB28)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28))))))),
% 16.30/11.44 inference(transitivity,[status(thm)],[21444, 21442])).
% 16.30/11.44 tff(21446,plain,
% 16.30/11.44 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v139(constB28)) | (~v128(constB28)))))),
% 16.30/11.44 inference(quant_inst,[status(thm)],[])).
% 16.30/11.44 tff(21447,plain,
% 16.30/11.44 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28)))))),
% 16.30/11.44 inference(modus_ponens,[status(thm)],[21446, 21445])).
% 16.30/11.44 tff(21448,plain,
% 16.30/11.44 (v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28))))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21447, 171])).
% 16.30/11.44 tff(21449,plain,
% 16.30/11.44 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB28) <=> v162(constB28))),
% 16.30/11.44 inference(quant_inst,[status(thm)],[])).
% 16.30/11.44 tff(21450,plain,
% 16.30/11.44 (v128(constB28) <=> v162(constB28)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21449, 13])).
% 16.30/11.44 tff(21451,plain,
% 16.30/11.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB27, constB28)) | (v162(constB28) <=> v160(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB27, constB28)) | (v162(constB28) <=> v160(constB27)))),
% 16.30/11.44 inference(rewrite,[status(thm)],[])).
% 16.30/11.44 tff(21452,plain,
% 16.30/11.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB27, constB28)) | (v162(constB28) <=> v160(constB27)))),
% 16.30/11.44 inference(quant_inst,[status(thm)],[])).
% 16.30/11.44 tff(21453,plain,
% 16.30/11.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB27, constB28)) | (v162(constB28) <=> v160(constB27))),
% 16.30/11.44 inference(modus_ponens,[status(thm)],[21452, 21451])).
% 16.30/11.44 tff(21454,plain,
% 16.30/11.44 (v162(constB28) <=> v160(constB27)),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21453, 1372, 70])).
% 16.30/11.44 tff(21455,plain,
% 16.30/11.44 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB27) <=> (v163(constB27) | v164(constB27)))),
% 16.30/11.44 inference(quant_inst,[status(thm)],[])).
% 16.30/11.44 tff(21456,plain,
% 16.30/11.44 (v160(constB27) <=> (v163(constB27) | v164(constB27))),
% 16.30/11.44 inference(unit_resolution,[status(thm)],[21455, 84])).
% 16.30/11.44 tff(21457,plain,
% 16.30/11.44 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27))))))),
% 16.30/11.44 inference(rewrite,[status(thm)],[])).
% 16.30/11.44 tff(21458,plain,
% 16.30/11.44 ((v163(constB27) <=> (~((~v139(constB27)) | (~v128(constB27))))) <=> (v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27)))))),
% 16.30/11.44 inference(rewrite,[status(thm)],[])).
% 16.30/11.44 tff(21459,plain,
% 16.30/11.44 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v139(constB27)) | (~v128(constB27)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27))))))),
% 16.30/11.44 inference(monotonicity,[status(thm)],[21458])).
% 16.30/11.44 tff(21460,plain,
% 16.30/11.44 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v139(constB27)) | (~v128(constB27)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27))))))),
% 16.30/11.44 inference(transitivity,[status(thm)],[21459, 21457])).
% 16.30/11.44 tff(21461,plain,
% 16.30/11.44 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v139(constB27)) | (~v128(constB27)))))),
% 16.30/11.44 inference(quant_inst,[status(thm)],[])).
% 16.30/11.44 tff(21462,plain,
% 16.30/11.44 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27)))))),
% 16.30/11.44 inference(modus_ponens,[status(thm)],[21461, 21460])).
% 16.30/11.44 tff(21463,plain,
% 16.30/11.44 (v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27))))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21462, 171])).
% 16.30/11.45 tff(21464,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB27)) <=> v140(constB27))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21465,plain,
% 16.30/11.45 ((~v139(constB27)) <=> v140(constB27)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21464, 203])).
% 16.30/11.45 tff(21466,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB27) <=> (v141(constB27) | v26(constB27)))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21467,plain,
% 16.30/11.45 (v140(constB27) <=> (v141(constB27) | v26(constB27))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21466, 212])).
% 16.30/11.45 tff(21468,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB27) <=> (~((~v39(constB27)) | (~v9(constB27)))))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21469,plain,
% 16.30/11.45 (v141(constB27) <=> (~((~v39(constB27)) | (~v9(constB27))))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21468, 130])).
% 16.30/11.45 tff(21470,plain,
% 16.30/11.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB27, constB28)) | (v13(constB28) <=> v9(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB27, constB28)) | (v13(constB28) <=> v9(constB27)))),
% 16.30/11.45 inference(rewrite,[status(thm)],[])).
% 16.30/11.45 tff(21471,plain,
% 16.30/11.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB27, constB28)) | (v13(constB28) <=> v9(constB27)))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21472,plain,
% 16.30/11.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB27, constB28)) | (v13(constB28) <=> v9(constB27))),
% 16.30/11.45 inference(modus_ponens,[status(thm)],[21471, 21470])).
% 16.30/11.45 tff(21473,plain,
% 16.30/11.45 (v13(constB28) <=> v9(constB27)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21472, 1372, 226])).
% 16.30/11.45 tff(21474,plain,
% 16.30/11.45 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB28) <=> v13(constB28))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21475,plain,
% 16.30/11.45 (v6(constB28) <=> v13(constB28)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21474, 240])).
% 16.30/11.45 tff(21476,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB28)) <=> v6(constB28))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21477,plain,
% 16.30/11.45 ((~v21(constB28)) <=> v6(constB28)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21476, 249])).
% 16.30/11.45 tff(21478,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB28) <=> (v20(constB28) | v21(constB28)))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21479,plain,
% 16.30/11.45 (v19(constB28) <=> (v20(constB28) | v21(constB28))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21478, 258])).
% 16.30/11.45 tff(21480,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB28) <=> (~((~v19(constB28)) | (~v22(constB28)))))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21481,plain,
% 16.30/11.45 (v18(constB28) <=> (~((~v19(constB28)) | (~v22(constB28))))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21480, 270])).
% 16.30/11.45 tff(21482,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB28)) <=> v18(constB28))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21483,plain,
% 16.30/11.45 ((~v4(constB28)) <=> v18(constB28)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21482, 279])).
% 16.30/11.45 tff(21484,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB28)),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21485,plain,
% 16.30/11.45 (v4(constB28)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21484, 288])).
% 16.30/11.45 tff(21486,plain,
% 16.30/11.45 ((~((~v4(constB28)) <=> v18(constB28))) | (~v4(constB28)) | (~v18(constB28))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21487,plain,
% 16.30/11.45 (~v18(constB28)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21486, 21485, 21483])).
% 16.30/11.45 tff(21488,plain,
% 16.30/11.45 ((~(v18(constB28) <=> (~((~v19(constB28)) | (~v22(constB28)))))) | v18(constB28) | ((~v19(constB28)) | (~v22(constB28)))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21489,plain,
% 16.30/11.45 ((~v19(constB28)) | (~v22(constB28))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21488, 21487, 21481])).
% 16.30/11.45 tff(21490,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB28) <=> (v1(constB28) | v6(constB28)))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21491,plain,
% 16.30/11.45 (v22(constB28) <=> (v1(constB28) | v6(constB28))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21490, 301])).
% 16.30/11.45 tff(21492,plain,
% 16.30/11.45 ((v1(constB28) | v6(constB28)) | (~v1(constB28))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21493,plain,
% 16.30/11.45 (v1(constB28) | v6(constB28)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21492, 4620])).
% 16.30/11.45 tff(21494,plain,
% 16.30/11.45 ((~(v22(constB28) <=> (v1(constB28) | v6(constB28)))) | v22(constB28) | (~(v1(constB28) | v6(constB28)))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21495,plain,
% 16.30/11.45 ((~(v22(constB28) <=> (v1(constB28) | v6(constB28)))) | v22(constB28)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21494, 21493])).
% 16.30/11.45 tff(21496,plain,
% 16.30/11.45 (v22(constB28)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21495, 21491])).
% 16.30/11.45 tff(21497,plain,
% 16.30/11.45 ((~((~v19(constB28)) | (~v22(constB28)))) | (~v19(constB28)) | (~v22(constB28))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21498,plain,
% 16.30/11.45 ((~((~v19(constB28)) | (~v22(constB28)))) | (~v19(constB28))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21497, 21496])).
% 16.30/11.45 tff(21499,plain,
% 16.30/11.45 (~v19(constB28)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21498, 21489])).
% 16.30/11.45 tff(21500,plain,
% 16.30/11.45 ((~(v19(constB28) <=> (v20(constB28) | v21(constB28)))) | v19(constB28) | (~(v20(constB28) | v21(constB28)))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21501,plain,
% 16.30/11.45 (~(v20(constB28) | v21(constB28))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21500, 21499, 21479])).
% 16.30/11.45 tff(21502,plain,
% 16.30/11.45 ((v20(constB28) | v21(constB28)) | (~v21(constB28))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21503,plain,
% 16.30/11.45 (~v21(constB28)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21502, 21501])).
% 16.30/11.45 tff(21504,plain,
% 16.30/11.45 ((~((~v21(constB28)) <=> v6(constB28))) | v21(constB28) | v6(constB28)),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21505,plain,
% 16.30/11.45 (v6(constB28)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21504, 21503, 21477])).
% 16.30/11.45 tff(21506,plain,
% 16.30/11.45 ((~(v6(constB28) <=> v13(constB28))) | (~v6(constB28)) | v13(constB28)),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21507,plain,
% 16.30/11.45 (v13(constB28)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21506, 21505, 21475])).
% 16.30/11.45 tff(21508,plain,
% 16.30/11.45 ((~(v13(constB28) <=> v9(constB27))) | (~v13(constB28)) | v9(constB27)),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21509,plain,
% 16.30/11.45 (v9(constB27)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21508, 21507, 21473])).
% 16.30/11.45 tff(21510,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB27)) <=> v1(constB27))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21511,plain,
% 16.30/11.45 ((~v39(constB27)) <=> v1(constB27)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21510, 139])).
% 16.30/11.45 tff(21512,plain,
% 16.30/11.45 ((~((~v39(constB27)) <=> v1(constB27))) | v39(constB27) | v1(constB27)),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21513,plain,
% 16.30/11.45 ((~((~v39(constB27)) <=> v1(constB27))) | v39(constB27)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21512, 1411])).
% 16.30/11.45 tff(21514,plain,
% 16.30/11.45 (v39(constB27)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21513, 21511])).
% 16.30/11.45 tff(21515,plain,
% 16.30/11.45 ((~((~v39(constB27)) | (~v9(constB27)))) | (~v39(constB27)) | (~v9(constB27))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21516,plain,
% 16.30/11.45 ((~((~v39(constB27)) | (~v9(constB27)))) | (~v9(constB27))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21515, 21514])).
% 16.30/11.45 tff(21517,plain,
% 16.30/11.45 (~((~v39(constB27)) | (~v9(constB27)))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21516, 21509])).
% 16.30/11.45 tff(21518,plain,
% 16.30/11.45 ((~(v141(constB27) <=> (~((~v39(constB27)) | (~v9(constB27)))))) | v141(constB27) | ((~v39(constB27)) | (~v9(constB27)))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21519,plain,
% 16.30/11.45 (v141(constB27)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21518, 21517, 21469])).
% 16.30/11.45 tff(21520,plain,
% 16.30/11.45 ((v141(constB27) | v26(constB27)) | (~v141(constB27))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21521,plain,
% 16.30/11.45 (v141(constB27) | v26(constB27)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21520, 21519])).
% 16.30/11.45 tff(21522,plain,
% 16.30/11.45 ((~(v140(constB27) <=> (v141(constB27) | v26(constB27)))) | v140(constB27) | (~(v141(constB27) | v26(constB27)))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21523,plain,
% 16.30/11.45 (v140(constB27)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21522, 21521, 21467])).
% 16.30/11.45 tff(21524,plain,
% 16.30/11.45 ((~((~v139(constB27)) <=> v140(constB27))) | (~v139(constB27)) | (~v140(constB27))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21525,plain,
% 16.30/11.45 (~v139(constB27)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21524, 21523, 21465])).
% 16.30/11.45 tff(21526,plain,
% 16.30/11.45 (((~v128(constB27)) | (~v139(constB27))) | v139(constB27)),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21527,plain,
% 16.30/11.45 ((~v128(constB27)) | (~v139(constB27))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21526, 21525])).
% 16.30/11.45 tff(21528,plain,
% 16.30/11.45 ((~(v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27)))))) | (~v163(constB27)) | (~((~v128(constB27)) | (~v139(constB27))))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21529,plain,
% 16.30/11.45 (~v163(constB27)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21528, 21527, 21463])).
% 16.30/11.45 tff(21530,plain,
% 16.30/11.45 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v130(constB27)) | (~v155(constB27)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v130(constB27)) | (~v155(constB27))))))),
% 16.30/11.45 inference(rewrite,[status(thm)],[])).
% 16.30/11.45 tff(21531,plain,
% 16.30/11.45 ((v164(constB27) <=> (~((~v155(constB27)) | (~v130(constB27))))) <=> (v164(constB27) <=> (~((~v130(constB27)) | (~v155(constB27)))))),
% 16.30/11.45 inference(rewrite,[status(thm)],[])).
% 16.30/11.45 tff(21532,plain,
% 16.30/11.45 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v155(constB27)) | (~v130(constB27)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v130(constB27)) | (~v155(constB27))))))),
% 16.30/11.45 inference(monotonicity,[status(thm)],[21531])).
% 16.30/11.45 tff(21533,plain,
% 16.30/11.45 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v155(constB27)) | (~v130(constB27)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v130(constB27)) | (~v155(constB27))))))),
% 16.30/11.45 inference(transitivity,[status(thm)],[21532, 21530])).
% 16.30/11.45 tff(21534,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v155(constB27)) | (~v130(constB27)))))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21535,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v130(constB27)) | (~v155(constB27)))))),
% 16.30/11.45 inference(modus_ponens,[status(thm)],[21534, 21533])).
% 16.30/11.45 tff(21536,plain,
% 16.30/11.45 (v164(constB27) <=> (~((~v130(constB27)) | (~v155(constB27))))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21535, 96])).
% 16.30/11.45 tff(21537,plain,
% 16.30/11.45 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB27) <=> v152(constB27))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21538,plain,
% 16.30/11.45 (v130(constB27) <=> v152(constB27)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21537, 361])).
% 16.30/11.45 tff(21539,plain,
% 16.30/11.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB26, constB27)) | (v152(constB27) <=> v150(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB26, constB27)) | (v152(constB27) <=> v150(constB26)))),
% 16.30/11.45 inference(rewrite,[status(thm)],[])).
% 16.30/11.45 tff(21540,plain,
% 16.30/11.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB26, constB27)) | (v152(constB27) <=> v150(constB26)))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21541,plain,
% 16.30/11.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB26, constB27)) | (v152(constB27) <=> v150(constB26))),
% 16.30/11.45 inference(modus_ponens,[status(thm)],[21540, 21539])).
% 16.30/11.45 tff(21542,plain,
% 16.30/11.45 (v152(constB27) <=> v150(constB26)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21541, 1397, 373])).
% 16.30/11.45 tff(21543,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB26) <=> (v153(constB26) | v154(constB26)))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21544,plain,
% 16.30/11.45 (v150(constB26) <=> (v153(constB26) | v154(constB26))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21543, 387])).
% 16.30/11.45 tff(21545,plain,
% 16.30/11.45 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB26) <=> (~((~v132(constB26)) | (~v155(constB26)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB26) <=> (~((~v132(constB26)) | (~v155(constB26))))))),
% 16.30/11.45 inference(rewrite,[status(thm)],[])).
% 16.30/11.45 tff(21546,plain,
% 16.30/11.45 ((v154(constB26) <=> (~((~v155(constB26)) | (~v132(constB26))))) <=> (v154(constB26) <=> (~((~v132(constB26)) | (~v155(constB26)))))),
% 16.30/11.45 inference(rewrite,[status(thm)],[])).
% 16.30/11.45 tff(21547,plain,
% 16.30/11.45 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB26) <=> (~((~v155(constB26)) | (~v132(constB26)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB26) <=> (~((~v132(constB26)) | (~v155(constB26))))))),
% 16.30/11.45 inference(monotonicity,[status(thm)],[21546])).
% 16.30/11.45 tff(21548,plain,
% 16.30/11.45 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB26) <=> (~((~v155(constB26)) | (~v132(constB26)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB26) <=> (~((~v132(constB26)) | (~v155(constB26))))))),
% 16.30/11.45 inference(transitivity,[status(thm)],[21547, 21545])).
% 16.30/11.45 tff(21549,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB26) <=> (~((~v155(constB26)) | (~v132(constB26)))))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21550,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB26) <=> (~((~v132(constB26)) | (~v155(constB26)))))),
% 16.30/11.45 inference(modus_ponens,[status(thm)],[21549, 21548])).
% 16.30/11.45 tff(21551,plain,
% 16.30/11.45 (v154(constB26) <=> (~((~v132(constB26)) | (~v155(constB26))))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21550, 399])).
% 16.30/11.45 tff(21552,plain,
% 16.30/11.45 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB26) <=> (~((~v141(constB26)) | (~v143(constB26)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB26) <=> (~((~v141(constB26)) | (~v143(constB26))))))),
% 16.30/11.45 inference(rewrite,[status(thm)],[])).
% 16.30/11.45 tff(21553,plain,
% 16.30/11.45 ((v155(constB26) <=> (~((~v143(constB26)) | (~v141(constB26))))) <=> (v155(constB26) <=> (~((~v141(constB26)) | (~v143(constB26)))))),
% 16.30/11.45 inference(rewrite,[status(thm)],[])).
% 16.30/11.45 tff(21554,plain,
% 16.30/11.45 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB26) <=> (~((~v143(constB26)) | (~v141(constB26)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB26) <=> (~((~v141(constB26)) | (~v143(constB26))))))),
% 16.30/11.45 inference(monotonicity,[status(thm)],[21553])).
% 16.30/11.45 tff(21555,plain,
% 16.30/11.45 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB26) <=> (~((~v143(constB26)) | (~v141(constB26)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB26) <=> (~((~v141(constB26)) | (~v143(constB26))))))),
% 16.30/11.45 inference(transitivity,[status(thm)],[21554, 21552])).
% 16.30/11.45 tff(21556,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB26) <=> (~((~v143(constB26)) | (~v141(constB26)))))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21557,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB26) <=> (~((~v141(constB26)) | (~v143(constB26)))))),
% 16.30/11.45 inference(modus_ponens,[status(thm)],[21556, 21555])).
% 16.30/11.45 tff(21558,plain,
% 16.30/11.45 (v155(constB26) <=> (~((~v141(constB26)) | (~v143(constB26))))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21557, 113])).
% 16.30/11.45 tff(21559,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21560,plain,
% 16.30/11.45 (v141(constB26) <=> (~((~v39(constB26)) | (~v9(constB26))))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21559, 130])).
% 16.30/11.45 tff(21561,plain,
% 16.30/11.45 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB26)) <=> v1(constB26))),
% 16.30/11.45 inference(quant_inst,[status(thm)],[])).
% 16.30/11.45 tff(21562,plain,
% 16.30/11.45 ((~v39(constB26)) <=> v1(constB26)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21561, 139])).
% 16.30/11.45 tff(21563,plain,
% 16.30/11.45 ((~((~v39(constB26)) <=> v1(constB26))) | (~v39(constB26)) | (~v1(constB26))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21564,plain,
% 16.30/11.45 ((~((~v39(constB26)) <=> v1(constB26))) | (~v39(constB26))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21563, 4462])).
% 16.30/11.45 tff(21565,plain,
% 16.30/11.45 (~v39(constB26)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21564, 21562])).
% 16.30/11.45 tff(21566,plain,
% 16.30/11.45 (((~v39(constB26)) | (~v9(constB26))) | v39(constB26)),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21567,plain,
% 16.30/11.45 ((~v39(constB26)) | (~v9(constB26))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21566, 21565])).
% 16.30/11.45 tff(21568,plain,
% 16.30/11.45 ((~(v141(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))) | (~v141(constB26)) | (~((~v39(constB26)) | (~v9(constB26))))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21569,plain,
% 16.30/11.45 ((~(v141(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))) | (~v141(constB26))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21568, 21567])).
% 16.30/11.45 tff(21570,plain,
% 16.30/11.45 (~v141(constB26)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21569, 21560])).
% 16.30/11.45 tff(21571,plain,
% 16.30/11.45 (((~v141(constB26)) | (~v143(constB26))) | v141(constB26)),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21572,plain,
% 16.30/11.45 ((~v141(constB26)) | (~v143(constB26))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21571, 21570])).
% 16.30/11.45 tff(21573,plain,
% 16.30/11.45 ((~(v155(constB26) <=> (~((~v141(constB26)) | (~v143(constB26)))))) | (~v155(constB26)) | (~((~v141(constB26)) | (~v143(constB26))))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21574,plain,
% 16.30/11.45 ((~(v155(constB26) <=> (~((~v141(constB26)) | (~v143(constB26)))))) | (~v155(constB26))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21573, 21572])).
% 16.30/11.45 tff(21575,plain,
% 16.30/11.45 (~v155(constB26)),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21574, 21558])).
% 16.30/11.45 tff(21576,plain,
% 16.30/11.45 (((~v132(constB26)) | (~v155(constB26))) | v155(constB26)),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.45 tff(21577,plain,
% 16.30/11.45 ((~v132(constB26)) | (~v155(constB26))),
% 16.30/11.45 inference(unit_resolution,[status(thm)],[21576, 21575])).
% 16.30/11.45 tff(21578,plain,
% 16.30/11.45 ((~(v154(constB26) <=> (~((~v132(constB26)) | (~v155(constB26)))))) | (~v154(constB26)) | (~((~v132(constB26)) | (~v155(constB26))))),
% 16.30/11.45 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21579,plain,
% 16.30/11.46 (~v154(constB26)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21578, 21577, 21551])).
% 16.30/11.46 tff(21580,plain,
% 16.30/11.46 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB26) <=> (~((~v130(constB26)) | (~v139(constB26)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB26) <=> (~((~v130(constB26)) | (~v139(constB26))))))),
% 16.30/11.46 inference(rewrite,[status(thm)],[])).
% 16.30/11.46 tff(21581,plain,
% 16.30/11.46 ((v153(constB26) <=> (~((~v139(constB26)) | (~v130(constB26))))) <=> (v153(constB26) <=> (~((~v130(constB26)) | (~v139(constB26)))))),
% 16.30/11.46 inference(rewrite,[status(thm)],[])).
% 16.30/11.46 tff(21582,plain,
% 16.30/11.46 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB26) <=> (~((~v139(constB26)) | (~v130(constB26)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB26) <=> (~((~v130(constB26)) | (~v139(constB26))))))),
% 16.30/11.46 inference(monotonicity,[status(thm)],[21581])).
% 16.30/11.46 tff(21583,plain,
% 16.30/11.46 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB26) <=> (~((~v139(constB26)) | (~v130(constB26)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB26) <=> (~((~v130(constB26)) | (~v139(constB26))))))),
% 16.30/11.46 inference(transitivity,[status(thm)],[21582, 21580])).
% 16.30/11.46 tff(21584,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB26) <=> (~((~v139(constB26)) | (~v130(constB26)))))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21585,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB26) <=> (~((~v130(constB26)) | (~v139(constB26)))))),
% 16.30/11.46 inference(modus_ponens,[status(thm)],[21584, 21583])).
% 16.30/11.46 tff(21586,plain,
% 16.30/11.46 (v153(constB26) <=> (~((~v130(constB26)) | (~v139(constB26))))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21585, 447])).
% 16.30/11.46 tff(21587,plain,
% 16.30/11.46 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB26) <=> v152(constB26))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21588,plain,
% 16.30/11.46 (v130(constB26) <=> v152(constB26)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21587, 361])).
% 16.30/11.46 tff(21589,plain,
% 16.30/11.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB25, constB26)) | (v152(constB26) <=> v150(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB25, constB26)) | (v152(constB26) <=> v150(constB25)))),
% 16.30/11.46 inference(rewrite,[status(thm)],[])).
% 16.30/11.46 tff(21590,plain,
% 16.30/11.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB25, constB26)) | (v152(constB26) <=> v150(constB25)))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21591,plain,
% 16.30/11.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB25, constB26)) | (v152(constB26) <=> v150(constB25))),
% 16.30/11.46 inference(modus_ponens,[status(thm)],[21590, 21589])).
% 16.30/11.46 tff(21592,plain,
% 16.30/11.46 (v152(constB26) <=> v150(constB25)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21591, 1433, 373])).
% 16.30/11.46 tff(21593,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB25) <=> (v153(constB25) | v154(constB25)))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21594,plain,
% 16.30/11.46 (v150(constB25) <=> (v153(constB25) | v154(constB25))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21593, 387])).
% 16.30/11.46 tff(21595,plain,
% 16.30/11.46 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB25) <=> (~((~v130(constB25)) | (~v139(constB25)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB25) <=> (~((~v130(constB25)) | (~v139(constB25))))))),
% 16.30/11.46 inference(rewrite,[status(thm)],[])).
% 16.30/11.46 tff(21596,plain,
% 16.30/11.46 ((v153(constB25) <=> (~((~v139(constB25)) | (~v130(constB25))))) <=> (v153(constB25) <=> (~((~v130(constB25)) | (~v139(constB25)))))),
% 16.30/11.46 inference(rewrite,[status(thm)],[])).
% 16.30/11.46 tff(21597,plain,
% 16.30/11.46 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB25) <=> (~((~v139(constB25)) | (~v130(constB25)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB25) <=> (~((~v130(constB25)) | (~v139(constB25))))))),
% 16.30/11.46 inference(monotonicity,[status(thm)],[21596])).
% 16.30/11.46 tff(21598,plain,
% 16.30/11.46 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB25) <=> (~((~v139(constB25)) | (~v130(constB25)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB25) <=> (~((~v130(constB25)) | (~v139(constB25))))))),
% 16.30/11.46 inference(transitivity,[status(thm)],[21597, 21595])).
% 16.30/11.46 tff(21599,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB25) <=> (~((~v139(constB25)) | (~v130(constB25)))))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21600,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB25) <=> (~((~v130(constB25)) | (~v139(constB25)))))),
% 16.30/11.46 inference(modus_ponens,[status(thm)],[21599, 21598])).
% 16.30/11.46 tff(21601,plain,
% 16.30/11.46 (v153(constB25) <=> (~((~v130(constB25)) | (~v139(constB25))))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21600, 447])).
% 16.30/11.46 tff(21602,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB25)) <=> v140(constB25))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21603,plain,
% 16.30/11.46 ((~v139(constB25)) <=> v140(constB25)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21602, 203])).
% 16.30/11.46 tff(21604,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB25) <=> (v141(constB25) | v26(constB25)))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21605,plain,
% 16.30/11.46 (v140(constB25) <=> (v141(constB25) | v26(constB25))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21604, 212])).
% 16.30/11.46 tff(21606,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB25) <=> (~((~v39(constB25)) | (~v9(constB25)))))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21607,plain,
% 16.30/11.46 (v141(constB25) <=> (~((~v39(constB25)) | (~v9(constB25))))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21606, 130])).
% 16.30/11.46 tff(21608,plain,
% 16.30/11.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25)))),
% 16.30/11.46 inference(rewrite,[status(thm)],[])).
% 16.30/11.46 tff(21609,plain,
% 16.30/11.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25)))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21610,plain,
% 16.30/11.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25))),
% 16.30/11.46 inference(modus_ponens,[status(thm)],[21609, 21608])).
% 16.30/11.46 tff(21611,plain,
% 16.30/11.46 (v13(constB26) <=> v9(constB25)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21610, 1433, 226])).
% 16.30/11.46 tff(21612,plain,
% 16.30/11.46 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB26) <=> v13(constB26))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21613,plain,
% 16.30/11.46 (v6(constB26) <=> v13(constB26)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21612, 240])).
% 16.30/11.46 tff(21614,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB26)) <=> v6(constB26))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21615,plain,
% 16.30/11.46 ((~v21(constB26)) <=> v6(constB26)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21614, 249])).
% 16.30/11.46 tff(21616,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB26) <=> (v20(constB26) | v21(constB26)))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21617,plain,
% 16.30/11.46 (v19(constB26) <=> (v20(constB26) | v21(constB26))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21616, 258])).
% 16.30/11.46 tff(21618,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26)))))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21619,plain,
% 16.30/11.46 (v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26))))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21618, 270])).
% 16.30/11.46 tff(21620,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB26)) <=> v18(constB26))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21621,plain,
% 16.30/11.46 ((~v4(constB26)) <=> v18(constB26)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21620, 279])).
% 16.30/11.46 tff(21622,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB26)),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21623,plain,
% 16.30/11.46 (v4(constB26)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21622, 288])).
% 16.30/11.46 tff(21624,plain,
% 16.30/11.46 ((~((~v4(constB26)) <=> v18(constB26))) | (~v4(constB26)) | (~v18(constB26))),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21625,plain,
% 16.30/11.46 (~v18(constB26)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21624, 21623, 21621])).
% 16.30/11.46 tff(21626,plain,
% 16.30/11.46 ((~(v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26)))))) | v18(constB26) | ((~v19(constB26)) | (~v22(constB26)))),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21627,plain,
% 16.30/11.46 ((~v19(constB26)) | (~v22(constB26))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21626, 21625, 21619])).
% 16.30/11.46 tff(21628,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB26) <=> (v1(constB26) | v6(constB26)))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21629,plain,
% 16.30/11.46 (v22(constB26) <=> (v1(constB26) | v6(constB26))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21628, 301])).
% 16.30/11.46 tff(21630,plain,
% 16.30/11.46 ((v1(constB26) | v6(constB26)) | (~v1(constB26))),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21631,plain,
% 16.30/11.46 (v1(constB26) | v6(constB26)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21630, 4462])).
% 16.30/11.46 tff(21632,plain,
% 16.30/11.46 ((~(v22(constB26) <=> (v1(constB26) | v6(constB26)))) | v22(constB26) | (~(v1(constB26) | v6(constB26)))),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21633,plain,
% 16.30/11.46 ((~(v22(constB26) <=> (v1(constB26) | v6(constB26)))) | v22(constB26)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21632, 21631])).
% 16.30/11.46 tff(21634,plain,
% 16.30/11.46 (v22(constB26)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21633, 21629])).
% 16.30/11.46 tff(21635,plain,
% 16.30/11.46 ((~((~v19(constB26)) | (~v22(constB26)))) | (~v19(constB26)) | (~v22(constB26))),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21636,plain,
% 16.30/11.46 ((~((~v19(constB26)) | (~v22(constB26)))) | (~v19(constB26))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21635, 21634])).
% 16.30/11.46 tff(21637,plain,
% 16.30/11.46 (~v19(constB26)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21636, 21627])).
% 16.30/11.46 tff(21638,plain,
% 16.30/11.46 ((~(v19(constB26) <=> (v20(constB26) | v21(constB26)))) | v19(constB26) | (~(v20(constB26) | v21(constB26)))),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21639,plain,
% 16.30/11.46 (~(v20(constB26) | v21(constB26))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21638, 21637, 21617])).
% 16.30/11.46 tff(21640,plain,
% 16.30/11.46 ((v20(constB26) | v21(constB26)) | (~v21(constB26))),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21641,plain,
% 16.30/11.46 (~v21(constB26)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21640, 21639])).
% 16.30/11.46 tff(21642,plain,
% 16.30/11.46 ((~((~v21(constB26)) <=> v6(constB26))) | v21(constB26) | v6(constB26)),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21643,plain,
% 16.30/11.46 (v6(constB26)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21642, 21641, 21615])).
% 16.30/11.46 tff(21644,plain,
% 16.30/11.46 ((~(v6(constB26) <=> v13(constB26))) | (~v6(constB26)) | v13(constB26)),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21645,plain,
% 16.30/11.46 (v13(constB26)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21644, 21643, 21613])).
% 16.30/11.46 tff(21646,plain,
% 16.30/11.46 ((~(v13(constB26) <=> v9(constB25))) | (~v13(constB26)) | v9(constB25)),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21647,plain,
% 16.30/11.46 (v9(constB25)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21646, 21645, 21611])).
% 16.30/11.46 tff(21648,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB25)) <=> v1(constB25))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21649,plain,
% 16.30/11.46 ((~v39(constB25)) <=> v1(constB25)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21648, 139])).
% 16.30/11.46 tff(21650,plain,
% 16.30/11.46 ((~((~v39(constB25)) <=> v1(constB25))) | v39(constB25) | v1(constB25)),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21651,plain,
% 16.30/11.46 ((~((~v39(constB25)) <=> v1(constB25))) | v39(constB25)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21650, 1485])).
% 16.30/11.46 tff(21652,plain,
% 16.30/11.46 (v39(constB25)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21651, 21649])).
% 16.30/11.46 tff(21653,plain,
% 16.30/11.46 ((~((~v39(constB25)) | (~v9(constB25)))) | (~v39(constB25)) | (~v9(constB25))),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21654,plain,
% 16.30/11.46 ((~((~v39(constB25)) | (~v9(constB25)))) | (~v9(constB25))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21653, 21652])).
% 16.30/11.46 tff(21655,plain,
% 16.30/11.46 (~((~v39(constB25)) | (~v9(constB25)))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21654, 21647])).
% 16.30/11.46 tff(21656,plain,
% 16.30/11.46 ((~(v141(constB25) <=> (~((~v39(constB25)) | (~v9(constB25)))))) | v141(constB25) | ((~v39(constB25)) | (~v9(constB25)))),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21657,plain,
% 16.30/11.46 (v141(constB25)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21656, 21655, 21607])).
% 16.30/11.46 tff(21658,plain,
% 16.30/11.46 ((v141(constB25) | v26(constB25)) | (~v141(constB25))),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21659,plain,
% 16.30/11.46 (v141(constB25) | v26(constB25)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21658, 21657])).
% 16.30/11.46 tff(21660,plain,
% 16.30/11.46 ((~(v140(constB25) <=> (v141(constB25) | v26(constB25)))) | v140(constB25) | (~(v141(constB25) | v26(constB25)))),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21661,plain,
% 16.30/11.46 (v140(constB25)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21660, 21659, 21605])).
% 16.30/11.46 tff(21662,plain,
% 16.30/11.46 ((~((~v139(constB25)) <=> v140(constB25))) | (~v139(constB25)) | (~v140(constB25))),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21663,plain,
% 16.30/11.46 (~v139(constB25)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21662, 21661, 21603])).
% 16.30/11.46 tff(21664,plain,
% 16.30/11.46 (((~v130(constB25)) | (~v139(constB25))) | v139(constB25)),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21665,plain,
% 16.30/11.46 ((~v130(constB25)) | (~v139(constB25))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21664, 21663])).
% 16.30/11.46 tff(21666,plain,
% 16.30/11.46 ((~(v153(constB25) <=> (~((~v130(constB25)) | (~v139(constB25)))))) | (~v153(constB25)) | (~((~v130(constB25)) | (~v139(constB25))))),
% 16.30/11.46 inference(tautology,[status(thm)],[])).
% 16.30/11.46 tff(21667,plain,
% 16.30/11.46 (~v153(constB25)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21666, 21665, 21601])).
% 16.30/11.46 tff(21668,plain,
% 16.30/11.46 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB25) <=> (~((~v132(constB25)) | (~v155(constB25)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB25) <=> (~((~v132(constB25)) | (~v155(constB25))))))),
% 16.30/11.46 inference(rewrite,[status(thm)],[])).
% 16.30/11.46 tff(21669,plain,
% 16.30/11.46 ((v154(constB25) <=> (~((~v155(constB25)) | (~v132(constB25))))) <=> (v154(constB25) <=> (~((~v132(constB25)) | (~v155(constB25)))))),
% 16.30/11.46 inference(rewrite,[status(thm)],[])).
% 16.30/11.46 tff(21670,plain,
% 16.30/11.46 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB25) <=> (~((~v155(constB25)) | (~v132(constB25)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB25) <=> (~((~v132(constB25)) | (~v155(constB25))))))),
% 16.30/11.46 inference(monotonicity,[status(thm)],[21669])).
% 16.30/11.46 tff(21671,plain,
% 16.30/11.46 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB25) <=> (~((~v155(constB25)) | (~v132(constB25)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB25) <=> (~((~v132(constB25)) | (~v155(constB25))))))),
% 16.30/11.46 inference(transitivity,[status(thm)],[21670, 21668])).
% 16.30/11.46 tff(21672,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB25) <=> (~((~v155(constB25)) | (~v132(constB25)))))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21673,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB25) <=> (~((~v132(constB25)) | (~v155(constB25)))))),
% 16.30/11.46 inference(modus_ponens,[status(thm)],[21672, 21671])).
% 16.30/11.46 tff(21674,plain,
% 16.30/11.46 (v154(constB25) <=> (~((~v132(constB25)) | (~v155(constB25))))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21673, 399])).
% 16.30/11.46 tff(21675,plain,
% 16.30/11.46 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB25) <=> v137(constB25))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21676,plain,
% 16.30/11.46 (v132(constB25) <=> v137(constB25)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21675, 558])).
% 16.30/11.46 tff(21677,plain,
% 16.30/11.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB24, constB25)) | (v137(constB25) <=> v135(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB24, constB25)) | (v137(constB25) <=> v135(constB24)))),
% 16.30/11.46 inference(rewrite,[status(thm)],[])).
% 16.30/11.46 tff(21678,plain,
% 16.30/11.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB24, constB25)) | (v137(constB25) <=> v135(constB24)))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21679,plain,
% 16.30/11.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB24, constB25)) | (v137(constB25) <=> v135(constB24))),
% 16.30/11.46 inference(modus_ponens,[status(thm)],[21678, 21677])).
% 16.30/11.46 tff(21680,plain,
% 16.30/11.46 (v137(constB25) <=> v135(constB24)),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21679, 1471, 570])).
% 16.30/11.46 tff(21681,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB24) <=> (v138(constB24) | v142(constB24)))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21682,plain,
% 16.30/11.46 (v135(constB24) <=> (v138(constB24) | v142(constB24))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21681, 584])).
% 16.30/11.46 tff(21683,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB24) <=> (~((~v143(constB24)) | (~v144(constB24)))))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21684,plain,
% 16.30/11.46 (v142(constB24) <=> (~((~v143(constB24)) | (~v144(constB24))))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21683, 596])).
% 16.30/11.46 tff(21685,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB24) <=> (~((~v141(constB24)) | (~v145(constB24)))))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21686,plain,
% 16.30/11.46 (v144(constB24) <=> (~((~v141(constB24)) | (~v145(constB24))))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21685, 608])).
% 16.30/11.46 tff(21687,plain,
% 16.30/11.46 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB24) <=> (~((~v39(constB24)) | (~v9(constB24)))))),
% 16.30/11.46 inference(quant_inst,[status(thm)],[])).
% 16.30/11.46 tff(21688,plain,
% 16.30/11.46 (v141(constB24) <=> (~((~v39(constB24)) | (~v9(constB24))))),
% 16.30/11.46 inference(unit_resolution,[status(thm)],[21687, 130])).
% 16.30/11.46 tff(21689,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB24)) <=> v1(constB24))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21690,plain,
% 16.30/11.47 ((~v39(constB24)) <=> v1(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21689, 139])).
% 16.30/11.47 tff(21691,plain,
% 16.30/11.47 ((~((~v39(constB24)) <=> v1(constB24))) | (~v39(constB24)) | (~v1(constB24))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21692,plain,
% 16.30/11.47 ((~((~v39(constB24)) <=> v1(constB24))) | (~v39(constB24))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21691, 4289])).
% 16.30/11.47 tff(21693,plain,
% 16.30/11.47 (~v39(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21692, 21690])).
% 16.30/11.47 tff(21694,plain,
% 16.30/11.47 (((~v39(constB24)) | (~v9(constB24))) | v39(constB24)),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21695,plain,
% 16.30/11.47 ((~v39(constB24)) | (~v9(constB24))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21694, 21693])).
% 16.30/11.47 tff(21696,plain,
% 16.30/11.47 ((~(v141(constB24) <=> (~((~v39(constB24)) | (~v9(constB24)))))) | (~v141(constB24)) | (~((~v39(constB24)) | (~v9(constB24))))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21697,plain,
% 16.30/11.47 ((~(v141(constB24) <=> (~((~v39(constB24)) | (~v9(constB24)))))) | (~v141(constB24))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21696, 21695])).
% 16.30/11.47 tff(21698,plain,
% 16.30/11.47 (~v141(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21697, 21688])).
% 16.30/11.47 tff(21699,plain,
% 16.30/11.47 (((~v141(constB24)) | (~v145(constB24))) | v141(constB24)),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21700,plain,
% 16.30/11.47 ((~v141(constB24)) | (~v145(constB24))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21699, 21698])).
% 16.30/11.47 tff(21701,plain,
% 16.30/11.47 ((~(v144(constB24) <=> (~((~v141(constB24)) | (~v145(constB24)))))) | (~v144(constB24)) | (~((~v141(constB24)) | (~v145(constB24))))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21702,plain,
% 16.30/11.47 ((~(v144(constB24) <=> (~((~v141(constB24)) | (~v145(constB24)))))) | (~v144(constB24))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21701, 21700])).
% 16.30/11.47 tff(21703,plain,
% 16.30/11.47 (~v144(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21702, 21686])).
% 16.30/11.47 tff(21704,plain,
% 16.30/11.47 (((~v143(constB24)) | (~v144(constB24))) | v144(constB24)),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21705,plain,
% 16.30/11.47 ((~v143(constB24)) | (~v144(constB24))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21704, 21703])).
% 16.30/11.47 tff(21706,plain,
% 16.30/11.47 ((~(v142(constB24) <=> (~((~v143(constB24)) | (~v144(constB24)))))) | (~v142(constB24)) | (~((~v143(constB24)) | (~v144(constB24))))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21707,plain,
% 16.30/11.47 (~v142(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21706, 21705, 21684])).
% 16.30/11.47 tff(21708,plain,
% 16.30/11.47 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24))))))),
% 16.30/11.47 inference(rewrite,[status(thm)],[])).
% 16.30/11.47 tff(21709,plain,
% 16.30/11.47 ((v138(constB24) <=> (~((~v139(constB24)) | (~v132(constB24))))) <=> (v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24)))))),
% 16.30/11.47 inference(rewrite,[status(thm)],[])).
% 16.30/11.47 tff(21710,plain,
% 16.30/11.47 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v139(constB24)) | (~v132(constB24)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24))))))),
% 16.30/11.47 inference(monotonicity,[status(thm)],[21709])).
% 16.30/11.47 tff(21711,plain,
% 16.30/11.47 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v139(constB24)) | (~v132(constB24)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24))))))),
% 16.30/11.47 inference(transitivity,[status(thm)],[21710, 21708])).
% 16.30/11.47 tff(21712,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v139(constB24)) | (~v132(constB24)))))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21713,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24)))))),
% 16.30/11.47 inference(modus_ponens,[status(thm)],[21712, 21711])).
% 16.30/11.47 tff(21714,plain,
% 16.30/11.47 (v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24))))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21713, 644])).
% 16.30/11.47 tff(21715,plain,
% 16.30/11.47 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB24) <=> v137(constB24))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21716,plain,
% 16.30/11.47 (v132(constB24) <=> v137(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21715, 558])).
% 16.30/11.47 tff(21717,plain,
% 16.30/11.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB23, constB24)) | (v137(constB24) <=> v135(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB23, constB24)) | (v137(constB24) <=> v135(constB23)))),
% 16.30/11.47 inference(rewrite,[status(thm)],[])).
% 16.30/11.47 tff(21718,plain,
% 16.30/11.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB23, constB24)) | (v137(constB24) <=> v135(constB23)))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21719,plain,
% 16.30/11.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB23, constB24)) | (v137(constB24) <=> v135(constB23))),
% 16.30/11.47 inference(modus_ponens,[status(thm)],[21718, 21717])).
% 16.30/11.47 tff(21720,plain,
% 16.30/11.47 (v137(constB24) <=> v135(constB23)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21719, 1507, 570])).
% 16.30/11.47 tff(21721,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB23) <=> (v138(constB23) | v142(constB23)))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21722,plain,
% 16.30/11.47 (v135(constB23) <=> (v138(constB23) | v142(constB23))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21721, 584])).
% 16.30/11.47 tff(21723,plain,
% 16.30/11.47 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23))))))),
% 16.30/11.47 inference(rewrite,[status(thm)],[])).
% 16.30/11.47 tff(21724,plain,
% 16.30/11.47 ((v138(constB23) <=> (~((~v139(constB23)) | (~v132(constB23))))) <=> (v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23)))))),
% 16.30/11.47 inference(rewrite,[status(thm)],[])).
% 16.30/11.47 tff(21725,plain,
% 16.30/11.47 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v139(constB23)) | (~v132(constB23)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23))))))),
% 16.30/11.47 inference(monotonicity,[status(thm)],[21724])).
% 16.30/11.47 tff(21726,plain,
% 16.30/11.47 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v139(constB23)) | (~v132(constB23)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23))))))),
% 16.30/11.47 inference(transitivity,[status(thm)],[21725, 21723])).
% 16.30/11.47 tff(21727,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v139(constB23)) | (~v132(constB23)))))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21728,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23)))))),
% 16.30/11.47 inference(modus_ponens,[status(thm)],[21727, 21726])).
% 16.30/11.47 tff(21729,plain,
% 16.30/11.47 (v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23))))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21728, 644])).
% 16.30/11.47 tff(21730,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB23)) <=> v140(constB23))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21731,plain,
% 16.30/11.47 ((~v139(constB23)) <=> v140(constB23)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21730, 203])).
% 16.30/11.47 tff(21732,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB23) <=> (v141(constB23) | v26(constB23)))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21733,plain,
% 16.30/11.47 (v140(constB23) <=> (v141(constB23) | v26(constB23))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21732, 212])).
% 16.30/11.47 tff(21734,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB23) <=> (~((~v39(constB23)) | (~v9(constB23)))))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21735,plain,
% 16.30/11.47 (v141(constB23) <=> (~((~v39(constB23)) | (~v9(constB23))))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21734, 130])).
% 16.30/11.47 tff(21736,plain,
% 16.30/11.47 (((~![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)))),
% 16.30/11.47 inference(rewrite,[status(thm)],[])).
% 16.30/11.47 tff(21737,plain,
% 16.30/11.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB23, constB24)) | (v13(constB24) <=> v9(constB23)))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21738,plain,
% 16.30/11.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB23, constB24)) | (v13(constB24) <=> v9(constB23))),
% 16.30/11.47 inference(modus_ponens,[status(thm)],[21737, 21736])).
% 16.30/11.47 tff(21739,plain,
% 16.30/11.47 (v13(constB24) <=> v9(constB23)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21738, 1507, 226])).
% 16.30/11.47 tff(21740,plain,
% 16.30/11.47 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB24) <=> v13(constB24))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21741,plain,
% 16.30/11.47 (v6(constB24) <=> v13(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21740, 240])).
% 16.30/11.47 tff(21742,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB24)) <=> v6(constB24))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21743,plain,
% 16.30/11.47 ((~v21(constB24)) <=> v6(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21742, 249])).
% 16.30/11.47 tff(21744,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB24) <=> (v20(constB24) | v21(constB24)))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21745,plain,
% 16.30/11.47 (v19(constB24) <=> (v20(constB24) | v21(constB24))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21744, 258])).
% 16.30/11.47 tff(21746,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB24) <=> (~((~v19(constB24)) | (~v22(constB24)))))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21747,plain,
% 16.30/11.47 (v18(constB24) <=> (~((~v19(constB24)) | (~v22(constB24))))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21746, 270])).
% 16.30/11.47 tff(21748,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB24)) <=> v18(constB24))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21749,plain,
% 16.30/11.47 ((~v4(constB24)) <=> v18(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21748, 279])).
% 16.30/11.47 tff(21750,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB24)),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21751,plain,
% 16.30/11.47 (v4(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21750, 288])).
% 16.30/11.47 tff(21752,plain,
% 16.30/11.47 ((~((~v4(constB24)) <=> v18(constB24))) | (~v4(constB24)) | (~v18(constB24))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21753,plain,
% 16.30/11.47 (~v18(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21752, 21751, 21749])).
% 16.30/11.47 tff(21754,plain,
% 16.30/11.47 ((~(v18(constB24) <=> (~((~v19(constB24)) | (~v22(constB24)))))) | v18(constB24) | ((~v19(constB24)) | (~v22(constB24)))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21755,plain,
% 16.30/11.47 ((~v19(constB24)) | (~v22(constB24))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21754, 21753, 21747])).
% 16.30/11.47 tff(21756,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB24) <=> (v1(constB24) | v6(constB24)))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21757,plain,
% 16.30/11.47 (v22(constB24) <=> (v1(constB24) | v6(constB24))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21756, 301])).
% 16.30/11.47 tff(21758,plain,
% 16.30/11.47 ((v1(constB24) | v6(constB24)) | (~v1(constB24))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21759,plain,
% 16.30/11.47 (v1(constB24) | v6(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21758, 4289])).
% 16.30/11.47 tff(21760,plain,
% 16.30/11.47 ((~(v22(constB24) <=> (v1(constB24) | v6(constB24)))) | v22(constB24) | (~(v1(constB24) | v6(constB24)))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21761,plain,
% 16.30/11.47 ((~(v22(constB24) <=> (v1(constB24) | v6(constB24)))) | v22(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21760, 21759])).
% 16.30/11.47 tff(21762,plain,
% 16.30/11.47 (v22(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21761, 21757])).
% 16.30/11.47 tff(21763,plain,
% 16.30/11.47 ((~((~v19(constB24)) | (~v22(constB24)))) | (~v19(constB24)) | (~v22(constB24))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21764,plain,
% 16.30/11.47 ((~((~v19(constB24)) | (~v22(constB24)))) | (~v19(constB24))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21763, 21762])).
% 16.30/11.47 tff(21765,plain,
% 16.30/11.47 (~v19(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21764, 21755])).
% 16.30/11.47 tff(21766,plain,
% 16.30/11.47 ((~(v19(constB24) <=> (v20(constB24) | v21(constB24)))) | v19(constB24) | (~(v20(constB24) | v21(constB24)))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21767,plain,
% 16.30/11.47 (~(v20(constB24) | v21(constB24))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21766, 21765, 21745])).
% 16.30/11.47 tff(21768,plain,
% 16.30/11.47 ((v20(constB24) | v21(constB24)) | (~v21(constB24))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21769,plain,
% 16.30/11.47 (~v21(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21768, 21767])).
% 16.30/11.47 tff(21770,plain,
% 16.30/11.47 ((~((~v21(constB24)) <=> v6(constB24))) | v21(constB24) | v6(constB24)),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21771,plain,
% 16.30/11.47 (v6(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21770, 21769, 21743])).
% 16.30/11.47 tff(21772,plain,
% 16.30/11.47 ((~(v6(constB24) <=> v13(constB24))) | (~v6(constB24)) | v13(constB24)),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21773,plain,
% 16.30/11.47 (v13(constB24)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21772, 21771, 21741])).
% 16.30/11.47 tff(21774,plain,
% 16.30/11.47 ((~(v13(constB24) <=> v9(constB23))) | (~v13(constB24)) | v9(constB23)),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21775,plain,
% 16.30/11.47 (v9(constB23)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21774, 21773, 21739])).
% 16.30/11.47 tff(21776,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB23)) <=> v1(constB23))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21777,plain,
% 16.30/11.47 ((~v39(constB23)) <=> v1(constB23)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21776, 139])).
% 16.30/11.47 tff(21778,plain,
% 16.30/11.47 ((~((~v39(constB23)) <=> v1(constB23))) | v39(constB23) | v1(constB23)),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21779,plain,
% 16.30/11.47 ((~((~v39(constB23)) <=> v1(constB23))) | v39(constB23)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21778, 1551])).
% 16.30/11.47 tff(21780,plain,
% 16.30/11.47 (v39(constB23)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21779, 21777])).
% 16.30/11.47 tff(21781,plain,
% 16.30/11.47 ((~((~v39(constB23)) | (~v9(constB23)))) | (~v39(constB23)) | (~v9(constB23))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21782,plain,
% 16.30/11.47 ((~((~v39(constB23)) | (~v9(constB23)))) | (~v9(constB23))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21781, 21780])).
% 16.30/11.47 tff(21783,plain,
% 16.30/11.47 (~((~v39(constB23)) | (~v9(constB23)))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21782, 21775])).
% 16.30/11.47 tff(21784,plain,
% 16.30/11.47 ((~(v141(constB23) <=> (~((~v39(constB23)) | (~v9(constB23)))))) | v141(constB23) | ((~v39(constB23)) | (~v9(constB23)))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21785,plain,
% 16.30/11.47 (v141(constB23)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21784, 21783, 21735])).
% 16.30/11.47 tff(21786,plain,
% 16.30/11.47 ((v141(constB23) | v26(constB23)) | (~v141(constB23))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21787,plain,
% 16.30/11.47 (v141(constB23) | v26(constB23)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21786, 21785])).
% 16.30/11.47 tff(21788,plain,
% 16.30/11.47 ((~(v140(constB23) <=> (v141(constB23) | v26(constB23)))) | v140(constB23) | (~(v141(constB23) | v26(constB23)))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21789,plain,
% 16.30/11.47 (v140(constB23)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21788, 21787, 21733])).
% 16.30/11.47 tff(21790,plain,
% 16.30/11.47 ((~((~v139(constB23)) <=> v140(constB23))) | (~v139(constB23)) | (~v140(constB23))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21791,plain,
% 16.30/11.47 (~v139(constB23)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21790, 21789, 21731])).
% 16.30/11.47 tff(21792,plain,
% 16.30/11.47 (((~v132(constB23)) | (~v139(constB23))) | v139(constB23)),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21793,plain,
% 16.30/11.47 ((~v132(constB23)) | (~v139(constB23))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21792, 21791])).
% 16.30/11.47 tff(21794,plain,
% 16.30/11.47 ((~(v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23)))))) | (~v138(constB23)) | (~((~v132(constB23)) | (~v139(constB23))))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21795,plain,
% 16.30/11.47 (~v138(constB23)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21794, 21793, 21729])).
% 16.30/11.47 tff(21796,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB23) <=> (~((~v143(constB23)) | (~v144(constB23)))))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21797,plain,
% 16.30/11.47 (v142(constB23) <=> (~((~v143(constB23)) | (~v144(constB23))))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21796, 596])).
% 16.30/11.47 tff(21798,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB23) <=> (~((~v141(constB23)) | (~v145(constB23)))))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21799,plain,
% 16.30/11.47 (v144(constB23) <=> (~((~v141(constB23)) | (~v145(constB23))))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21798, 608])).
% 16.30/11.47 tff(21800,plain,
% 16.30/11.47 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))))),
% 16.30/11.47 inference(quant_inst,[status(thm)],[])).
% 16.30/11.47 tff(21801,plain,
% 16.30/11.47 (v145(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21800, 755])).
% 16.30/11.47 tff(21802,plain,
% 16.30/11.47 ((v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))) | v84(constB23, 0)),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21803,plain,
% 16.30/11.47 (v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21802, 4229])).
% 16.30/11.47 tff(21804,plain,
% 16.30/11.47 ((~(v145(constB23) <=> (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0)))))) | (~v145(constB23)) | (~(v84(constB23, 1) | v84(constB23, 2) | (~v84(constB23, 0))))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21805,plain,
% 16.30/11.47 (~v145(constB23)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21804, 21803, 21801])).
% 16.30/11.47 tff(21806,plain,
% 16.30/11.47 (((~v141(constB23)) | (~v145(constB23))) | v145(constB23)),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21807,plain,
% 16.30/11.47 ((~v141(constB23)) | (~v145(constB23))),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21806, 21805])).
% 16.30/11.47 tff(21808,plain,
% 16.30/11.47 ((~(v144(constB23) <=> (~((~v141(constB23)) | (~v145(constB23)))))) | (~v144(constB23)) | (~((~v141(constB23)) | (~v145(constB23))))),
% 16.30/11.47 inference(tautology,[status(thm)],[])).
% 16.30/11.47 tff(21809,plain,
% 16.30/11.47 (~v144(constB23)),
% 16.30/11.47 inference(unit_resolution,[status(thm)],[21808, 21807, 21799])).
% 16.30/11.48 tff(21810,plain,
% 16.30/11.48 (((~v143(constB23)) | (~v144(constB23))) | v144(constB23)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21811,plain,
% 16.30/11.48 ((~v143(constB23)) | (~v144(constB23))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21810, 21809])).
% 16.30/11.48 tff(21812,plain,
% 16.30/11.48 ((~(v142(constB23) <=> (~((~v143(constB23)) | (~v144(constB23)))))) | (~v142(constB23)) | (~((~v143(constB23)) | (~v144(constB23))))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21813,plain,
% 16.30/11.48 (~v142(constB23)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21812, 21811, 21797])).
% 16.30/11.48 tff(21814,plain,
% 16.30/11.48 ((~(v138(constB23) | v142(constB23))) | v138(constB23) | v142(constB23)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21815,plain,
% 16.30/11.48 (~(v138(constB23) | v142(constB23))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21814, 21813, 21795])).
% 16.30/11.48 tff(21816,plain,
% 16.30/11.48 ((~(v135(constB23) <=> (v138(constB23) | v142(constB23)))) | (~v135(constB23)) | (v138(constB23) | v142(constB23))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21817,plain,
% 16.30/11.48 (~v135(constB23)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21816, 21815, 21722])).
% 16.30/11.48 tff(21818,plain,
% 16.30/11.48 ((~(v137(constB24) <=> v135(constB23))) | (~v137(constB24)) | v135(constB23)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21819,plain,
% 16.30/11.48 (~v137(constB24)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21818, 21817, 21720])).
% 16.30/11.48 tff(21820,plain,
% 16.30/11.48 ((~(v132(constB24) <=> v137(constB24))) | (~v132(constB24)) | v137(constB24)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21821,plain,
% 16.30/11.48 (~v132(constB24)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21820, 21819, 21716])).
% 16.30/11.48 tff(21822,plain,
% 16.30/11.48 (((~v132(constB24)) | (~v139(constB24))) | v132(constB24)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21823,plain,
% 16.30/11.48 ((~v132(constB24)) | (~v139(constB24))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21822, 21821])).
% 16.30/11.48 tff(21824,plain,
% 16.30/11.48 ((~(v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24)))))) | (~v138(constB24)) | (~((~v132(constB24)) | (~v139(constB24))))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21825,plain,
% 16.30/11.48 (~v138(constB24)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21824, 21823, 21714])).
% 16.30/11.48 tff(21826,plain,
% 16.30/11.48 ((~(v138(constB24) | v142(constB24))) | v138(constB24) | v142(constB24)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21827,plain,
% 16.30/11.48 (~(v138(constB24) | v142(constB24))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21826, 21825, 21707])).
% 16.30/11.48 tff(21828,plain,
% 16.30/11.48 ((~(v135(constB24) <=> (v138(constB24) | v142(constB24)))) | (~v135(constB24)) | (v138(constB24) | v142(constB24))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21829,plain,
% 16.30/11.48 (~v135(constB24)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21828, 21827, 21682])).
% 16.30/11.48 tff(21830,plain,
% 16.30/11.48 ((~(v137(constB25) <=> v135(constB24))) | (~v137(constB25)) | v135(constB24)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21831,plain,
% 16.30/11.48 (~v137(constB25)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21830, 21829, 21680])).
% 16.30/11.48 tff(21832,plain,
% 16.30/11.48 ((~(v132(constB25) <=> v137(constB25))) | (~v132(constB25)) | v137(constB25)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21833,plain,
% 16.30/11.48 (~v132(constB25)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21832, 21831, 21676])).
% 16.30/11.48 tff(21834,plain,
% 16.30/11.48 (((~v132(constB25)) | (~v155(constB25))) | v132(constB25)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21835,plain,
% 16.30/11.48 ((~v132(constB25)) | (~v155(constB25))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21834, 21833])).
% 16.30/11.48 tff(21836,plain,
% 16.30/11.48 ((~(v154(constB25) <=> (~((~v132(constB25)) | (~v155(constB25)))))) | (~v154(constB25)) | (~((~v132(constB25)) | (~v155(constB25))))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21837,plain,
% 16.30/11.48 (~v154(constB25)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21836, 21835, 21674])).
% 16.30/11.48 tff(21838,plain,
% 16.30/11.48 ((~(v153(constB25) | v154(constB25))) | v153(constB25) | v154(constB25)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21839,plain,
% 16.30/11.48 (~(v153(constB25) | v154(constB25))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21838, 21837, 21667])).
% 16.30/11.48 tff(21840,plain,
% 16.30/11.48 ((~(v150(constB25) <=> (v153(constB25) | v154(constB25)))) | (~v150(constB25)) | (v153(constB25) | v154(constB25))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21841,plain,
% 16.30/11.48 (~v150(constB25)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21840, 21839, 21594])).
% 16.30/11.48 tff(21842,plain,
% 16.30/11.48 ((~(v152(constB26) <=> v150(constB25))) | (~v152(constB26)) | v150(constB25)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21843,plain,
% 16.30/11.48 (~v152(constB26)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21842, 21841, 21592])).
% 16.30/11.48 tff(21844,plain,
% 16.30/11.48 ((~(v130(constB26) <=> v152(constB26))) | (~v130(constB26)) | v152(constB26)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21845,plain,
% 16.30/11.48 (~v130(constB26)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21844, 21843, 21588])).
% 16.30/11.48 tff(21846,plain,
% 16.30/11.48 (((~v130(constB26)) | (~v139(constB26))) | v130(constB26)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21847,plain,
% 16.30/11.48 ((~v130(constB26)) | (~v139(constB26))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21846, 21845])).
% 16.30/11.48 tff(21848,plain,
% 16.30/11.48 ((~(v153(constB26) <=> (~((~v130(constB26)) | (~v139(constB26)))))) | (~v153(constB26)) | (~((~v130(constB26)) | (~v139(constB26))))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21849,plain,
% 16.30/11.48 (~v153(constB26)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21848, 21847, 21586])).
% 16.30/11.48 tff(21850,plain,
% 16.30/11.48 ((~(v153(constB26) | v154(constB26))) | v153(constB26) | v154(constB26)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21851,plain,
% 16.30/11.48 (~(v153(constB26) | v154(constB26))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21850, 21849, 21579])).
% 16.30/11.48 tff(21852,plain,
% 16.30/11.48 ((~(v150(constB26) <=> (v153(constB26) | v154(constB26)))) | (~v150(constB26)) | (v153(constB26) | v154(constB26))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21853,plain,
% 16.30/11.48 (~v150(constB26)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21852, 21851, 21544])).
% 16.30/11.48 tff(21854,plain,
% 16.30/11.48 ((~(v152(constB27) <=> v150(constB26))) | (~v152(constB27)) | v150(constB26)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21855,plain,
% 16.30/11.48 (~v152(constB27)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21854, 21853, 21542])).
% 16.30/11.48 tff(21856,plain,
% 16.30/11.48 ((~(v130(constB27) <=> v152(constB27))) | (~v130(constB27)) | v152(constB27)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21857,plain,
% 16.30/11.48 (~v130(constB27)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21856, 21855, 21538])).
% 16.30/11.48 tff(21858,plain,
% 16.30/11.48 (((~v130(constB27)) | (~v155(constB27))) | v130(constB27)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21859,plain,
% 16.30/11.48 ((~v130(constB27)) | (~v155(constB27))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21858, 21857])).
% 16.30/11.48 tff(21860,plain,
% 16.30/11.48 ((~(v164(constB27) <=> (~((~v130(constB27)) | (~v155(constB27)))))) | (~v164(constB27)) | (~((~v130(constB27)) | (~v155(constB27))))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21861,plain,
% 16.30/11.48 (~v164(constB27)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21860, 21859, 21536])).
% 16.30/11.48 tff(21862,plain,
% 16.30/11.48 ((~(v163(constB27) | v164(constB27))) | v163(constB27) | v164(constB27)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21863,plain,
% 16.30/11.48 (~(v163(constB27) | v164(constB27))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21862, 21861, 21529])).
% 16.30/11.48 tff(21864,plain,
% 16.30/11.48 ((~(v160(constB27) <=> (v163(constB27) | v164(constB27)))) | (~v160(constB27)) | (v163(constB27) | v164(constB27))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21865,plain,
% 16.30/11.48 (~v160(constB27)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21864, 21863, 21456])).
% 16.30/11.48 tff(21866,plain,
% 16.30/11.48 ((~(v162(constB28) <=> v160(constB27))) | (~v162(constB28)) | v160(constB27)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21867,plain,
% 16.30/11.48 (~v162(constB28)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21866, 21865, 21454])).
% 16.30/11.48 tff(21868,plain,
% 16.30/11.48 ((~(v128(constB28) <=> v162(constB28))) | (~v128(constB28)) | v162(constB28)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21869,plain,
% 16.30/11.48 (~v128(constB28)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21868, 21867, 21450])).
% 16.30/11.48 tff(21870,plain,
% 16.30/11.48 (((~v128(constB28)) | (~v139(constB28))) | v128(constB28)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21871,plain,
% 16.30/11.48 ((~v128(constB28)) | (~v139(constB28))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21870, 21869])).
% 16.30/11.48 tff(21872,plain,
% 16.30/11.48 ((~(v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28)))))) | (~v163(constB28)) | (~((~v128(constB28)) | (~v139(constB28))))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21873,plain,
% 16.30/11.48 (~v163(constB28)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21872, 21871, 21448])).
% 16.30/11.48 tff(21874,plain,
% 16.30/11.48 ((~(v163(constB28) | v164(constB28))) | v163(constB28) | v164(constB28)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21875,plain,
% 16.30/11.48 (~(v163(constB28) | v164(constB28))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21874, 21873, 21441])).
% 16.30/11.48 tff(21876,plain,
% 16.30/11.48 ((~(v160(constB28) <=> (v163(constB28) | v164(constB28)))) | (~v160(constB28)) | (v163(constB28) | v164(constB28))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21877,plain,
% 16.30/11.48 (~v160(constB28)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21876, 21875, 21406])).
% 16.30/11.48 tff(21878,plain,
% 16.30/11.48 ((~(v162(constB29) <=> v160(constB28))) | (~v162(constB29)) | v160(constB28)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21879,plain,
% 16.30/11.48 (~v162(constB29)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21878, 21877, 21404])).
% 16.30/11.48 tff(21880,plain,
% 16.30/11.48 ($false),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21879, 21400])).
% 16.30/11.48 tff(21881,plain,(~(constB29 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.30/11.48 tff(21882,assumption,(constB189 = VarCurr!0), introduced(assumption)).
% 16.30/11.48 tff(21883,plain,
% 16.30/11.48 (v162(constB189) <=> v162(VarCurr!0)),
% 16.30/11.48 inference(monotonicity,[status(thm)],[21882])).
% 16.30/11.48 tff(21884,plain,
% 16.30/11.48 (v162(VarCurr!0) <=> v162(constB189)),
% 16.30/11.48 inference(symmetry,[status(thm)],[21883])).
% 16.30/11.48 tff(21885,plain,
% 16.30/11.48 (v162(constB189)),
% 16.30/11.48 inference(modus_ponens,[status(thm)],[59, 21884])).
% 16.30/11.48 tff(21886,plain,
% 16.30/11.48 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 16.30/11.48 inference(rewrite,[status(thm)],[])).
% 16.30/11.48 tff(21887,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_188')).
% 16.30/11.48 tff(21888,plain,
% 16.30/11.48 (nextState(constB188, constB189)),
% 16.30/11.48 inference(modus_ponens,[status(thm)],[21887, 21886])).
% 16.30/11.48 tff(21889,plain,
% 16.30/11.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB188, constB189)) | (v162(constB189) <=> v160(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB188, constB189)) | (v162(constB189) <=> v160(constB188)))),
% 16.30/11.48 inference(rewrite,[status(thm)],[])).
% 16.30/11.48 tff(21890,plain,
% 16.30/11.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB188, constB189)) | (v162(constB189) <=> v160(constB188)))),
% 16.30/11.48 inference(quant_inst,[status(thm)],[])).
% 16.30/11.48 tff(21891,plain,
% 16.30/11.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB188, constB189)) | (v162(constB189) <=> v160(constB188))),
% 16.30/11.48 inference(modus_ponens,[status(thm)],[21890, 21889])).
% 16.30/11.48 tff(21892,plain,
% 16.30/11.48 (v162(constB189) <=> v160(constB188)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21891, 21888, 70])).
% 16.30/11.48 tff(21893,plain,
% 16.30/11.48 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB188) <=> (v163(constB188) | v164(constB188)))),
% 16.30/11.48 inference(quant_inst,[status(thm)],[])).
% 16.30/11.48 tff(21894,plain,
% 16.30/11.48 (v160(constB188) <=> (v163(constB188) | v164(constB188))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21893, 84])).
% 16.30/11.48 tff(21895,plain,
% 16.30/11.48 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB188) <=> (~((~v130(constB188)) | (~v155(constB188)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB188) <=> (~((~v130(constB188)) | (~v155(constB188))))))),
% 16.30/11.48 inference(rewrite,[status(thm)],[])).
% 16.30/11.48 tff(21896,plain,
% 16.30/11.48 ((v164(constB188) <=> (~((~v155(constB188)) | (~v130(constB188))))) <=> (v164(constB188) <=> (~((~v130(constB188)) | (~v155(constB188)))))),
% 16.30/11.48 inference(rewrite,[status(thm)],[])).
% 16.30/11.48 tff(21897,plain,
% 16.30/11.48 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB188) <=> (~((~v155(constB188)) | (~v130(constB188)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB188) <=> (~((~v130(constB188)) | (~v155(constB188))))))),
% 16.30/11.48 inference(monotonicity,[status(thm)],[21896])).
% 16.30/11.48 tff(21898,plain,
% 16.30/11.48 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB188) <=> (~((~v155(constB188)) | (~v130(constB188)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB188) <=> (~((~v130(constB188)) | (~v155(constB188))))))),
% 16.30/11.48 inference(transitivity,[status(thm)],[21897, 21895])).
% 16.30/11.48 tff(21899,plain,
% 16.30/11.48 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB188) <=> (~((~v155(constB188)) | (~v130(constB188)))))),
% 16.30/11.48 inference(quant_inst,[status(thm)],[])).
% 16.30/11.48 tff(21900,plain,
% 16.30/11.48 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB188) <=> (~((~v130(constB188)) | (~v155(constB188)))))),
% 16.30/11.48 inference(modus_ponens,[status(thm)],[21899, 21898])).
% 16.30/11.48 tff(21901,plain,
% 16.30/11.48 (v164(constB188) <=> (~((~v130(constB188)) | (~v155(constB188))))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21900, 96])).
% 16.30/11.48 tff(21902,plain,
% 16.30/11.48 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB188) <=> (~((~v141(constB188)) | (~v143(constB188)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB188) <=> (~((~v141(constB188)) | (~v143(constB188))))))),
% 16.30/11.48 inference(rewrite,[status(thm)],[])).
% 16.30/11.48 tff(21903,plain,
% 16.30/11.48 ((v155(constB188) <=> (~((~v143(constB188)) | (~v141(constB188))))) <=> (v155(constB188) <=> (~((~v141(constB188)) | (~v143(constB188)))))),
% 16.30/11.48 inference(rewrite,[status(thm)],[])).
% 16.30/11.48 tff(21904,plain,
% 16.30/11.48 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB188) <=> (~((~v143(constB188)) | (~v141(constB188)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB188) <=> (~((~v141(constB188)) | (~v143(constB188))))))),
% 16.30/11.48 inference(monotonicity,[status(thm)],[21903])).
% 16.30/11.48 tff(21905,plain,
% 16.30/11.48 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB188) <=> (~((~v143(constB188)) | (~v141(constB188)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB188) <=> (~((~v141(constB188)) | (~v143(constB188))))))),
% 16.30/11.48 inference(transitivity,[status(thm)],[21904, 21902])).
% 16.30/11.48 tff(21906,plain,
% 16.30/11.48 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB188) <=> (~((~v143(constB188)) | (~v141(constB188)))))),
% 16.30/11.48 inference(quant_inst,[status(thm)],[])).
% 16.30/11.48 tff(21907,plain,
% 16.30/11.48 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB188) <=> (~((~v141(constB188)) | (~v143(constB188)))))),
% 16.30/11.48 inference(modus_ponens,[status(thm)],[21906, 21905])).
% 16.30/11.48 tff(21908,plain,
% 16.30/11.48 (v155(constB188) <=> (~((~v141(constB188)) | (~v143(constB188))))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21907, 113])).
% 16.30/11.48 tff(21909,plain,
% 16.30/11.48 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB188) <=> (~((~v39(constB188)) | (~v9(constB188)))))),
% 16.30/11.48 inference(quant_inst,[status(thm)],[])).
% 16.30/11.48 tff(21910,plain,
% 16.30/11.48 (v141(constB188) <=> (~((~v39(constB188)) | (~v9(constB188))))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21909, 130])).
% 16.30/11.48 tff(21911,plain,
% 16.30/11.48 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB188)) <=> v1(constB188))),
% 16.30/11.48 inference(quant_inst,[status(thm)],[])).
% 16.30/11.48 tff(21912,plain,
% 16.30/11.48 ((~v39(constB188)) <=> v1(constB188)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21911, 139])).
% 16.30/11.48 tff(21913,plain,
% 16.30/11.48 (v1(constB188) <=> v1(constB188)),
% 16.30/11.48 inference(rewrite,[status(thm)],[])).
% 16.30/11.48 tff(21914,axiom,(v1(constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_188')).
% 16.30/11.48 tff(21915,plain,
% 16.30/11.48 (v1(constB188)),
% 16.30/11.48 inference(modus_ponens,[status(thm)],[21914, 21913])).
% 16.30/11.48 tff(21916,plain,
% 16.30/11.48 ((~((~v39(constB188)) <=> v1(constB188))) | (~v39(constB188)) | (~v1(constB188))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21917,plain,
% 16.30/11.48 ((~((~v39(constB188)) <=> v1(constB188))) | (~v39(constB188))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21916, 21915])).
% 16.30/11.48 tff(21918,plain,
% 16.30/11.48 (~v39(constB188)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21917, 21912])).
% 16.30/11.48 tff(21919,plain,
% 16.30/11.48 (((~v39(constB188)) | (~v9(constB188))) | v39(constB188)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21920,plain,
% 16.30/11.48 ((~v39(constB188)) | (~v9(constB188))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21919, 21918])).
% 16.30/11.48 tff(21921,plain,
% 16.30/11.48 ((~(v141(constB188) <=> (~((~v39(constB188)) | (~v9(constB188)))))) | (~v141(constB188)) | (~((~v39(constB188)) | (~v9(constB188))))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21922,plain,
% 16.30/11.48 ((~(v141(constB188) <=> (~((~v39(constB188)) | (~v9(constB188)))))) | (~v141(constB188))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21921, 21920])).
% 16.30/11.48 tff(21923,plain,
% 16.30/11.48 (~v141(constB188)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21922, 21910])).
% 16.30/11.48 tff(21924,plain,
% 16.30/11.48 (((~v141(constB188)) | (~v143(constB188))) | v141(constB188)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21925,plain,
% 16.30/11.48 ((~v141(constB188)) | (~v143(constB188))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21924, 21923])).
% 16.30/11.48 tff(21926,plain,
% 16.30/11.48 ((~(v155(constB188) <=> (~((~v141(constB188)) | (~v143(constB188)))))) | (~v155(constB188)) | (~((~v141(constB188)) | (~v143(constB188))))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21927,plain,
% 16.30/11.48 ((~(v155(constB188) <=> (~((~v141(constB188)) | (~v143(constB188)))))) | (~v155(constB188))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21926, 21925])).
% 16.30/11.48 tff(21928,plain,
% 16.30/11.48 (~v155(constB188)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21927, 21908])).
% 16.30/11.48 tff(21929,plain,
% 16.30/11.48 (((~v130(constB188)) | (~v155(constB188))) | v155(constB188)),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21930,plain,
% 16.30/11.48 ((~v130(constB188)) | (~v155(constB188))),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21929, 21928])).
% 16.30/11.48 tff(21931,plain,
% 16.30/11.48 ((~(v164(constB188) <=> (~((~v130(constB188)) | (~v155(constB188)))))) | (~v164(constB188)) | (~((~v130(constB188)) | (~v155(constB188))))),
% 16.30/11.48 inference(tautology,[status(thm)],[])).
% 16.30/11.48 tff(21932,plain,
% 16.30/11.48 (~v164(constB188)),
% 16.30/11.48 inference(unit_resolution,[status(thm)],[21931, 21930, 21901])).
% 16.30/11.48 tff(21933,plain,
% 16.30/11.48 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB188) <=> (~((~v128(constB188)) | (~v139(constB188)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB188) <=> (~((~v128(constB188)) | (~v139(constB188))))))),
% 16.30/11.48 inference(rewrite,[status(thm)],[])).
% 16.30/11.48 tff(21934,plain,
% 16.30/11.48 ((v163(constB188) <=> (~((~v139(constB188)) | (~v128(constB188))))) <=> (v163(constB188) <=> (~((~v128(constB188)) | (~v139(constB188)))))),
% 16.30/11.48 inference(rewrite,[status(thm)],[])).
% 16.30/11.48 tff(21935,plain,
% 16.30/11.48 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB188) <=> (~((~v139(constB188)) | (~v128(constB188)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB188) <=> (~((~v128(constB188)) | (~v139(constB188))))))),
% 16.30/11.48 inference(monotonicity,[status(thm)],[21934])).
% 16.30/11.48 tff(21936,plain,
% 16.30/11.48 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB188) <=> (~((~v139(constB188)) | (~v128(constB188)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB188) <=> (~((~v128(constB188)) | (~v139(constB188))))))),
% 16.30/11.49 inference(transitivity,[status(thm)],[21935, 21933])).
% 16.30/11.49 tff(21937,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB188) <=> (~((~v139(constB188)) | (~v128(constB188)))))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21938,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB188) <=> (~((~v128(constB188)) | (~v139(constB188)))))),
% 16.30/11.49 inference(modus_ponens,[status(thm)],[21937, 21936])).
% 16.30/11.49 tff(21939,plain,
% 16.30/11.49 (v163(constB188) <=> (~((~v128(constB188)) | (~v139(constB188))))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21938, 171])).
% 16.30/11.49 tff(21940,plain,
% 16.30/11.49 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB188) <=> v162(constB188))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21941,plain,
% 16.30/11.49 (v128(constB188) <=> v162(constB188)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21940, 13])).
% 16.30/11.49 tff(21942,plain,
% 16.30/11.49 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 16.30/11.49 inference(rewrite,[status(thm)],[])).
% 16.30/11.49 tff(21943,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_187')).
% 16.30/11.49 tff(21944,plain,
% 16.30/11.49 (nextState(constB187, constB188)),
% 16.30/11.49 inference(modus_ponens,[status(thm)],[21943, 21942])).
% 16.30/11.49 tff(21945,plain,
% 16.30/11.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB187, constB188)) | (v162(constB188) <=> v160(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB187, constB188)) | (v162(constB188) <=> v160(constB187)))),
% 16.30/11.49 inference(rewrite,[status(thm)],[])).
% 16.30/11.49 tff(21946,plain,
% 16.30/11.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB187, constB188)) | (v162(constB188) <=> v160(constB187)))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21947,plain,
% 16.30/11.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB187, constB188)) | (v162(constB188) <=> v160(constB187))),
% 16.30/11.49 inference(modus_ponens,[status(thm)],[21946, 21945])).
% 16.30/11.49 tff(21948,plain,
% 16.30/11.49 (v162(constB188) <=> v160(constB187)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21947, 21944, 70])).
% 16.30/11.49 tff(21949,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB187) <=> (v163(constB187) | v164(constB187)))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21950,plain,
% 16.30/11.49 (v160(constB187) <=> (v163(constB187) | v164(constB187))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21949, 84])).
% 16.30/11.49 tff(21951,plain,
% 16.30/11.49 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB187) <=> (~((~v128(constB187)) | (~v139(constB187)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB187) <=> (~((~v128(constB187)) | (~v139(constB187))))))),
% 16.30/11.49 inference(rewrite,[status(thm)],[])).
% 16.30/11.49 tff(21952,plain,
% 16.30/11.49 ((v163(constB187) <=> (~((~v139(constB187)) | (~v128(constB187))))) <=> (v163(constB187) <=> (~((~v128(constB187)) | (~v139(constB187)))))),
% 16.30/11.49 inference(rewrite,[status(thm)],[])).
% 16.30/11.49 tff(21953,plain,
% 16.30/11.49 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB187) <=> (~((~v139(constB187)) | (~v128(constB187)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB187) <=> (~((~v128(constB187)) | (~v139(constB187))))))),
% 16.30/11.49 inference(monotonicity,[status(thm)],[21952])).
% 16.30/11.49 tff(21954,plain,
% 16.30/11.49 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB187) <=> (~((~v139(constB187)) | (~v128(constB187)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB187) <=> (~((~v128(constB187)) | (~v139(constB187))))))),
% 16.30/11.49 inference(transitivity,[status(thm)],[21953, 21951])).
% 16.30/11.49 tff(21955,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB187) <=> (~((~v139(constB187)) | (~v128(constB187)))))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21956,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB187) <=> (~((~v128(constB187)) | (~v139(constB187)))))),
% 16.30/11.49 inference(modus_ponens,[status(thm)],[21955, 21954])).
% 16.30/11.49 tff(21957,plain,
% 16.30/11.49 (v163(constB187) <=> (~((~v128(constB187)) | (~v139(constB187))))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21956, 171])).
% 16.30/11.49 tff(21958,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB187)) <=> v140(constB187))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21959,plain,
% 16.30/11.49 ((~v139(constB187)) <=> v140(constB187)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21958, 203])).
% 16.30/11.49 tff(21960,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB187) <=> (v141(constB187) | v26(constB187)))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21961,plain,
% 16.30/11.49 (v140(constB187) <=> (v141(constB187) | v26(constB187))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21960, 212])).
% 16.30/11.49 tff(21962,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB187) <=> (~((~v39(constB187)) | (~v9(constB187)))))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21963,plain,
% 16.30/11.49 (v141(constB187) <=> (~((~v39(constB187)) | (~v9(constB187))))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21962, 130])).
% 16.30/11.49 tff(21964,plain,
% 16.30/11.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB187, constB188)) | (v13(constB188) <=> v9(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB187, constB188)) | (v13(constB188) <=> v9(constB187)))),
% 16.30/11.49 inference(rewrite,[status(thm)],[])).
% 16.30/11.49 tff(21965,plain,
% 16.30/11.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB187, constB188)) | (v13(constB188) <=> v9(constB187)))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21966,plain,
% 16.30/11.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB187, constB188)) | (v13(constB188) <=> v9(constB187))),
% 16.30/11.49 inference(modus_ponens,[status(thm)],[21965, 21964])).
% 16.30/11.49 tff(21967,plain,
% 16.30/11.49 (v13(constB188) <=> v9(constB187)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21966, 21944, 226])).
% 16.30/11.49 tff(21968,plain,
% 16.30/11.49 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB188) <=> v13(constB188))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21969,plain,
% 16.30/11.49 (v6(constB188) <=> v13(constB188)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21968, 240])).
% 16.30/11.49 tff(21970,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB188)) <=> v6(constB188))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21971,plain,
% 16.30/11.49 ((~v21(constB188)) <=> v6(constB188)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21970, 249])).
% 16.30/11.49 tff(21972,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB188) <=> (v20(constB188) | v21(constB188)))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21973,plain,
% 16.30/11.49 (v19(constB188) <=> (v20(constB188) | v21(constB188))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21972, 258])).
% 16.30/11.49 tff(21974,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB188) <=> (~((~v19(constB188)) | (~v22(constB188)))))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21975,plain,
% 16.30/11.49 (v18(constB188) <=> (~((~v19(constB188)) | (~v22(constB188))))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21974, 270])).
% 16.30/11.49 tff(21976,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB188)) <=> v18(constB188))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21977,plain,
% 16.30/11.49 ((~v4(constB188)) <=> v18(constB188)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21976, 279])).
% 16.30/11.49 tff(21978,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB188)),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21979,plain,
% 16.30/11.49 (v4(constB188)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21978, 288])).
% 16.30/11.49 tff(21980,plain,
% 16.30/11.49 ((~((~v4(constB188)) <=> v18(constB188))) | (~v4(constB188)) | (~v18(constB188))),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(21981,plain,
% 16.30/11.49 (~v18(constB188)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21980, 21979, 21977])).
% 16.30/11.49 tff(21982,plain,
% 16.30/11.49 ((~(v18(constB188) <=> (~((~v19(constB188)) | (~v22(constB188)))))) | v18(constB188) | ((~v19(constB188)) | (~v22(constB188)))),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(21983,plain,
% 16.30/11.49 ((~v19(constB188)) | (~v22(constB188))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21982, 21981, 21975])).
% 16.30/11.49 tff(21984,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB188) <=> (v1(constB188) | v6(constB188)))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(21985,plain,
% 16.30/11.49 (v22(constB188) <=> (v1(constB188) | v6(constB188))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21984, 301])).
% 16.30/11.49 tff(21986,plain,
% 16.30/11.49 ((v1(constB188) | v6(constB188)) | (~v1(constB188))),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(21987,plain,
% 16.30/11.49 (v1(constB188) | v6(constB188)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21986, 21915])).
% 16.30/11.49 tff(21988,plain,
% 16.30/11.49 ((~(v22(constB188) <=> (v1(constB188) | v6(constB188)))) | v22(constB188) | (~(v1(constB188) | v6(constB188)))),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(21989,plain,
% 16.30/11.49 ((~(v22(constB188) <=> (v1(constB188) | v6(constB188)))) | v22(constB188)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21988, 21987])).
% 16.30/11.49 tff(21990,plain,
% 16.30/11.49 (v22(constB188)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21989, 21985])).
% 16.30/11.49 tff(21991,plain,
% 16.30/11.49 ((~((~v19(constB188)) | (~v22(constB188)))) | (~v19(constB188)) | (~v22(constB188))),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(21992,plain,
% 16.30/11.49 ((~((~v19(constB188)) | (~v22(constB188)))) | (~v19(constB188))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21991, 21990])).
% 16.30/11.49 tff(21993,plain,
% 16.30/11.49 (~v19(constB188)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21992, 21983])).
% 16.30/11.49 tff(21994,plain,
% 16.30/11.49 ((~(v19(constB188) <=> (v20(constB188) | v21(constB188)))) | v19(constB188) | (~(v20(constB188) | v21(constB188)))),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(21995,plain,
% 16.30/11.49 (~(v20(constB188) | v21(constB188))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21994, 21993, 21973])).
% 16.30/11.49 tff(21996,plain,
% 16.30/11.49 ((v20(constB188) | v21(constB188)) | (~v21(constB188))),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(21997,plain,
% 16.30/11.49 (~v21(constB188)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21996, 21995])).
% 16.30/11.49 tff(21998,plain,
% 16.30/11.49 ((~((~v21(constB188)) <=> v6(constB188))) | v21(constB188) | v6(constB188)),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(21999,plain,
% 16.30/11.49 (v6(constB188)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[21998, 21997, 21971])).
% 16.30/11.49 tff(22000,plain,
% 16.30/11.49 ((~(v6(constB188) <=> v13(constB188))) | (~v6(constB188)) | v13(constB188)),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(22001,plain,
% 16.30/11.49 (v13(constB188)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22000, 21999, 21969])).
% 16.30/11.49 tff(22002,plain,
% 16.30/11.49 ((~(v13(constB188) <=> v9(constB187))) | (~v13(constB188)) | v9(constB187)),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(22003,plain,
% 16.30/11.49 (v9(constB187)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22002, 22001, 21967])).
% 16.30/11.49 tff(22004,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB187)) <=> v1(constB187))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(22005,plain,
% 16.30/11.49 ((~v39(constB187)) <=> v1(constB187)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22004, 139])).
% 16.30/11.49 tff(22006,plain,
% 16.30/11.49 ((~v1(constB187)) <=> (~v1(constB187))),
% 16.30/11.49 inference(rewrite,[status(thm)],[])).
% 16.30/11.49 tff(22007,axiom,(~v1(constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_187')).
% 16.30/11.49 tff(22008,plain,
% 16.30/11.49 (~v1(constB187)),
% 16.30/11.49 inference(modus_ponens,[status(thm)],[22007, 22006])).
% 16.30/11.49 tff(22009,plain,
% 16.30/11.49 ((~((~v39(constB187)) <=> v1(constB187))) | v39(constB187) | v1(constB187)),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(22010,plain,
% 16.30/11.49 ((~((~v39(constB187)) <=> v1(constB187))) | v39(constB187)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22009, 22008])).
% 16.30/11.49 tff(22011,plain,
% 16.30/11.49 (v39(constB187)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22010, 22005])).
% 16.30/11.49 tff(22012,plain,
% 16.30/11.49 ((~((~v39(constB187)) | (~v9(constB187)))) | (~v39(constB187)) | (~v9(constB187))),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(22013,plain,
% 16.30/11.49 ((~((~v39(constB187)) | (~v9(constB187)))) | (~v9(constB187))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22012, 22011])).
% 16.30/11.49 tff(22014,plain,
% 16.30/11.49 (~((~v39(constB187)) | (~v9(constB187)))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22013, 22003])).
% 16.30/11.49 tff(22015,plain,
% 16.30/11.49 ((~(v141(constB187) <=> (~((~v39(constB187)) | (~v9(constB187)))))) | v141(constB187) | ((~v39(constB187)) | (~v9(constB187)))),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(22016,plain,
% 16.30/11.49 (v141(constB187)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22015, 22014, 21963])).
% 16.30/11.49 tff(22017,plain,
% 16.30/11.49 ((v141(constB187) | v26(constB187)) | (~v141(constB187))),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(22018,plain,
% 16.30/11.49 (v141(constB187) | v26(constB187)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22017, 22016])).
% 16.30/11.49 tff(22019,plain,
% 16.30/11.49 ((~(v140(constB187) <=> (v141(constB187) | v26(constB187)))) | v140(constB187) | (~(v141(constB187) | v26(constB187)))),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(22020,plain,
% 16.30/11.49 (v140(constB187)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22019, 22018, 21961])).
% 16.30/11.49 tff(22021,plain,
% 16.30/11.49 ((~((~v139(constB187)) <=> v140(constB187))) | (~v139(constB187)) | (~v140(constB187))),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(22022,plain,
% 16.30/11.49 (~v139(constB187)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22021, 22020, 21959])).
% 16.30/11.49 tff(22023,plain,
% 16.30/11.49 (((~v128(constB187)) | (~v139(constB187))) | v139(constB187)),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(22024,plain,
% 16.30/11.49 ((~v128(constB187)) | (~v139(constB187))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22023, 22022])).
% 16.30/11.49 tff(22025,plain,
% 16.30/11.49 ((~(v163(constB187) <=> (~((~v128(constB187)) | (~v139(constB187)))))) | (~v163(constB187)) | (~((~v128(constB187)) | (~v139(constB187))))),
% 16.30/11.49 inference(tautology,[status(thm)],[])).
% 16.30/11.49 tff(22026,plain,
% 16.30/11.49 (~v163(constB187)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22025, 22024, 21957])).
% 16.30/11.49 tff(22027,plain,
% 16.30/11.49 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB187) <=> (~((~v130(constB187)) | (~v155(constB187)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB187) <=> (~((~v130(constB187)) | (~v155(constB187))))))),
% 16.30/11.49 inference(rewrite,[status(thm)],[])).
% 16.30/11.49 tff(22028,plain,
% 16.30/11.49 ((v164(constB187) <=> (~((~v155(constB187)) | (~v130(constB187))))) <=> (v164(constB187) <=> (~((~v130(constB187)) | (~v155(constB187)))))),
% 16.30/11.49 inference(rewrite,[status(thm)],[])).
% 16.30/11.49 tff(22029,plain,
% 16.30/11.49 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB187) <=> (~((~v155(constB187)) | (~v130(constB187)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB187) <=> (~((~v130(constB187)) | (~v155(constB187))))))),
% 16.30/11.49 inference(monotonicity,[status(thm)],[22028])).
% 16.30/11.49 tff(22030,plain,
% 16.30/11.49 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB187) <=> (~((~v155(constB187)) | (~v130(constB187)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB187) <=> (~((~v130(constB187)) | (~v155(constB187))))))),
% 16.30/11.49 inference(transitivity,[status(thm)],[22029, 22027])).
% 16.30/11.49 tff(22031,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB187) <=> (~((~v155(constB187)) | (~v130(constB187)))))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(22032,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB187) <=> (~((~v130(constB187)) | (~v155(constB187)))))),
% 16.30/11.49 inference(modus_ponens,[status(thm)],[22031, 22030])).
% 16.30/11.49 tff(22033,plain,
% 16.30/11.49 (v164(constB187) <=> (~((~v130(constB187)) | (~v155(constB187))))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22032, 96])).
% 16.30/11.49 tff(22034,plain,
% 16.30/11.49 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB187) <=> v152(constB187))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(22035,plain,
% 16.30/11.49 (v130(constB187) <=> v152(constB187)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22034, 361])).
% 16.30/11.49 tff(22036,plain,
% 16.30/11.49 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 16.30/11.49 inference(rewrite,[status(thm)],[])).
% 16.30/11.49 tff(22037,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_186')).
% 16.30/11.49 tff(22038,plain,
% 16.30/11.49 (nextState(constB186, constB187)),
% 16.30/11.49 inference(modus_ponens,[status(thm)],[22037, 22036])).
% 16.30/11.49 tff(22039,plain,
% 16.30/11.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB186, constB187)) | (v152(constB187) <=> v150(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB186, constB187)) | (v152(constB187) <=> v150(constB186)))),
% 16.30/11.49 inference(rewrite,[status(thm)],[])).
% 16.30/11.49 tff(22040,plain,
% 16.30/11.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB186, constB187)) | (v152(constB187) <=> v150(constB186)))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(22041,plain,
% 16.30/11.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB186, constB187)) | (v152(constB187) <=> v150(constB186))),
% 16.30/11.49 inference(modus_ponens,[status(thm)],[22040, 22039])).
% 16.30/11.49 tff(22042,plain,
% 16.30/11.49 (v152(constB187) <=> v150(constB186)),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22041, 22038, 373])).
% 16.30/11.49 tff(22043,plain,
% 16.30/11.49 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB186) <=> (v153(constB186) | v154(constB186)))),
% 16.30/11.49 inference(quant_inst,[status(thm)],[])).
% 16.30/11.49 tff(22044,plain,
% 16.30/11.49 (v150(constB186) <=> (v153(constB186) | v154(constB186))),
% 16.30/11.49 inference(unit_resolution,[status(thm)],[22043, 387])).
% 16.30/11.49 tff(22045,plain,
% 16.30/11.49 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB186) <=> (~((~v132(constB186)) | (~v155(constB186)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB186) <=> (~((~v132(constB186)) | (~v155(constB186))))))),
% 16.30/11.49 inference(rewrite,[status(thm)],[])).
% 16.30/11.49 tff(22046,plain,
% 16.30/11.49 ((v154(constB186) <=> (~((~v155(constB186)) | (~v132(constB186))))) <=> (v154(constB186) <=> (~((~v132(constB186)) | (~v155(constB186)))))),
% 16.30/11.49 inference(rewrite,[status(thm)],[])).
% 16.30/11.49 tff(22047,plain,
% 16.30/11.49 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB186) <=> (~((~v155(constB186)) | (~v132(constB186)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB186) <=> (~((~v132(constB186)) | (~v155(constB186))))))),
% 16.30/11.49 inference(monotonicity,[status(thm)],[22046])).
% 16.30/11.50 tff(22048,plain,
% 16.30/11.50 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB186) <=> (~((~v155(constB186)) | (~v132(constB186)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB186) <=> (~((~v132(constB186)) | (~v155(constB186))))))),
% 16.30/11.50 inference(transitivity,[status(thm)],[22047, 22045])).
% 16.30/11.50 tff(22049,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB186) <=> (~((~v155(constB186)) | (~v132(constB186)))))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22050,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB186) <=> (~((~v132(constB186)) | (~v155(constB186)))))),
% 16.30/11.50 inference(modus_ponens,[status(thm)],[22049, 22048])).
% 16.30/11.50 tff(22051,plain,
% 16.30/11.50 (v154(constB186) <=> (~((~v132(constB186)) | (~v155(constB186))))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22050, 399])).
% 16.30/11.50 tff(22052,plain,
% 16.30/11.50 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB186) <=> (~((~v141(constB186)) | (~v143(constB186)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB186) <=> (~((~v141(constB186)) | (~v143(constB186))))))),
% 16.30/11.50 inference(rewrite,[status(thm)],[])).
% 16.30/11.50 tff(22053,plain,
% 16.30/11.50 ((v155(constB186) <=> (~((~v143(constB186)) | (~v141(constB186))))) <=> (v155(constB186) <=> (~((~v141(constB186)) | (~v143(constB186)))))),
% 16.30/11.50 inference(rewrite,[status(thm)],[])).
% 16.30/11.50 tff(22054,plain,
% 16.30/11.50 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB186) <=> (~((~v143(constB186)) | (~v141(constB186)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB186) <=> (~((~v141(constB186)) | (~v143(constB186))))))),
% 16.30/11.50 inference(monotonicity,[status(thm)],[22053])).
% 16.30/11.50 tff(22055,plain,
% 16.30/11.50 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB186) <=> (~((~v143(constB186)) | (~v141(constB186)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB186) <=> (~((~v141(constB186)) | (~v143(constB186))))))),
% 16.30/11.50 inference(transitivity,[status(thm)],[22054, 22052])).
% 16.30/11.50 tff(22056,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB186) <=> (~((~v143(constB186)) | (~v141(constB186)))))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22057,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB186) <=> (~((~v141(constB186)) | (~v143(constB186)))))),
% 16.30/11.50 inference(modus_ponens,[status(thm)],[22056, 22055])).
% 16.30/11.50 tff(22058,plain,
% 16.30/11.50 (v155(constB186) <=> (~((~v141(constB186)) | (~v143(constB186))))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22057, 113])).
% 16.30/11.50 tff(22059,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22060,plain,
% 16.30/11.50 (v141(constB186) <=> (~((~v39(constB186)) | (~v9(constB186))))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22059, 130])).
% 16.30/11.50 tff(22061,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB186)) <=> v1(constB186))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22062,plain,
% 16.30/11.50 ((~v39(constB186)) <=> v1(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22061, 139])).
% 16.30/11.50 tff(22063,plain,
% 16.30/11.50 (v1(constB186) <=> v1(constB186)),
% 16.30/11.50 inference(rewrite,[status(thm)],[])).
% 16.30/11.50 tff(22064,axiom,(v1(constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_186')).
% 16.30/11.50 tff(22065,plain,
% 16.30/11.50 (v1(constB186)),
% 16.30/11.50 inference(modus_ponens,[status(thm)],[22064, 22063])).
% 16.30/11.50 tff(22066,plain,
% 16.30/11.50 ((~((~v39(constB186)) <=> v1(constB186))) | (~v39(constB186)) | (~v1(constB186))),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22067,plain,
% 16.30/11.50 ((~((~v39(constB186)) <=> v1(constB186))) | (~v39(constB186))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22066, 22065])).
% 16.30/11.50 tff(22068,plain,
% 16.30/11.50 (~v39(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22067, 22062])).
% 16.30/11.50 tff(22069,plain,
% 16.30/11.50 (((~v39(constB186)) | (~v9(constB186))) | v39(constB186)),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22070,plain,
% 16.30/11.50 ((~v39(constB186)) | (~v9(constB186))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22069, 22068])).
% 16.30/11.50 tff(22071,plain,
% 16.30/11.50 ((~(v141(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))) | (~v141(constB186)) | (~((~v39(constB186)) | (~v9(constB186))))),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22072,plain,
% 16.30/11.50 ((~(v141(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))) | (~v141(constB186))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22071, 22070])).
% 16.30/11.50 tff(22073,plain,
% 16.30/11.50 (~v141(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22072, 22060])).
% 16.30/11.50 tff(22074,plain,
% 16.30/11.50 (((~v141(constB186)) | (~v143(constB186))) | v141(constB186)),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22075,plain,
% 16.30/11.50 ((~v141(constB186)) | (~v143(constB186))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22074, 22073])).
% 16.30/11.50 tff(22076,plain,
% 16.30/11.50 ((~(v155(constB186) <=> (~((~v141(constB186)) | (~v143(constB186)))))) | (~v155(constB186)) | (~((~v141(constB186)) | (~v143(constB186))))),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22077,plain,
% 16.30/11.50 ((~(v155(constB186) <=> (~((~v141(constB186)) | (~v143(constB186)))))) | (~v155(constB186))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22076, 22075])).
% 16.30/11.50 tff(22078,plain,
% 16.30/11.50 (~v155(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22077, 22058])).
% 16.30/11.50 tff(22079,plain,
% 16.30/11.50 (((~v132(constB186)) | (~v155(constB186))) | v155(constB186)),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22080,plain,
% 16.30/11.50 ((~v132(constB186)) | (~v155(constB186))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22079, 22078])).
% 16.30/11.50 tff(22081,plain,
% 16.30/11.50 ((~(v154(constB186) <=> (~((~v132(constB186)) | (~v155(constB186)))))) | (~v154(constB186)) | (~((~v132(constB186)) | (~v155(constB186))))),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22082,plain,
% 16.30/11.50 (~v154(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22081, 22080, 22051])).
% 16.30/11.50 tff(22083,plain,
% 16.30/11.50 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB186) <=> (~((~v130(constB186)) | (~v139(constB186)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB186) <=> (~((~v130(constB186)) | (~v139(constB186))))))),
% 16.30/11.50 inference(rewrite,[status(thm)],[])).
% 16.30/11.50 tff(22084,plain,
% 16.30/11.50 ((v153(constB186) <=> (~((~v139(constB186)) | (~v130(constB186))))) <=> (v153(constB186) <=> (~((~v130(constB186)) | (~v139(constB186)))))),
% 16.30/11.50 inference(rewrite,[status(thm)],[])).
% 16.30/11.50 tff(22085,plain,
% 16.30/11.50 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB186) <=> (~((~v139(constB186)) | (~v130(constB186)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB186) <=> (~((~v130(constB186)) | (~v139(constB186))))))),
% 16.30/11.50 inference(monotonicity,[status(thm)],[22084])).
% 16.30/11.50 tff(22086,plain,
% 16.30/11.50 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB186) <=> (~((~v139(constB186)) | (~v130(constB186)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB186) <=> (~((~v130(constB186)) | (~v139(constB186))))))),
% 16.30/11.50 inference(transitivity,[status(thm)],[22085, 22083])).
% 16.30/11.50 tff(22087,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB186) <=> (~((~v139(constB186)) | (~v130(constB186)))))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22088,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB186) <=> (~((~v130(constB186)) | (~v139(constB186)))))),
% 16.30/11.50 inference(modus_ponens,[status(thm)],[22087, 22086])).
% 16.30/11.50 tff(22089,plain,
% 16.30/11.50 (v153(constB186) <=> (~((~v130(constB186)) | (~v139(constB186))))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22088, 447])).
% 16.30/11.50 tff(22090,plain,
% 16.30/11.50 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB186) <=> v152(constB186))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22091,plain,
% 16.30/11.50 (v130(constB186) <=> v152(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22090, 361])).
% 16.30/11.50 tff(22092,plain,
% 16.30/11.50 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 16.30/11.50 inference(rewrite,[status(thm)],[])).
% 16.30/11.50 tff(22093,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_185')).
% 16.30/11.50 tff(22094,plain,
% 16.30/11.50 (nextState(constB185, constB186)),
% 16.30/11.50 inference(modus_ponens,[status(thm)],[22093, 22092])).
% 16.30/11.50 tff(22095,plain,
% 16.30/11.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB185, constB186)) | (v152(constB186) <=> v150(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB185, constB186)) | (v152(constB186) <=> v150(constB185)))),
% 16.30/11.50 inference(rewrite,[status(thm)],[])).
% 16.30/11.50 tff(22096,plain,
% 16.30/11.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB185, constB186)) | (v152(constB186) <=> v150(constB185)))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22097,plain,
% 16.30/11.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB185, constB186)) | (v152(constB186) <=> v150(constB185))),
% 16.30/11.50 inference(modus_ponens,[status(thm)],[22096, 22095])).
% 16.30/11.50 tff(22098,plain,
% 16.30/11.50 (v152(constB186) <=> v150(constB185)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22097, 22094, 373])).
% 16.30/11.50 tff(22099,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB185) <=> (v153(constB185) | v154(constB185)))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22100,plain,
% 16.30/11.50 (v150(constB185) <=> (v153(constB185) | v154(constB185))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22099, 387])).
% 16.30/11.50 tff(22101,plain,
% 16.30/11.50 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB185) <=> (~((~v130(constB185)) | (~v139(constB185)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB185) <=> (~((~v130(constB185)) | (~v139(constB185))))))),
% 16.30/11.50 inference(rewrite,[status(thm)],[])).
% 16.30/11.50 tff(22102,plain,
% 16.30/11.50 ((v153(constB185) <=> (~((~v139(constB185)) | (~v130(constB185))))) <=> (v153(constB185) <=> (~((~v130(constB185)) | (~v139(constB185)))))),
% 16.30/11.50 inference(rewrite,[status(thm)],[])).
% 16.30/11.50 tff(22103,plain,
% 16.30/11.50 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB185) <=> (~((~v139(constB185)) | (~v130(constB185)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB185) <=> (~((~v130(constB185)) | (~v139(constB185))))))),
% 16.30/11.50 inference(monotonicity,[status(thm)],[22102])).
% 16.30/11.50 tff(22104,plain,
% 16.30/11.50 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB185) <=> (~((~v139(constB185)) | (~v130(constB185)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB185) <=> (~((~v130(constB185)) | (~v139(constB185))))))),
% 16.30/11.50 inference(transitivity,[status(thm)],[22103, 22101])).
% 16.30/11.50 tff(22105,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB185) <=> (~((~v139(constB185)) | (~v130(constB185)))))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22106,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB185) <=> (~((~v130(constB185)) | (~v139(constB185)))))),
% 16.30/11.50 inference(modus_ponens,[status(thm)],[22105, 22104])).
% 16.30/11.50 tff(22107,plain,
% 16.30/11.50 (v153(constB185) <=> (~((~v130(constB185)) | (~v139(constB185))))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22106, 447])).
% 16.30/11.50 tff(22108,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB185)) <=> v140(constB185))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22109,plain,
% 16.30/11.50 ((~v139(constB185)) <=> v140(constB185)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22108, 203])).
% 16.30/11.50 tff(22110,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB185) <=> (v141(constB185) | v26(constB185)))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22111,plain,
% 16.30/11.50 (v140(constB185) <=> (v141(constB185) | v26(constB185))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22110, 212])).
% 16.30/11.50 tff(22112,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB185) <=> (~((~v39(constB185)) | (~v9(constB185)))))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22113,plain,
% 16.30/11.50 (v141(constB185) <=> (~((~v39(constB185)) | (~v9(constB185))))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22112, 130])).
% 16.30/11.50 tff(22114,plain,
% 16.30/11.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185)))),
% 16.30/11.50 inference(rewrite,[status(thm)],[])).
% 16.30/11.50 tff(22115,plain,
% 16.30/11.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185)))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22116,plain,
% 16.30/11.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185))),
% 16.30/11.50 inference(modus_ponens,[status(thm)],[22115, 22114])).
% 16.30/11.50 tff(22117,plain,
% 16.30/11.50 (v13(constB186) <=> v9(constB185)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22116, 22094, 226])).
% 16.30/11.50 tff(22118,plain,
% 16.30/11.50 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB186) <=> v13(constB186))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22119,plain,
% 16.30/11.50 (v6(constB186) <=> v13(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22118, 240])).
% 16.30/11.50 tff(22120,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB186)) <=> v6(constB186))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22121,plain,
% 16.30/11.50 ((~v21(constB186)) <=> v6(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22120, 249])).
% 16.30/11.50 tff(22122,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB186) <=> (v20(constB186) | v21(constB186)))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22123,plain,
% 16.30/11.50 (v19(constB186) <=> (v20(constB186) | v21(constB186))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22122, 258])).
% 16.30/11.50 tff(22124,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186)))))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22125,plain,
% 16.30/11.50 (v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186))))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22124, 270])).
% 16.30/11.50 tff(22126,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB186)) <=> v18(constB186))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22127,plain,
% 16.30/11.50 ((~v4(constB186)) <=> v18(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22126, 279])).
% 16.30/11.50 tff(22128,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB186)),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22129,plain,
% 16.30/11.50 (v4(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22128, 288])).
% 16.30/11.50 tff(22130,plain,
% 16.30/11.50 ((~((~v4(constB186)) <=> v18(constB186))) | (~v4(constB186)) | (~v18(constB186))),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22131,plain,
% 16.30/11.50 (~v18(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22130, 22129, 22127])).
% 16.30/11.50 tff(22132,plain,
% 16.30/11.50 ((~(v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186)))))) | v18(constB186) | ((~v19(constB186)) | (~v22(constB186)))),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22133,plain,
% 16.30/11.50 ((~v19(constB186)) | (~v22(constB186))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22132, 22131, 22125])).
% 16.30/11.50 tff(22134,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB186) <=> (v1(constB186) | v6(constB186)))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22135,plain,
% 16.30/11.50 (v22(constB186) <=> (v1(constB186) | v6(constB186))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22134, 301])).
% 16.30/11.50 tff(22136,plain,
% 16.30/11.50 ((v1(constB186) | v6(constB186)) | (~v1(constB186))),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22137,plain,
% 16.30/11.50 (v1(constB186) | v6(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22136, 22065])).
% 16.30/11.50 tff(22138,plain,
% 16.30/11.50 ((~(v22(constB186) <=> (v1(constB186) | v6(constB186)))) | v22(constB186) | (~(v1(constB186) | v6(constB186)))),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22139,plain,
% 16.30/11.50 ((~(v22(constB186) <=> (v1(constB186) | v6(constB186)))) | v22(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22138, 22137])).
% 16.30/11.50 tff(22140,plain,
% 16.30/11.50 (v22(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22139, 22135])).
% 16.30/11.50 tff(22141,plain,
% 16.30/11.50 ((~((~v19(constB186)) | (~v22(constB186)))) | (~v19(constB186)) | (~v22(constB186))),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22142,plain,
% 16.30/11.50 ((~((~v19(constB186)) | (~v22(constB186)))) | (~v19(constB186))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22141, 22140])).
% 16.30/11.50 tff(22143,plain,
% 16.30/11.50 (~v19(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22142, 22133])).
% 16.30/11.50 tff(22144,plain,
% 16.30/11.50 ((~(v19(constB186) <=> (v20(constB186) | v21(constB186)))) | v19(constB186) | (~(v20(constB186) | v21(constB186)))),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22145,plain,
% 16.30/11.50 (~(v20(constB186) | v21(constB186))),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22144, 22143, 22123])).
% 16.30/11.50 tff(22146,plain,
% 16.30/11.50 ((v20(constB186) | v21(constB186)) | (~v21(constB186))),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22147,plain,
% 16.30/11.50 (~v21(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22146, 22145])).
% 16.30/11.50 tff(22148,plain,
% 16.30/11.50 ((~((~v21(constB186)) <=> v6(constB186))) | v21(constB186) | v6(constB186)),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22149,plain,
% 16.30/11.50 (v6(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22148, 22147, 22121])).
% 16.30/11.50 tff(22150,plain,
% 16.30/11.50 ((~(v6(constB186) <=> v13(constB186))) | (~v6(constB186)) | v13(constB186)),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22151,plain,
% 16.30/11.50 (v13(constB186)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22150, 22149, 22119])).
% 16.30/11.50 tff(22152,plain,
% 16.30/11.50 ((~(v13(constB186) <=> v9(constB185))) | (~v13(constB186)) | v9(constB185)),
% 16.30/11.50 inference(tautology,[status(thm)],[])).
% 16.30/11.50 tff(22153,plain,
% 16.30/11.50 (v9(constB185)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22152, 22151, 22117])).
% 16.30/11.50 tff(22154,plain,
% 16.30/11.50 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB185)) <=> v1(constB185))),
% 16.30/11.50 inference(quant_inst,[status(thm)],[])).
% 16.30/11.50 tff(22155,plain,
% 16.30/11.50 ((~v39(constB185)) <=> v1(constB185)),
% 16.30/11.50 inference(unit_resolution,[status(thm)],[22154, 139])).
% 16.30/11.50 tff(22156,plain,
% 16.30/11.50 ((~v1(constB185)) <=> (~v1(constB185))),
% 16.30/11.50 inference(rewrite,[status(thm)],[])).
% 16.30/11.50 tff(22157,axiom,(~v1(constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_185')).
% 16.30/11.50 tff(22158,plain,
% 16.30/11.50 (~v1(constB185)),
% 16.30/11.50 inference(modus_ponens,[status(thm)],[22157, 22156])).
% 16.30/11.50 tff(22159,plain,
% 16.30/11.51 ((~((~v39(constB185)) <=> v1(constB185))) | v39(constB185) | v1(constB185)),
% 16.30/11.51 inference(tautology,[status(thm)],[])).
% 16.30/11.51 tff(22160,plain,
% 16.30/11.51 ((~((~v39(constB185)) <=> v1(constB185))) | v39(constB185)),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22159, 22158])).
% 16.30/11.51 tff(22161,plain,
% 16.30/11.51 (v39(constB185)),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22160, 22155])).
% 16.30/11.51 tff(22162,plain,
% 16.30/11.51 ((~((~v39(constB185)) | (~v9(constB185)))) | (~v39(constB185)) | (~v9(constB185))),
% 16.30/11.51 inference(tautology,[status(thm)],[])).
% 16.30/11.51 tff(22163,plain,
% 16.30/11.51 ((~((~v39(constB185)) | (~v9(constB185)))) | (~v9(constB185))),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22162, 22161])).
% 16.30/11.51 tff(22164,plain,
% 16.30/11.51 (~((~v39(constB185)) | (~v9(constB185)))),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22163, 22153])).
% 16.30/11.51 tff(22165,plain,
% 16.30/11.51 ((~(v141(constB185) <=> (~((~v39(constB185)) | (~v9(constB185)))))) | v141(constB185) | ((~v39(constB185)) | (~v9(constB185)))),
% 16.30/11.51 inference(tautology,[status(thm)],[])).
% 16.30/11.51 tff(22166,plain,
% 16.30/11.51 (v141(constB185)),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22165, 22164, 22113])).
% 16.30/11.51 tff(22167,plain,
% 16.30/11.51 ((v141(constB185) | v26(constB185)) | (~v141(constB185))),
% 16.30/11.51 inference(tautology,[status(thm)],[])).
% 16.30/11.51 tff(22168,plain,
% 16.30/11.51 (v141(constB185) | v26(constB185)),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22167, 22166])).
% 16.30/11.51 tff(22169,plain,
% 16.30/11.51 ((~(v140(constB185) <=> (v141(constB185) | v26(constB185)))) | v140(constB185) | (~(v141(constB185) | v26(constB185)))),
% 16.30/11.51 inference(tautology,[status(thm)],[])).
% 16.30/11.51 tff(22170,plain,
% 16.30/11.51 (v140(constB185)),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22169, 22168, 22111])).
% 16.30/11.51 tff(22171,plain,
% 16.30/11.51 ((~((~v139(constB185)) <=> v140(constB185))) | (~v139(constB185)) | (~v140(constB185))),
% 16.30/11.51 inference(tautology,[status(thm)],[])).
% 16.30/11.51 tff(22172,plain,
% 16.30/11.51 (~v139(constB185)),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22171, 22170, 22109])).
% 16.30/11.51 tff(22173,plain,
% 16.30/11.51 (((~v130(constB185)) | (~v139(constB185))) | v139(constB185)),
% 16.30/11.51 inference(tautology,[status(thm)],[])).
% 16.30/11.51 tff(22174,plain,
% 16.30/11.51 ((~v130(constB185)) | (~v139(constB185))),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22173, 22172])).
% 16.30/11.51 tff(22175,plain,
% 16.30/11.51 ((~(v153(constB185) <=> (~((~v130(constB185)) | (~v139(constB185)))))) | (~v153(constB185)) | (~((~v130(constB185)) | (~v139(constB185))))),
% 16.30/11.51 inference(tautology,[status(thm)],[])).
% 16.30/11.51 tff(22176,plain,
% 16.30/11.51 (~v153(constB185)),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22175, 22174, 22107])).
% 16.30/11.51 tff(22177,plain,
% 16.30/11.51 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB185) <=> (~((~v132(constB185)) | (~v155(constB185)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB185) <=> (~((~v132(constB185)) | (~v155(constB185))))))),
% 16.30/11.51 inference(rewrite,[status(thm)],[])).
% 16.30/11.51 tff(22178,plain,
% 16.30/11.51 ((v154(constB185) <=> (~((~v155(constB185)) | (~v132(constB185))))) <=> (v154(constB185) <=> (~((~v132(constB185)) | (~v155(constB185)))))),
% 16.30/11.51 inference(rewrite,[status(thm)],[])).
% 16.30/11.51 tff(22179,plain,
% 16.30/11.51 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB185) <=> (~((~v155(constB185)) | (~v132(constB185)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB185) <=> (~((~v132(constB185)) | (~v155(constB185))))))),
% 16.30/11.51 inference(monotonicity,[status(thm)],[22178])).
% 16.30/11.51 tff(22180,plain,
% 16.30/11.51 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB185) <=> (~((~v155(constB185)) | (~v132(constB185)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB185) <=> (~((~v132(constB185)) | (~v155(constB185))))))),
% 16.30/11.51 inference(transitivity,[status(thm)],[22179, 22177])).
% 16.30/11.51 tff(22181,plain,
% 16.30/11.51 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB185) <=> (~((~v155(constB185)) | (~v132(constB185)))))),
% 16.30/11.51 inference(quant_inst,[status(thm)],[])).
% 16.30/11.51 tff(22182,plain,
% 16.30/11.51 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB185) <=> (~((~v132(constB185)) | (~v155(constB185)))))),
% 16.30/11.51 inference(modus_ponens,[status(thm)],[22181, 22180])).
% 16.30/11.51 tff(22183,plain,
% 16.30/11.51 (v154(constB185) <=> (~((~v132(constB185)) | (~v155(constB185))))),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22182, 399])).
% 16.30/11.51 tff(22184,plain,
% 16.30/11.51 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB185) <=> v137(constB185))),
% 16.30/11.51 inference(quant_inst,[status(thm)],[])).
% 16.30/11.51 tff(22185,plain,
% 16.30/11.51 (v132(constB185) <=> v137(constB185)),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22184, 558])).
% 16.30/11.51 tff(22186,plain,
% 16.30/11.51 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 16.30/11.51 inference(rewrite,[status(thm)],[])).
% 16.30/11.51 tff(22187,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_184')).
% 16.30/11.51 tff(22188,plain,
% 16.30/11.51 (nextState(constB184, constB185)),
% 16.30/11.51 inference(modus_ponens,[status(thm)],[22187, 22186])).
% 16.30/11.51 tff(22189,plain,
% 16.30/11.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB184, constB185)) | (v137(constB185) <=> v135(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB184, constB185)) | (v137(constB185) <=> v135(constB184)))),
% 16.30/11.51 inference(rewrite,[status(thm)],[])).
% 16.30/11.51 tff(22190,plain,
% 16.30/11.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB184, constB185)) | (v137(constB185) <=> v135(constB184)))),
% 16.30/11.51 inference(quant_inst,[status(thm)],[])).
% 16.30/11.51 tff(22191,plain,
% 16.30/11.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB184, constB185)) | (v137(constB185) <=> v135(constB184))),
% 16.30/11.51 inference(modus_ponens,[status(thm)],[22190, 22189])).
% 16.30/11.51 tff(22192,plain,
% 16.30/11.51 (v137(constB185) <=> v135(constB184)),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22191, 22188, 570])).
% 16.30/11.51 tff(22193,plain,
% 16.30/11.51 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB184) <=> (v138(constB184) | v142(constB184)))),
% 16.30/11.51 inference(quant_inst,[status(thm)],[])).
% 16.30/11.51 tff(22194,plain,
% 16.30/11.51 (v135(constB184) <=> (v138(constB184) | v142(constB184))),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22193, 584])).
% 16.30/11.51 tff(22195,plain,
% 16.30/11.51 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB184) <=> (~((~v143(constB184)) | (~v144(constB184)))))),
% 16.30/11.51 inference(quant_inst,[status(thm)],[])).
% 16.30/11.51 tff(22196,plain,
% 16.30/11.51 (v142(constB184) <=> (~((~v143(constB184)) | (~v144(constB184))))),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22195, 596])).
% 16.30/11.51 tff(22197,plain,
% 16.30/11.51 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB184) <=> (~((~v141(constB184)) | (~v145(constB184)))))),
% 16.30/11.51 inference(quant_inst,[status(thm)],[])).
% 16.30/11.51 tff(22198,plain,
% 16.30/11.51 (v144(constB184) <=> (~((~v141(constB184)) | (~v145(constB184))))),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22197, 608])).
% 16.30/11.51 tff(22199,plain,
% 16.30/11.51 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB184) <=> (~((~v39(constB184)) | (~v9(constB184)))))),
% 16.30/11.51 inference(quant_inst,[status(thm)],[])).
% 16.30/11.51 tff(22200,plain,
% 16.30/11.51 (v141(constB184) <=> (~((~v39(constB184)) | (~v9(constB184))))),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22199, 130])).
% 16.30/11.51 tff(22201,plain,
% 16.30/11.51 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB184)) <=> v1(constB184))),
% 16.30/11.51 inference(quant_inst,[status(thm)],[])).
% 16.30/11.51 tff(22202,plain,
% 16.30/11.51 ((~v39(constB184)) <=> v1(constB184)),
% 16.30/11.51 inference(unit_resolution,[status(thm)],[22201, 139])).
% 16.30/11.51 tff(22203,plain,
% 16.30/11.51 (v1(constB184) <=> v1(constB184)),
% 16.30/11.51 inference(rewrite,[status(thm)],[])).
% 16.30/11.51 tff(22204,axiom,(v1(constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_184')).
% 16.38/11.51 tff(22205,plain,
% 16.38/11.51 (v1(constB184)),
% 16.38/11.51 inference(modus_ponens,[status(thm)],[22204, 22203])).
% 16.38/11.51 tff(22206,plain,
% 16.38/11.51 ((~((~v39(constB184)) <=> v1(constB184))) | (~v39(constB184)) | (~v1(constB184))),
% 16.38/11.51 inference(tautology,[status(thm)],[])).
% 16.38/11.51 tff(22207,plain,
% 16.38/11.51 ((~((~v39(constB184)) <=> v1(constB184))) | (~v39(constB184))),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22206, 22205])).
% 16.38/11.51 tff(22208,plain,
% 16.38/11.51 (~v39(constB184)),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22207, 22202])).
% 16.38/11.51 tff(22209,plain,
% 16.38/11.51 (((~v39(constB184)) | (~v9(constB184))) | v39(constB184)),
% 16.38/11.51 inference(tautology,[status(thm)],[])).
% 16.38/11.51 tff(22210,plain,
% 16.38/11.51 ((~v39(constB184)) | (~v9(constB184))),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22209, 22208])).
% 16.38/11.51 tff(22211,plain,
% 16.38/11.51 ((~(v141(constB184) <=> (~((~v39(constB184)) | (~v9(constB184)))))) | (~v141(constB184)) | (~((~v39(constB184)) | (~v9(constB184))))),
% 16.38/11.51 inference(tautology,[status(thm)],[])).
% 16.38/11.51 tff(22212,plain,
% 16.38/11.51 ((~(v141(constB184) <=> (~((~v39(constB184)) | (~v9(constB184)))))) | (~v141(constB184))),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22211, 22210])).
% 16.38/11.51 tff(22213,plain,
% 16.38/11.51 (~v141(constB184)),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22212, 22200])).
% 16.38/11.51 tff(22214,plain,
% 16.38/11.51 (((~v141(constB184)) | (~v145(constB184))) | v141(constB184)),
% 16.38/11.51 inference(tautology,[status(thm)],[])).
% 16.38/11.51 tff(22215,plain,
% 16.38/11.51 ((~v141(constB184)) | (~v145(constB184))),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22214, 22213])).
% 16.38/11.51 tff(22216,plain,
% 16.38/11.51 ((~(v144(constB184) <=> (~((~v141(constB184)) | (~v145(constB184)))))) | (~v144(constB184)) | (~((~v141(constB184)) | (~v145(constB184))))),
% 16.38/11.51 inference(tautology,[status(thm)],[])).
% 16.38/11.51 tff(22217,plain,
% 16.38/11.51 ((~(v144(constB184) <=> (~((~v141(constB184)) | (~v145(constB184)))))) | (~v144(constB184))),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22216, 22215])).
% 16.38/11.51 tff(22218,plain,
% 16.38/11.51 (~v144(constB184)),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22217, 22198])).
% 16.38/11.51 tff(22219,plain,
% 16.38/11.51 (((~v143(constB184)) | (~v144(constB184))) | v144(constB184)),
% 16.38/11.51 inference(tautology,[status(thm)],[])).
% 16.38/11.51 tff(22220,plain,
% 16.38/11.51 ((~v143(constB184)) | (~v144(constB184))),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22219, 22218])).
% 16.38/11.51 tff(22221,plain,
% 16.38/11.51 ((~(v142(constB184) <=> (~((~v143(constB184)) | (~v144(constB184)))))) | (~v142(constB184)) | (~((~v143(constB184)) | (~v144(constB184))))),
% 16.38/11.51 inference(tautology,[status(thm)],[])).
% 16.38/11.51 tff(22222,plain,
% 16.38/11.51 (~v142(constB184)),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22221, 22220, 22196])).
% 16.38/11.51 tff(22223,plain,
% 16.38/11.51 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB184) <=> (~((~v132(constB184)) | (~v139(constB184)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB184) <=> (~((~v132(constB184)) | (~v139(constB184))))))),
% 16.38/11.51 inference(rewrite,[status(thm)],[])).
% 16.38/11.51 tff(22224,plain,
% 16.38/11.51 ((v138(constB184) <=> (~((~v139(constB184)) | (~v132(constB184))))) <=> (v138(constB184) <=> (~((~v132(constB184)) | (~v139(constB184)))))),
% 16.38/11.51 inference(rewrite,[status(thm)],[])).
% 16.38/11.51 tff(22225,plain,
% 16.38/11.51 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB184) <=> (~((~v139(constB184)) | (~v132(constB184)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB184) <=> (~((~v132(constB184)) | (~v139(constB184))))))),
% 16.38/11.51 inference(monotonicity,[status(thm)],[22224])).
% 16.38/11.51 tff(22226,plain,
% 16.38/11.51 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB184) <=> (~((~v139(constB184)) | (~v132(constB184)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB184) <=> (~((~v132(constB184)) | (~v139(constB184))))))),
% 16.38/11.51 inference(transitivity,[status(thm)],[22225, 22223])).
% 16.38/11.51 tff(22227,plain,
% 16.38/11.51 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB184) <=> (~((~v139(constB184)) | (~v132(constB184)))))),
% 16.38/11.51 inference(quant_inst,[status(thm)],[])).
% 16.38/11.51 tff(22228,plain,
% 16.38/11.51 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB184) <=> (~((~v132(constB184)) | (~v139(constB184)))))),
% 16.38/11.51 inference(modus_ponens,[status(thm)],[22227, 22226])).
% 16.38/11.51 tff(22229,plain,
% 16.38/11.51 (v138(constB184) <=> (~((~v132(constB184)) | (~v139(constB184))))),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22228, 644])).
% 16.38/11.51 tff(22230,plain,
% 16.38/11.51 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB184) <=> v137(constB184))),
% 16.38/11.51 inference(quant_inst,[status(thm)],[])).
% 16.38/11.51 tff(22231,plain,
% 16.38/11.51 (v132(constB184) <=> v137(constB184)),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22230, 558])).
% 16.38/11.51 tff(22232,plain,
% 16.38/11.51 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 16.38/11.51 inference(rewrite,[status(thm)],[])).
% 16.38/11.51 tff(22233,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_183')).
% 16.38/11.51 tff(22234,plain,
% 16.38/11.51 (nextState(constB183, constB184)),
% 16.38/11.51 inference(modus_ponens,[status(thm)],[22233, 22232])).
% 16.38/11.51 tff(22235,plain,
% 16.38/11.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB183, constB184)) | (v137(constB184) <=> v135(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB183, constB184)) | (v137(constB184) <=> v135(constB183)))),
% 16.38/11.51 inference(rewrite,[status(thm)],[])).
% 16.38/11.51 tff(22236,plain,
% 16.38/11.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB183, constB184)) | (v137(constB184) <=> v135(constB183)))),
% 16.38/11.51 inference(quant_inst,[status(thm)],[])).
% 16.38/11.51 tff(22237,plain,
% 16.38/11.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB183, constB184)) | (v137(constB184) <=> v135(constB183))),
% 16.38/11.51 inference(modus_ponens,[status(thm)],[22236, 22235])).
% 16.38/11.51 tff(22238,plain,
% 16.38/11.51 (v137(constB184) <=> v135(constB183)),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22237, 22234, 570])).
% 16.38/11.51 tff(22239,plain,
% 16.38/11.51 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB183) <=> (v138(constB183) | v142(constB183)))),
% 16.38/11.51 inference(quant_inst,[status(thm)],[])).
% 16.38/11.51 tff(22240,plain,
% 16.38/11.51 (v135(constB183) <=> (v138(constB183) | v142(constB183))),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22239, 584])).
% 16.38/11.51 tff(22241,plain,
% 16.38/11.51 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB183) <=> (~((~v132(constB183)) | (~v139(constB183)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB183) <=> (~((~v132(constB183)) | (~v139(constB183))))))),
% 16.38/11.51 inference(rewrite,[status(thm)],[])).
% 16.38/11.51 tff(22242,plain,
% 16.38/11.51 ((v138(constB183) <=> (~((~v139(constB183)) | (~v132(constB183))))) <=> (v138(constB183) <=> (~((~v132(constB183)) | (~v139(constB183)))))),
% 16.38/11.51 inference(rewrite,[status(thm)],[])).
% 16.38/11.51 tff(22243,plain,
% 16.38/11.51 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB183) <=> (~((~v139(constB183)) | (~v132(constB183)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB183) <=> (~((~v132(constB183)) | (~v139(constB183))))))),
% 16.38/11.51 inference(monotonicity,[status(thm)],[22242])).
% 16.38/11.51 tff(22244,plain,
% 16.38/11.51 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB183) <=> (~((~v139(constB183)) | (~v132(constB183)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB183) <=> (~((~v132(constB183)) | (~v139(constB183))))))),
% 16.38/11.51 inference(transitivity,[status(thm)],[22243, 22241])).
% 16.38/11.51 tff(22245,plain,
% 16.38/11.51 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB183) <=> (~((~v139(constB183)) | (~v132(constB183)))))),
% 16.38/11.51 inference(quant_inst,[status(thm)],[])).
% 16.38/11.51 tff(22246,plain,
% 16.38/11.51 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB183) <=> (~((~v132(constB183)) | (~v139(constB183)))))),
% 16.38/11.51 inference(modus_ponens,[status(thm)],[22245, 22244])).
% 16.38/11.51 tff(22247,plain,
% 16.38/11.51 (v138(constB183) <=> (~((~v132(constB183)) | (~v139(constB183))))),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22246, 644])).
% 16.38/11.51 tff(22248,plain,
% 16.38/11.51 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB183)) <=> v140(constB183))),
% 16.38/11.51 inference(quant_inst,[status(thm)],[])).
% 16.38/11.51 tff(22249,plain,
% 16.38/11.51 ((~v139(constB183)) <=> v140(constB183)),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22248, 203])).
% 16.38/11.51 tff(22250,plain,
% 16.38/11.51 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB183) <=> (v141(constB183) | v26(constB183)))),
% 16.38/11.51 inference(quant_inst,[status(thm)],[])).
% 16.38/11.51 tff(22251,plain,
% 16.38/11.51 (v140(constB183) <=> (v141(constB183) | v26(constB183))),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22250, 212])).
% 16.38/11.51 tff(22252,plain,
% 16.38/11.51 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB183) <=> (~((~v39(constB183)) | (~v9(constB183)))))),
% 16.38/11.51 inference(quant_inst,[status(thm)],[])).
% 16.38/11.51 tff(22253,plain,
% 16.38/11.51 (v141(constB183) <=> (~((~v39(constB183)) | (~v9(constB183))))),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22252, 130])).
% 16.38/11.51 tff(22254,plain,
% 16.38/11.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB183, constB184)) | (v13(constB184) <=> v9(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB183, constB184)) | (v13(constB184) <=> v9(constB183)))),
% 16.38/11.51 inference(rewrite,[status(thm)],[])).
% 16.38/11.51 tff(22255,plain,
% 16.38/11.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB183, constB184)) | (v13(constB184) <=> v9(constB183)))),
% 16.38/11.51 inference(quant_inst,[status(thm)],[])).
% 16.38/11.51 tff(22256,plain,
% 16.38/11.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB183, constB184)) | (v13(constB184) <=> v9(constB183))),
% 16.38/11.51 inference(modus_ponens,[status(thm)],[22255, 22254])).
% 16.38/11.51 tff(22257,plain,
% 16.38/11.51 (v13(constB184) <=> v9(constB183)),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22256, 22234, 226])).
% 16.38/11.51 tff(22258,plain,
% 16.38/11.51 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB184) <=> v13(constB184))),
% 16.38/11.51 inference(quant_inst,[status(thm)],[])).
% 16.38/11.51 tff(22259,plain,
% 16.38/11.51 (v6(constB184) <=> v13(constB184)),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22258, 240])).
% 16.38/11.51 tff(22260,plain,
% 16.38/11.51 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB184)) <=> v6(constB184))),
% 16.38/11.51 inference(quant_inst,[status(thm)],[])).
% 16.38/11.51 tff(22261,plain,
% 16.38/11.51 ((~v21(constB184)) <=> v6(constB184)),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22260, 249])).
% 16.38/11.51 tff(22262,plain,
% 16.38/11.51 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB184) <=> (v20(constB184) | v21(constB184)))),
% 16.38/11.51 inference(quant_inst,[status(thm)],[])).
% 16.38/11.51 tff(22263,plain,
% 16.38/11.51 (v19(constB184) <=> (v20(constB184) | v21(constB184))),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22262, 258])).
% 16.38/11.51 tff(22264,plain,
% 16.38/11.51 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB184) <=> (~((~v19(constB184)) | (~v22(constB184)))))),
% 16.38/11.51 inference(quant_inst,[status(thm)],[])).
% 16.38/11.51 tff(22265,plain,
% 16.38/11.51 (v18(constB184) <=> (~((~v19(constB184)) | (~v22(constB184))))),
% 16.38/11.51 inference(unit_resolution,[status(thm)],[22264, 270])).
% 16.38/11.51 tff(22266,plain,
% 16.38/11.51 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB184)) <=> v18(constB184))),
% 16.38/11.52 inference(quant_inst,[status(thm)],[])).
% 16.38/11.52 tff(22267,plain,
% 16.38/11.52 ((~v4(constB184)) <=> v18(constB184)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22266, 279])).
% 16.38/11.52 tff(22268,plain,
% 16.38/11.52 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB184)),
% 16.38/11.52 inference(quant_inst,[status(thm)],[])).
% 16.38/11.52 tff(22269,plain,
% 16.38/11.52 (v4(constB184)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22268, 288])).
% 16.38/11.52 tff(22270,plain,
% 16.38/11.52 ((~((~v4(constB184)) <=> v18(constB184))) | (~v4(constB184)) | (~v18(constB184))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22271,plain,
% 16.38/11.52 (~v18(constB184)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22270, 22269, 22267])).
% 16.38/11.52 tff(22272,plain,
% 16.38/11.52 ((~(v18(constB184) <=> (~((~v19(constB184)) | (~v22(constB184)))))) | v18(constB184) | ((~v19(constB184)) | (~v22(constB184)))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22273,plain,
% 16.38/11.52 ((~v19(constB184)) | (~v22(constB184))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22272, 22271, 22265])).
% 16.38/11.52 tff(22274,plain,
% 16.38/11.52 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB184) <=> (v1(constB184) | v6(constB184)))),
% 16.38/11.52 inference(quant_inst,[status(thm)],[])).
% 16.38/11.52 tff(22275,plain,
% 16.38/11.52 (v22(constB184) <=> (v1(constB184) | v6(constB184))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22274, 301])).
% 16.38/11.52 tff(22276,plain,
% 16.38/11.52 ((v1(constB184) | v6(constB184)) | (~v1(constB184))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22277,plain,
% 16.38/11.52 (v1(constB184) | v6(constB184)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22276, 22205])).
% 16.38/11.52 tff(22278,plain,
% 16.38/11.52 ((~(v22(constB184) <=> (v1(constB184) | v6(constB184)))) | v22(constB184) | (~(v1(constB184) | v6(constB184)))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22279,plain,
% 16.38/11.52 ((~(v22(constB184) <=> (v1(constB184) | v6(constB184)))) | v22(constB184)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22278, 22277])).
% 16.38/11.52 tff(22280,plain,
% 16.38/11.52 (v22(constB184)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22279, 22275])).
% 16.38/11.52 tff(22281,plain,
% 16.38/11.52 ((~((~v19(constB184)) | (~v22(constB184)))) | (~v19(constB184)) | (~v22(constB184))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22282,plain,
% 16.38/11.52 ((~((~v19(constB184)) | (~v22(constB184)))) | (~v19(constB184))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22281, 22280])).
% 16.38/11.52 tff(22283,plain,
% 16.38/11.52 (~v19(constB184)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22282, 22273])).
% 16.38/11.52 tff(22284,plain,
% 16.38/11.52 ((~(v19(constB184) <=> (v20(constB184) | v21(constB184)))) | v19(constB184) | (~(v20(constB184) | v21(constB184)))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22285,plain,
% 16.38/11.52 (~(v20(constB184) | v21(constB184))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22284, 22283, 22263])).
% 16.38/11.52 tff(22286,plain,
% 16.38/11.52 ((v20(constB184) | v21(constB184)) | (~v21(constB184))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22287,plain,
% 16.38/11.52 (~v21(constB184)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22286, 22285])).
% 16.38/11.52 tff(22288,plain,
% 16.38/11.52 ((~((~v21(constB184)) <=> v6(constB184))) | v21(constB184) | v6(constB184)),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22289,plain,
% 16.38/11.52 (v6(constB184)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22288, 22287, 22261])).
% 16.38/11.52 tff(22290,plain,
% 16.38/11.52 ((~(v6(constB184) <=> v13(constB184))) | (~v6(constB184)) | v13(constB184)),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22291,plain,
% 16.38/11.52 (v13(constB184)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22290, 22289, 22259])).
% 16.38/11.52 tff(22292,plain,
% 16.38/11.52 ((~(v13(constB184) <=> v9(constB183))) | (~v13(constB184)) | v9(constB183)),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22293,plain,
% 16.38/11.52 (v9(constB183)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22292, 22291, 22257])).
% 16.38/11.52 tff(22294,plain,
% 16.38/11.52 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB183)) <=> v1(constB183))),
% 16.38/11.52 inference(quant_inst,[status(thm)],[])).
% 16.38/11.52 tff(22295,plain,
% 16.38/11.52 ((~v39(constB183)) <=> v1(constB183)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22294, 139])).
% 16.38/11.52 tff(22296,plain,
% 16.38/11.52 ((~v1(constB183)) <=> (~v1(constB183))),
% 16.38/11.52 inference(rewrite,[status(thm)],[])).
% 16.38/11.52 tff(22297,axiom,(~v1(constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_183')).
% 16.38/11.52 tff(22298,plain,
% 16.38/11.52 (~v1(constB183)),
% 16.38/11.52 inference(modus_ponens,[status(thm)],[22297, 22296])).
% 16.38/11.52 tff(22299,plain,
% 16.38/11.52 ((~((~v39(constB183)) <=> v1(constB183))) | v39(constB183) | v1(constB183)),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22300,plain,
% 16.38/11.52 ((~((~v39(constB183)) <=> v1(constB183))) | v39(constB183)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22299, 22298])).
% 16.38/11.52 tff(22301,plain,
% 16.38/11.52 (v39(constB183)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22300, 22295])).
% 16.38/11.52 tff(22302,plain,
% 16.38/11.52 ((~((~v39(constB183)) | (~v9(constB183)))) | (~v39(constB183)) | (~v9(constB183))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22303,plain,
% 16.38/11.52 ((~((~v39(constB183)) | (~v9(constB183)))) | (~v9(constB183))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22302, 22301])).
% 16.38/11.52 tff(22304,plain,
% 16.38/11.52 (~((~v39(constB183)) | (~v9(constB183)))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22303, 22293])).
% 16.38/11.52 tff(22305,plain,
% 16.38/11.52 ((~(v141(constB183) <=> (~((~v39(constB183)) | (~v9(constB183)))))) | v141(constB183) | ((~v39(constB183)) | (~v9(constB183)))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22306,plain,
% 16.38/11.52 (v141(constB183)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22305, 22304, 22253])).
% 16.38/11.52 tff(22307,plain,
% 16.38/11.52 ((v141(constB183) | v26(constB183)) | (~v141(constB183))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22308,plain,
% 16.38/11.52 (v141(constB183) | v26(constB183)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22307, 22306])).
% 16.38/11.52 tff(22309,plain,
% 16.38/11.52 ((~(v140(constB183) <=> (v141(constB183) | v26(constB183)))) | v140(constB183) | (~(v141(constB183) | v26(constB183)))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22310,plain,
% 16.38/11.52 (v140(constB183)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22309, 22308, 22251])).
% 16.38/11.52 tff(22311,plain,
% 16.38/11.52 ((~((~v139(constB183)) <=> v140(constB183))) | (~v139(constB183)) | (~v140(constB183))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22312,plain,
% 16.38/11.52 (~v139(constB183)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22311, 22310, 22249])).
% 16.38/11.52 tff(22313,plain,
% 16.38/11.52 (((~v132(constB183)) | (~v139(constB183))) | v139(constB183)),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22314,plain,
% 16.38/11.52 ((~v132(constB183)) | (~v139(constB183))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22313, 22312])).
% 16.38/11.52 tff(22315,plain,
% 16.38/11.52 ((~(v138(constB183) <=> (~((~v132(constB183)) | (~v139(constB183)))))) | (~v138(constB183)) | (~((~v132(constB183)) | (~v139(constB183))))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22316,plain,
% 16.38/11.52 (~v138(constB183)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22315, 22314, 22247])).
% 16.38/11.52 tff(22317,plain,
% 16.38/11.52 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB183) <=> (~((~v143(constB183)) | (~v144(constB183)))))),
% 16.38/11.52 inference(quant_inst,[status(thm)],[])).
% 16.38/11.52 tff(22318,plain,
% 16.38/11.52 (v142(constB183) <=> (~((~v143(constB183)) | (~v144(constB183))))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22317, 596])).
% 16.38/11.52 tff(22319,plain,
% 16.38/11.52 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB183) <=> (~((~v141(constB183)) | (~v145(constB183)))))),
% 16.38/11.52 inference(quant_inst,[status(thm)],[])).
% 16.38/11.52 tff(22320,plain,
% 16.38/11.52 (v144(constB183) <=> (~((~v141(constB183)) | (~v145(constB183))))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22319, 608])).
% 16.38/11.52 tff(22321,plain,
% 16.38/11.52 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB183) <=> (~(v84(constB183, 1) | v84(constB183, 2) | (~v84(constB183, 0)))))),
% 16.38/11.52 inference(quant_inst,[status(thm)],[])).
% 16.38/11.52 tff(22322,plain,
% 16.38/11.52 (v145(constB183) <=> (~(v84(constB183, 1) | v84(constB183, 2) | (~v84(constB183, 0))))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22321, 755])).
% 16.38/11.52 tff(22323,plain,
% 16.38/11.52 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 16.38/11.52 inference(rewrite,[status(thm)],[])).
% 16.38/11.52 tff(22324,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_182')).
% 16.38/11.52 tff(22325,plain,
% 16.38/11.52 (nextState(constB182, constB183)),
% 16.38/11.52 inference(modus_ponens,[status(thm)],[22324, 22323])).
% 16.38/11.52 tff(22326,plain,
% 16.38/11.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB182, constB183)) | (v94(constB183) <=> (~((~v95(constB183)) | (~v104(constB183))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB182, constB183)) | (v94(constB183) <=> (~((~v95(constB183)) | (~v104(constB183))))))),
% 16.38/11.52 inference(rewrite,[status(thm)],[])).
% 16.38/11.52 tff(22327,plain,
% 16.38/11.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB182, constB183)) | (v94(constB183) <=> (~((~v95(constB183)) | (~v104(constB183))))))),
% 16.38/11.52 inference(quant_inst,[status(thm)],[])).
% 16.38/11.52 tff(22328,plain,
% 16.38/11.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB182, constB183)) | (v94(constB183) <=> (~((~v95(constB183)) | (~v104(constB183)))))),
% 16.38/11.52 inference(modus_ponens,[status(thm)],[22327, 22326])).
% 16.38/11.52 tff(22329,plain,
% 16.38/11.52 (v94(constB183) <=> (~((~v95(constB183)) | (~v104(constB183))))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22328, 22325, 770])).
% 16.38/11.52 tff(22330,plain,
% 16.38/11.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183))))))),
% 16.38/11.52 inference(rewrite,[status(thm)],[])).
% 16.38/11.52 tff(22331,plain,
% 16.38/11.52 (((~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v96(constB183)) | (~v1(constB183)))))) <=> ((~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183))))))),
% 16.38/11.52 inference(rewrite,[status(thm)],[])).
% 16.38/11.52 tff(22332,plain,
% 16.38/11.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v96(constB183)) | (~v1(constB183))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183)))))))),
% 16.38/11.52 inference(monotonicity,[status(thm)],[22331])).
% 16.38/11.52 tff(22333,plain,
% 16.38/11.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v96(constB183)) | (~v1(constB183))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183))))))),
% 16.38/11.52 inference(transitivity,[status(thm)],[22332, 22330])).
% 16.38/11.52 tff(22334,plain,
% 16.38/11.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v96(constB183)) | (~v1(constB183))))))),
% 16.38/11.52 inference(quant_inst,[status(thm)],[])).
% 16.38/11.52 tff(22335,plain,
% 16.38/11.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183)))))),
% 16.38/11.52 inference(modus_ponens,[status(thm)],[22334, 22333])).
% 16.38/11.52 tff(22336,plain,
% 16.38/11.52 (v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183))))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22335, 22325, 790])).
% 16.38/11.52 tff(22337,plain,
% 16.38/11.52 (((~v1(constB183)) | (~v96(constB183))) | v1(constB183)),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22338,plain,
% 16.38/11.52 ((~v1(constB183)) | (~v96(constB183))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22337, 22298])).
% 16.38/11.52 tff(22339,plain,
% 16.38/11.52 ((~(v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183)))))) | (~v95(constB183)) | (~((~v1(constB183)) | (~v96(constB183))))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22340,plain,
% 16.38/11.52 ((~(v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183)))))) | (~v95(constB183))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22339, 22338])).
% 16.38/11.52 tff(22341,plain,
% 16.38/11.52 (~v95(constB183)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22340, 22336])).
% 16.38/11.52 tff(22342,plain,
% 16.38/11.52 (((~v95(constB183)) | (~v104(constB183))) | v95(constB183)),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22343,plain,
% 16.38/11.52 ((~v95(constB183)) | (~v104(constB183))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22342, 22341])).
% 16.38/11.52 tff(22344,plain,
% 16.38/11.52 ((~(v94(constB183) <=> (~((~v95(constB183)) | (~v104(constB183)))))) | (~v94(constB183)) | (~((~v95(constB183)) | (~v104(constB183))))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22345,plain,
% 16.38/11.52 (~v94(constB183)),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22344, 22343, 22329])).
% 16.38/11.52 tff(22346,plain,
% 16.38/11.52 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB183) | (~nextState(constB182, constB183)) | (~(((~v84(constB183, 1)) <=> v84(constB182, 1)) | ((~v84(constB183, 2)) <=> v84(constB182, 2)) | ((~v84(constB183, 0)) <=> v84(constB182, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB183) | (~nextState(constB182, constB183)) | (~(((~v84(constB183, 1)) <=> v84(constB182, 1)) | ((~v84(constB183, 2)) <=> v84(constB182, 2)) | ((~v84(constB183, 0)) <=> v84(constB182, 0)))))),
% 16.38/11.52 inference(rewrite,[status(thm)],[])).
% 16.38/11.52 tff(22347,plain,
% 16.38/11.52 ((v94(constB183) | (~nextState(constB182, constB183)) | (~(((~v84(constB183, 2)) <=> v84(constB182, 2)) | ((~v84(constB183, 1)) <=> v84(constB182, 1)) | ((~v84(constB183, 0)) <=> v84(constB182, 0))))) <=> (v94(constB183) | (~nextState(constB182, constB183)) | (~(((~v84(constB183, 1)) <=> v84(constB182, 1)) | ((~v84(constB183, 2)) <=> v84(constB182, 2)) | ((~v84(constB183, 0)) <=> v84(constB182, 0)))))),
% 16.38/11.52 inference(rewrite,[status(thm)],[])).
% 16.38/11.52 tff(22348,plain,
% 16.38/11.52 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB183) | (~nextState(constB182, constB183)) | (~(((~v84(constB183, 2)) <=> v84(constB182, 2)) | ((~v84(constB183, 1)) <=> v84(constB182, 1)) | ((~v84(constB183, 0)) <=> v84(constB182, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB183) | (~nextState(constB182, constB183)) | (~(((~v84(constB183, 1)) <=> v84(constB182, 1)) | ((~v84(constB183, 2)) <=> v84(constB182, 2)) | ((~v84(constB183, 0)) <=> v84(constB182, 0))))))),
% 16.38/11.52 inference(monotonicity,[status(thm)],[22347])).
% 16.38/11.52 tff(22349,plain,
% 16.38/11.52 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB183) | (~nextState(constB182, constB183)) | (~(((~v84(constB183, 2)) <=> v84(constB182, 2)) | ((~v84(constB183, 1)) <=> v84(constB182, 1)) | ((~v84(constB183, 0)) <=> v84(constB182, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB183) | (~nextState(constB182, constB183)) | (~(((~v84(constB183, 1)) <=> v84(constB182, 1)) | ((~v84(constB183, 2)) <=> v84(constB182, 2)) | ((~v84(constB183, 0)) <=> v84(constB182, 0)))))),
% 16.38/11.52 inference(transitivity,[status(thm)],[22348, 22346])).
% 16.38/11.52 tff(22350,plain,
% 16.38/11.52 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB183) | (~nextState(constB182, constB183)) | (~(((~v84(constB183, 2)) <=> v84(constB182, 2)) | ((~v84(constB183, 1)) <=> v84(constB182, 1)) | ((~v84(constB183, 0)) <=> v84(constB182, 0)))))),
% 16.38/11.52 inference(quant_inst,[status(thm)],[])).
% 16.38/11.52 tff(22351,plain,
% 16.38/11.52 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB183) | (~nextState(constB182, constB183)) | (~(((~v84(constB183, 1)) <=> v84(constB182, 1)) | ((~v84(constB183, 2)) <=> v84(constB182, 2)) | ((~v84(constB183, 0)) <=> v84(constB182, 0))))),
% 16.38/11.52 inference(modus_ponens,[status(thm)],[22350, 22349])).
% 16.38/11.52 tff(22352,plain,
% 16.38/11.52 (v94(constB183) | (~(((~v84(constB183, 1)) <=> v84(constB182, 1)) | ((~v84(constB183, 2)) <=> v84(constB182, 2)) | ((~v84(constB183, 0)) <=> v84(constB182, 0))))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22351, 22325, 819])).
% 16.38/11.52 tff(22353,plain,
% 16.38/11.52 (~(((~v84(constB183, 1)) <=> v84(constB182, 1)) | ((~v84(constB183, 2)) <=> v84(constB182, 2)) | ((~v84(constB183, 0)) <=> v84(constB182, 0)))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22352, 22345])).
% 16.38/11.52 tff(22354,plain,
% 16.38/11.52 ((((~v84(constB183, 1)) <=> v84(constB182, 1)) | ((~v84(constB183, 2)) <=> v84(constB182, 2)) | ((~v84(constB183, 0)) <=> v84(constB182, 0))) | (~((~v84(constB183, 0)) <=> v84(constB182, 0)))),
% 16.38/11.52 inference(tautology,[status(thm)],[])).
% 16.38/11.52 tff(22355,plain,
% 16.38/11.52 (~((~v84(constB183, 0)) <=> v84(constB182, 0))),
% 16.38/11.52 inference(unit_resolution,[status(thm)],[22354, 22353])).
% 16.38/11.52 tff(22356,plain,
% 16.38/11.52 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 16.38/11.52 inference(rewrite,[status(thm)],[])).
% 16.38/11.52 tff(22357,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_181')).
% 16.38/11.52 tff(22358,plain,
% 16.38/11.52 (nextState(constB181, constB182)),
% 16.38/11.52 inference(modus_ponens,[status(thm)],[22357, 22356])).
% 16.38/11.52 tff(22359,plain,
% 16.38/11.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB181, constB182)) | (~(((~v123(constB182, 2)) <=> v121(constB181, 2)) | ((~v123(constB182, 1)) <=> v121(constB181, 1)) | ((~v123(constB182, 0)) <=> v121(constB181, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB181, constB182)) | (~(((~v123(constB182, 2)) <=> v121(constB181, 2)) | ((~v123(constB182, 1)) <=> v121(constB181, 1)) | ((~v123(constB182, 0)) <=> v121(constB181, 0)))))),
% 16.38/11.52 inference(rewrite,[status(thm)],[])).
% 16.38/11.52 tff(22360,plain,
% 16.38/11.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB181, constB182)) | (~(((~v123(constB182, 2)) <=> v121(constB181, 2)) | ((~v123(constB182, 1)) <=> v121(constB181, 1)) | ((~v123(constB182, 0)) <=> v121(constB181, 0)))))),
% 16.38/11.53 inference(quant_inst,[status(thm)],[])).
% 16.38/11.53 tff(22361,plain,
% 16.38/11.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB181, constB182)) | (~(((~v123(constB182, 2)) <=> v121(constB181, 2)) | ((~v123(constB182, 1)) <=> v121(constB181, 1)) | ((~v123(constB182, 0)) <=> v121(constB181, 0))))),
% 16.38/11.53 inference(modus_ponens,[status(thm)],[22360, 22359])).
% 16.38/11.53 tff(22362,plain,
% 16.38/11.53 (~(((~v123(constB182, 2)) <=> v121(constB181, 2)) | ((~v123(constB182, 1)) <=> v121(constB181, 1)) | ((~v123(constB182, 0)) <=> v121(constB181, 0)))),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22361, 22358, 842])).
% 16.38/11.53 tff(22363,plain,
% 16.38/11.53 ((((~v123(constB182, 2)) <=> v121(constB181, 2)) | ((~v123(constB182, 1)) <=> v121(constB181, 1)) | ((~v123(constB182, 0)) <=> v121(constB181, 0))) | (~((~v123(constB182, 0)) <=> v121(constB181, 0)))),
% 16.38/11.53 inference(tautology,[status(thm)],[])).
% 16.38/11.53 tff(22364,plain,
% 16.38/11.53 (~((~v123(constB182, 0)) <=> v121(constB181, 0))),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22363, 22362])).
% 16.38/11.53 tff(22365,plain,
% 16.38/11.53 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB181) <=> v26(constB181))),
% 16.38/11.53 inference(quant_inst,[status(thm)],[])).
% 16.38/11.53 tff(22366,plain,
% 16.38/11.53 (v105(constB181) <=> v26(constB181)),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22365, 861])).
% 16.38/11.53 tff(22367,plain,
% 16.38/11.53 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB181))),
% 16.38/11.53 inference(quant_inst,[status(thm)],[])).
% 16.38/11.53 tff(22368,plain,
% 16.38/11.53 (~v26(constB181)),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22367, 873])).
% 16.38/11.53 tff(22369,plain,
% 16.38/11.53 ((~(v105(constB181) <=> v26(constB181))) | (~v105(constB181)) | v26(constB181)),
% 16.38/11.53 inference(tautology,[status(thm)],[])).
% 16.38/11.53 tff(22370,plain,
% 16.38/11.53 ((~(v105(constB181) <=> v26(constB181))) | (~v105(constB181))),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22369, 22368])).
% 16.38/11.53 tff(22371,plain,
% 16.38/11.53 (~v105(constB181)),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22370, 22366])).
% 16.38/11.53 tff(22372,plain,
% 16.38/11.53 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB181) | (~(((~v121(constB181, 2)) <=> v124(constB181, 2)) | ((~v121(constB181, 0)) <=> v124(constB181, 0)) | ((~v121(constB181, 1)) <=> v124(constB181, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB181) | (~(((~v121(constB181, 2)) <=> v124(constB181, 2)) | ((~v121(constB181, 0)) <=> v124(constB181, 0)) | ((~v121(constB181, 1)) <=> v124(constB181, 1)))))),
% 16.38/11.53 inference(rewrite,[status(thm)],[])).
% 16.38/11.53 tff(22373,plain,
% 16.38/11.53 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB181) | (~(((~v121(constB181, 2)) <=> v124(constB181, 2)) | ((~v121(constB181, 0)) <=> v124(constB181, 0)) | ((~v121(constB181, 1)) <=> v124(constB181, 1)))))),
% 16.38/11.53 inference(quant_inst,[status(thm)],[])).
% 16.38/11.53 tff(22374,plain,
% 16.38/11.53 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB181) | (~(((~v121(constB181, 2)) <=> v124(constB181, 2)) | ((~v121(constB181, 0)) <=> v124(constB181, 0)) | ((~v121(constB181, 1)) <=> v124(constB181, 1))))),
% 16.38/11.53 inference(modus_ponens,[status(thm)],[22373, 22372])).
% 16.38/11.53 tff(22375,plain,
% 16.38/11.53 (v105(constB181) | (~(((~v121(constB181, 2)) <=> v124(constB181, 2)) | ((~v121(constB181, 0)) <=> v124(constB181, 0)) | ((~v121(constB181, 1)) <=> v124(constB181, 1))))),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22374, 891])).
% 16.38/11.53 tff(22376,plain,
% 16.38/11.53 (~(((~v121(constB181, 2)) <=> v124(constB181, 2)) | ((~v121(constB181, 0)) <=> v124(constB181, 0)) | ((~v121(constB181, 1)) <=> v124(constB181, 1)))),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22375, 22371])).
% 16.38/11.53 tff(22377,plain,
% 16.38/11.53 ((((~v121(constB181, 2)) <=> v124(constB181, 2)) | ((~v121(constB181, 0)) <=> v124(constB181, 0)) | ((~v121(constB181, 1)) <=> v124(constB181, 1))) | (~((~v121(constB181, 0)) <=> v124(constB181, 0)))),
% 16.38/11.53 inference(tautology,[status(thm)],[])).
% 16.38/11.53 tff(22378,plain,
% 16.38/11.53 (~((~v121(constB181, 0)) <=> v124(constB181, 0))),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22377, 22376])).
% 16.38/11.53 tff(22379,plain,
% 16.38/11.53 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB181) <=> (~(v84(constB181, 2) | (~v84(constB181, 1)) | (~v84(constB181, 0)))))),
% 16.38/11.53 inference(quant_inst,[status(thm)],[])).
% 16.38/11.53 tff(22380,plain,
% 16.38/11.53 (v116(constB181) <=> (~(v84(constB181, 2) | (~v84(constB181, 1)) | (~v84(constB181, 0))))),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22379, 911])).
% 16.38/11.53 tff(22381,plain,
% 16.38/11.53 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 16.38/11.53 inference(rewrite,[status(thm)],[])).
% 16.38/11.53 tff(22382,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_180')).
% 16.38/11.53 tff(22383,plain,
% 16.38/11.53 (nextState(constB180, constB181)),
% 16.38/11.53 inference(modus_ponens,[status(thm)],[22382, 22381])).
% 16.38/11.53 tff(22384,plain,
% 16.38/11.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB180, constB181)) | (v94(constB181) <=> (~((~v95(constB181)) | (~v104(constB181))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB180, constB181)) | (v94(constB181) <=> (~((~v95(constB181)) | (~v104(constB181))))))),
% 16.38/11.53 inference(rewrite,[status(thm)],[])).
% 16.38/11.53 tff(22385,plain,
% 16.38/11.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB180, constB181)) | (v94(constB181) <=> (~((~v95(constB181)) | (~v104(constB181))))))),
% 16.38/11.53 inference(quant_inst,[status(thm)],[])).
% 16.38/11.53 tff(22386,plain,
% 16.38/11.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB180, constB181)) | (v94(constB181) <=> (~((~v95(constB181)) | (~v104(constB181)))))),
% 16.38/11.53 inference(modus_ponens,[status(thm)],[22385, 22384])).
% 16.38/11.53 tff(22387,plain,
% 16.38/11.53 (v94(constB181) <=> (~((~v95(constB181)) | (~v104(constB181))))),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22386, 22383, 770])).
% 16.38/11.53 tff(22388,plain,
% 16.38/11.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181))))))),
% 16.38/11.53 inference(rewrite,[status(thm)],[])).
% 16.38/11.53 tff(22389,plain,
% 16.38/11.53 (((~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v96(constB181)) | (~v1(constB181)))))) <=> ((~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181))))))),
% 16.38/11.53 inference(rewrite,[status(thm)],[])).
% 16.38/11.53 tff(22390,plain,
% 16.38/11.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v96(constB181)) | (~v1(constB181))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181)))))))),
% 16.38/11.53 inference(monotonicity,[status(thm)],[22389])).
% 16.38/11.53 tff(22391,plain,
% 16.38/11.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v96(constB181)) | (~v1(constB181))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181))))))),
% 16.38/11.53 inference(transitivity,[status(thm)],[22390, 22388])).
% 16.38/11.53 tff(22392,plain,
% 16.38/11.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v96(constB181)) | (~v1(constB181))))))),
% 16.38/11.53 inference(quant_inst,[status(thm)],[])).
% 16.38/11.53 tff(22393,plain,
% 16.38/11.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181)))))),
% 16.38/11.53 inference(modus_ponens,[status(thm)],[22392, 22391])).
% 16.38/11.53 tff(22394,plain,
% 16.38/11.53 (v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181))))),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22393, 22383, 790])).
% 16.38/11.53 tff(22395,plain,
% 16.38/11.53 ((~v1(constB181)) <=> (~v1(constB181))),
% 16.38/11.53 inference(rewrite,[status(thm)],[])).
% 16.38/11.53 tff(22396,axiom,(~v1(constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_181')).
% 16.38/11.53 tff(22397,plain,
% 16.38/11.53 (~v1(constB181)),
% 16.38/11.53 inference(modus_ponens,[status(thm)],[22396, 22395])).
% 16.38/11.53 tff(22398,plain,
% 16.38/11.53 (((~v1(constB181)) | (~v96(constB181))) | v1(constB181)),
% 16.38/11.53 inference(tautology,[status(thm)],[])).
% 16.38/11.53 tff(22399,plain,
% 16.38/11.53 ((~v1(constB181)) | (~v96(constB181))),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22398, 22397])).
% 16.38/11.53 tff(22400,plain,
% 16.38/11.53 ((~(v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181)))))) | (~v95(constB181)) | (~((~v1(constB181)) | (~v96(constB181))))),
% 16.38/11.53 inference(tautology,[status(thm)],[])).
% 16.38/11.53 tff(22401,plain,
% 16.38/11.53 ((~(v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181)))))) | (~v95(constB181))),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22400, 22399])).
% 16.38/11.53 tff(22402,plain,
% 16.38/11.53 (~v95(constB181)),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22401, 22394])).
% 16.38/11.53 tff(22403,plain,
% 16.38/11.53 (((~v95(constB181)) | (~v104(constB181))) | v95(constB181)),
% 16.38/11.53 inference(tautology,[status(thm)],[])).
% 16.38/11.53 tff(22404,plain,
% 16.38/11.53 ((~v95(constB181)) | (~v104(constB181))),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22403, 22402])).
% 16.38/11.53 tff(22405,plain,
% 16.38/11.53 ((~(v94(constB181) <=> (~((~v95(constB181)) | (~v104(constB181)))))) | (~v94(constB181)) | (~((~v95(constB181)) | (~v104(constB181))))),
% 16.38/11.53 inference(tautology,[status(thm)],[])).
% 16.38/11.53 tff(22406,plain,
% 16.38/11.53 (~v94(constB181)),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22405, 22404, 22387])).
% 16.38/11.53 tff(22407,plain,
% 16.38/11.53 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB181) | (~nextState(constB180, constB181)) | (~(((~v84(constB181, 1)) <=> v84(constB180, 1)) | ((~v84(constB181, 2)) <=> v84(constB180, 2)) | ((~v84(constB181, 0)) <=> v84(constB180, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB181) | (~nextState(constB180, constB181)) | (~(((~v84(constB181, 1)) <=> v84(constB180, 1)) | ((~v84(constB181, 2)) <=> v84(constB180, 2)) | ((~v84(constB181, 0)) <=> v84(constB180, 0)))))),
% 16.38/11.53 inference(rewrite,[status(thm)],[])).
% 16.38/11.53 tff(22408,plain,
% 16.38/11.53 ((v94(constB181) | (~nextState(constB180, constB181)) | (~(((~v84(constB181, 2)) <=> v84(constB180, 2)) | ((~v84(constB181, 1)) <=> v84(constB180, 1)) | ((~v84(constB181, 0)) <=> v84(constB180, 0))))) <=> (v94(constB181) | (~nextState(constB180, constB181)) | (~(((~v84(constB181, 1)) <=> v84(constB180, 1)) | ((~v84(constB181, 2)) <=> v84(constB180, 2)) | ((~v84(constB181, 0)) <=> v84(constB180, 0)))))),
% 16.38/11.53 inference(rewrite,[status(thm)],[])).
% 16.38/11.53 tff(22409,plain,
% 16.38/11.53 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB181) | (~nextState(constB180, constB181)) | (~(((~v84(constB181, 2)) <=> v84(constB180, 2)) | ((~v84(constB181, 1)) <=> v84(constB180, 1)) | ((~v84(constB181, 0)) <=> v84(constB180, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB181) | (~nextState(constB180, constB181)) | (~(((~v84(constB181, 1)) <=> v84(constB180, 1)) | ((~v84(constB181, 2)) <=> v84(constB180, 2)) | ((~v84(constB181, 0)) <=> v84(constB180, 0))))))),
% 16.38/11.53 inference(monotonicity,[status(thm)],[22408])).
% 16.38/11.53 tff(22410,plain,
% 16.38/11.53 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB181) | (~nextState(constB180, constB181)) | (~(((~v84(constB181, 2)) <=> v84(constB180, 2)) | ((~v84(constB181, 1)) <=> v84(constB180, 1)) | ((~v84(constB181, 0)) <=> v84(constB180, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB181) | (~nextState(constB180, constB181)) | (~(((~v84(constB181, 1)) <=> v84(constB180, 1)) | ((~v84(constB181, 2)) <=> v84(constB180, 2)) | ((~v84(constB181, 0)) <=> v84(constB180, 0)))))),
% 16.38/11.53 inference(transitivity,[status(thm)],[22409, 22407])).
% 16.38/11.53 tff(22411,plain,
% 16.38/11.53 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB181) | (~nextState(constB180, constB181)) | (~(((~v84(constB181, 2)) <=> v84(constB180, 2)) | ((~v84(constB181, 1)) <=> v84(constB180, 1)) | ((~v84(constB181, 0)) <=> v84(constB180, 0)))))),
% 16.38/11.53 inference(quant_inst,[status(thm)],[])).
% 16.38/11.53 tff(22412,plain,
% 16.38/11.53 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB181) | (~nextState(constB180, constB181)) | (~(((~v84(constB181, 1)) <=> v84(constB180, 1)) | ((~v84(constB181, 2)) <=> v84(constB180, 2)) | ((~v84(constB181, 0)) <=> v84(constB180, 0))))),
% 16.38/11.53 inference(modus_ponens,[status(thm)],[22411, 22410])).
% 16.38/11.53 tff(22413,plain,
% 16.38/11.53 (v94(constB181) | (~(((~v84(constB181, 1)) <=> v84(constB180, 1)) | ((~v84(constB181, 2)) <=> v84(constB180, 2)) | ((~v84(constB181, 0)) <=> v84(constB180, 0))))),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22412, 22383, 819])).
% 16.38/11.53 tff(22414,plain,
% 16.38/11.53 (~(((~v84(constB181, 1)) <=> v84(constB180, 1)) | ((~v84(constB181, 2)) <=> v84(constB180, 2)) | ((~v84(constB181, 0)) <=> v84(constB180, 0)))),
% 16.38/11.53 inference(unit_resolution,[status(thm)],[22413, 22406])).
% 16.38/11.53 tff(22415,plain,
% 16.38/11.53 ((((~v84(constB181, 1)) <=> v84(constB180, 1)) | ((~v84(constB181, 2)) <=> v84(constB180, 2)) | ((~v84(constB181, 0)) <=> v84(constB180, 0))) | (~((~v84(constB181, 2)) <=> v84(constB180, 2)))),
% 16.38/11.54 inference(tautology,[status(thm)],[])).
% 16.38/11.54 tff(22416,plain,
% 16.38/11.54 (~((~v84(constB181, 2)) <=> v84(constB180, 2))),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22415, 22414])).
% 16.38/11.54 tff(22417,plain,
% 16.38/11.54 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 16.38/11.54 inference(rewrite,[status(thm)],[])).
% 16.38/11.54 tff(22418,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_179')).
% 16.38/11.54 tff(22419,plain,
% 16.38/11.54 (nextState(constB179, constB180)),
% 16.38/11.54 inference(modus_ponens,[status(thm)],[22418, 22417])).
% 16.38/11.54 tff(22420,plain,
% 16.38/11.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB179, constB180)) | (~(((~v123(constB180, 2)) <=> v121(constB179, 2)) | ((~v123(constB180, 1)) <=> v121(constB179, 1)) | ((~v123(constB180, 0)) <=> v121(constB179, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB179, constB180)) | (~(((~v123(constB180, 2)) <=> v121(constB179, 2)) | ((~v123(constB180, 1)) <=> v121(constB179, 1)) | ((~v123(constB180, 0)) <=> v121(constB179, 0)))))),
% 16.38/11.54 inference(rewrite,[status(thm)],[])).
% 16.38/11.54 tff(22421,plain,
% 16.38/11.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB179, constB180)) | (~(((~v123(constB180, 2)) <=> v121(constB179, 2)) | ((~v123(constB180, 1)) <=> v121(constB179, 1)) | ((~v123(constB180, 0)) <=> v121(constB179, 0)))))),
% 16.38/11.54 inference(quant_inst,[status(thm)],[])).
% 16.38/11.54 tff(22422,plain,
% 16.38/11.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB179, constB180)) | (~(((~v123(constB180, 2)) <=> v121(constB179, 2)) | ((~v123(constB180, 1)) <=> v121(constB179, 1)) | ((~v123(constB180, 0)) <=> v121(constB179, 0))))),
% 16.38/11.54 inference(modus_ponens,[status(thm)],[22421, 22420])).
% 16.38/11.54 tff(22423,plain,
% 16.38/11.54 (~(((~v123(constB180, 2)) <=> v121(constB179, 2)) | ((~v123(constB180, 1)) <=> v121(constB179, 1)) | ((~v123(constB180, 0)) <=> v121(constB179, 0)))),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22422, 22419, 842])).
% 16.38/11.54 tff(22424,plain,
% 16.38/11.54 ((((~v123(constB180, 2)) <=> v121(constB179, 2)) | ((~v123(constB180, 1)) <=> v121(constB179, 1)) | ((~v123(constB180, 0)) <=> v121(constB179, 0))) | (~((~v123(constB180, 2)) <=> v121(constB179, 2)))),
% 16.38/11.54 inference(tautology,[status(thm)],[])).
% 16.38/11.54 tff(22425,plain,
% 16.38/11.54 (~((~v123(constB180, 2)) <=> v121(constB179, 2))),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22424, 22423])).
% 16.38/11.54 tff(22426,plain,
% 16.38/11.54 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB179) <=> v26(constB179))),
% 16.38/11.54 inference(quant_inst,[status(thm)],[])).
% 16.38/11.54 tff(22427,plain,
% 16.38/11.54 (v105(constB179) <=> v26(constB179)),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22426, 861])).
% 16.38/11.54 tff(22428,plain,
% 16.38/11.54 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB179))),
% 16.38/11.54 inference(quant_inst,[status(thm)],[])).
% 16.38/11.54 tff(22429,plain,
% 16.38/11.54 (~v26(constB179)),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22428, 873])).
% 16.38/11.54 tff(22430,plain,
% 16.38/11.54 ((~(v105(constB179) <=> v26(constB179))) | (~v105(constB179)) | v26(constB179)),
% 16.38/11.54 inference(tautology,[status(thm)],[])).
% 16.38/11.54 tff(22431,plain,
% 16.38/11.54 ((~(v105(constB179) <=> v26(constB179))) | (~v105(constB179))),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22430, 22429])).
% 16.38/11.54 tff(22432,plain,
% 16.38/11.54 (~v105(constB179)),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22431, 22427])).
% 16.38/11.54 tff(22433,plain,
% 16.38/11.54 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB179) | (~(((~v121(constB179, 2)) <=> v124(constB179, 2)) | ((~v121(constB179, 0)) <=> v124(constB179, 0)) | ((~v121(constB179, 1)) <=> v124(constB179, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB179) | (~(((~v121(constB179, 2)) <=> v124(constB179, 2)) | ((~v121(constB179, 0)) <=> v124(constB179, 0)) | ((~v121(constB179, 1)) <=> v124(constB179, 1)))))),
% 16.38/11.54 inference(rewrite,[status(thm)],[])).
% 16.38/11.54 tff(22434,plain,
% 16.38/11.54 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB179) | (~(((~v121(constB179, 2)) <=> v124(constB179, 2)) | ((~v121(constB179, 0)) <=> v124(constB179, 0)) | ((~v121(constB179, 1)) <=> v124(constB179, 1)))))),
% 16.38/11.54 inference(quant_inst,[status(thm)],[])).
% 16.38/11.54 tff(22435,plain,
% 16.38/11.54 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB179) | (~(((~v121(constB179, 2)) <=> v124(constB179, 2)) | ((~v121(constB179, 0)) <=> v124(constB179, 0)) | ((~v121(constB179, 1)) <=> v124(constB179, 1))))),
% 16.38/11.54 inference(modus_ponens,[status(thm)],[22434, 22433])).
% 16.38/11.54 tff(22436,plain,
% 16.38/11.54 (v105(constB179) | (~(((~v121(constB179, 2)) <=> v124(constB179, 2)) | ((~v121(constB179, 0)) <=> v124(constB179, 0)) | ((~v121(constB179, 1)) <=> v124(constB179, 1))))),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22435, 891])).
% 16.38/11.54 tff(22437,plain,
% 16.38/11.54 (~(((~v121(constB179, 2)) <=> v124(constB179, 2)) | ((~v121(constB179, 0)) <=> v124(constB179, 0)) | ((~v121(constB179, 1)) <=> v124(constB179, 1)))),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22436, 22432])).
% 16.38/11.54 tff(22438,plain,
% 16.38/11.54 ((((~v121(constB179, 2)) <=> v124(constB179, 2)) | ((~v121(constB179, 0)) <=> v124(constB179, 0)) | ((~v121(constB179, 1)) <=> v124(constB179, 1))) | (~((~v121(constB179, 2)) <=> v124(constB179, 2)))),
% 16.38/11.54 inference(tautology,[status(thm)],[])).
% 16.38/11.54 tff(22439,plain,
% 16.38/11.54 (~((~v121(constB179, 2)) <=> v124(constB179, 2))),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22438, 22437])).
% 16.38/11.54 tff(22440,plain,
% 16.38/11.54 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB179) <=> (~(v84(constB179, 2) | v84(constB179, 0) | (~v84(constB179, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB179) <=> (~(v84(constB179, 2) | v84(constB179, 0) | (~v84(constB179, 1))))))),
% 16.38/11.54 inference(rewrite,[status(thm)],[])).
% 16.38/11.54 tff(22441,plain,
% 16.38/11.54 ((v115(constB179) <=> (~(v84(constB179, 0) | v84(constB179, 2) | (~v84(constB179, 1))))) <=> (v115(constB179) <=> (~(v84(constB179, 2) | v84(constB179, 0) | (~v84(constB179, 1)))))),
% 16.38/11.54 inference(rewrite,[status(thm)],[])).
% 16.38/11.54 tff(22442,plain,
% 16.38/11.54 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB179) <=> (~(v84(constB179, 0) | v84(constB179, 2) | (~v84(constB179, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB179) <=> (~(v84(constB179, 2) | v84(constB179, 0) | (~v84(constB179, 1))))))),
% 16.38/11.54 inference(monotonicity,[status(thm)],[22441])).
% 16.38/11.54 tff(22443,plain,
% 16.38/11.54 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB179) <=> (~(v84(constB179, 0) | v84(constB179, 2) | (~v84(constB179, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB179) <=> (~(v84(constB179, 2) | v84(constB179, 0) | (~v84(constB179, 1))))))),
% 16.38/11.54 inference(transitivity,[status(thm)],[22442, 22440])).
% 16.38/11.54 tff(22444,plain,
% 16.38/11.54 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB179) <=> (~(v84(constB179, 0) | v84(constB179, 2) | (~v84(constB179, 1)))))),
% 16.38/11.54 inference(quant_inst,[status(thm)],[])).
% 16.38/11.54 tff(22445,plain,
% 16.38/11.54 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB179) <=> (~(v84(constB179, 2) | v84(constB179, 0) | (~v84(constB179, 1)))))),
% 16.38/11.54 inference(modus_ponens,[status(thm)],[22444, 22443])).
% 16.38/11.54 tff(22446,plain,
% 16.38/11.54 (v115(constB179) <=> (~(v84(constB179, 2) | v84(constB179, 0) | (~v84(constB179, 1))))),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22445, 985])).
% 16.38/11.54 tff(22447,plain,
% 16.38/11.54 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 16.38/11.54 inference(rewrite,[status(thm)],[])).
% 16.38/11.54 tff(22448,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_178')).
% 16.38/11.54 tff(22449,plain,
% 16.38/11.54 (nextState(constB178, constB179)),
% 16.38/11.54 inference(modus_ponens,[status(thm)],[22448, 22447])).
% 16.38/11.54 tff(22450,plain,
% 16.38/11.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB178, constB179)) | (v94(constB179) <=> (~((~v95(constB179)) | (~v104(constB179))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB178, constB179)) | (v94(constB179) <=> (~((~v95(constB179)) | (~v104(constB179))))))),
% 16.38/11.54 inference(rewrite,[status(thm)],[])).
% 16.38/11.54 tff(22451,plain,
% 16.38/11.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB178, constB179)) | (v94(constB179) <=> (~((~v95(constB179)) | (~v104(constB179))))))),
% 16.38/11.54 inference(quant_inst,[status(thm)],[])).
% 16.38/11.54 tff(22452,plain,
% 16.38/11.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB178, constB179)) | (v94(constB179) <=> (~((~v95(constB179)) | (~v104(constB179)))))),
% 16.38/11.54 inference(modus_ponens,[status(thm)],[22451, 22450])).
% 16.38/11.54 tff(22453,plain,
% 16.38/11.54 (v94(constB179) <=> (~((~v95(constB179)) | (~v104(constB179))))),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22452, 22449, 770])).
% 16.38/11.54 tff(22454,plain,
% 16.38/11.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179))))))),
% 16.38/11.54 inference(rewrite,[status(thm)],[])).
% 16.38/11.54 tff(22455,plain,
% 16.38/11.54 (((~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v96(constB179)) | (~v1(constB179)))))) <=> ((~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179))))))),
% 16.38/11.54 inference(rewrite,[status(thm)],[])).
% 16.38/11.54 tff(22456,plain,
% 16.38/11.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v96(constB179)) | (~v1(constB179))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179)))))))),
% 16.38/11.54 inference(monotonicity,[status(thm)],[22455])).
% 16.38/11.54 tff(22457,plain,
% 16.38/11.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v96(constB179)) | (~v1(constB179))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179))))))),
% 16.38/11.54 inference(transitivity,[status(thm)],[22456, 22454])).
% 16.38/11.54 tff(22458,plain,
% 16.38/11.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v96(constB179)) | (~v1(constB179))))))),
% 16.38/11.54 inference(quant_inst,[status(thm)],[])).
% 16.38/11.54 tff(22459,plain,
% 16.38/11.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179)))))),
% 16.38/11.54 inference(modus_ponens,[status(thm)],[22458, 22457])).
% 16.38/11.54 tff(22460,plain,
% 16.38/11.54 (v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179))))),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22459, 22449, 790])).
% 16.38/11.54 tff(22461,plain,
% 16.38/11.54 ((~v1(constB179)) <=> (~v1(constB179))),
% 16.38/11.54 inference(rewrite,[status(thm)],[])).
% 16.38/11.54 tff(22462,axiom,(~v1(constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_179')).
% 16.38/11.54 tff(22463,plain,
% 16.38/11.54 (~v1(constB179)),
% 16.38/11.54 inference(modus_ponens,[status(thm)],[22462, 22461])).
% 16.38/11.54 tff(22464,plain,
% 16.38/11.54 (((~v1(constB179)) | (~v96(constB179))) | v1(constB179)),
% 16.38/11.54 inference(tautology,[status(thm)],[])).
% 16.38/11.54 tff(22465,plain,
% 16.38/11.54 ((~v1(constB179)) | (~v96(constB179))),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22464, 22463])).
% 16.38/11.54 tff(22466,plain,
% 16.38/11.54 ((~(v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179)))))) | (~v95(constB179)) | (~((~v1(constB179)) | (~v96(constB179))))),
% 16.38/11.54 inference(tautology,[status(thm)],[])).
% 16.38/11.54 tff(22467,plain,
% 16.38/11.54 ((~(v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179)))))) | (~v95(constB179))),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22466, 22465])).
% 16.38/11.54 tff(22468,plain,
% 16.38/11.54 (~v95(constB179)),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22467, 22460])).
% 16.38/11.54 tff(22469,plain,
% 16.38/11.54 (((~v95(constB179)) | (~v104(constB179))) | v95(constB179)),
% 16.38/11.54 inference(tautology,[status(thm)],[])).
% 16.38/11.54 tff(22470,plain,
% 16.38/11.54 ((~v95(constB179)) | (~v104(constB179))),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22469, 22468])).
% 16.38/11.54 tff(22471,plain,
% 16.38/11.54 ((~(v94(constB179) <=> (~((~v95(constB179)) | (~v104(constB179)))))) | (~v94(constB179)) | (~((~v95(constB179)) | (~v104(constB179))))),
% 16.38/11.54 inference(tautology,[status(thm)],[])).
% 16.38/11.54 tff(22472,plain,
% 16.38/11.54 (~v94(constB179)),
% 16.38/11.54 inference(unit_resolution,[status(thm)],[22471, 22470, 22453])).
% 16.38/11.54 tff(22473,plain,
% 16.38/11.54 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB179) | (~nextState(constB178, constB179)) | (~(((~v84(constB179, 1)) <=> v84(constB178, 1)) | ((~v84(constB179, 2)) <=> v84(constB178, 2)) | ((~v84(constB179, 0)) <=> v84(constB178, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB179) | (~nextState(constB178, constB179)) | (~(((~v84(constB179, 1)) <=> v84(constB178, 1)) | ((~v84(constB179, 2)) <=> v84(constB178, 2)) | ((~v84(constB179, 0)) <=> v84(constB178, 0)))))),
% 16.38/11.54 inference(rewrite,[status(thm)],[])).
% 16.38/11.54 tff(22474,plain,
% 16.38/11.54 ((v94(constB179) | (~nextState(constB178, constB179)) | (~(((~v84(constB179, 2)) <=> v84(constB178, 2)) | ((~v84(constB179, 1)) <=> v84(constB178, 1)) | ((~v84(constB179, 0)) <=> v84(constB178, 0))))) <=> (v94(constB179) | (~nextState(constB178, constB179)) | (~(((~v84(constB179, 1)) <=> v84(constB178, 1)) | ((~v84(constB179, 2)) <=> v84(constB178, 2)) | ((~v84(constB179, 0)) <=> v84(constB178, 0)))))),
% 16.38/11.55 inference(rewrite,[status(thm)],[])).
% 16.38/11.55 tff(22475,plain,
% 16.38/11.55 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB179) | (~nextState(constB178, constB179)) | (~(((~v84(constB179, 2)) <=> v84(constB178, 2)) | ((~v84(constB179, 1)) <=> v84(constB178, 1)) | ((~v84(constB179, 0)) <=> v84(constB178, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB179) | (~nextState(constB178, constB179)) | (~(((~v84(constB179, 1)) <=> v84(constB178, 1)) | ((~v84(constB179, 2)) <=> v84(constB178, 2)) | ((~v84(constB179, 0)) <=> v84(constB178, 0))))))),
% 16.38/11.55 inference(monotonicity,[status(thm)],[22474])).
% 16.38/11.55 tff(22476,plain,
% 16.38/11.55 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB179) | (~nextState(constB178, constB179)) | (~(((~v84(constB179, 2)) <=> v84(constB178, 2)) | ((~v84(constB179, 1)) <=> v84(constB178, 1)) | ((~v84(constB179, 0)) <=> v84(constB178, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB179) | (~nextState(constB178, constB179)) | (~(((~v84(constB179, 1)) <=> v84(constB178, 1)) | ((~v84(constB179, 2)) <=> v84(constB178, 2)) | ((~v84(constB179, 0)) <=> v84(constB178, 0)))))),
% 16.38/11.55 inference(transitivity,[status(thm)],[22475, 22473])).
% 16.38/11.55 tff(22477,plain,
% 16.38/11.55 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB179) | (~nextState(constB178, constB179)) | (~(((~v84(constB179, 2)) <=> v84(constB178, 2)) | ((~v84(constB179, 1)) <=> v84(constB178, 1)) | ((~v84(constB179, 0)) <=> v84(constB178, 0)))))),
% 16.38/11.55 inference(quant_inst,[status(thm)],[])).
% 16.38/11.55 tff(22478,plain,
% 16.38/11.55 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB179) | (~nextState(constB178, constB179)) | (~(((~v84(constB179, 1)) <=> v84(constB178, 1)) | ((~v84(constB179, 2)) <=> v84(constB178, 2)) | ((~v84(constB179, 0)) <=> v84(constB178, 0))))),
% 16.38/11.55 inference(modus_ponens,[status(thm)],[22477, 22476])).
% 16.38/11.55 tff(22479,plain,
% 16.38/11.55 (v94(constB179) | (~(((~v84(constB179, 1)) <=> v84(constB178, 1)) | ((~v84(constB179, 2)) <=> v84(constB178, 2)) | ((~v84(constB179, 0)) <=> v84(constB178, 0))))),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22478, 22449, 819])).
% 16.38/11.55 tff(22480,plain,
% 16.38/11.55 (~(((~v84(constB179, 1)) <=> v84(constB178, 1)) | ((~v84(constB179, 2)) <=> v84(constB178, 2)) | ((~v84(constB179, 0)) <=> v84(constB178, 0)))),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22479, 22472])).
% 16.38/11.55 tff(22481,plain,
% 16.38/11.55 ((((~v84(constB179, 1)) <=> v84(constB178, 1)) | ((~v84(constB179, 2)) <=> v84(constB178, 2)) | ((~v84(constB179, 0)) <=> v84(constB178, 0))) | (~((~v84(constB179, 2)) <=> v84(constB178, 2)))),
% 16.38/11.55 inference(tautology,[status(thm)],[])).
% 16.38/11.55 tff(22482,plain,
% 16.38/11.55 (~((~v84(constB179, 2)) <=> v84(constB178, 2))),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22481, 22480])).
% 16.38/11.55 tff(22483,plain,
% 16.38/11.55 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 16.38/11.55 inference(rewrite,[status(thm)],[])).
% 16.38/11.55 tff(22484,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_177')).
% 16.38/11.55 tff(22485,plain,
% 16.38/11.55 (nextState(constB177, constB178)),
% 16.38/11.55 inference(modus_ponens,[status(thm)],[22484, 22483])).
% 16.38/11.55 tff(22486,plain,
% 16.38/11.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB177, constB178)) | (~(((~v123(constB178, 2)) <=> v121(constB177, 2)) | ((~v123(constB178, 1)) <=> v121(constB177, 1)) | ((~v123(constB178, 0)) <=> v121(constB177, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB177, constB178)) | (~(((~v123(constB178, 2)) <=> v121(constB177, 2)) | ((~v123(constB178, 1)) <=> v121(constB177, 1)) | ((~v123(constB178, 0)) <=> v121(constB177, 0)))))),
% 16.38/11.55 inference(rewrite,[status(thm)],[])).
% 16.38/11.55 tff(22487,plain,
% 16.38/11.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB177, constB178)) | (~(((~v123(constB178, 2)) <=> v121(constB177, 2)) | ((~v123(constB178, 1)) <=> v121(constB177, 1)) | ((~v123(constB178, 0)) <=> v121(constB177, 0)))))),
% 16.38/11.55 inference(quant_inst,[status(thm)],[])).
% 16.38/11.55 tff(22488,plain,
% 16.38/11.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB177, constB178)) | (~(((~v123(constB178, 2)) <=> v121(constB177, 2)) | ((~v123(constB178, 1)) <=> v121(constB177, 1)) | ((~v123(constB178, 0)) <=> v121(constB177, 0))))),
% 16.38/11.55 inference(modus_ponens,[status(thm)],[22487, 22486])).
% 16.38/11.55 tff(22489,plain,
% 16.38/11.55 (~(((~v123(constB178, 2)) <=> v121(constB177, 2)) | ((~v123(constB178, 1)) <=> v121(constB177, 1)) | ((~v123(constB178, 0)) <=> v121(constB177, 0)))),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22488, 22485, 842])).
% 16.38/11.55 tff(22490,plain,
% 16.38/11.55 ((((~v123(constB178, 2)) <=> v121(constB177, 2)) | ((~v123(constB178, 1)) <=> v121(constB177, 1)) | ((~v123(constB178, 0)) <=> v121(constB177, 0))) | (~((~v123(constB178, 2)) <=> v121(constB177, 2)))),
% 16.38/11.55 inference(tautology,[status(thm)],[])).
% 16.38/11.55 tff(22491,plain,
% 16.38/11.55 (~((~v123(constB178, 2)) <=> v121(constB177, 2))),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22490, 22489])).
% 16.38/11.55 tff(22492,plain,
% 16.38/11.55 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB177) <=> v26(constB177))),
% 16.38/11.55 inference(quant_inst,[status(thm)],[])).
% 16.38/11.55 tff(22493,plain,
% 16.38/11.55 (v105(constB177) <=> v26(constB177)),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22492, 861])).
% 16.38/11.55 tff(22494,plain,
% 16.38/11.55 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB177))),
% 16.38/11.55 inference(quant_inst,[status(thm)],[])).
% 16.38/11.55 tff(22495,plain,
% 16.38/11.55 (~v26(constB177)),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22494, 873])).
% 16.38/11.55 tff(22496,plain,
% 16.38/11.55 ((~(v105(constB177) <=> v26(constB177))) | (~v105(constB177)) | v26(constB177)),
% 16.38/11.55 inference(tautology,[status(thm)],[])).
% 16.38/11.55 tff(22497,plain,
% 16.38/11.55 ((~(v105(constB177) <=> v26(constB177))) | (~v105(constB177))),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22496, 22495])).
% 16.38/11.55 tff(22498,plain,
% 16.38/11.55 (~v105(constB177)),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22497, 22493])).
% 16.38/11.55 tff(22499,plain,
% 16.38/11.55 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB177) | (~(((~v121(constB177, 2)) <=> v124(constB177, 2)) | ((~v121(constB177, 0)) <=> v124(constB177, 0)) | ((~v121(constB177, 1)) <=> v124(constB177, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB177) | (~(((~v121(constB177, 2)) <=> v124(constB177, 2)) | ((~v121(constB177, 0)) <=> v124(constB177, 0)) | ((~v121(constB177, 1)) <=> v124(constB177, 1)))))),
% 16.38/11.55 inference(rewrite,[status(thm)],[])).
% 16.38/11.55 tff(22500,plain,
% 16.38/11.55 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB177) | (~(((~v121(constB177, 2)) <=> v124(constB177, 2)) | ((~v121(constB177, 0)) <=> v124(constB177, 0)) | ((~v121(constB177, 1)) <=> v124(constB177, 1)))))),
% 16.38/11.55 inference(quant_inst,[status(thm)],[])).
% 16.38/11.55 tff(22501,plain,
% 16.38/11.55 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB177) | (~(((~v121(constB177, 2)) <=> v124(constB177, 2)) | ((~v121(constB177, 0)) <=> v124(constB177, 0)) | ((~v121(constB177, 1)) <=> v124(constB177, 1))))),
% 16.38/11.55 inference(modus_ponens,[status(thm)],[22500, 22499])).
% 16.38/11.55 tff(22502,plain,
% 16.38/11.55 (v105(constB177) | (~(((~v121(constB177, 2)) <=> v124(constB177, 2)) | ((~v121(constB177, 0)) <=> v124(constB177, 0)) | ((~v121(constB177, 1)) <=> v124(constB177, 1))))),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22501, 891])).
% 16.38/11.55 tff(22503,plain,
% 16.38/11.55 (~(((~v121(constB177, 2)) <=> v124(constB177, 2)) | ((~v121(constB177, 0)) <=> v124(constB177, 0)) | ((~v121(constB177, 1)) <=> v124(constB177, 1)))),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22502, 22498])).
% 16.38/11.55 tff(22504,plain,
% 16.38/11.55 ((((~v121(constB177, 2)) <=> v124(constB177, 2)) | ((~v121(constB177, 0)) <=> v124(constB177, 0)) | ((~v121(constB177, 1)) <=> v124(constB177, 1))) | (~((~v121(constB177, 2)) <=> v124(constB177, 2)))),
% 16.38/11.55 inference(tautology,[status(thm)],[])).
% 16.38/11.55 tff(22505,plain,
% 16.38/11.55 (~((~v121(constB177, 2)) <=> v124(constB177, 2))),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22504, 22503])).
% 16.38/11.55 tff(22506,plain,
% 16.38/11.55 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB177) <=> (~(v84(constB177, 1) | v84(constB177, 2) | (~v84(constB177, 0)))))),
% 16.38/11.55 inference(quant_inst,[status(thm)],[])).
% 16.38/11.55 tff(22507,plain,
% 16.38/11.55 (v114(constB177) <=> (~(v84(constB177, 1) | v84(constB177, 2) | (~v84(constB177, 0))))),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22506, 1064])).
% 16.38/11.55 tff(22508,plain,
% 16.38/11.55 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 16.38/11.55 inference(rewrite,[status(thm)],[])).
% 16.38/11.55 tff(22509,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_176')).
% 16.38/11.55 tff(22510,plain,
% 16.38/11.55 (nextState(constB176, constB177)),
% 16.38/11.55 inference(modus_ponens,[status(thm)],[22509, 22508])).
% 16.38/11.55 tff(22511,plain,
% 16.38/11.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB176, constB177)) | (v94(constB177) <=> (~((~v95(constB177)) | (~v104(constB177))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB176, constB177)) | (v94(constB177) <=> (~((~v95(constB177)) | (~v104(constB177))))))),
% 16.38/11.55 inference(rewrite,[status(thm)],[])).
% 16.38/11.55 tff(22512,plain,
% 16.38/11.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB176, constB177)) | (v94(constB177) <=> (~((~v95(constB177)) | (~v104(constB177))))))),
% 16.38/11.55 inference(quant_inst,[status(thm)],[])).
% 16.38/11.55 tff(22513,plain,
% 16.38/11.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB176, constB177)) | (v94(constB177) <=> (~((~v95(constB177)) | (~v104(constB177)))))),
% 16.38/11.55 inference(modus_ponens,[status(thm)],[22512, 22511])).
% 16.38/11.55 tff(22514,plain,
% 16.38/11.55 (v94(constB177) <=> (~((~v95(constB177)) | (~v104(constB177))))),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22513, 22510, 770])).
% 16.38/11.55 tff(22515,plain,
% 16.38/11.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177))))))),
% 16.38/11.55 inference(rewrite,[status(thm)],[])).
% 16.38/11.55 tff(22516,plain,
% 16.38/11.55 (((~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v96(constB177)) | (~v1(constB177)))))) <=> ((~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177))))))),
% 16.38/11.55 inference(rewrite,[status(thm)],[])).
% 16.38/11.55 tff(22517,plain,
% 16.38/11.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v96(constB177)) | (~v1(constB177))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177)))))))),
% 16.38/11.55 inference(monotonicity,[status(thm)],[22516])).
% 16.38/11.55 tff(22518,plain,
% 16.38/11.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v96(constB177)) | (~v1(constB177))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177))))))),
% 16.38/11.55 inference(transitivity,[status(thm)],[22517, 22515])).
% 16.38/11.55 tff(22519,plain,
% 16.38/11.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v96(constB177)) | (~v1(constB177))))))),
% 16.38/11.55 inference(quant_inst,[status(thm)],[])).
% 16.38/11.55 tff(22520,plain,
% 16.38/11.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177)))))),
% 16.38/11.55 inference(modus_ponens,[status(thm)],[22519, 22518])).
% 16.38/11.55 tff(22521,plain,
% 16.38/11.55 (v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177))))),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22520, 22510, 790])).
% 16.38/11.55 tff(22522,plain,
% 16.38/11.55 ((~v1(constB177)) <=> (~v1(constB177))),
% 16.38/11.55 inference(rewrite,[status(thm)],[])).
% 16.38/11.55 tff(22523,axiom,(~v1(constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_177')).
% 16.38/11.55 tff(22524,plain,
% 16.38/11.55 (~v1(constB177)),
% 16.38/11.55 inference(modus_ponens,[status(thm)],[22523, 22522])).
% 16.38/11.55 tff(22525,plain,
% 16.38/11.55 (((~v1(constB177)) | (~v96(constB177))) | v1(constB177)),
% 16.38/11.55 inference(tautology,[status(thm)],[])).
% 16.38/11.55 tff(22526,plain,
% 16.38/11.55 ((~v1(constB177)) | (~v96(constB177))),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22525, 22524])).
% 16.38/11.55 tff(22527,plain,
% 16.38/11.55 ((~(v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177)))))) | (~v95(constB177)) | (~((~v1(constB177)) | (~v96(constB177))))),
% 16.38/11.55 inference(tautology,[status(thm)],[])).
% 16.38/11.55 tff(22528,plain,
% 16.38/11.55 ((~(v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177)))))) | (~v95(constB177))),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22527, 22526])).
% 16.38/11.55 tff(22529,plain,
% 16.38/11.55 (~v95(constB177)),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22528, 22521])).
% 16.38/11.55 tff(22530,plain,
% 16.38/11.55 (((~v95(constB177)) | (~v104(constB177))) | v95(constB177)),
% 16.38/11.55 inference(tautology,[status(thm)],[])).
% 16.38/11.55 tff(22531,plain,
% 16.38/11.55 ((~v95(constB177)) | (~v104(constB177))),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22530, 22529])).
% 16.38/11.55 tff(22532,plain,
% 16.38/11.55 ((~(v94(constB177) <=> (~((~v95(constB177)) | (~v104(constB177)))))) | (~v94(constB177)) | (~((~v95(constB177)) | (~v104(constB177))))),
% 16.38/11.55 inference(tautology,[status(thm)],[])).
% 16.38/11.55 tff(22533,plain,
% 16.38/11.55 (~v94(constB177)),
% 16.38/11.55 inference(unit_resolution,[status(thm)],[22532, 22531, 22514])).
% 16.38/11.55 tff(22534,plain,
% 16.38/11.55 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB177) | (~nextState(constB176, constB177)) | (~(((~v84(constB177, 1)) <=> v84(constB176, 1)) | ((~v84(constB177, 2)) <=> v84(constB176, 2)) | ((~v84(constB177, 0)) <=> v84(constB176, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB177) | (~nextState(constB176, constB177)) | (~(((~v84(constB177, 1)) <=> v84(constB176, 1)) | ((~v84(constB177, 2)) <=> v84(constB176, 2)) | ((~v84(constB177, 0)) <=> v84(constB176, 0)))))),
% 16.38/11.55 inference(rewrite,[status(thm)],[])).
% 16.38/11.55 tff(22535,plain,
% 16.38/11.55 ((v94(constB177) | (~nextState(constB176, constB177)) | (~(((~v84(constB177, 2)) <=> v84(constB176, 2)) | ((~v84(constB177, 1)) <=> v84(constB176, 1)) | ((~v84(constB177, 0)) <=> v84(constB176, 0))))) <=> (v94(constB177) | (~nextState(constB176, constB177)) | (~(((~v84(constB177, 1)) <=> v84(constB176, 1)) | ((~v84(constB177, 2)) <=> v84(constB176, 2)) | ((~v84(constB177, 0)) <=> v84(constB176, 0)))))),
% 16.38/11.55 inference(rewrite,[status(thm)],[])).
% 16.38/11.55 tff(22536,plain,
% 16.38/11.55 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB177) | (~nextState(constB176, constB177)) | (~(((~v84(constB177, 2)) <=> v84(constB176, 2)) | ((~v84(constB177, 1)) <=> v84(constB176, 1)) | ((~v84(constB177, 0)) <=> v84(constB176, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB177) | (~nextState(constB176, constB177)) | (~(((~v84(constB177, 1)) <=> v84(constB176, 1)) | ((~v84(constB177, 2)) <=> v84(constB176, 2)) | ((~v84(constB177, 0)) <=> v84(constB176, 0))))))),
% 16.38/11.55 inference(monotonicity,[status(thm)],[22535])).
% 16.38/11.55 tff(22537,plain,
% 16.38/11.55 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB177) | (~nextState(constB176, constB177)) | (~(((~v84(constB177, 2)) <=> v84(constB176, 2)) | ((~v84(constB177, 1)) <=> v84(constB176, 1)) | ((~v84(constB177, 0)) <=> v84(constB176, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB177) | (~nextState(constB176, constB177)) | (~(((~v84(constB177, 1)) <=> v84(constB176, 1)) | ((~v84(constB177, 2)) <=> v84(constB176, 2)) | ((~v84(constB177, 0)) <=> v84(constB176, 0)))))),
% 16.38/11.55 inference(transitivity,[status(thm)],[22536, 22534])).
% 16.38/11.55 tff(22538,plain,
% 16.38/11.55 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB177) | (~nextState(constB176, constB177)) | (~(((~v84(constB177, 2)) <=> v84(constB176, 2)) | ((~v84(constB177, 1)) <=> v84(constB176, 1)) | ((~v84(constB177, 0)) <=> v84(constB176, 0)))))),
% 16.38/11.56 inference(quant_inst,[status(thm)],[])).
% 16.38/11.56 tff(22539,plain,
% 16.38/11.56 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB177) | (~nextState(constB176, constB177)) | (~(((~v84(constB177, 1)) <=> v84(constB176, 1)) | ((~v84(constB177, 2)) <=> v84(constB176, 2)) | ((~v84(constB177, 0)) <=> v84(constB176, 0))))),
% 16.38/11.56 inference(modus_ponens,[status(thm)],[22538, 22537])).
% 16.38/11.56 tff(22540,plain,
% 16.38/11.56 (v94(constB177) | (~(((~v84(constB177, 1)) <=> v84(constB176, 1)) | ((~v84(constB177, 2)) <=> v84(constB176, 2)) | ((~v84(constB177, 0)) <=> v84(constB176, 0))))),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22539, 22510, 819])).
% 16.38/11.56 tff(22541,plain,
% 16.38/11.56 (~(((~v84(constB177, 1)) <=> v84(constB176, 1)) | ((~v84(constB177, 2)) <=> v84(constB176, 2)) | ((~v84(constB177, 0)) <=> v84(constB176, 0)))),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22540, 22533])).
% 16.38/11.56 tff(22542,plain,
% 16.38/11.56 ((((~v84(constB177, 1)) <=> v84(constB176, 1)) | ((~v84(constB177, 2)) <=> v84(constB176, 2)) | ((~v84(constB177, 0)) <=> v84(constB176, 0))) | (~((~v84(constB177, 2)) <=> v84(constB176, 2)))),
% 16.38/11.56 inference(tautology,[status(thm)],[])).
% 16.38/11.56 tff(22543,plain,
% 16.38/11.56 (~((~v84(constB177, 2)) <=> v84(constB176, 2))),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22542, 22541])).
% 16.38/11.56 tff(22544,plain,
% 16.38/11.56 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 16.38/11.56 inference(rewrite,[status(thm)],[])).
% 16.38/11.56 tff(22545,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_175')).
% 16.38/11.56 tff(22546,plain,
% 16.38/11.56 (nextState(constB175, constB176)),
% 16.38/11.56 inference(modus_ponens,[status(thm)],[22545, 22544])).
% 16.38/11.56 tff(22547,plain,
% 16.38/11.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB175, constB176)) | (~(((~v123(constB176, 2)) <=> v121(constB175, 2)) | ((~v123(constB176, 1)) <=> v121(constB175, 1)) | ((~v123(constB176, 0)) <=> v121(constB175, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB175, constB176)) | (~(((~v123(constB176, 2)) <=> v121(constB175, 2)) | ((~v123(constB176, 1)) <=> v121(constB175, 1)) | ((~v123(constB176, 0)) <=> v121(constB175, 0)))))),
% 16.38/11.56 inference(rewrite,[status(thm)],[])).
% 16.38/11.56 tff(22548,plain,
% 16.38/11.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB175, constB176)) | (~(((~v123(constB176, 2)) <=> v121(constB175, 2)) | ((~v123(constB176, 1)) <=> v121(constB175, 1)) | ((~v123(constB176, 0)) <=> v121(constB175, 0)))))),
% 16.38/11.56 inference(quant_inst,[status(thm)],[])).
% 16.38/11.56 tff(22549,plain,
% 16.38/11.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB175, constB176)) | (~(((~v123(constB176, 2)) <=> v121(constB175, 2)) | ((~v123(constB176, 1)) <=> v121(constB175, 1)) | ((~v123(constB176, 0)) <=> v121(constB175, 0))))),
% 16.38/11.56 inference(modus_ponens,[status(thm)],[22548, 22547])).
% 16.38/11.56 tff(22550,plain,
% 16.38/11.56 (~(((~v123(constB176, 2)) <=> v121(constB175, 2)) | ((~v123(constB176, 1)) <=> v121(constB175, 1)) | ((~v123(constB176, 0)) <=> v121(constB175, 0)))),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22549, 22546, 842])).
% 16.38/11.56 tff(22551,plain,
% 16.38/11.56 ((((~v123(constB176, 2)) <=> v121(constB175, 2)) | ((~v123(constB176, 1)) <=> v121(constB175, 1)) | ((~v123(constB176, 0)) <=> v121(constB175, 0))) | (~((~v123(constB176, 2)) <=> v121(constB175, 2)))),
% 16.38/11.56 inference(tautology,[status(thm)],[])).
% 16.38/11.56 tff(22552,plain,
% 16.38/11.56 (~((~v123(constB176, 2)) <=> v121(constB175, 2))),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22551, 22550])).
% 16.38/11.56 tff(22553,plain,
% 16.38/11.56 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB175) <=> v26(constB175))),
% 16.38/11.56 inference(quant_inst,[status(thm)],[])).
% 16.38/11.56 tff(22554,plain,
% 16.38/11.56 (v105(constB175) <=> v26(constB175)),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22553, 861])).
% 16.38/11.56 tff(22555,plain,
% 16.38/11.56 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB175))),
% 16.38/11.56 inference(quant_inst,[status(thm)],[])).
% 16.38/11.56 tff(22556,plain,
% 16.38/11.56 (~v26(constB175)),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22555, 873])).
% 16.38/11.56 tff(22557,plain,
% 16.38/11.56 ((~(v105(constB175) <=> v26(constB175))) | (~v105(constB175)) | v26(constB175)),
% 16.38/11.56 inference(tautology,[status(thm)],[])).
% 16.38/11.56 tff(22558,plain,
% 16.38/11.56 ((~(v105(constB175) <=> v26(constB175))) | (~v105(constB175))),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22557, 22556])).
% 16.38/11.56 tff(22559,plain,
% 16.38/11.56 (~v105(constB175)),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22558, 22554])).
% 16.38/11.56 tff(22560,plain,
% 16.38/11.56 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB175) | (~(((~v121(constB175, 2)) <=> v124(constB175, 2)) | ((~v121(constB175, 0)) <=> v124(constB175, 0)) | ((~v121(constB175, 1)) <=> v124(constB175, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB175) | (~(((~v121(constB175, 2)) <=> v124(constB175, 2)) | ((~v121(constB175, 0)) <=> v124(constB175, 0)) | ((~v121(constB175, 1)) <=> v124(constB175, 1)))))),
% 16.38/11.56 inference(rewrite,[status(thm)],[])).
% 16.38/11.56 tff(22561,plain,
% 16.38/11.56 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB175) | (~(((~v121(constB175, 2)) <=> v124(constB175, 2)) | ((~v121(constB175, 0)) <=> v124(constB175, 0)) | ((~v121(constB175, 1)) <=> v124(constB175, 1)))))),
% 16.38/11.56 inference(quant_inst,[status(thm)],[])).
% 16.38/11.56 tff(22562,plain,
% 16.38/11.56 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB175) | (~(((~v121(constB175, 2)) <=> v124(constB175, 2)) | ((~v121(constB175, 0)) <=> v124(constB175, 0)) | ((~v121(constB175, 1)) <=> v124(constB175, 1))))),
% 16.38/11.56 inference(modus_ponens,[status(thm)],[22561, 22560])).
% 16.38/11.56 tff(22563,plain,
% 16.38/11.56 (v105(constB175) | (~(((~v121(constB175, 2)) <=> v124(constB175, 2)) | ((~v121(constB175, 0)) <=> v124(constB175, 0)) | ((~v121(constB175, 1)) <=> v124(constB175, 1))))),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22562, 891])).
% 16.38/11.56 tff(22564,plain,
% 16.38/11.56 (~(((~v121(constB175, 2)) <=> v124(constB175, 2)) | ((~v121(constB175, 0)) <=> v124(constB175, 0)) | ((~v121(constB175, 1)) <=> v124(constB175, 1)))),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22563, 22559])).
% 16.38/11.56 tff(22565,plain,
% 16.38/11.56 ((((~v121(constB175, 2)) <=> v124(constB175, 2)) | ((~v121(constB175, 0)) <=> v124(constB175, 0)) | ((~v121(constB175, 1)) <=> v124(constB175, 1))) | (~((~v121(constB175, 2)) <=> v124(constB175, 2)))),
% 16.38/11.56 inference(tautology,[status(thm)],[])).
% 16.38/11.56 tff(22566,plain,
% 16.38/11.56 (~((~v121(constB175, 2)) <=> v124(constB175, 2))),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22565, 22564])).
% 16.38/11.56 tff(22567,plain,
% 16.38/11.56 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB175) <=> (~(v84(constB175, 1) | v84(constB175, 2) | (~v84(constB175, 0)))))),
% 16.38/11.56 inference(quant_inst,[status(thm)],[])).
% 16.38/11.56 tff(22568,plain,
% 16.38/11.56 (v114(constB175) <=> (~(v84(constB175, 1) | v84(constB175, 2) | (~v84(constB175, 0))))),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22567, 1064])).
% 16.38/11.56 tff(22569,plain,
% 16.38/11.56 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 16.38/11.56 inference(rewrite,[status(thm)],[])).
% 16.38/11.56 tff(22570,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_174')).
% 16.38/11.56 tff(22571,plain,
% 16.38/11.56 (nextState(constB174, constB175)),
% 16.38/11.56 inference(modus_ponens,[status(thm)],[22570, 22569])).
% 16.38/11.56 tff(22572,plain,
% 16.38/11.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB174, constB175)) | (v94(constB175) <=> (~((~v95(constB175)) | (~v104(constB175))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB174, constB175)) | (v94(constB175) <=> (~((~v95(constB175)) | (~v104(constB175))))))),
% 16.38/11.56 inference(rewrite,[status(thm)],[])).
% 16.38/11.56 tff(22573,plain,
% 16.38/11.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB174, constB175)) | (v94(constB175) <=> (~((~v95(constB175)) | (~v104(constB175))))))),
% 16.38/11.56 inference(quant_inst,[status(thm)],[])).
% 16.38/11.56 tff(22574,plain,
% 16.38/11.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB174, constB175)) | (v94(constB175) <=> (~((~v95(constB175)) | (~v104(constB175)))))),
% 16.38/11.56 inference(modus_ponens,[status(thm)],[22573, 22572])).
% 16.38/11.56 tff(22575,plain,
% 16.38/11.56 (v94(constB175) <=> (~((~v95(constB175)) | (~v104(constB175))))),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22574, 22571, 770])).
% 16.38/11.56 tff(22576,plain,
% 16.38/11.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175))))))),
% 16.38/11.56 inference(rewrite,[status(thm)],[])).
% 16.38/11.56 tff(22577,plain,
% 16.38/11.56 (((~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v96(constB175)) | (~v1(constB175)))))) <=> ((~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175))))))),
% 16.38/11.56 inference(rewrite,[status(thm)],[])).
% 16.38/11.56 tff(22578,plain,
% 16.38/11.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v96(constB175)) | (~v1(constB175))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175)))))))),
% 16.38/11.56 inference(monotonicity,[status(thm)],[22577])).
% 16.38/11.56 tff(22579,plain,
% 16.38/11.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v96(constB175)) | (~v1(constB175))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175))))))),
% 16.38/11.56 inference(transitivity,[status(thm)],[22578, 22576])).
% 16.38/11.56 tff(22580,plain,
% 16.38/11.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v96(constB175)) | (~v1(constB175))))))),
% 16.38/11.56 inference(quant_inst,[status(thm)],[])).
% 16.38/11.56 tff(22581,plain,
% 16.38/11.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175)))))),
% 16.38/11.56 inference(modus_ponens,[status(thm)],[22580, 22579])).
% 16.38/11.56 tff(22582,plain,
% 16.38/11.56 (v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175))))),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22581, 22571, 790])).
% 16.38/11.56 tff(22583,plain,
% 16.38/11.56 ((~v1(constB175)) <=> (~v1(constB175))),
% 16.38/11.56 inference(rewrite,[status(thm)],[])).
% 16.38/11.56 tff(22584,axiom,(~v1(constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_175')).
% 16.38/11.56 tff(22585,plain,
% 16.38/11.56 (~v1(constB175)),
% 16.38/11.56 inference(modus_ponens,[status(thm)],[22584, 22583])).
% 16.38/11.56 tff(22586,plain,
% 16.38/11.56 (((~v1(constB175)) | (~v96(constB175))) | v1(constB175)),
% 16.38/11.56 inference(tautology,[status(thm)],[])).
% 16.38/11.56 tff(22587,plain,
% 16.38/11.56 ((~v1(constB175)) | (~v96(constB175))),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22586, 22585])).
% 16.38/11.56 tff(22588,plain,
% 16.38/11.56 ((~(v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175)))))) | (~v95(constB175)) | (~((~v1(constB175)) | (~v96(constB175))))),
% 16.38/11.56 inference(tautology,[status(thm)],[])).
% 16.38/11.56 tff(22589,plain,
% 16.38/11.56 ((~(v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175)))))) | (~v95(constB175))),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22588, 22587])).
% 16.38/11.56 tff(22590,plain,
% 16.38/11.56 (~v95(constB175)),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22589, 22582])).
% 16.38/11.56 tff(22591,plain,
% 16.38/11.56 (((~v95(constB175)) | (~v104(constB175))) | v95(constB175)),
% 16.38/11.56 inference(tautology,[status(thm)],[])).
% 16.38/11.56 tff(22592,plain,
% 16.38/11.56 ((~v95(constB175)) | (~v104(constB175))),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22591, 22590])).
% 16.38/11.56 tff(22593,plain,
% 16.38/11.56 ((~(v94(constB175) <=> (~((~v95(constB175)) | (~v104(constB175)))))) | (~v94(constB175)) | (~((~v95(constB175)) | (~v104(constB175))))),
% 16.38/11.56 inference(tautology,[status(thm)],[])).
% 16.38/11.56 tff(22594,plain,
% 16.38/11.56 (~v94(constB175)),
% 16.38/11.56 inference(unit_resolution,[status(thm)],[22593, 22592, 22575])).
% 16.38/11.56 tff(22595,plain,
% 16.38/11.56 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB175) | (~nextState(constB174, constB175)) | (~(((~v84(constB175, 1)) <=> v84(constB174, 1)) | ((~v84(constB175, 2)) <=> v84(constB174, 2)) | ((~v84(constB175, 0)) <=> v84(constB174, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB175) | (~nextState(constB174, constB175)) | (~(((~v84(constB175, 1)) <=> v84(constB174, 1)) | ((~v84(constB175, 2)) <=> v84(constB174, 2)) | ((~v84(constB175, 0)) <=> v84(constB174, 0)))))),
% 16.38/11.56 inference(rewrite,[status(thm)],[])).
% 16.38/11.56 tff(22596,plain,
% 16.38/11.56 ((v94(constB175) | (~nextState(constB174, constB175)) | (~(((~v84(constB175, 2)) <=> v84(constB174, 2)) | ((~v84(constB175, 1)) <=> v84(constB174, 1)) | ((~v84(constB175, 0)) <=> v84(constB174, 0))))) <=> (v94(constB175) | (~nextState(constB174, constB175)) | (~(((~v84(constB175, 1)) <=> v84(constB174, 1)) | ((~v84(constB175, 2)) <=> v84(constB174, 2)) | ((~v84(constB175, 0)) <=> v84(constB174, 0)))))),
% 16.38/11.56 inference(rewrite,[status(thm)],[])).
% 16.38/11.56 tff(22597,plain,
% 16.38/11.56 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB175) | (~nextState(constB174, constB175)) | (~(((~v84(constB175, 2)) <=> v84(constB174, 2)) | ((~v84(constB175, 1)) <=> v84(constB174, 1)) | ((~v84(constB175, 0)) <=> v84(constB174, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB175) | (~nextState(constB174, constB175)) | (~(((~v84(constB175, 1)) <=> v84(constB174, 1)) | ((~v84(constB175, 2)) <=> v84(constB174, 2)) | ((~v84(constB175, 0)) <=> v84(constB174, 0))))))),
% 16.38/11.57 inference(monotonicity,[status(thm)],[22596])).
% 16.38/11.57 tff(22598,plain,
% 16.38/11.57 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB175) | (~nextState(constB174, constB175)) | (~(((~v84(constB175, 2)) <=> v84(constB174, 2)) | ((~v84(constB175, 1)) <=> v84(constB174, 1)) | ((~v84(constB175, 0)) <=> v84(constB174, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB175) | (~nextState(constB174, constB175)) | (~(((~v84(constB175, 1)) <=> v84(constB174, 1)) | ((~v84(constB175, 2)) <=> v84(constB174, 2)) | ((~v84(constB175, 0)) <=> v84(constB174, 0)))))),
% 16.38/11.57 inference(transitivity,[status(thm)],[22597, 22595])).
% 16.38/11.57 tff(22599,plain,
% 16.38/11.57 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB175) | (~nextState(constB174, constB175)) | (~(((~v84(constB175, 2)) <=> v84(constB174, 2)) | ((~v84(constB175, 1)) <=> v84(constB174, 1)) | ((~v84(constB175, 0)) <=> v84(constB174, 0)))))),
% 16.38/11.57 inference(quant_inst,[status(thm)],[])).
% 16.38/11.57 tff(22600,plain,
% 16.38/11.57 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB175) | (~nextState(constB174, constB175)) | (~(((~v84(constB175, 1)) <=> v84(constB174, 1)) | ((~v84(constB175, 2)) <=> v84(constB174, 2)) | ((~v84(constB175, 0)) <=> v84(constB174, 0))))),
% 16.38/11.57 inference(modus_ponens,[status(thm)],[22599, 22598])).
% 16.38/11.57 tff(22601,plain,
% 16.38/11.57 (v94(constB175) | (~(((~v84(constB175, 1)) <=> v84(constB174, 1)) | ((~v84(constB175, 2)) <=> v84(constB174, 2)) | ((~v84(constB175, 0)) <=> v84(constB174, 0))))),
% 16.38/11.57 inference(unit_resolution,[status(thm)],[22600, 22571, 819])).
% 16.38/11.57 tff(22602,plain,
% 16.38/11.57 (~(((~v84(constB175, 1)) <=> v84(constB174, 1)) | ((~v84(constB175, 2)) <=> v84(constB174, 2)) | ((~v84(constB175, 0)) <=> v84(constB174, 0)))),
% 16.38/11.57 inference(unit_resolution,[status(thm)],[22601, 22594])).
% 16.38/11.57 tff(22603,plain,
% 16.38/11.57 ((((~v84(constB175, 1)) <=> v84(constB174, 1)) | ((~v84(constB175, 2)) <=> v84(constB174, 2)) | ((~v84(constB175, 0)) <=> v84(constB174, 0))) | (~((~v84(constB175, 0)) <=> v84(constB174, 0)))),
% 16.38/11.57 inference(tautology,[status(thm)],[])).
% 16.38/11.57 tff(22604,plain,
% 16.38/11.57 (~((~v84(constB175, 0)) <=> v84(constB174, 0))),
% 16.38/11.57 inference(unit_resolution,[status(thm)],[22603, 22602])).
% 16.38/11.57 tff(22605,plain,
% 16.38/11.57 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 16.38/11.57 inference(rewrite,[status(thm)],[])).
% 16.38/11.57 tff(22606,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_173')).
% 16.38/11.57 tff(22607,plain,
% 16.38/11.57 (nextState(constB173, constB174)),
% 16.38/11.57 inference(modus_ponens,[status(thm)],[22606, 22605])).
% 16.38/11.57 tff(22608,plain,
% 16.38/11.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB173, constB174)) | (~(((~v123(constB174, 2)) <=> v121(constB173, 2)) | ((~v123(constB174, 1)) <=> v121(constB173, 1)) | ((~v123(constB174, 0)) <=> v121(constB173, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB173, constB174)) | (~(((~v123(constB174, 2)) <=> v121(constB173, 2)) | ((~v123(constB174, 1)) <=> v121(constB173, 1)) | ((~v123(constB174, 0)) <=> v121(constB173, 0)))))),
% 16.38/11.57 inference(rewrite,[status(thm)],[])).
% 16.38/11.57 tff(22609,plain,
% 16.38/11.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB173, constB174)) | (~(((~v123(constB174, 2)) <=> v121(constB173, 2)) | ((~v123(constB174, 1)) <=> v121(constB173, 1)) | ((~v123(constB174, 0)) <=> v121(constB173, 0)))))),
% 16.38/11.57 inference(quant_inst,[status(thm)],[])).
% 16.38/11.57 tff(22610,plain,
% 16.38/11.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB173, constB174)) | (~(((~v123(constB174, 2)) <=> v121(constB173, 2)) | ((~v123(constB174, 1)) <=> v121(constB173, 1)) | ((~v123(constB174, 0)) <=> v121(constB173, 0))))),
% 16.38/11.57 inference(modus_ponens,[status(thm)],[22609, 22608])).
% 16.38/11.57 tff(22611,plain,
% 16.38/11.57 (~(((~v123(constB174, 2)) <=> v121(constB173, 2)) | ((~v123(constB174, 1)) <=> v121(constB173, 1)) | ((~v123(constB174, 0)) <=> v121(constB173, 0)))),
% 16.38/11.57 inference(unit_resolution,[status(thm)],[22610, 22607, 842])).
% 16.38/11.57 tff(22612,plain,
% 16.38/11.57 ((((~v123(constB174, 2)) <=> v121(constB173, 2)) | ((~v123(constB174, 1)) <=> v121(constB173, 1)) | ((~v123(constB174, 0)) <=> v121(constB173, 0))) | (~((~v123(constB174, 0)) <=> v121(constB173, 0)))),
% 16.38/11.57 inference(tautology,[status(thm)],[])).
% 16.38/11.57 tff(22613,plain,
% 16.38/11.57 (~((~v123(constB174, 0)) <=> v121(constB173, 0))),
% 16.38/11.57 inference(unit_resolution,[status(thm)],[22612, 22611])).
% 16.38/11.57 tff(22614,plain,
% 16.38/11.57 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB173) <=> v26(constB173))),
% 16.38/11.57 inference(quant_inst,[status(thm)],[])).
% 16.38/11.57 tff(22615,plain,
% 16.38/11.57 (v105(constB173) <=> v26(constB173)),
% 16.38/11.57 inference(unit_resolution,[status(thm)],[22614, 861])).
% 16.38/11.57 tff(22616,plain,
% 16.38/11.57 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB173))),
% 16.38/11.57 inference(quant_inst,[status(thm)],[])).
% 16.38/11.57 tff(22617,plain,
% 16.38/11.57 (~v26(constB173)),
% 16.38/11.57 inference(unit_resolution,[status(thm)],[22616, 873])).
% 16.38/11.57 tff(22618,plain,
% 16.38/11.57 ((~(v105(constB173) <=> v26(constB173))) | (~v105(constB173)) | v26(constB173)),
% 16.38/11.57 inference(tautology,[status(thm)],[])).
% 16.38/11.57 tff(22619,plain,
% 16.38/11.57 ((~(v105(constB173) <=> v26(constB173))) | (~v105(constB173))),
% 16.38/11.57 inference(unit_resolution,[status(thm)],[22618, 22617])).
% 16.38/11.57 tff(22620,plain,
% 16.38/11.57 (~v105(constB173)),
% 16.38/11.57 inference(unit_resolution,[status(thm)],[22619, 22615])).
% 16.38/11.57 tff(22621,plain,
% 16.38/11.57 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB173) | (~(((~v121(constB173, 2)) <=> v124(constB173, 2)) | ((~v121(constB173, 0)) <=> v124(constB173, 0)) | ((~v121(constB173, 1)) <=> v124(constB173, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB173) | (~(((~v121(constB173, 2)) <=> v124(constB173, 2)) | ((~v121(constB173, 0)) <=> v124(constB173, 0)) | ((~v121(constB173, 1)) <=> v124(constB173, 1)))))),
% 16.38/11.57 inference(rewrite,[status(thm)],[])).
% 16.38/11.57 tff(22622,plain,
% 16.38/11.57 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB173) | (~(((~v121(constB173, 2)) <=> v124(constB173, 2)) | ((~v121(constB173, 0)) <=> v124(constB173, 0)) | ((~v121(constB173, 1)) <=> v124(constB173, 1)))))),
% 16.38/11.57 inference(quant_inst,[status(thm)],[])).
% 16.38/11.57 tff(22623,plain,
% 16.38/11.57 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB173) | (~(((~v121(constB173, 2)) <=> v124(constB173, 2)) | ((~v121(constB173, 0)) <=> v124(constB173, 0)) | ((~v121(constB173, 1)) <=> v124(constB173, 1))))),
% 16.38/11.57 inference(modus_ponens,[status(thm)],[22622, 22621])).
% 16.38/11.57 tff(22624,plain,
% 16.38/11.57 (v105(constB173) | (~(((~v121(constB173, 2)) <=> v124(constB173, 2)) | ((~v121(constB173, 0)) <=> v124(constB173, 0)) | ((~v121(constB173, 1)) <=> v124(constB173, 1))))),
% 16.38/11.57 inference(unit_resolution,[status(thm)],[22623, 891])).
% 16.38/11.57 tff(22625,plain,
% 16.38/11.57 (~(((~v121(constB173, 2)) <=> v124(constB173, 2)) | ((~v121(constB173, 0)) <=> v124(constB173, 0)) | ((~v121(constB173, 1)) <=> v124(constB173, 1)))),
% 16.38/11.57 inference(unit_resolution,[status(thm)],[22624, 22620])).
% 16.38/11.57 tff(22626,plain,
% 16.38/11.57 ((((~v121(constB173, 2)) <=> v124(constB173, 2)) | ((~v121(constB173, 0)) <=> v124(constB173, 0)) | ((~v121(constB173, 1)) <=> v124(constB173, 1))) | (~((~v121(constB173, 0)) <=> v124(constB173, 0)))),
% 16.38/11.57 inference(tautology,[status(thm)],[])).
% 16.38/11.57 tff(22627,plain,
% 16.38/11.57 (~((~v121(constB173, 0)) <=> v124(constB173, 0))),
% 16.38/11.57 inference(unit_resolution,[status(thm)],[22626, 22625])).
% 16.38/11.57 tff(22628,plain,
% 16.38/11.57 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB173) <=> (~(v84(constB173, 1) | v84(constB173, 0) | (~v84(constB173, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB173) <=> (~(v84(constB173, 1) | v84(constB173, 0) | (~v84(constB173, 2))))))),
% 16.38/11.57 inference(rewrite,[status(thm)],[])).
% 16.38/11.57 tff(22629,plain,
% 16.38/11.57 ((v117(constB173) <=> (~(v84(constB173, 0) | v84(constB173, 1) | (~v84(constB173, 2))))) <=> (v117(constB173) <=> (~(v84(constB173, 1) | v84(constB173, 0) | (~v84(constB173, 2)))))),
% 16.38/11.57 inference(rewrite,[status(thm)],[])).
% 16.38/11.57 tff(22630,plain,
% 16.38/11.57 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB173) <=> (~(v84(constB173, 0) | v84(constB173, 1) | (~v84(constB173, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB173) <=> (~(v84(constB173, 1) | v84(constB173, 0) | (~v84(constB173, 2))))))),
% 16.38/11.57 inference(monotonicity,[status(thm)],[22629])).
% 16.38/11.57 tff(22631,plain,
% 16.38/11.57 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB173) <=> (~(v84(constB173, 0) | v84(constB173, 1) | (~v84(constB173, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB173) <=> (~(v84(constB173, 1) | v84(constB173, 0) | (~v84(constB173, 2))))))),
% 16.38/11.57 inference(transitivity,[status(thm)],[22630, 22628])).
% 16.38/11.57 tff(22632,plain,
% 16.38/11.57 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB173) <=> (~(v84(constB173, 0) | v84(constB173, 1) | (~v84(constB173, 2)))))),
% 16.38/11.57 inference(quant_inst,[status(thm)],[])).
% 16.38/11.57 tff(22633,plain,
% 16.38/11.57 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB173) <=> (~(v84(constB173, 1) | v84(constB173, 0) | (~v84(constB173, 2)))))),
% 16.38/11.57 inference(modus_ponens,[status(thm)],[22632, 22631])).
% 16.38/11.57 tff(22634,plain,
% 16.38/11.57 (v117(constB173) <=> (~(v84(constB173, 1) | v84(constB173, 0) | (~v84(constB173, 2))))),
% 16.38/11.57 inference(unit_resolution,[status(thm)],[22633, 1199])).
% 16.38/11.57 tff(22635,plain,
% 16.38/11.57 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 16.38/11.57 inference(rewrite,[status(thm)],[])).
% 16.38/11.57 tff(22636,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_172')).
% 16.38/11.57 tff(22637,plain,
% 16.38/11.57 (nextState(constB172, constB173)),
% 16.38/11.57 inference(modus_ponens,[status(thm)],[22636, 22635])).
% 16.38/11.57 tff(22638,plain,
% 16.38/11.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB172, constB173)) | (v94(constB173) <=> (~((~v95(constB173)) | (~v104(constB173))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB172, constB173)) | (v94(constB173) <=> (~((~v95(constB173)) | (~v104(constB173))))))),
% 16.38/11.57 inference(rewrite,[status(thm)],[])).
% 16.38/11.57 tff(22639,plain,
% 16.38/11.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB172, constB173)) | (v94(constB173) <=> (~((~v95(constB173)) | (~v104(constB173))))))),
% 16.38/11.57 inference(quant_inst,[status(thm)],[])).
% 16.38/11.57 tff(22640,plain,
% 16.38/11.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB172, constB173)) | (v94(constB173) <=> (~((~v95(constB173)) | (~v104(constB173)))))),
% 16.38/11.57 inference(modus_ponens,[status(thm)],[22639, 22638])).
% 16.38/11.57 tff(22641,plain,
% 16.38/11.57 (v94(constB173) <=> (~((~v95(constB173)) | (~v104(constB173))))),
% 16.38/11.57 inference(unit_resolution,[status(thm)],[22640, 22637, 770])).
% 16.38/11.57 tff(22642,plain,
% 16.38/11.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173))))))),
% 16.38/11.57 inference(rewrite,[status(thm)],[])).
% 16.38/11.57 tff(22643,plain,
% 16.38/11.57 (((~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v96(constB173)) | (~v1(constB173)))))) <=> ((~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173))))))),
% 16.38/11.57 inference(rewrite,[status(thm)],[])).
% 16.38/11.57 tff(22644,plain,
% 16.38/11.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v96(constB173)) | (~v1(constB173))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173)))))))),
% 16.38/11.57 inference(monotonicity,[status(thm)],[22643])).
% 16.38/11.57 tff(22645,plain,
% 16.38/11.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v96(constB173)) | (~v1(constB173))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173))))))),
% 16.38/11.57 inference(transitivity,[status(thm)],[22644, 22642])).
% 16.38/11.57 tff(22646,plain,
% 16.38/11.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v96(constB173)) | (~v1(constB173))))))),
% 16.38/11.57 inference(quant_inst,[status(thm)],[])).
% 16.38/11.57 tff(22647,plain,
% 16.38/11.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173)))))),
% 16.38/11.57 inference(modus_ponens,[status(thm)],[22646, 22645])).
% 16.44/11.58 tff(22648,plain,
% 16.44/11.58 (v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173))))),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22647, 22637, 790])).
% 16.44/11.58 tff(22649,plain,
% 16.44/11.58 ((~v1(constB173)) <=> (~v1(constB173))),
% 16.44/11.58 inference(rewrite,[status(thm)],[])).
% 16.44/11.58 tff(22650,axiom,(~v1(constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_173')).
% 16.44/11.58 tff(22651,plain,
% 16.44/11.58 (~v1(constB173)),
% 16.44/11.58 inference(modus_ponens,[status(thm)],[22650, 22649])).
% 16.44/11.58 tff(22652,plain,
% 16.44/11.58 (((~v1(constB173)) | (~v96(constB173))) | v1(constB173)),
% 16.44/11.58 inference(tautology,[status(thm)],[])).
% 16.44/11.58 tff(22653,plain,
% 16.44/11.58 ((~v1(constB173)) | (~v96(constB173))),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22652, 22651])).
% 16.44/11.58 tff(22654,plain,
% 16.44/11.58 ((~(v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173)))))) | (~v95(constB173)) | (~((~v1(constB173)) | (~v96(constB173))))),
% 16.44/11.58 inference(tautology,[status(thm)],[])).
% 16.44/11.58 tff(22655,plain,
% 16.44/11.58 ((~(v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173)))))) | (~v95(constB173))),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22654, 22653])).
% 16.44/11.58 tff(22656,plain,
% 16.44/11.58 (~v95(constB173)),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22655, 22648])).
% 16.44/11.58 tff(22657,plain,
% 16.44/11.58 (((~v95(constB173)) | (~v104(constB173))) | v95(constB173)),
% 16.44/11.58 inference(tautology,[status(thm)],[])).
% 16.44/11.58 tff(22658,plain,
% 16.44/11.58 ((~v95(constB173)) | (~v104(constB173))),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22657, 22656])).
% 16.44/11.58 tff(22659,plain,
% 16.44/11.58 ((~(v94(constB173) <=> (~((~v95(constB173)) | (~v104(constB173)))))) | (~v94(constB173)) | (~((~v95(constB173)) | (~v104(constB173))))),
% 16.44/11.58 inference(tautology,[status(thm)],[])).
% 16.44/11.58 tff(22660,plain,
% 16.44/11.58 (~v94(constB173)),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22659, 22658, 22641])).
% 16.44/11.58 tff(22661,plain,
% 16.44/11.58 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB173) | (~nextState(constB172, constB173)) | (~(((~v84(constB173, 1)) <=> v84(constB172, 1)) | ((~v84(constB173, 2)) <=> v84(constB172, 2)) | ((~v84(constB173, 0)) <=> v84(constB172, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB173) | (~nextState(constB172, constB173)) | (~(((~v84(constB173, 1)) <=> v84(constB172, 1)) | ((~v84(constB173, 2)) <=> v84(constB172, 2)) | ((~v84(constB173, 0)) <=> v84(constB172, 0)))))),
% 16.44/11.58 inference(rewrite,[status(thm)],[])).
% 16.44/11.58 tff(22662,plain,
% 16.44/11.58 ((v94(constB173) | (~nextState(constB172, constB173)) | (~(((~v84(constB173, 2)) <=> v84(constB172, 2)) | ((~v84(constB173, 1)) <=> v84(constB172, 1)) | ((~v84(constB173, 0)) <=> v84(constB172, 0))))) <=> (v94(constB173) | (~nextState(constB172, constB173)) | (~(((~v84(constB173, 1)) <=> v84(constB172, 1)) | ((~v84(constB173, 2)) <=> v84(constB172, 2)) | ((~v84(constB173, 0)) <=> v84(constB172, 0)))))),
% 16.44/11.58 inference(rewrite,[status(thm)],[])).
% 16.44/11.58 tff(22663,plain,
% 16.44/11.58 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB173) | (~nextState(constB172, constB173)) | (~(((~v84(constB173, 2)) <=> v84(constB172, 2)) | ((~v84(constB173, 1)) <=> v84(constB172, 1)) | ((~v84(constB173, 0)) <=> v84(constB172, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB173) | (~nextState(constB172, constB173)) | (~(((~v84(constB173, 1)) <=> v84(constB172, 1)) | ((~v84(constB173, 2)) <=> v84(constB172, 2)) | ((~v84(constB173, 0)) <=> v84(constB172, 0))))))),
% 16.44/11.58 inference(monotonicity,[status(thm)],[22662])).
% 16.44/11.58 tff(22664,plain,
% 16.44/11.58 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB173) | (~nextState(constB172, constB173)) | (~(((~v84(constB173, 2)) <=> v84(constB172, 2)) | ((~v84(constB173, 1)) <=> v84(constB172, 1)) | ((~v84(constB173, 0)) <=> v84(constB172, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB173) | (~nextState(constB172, constB173)) | (~(((~v84(constB173, 1)) <=> v84(constB172, 1)) | ((~v84(constB173, 2)) <=> v84(constB172, 2)) | ((~v84(constB173, 0)) <=> v84(constB172, 0)))))),
% 16.44/11.58 inference(transitivity,[status(thm)],[22663, 22661])).
% 16.44/11.58 tff(22665,plain,
% 16.44/11.58 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB173) | (~nextState(constB172, constB173)) | (~(((~v84(constB173, 2)) <=> v84(constB172, 2)) | ((~v84(constB173, 1)) <=> v84(constB172, 1)) | ((~v84(constB173, 0)) <=> v84(constB172, 0)))))),
% 16.44/11.58 inference(quant_inst,[status(thm)],[])).
% 16.44/11.58 tff(22666,plain,
% 16.44/11.58 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB173) | (~nextState(constB172, constB173)) | (~(((~v84(constB173, 1)) <=> v84(constB172, 1)) | ((~v84(constB173, 2)) <=> v84(constB172, 2)) | ((~v84(constB173, 0)) <=> v84(constB172, 0))))),
% 16.44/11.58 inference(modus_ponens,[status(thm)],[22665, 22664])).
% 16.44/11.58 tff(22667,plain,
% 16.44/11.58 (v94(constB173) | (~(((~v84(constB173, 1)) <=> v84(constB172, 1)) | ((~v84(constB173, 2)) <=> v84(constB172, 2)) | ((~v84(constB173, 0)) <=> v84(constB172, 0))))),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22666, 22637, 819])).
% 16.44/11.58 tff(22668,plain,
% 16.44/11.58 (~(((~v84(constB173, 1)) <=> v84(constB172, 1)) | ((~v84(constB173, 2)) <=> v84(constB172, 2)) | ((~v84(constB173, 0)) <=> v84(constB172, 0)))),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22667, 22660])).
% 16.44/11.58 tff(22669,plain,
% 16.44/11.58 ((((~v84(constB173, 1)) <=> v84(constB172, 1)) | ((~v84(constB173, 2)) <=> v84(constB172, 2)) | ((~v84(constB173, 0)) <=> v84(constB172, 0))) | (~((~v84(constB173, 2)) <=> v84(constB172, 2)))),
% 16.44/11.58 inference(tautology,[status(thm)],[])).
% 16.44/11.58 tff(22670,plain,
% 16.44/11.58 (~((~v84(constB173, 2)) <=> v84(constB172, 2))),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22669, 22668])).
% 16.44/11.58 tff(22671,plain,
% 16.44/11.58 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 16.44/11.58 inference(rewrite,[status(thm)],[])).
% 16.44/11.58 tff(22672,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_171')).
% 16.44/11.58 tff(22673,plain,
% 16.44/11.58 (nextState(constB171, constB172)),
% 16.44/11.58 inference(modus_ponens,[status(thm)],[22672, 22671])).
% 16.44/11.58 tff(22674,plain,
% 16.44/11.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB171, constB172)) | (~(((~v123(constB172, 2)) <=> v121(constB171, 2)) | ((~v123(constB172, 1)) <=> v121(constB171, 1)) | ((~v123(constB172, 0)) <=> v121(constB171, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB171, constB172)) | (~(((~v123(constB172, 2)) <=> v121(constB171, 2)) | ((~v123(constB172, 1)) <=> v121(constB171, 1)) | ((~v123(constB172, 0)) <=> v121(constB171, 0)))))),
% 16.44/11.58 inference(rewrite,[status(thm)],[])).
% 16.44/11.58 tff(22675,plain,
% 16.44/11.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB171, constB172)) | (~(((~v123(constB172, 2)) <=> v121(constB171, 2)) | ((~v123(constB172, 1)) <=> v121(constB171, 1)) | ((~v123(constB172, 0)) <=> v121(constB171, 0)))))),
% 16.44/11.58 inference(quant_inst,[status(thm)],[])).
% 16.44/11.58 tff(22676,plain,
% 16.44/11.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB171, constB172)) | (~(((~v123(constB172, 2)) <=> v121(constB171, 2)) | ((~v123(constB172, 1)) <=> v121(constB171, 1)) | ((~v123(constB172, 0)) <=> v121(constB171, 0))))),
% 16.44/11.58 inference(modus_ponens,[status(thm)],[22675, 22674])).
% 16.44/11.58 tff(22677,plain,
% 16.44/11.58 (~(((~v123(constB172, 2)) <=> v121(constB171, 2)) | ((~v123(constB172, 1)) <=> v121(constB171, 1)) | ((~v123(constB172, 0)) <=> v121(constB171, 0)))),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22676, 22673, 842])).
% 16.44/11.58 tff(22678,plain,
% 16.44/11.58 ((((~v123(constB172, 2)) <=> v121(constB171, 2)) | ((~v123(constB172, 1)) <=> v121(constB171, 1)) | ((~v123(constB172, 0)) <=> v121(constB171, 0))) | (~((~v123(constB172, 2)) <=> v121(constB171, 2)))),
% 16.44/11.58 inference(tautology,[status(thm)],[])).
% 16.44/11.58 tff(22679,plain,
% 16.44/11.58 (~((~v123(constB172, 2)) <=> v121(constB171, 2))),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22678, 22677])).
% 16.44/11.58 tff(22680,plain,
% 16.44/11.58 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB171) <=> v26(constB171))),
% 16.44/11.58 inference(quant_inst,[status(thm)],[])).
% 16.44/11.58 tff(22681,plain,
% 16.44/11.58 (v105(constB171) <=> v26(constB171)),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22680, 861])).
% 16.44/11.58 tff(22682,plain,
% 16.44/11.58 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB171))),
% 16.44/11.58 inference(quant_inst,[status(thm)],[])).
% 16.44/11.58 tff(22683,plain,
% 16.44/11.58 (~v26(constB171)),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22682, 873])).
% 16.44/11.58 tff(22684,plain,
% 16.44/11.58 ((~(v105(constB171) <=> v26(constB171))) | (~v105(constB171)) | v26(constB171)),
% 16.44/11.58 inference(tautology,[status(thm)],[])).
% 16.44/11.58 tff(22685,plain,
% 16.44/11.58 ((~(v105(constB171) <=> v26(constB171))) | (~v105(constB171))),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22684, 22683])).
% 16.44/11.58 tff(22686,plain,
% 16.44/11.58 (~v105(constB171)),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22685, 22681])).
% 16.44/11.58 tff(22687,plain,
% 16.44/11.58 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB171) | (~(((~v121(constB171, 2)) <=> v124(constB171, 2)) | ((~v121(constB171, 0)) <=> v124(constB171, 0)) | ((~v121(constB171, 1)) <=> v124(constB171, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB171) | (~(((~v121(constB171, 2)) <=> v124(constB171, 2)) | ((~v121(constB171, 0)) <=> v124(constB171, 0)) | ((~v121(constB171, 1)) <=> v124(constB171, 1)))))),
% 16.44/11.58 inference(rewrite,[status(thm)],[])).
% 16.44/11.58 tff(22688,plain,
% 16.44/11.58 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB171) | (~(((~v121(constB171, 2)) <=> v124(constB171, 2)) | ((~v121(constB171, 0)) <=> v124(constB171, 0)) | ((~v121(constB171, 1)) <=> v124(constB171, 1)))))),
% 16.44/11.58 inference(quant_inst,[status(thm)],[])).
% 16.44/11.58 tff(22689,plain,
% 16.44/11.58 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB171) | (~(((~v121(constB171, 2)) <=> v124(constB171, 2)) | ((~v121(constB171, 0)) <=> v124(constB171, 0)) | ((~v121(constB171, 1)) <=> v124(constB171, 1))))),
% 16.44/11.58 inference(modus_ponens,[status(thm)],[22688, 22687])).
% 16.44/11.58 tff(22690,plain,
% 16.44/11.58 (v105(constB171) | (~(((~v121(constB171, 2)) <=> v124(constB171, 2)) | ((~v121(constB171, 0)) <=> v124(constB171, 0)) | ((~v121(constB171, 1)) <=> v124(constB171, 1))))),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22689, 891])).
% 16.44/11.58 tff(22691,plain,
% 16.44/11.58 (~(((~v121(constB171, 2)) <=> v124(constB171, 2)) | ((~v121(constB171, 0)) <=> v124(constB171, 0)) | ((~v121(constB171, 1)) <=> v124(constB171, 1)))),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22690, 22686])).
% 16.44/11.58 tff(22692,plain,
% 16.44/11.58 ((((~v121(constB171, 2)) <=> v124(constB171, 2)) | ((~v121(constB171, 0)) <=> v124(constB171, 0)) | ((~v121(constB171, 1)) <=> v124(constB171, 1))) | (~((~v121(constB171, 2)) <=> v124(constB171, 2)))),
% 16.44/11.58 inference(tautology,[status(thm)],[])).
% 16.44/11.58 tff(22693,plain,
% 16.44/11.58 (~((~v121(constB171, 2)) <=> v124(constB171, 2))),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22692, 22691])).
% 16.44/11.58 tff(22694,plain,
% 16.44/11.58 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB171) <=> (~(v84(constB171, 2) | (~v84(constB171, 1)) | (~v84(constB171, 0)))))),
% 16.44/11.58 inference(quant_inst,[status(thm)],[])).
% 16.44/11.58 tff(22695,plain,
% 16.44/11.58 (v116(constB171) <=> (~(v84(constB171, 2) | (~v84(constB171, 1)) | (~v84(constB171, 0))))),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22694, 911])).
% 16.44/11.58 tff(22696,plain,
% 16.44/11.58 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 16.44/11.58 inference(rewrite,[status(thm)],[])).
% 16.44/11.58 tff(22697,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_170')).
% 16.44/11.58 tff(22698,plain,
% 16.44/11.58 (nextState(constB170, constB171)),
% 16.44/11.58 inference(modus_ponens,[status(thm)],[22697, 22696])).
% 16.44/11.58 tff(22699,plain,
% 16.44/11.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB170, constB171)) | (v94(constB171) <=> (~((~v95(constB171)) | (~v104(constB171))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB170, constB171)) | (v94(constB171) <=> (~((~v95(constB171)) | (~v104(constB171))))))),
% 16.44/11.58 inference(rewrite,[status(thm)],[])).
% 16.44/11.58 tff(22700,plain,
% 16.44/11.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB170, constB171)) | (v94(constB171) <=> (~((~v95(constB171)) | (~v104(constB171))))))),
% 16.44/11.58 inference(quant_inst,[status(thm)],[])).
% 16.44/11.58 tff(22701,plain,
% 16.44/11.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB170, constB171)) | (v94(constB171) <=> (~((~v95(constB171)) | (~v104(constB171)))))),
% 16.44/11.58 inference(modus_ponens,[status(thm)],[22700, 22699])).
% 16.44/11.58 tff(22702,plain,
% 16.44/11.58 (v94(constB171) <=> (~((~v95(constB171)) | (~v104(constB171))))),
% 16.44/11.58 inference(unit_resolution,[status(thm)],[22701, 22698, 770])).
% 16.44/11.58 tff(22703,plain,
% 16.44/11.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171))))))),
% 16.44/11.58 inference(rewrite,[status(thm)],[])).
% 16.44/11.58 tff(22704,plain,
% 16.44/11.58 (((~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v96(constB171)) | (~v1(constB171)))))) <=> ((~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171))))))),
% 16.44/11.58 inference(rewrite,[status(thm)],[])).
% 16.44/11.58 tff(22705,plain,
% 16.44/11.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v96(constB171)) | (~v1(constB171))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171)))))))),
% 16.44/11.59 inference(monotonicity,[status(thm)],[22704])).
% 16.44/11.59 tff(22706,plain,
% 16.44/11.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v96(constB171)) | (~v1(constB171))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171))))))),
% 16.44/11.59 inference(transitivity,[status(thm)],[22705, 22703])).
% 16.44/11.59 tff(22707,plain,
% 16.44/11.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v96(constB171)) | (~v1(constB171))))))),
% 16.44/11.59 inference(quant_inst,[status(thm)],[])).
% 16.44/11.59 tff(22708,plain,
% 16.44/11.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171)))))),
% 16.44/11.59 inference(modus_ponens,[status(thm)],[22707, 22706])).
% 16.44/11.59 tff(22709,plain,
% 16.44/11.59 (v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171))))),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22708, 22698, 790])).
% 16.44/11.59 tff(22710,plain,
% 16.44/11.59 ((~v1(constB171)) <=> (~v1(constB171))),
% 16.44/11.59 inference(rewrite,[status(thm)],[])).
% 16.44/11.59 tff(22711,axiom,(~v1(constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_171')).
% 16.44/11.59 tff(22712,plain,
% 16.44/11.59 (~v1(constB171)),
% 16.44/11.59 inference(modus_ponens,[status(thm)],[22711, 22710])).
% 16.44/11.59 tff(22713,plain,
% 16.44/11.59 (((~v1(constB171)) | (~v96(constB171))) | v1(constB171)),
% 16.44/11.59 inference(tautology,[status(thm)],[])).
% 16.44/11.59 tff(22714,plain,
% 16.44/11.59 ((~v1(constB171)) | (~v96(constB171))),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22713, 22712])).
% 16.44/11.59 tff(22715,plain,
% 16.44/11.59 ((~(v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171)))))) | (~v95(constB171)) | (~((~v1(constB171)) | (~v96(constB171))))),
% 16.44/11.59 inference(tautology,[status(thm)],[])).
% 16.44/11.59 tff(22716,plain,
% 16.44/11.59 ((~(v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171)))))) | (~v95(constB171))),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22715, 22714])).
% 16.44/11.59 tff(22717,plain,
% 16.44/11.59 (~v95(constB171)),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22716, 22709])).
% 16.44/11.59 tff(22718,plain,
% 16.44/11.59 (((~v95(constB171)) | (~v104(constB171))) | v95(constB171)),
% 16.44/11.59 inference(tautology,[status(thm)],[])).
% 16.44/11.59 tff(22719,plain,
% 16.44/11.59 ((~v95(constB171)) | (~v104(constB171))),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22718, 22717])).
% 16.44/11.59 tff(22720,plain,
% 16.44/11.59 ((~(v94(constB171) <=> (~((~v95(constB171)) | (~v104(constB171)))))) | (~v94(constB171)) | (~((~v95(constB171)) | (~v104(constB171))))),
% 16.44/11.59 inference(tautology,[status(thm)],[])).
% 16.44/11.59 tff(22721,plain,
% 16.44/11.59 (~v94(constB171)),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22720, 22719, 22702])).
% 16.44/11.59 tff(22722,plain,
% 16.44/11.59 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB171) | (~nextState(constB170, constB171)) | (~(((~v84(constB171, 1)) <=> v84(constB170, 1)) | ((~v84(constB171, 2)) <=> v84(constB170, 2)) | ((~v84(constB171, 0)) <=> v84(constB170, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB171) | (~nextState(constB170, constB171)) | (~(((~v84(constB171, 1)) <=> v84(constB170, 1)) | ((~v84(constB171, 2)) <=> v84(constB170, 2)) | ((~v84(constB171, 0)) <=> v84(constB170, 0)))))),
% 16.44/11.59 inference(rewrite,[status(thm)],[])).
% 16.44/11.59 tff(22723,plain,
% 16.44/11.59 ((v94(constB171) | (~nextState(constB170, constB171)) | (~(((~v84(constB171, 2)) <=> v84(constB170, 2)) | ((~v84(constB171, 1)) <=> v84(constB170, 1)) | ((~v84(constB171, 0)) <=> v84(constB170, 0))))) <=> (v94(constB171) | (~nextState(constB170, constB171)) | (~(((~v84(constB171, 1)) <=> v84(constB170, 1)) | ((~v84(constB171, 2)) <=> v84(constB170, 2)) | ((~v84(constB171, 0)) <=> v84(constB170, 0)))))),
% 16.44/11.59 inference(rewrite,[status(thm)],[])).
% 16.44/11.59 tff(22724,plain,
% 16.44/11.59 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB171) | (~nextState(constB170, constB171)) | (~(((~v84(constB171, 2)) <=> v84(constB170, 2)) | ((~v84(constB171, 1)) <=> v84(constB170, 1)) | ((~v84(constB171, 0)) <=> v84(constB170, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB171) | (~nextState(constB170, constB171)) | (~(((~v84(constB171, 1)) <=> v84(constB170, 1)) | ((~v84(constB171, 2)) <=> v84(constB170, 2)) | ((~v84(constB171, 0)) <=> v84(constB170, 0))))))),
% 16.44/11.59 inference(monotonicity,[status(thm)],[22723])).
% 16.44/11.59 tff(22725,plain,
% 16.44/11.59 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB171) | (~nextState(constB170, constB171)) | (~(((~v84(constB171, 2)) <=> v84(constB170, 2)) | ((~v84(constB171, 1)) <=> v84(constB170, 1)) | ((~v84(constB171, 0)) <=> v84(constB170, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB171) | (~nextState(constB170, constB171)) | (~(((~v84(constB171, 1)) <=> v84(constB170, 1)) | ((~v84(constB171, 2)) <=> v84(constB170, 2)) | ((~v84(constB171, 0)) <=> v84(constB170, 0)))))),
% 16.44/11.59 inference(transitivity,[status(thm)],[22724, 22722])).
% 16.44/11.59 tff(22726,plain,
% 16.44/11.59 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB171) | (~nextState(constB170, constB171)) | (~(((~v84(constB171, 2)) <=> v84(constB170, 2)) | ((~v84(constB171, 1)) <=> v84(constB170, 1)) | ((~v84(constB171, 0)) <=> v84(constB170, 0)))))),
% 16.44/11.59 inference(quant_inst,[status(thm)],[])).
% 16.44/11.59 tff(22727,plain,
% 16.44/11.59 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB171) | (~nextState(constB170, constB171)) | (~(((~v84(constB171, 1)) <=> v84(constB170, 1)) | ((~v84(constB171, 2)) <=> v84(constB170, 2)) | ((~v84(constB171, 0)) <=> v84(constB170, 0))))),
% 16.44/11.59 inference(modus_ponens,[status(thm)],[22726, 22725])).
% 16.44/11.59 tff(22728,plain,
% 16.44/11.59 (v94(constB171) | (~(((~v84(constB171, 1)) <=> v84(constB170, 1)) | ((~v84(constB171, 2)) <=> v84(constB170, 2)) | ((~v84(constB171, 0)) <=> v84(constB170, 0))))),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22727, 22698, 819])).
% 16.44/11.59 tff(22729,plain,
% 16.44/11.59 (~(((~v84(constB171, 1)) <=> v84(constB170, 1)) | ((~v84(constB171, 2)) <=> v84(constB170, 2)) | ((~v84(constB171, 0)) <=> v84(constB170, 0)))),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22728, 22721])).
% 16.44/11.59 tff(22730,plain,
% 16.44/11.59 ((((~v84(constB171, 1)) <=> v84(constB170, 1)) | ((~v84(constB171, 2)) <=> v84(constB170, 2)) | ((~v84(constB171, 0)) <=> v84(constB170, 0))) | (~((~v84(constB171, 2)) <=> v84(constB170, 2)))),
% 16.44/11.59 inference(tautology,[status(thm)],[])).
% 16.44/11.59 tff(22731,plain,
% 16.44/11.59 (~((~v84(constB171, 2)) <=> v84(constB170, 2))),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22730, 22729])).
% 16.44/11.59 tff(22732,plain,
% 16.44/11.59 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 16.44/11.59 inference(rewrite,[status(thm)],[])).
% 16.44/11.59 tff(22733,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_169')).
% 16.44/11.59 tff(22734,plain,
% 16.44/11.59 (nextState(constB169, constB170)),
% 16.44/11.59 inference(modus_ponens,[status(thm)],[22733, 22732])).
% 16.44/11.59 tff(22735,plain,
% 16.44/11.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB169, constB170)) | (~(((~v123(constB170, 2)) <=> v121(constB169, 2)) | ((~v123(constB170, 1)) <=> v121(constB169, 1)) | ((~v123(constB170, 0)) <=> v121(constB169, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB169, constB170)) | (~(((~v123(constB170, 2)) <=> v121(constB169, 2)) | ((~v123(constB170, 1)) <=> v121(constB169, 1)) | ((~v123(constB170, 0)) <=> v121(constB169, 0)))))),
% 16.44/11.59 inference(rewrite,[status(thm)],[])).
% 16.44/11.59 tff(22736,plain,
% 16.44/11.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB169, constB170)) | (~(((~v123(constB170, 2)) <=> v121(constB169, 2)) | ((~v123(constB170, 1)) <=> v121(constB169, 1)) | ((~v123(constB170, 0)) <=> v121(constB169, 0)))))),
% 16.44/11.59 inference(quant_inst,[status(thm)],[])).
% 16.44/11.59 tff(22737,plain,
% 16.44/11.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB169, constB170)) | (~(((~v123(constB170, 2)) <=> v121(constB169, 2)) | ((~v123(constB170, 1)) <=> v121(constB169, 1)) | ((~v123(constB170, 0)) <=> v121(constB169, 0))))),
% 16.44/11.59 inference(modus_ponens,[status(thm)],[22736, 22735])).
% 16.44/11.59 tff(22738,plain,
% 16.44/11.59 (~(((~v123(constB170, 2)) <=> v121(constB169, 2)) | ((~v123(constB170, 1)) <=> v121(constB169, 1)) | ((~v123(constB170, 0)) <=> v121(constB169, 0)))),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22737, 22734, 842])).
% 16.44/11.59 tff(22739,plain,
% 16.44/11.59 ((((~v123(constB170, 2)) <=> v121(constB169, 2)) | ((~v123(constB170, 1)) <=> v121(constB169, 1)) | ((~v123(constB170, 0)) <=> v121(constB169, 0))) | (~((~v123(constB170, 2)) <=> v121(constB169, 2)))),
% 16.44/11.59 inference(tautology,[status(thm)],[])).
% 16.44/11.59 tff(22740,plain,
% 16.44/11.59 (~((~v123(constB170, 2)) <=> v121(constB169, 2))),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22739, 22738])).
% 16.44/11.59 tff(22741,plain,
% 16.44/11.59 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB169) <=> v26(constB169))),
% 16.44/11.59 inference(quant_inst,[status(thm)],[])).
% 16.44/11.59 tff(22742,plain,
% 16.44/11.59 (v105(constB169) <=> v26(constB169)),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22741, 861])).
% 16.44/11.59 tff(22743,plain,
% 16.44/11.59 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB169))),
% 16.44/11.59 inference(quant_inst,[status(thm)],[])).
% 16.44/11.59 tff(22744,plain,
% 16.44/11.59 (~v26(constB169)),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22743, 873])).
% 16.44/11.59 tff(22745,plain,
% 16.44/11.59 ((~(v105(constB169) <=> v26(constB169))) | (~v105(constB169)) | v26(constB169)),
% 16.44/11.59 inference(tautology,[status(thm)],[])).
% 16.44/11.59 tff(22746,plain,
% 16.44/11.59 ((~(v105(constB169) <=> v26(constB169))) | (~v105(constB169))),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22745, 22744])).
% 16.44/11.59 tff(22747,plain,
% 16.44/11.59 (~v105(constB169)),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22746, 22742])).
% 16.44/11.59 tff(22748,plain,
% 16.44/11.59 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB169) | (~(((~v121(constB169, 2)) <=> v124(constB169, 2)) | ((~v121(constB169, 0)) <=> v124(constB169, 0)) | ((~v121(constB169, 1)) <=> v124(constB169, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB169) | (~(((~v121(constB169, 2)) <=> v124(constB169, 2)) | ((~v121(constB169, 0)) <=> v124(constB169, 0)) | ((~v121(constB169, 1)) <=> v124(constB169, 1)))))),
% 16.44/11.59 inference(rewrite,[status(thm)],[])).
% 16.44/11.59 tff(22749,plain,
% 16.44/11.59 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB169) | (~(((~v121(constB169, 2)) <=> v124(constB169, 2)) | ((~v121(constB169, 0)) <=> v124(constB169, 0)) | ((~v121(constB169, 1)) <=> v124(constB169, 1)))))),
% 16.44/11.59 inference(quant_inst,[status(thm)],[])).
% 16.44/11.59 tff(22750,plain,
% 16.44/11.59 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB169) | (~(((~v121(constB169, 2)) <=> v124(constB169, 2)) | ((~v121(constB169, 0)) <=> v124(constB169, 0)) | ((~v121(constB169, 1)) <=> v124(constB169, 1))))),
% 16.44/11.59 inference(modus_ponens,[status(thm)],[22749, 22748])).
% 16.44/11.59 tff(22751,plain,
% 16.44/11.59 (v105(constB169) | (~(((~v121(constB169, 2)) <=> v124(constB169, 2)) | ((~v121(constB169, 0)) <=> v124(constB169, 0)) | ((~v121(constB169, 1)) <=> v124(constB169, 1))))),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22750, 891])).
% 16.44/11.59 tff(22752,plain,
% 16.44/11.59 (~(((~v121(constB169, 2)) <=> v124(constB169, 2)) | ((~v121(constB169, 0)) <=> v124(constB169, 0)) | ((~v121(constB169, 1)) <=> v124(constB169, 1)))),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22751, 22747])).
% 16.44/11.59 tff(22753,plain,
% 16.44/11.59 ((((~v121(constB169, 2)) <=> v124(constB169, 2)) | ((~v121(constB169, 0)) <=> v124(constB169, 0)) | ((~v121(constB169, 1)) <=> v124(constB169, 1))) | (~((~v121(constB169, 2)) <=> v124(constB169, 2)))),
% 16.44/11.59 inference(tautology,[status(thm)],[])).
% 16.44/11.59 tff(22754,plain,
% 16.44/11.59 (~((~v121(constB169, 2)) <=> v124(constB169, 2))),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22753, 22752])).
% 16.44/11.59 tff(22755,plain,
% 16.44/11.59 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB169) <=> (~(v84(constB169, 2) | v84(constB169, 0) | (~v84(constB169, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB169) <=> (~(v84(constB169, 2) | v84(constB169, 0) | (~v84(constB169, 1))))))),
% 16.44/11.59 inference(rewrite,[status(thm)],[])).
% 16.44/11.59 tff(22756,plain,
% 16.44/11.59 ((v115(constB169) <=> (~(v84(constB169, 0) | v84(constB169, 2) | (~v84(constB169, 1))))) <=> (v115(constB169) <=> (~(v84(constB169, 2) | v84(constB169, 0) | (~v84(constB169, 1)))))),
% 16.44/11.59 inference(rewrite,[status(thm)],[])).
% 16.44/11.59 tff(22757,plain,
% 16.44/11.59 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB169) <=> (~(v84(constB169, 0) | v84(constB169, 2) | (~v84(constB169, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB169) <=> (~(v84(constB169, 2) | v84(constB169, 0) | (~v84(constB169, 1))))))),
% 16.44/11.59 inference(monotonicity,[status(thm)],[22756])).
% 16.44/11.59 tff(22758,plain,
% 16.44/11.59 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB169) <=> (~(v84(constB169, 0) | v84(constB169, 2) | (~v84(constB169, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB169) <=> (~(v84(constB169, 2) | v84(constB169, 0) | (~v84(constB169, 1))))))),
% 16.44/11.59 inference(transitivity,[status(thm)],[22757, 22755])).
% 16.44/11.59 tff(22759,plain,
% 16.44/11.59 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB169) <=> (~(v84(constB169, 0) | v84(constB169, 2) | (~v84(constB169, 1)))))),
% 16.44/11.59 inference(quant_inst,[status(thm)],[])).
% 16.44/11.59 tff(22760,plain,
% 16.44/11.59 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB169) <=> (~(v84(constB169, 2) | v84(constB169, 0) | (~v84(constB169, 1)))))),
% 16.44/11.59 inference(modus_ponens,[status(thm)],[22759, 22758])).
% 16.44/11.59 tff(22761,plain,
% 16.44/11.59 (v115(constB169) <=> (~(v84(constB169, 2) | v84(constB169, 0) | (~v84(constB169, 1))))),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22760, 985])).
% 16.44/11.59 tff(22762,plain,
% 16.44/11.59 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 16.44/11.59 inference(rewrite,[status(thm)],[])).
% 16.44/11.59 tff(22763,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_168')).
% 16.44/11.59 tff(22764,plain,
% 16.44/11.59 (nextState(constB168, constB169)),
% 16.44/11.59 inference(modus_ponens,[status(thm)],[22763, 22762])).
% 16.44/11.59 tff(22765,plain,
% 16.44/11.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB168, constB169)) | (v94(constB169) <=> (~((~v95(constB169)) | (~v104(constB169))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB168, constB169)) | (v94(constB169) <=> (~((~v95(constB169)) | (~v104(constB169))))))),
% 16.44/11.59 inference(rewrite,[status(thm)],[])).
% 16.44/11.59 tff(22766,plain,
% 16.44/11.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB168, constB169)) | (v94(constB169) <=> (~((~v95(constB169)) | (~v104(constB169))))))),
% 16.44/11.59 inference(quant_inst,[status(thm)],[])).
% 16.44/11.59 tff(22767,plain,
% 16.44/11.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB168, constB169)) | (v94(constB169) <=> (~((~v95(constB169)) | (~v104(constB169)))))),
% 16.44/11.59 inference(modus_ponens,[status(thm)],[22766, 22765])).
% 16.44/11.59 tff(22768,plain,
% 16.44/11.59 (v94(constB169) <=> (~((~v95(constB169)) | (~v104(constB169))))),
% 16.44/11.59 inference(unit_resolution,[status(thm)],[22767, 22764, 770])).
% 16.44/11.59 tff(22769,plain,
% 16.44/11.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169))))))),
% 16.44/11.59 inference(rewrite,[status(thm)],[])).
% 16.44/11.59 tff(22770,plain,
% 16.44/11.59 (((~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v96(constB169)) | (~v1(constB169)))))) <=> ((~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169))))))),
% 16.44/11.59 inference(rewrite,[status(thm)],[])).
% 16.44/11.59 tff(22771,plain,
% 16.44/11.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v96(constB169)) | (~v1(constB169))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169)))))))),
% 16.44/11.60 inference(monotonicity,[status(thm)],[22770])).
% 16.44/11.60 tff(22772,plain,
% 16.44/11.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v96(constB169)) | (~v1(constB169))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169))))))),
% 16.44/11.60 inference(transitivity,[status(thm)],[22771, 22769])).
% 16.44/11.60 tff(22773,plain,
% 16.44/11.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v96(constB169)) | (~v1(constB169))))))),
% 16.44/11.60 inference(quant_inst,[status(thm)],[])).
% 16.44/11.60 tff(22774,plain,
% 16.44/11.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169)))))),
% 16.44/11.60 inference(modus_ponens,[status(thm)],[22773, 22772])).
% 16.44/11.60 tff(22775,plain,
% 16.44/11.60 (v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169))))),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22774, 22764, 790])).
% 16.44/11.60 tff(22776,plain,
% 16.44/11.60 ((~v1(constB169)) <=> (~v1(constB169))),
% 16.44/11.60 inference(rewrite,[status(thm)],[])).
% 16.44/11.60 tff(22777,axiom,(~v1(constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_169')).
% 16.44/11.60 tff(22778,plain,
% 16.44/11.60 (~v1(constB169)),
% 16.44/11.60 inference(modus_ponens,[status(thm)],[22777, 22776])).
% 16.44/11.60 tff(22779,plain,
% 16.44/11.60 (((~v1(constB169)) | (~v96(constB169))) | v1(constB169)),
% 16.44/11.60 inference(tautology,[status(thm)],[])).
% 16.44/11.60 tff(22780,plain,
% 16.44/11.60 ((~v1(constB169)) | (~v96(constB169))),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22779, 22778])).
% 16.44/11.60 tff(22781,plain,
% 16.44/11.60 ((~(v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169)))))) | (~v95(constB169)) | (~((~v1(constB169)) | (~v96(constB169))))),
% 16.44/11.60 inference(tautology,[status(thm)],[])).
% 16.44/11.60 tff(22782,plain,
% 16.44/11.60 ((~(v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169)))))) | (~v95(constB169))),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22781, 22780])).
% 16.44/11.60 tff(22783,plain,
% 16.44/11.60 (~v95(constB169)),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22782, 22775])).
% 16.44/11.60 tff(22784,plain,
% 16.44/11.60 (((~v95(constB169)) | (~v104(constB169))) | v95(constB169)),
% 16.44/11.60 inference(tautology,[status(thm)],[])).
% 16.44/11.60 tff(22785,plain,
% 16.44/11.60 ((~v95(constB169)) | (~v104(constB169))),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22784, 22783])).
% 16.44/11.60 tff(22786,plain,
% 16.44/11.60 ((~(v94(constB169) <=> (~((~v95(constB169)) | (~v104(constB169)))))) | (~v94(constB169)) | (~((~v95(constB169)) | (~v104(constB169))))),
% 16.44/11.60 inference(tautology,[status(thm)],[])).
% 16.44/11.60 tff(22787,plain,
% 16.44/11.60 (~v94(constB169)),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22786, 22785, 22768])).
% 16.44/11.60 tff(22788,plain,
% 16.44/11.60 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB169) | (~nextState(constB168, constB169)) | (~(((~v84(constB169, 1)) <=> v84(constB168, 1)) | ((~v84(constB169, 2)) <=> v84(constB168, 2)) | ((~v84(constB169, 0)) <=> v84(constB168, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB169) | (~nextState(constB168, constB169)) | (~(((~v84(constB169, 1)) <=> v84(constB168, 1)) | ((~v84(constB169, 2)) <=> v84(constB168, 2)) | ((~v84(constB169, 0)) <=> v84(constB168, 0)))))),
% 16.44/11.60 inference(rewrite,[status(thm)],[])).
% 16.44/11.60 tff(22789,plain,
% 16.44/11.60 ((v94(constB169) | (~nextState(constB168, constB169)) | (~(((~v84(constB169, 2)) <=> v84(constB168, 2)) | ((~v84(constB169, 1)) <=> v84(constB168, 1)) | ((~v84(constB169, 0)) <=> v84(constB168, 0))))) <=> (v94(constB169) | (~nextState(constB168, constB169)) | (~(((~v84(constB169, 1)) <=> v84(constB168, 1)) | ((~v84(constB169, 2)) <=> v84(constB168, 2)) | ((~v84(constB169, 0)) <=> v84(constB168, 0)))))),
% 16.44/11.60 inference(rewrite,[status(thm)],[])).
% 16.44/11.60 tff(22790,plain,
% 16.44/11.60 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB169) | (~nextState(constB168, constB169)) | (~(((~v84(constB169, 2)) <=> v84(constB168, 2)) | ((~v84(constB169, 1)) <=> v84(constB168, 1)) | ((~v84(constB169, 0)) <=> v84(constB168, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB169) | (~nextState(constB168, constB169)) | (~(((~v84(constB169, 1)) <=> v84(constB168, 1)) | ((~v84(constB169, 2)) <=> v84(constB168, 2)) | ((~v84(constB169, 0)) <=> v84(constB168, 0))))))),
% 16.44/11.60 inference(monotonicity,[status(thm)],[22789])).
% 16.44/11.60 tff(22791,plain,
% 16.44/11.60 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB169) | (~nextState(constB168, constB169)) | (~(((~v84(constB169, 2)) <=> v84(constB168, 2)) | ((~v84(constB169, 1)) <=> v84(constB168, 1)) | ((~v84(constB169, 0)) <=> v84(constB168, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB169) | (~nextState(constB168, constB169)) | (~(((~v84(constB169, 1)) <=> v84(constB168, 1)) | ((~v84(constB169, 2)) <=> v84(constB168, 2)) | ((~v84(constB169, 0)) <=> v84(constB168, 0)))))),
% 16.44/11.60 inference(transitivity,[status(thm)],[22790, 22788])).
% 16.44/11.60 tff(22792,plain,
% 16.44/11.60 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB169) | (~nextState(constB168, constB169)) | (~(((~v84(constB169, 2)) <=> v84(constB168, 2)) | ((~v84(constB169, 1)) <=> v84(constB168, 1)) | ((~v84(constB169, 0)) <=> v84(constB168, 0)))))),
% 16.44/11.60 inference(quant_inst,[status(thm)],[])).
% 16.44/11.60 tff(22793,plain,
% 16.44/11.60 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB169) | (~nextState(constB168, constB169)) | (~(((~v84(constB169, 1)) <=> v84(constB168, 1)) | ((~v84(constB169, 2)) <=> v84(constB168, 2)) | ((~v84(constB169, 0)) <=> v84(constB168, 0))))),
% 16.44/11.60 inference(modus_ponens,[status(thm)],[22792, 22791])).
% 16.44/11.60 tff(22794,plain,
% 16.44/11.60 (v94(constB169) | (~(((~v84(constB169, 1)) <=> v84(constB168, 1)) | ((~v84(constB169, 2)) <=> v84(constB168, 2)) | ((~v84(constB169, 0)) <=> v84(constB168, 0))))),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22793, 22764, 819])).
% 16.44/11.60 tff(22795,plain,
% 16.44/11.60 (~(((~v84(constB169, 1)) <=> v84(constB168, 1)) | ((~v84(constB169, 2)) <=> v84(constB168, 2)) | ((~v84(constB169, 0)) <=> v84(constB168, 0)))),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22794, 22787])).
% 16.44/11.60 tff(22796,plain,
% 16.44/11.60 ((((~v84(constB169, 1)) <=> v84(constB168, 1)) | ((~v84(constB169, 2)) <=> v84(constB168, 2)) | ((~v84(constB169, 0)) <=> v84(constB168, 0))) | (~((~v84(constB169, 2)) <=> v84(constB168, 2)))),
% 16.44/11.60 inference(tautology,[status(thm)],[])).
% 16.44/11.60 tff(22797,plain,
% 16.44/11.60 (~((~v84(constB169, 2)) <=> v84(constB168, 2))),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22796, 22795])).
% 16.44/11.60 tff(22798,plain,
% 16.44/11.60 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 16.44/11.60 inference(rewrite,[status(thm)],[])).
% 16.44/11.60 tff(22799,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_167')).
% 16.44/11.60 tff(22800,plain,
% 16.44/11.60 (nextState(constB167, constB168)),
% 16.44/11.60 inference(modus_ponens,[status(thm)],[22799, 22798])).
% 16.44/11.60 tff(22801,plain,
% 16.44/11.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB167, constB168)) | (~(((~v123(constB168, 2)) <=> v121(constB167, 2)) | ((~v123(constB168, 1)) <=> v121(constB167, 1)) | ((~v123(constB168, 0)) <=> v121(constB167, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB167, constB168)) | (~(((~v123(constB168, 2)) <=> v121(constB167, 2)) | ((~v123(constB168, 1)) <=> v121(constB167, 1)) | ((~v123(constB168, 0)) <=> v121(constB167, 0)))))),
% 16.44/11.60 inference(rewrite,[status(thm)],[])).
% 16.44/11.60 tff(22802,plain,
% 16.44/11.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB167, constB168)) | (~(((~v123(constB168, 2)) <=> v121(constB167, 2)) | ((~v123(constB168, 1)) <=> v121(constB167, 1)) | ((~v123(constB168, 0)) <=> v121(constB167, 0)))))),
% 16.44/11.60 inference(quant_inst,[status(thm)],[])).
% 16.44/11.60 tff(22803,plain,
% 16.44/11.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB167, constB168)) | (~(((~v123(constB168, 2)) <=> v121(constB167, 2)) | ((~v123(constB168, 1)) <=> v121(constB167, 1)) | ((~v123(constB168, 0)) <=> v121(constB167, 0))))),
% 16.44/11.60 inference(modus_ponens,[status(thm)],[22802, 22801])).
% 16.44/11.60 tff(22804,plain,
% 16.44/11.60 (~(((~v123(constB168, 2)) <=> v121(constB167, 2)) | ((~v123(constB168, 1)) <=> v121(constB167, 1)) | ((~v123(constB168, 0)) <=> v121(constB167, 0)))),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22803, 22800, 842])).
% 16.44/11.60 tff(22805,plain,
% 16.44/11.60 ((((~v123(constB168, 2)) <=> v121(constB167, 2)) | ((~v123(constB168, 1)) <=> v121(constB167, 1)) | ((~v123(constB168, 0)) <=> v121(constB167, 0))) | (~((~v123(constB168, 2)) <=> v121(constB167, 2)))),
% 16.44/11.60 inference(tautology,[status(thm)],[])).
% 16.44/11.60 tff(22806,plain,
% 16.44/11.60 (~((~v123(constB168, 2)) <=> v121(constB167, 2))),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22805, 22804])).
% 16.44/11.60 tff(22807,plain,
% 16.44/11.60 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB167) <=> v26(constB167))),
% 16.44/11.60 inference(quant_inst,[status(thm)],[])).
% 16.44/11.60 tff(22808,plain,
% 16.44/11.60 (v105(constB167) <=> v26(constB167)),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22807, 861])).
% 16.44/11.60 tff(22809,plain,
% 16.44/11.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB167))),
% 16.44/11.60 inference(quant_inst,[status(thm)],[])).
% 16.44/11.60 tff(22810,plain,
% 16.44/11.60 (~v26(constB167)),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22809, 873])).
% 16.44/11.60 tff(22811,plain,
% 16.44/11.60 ((~(v105(constB167) <=> v26(constB167))) | (~v105(constB167)) | v26(constB167)),
% 16.44/11.60 inference(tautology,[status(thm)],[])).
% 16.44/11.60 tff(22812,plain,
% 16.44/11.60 ((~(v105(constB167) <=> v26(constB167))) | (~v105(constB167))),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22811, 22810])).
% 16.44/11.60 tff(22813,plain,
% 16.44/11.60 (~v105(constB167)),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22812, 22808])).
% 16.44/11.60 tff(22814,plain,
% 16.44/11.60 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB167) | (~(((~v121(constB167, 2)) <=> v124(constB167, 2)) | ((~v121(constB167, 0)) <=> v124(constB167, 0)) | ((~v121(constB167, 1)) <=> v124(constB167, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB167) | (~(((~v121(constB167, 2)) <=> v124(constB167, 2)) | ((~v121(constB167, 0)) <=> v124(constB167, 0)) | ((~v121(constB167, 1)) <=> v124(constB167, 1)))))),
% 16.44/11.60 inference(rewrite,[status(thm)],[])).
% 16.44/11.60 tff(22815,plain,
% 16.44/11.60 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB167) | (~(((~v121(constB167, 2)) <=> v124(constB167, 2)) | ((~v121(constB167, 0)) <=> v124(constB167, 0)) | ((~v121(constB167, 1)) <=> v124(constB167, 1)))))),
% 16.44/11.60 inference(quant_inst,[status(thm)],[])).
% 16.44/11.60 tff(22816,plain,
% 16.44/11.60 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB167) | (~(((~v121(constB167, 2)) <=> v124(constB167, 2)) | ((~v121(constB167, 0)) <=> v124(constB167, 0)) | ((~v121(constB167, 1)) <=> v124(constB167, 1))))),
% 16.44/11.60 inference(modus_ponens,[status(thm)],[22815, 22814])).
% 16.44/11.60 tff(22817,plain,
% 16.44/11.60 (v105(constB167) | (~(((~v121(constB167, 2)) <=> v124(constB167, 2)) | ((~v121(constB167, 0)) <=> v124(constB167, 0)) | ((~v121(constB167, 1)) <=> v124(constB167, 1))))),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22816, 891])).
% 16.44/11.60 tff(22818,plain,
% 16.44/11.60 (~(((~v121(constB167, 2)) <=> v124(constB167, 2)) | ((~v121(constB167, 0)) <=> v124(constB167, 0)) | ((~v121(constB167, 1)) <=> v124(constB167, 1)))),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22817, 22813])).
% 16.44/11.60 tff(22819,plain,
% 16.44/11.60 ((((~v121(constB167, 2)) <=> v124(constB167, 2)) | ((~v121(constB167, 0)) <=> v124(constB167, 0)) | ((~v121(constB167, 1)) <=> v124(constB167, 1))) | (~((~v121(constB167, 2)) <=> v124(constB167, 2)))),
% 16.44/11.60 inference(tautology,[status(thm)],[])).
% 16.44/11.60 tff(22820,plain,
% 16.44/11.60 (~((~v121(constB167, 2)) <=> v124(constB167, 2))),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22819, 22818])).
% 16.44/11.60 tff(22821,plain,
% 16.44/11.60 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB167) <=> (~(v84(constB167, 1) | v84(constB167, 2) | (~v84(constB167, 0)))))),
% 16.44/11.60 inference(quant_inst,[status(thm)],[])).
% 16.44/11.60 tff(22822,plain,
% 16.44/11.60 (v114(constB167) <=> (~(v84(constB167, 1) | v84(constB167, 2) | (~v84(constB167, 0))))),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22821, 1064])).
% 16.44/11.60 tff(22823,plain,
% 16.44/11.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB166, constB167)) | (v94(constB167) <=> (~((~v95(constB167)) | (~v104(constB167))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB166, constB167)) | (v94(constB167) <=> (~((~v95(constB167)) | (~v104(constB167))))))),
% 16.44/11.60 inference(rewrite,[status(thm)],[])).
% 16.44/11.60 tff(22824,plain,
% 16.44/11.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB166, constB167)) | (v94(constB167) <=> (~((~v95(constB167)) | (~v104(constB167))))))),
% 16.44/11.60 inference(quant_inst,[status(thm)],[])).
% 16.44/11.60 tff(22825,plain,
% 16.44/11.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB166, constB167)) | (v94(constB167) <=> (~((~v95(constB167)) | (~v104(constB167)))))),
% 16.44/11.60 inference(modus_ponens,[status(thm)],[22824, 22823])).
% 16.44/11.60 tff(22826,plain,
% 16.44/11.60 (v94(constB167) <=> (~((~v95(constB167)) | (~v104(constB167))))),
% 16.44/11.60 inference(unit_resolution,[status(thm)],[22825, 14255, 770])).
% 16.44/11.61 tff(22827,plain,
% 16.44/11.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167))))))),
% 16.44/11.61 inference(rewrite,[status(thm)],[])).
% 16.44/11.61 tff(22828,plain,
% 16.44/11.61 (((~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v96(constB167)) | (~v1(constB167)))))) <=> ((~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167))))))),
% 16.44/11.61 inference(rewrite,[status(thm)],[])).
% 16.44/11.61 tff(22829,plain,
% 16.44/11.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v96(constB167)) | (~v1(constB167))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167)))))))),
% 16.44/11.61 inference(monotonicity,[status(thm)],[22828])).
% 16.44/11.61 tff(22830,plain,
% 16.44/11.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v96(constB167)) | (~v1(constB167))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167))))))),
% 16.44/11.61 inference(transitivity,[status(thm)],[22829, 22827])).
% 16.44/11.61 tff(22831,plain,
% 16.44/11.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v96(constB167)) | (~v1(constB167))))))),
% 16.44/11.61 inference(quant_inst,[status(thm)],[])).
% 16.44/11.61 tff(22832,plain,
% 16.44/11.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167)))))),
% 16.44/11.61 inference(modus_ponens,[status(thm)],[22831, 22830])).
% 16.44/11.61 tff(22833,plain,
% 16.44/11.61 (v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167))))),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22832, 14255, 790])).
% 16.44/11.61 tff(22834,plain,
% 16.44/11.61 ((~v1(constB167)) <=> (~v1(constB167))),
% 16.44/11.61 inference(rewrite,[status(thm)],[])).
% 16.44/11.61 tff(22835,axiom,(~v1(constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_167')).
% 16.44/11.61 tff(22836,plain,
% 16.44/11.61 (~v1(constB167)),
% 16.44/11.61 inference(modus_ponens,[status(thm)],[22835, 22834])).
% 16.44/11.61 tff(22837,plain,
% 16.44/11.61 (((~v1(constB167)) | (~v96(constB167))) | v1(constB167)),
% 16.44/11.61 inference(tautology,[status(thm)],[])).
% 16.44/11.61 tff(22838,plain,
% 16.44/11.61 ((~v1(constB167)) | (~v96(constB167))),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22837, 22836])).
% 16.44/11.61 tff(22839,plain,
% 16.44/11.61 ((~(v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167)))))) | (~v95(constB167)) | (~((~v1(constB167)) | (~v96(constB167))))),
% 16.44/11.61 inference(tautology,[status(thm)],[])).
% 16.44/11.61 tff(22840,plain,
% 16.44/11.61 ((~(v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167)))))) | (~v95(constB167))),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22839, 22838])).
% 16.44/11.61 tff(22841,plain,
% 16.44/11.61 (~v95(constB167)),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22840, 22833])).
% 16.44/11.61 tff(22842,plain,
% 16.44/11.61 (((~v95(constB167)) | (~v104(constB167))) | v95(constB167)),
% 16.44/11.61 inference(tautology,[status(thm)],[])).
% 16.44/11.61 tff(22843,plain,
% 16.44/11.61 ((~v95(constB167)) | (~v104(constB167))),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22842, 22841])).
% 16.44/11.61 tff(22844,plain,
% 16.44/11.61 ((~(v94(constB167) <=> (~((~v95(constB167)) | (~v104(constB167)))))) | (~v94(constB167)) | (~((~v95(constB167)) | (~v104(constB167))))),
% 16.44/11.61 inference(tautology,[status(thm)],[])).
% 16.44/11.61 tff(22845,plain,
% 16.44/11.61 (~v94(constB167)),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22844, 22843, 22826])).
% 16.44/11.61 tff(22846,plain,
% 16.44/11.61 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB167) | (~nextState(constB166, constB167)) | (~(((~v84(constB167, 1)) <=> v84(constB166, 1)) | ((~v84(constB167, 2)) <=> v84(constB166, 2)) | ((~v84(constB167, 0)) <=> v84(constB166, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB167) | (~nextState(constB166, constB167)) | (~(((~v84(constB167, 1)) <=> v84(constB166, 1)) | ((~v84(constB167, 2)) <=> v84(constB166, 2)) | ((~v84(constB167, 0)) <=> v84(constB166, 0)))))),
% 16.44/11.61 inference(rewrite,[status(thm)],[])).
% 16.44/11.61 tff(22847,plain,
% 16.44/11.61 ((v94(constB167) | (~nextState(constB166, constB167)) | (~(((~v84(constB167, 2)) <=> v84(constB166, 2)) | ((~v84(constB167, 1)) <=> v84(constB166, 1)) | ((~v84(constB167, 0)) <=> v84(constB166, 0))))) <=> (v94(constB167) | (~nextState(constB166, constB167)) | (~(((~v84(constB167, 1)) <=> v84(constB166, 1)) | ((~v84(constB167, 2)) <=> v84(constB166, 2)) | ((~v84(constB167, 0)) <=> v84(constB166, 0)))))),
% 16.44/11.61 inference(rewrite,[status(thm)],[])).
% 16.44/11.61 tff(22848,plain,
% 16.44/11.61 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB167) | (~nextState(constB166, constB167)) | (~(((~v84(constB167, 2)) <=> v84(constB166, 2)) | ((~v84(constB167, 1)) <=> v84(constB166, 1)) | ((~v84(constB167, 0)) <=> v84(constB166, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB167) | (~nextState(constB166, constB167)) | (~(((~v84(constB167, 1)) <=> v84(constB166, 1)) | ((~v84(constB167, 2)) <=> v84(constB166, 2)) | ((~v84(constB167, 0)) <=> v84(constB166, 0))))))),
% 16.44/11.61 inference(monotonicity,[status(thm)],[22847])).
% 16.44/11.61 tff(22849,plain,
% 16.44/11.61 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB167) | (~nextState(constB166, constB167)) | (~(((~v84(constB167, 2)) <=> v84(constB166, 2)) | ((~v84(constB167, 1)) <=> v84(constB166, 1)) | ((~v84(constB167, 0)) <=> v84(constB166, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB167) | (~nextState(constB166, constB167)) | (~(((~v84(constB167, 1)) <=> v84(constB166, 1)) | ((~v84(constB167, 2)) <=> v84(constB166, 2)) | ((~v84(constB167, 0)) <=> v84(constB166, 0)))))),
% 16.44/11.61 inference(transitivity,[status(thm)],[22848, 22846])).
% 16.44/11.61 tff(22850,plain,
% 16.44/11.61 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB167) | (~nextState(constB166, constB167)) | (~(((~v84(constB167, 2)) <=> v84(constB166, 2)) | ((~v84(constB167, 1)) <=> v84(constB166, 1)) | ((~v84(constB167, 0)) <=> v84(constB166, 0)))))),
% 16.44/11.61 inference(quant_inst,[status(thm)],[])).
% 16.44/11.61 tff(22851,plain,
% 16.44/11.61 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB167) | (~nextState(constB166, constB167)) | (~(((~v84(constB167, 1)) <=> v84(constB166, 1)) | ((~v84(constB167, 2)) <=> v84(constB166, 2)) | ((~v84(constB167, 0)) <=> v84(constB166, 0))))),
% 16.44/11.61 inference(modus_ponens,[status(thm)],[22850, 22849])).
% 16.44/11.61 tff(22852,plain,
% 16.44/11.61 (v94(constB167) | (~(((~v84(constB167, 1)) <=> v84(constB166, 1)) | ((~v84(constB167, 2)) <=> v84(constB166, 2)) | ((~v84(constB167, 0)) <=> v84(constB166, 0))))),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22851, 14255, 819])).
% 16.44/11.61 tff(22853,plain,
% 16.44/11.61 (~(((~v84(constB167, 1)) <=> v84(constB166, 1)) | ((~v84(constB167, 2)) <=> v84(constB166, 2)) | ((~v84(constB167, 0)) <=> v84(constB166, 0)))),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22852, 22845])).
% 16.44/11.61 tff(22854,plain,
% 16.44/11.61 ((((~v84(constB167, 1)) <=> v84(constB166, 1)) | ((~v84(constB167, 2)) <=> v84(constB166, 2)) | ((~v84(constB167, 0)) <=> v84(constB166, 0))) | (~((~v84(constB167, 2)) <=> v84(constB166, 2)))),
% 16.44/11.61 inference(tautology,[status(thm)],[])).
% 16.44/11.61 tff(22855,plain,
% 16.44/11.61 (~((~v84(constB167, 2)) <=> v84(constB166, 2))),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22854, 22853])).
% 16.44/11.61 tff(22856,plain,
% 16.44/11.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB165, constB166)) | (~(((~v123(constB166, 2)) <=> v121(constB165, 2)) | ((~v123(constB166, 1)) <=> v121(constB165, 1)) | ((~v123(constB166, 0)) <=> v121(constB165, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB165, constB166)) | (~(((~v123(constB166, 2)) <=> v121(constB165, 2)) | ((~v123(constB166, 1)) <=> v121(constB165, 1)) | ((~v123(constB166, 0)) <=> v121(constB165, 0)))))),
% 16.44/11.61 inference(rewrite,[status(thm)],[])).
% 16.44/11.61 tff(22857,plain,
% 16.44/11.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB165, constB166)) | (~(((~v123(constB166, 2)) <=> v121(constB165, 2)) | ((~v123(constB166, 1)) <=> v121(constB165, 1)) | ((~v123(constB166, 0)) <=> v121(constB165, 0)))))),
% 16.44/11.61 inference(quant_inst,[status(thm)],[])).
% 16.44/11.61 tff(22858,plain,
% 16.44/11.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB165, constB166)) | (~(((~v123(constB166, 2)) <=> v121(constB165, 2)) | ((~v123(constB166, 1)) <=> v121(constB165, 1)) | ((~v123(constB166, 0)) <=> v121(constB165, 0))))),
% 16.44/11.61 inference(modus_ponens,[status(thm)],[22857, 22856])).
% 16.44/11.61 tff(22859,plain,
% 16.44/11.61 (~(((~v123(constB166, 2)) <=> v121(constB165, 2)) | ((~v123(constB166, 1)) <=> v121(constB165, 1)) | ((~v123(constB166, 0)) <=> v121(constB165, 0)))),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22858, 14311, 842])).
% 16.44/11.61 tff(22860,plain,
% 16.44/11.61 ((((~v123(constB166, 2)) <=> v121(constB165, 2)) | ((~v123(constB166, 1)) <=> v121(constB165, 1)) | ((~v123(constB166, 0)) <=> v121(constB165, 0))) | (~((~v123(constB166, 2)) <=> v121(constB165, 2)))),
% 16.44/11.61 inference(tautology,[status(thm)],[])).
% 16.44/11.61 tff(22861,plain,
% 16.44/11.61 (~((~v123(constB166, 2)) <=> v121(constB165, 2))),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22860, 22859])).
% 16.44/11.61 tff(22862,plain,
% 16.44/11.61 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB165) <=> v26(constB165))),
% 16.44/11.61 inference(quant_inst,[status(thm)],[])).
% 16.44/11.61 tff(22863,plain,
% 16.44/11.61 (v105(constB165) <=> v26(constB165)),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22862, 861])).
% 16.44/11.61 tff(22864,plain,
% 16.44/11.61 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB165))),
% 16.44/11.61 inference(quant_inst,[status(thm)],[])).
% 16.44/11.61 tff(22865,plain,
% 16.44/11.61 (~v26(constB165)),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22864, 873])).
% 16.44/11.61 tff(22866,plain,
% 16.44/11.61 ((~(v105(constB165) <=> v26(constB165))) | (~v105(constB165)) | v26(constB165)),
% 16.44/11.61 inference(tautology,[status(thm)],[])).
% 16.44/11.61 tff(22867,plain,
% 16.44/11.61 ((~(v105(constB165) <=> v26(constB165))) | (~v105(constB165))),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22866, 22865])).
% 16.44/11.61 tff(22868,plain,
% 16.44/11.61 (~v105(constB165)),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22867, 22863])).
% 16.44/11.61 tff(22869,plain,
% 16.44/11.61 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB165) | (~(((~v121(constB165, 2)) <=> v124(constB165, 2)) | ((~v121(constB165, 0)) <=> v124(constB165, 0)) | ((~v121(constB165, 1)) <=> v124(constB165, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB165) | (~(((~v121(constB165, 2)) <=> v124(constB165, 2)) | ((~v121(constB165, 0)) <=> v124(constB165, 0)) | ((~v121(constB165, 1)) <=> v124(constB165, 1)))))),
% 16.44/11.61 inference(rewrite,[status(thm)],[])).
% 16.44/11.61 tff(22870,plain,
% 16.44/11.61 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB165) | (~(((~v121(constB165, 2)) <=> v124(constB165, 2)) | ((~v121(constB165, 0)) <=> v124(constB165, 0)) | ((~v121(constB165, 1)) <=> v124(constB165, 1)))))),
% 16.44/11.61 inference(quant_inst,[status(thm)],[])).
% 16.44/11.61 tff(22871,plain,
% 16.44/11.61 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB165) | (~(((~v121(constB165, 2)) <=> v124(constB165, 2)) | ((~v121(constB165, 0)) <=> v124(constB165, 0)) | ((~v121(constB165, 1)) <=> v124(constB165, 1))))),
% 16.44/11.61 inference(modus_ponens,[status(thm)],[22870, 22869])).
% 16.44/11.61 tff(22872,plain,
% 16.44/11.61 (v105(constB165) | (~(((~v121(constB165, 2)) <=> v124(constB165, 2)) | ((~v121(constB165, 0)) <=> v124(constB165, 0)) | ((~v121(constB165, 1)) <=> v124(constB165, 1))))),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22871, 891])).
% 16.44/11.61 tff(22873,plain,
% 16.44/11.61 (~(((~v121(constB165, 2)) <=> v124(constB165, 2)) | ((~v121(constB165, 0)) <=> v124(constB165, 0)) | ((~v121(constB165, 1)) <=> v124(constB165, 1)))),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22872, 22868])).
% 16.44/11.61 tff(22874,plain,
% 16.44/11.61 ((((~v121(constB165, 2)) <=> v124(constB165, 2)) | ((~v121(constB165, 0)) <=> v124(constB165, 0)) | ((~v121(constB165, 1)) <=> v124(constB165, 1))) | (~((~v121(constB165, 2)) <=> v124(constB165, 2)))),
% 16.44/11.61 inference(tautology,[status(thm)],[])).
% 16.44/11.61 tff(22875,plain,
% 16.44/11.61 (~((~v121(constB165, 2)) <=> v124(constB165, 2))),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22874, 22873])).
% 16.44/11.61 tff(22876,plain,
% 16.44/11.61 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB165) <=> (~(v84(constB165, 0) | v84(constB165, 1) | v84(constB165, 2))))),
% 16.44/11.61 inference(quant_inst,[status(thm)],[])).
% 16.44/11.61 tff(22877,plain,
% 16.44/11.61 (v113(constB165) <=> (~(v84(constB165, 0) | v84(constB165, 1) | v84(constB165, 2)))),
% 16.44/11.61 inference(unit_resolution,[status(thm)],[22876, 1466])).
% 16.44/11.61 tff(22878,plain,
% 16.44/11.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB164, constB165)) | (v94(constB165) <=> (~((~v95(constB165)) | (~v104(constB165))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB164, constB165)) | (v94(constB165) <=> (~((~v95(constB165)) | (~v104(constB165))))))),
% 16.44/11.62 inference(rewrite,[status(thm)],[])).
% 16.44/11.62 tff(22879,plain,
% 16.44/11.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB164, constB165)) | (v94(constB165) <=> (~((~v95(constB165)) | (~v104(constB165))))))),
% 16.44/11.62 inference(quant_inst,[status(thm)],[])).
% 16.44/11.62 tff(22880,plain,
% 16.44/11.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB164, constB165)) | (v94(constB165) <=> (~((~v95(constB165)) | (~v104(constB165)))))),
% 16.44/11.62 inference(modus_ponens,[status(thm)],[22879, 22878])).
% 16.44/11.62 tff(22881,plain,
% 16.44/11.62 (v94(constB165) <=> (~((~v95(constB165)) | (~v104(constB165))))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22880, 14405, 770])).
% 16.44/11.62 tff(22882,plain,
% 16.44/11.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165))))))),
% 16.44/11.62 inference(rewrite,[status(thm)],[])).
% 16.44/11.62 tff(22883,plain,
% 16.44/11.62 (((~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v96(constB165)) | (~v1(constB165)))))) <=> ((~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165))))))),
% 16.44/11.62 inference(rewrite,[status(thm)],[])).
% 16.44/11.62 tff(22884,plain,
% 16.44/11.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v96(constB165)) | (~v1(constB165))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165)))))))),
% 16.44/11.62 inference(monotonicity,[status(thm)],[22883])).
% 16.44/11.62 tff(22885,plain,
% 16.44/11.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v96(constB165)) | (~v1(constB165))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165))))))),
% 16.44/11.62 inference(transitivity,[status(thm)],[22884, 22882])).
% 16.44/11.62 tff(22886,plain,
% 16.44/11.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v96(constB165)) | (~v1(constB165))))))),
% 16.44/11.62 inference(quant_inst,[status(thm)],[])).
% 16.44/11.62 tff(22887,plain,
% 16.44/11.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165)))))),
% 16.44/11.62 inference(modus_ponens,[status(thm)],[22886, 22885])).
% 16.44/11.62 tff(22888,plain,
% 16.44/11.62 (v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165))))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22887, 14405, 790])).
% 16.44/11.62 tff(22889,plain,
% 16.44/11.62 (((~v1(constB165)) | (~v96(constB165))) | v1(constB165)),
% 16.44/11.62 inference(tautology,[status(thm)],[])).
% 16.44/11.62 tff(22890,plain,
% 16.44/11.62 ((~v1(constB165)) | (~v96(constB165))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22889, 14375])).
% 16.44/11.62 tff(22891,plain,
% 16.44/11.62 ((~(v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165)))))) | (~v95(constB165)) | (~((~v1(constB165)) | (~v96(constB165))))),
% 16.44/11.62 inference(tautology,[status(thm)],[])).
% 16.44/11.62 tff(22892,plain,
% 16.44/11.62 ((~(v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165)))))) | (~v95(constB165))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22891, 22890])).
% 16.44/11.62 tff(22893,plain,
% 16.44/11.62 (~v95(constB165)),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22892, 22888])).
% 16.44/11.62 tff(22894,plain,
% 16.44/11.62 (((~v95(constB165)) | (~v104(constB165))) | v95(constB165)),
% 16.44/11.62 inference(tautology,[status(thm)],[])).
% 16.44/11.62 tff(22895,plain,
% 16.44/11.62 ((~v95(constB165)) | (~v104(constB165))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22894, 22893])).
% 16.44/11.62 tff(22896,plain,
% 16.44/11.62 ((~(v94(constB165) <=> (~((~v95(constB165)) | (~v104(constB165)))))) | (~v94(constB165)) | (~((~v95(constB165)) | (~v104(constB165))))),
% 16.44/11.62 inference(tautology,[status(thm)],[])).
% 16.44/11.62 tff(22897,plain,
% 16.44/11.62 (~v94(constB165)),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22896, 22895, 22881])).
% 16.44/11.62 tff(22898,plain,
% 16.44/11.62 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB165) | (~nextState(constB164, constB165)) | (~(((~v84(constB165, 1)) <=> v84(constB164, 1)) | ((~v84(constB165, 2)) <=> v84(constB164, 2)) | ((~v84(constB165, 0)) <=> v84(constB164, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB165) | (~nextState(constB164, constB165)) | (~(((~v84(constB165, 1)) <=> v84(constB164, 1)) | ((~v84(constB165, 2)) <=> v84(constB164, 2)) | ((~v84(constB165, 0)) <=> v84(constB164, 0)))))),
% 16.44/11.62 inference(rewrite,[status(thm)],[])).
% 16.44/11.62 tff(22899,plain,
% 16.44/11.62 ((v94(constB165) | (~nextState(constB164, constB165)) | (~(((~v84(constB165, 2)) <=> v84(constB164, 2)) | ((~v84(constB165, 1)) <=> v84(constB164, 1)) | ((~v84(constB165, 0)) <=> v84(constB164, 0))))) <=> (v94(constB165) | (~nextState(constB164, constB165)) | (~(((~v84(constB165, 1)) <=> v84(constB164, 1)) | ((~v84(constB165, 2)) <=> v84(constB164, 2)) | ((~v84(constB165, 0)) <=> v84(constB164, 0)))))),
% 16.44/11.62 inference(rewrite,[status(thm)],[])).
% 16.44/11.62 tff(22900,plain,
% 16.44/11.62 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB165) | (~nextState(constB164, constB165)) | (~(((~v84(constB165, 2)) <=> v84(constB164, 2)) | ((~v84(constB165, 1)) <=> v84(constB164, 1)) | ((~v84(constB165, 0)) <=> v84(constB164, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB165) | (~nextState(constB164, constB165)) | (~(((~v84(constB165, 1)) <=> v84(constB164, 1)) | ((~v84(constB165, 2)) <=> v84(constB164, 2)) | ((~v84(constB165, 0)) <=> v84(constB164, 0))))))),
% 16.44/11.62 inference(monotonicity,[status(thm)],[22899])).
% 16.44/11.62 tff(22901,plain,
% 16.44/11.62 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB165) | (~nextState(constB164, constB165)) | (~(((~v84(constB165, 2)) <=> v84(constB164, 2)) | ((~v84(constB165, 1)) <=> v84(constB164, 1)) | ((~v84(constB165, 0)) <=> v84(constB164, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB165) | (~nextState(constB164, constB165)) | (~(((~v84(constB165, 1)) <=> v84(constB164, 1)) | ((~v84(constB165, 2)) <=> v84(constB164, 2)) | ((~v84(constB165, 0)) <=> v84(constB164, 0)))))),
% 16.44/11.62 inference(transitivity,[status(thm)],[22900, 22898])).
% 16.44/11.62 tff(22902,plain,
% 16.44/11.62 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB165) | (~nextState(constB164, constB165)) | (~(((~v84(constB165, 2)) <=> v84(constB164, 2)) | ((~v84(constB165, 1)) <=> v84(constB164, 1)) | ((~v84(constB165, 0)) <=> v84(constB164, 0)))))),
% 16.44/11.62 inference(quant_inst,[status(thm)],[])).
% 16.44/11.62 tff(22903,plain,
% 16.44/11.62 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB165) | (~nextState(constB164, constB165)) | (~(((~v84(constB165, 1)) <=> v84(constB164, 1)) | ((~v84(constB165, 2)) <=> v84(constB164, 2)) | ((~v84(constB165, 0)) <=> v84(constB164, 0))))),
% 16.44/11.62 inference(modus_ponens,[status(thm)],[22902, 22901])).
% 16.44/11.62 tff(22904,plain,
% 16.44/11.62 (v94(constB165) | (~(((~v84(constB165, 1)) <=> v84(constB164, 1)) | ((~v84(constB165, 2)) <=> v84(constB164, 2)) | ((~v84(constB165, 0)) <=> v84(constB164, 0))))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22903, 14405, 819])).
% 16.44/11.62 tff(22905,plain,
% 16.44/11.62 (~(((~v84(constB165, 1)) <=> v84(constB164, 1)) | ((~v84(constB165, 2)) <=> v84(constB164, 2)) | ((~v84(constB165, 0)) <=> v84(constB164, 0)))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22904, 22897])).
% 16.44/11.62 tff(22906,plain,
% 16.44/11.62 ((((~v84(constB165, 1)) <=> v84(constB164, 1)) | ((~v84(constB165, 2)) <=> v84(constB164, 2)) | ((~v84(constB165, 0)) <=> v84(constB164, 0))) | (~((~v84(constB165, 2)) <=> v84(constB164, 2)))),
% 16.44/11.62 inference(tautology,[status(thm)],[])).
% 16.44/11.62 tff(22907,plain,
% 16.44/11.62 (~((~v84(constB165, 2)) <=> v84(constB164, 2))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22906, 22905])).
% 16.44/11.62 tff(22908,plain,
% 16.44/11.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB163, constB164)) | (~(((~v123(constB164, 2)) <=> v121(constB163, 2)) | ((~v123(constB164, 1)) <=> v121(constB163, 1)) | ((~v123(constB164, 0)) <=> v121(constB163, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB163, constB164)) | (~(((~v123(constB164, 2)) <=> v121(constB163, 2)) | ((~v123(constB164, 1)) <=> v121(constB163, 1)) | ((~v123(constB164, 0)) <=> v121(constB163, 0)))))),
% 16.44/11.62 inference(rewrite,[status(thm)],[])).
% 16.44/11.62 tff(22909,plain,
% 16.44/11.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB163, constB164)) | (~(((~v123(constB164, 2)) <=> v121(constB163, 2)) | ((~v123(constB164, 1)) <=> v121(constB163, 1)) | ((~v123(constB164, 0)) <=> v121(constB163, 0)))))),
% 16.44/11.62 inference(quant_inst,[status(thm)],[])).
% 16.44/11.62 tff(22910,plain,
% 16.44/11.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB163, constB164)) | (~(((~v123(constB164, 2)) <=> v121(constB163, 2)) | ((~v123(constB164, 1)) <=> v121(constB163, 1)) | ((~v123(constB164, 0)) <=> v121(constB163, 0))))),
% 16.44/11.62 inference(modus_ponens,[status(thm)],[22909, 22908])).
% 16.44/11.62 tff(22911,plain,
% 16.44/11.62 (~(((~v123(constB164, 2)) <=> v121(constB163, 2)) | ((~v123(constB164, 1)) <=> v121(constB163, 1)) | ((~v123(constB164, 0)) <=> v121(constB163, 0)))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22910, 14461, 842])).
% 16.44/11.62 tff(22912,plain,
% 16.44/11.62 ((((~v123(constB164, 2)) <=> v121(constB163, 2)) | ((~v123(constB164, 1)) <=> v121(constB163, 1)) | ((~v123(constB164, 0)) <=> v121(constB163, 0))) | (~((~v123(constB164, 2)) <=> v121(constB163, 2)))),
% 16.44/11.62 inference(tautology,[status(thm)],[])).
% 16.44/11.62 tff(22913,plain,
% 16.44/11.62 (~((~v123(constB164, 2)) <=> v121(constB163, 2))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22912, 22911])).
% 16.44/11.62 tff(22914,plain,
% 16.44/11.62 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB163) <=> v26(constB163))),
% 16.44/11.62 inference(quant_inst,[status(thm)],[])).
% 16.44/11.62 tff(22915,plain,
% 16.44/11.62 (v105(constB163) <=> v26(constB163)),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22914, 861])).
% 16.44/11.62 tff(22916,plain,
% 16.44/11.62 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB163))),
% 16.44/11.62 inference(quant_inst,[status(thm)],[])).
% 16.44/11.62 tff(22917,plain,
% 16.44/11.62 (~v26(constB163)),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22916, 873])).
% 16.44/11.62 tff(22918,plain,
% 16.44/11.62 ((~(v105(constB163) <=> v26(constB163))) | (~v105(constB163)) | v26(constB163)),
% 16.44/11.62 inference(tautology,[status(thm)],[])).
% 16.44/11.62 tff(22919,plain,
% 16.44/11.62 ((~(v105(constB163) <=> v26(constB163))) | (~v105(constB163))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22918, 22917])).
% 16.44/11.62 tff(22920,plain,
% 16.44/11.62 (~v105(constB163)),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22919, 22915])).
% 16.44/11.62 tff(22921,plain,
% 16.44/11.62 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB163) | (~(((~v121(constB163, 2)) <=> v124(constB163, 2)) | ((~v121(constB163, 0)) <=> v124(constB163, 0)) | ((~v121(constB163, 1)) <=> v124(constB163, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB163) | (~(((~v121(constB163, 2)) <=> v124(constB163, 2)) | ((~v121(constB163, 0)) <=> v124(constB163, 0)) | ((~v121(constB163, 1)) <=> v124(constB163, 1)))))),
% 16.44/11.62 inference(rewrite,[status(thm)],[])).
% 16.44/11.62 tff(22922,plain,
% 16.44/11.62 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB163) | (~(((~v121(constB163, 2)) <=> v124(constB163, 2)) | ((~v121(constB163, 0)) <=> v124(constB163, 0)) | ((~v121(constB163, 1)) <=> v124(constB163, 1)))))),
% 16.44/11.62 inference(quant_inst,[status(thm)],[])).
% 16.44/11.62 tff(22923,plain,
% 16.44/11.62 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB163) | (~(((~v121(constB163, 2)) <=> v124(constB163, 2)) | ((~v121(constB163, 0)) <=> v124(constB163, 0)) | ((~v121(constB163, 1)) <=> v124(constB163, 1))))),
% 16.44/11.62 inference(modus_ponens,[status(thm)],[22922, 22921])).
% 16.44/11.62 tff(22924,plain,
% 16.44/11.62 (v105(constB163) | (~(((~v121(constB163, 2)) <=> v124(constB163, 2)) | ((~v121(constB163, 0)) <=> v124(constB163, 0)) | ((~v121(constB163, 1)) <=> v124(constB163, 1))))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22923, 891])).
% 16.44/11.62 tff(22925,plain,
% 16.44/11.62 (~(((~v121(constB163, 2)) <=> v124(constB163, 2)) | ((~v121(constB163, 0)) <=> v124(constB163, 0)) | ((~v121(constB163, 1)) <=> v124(constB163, 1)))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22924, 22920])).
% 16.44/11.62 tff(22926,plain,
% 16.44/11.62 ((((~v121(constB163, 2)) <=> v124(constB163, 2)) | ((~v121(constB163, 0)) <=> v124(constB163, 0)) | ((~v121(constB163, 1)) <=> v124(constB163, 1))) | (~((~v121(constB163, 2)) <=> v124(constB163, 2)))),
% 16.44/11.62 inference(tautology,[status(thm)],[])).
% 16.44/11.62 tff(22927,plain,
% 16.44/11.62 (~((~v121(constB163, 2)) <=> v124(constB163, 2))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22926, 22925])).
% 16.44/11.62 tff(22928,plain,
% 16.44/11.62 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB163) <=> (~(v84(constB163, 1) | v84(constB163, 0) | (~v84(constB163, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB163) <=> (~(v84(constB163, 1) | v84(constB163, 0) | (~v84(constB163, 2))))))),
% 16.44/11.62 inference(rewrite,[status(thm)],[])).
% 16.44/11.62 tff(22929,plain,
% 16.44/11.62 ((v117(constB163) <=> (~(v84(constB163, 0) | v84(constB163, 1) | (~v84(constB163, 2))))) <=> (v117(constB163) <=> (~(v84(constB163, 1) | v84(constB163, 0) | (~v84(constB163, 2)))))),
% 16.44/11.62 inference(rewrite,[status(thm)],[])).
% 16.44/11.62 tff(22930,plain,
% 16.44/11.62 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB163) <=> (~(v84(constB163, 0) | v84(constB163, 1) | (~v84(constB163, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB163) <=> (~(v84(constB163, 1) | v84(constB163, 0) | (~v84(constB163, 2))))))),
% 16.44/11.62 inference(monotonicity,[status(thm)],[22929])).
% 16.44/11.62 tff(22931,plain,
% 16.44/11.62 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB163) <=> (~(v84(constB163, 0) | v84(constB163, 1) | (~v84(constB163, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB163) <=> (~(v84(constB163, 1) | v84(constB163, 0) | (~v84(constB163, 2))))))),
% 16.44/11.62 inference(transitivity,[status(thm)],[22930, 22928])).
% 16.44/11.62 tff(22932,plain,
% 16.44/11.62 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB163) <=> (~(v84(constB163, 0) | v84(constB163, 1) | (~v84(constB163, 2)))))),
% 16.44/11.62 inference(quant_inst,[status(thm)],[])).
% 16.44/11.62 tff(22933,plain,
% 16.44/11.62 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB163) <=> (~(v84(constB163, 1) | v84(constB163, 0) | (~v84(constB163, 2)))))),
% 16.44/11.62 inference(modus_ponens,[status(thm)],[22932, 22931])).
% 16.44/11.62 tff(22934,plain,
% 16.44/11.62 (v117(constB163) <=> (~(v84(constB163, 1) | v84(constB163, 0) | (~v84(constB163, 2))))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22933, 1199])).
% 16.44/11.62 tff(22935,plain,
% 16.44/11.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB162, constB163)) | (v94(constB163) <=> (~((~v95(constB163)) | (~v104(constB163))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB162, constB163)) | (v94(constB163) <=> (~((~v95(constB163)) | (~v104(constB163))))))),
% 16.44/11.62 inference(rewrite,[status(thm)],[])).
% 16.44/11.62 tff(22936,plain,
% 16.44/11.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB162, constB163)) | (v94(constB163) <=> (~((~v95(constB163)) | (~v104(constB163))))))),
% 16.44/11.62 inference(quant_inst,[status(thm)],[])).
% 16.44/11.62 tff(22937,plain,
% 16.44/11.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB162, constB163)) | (v94(constB163) <=> (~((~v95(constB163)) | (~v104(constB163)))))),
% 16.44/11.62 inference(modus_ponens,[status(thm)],[22936, 22935])).
% 16.44/11.62 tff(22938,plain,
% 16.44/11.62 (v94(constB163) <=> (~((~v95(constB163)) | (~v104(constB163))))),
% 16.44/11.62 inference(unit_resolution,[status(thm)],[22937, 14555, 770])).
% 16.44/11.62 tff(22939,plain,
% 16.44/11.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163))))))),
% 16.44/11.63 inference(rewrite,[status(thm)],[])).
% 16.44/11.63 tff(22940,plain,
% 16.44/11.63 (((~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v96(constB163)) | (~v1(constB163)))))) <=> ((~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163))))))),
% 16.44/11.63 inference(rewrite,[status(thm)],[])).
% 16.44/11.63 tff(22941,plain,
% 16.44/11.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v96(constB163)) | (~v1(constB163))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163)))))))),
% 16.44/11.63 inference(monotonicity,[status(thm)],[22940])).
% 16.44/11.63 tff(22942,plain,
% 16.44/11.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v96(constB163)) | (~v1(constB163))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163))))))),
% 16.44/11.63 inference(transitivity,[status(thm)],[22941, 22939])).
% 16.44/11.63 tff(22943,plain,
% 16.44/11.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v96(constB163)) | (~v1(constB163))))))),
% 16.44/11.63 inference(quant_inst,[status(thm)],[])).
% 16.44/11.63 tff(22944,plain,
% 16.44/11.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163)))))),
% 16.44/11.63 inference(modus_ponens,[status(thm)],[22943, 22942])).
% 16.44/11.63 tff(22945,plain,
% 16.44/11.63 (v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163))))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22944, 14555, 790])).
% 16.44/11.63 tff(22946,plain,
% 16.44/11.63 (((~v1(constB163)) | (~v96(constB163))) | v1(constB163)),
% 16.44/11.63 inference(tautology,[status(thm)],[])).
% 16.44/11.63 tff(22947,plain,
% 16.44/11.63 ((~v1(constB163)) | (~v96(constB163))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22946, 14525])).
% 16.44/11.63 tff(22948,plain,
% 16.44/11.63 ((~(v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163)))))) | (~v95(constB163)) | (~((~v1(constB163)) | (~v96(constB163))))),
% 16.44/11.63 inference(tautology,[status(thm)],[])).
% 16.44/11.63 tff(22949,plain,
% 16.44/11.63 ((~(v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163)))))) | (~v95(constB163))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22948, 22947])).
% 16.44/11.63 tff(22950,plain,
% 16.44/11.63 (~v95(constB163)),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22949, 22945])).
% 16.44/11.63 tff(22951,plain,
% 16.44/11.63 (((~v95(constB163)) | (~v104(constB163))) | v95(constB163)),
% 16.44/11.63 inference(tautology,[status(thm)],[])).
% 16.44/11.63 tff(22952,plain,
% 16.44/11.63 ((~v95(constB163)) | (~v104(constB163))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22951, 22950])).
% 16.44/11.63 tff(22953,plain,
% 16.44/11.63 ((~(v94(constB163) <=> (~((~v95(constB163)) | (~v104(constB163)))))) | (~v94(constB163)) | (~((~v95(constB163)) | (~v104(constB163))))),
% 16.44/11.63 inference(tautology,[status(thm)],[])).
% 16.44/11.63 tff(22954,plain,
% 16.44/11.63 (~v94(constB163)),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22953, 22952, 22938])).
% 16.44/11.63 tff(22955,plain,
% 16.44/11.63 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB163) | (~nextState(constB162, constB163)) | (~(((~v84(constB163, 1)) <=> v84(constB162, 1)) | ((~v84(constB163, 2)) <=> v84(constB162, 2)) | ((~v84(constB163, 0)) <=> v84(constB162, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB163) | (~nextState(constB162, constB163)) | (~(((~v84(constB163, 1)) <=> v84(constB162, 1)) | ((~v84(constB163, 2)) <=> v84(constB162, 2)) | ((~v84(constB163, 0)) <=> v84(constB162, 0)))))),
% 16.44/11.63 inference(rewrite,[status(thm)],[])).
% 16.44/11.63 tff(22956,plain,
% 16.44/11.63 ((v94(constB163) | (~nextState(constB162, constB163)) | (~(((~v84(constB163, 2)) <=> v84(constB162, 2)) | ((~v84(constB163, 1)) <=> v84(constB162, 1)) | ((~v84(constB163, 0)) <=> v84(constB162, 0))))) <=> (v94(constB163) | (~nextState(constB162, constB163)) | (~(((~v84(constB163, 1)) <=> v84(constB162, 1)) | ((~v84(constB163, 2)) <=> v84(constB162, 2)) | ((~v84(constB163, 0)) <=> v84(constB162, 0)))))),
% 16.44/11.63 inference(rewrite,[status(thm)],[])).
% 16.44/11.63 tff(22957,plain,
% 16.44/11.63 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB163) | (~nextState(constB162, constB163)) | (~(((~v84(constB163, 2)) <=> v84(constB162, 2)) | ((~v84(constB163, 1)) <=> v84(constB162, 1)) | ((~v84(constB163, 0)) <=> v84(constB162, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB163) | (~nextState(constB162, constB163)) | (~(((~v84(constB163, 1)) <=> v84(constB162, 1)) | ((~v84(constB163, 2)) <=> v84(constB162, 2)) | ((~v84(constB163, 0)) <=> v84(constB162, 0))))))),
% 16.44/11.63 inference(monotonicity,[status(thm)],[22956])).
% 16.44/11.63 tff(22958,plain,
% 16.44/11.63 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB163) | (~nextState(constB162, constB163)) | (~(((~v84(constB163, 2)) <=> v84(constB162, 2)) | ((~v84(constB163, 1)) <=> v84(constB162, 1)) | ((~v84(constB163, 0)) <=> v84(constB162, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB163) | (~nextState(constB162, constB163)) | (~(((~v84(constB163, 1)) <=> v84(constB162, 1)) | ((~v84(constB163, 2)) <=> v84(constB162, 2)) | ((~v84(constB163, 0)) <=> v84(constB162, 0)))))),
% 16.44/11.63 inference(transitivity,[status(thm)],[22957, 22955])).
% 16.44/11.63 tff(22959,plain,
% 16.44/11.63 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB163) | (~nextState(constB162, constB163)) | (~(((~v84(constB163, 2)) <=> v84(constB162, 2)) | ((~v84(constB163, 1)) <=> v84(constB162, 1)) | ((~v84(constB163, 0)) <=> v84(constB162, 0)))))),
% 16.44/11.63 inference(quant_inst,[status(thm)],[])).
% 16.44/11.63 tff(22960,plain,
% 16.44/11.63 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB163) | (~nextState(constB162, constB163)) | (~(((~v84(constB163, 1)) <=> v84(constB162, 1)) | ((~v84(constB163, 2)) <=> v84(constB162, 2)) | ((~v84(constB163, 0)) <=> v84(constB162, 0))))),
% 16.44/11.63 inference(modus_ponens,[status(thm)],[22959, 22958])).
% 16.44/11.63 tff(22961,plain,
% 16.44/11.63 (v94(constB163) | (~(((~v84(constB163, 1)) <=> v84(constB162, 1)) | ((~v84(constB163, 2)) <=> v84(constB162, 2)) | ((~v84(constB163, 0)) <=> v84(constB162, 0))))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22960, 14555, 819])).
% 16.44/11.63 tff(22962,plain,
% 16.44/11.63 (~(((~v84(constB163, 1)) <=> v84(constB162, 1)) | ((~v84(constB163, 2)) <=> v84(constB162, 2)) | ((~v84(constB163, 0)) <=> v84(constB162, 0)))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22961, 22954])).
% 16.44/11.63 tff(22963,plain,
% 16.44/11.63 ((((~v84(constB163, 1)) <=> v84(constB162, 1)) | ((~v84(constB163, 2)) <=> v84(constB162, 2)) | ((~v84(constB163, 0)) <=> v84(constB162, 0))) | (~((~v84(constB163, 2)) <=> v84(constB162, 2)))),
% 16.44/11.63 inference(tautology,[status(thm)],[])).
% 16.44/11.63 tff(22964,plain,
% 16.44/11.63 (~((~v84(constB163, 2)) <=> v84(constB162, 2))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22963, 22962])).
% 16.44/11.63 tff(22965,plain,
% 16.44/11.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB161, constB162)) | (~(((~v123(constB162, 2)) <=> v121(constB161, 2)) | ((~v123(constB162, 1)) <=> v121(constB161, 1)) | ((~v123(constB162, 0)) <=> v121(constB161, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB161, constB162)) | (~(((~v123(constB162, 2)) <=> v121(constB161, 2)) | ((~v123(constB162, 1)) <=> v121(constB161, 1)) | ((~v123(constB162, 0)) <=> v121(constB161, 0)))))),
% 16.44/11.63 inference(rewrite,[status(thm)],[])).
% 16.44/11.63 tff(22966,plain,
% 16.44/11.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB161, constB162)) | (~(((~v123(constB162, 2)) <=> v121(constB161, 2)) | ((~v123(constB162, 1)) <=> v121(constB161, 1)) | ((~v123(constB162, 0)) <=> v121(constB161, 0)))))),
% 16.44/11.63 inference(quant_inst,[status(thm)],[])).
% 16.44/11.63 tff(22967,plain,
% 16.44/11.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB161, constB162)) | (~(((~v123(constB162, 2)) <=> v121(constB161, 2)) | ((~v123(constB162, 1)) <=> v121(constB161, 1)) | ((~v123(constB162, 0)) <=> v121(constB161, 0))))),
% 16.44/11.63 inference(modus_ponens,[status(thm)],[22966, 22965])).
% 16.44/11.63 tff(22968,plain,
% 16.44/11.63 (~(((~v123(constB162, 2)) <=> v121(constB161, 2)) | ((~v123(constB162, 1)) <=> v121(constB161, 1)) | ((~v123(constB162, 0)) <=> v121(constB161, 0)))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22967, 14601, 842])).
% 16.44/11.63 tff(22969,plain,
% 16.44/11.63 ((((~v123(constB162, 2)) <=> v121(constB161, 2)) | ((~v123(constB162, 1)) <=> v121(constB161, 1)) | ((~v123(constB162, 0)) <=> v121(constB161, 0))) | (~((~v123(constB162, 2)) <=> v121(constB161, 2)))),
% 16.44/11.63 inference(tautology,[status(thm)],[])).
% 16.44/11.63 tff(22970,plain,
% 16.44/11.63 (~((~v123(constB162, 2)) <=> v121(constB161, 2))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22969, 22968])).
% 16.44/11.63 tff(22971,plain,
% 16.44/11.63 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB161) <=> v26(constB161))),
% 16.44/11.63 inference(quant_inst,[status(thm)],[])).
% 16.44/11.63 tff(22972,plain,
% 16.44/11.63 (v105(constB161) <=> v26(constB161)),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22971, 861])).
% 16.44/11.63 tff(22973,plain,
% 16.44/11.63 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB161))),
% 16.44/11.63 inference(quant_inst,[status(thm)],[])).
% 16.44/11.63 tff(22974,plain,
% 16.44/11.63 (~v26(constB161)),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22973, 873])).
% 16.44/11.63 tff(22975,plain,
% 16.44/11.63 ((~(v105(constB161) <=> v26(constB161))) | (~v105(constB161)) | v26(constB161)),
% 16.44/11.63 inference(tautology,[status(thm)],[])).
% 16.44/11.63 tff(22976,plain,
% 16.44/11.63 ((~(v105(constB161) <=> v26(constB161))) | (~v105(constB161))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22975, 22974])).
% 16.44/11.63 tff(22977,plain,
% 16.44/11.63 (~v105(constB161)),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22976, 22972])).
% 16.44/11.63 tff(22978,plain,
% 16.44/11.63 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB161) | (~(((~v121(constB161, 2)) <=> v124(constB161, 2)) | ((~v121(constB161, 0)) <=> v124(constB161, 0)) | ((~v121(constB161, 1)) <=> v124(constB161, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB161) | (~(((~v121(constB161, 2)) <=> v124(constB161, 2)) | ((~v121(constB161, 0)) <=> v124(constB161, 0)) | ((~v121(constB161, 1)) <=> v124(constB161, 1)))))),
% 16.44/11.63 inference(rewrite,[status(thm)],[])).
% 16.44/11.63 tff(22979,plain,
% 16.44/11.63 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB161) | (~(((~v121(constB161, 2)) <=> v124(constB161, 2)) | ((~v121(constB161, 0)) <=> v124(constB161, 0)) | ((~v121(constB161, 1)) <=> v124(constB161, 1)))))),
% 16.44/11.63 inference(quant_inst,[status(thm)],[])).
% 16.44/11.63 tff(22980,plain,
% 16.44/11.63 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB161) | (~(((~v121(constB161, 2)) <=> v124(constB161, 2)) | ((~v121(constB161, 0)) <=> v124(constB161, 0)) | ((~v121(constB161, 1)) <=> v124(constB161, 1))))),
% 16.44/11.63 inference(modus_ponens,[status(thm)],[22979, 22978])).
% 16.44/11.63 tff(22981,plain,
% 16.44/11.63 (v105(constB161) | (~(((~v121(constB161, 2)) <=> v124(constB161, 2)) | ((~v121(constB161, 0)) <=> v124(constB161, 0)) | ((~v121(constB161, 1)) <=> v124(constB161, 1))))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22980, 891])).
% 16.44/11.63 tff(22982,plain,
% 16.44/11.63 (~(((~v121(constB161, 2)) <=> v124(constB161, 2)) | ((~v121(constB161, 0)) <=> v124(constB161, 0)) | ((~v121(constB161, 1)) <=> v124(constB161, 1)))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22981, 22977])).
% 16.44/11.63 tff(22983,plain,
% 16.44/11.63 ((((~v121(constB161, 2)) <=> v124(constB161, 2)) | ((~v121(constB161, 0)) <=> v124(constB161, 0)) | ((~v121(constB161, 1)) <=> v124(constB161, 1))) | (~((~v121(constB161, 2)) <=> v124(constB161, 2)))),
% 16.44/11.63 inference(tautology,[status(thm)],[])).
% 16.44/11.63 tff(22984,plain,
% 16.44/11.63 (~((~v121(constB161, 2)) <=> v124(constB161, 2))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22983, 22982])).
% 16.44/11.63 tff(22985,plain,
% 16.44/11.63 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB161) <=> (~(v84(constB161, 2) | (~v84(constB161, 1)) | (~v84(constB161, 0)))))),
% 16.44/11.63 inference(quant_inst,[status(thm)],[])).
% 16.44/11.63 tff(22986,plain,
% 16.44/11.63 (v116(constB161) <=> (~(v84(constB161, 2) | (~v84(constB161, 1)) | (~v84(constB161, 0))))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22985, 911])).
% 16.44/11.63 tff(22987,plain,
% 16.44/11.63 ((((~v84(constB161, 1)) <=> v84(constB160, 1)) | ((~v84(constB161, 2)) <=> v84(constB160, 2)) | ((~v84(constB161, 0)) <=> v84(constB160, 0))) | (~((~v84(constB161, 2)) <=> v84(constB160, 2)))),
% 16.44/11.63 inference(tautology,[status(thm)],[])).
% 16.44/11.63 tff(22988,plain,
% 16.44/11.63 (~((~v84(constB161, 2)) <=> v84(constB160, 2))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22987, 14720])).
% 16.44/11.63 tff(22989,plain,
% 16.44/11.63 ((((~v123(constB160, 2)) <=> v121(constB159, 2)) | ((~v123(constB160, 1)) <=> v121(constB159, 1)) | ((~v123(constB160, 0)) <=> v121(constB159, 0))) | (~((~v123(constB160, 2)) <=> v121(constB159, 2)))),
% 16.44/11.63 inference(tautology,[status(thm)],[])).
% 16.44/11.63 tff(22990,plain,
% 16.44/11.63 (~((~v123(constB160, 2)) <=> v121(constB159, 2))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22989, 14729])).
% 16.44/11.63 tff(22991,plain,
% 16.44/11.63 ((((~v121(constB159, 2)) <=> v124(constB159, 2)) | ((~v121(constB159, 0)) <=> v124(constB159, 0)) | ((~v121(constB159, 1)) <=> v124(constB159, 1))) | (~((~v121(constB159, 2)) <=> v124(constB159, 2)))),
% 16.44/11.63 inference(tautology,[status(thm)],[])).
% 16.44/11.63 tff(22992,plain,
% 16.44/11.63 (~((~v121(constB159, 2)) <=> v124(constB159, 2))),
% 16.44/11.63 inference(unit_resolution,[status(thm)],[22991, 14743])).
% 16.44/11.64 tff(22993,plain,
% 16.44/11.64 ((v124(constB159, 2) | (~v124(constB159, 0)) | (~v124(constB159, 1))) | (~v124(constB159, 2))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(22994,plain,
% 16.44/11.64 (~v124(constB159, 2)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[22993, 21203])).
% 16.44/11.64 tff(22995,plain,
% 16.44/11.64 (((~v121(constB159, 2)) <=> v124(constB159, 2)) | (~v121(constB159, 2)) | v124(constB159, 2)),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(22996,plain,
% 16.44/11.64 (~v121(constB159, 2)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[22995, 22994, 22992])).
% 16.44/11.64 tff(22997,plain,
% 16.44/11.64 (((~v123(constB160, 2)) <=> v121(constB159, 2)) | (~v123(constB160, 2)) | v121(constB159, 2)),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(22998,plain,
% 16.44/11.64 (~v123(constB160, 2)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[22997, 22996, 22990])).
% 16.44/11.64 tff(22999,plain,
% 16.44/11.64 ((((~v84(constB160, 2)) <=> v123(constB160, 2)) | ((~v84(constB160, 1)) <=> v123(constB160, 1)) | ((~v84(constB160, 0)) <=> v123(constB160, 0))) | (~((~v84(constB160, 2)) <=> v123(constB160, 2)))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23000,plain,
% 16.44/11.64 (~((~v84(constB160, 2)) <=> v123(constB160, 2))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[22999, 21304])).
% 16.44/11.64 tff(23001,plain,
% 16.44/11.64 (((~v84(constB160, 2)) <=> v123(constB160, 2)) | (~v84(constB160, 2)) | v123(constB160, 2)),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23002,plain,
% 16.44/11.64 (~v84(constB160, 2)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23001, 23000, 22998])).
% 16.44/11.64 tff(23003,plain,
% 16.44/11.64 (((~v84(constB161, 2)) <=> v84(constB160, 2)) | (~v84(constB161, 2)) | v84(constB160, 2)),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23004,plain,
% 16.44/11.64 (~v84(constB161, 2)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23003, 23002, 22988])).
% 16.44/11.64 tff(23005,plain,
% 16.44/11.64 ((((~v84(constB161, 1)) <=> v84(constB160, 1)) | ((~v84(constB161, 2)) <=> v84(constB160, 2)) | ((~v84(constB161, 0)) <=> v84(constB160, 0))) | (~((~v84(constB161, 0)) <=> v84(constB160, 0)))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23006,plain,
% 16.44/11.64 (~((~v84(constB161, 0)) <=> v84(constB160, 0))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23005, 14720])).
% 16.44/11.64 tff(23007,plain,
% 16.44/11.64 ((((~v123(constB160, 2)) <=> v121(constB159, 2)) | ((~v123(constB160, 1)) <=> v121(constB159, 1)) | ((~v123(constB160, 0)) <=> v121(constB159, 0))) | (~((~v123(constB160, 0)) <=> v121(constB159, 0)))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23008,plain,
% 16.44/11.64 (~((~v123(constB160, 0)) <=> v121(constB159, 0))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23007, 14729])).
% 16.44/11.64 tff(23009,plain,
% 16.44/11.64 ((((~v121(constB159, 2)) <=> v124(constB159, 2)) | ((~v121(constB159, 0)) <=> v124(constB159, 0)) | ((~v121(constB159, 1)) <=> v124(constB159, 1))) | (~((~v121(constB159, 0)) <=> v124(constB159, 0)))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23010,plain,
% 16.44/11.64 (~((~v121(constB159, 0)) <=> v124(constB159, 0))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23009, 14743])).
% 16.44/11.64 tff(23011,plain,
% 16.44/11.64 ((v124(constB159, 2) | (~v124(constB159, 0)) | (~v124(constB159, 1))) | v124(constB159, 0)),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23012,plain,
% 16.44/11.64 (v124(constB159, 0)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23011, 21203])).
% 16.44/11.64 tff(23013,plain,
% 16.44/11.64 (((~v121(constB159, 0)) <=> v124(constB159, 0)) | v121(constB159, 0) | (~v124(constB159, 0))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23014,plain,
% 16.44/11.64 (v121(constB159, 0)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23013, 23012, 23010])).
% 16.44/11.64 tff(23015,plain,
% 16.44/11.64 (((~v123(constB160, 0)) <=> v121(constB159, 0)) | v123(constB160, 0) | (~v121(constB159, 0))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23016,plain,
% 16.44/11.64 (v123(constB160, 0)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23015, 23014, 23008])).
% 16.44/11.64 tff(23017,plain,
% 16.44/11.64 ((((~v84(constB160, 2)) <=> v123(constB160, 2)) | ((~v84(constB160, 1)) <=> v123(constB160, 1)) | ((~v84(constB160, 0)) <=> v123(constB160, 0))) | (~((~v84(constB160, 0)) <=> v123(constB160, 0)))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23018,plain,
% 16.44/11.64 (~((~v84(constB160, 0)) <=> v123(constB160, 0))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23017, 21304])).
% 16.44/11.64 tff(23019,plain,
% 16.44/11.64 (((~v84(constB160, 0)) <=> v123(constB160, 0)) | v84(constB160, 0) | (~v123(constB160, 0))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23020,plain,
% 16.44/11.64 (v84(constB160, 0)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23019, 23018, 23016])).
% 16.44/11.64 tff(23021,plain,
% 16.44/11.64 (((~v84(constB161, 0)) <=> v84(constB160, 0)) | v84(constB161, 0) | (~v84(constB160, 0))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23022,plain,
% 16.44/11.64 (v84(constB161, 0)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23021, 23020, 23006])).
% 16.44/11.64 tff(23023,plain,
% 16.44/11.64 ((~(v84(constB161, 2) | (~v84(constB161, 1)) | (~v84(constB161, 0)))) | v84(constB161, 2) | (~v84(constB161, 1)) | (~v84(constB161, 0))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23024,plain,
% 16.44/11.64 (~(v84(constB161, 2) | (~v84(constB161, 1)) | (~v84(constB161, 0)))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23023, 21310, 23022, 23004])).
% 16.44/11.64 tff(23025,plain,
% 16.44/11.64 ((~(v116(constB161) <=> (~(v84(constB161, 2) | (~v84(constB161, 1)) | (~v84(constB161, 0)))))) | v116(constB161) | (v84(constB161, 2) | (~v84(constB161, 1)) | (~v84(constB161, 0)))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23026,plain,
% 16.44/11.64 (v116(constB161)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23025, 23024, 22986])).
% 16.44/11.64 tff(23027,plain,
% 16.44/11.64 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB161)) | (~(v124(constB161, 0) | v124(constB161, 1) | (~v124(constB161, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB161)) | (~(v124(constB161, 0) | v124(constB161, 1) | (~v124(constB161, 2)))))),
% 16.44/11.64 inference(rewrite,[status(thm)],[])).
% 16.44/11.64 tff(23028,plain,
% 16.44/11.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB161)) | (~(v124(constB161, 0) | v124(constB161, 1) | (~v124(constB161, 2)))))),
% 16.44/11.64 inference(quant_inst,[status(thm)],[])).
% 16.44/11.64 tff(23029,plain,
% 16.44/11.64 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB161)) | (~(v124(constB161, 0) | v124(constB161, 1) | (~v124(constB161, 2))))),
% 16.44/11.64 inference(modus_ponens,[status(thm)],[23028, 23027])).
% 16.44/11.64 tff(23030,plain,
% 16.44/11.64 ((~v116(constB161)) | (~(v124(constB161, 0) | v124(constB161, 1) | (~v124(constB161, 2))))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23029, 3309])).
% 16.44/11.64 tff(23031,plain,
% 16.44/11.64 (~(v124(constB161, 0) | v124(constB161, 1) | (~v124(constB161, 2)))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23030, 23026])).
% 16.44/11.64 tff(23032,plain,
% 16.44/11.64 ((v124(constB161, 0) | v124(constB161, 1) | (~v124(constB161, 2))) | v124(constB161, 2)),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23033,plain,
% 16.44/11.64 (v124(constB161, 2)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23032, 23031])).
% 16.44/11.64 tff(23034,plain,
% 16.44/11.64 (((~v121(constB161, 2)) <=> v124(constB161, 2)) | v121(constB161, 2) | (~v124(constB161, 2))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23035,plain,
% 16.44/11.64 (v121(constB161, 2)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23034, 23033, 22984])).
% 16.44/11.64 tff(23036,plain,
% 16.44/11.64 (((~v123(constB162, 2)) <=> v121(constB161, 2)) | v123(constB162, 2) | (~v121(constB161, 2))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23037,plain,
% 16.44/11.64 (v123(constB162, 2)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23036, 23035, 22970])).
% 16.44/11.64 tff(23038,plain,
% 16.44/11.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB161, constB162)) | (v94(constB162) <=> (~((~v95(constB162)) | (~v104(constB162))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB161, constB162)) | (v94(constB162) <=> (~((~v95(constB162)) | (~v104(constB162))))))),
% 16.44/11.64 inference(rewrite,[status(thm)],[])).
% 16.44/11.64 tff(23039,plain,
% 16.44/11.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB161, constB162)) | (v94(constB162) <=> (~((~v95(constB162)) | (~v104(constB162))))))),
% 16.44/11.64 inference(quant_inst,[status(thm)],[])).
% 16.44/11.64 tff(23040,plain,
% 16.44/11.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB161, constB162)) | (v94(constB162) <=> (~((~v95(constB162)) | (~v104(constB162)))))),
% 16.44/11.64 inference(modus_ponens,[status(thm)],[23039, 23038])).
% 16.44/11.64 tff(23041,plain,
% 16.44/11.64 (v94(constB162) <=> (~((~v95(constB162)) | (~v104(constB162))))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23040, 14601, 770])).
% 16.44/11.64 tff(23042,plain,
% 16.44/11.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162))))))),
% 16.44/11.64 inference(rewrite,[status(thm)],[])).
% 16.44/11.64 tff(23043,plain,
% 16.44/11.64 (((~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v96(constB162)) | (~v1(constB162)))))) <=> ((~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162))))))),
% 16.44/11.64 inference(rewrite,[status(thm)],[])).
% 16.44/11.64 tff(23044,plain,
% 16.44/11.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v96(constB162)) | (~v1(constB162))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162)))))))),
% 16.44/11.64 inference(monotonicity,[status(thm)],[23043])).
% 16.44/11.64 tff(23045,plain,
% 16.44/11.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v96(constB162)) | (~v1(constB162))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162))))))),
% 16.44/11.64 inference(transitivity,[status(thm)],[23044, 23042])).
% 16.44/11.64 tff(23046,plain,
% 16.44/11.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v96(constB162)) | (~v1(constB162))))))),
% 16.44/11.64 inference(quant_inst,[status(thm)],[])).
% 16.44/11.64 tff(23047,plain,
% 16.44/11.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162)))))),
% 16.44/11.64 inference(modus_ponens,[status(thm)],[23046, 23045])).
% 16.44/11.64 tff(23048,plain,
% 16.44/11.64 (v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162))))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23047, 14601, 790])).
% 16.44/11.64 tff(23049,plain,
% 16.44/11.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB161, constB162)) | ((~v96(constB162)) <=> v98(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB161, constB162)) | ((~v96(constB162)) <=> v98(constB162)))),
% 16.44/11.64 inference(rewrite,[status(thm)],[])).
% 16.44/11.64 tff(23050,plain,
% 16.44/11.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB161, constB162)) | ((~v96(constB162)) <=> v98(constB162)))),
% 16.44/11.64 inference(quant_inst,[status(thm)],[])).
% 16.44/11.64 tff(23051,plain,
% 16.44/11.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB161, constB162)) | ((~v96(constB162)) <=> v98(constB162))),
% 16.44/11.64 inference(modus_ponens,[status(thm)],[23050, 23049])).
% 16.44/11.64 tff(23052,plain,
% 16.44/11.64 ((~v96(constB162)) <=> v98(constB162)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23051, 14601, 2332])).
% 16.44/11.64 tff(23053,plain,
% 16.44/11.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB161, constB162)) | (v98(constB162) <=> v1(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB161, constB162)) | (v98(constB162) <=> v1(constB161)))),
% 16.44/11.64 inference(rewrite,[status(thm)],[])).
% 16.44/11.64 tff(23054,plain,
% 16.44/11.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB161, constB162)) | (v98(constB162) <=> v1(constB161)))),
% 16.44/11.64 inference(quant_inst,[status(thm)],[])).
% 16.44/11.64 tff(23055,plain,
% 16.44/11.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB161, constB162)) | (v98(constB162) <=> v1(constB161))),
% 16.44/11.64 inference(modus_ponens,[status(thm)],[23054, 23053])).
% 16.44/11.64 tff(23056,plain,
% 16.44/11.64 (v98(constB162) <=> v1(constB161)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23055, 14601, 2346])).
% 16.44/11.64 tff(23057,plain,
% 16.44/11.64 ((~(v98(constB162) <=> v1(constB161))) | (~v98(constB162)) | v1(constB161)),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23058,plain,
% 16.44/11.64 ((~(v98(constB162) <=> v1(constB161))) | (~v98(constB162))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23057, 14665])).
% 16.44/11.64 tff(23059,plain,
% 16.44/11.64 (~v98(constB162)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23058, 23056])).
% 16.44/11.64 tff(23060,plain,
% 16.44/11.64 ((~((~v96(constB162)) <=> v98(constB162))) | v96(constB162) | v98(constB162)),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23061,plain,
% 16.44/11.64 (v96(constB162)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23060, 23059, 23052])).
% 16.44/11.64 tff(23062,plain,
% 16.44/11.64 ((~((~v1(constB162)) | (~v96(constB162)))) | (~v1(constB162)) | (~v96(constB162))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23063,plain,
% 16.44/11.64 ((~((~v1(constB162)) | (~v96(constB162)))) | (~v96(constB162))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23062, 14572])).
% 16.44/11.64 tff(23064,plain,
% 16.44/11.64 (~((~v1(constB162)) | (~v96(constB162)))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23063, 23061])).
% 16.44/11.64 tff(23065,plain,
% 16.44/11.64 ((~(v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162)))))) | v95(constB162) | ((~v1(constB162)) | (~v96(constB162)))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23066,plain,
% 16.44/11.64 (v95(constB162)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23065, 23064, 23048])).
% 16.44/11.64 tff(23067,plain,
% 16.44/11.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB161, constB162)) | (v104(constB162) <=> v102(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB161, constB162)) | (v104(constB162) <=> v102(constB161)))),
% 16.44/11.64 inference(rewrite,[status(thm)],[])).
% 16.44/11.64 tff(23068,plain,
% 16.44/11.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB161, constB162)) | (v104(constB162) <=> v102(constB161)))),
% 16.44/11.64 inference(quant_inst,[status(thm)],[])).
% 16.44/11.64 tff(23069,plain,
% 16.44/11.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB161, constB162)) | (v104(constB162) <=> v102(constB161))),
% 16.44/11.64 inference(modus_ponens,[status(thm)],[23068, 23067])).
% 16.44/11.64 tff(23070,plain,
% 16.44/11.64 (v104(constB162) <=> v102(constB161)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23069, 14601, 2373])).
% 16.44/11.64 tff(23071,plain,
% 16.44/11.64 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB161) <=> (v105(constB161) | v106(constB161)))),
% 16.44/11.64 inference(quant_inst,[status(thm)],[])).
% 16.44/11.64 tff(23072,plain,
% 16.44/11.64 (v102(constB161) <=> (v105(constB161) | v106(constB161))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23071, 2384])).
% 16.44/11.64 tff(23073,plain,
% 16.44/11.64 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB161) <=> (~((~v107(constB161)) | (~v120(constB161)))))),
% 16.44/11.64 inference(quant_inst,[status(thm)],[])).
% 16.44/11.64 tff(23074,plain,
% 16.44/11.64 (v106(constB161) <=> (~((~v107(constB161)) | (~v120(constB161))))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23073, 2396])).
% 16.44/11.64 tff(23075,plain,
% 16.44/11.64 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB161) <=> (v108(constB161) | v119(constB161)))),
% 16.44/11.64 inference(quant_inst,[status(thm)],[])).
% 16.44/11.64 tff(23076,plain,
% 16.44/11.64 (v107(constB161) <=> (v108(constB161) | v119(constB161))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23075, 2405])).
% 16.44/11.64 tff(23077,plain,
% 16.44/11.64 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB161) <=> (v109(constB161) | v118(constB161)))),
% 16.44/11.64 inference(quant_inst,[status(thm)],[])).
% 16.44/11.64 tff(23078,plain,
% 16.44/11.64 (v108(constB161) <=> (v109(constB161) | v118(constB161))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23077, 2414])).
% 16.44/11.64 tff(23079,plain,
% 16.44/11.64 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB161) <=> (v110(constB161) | v117(constB161)))),
% 16.44/11.64 inference(quant_inst,[status(thm)],[])).
% 16.44/11.64 tff(23080,plain,
% 16.44/11.64 (v109(constB161) <=> (v110(constB161) | v117(constB161))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23079, 2423])).
% 16.44/11.64 tff(23081,plain,
% 16.44/11.64 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB161) <=> (v111(constB161) | v116(constB161)))),
% 16.44/11.64 inference(quant_inst,[status(thm)],[])).
% 16.44/11.64 tff(23082,plain,
% 16.44/11.64 (v110(constB161) <=> (v111(constB161) | v116(constB161))),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23081, 2432])).
% 16.44/11.64 tff(23083,plain,
% 16.44/11.64 ((v111(constB161) | v116(constB161)) | (~v116(constB161))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23084,plain,
% 16.44/11.64 (v111(constB161) | v116(constB161)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23083, 23026])).
% 16.44/11.64 tff(23085,plain,
% 16.44/11.64 ((~(v110(constB161) <=> (v111(constB161) | v116(constB161)))) | v110(constB161) | (~(v111(constB161) | v116(constB161)))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23086,plain,
% 16.44/11.64 (v110(constB161)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23085, 23084, 23082])).
% 16.44/11.64 tff(23087,plain,
% 16.44/11.64 ((v110(constB161) | v117(constB161)) | (~v110(constB161))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23088,plain,
% 16.44/11.64 (v110(constB161) | v117(constB161)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23087, 23086])).
% 16.44/11.64 tff(23089,plain,
% 16.44/11.64 ((~(v109(constB161) <=> (v110(constB161) | v117(constB161)))) | v109(constB161) | (~(v110(constB161) | v117(constB161)))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23090,plain,
% 16.44/11.64 (v109(constB161)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23089, 23088, 23080])).
% 16.44/11.64 tff(23091,plain,
% 16.44/11.64 ((v109(constB161) | v118(constB161)) | (~v109(constB161))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23092,plain,
% 16.44/11.64 (v109(constB161) | v118(constB161)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23091, 23090])).
% 16.44/11.64 tff(23093,plain,
% 16.44/11.64 ((~(v108(constB161) <=> (v109(constB161) | v118(constB161)))) | v108(constB161) | (~(v109(constB161) | v118(constB161)))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23094,plain,
% 16.44/11.64 (v108(constB161)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23093, 23092, 23078])).
% 16.44/11.64 tff(23095,plain,
% 16.44/11.64 ((v108(constB161) | v119(constB161)) | (~v108(constB161))),
% 16.44/11.64 inference(tautology,[status(thm)],[])).
% 16.44/11.64 tff(23096,plain,
% 16.44/11.64 (v108(constB161) | v119(constB161)),
% 16.44/11.64 inference(unit_resolution,[status(thm)],[23095, 23094])).
% 16.44/11.65 tff(23097,plain,
% 16.44/11.65 ((~(v107(constB161) <=> (v108(constB161) | v119(constB161)))) | v107(constB161) | (~(v108(constB161) | v119(constB161)))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23098,plain,
% 16.44/11.65 (v107(constB161)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23097, 23096, 23076])).
% 16.44/11.65 tff(23099,plain,
% 16.44/11.65 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB161)) <=> v105(constB161))),
% 16.44/11.65 inference(quant_inst,[status(thm)],[])).
% 16.44/11.65 tff(23100,plain,
% 16.44/11.65 ((~v120(constB161)) <=> v105(constB161)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23099, 2484])).
% 16.44/11.65 tff(23101,plain,
% 16.44/11.65 ((~((~v120(constB161)) <=> v105(constB161))) | v120(constB161) | v105(constB161)),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23102,plain,
% 16.44/11.65 ((~((~v120(constB161)) <=> v105(constB161))) | v120(constB161)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23101, 22977])).
% 16.44/11.65 tff(23103,plain,
% 16.44/11.65 (v120(constB161)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23102, 23100])).
% 16.44/11.65 tff(23104,plain,
% 16.44/11.65 ((~((~v107(constB161)) | (~v120(constB161)))) | (~v107(constB161)) | (~v120(constB161))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23105,plain,
% 16.44/11.65 ((~((~v107(constB161)) | (~v120(constB161)))) | (~v107(constB161))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23104, 23103])).
% 16.44/11.65 tff(23106,plain,
% 16.44/11.65 (~((~v107(constB161)) | (~v120(constB161)))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23105, 23098])).
% 16.44/11.65 tff(23107,plain,
% 16.44/11.65 ((~(v106(constB161) <=> (~((~v107(constB161)) | (~v120(constB161)))))) | v106(constB161) | ((~v107(constB161)) | (~v120(constB161)))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23108,plain,
% 16.44/11.65 (v106(constB161)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23107, 23106, 23074])).
% 16.44/11.65 tff(23109,plain,
% 16.44/11.65 ((v105(constB161) | v106(constB161)) | (~v106(constB161))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23110,plain,
% 16.44/11.65 (v105(constB161) | v106(constB161)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23109, 23108])).
% 16.44/11.65 tff(23111,plain,
% 16.44/11.65 ((~(v102(constB161) <=> (v105(constB161) | v106(constB161)))) | v102(constB161) | (~(v105(constB161) | v106(constB161)))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23112,plain,
% 16.44/11.65 (v102(constB161)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23111, 23110, 23072])).
% 16.44/11.65 tff(23113,plain,
% 16.44/11.65 ((~(v104(constB162) <=> v102(constB161))) | v104(constB162) | (~v102(constB161))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23114,plain,
% 16.44/11.65 (v104(constB162)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23113, 23112, 23070])).
% 16.44/11.65 tff(23115,plain,
% 16.44/11.65 ((~((~v95(constB162)) | (~v104(constB162)))) | (~v95(constB162)) | (~v104(constB162))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23116,plain,
% 16.44/11.65 (~((~v95(constB162)) | (~v104(constB162)))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23115, 23114, 23066])).
% 16.44/11.65 tff(23117,plain,
% 16.44/11.65 ((~(v94(constB162) <=> (~((~v95(constB162)) | (~v104(constB162)))))) | v94(constB162) | ((~v95(constB162)) | (~v104(constB162)))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23118,plain,
% 16.44/11.65 (v94(constB162)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23117, 23116, 23041])).
% 16.44/11.65 tff(23119,plain,
% 16.44/11.65 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB162)) | (~(((~v84(constB162, 0)) <=> v123(constB162, 0)) | ((~v84(constB162, 2)) <=> v123(constB162, 2)) | ((~v84(constB162, 1)) <=> v123(constB162, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB162)) | (~(((~v84(constB162, 0)) <=> v123(constB162, 0)) | ((~v84(constB162, 2)) <=> v123(constB162, 2)) | ((~v84(constB162, 1)) <=> v123(constB162, 1)))))),
% 16.44/11.65 inference(rewrite,[status(thm)],[])).
% 16.44/11.65 tff(23120,plain,
% 16.44/11.65 (((~v94(constB162)) | (~(((~v84(constB162, 2)) <=> v123(constB162, 2)) | ((~v84(constB162, 1)) <=> v123(constB162, 1)) | ((~v84(constB162, 0)) <=> v123(constB162, 0))))) <=> ((~v94(constB162)) | (~(((~v84(constB162, 0)) <=> v123(constB162, 0)) | ((~v84(constB162, 2)) <=> v123(constB162, 2)) | ((~v84(constB162, 1)) <=> v123(constB162, 1)))))),
% 16.44/11.65 inference(rewrite,[status(thm)],[])).
% 16.44/11.65 tff(23121,plain,
% 16.44/11.65 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB162)) | (~(((~v84(constB162, 2)) <=> v123(constB162, 2)) | ((~v84(constB162, 1)) <=> v123(constB162, 1)) | ((~v84(constB162, 0)) <=> v123(constB162, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB162)) | (~(((~v84(constB162, 0)) <=> v123(constB162, 0)) | ((~v84(constB162, 2)) <=> v123(constB162, 2)) | ((~v84(constB162, 1)) <=> v123(constB162, 1))))))),
% 16.44/11.65 inference(monotonicity,[status(thm)],[23120])).
% 16.44/11.65 tff(23122,plain,
% 16.44/11.65 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB162)) | (~(((~v84(constB162, 2)) <=> v123(constB162, 2)) | ((~v84(constB162, 1)) <=> v123(constB162, 1)) | ((~v84(constB162, 0)) <=> v123(constB162, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB162)) | (~(((~v84(constB162, 0)) <=> v123(constB162, 0)) | ((~v84(constB162, 2)) <=> v123(constB162, 2)) | ((~v84(constB162, 1)) <=> v123(constB162, 1)))))),
% 16.44/11.65 inference(transitivity,[status(thm)],[23121, 23119])).
% 16.44/11.65 tff(23123,plain,
% 16.44/11.65 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB162)) | (~(((~v84(constB162, 2)) <=> v123(constB162, 2)) | ((~v84(constB162, 1)) <=> v123(constB162, 1)) | ((~v84(constB162, 0)) <=> v123(constB162, 0)))))),
% 16.44/11.65 inference(quant_inst,[status(thm)],[])).
% 16.44/11.65 tff(23124,plain,
% 16.44/11.65 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB162)) | (~(((~v84(constB162, 0)) <=> v123(constB162, 0)) | ((~v84(constB162, 2)) <=> v123(constB162, 2)) | ((~v84(constB162, 1)) <=> v123(constB162, 1))))),
% 16.44/11.65 inference(modus_ponens,[status(thm)],[23123, 23122])).
% 16.44/11.65 tff(23125,plain,
% 16.44/11.65 ((~v94(constB162)) | (~(((~v84(constB162, 0)) <=> v123(constB162, 0)) | ((~v84(constB162, 2)) <=> v123(constB162, 2)) | ((~v84(constB162, 1)) <=> v123(constB162, 1))))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23124, 2517])).
% 16.44/11.65 tff(23126,plain,
% 16.44/11.65 (~(((~v84(constB162, 0)) <=> v123(constB162, 0)) | ((~v84(constB162, 2)) <=> v123(constB162, 2)) | ((~v84(constB162, 1)) <=> v123(constB162, 1)))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23125, 23118])).
% 16.44/11.65 tff(23127,plain,
% 16.44/11.65 ((((~v84(constB162, 0)) <=> v123(constB162, 0)) | ((~v84(constB162, 2)) <=> v123(constB162, 2)) | ((~v84(constB162, 1)) <=> v123(constB162, 1))) | (~((~v84(constB162, 2)) <=> v123(constB162, 2)))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23128,plain,
% 16.44/11.65 (~((~v84(constB162, 2)) <=> v123(constB162, 2))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23127, 23126])).
% 16.44/11.65 tff(23129,plain,
% 16.44/11.65 (((~v84(constB162, 2)) <=> v123(constB162, 2)) | v84(constB162, 2) | (~v123(constB162, 2))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23130,plain,
% 16.44/11.65 (v84(constB162, 2)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23129, 23128, 23037])).
% 16.44/11.65 tff(23131,plain,
% 16.44/11.65 (((~v84(constB163, 2)) <=> v84(constB162, 2)) | v84(constB163, 2) | (~v84(constB162, 2))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23132,plain,
% 16.44/11.65 (v84(constB163, 2)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23131, 23130, 22964])).
% 16.44/11.65 tff(23133,plain,
% 16.44/11.65 ((((~v84(constB163, 1)) <=> v84(constB162, 1)) | ((~v84(constB163, 2)) <=> v84(constB162, 2)) | ((~v84(constB163, 0)) <=> v84(constB162, 0))) | (~((~v84(constB163, 0)) <=> v84(constB162, 0)))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23134,plain,
% 16.44/11.65 (~((~v84(constB163, 0)) <=> v84(constB162, 0))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23133, 22962])).
% 16.44/11.65 tff(23135,plain,
% 16.44/11.65 ((((~v123(constB162, 2)) <=> v121(constB161, 2)) | ((~v123(constB162, 1)) <=> v121(constB161, 1)) | ((~v123(constB162, 0)) <=> v121(constB161, 0))) | (~((~v123(constB162, 0)) <=> v121(constB161, 0)))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23136,plain,
% 16.44/11.65 (~((~v123(constB162, 0)) <=> v121(constB161, 0))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23135, 22968])).
% 16.44/11.65 tff(23137,plain,
% 16.44/11.65 ((((~v121(constB161, 2)) <=> v124(constB161, 2)) | ((~v121(constB161, 0)) <=> v124(constB161, 0)) | ((~v121(constB161, 1)) <=> v124(constB161, 1))) | (~((~v121(constB161, 0)) <=> v124(constB161, 0)))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23138,plain,
% 16.44/11.65 (~((~v121(constB161, 0)) <=> v124(constB161, 0))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23137, 22982])).
% 16.44/11.65 tff(23139,plain,
% 16.44/11.65 ((v124(constB161, 0) | v124(constB161, 1) | (~v124(constB161, 2))) | (~v124(constB161, 0))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23140,plain,
% 16.44/11.65 (~v124(constB161, 0)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23139, 23031])).
% 16.44/11.65 tff(23141,plain,
% 16.44/11.65 (((~v121(constB161, 0)) <=> v124(constB161, 0)) | (~v121(constB161, 0)) | v124(constB161, 0)),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23142,plain,
% 16.44/11.65 (~v121(constB161, 0)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23141, 23140, 23138])).
% 16.44/11.65 tff(23143,plain,
% 16.44/11.65 (((~v123(constB162, 0)) <=> v121(constB161, 0)) | (~v123(constB162, 0)) | v121(constB161, 0)),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23144,plain,
% 16.44/11.65 (~v123(constB162, 0)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23143, 23142, 23136])).
% 16.44/11.65 tff(23145,plain,
% 16.44/11.65 ((((~v84(constB162, 0)) <=> v123(constB162, 0)) | ((~v84(constB162, 2)) <=> v123(constB162, 2)) | ((~v84(constB162, 1)) <=> v123(constB162, 1))) | (~((~v84(constB162, 0)) <=> v123(constB162, 0)))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23146,plain,
% 16.44/11.65 (~((~v84(constB162, 0)) <=> v123(constB162, 0))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23145, 23126])).
% 16.44/11.65 tff(23147,plain,
% 16.44/11.65 (((~v84(constB162, 0)) <=> v123(constB162, 0)) | (~v84(constB162, 0)) | v123(constB162, 0)),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23148,plain,
% 16.44/11.65 (~v84(constB162, 0)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23147, 23146, 23144])).
% 16.44/11.65 tff(23149,plain,
% 16.44/11.65 (((~v84(constB163, 0)) <=> v84(constB162, 0)) | (~v84(constB163, 0)) | v84(constB162, 0)),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23150,plain,
% 16.44/11.65 (~v84(constB163, 0)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23149, 23148, 23134])).
% 16.44/11.65 tff(23151,plain,
% 16.44/11.65 ((((~v84(constB163, 1)) <=> v84(constB162, 1)) | ((~v84(constB163, 2)) <=> v84(constB162, 2)) | ((~v84(constB163, 0)) <=> v84(constB162, 0))) | (~((~v84(constB163, 1)) <=> v84(constB162, 1)))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23152,plain,
% 16.44/11.65 (~((~v84(constB163, 1)) <=> v84(constB162, 1))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23151, 22962])).
% 16.44/11.65 tff(23153,plain,
% 16.44/11.65 ((((~v123(constB162, 2)) <=> v121(constB161, 2)) | ((~v123(constB162, 1)) <=> v121(constB161, 1)) | ((~v123(constB162, 0)) <=> v121(constB161, 0))) | (~((~v123(constB162, 1)) <=> v121(constB161, 1)))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23154,plain,
% 16.44/11.65 (~((~v123(constB162, 1)) <=> v121(constB161, 1))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23153, 22968])).
% 16.44/11.65 tff(23155,plain,
% 16.44/11.65 ((((~v121(constB161, 2)) <=> v124(constB161, 2)) | ((~v121(constB161, 0)) <=> v124(constB161, 0)) | ((~v121(constB161, 1)) <=> v124(constB161, 1))) | (~((~v121(constB161, 1)) <=> v124(constB161, 1)))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23156,plain,
% 16.44/11.65 (~((~v121(constB161, 1)) <=> v124(constB161, 1))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23155, 22982])).
% 16.44/11.65 tff(23157,plain,
% 16.44/11.65 ((v124(constB161, 0) | v124(constB161, 1) | (~v124(constB161, 2))) | (~v124(constB161, 1))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23158,plain,
% 16.44/11.65 (~v124(constB161, 1)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23157, 23031])).
% 16.44/11.65 tff(23159,plain,
% 16.44/11.65 (((~v121(constB161, 1)) <=> v124(constB161, 1)) | (~v121(constB161, 1)) | v124(constB161, 1)),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23160,plain,
% 16.44/11.65 (~v121(constB161, 1)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23159, 23158, 23156])).
% 16.44/11.65 tff(23161,plain,
% 16.44/11.65 (((~v123(constB162, 1)) <=> v121(constB161, 1)) | (~v123(constB162, 1)) | v121(constB161, 1)),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23162,plain,
% 16.44/11.65 (~v123(constB162, 1)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23161, 23160, 23154])).
% 16.44/11.65 tff(23163,plain,
% 16.44/11.65 ((((~v84(constB162, 0)) <=> v123(constB162, 0)) | ((~v84(constB162, 2)) <=> v123(constB162, 2)) | ((~v84(constB162, 1)) <=> v123(constB162, 1))) | (~((~v84(constB162, 1)) <=> v123(constB162, 1)))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23164,plain,
% 16.44/11.65 (~((~v84(constB162, 1)) <=> v123(constB162, 1))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23163, 23126])).
% 16.44/11.65 tff(23165,plain,
% 16.44/11.65 (((~v84(constB162, 1)) <=> v123(constB162, 1)) | (~v84(constB162, 1)) | v123(constB162, 1)),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23166,plain,
% 16.44/11.65 (~v84(constB162, 1)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23165, 23164, 23162])).
% 16.44/11.65 tff(23167,plain,
% 16.44/11.65 (((~v84(constB163, 1)) <=> v84(constB162, 1)) | (~v84(constB163, 1)) | v84(constB162, 1)),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23168,plain,
% 16.44/11.65 (~v84(constB163, 1)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23167, 23166, 23152])).
% 16.44/11.65 tff(23169,plain,
% 16.44/11.65 ((~(v84(constB163, 1) | v84(constB163, 0) | (~v84(constB163, 2)))) | v84(constB163, 1) | v84(constB163, 0) | (~v84(constB163, 2))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23170,plain,
% 16.44/11.65 (~(v84(constB163, 1) | v84(constB163, 0) | (~v84(constB163, 2)))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23169, 23168, 23150, 23132])).
% 16.44/11.65 tff(23171,plain,
% 16.44/11.65 ((~(v117(constB163) <=> (~(v84(constB163, 1) | v84(constB163, 0) | (~v84(constB163, 2)))))) | v117(constB163) | (v84(constB163, 1) | v84(constB163, 0) | (~v84(constB163, 2)))),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23172,plain,
% 16.44/11.65 (v117(constB163)),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23171, 23170, 22934])).
% 16.44/11.65 tff(23173,plain,
% 16.44/11.65 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB163)) | (~(v124(constB163, 0) | (~v124(constB163, 2)) | (~v124(constB163, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB163)) | (~(v124(constB163, 0) | (~v124(constB163, 2)) | (~v124(constB163, 1)))))),
% 16.44/11.65 inference(rewrite,[status(thm)],[])).
% 16.44/11.65 tff(23174,plain,
% 16.44/11.65 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB163)) | (~(v124(constB163, 0) | (~v124(constB163, 2)) | (~v124(constB163, 1)))))),
% 16.44/11.65 inference(quant_inst,[status(thm)],[])).
% 16.44/11.65 tff(23175,plain,
% 16.44/11.65 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB163)) | (~(v124(constB163, 0) | (~v124(constB163, 2)) | (~v124(constB163, 1))))),
% 16.44/11.65 inference(modus_ponens,[status(thm)],[23174, 23173])).
% 16.44/11.65 tff(23176,plain,
% 16.44/11.65 ((~v117(constB163)) | (~(v124(constB163, 0) | (~v124(constB163, 2)) | (~v124(constB163, 1))))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23175, 2584])).
% 16.44/11.65 tff(23177,plain,
% 16.44/11.65 (~(v124(constB163, 0) | (~v124(constB163, 2)) | (~v124(constB163, 1)))),
% 16.44/11.65 inference(unit_resolution,[status(thm)],[23176, 23172])).
% 16.44/11.65 tff(23178,plain,
% 16.44/11.65 ((v124(constB163, 0) | (~v124(constB163, 2)) | (~v124(constB163, 1))) | v124(constB163, 2)),
% 16.44/11.65 inference(tautology,[status(thm)],[])).
% 16.44/11.65 tff(23179,plain,
% 16.44/11.65 (v124(constB163, 2)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23178, 23177])).
% 16.44/11.66 tff(23180,plain,
% 16.44/11.66 (((~v121(constB163, 2)) <=> v124(constB163, 2)) | v121(constB163, 2) | (~v124(constB163, 2))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23181,plain,
% 16.44/11.66 (v121(constB163, 2)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23180, 23179, 22927])).
% 16.44/11.66 tff(23182,plain,
% 16.44/11.66 (((~v123(constB164, 2)) <=> v121(constB163, 2)) | v123(constB164, 2) | (~v121(constB163, 2))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23183,plain,
% 16.44/11.66 (v123(constB164, 2)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23182, 23181, 22913])).
% 16.44/11.66 tff(23184,plain,
% 16.44/11.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB163, constB164)) | (v94(constB164) <=> (~((~v95(constB164)) | (~v104(constB164))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB163, constB164)) | (v94(constB164) <=> (~((~v95(constB164)) | (~v104(constB164))))))),
% 16.44/11.66 inference(rewrite,[status(thm)],[])).
% 16.44/11.66 tff(23185,plain,
% 16.44/11.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB163, constB164)) | (v94(constB164) <=> (~((~v95(constB164)) | (~v104(constB164))))))),
% 16.44/11.66 inference(quant_inst,[status(thm)],[])).
% 16.44/11.66 tff(23186,plain,
% 16.44/11.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB163, constB164)) | (v94(constB164) <=> (~((~v95(constB164)) | (~v104(constB164)))))),
% 16.44/11.66 inference(modus_ponens,[status(thm)],[23185, 23184])).
% 16.44/11.66 tff(23187,plain,
% 16.44/11.66 (v94(constB164) <=> (~((~v95(constB164)) | (~v104(constB164))))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23186, 14461, 770])).
% 16.44/11.66 tff(23188,plain,
% 16.44/11.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164))))))),
% 16.44/11.66 inference(rewrite,[status(thm)],[])).
% 16.44/11.66 tff(23189,plain,
% 16.44/11.66 (((~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v96(constB164)) | (~v1(constB164)))))) <=> ((~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164))))))),
% 16.44/11.66 inference(rewrite,[status(thm)],[])).
% 16.44/11.66 tff(23190,plain,
% 16.44/11.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v96(constB164)) | (~v1(constB164))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164)))))))),
% 16.44/11.66 inference(monotonicity,[status(thm)],[23189])).
% 16.44/11.66 tff(23191,plain,
% 16.44/11.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v96(constB164)) | (~v1(constB164))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164))))))),
% 16.44/11.66 inference(transitivity,[status(thm)],[23190, 23188])).
% 16.44/11.66 tff(23192,plain,
% 16.44/11.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v96(constB164)) | (~v1(constB164))))))),
% 16.44/11.66 inference(quant_inst,[status(thm)],[])).
% 16.44/11.66 tff(23193,plain,
% 16.44/11.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164)))))),
% 16.44/11.66 inference(modus_ponens,[status(thm)],[23192, 23191])).
% 16.44/11.66 tff(23194,plain,
% 16.44/11.66 (v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164))))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23193, 14461, 790])).
% 16.44/11.66 tff(23195,plain,
% 16.44/11.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB163, constB164)) | ((~v96(constB164)) <=> v98(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB163, constB164)) | ((~v96(constB164)) <=> v98(constB164)))),
% 16.44/11.66 inference(rewrite,[status(thm)],[])).
% 16.44/11.66 tff(23196,plain,
% 16.44/11.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB163, constB164)) | ((~v96(constB164)) <=> v98(constB164)))),
% 16.44/11.66 inference(quant_inst,[status(thm)],[])).
% 16.44/11.66 tff(23197,plain,
% 16.44/11.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB163, constB164)) | ((~v96(constB164)) <=> v98(constB164))),
% 16.44/11.66 inference(modus_ponens,[status(thm)],[23196, 23195])).
% 16.44/11.66 tff(23198,plain,
% 16.44/11.66 ((~v96(constB164)) <=> v98(constB164)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23197, 14461, 2332])).
% 16.44/11.66 tff(23199,plain,
% 16.44/11.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB163, constB164)) | (v98(constB164) <=> v1(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB163, constB164)) | (v98(constB164) <=> v1(constB163)))),
% 16.44/11.66 inference(rewrite,[status(thm)],[])).
% 16.44/11.66 tff(23200,plain,
% 16.44/11.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB163, constB164)) | (v98(constB164) <=> v1(constB163)))),
% 16.44/11.66 inference(quant_inst,[status(thm)],[])).
% 16.44/11.66 tff(23201,plain,
% 16.44/11.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB163, constB164)) | (v98(constB164) <=> v1(constB163))),
% 16.44/11.66 inference(modus_ponens,[status(thm)],[23200, 23199])).
% 16.44/11.66 tff(23202,plain,
% 16.44/11.66 (v98(constB164) <=> v1(constB163)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23201, 14461, 2346])).
% 16.44/11.66 tff(23203,plain,
% 16.44/11.66 ((~(v98(constB164) <=> v1(constB163))) | (~v98(constB164)) | v1(constB163)),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23204,plain,
% 16.44/11.66 ((~(v98(constB164) <=> v1(constB163))) | (~v98(constB164))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23203, 14525])).
% 16.44/11.66 tff(23205,plain,
% 16.44/11.66 (~v98(constB164)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23204, 23202])).
% 16.44/11.66 tff(23206,plain,
% 16.44/11.66 ((~((~v96(constB164)) <=> v98(constB164))) | v96(constB164) | v98(constB164)),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23207,plain,
% 16.44/11.66 (v96(constB164)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23206, 23205, 23198])).
% 16.44/11.66 tff(23208,plain,
% 16.44/11.66 ((~((~v1(constB164)) | (~v96(constB164)))) | (~v1(constB164)) | (~v96(constB164))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23209,plain,
% 16.44/11.66 ((~((~v1(constB164)) | (~v96(constB164)))) | (~v96(constB164))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23208, 14432])).
% 16.44/11.66 tff(23210,plain,
% 16.44/11.66 (~((~v1(constB164)) | (~v96(constB164)))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23209, 23207])).
% 16.44/11.66 tff(23211,plain,
% 16.44/11.66 ((~(v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164)))))) | v95(constB164) | ((~v1(constB164)) | (~v96(constB164)))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23212,plain,
% 16.44/11.66 (v95(constB164)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23211, 23210, 23194])).
% 16.44/11.66 tff(23213,plain,
% 16.44/11.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB163, constB164)) | (v104(constB164) <=> v102(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB163, constB164)) | (v104(constB164) <=> v102(constB163)))),
% 16.44/11.66 inference(rewrite,[status(thm)],[])).
% 16.44/11.66 tff(23214,plain,
% 16.44/11.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB163, constB164)) | (v104(constB164) <=> v102(constB163)))),
% 16.44/11.66 inference(quant_inst,[status(thm)],[])).
% 16.44/11.66 tff(23215,plain,
% 16.44/11.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB163, constB164)) | (v104(constB164) <=> v102(constB163))),
% 16.44/11.66 inference(modus_ponens,[status(thm)],[23214, 23213])).
% 16.44/11.66 tff(23216,plain,
% 16.44/11.66 (v104(constB164) <=> v102(constB163)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23215, 14461, 2373])).
% 16.44/11.66 tff(23217,plain,
% 16.44/11.66 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB163) <=> (v105(constB163) | v106(constB163)))),
% 16.44/11.66 inference(quant_inst,[status(thm)],[])).
% 16.44/11.66 tff(23218,plain,
% 16.44/11.66 (v102(constB163) <=> (v105(constB163) | v106(constB163))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23217, 2384])).
% 16.44/11.66 tff(23219,plain,
% 16.44/11.66 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB163) <=> (~((~v107(constB163)) | (~v120(constB163)))))),
% 16.44/11.66 inference(quant_inst,[status(thm)],[])).
% 16.44/11.66 tff(23220,plain,
% 16.44/11.66 (v106(constB163) <=> (~((~v107(constB163)) | (~v120(constB163))))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23219, 2396])).
% 16.44/11.66 tff(23221,plain,
% 16.44/11.66 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB163) <=> (v108(constB163) | v119(constB163)))),
% 16.44/11.66 inference(quant_inst,[status(thm)],[])).
% 16.44/11.66 tff(23222,plain,
% 16.44/11.66 (v107(constB163) <=> (v108(constB163) | v119(constB163))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23221, 2405])).
% 16.44/11.66 tff(23223,plain,
% 16.44/11.66 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB163) <=> (v109(constB163) | v118(constB163)))),
% 16.44/11.66 inference(quant_inst,[status(thm)],[])).
% 16.44/11.66 tff(23224,plain,
% 16.44/11.66 (v108(constB163) <=> (v109(constB163) | v118(constB163))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23223, 2414])).
% 16.44/11.66 tff(23225,plain,
% 16.44/11.66 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB163) <=> (v110(constB163) | v117(constB163)))),
% 16.44/11.66 inference(quant_inst,[status(thm)],[])).
% 16.44/11.66 tff(23226,plain,
% 16.44/11.66 (v109(constB163) <=> (v110(constB163) | v117(constB163))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23225, 2423])).
% 16.44/11.66 tff(23227,plain,
% 16.44/11.66 ((v110(constB163) | v117(constB163)) | (~v117(constB163))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23228,plain,
% 16.44/11.66 (v110(constB163) | v117(constB163)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23227, 23172])).
% 16.44/11.66 tff(23229,plain,
% 16.44/11.66 ((~(v109(constB163) <=> (v110(constB163) | v117(constB163)))) | v109(constB163) | (~(v110(constB163) | v117(constB163)))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23230,plain,
% 16.44/11.66 (v109(constB163)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23229, 23228, 23226])).
% 16.44/11.66 tff(23231,plain,
% 16.44/11.66 ((v109(constB163) | v118(constB163)) | (~v109(constB163))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23232,plain,
% 16.44/11.66 (v109(constB163) | v118(constB163)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23231, 23230])).
% 16.44/11.66 tff(23233,plain,
% 16.44/11.66 ((~(v108(constB163) <=> (v109(constB163) | v118(constB163)))) | v108(constB163) | (~(v109(constB163) | v118(constB163)))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23234,plain,
% 16.44/11.66 (v108(constB163)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23233, 23232, 23224])).
% 16.44/11.66 tff(23235,plain,
% 16.44/11.66 ((v108(constB163) | v119(constB163)) | (~v108(constB163))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23236,plain,
% 16.44/11.66 (v108(constB163) | v119(constB163)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23235, 23234])).
% 16.44/11.66 tff(23237,plain,
% 16.44/11.66 ((~(v107(constB163) <=> (v108(constB163) | v119(constB163)))) | v107(constB163) | (~(v108(constB163) | v119(constB163)))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23238,plain,
% 16.44/11.66 (v107(constB163)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23237, 23236, 23222])).
% 16.44/11.66 tff(23239,plain,
% 16.44/11.66 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB163)) <=> v105(constB163))),
% 16.44/11.66 inference(quant_inst,[status(thm)],[])).
% 16.44/11.66 tff(23240,plain,
% 16.44/11.66 ((~v120(constB163)) <=> v105(constB163)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23239, 2484])).
% 16.44/11.66 tff(23241,plain,
% 16.44/11.66 ((~((~v120(constB163)) <=> v105(constB163))) | v120(constB163) | v105(constB163)),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23242,plain,
% 16.44/11.66 ((~((~v120(constB163)) <=> v105(constB163))) | v120(constB163)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23241, 22920])).
% 16.44/11.66 tff(23243,plain,
% 16.44/11.66 (v120(constB163)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23242, 23240])).
% 16.44/11.66 tff(23244,plain,
% 16.44/11.66 ((~((~v107(constB163)) | (~v120(constB163)))) | (~v107(constB163)) | (~v120(constB163))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23245,plain,
% 16.44/11.66 ((~((~v107(constB163)) | (~v120(constB163)))) | (~v107(constB163))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23244, 23243])).
% 16.44/11.66 tff(23246,plain,
% 16.44/11.66 (~((~v107(constB163)) | (~v120(constB163)))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23245, 23238])).
% 16.44/11.66 tff(23247,plain,
% 16.44/11.66 ((~(v106(constB163) <=> (~((~v107(constB163)) | (~v120(constB163)))))) | v106(constB163) | ((~v107(constB163)) | (~v120(constB163)))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23248,plain,
% 16.44/11.66 (v106(constB163)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23247, 23246, 23220])).
% 16.44/11.66 tff(23249,plain,
% 16.44/11.66 ((v105(constB163) | v106(constB163)) | (~v106(constB163))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23250,plain,
% 16.44/11.66 (v105(constB163) | v106(constB163)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23249, 23248])).
% 16.44/11.66 tff(23251,plain,
% 16.44/11.66 ((~(v102(constB163) <=> (v105(constB163) | v106(constB163)))) | v102(constB163) | (~(v105(constB163) | v106(constB163)))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23252,plain,
% 16.44/11.66 (v102(constB163)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23251, 23250, 23218])).
% 16.44/11.66 tff(23253,plain,
% 16.44/11.66 ((~(v104(constB164) <=> v102(constB163))) | v104(constB164) | (~v102(constB163))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23254,plain,
% 16.44/11.66 (v104(constB164)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23253, 23252, 23216])).
% 16.44/11.66 tff(23255,plain,
% 16.44/11.66 ((~((~v95(constB164)) | (~v104(constB164)))) | (~v95(constB164)) | (~v104(constB164))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23256,plain,
% 16.44/11.66 (~((~v95(constB164)) | (~v104(constB164)))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23255, 23254, 23212])).
% 16.44/11.66 tff(23257,plain,
% 16.44/11.66 ((~(v94(constB164) <=> (~((~v95(constB164)) | (~v104(constB164)))))) | v94(constB164) | ((~v95(constB164)) | (~v104(constB164)))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23258,plain,
% 16.44/11.66 (v94(constB164)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23257, 23256, 23187])).
% 16.44/11.66 tff(23259,plain,
% 16.44/11.66 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB164)) | (~(((~v84(constB164, 2)) <=> v123(constB164, 2)) | ((~v84(constB164, 1)) <=> v123(constB164, 1)) | ((~v84(constB164, 0)) <=> v123(constB164, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB164)) | (~(((~v84(constB164, 2)) <=> v123(constB164, 2)) | ((~v84(constB164, 1)) <=> v123(constB164, 1)) | ((~v84(constB164, 0)) <=> v123(constB164, 0)))))),
% 16.44/11.66 inference(rewrite,[status(thm)],[])).
% 16.44/11.66 tff(23260,plain,
% 16.44/11.66 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB164)) | (~(((~v84(constB164, 2)) <=> v123(constB164, 2)) | ((~v84(constB164, 1)) <=> v123(constB164, 1)) | ((~v84(constB164, 0)) <=> v123(constB164, 0)))))),
% 16.44/11.66 inference(quant_inst,[status(thm)],[])).
% 16.44/11.66 tff(23261,plain,
% 16.44/11.66 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB164)) | (~(((~v84(constB164, 2)) <=> v123(constB164, 2)) | ((~v84(constB164, 1)) <=> v123(constB164, 1)) | ((~v84(constB164, 0)) <=> v123(constB164, 0))))),
% 16.44/11.66 inference(modus_ponens,[status(thm)],[23260, 23259])).
% 16.44/11.66 tff(23262,plain,
% 16.44/11.66 ((~v94(constB164)) | (~(((~v84(constB164, 2)) <=> v123(constB164, 2)) | ((~v84(constB164, 1)) <=> v123(constB164, 1)) | ((~v84(constB164, 0)) <=> v123(constB164, 0))))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23261, 2517])).
% 16.44/11.66 tff(23263,plain,
% 16.44/11.66 (~(((~v84(constB164, 2)) <=> v123(constB164, 2)) | ((~v84(constB164, 1)) <=> v123(constB164, 1)) | ((~v84(constB164, 0)) <=> v123(constB164, 0)))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23262, 23258])).
% 16.44/11.66 tff(23264,plain,
% 16.44/11.66 ((((~v84(constB164, 2)) <=> v123(constB164, 2)) | ((~v84(constB164, 1)) <=> v123(constB164, 1)) | ((~v84(constB164, 0)) <=> v123(constB164, 0))) | (~((~v84(constB164, 2)) <=> v123(constB164, 2)))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23265,plain,
% 16.44/11.66 (~((~v84(constB164, 2)) <=> v123(constB164, 2))),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23264, 23263])).
% 16.44/11.66 tff(23266,plain,
% 16.44/11.66 (((~v84(constB164, 2)) <=> v123(constB164, 2)) | v84(constB164, 2) | (~v123(constB164, 2))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23267,plain,
% 16.44/11.66 (v84(constB164, 2)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23266, 23265, 23183])).
% 16.44/11.66 tff(23268,plain,
% 16.44/11.66 (((~v84(constB165, 2)) <=> v84(constB164, 2)) | v84(constB165, 2) | (~v84(constB164, 2))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23269,plain,
% 16.44/11.66 (v84(constB165, 2)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23268, 23267, 22907])).
% 16.44/11.66 tff(23270,plain,
% 16.44/11.66 ((v84(constB165, 0) | v84(constB165, 1) | v84(constB165, 2)) | (~v84(constB165, 2))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23271,plain,
% 16.44/11.66 (v84(constB165, 0) | v84(constB165, 1) | v84(constB165, 2)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23270, 23269])).
% 16.44/11.66 tff(23272,plain,
% 16.44/11.66 ((~(v113(constB165) <=> (~(v84(constB165, 0) | v84(constB165, 1) | v84(constB165, 2))))) | (~v113(constB165)) | (~(v84(constB165, 0) | v84(constB165, 1) | v84(constB165, 2)))),
% 16.44/11.66 inference(tautology,[status(thm)],[])).
% 16.44/11.66 tff(23273,plain,
% 16.44/11.66 (~v113(constB165)),
% 16.44/11.66 inference(unit_resolution,[status(thm)],[23272, 23271, 22877])).
% 16.44/11.66 tff(23274,plain,
% 16.44/11.66 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB165) <=> (~(v84(constB165, 1) | (~v84(constB165, 2)) | (~v84(constB165, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB165) <=> (~(v84(constB165, 1) | (~v84(constB165, 2)) | (~v84(constB165, 0))))))),
% 16.44/11.66 inference(rewrite,[status(thm)],[])).
% 16.44/11.66 tff(23275,plain,
% 16.44/11.66 ((v118(constB165) <=> (~(v84(constB165, 1) | (~v84(constB165, 0)) | (~v84(constB165, 2))))) <=> (v118(constB165) <=> (~(v84(constB165, 1) | (~v84(constB165, 2)) | (~v84(constB165, 0)))))),
% 16.44/11.66 inference(rewrite,[status(thm)],[])).
% 16.44/11.66 tff(23276,plain,
% 16.44/11.66 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB165) <=> (~(v84(constB165, 1) | (~v84(constB165, 0)) | (~v84(constB165, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB165) <=> (~(v84(constB165, 1) | (~v84(constB165, 2)) | (~v84(constB165, 0))))))),
% 16.44/11.67 inference(monotonicity,[status(thm)],[23275])).
% 16.44/11.67 tff(23277,plain,
% 16.44/11.67 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB165) <=> (~(v84(constB165, 1) | (~v84(constB165, 0)) | (~v84(constB165, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB165) <=> (~(v84(constB165, 1) | (~v84(constB165, 2)) | (~v84(constB165, 0))))))),
% 16.44/11.67 inference(transitivity,[status(thm)],[23276, 23274])).
% 16.44/11.67 tff(23278,plain,
% 16.44/11.67 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB165) <=> (~(v84(constB165, 1) | (~v84(constB165, 0)) | (~v84(constB165, 2)))))),
% 16.44/11.67 inference(quant_inst,[status(thm)],[])).
% 16.44/11.67 tff(23279,plain,
% 16.44/11.67 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB165) <=> (~(v84(constB165, 1) | (~v84(constB165, 2)) | (~v84(constB165, 0)))))),
% 16.44/11.67 inference(modus_ponens,[status(thm)],[23278, 23277])).
% 16.44/11.67 tff(23280,plain,
% 16.44/11.67 (v118(constB165) <=> (~(v84(constB165, 1) | (~v84(constB165, 2)) | (~v84(constB165, 0))))),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23279, 2701])).
% 16.44/11.67 tff(23281,plain,
% 16.44/11.67 ((((~v84(constB165, 1)) <=> v84(constB164, 1)) | ((~v84(constB165, 2)) <=> v84(constB164, 2)) | ((~v84(constB165, 0)) <=> v84(constB164, 0))) | (~((~v84(constB165, 1)) <=> v84(constB164, 1)))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23282,plain,
% 16.44/11.67 (~((~v84(constB165, 1)) <=> v84(constB164, 1))),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23281, 22905])).
% 16.44/11.67 tff(23283,plain,
% 16.44/11.67 ((((~v123(constB164, 2)) <=> v121(constB163, 2)) | ((~v123(constB164, 1)) <=> v121(constB163, 1)) | ((~v123(constB164, 0)) <=> v121(constB163, 0))) | (~((~v123(constB164, 1)) <=> v121(constB163, 1)))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23284,plain,
% 16.44/11.67 (~((~v123(constB164, 1)) <=> v121(constB163, 1))),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23283, 22911])).
% 16.44/11.67 tff(23285,plain,
% 16.44/11.67 ((((~v121(constB163, 2)) <=> v124(constB163, 2)) | ((~v121(constB163, 0)) <=> v124(constB163, 0)) | ((~v121(constB163, 1)) <=> v124(constB163, 1))) | (~((~v121(constB163, 1)) <=> v124(constB163, 1)))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23286,plain,
% 16.44/11.67 (~((~v121(constB163, 1)) <=> v124(constB163, 1))),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23285, 22925])).
% 16.44/11.67 tff(23287,plain,
% 16.44/11.67 ((v124(constB163, 0) | (~v124(constB163, 2)) | (~v124(constB163, 1))) | v124(constB163, 1)),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23288,plain,
% 16.44/11.67 (v124(constB163, 1)),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23287, 23177])).
% 16.44/11.67 tff(23289,plain,
% 16.44/11.67 (((~v121(constB163, 1)) <=> v124(constB163, 1)) | v121(constB163, 1) | (~v124(constB163, 1))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23290,plain,
% 16.44/11.67 (v121(constB163, 1)),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23289, 23288, 23286])).
% 16.44/11.67 tff(23291,plain,
% 16.44/11.67 (((~v123(constB164, 1)) <=> v121(constB163, 1)) | v123(constB164, 1) | (~v121(constB163, 1))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23292,plain,
% 16.44/11.67 (v123(constB164, 1)),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23291, 23290, 23284])).
% 16.44/11.67 tff(23293,plain,
% 16.44/11.67 ((((~v84(constB164, 2)) <=> v123(constB164, 2)) | ((~v84(constB164, 1)) <=> v123(constB164, 1)) | ((~v84(constB164, 0)) <=> v123(constB164, 0))) | (~((~v84(constB164, 1)) <=> v123(constB164, 1)))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23294,plain,
% 16.44/11.67 (~((~v84(constB164, 1)) <=> v123(constB164, 1))),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23293, 23263])).
% 16.44/11.67 tff(23295,plain,
% 16.44/11.67 (((~v84(constB164, 1)) <=> v123(constB164, 1)) | v84(constB164, 1) | (~v123(constB164, 1))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23296,plain,
% 16.44/11.67 (v84(constB164, 1)),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23295, 23294, 23292])).
% 16.44/11.67 tff(23297,plain,
% 16.44/11.67 (((~v84(constB165, 1)) <=> v84(constB164, 1)) | v84(constB165, 1) | (~v84(constB164, 1))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23298,plain,
% 16.44/11.67 (v84(constB165, 1)),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23297, 23296, 23282])).
% 16.44/11.67 tff(23299,plain,
% 16.44/11.67 ((v84(constB165, 1) | (~v84(constB165, 2)) | (~v84(constB165, 0))) | (~v84(constB165, 1))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23300,plain,
% 16.44/11.67 (v84(constB165, 1) | (~v84(constB165, 2)) | (~v84(constB165, 0))),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23299, 23298])).
% 16.44/11.67 tff(23301,plain,
% 16.44/11.67 ((~(v118(constB165) <=> (~(v84(constB165, 1) | (~v84(constB165, 2)) | (~v84(constB165, 0)))))) | (~v118(constB165)) | (~(v84(constB165, 1) | (~v84(constB165, 2)) | (~v84(constB165, 0))))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23302,plain,
% 16.44/11.67 (~v118(constB165)),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23301, 23300, 23280])).
% 16.44/11.67 tff(23303,plain,
% 16.44/11.67 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB165) <=> (~(v84(constB165, 1) | v84(constB165, 0) | (~v84(constB165, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB165) <=> (~(v84(constB165, 1) | v84(constB165, 0) | (~v84(constB165, 2))))))),
% 16.44/11.67 inference(rewrite,[status(thm)],[])).
% 16.44/11.67 tff(23304,plain,
% 16.44/11.67 ((v117(constB165) <=> (~(v84(constB165, 0) | v84(constB165, 1) | (~v84(constB165, 2))))) <=> (v117(constB165) <=> (~(v84(constB165, 1) | v84(constB165, 0) | (~v84(constB165, 2)))))),
% 16.44/11.67 inference(rewrite,[status(thm)],[])).
% 16.44/11.67 tff(23305,plain,
% 16.44/11.67 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB165) <=> (~(v84(constB165, 0) | v84(constB165, 1) | (~v84(constB165, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB165) <=> (~(v84(constB165, 1) | v84(constB165, 0) | (~v84(constB165, 2))))))),
% 16.44/11.67 inference(monotonicity,[status(thm)],[23304])).
% 16.44/11.67 tff(23306,plain,
% 16.44/11.67 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB165) <=> (~(v84(constB165, 0) | v84(constB165, 1) | (~v84(constB165, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB165) <=> (~(v84(constB165, 1) | v84(constB165, 0) | (~v84(constB165, 2))))))),
% 16.44/11.67 inference(transitivity,[status(thm)],[23305, 23303])).
% 16.44/11.67 tff(23307,plain,
% 16.44/11.67 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB165) <=> (~(v84(constB165, 0) | v84(constB165, 1) | (~v84(constB165, 2)))))),
% 16.44/11.67 inference(quant_inst,[status(thm)],[])).
% 16.44/11.67 tff(23308,plain,
% 16.44/11.67 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB165) <=> (~(v84(constB165, 1) | v84(constB165, 0) | (~v84(constB165, 2)))))),
% 16.44/11.67 inference(modus_ponens,[status(thm)],[23307, 23306])).
% 16.44/11.67 tff(23309,plain,
% 16.44/11.67 (v117(constB165) <=> (~(v84(constB165, 1) | v84(constB165, 0) | (~v84(constB165, 2))))),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23308, 1199])).
% 16.44/11.67 tff(23310,plain,
% 16.44/11.67 ((v84(constB165, 1) | v84(constB165, 0) | (~v84(constB165, 2))) | (~v84(constB165, 1))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23311,plain,
% 16.44/11.67 (v84(constB165, 1) | v84(constB165, 0) | (~v84(constB165, 2))),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23310, 23298])).
% 16.44/11.67 tff(23312,plain,
% 16.44/11.67 ((~(v117(constB165) <=> (~(v84(constB165, 1) | v84(constB165, 0) | (~v84(constB165, 2)))))) | (~v117(constB165)) | (~(v84(constB165, 1) | v84(constB165, 0) | (~v84(constB165, 2))))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23313,plain,
% 16.44/11.67 (~v117(constB165)),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23312, 23311, 23309])).
% 16.44/11.67 tff(23314,plain,
% 16.44/11.67 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB165) <=> (~(v84(constB165, 2) | (~v84(constB165, 1)) | (~v84(constB165, 0)))))),
% 16.44/11.67 inference(quant_inst,[status(thm)],[])).
% 16.44/11.67 tff(23315,plain,
% 16.44/11.67 (v116(constB165) <=> (~(v84(constB165, 2) | (~v84(constB165, 1)) | (~v84(constB165, 0))))),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23314, 911])).
% 16.44/11.67 tff(23316,plain,
% 16.44/11.67 ((v84(constB165, 2) | (~v84(constB165, 1)) | (~v84(constB165, 0))) | (~v84(constB165, 2))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23317,plain,
% 16.44/11.67 (v84(constB165, 2) | (~v84(constB165, 1)) | (~v84(constB165, 0))),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23316, 23269])).
% 16.44/11.67 tff(23318,plain,
% 16.44/11.67 ((~(v116(constB165) <=> (~(v84(constB165, 2) | (~v84(constB165, 1)) | (~v84(constB165, 0)))))) | (~v116(constB165)) | (~(v84(constB165, 2) | (~v84(constB165, 1)) | (~v84(constB165, 0))))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23319,plain,
% 16.44/11.67 (~v116(constB165)),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23318, 23317, 23315])).
% 16.44/11.67 tff(23320,plain,
% 16.44/11.67 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB165) <=> (~(v84(constB165, 2) | v84(constB165, 0) | (~v84(constB165, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB165) <=> (~(v84(constB165, 2) | v84(constB165, 0) | (~v84(constB165, 1))))))),
% 16.44/11.67 inference(rewrite,[status(thm)],[])).
% 16.44/11.67 tff(23321,plain,
% 16.44/11.67 ((v115(constB165) <=> (~(v84(constB165, 0) | v84(constB165, 2) | (~v84(constB165, 1))))) <=> (v115(constB165) <=> (~(v84(constB165, 2) | v84(constB165, 0) | (~v84(constB165, 1)))))),
% 16.44/11.67 inference(rewrite,[status(thm)],[])).
% 16.44/11.67 tff(23322,plain,
% 16.44/11.67 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB165) <=> (~(v84(constB165, 0) | v84(constB165, 2) | (~v84(constB165, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB165) <=> (~(v84(constB165, 2) | v84(constB165, 0) | (~v84(constB165, 1))))))),
% 16.44/11.67 inference(monotonicity,[status(thm)],[23321])).
% 16.44/11.67 tff(23323,plain,
% 16.44/11.67 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB165) <=> (~(v84(constB165, 0) | v84(constB165, 2) | (~v84(constB165, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB165) <=> (~(v84(constB165, 2) | v84(constB165, 0) | (~v84(constB165, 1))))))),
% 16.44/11.67 inference(transitivity,[status(thm)],[23322, 23320])).
% 16.44/11.67 tff(23324,plain,
% 16.44/11.67 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB165) <=> (~(v84(constB165, 0) | v84(constB165, 2) | (~v84(constB165, 1)))))),
% 16.44/11.67 inference(quant_inst,[status(thm)],[])).
% 16.44/11.67 tff(23325,plain,
% 16.44/11.67 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB165) <=> (~(v84(constB165, 2) | v84(constB165, 0) | (~v84(constB165, 1)))))),
% 16.44/11.67 inference(modus_ponens,[status(thm)],[23324, 23323])).
% 16.44/11.67 tff(23326,plain,
% 16.44/11.67 (v115(constB165) <=> (~(v84(constB165, 2) | v84(constB165, 0) | (~v84(constB165, 1))))),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23325, 985])).
% 16.44/11.67 tff(23327,plain,
% 16.44/11.67 ((v84(constB165, 2) | v84(constB165, 0) | (~v84(constB165, 1))) | (~v84(constB165, 2))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23328,plain,
% 16.44/11.67 (v84(constB165, 2) | v84(constB165, 0) | (~v84(constB165, 1))),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23327, 23269])).
% 16.44/11.67 tff(23329,plain,
% 16.44/11.67 ((~(v115(constB165) <=> (~(v84(constB165, 2) | v84(constB165, 0) | (~v84(constB165, 1)))))) | (~v115(constB165)) | (~(v84(constB165, 2) | v84(constB165, 0) | (~v84(constB165, 1))))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23330,plain,
% 16.44/11.67 (~v115(constB165)),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23329, 23328, 23326])).
% 16.44/11.67 tff(23331,plain,
% 16.44/11.67 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB165) <=> (~(v84(constB165, 1) | v84(constB165, 2) | (~v84(constB165, 0)))))),
% 16.44/11.67 inference(quant_inst,[status(thm)],[])).
% 16.44/11.67 tff(23332,plain,
% 16.44/11.67 (v114(constB165) <=> (~(v84(constB165, 1) | v84(constB165, 2) | (~v84(constB165, 0))))),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23331, 1064])).
% 16.44/11.67 tff(23333,plain,
% 16.44/11.67 ((v84(constB165, 1) | v84(constB165, 2) | (~v84(constB165, 0))) | (~v84(constB165, 2))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23334,plain,
% 16.44/11.67 (v84(constB165, 1) | v84(constB165, 2) | (~v84(constB165, 0))),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23333, 23269])).
% 16.44/11.67 tff(23335,plain,
% 16.44/11.67 ((~(v114(constB165) <=> (~(v84(constB165, 1) | v84(constB165, 2) | (~v84(constB165, 0)))))) | (~v114(constB165)) | (~(v84(constB165, 1) | v84(constB165, 2) | (~v84(constB165, 0))))),
% 16.44/11.67 inference(tautology,[status(thm)],[])).
% 16.44/11.67 tff(23336,plain,
% 16.44/11.67 (~v114(constB165)),
% 16.44/11.67 inference(unit_resolution,[status(thm)],[23335, 23334, 23332])).
% 16.44/11.67 tff(23337,plain,
% 16.44/11.67 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB165) | v114(constB165) | v115(constB165) | v116(constB165) | v117(constB165) | v118(constB165) | (~(v124(constB165, 2) | v124(constB165, 1) | (~v124(constB165, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB165) | v114(constB165) | v115(constB165) | v116(constB165) | v117(constB165) | v118(constB165) | (~(v124(constB165, 2) | v124(constB165, 1) | (~v124(constB165, 0)))))),
% 16.44/11.67 inference(rewrite,[status(thm)],[])).
% 16.44/11.67 tff(23338,plain,
% 16.44/11.67 ((v118(constB165) | v117(constB165) | v116(constB165) | v115(constB165) | v114(constB165) | v113(constB165) | (~(v124(constB165, 2) | v124(constB165, 1) | (~v124(constB165, 0))))) <=> (v113(constB165) | v114(constB165) | v115(constB165) | v116(constB165) | v117(constB165) | v118(constB165) | (~(v124(constB165, 2) | v124(constB165, 1) | (~v124(constB165, 0)))))),
% 16.44/11.67 inference(rewrite,[status(thm)],[])).
% 16.44/11.67 tff(23339,plain,
% 16.44/11.67 ((~(v124(constB165, 1) | v124(constB165, 2) | (~v124(constB165, 0)))) <=> (~(v124(constB165, 2) | v124(constB165, 1) | (~v124(constB165, 0))))),
% 16.44/11.67 inference(rewrite,[status(thm)],[])).
% 16.44/11.67 tff(23340,plain,
% 16.44/11.67 ((v118(constB165) | v117(constB165) | v116(constB165) | v115(constB165) | v114(constB165) | v113(constB165) | (~(v124(constB165, 1) | v124(constB165, 2) | (~v124(constB165, 0))))) <=> (v118(constB165) | v117(constB165) | v116(constB165) | v115(constB165) | v114(constB165) | v113(constB165) | (~(v124(constB165, 2) | v124(constB165, 1) | (~v124(constB165, 0)))))),
% 16.44/11.67 inference(monotonicity,[status(thm)],[23339])).
% 16.44/11.67 tff(23341,plain,
% 16.44/11.67 ((v118(constB165) | v117(constB165) | v116(constB165) | v115(constB165) | v114(constB165) | v113(constB165) | (~(v124(constB165, 1) | v124(constB165, 2) | (~v124(constB165, 0))))) <=> (v113(constB165) | v114(constB165) | v115(constB165) | v116(constB165) | v117(constB165) | v118(constB165) | (~(v124(constB165, 2) | v124(constB165, 1) | (~v124(constB165, 0)))))),
% 16.44/11.67 inference(transitivity,[status(thm)],[23340, 23338])).
% 16.44/11.67 tff(23342,plain,
% 16.44/11.67 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB165) | v117(constB165) | v116(constB165) | v115(constB165) | v114(constB165) | v113(constB165) | (~(v124(constB165, 1) | v124(constB165, 2) | (~v124(constB165, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB165) | v114(constB165) | v115(constB165) | v116(constB165) | v117(constB165) | v118(constB165) | (~(v124(constB165, 2) | v124(constB165, 1) | (~v124(constB165, 0))))))),
% 16.44/11.68 inference(monotonicity,[status(thm)],[23341])).
% 16.44/11.68 tff(23343,plain,
% 16.44/11.68 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB165) | v117(constB165) | v116(constB165) | v115(constB165) | v114(constB165) | v113(constB165) | (~(v124(constB165, 1) | v124(constB165, 2) | (~v124(constB165, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB165) | v114(constB165) | v115(constB165) | v116(constB165) | v117(constB165) | v118(constB165) | (~(v124(constB165, 2) | v124(constB165, 1) | (~v124(constB165, 0)))))),
% 16.44/11.68 inference(transitivity,[status(thm)],[23342, 23337])).
% 16.44/11.68 tff(23344,plain,
% 16.44/11.68 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB165) | v117(constB165) | v116(constB165) | v115(constB165) | v114(constB165) | v113(constB165) | (~(v124(constB165, 1) | v124(constB165, 2) | (~v124(constB165, 0)))))),
% 16.44/11.68 inference(quant_inst,[status(thm)],[])).
% 16.44/11.68 tff(23345,plain,
% 16.44/11.68 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB165) | v114(constB165) | v115(constB165) | v116(constB165) | v117(constB165) | v118(constB165) | (~(v124(constB165, 2) | v124(constB165, 1) | (~v124(constB165, 0))))),
% 16.44/11.68 inference(modus_ponens,[status(thm)],[23344, 23343])).
% 16.44/11.68 tff(23346,plain,
% 16.44/11.68 (v113(constB165) | v114(constB165) | v115(constB165) | v116(constB165) | v117(constB165) | v118(constB165) | (~(v124(constB165, 2) | v124(constB165, 1) | (~v124(constB165, 0))))),
% 16.44/11.68 inference(unit_resolution,[status(thm)],[23345, 2777])).
% 16.44/11.68 tff(23347,plain,
% 16.44/11.68 (~(v124(constB165, 2) | v124(constB165, 1) | (~v124(constB165, 0)))),
% 16.44/11.68 inference(unit_resolution,[status(thm)],[23346, 23336, 23330, 23319, 23313, 23302, 23273])).
% 16.44/11.68 tff(23348,plain,
% 16.44/11.68 ((v124(constB165, 2) | v124(constB165, 1) | (~v124(constB165, 0))) | (~v124(constB165, 2))),
% 16.44/11.68 inference(tautology,[status(thm)],[])).
% 16.44/11.68 tff(23349,plain,
% 16.44/11.68 (~v124(constB165, 2)),
% 16.44/11.68 inference(unit_resolution,[status(thm)],[23348, 23347])).
% 16.44/11.68 tff(23350,plain,
% 16.44/11.68 (((~v121(constB165, 2)) <=> v124(constB165, 2)) | (~v121(constB165, 2)) | v124(constB165, 2)),
% 16.44/11.68 inference(tautology,[status(thm)],[])).
% 16.44/11.68 tff(23351,plain,
% 16.44/11.68 (~v121(constB165, 2)),
% 16.44/11.68 inference(unit_resolution,[status(thm)],[23350, 23349, 22875])).
% 16.44/11.68 tff(23352,plain,
% 16.44/11.68 (((~v123(constB166, 2)) <=> v121(constB165, 2)) | (~v123(constB166, 2)) | v121(constB165, 2)),
% 16.44/11.68 inference(tautology,[status(thm)],[])).
% 16.44/11.68 tff(23353,plain,
% 16.44/11.68 (~v123(constB166, 2)),
% 16.44/11.68 inference(unit_resolution,[status(thm)],[23352, 23351, 22861])).
% 16.44/11.68 tff(23354,plain,
% 16.44/11.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB165, constB166)) | (v94(constB166) <=> (~((~v95(constB166)) | (~v104(constB166))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB165, constB166)) | (v94(constB166) <=> (~((~v95(constB166)) | (~v104(constB166))))))),
% 16.44/11.68 inference(rewrite,[status(thm)],[])).
% 16.44/11.68 tff(23355,plain,
% 16.44/11.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB165, constB166)) | (v94(constB166) <=> (~((~v95(constB166)) | (~v104(constB166))))))),
% 16.44/11.68 inference(quant_inst,[status(thm)],[])).
% 16.44/11.68 tff(23356,plain,
% 16.44/11.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB165, constB166)) | (v94(constB166) <=> (~((~v95(constB166)) | (~v104(constB166)))))),
% 16.44/11.68 inference(modus_ponens,[status(thm)],[23355, 23354])).
% 16.44/11.68 tff(23357,plain,
% 16.44/11.68 (v94(constB166) <=> (~((~v95(constB166)) | (~v104(constB166))))),
% 16.44/11.68 inference(unit_resolution,[status(thm)],[23356, 14311, 770])).
% 16.44/11.68 tff(23358,plain,
% 16.44/11.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166))))))),
% 16.44/11.68 inference(rewrite,[status(thm)],[])).
% 16.44/11.68 tff(23359,plain,
% 16.44/11.68 (((~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v96(constB166)) | (~v1(constB166)))))) <=> ((~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166))))))),
% 16.44/11.68 inference(rewrite,[status(thm)],[])).
% 16.44/11.68 tff(23360,plain,
% 16.44/11.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v96(constB166)) | (~v1(constB166))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166)))))))),
% 16.44/11.68 inference(monotonicity,[status(thm)],[23359])).
% 16.44/11.68 tff(23361,plain,
% 16.44/11.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v96(constB166)) | (~v1(constB166))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166))))))),
% 16.44/11.68 inference(transitivity,[status(thm)],[23360, 23358])).
% 16.44/11.68 tff(23362,plain,
% 16.44/11.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v96(constB166)) | (~v1(constB166))))))),
% 16.44/11.68 inference(quant_inst,[status(thm)],[])).
% 16.44/11.68 tff(23363,plain,
% 16.44/11.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166)))))),
% 16.44/11.68 inference(modus_ponens,[status(thm)],[23362, 23361])).
% 16.44/11.68 tff(23364,plain,
% 16.44/11.68 (v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166))))),
% 16.44/11.68 inference(unit_resolution,[status(thm)],[23363, 14311, 790])).
% 16.44/11.68 tff(23365,plain,
% 16.44/11.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB165, constB166)) | ((~v96(constB166)) <=> v98(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB165, constB166)) | ((~v96(constB166)) <=> v98(constB166)))),
% 16.44/11.68 inference(rewrite,[status(thm)],[])).
% 16.44/11.68 tff(23366,plain,
% 16.44/11.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB165, constB166)) | ((~v96(constB166)) <=> v98(constB166)))),
% 16.44/11.68 inference(quant_inst,[status(thm)],[])).
% 16.44/11.68 tff(23367,plain,
% 16.44/11.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB165, constB166)) | ((~v96(constB166)) <=> v98(constB166))),
% 16.54/11.68 inference(modus_ponens,[status(thm)],[23366, 23365])).
% 16.54/11.68 tff(23368,plain,
% 16.54/11.68 ((~v96(constB166)) <=> v98(constB166)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23367, 14311, 2332])).
% 16.54/11.68 tff(23369,plain,
% 16.54/11.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB165, constB166)) | (v98(constB166) <=> v1(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB165, constB166)) | (v98(constB166) <=> v1(constB165)))),
% 16.54/11.68 inference(rewrite,[status(thm)],[])).
% 16.54/11.68 tff(23370,plain,
% 16.54/11.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB165, constB166)) | (v98(constB166) <=> v1(constB165)))),
% 16.54/11.68 inference(quant_inst,[status(thm)],[])).
% 16.54/11.68 tff(23371,plain,
% 16.54/11.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB165, constB166)) | (v98(constB166) <=> v1(constB165))),
% 16.54/11.68 inference(modus_ponens,[status(thm)],[23370, 23369])).
% 16.54/11.68 tff(23372,plain,
% 16.54/11.68 (v98(constB166) <=> v1(constB165)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23371, 14311, 2346])).
% 16.54/11.68 tff(23373,plain,
% 16.54/11.68 ((~(v98(constB166) <=> v1(constB165))) | (~v98(constB166)) | v1(constB165)),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23374,plain,
% 16.54/11.68 ((~(v98(constB166) <=> v1(constB165))) | (~v98(constB166))),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23373, 14375])).
% 16.54/11.68 tff(23375,plain,
% 16.54/11.68 (~v98(constB166)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23374, 23372])).
% 16.54/11.68 tff(23376,plain,
% 16.54/11.68 ((~((~v96(constB166)) <=> v98(constB166))) | v96(constB166) | v98(constB166)),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23377,plain,
% 16.54/11.68 (v96(constB166)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23376, 23375, 23368])).
% 16.54/11.68 tff(23378,plain,
% 16.54/11.68 ((~((~v1(constB166)) | (~v96(constB166)))) | (~v1(constB166)) | (~v96(constB166))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23379,plain,
% 16.54/11.68 ((~((~v1(constB166)) | (~v96(constB166)))) | (~v96(constB166))),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23378, 14282])).
% 16.54/11.68 tff(23380,plain,
% 16.54/11.68 (~((~v1(constB166)) | (~v96(constB166)))),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23379, 23377])).
% 16.54/11.68 tff(23381,plain,
% 16.54/11.68 ((~(v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166)))))) | v95(constB166) | ((~v1(constB166)) | (~v96(constB166)))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23382,plain,
% 16.54/11.68 (v95(constB166)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23381, 23380, 23364])).
% 16.54/11.68 tff(23383,plain,
% 16.54/11.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB165, constB166)) | (v104(constB166) <=> v102(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB165, constB166)) | (v104(constB166) <=> v102(constB165)))),
% 16.54/11.68 inference(rewrite,[status(thm)],[])).
% 16.54/11.68 tff(23384,plain,
% 16.54/11.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB165, constB166)) | (v104(constB166) <=> v102(constB165)))),
% 16.54/11.68 inference(quant_inst,[status(thm)],[])).
% 16.54/11.68 tff(23385,plain,
% 16.54/11.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB165, constB166)) | (v104(constB166) <=> v102(constB165))),
% 16.54/11.68 inference(modus_ponens,[status(thm)],[23384, 23383])).
% 16.54/11.68 tff(23386,plain,
% 16.54/11.68 (v104(constB166) <=> v102(constB165)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23385, 14311, 2373])).
% 16.54/11.68 tff(23387,plain,
% 16.54/11.68 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB165) <=> (v105(constB165) | v106(constB165)))),
% 16.54/11.68 inference(quant_inst,[status(thm)],[])).
% 16.54/11.68 tff(23388,plain,
% 16.54/11.68 (v102(constB165) <=> (v105(constB165) | v106(constB165))),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23387, 2384])).
% 16.54/11.68 tff(23389,plain,
% 16.54/11.68 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB165) <=> (~((~v107(constB165)) | (~v120(constB165)))))),
% 16.54/11.68 inference(quant_inst,[status(thm)],[])).
% 16.54/11.68 tff(23390,plain,
% 16.54/11.68 (v106(constB165) <=> (~((~v107(constB165)) | (~v120(constB165))))),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23389, 2396])).
% 16.54/11.68 tff(23391,plain,
% 16.54/11.68 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB165) <=> (v108(constB165) | v119(constB165)))),
% 16.54/11.68 inference(quant_inst,[status(thm)],[])).
% 16.54/11.68 tff(23392,plain,
% 16.54/11.68 (v107(constB165) <=> (v108(constB165) | v119(constB165))),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23391, 2405])).
% 16.54/11.68 tff(23393,plain,
% 16.54/11.68 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB165) <=> (~(v84(constB165, 0) | (~v84(constB165, 1)) | (~v84(constB165, 2)))))),
% 16.54/11.68 inference(quant_inst,[status(thm)],[])).
% 16.54/11.68 tff(23394,plain,
% 16.54/11.68 (v119(constB165) <=> (~(v84(constB165, 0) | (~v84(constB165, 1)) | (~v84(constB165, 2))))),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23393, 2849])).
% 16.54/11.68 tff(23395,plain,
% 16.54/11.68 ((((~v84(constB165, 1)) <=> v84(constB164, 1)) | ((~v84(constB165, 2)) <=> v84(constB164, 2)) | ((~v84(constB165, 0)) <=> v84(constB164, 0))) | (~((~v84(constB165, 0)) <=> v84(constB164, 0)))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23396,plain,
% 16.54/11.68 (~((~v84(constB165, 0)) <=> v84(constB164, 0))),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23395, 22905])).
% 16.54/11.68 tff(23397,plain,
% 16.54/11.68 ((((~v123(constB164, 2)) <=> v121(constB163, 2)) | ((~v123(constB164, 1)) <=> v121(constB163, 1)) | ((~v123(constB164, 0)) <=> v121(constB163, 0))) | (~((~v123(constB164, 0)) <=> v121(constB163, 0)))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23398,plain,
% 16.54/11.68 (~((~v123(constB164, 0)) <=> v121(constB163, 0))),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23397, 22911])).
% 16.54/11.68 tff(23399,plain,
% 16.54/11.68 ((((~v121(constB163, 2)) <=> v124(constB163, 2)) | ((~v121(constB163, 0)) <=> v124(constB163, 0)) | ((~v121(constB163, 1)) <=> v124(constB163, 1))) | (~((~v121(constB163, 0)) <=> v124(constB163, 0)))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23400,plain,
% 16.54/11.68 (~((~v121(constB163, 0)) <=> v124(constB163, 0))),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23399, 22925])).
% 16.54/11.68 tff(23401,plain,
% 16.54/11.68 ((v124(constB163, 0) | (~v124(constB163, 2)) | (~v124(constB163, 1))) | (~v124(constB163, 0))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23402,plain,
% 16.54/11.68 (~v124(constB163, 0)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23401, 23177])).
% 16.54/11.68 tff(23403,plain,
% 16.54/11.68 (((~v121(constB163, 0)) <=> v124(constB163, 0)) | (~v121(constB163, 0)) | v124(constB163, 0)),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23404,plain,
% 16.54/11.68 (~v121(constB163, 0)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23403, 23402, 23400])).
% 16.54/11.68 tff(23405,plain,
% 16.54/11.68 (((~v123(constB164, 0)) <=> v121(constB163, 0)) | (~v123(constB164, 0)) | v121(constB163, 0)),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23406,plain,
% 16.54/11.68 (~v123(constB164, 0)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23405, 23404, 23398])).
% 16.54/11.68 tff(23407,plain,
% 16.54/11.68 ((((~v84(constB164, 2)) <=> v123(constB164, 2)) | ((~v84(constB164, 1)) <=> v123(constB164, 1)) | ((~v84(constB164, 0)) <=> v123(constB164, 0))) | (~((~v84(constB164, 0)) <=> v123(constB164, 0)))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23408,plain,
% 16.54/11.68 (~((~v84(constB164, 0)) <=> v123(constB164, 0))),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23407, 23263])).
% 16.54/11.68 tff(23409,plain,
% 16.54/11.68 (((~v84(constB164, 0)) <=> v123(constB164, 0)) | (~v84(constB164, 0)) | v123(constB164, 0)),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23410,plain,
% 16.54/11.68 (~v84(constB164, 0)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23409, 23408, 23406])).
% 16.54/11.68 tff(23411,plain,
% 16.54/11.68 (((~v84(constB165, 0)) <=> v84(constB164, 0)) | (~v84(constB165, 0)) | v84(constB164, 0)),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23412,plain,
% 16.54/11.68 (~v84(constB165, 0)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23411, 23410, 23396])).
% 16.54/11.68 tff(23413,plain,
% 16.54/11.68 ((~(v84(constB165, 0) | (~v84(constB165, 1)) | (~v84(constB165, 2)))) | v84(constB165, 0) | (~v84(constB165, 1)) | (~v84(constB165, 2))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23414,plain,
% 16.54/11.68 (~(v84(constB165, 0) | (~v84(constB165, 1)) | (~v84(constB165, 2)))),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23413, 23298, 23412, 23269])).
% 16.54/11.68 tff(23415,plain,
% 16.54/11.68 ((~(v119(constB165) <=> (~(v84(constB165, 0) | (~v84(constB165, 1)) | (~v84(constB165, 2)))))) | v119(constB165) | (v84(constB165, 0) | (~v84(constB165, 1)) | (~v84(constB165, 2)))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23416,plain,
% 16.54/11.68 (v119(constB165)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23415, 23414, 23394])).
% 16.54/11.68 tff(23417,plain,
% 16.54/11.68 ((v108(constB165) | v119(constB165)) | (~v119(constB165))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23418,plain,
% 16.54/11.68 (v108(constB165) | v119(constB165)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23417, 23416])).
% 16.54/11.68 tff(23419,plain,
% 16.54/11.68 ((~(v107(constB165) <=> (v108(constB165) | v119(constB165)))) | v107(constB165) | (~(v108(constB165) | v119(constB165)))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23420,plain,
% 16.54/11.68 (v107(constB165)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23419, 23418, 23392])).
% 16.54/11.68 tff(23421,plain,
% 16.54/11.68 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB165)) <=> v105(constB165))),
% 16.54/11.68 inference(quant_inst,[status(thm)],[])).
% 16.54/11.68 tff(23422,plain,
% 16.54/11.68 ((~v120(constB165)) <=> v105(constB165)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23421, 2484])).
% 16.54/11.68 tff(23423,plain,
% 16.54/11.68 ((~((~v120(constB165)) <=> v105(constB165))) | v120(constB165) | v105(constB165)),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23424,plain,
% 16.54/11.68 ((~((~v120(constB165)) <=> v105(constB165))) | v120(constB165)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23423, 22868])).
% 16.54/11.68 tff(23425,plain,
% 16.54/11.68 (v120(constB165)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23424, 23422])).
% 16.54/11.68 tff(23426,plain,
% 16.54/11.68 ((~((~v107(constB165)) | (~v120(constB165)))) | (~v107(constB165)) | (~v120(constB165))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23427,plain,
% 16.54/11.68 ((~((~v107(constB165)) | (~v120(constB165)))) | (~v107(constB165))),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23426, 23425])).
% 16.54/11.68 tff(23428,plain,
% 16.54/11.68 (~((~v107(constB165)) | (~v120(constB165)))),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23427, 23420])).
% 16.54/11.68 tff(23429,plain,
% 16.54/11.68 ((~(v106(constB165) <=> (~((~v107(constB165)) | (~v120(constB165)))))) | v106(constB165) | ((~v107(constB165)) | (~v120(constB165)))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23430,plain,
% 16.54/11.68 (v106(constB165)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23429, 23428, 23390])).
% 16.54/11.68 tff(23431,plain,
% 16.54/11.68 ((v105(constB165) | v106(constB165)) | (~v106(constB165))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23432,plain,
% 16.54/11.68 (v105(constB165) | v106(constB165)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23431, 23430])).
% 16.54/11.68 tff(23433,plain,
% 16.54/11.68 ((~(v102(constB165) <=> (v105(constB165) | v106(constB165)))) | v102(constB165) | (~(v105(constB165) | v106(constB165)))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23434,plain,
% 16.54/11.68 (v102(constB165)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23433, 23432, 23388])).
% 16.54/11.68 tff(23435,plain,
% 16.54/11.68 ((~(v104(constB166) <=> v102(constB165))) | v104(constB166) | (~v102(constB165))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23436,plain,
% 16.54/11.68 (v104(constB166)),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23435, 23434, 23386])).
% 16.54/11.68 tff(23437,plain,
% 16.54/11.68 ((~((~v95(constB166)) | (~v104(constB166)))) | (~v95(constB166)) | (~v104(constB166))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.68 tff(23438,plain,
% 16.54/11.68 (~((~v95(constB166)) | (~v104(constB166)))),
% 16.54/11.68 inference(unit_resolution,[status(thm)],[23437, 23436, 23382])).
% 16.54/11.68 tff(23439,plain,
% 16.54/11.68 ((~(v94(constB166) <=> (~((~v95(constB166)) | (~v104(constB166)))))) | v94(constB166) | ((~v95(constB166)) | (~v104(constB166)))),
% 16.54/11.68 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23440,plain,
% 16.54/11.69 (v94(constB166)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23439, 23438, 23357])).
% 16.54/11.69 tff(23441,plain,
% 16.54/11.69 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB166)) | (~(((~v84(constB166, 0)) <=> v123(constB166, 0)) | ((~v84(constB166, 2)) <=> v123(constB166, 2)) | ((~v84(constB166, 1)) <=> v123(constB166, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB166)) | (~(((~v84(constB166, 0)) <=> v123(constB166, 0)) | ((~v84(constB166, 2)) <=> v123(constB166, 2)) | ((~v84(constB166, 1)) <=> v123(constB166, 1)))))),
% 16.54/11.69 inference(rewrite,[status(thm)],[])).
% 16.54/11.69 tff(23442,plain,
% 16.54/11.69 (((~v94(constB166)) | (~(((~v84(constB166, 2)) <=> v123(constB166, 2)) | ((~v84(constB166, 1)) <=> v123(constB166, 1)) | ((~v84(constB166, 0)) <=> v123(constB166, 0))))) <=> ((~v94(constB166)) | (~(((~v84(constB166, 0)) <=> v123(constB166, 0)) | ((~v84(constB166, 2)) <=> v123(constB166, 2)) | ((~v84(constB166, 1)) <=> v123(constB166, 1)))))),
% 16.54/11.69 inference(rewrite,[status(thm)],[])).
% 16.54/11.69 tff(23443,plain,
% 16.54/11.69 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB166)) | (~(((~v84(constB166, 2)) <=> v123(constB166, 2)) | ((~v84(constB166, 1)) <=> v123(constB166, 1)) | ((~v84(constB166, 0)) <=> v123(constB166, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB166)) | (~(((~v84(constB166, 0)) <=> v123(constB166, 0)) | ((~v84(constB166, 2)) <=> v123(constB166, 2)) | ((~v84(constB166, 1)) <=> v123(constB166, 1))))))),
% 16.54/11.69 inference(monotonicity,[status(thm)],[23442])).
% 16.54/11.69 tff(23444,plain,
% 16.54/11.69 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB166)) | (~(((~v84(constB166, 2)) <=> v123(constB166, 2)) | ((~v84(constB166, 1)) <=> v123(constB166, 1)) | ((~v84(constB166, 0)) <=> v123(constB166, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB166)) | (~(((~v84(constB166, 0)) <=> v123(constB166, 0)) | ((~v84(constB166, 2)) <=> v123(constB166, 2)) | ((~v84(constB166, 1)) <=> v123(constB166, 1)))))),
% 16.54/11.69 inference(transitivity,[status(thm)],[23443, 23441])).
% 16.54/11.69 tff(23445,plain,
% 16.54/11.69 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB166)) | (~(((~v84(constB166, 2)) <=> v123(constB166, 2)) | ((~v84(constB166, 1)) <=> v123(constB166, 1)) | ((~v84(constB166, 0)) <=> v123(constB166, 0)))))),
% 16.54/11.69 inference(quant_inst,[status(thm)],[])).
% 16.54/11.69 tff(23446,plain,
% 16.54/11.69 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB166)) | (~(((~v84(constB166, 0)) <=> v123(constB166, 0)) | ((~v84(constB166, 2)) <=> v123(constB166, 2)) | ((~v84(constB166, 1)) <=> v123(constB166, 1))))),
% 16.54/11.69 inference(modus_ponens,[status(thm)],[23445, 23444])).
% 16.54/11.69 tff(23447,plain,
% 16.54/11.69 ((~v94(constB166)) | (~(((~v84(constB166, 0)) <=> v123(constB166, 0)) | ((~v84(constB166, 2)) <=> v123(constB166, 2)) | ((~v84(constB166, 1)) <=> v123(constB166, 1))))),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23446, 2517])).
% 16.54/11.69 tff(23448,plain,
% 16.54/11.69 (~(((~v84(constB166, 0)) <=> v123(constB166, 0)) | ((~v84(constB166, 2)) <=> v123(constB166, 2)) | ((~v84(constB166, 1)) <=> v123(constB166, 1)))),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23447, 23440])).
% 16.54/11.69 tff(23449,plain,
% 16.54/11.69 ((((~v84(constB166, 0)) <=> v123(constB166, 0)) | ((~v84(constB166, 2)) <=> v123(constB166, 2)) | ((~v84(constB166, 1)) <=> v123(constB166, 1))) | (~((~v84(constB166, 2)) <=> v123(constB166, 2)))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23450,plain,
% 16.54/11.69 (~((~v84(constB166, 2)) <=> v123(constB166, 2))),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23449, 23448])).
% 16.54/11.69 tff(23451,plain,
% 16.54/11.69 (((~v84(constB166, 2)) <=> v123(constB166, 2)) | (~v84(constB166, 2)) | v123(constB166, 2)),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23452,plain,
% 16.54/11.69 (~v84(constB166, 2)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23451, 23450, 23353])).
% 16.54/11.69 tff(23453,plain,
% 16.54/11.69 (((~v84(constB167, 2)) <=> v84(constB166, 2)) | (~v84(constB167, 2)) | v84(constB166, 2)),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23454,plain,
% 16.54/11.69 (~v84(constB167, 2)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23453, 23452, 22855])).
% 16.54/11.69 tff(23455,plain,
% 16.54/11.69 ((((~v84(constB167, 1)) <=> v84(constB166, 1)) | ((~v84(constB167, 2)) <=> v84(constB166, 2)) | ((~v84(constB167, 0)) <=> v84(constB166, 0))) | (~((~v84(constB167, 0)) <=> v84(constB166, 0)))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23456,plain,
% 16.54/11.69 (~((~v84(constB167, 0)) <=> v84(constB166, 0))),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23455, 22853])).
% 16.54/11.69 tff(23457,plain,
% 16.54/11.69 ((((~v123(constB166, 2)) <=> v121(constB165, 2)) | ((~v123(constB166, 1)) <=> v121(constB165, 1)) | ((~v123(constB166, 0)) <=> v121(constB165, 0))) | (~((~v123(constB166, 0)) <=> v121(constB165, 0)))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23458,plain,
% 16.54/11.69 (~((~v123(constB166, 0)) <=> v121(constB165, 0))),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23457, 22859])).
% 16.54/11.69 tff(23459,plain,
% 16.54/11.69 ((((~v121(constB165, 2)) <=> v124(constB165, 2)) | ((~v121(constB165, 0)) <=> v124(constB165, 0)) | ((~v121(constB165, 1)) <=> v124(constB165, 1))) | (~((~v121(constB165, 0)) <=> v124(constB165, 0)))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23460,plain,
% 16.54/11.69 (~((~v121(constB165, 0)) <=> v124(constB165, 0))),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23459, 22873])).
% 16.54/11.69 tff(23461,plain,
% 16.54/11.69 ((v124(constB165, 2) | v124(constB165, 1) | (~v124(constB165, 0))) | v124(constB165, 0)),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23462,plain,
% 16.54/11.69 (v124(constB165, 0)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23461, 23347])).
% 16.54/11.69 tff(23463,plain,
% 16.54/11.69 (((~v121(constB165, 0)) <=> v124(constB165, 0)) | v121(constB165, 0) | (~v124(constB165, 0))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23464,plain,
% 16.54/11.69 (v121(constB165, 0)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23463, 23462, 23460])).
% 16.54/11.69 tff(23465,plain,
% 16.54/11.69 (((~v123(constB166, 0)) <=> v121(constB165, 0)) | v123(constB166, 0) | (~v121(constB165, 0))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23466,plain,
% 16.54/11.69 (v123(constB166, 0)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23465, 23464, 23458])).
% 16.54/11.69 tff(23467,plain,
% 16.54/11.69 ((((~v84(constB166, 0)) <=> v123(constB166, 0)) | ((~v84(constB166, 2)) <=> v123(constB166, 2)) | ((~v84(constB166, 1)) <=> v123(constB166, 1))) | (~((~v84(constB166, 0)) <=> v123(constB166, 0)))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23468,plain,
% 16.54/11.69 (~((~v84(constB166, 0)) <=> v123(constB166, 0))),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23467, 23448])).
% 16.54/11.69 tff(23469,plain,
% 16.54/11.69 (((~v84(constB166, 0)) <=> v123(constB166, 0)) | v84(constB166, 0) | (~v123(constB166, 0))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23470,plain,
% 16.54/11.69 (v84(constB166, 0)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23469, 23468, 23466])).
% 16.54/11.69 tff(23471,plain,
% 16.54/11.69 (((~v84(constB167, 0)) <=> v84(constB166, 0)) | v84(constB167, 0) | (~v84(constB166, 0))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23472,plain,
% 16.54/11.69 (v84(constB167, 0)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23471, 23470, 23456])).
% 16.54/11.69 tff(23473,plain,
% 16.54/11.69 ((((~v84(constB167, 1)) <=> v84(constB166, 1)) | ((~v84(constB167, 2)) <=> v84(constB166, 2)) | ((~v84(constB167, 0)) <=> v84(constB166, 0))) | (~((~v84(constB167, 1)) <=> v84(constB166, 1)))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23474,plain,
% 16.54/11.69 (~((~v84(constB167, 1)) <=> v84(constB166, 1))),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23473, 22853])).
% 16.54/11.69 tff(23475,plain,
% 16.54/11.69 ((((~v123(constB166, 2)) <=> v121(constB165, 2)) | ((~v123(constB166, 1)) <=> v121(constB165, 1)) | ((~v123(constB166, 0)) <=> v121(constB165, 0))) | (~((~v123(constB166, 1)) <=> v121(constB165, 1)))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23476,plain,
% 16.54/11.69 (~((~v123(constB166, 1)) <=> v121(constB165, 1))),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23475, 22859])).
% 16.54/11.69 tff(23477,plain,
% 16.54/11.69 ((((~v121(constB165, 2)) <=> v124(constB165, 2)) | ((~v121(constB165, 0)) <=> v124(constB165, 0)) | ((~v121(constB165, 1)) <=> v124(constB165, 1))) | (~((~v121(constB165, 1)) <=> v124(constB165, 1)))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23478,plain,
% 16.54/11.69 (~((~v121(constB165, 1)) <=> v124(constB165, 1))),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23477, 22873])).
% 16.54/11.69 tff(23479,plain,
% 16.54/11.69 ((v124(constB165, 2) | v124(constB165, 1) | (~v124(constB165, 0))) | (~v124(constB165, 1))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23480,plain,
% 16.54/11.69 (~v124(constB165, 1)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23479, 23347])).
% 16.54/11.69 tff(23481,plain,
% 16.54/11.69 (((~v121(constB165, 1)) <=> v124(constB165, 1)) | (~v121(constB165, 1)) | v124(constB165, 1)),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23482,plain,
% 16.54/11.69 (~v121(constB165, 1)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23481, 23480, 23478])).
% 16.54/11.69 tff(23483,plain,
% 16.54/11.69 (((~v123(constB166, 1)) <=> v121(constB165, 1)) | (~v123(constB166, 1)) | v121(constB165, 1)),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23484,plain,
% 16.54/11.69 (~v123(constB166, 1)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23483, 23482, 23476])).
% 16.54/11.69 tff(23485,plain,
% 16.54/11.69 ((((~v84(constB166, 0)) <=> v123(constB166, 0)) | ((~v84(constB166, 2)) <=> v123(constB166, 2)) | ((~v84(constB166, 1)) <=> v123(constB166, 1))) | (~((~v84(constB166, 1)) <=> v123(constB166, 1)))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23486,plain,
% 16.54/11.69 (~((~v84(constB166, 1)) <=> v123(constB166, 1))),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23485, 23448])).
% 16.54/11.69 tff(23487,plain,
% 16.54/11.69 (((~v84(constB166, 1)) <=> v123(constB166, 1)) | (~v84(constB166, 1)) | v123(constB166, 1)),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23488,plain,
% 16.54/11.69 (~v84(constB166, 1)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23487, 23486, 23484])).
% 16.54/11.69 tff(23489,plain,
% 16.54/11.69 (((~v84(constB167, 1)) <=> v84(constB166, 1)) | (~v84(constB167, 1)) | v84(constB166, 1)),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23490,plain,
% 16.54/11.69 (~v84(constB167, 1)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23489, 23488, 23474])).
% 16.54/11.69 tff(23491,plain,
% 16.54/11.69 ((~(v84(constB167, 1) | v84(constB167, 2) | (~v84(constB167, 0)))) | v84(constB167, 1) | v84(constB167, 2) | (~v84(constB167, 0))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23492,plain,
% 16.54/11.69 (~(v84(constB167, 1) | v84(constB167, 2) | (~v84(constB167, 0)))),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23491, 23490, 23472, 23454])).
% 16.54/11.69 tff(23493,plain,
% 16.54/11.69 ((~(v114(constB167) <=> (~(v84(constB167, 1) | v84(constB167, 2) | (~v84(constB167, 0)))))) | v114(constB167) | (v84(constB167, 1) | v84(constB167, 2) | (~v84(constB167, 0)))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23494,plain,
% 16.54/11.69 (v114(constB167)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23493, 23492, 22822])).
% 16.54/11.69 tff(23495,plain,
% 16.54/11.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB167)) | (~(v124(constB167, 2) | v124(constB167, 0) | (~v124(constB167, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB167)) | (~(v124(constB167, 2) | v124(constB167, 0) | (~v124(constB167, 1)))))),
% 16.54/11.69 inference(rewrite,[status(thm)],[])).
% 16.54/11.69 tff(23496,plain,
% 16.54/11.69 (((~v114(constB167)) | (~(v124(constB167, 0) | v124(constB167, 2) | (~v124(constB167, 1))))) <=> ((~v114(constB167)) | (~(v124(constB167, 2) | v124(constB167, 0) | (~v124(constB167, 1)))))),
% 16.54/11.69 inference(rewrite,[status(thm)],[])).
% 16.54/11.69 tff(23497,plain,
% 16.54/11.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB167)) | (~(v124(constB167, 0) | v124(constB167, 2) | (~v124(constB167, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB167)) | (~(v124(constB167, 2) | v124(constB167, 0) | (~v124(constB167, 1))))))),
% 16.54/11.69 inference(monotonicity,[status(thm)],[23496])).
% 16.54/11.69 tff(23498,plain,
% 16.54/11.69 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB167)) | (~(v124(constB167, 0) | v124(constB167, 2) | (~v124(constB167, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB167)) | (~(v124(constB167, 2) | v124(constB167, 0) | (~v124(constB167, 1)))))),
% 16.54/11.69 inference(transitivity,[status(thm)],[23497, 23495])).
% 16.54/11.69 tff(23499,plain,
% 16.54/11.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB167)) | (~(v124(constB167, 0) | v124(constB167, 2) | (~v124(constB167, 1)))))),
% 16.54/11.69 inference(quant_inst,[status(thm)],[])).
% 16.54/11.69 tff(23500,plain,
% 16.54/11.69 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB167)) | (~(v124(constB167, 2) | v124(constB167, 0) | (~v124(constB167, 1))))),
% 16.54/11.69 inference(modus_ponens,[status(thm)],[23499, 23498])).
% 16.54/11.69 tff(23501,plain,
% 16.54/11.69 ((~v114(constB167)) | (~(v124(constB167, 2) | v124(constB167, 0) | (~v124(constB167, 1))))),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23500, 2964])).
% 16.54/11.69 tff(23502,plain,
% 16.54/11.69 (~(v124(constB167, 2) | v124(constB167, 0) | (~v124(constB167, 1)))),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23501, 23494])).
% 16.54/11.69 tff(23503,plain,
% 16.54/11.69 ((v124(constB167, 2) | v124(constB167, 0) | (~v124(constB167, 1))) | (~v124(constB167, 2))),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23504,plain,
% 16.54/11.69 (~v124(constB167, 2)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23503, 23502])).
% 16.54/11.69 tff(23505,plain,
% 16.54/11.69 (((~v121(constB167, 2)) <=> v124(constB167, 2)) | (~v121(constB167, 2)) | v124(constB167, 2)),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23506,plain,
% 16.54/11.69 (~v121(constB167, 2)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23505, 23504, 22820])).
% 16.54/11.69 tff(23507,plain,
% 16.54/11.69 (((~v123(constB168, 2)) <=> v121(constB167, 2)) | (~v123(constB168, 2)) | v121(constB167, 2)),
% 16.54/11.69 inference(tautology,[status(thm)],[])).
% 16.54/11.69 tff(23508,plain,
% 16.54/11.69 (~v123(constB168, 2)),
% 16.54/11.69 inference(unit_resolution,[status(thm)],[23507, 23506, 22806])).
% 16.54/11.69 tff(23509,plain,
% 16.54/11.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB167, constB168)) | (v94(constB168) <=> (~((~v95(constB168)) | (~v104(constB168))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB167, constB168)) | (v94(constB168) <=> (~((~v95(constB168)) | (~v104(constB168))))))),
% 16.54/11.69 inference(rewrite,[status(thm)],[])).
% 16.54/11.69 tff(23510,plain,
% 16.54/11.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB167, constB168)) | (v94(constB168) <=> (~((~v95(constB168)) | (~v104(constB168))))))),
% 16.54/11.69 inference(quant_inst,[status(thm)],[])).
% 16.54/11.69 tff(23511,plain,
% 16.54/11.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB167, constB168)) | (v94(constB168) <=> (~((~v95(constB168)) | (~v104(constB168)))))),
% 16.54/11.69 inference(modus_ponens,[status(thm)],[23510, 23509])).
% 16.54/11.70 tff(23512,plain,
% 16.54/11.70 (v94(constB168) <=> (~((~v95(constB168)) | (~v104(constB168))))),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23511, 22800, 770])).
% 16.54/11.70 tff(23513,plain,
% 16.54/11.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168))))))),
% 16.54/11.70 inference(rewrite,[status(thm)],[])).
% 16.54/11.70 tff(23514,plain,
% 16.54/11.70 (((~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v96(constB168)) | (~v1(constB168)))))) <=> ((~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168))))))),
% 16.54/11.70 inference(rewrite,[status(thm)],[])).
% 16.54/11.70 tff(23515,plain,
% 16.54/11.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v96(constB168)) | (~v1(constB168))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168)))))))),
% 16.54/11.70 inference(monotonicity,[status(thm)],[23514])).
% 16.54/11.70 tff(23516,plain,
% 16.54/11.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v96(constB168)) | (~v1(constB168))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168))))))),
% 16.54/11.70 inference(transitivity,[status(thm)],[23515, 23513])).
% 16.54/11.70 tff(23517,plain,
% 16.54/11.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v96(constB168)) | (~v1(constB168))))))),
% 16.54/11.70 inference(quant_inst,[status(thm)],[])).
% 16.54/11.70 tff(23518,plain,
% 16.54/11.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168)))))),
% 16.54/11.70 inference(modus_ponens,[status(thm)],[23517, 23516])).
% 16.54/11.70 tff(23519,plain,
% 16.54/11.70 (v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168))))),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23518, 22800, 790])).
% 16.54/11.70 tff(23520,plain,
% 16.54/11.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB167, constB168)) | ((~v96(constB168)) <=> v98(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB167, constB168)) | ((~v96(constB168)) <=> v98(constB168)))),
% 16.54/11.70 inference(rewrite,[status(thm)],[])).
% 16.54/11.70 tff(23521,plain,
% 16.54/11.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB167, constB168)) | ((~v96(constB168)) <=> v98(constB168)))),
% 16.54/11.70 inference(quant_inst,[status(thm)],[])).
% 16.54/11.70 tff(23522,plain,
% 16.54/11.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB167, constB168)) | ((~v96(constB168)) <=> v98(constB168))),
% 16.54/11.70 inference(modus_ponens,[status(thm)],[23521, 23520])).
% 16.54/11.70 tff(23523,plain,
% 16.54/11.70 ((~v96(constB168)) <=> v98(constB168)),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23522, 22800, 2332])).
% 16.54/11.70 tff(23524,plain,
% 16.54/11.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB167, constB168)) | (v98(constB168) <=> v1(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB167, constB168)) | (v98(constB168) <=> v1(constB167)))),
% 16.54/11.70 inference(rewrite,[status(thm)],[])).
% 16.54/11.70 tff(23525,plain,
% 16.54/11.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB167, constB168)) | (v98(constB168) <=> v1(constB167)))),
% 16.54/11.70 inference(quant_inst,[status(thm)],[])).
% 16.54/11.70 tff(23526,plain,
% 16.54/11.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB167, constB168)) | (v98(constB168) <=> v1(constB167))),
% 16.54/11.70 inference(modus_ponens,[status(thm)],[23525, 23524])).
% 16.54/11.70 tff(23527,plain,
% 16.54/11.70 (v98(constB168) <=> v1(constB167)),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23526, 22800, 2346])).
% 16.54/11.70 tff(23528,plain,
% 16.54/11.70 ((~(v98(constB168) <=> v1(constB167))) | (~v98(constB168)) | v1(constB167)),
% 16.54/11.70 inference(tautology,[status(thm)],[])).
% 16.54/11.70 tff(23529,plain,
% 16.54/11.70 ((~(v98(constB168) <=> v1(constB167))) | (~v98(constB168))),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23528, 22836])).
% 16.54/11.70 tff(23530,plain,
% 16.54/11.70 (~v98(constB168)),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23529, 23527])).
% 16.54/11.70 tff(23531,plain,
% 16.54/11.70 ((~((~v96(constB168)) <=> v98(constB168))) | v96(constB168) | v98(constB168)),
% 16.54/11.70 inference(tautology,[status(thm)],[])).
% 16.54/11.70 tff(23532,plain,
% 16.54/11.70 (v96(constB168)),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23531, 23530, 23523])).
% 16.54/11.70 tff(23533,plain,
% 16.54/11.70 (v1(constB168) <=> v1(constB168)),
% 16.54/11.70 inference(rewrite,[status(thm)],[])).
% 16.54/11.70 tff(23534,axiom,(v1(constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_168')).
% 16.54/11.70 tff(23535,plain,
% 16.54/11.70 (v1(constB168)),
% 16.54/11.70 inference(modus_ponens,[status(thm)],[23534, 23533])).
% 16.54/11.70 tff(23536,plain,
% 16.54/11.70 ((~((~v1(constB168)) | (~v96(constB168)))) | (~v1(constB168)) | (~v96(constB168))),
% 16.54/11.70 inference(tautology,[status(thm)],[])).
% 16.54/11.70 tff(23537,plain,
% 16.54/11.70 ((~((~v1(constB168)) | (~v96(constB168)))) | (~v96(constB168))),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23536, 23535])).
% 16.54/11.70 tff(23538,plain,
% 16.54/11.70 (~((~v1(constB168)) | (~v96(constB168)))),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23537, 23532])).
% 16.54/11.70 tff(23539,plain,
% 16.54/11.70 ((~(v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168)))))) | v95(constB168) | ((~v1(constB168)) | (~v96(constB168)))),
% 16.54/11.70 inference(tautology,[status(thm)],[])).
% 16.54/11.70 tff(23540,plain,
% 16.54/11.70 (v95(constB168)),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23539, 23538, 23519])).
% 16.54/11.70 tff(23541,plain,
% 16.54/11.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB167, constB168)) | (v104(constB168) <=> v102(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB167, constB168)) | (v104(constB168) <=> v102(constB167)))),
% 16.54/11.70 inference(rewrite,[status(thm)],[])).
% 16.54/11.70 tff(23542,plain,
% 16.54/11.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB167, constB168)) | (v104(constB168) <=> v102(constB167)))),
% 16.54/11.70 inference(quant_inst,[status(thm)],[])).
% 16.54/11.70 tff(23543,plain,
% 16.54/11.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB167, constB168)) | (v104(constB168) <=> v102(constB167))),
% 16.54/11.70 inference(modus_ponens,[status(thm)],[23542, 23541])).
% 16.54/11.70 tff(23544,plain,
% 16.54/11.70 (v104(constB168) <=> v102(constB167)),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23543, 22800, 2373])).
% 16.54/11.70 tff(23545,plain,
% 16.54/11.70 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB167) <=> (v105(constB167) | v106(constB167)))),
% 16.54/11.70 inference(quant_inst,[status(thm)],[])).
% 16.54/11.70 tff(23546,plain,
% 16.54/11.70 (v102(constB167) <=> (v105(constB167) | v106(constB167))),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23545, 2384])).
% 16.54/11.70 tff(23547,plain,
% 16.54/11.70 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB167) <=> (~((~v107(constB167)) | (~v120(constB167)))))),
% 16.54/11.70 inference(quant_inst,[status(thm)],[])).
% 16.54/11.70 tff(23548,plain,
% 16.54/11.70 (v106(constB167) <=> (~((~v107(constB167)) | (~v120(constB167))))),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23547, 2396])).
% 16.54/11.70 tff(23549,plain,
% 16.54/11.70 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB167) <=> (v108(constB167) | v119(constB167)))),
% 16.54/11.70 inference(quant_inst,[status(thm)],[])).
% 16.54/11.70 tff(23550,plain,
% 16.54/11.70 (v107(constB167) <=> (v108(constB167) | v119(constB167))),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23549, 2405])).
% 16.54/11.70 tff(23551,plain,
% 16.54/11.70 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB167) <=> (v109(constB167) | v118(constB167)))),
% 16.54/11.70 inference(quant_inst,[status(thm)],[])).
% 16.54/11.70 tff(23552,plain,
% 16.54/11.70 (v108(constB167) <=> (v109(constB167) | v118(constB167))),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23551, 2414])).
% 16.54/11.70 tff(23553,plain,
% 16.54/11.70 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB167) <=> (v110(constB167) | v117(constB167)))),
% 16.54/11.70 inference(quant_inst,[status(thm)],[])).
% 16.54/11.70 tff(23554,plain,
% 16.54/11.70 (v109(constB167) <=> (v110(constB167) | v117(constB167))),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23553, 2423])).
% 16.54/11.70 tff(23555,plain,
% 16.54/11.70 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB167) <=> (v111(constB167) | v116(constB167)))),
% 16.54/11.70 inference(quant_inst,[status(thm)],[])).
% 16.54/11.70 tff(23556,plain,
% 16.54/11.70 (v110(constB167) <=> (v111(constB167) | v116(constB167))),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23555, 2432])).
% 16.54/11.70 tff(23557,plain,
% 16.54/11.70 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB167) <=> (v112(constB167) | v115(constB167)))),
% 16.54/11.70 inference(quant_inst,[status(thm)],[])).
% 16.54/11.70 tff(23558,plain,
% 16.54/11.70 (v111(constB167) <=> (v112(constB167) | v115(constB167))),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23557, 2441])).
% 16.54/11.70 tff(23559,plain,
% 16.54/11.70 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB167) <=> (v113(constB167) | v114(constB167)))),
% 16.54/11.70 inference(quant_inst,[status(thm)],[])).
% 16.54/11.70 tff(23560,plain,
% 16.54/11.70 (v112(constB167) <=> (v113(constB167) | v114(constB167))),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23559, 2450])).
% 16.54/11.70 tff(23561,plain,
% 16.54/11.70 ((v113(constB167) | v114(constB167)) | (~v114(constB167))),
% 16.54/11.70 inference(tautology,[status(thm)],[])).
% 16.54/11.70 tff(23562,plain,
% 16.54/11.70 (v113(constB167) | v114(constB167)),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23561, 23494])).
% 16.54/11.70 tff(23563,plain,
% 16.54/11.70 ((~(v112(constB167) <=> (v113(constB167) | v114(constB167)))) | v112(constB167) | (~(v113(constB167) | v114(constB167)))),
% 16.54/11.70 inference(tautology,[status(thm)],[])).
% 16.54/11.70 tff(23564,plain,
% 16.54/11.70 (v112(constB167)),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23563, 23562, 23560])).
% 16.54/11.70 tff(23565,plain,
% 16.54/11.70 ((v112(constB167) | v115(constB167)) | (~v112(constB167))),
% 16.54/11.70 inference(tautology,[status(thm)],[])).
% 16.54/11.70 tff(23566,plain,
% 16.54/11.70 (v112(constB167) | v115(constB167)),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23565, 23564])).
% 16.54/11.70 tff(23567,plain,
% 16.54/11.70 ((~(v111(constB167) <=> (v112(constB167) | v115(constB167)))) | v111(constB167) | (~(v112(constB167) | v115(constB167)))),
% 16.54/11.70 inference(tautology,[status(thm)],[])).
% 16.54/11.70 tff(23568,plain,
% 16.54/11.70 (v111(constB167)),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23567, 23566, 23558])).
% 16.54/11.70 tff(23569,plain,
% 16.54/11.70 ((v111(constB167) | v116(constB167)) | (~v111(constB167))),
% 16.54/11.70 inference(tautology,[status(thm)],[])).
% 16.54/11.70 tff(23570,plain,
% 16.54/11.70 (v111(constB167) | v116(constB167)),
% 16.54/11.70 inference(unit_resolution,[status(thm)],[23569, 23568])).
% 16.54/11.70 tff(23571,plain,
% 16.54/11.70 ((~(v110(constB167) <=> (v111(constB167) | v116(constB167)))) | v110(constB167) | (~(v111(constB167) | v116(constB167)))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23572,plain,
% 16.57/11.70 (v110(constB167)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23571, 23570, 23556])).
% 16.57/11.70 tff(23573,plain,
% 16.57/11.70 ((v110(constB167) | v117(constB167)) | (~v110(constB167))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23574,plain,
% 16.57/11.70 (v110(constB167) | v117(constB167)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23573, 23572])).
% 16.57/11.70 tff(23575,plain,
% 16.57/11.70 ((~(v109(constB167) <=> (v110(constB167) | v117(constB167)))) | v109(constB167) | (~(v110(constB167) | v117(constB167)))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23576,plain,
% 16.57/11.70 (v109(constB167)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23575, 23574, 23554])).
% 16.57/11.70 tff(23577,plain,
% 16.57/11.70 ((v109(constB167) | v118(constB167)) | (~v109(constB167))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23578,plain,
% 16.57/11.70 (v109(constB167) | v118(constB167)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23577, 23576])).
% 16.57/11.70 tff(23579,plain,
% 16.57/11.70 ((~(v108(constB167) <=> (v109(constB167) | v118(constB167)))) | v108(constB167) | (~(v109(constB167) | v118(constB167)))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23580,plain,
% 16.57/11.70 (v108(constB167)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23579, 23578, 23552])).
% 16.57/11.70 tff(23581,plain,
% 16.57/11.70 ((v108(constB167) | v119(constB167)) | (~v108(constB167))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23582,plain,
% 16.57/11.70 (v108(constB167) | v119(constB167)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23581, 23580])).
% 16.57/11.70 tff(23583,plain,
% 16.57/11.70 ((~(v107(constB167) <=> (v108(constB167) | v119(constB167)))) | v107(constB167) | (~(v108(constB167) | v119(constB167)))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23584,plain,
% 16.57/11.70 (v107(constB167)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23583, 23582, 23550])).
% 16.57/11.70 tff(23585,plain,
% 16.57/11.70 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB167)) <=> v105(constB167))),
% 16.57/11.70 inference(quant_inst,[status(thm)],[])).
% 16.57/11.70 tff(23586,plain,
% 16.57/11.70 ((~v120(constB167)) <=> v105(constB167)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23585, 2484])).
% 16.57/11.70 tff(23587,plain,
% 16.57/11.70 ((~((~v120(constB167)) <=> v105(constB167))) | v120(constB167) | v105(constB167)),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23588,plain,
% 16.57/11.70 ((~((~v120(constB167)) <=> v105(constB167))) | v120(constB167)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23587, 22813])).
% 16.57/11.70 tff(23589,plain,
% 16.57/11.70 (v120(constB167)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23588, 23586])).
% 16.57/11.70 tff(23590,plain,
% 16.57/11.70 ((~((~v107(constB167)) | (~v120(constB167)))) | (~v107(constB167)) | (~v120(constB167))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23591,plain,
% 16.57/11.70 ((~((~v107(constB167)) | (~v120(constB167)))) | (~v107(constB167))),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23590, 23589])).
% 16.57/11.70 tff(23592,plain,
% 16.57/11.70 (~((~v107(constB167)) | (~v120(constB167)))),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23591, 23584])).
% 16.57/11.70 tff(23593,plain,
% 16.57/11.70 ((~(v106(constB167) <=> (~((~v107(constB167)) | (~v120(constB167)))))) | v106(constB167) | ((~v107(constB167)) | (~v120(constB167)))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23594,plain,
% 16.57/11.70 (v106(constB167)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23593, 23592, 23548])).
% 16.57/11.70 tff(23595,plain,
% 16.57/11.70 ((v105(constB167) | v106(constB167)) | (~v106(constB167))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23596,plain,
% 16.57/11.70 (v105(constB167) | v106(constB167)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23595, 23594])).
% 16.57/11.70 tff(23597,plain,
% 16.57/11.70 ((~(v102(constB167) <=> (v105(constB167) | v106(constB167)))) | v102(constB167) | (~(v105(constB167) | v106(constB167)))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23598,plain,
% 16.57/11.70 (v102(constB167)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23597, 23596, 23546])).
% 16.57/11.70 tff(23599,plain,
% 16.57/11.70 ((~(v104(constB168) <=> v102(constB167))) | v104(constB168) | (~v102(constB167))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23600,plain,
% 16.57/11.70 (v104(constB168)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23599, 23598, 23544])).
% 16.57/11.70 tff(23601,plain,
% 16.57/11.70 ((~((~v95(constB168)) | (~v104(constB168)))) | (~v95(constB168)) | (~v104(constB168))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23602,plain,
% 16.57/11.70 (~((~v95(constB168)) | (~v104(constB168)))),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23601, 23600, 23540])).
% 16.57/11.70 tff(23603,plain,
% 16.57/11.70 ((~(v94(constB168) <=> (~((~v95(constB168)) | (~v104(constB168)))))) | v94(constB168) | ((~v95(constB168)) | (~v104(constB168)))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23604,plain,
% 16.57/11.70 (v94(constB168)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23603, 23602, 23512])).
% 16.57/11.70 tff(23605,plain,
% 16.57/11.70 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB168)) | (~(((~v84(constB168, 2)) <=> v123(constB168, 2)) | ((~v84(constB168, 1)) <=> v123(constB168, 1)) | ((~v84(constB168, 0)) <=> v123(constB168, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB168)) | (~(((~v84(constB168, 2)) <=> v123(constB168, 2)) | ((~v84(constB168, 1)) <=> v123(constB168, 1)) | ((~v84(constB168, 0)) <=> v123(constB168, 0)))))),
% 16.57/11.70 inference(rewrite,[status(thm)],[])).
% 16.57/11.70 tff(23606,plain,
% 16.57/11.70 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB168)) | (~(((~v84(constB168, 2)) <=> v123(constB168, 2)) | ((~v84(constB168, 1)) <=> v123(constB168, 1)) | ((~v84(constB168, 0)) <=> v123(constB168, 0)))))),
% 16.57/11.70 inference(quant_inst,[status(thm)],[])).
% 16.57/11.70 tff(23607,plain,
% 16.57/11.70 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB168)) | (~(((~v84(constB168, 2)) <=> v123(constB168, 2)) | ((~v84(constB168, 1)) <=> v123(constB168, 1)) | ((~v84(constB168, 0)) <=> v123(constB168, 0))))),
% 16.57/11.70 inference(modus_ponens,[status(thm)],[23606, 23605])).
% 16.57/11.70 tff(23608,plain,
% 16.57/11.70 ((~v94(constB168)) | (~(((~v84(constB168, 2)) <=> v123(constB168, 2)) | ((~v84(constB168, 1)) <=> v123(constB168, 1)) | ((~v84(constB168, 0)) <=> v123(constB168, 0))))),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23607, 2517])).
% 16.57/11.70 tff(23609,plain,
% 16.57/11.70 (~(((~v84(constB168, 2)) <=> v123(constB168, 2)) | ((~v84(constB168, 1)) <=> v123(constB168, 1)) | ((~v84(constB168, 0)) <=> v123(constB168, 0)))),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23608, 23604])).
% 16.57/11.70 tff(23610,plain,
% 16.57/11.70 ((((~v84(constB168, 2)) <=> v123(constB168, 2)) | ((~v84(constB168, 1)) <=> v123(constB168, 1)) | ((~v84(constB168, 0)) <=> v123(constB168, 0))) | (~((~v84(constB168, 2)) <=> v123(constB168, 2)))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23611,plain,
% 16.57/11.70 (~((~v84(constB168, 2)) <=> v123(constB168, 2))),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23610, 23609])).
% 16.57/11.70 tff(23612,plain,
% 16.57/11.70 (((~v84(constB168, 2)) <=> v123(constB168, 2)) | (~v84(constB168, 2)) | v123(constB168, 2)),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23613,plain,
% 16.57/11.70 (~v84(constB168, 2)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23612, 23611, 23508])).
% 16.57/11.70 tff(23614,plain,
% 16.57/11.70 (((~v84(constB169, 2)) <=> v84(constB168, 2)) | (~v84(constB169, 2)) | v84(constB168, 2)),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23615,plain,
% 16.57/11.70 (~v84(constB169, 2)),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23614, 23613, 22797])).
% 16.57/11.70 tff(23616,plain,
% 16.57/11.70 ((((~v84(constB169, 1)) <=> v84(constB168, 1)) | ((~v84(constB169, 2)) <=> v84(constB168, 2)) | ((~v84(constB169, 0)) <=> v84(constB168, 0))) | (~((~v84(constB169, 0)) <=> v84(constB168, 0)))),
% 16.57/11.70 inference(tautology,[status(thm)],[])).
% 16.57/11.70 tff(23617,plain,
% 16.57/11.70 (~((~v84(constB169, 0)) <=> v84(constB168, 0))),
% 16.57/11.70 inference(unit_resolution,[status(thm)],[23616, 22795])).
% 16.57/11.70 tff(23618,plain,
% 16.57/11.70 ((((~v123(constB168, 2)) <=> v121(constB167, 2)) | ((~v123(constB168, 1)) <=> v121(constB167, 1)) | ((~v123(constB168, 0)) <=> v121(constB167, 0))) | (~((~v123(constB168, 0)) <=> v121(constB167, 0)))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23619,plain,
% 16.57/11.71 (~((~v123(constB168, 0)) <=> v121(constB167, 0))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23618, 22804])).
% 16.57/11.71 tff(23620,plain,
% 16.57/11.71 ((((~v121(constB167, 2)) <=> v124(constB167, 2)) | ((~v121(constB167, 0)) <=> v124(constB167, 0)) | ((~v121(constB167, 1)) <=> v124(constB167, 1))) | (~((~v121(constB167, 0)) <=> v124(constB167, 0)))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23621,plain,
% 16.57/11.71 (~((~v121(constB167, 0)) <=> v124(constB167, 0))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23620, 22818])).
% 16.57/11.71 tff(23622,plain,
% 16.57/11.71 ((v124(constB167, 2) | v124(constB167, 0) | (~v124(constB167, 1))) | (~v124(constB167, 0))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23623,plain,
% 16.57/11.71 (~v124(constB167, 0)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23622, 23502])).
% 16.57/11.71 tff(23624,plain,
% 16.57/11.71 (((~v121(constB167, 0)) <=> v124(constB167, 0)) | (~v121(constB167, 0)) | v124(constB167, 0)),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23625,plain,
% 16.57/11.71 (~v121(constB167, 0)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23624, 23623, 23621])).
% 16.57/11.71 tff(23626,plain,
% 16.57/11.71 (((~v123(constB168, 0)) <=> v121(constB167, 0)) | (~v123(constB168, 0)) | v121(constB167, 0)),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23627,plain,
% 16.57/11.71 (~v123(constB168, 0)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23626, 23625, 23619])).
% 16.57/11.71 tff(23628,plain,
% 16.57/11.71 ((((~v84(constB168, 2)) <=> v123(constB168, 2)) | ((~v84(constB168, 1)) <=> v123(constB168, 1)) | ((~v84(constB168, 0)) <=> v123(constB168, 0))) | (~((~v84(constB168, 0)) <=> v123(constB168, 0)))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23629,plain,
% 16.57/11.71 (~((~v84(constB168, 0)) <=> v123(constB168, 0))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23628, 23609])).
% 16.57/11.71 tff(23630,plain,
% 16.57/11.71 (((~v84(constB168, 0)) <=> v123(constB168, 0)) | (~v84(constB168, 0)) | v123(constB168, 0)),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23631,plain,
% 16.57/11.71 (~v84(constB168, 0)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23630, 23629, 23627])).
% 16.57/11.71 tff(23632,plain,
% 16.57/11.71 (((~v84(constB169, 0)) <=> v84(constB168, 0)) | (~v84(constB169, 0)) | v84(constB168, 0)),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23633,plain,
% 16.57/11.71 (~v84(constB169, 0)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23632, 23631, 23617])).
% 16.57/11.71 tff(23634,plain,
% 16.57/11.71 ((((~v84(constB169, 1)) <=> v84(constB168, 1)) | ((~v84(constB169, 2)) <=> v84(constB168, 2)) | ((~v84(constB169, 0)) <=> v84(constB168, 0))) | (~((~v84(constB169, 1)) <=> v84(constB168, 1)))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23635,plain,
% 16.57/11.71 (~((~v84(constB169, 1)) <=> v84(constB168, 1))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23634, 22795])).
% 16.57/11.71 tff(23636,plain,
% 16.57/11.71 ((((~v123(constB168, 2)) <=> v121(constB167, 2)) | ((~v123(constB168, 1)) <=> v121(constB167, 1)) | ((~v123(constB168, 0)) <=> v121(constB167, 0))) | (~((~v123(constB168, 1)) <=> v121(constB167, 1)))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23637,plain,
% 16.57/11.71 (~((~v123(constB168, 1)) <=> v121(constB167, 1))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23636, 22804])).
% 16.57/11.71 tff(23638,plain,
% 16.57/11.71 ((((~v121(constB167, 2)) <=> v124(constB167, 2)) | ((~v121(constB167, 0)) <=> v124(constB167, 0)) | ((~v121(constB167, 1)) <=> v124(constB167, 1))) | (~((~v121(constB167, 1)) <=> v124(constB167, 1)))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23639,plain,
% 16.57/11.71 (~((~v121(constB167, 1)) <=> v124(constB167, 1))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23638, 22818])).
% 16.57/11.71 tff(23640,plain,
% 16.57/11.71 ((v124(constB167, 2) | v124(constB167, 0) | (~v124(constB167, 1))) | v124(constB167, 1)),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23641,plain,
% 16.57/11.71 (v124(constB167, 1)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23640, 23502])).
% 16.57/11.71 tff(23642,plain,
% 16.57/11.71 (((~v121(constB167, 1)) <=> v124(constB167, 1)) | v121(constB167, 1) | (~v124(constB167, 1))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23643,plain,
% 16.57/11.71 (v121(constB167, 1)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23642, 23641, 23639])).
% 16.57/11.71 tff(23644,plain,
% 16.57/11.71 (((~v123(constB168, 1)) <=> v121(constB167, 1)) | v123(constB168, 1) | (~v121(constB167, 1))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23645,plain,
% 16.57/11.71 (v123(constB168, 1)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23644, 23643, 23637])).
% 16.57/11.71 tff(23646,plain,
% 16.57/11.71 ((((~v84(constB168, 2)) <=> v123(constB168, 2)) | ((~v84(constB168, 1)) <=> v123(constB168, 1)) | ((~v84(constB168, 0)) <=> v123(constB168, 0))) | (~((~v84(constB168, 1)) <=> v123(constB168, 1)))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23647,plain,
% 16.57/11.71 (~((~v84(constB168, 1)) <=> v123(constB168, 1))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23646, 23609])).
% 16.57/11.71 tff(23648,plain,
% 16.57/11.71 (((~v84(constB168, 1)) <=> v123(constB168, 1)) | v84(constB168, 1) | (~v123(constB168, 1))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23649,plain,
% 16.57/11.71 (v84(constB168, 1)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23648, 23647, 23645])).
% 16.57/11.71 tff(23650,plain,
% 16.57/11.71 (((~v84(constB169, 1)) <=> v84(constB168, 1)) | v84(constB169, 1) | (~v84(constB168, 1))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23651,plain,
% 16.57/11.71 (v84(constB169, 1)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23650, 23649, 23635])).
% 16.57/11.71 tff(23652,plain,
% 16.57/11.71 ((~(v84(constB169, 2) | v84(constB169, 0) | (~v84(constB169, 1)))) | v84(constB169, 2) | v84(constB169, 0) | (~v84(constB169, 1))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23653,plain,
% 16.57/11.71 (~(v84(constB169, 2) | v84(constB169, 0) | (~v84(constB169, 1)))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23652, 23651, 23633, 23615])).
% 16.57/11.71 tff(23654,plain,
% 16.57/11.71 ((~(v115(constB169) <=> (~(v84(constB169, 2) | v84(constB169, 0) | (~v84(constB169, 1)))))) | v115(constB169) | (v84(constB169, 2) | v84(constB169, 0) | (~v84(constB169, 1)))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23655,plain,
% 16.57/11.71 (v115(constB169)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23654, 23653, 22761])).
% 16.57/11.71 tff(23656,plain,
% 16.57/11.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB169)) | (~(v124(constB169, 2) | (~v124(constB169, 0)) | (~v124(constB169, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB169)) | (~(v124(constB169, 2) | (~v124(constB169, 0)) | (~v124(constB169, 1)))))),
% 16.57/11.71 inference(rewrite,[status(thm)],[])).
% 16.57/11.71 tff(23657,plain,
% 16.57/11.71 (((~v115(constB169)) | (~(v124(constB169, 2) | (~v124(constB169, 1)) | (~v124(constB169, 0))))) <=> ((~v115(constB169)) | (~(v124(constB169, 2) | (~v124(constB169, 0)) | (~v124(constB169, 1)))))),
% 16.57/11.71 inference(rewrite,[status(thm)],[])).
% 16.57/11.71 tff(23658,plain,
% 16.57/11.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB169)) | (~(v124(constB169, 2) | (~v124(constB169, 1)) | (~v124(constB169, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB169)) | (~(v124(constB169, 2) | (~v124(constB169, 0)) | (~v124(constB169, 1))))))),
% 16.57/11.71 inference(monotonicity,[status(thm)],[23657])).
% 16.57/11.71 tff(23659,plain,
% 16.57/11.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB169)) | (~(v124(constB169, 2) | (~v124(constB169, 1)) | (~v124(constB169, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB169)) | (~(v124(constB169, 2) | (~v124(constB169, 0)) | (~v124(constB169, 1)))))),
% 16.57/11.71 inference(transitivity,[status(thm)],[23658, 23656])).
% 16.57/11.71 tff(23660,plain,
% 16.57/11.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB169)) | (~(v124(constB169, 2) | (~v124(constB169, 1)) | (~v124(constB169, 0)))))),
% 16.57/11.71 inference(quant_inst,[status(thm)],[])).
% 16.57/11.71 tff(23661,plain,
% 16.57/11.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB169)) | (~(v124(constB169, 2) | (~v124(constB169, 0)) | (~v124(constB169, 1))))),
% 16.57/11.71 inference(modus_ponens,[status(thm)],[23660, 23659])).
% 16.57/11.71 tff(23662,plain,
% 16.57/11.71 ((~v115(constB169)) | (~(v124(constB169, 2) | (~v124(constB169, 0)) | (~v124(constB169, 1))))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23661, 3138])).
% 16.57/11.71 tff(23663,plain,
% 16.57/11.71 (~(v124(constB169, 2) | (~v124(constB169, 0)) | (~v124(constB169, 1)))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23662, 23655])).
% 16.57/11.71 tff(23664,plain,
% 16.57/11.71 ((v124(constB169, 2) | (~v124(constB169, 0)) | (~v124(constB169, 1))) | (~v124(constB169, 2))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23665,plain,
% 16.57/11.71 (~v124(constB169, 2)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23664, 23663])).
% 16.57/11.71 tff(23666,plain,
% 16.57/11.71 (((~v121(constB169, 2)) <=> v124(constB169, 2)) | (~v121(constB169, 2)) | v124(constB169, 2)),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23667,plain,
% 16.57/11.71 (~v121(constB169, 2)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23666, 23665, 22754])).
% 16.57/11.71 tff(23668,plain,
% 16.57/11.71 (((~v123(constB170, 2)) <=> v121(constB169, 2)) | (~v123(constB170, 2)) | v121(constB169, 2)),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23669,plain,
% 16.57/11.71 (~v123(constB170, 2)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23668, 23667, 22740])).
% 16.57/11.71 tff(23670,plain,
% 16.57/11.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB169, constB170)) | (v94(constB170) <=> (~((~v95(constB170)) | (~v104(constB170))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB169, constB170)) | (v94(constB170) <=> (~((~v95(constB170)) | (~v104(constB170))))))),
% 16.57/11.71 inference(rewrite,[status(thm)],[])).
% 16.57/11.71 tff(23671,plain,
% 16.57/11.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB169, constB170)) | (v94(constB170) <=> (~((~v95(constB170)) | (~v104(constB170))))))),
% 16.57/11.71 inference(quant_inst,[status(thm)],[])).
% 16.57/11.71 tff(23672,plain,
% 16.57/11.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB169, constB170)) | (v94(constB170) <=> (~((~v95(constB170)) | (~v104(constB170)))))),
% 16.57/11.71 inference(modus_ponens,[status(thm)],[23671, 23670])).
% 16.57/11.71 tff(23673,plain,
% 16.57/11.71 (v94(constB170) <=> (~((~v95(constB170)) | (~v104(constB170))))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23672, 22734, 770])).
% 16.57/11.71 tff(23674,plain,
% 16.57/11.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170))))))),
% 16.57/11.71 inference(rewrite,[status(thm)],[])).
% 16.57/11.71 tff(23675,plain,
% 16.57/11.71 (((~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v96(constB170)) | (~v1(constB170)))))) <=> ((~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170))))))),
% 16.57/11.71 inference(rewrite,[status(thm)],[])).
% 16.57/11.71 tff(23676,plain,
% 16.57/11.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v96(constB170)) | (~v1(constB170))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170)))))))),
% 16.57/11.71 inference(monotonicity,[status(thm)],[23675])).
% 16.57/11.71 tff(23677,plain,
% 16.57/11.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v96(constB170)) | (~v1(constB170))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170))))))),
% 16.57/11.71 inference(transitivity,[status(thm)],[23676, 23674])).
% 16.57/11.71 tff(23678,plain,
% 16.57/11.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v96(constB170)) | (~v1(constB170))))))),
% 16.57/11.71 inference(quant_inst,[status(thm)],[])).
% 16.57/11.71 tff(23679,plain,
% 16.57/11.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170)))))),
% 16.57/11.71 inference(modus_ponens,[status(thm)],[23678, 23677])).
% 16.57/11.71 tff(23680,plain,
% 16.57/11.71 (v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170))))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23679, 22734, 790])).
% 16.57/11.71 tff(23681,plain,
% 16.57/11.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB169, constB170)) | ((~v96(constB170)) <=> v98(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB169, constB170)) | ((~v96(constB170)) <=> v98(constB170)))),
% 16.57/11.71 inference(rewrite,[status(thm)],[])).
% 16.57/11.71 tff(23682,plain,
% 16.57/11.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB169, constB170)) | ((~v96(constB170)) <=> v98(constB170)))),
% 16.57/11.71 inference(quant_inst,[status(thm)],[])).
% 16.57/11.71 tff(23683,plain,
% 16.57/11.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB169, constB170)) | ((~v96(constB170)) <=> v98(constB170))),
% 16.57/11.71 inference(modus_ponens,[status(thm)],[23682, 23681])).
% 16.57/11.71 tff(23684,plain,
% 16.57/11.71 ((~v96(constB170)) <=> v98(constB170)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23683, 22734, 2332])).
% 16.57/11.71 tff(23685,plain,
% 16.57/11.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB169, constB170)) | (v98(constB170) <=> v1(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB169, constB170)) | (v98(constB170) <=> v1(constB169)))),
% 16.57/11.71 inference(rewrite,[status(thm)],[])).
% 16.57/11.71 tff(23686,plain,
% 16.57/11.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB169, constB170)) | (v98(constB170) <=> v1(constB169)))),
% 16.57/11.71 inference(quant_inst,[status(thm)],[])).
% 16.57/11.71 tff(23687,plain,
% 16.57/11.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB169, constB170)) | (v98(constB170) <=> v1(constB169))),
% 16.57/11.71 inference(modus_ponens,[status(thm)],[23686, 23685])).
% 16.57/11.71 tff(23688,plain,
% 16.57/11.71 (v98(constB170) <=> v1(constB169)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23687, 22734, 2346])).
% 16.57/11.71 tff(23689,plain,
% 16.57/11.71 ((~(v98(constB170) <=> v1(constB169))) | (~v98(constB170)) | v1(constB169)),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23690,plain,
% 16.57/11.71 ((~(v98(constB170) <=> v1(constB169))) | (~v98(constB170))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23689, 22778])).
% 16.57/11.71 tff(23691,plain,
% 16.57/11.71 (~v98(constB170)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23690, 23688])).
% 16.57/11.71 tff(23692,plain,
% 16.57/11.71 ((~((~v96(constB170)) <=> v98(constB170))) | v96(constB170) | v98(constB170)),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23693,plain,
% 16.57/11.71 (v96(constB170)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23692, 23691, 23684])).
% 16.57/11.71 tff(23694,plain,
% 16.57/11.71 (v1(constB170) <=> v1(constB170)),
% 16.57/11.71 inference(rewrite,[status(thm)],[])).
% 16.57/11.71 tff(23695,axiom,(v1(constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_170')).
% 16.57/11.71 tff(23696,plain,
% 16.57/11.71 (v1(constB170)),
% 16.57/11.71 inference(modus_ponens,[status(thm)],[23695, 23694])).
% 16.57/11.71 tff(23697,plain,
% 16.57/11.71 ((~((~v1(constB170)) | (~v96(constB170)))) | (~v1(constB170)) | (~v96(constB170))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23698,plain,
% 16.57/11.71 ((~((~v1(constB170)) | (~v96(constB170)))) | (~v96(constB170))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23697, 23696])).
% 16.57/11.71 tff(23699,plain,
% 16.57/11.71 (~((~v1(constB170)) | (~v96(constB170)))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23698, 23693])).
% 16.57/11.71 tff(23700,plain,
% 16.57/11.71 ((~(v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170)))))) | v95(constB170) | ((~v1(constB170)) | (~v96(constB170)))),
% 16.57/11.71 inference(tautology,[status(thm)],[])).
% 16.57/11.71 tff(23701,plain,
% 16.57/11.71 (v95(constB170)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23700, 23699, 23680])).
% 16.57/11.71 tff(23702,plain,
% 16.57/11.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB169, constB170)) | (v104(constB170) <=> v102(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB169, constB170)) | (v104(constB170) <=> v102(constB169)))),
% 16.57/11.71 inference(rewrite,[status(thm)],[])).
% 16.57/11.71 tff(23703,plain,
% 16.57/11.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB169, constB170)) | (v104(constB170) <=> v102(constB169)))),
% 16.57/11.71 inference(quant_inst,[status(thm)],[])).
% 16.57/11.71 tff(23704,plain,
% 16.57/11.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB169, constB170)) | (v104(constB170) <=> v102(constB169))),
% 16.57/11.71 inference(modus_ponens,[status(thm)],[23703, 23702])).
% 16.57/11.71 tff(23705,plain,
% 16.57/11.71 (v104(constB170) <=> v102(constB169)),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23704, 22734, 2373])).
% 16.57/11.71 tff(23706,plain,
% 16.57/11.71 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB169) <=> (v105(constB169) | v106(constB169)))),
% 16.57/11.71 inference(quant_inst,[status(thm)],[])).
% 16.57/11.71 tff(23707,plain,
% 16.57/11.71 (v102(constB169) <=> (v105(constB169) | v106(constB169))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23706, 2384])).
% 16.57/11.71 tff(23708,plain,
% 16.57/11.71 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB169) <=> (~((~v107(constB169)) | (~v120(constB169)))))),
% 16.57/11.71 inference(quant_inst,[status(thm)],[])).
% 16.57/11.71 tff(23709,plain,
% 16.57/11.71 (v106(constB169) <=> (~((~v107(constB169)) | (~v120(constB169))))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23708, 2396])).
% 16.57/11.71 tff(23710,plain,
% 16.57/11.71 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB169) <=> (v108(constB169) | v119(constB169)))),
% 16.57/11.71 inference(quant_inst,[status(thm)],[])).
% 16.57/11.71 tff(23711,plain,
% 16.57/11.71 (v107(constB169) <=> (v108(constB169) | v119(constB169))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23710, 2405])).
% 16.57/11.71 tff(23712,plain,
% 16.57/11.71 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB169) <=> (v109(constB169) | v118(constB169)))),
% 16.57/11.71 inference(quant_inst,[status(thm)],[])).
% 16.57/11.71 tff(23713,plain,
% 16.57/11.71 (v108(constB169) <=> (v109(constB169) | v118(constB169))),
% 16.57/11.71 inference(unit_resolution,[status(thm)],[23712, 2414])).
% 16.57/11.71 tff(23714,plain,
% 16.57/11.71 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB169) <=> (v110(constB169) | v117(constB169)))),
% 16.57/11.71 inference(quant_inst,[status(thm)],[])).
% 16.57/11.71 tff(23715,plain,
% 16.57/11.71 (v109(constB169) <=> (v110(constB169) | v117(constB169))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23714, 2423])).
% 16.57/11.72 tff(23716,plain,
% 16.57/11.72 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB169) <=> (v111(constB169) | v116(constB169)))),
% 16.57/11.72 inference(quant_inst,[status(thm)],[])).
% 16.57/11.72 tff(23717,plain,
% 16.57/11.72 (v110(constB169) <=> (v111(constB169) | v116(constB169))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23716, 2432])).
% 16.57/11.72 tff(23718,plain,
% 16.57/11.72 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB169) <=> (v112(constB169) | v115(constB169)))),
% 16.57/11.72 inference(quant_inst,[status(thm)],[])).
% 16.57/11.72 tff(23719,plain,
% 16.57/11.72 (v111(constB169) <=> (v112(constB169) | v115(constB169))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23718, 2441])).
% 16.57/11.72 tff(23720,plain,
% 16.57/11.72 ((v112(constB169) | v115(constB169)) | (~v115(constB169))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23721,plain,
% 16.57/11.72 (v112(constB169) | v115(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23720, 23655])).
% 16.57/11.72 tff(23722,plain,
% 16.57/11.72 ((~(v111(constB169) <=> (v112(constB169) | v115(constB169)))) | v111(constB169) | (~(v112(constB169) | v115(constB169)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23723,plain,
% 16.57/11.72 (v111(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23722, 23721, 23719])).
% 16.57/11.72 tff(23724,plain,
% 16.57/11.72 ((v111(constB169) | v116(constB169)) | (~v111(constB169))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23725,plain,
% 16.57/11.72 (v111(constB169) | v116(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23724, 23723])).
% 16.57/11.72 tff(23726,plain,
% 16.57/11.72 ((~(v110(constB169) <=> (v111(constB169) | v116(constB169)))) | v110(constB169) | (~(v111(constB169) | v116(constB169)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23727,plain,
% 16.57/11.72 (v110(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23726, 23725, 23717])).
% 16.57/11.72 tff(23728,plain,
% 16.57/11.72 ((v110(constB169) | v117(constB169)) | (~v110(constB169))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23729,plain,
% 16.57/11.72 (v110(constB169) | v117(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23728, 23727])).
% 16.57/11.72 tff(23730,plain,
% 16.57/11.72 ((~(v109(constB169) <=> (v110(constB169) | v117(constB169)))) | v109(constB169) | (~(v110(constB169) | v117(constB169)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23731,plain,
% 16.57/11.72 (v109(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23730, 23729, 23715])).
% 16.57/11.72 tff(23732,plain,
% 16.57/11.72 ((v109(constB169) | v118(constB169)) | (~v109(constB169))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23733,plain,
% 16.57/11.72 (v109(constB169) | v118(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23732, 23731])).
% 16.57/11.72 tff(23734,plain,
% 16.57/11.72 ((~(v108(constB169) <=> (v109(constB169) | v118(constB169)))) | v108(constB169) | (~(v109(constB169) | v118(constB169)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23735,plain,
% 16.57/11.72 (v108(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23734, 23733, 23713])).
% 16.57/11.72 tff(23736,plain,
% 16.57/11.72 ((v108(constB169) | v119(constB169)) | (~v108(constB169))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23737,plain,
% 16.57/11.72 (v108(constB169) | v119(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23736, 23735])).
% 16.57/11.72 tff(23738,plain,
% 16.57/11.72 ((~(v107(constB169) <=> (v108(constB169) | v119(constB169)))) | v107(constB169) | (~(v108(constB169) | v119(constB169)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23739,plain,
% 16.57/11.72 (v107(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23738, 23737, 23711])).
% 16.57/11.72 tff(23740,plain,
% 16.57/11.72 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB169)) <=> v105(constB169))),
% 16.57/11.72 inference(quant_inst,[status(thm)],[])).
% 16.57/11.72 tff(23741,plain,
% 16.57/11.72 ((~v120(constB169)) <=> v105(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23740, 2484])).
% 16.57/11.72 tff(23742,plain,
% 16.57/11.72 ((~((~v120(constB169)) <=> v105(constB169))) | v120(constB169) | v105(constB169)),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23743,plain,
% 16.57/11.72 ((~((~v120(constB169)) <=> v105(constB169))) | v120(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23742, 22747])).
% 16.57/11.72 tff(23744,plain,
% 16.57/11.72 (v120(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23743, 23741])).
% 16.57/11.72 tff(23745,plain,
% 16.57/11.72 ((~((~v107(constB169)) | (~v120(constB169)))) | (~v107(constB169)) | (~v120(constB169))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23746,plain,
% 16.57/11.72 ((~((~v107(constB169)) | (~v120(constB169)))) | (~v107(constB169))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23745, 23744])).
% 16.57/11.72 tff(23747,plain,
% 16.57/11.72 (~((~v107(constB169)) | (~v120(constB169)))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23746, 23739])).
% 16.57/11.72 tff(23748,plain,
% 16.57/11.72 ((~(v106(constB169) <=> (~((~v107(constB169)) | (~v120(constB169)))))) | v106(constB169) | ((~v107(constB169)) | (~v120(constB169)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23749,plain,
% 16.57/11.72 (v106(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23748, 23747, 23709])).
% 16.57/11.72 tff(23750,plain,
% 16.57/11.72 ((v105(constB169) | v106(constB169)) | (~v106(constB169))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23751,plain,
% 16.57/11.72 (v105(constB169) | v106(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23750, 23749])).
% 16.57/11.72 tff(23752,plain,
% 16.57/11.72 ((~(v102(constB169) <=> (v105(constB169) | v106(constB169)))) | v102(constB169) | (~(v105(constB169) | v106(constB169)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23753,plain,
% 16.57/11.72 (v102(constB169)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23752, 23751, 23707])).
% 16.57/11.72 tff(23754,plain,
% 16.57/11.72 ((~(v104(constB170) <=> v102(constB169))) | v104(constB170) | (~v102(constB169))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23755,plain,
% 16.57/11.72 (v104(constB170)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23754, 23753, 23705])).
% 16.57/11.72 tff(23756,plain,
% 16.57/11.72 ((~((~v95(constB170)) | (~v104(constB170)))) | (~v95(constB170)) | (~v104(constB170))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23757,plain,
% 16.57/11.72 (~((~v95(constB170)) | (~v104(constB170)))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23756, 23755, 23701])).
% 16.57/11.72 tff(23758,plain,
% 16.57/11.72 ((~(v94(constB170) <=> (~((~v95(constB170)) | (~v104(constB170)))))) | v94(constB170) | ((~v95(constB170)) | (~v104(constB170)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23759,plain,
% 16.57/11.72 (v94(constB170)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23758, 23757, 23673])).
% 16.57/11.72 tff(23760,plain,
% 16.57/11.72 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB170)) | (~(((~v84(constB170, 0)) <=> v123(constB170, 0)) | ((~v84(constB170, 2)) <=> v123(constB170, 2)) | ((~v84(constB170, 1)) <=> v123(constB170, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB170)) | (~(((~v84(constB170, 0)) <=> v123(constB170, 0)) | ((~v84(constB170, 2)) <=> v123(constB170, 2)) | ((~v84(constB170, 1)) <=> v123(constB170, 1)))))),
% 16.57/11.72 inference(rewrite,[status(thm)],[])).
% 16.57/11.72 tff(23761,plain,
% 16.57/11.72 (((~v94(constB170)) | (~(((~v84(constB170, 2)) <=> v123(constB170, 2)) | ((~v84(constB170, 1)) <=> v123(constB170, 1)) | ((~v84(constB170, 0)) <=> v123(constB170, 0))))) <=> ((~v94(constB170)) | (~(((~v84(constB170, 0)) <=> v123(constB170, 0)) | ((~v84(constB170, 2)) <=> v123(constB170, 2)) | ((~v84(constB170, 1)) <=> v123(constB170, 1)))))),
% 16.57/11.72 inference(rewrite,[status(thm)],[])).
% 16.57/11.72 tff(23762,plain,
% 16.57/11.72 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB170)) | (~(((~v84(constB170, 2)) <=> v123(constB170, 2)) | ((~v84(constB170, 1)) <=> v123(constB170, 1)) | ((~v84(constB170, 0)) <=> v123(constB170, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB170)) | (~(((~v84(constB170, 0)) <=> v123(constB170, 0)) | ((~v84(constB170, 2)) <=> v123(constB170, 2)) | ((~v84(constB170, 1)) <=> v123(constB170, 1))))))),
% 16.57/11.72 inference(monotonicity,[status(thm)],[23761])).
% 16.57/11.72 tff(23763,plain,
% 16.57/11.72 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB170)) | (~(((~v84(constB170, 2)) <=> v123(constB170, 2)) | ((~v84(constB170, 1)) <=> v123(constB170, 1)) | ((~v84(constB170, 0)) <=> v123(constB170, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB170)) | (~(((~v84(constB170, 0)) <=> v123(constB170, 0)) | ((~v84(constB170, 2)) <=> v123(constB170, 2)) | ((~v84(constB170, 1)) <=> v123(constB170, 1)))))),
% 16.57/11.72 inference(transitivity,[status(thm)],[23762, 23760])).
% 16.57/11.72 tff(23764,plain,
% 16.57/11.72 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB170)) | (~(((~v84(constB170, 2)) <=> v123(constB170, 2)) | ((~v84(constB170, 1)) <=> v123(constB170, 1)) | ((~v84(constB170, 0)) <=> v123(constB170, 0)))))),
% 16.57/11.72 inference(quant_inst,[status(thm)],[])).
% 16.57/11.72 tff(23765,plain,
% 16.57/11.72 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB170)) | (~(((~v84(constB170, 0)) <=> v123(constB170, 0)) | ((~v84(constB170, 2)) <=> v123(constB170, 2)) | ((~v84(constB170, 1)) <=> v123(constB170, 1))))),
% 16.57/11.72 inference(modus_ponens,[status(thm)],[23764, 23763])).
% 16.57/11.72 tff(23766,plain,
% 16.57/11.72 ((~v94(constB170)) | (~(((~v84(constB170, 0)) <=> v123(constB170, 0)) | ((~v84(constB170, 2)) <=> v123(constB170, 2)) | ((~v84(constB170, 1)) <=> v123(constB170, 1))))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23765, 2517])).
% 16.57/11.72 tff(23767,plain,
% 16.57/11.72 (~(((~v84(constB170, 0)) <=> v123(constB170, 0)) | ((~v84(constB170, 2)) <=> v123(constB170, 2)) | ((~v84(constB170, 1)) <=> v123(constB170, 1)))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23766, 23759])).
% 16.57/11.72 tff(23768,plain,
% 16.57/11.72 ((((~v84(constB170, 0)) <=> v123(constB170, 0)) | ((~v84(constB170, 2)) <=> v123(constB170, 2)) | ((~v84(constB170, 1)) <=> v123(constB170, 1))) | (~((~v84(constB170, 2)) <=> v123(constB170, 2)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23769,plain,
% 16.57/11.72 (~((~v84(constB170, 2)) <=> v123(constB170, 2))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23768, 23767])).
% 16.57/11.72 tff(23770,plain,
% 16.57/11.72 (((~v84(constB170, 2)) <=> v123(constB170, 2)) | (~v84(constB170, 2)) | v123(constB170, 2)),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23771,plain,
% 16.57/11.72 (~v84(constB170, 2)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23770, 23769, 23669])).
% 16.57/11.72 tff(23772,plain,
% 16.57/11.72 (((~v84(constB171, 2)) <=> v84(constB170, 2)) | (~v84(constB171, 2)) | v84(constB170, 2)),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23773,plain,
% 16.57/11.72 (~v84(constB171, 2)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23772, 23771, 22731])).
% 16.57/11.72 tff(23774,plain,
% 16.57/11.72 ((((~v84(constB171, 1)) <=> v84(constB170, 1)) | ((~v84(constB171, 2)) <=> v84(constB170, 2)) | ((~v84(constB171, 0)) <=> v84(constB170, 0))) | (~((~v84(constB171, 0)) <=> v84(constB170, 0)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23775,plain,
% 16.57/11.72 (~((~v84(constB171, 0)) <=> v84(constB170, 0))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23774, 22729])).
% 16.57/11.72 tff(23776,plain,
% 16.57/11.72 ((((~v123(constB170, 2)) <=> v121(constB169, 2)) | ((~v123(constB170, 1)) <=> v121(constB169, 1)) | ((~v123(constB170, 0)) <=> v121(constB169, 0))) | (~((~v123(constB170, 0)) <=> v121(constB169, 0)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23777,plain,
% 16.57/11.72 (~((~v123(constB170, 0)) <=> v121(constB169, 0))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23776, 22738])).
% 16.57/11.72 tff(23778,plain,
% 16.57/11.72 ((((~v121(constB169, 2)) <=> v124(constB169, 2)) | ((~v121(constB169, 0)) <=> v124(constB169, 0)) | ((~v121(constB169, 1)) <=> v124(constB169, 1))) | (~((~v121(constB169, 0)) <=> v124(constB169, 0)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23779,plain,
% 16.57/11.72 (~((~v121(constB169, 0)) <=> v124(constB169, 0))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23778, 22752])).
% 16.57/11.72 tff(23780,plain,
% 16.57/11.72 ((v124(constB169, 2) | (~v124(constB169, 0)) | (~v124(constB169, 1))) | v124(constB169, 0)),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23781,plain,
% 16.57/11.72 (v124(constB169, 0)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23780, 23663])).
% 16.57/11.72 tff(23782,plain,
% 16.57/11.72 (((~v121(constB169, 0)) <=> v124(constB169, 0)) | v121(constB169, 0) | (~v124(constB169, 0))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23783,plain,
% 16.57/11.72 (v121(constB169, 0)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23782, 23781, 23779])).
% 16.57/11.72 tff(23784,plain,
% 16.57/11.72 (((~v123(constB170, 0)) <=> v121(constB169, 0)) | v123(constB170, 0) | (~v121(constB169, 0))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23785,plain,
% 16.57/11.72 (v123(constB170, 0)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23784, 23783, 23777])).
% 16.57/11.72 tff(23786,plain,
% 16.57/11.72 ((((~v84(constB170, 0)) <=> v123(constB170, 0)) | ((~v84(constB170, 2)) <=> v123(constB170, 2)) | ((~v84(constB170, 1)) <=> v123(constB170, 1))) | (~((~v84(constB170, 0)) <=> v123(constB170, 0)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23787,plain,
% 16.57/11.72 (~((~v84(constB170, 0)) <=> v123(constB170, 0))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23786, 23767])).
% 16.57/11.72 tff(23788,plain,
% 16.57/11.72 (((~v84(constB170, 0)) <=> v123(constB170, 0)) | v84(constB170, 0) | (~v123(constB170, 0))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23789,plain,
% 16.57/11.72 (v84(constB170, 0)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23788, 23787, 23785])).
% 16.57/11.72 tff(23790,plain,
% 16.57/11.72 (((~v84(constB171, 0)) <=> v84(constB170, 0)) | v84(constB171, 0) | (~v84(constB170, 0))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23791,plain,
% 16.57/11.72 (v84(constB171, 0)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23790, 23789, 23775])).
% 16.57/11.72 tff(23792,plain,
% 16.57/11.72 ((((~v84(constB171, 1)) <=> v84(constB170, 1)) | ((~v84(constB171, 2)) <=> v84(constB170, 2)) | ((~v84(constB171, 0)) <=> v84(constB170, 0))) | (~((~v84(constB171, 1)) <=> v84(constB170, 1)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23793,plain,
% 16.57/11.72 (~((~v84(constB171, 1)) <=> v84(constB170, 1))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23792, 22729])).
% 16.57/11.72 tff(23794,plain,
% 16.57/11.72 ((((~v123(constB170, 2)) <=> v121(constB169, 2)) | ((~v123(constB170, 1)) <=> v121(constB169, 1)) | ((~v123(constB170, 0)) <=> v121(constB169, 0))) | (~((~v123(constB170, 1)) <=> v121(constB169, 1)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23795,plain,
% 16.57/11.72 (~((~v123(constB170, 1)) <=> v121(constB169, 1))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23794, 22738])).
% 16.57/11.72 tff(23796,plain,
% 16.57/11.72 ((((~v121(constB169, 2)) <=> v124(constB169, 2)) | ((~v121(constB169, 0)) <=> v124(constB169, 0)) | ((~v121(constB169, 1)) <=> v124(constB169, 1))) | (~((~v121(constB169, 1)) <=> v124(constB169, 1)))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23797,plain,
% 16.57/11.72 (~((~v121(constB169, 1)) <=> v124(constB169, 1))),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23796, 22752])).
% 16.57/11.72 tff(23798,plain,
% 16.57/11.72 ((v124(constB169, 2) | (~v124(constB169, 0)) | (~v124(constB169, 1))) | v124(constB169, 1)),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23799,plain,
% 16.57/11.72 (v124(constB169, 1)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23798, 23663])).
% 16.57/11.72 tff(23800,plain,
% 16.57/11.72 (((~v121(constB169, 1)) <=> v124(constB169, 1)) | v121(constB169, 1) | (~v124(constB169, 1))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23801,plain,
% 16.57/11.72 (v121(constB169, 1)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23800, 23799, 23797])).
% 16.57/11.72 tff(23802,plain,
% 16.57/11.72 (((~v123(constB170, 1)) <=> v121(constB169, 1)) | v123(constB170, 1) | (~v121(constB169, 1))),
% 16.57/11.72 inference(tautology,[status(thm)],[])).
% 16.57/11.72 tff(23803,plain,
% 16.57/11.72 (v123(constB170, 1)),
% 16.57/11.72 inference(unit_resolution,[status(thm)],[23802, 23801, 23795])).
% 16.57/11.72 tff(23804,plain,
% 16.57/11.72 ((((~v84(constB170, 0)) <=> v123(constB170, 0)) | ((~v84(constB170, 2)) <=> v123(constB170, 2)) | ((~v84(constB170, 1)) <=> v123(constB170, 1))) | (~((~v84(constB170, 1)) <=> v123(constB170, 1)))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23805,plain,
% 16.57/11.73 (~((~v84(constB170, 1)) <=> v123(constB170, 1))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23804, 23767])).
% 16.57/11.73 tff(23806,plain,
% 16.57/11.73 (((~v84(constB170, 1)) <=> v123(constB170, 1)) | v84(constB170, 1) | (~v123(constB170, 1))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23807,plain,
% 16.57/11.73 (v84(constB170, 1)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23806, 23805, 23803])).
% 16.57/11.73 tff(23808,plain,
% 16.57/11.73 (((~v84(constB171, 1)) <=> v84(constB170, 1)) | v84(constB171, 1) | (~v84(constB170, 1))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23809,plain,
% 16.57/11.73 (v84(constB171, 1)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23808, 23807, 23793])).
% 16.57/11.73 tff(23810,plain,
% 16.57/11.73 ((~(v84(constB171, 2) | (~v84(constB171, 1)) | (~v84(constB171, 0)))) | v84(constB171, 2) | (~v84(constB171, 1)) | (~v84(constB171, 0))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23811,plain,
% 16.57/11.73 (~(v84(constB171, 2) | (~v84(constB171, 1)) | (~v84(constB171, 0)))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23810, 23809, 23791, 23773])).
% 16.57/11.73 tff(23812,plain,
% 16.57/11.73 ((~(v116(constB171) <=> (~(v84(constB171, 2) | (~v84(constB171, 1)) | (~v84(constB171, 0)))))) | v116(constB171) | (v84(constB171, 2) | (~v84(constB171, 1)) | (~v84(constB171, 0)))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23813,plain,
% 16.57/11.73 (v116(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23812, 23811, 22695])).
% 16.57/11.73 tff(23814,plain,
% 16.57/11.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB171)) | (~(v124(constB171, 0) | v124(constB171, 1) | (~v124(constB171, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB171)) | (~(v124(constB171, 0) | v124(constB171, 1) | (~v124(constB171, 2)))))),
% 16.57/11.73 inference(rewrite,[status(thm)],[])).
% 16.57/11.73 tff(23815,plain,
% 16.57/11.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB171)) | (~(v124(constB171, 0) | v124(constB171, 1) | (~v124(constB171, 2)))))),
% 16.57/11.73 inference(quant_inst,[status(thm)],[])).
% 16.57/11.73 tff(23816,plain,
% 16.57/11.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB171)) | (~(v124(constB171, 0) | v124(constB171, 1) | (~v124(constB171, 2))))),
% 16.57/11.73 inference(modus_ponens,[status(thm)],[23815, 23814])).
% 16.57/11.73 tff(23817,plain,
% 16.57/11.73 ((~v116(constB171)) | (~(v124(constB171, 0) | v124(constB171, 1) | (~v124(constB171, 2))))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23816, 3309])).
% 16.57/11.73 tff(23818,plain,
% 16.57/11.73 (~(v124(constB171, 0) | v124(constB171, 1) | (~v124(constB171, 2)))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23817, 23813])).
% 16.57/11.73 tff(23819,plain,
% 16.57/11.73 ((v124(constB171, 0) | v124(constB171, 1) | (~v124(constB171, 2))) | v124(constB171, 2)),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23820,plain,
% 16.57/11.73 (v124(constB171, 2)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23819, 23818])).
% 16.57/11.73 tff(23821,plain,
% 16.57/11.73 (((~v121(constB171, 2)) <=> v124(constB171, 2)) | v121(constB171, 2) | (~v124(constB171, 2))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23822,plain,
% 16.57/11.73 (v121(constB171, 2)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23821, 23820, 22693])).
% 16.57/11.73 tff(23823,plain,
% 16.57/11.73 (((~v123(constB172, 2)) <=> v121(constB171, 2)) | v123(constB172, 2) | (~v121(constB171, 2))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23824,plain,
% 16.57/11.73 (v123(constB172, 2)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23823, 23822, 22679])).
% 16.57/11.73 tff(23825,plain,
% 16.57/11.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB171, constB172)) | (v94(constB172) <=> (~((~v95(constB172)) | (~v104(constB172))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB171, constB172)) | (v94(constB172) <=> (~((~v95(constB172)) | (~v104(constB172))))))),
% 16.57/11.73 inference(rewrite,[status(thm)],[])).
% 16.57/11.73 tff(23826,plain,
% 16.57/11.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB171, constB172)) | (v94(constB172) <=> (~((~v95(constB172)) | (~v104(constB172))))))),
% 16.57/11.73 inference(quant_inst,[status(thm)],[])).
% 16.57/11.73 tff(23827,plain,
% 16.57/11.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB171, constB172)) | (v94(constB172) <=> (~((~v95(constB172)) | (~v104(constB172)))))),
% 16.57/11.73 inference(modus_ponens,[status(thm)],[23826, 23825])).
% 16.57/11.73 tff(23828,plain,
% 16.57/11.73 (v94(constB172) <=> (~((~v95(constB172)) | (~v104(constB172))))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23827, 22673, 770])).
% 16.57/11.73 tff(23829,plain,
% 16.57/11.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172))))))),
% 16.57/11.73 inference(rewrite,[status(thm)],[])).
% 16.57/11.73 tff(23830,plain,
% 16.57/11.73 (((~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v96(constB172)) | (~v1(constB172)))))) <=> ((~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172))))))),
% 16.57/11.73 inference(rewrite,[status(thm)],[])).
% 16.57/11.73 tff(23831,plain,
% 16.57/11.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v96(constB172)) | (~v1(constB172))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172)))))))),
% 16.57/11.73 inference(monotonicity,[status(thm)],[23830])).
% 16.57/11.73 tff(23832,plain,
% 16.57/11.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v96(constB172)) | (~v1(constB172))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172))))))),
% 16.57/11.73 inference(transitivity,[status(thm)],[23831, 23829])).
% 16.57/11.73 tff(23833,plain,
% 16.57/11.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v96(constB172)) | (~v1(constB172))))))),
% 16.57/11.73 inference(quant_inst,[status(thm)],[])).
% 16.57/11.73 tff(23834,plain,
% 16.57/11.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172)))))),
% 16.57/11.73 inference(modus_ponens,[status(thm)],[23833, 23832])).
% 16.57/11.73 tff(23835,plain,
% 16.57/11.73 (v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172))))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23834, 22673, 790])).
% 16.57/11.73 tff(23836,plain,
% 16.57/11.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB171, constB172)) | ((~v96(constB172)) <=> v98(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB171, constB172)) | ((~v96(constB172)) <=> v98(constB172)))),
% 16.57/11.73 inference(rewrite,[status(thm)],[])).
% 16.57/11.73 tff(23837,plain,
% 16.57/11.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB171, constB172)) | ((~v96(constB172)) <=> v98(constB172)))),
% 16.57/11.73 inference(quant_inst,[status(thm)],[])).
% 16.57/11.73 tff(23838,plain,
% 16.57/11.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB171, constB172)) | ((~v96(constB172)) <=> v98(constB172))),
% 16.57/11.73 inference(modus_ponens,[status(thm)],[23837, 23836])).
% 16.57/11.73 tff(23839,plain,
% 16.57/11.73 ((~v96(constB172)) <=> v98(constB172)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23838, 22673, 2332])).
% 16.57/11.73 tff(23840,plain,
% 16.57/11.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB171, constB172)) | (v98(constB172) <=> v1(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB171, constB172)) | (v98(constB172) <=> v1(constB171)))),
% 16.57/11.73 inference(rewrite,[status(thm)],[])).
% 16.57/11.73 tff(23841,plain,
% 16.57/11.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB171, constB172)) | (v98(constB172) <=> v1(constB171)))),
% 16.57/11.73 inference(quant_inst,[status(thm)],[])).
% 16.57/11.73 tff(23842,plain,
% 16.57/11.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB171, constB172)) | (v98(constB172) <=> v1(constB171))),
% 16.57/11.73 inference(modus_ponens,[status(thm)],[23841, 23840])).
% 16.57/11.73 tff(23843,plain,
% 16.57/11.73 (v98(constB172) <=> v1(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23842, 22673, 2346])).
% 16.57/11.73 tff(23844,plain,
% 16.57/11.73 ((~(v98(constB172) <=> v1(constB171))) | (~v98(constB172)) | v1(constB171)),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23845,plain,
% 16.57/11.73 ((~(v98(constB172) <=> v1(constB171))) | (~v98(constB172))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23844, 22712])).
% 16.57/11.73 tff(23846,plain,
% 16.57/11.73 (~v98(constB172)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23845, 23843])).
% 16.57/11.73 tff(23847,plain,
% 16.57/11.73 ((~((~v96(constB172)) <=> v98(constB172))) | v96(constB172) | v98(constB172)),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23848,plain,
% 16.57/11.73 (v96(constB172)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23847, 23846, 23839])).
% 16.57/11.73 tff(23849,plain,
% 16.57/11.73 (v1(constB172) <=> v1(constB172)),
% 16.57/11.73 inference(rewrite,[status(thm)],[])).
% 16.57/11.73 tff(23850,axiom,(v1(constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_172')).
% 16.57/11.73 tff(23851,plain,
% 16.57/11.73 (v1(constB172)),
% 16.57/11.73 inference(modus_ponens,[status(thm)],[23850, 23849])).
% 16.57/11.73 tff(23852,plain,
% 16.57/11.73 ((~((~v1(constB172)) | (~v96(constB172)))) | (~v1(constB172)) | (~v96(constB172))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23853,plain,
% 16.57/11.73 ((~((~v1(constB172)) | (~v96(constB172)))) | (~v96(constB172))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23852, 23851])).
% 16.57/11.73 tff(23854,plain,
% 16.57/11.73 (~((~v1(constB172)) | (~v96(constB172)))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23853, 23848])).
% 16.57/11.73 tff(23855,plain,
% 16.57/11.73 ((~(v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172)))))) | v95(constB172) | ((~v1(constB172)) | (~v96(constB172)))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23856,plain,
% 16.57/11.73 (v95(constB172)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23855, 23854, 23835])).
% 16.57/11.73 tff(23857,plain,
% 16.57/11.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB171, constB172)) | (v104(constB172) <=> v102(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB171, constB172)) | (v104(constB172) <=> v102(constB171)))),
% 16.57/11.73 inference(rewrite,[status(thm)],[])).
% 16.57/11.73 tff(23858,plain,
% 16.57/11.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB171, constB172)) | (v104(constB172) <=> v102(constB171)))),
% 16.57/11.73 inference(quant_inst,[status(thm)],[])).
% 16.57/11.73 tff(23859,plain,
% 16.57/11.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB171, constB172)) | (v104(constB172) <=> v102(constB171))),
% 16.57/11.73 inference(modus_ponens,[status(thm)],[23858, 23857])).
% 16.57/11.73 tff(23860,plain,
% 16.57/11.73 (v104(constB172) <=> v102(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23859, 22673, 2373])).
% 16.57/11.73 tff(23861,plain,
% 16.57/11.73 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB171) <=> (v105(constB171) | v106(constB171)))),
% 16.57/11.73 inference(quant_inst,[status(thm)],[])).
% 16.57/11.73 tff(23862,plain,
% 16.57/11.73 (v102(constB171) <=> (v105(constB171) | v106(constB171))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23861, 2384])).
% 16.57/11.73 tff(23863,plain,
% 16.57/11.73 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB171) <=> (~((~v107(constB171)) | (~v120(constB171)))))),
% 16.57/11.73 inference(quant_inst,[status(thm)],[])).
% 16.57/11.73 tff(23864,plain,
% 16.57/11.73 (v106(constB171) <=> (~((~v107(constB171)) | (~v120(constB171))))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23863, 2396])).
% 16.57/11.73 tff(23865,plain,
% 16.57/11.73 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB171) <=> (v108(constB171) | v119(constB171)))),
% 16.57/11.73 inference(quant_inst,[status(thm)],[])).
% 16.57/11.73 tff(23866,plain,
% 16.57/11.73 (v107(constB171) <=> (v108(constB171) | v119(constB171))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23865, 2405])).
% 16.57/11.73 tff(23867,plain,
% 16.57/11.73 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB171) <=> (v109(constB171) | v118(constB171)))),
% 16.57/11.73 inference(quant_inst,[status(thm)],[])).
% 16.57/11.73 tff(23868,plain,
% 16.57/11.73 (v108(constB171) <=> (v109(constB171) | v118(constB171))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23867, 2414])).
% 16.57/11.73 tff(23869,plain,
% 16.57/11.73 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB171) <=> (v110(constB171) | v117(constB171)))),
% 16.57/11.73 inference(quant_inst,[status(thm)],[])).
% 16.57/11.73 tff(23870,plain,
% 16.57/11.73 (v109(constB171) <=> (v110(constB171) | v117(constB171))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23869, 2423])).
% 16.57/11.73 tff(23871,plain,
% 16.57/11.73 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB171) <=> (v111(constB171) | v116(constB171)))),
% 16.57/11.73 inference(quant_inst,[status(thm)],[])).
% 16.57/11.73 tff(23872,plain,
% 16.57/11.73 (v110(constB171) <=> (v111(constB171) | v116(constB171))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23871, 2432])).
% 16.57/11.73 tff(23873,plain,
% 16.57/11.73 ((v111(constB171) | v116(constB171)) | (~v116(constB171))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23874,plain,
% 16.57/11.73 (v111(constB171) | v116(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23873, 23813])).
% 16.57/11.73 tff(23875,plain,
% 16.57/11.73 ((~(v110(constB171) <=> (v111(constB171) | v116(constB171)))) | v110(constB171) | (~(v111(constB171) | v116(constB171)))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23876,plain,
% 16.57/11.73 (v110(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23875, 23874, 23872])).
% 16.57/11.73 tff(23877,plain,
% 16.57/11.73 ((v110(constB171) | v117(constB171)) | (~v110(constB171))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23878,plain,
% 16.57/11.73 (v110(constB171) | v117(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23877, 23876])).
% 16.57/11.73 tff(23879,plain,
% 16.57/11.73 ((~(v109(constB171) <=> (v110(constB171) | v117(constB171)))) | v109(constB171) | (~(v110(constB171) | v117(constB171)))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23880,plain,
% 16.57/11.73 (v109(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23879, 23878, 23870])).
% 16.57/11.73 tff(23881,plain,
% 16.57/11.73 ((v109(constB171) | v118(constB171)) | (~v109(constB171))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23882,plain,
% 16.57/11.73 (v109(constB171) | v118(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23881, 23880])).
% 16.57/11.73 tff(23883,plain,
% 16.57/11.73 ((~(v108(constB171) <=> (v109(constB171) | v118(constB171)))) | v108(constB171) | (~(v109(constB171) | v118(constB171)))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23884,plain,
% 16.57/11.73 (v108(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23883, 23882, 23868])).
% 16.57/11.73 tff(23885,plain,
% 16.57/11.73 ((v108(constB171) | v119(constB171)) | (~v108(constB171))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23886,plain,
% 16.57/11.73 (v108(constB171) | v119(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23885, 23884])).
% 16.57/11.73 tff(23887,plain,
% 16.57/11.73 ((~(v107(constB171) <=> (v108(constB171) | v119(constB171)))) | v107(constB171) | (~(v108(constB171) | v119(constB171)))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23888,plain,
% 16.57/11.73 (v107(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23887, 23886, 23866])).
% 16.57/11.73 tff(23889,plain,
% 16.57/11.73 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB171)) <=> v105(constB171))),
% 16.57/11.73 inference(quant_inst,[status(thm)],[])).
% 16.57/11.73 tff(23890,plain,
% 16.57/11.73 ((~v120(constB171)) <=> v105(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23889, 2484])).
% 16.57/11.73 tff(23891,plain,
% 16.57/11.73 ((~((~v120(constB171)) <=> v105(constB171))) | v120(constB171) | v105(constB171)),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23892,plain,
% 16.57/11.73 ((~((~v120(constB171)) <=> v105(constB171))) | v120(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23891, 22686])).
% 16.57/11.73 tff(23893,plain,
% 16.57/11.73 (v120(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23892, 23890])).
% 16.57/11.73 tff(23894,plain,
% 16.57/11.73 ((~((~v107(constB171)) | (~v120(constB171)))) | (~v107(constB171)) | (~v120(constB171))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23895,plain,
% 16.57/11.73 ((~((~v107(constB171)) | (~v120(constB171)))) | (~v107(constB171))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23894, 23893])).
% 16.57/11.73 tff(23896,plain,
% 16.57/11.73 (~((~v107(constB171)) | (~v120(constB171)))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23895, 23888])).
% 16.57/11.73 tff(23897,plain,
% 16.57/11.73 ((~(v106(constB171) <=> (~((~v107(constB171)) | (~v120(constB171)))))) | v106(constB171) | ((~v107(constB171)) | (~v120(constB171)))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23898,plain,
% 16.57/11.73 (v106(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23897, 23896, 23864])).
% 16.57/11.73 tff(23899,plain,
% 16.57/11.73 ((v105(constB171) | v106(constB171)) | (~v106(constB171))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23900,plain,
% 16.57/11.73 (v105(constB171) | v106(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23899, 23898])).
% 16.57/11.73 tff(23901,plain,
% 16.57/11.73 ((~(v102(constB171) <=> (v105(constB171) | v106(constB171)))) | v102(constB171) | (~(v105(constB171) | v106(constB171)))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23902,plain,
% 16.57/11.73 (v102(constB171)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23901, 23900, 23862])).
% 16.57/11.73 tff(23903,plain,
% 16.57/11.73 ((~(v104(constB172) <=> v102(constB171))) | v104(constB172) | (~v102(constB171))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23904,plain,
% 16.57/11.73 (v104(constB172)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23903, 23902, 23860])).
% 16.57/11.73 tff(23905,plain,
% 16.57/11.73 ((~((~v95(constB172)) | (~v104(constB172)))) | (~v95(constB172)) | (~v104(constB172))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23906,plain,
% 16.57/11.73 (~((~v95(constB172)) | (~v104(constB172)))),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23905, 23904, 23856])).
% 16.57/11.73 tff(23907,plain,
% 16.57/11.73 ((~(v94(constB172) <=> (~((~v95(constB172)) | (~v104(constB172)))))) | v94(constB172) | ((~v95(constB172)) | (~v104(constB172)))),
% 16.57/11.73 inference(tautology,[status(thm)],[])).
% 16.57/11.73 tff(23908,plain,
% 16.57/11.73 (v94(constB172)),
% 16.57/11.73 inference(unit_resolution,[status(thm)],[23907, 23906, 23828])).
% 16.57/11.73 tff(23909,plain,
% 16.57/11.73 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB172)) | (~(((~v84(constB172, 2)) <=> v123(constB172, 2)) | ((~v84(constB172, 1)) <=> v123(constB172, 1)) | ((~v84(constB172, 0)) <=> v123(constB172, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB172)) | (~(((~v84(constB172, 2)) <=> v123(constB172, 2)) | ((~v84(constB172, 1)) <=> v123(constB172, 1)) | ((~v84(constB172, 0)) <=> v123(constB172, 0)))))),
% 16.60/11.74 inference(rewrite,[status(thm)],[])).
% 16.60/11.74 tff(23910,plain,
% 16.60/11.74 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB172)) | (~(((~v84(constB172, 2)) <=> v123(constB172, 2)) | ((~v84(constB172, 1)) <=> v123(constB172, 1)) | ((~v84(constB172, 0)) <=> v123(constB172, 0)))))),
% 16.60/11.74 inference(quant_inst,[status(thm)],[])).
% 16.60/11.74 tff(23911,plain,
% 16.60/11.74 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB172)) | (~(((~v84(constB172, 2)) <=> v123(constB172, 2)) | ((~v84(constB172, 1)) <=> v123(constB172, 1)) | ((~v84(constB172, 0)) <=> v123(constB172, 0))))),
% 16.60/11.74 inference(modus_ponens,[status(thm)],[23910, 23909])).
% 16.60/11.74 tff(23912,plain,
% 16.60/11.74 ((~v94(constB172)) | (~(((~v84(constB172, 2)) <=> v123(constB172, 2)) | ((~v84(constB172, 1)) <=> v123(constB172, 1)) | ((~v84(constB172, 0)) <=> v123(constB172, 0))))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23911, 2517])).
% 16.60/11.74 tff(23913,plain,
% 16.60/11.74 (~(((~v84(constB172, 2)) <=> v123(constB172, 2)) | ((~v84(constB172, 1)) <=> v123(constB172, 1)) | ((~v84(constB172, 0)) <=> v123(constB172, 0)))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23912, 23908])).
% 16.60/11.74 tff(23914,plain,
% 16.60/11.74 ((((~v84(constB172, 2)) <=> v123(constB172, 2)) | ((~v84(constB172, 1)) <=> v123(constB172, 1)) | ((~v84(constB172, 0)) <=> v123(constB172, 0))) | (~((~v84(constB172, 2)) <=> v123(constB172, 2)))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23915,plain,
% 16.60/11.74 (~((~v84(constB172, 2)) <=> v123(constB172, 2))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23914, 23913])).
% 16.60/11.74 tff(23916,plain,
% 16.60/11.74 (((~v84(constB172, 2)) <=> v123(constB172, 2)) | v84(constB172, 2) | (~v123(constB172, 2))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23917,plain,
% 16.60/11.74 (v84(constB172, 2)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23916, 23915, 23824])).
% 16.60/11.74 tff(23918,plain,
% 16.60/11.74 (((~v84(constB173, 2)) <=> v84(constB172, 2)) | v84(constB173, 2) | (~v84(constB172, 2))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23919,plain,
% 16.60/11.74 (v84(constB173, 2)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23918, 23917, 22670])).
% 16.60/11.74 tff(23920,plain,
% 16.60/11.74 ((((~v84(constB173, 1)) <=> v84(constB172, 1)) | ((~v84(constB173, 2)) <=> v84(constB172, 2)) | ((~v84(constB173, 0)) <=> v84(constB172, 0))) | (~((~v84(constB173, 0)) <=> v84(constB172, 0)))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23921,plain,
% 16.60/11.74 (~((~v84(constB173, 0)) <=> v84(constB172, 0))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23920, 22668])).
% 16.60/11.74 tff(23922,plain,
% 16.60/11.74 ((((~v123(constB172, 2)) <=> v121(constB171, 2)) | ((~v123(constB172, 1)) <=> v121(constB171, 1)) | ((~v123(constB172, 0)) <=> v121(constB171, 0))) | (~((~v123(constB172, 0)) <=> v121(constB171, 0)))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23923,plain,
% 16.60/11.74 (~((~v123(constB172, 0)) <=> v121(constB171, 0))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23922, 22677])).
% 16.60/11.74 tff(23924,plain,
% 16.60/11.74 ((((~v121(constB171, 2)) <=> v124(constB171, 2)) | ((~v121(constB171, 0)) <=> v124(constB171, 0)) | ((~v121(constB171, 1)) <=> v124(constB171, 1))) | (~((~v121(constB171, 0)) <=> v124(constB171, 0)))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23925,plain,
% 16.60/11.74 (~((~v121(constB171, 0)) <=> v124(constB171, 0))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23924, 22691])).
% 16.60/11.74 tff(23926,plain,
% 16.60/11.74 ((v124(constB171, 0) | v124(constB171, 1) | (~v124(constB171, 2))) | (~v124(constB171, 0))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23927,plain,
% 16.60/11.74 (~v124(constB171, 0)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23926, 23818])).
% 16.60/11.74 tff(23928,plain,
% 16.60/11.74 (((~v121(constB171, 0)) <=> v124(constB171, 0)) | (~v121(constB171, 0)) | v124(constB171, 0)),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23929,plain,
% 16.60/11.74 (~v121(constB171, 0)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23928, 23927, 23925])).
% 16.60/11.74 tff(23930,plain,
% 16.60/11.74 (((~v123(constB172, 0)) <=> v121(constB171, 0)) | (~v123(constB172, 0)) | v121(constB171, 0)),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23931,plain,
% 16.60/11.74 (~v123(constB172, 0)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23930, 23929, 23923])).
% 16.60/11.74 tff(23932,plain,
% 16.60/11.74 ((((~v84(constB172, 2)) <=> v123(constB172, 2)) | ((~v84(constB172, 1)) <=> v123(constB172, 1)) | ((~v84(constB172, 0)) <=> v123(constB172, 0))) | (~((~v84(constB172, 0)) <=> v123(constB172, 0)))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23933,plain,
% 16.60/11.74 (~((~v84(constB172, 0)) <=> v123(constB172, 0))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23932, 23913])).
% 16.60/11.74 tff(23934,plain,
% 16.60/11.74 (((~v84(constB172, 0)) <=> v123(constB172, 0)) | (~v84(constB172, 0)) | v123(constB172, 0)),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23935,plain,
% 16.60/11.74 (~v84(constB172, 0)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23934, 23933, 23931])).
% 16.60/11.74 tff(23936,plain,
% 16.60/11.74 (((~v84(constB173, 0)) <=> v84(constB172, 0)) | (~v84(constB173, 0)) | v84(constB172, 0)),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23937,plain,
% 16.60/11.74 (~v84(constB173, 0)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23936, 23935, 23921])).
% 16.60/11.74 tff(23938,plain,
% 16.60/11.74 ((((~v84(constB173, 1)) <=> v84(constB172, 1)) | ((~v84(constB173, 2)) <=> v84(constB172, 2)) | ((~v84(constB173, 0)) <=> v84(constB172, 0))) | (~((~v84(constB173, 1)) <=> v84(constB172, 1)))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23939,plain,
% 16.60/11.74 (~((~v84(constB173, 1)) <=> v84(constB172, 1))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23938, 22668])).
% 16.60/11.74 tff(23940,plain,
% 16.60/11.74 ((((~v123(constB172, 2)) <=> v121(constB171, 2)) | ((~v123(constB172, 1)) <=> v121(constB171, 1)) | ((~v123(constB172, 0)) <=> v121(constB171, 0))) | (~((~v123(constB172, 1)) <=> v121(constB171, 1)))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23941,plain,
% 16.60/11.74 (~((~v123(constB172, 1)) <=> v121(constB171, 1))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23940, 22677])).
% 16.60/11.74 tff(23942,plain,
% 16.60/11.74 ((((~v121(constB171, 2)) <=> v124(constB171, 2)) | ((~v121(constB171, 0)) <=> v124(constB171, 0)) | ((~v121(constB171, 1)) <=> v124(constB171, 1))) | (~((~v121(constB171, 1)) <=> v124(constB171, 1)))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23943,plain,
% 16.60/11.74 (~((~v121(constB171, 1)) <=> v124(constB171, 1))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23942, 22691])).
% 16.60/11.74 tff(23944,plain,
% 16.60/11.74 ((v124(constB171, 0) | v124(constB171, 1) | (~v124(constB171, 2))) | (~v124(constB171, 1))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23945,plain,
% 16.60/11.74 (~v124(constB171, 1)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23944, 23818])).
% 16.60/11.74 tff(23946,plain,
% 16.60/11.74 (((~v121(constB171, 1)) <=> v124(constB171, 1)) | (~v121(constB171, 1)) | v124(constB171, 1)),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23947,plain,
% 16.60/11.74 (~v121(constB171, 1)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23946, 23945, 23943])).
% 16.60/11.74 tff(23948,plain,
% 16.60/11.74 (((~v123(constB172, 1)) <=> v121(constB171, 1)) | (~v123(constB172, 1)) | v121(constB171, 1)),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23949,plain,
% 16.60/11.74 (~v123(constB172, 1)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23948, 23947, 23941])).
% 16.60/11.74 tff(23950,plain,
% 16.60/11.74 ((((~v84(constB172, 2)) <=> v123(constB172, 2)) | ((~v84(constB172, 1)) <=> v123(constB172, 1)) | ((~v84(constB172, 0)) <=> v123(constB172, 0))) | (~((~v84(constB172, 1)) <=> v123(constB172, 1)))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23951,plain,
% 16.60/11.74 (~((~v84(constB172, 1)) <=> v123(constB172, 1))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23950, 23913])).
% 16.60/11.74 tff(23952,plain,
% 16.60/11.74 (((~v84(constB172, 1)) <=> v123(constB172, 1)) | (~v84(constB172, 1)) | v123(constB172, 1)),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23953,plain,
% 16.60/11.74 (~v84(constB172, 1)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23952, 23951, 23949])).
% 16.60/11.74 tff(23954,plain,
% 16.60/11.74 (((~v84(constB173, 1)) <=> v84(constB172, 1)) | (~v84(constB173, 1)) | v84(constB172, 1)),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23955,plain,
% 16.60/11.74 (~v84(constB173, 1)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23954, 23953, 23939])).
% 16.60/11.74 tff(23956,plain,
% 16.60/11.74 ((~(v84(constB173, 1) | v84(constB173, 0) | (~v84(constB173, 2)))) | v84(constB173, 1) | v84(constB173, 0) | (~v84(constB173, 2))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23957,plain,
% 16.60/11.74 (~(v84(constB173, 1) | v84(constB173, 0) | (~v84(constB173, 2)))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23956, 23955, 23937, 23919])).
% 16.60/11.74 tff(23958,plain,
% 16.60/11.74 ((~(v117(constB173) <=> (~(v84(constB173, 1) | v84(constB173, 0) | (~v84(constB173, 2)))))) | v117(constB173) | (v84(constB173, 1) | v84(constB173, 0) | (~v84(constB173, 2)))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23959,plain,
% 16.60/11.74 (v117(constB173)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23958, 23957, 22634])).
% 16.60/11.74 tff(23960,plain,
% 16.60/11.74 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB173)) | (~(v124(constB173, 0) | (~v124(constB173, 2)) | (~v124(constB173, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB173)) | (~(v124(constB173, 0) | (~v124(constB173, 2)) | (~v124(constB173, 1)))))),
% 16.60/11.74 inference(rewrite,[status(thm)],[])).
% 16.60/11.74 tff(23961,plain,
% 16.60/11.74 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB173)) | (~(v124(constB173, 0) | (~v124(constB173, 2)) | (~v124(constB173, 1)))))),
% 16.60/11.74 inference(quant_inst,[status(thm)],[])).
% 16.60/11.74 tff(23962,plain,
% 16.60/11.74 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB173)) | (~(v124(constB173, 0) | (~v124(constB173, 2)) | (~v124(constB173, 1))))),
% 16.60/11.74 inference(modus_ponens,[status(thm)],[23961, 23960])).
% 16.60/11.74 tff(23963,plain,
% 16.60/11.74 ((~v117(constB173)) | (~(v124(constB173, 0) | (~v124(constB173, 2)) | (~v124(constB173, 1))))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23962, 2584])).
% 16.60/11.74 tff(23964,plain,
% 16.60/11.74 (~(v124(constB173, 0) | (~v124(constB173, 2)) | (~v124(constB173, 1)))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23963, 23959])).
% 16.60/11.74 tff(23965,plain,
% 16.60/11.74 ((v124(constB173, 0) | (~v124(constB173, 2)) | (~v124(constB173, 1))) | (~v124(constB173, 0))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23966,plain,
% 16.60/11.74 (~v124(constB173, 0)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23965, 23964])).
% 16.60/11.74 tff(23967,plain,
% 16.60/11.74 (((~v121(constB173, 0)) <=> v124(constB173, 0)) | (~v121(constB173, 0)) | v124(constB173, 0)),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23968,plain,
% 16.60/11.74 (~v121(constB173, 0)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23967, 23966, 22627])).
% 16.60/11.74 tff(23969,plain,
% 16.60/11.74 (((~v123(constB174, 0)) <=> v121(constB173, 0)) | (~v123(constB174, 0)) | v121(constB173, 0)),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23970,plain,
% 16.60/11.74 (~v123(constB174, 0)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23969, 23968, 22613])).
% 16.60/11.74 tff(23971,plain,
% 16.60/11.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB173, constB174)) | (v94(constB174) <=> (~((~v95(constB174)) | (~v104(constB174))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB173, constB174)) | (v94(constB174) <=> (~((~v95(constB174)) | (~v104(constB174))))))),
% 16.60/11.74 inference(rewrite,[status(thm)],[])).
% 16.60/11.74 tff(23972,plain,
% 16.60/11.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB173, constB174)) | (v94(constB174) <=> (~((~v95(constB174)) | (~v104(constB174))))))),
% 16.60/11.74 inference(quant_inst,[status(thm)],[])).
% 16.60/11.74 tff(23973,plain,
% 16.60/11.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB173, constB174)) | (v94(constB174) <=> (~((~v95(constB174)) | (~v104(constB174)))))),
% 16.60/11.74 inference(modus_ponens,[status(thm)],[23972, 23971])).
% 16.60/11.74 tff(23974,plain,
% 16.60/11.74 (v94(constB174) <=> (~((~v95(constB174)) | (~v104(constB174))))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23973, 22607, 770])).
% 16.60/11.74 tff(23975,plain,
% 16.60/11.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174))))))),
% 16.60/11.74 inference(rewrite,[status(thm)],[])).
% 16.60/11.74 tff(23976,plain,
% 16.60/11.74 (((~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v96(constB174)) | (~v1(constB174)))))) <=> ((~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174))))))),
% 16.60/11.74 inference(rewrite,[status(thm)],[])).
% 16.60/11.74 tff(23977,plain,
% 16.60/11.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v96(constB174)) | (~v1(constB174))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174)))))))),
% 16.60/11.74 inference(monotonicity,[status(thm)],[23976])).
% 16.60/11.74 tff(23978,plain,
% 16.60/11.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v96(constB174)) | (~v1(constB174))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174))))))),
% 16.60/11.74 inference(transitivity,[status(thm)],[23977, 23975])).
% 16.60/11.74 tff(23979,plain,
% 16.60/11.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v96(constB174)) | (~v1(constB174))))))),
% 16.60/11.74 inference(quant_inst,[status(thm)],[])).
% 16.60/11.74 tff(23980,plain,
% 16.60/11.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174)))))),
% 16.60/11.74 inference(modus_ponens,[status(thm)],[23979, 23978])).
% 16.60/11.74 tff(23981,plain,
% 16.60/11.74 (v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174))))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23980, 22607, 790])).
% 16.60/11.74 tff(23982,plain,
% 16.60/11.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB173, constB174)) | ((~v96(constB174)) <=> v98(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB173, constB174)) | ((~v96(constB174)) <=> v98(constB174)))),
% 16.60/11.74 inference(rewrite,[status(thm)],[])).
% 16.60/11.74 tff(23983,plain,
% 16.60/11.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB173, constB174)) | ((~v96(constB174)) <=> v98(constB174)))),
% 16.60/11.74 inference(quant_inst,[status(thm)],[])).
% 16.60/11.74 tff(23984,plain,
% 16.60/11.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB173, constB174)) | ((~v96(constB174)) <=> v98(constB174))),
% 16.60/11.74 inference(modus_ponens,[status(thm)],[23983, 23982])).
% 16.60/11.74 tff(23985,plain,
% 16.60/11.74 ((~v96(constB174)) <=> v98(constB174)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23984, 22607, 2332])).
% 16.60/11.74 tff(23986,plain,
% 16.60/11.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB173, constB174)) | (v98(constB174) <=> v1(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB173, constB174)) | (v98(constB174) <=> v1(constB173)))),
% 16.60/11.74 inference(rewrite,[status(thm)],[])).
% 16.60/11.74 tff(23987,plain,
% 16.60/11.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB173, constB174)) | (v98(constB174) <=> v1(constB173)))),
% 16.60/11.74 inference(quant_inst,[status(thm)],[])).
% 16.60/11.74 tff(23988,plain,
% 16.60/11.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB173, constB174)) | (v98(constB174) <=> v1(constB173))),
% 16.60/11.74 inference(modus_ponens,[status(thm)],[23987, 23986])).
% 16.60/11.74 tff(23989,plain,
% 16.60/11.74 (v98(constB174) <=> v1(constB173)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23988, 22607, 2346])).
% 16.60/11.74 tff(23990,plain,
% 16.60/11.74 ((~(v98(constB174) <=> v1(constB173))) | (~v98(constB174)) | v1(constB173)),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23991,plain,
% 16.60/11.74 ((~(v98(constB174) <=> v1(constB173))) | (~v98(constB174))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23990, 22651])).
% 16.60/11.74 tff(23992,plain,
% 16.60/11.74 (~v98(constB174)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23991, 23989])).
% 16.60/11.74 tff(23993,plain,
% 16.60/11.74 ((~((~v96(constB174)) <=> v98(constB174))) | v96(constB174) | v98(constB174)),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23994,plain,
% 16.60/11.74 (v96(constB174)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23993, 23992, 23985])).
% 16.60/11.74 tff(23995,plain,
% 16.60/11.74 (v1(constB174) <=> v1(constB174)),
% 16.60/11.74 inference(rewrite,[status(thm)],[])).
% 16.60/11.74 tff(23996,axiom,(v1(constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_174')).
% 16.60/11.74 tff(23997,plain,
% 16.60/11.74 (v1(constB174)),
% 16.60/11.74 inference(modus_ponens,[status(thm)],[23996, 23995])).
% 16.60/11.74 tff(23998,plain,
% 16.60/11.74 ((~((~v1(constB174)) | (~v96(constB174)))) | (~v1(constB174)) | (~v96(constB174))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(23999,plain,
% 16.60/11.74 ((~((~v1(constB174)) | (~v96(constB174)))) | (~v96(constB174))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23998, 23997])).
% 16.60/11.74 tff(24000,plain,
% 16.60/11.74 (~((~v1(constB174)) | (~v96(constB174)))),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[23999, 23994])).
% 16.60/11.74 tff(24001,plain,
% 16.60/11.74 ((~(v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174)))))) | v95(constB174) | ((~v1(constB174)) | (~v96(constB174)))),
% 16.60/11.74 inference(tautology,[status(thm)],[])).
% 16.60/11.74 tff(24002,plain,
% 16.60/11.74 (v95(constB174)),
% 16.60/11.74 inference(unit_resolution,[status(thm)],[24001, 24000, 23981])).
% 16.60/11.74 tff(24003,plain,
% 16.60/11.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB173, constB174)) | (v104(constB174) <=> v102(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB173, constB174)) | (v104(constB174) <=> v102(constB173)))),
% 16.60/11.74 inference(rewrite,[status(thm)],[])).
% 16.60/11.74 tff(24004,plain,
% 16.60/11.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB173, constB174)) | (v104(constB174) <=> v102(constB173)))),
% 16.60/11.74 inference(quant_inst,[status(thm)],[])).
% 16.60/11.74 tff(24005,plain,
% 16.60/11.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB173, constB174)) | (v104(constB174) <=> v102(constB173))),
% 16.60/11.75 inference(modus_ponens,[status(thm)],[24004, 24003])).
% 16.60/11.75 tff(24006,plain,
% 16.60/11.75 (v104(constB174) <=> v102(constB173)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24005, 22607, 2373])).
% 16.60/11.75 tff(24007,plain,
% 16.60/11.75 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB173) <=> (v105(constB173) | v106(constB173)))),
% 16.60/11.75 inference(quant_inst,[status(thm)],[])).
% 16.60/11.75 tff(24008,plain,
% 16.60/11.75 (v102(constB173) <=> (v105(constB173) | v106(constB173))),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24007, 2384])).
% 16.60/11.75 tff(24009,plain,
% 16.60/11.75 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB173) <=> (~((~v107(constB173)) | (~v120(constB173)))))),
% 16.60/11.75 inference(quant_inst,[status(thm)],[])).
% 16.60/11.75 tff(24010,plain,
% 16.60/11.75 (v106(constB173) <=> (~((~v107(constB173)) | (~v120(constB173))))),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24009, 2396])).
% 16.60/11.75 tff(24011,plain,
% 16.60/11.75 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB173) <=> (v108(constB173) | v119(constB173)))),
% 16.60/11.75 inference(quant_inst,[status(thm)],[])).
% 16.60/11.75 tff(24012,plain,
% 16.60/11.75 (v107(constB173) <=> (v108(constB173) | v119(constB173))),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24011, 2405])).
% 16.60/11.75 tff(24013,plain,
% 16.60/11.75 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB173) <=> (v109(constB173) | v118(constB173)))),
% 16.60/11.75 inference(quant_inst,[status(thm)],[])).
% 16.60/11.75 tff(24014,plain,
% 16.60/11.75 (v108(constB173) <=> (v109(constB173) | v118(constB173))),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24013, 2414])).
% 16.60/11.75 tff(24015,plain,
% 16.60/11.75 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB173) <=> (v110(constB173) | v117(constB173)))),
% 16.60/11.75 inference(quant_inst,[status(thm)],[])).
% 16.60/11.75 tff(24016,plain,
% 16.60/11.75 (v109(constB173) <=> (v110(constB173) | v117(constB173))),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24015, 2423])).
% 16.60/11.75 tff(24017,plain,
% 16.60/11.75 ((v110(constB173) | v117(constB173)) | (~v117(constB173))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24018,plain,
% 16.60/11.75 (v110(constB173) | v117(constB173)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24017, 23959])).
% 16.60/11.75 tff(24019,plain,
% 16.60/11.75 ((~(v109(constB173) <=> (v110(constB173) | v117(constB173)))) | v109(constB173) | (~(v110(constB173) | v117(constB173)))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24020,plain,
% 16.60/11.75 (v109(constB173)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24019, 24018, 24016])).
% 16.60/11.75 tff(24021,plain,
% 16.60/11.75 ((v109(constB173) | v118(constB173)) | (~v109(constB173))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24022,plain,
% 16.60/11.75 (v109(constB173) | v118(constB173)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24021, 24020])).
% 16.60/11.75 tff(24023,plain,
% 16.60/11.75 ((~(v108(constB173) <=> (v109(constB173) | v118(constB173)))) | v108(constB173) | (~(v109(constB173) | v118(constB173)))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24024,plain,
% 16.60/11.75 (v108(constB173)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24023, 24022, 24014])).
% 16.60/11.75 tff(24025,plain,
% 16.60/11.75 ((v108(constB173) | v119(constB173)) | (~v108(constB173))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24026,plain,
% 16.60/11.75 (v108(constB173) | v119(constB173)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24025, 24024])).
% 16.60/11.75 tff(24027,plain,
% 16.60/11.75 ((~(v107(constB173) <=> (v108(constB173) | v119(constB173)))) | v107(constB173) | (~(v108(constB173) | v119(constB173)))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24028,plain,
% 16.60/11.75 (v107(constB173)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24027, 24026, 24012])).
% 16.60/11.75 tff(24029,plain,
% 16.60/11.75 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB173)) <=> v105(constB173))),
% 16.60/11.75 inference(quant_inst,[status(thm)],[])).
% 16.60/11.75 tff(24030,plain,
% 16.60/11.75 ((~v120(constB173)) <=> v105(constB173)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24029, 2484])).
% 16.60/11.75 tff(24031,plain,
% 16.60/11.75 ((~((~v120(constB173)) <=> v105(constB173))) | v120(constB173) | v105(constB173)),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24032,plain,
% 16.60/11.75 ((~((~v120(constB173)) <=> v105(constB173))) | v120(constB173)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24031, 22620])).
% 16.60/11.75 tff(24033,plain,
% 16.60/11.75 (v120(constB173)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24032, 24030])).
% 16.60/11.75 tff(24034,plain,
% 16.60/11.75 ((~((~v107(constB173)) | (~v120(constB173)))) | (~v107(constB173)) | (~v120(constB173))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24035,plain,
% 16.60/11.75 ((~((~v107(constB173)) | (~v120(constB173)))) | (~v107(constB173))),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24034, 24033])).
% 16.60/11.75 tff(24036,plain,
% 16.60/11.75 (~((~v107(constB173)) | (~v120(constB173)))),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24035, 24028])).
% 16.60/11.75 tff(24037,plain,
% 16.60/11.75 ((~(v106(constB173) <=> (~((~v107(constB173)) | (~v120(constB173)))))) | v106(constB173) | ((~v107(constB173)) | (~v120(constB173)))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24038,plain,
% 16.60/11.75 (v106(constB173)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24037, 24036, 24010])).
% 16.60/11.75 tff(24039,plain,
% 16.60/11.75 ((v105(constB173) | v106(constB173)) | (~v106(constB173))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24040,plain,
% 16.60/11.75 (v105(constB173) | v106(constB173)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24039, 24038])).
% 16.60/11.75 tff(24041,plain,
% 16.60/11.75 ((~(v102(constB173) <=> (v105(constB173) | v106(constB173)))) | v102(constB173) | (~(v105(constB173) | v106(constB173)))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24042,plain,
% 16.60/11.75 (v102(constB173)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24041, 24040, 24008])).
% 16.60/11.75 tff(24043,plain,
% 16.60/11.75 ((~(v104(constB174) <=> v102(constB173))) | v104(constB174) | (~v102(constB173))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24044,plain,
% 16.60/11.75 (v104(constB174)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24043, 24042, 24006])).
% 16.60/11.75 tff(24045,plain,
% 16.60/11.75 ((~((~v95(constB174)) | (~v104(constB174)))) | (~v95(constB174)) | (~v104(constB174))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24046,plain,
% 16.60/11.75 (~((~v95(constB174)) | (~v104(constB174)))),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24045, 24044, 24002])).
% 16.60/11.75 tff(24047,plain,
% 16.60/11.75 ((~(v94(constB174) <=> (~((~v95(constB174)) | (~v104(constB174)))))) | v94(constB174) | ((~v95(constB174)) | (~v104(constB174)))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24048,plain,
% 16.60/11.75 (v94(constB174)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24047, 24046, 23974])).
% 16.60/11.75 tff(24049,plain,
% 16.60/11.75 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB174)) | (~(((~v84(constB174, 0)) <=> v123(constB174, 0)) | ((~v84(constB174, 2)) <=> v123(constB174, 2)) | ((~v84(constB174, 1)) <=> v123(constB174, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB174)) | (~(((~v84(constB174, 0)) <=> v123(constB174, 0)) | ((~v84(constB174, 2)) <=> v123(constB174, 2)) | ((~v84(constB174, 1)) <=> v123(constB174, 1)))))),
% 16.60/11.75 inference(rewrite,[status(thm)],[])).
% 16.60/11.75 tff(24050,plain,
% 16.60/11.75 (((~v94(constB174)) | (~(((~v84(constB174, 2)) <=> v123(constB174, 2)) | ((~v84(constB174, 1)) <=> v123(constB174, 1)) | ((~v84(constB174, 0)) <=> v123(constB174, 0))))) <=> ((~v94(constB174)) | (~(((~v84(constB174, 0)) <=> v123(constB174, 0)) | ((~v84(constB174, 2)) <=> v123(constB174, 2)) | ((~v84(constB174, 1)) <=> v123(constB174, 1)))))),
% 16.60/11.75 inference(rewrite,[status(thm)],[])).
% 16.60/11.75 tff(24051,plain,
% 16.60/11.75 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB174)) | (~(((~v84(constB174, 2)) <=> v123(constB174, 2)) | ((~v84(constB174, 1)) <=> v123(constB174, 1)) | ((~v84(constB174, 0)) <=> v123(constB174, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB174)) | (~(((~v84(constB174, 0)) <=> v123(constB174, 0)) | ((~v84(constB174, 2)) <=> v123(constB174, 2)) | ((~v84(constB174, 1)) <=> v123(constB174, 1))))))),
% 16.60/11.75 inference(monotonicity,[status(thm)],[24050])).
% 16.60/11.75 tff(24052,plain,
% 16.60/11.75 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB174)) | (~(((~v84(constB174, 2)) <=> v123(constB174, 2)) | ((~v84(constB174, 1)) <=> v123(constB174, 1)) | ((~v84(constB174, 0)) <=> v123(constB174, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB174)) | (~(((~v84(constB174, 0)) <=> v123(constB174, 0)) | ((~v84(constB174, 2)) <=> v123(constB174, 2)) | ((~v84(constB174, 1)) <=> v123(constB174, 1)))))),
% 16.60/11.75 inference(transitivity,[status(thm)],[24051, 24049])).
% 16.60/11.75 tff(24053,plain,
% 16.60/11.75 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB174)) | (~(((~v84(constB174, 2)) <=> v123(constB174, 2)) | ((~v84(constB174, 1)) <=> v123(constB174, 1)) | ((~v84(constB174, 0)) <=> v123(constB174, 0)))))),
% 16.60/11.75 inference(quant_inst,[status(thm)],[])).
% 16.60/11.75 tff(24054,plain,
% 16.60/11.75 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB174)) | (~(((~v84(constB174, 0)) <=> v123(constB174, 0)) | ((~v84(constB174, 2)) <=> v123(constB174, 2)) | ((~v84(constB174, 1)) <=> v123(constB174, 1))))),
% 16.60/11.75 inference(modus_ponens,[status(thm)],[24053, 24052])).
% 16.60/11.75 tff(24055,plain,
% 16.60/11.75 ((~v94(constB174)) | (~(((~v84(constB174, 0)) <=> v123(constB174, 0)) | ((~v84(constB174, 2)) <=> v123(constB174, 2)) | ((~v84(constB174, 1)) <=> v123(constB174, 1))))),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24054, 2517])).
% 16.60/11.75 tff(24056,plain,
% 16.60/11.75 (~(((~v84(constB174, 0)) <=> v123(constB174, 0)) | ((~v84(constB174, 2)) <=> v123(constB174, 2)) | ((~v84(constB174, 1)) <=> v123(constB174, 1)))),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24055, 24048])).
% 16.60/11.75 tff(24057,plain,
% 16.60/11.75 ((((~v84(constB174, 0)) <=> v123(constB174, 0)) | ((~v84(constB174, 2)) <=> v123(constB174, 2)) | ((~v84(constB174, 1)) <=> v123(constB174, 1))) | (~((~v84(constB174, 0)) <=> v123(constB174, 0)))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24058,plain,
% 16.60/11.75 (~((~v84(constB174, 0)) <=> v123(constB174, 0))),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24057, 24056])).
% 16.60/11.75 tff(24059,plain,
% 16.60/11.75 (((~v84(constB174, 0)) <=> v123(constB174, 0)) | (~v84(constB174, 0)) | v123(constB174, 0)),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24060,plain,
% 16.60/11.75 (~v84(constB174, 0)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24059, 24058, 23970])).
% 16.60/11.75 tff(24061,plain,
% 16.60/11.75 (((~v84(constB175, 0)) <=> v84(constB174, 0)) | (~v84(constB175, 0)) | v84(constB174, 0)),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24062,plain,
% 16.60/11.75 (~v84(constB175, 0)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24061, 24060, 22604])).
% 16.60/11.75 tff(24063,plain,
% 16.60/11.75 ((v84(constB175, 1) | v84(constB175, 2) | (~v84(constB175, 0))) | v84(constB175, 0)),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24064,plain,
% 16.60/11.75 (v84(constB175, 1) | v84(constB175, 2) | (~v84(constB175, 0))),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24063, 24062])).
% 16.60/11.75 tff(24065,plain,
% 16.60/11.75 ((~(v114(constB175) <=> (~(v84(constB175, 1) | v84(constB175, 2) | (~v84(constB175, 0)))))) | (~v114(constB175)) | (~(v84(constB175, 1) | v84(constB175, 2) | (~v84(constB175, 0))))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24066,plain,
% 16.60/11.75 (~v114(constB175)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24065, 24064, 22568])).
% 16.60/11.75 tff(24067,plain,
% 16.60/11.75 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB175) <=> (~(v84(constB175, 1) | (~v84(constB175, 2)) | (~v84(constB175, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB175) <=> (~(v84(constB175, 1) | (~v84(constB175, 2)) | (~v84(constB175, 0))))))),
% 16.60/11.75 inference(rewrite,[status(thm)],[])).
% 16.60/11.75 tff(24068,plain,
% 16.60/11.75 ((v118(constB175) <=> (~(v84(constB175, 1) | (~v84(constB175, 0)) | (~v84(constB175, 2))))) <=> (v118(constB175) <=> (~(v84(constB175, 1) | (~v84(constB175, 2)) | (~v84(constB175, 0)))))),
% 16.60/11.75 inference(rewrite,[status(thm)],[])).
% 16.60/11.75 tff(24069,plain,
% 16.60/11.75 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB175) <=> (~(v84(constB175, 1) | (~v84(constB175, 0)) | (~v84(constB175, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB175) <=> (~(v84(constB175, 1) | (~v84(constB175, 2)) | (~v84(constB175, 0))))))),
% 16.60/11.75 inference(monotonicity,[status(thm)],[24068])).
% 16.60/11.75 tff(24070,plain,
% 16.60/11.75 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB175) <=> (~(v84(constB175, 1) | (~v84(constB175, 0)) | (~v84(constB175, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB175) <=> (~(v84(constB175, 1) | (~v84(constB175, 2)) | (~v84(constB175, 0))))))),
% 16.60/11.75 inference(transitivity,[status(thm)],[24069, 24067])).
% 16.60/11.75 tff(24071,plain,
% 16.60/11.75 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB175) <=> (~(v84(constB175, 1) | (~v84(constB175, 0)) | (~v84(constB175, 2)))))),
% 16.60/11.75 inference(quant_inst,[status(thm)],[])).
% 16.60/11.75 tff(24072,plain,
% 16.60/11.75 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB175) <=> (~(v84(constB175, 1) | (~v84(constB175, 2)) | (~v84(constB175, 0)))))),
% 16.60/11.75 inference(modus_ponens,[status(thm)],[24071, 24070])).
% 16.60/11.75 tff(24073,plain,
% 16.60/11.75 (v118(constB175) <=> (~(v84(constB175, 1) | (~v84(constB175, 2)) | (~v84(constB175, 0))))),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24072, 2701])).
% 16.60/11.75 tff(24074,plain,
% 16.60/11.75 ((v84(constB175, 1) | (~v84(constB175, 2)) | (~v84(constB175, 0))) | v84(constB175, 0)),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24075,plain,
% 16.60/11.75 (v84(constB175, 1) | (~v84(constB175, 2)) | (~v84(constB175, 0))),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24074, 24062])).
% 16.60/11.75 tff(24076,plain,
% 16.60/11.75 ((~(v118(constB175) <=> (~(v84(constB175, 1) | (~v84(constB175, 2)) | (~v84(constB175, 0)))))) | (~v118(constB175)) | (~(v84(constB175, 1) | (~v84(constB175, 2)) | (~v84(constB175, 0))))),
% 16.60/11.75 inference(tautology,[status(thm)],[])).
% 16.60/11.75 tff(24077,plain,
% 16.60/11.75 (~v118(constB175)),
% 16.60/11.75 inference(unit_resolution,[status(thm)],[24076, 24075, 24073])).
% 16.60/11.75 tff(24078,plain,
% 16.60/11.75 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB175) <=> (~(v84(constB175, 1) | v84(constB175, 0) | (~v84(constB175, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB175) <=> (~(v84(constB175, 1) | v84(constB175, 0) | (~v84(constB175, 2))))))),
% 16.60/11.75 inference(rewrite,[status(thm)],[])).
% 16.60/11.75 tff(24079,plain,
% 16.60/11.75 ((v117(constB175) <=> (~(v84(constB175, 0) | v84(constB175, 1) | (~v84(constB175, 2))))) <=> (v117(constB175) <=> (~(v84(constB175, 1) | v84(constB175, 0) | (~v84(constB175, 2)))))),
% 16.60/11.75 inference(rewrite,[status(thm)],[])).
% 16.60/11.75 tff(24080,plain,
% 16.60/11.75 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB175) <=> (~(v84(constB175, 0) | v84(constB175, 1) | (~v84(constB175, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB175) <=> (~(v84(constB175, 1) | v84(constB175, 0) | (~v84(constB175, 2))))))),
% 16.60/11.76 inference(monotonicity,[status(thm)],[24079])).
% 16.60/11.76 tff(24081,plain,
% 16.60/11.76 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB175) <=> (~(v84(constB175, 0) | v84(constB175, 1) | (~v84(constB175, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB175) <=> (~(v84(constB175, 1) | v84(constB175, 0) | (~v84(constB175, 2))))))),
% 16.60/11.76 inference(transitivity,[status(thm)],[24080, 24078])).
% 16.60/11.76 tff(24082,plain,
% 16.60/11.76 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB175) <=> (~(v84(constB175, 0) | v84(constB175, 1) | (~v84(constB175, 2)))))),
% 16.60/11.76 inference(quant_inst,[status(thm)],[])).
% 16.60/11.76 tff(24083,plain,
% 16.60/11.76 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB175) <=> (~(v84(constB175, 1) | v84(constB175, 0) | (~v84(constB175, 2)))))),
% 16.60/11.76 inference(modus_ponens,[status(thm)],[24082, 24081])).
% 16.60/11.76 tff(24084,plain,
% 16.60/11.76 (v117(constB175) <=> (~(v84(constB175, 1) | v84(constB175, 0) | (~v84(constB175, 2))))),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24083, 1199])).
% 16.60/11.76 tff(24085,plain,
% 16.60/11.76 ((((~v84(constB175, 1)) <=> v84(constB174, 1)) | ((~v84(constB175, 2)) <=> v84(constB174, 2)) | ((~v84(constB175, 0)) <=> v84(constB174, 0))) | (~((~v84(constB175, 1)) <=> v84(constB174, 1)))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24086,plain,
% 16.60/11.76 (~((~v84(constB175, 1)) <=> v84(constB174, 1))),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24085, 22602])).
% 16.60/11.76 tff(24087,plain,
% 16.60/11.76 ((((~v123(constB174, 2)) <=> v121(constB173, 2)) | ((~v123(constB174, 1)) <=> v121(constB173, 1)) | ((~v123(constB174, 0)) <=> v121(constB173, 0))) | (~((~v123(constB174, 1)) <=> v121(constB173, 1)))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24088,plain,
% 16.60/11.76 (~((~v123(constB174, 1)) <=> v121(constB173, 1))),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24087, 22611])).
% 16.60/11.76 tff(24089,plain,
% 16.60/11.76 ((((~v121(constB173, 2)) <=> v124(constB173, 2)) | ((~v121(constB173, 0)) <=> v124(constB173, 0)) | ((~v121(constB173, 1)) <=> v124(constB173, 1))) | (~((~v121(constB173, 1)) <=> v124(constB173, 1)))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24090,plain,
% 16.60/11.76 (~((~v121(constB173, 1)) <=> v124(constB173, 1))),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24089, 22625])).
% 16.60/11.76 tff(24091,plain,
% 16.60/11.76 ((v124(constB173, 0) | (~v124(constB173, 2)) | (~v124(constB173, 1))) | v124(constB173, 1)),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24092,plain,
% 16.60/11.76 (v124(constB173, 1)),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24091, 23964])).
% 16.60/11.76 tff(24093,plain,
% 16.60/11.76 (((~v121(constB173, 1)) <=> v124(constB173, 1)) | v121(constB173, 1) | (~v124(constB173, 1))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24094,plain,
% 16.60/11.76 (v121(constB173, 1)),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24093, 24092, 24090])).
% 16.60/11.76 tff(24095,plain,
% 16.60/11.76 (((~v123(constB174, 1)) <=> v121(constB173, 1)) | v123(constB174, 1) | (~v121(constB173, 1))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24096,plain,
% 16.60/11.76 (v123(constB174, 1)),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24095, 24094, 24088])).
% 16.60/11.76 tff(24097,plain,
% 16.60/11.76 ((((~v84(constB174, 0)) <=> v123(constB174, 0)) | ((~v84(constB174, 2)) <=> v123(constB174, 2)) | ((~v84(constB174, 1)) <=> v123(constB174, 1))) | (~((~v84(constB174, 1)) <=> v123(constB174, 1)))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24098,plain,
% 16.60/11.76 (~((~v84(constB174, 1)) <=> v123(constB174, 1))),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24097, 24056])).
% 16.60/11.76 tff(24099,plain,
% 16.60/11.76 (((~v84(constB174, 1)) <=> v123(constB174, 1)) | v84(constB174, 1) | (~v123(constB174, 1))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24100,plain,
% 16.60/11.76 (v84(constB174, 1)),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24099, 24098, 24096])).
% 16.60/11.76 tff(24101,plain,
% 16.60/11.76 (((~v84(constB175, 1)) <=> v84(constB174, 1)) | v84(constB175, 1) | (~v84(constB174, 1))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24102,plain,
% 16.60/11.76 (v84(constB175, 1)),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24101, 24100, 24086])).
% 16.60/11.76 tff(24103,plain,
% 16.60/11.76 ((v84(constB175, 1) | v84(constB175, 0) | (~v84(constB175, 2))) | (~v84(constB175, 1))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24104,plain,
% 16.60/11.76 (v84(constB175, 1) | v84(constB175, 0) | (~v84(constB175, 2))),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24103, 24102])).
% 16.60/11.76 tff(24105,plain,
% 16.60/11.76 ((~(v117(constB175) <=> (~(v84(constB175, 1) | v84(constB175, 0) | (~v84(constB175, 2)))))) | (~v117(constB175)) | (~(v84(constB175, 1) | v84(constB175, 0) | (~v84(constB175, 2))))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24106,plain,
% 16.60/11.76 (~v117(constB175)),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24105, 24104, 24084])).
% 16.60/11.76 tff(24107,plain,
% 16.60/11.76 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB175) <=> (~(v84(constB175, 2) | (~v84(constB175, 1)) | (~v84(constB175, 0)))))),
% 16.60/11.76 inference(quant_inst,[status(thm)],[])).
% 16.60/11.76 tff(24108,plain,
% 16.60/11.76 (v116(constB175) <=> (~(v84(constB175, 2) | (~v84(constB175, 1)) | (~v84(constB175, 0))))),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24107, 911])).
% 16.60/11.76 tff(24109,plain,
% 16.60/11.76 ((v84(constB175, 2) | (~v84(constB175, 1)) | (~v84(constB175, 0))) | v84(constB175, 0)),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24110,plain,
% 16.60/11.76 (v84(constB175, 2) | (~v84(constB175, 1)) | (~v84(constB175, 0))),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24109, 24062])).
% 16.60/11.76 tff(24111,plain,
% 16.60/11.76 ((~(v116(constB175) <=> (~(v84(constB175, 2) | (~v84(constB175, 1)) | (~v84(constB175, 0)))))) | (~v116(constB175)) | (~(v84(constB175, 2) | (~v84(constB175, 1)) | (~v84(constB175, 0))))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24112,plain,
% 16.60/11.76 (~v116(constB175)),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24111, 24110, 24108])).
% 16.60/11.76 tff(24113,plain,
% 16.60/11.76 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB175) <=> (~(v84(constB175, 2) | v84(constB175, 0) | (~v84(constB175, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB175) <=> (~(v84(constB175, 2) | v84(constB175, 0) | (~v84(constB175, 1))))))),
% 16.60/11.76 inference(rewrite,[status(thm)],[])).
% 16.60/11.76 tff(24114,plain,
% 16.60/11.76 ((v115(constB175) <=> (~(v84(constB175, 0) | v84(constB175, 2) | (~v84(constB175, 1))))) <=> (v115(constB175) <=> (~(v84(constB175, 2) | v84(constB175, 0) | (~v84(constB175, 1)))))),
% 16.60/11.76 inference(rewrite,[status(thm)],[])).
% 16.60/11.76 tff(24115,plain,
% 16.60/11.76 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB175) <=> (~(v84(constB175, 0) | v84(constB175, 2) | (~v84(constB175, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB175) <=> (~(v84(constB175, 2) | v84(constB175, 0) | (~v84(constB175, 1))))))),
% 16.60/11.76 inference(monotonicity,[status(thm)],[24114])).
% 16.60/11.76 tff(24116,plain,
% 16.60/11.76 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB175) <=> (~(v84(constB175, 0) | v84(constB175, 2) | (~v84(constB175, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB175) <=> (~(v84(constB175, 2) | v84(constB175, 0) | (~v84(constB175, 1))))))),
% 16.60/11.76 inference(transitivity,[status(thm)],[24115, 24113])).
% 16.60/11.76 tff(24117,plain,
% 16.60/11.76 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB175) <=> (~(v84(constB175, 0) | v84(constB175, 2) | (~v84(constB175, 1)))))),
% 16.60/11.76 inference(quant_inst,[status(thm)],[])).
% 16.60/11.76 tff(24118,plain,
% 16.60/11.76 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB175) <=> (~(v84(constB175, 2) | v84(constB175, 0) | (~v84(constB175, 1)))))),
% 16.60/11.76 inference(modus_ponens,[status(thm)],[24117, 24116])).
% 16.60/11.76 tff(24119,plain,
% 16.60/11.76 (v115(constB175) <=> (~(v84(constB175, 2) | v84(constB175, 0) | (~v84(constB175, 1))))),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24118, 985])).
% 16.60/11.76 tff(24120,plain,
% 16.60/11.76 ((((~v84(constB175, 1)) <=> v84(constB174, 1)) | ((~v84(constB175, 2)) <=> v84(constB174, 2)) | ((~v84(constB175, 0)) <=> v84(constB174, 0))) | (~((~v84(constB175, 2)) <=> v84(constB174, 2)))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24121,plain,
% 16.60/11.76 (~((~v84(constB175, 2)) <=> v84(constB174, 2))),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24120, 22602])).
% 16.60/11.76 tff(24122,plain,
% 16.60/11.76 ((((~v123(constB174, 2)) <=> v121(constB173, 2)) | ((~v123(constB174, 1)) <=> v121(constB173, 1)) | ((~v123(constB174, 0)) <=> v121(constB173, 0))) | (~((~v123(constB174, 2)) <=> v121(constB173, 2)))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24123,plain,
% 16.60/11.76 (~((~v123(constB174, 2)) <=> v121(constB173, 2))),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24122, 22611])).
% 16.60/11.76 tff(24124,plain,
% 16.60/11.76 ((((~v121(constB173, 2)) <=> v124(constB173, 2)) | ((~v121(constB173, 0)) <=> v124(constB173, 0)) | ((~v121(constB173, 1)) <=> v124(constB173, 1))) | (~((~v121(constB173, 2)) <=> v124(constB173, 2)))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24125,plain,
% 16.60/11.76 (~((~v121(constB173, 2)) <=> v124(constB173, 2))),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24124, 22625])).
% 16.60/11.76 tff(24126,plain,
% 16.60/11.76 ((v124(constB173, 0) | (~v124(constB173, 2)) | (~v124(constB173, 1))) | v124(constB173, 2)),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24127,plain,
% 16.60/11.76 (v124(constB173, 2)),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24126, 23964])).
% 16.60/11.76 tff(24128,plain,
% 16.60/11.76 (((~v121(constB173, 2)) <=> v124(constB173, 2)) | v121(constB173, 2) | (~v124(constB173, 2))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24129,plain,
% 16.60/11.76 (v121(constB173, 2)),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24128, 24127, 24125])).
% 16.60/11.76 tff(24130,plain,
% 16.60/11.76 (((~v123(constB174, 2)) <=> v121(constB173, 2)) | v123(constB174, 2) | (~v121(constB173, 2))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24131,plain,
% 16.60/11.76 (v123(constB174, 2)),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24130, 24129, 24123])).
% 16.60/11.76 tff(24132,plain,
% 16.60/11.76 ((((~v84(constB174, 0)) <=> v123(constB174, 0)) | ((~v84(constB174, 2)) <=> v123(constB174, 2)) | ((~v84(constB174, 1)) <=> v123(constB174, 1))) | (~((~v84(constB174, 2)) <=> v123(constB174, 2)))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24133,plain,
% 16.60/11.76 (~((~v84(constB174, 2)) <=> v123(constB174, 2))),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24132, 24056])).
% 16.60/11.76 tff(24134,plain,
% 16.60/11.76 (((~v84(constB174, 2)) <=> v123(constB174, 2)) | v84(constB174, 2) | (~v123(constB174, 2))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24135,plain,
% 16.60/11.76 (v84(constB174, 2)),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24134, 24133, 24131])).
% 16.60/11.76 tff(24136,plain,
% 16.60/11.76 (((~v84(constB175, 2)) <=> v84(constB174, 2)) | v84(constB175, 2) | (~v84(constB174, 2))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24137,plain,
% 16.60/11.76 (v84(constB175, 2)),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24136, 24135, 24121])).
% 16.60/11.76 tff(24138,plain,
% 16.60/11.76 ((v84(constB175, 2) | v84(constB175, 0) | (~v84(constB175, 1))) | (~v84(constB175, 2))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24139,plain,
% 16.60/11.76 (v84(constB175, 2) | v84(constB175, 0) | (~v84(constB175, 1))),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24138, 24137])).
% 16.60/11.76 tff(24140,plain,
% 16.60/11.76 ((~(v115(constB175) <=> (~(v84(constB175, 2) | v84(constB175, 0) | (~v84(constB175, 1)))))) | (~v115(constB175)) | (~(v84(constB175, 2) | v84(constB175, 0) | (~v84(constB175, 1))))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24141,plain,
% 16.60/11.76 (~v115(constB175)),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24140, 24139, 24119])).
% 16.60/11.76 tff(24142,plain,
% 16.60/11.76 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB175) <=> (~(v84(constB175, 0) | v84(constB175, 1) | v84(constB175, 2))))),
% 16.60/11.76 inference(quant_inst,[status(thm)],[])).
% 16.60/11.76 tff(24143,plain,
% 16.60/11.76 (v113(constB175) <=> (~(v84(constB175, 0) | v84(constB175, 1) | v84(constB175, 2)))),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24142, 1466])).
% 16.60/11.76 tff(24144,plain,
% 16.60/11.76 ((v84(constB175, 0) | v84(constB175, 1) | v84(constB175, 2)) | (~v84(constB175, 2))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24145,plain,
% 16.60/11.76 (v84(constB175, 0) | v84(constB175, 1) | v84(constB175, 2)),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24144, 24137])).
% 16.60/11.76 tff(24146,plain,
% 16.60/11.76 ((~(v113(constB175) <=> (~(v84(constB175, 0) | v84(constB175, 1) | v84(constB175, 2))))) | (~v113(constB175)) | (~(v84(constB175, 0) | v84(constB175, 1) | v84(constB175, 2)))),
% 16.60/11.76 inference(tautology,[status(thm)],[])).
% 16.60/11.76 tff(24147,plain,
% 16.60/11.76 (~v113(constB175)),
% 16.60/11.76 inference(unit_resolution,[status(thm)],[24146, 24145, 24143])).
% 16.60/11.76 tff(24148,plain,
% 16.60/11.76 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB175) | v114(constB175) | v115(constB175) | v116(constB175) | v117(constB175) | v118(constB175) | (~(v124(constB175, 2) | v124(constB175, 1) | (~v124(constB175, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB175) | v114(constB175) | v115(constB175) | v116(constB175) | v117(constB175) | v118(constB175) | (~(v124(constB175, 2) | v124(constB175, 1) | (~v124(constB175, 0)))))),
% 16.60/11.76 inference(rewrite,[status(thm)],[])).
% 16.60/11.76 tff(24149,plain,
% 16.60/11.76 ((v118(constB175) | v117(constB175) | v116(constB175) | v115(constB175) | v114(constB175) | v113(constB175) | (~(v124(constB175, 2) | v124(constB175, 1) | (~v124(constB175, 0))))) <=> (v113(constB175) | v114(constB175) | v115(constB175) | v116(constB175) | v117(constB175) | v118(constB175) | (~(v124(constB175, 2) | v124(constB175, 1) | (~v124(constB175, 0)))))),
% 16.60/11.76 inference(rewrite,[status(thm)],[])).
% 16.60/11.76 tff(24150,plain,
% 16.60/11.76 ((~(v124(constB175, 1) | v124(constB175, 2) | (~v124(constB175, 0)))) <=> (~(v124(constB175, 2) | v124(constB175, 1) | (~v124(constB175, 0))))),
% 16.60/11.76 inference(rewrite,[status(thm)],[])).
% 16.60/11.76 tff(24151,plain,
% 16.60/11.76 ((v118(constB175) | v117(constB175) | v116(constB175) | v115(constB175) | v114(constB175) | v113(constB175) | (~(v124(constB175, 1) | v124(constB175, 2) | (~v124(constB175, 0))))) <=> (v118(constB175) | v117(constB175) | v116(constB175) | v115(constB175) | v114(constB175) | v113(constB175) | (~(v124(constB175, 2) | v124(constB175, 1) | (~v124(constB175, 0)))))),
% 16.60/11.76 inference(monotonicity,[status(thm)],[24150])).
% 16.60/11.76 tff(24152,plain,
% 16.60/11.76 ((v118(constB175) | v117(constB175) | v116(constB175) | v115(constB175) | v114(constB175) | v113(constB175) | (~(v124(constB175, 1) | v124(constB175, 2) | (~v124(constB175, 0))))) <=> (v113(constB175) | v114(constB175) | v115(constB175) | v116(constB175) | v117(constB175) | v118(constB175) | (~(v124(constB175, 2) | v124(constB175, 1) | (~v124(constB175, 0)))))),
% 16.60/11.76 inference(transitivity,[status(thm)],[24151, 24149])).
% 16.60/11.76 tff(24153,plain,
% 16.60/11.76 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB175) | v117(constB175) | v116(constB175) | v115(constB175) | v114(constB175) | v113(constB175) | (~(v124(constB175, 1) | v124(constB175, 2) | (~v124(constB175, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB175) | v114(constB175) | v115(constB175) | v116(constB175) | v117(constB175) | v118(constB175) | (~(v124(constB175, 2) | v124(constB175, 1) | (~v124(constB175, 0))))))),
% 16.60/11.76 inference(monotonicity,[status(thm)],[24152])).
% 16.60/11.76 tff(24154,plain,
% 16.60/11.76 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB175) | v117(constB175) | v116(constB175) | v115(constB175) | v114(constB175) | v113(constB175) | (~(v124(constB175, 1) | v124(constB175, 2) | (~v124(constB175, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB175) | v114(constB175) | v115(constB175) | v116(constB175) | v117(constB175) | v118(constB175) | (~(v124(constB175, 2) | v124(constB175, 1) | (~v124(constB175, 0)))))),
% 16.60/11.77 inference(transitivity,[status(thm)],[24153, 24148])).
% 16.60/11.77 tff(24155,plain,
% 16.60/11.77 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB175) | v117(constB175) | v116(constB175) | v115(constB175) | v114(constB175) | v113(constB175) | (~(v124(constB175, 1) | v124(constB175, 2) | (~v124(constB175, 0)))))),
% 16.60/11.77 inference(quant_inst,[status(thm)],[])).
% 16.60/11.77 tff(24156,plain,
% 16.60/11.77 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB175) | v114(constB175) | v115(constB175) | v116(constB175) | v117(constB175) | v118(constB175) | (~(v124(constB175, 2) | v124(constB175, 1) | (~v124(constB175, 0))))),
% 16.60/11.77 inference(modus_ponens,[status(thm)],[24155, 24154])).
% 16.60/11.77 tff(24157,plain,
% 16.60/11.77 (v113(constB175) | v114(constB175) | v115(constB175) | v116(constB175) | v117(constB175) | v118(constB175) | (~(v124(constB175, 2) | v124(constB175, 1) | (~v124(constB175, 0))))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24156, 2777])).
% 16.60/11.77 tff(24158,plain,
% 16.60/11.77 (~(v124(constB175, 2) | v124(constB175, 1) | (~v124(constB175, 0)))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24157, 24147, 24141, 24112, 24106, 24077, 24066])).
% 16.60/11.77 tff(24159,plain,
% 16.60/11.77 ((v124(constB175, 2) | v124(constB175, 1) | (~v124(constB175, 0))) | (~v124(constB175, 2))),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24160,plain,
% 16.60/11.77 (~v124(constB175, 2)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24159, 24158])).
% 16.60/11.77 tff(24161,plain,
% 16.60/11.77 (((~v121(constB175, 2)) <=> v124(constB175, 2)) | (~v121(constB175, 2)) | v124(constB175, 2)),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24162,plain,
% 16.60/11.77 (~v121(constB175, 2)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24161, 24160, 22566])).
% 16.60/11.77 tff(24163,plain,
% 16.60/11.77 (((~v123(constB176, 2)) <=> v121(constB175, 2)) | (~v123(constB176, 2)) | v121(constB175, 2)),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24164,plain,
% 16.60/11.77 (~v123(constB176, 2)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24163, 24162, 22552])).
% 16.60/11.77 tff(24165,plain,
% 16.60/11.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB175, constB176)) | (v94(constB176) <=> (~((~v95(constB176)) | (~v104(constB176))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB175, constB176)) | (v94(constB176) <=> (~((~v95(constB176)) | (~v104(constB176))))))),
% 16.60/11.77 inference(rewrite,[status(thm)],[])).
% 16.60/11.77 tff(24166,plain,
% 16.60/11.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB175, constB176)) | (v94(constB176) <=> (~((~v95(constB176)) | (~v104(constB176))))))),
% 16.60/11.77 inference(quant_inst,[status(thm)],[])).
% 16.60/11.77 tff(24167,plain,
% 16.60/11.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB175, constB176)) | (v94(constB176) <=> (~((~v95(constB176)) | (~v104(constB176)))))),
% 16.60/11.77 inference(modus_ponens,[status(thm)],[24166, 24165])).
% 16.60/11.77 tff(24168,plain,
% 16.60/11.77 (v94(constB176) <=> (~((~v95(constB176)) | (~v104(constB176))))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24167, 22546, 770])).
% 16.60/11.77 tff(24169,plain,
% 16.60/11.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176))))))),
% 16.60/11.77 inference(rewrite,[status(thm)],[])).
% 16.60/11.77 tff(24170,plain,
% 16.60/11.77 (((~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v96(constB176)) | (~v1(constB176)))))) <=> ((~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176))))))),
% 16.60/11.77 inference(rewrite,[status(thm)],[])).
% 16.60/11.77 tff(24171,plain,
% 16.60/11.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v96(constB176)) | (~v1(constB176))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176)))))))),
% 16.60/11.77 inference(monotonicity,[status(thm)],[24170])).
% 16.60/11.77 tff(24172,plain,
% 16.60/11.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v96(constB176)) | (~v1(constB176))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176))))))),
% 16.60/11.77 inference(transitivity,[status(thm)],[24171, 24169])).
% 16.60/11.77 tff(24173,plain,
% 16.60/11.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v96(constB176)) | (~v1(constB176))))))),
% 16.60/11.77 inference(quant_inst,[status(thm)],[])).
% 16.60/11.77 tff(24174,plain,
% 16.60/11.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176)))))),
% 16.60/11.77 inference(modus_ponens,[status(thm)],[24173, 24172])).
% 16.60/11.77 tff(24175,plain,
% 16.60/11.77 (v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176))))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24174, 22546, 790])).
% 16.60/11.77 tff(24176,plain,
% 16.60/11.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB175, constB176)) | ((~v96(constB176)) <=> v98(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB175, constB176)) | ((~v96(constB176)) <=> v98(constB176)))),
% 16.60/11.77 inference(rewrite,[status(thm)],[])).
% 16.60/11.77 tff(24177,plain,
% 16.60/11.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB175, constB176)) | ((~v96(constB176)) <=> v98(constB176)))),
% 16.60/11.77 inference(quant_inst,[status(thm)],[])).
% 16.60/11.77 tff(24178,plain,
% 16.60/11.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB175, constB176)) | ((~v96(constB176)) <=> v98(constB176))),
% 16.60/11.77 inference(modus_ponens,[status(thm)],[24177, 24176])).
% 16.60/11.77 tff(24179,plain,
% 16.60/11.77 ((~v96(constB176)) <=> v98(constB176)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24178, 22546, 2332])).
% 16.60/11.77 tff(24180,plain,
% 16.60/11.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB175, constB176)) | (v98(constB176) <=> v1(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB175, constB176)) | (v98(constB176) <=> v1(constB175)))),
% 16.60/11.77 inference(rewrite,[status(thm)],[])).
% 16.60/11.77 tff(24181,plain,
% 16.60/11.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB175, constB176)) | (v98(constB176) <=> v1(constB175)))),
% 16.60/11.77 inference(quant_inst,[status(thm)],[])).
% 16.60/11.77 tff(24182,plain,
% 16.60/11.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB175, constB176)) | (v98(constB176) <=> v1(constB175))),
% 16.60/11.77 inference(modus_ponens,[status(thm)],[24181, 24180])).
% 16.60/11.77 tff(24183,plain,
% 16.60/11.77 (v98(constB176) <=> v1(constB175)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24182, 22546, 2346])).
% 16.60/11.77 tff(24184,plain,
% 16.60/11.77 ((~(v98(constB176) <=> v1(constB175))) | (~v98(constB176)) | v1(constB175)),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24185,plain,
% 16.60/11.77 ((~(v98(constB176) <=> v1(constB175))) | (~v98(constB176))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24184, 22585])).
% 16.60/11.77 tff(24186,plain,
% 16.60/11.77 (~v98(constB176)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24185, 24183])).
% 16.60/11.77 tff(24187,plain,
% 16.60/11.77 ((~((~v96(constB176)) <=> v98(constB176))) | v96(constB176) | v98(constB176)),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24188,plain,
% 16.60/11.77 (v96(constB176)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24187, 24186, 24179])).
% 16.60/11.77 tff(24189,plain,
% 16.60/11.77 (v1(constB176) <=> v1(constB176)),
% 16.60/11.77 inference(rewrite,[status(thm)],[])).
% 16.60/11.77 tff(24190,axiom,(v1(constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_176')).
% 16.60/11.77 tff(24191,plain,
% 16.60/11.77 (v1(constB176)),
% 16.60/11.77 inference(modus_ponens,[status(thm)],[24190, 24189])).
% 16.60/11.77 tff(24192,plain,
% 16.60/11.77 ((~((~v1(constB176)) | (~v96(constB176)))) | (~v1(constB176)) | (~v96(constB176))),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24193,plain,
% 16.60/11.77 ((~((~v1(constB176)) | (~v96(constB176)))) | (~v96(constB176))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24192, 24191])).
% 16.60/11.77 tff(24194,plain,
% 16.60/11.77 (~((~v1(constB176)) | (~v96(constB176)))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24193, 24188])).
% 16.60/11.77 tff(24195,plain,
% 16.60/11.77 ((~(v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176)))))) | v95(constB176) | ((~v1(constB176)) | (~v96(constB176)))),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24196,plain,
% 16.60/11.77 (v95(constB176)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24195, 24194, 24175])).
% 16.60/11.77 tff(24197,plain,
% 16.60/11.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB175, constB176)) | (v104(constB176) <=> v102(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB175, constB176)) | (v104(constB176) <=> v102(constB175)))),
% 16.60/11.77 inference(rewrite,[status(thm)],[])).
% 16.60/11.77 tff(24198,plain,
% 16.60/11.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB175, constB176)) | (v104(constB176) <=> v102(constB175)))),
% 16.60/11.77 inference(quant_inst,[status(thm)],[])).
% 16.60/11.77 tff(24199,plain,
% 16.60/11.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB175, constB176)) | (v104(constB176) <=> v102(constB175))),
% 16.60/11.77 inference(modus_ponens,[status(thm)],[24198, 24197])).
% 16.60/11.77 tff(24200,plain,
% 16.60/11.77 (v104(constB176) <=> v102(constB175)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24199, 22546, 2373])).
% 16.60/11.77 tff(24201,plain,
% 16.60/11.77 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB175) <=> (v105(constB175) | v106(constB175)))),
% 16.60/11.77 inference(quant_inst,[status(thm)],[])).
% 16.60/11.77 tff(24202,plain,
% 16.60/11.77 (v102(constB175) <=> (v105(constB175) | v106(constB175))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24201, 2384])).
% 16.60/11.77 tff(24203,plain,
% 16.60/11.77 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB175) <=> (~((~v107(constB175)) | (~v120(constB175)))))),
% 16.60/11.77 inference(quant_inst,[status(thm)],[])).
% 16.60/11.77 tff(24204,plain,
% 16.60/11.77 (v106(constB175) <=> (~((~v107(constB175)) | (~v120(constB175))))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24203, 2396])).
% 16.60/11.77 tff(24205,plain,
% 16.60/11.77 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB175) <=> (v108(constB175) | v119(constB175)))),
% 16.60/11.77 inference(quant_inst,[status(thm)],[])).
% 16.60/11.77 tff(24206,plain,
% 16.60/11.77 (v107(constB175) <=> (v108(constB175) | v119(constB175))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24205, 2405])).
% 16.60/11.77 tff(24207,plain,
% 16.60/11.77 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB175) <=> (~(v84(constB175, 0) | (~v84(constB175, 1)) | (~v84(constB175, 2)))))),
% 16.60/11.77 inference(quant_inst,[status(thm)],[])).
% 16.60/11.77 tff(24208,plain,
% 16.60/11.77 (v119(constB175) <=> (~(v84(constB175, 0) | (~v84(constB175, 1)) | (~v84(constB175, 2))))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24207, 2849])).
% 16.60/11.77 tff(24209,plain,
% 16.60/11.77 ((~(v84(constB175, 0) | (~v84(constB175, 1)) | (~v84(constB175, 2)))) | v84(constB175, 0) | (~v84(constB175, 1)) | (~v84(constB175, 2))),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24210,plain,
% 16.60/11.77 (~(v84(constB175, 0) | (~v84(constB175, 1)) | (~v84(constB175, 2)))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24209, 24102, 24062, 24137])).
% 16.60/11.77 tff(24211,plain,
% 16.60/11.77 ((~(v119(constB175) <=> (~(v84(constB175, 0) | (~v84(constB175, 1)) | (~v84(constB175, 2)))))) | v119(constB175) | (v84(constB175, 0) | (~v84(constB175, 1)) | (~v84(constB175, 2)))),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24212,plain,
% 16.60/11.77 (v119(constB175)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24211, 24210, 24208])).
% 16.60/11.77 tff(24213,plain,
% 16.60/11.77 ((v108(constB175) | v119(constB175)) | (~v119(constB175))),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24214,plain,
% 16.60/11.77 (v108(constB175) | v119(constB175)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24213, 24212])).
% 16.60/11.77 tff(24215,plain,
% 16.60/11.77 ((~(v107(constB175) <=> (v108(constB175) | v119(constB175)))) | v107(constB175) | (~(v108(constB175) | v119(constB175)))),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24216,plain,
% 16.60/11.77 (v107(constB175)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24215, 24214, 24206])).
% 16.60/11.77 tff(24217,plain,
% 16.60/11.77 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB175)) <=> v105(constB175))),
% 16.60/11.77 inference(quant_inst,[status(thm)],[])).
% 16.60/11.77 tff(24218,plain,
% 16.60/11.77 ((~v120(constB175)) <=> v105(constB175)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24217, 2484])).
% 16.60/11.77 tff(24219,plain,
% 16.60/11.77 ((~((~v120(constB175)) <=> v105(constB175))) | v120(constB175) | v105(constB175)),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24220,plain,
% 16.60/11.77 ((~((~v120(constB175)) <=> v105(constB175))) | v120(constB175)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24219, 22559])).
% 16.60/11.77 tff(24221,plain,
% 16.60/11.77 (v120(constB175)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24220, 24218])).
% 16.60/11.77 tff(24222,plain,
% 16.60/11.77 ((~((~v107(constB175)) | (~v120(constB175)))) | (~v107(constB175)) | (~v120(constB175))),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24223,plain,
% 16.60/11.77 ((~((~v107(constB175)) | (~v120(constB175)))) | (~v107(constB175))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24222, 24221])).
% 16.60/11.77 tff(24224,plain,
% 16.60/11.77 (~((~v107(constB175)) | (~v120(constB175)))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24223, 24216])).
% 16.60/11.77 tff(24225,plain,
% 16.60/11.77 ((~(v106(constB175) <=> (~((~v107(constB175)) | (~v120(constB175)))))) | v106(constB175) | ((~v107(constB175)) | (~v120(constB175)))),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24226,plain,
% 16.60/11.77 (v106(constB175)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24225, 24224, 24204])).
% 16.60/11.77 tff(24227,plain,
% 16.60/11.77 ((v105(constB175) | v106(constB175)) | (~v106(constB175))),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24228,plain,
% 16.60/11.77 (v105(constB175) | v106(constB175)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24227, 24226])).
% 16.60/11.77 tff(24229,plain,
% 16.60/11.77 ((~(v102(constB175) <=> (v105(constB175) | v106(constB175)))) | v102(constB175) | (~(v105(constB175) | v106(constB175)))),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24230,plain,
% 16.60/11.77 (v102(constB175)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24229, 24228, 24202])).
% 16.60/11.77 tff(24231,plain,
% 16.60/11.77 ((~(v104(constB176) <=> v102(constB175))) | v104(constB176) | (~v102(constB175))),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24232,plain,
% 16.60/11.77 (v104(constB176)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24231, 24230, 24200])).
% 16.60/11.77 tff(24233,plain,
% 16.60/11.77 ((~((~v95(constB176)) | (~v104(constB176)))) | (~v95(constB176)) | (~v104(constB176))),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24234,plain,
% 16.60/11.77 (~((~v95(constB176)) | (~v104(constB176)))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24233, 24232, 24196])).
% 16.60/11.77 tff(24235,plain,
% 16.60/11.77 ((~(v94(constB176) <=> (~((~v95(constB176)) | (~v104(constB176)))))) | v94(constB176) | ((~v95(constB176)) | (~v104(constB176)))),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24236,plain,
% 16.60/11.77 (v94(constB176)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24235, 24234, 24168])).
% 16.60/11.77 tff(24237,plain,
% 16.60/11.77 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB176)) | (~(((~v84(constB176, 2)) <=> v123(constB176, 2)) | ((~v84(constB176, 1)) <=> v123(constB176, 1)) | ((~v84(constB176, 0)) <=> v123(constB176, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB176)) | (~(((~v84(constB176, 2)) <=> v123(constB176, 2)) | ((~v84(constB176, 1)) <=> v123(constB176, 1)) | ((~v84(constB176, 0)) <=> v123(constB176, 0)))))),
% 16.60/11.77 inference(rewrite,[status(thm)],[])).
% 16.60/11.77 tff(24238,plain,
% 16.60/11.77 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB176)) | (~(((~v84(constB176, 2)) <=> v123(constB176, 2)) | ((~v84(constB176, 1)) <=> v123(constB176, 1)) | ((~v84(constB176, 0)) <=> v123(constB176, 0)))))),
% 16.60/11.77 inference(quant_inst,[status(thm)],[])).
% 16.60/11.77 tff(24239,plain,
% 16.60/11.77 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB176)) | (~(((~v84(constB176, 2)) <=> v123(constB176, 2)) | ((~v84(constB176, 1)) <=> v123(constB176, 1)) | ((~v84(constB176, 0)) <=> v123(constB176, 0))))),
% 16.60/11.77 inference(modus_ponens,[status(thm)],[24238, 24237])).
% 16.60/11.77 tff(24240,plain,
% 16.60/11.77 ((~v94(constB176)) | (~(((~v84(constB176, 2)) <=> v123(constB176, 2)) | ((~v84(constB176, 1)) <=> v123(constB176, 1)) | ((~v84(constB176, 0)) <=> v123(constB176, 0))))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24239, 2517])).
% 16.60/11.77 tff(24241,plain,
% 16.60/11.77 (~(((~v84(constB176, 2)) <=> v123(constB176, 2)) | ((~v84(constB176, 1)) <=> v123(constB176, 1)) | ((~v84(constB176, 0)) <=> v123(constB176, 0)))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24240, 24236])).
% 16.60/11.77 tff(24242,plain,
% 16.60/11.77 ((((~v84(constB176, 2)) <=> v123(constB176, 2)) | ((~v84(constB176, 1)) <=> v123(constB176, 1)) | ((~v84(constB176, 0)) <=> v123(constB176, 0))) | (~((~v84(constB176, 2)) <=> v123(constB176, 2)))),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24243,plain,
% 16.60/11.77 (~((~v84(constB176, 2)) <=> v123(constB176, 2))),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24242, 24241])).
% 16.60/11.77 tff(24244,plain,
% 16.60/11.77 (((~v84(constB176, 2)) <=> v123(constB176, 2)) | (~v84(constB176, 2)) | v123(constB176, 2)),
% 16.60/11.77 inference(tautology,[status(thm)],[])).
% 16.60/11.77 tff(24245,plain,
% 16.60/11.77 (~v84(constB176, 2)),
% 16.60/11.77 inference(unit_resolution,[status(thm)],[24244, 24243, 24164])).
% 16.60/11.78 tff(24246,plain,
% 16.60/11.78 (((~v84(constB177, 2)) <=> v84(constB176, 2)) | (~v84(constB177, 2)) | v84(constB176, 2)),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24247,plain,
% 16.60/11.78 (~v84(constB177, 2)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24246, 24245, 22543])).
% 16.60/11.78 tff(24248,plain,
% 16.60/11.78 ((((~v84(constB177, 1)) <=> v84(constB176, 1)) | ((~v84(constB177, 2)) <=> v84(constB176, 2)) | ((~v84(constB177, 0)) <=> v84(constB176, 0))) | (~((~v84(constB177, 0)) <=> v84(constB176, 0)))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24249,plain,
% 16.60/11.78 (~((~v84(constB177, 0)) <=> v84(constB176, 0))),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24248, 22541])).
% 16.60/11.78 tff(24250,plain,
% 16.60/11.78 ((((~v123(constB176, 2)) <=> v121(constB175, 2)) | ((~v123(constB176, 1)) <=> v121(constB175, 1)) | ((~v123(constB176, 0)) <=> v121(constB175, 0))) | (~((~v123(constB176, 0)) <=> v121(constB175, 0)))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24251,plain,
% 16.60/11.78 (~((~v123(constB176, 0)) <=> v121(constB175, 0))),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24250, 22550])).
% 16.60/11.78 tff(24252,plain,
% 16.60/11.78 ((((~v121(constB175, 2)) <=> v124(constB175, 2)) | ((~v121(constB175, 0)) <=> v124(constB175, 0)) | ((~v121(constB175, 1)) <=> v124(constB175, 1))) | (~((~v121(constB175, 0)) <=> v124(constB175, 0)))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24253,plain,
% 16.60/11.78 (~((~v121(constB175, 0)) <=> v124(constB175, 0))),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24252, 22564])).
% 16.60/11.78 tff(24254,plain,
% 16.60/11.78 ((v124(constB175, 2) | v124(constB175, 1) | (~v124(constB175, 0))) | v124(constB175, 0)),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24255,plain,
% 16.60/11.78 (v124(constB175, 0)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24254, 24158])).
% 16.60/11.78 tff(24256,plain,
% 16.60/11.78 (((~v121(constB175, 0)) <=> v124(constB175, 0)) | v121(constB175, 0) | (~v124(constB175, 0))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24257,plain,
% 16.60/11.78 (v121(constB175, 0)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24256, 24255, 24253])).
% 16.60/11.78 tff(24258,plain,
% 16.60/11.78 (((~v123(constB176, 0)) <=> v121(constB175, 0)) | v123(constB176, 0) | (~v121(constB175, 0))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24259,plain,
% 16.60/11.78 (v123(constB176, 0)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24258, 24257, 24251])).
% 16.60/11.78 tff(24260,plain,
% 16.60/11.78 ((((~v84(constB176, 2)) <=> v123(constB176, 2)) | ((~v84(constB176, 1)) <=> v123(constB176, 1)) | ((~v84(constB176, 0)) <=> v123(constB176, 0))) | (~((~v84(constB176, 0)) <=> v123(constB176, 0)))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24261,plain,
% 16.60/11.78 (~((~v84(constB176, 0)) <=> v123(constB176, 0))),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24260, 24241])).
% 16.60/11.78 tff(24262,plain,
% 16.60/11.78 (((~v84(constB176, 0)) <=> v123(constB176, 0)) | v84(constB176, 0) | (~v123(constB176, 0))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24263,plain,
% 16.60/11.78 (v84(constB176, 0)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24262, 24261, 24259])).
% 16.60/11.78 tff(24264,plain,
% 16.60/11.78 (((~v84(constB177, 0)) <=> v84(constB176, 0)) | v84(constB177, 0) | (~v84(constB176, 0))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24265,plain,
% 16.60/11.78 (v84(constB177, 0)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24264, 24263, 24249])).
% 16.60/11.78 tff(24266,plain,
% 16.60/11.78 ((((~v84(constB177, 1)) <=> v84(constB176, 1)) | ((~v84(constB177, 2)) <=> v84(constB176, 2)) | ((~v84(constB177, 0)) <=> v84(constB176, 0))) | (~((~v84(constB177, 1)) <=> v84(constB176, 1)))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24267,plain,
% 16.60/11.78 (~((~v84(constB177, 1)) <=> v84(constB176, 1))),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24266, 22541])).
% 16.60/11.78 tff(24268,plain,
% 16.60/11.78 ((((~v123(constB176, 2)) <=> v121(constB175, 2)) | ((~v123(constB176, 1)) <=> v121(constB175, 1)) | ((~v123(constB176, 0)) <=> v121(constB175, 0))) | (~((~v123(constB176, 1)) <=> v121(constB175, 1)))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24269,plain,
% 16.60/11.78 (~((~v123(constB176, 1)) <=> v121(constB175, 1))),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24268, 22550])).
% 16.60/11.78 tff(24270,plain,
% 16.60/11.78 ((((~v121(constB175, 2)) <=> v124(constB175, 2)) | ((~v121(constB175, 0)) <=> v124(constB175, 0)) | ((~v121(constB175, 1)) <=> v124(constB175, 1))) | (~((~v121(constB175, 1)) <=> v124(constB175, 1)))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24271,plain,
% 16.60/11.78 (~((~v121(constB175, 1)) <=> v124(constB175, 1))),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24270, 22564])).
% 16.60/11.78 tff(24272,plain,
% 16.60/11.78 ((v124(constB175, 2) | v124(constB175, 1) | (~v124(constB175, 0))) | (~v124(constB175, 1))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24273,plain,
% 16.60/11.78 (~v124(constB175, 1)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24272, 24158])).
% 16.60/11.78 tff(24274,plain,
% 16.60/11.78 (((~v121(constB175, 1)) <=> v124(constB175, 1)) | (~v121(constB175, 1)) | v124(constB175, 1)),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24275,plain,
% 16.60/11.78 (~v121(constB175, 1)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24274, 24273, 24271])).
% 16.60/11.78 tff(24276,plain,
% 16.60/11.78 (((~v123(constB176, 1)) <=> v121(constB175, 1)) | (~v123(constB176, 1)) | v121(constB175, 1)),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24277,plain,
% 16.60/11.78 (~v123(constB176, 1)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24276, 24275, 24269])).
% 16.60/11.78 tff(24278,plain,
% 16.60/11.78 ((((~v84(constB176, 2)) <=> v123(constB176, 2)) | ((~v84(constB176, 1)) <=> v123(constB176, 1)) | ((~v84(constB176, 0)) <=> v123(constB176, 0))) | (~((~v84(constB176, 1)) <=> v123(constB176, 1)))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24279,plain,
% 16.60/11.78 (~((~v84(constB176, 1)) <=> v123(constB176, 1))),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24278, 24241])).
% 16.60/11.78 tff(24280,plain,
% 16.60/11.78 (((~v84(constB176, 1)) <=> v123(constB176, 1)) | (~v84(constB176, 1)) | v123(constB176, 1)),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24281,plain,
% 16.60/11.78 (~v84(constB176, 1)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24280, 24279, 24277])).
% 16.60/11.78 tff(24282,plain,
% 16.60/11.78 (((~v84(constB177, 1)) <=> v84(constB176, 1)) | (~v84(constB177, 1)) | v84(constB176, 1)),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24283,plain,
% 16.60/11.78 (~v84(constB177, 1)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24282, 24281, 24267])).
% 16.60/11.78 tff(24284,plain,
% 16.60/11.78 ((~(v84(constB177, 1) | v84(constB177, 2) | (~v84(constB177, 0)))) | v84(constB177, 1) | v84(constB177, 2) | (~v84(constB177, 0))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24285,plain,
% 16.60/11.78 (~(v84(constB177, 1) | v84(constB177, 2) | (~v84(constB177, 0)))),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24284, 24283, 24265, 24247])).
% 16.60/11.78 tff(24286,plain,
% 16.60/11.78 ((~(v114(constB177) <=> (~(v84(constB177, 1) | v84(constB177, 2) | (~v84(constB177, 0)))))) | v114(constB177) | (v84(constB177, 1) | v84(constB177, 2) | (~v84(constB177, 0)))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24287,plain,
% 16.60/11.78 (v114(constB177)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24286, 24285, 22507])).
% 16.60/11.78 tff(24288,plain,
% 16.60/11.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB177)) | (~(v124(constB177, 2) | v124(constB177, 0) | (~v124(constB177, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB177)) | (~(v124(constB177, 2) | v124(constB177, 0) | (~v124(constB177, 1)))))),
% 16.60/11.78 inference(rewrite,[status(thm)],[])).
% 16.60/11.78 tff(24289,plain,
% 16.60/11.78 (((~v114(constB177)) | (~(v124(constB177, 0) | v124(constB177, 2) | (~v124(constB177, 1))))) <=> ((~v114(constB177)) | (~(v124(constB177, 2) | v124(constB177, 0) | (~v124(constB177, 1)))))),
% 16.60/11.78 inference(rewrite,[status(thm)],[])).
% 16.60/11.78 tff(24290,plain,
% 16.60/11.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB177)) | (~(v124(constB177, 0) | v124(constB177, 2) | (~v124(constB177, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB177)) | (~(v124(constB177, 2) | v124(constB177, 0) | (~v124(constB177, 1))))))),
% 16.60/11.78 inference(monotonicity,[status(thm)],[24289])).
% 16.60/11.78 tff(24291,plain,
% 16.60/11.78 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB177)) | (~(v124(constB177, 0) | v124(constB177, 2) | (~v124(constB177, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB177)) | (~(v124(constB177, 2) | v124(constB177, 0) | (~v124(constB177, 1)))))),
% 16.60/11.78 inference(transitivity,[status(thm)],[24290, 24288])).
% 16.60/11.78 tff(24292,plain,
% 16.60/11.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB177)) | (~(v124(constB177, 0) | v124(constB177, 2) | (~v124(constB177, 1)))))),
% 16.60/11.78 inference(quant_inst,[status(thm)],[])).
% 16.60/11.78 tff(24293,plain,
% 16.60/11.78 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB177)) | (~(v124(constB177, 2) | v124(constB177, 0) | (~v124(constB177, 1))))),
% 16.60/11.78 inference(modus_ponens,[status(thm)],[24292, 24291])).
% 16.60/11.78 tff(24294,plain,
% 16.60/11.78 ((~v114(constB177)) | (~(v124(constB177, 2) | v124(constB177, 0) | (~v124(constB177, 1))))),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24293, 2964])).
% 16.60/11.78 tff(24295,plain,
% 16.60/11.78 (~(v124(constB177, 2) | v124(constB177, 0) | (~v124(constB177, 1)))),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24294, 24287])).
% 16.60/11.78 tff(24296,plain,
% 16.60/11.78 ((v124(constB177, 2) | v124(constB177, 0) | (~v124(constB177, 1))) | (~v124(constB177, 2))),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24297,plain,
% 16.60/11.78 (~v124(constB177, 2)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24296, 24295])).
% 16.60/11.78 tff(24298,plain,
% 16.60/11.78 (((~v121(constB177, 2)) <=> v124(constB177, 2)) | (~v121(constB177, 2)) | v124(constB177, 2)),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24299,plain,
% 16.60/11.78 (~v121(constB177, 2)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24298, 24297, 22505])).
% 16.60/11.78 tff(24300,plain,
% 16.60/11.78 (((~v123(constB178, 2)) <=> v121(constB177, 2)) | (~v123(constB178, 2)) | v121(constB177, 2)),
% 16.60/11.78 inference(tautology,[status(thm)],[])).
% 16.60/11.78 tff(24301,plain,
% 16.60/11.78 (~v123(constB178, 2)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24300, 24299, 22491])).
% 16.60/11.78 tff(24302,plain,
% 16.60/11.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB177, constB178)) | (v94(constB178) <=> (~((~v95(constB178)) | (~v104(constB178))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB177, constB178)) | (v94(constB178) <=> (~((~v95(constB178)) | (~v104(constB178))))))),
% 16.60/11.78 inference(rewrite,[status(thm)],[])).
% 16.60/11.78 tff(24303,plain,
% 16.60/11.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB177, constB178)) | (v94(constB178) <=> (~((~v95(constB178)) | (~v104(constB178))))))),
% 16.60/11.78 inference(quant_inst,[status(thm)],[])).
% 16.60/11.78 tff(24304,plain,
% 16.60/11.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB177, constB178)) | (v94(constB178) <=> (~((~v95(constB178)) | (~v104(constB178)))))),
% 16.60/11.78 inference(modus_ponens,[status(thm)],[24303, 24302])).
% 16.60/11.78 tff(24305,plain,
% 16.60/11.78 (v94(constB178) <=> (~((~v95(constB178)) | (~v104(constB178))))),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24304, 22485, 770])).
% 16.60/11.78 tff(24306,plain,
% 16.60/11.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178))))))),
% 16.60/11.78 inference(rewrite,[status(thm)],[])).
% 16.60/11.78 tff(24307,plain,
% 16.60/11.78 (((~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v96(constB178)) | (~v1(constB178)))))) <=> ((~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178))))))),
% 16.60/11.78 inference(rewrite,[status(thm)],[])).
% 16.60/11.78 tff(24308,plain,
% 16.60/11.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v96(constB178)) | (~v1(constB178))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178)))))))),
% 16.60/11.78 inference(monotonicity,[status(thm)],[24307])).
% 16.60/11.78 tff(24309,plain,
% 16.60/11.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v96(constB178)) | (~v1(constB178))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178))))))),
% 16.60/11.78 inference(transitivity,[status(thm)],[24308, 24306])).
% 16.60/11.78 tff(24310,plain,
% 16.60/11.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v96(constB178)) | (~v1(constB178))))))),
% 16.60/11.78 inference(quant_inst,[status(thm)],[])).
% 16.60/11.78 tff(24311,plain,
% 16.60/11.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178)))))),
% 16.60/11.78 inference(modus_ponens,[status(thm)],[24310, 24309])).
% 16.60/11.78 tff(24312,plain,
% 16.60/11.78 (v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178))))),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24311, 22485, 790])).
% 16.60/11.78 tff(24313,plain,
% 16.60/11.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB177, constB178)) | ((~v96(constB178)) <=> v98(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB177, constB178)) | ((~v96(constB178)) <=> v98(constB178)))),
% 16.60/11.78 inference(rewrite,[status(thm)],[])).
% 16.60/11.78 tff(24314,plain,
% 16.60/11.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB177, constB178)) | ((~v96(constB178)) <=> v98(constB178)))),
% 16.60/11.78 inference(quant_inst,[status(thm)],[])).
% 16.60/11.78 tff(24315,plain,
% 16.60/11.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB177, constB178)) | ((~v96(constB178)) <=> v98(constB178))),
% 16.60/11.78 inference(modus_ponens,[status(thm)],[24314, 24313])).
% 16.60/11.78 tff(24316,plain,
% 16.60/11.78 ((~v96(constB178)) <=> v98(constB178)),
% 16.60/11.78 inference(unit_resolution,[status(thm)],[24315, 22485, 2332])).
% 16.60/11.78 tff(24317,plain,
% 16.60/11.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB177, constB178)) | (v98(constB178) <=> v1(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB177, constB178)) | (v98(constB178) <=> v1(constB177)))),
% 16.60/11.78 inference(rewrite,[status(thm)],[])).
% 16.60/11.78 tff(24318,plain,
% 16.60/11.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB177, constB178)) | (v98(constB178) <=> v1(constB177)))),
% 16.60/11.78 inference(quant_inst,[status(thm)],[])).
% 16.60/11.78 tff(24319,plain,
% 16.60/11.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB177, constB178)) | (v98(constB178) <=> v1(constB177))),
% 16.60/11.79 inference(modus_ponens,[status(thm)],[24318, 24317])).
% 16.60/11.79 tff(24320,plain,
% 16.60/11.79 (v98(constB178) <=> v1(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24319, 22485, 2346])).
% 16.60/11.79 tff(24321,plain,
% 16.60/11.79 ((~(v98(constB178) <=> v1(constB177))) | (~v98(constB178)) | v1(constB177)),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24322,plain,
% 16.60/11.79 ((~(v98(constB178) <=> v1(constB177))) | (~v98(constB178))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24321, 22524])).
% 16.60/11.79 tff(24323,plain,
% 16.60/11.79 (~v98(constB178)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24322, 24320])).
% 16.60/11.79 tff(24324,plain,
% 16.60/11.79 ((~((~v96(constB178)) <=> v98(constB178))) | v96(constB178) | v98(constB178)),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24325,plain,
% 16.60/11.79 (v96(constB178)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24324, 24323, 24316])).
% 16.60/11.79 tff(24326,plain,
% 16.60/11.79 (v1(constB178) <=> v1(constB178)),
% 16.60/11.79 inference(rewrite,[status(thm)],[])).
% 16.60/11.79 tff(24327,axiom,(v1(constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_178')).
% 16.60/11.79 tff(24328,plain,
% 16.60/11.79 (v1(constB178)),
% 16.60/11.79 inference(modus_ponens,[status(thm)],[24327, 24326])).
% 16.60/11.79 tff(24329,plain,
% 16.60/11.79 ((~((~v1(constB178)) | (~v96(constB178)))) | (~v1(constB178)) | (~v96(constB178))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24330,plain,
% 16.60/11.79 ((~((~v1(constB178)) | (~v96(constB178)))) | (~v96(constB178))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24329, 24328])).
% 16.60/11.79 tff(24331,plain,
% 16.60/11.79 (~((~v1(constB178)) | (~v96(constB178)))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24330, 24325])).
% 16.60/11.79 tff(24332,plain,
% 16.60/11.79 ((~(v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178)))))) | v95(constB178) | ((~v1(constB178)) | (~v96(constB178)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24333,plain,
% 16.60/11.79 (v95(constB178)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24332, 24331, 24312])).
% 16.60/11.79 tff(24334,plain,
% 16.60/11.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB177, constB178)) | (v104(constB178) <=> v102(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB177, constB178)) | (v104(constB178) <=> v102(constB177)))),
% 16.60/11.79 inference(rewrite,[status(thm)],[])).
% 16.60/11.79 tff(24335,plain,
% 16.60/11.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB177, constB178)) | (v104(constB178) <=> v102(constB177)))),
% 16.60/11.79 inference(quant_inst,[status(thm)],[])).
% 16.60/11.79 tff(24336,plain,
% 16.60/11.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB177, constB178)) | (v104(constB178) <=> v102(constB177))),
% 16.60/11.79 inference(modus_ponens,[status(thm)],[24335, 24334])).
% 16.60/11.79 tff(24337,plain,
% 16.60/11.79 (v104(constB178) <=> v102(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24336, 22485, 2373])).
% 16.60/11.79 tff(24338,plain,
% 16.60/11.79 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB177) <=> (v105(constB177) | v106(constB177)))),
% 16.60/11.79 inference(quant_inst,[status(thm)],[])).
% 16.60/11.79 tff(24339,plain,
% 16.60/11.79 (v102(constB177) <=> (v105(constB177) | v106(constB177))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24338, 2384])).
% 16.60/11.79 tff(24340,plain,
% 16.60/11.79 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB177) <=> (~((~v107(constB177)) | (~v120(constB177)))))),
% 16.60/11.79 inference(quant_inst,[status(thm)],[])).
% 16.60/11.79 tff(24341,plain,
% 16.60/11.79 (v106(constB177) <=> (~((~v107(constB177)) | (~v120(constB177))))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24340, 2396])).
% 16.60/11.79 tff(24342,plain,
% 16.60/11.79 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB177) <=> (v108(constB177) | v119(constB177)))),
% 16.60/11.79 inference(quant_inst,[status(thm)],[])).
% 16.60/11.79 tff(24343,plain,
% 16.60/11.79 (v107(constB177) <=> (v108(constB177) | v119(constB177))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24342, 2405])).
% 16.60/11.79 tff(24344,plain,
% 16.60/11.79 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB177) <=> (v109(constB177) | v118(constB177)))),
% 16.60/11.79 inference(quant_inst,[status(thm)],[])).
% 16.60/11.79 tff(24345,plain,
% 16.60/11.79 (v108(constB177) <=> (v109(constB177) | v118(constB177))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24344, 2414])).
% 16.60/11.79 tff(24346,plain,
% 16.60/11.79 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB177) <=> (v110(constB177) | v117(constB177)))),
% 16.60/11.79 inference(quant_inst,[status(thm)],[])).
% 16.60/11.79 tff(24347,plain,
% 16.60/11.79 (v109(constB177) <=> (v110(constB177) | v117(constB177))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24346, 2423])).
% 16.60/11.79 tff(24348,plain,
% 16.60/11.79 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB177) <=> (v111(constB177) | v116(constB177)))),
% 16.60/11.79 inference(quant_inst,[status(thm)],[])).
% 16.60/11.79 tff(24349,plain,
% 16.60/11.79 (v110(constB177) <=> (v111(constB177) | v116(constB177))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24348, 2432])).
% 16.60/11.79 tff(24350,plain,
% 16.60/11.79 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB177) <=> (v112(constB177) | v115(constB177)))),
% 16.60/11.79 inference(quant_inst,[status(thm)],[])).
% 16.60/11.79 tff(24351,plain,
% 16.60/11.79 (v111(constB177) <=> (v112(constB177) | v115(constB177))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24350, 2441])).
% 16.60/11.79 tff(24352,plain,
% 16.60/11.79 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB177) <=> (v113(constB177) | v114(constB177)))),
% 16.60/11.79 inference(quant_inst,[status(thm)],[])).
% 16.60/11.79 tff(24353,plain,
% 16.60/11.79 (v112(constB177) <=> (v113(constB177) | v114(constB177))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24352, 2450])).
% 16.60/11.79 tff(24354,plain,
% 16.60/11.79 ((v113(constB177) | v114(constB177)) | (~v114(constB177))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24355,plain,
% 16.60/11.79 (v113(constB177) | v114(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24354, 24287])).
% 16.60/11.79 tff(24356,plain,
% 16.60/11.79 ((~(v112(constB177) <=> (v113(constB177) | v114(constB177)))) | v112(constB177) | (~(v113(constB177) | v114(constB177)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24357,plain,
% 16.60/11.79 (v112(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24356, 24355, 24353])).
% 16.60/11.79 tff(24358,plain,
% 16.60/11.79 ((v112(constB177) | v115(constB177)) | (~v112(constB177))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24359,plain,
% 16.60/11.79 (v112(constB177) | v115(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24358, 24357])).
% 16.60/11.79 tff(24360,plain,
% 16.60/11.79 ((~(v111(constB177) <=> (v112(constB177) | v115(constB177)))) | v111(constB177) | (~(v112(constB177) | v115(constB177)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24361,plain,
% 16.60/11.79 (v111(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24360, 24359, 24351])).
% 16.60/11.79 tff(24362,plain,
% 16.60/11.79 ((v111(constB177) | v116(constB177)) | (~v111(constB177))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24363,plain,
% 16.60/11.79 (v111(constB177) | v116(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24362, 24361])).
% 16.60/11.79 tff(24364,plain,
% 16.60/11.79 ((~(v110(constB177) <=> (v111(constB177) | v116(constB177)))) | v110(constB177) | (~(v111(constB177) | v116(constB177)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24365,plain,
% 16.60/11.79 (v110(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24364, 24363, 24349])).
% 16.60/11.79 tff(24366,plain,
% 16.60/11.79 ((v110(constB177) | v117(constB177)) | (~v110(constB177))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24367,plain,
% 16.60/11.79 (v110(constB177) | v117(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24366, 24365])).
% 16.60/11.79 tff(24368,plain,
% 16.60/11.79 ((~(v109(constB177) <=> (v110(constB177) | v117(constB177)))) | v109(constB177) | (~(v110(constB177) | v117(constB177)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24369,plain,
% 16.60/11.79 (v109(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24368, 24367, 24347])).
% 16.60/11.79 tff(24370,plain,
% 16.60/11.79 ((v109(constB177) | v118(constB177)) | (~v109(constB177))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24371,plain,
% 16.60/11.79 (v109(constB177) | v118(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24370, 24369])).
% 16.60/11.79 tff(24372,plain,
% 16.60/11.79 ((~(v108(constB177) <=> (v109(constB177) | v118(constB177)))) | v108(constB177) | (~(v109(constB177) | v118(constB177)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24373,plain,
% 16.60/11.79 (v108(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24372, 24371, 24345])).
% 16.60/11.79 tff(24374,plain,
% 16.60/11.79 ((v108(constB177) | v119(constB177)) | (~v108(constB177))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24375,plain,
% 16.60/11.79 (v108(constB177) | v119(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24374, 24373])).
% 16.60/11.79 tff(24376,plain,
% 16.60/11.79 ((~(v107(constB177) <=> (v108(constB177) | v119(constB177)))) | v107(constB177) | (~(v108(constB177) | v119(constB177)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24377,plain,
% 16.60/11.79 (v107(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24376, 24375, 24343])).
% 16.60/11.79 tff(24378,plain,
% 16.60/11.79 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB177)) <=> v105(constB177))),
% 16.60/11.79 inference(quant_inst,[status(thm)],[])).
% 16.60/11.79 tff(24379,plain,
% 16.60/11.79 ((~v120(constB177)) <=> v105(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24378, 2484])).
% 16.60/11.79 tff(24380,plain,
% 16.60/11.79 ((~((~v120(constB177)) <=> v105(constB177))) | v120(constB177) | v105(constB177)),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24381,plain,
% 16.60/11.79 ((~((~v120(constB177)) <=> v105(constB177))) | v120(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24380, 22498])).
% 16.60/11.79 tff(24382,plain,
% 16.60/11.79 (v120(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24381, 24379])).
% 16.60/11.79 tff(24383,plain,
% 16.60/11.79 ((~((~v107(constB177)) | (~v120(constB177)))) | (~v107(constB177)) | (~v120(constB177))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24384,plain,
% 16.60/11.79 ((~((~v107(constB177)) | (~v120(constB177)))) | (~v107(constB177))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24383, 24382])).
% 16.60/11.79 tff(24385,plain,
% 16.60/11.79 (~((~v107(constB177)) | (~v120(constB177)))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24384, 24377])).
% 16.60/11.79 tff(24386,plain,
% 16.60/11.79 ((~(v106(constB177) <=> (~((~v107(constB177)) | (~v120(constB177)))))) | v106(constB177) | ((~v107(constB177)) | (~v120(constB177)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24387,plain,
% 16.60/11.79 (v106(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24386, 24385, 24341])).
% 16.60/11.79 tff(24388,plain,
% 16.60/11.79 ((v105(constB177) | v106(constB177)) | (~v106(constB177))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24389,plain,
% 16.60/11.79 (v105(constB177) | v106(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24388, 24387])).
% 16.60/11.79 tff(24390,plain,
% 16.60/11.79 ((~(v102(constB177) <=> (v105(constB177) | v106(constB177)))) | v102(constB177) | (~(v105(constB177) | v106(constB177)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24391,plain,
% 16.60/11.79 (v102(constB177)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24390, 24389, 24339])).
% 16.60/11.79 tff(24392,plain,
% 16.60/11.79 ((~(v104(constB178) <=> v102(constB177))) | v104(constB178) | (~v102(constB177))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24393,plain,
% 16.60/11.79 (v104(constB178)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24392, 24391, 24337])).
% 16.60/11.79 tff(24394,plain,
% 16.60/11.79 ((~((~v95(constB178)) | (~v104(constB178)))) | (~v95(constB178)) | (~v104(constB178))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24395,plain,
% 16.60/11.79 (~((~v95(constB178)) | (~v104(constB178)))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24394, 24393, 24333])).
% 16.60/11.79 tff(24396,plain,
% 16.60/11.79 ((~(v94(constB178) <=> (~((~v95(constB178)) | (~v104(constB178)))))) | v94(constB178) | ((~v95(constB178)) | (~v104(constB178)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24397,plain,
% 16.60/11.79 (v94(constB178)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24396, 24395, 24305])).
% 16.60/11.79 tff(24398,plain,
% 16.60/11.79 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB178)) | (~(((~v84(constB178, 0)) <=> v123(constB178, 0)) | ((~v84(constB178, 2)) <=> v123(constB178, 2)) | ((~v84(constB178, 1)) <=> v123(constB178, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB178)) | (~(((~v84(constB178, 0)) <=> v123(constB178, 0)) | ((~v84(constB178, 2)) <=> v123(constB178, 2)) | ((~v84(constB178, 1)) <=> v123(constB178, 1)))))),
% 16.60/11.79 inference(rewrite,[status(thm)],[])).
% 16.60/11.79 tff(24399,plain,
% 16.60/11.79 (((~v94(constB178)) | (~(((~v84(constB178, 2)) <=> v123(constB178, 2)) | ((~v84(constB178, 1)) <=> v123(constB178, 1)) | ((~v84(constB178, 0)) <=> v123(constB178, 0))))) <=> ((~v94(constB178)) | (~(((~v84(constB178, 0)) <=> v123(constB178, 0)) | ((~v84(constB178, 2)) <=> v123(constB178, 2)) | ((~v84(constB178, 1)) <=> v123(constB178, 1)))))),
% 16.60/11.79 inference(rewrite,[status(thm)],[])).
% 16.60/11.79 tff(24400,plain,
% 16.60/11.79 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB178)) | (~(((~v84(constB178, 2)) <=> v123(constB178, 2)) | ((~v84(constB178, 1)) <=> v123(constB178, 1)) | ((~v84(constB178, 0)) <=> v123(constB178, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB178)) | (~(((~v84(constB178, 0)) <=> v123(constB178, 0)) | ((~v84(constB178, 2)) <=> v123(constB178, 2)) | ((~v84(constB178, 1)) <=> v123(constB178, 1))))))),
% 16.60/11.79 inference(monotonicity,[status(thm)],[24399])).
% 16.60/11.79 tff(24401,plain,
% 16.60/11.79 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB178)) | (~(((~v84(constB178, 2)) <=> v123(constB178, 2)) | ((~v84(constB178, 1)) <=> v123(constB178, 1)) | ((~v84(constB178, 0)) <=> v123(constB178, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB178)) | (~(((~v84(constB178, 0)) <=> v123(constB178, 0)) | ((~v84(constB178, 2)) <=> v123(constB178, 2)) | ((~v84(constB178, 1)) <=> v123(constB178, 1)))))),
% 16.60/11.79 inference(transitivity,[status(thm)],[24400, 24398])).
% 16.60/11.79 tff(24402,plain,
% 16.60/11.79 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB178)) | (~(((~v84(constB178, 2)) <=> v123(constB178, 2)) | ((~v84(constB178, 1)) <=> v123(constB178, 1)) | ((~v84(constB178, 0)) <=> v123(constB178, 0)))))),
% 16.60/11.79 inference(quant_inst,[status(thm)],[])).
% 16.60/11.79 tff(24403,plain,
% 16.60/11.79 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB178)) | (~(((~v84(constB178, 0)) <=> v123(constB178, 0)) | ((~v84(constB178, 2)) <=> v123(constB178, 2)) | ((~v84(constB178, 1)) <=> v123(constB178, 1))))),
% 16.60/11.79 inference(modus_ponens,[status(thm)],[24402, 24401])).
% 16.60/11.79 tff(24404,plain,
% 16.60/11.79 ((~v94(constB178)) | (~(((~v84(constB178, 0)) <=> v123(constB178, 0)) | ((~v84(constB178, 2)) <=> v123(constB178, 2)) | ((~v84(constB178, 1)) <=> v123(constB178, 1))))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24403, 2517])).
% 16.60/11.79 tff(24405,plain,
% 16.60/11.79 (~(((~v84(constB178, 0)) <=> v123(constB178, 0)) | ((~v84(constB178, 2)) <=> v123(constB178, 2)) | ((~v84(constB178, 1)) <=> v123(constB178, 1)))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24404, 24397])).
% 16.60/11.79 tff(24406,plain,
% 16.60/11.79 ((((~v84(constB178, 0)) <=> v123(constB178, 0)) | ((~v84(constB178, 2)) <=> v123(constB178, 2)) | ((~v84(constB178, 1)) <=> v123(constB178, 1))) | (~((~v84(constB178, 2)) <=> v123(constB178, 2)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24407,plain,
% 16.60/11.79 (~((~v84(constB178, 2)) <=> v123(constB178, 2))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24406, 24405])).
% 16.60/11.79 tff(24408,plain,
% 16.60/11.79 (((~v84(constB178, 2)) <=> v123(constB178, 2)) | (~v84(constB178, 2)) | v123(constB178, 2)),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24409,plain,
% 16.60/11.79 (~v84(constB178, 2)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24408, 24407, 24301])).
% 16.60/11.79 tff(24410,plain,
% 16.60/11.79 (((~v84(constB179, 2)) <=> v84(constB178, 2)) | (~v84(constB179, 2)) | v84(constB178, 2)),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24411,plain,
% 16.60/11.79 (~v84(constB179, 2)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24410, 24409, 22482])).
% 16.60/11.79 tff(24412,plain,
% 16.60/11.79 ((((~v84(constB179, 1)) <=> v84(constB178, 1)) | ((~v84(constB179, 2)) <=> v84(constB178, 2)) | ((~v84(constB179, 0)) <=> v84(constB178, 0))) | (~((~v84(constB179, 0)) <=> v84(constB178, 0)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24413,plain,
% 16.60/11.79 (~((~v84(constB179, 0)) <=> v84(constB178, 0))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24412, 22480])).
% 16.60/11.79 tff(24414,plain,
% 16.60/11.79 ((((~v123(constB178, 2)) <=> v121(constB177, 2)) | ((~v123(constB178, 1)) <=> v121(constB177, 1)) | ((~v123(constB178, 0)) <=> v121(constB177, 0))) | (~((~v123(constB178, 0)) <=> v121(constB177, 0)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24415,plain,
% 16.60/11.79 (~((~v123(constB178, 0)) <=> v121(constB177, 0))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24414, 22489])).
% 16.60/11.79 tff(24416,plain,
% 16.60/11.79 ((((~v121(constB177, 2)) <=> v124(constB177, 2)) | ((~v121(constB177, 0)) <=> v124(constB177, 0)) | ((~v121(constB177, 1)) <=> v124(constB177, 1))) | (~((~v121(constB177, 0)) <=> v124(constB177, 0)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24417,plain,
% 16.60/11.79 (~((~v121(constB177, 0)) <=> v124(constB177, 0))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24416, 22503])).
% 16.60/11.79 tff(24418,plain,
% 16.60/11.79 ((v124(constB177, 2) | v124(constB177, 0) | (~v124(constB177, 1))) | (~v124(constB177, 0))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24419,plain,
% 16.60/11.79 (~v124(constB177, 0)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24418, 24295])).
% 16.60/11.79 tff(24420,plain,
% 16.60/11.79 (((~v121(constB177, 0)) <=> v124(constB177, 0)) | (~v121(constB177, 0)) | v124(constB177, 0)),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24421,plain,
% 16.60/11.79 (~v121(constB177, 0)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24420, 24419, 24417])).
% 16.60/11.79 tff(24422,plain,
% 16.60/11.79 (((~v123(constB178, 0)) <=> v121(constB177, 0)) | (~v123(constB178, 0)) | v121(constB177, 0)),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24423,plain,
% 16.60/11.79 (~v123(constB178, 0)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24422, 24421, 24415])).
% 16.60/11.79 tff(24424,plain,
% 16.60/11.79 ((((~v84(constB178, 0)) <=> v123(constB178, 0)) | ((~v84(constB178, 2)) <=> v123(constB178, 2)) | ((~v84(constB178, 1)) <=> v123(constB178, 1))) | (~((~v84(constB178, 0)) <=> v123(constB178, 0)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24425,plain,
% 16.60/11.79 (~((~v84(constB178, 0)) <=> v123(constB178, 0))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24424, 24405])).
% 16.60/11.79 tff(24426,plain,
% 16.60/11.79 (((~v84(constB178, 0)) <=> v123(constB178, 0)) | (~v84(constB178, 0)) | v123(constB178, 0)),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24427,plain,
% 16.60/11.79 (~v84(constB178, 0)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24426, 24425, 24423])).
% 16.60/11.79 tff(24428,plain,
% 16.60/11.79 (((~v84(constB179, 0)) <=> v84(constB178, 0)) | (~v84(constB179, 0)) | v84(constB178, 0)),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24429,plain,
% 16.60/11.79 (~v84(constB179, 0)),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24428, 24427, 24413])).
% 16.60/11.79 tff(24430,plain,
% 16.60/11.79 ((((~v84(constB179, 1)) <=> v84(constB178, 1)) | ((~v84(constB179, 2)) <=> v84(constB178, 2)) | ((~v84(constB179, 0)) <=> v84(constB178, 0))) | (~((~v84(constB179, 1)) <=> v84(constB178, 1)))),
% 16.60/11.79 inference(tautology,[status(thm)],[])).
% 16.60/11.79 tff(24431,plain,
% 16.60/11.79 (~((~v84(constB179, 1)) <=> v84(constB178, 1))),
% 16.60/11.79 inference(unit_resolution,[status(thm)],[24430, 22480])).
% 16.60/11.79 tff(24432,plain,
% 16.60/11.79 ((((~v123(constB178, 2)) <=> v121(constB177, 2)) | ((~v123(constB178, 1)) <=> v121(constB177, 1)) | ((~v123(constB178, 0)) <=> v121(constB177, 0))) | (~((~v123(constB178, 1)) <=> v121(constB177, 1)))),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24433,plain,
% 16.60/11.80 (~((~v123(constB178, 1)) <=> v121(constB177, 1))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24432, 22489])).
% 16.60/11.80 tff(24434,plain,
% 16.60/11.80 ((((~v121(constB177, 2)) <=> v124(constB177, 2)) | ((~v121(constB177, 0)) <=> v124(constB177, 0)) | ((~v121(constB177, 1)) <=> v124(constB177, 1))) | (~((~v121(constB177, 1)) <=> v124(constB177, 1)))),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24435,plain,
% 16.60/11.80 (~((~v121(constB177, 1)) <=> v124(constB177, 1))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24434, 22503])).
% 16.60/11.80 tff(24436,plain,
% 16.60/11.80 ((v124(constB177, 2) | v124(constB177, 0) | (~v124(constB177, 1))) | v124(constB177, 1)),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24437,plain,
% 16.60/11.80 (v124(constB177, 1)),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24436, 24295])).
% 16.60/11.80 tff(24438,plain,
% 16.60/11.80 (((~v121(constB177, 1)) <=> v124(constB177, 1)) | v121(constB177, 1) | (~v124(constB177, 1))),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24439,plain,
% 16.60/11.80 (v121(constB177, 1)),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24438, 24437, 24435])).
% 16.60/11.80 tff(24440,plain,
% 16.60/11.80 (((~v123(constB178, 1)) <=> v121(constB177, 1)) | v123(constB178, 1) | (~v121(constB177, 1))),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24441,plain,
% 16.60/11.80 (v123(constB178, 1)),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24440, 24439, 24433])).
% 16.60/11.80 tff(24442,plain,
% 16.60/11.80 ((((~v84(constB178, 0)) <=> v123(constB178, 0)) | ((~v84(constB178, 2)) <=> v123(constB178, 2)) | ((~v84(constB178, 1)) <=> v123(constB178, 1))) | (~((~v84(constB178, 1)) <=> v123(constB178, 1)))),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24443,plain,
% 16.60/11.80 (~((~v84(constB178, 1)) <=> v123(constB178, 1))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24442, 24405])).
% 16.60/11.80 tff(24444,plain,
% 16.60/11.80 (((~v84(constB178, 1)) <=> v123(constB178, 1)) | v84(constB178, 1) | (~v123(constB178, 1))),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24445,plain,
% 16.60/11.80 (v84(constB178, 1)),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24444, 24443, 24441])).
% 16.60/11.80 tff(24446,plain,
% 16.60/11.80 (((~v84(constB179, 1)) <=> v84(constB178, 1)) | v84(constB179, 1) | (~v84(constB178, 1))),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24447,plain,
% 16.60/11.80 (v84(constB179, 1)),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24446, 24445, 24431])).
% 16.60/11.80 tff(24448,plain,
% 16.60/11.80 ((~(v84(constB179, 2) | v84(constB179, 0) | (~v84(constB179, 1)))) | v84(constB179, 2) | v84(constB179, 0) | (~v84(constB179, 1))),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24449,plain,
% 16.60/11.80 (~(v84(constB179, 2) | v84(constB179, 0) | (~v84(constB179, 1)))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24448, 24447, 24429, 24411])).
% 16.60/11.80 tff(24450,plain,
% 16.60/11.80 ((~(v115(constB179) <=> (~(v84(constB179, 2) | v84(constB179, 0) | (~v84(constB179, 1)))))) | v115(constB179) | (v84(constB179, 2) | v84(constB179, 0) | (~v84(constB179, 1)))),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24451,plain,
% 16.60/11.80 (v115(constB179)),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24450, 24449, 22446])).
% 16.60/11.80 tff(24452,plain,
% 16.60/11.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB179)) | (~(v124(constB179, 2) | (~v124(constB179, 0)) | (~v124(constB179, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB179)) | (~(v124(constB179, 2) | (~v124(constB179, 0)) | (~v124(constB179, 1)))))),
% 16.60/11.80 inference(rewrite,[status(thm)],[])).
% 16.60/11.80 tff(24453,plain,
% 16.60/11.80 (((~v115(constB179)) | (~(v124(constB179, 2) | (~v124(constB179, 1)) | (~v124(constB179, 0))))) <=> ((~v115(constB179)) | (~(v124(constB179, 2) | (~v124(constB179, 0)) | (~v124(constB179, 1)))))),
% 16.60/11.80 inference(rewrite,[status(thm)],[])).
% 16.60/11.80 tff(24454,plain,
% 16.60/11.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB179)) | (~(v124(constB179, 2) | (~v124(constB179, 1)) | (~v124(constB179, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB179)) | (~(v124(constB179, 2) | (~v124(constB179, 0)) | (~v124(constB179, 1))))))),
% 16.60/11.80 inference(monotonicity,[status(thm)],[24453])).
% 16.60/11.80 tff(24455,plain,
% 16.60/11.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB179)) | (~(v124(constB179, 2) | (~v124(constB179, 1)) | (~v124(constB179, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB179)) | (~(v124(constB179, 2) | (~v124(constB179, 0)) | (~v124(constB179, 1)))))),
% 16.60/11.80 inference(transitivity,[status(thm)],[24454, 24452])).
% 16.60/11.80 tff(24456,plain,
% 16.60/11.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB179)) | (~(v124(constB179, 2) | (~v124(constB179, 1)) | (~v124(constB179, 0)))))),
% 16.60/11.80 inference(quant_inst,[status(thm)],[])).
% 16.60/11.80 tff(24457,plain,
% 16.60/11.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB179)) | (~(v124(constB179, 2) | (~v124(constB179, 0)) | (~v124(constB179, 1))))),
% 16.60/11.80 inference(modus_ponens,[status(thm)],[24456, 24455])).
% 16.60/11.80 tff(24458,plain,
% 16.60/11.80 ((~v115(constB179)) | (~(v124(constB179, 2) | (~v124(constB179, 0)) | (~v124(constB179, 1))))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24457, 3138])).
% 16.60/11.80 tff(24459,plain,
% 16.60/11.80 (~(v124(constB179, 2) | (~v124(constB179, 0)) | (~v124(constB179, 1)))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24458, 24451])).
% 16.60/11.80 tff(24460,plain,
% 16.60/11.80 ((v124(constB179, 2) | (~v124(constB179, 0)) | (~v124(constB179, 1))) | (~v124(constB179, 2))),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24461,plain,
% 16.60/11.80 (~v124(constB179, 2)),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24460, 24459])).
% 16.60/11.80 tff(24462,plain,
% 16.60/11.80 (((~v121(constB179, 2)) <=> v124(constB179, 2)) | (~v121(constB179, 2)) | v124(constB179, 2)),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24463,plain,
% 16.60/11.80 (~v121(constB179, 2)),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24462, 24461, 22439])).
% 16.60/11.80 tff(24464,plain,
% 16.60/11.80 (((~v123(constB180, 2)) <=> v121(constB179, 2)) | (~v123(constB180, 2)) | v121(constB179, 2)),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24465,plain,
% 16.60/11.80 (~v123(constB180, 2)),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24464, 24463, 22425])).
% 16.60/11.80 tff(24466,plain,
% 16.60/11.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB179, constB180)) | (v94(constB180) <=> (~((~v95(constB180)) | (~v104(constB180))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB179, constB180)) | (v94(constB180) <=> (~((~v95(constB180)) | (~v104(constB180))))))),
% 16.60/11.80 inference(rewrite,[status(thm)],[])).
% 16.60/11.80 tff(24467,plain,
% 16.60/11.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB179, constB180)) | (v94(constB180) <=> (~((~v95(constB180)) | (~v104(constB180))))))),
% 16.60/11.80 inference(quant_inst,[status(thm)],[])).
% 16.60/11.80 tff(24468,plain,
% 16.60/11.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB179, constB180)) | (v94(constB180) <=> (~((~v95(constB180)) | (~v104(constB180)))))),
% 16.60/11.80 inference(modus_ponens,[status(thm)],[24467, 24466])).
% 16.60/11.80 tff(24469,plain,
% 16.60/11.80 (v94(constB180) <=> (~((~v95(constB180)) | (~v104(constB180))))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24468, 22419, 770])).
% 16.60/11.80 tff(24470,plain,
% 16.60/11.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180))))))),
% 16.60/11.80 inference(rewrite,[status(thm)],[])).
% 16.60/11.80 tff(24471,plain,
% 16.60/11.80 (((~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v96(constB180)) | (~v1(constB180)))))) <=> ((~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180))))))),
% 16.60/11.80 inference(rewrite,[status(thm)],[])).
% 16.60/11.80 tff(24472,plain,
% 16.60/11.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v96(constB180)) | (~v1(constB180))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180)))))))),
% 16.60/11.80 inference(monotonicity,[status(thm)],[24471])).
% 16.60/11.80 tff(24473,plain,
% 16.60/11.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v96(constB180)) | (~v1(constB180))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180))))))),
% 16.60/11.80 inference(transitivity,[status(thm)],[24472, 24470])).
% 16.60/11.80 tff(24474,plain,
% 16.60/11.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v96(constB180)) | (~v1(constB180))))))),
% 16.60/11.80 inference(quant_inst,[status(thm)],[])).
% 16.60/11.80 tff(24475,plain,
% 16.60/11.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180)))))),
% 16.60/11.80 inference(modus_ponens,[status(thm)],[24474, 24473])).
% 16.60/11.80 tff(24476,plain,
% 16.60/11.80 (v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180))))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24475, 22419, 790])).
% 16.60/11.80 tff(24477,plain,
% 16.60/11.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB179, constB180)) | ((~v96(constB180)) <=> v98(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB179, constB180)) | ((~v96(constB180)) <=> v98(constB180)))),
% 16.60/11.80 inference(rewrite,[status(thm)],[])).
% 16.60/11.80 tff(24478,plain,
% 16.60/11.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB179, constB180)) | ((~v96(constB180)) <=> v98(constB180)))),
% 16.60/11.80 inference(quant_inst,[status(thm)],[])).
% 16.60/11.80 tff(24479,plain,
% 16.60/11.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB179, constB180)) | ((~v96(constB180)) <=> v98(constB180))),
% 16.60/11.80 inference(modus_ponens,[status(thm)],[24478, 24477])).
% 16.60/11.80 tff(24480,plain,
% 16.60/11.80 ((~v96(constB180)) <=> v98(constB180)),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24479, 22419, 2332])).
% 16.60/11.80 tff(24481,plain,
% 16.60/11.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB179, constB180)) | (v98(constB180) <=> v1(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB179, constB180)) | (v98(constB180) <=> v1(constB179)))),
% 16.60/11.80 inference(rewrite,[status(thm)],[])).
% 16.60/11.80 tff(24482,plain,
% 16.60/11.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB179, constB180)) | (v98(constB180) <=> v1(constB179)))),
% 16.60/11.80 inference(quant_inst,[status(thm)],[])).
% 16.60/11.80 tff(24483,plain,
% 16.60/11.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB179, constB180)) | (v98(constB180) <=> v1(constB179))),
% 16.60/11.80 inference(modus_ponens,[status(thm)],[24482, 24481])).
% 16.60/11.80 tff(24484,plain,
% 16.60/11.80 (v98(constB180) <=> v1(constB179)),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24483, 22419, 2346])).
% 16.60/11.80 tff(24485,plain,
% 16.60/11.80 ((~(v98(constB180) <=> v1(constB179))) | (~v98(constB180)) | v1(constB179)),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24486,plain,
% 16.60/11.80 ((~(v98(constB180) <=> v1(constB179))) | (~v98(constB180))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24485, 22463])).
% 16.60/11.80 tff(24487,plain,
% 16.60/11.80 (~v98(constB180)),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24486, 24484])).
% 16.60/11.80 tff(24488,plain,
% 16.60/11.80 ((~((~v96(constB180)) <=> v98(constB180))) | v96(constB180) | v98(constB180)),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24489,plain,
% 16.60/11.80 (v96(constB180)),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24488, 24487, 24480])).
% 16.60/11.80 tff(24490,plain,
% 16.60/11.80 (v1(constB180) <=> v1(constB180)),
% 16.60/11.80 inference(rewrite,[status(thm)],[])).
% 16.60/11.80 tff(24491,axiom,(v1(constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_180')).
% 16.60/11.80 tff(24492,plain,
% 16.60/11.80 (v1(constB180)),
% 16.60/11.80 inference(modus_ponens,[status(thm)],[24491, 24490])).
% 16.60/11.80 tff(24493,plain,
% 16.60/11.80 ((~((~v1(constB180)) | (~v96(constB180)))) | (~v1(constB180)) | (~v96(constB180))),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24494,plain,
% 16.60/11.80 ((~((~v1(constB180)) | (~v96(constB180)))) | (~v96(constB180))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24493, 24492])).
% 16.60/11.80 tff(24495,plain,
% 16.60/11.80 (~((~v1(constB180)) | (~v96(constB180)))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24494, 24489])).
% 16.60/11.80 tff(24496,plain,
% 16.60/11.80 ((~(v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180)))))) | v95(constB180) | ((~v1(constB180)) | (~v96(constB180)))),
% 16.60/11.80 inference(tautology,[status(thm)],[])).
% 16.60/11.80 tff(24497,plain,
% 16.60/11.80 (v95(constB180)),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24496, 24495, 24476])).
% 16.60/11.80 tff(24498,plain,
% 16.60/11.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB179, constB180)) | (v104(constB180) <=> v102(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB179, constB180)) | (v104(constB180) <=> v102(constB179)))),
% 16.60/11.80 inference(rewrite,[status(thm)],[])).
% 16.60/11.80 tff(24499,plain,
% 16.60/11.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB179, constB180)) | (v104(constB180) <=> v102(constB179)))),
% 16.60/11.80 inference(quant_inst,[status(thm)],[])).
% 16.60/11.80 tff(24500,plain,
% 16.60/11.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB179, constB180)) | (v104(constB180) <=> v102(constB179))),
% 16.60/11.80 inference(modus_ponens,[status(thm)],[24499, 24498])).
% 16.60/11.80 tff(24501,plain,
% 16.60/11.80 (v104(constB180) <=> v102(constB179)),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24500, 22419, 2373])).
% 16.60/11.80 tff(24502,plain,
% 16.60/11.80 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB179) <=> (v105(constB179) | v106(constB179)))),
% 16.60/11.80 inference(quant_inst,[status(thm)],[])).
% 16.60/11.80 tff(24503,plain,
% 16.60/11.80 (v102(constB179) <=> (v105(constB179) | v106(constB179))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24502, 2384])).
% 16.60/11.80 tff(24504,plain,
% 16.60/11.80 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB179) <=> (~((~v107(constB179)) | (~v120(constB179)))))),
% 16.60/11.80 inference(quant_inst,[status(thm)],[])).
% 16.60/11.80 tff(24505,plain,
% 16.60/11.80 (v106(constB179) <=> (~((~v107(constB179)) | (~v120(constB179))))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24504, 2396])).
% 16.60/11.80 tff(24506,plain,
% 16.60/11.80 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB179) <=> (v108(constB179) | v119(constB179)))),
% 16.60/11.80 inference(quant_inst,[status(thm)],[])).
% 16.60/11.80 tff(24507,plain,
% 16.60/11.80 (v107(constB179) <=> (v108(constB179) | v119(constB179))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24506, 2405])).
% 16.60/11.80 tff(24508,plain,
% 16.60/11.80 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB179) <=> (v109(constB179) | v118(constB179)))),
% 16.60/11.80 inference(quant_inst,[status(thm)],[])).
% 16.60/11.80 tff(24509,plain,
% 16.60/11.80 (v108(constB179) <=> (v109(constB179) | v118(constB179))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24508, 2414])).
% 16.60/11.80 tff(24510,plain,
% 16.60/11.80 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB179) <=> (v110(constB179) | v117(constB179)))),
% 16.60/11.80 inference(quant_inst,[status(thm)],[])).
% 16.60/11.80 tff(24511,plain,
% 16.60/11.80 (v109(constB179) <=> (v110(constB179) | v117(constB179))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24510, 2423])).
% 16.60/11.80 tff(24512,plain,
% 16.60/11.80 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB179) <=> (v111(constB179) | v116(constB179)))),
% 16.60/11.80 inference(quant_inst,[status(thm)],[])).
% 16.60/11.80 tff(24513,plain,
% 16.60/11.80 (v110(constB179) <=> (v111(constB179) | v116(constB179))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24512, 2432])).
% 16.60/11.80 tff(24514,plain,
% 16.60/11.80 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB179) <=> (v112(constB179) | v115(constB179)))),
% 16.60/11.80 inference(quant_inst,[status(thm)],[])).
% 16.60/11.80 tff(24515,plain,
% 16.60/11.80 (v111(constB179) <=> (v112(constB179) | v115(constB179))),
% 16.60/11.80 inference(unit_resolution,[status(thm)],[24514, 2441])).
% 16.60/11.80 tff(24516,plain,
% 16.60/11.80 ((v112(constB179) | v115(constB179)) | (~v115(constB179))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24517,plain,
% 16.60/11.81 (v112(constB179) | v115(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24516, 24451])).
% 16.60/11.81 tff(24518,plain,
% 16.60/11.81 ((~(v111(constB179) <=> (v112(constB179) | v115(constB179)))) | v111(constB179) | (~(v112(constB179) | v115(constB179)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24519,plain,
% 16.60/11.81 (v111(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24518, 24517, 24515])).
% 16.60/11.81 tff(24520,plain,
% 16.60/11.81 ((v111(constB179) | v116(constB179)) | (~v111(constB179))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24521,plain,
% 16.60/11.81 (v111(constB179) | v116(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24520, 24519])).
% 16.60/11.81 tff(24522,plain,
% 16.60/11.81 ((~(v110(constB179) <=> (v111(constB179) | v116(constB179)))) | v110(constB179) | (~(v111(constB179) | v116(constB179)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24523,plain,
% 16.60/11.81 (v110(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24522, 24521, 24513])).
% 16.60/11.81 tff(24524,plain,
% 16.60/11.81 ((v110(constB179) | v117(constB179)) | (~v110(constB179))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24525,plain,
% 16.60/11.81 (v110(constB179) | v117(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24524, 24523])).
% 16.60/11.81 tff(24526,plain,
% 16.60/11.81 ((~(v109(constB179) <=> (v110(constB179) | v117(constB179)))) | v109(constB179) | (~(v110(constB179) | v117(constB179)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24527,plain,
% 16.60/11.81 (v109(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24526, 24525, 24511])).
% 16.60/11.81 tff(24528,plain,
% 16.60/11.81 ((v109(constB179) | v118(constB179)) | (~v109(constB179))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24529,plain,
% 16.60/11.81 (v109(constB179) | v118(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24528, 24527])).
% 16.60/11.81 tff(24530,plain,
% 16.60/11.81 ((~(v108(constB179) <=> (v109(constB179) | v118(constB179)))) | v108(constB179) | (~(v109(constB179) | v118(constB179)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24531,plain,
% 16.60/11.81 (v108(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24530, 24529, 24509])).
% 16.60/11.81 tff(24532,plain,
% 16.60/11.81 ((v108(constB179) | v119(constB179)) | (~v108(constB179))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24533,plain,
% 16.60/11.81 (v108(constB179) | v119(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24532, 24531])).
% 16.60/11.81 tff(24534,plain,
% 16.60/11.81 ((~(v107(constB179) <=> (v108(constB179) | v119(constB179)))) | v107(constB179) | (~(v108(constB179) | v119(constB179)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24535,plain,
% 16.60/11.81 (v107(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24534, 24533, 24507])).
% 16.60/11.81 tff(24536,plain,
% 16.60/11.81 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB179)) <=> v105(constB179))),
% 16.60/11.81 inference(quant_inst,[status(thm)],[])).
% 16.60/11.81 tff(24537,plain,
% 16.60/11.81 ((~v120(constB179)) <=> v105(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24536, 2484])).
% 16.60/11.81 tff(24538,plain,
% 16.60/11.81 ((~((~v120(constB179)) <=> v105(constB179))) | v120(constB179) | v105(constB179)),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24539,plain,
% 16.60/11.81 ((~((~v120(constB179)) <=> v105(constB179))) | v120(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24538, 22432])).
% 16.60/11.81 tff(24540,plain,
% 16.60/11.81 (v120(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24539, 24537])).
% 16.60/11.81 tff(24541,plain,
% 16.60/11.81 ((~((~v107(constB179)) | (~v120(constB179)))) | (~v107(constB179)) | (~v120(constB179))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24542,plain,
% 16.60/11.81 ((~((~v107(constB179)) | (~v120(constB179)))) | (~v107(constB179))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24541, 24540])).
% 16.60/11.81 tff(24543,plain,
% 16.60/11.81 (~((~v107(constB179)) | (~v120(constB179)))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24542, 24535])).
% 16.60/11.81 tff(24544,plain,
% 16.60/11.81 ((~(v106(constB179) <=> (~((~v107(constB179)) | (~v120(constB179)))))) | v106(constB179) | ((~v107(constB179)) | (~v120(constB179)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24545,plain,
% 16.60/11.81 (v106(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24544, 24543, 24505])).
% 16.60/11.81 tff(24546,plain,
% 16.60/11.81 ((v105(constB179) | v106(constB179)) | (~v106(constB179))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24547,plain,
% 16.60/11.81 (v105(constB179) | v106(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24546, 24545])).
% 16.60/11.81 tff(24548,plain,
% 16.60/11.81 ((~(v102(constB179) <=> (v105(constB179) | v106(constB179)))) | v102(constB179) | (~(v105(constB179) | v106(constB179)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24549,plain,
% 16.60/11.81 (v102(constB179)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24548, 24547, 24503])).
% 16.60/11.81 tff(24550,plain,
% 16.60/11.81 ((~(v104(constB180) <=> v102(constB179))) | v104(constB180) | (~v102(constB179))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24551,plain,
% 16.60/11.81 (v104(constB180)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24550, 24549, 24501])).
% 16.60/11.81 tff(24552,plain,
% 16.60/11.81 ((~((~v95(constB180)) | (~v104(constB180)))) | (~v95(constB180)) | (~v104(constB180))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24553,plain,
% 16.60/11.81 (~((~v95(constB180)) | (~v104(constB180)))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24552, 24551, 24497])).
% 16.60/11.81 tff(24554,plain,
% 16.60/11.81 ((~(v94(constB180) <=> (~((~v95(constB180)) | (~v104(constB180)))))) | v94(constB180) | ((~v95(constB180)) | (~v104(constB180)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24555,plain,
% 16.60/11.81 (v94(constB180)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24554, 24553, 24469])).
% 16.60/11.81 tff(24556,plain,
% 16.60/11.81 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB180)) | (~(((~v84(constB180, 2)) <=> v123(constB180, 2)) | ((~v84(constB180, 1)) <=> v123(constB180, 1)) | ((~v84(constB180, 0)) <=> v123(constB180, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB180)) | (~(((~v84(constB180, 2)) <=> v123(constB180, 2)) | ((~v84(constB180, 1)) <=> v123(constB180, 1)) | ((~v84(constB180, 0)) <=> v123(constB180, 0)))))),
% 16.60/11.81 inference(rewrite,[status(thm)],[])).
% 16.60/11.81 tff(24557,plain,
% 16.60/11.81 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB180)) | (~(((~v84(constB180, 2)) <=> v123(constB180, 2)) | ((~v84(constB180, 1)) <=> v123(constB180, 1)) | ((~v84(constB180, 0)) <=> v123(constB180, 0)))))),
% 16.60/11.81 inference(quant_inst,[status(thm)],[])).
% 16.60/11.81 tff(24558,plain,
% 16.60/11.81 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB180)) | (~(((~v84(constB180, 2)) <=> v123(constB180, 2)) | ((~v84(constB180, 1)) <=> v123(constB180, 1)) | ((~v84(constB180, 0)) <=> v123(constB180, 0))))),
% 16.60/11.81 inference(modus_ponens,[status(thm)],[24557, 24556])).
% 16.60/11.81 tff(24559,plain,
% 16.60/11.81 ((~v94(constB180)) | (~(((~v84(constB180, 2)) <=> v123(constB180, 2)) | ((~v84(constB180, 1)) <=> v123(constB180, 1)) | ((~v84(constB180, 0)) <=> v123(constB180, 0))))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24558, 2517])).
% 16.60/11.81 tff(24560,plain,
% 16.60/11.81 (~(((~v84(constB180, 2)) <=> v123(constB180, 2)) | ((~v84(constB180, 1)) <=> v123(constB180, 1)) | ((~v84(constB180, 0)) <=> v123(constB180, 0)))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24559, 24555])).
% 16.60/11.81 tff(24561,plain,
% 16.60/11.81 ((((~v84(constB180, 2)) <=> v123(constB180, 2)) | ((~v84(constB180, 1)) <=> v123(constB180, 1)) | ((~v84(constB180, 0)) <=> v123(constB180, 0))) | (~((~v84(constB180, 2)) <=> v123(constB180, 2)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24562,plain,
% 16.60/11.81 (~((~v84(constB180, 2)) <=> v123(constB180, 2))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24561, 24560])).
% 16.60/11.81 tff(24563,plain,
% 16.60/11.81 (((~v84(constB180, 2)) <=> v123(constB180, 2)) | (~v84(constB180, 2)) | v123(constB180, 2)),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24564,plain,
% 16.60/11.81 (~v84(constB180, 2)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24563, 24562, 24465])).
% 16.60/11.81 tff(24565,plain,
% 16.60/11.81 (((~v84(constB181, 2)) <=> v84(constB180, 2)) | (~v84(constB181, 2)) | v84(constB180, 2)),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24566,plain,
% 16.60/11.81 (~v84(constB181, 2)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24565, 24564, 22416])).
% 16.60/11.81 tff(24567,plain,
% 16.60/11.81 ((((~v84(constB181, 1)) <=> v84(constB180, 1)) | ((~v84(constB181, 2)) <=> v84(constB180, 2)) | ((~v84(constB181, 0)) <=> v84(constB180, 0))) | (~((~v84(constB181, 0)) <=> v84(constB180, 0)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24568,plain,
% 16.60/11.81 (~((~v84(constB181, 0)) <=> v84(constB180, 0))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24567, 22414])).
% 16.60/11.81 tff(24569,plain,
% 16.60/11.81 ((((~v123(constB180, 2)) <=> v121(constB179, 2)) | ((~v123(constB180, 1)) <=> v121(constB179, 1)) | ((~v123(constB180, 0)) <=> v121(constB179, 0))) | (~((~v123(constB180, 0)) <=> v121(constB179, 0)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24570,plain,
% 16.60/11.81 (~((~v123(constB180, 0)) <=> v121(constB179, 0))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24569, 22423])).
% 16.60/11.81 tff(24571,plain,
% 16.60/11.81 ((((~v121(constB179, 2)) <=> v124(constB179, 2)) | ((~v121(constB179, 0)) <=> v124(constB179, 0)) | ((~v121(constB179, 1)) <=> v124(constB179, 1))) | (~((~v121(constB179, 0)) <=> v124(constB179, 0)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24572,plain,
% 16.60/11.81 (~((~v121(constB179, 0)) <=> v124(constB179, 0))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24571, 22437])).
% 16.60/11.81 tff(24573,plain,
% 16.60/11.81 ((v124(constB179, 2) | (~v124(constB179, 0)) | (~v124(constB179, 1))) | v124(constB179, 0)),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24574,plain,
% 16.60/11.81 (v124(constB179, 0)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24573, 24459])).
% 16.60/11.81 tff(24575,plain,
% 16.60/11.81 (((~v121(constB179, 0)) <=> v124(constB179, 0)) | v121(constB179, 0) | (~v124(constB179, 0))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24576,plain,
% 16.60/11.81 (v121(constB179, 0)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24575, 24574, 24572])).
% 16.60/11.81 tff(24577,plain,
% 16.60/11.81 (((~v123(constB180, 0)) <=> v121(constB179, 0)) | v123(constB180, 0) | (~v121(constB179, 0))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24578,plain,
% 16.60/11.81 (v123(constB180, 0)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24577, 24576, 24570])).
% 16.60/11.81 tff(24579,plain,
% 16.60/11.81 ((((~v84(constB180, 2)) <=> v123(constB180, 2)) | ((~v84(constB180, 1)) <=> v123(constB180, 1)) | ((~v84(constB180, 0)) <=> v123(constB180, 0))) | (~((~v84(constB180, 0)) <=> v123(constB180, 0)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24580,plain,
% 16.60/11.81 (~((~v84(constB180, 0)) <=> v123(constB180, 0))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24579, 24560])).
% 16.60/11.81 tff(24581,plain,
% 16.60/11.81 (((~v84(constB180, 0)) <=> v123(constB180, 0)) | v84(constB180, 0) | (~v123(constB180, 0))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24582,plain,
% 16.60/11.81 (v84(constB180, 0)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24581, 24580, 24578])).
% 16.60/11.81 tff(24583,plain,
% 16.60/11.81 (((~v84(constB181, 0)) <=> v84(constB180, 0)) | v84(constB181, 0) | (~v84(constB180, 0))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24584,plain,
% 16.60/11.81 (v84(constB181, 0)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24583, 24582, 24568])).
% 16.60/11.81 tff(24585,plain,
% 16.60/11.81 ((((~v84(constB181, 1)) <=> v84(constB180, 1)) | ((~v84(constB181, 2)) <=> v84(constB180, 2)) | ((~v84(constB181, 0)) <=> v84(constB180, 0))) | (~((~v84(constB181, 1)) <=> v84(constB180, 1)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24586,plain,
% 16.60/11.81 (~((~v84(constB181, 1)) <=> v84(constB180, 1))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24585, 22414])).
% 16.60/11.81 tff(24587,plain,
% 16.60/11.81 ((((~v123(constB180, 2)) <=> v121(constB179, 2)) | ((~v123(constB180, 1)) <=> v121(constB179, 1)) | ((~v123(constB180, 0)) <=> v121(constB179, 0))) | (~((~v123(constB180, 1)) <=> v121(constB179, 1)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24588,plain,
% 16.60/11.81 (~((~v123(constB180, 1)) <=> v121(constB179, 1))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24587, 22423])).
% 16.60/11.81 tff(24589,plain,
% 16.60/11.81 ((((~v121(constB179, 2)) <=> v124(constB179, 2)) | ((~v121(constB179, 0)) <=> v124(constB179, 0)) | ((~v121(constB179, 1)) <=> v124(constB179, 1))) | (~((~v121(constB179, 1)) <=> v124(constB179, 1)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24590,plain,
% 16.60/11.81 (~((~v121(constB179, 1)) <=> v124(constB179, 1))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24589, 22437])).
% 16.60/11.81 tff(24591,plain,
% 16.60/11.81 ((v124(constB179, 2) | (~v124(constB179, 0)) | (~v124(constB179, 1))) | v124(constB179, 1)),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24592,plain,
% 16.60/11.81 (v124(constB179, 1)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24591, 24459])).
% 16.60/11.81 tff(24593,plain,
% 16.60/11.81 (((~v121(constB179, 1)) <=> v124(constB179, 1)) | v121(constB179, 1) | (~v124(constB179, 1))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24594,plain,
% 16.60/11.81 (v121(constB179, 1)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24593, 24592, 24590])).
% 16.60/11.81 tff(24595,plain,
% 16.60/11.81 (((~v123(constB180, 1)) <=> v121(constB179, 1)) | v123(constB180, 1) | (~v121(constB179, 1))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24596,plain,
% 16.60/11.81 (v123(constB180, 1)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24595, 24594, 24588])).
% 16.60/11.81 tff(24597,plain,
% 16.60/11.81 ((((~v84(constB180, 2)) <=> v123(constB180, 2)) | ((~v84(constB180, 1)) <=> v123(constB180, 1)) | ((~v84(constB180, 0)) <=> v123(constB180, 0))) | (~((~v84(constB180, 1)) <=> v123(constB180, 1)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24598,plain,
% 16.60/11.81 (~((~v84(constB180, 1)) <=> v123(constB180, 1))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24597, 24560])).
% 16.60/11.81 tff(24599,plain,
% 16.60/11.81 (((~v84(constB180, 1)) <=> v123(constB180, 1)) | v84(constB180, 1) | (~v123(constB180, 1))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24600,plain,
% 16.60/11.81 (v84(constB180, 1)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24599, 24598, 24596])).
% 16.60/11.81 tff(24601,plain,
% 16.60/11.81 (((~v84(constB181, 1)) <=> v84(constB180, 1)) | v84(constB181, 1) | (~v84(constB180, 1))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24602,plain,
% 16.60/11.81 (v84(constB181, 1)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24601, 24600, 24586])).
% 16.60/11.81 tff(24603,plain,
% 16.60/11.81 ((~(v84(constB181, 2) | (~v84(constB181, 1)) | (~v84(constB181, 0)))) | v84(constB181, 2) | (~v84(constB181, 1)) | (~v84(constB181, 0))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24604,plain,
% 16.60/11.81 (~(v84(constB181, 2) | (~v84(constB181, 1)) | (~v84(constB181, 0)))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24603, 24602, 24584, 24566])).
% 16.60/11.81 tff(24605,plain,
% 16.60/11.81 ((~(v116(constB181) <=> (~(v84(constB181, 2) | (~v84(constB181, 1)) | (~v84(constB181, 0)))))) | v116(constB181) | (v84(constB181, 2) | (~v84(constB181, 1)) | (~v84(constB181, 0)))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24606,plain,
% 16.60/11.81 (v116(constB181)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24605, 24604, 22380])).
% 16.60/11.81 tff(24607,plain,
% 16.60/11.81 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB181)) | (~(v124(constB181, 0) | v124(constB181, 1) | (~v124(constB181, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB181)) | (~(v124(constB181, 0) | v124(constB181, 1) | (~v124(constB181, 2)))))),
% 16.60/11.81 inference(rewrite,[status(thm)],[])).
% 16.60/11.81 tff(24608,plain,
% 16.60/11.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB181)) | (~(v124(constB181, 0) | v124(constB181, 1) | (~v124(constB181, 2)))))),
% 16.60/11.81 inference(quant_inst,[status(thm)],[])).
% 16.60/11.81 tff(24609,plain,
% 16.60/11.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB181)) | (~(v124(constB181, 0) | v124(constB181, 1) | (~v124(constB181, 2))))),
% 16.60/11.81 inference(modus_ponens,[status(thm)],[24608, 24607])).
% 16.60/11.81 tff(24610,plain,
% 16.60/11.81 ((~v116(constB181)) | (~(v124(constB181, 0) | v124(constB181, 1) | (~v124(constB181, 2))))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24609, 3309])).
% 16.60/11.81 tff(24611,plain,
% 16.60/11.81 (~(v124(constB181, 0) | v124(constB181, 1) | (~v124(constB181, 2)))),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24610, 24606])).
% 16.60/11.81 tff(24612,plain,
% 16.60/11.81 ((v124(constB181, 0) | v124(constB181, 1) | (~v124(constB181, 2))) | (~v124(constB181, 0))),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24613,plain,
% 16.60/11.81 (~v124(constB181, 0)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24612, 24611])).
% 16.60/11.81 tff(24614,plain,
% 16.60/11.81 (((~v121(constB181, 0)) <=> v124(constB181, 0)) | (~v121(constB181, 0)) | v124(constB181, 0)),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24615,plain,
% 16.60/11.81 (~v121(constB181, 0)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24614, 24613, 22378])).
% 16.60/11.81 tff(24616,plain,
% 16.60/11.81 (((~v123(constB182, 0)) <=> v121(constB181, 0)) | (~v123(constB182, 0)) | v121(constB181, 0)),
% 16.60/11.81 inference(tautology,[status(thm)],[])).
% 16.60/11.81 tff(24617,plain,
% 16.60/11.81 (~v123(constB182, 0)),
% 16.60/11.81 inference(unit_resolution,[status(thm)],[24616, 24615, 22364])).
% 16.60/11.81 tff(24618,plain,
% 16.60/11.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB181, constB182)) | (v94(constB182) <=> (~((~v95(constB182)) | (~v104(constB182))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB181, constB182)) | (v94(constB182) <=> (~((~v95(constB182)) | (~v104(constB182))))))),
% 16.60/11.81 inference(rewrite,[status(thm)],[])).
% 16.60/11.81 tff(24619,plain,
% 16.60/11.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB181, constB182)) | (v94(constB182) <=> (~((~v95(constB182)) | (~v104(constB182))))))),
% 16.60/11.81 inference(quant_inst,[status(thm)],[])).
% 16.60/11.81 tff(24620,plain,
% 16.60/11.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB181, constB182)) | (v94(constB182) <=> (~((~v95(constB182)) | (~v104(constB182)))))),
% 16.60/11.82 inference(modus_ponens,[status(thm)],[24619, 24618])).
% 16.60/11.82 tff(24621,plain,
% 16.60/11.82 (v94(constB182) <=> (~((~v95(constB182)) | (~v104(constB182))))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24620, 22358, 770])).
% 16.60/11.82 tff(24622,plain,
% 16.60/11.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182))))))),
% 16.60/11.82 inference(rewrite,[status(thm)],[])).
% 16.60/11.82 tff(24623,plain,
% 16.60/11.82 (((~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v96(constB182)) | (~v1(constB182)))))) <=> ((~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182))))))),
% 16.60/11.82 inference(rewrite,[status(thm)],[])).
% 16.60/11.82 tff(24624,plain,
% 16.60/11.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v96(constB182)) | (~v1(constB182))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182)))))))),
% 16.60/11.82 inference(monotonicity,[status(thm)],[24623])).
% 16.60/11.82 tff(24625,plain,
% 16.60/11.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v96(constB182)) | (~v1(constB182))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182))))))),
% 16.60/11.82 inference(transitivity,[status(thm)],[24624, 24622])).
% 16.60/11.82 tff(24626,plain,
% 16.60/11.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v96(constB182)) | (~v1(constB182))))))),
% 16.60/11.82 inference(quant_inst,[status(thm)],[])).
% 16.60/11.82 tff(24627,plain,
% 16.60/11.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182)))))),
% 16.60/11.82 inference(modus_ponens,[status(thm)],[24626, 24625])).
% 16.60/11.82 tff(24628,plain,
% 16.60/11.82 (v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182))))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24627, 22358, 790])).
% 16.60/11.82 tff(24629,plain,
% 16.60/11.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB181, constB182)) | ((~v96(constB182)) <=> v98(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB181, constB182)) | ((~v96(constB182)) <=> v98(constB182)))),
% 16.60/11.82 inference(rewrite,[status(thm)],[])).
% 16.60/11.82 tff(24630,plain,
% 16.60/11.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB181, constB182)) | ((~v96(constB182)) <=> v98(constB182)))),
% 16.60/11.82 inference(quant_inst,[status(thm)],[])).
% 16.60/11.82 tff(24631,plain,
% 16.60/11.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB181, constB182)) | ((~v96(constB182)) <=> v98(constB182))),
% 16.60/11.82 inference(modus_ponens,[status(thm)],[24630, 24629])).
% 16.60/11.82 tff(24632,plain,
% 16.60/11.82 ((~v96(constB182)) <=> v98(constB182)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24631, 22358, 2332])).
% 16.60/11.82 tff(24633,plain,
% 16.60/11.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB181, constB182)) | (v98(constB182) <=> v1(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB181, constB182)) | (v98(constB182) <=> v1(constB181)))),
% 16.60/11.82 inference(rewrite,[status(thm)],[])).
% 16.60/11.82 tff(24634,plain,
% 16.60/11.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB181, constB182)) | (v98(constB182) <=> v1(constB181)))),
% 16.60/11.82 inference(quant_inst,[status(thm)],[])).
% 16.60/11.82 tff(24635,plain,
% 16.60/11.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB181, constB182)) | (v98(constB182) <=> v1(constB181))),
% 16.60/11.82 inference(modus_ponens,[status(thm)],[24634, 24633])).
% 16.60/11.82 tff(24636,plain,
% 16.60/11.82 (v98(constB182) <=> v1(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24635, 22358, 2346])).
% 16.60/11.82 tff(24637,plain,
% 16.60/11.82 ((~(v98(constB182) <=> v1(constB181))) | (~v98(constB182)) | v1(constB181)),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24638,plain,
% 16.60/11.82 ((~(v98(constB182) <=> v1(constB181))) | (~v98(constB182))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24637, 22397])).
% 16.60/11.82 tff(24639,plain,
% 16.60/11.82 (~v98(constB182)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24638, 24636])).
% 16.60/11.82 tff(24640,plain,
% 16.60/11.82 ((~((~v96(constB182)) <=> v98(constB182))) | v96(constB182) | v98(constB182)),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24641,plain,
% 16.60/11.82 (v96(constB182)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24640, 24639, 24632])).
% 16.60/11.82 tff(24642,plain,
% 16.60/11.82 (v1(constB182) <=> v1(constB182)),
% 16.60/11.82 inference(rewrite,[status(thm)],[])).
% 16.60/11.82 tff(24643,axiom,(v1(constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_182')).
% 16.60/11.82 tff(24644,plain,
% 16.60/11.82 (v1(constB182)),
% 16.60/11.82 inference(modus_ponens,[status(thm)],[24643, 24642])).
% 16.60/11.82 tff(24645,plain,
% 16.60/11.82 ((~((~v1(constB182)) | (~v96(constB182)))) | (~v1(constB182)) | (~v96(constB182))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24646,plain,
% 16.60/11.82 ((~((~v1(constB182)) | (~v96(constB182)))) | (~v96(constB182))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24645, 24644])).
% 16.60/11.82 tff(24647,plain,
% 16.60/11.82 (~((~v1(constB182)) | (~v96(constB182)))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24646, 24641])).
% 16.60/11.82 tff(24648,plain,
% 16.60/11.82 ((~(v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182)))))) | v95(constB182) | ((~v1(constB182)) | (~v96(constB182)))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24649,plain,
% 16.60/11.82 (v95(constB182)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24648, 24647, 24628])).
% 16.60/11.82 tff(24650,plain,
% 16.60/11.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB181, constB182)) | (v104(constB182) <=> v102(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB181, constB182)) | (v104(constB182) <=> v102(constB181)))),
% 16.60/11.82 inference(rewrite,[status(thm)],[])).
% 16.60/11.82 tff(24651,plain,
% 16.60/11.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB181, constB182)) | (v104(constB182) <=> v102(constB181)))),
% 16.60/11.82 inference(quant_inst,[status(thm)],[])).
% 16.60/11.82 tff(24652,plain,
% 16.60/11.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB181, constB182)) | (v104(constB182) <=> v102(constB181))),
% 16.60/11.82 inference(modus_ponens,[status(thm)],[24651, 24650])).
% 16.60/11.82 tff(24653,plain,
% 16.60/11.82 (v104(constB182) <=> v102(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24652, 22358, 2373])).
% 16.60/11.82 tff(24654,plain,
% 16.60/11.82 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB181) <=> (v105(constB181) | v106(constB181)))),
% 16.60/11.82 inference(quant_inst,[status(thm)],[])).
% 16.60/11.82 tff(24655,plain,
% 16.60/11.82 (v102(constB181) <=> (v105(constB181) | v106(constB181))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24654, 2384])).
% 16.60/11.82 tff(24656,plain,
% 16.60/11.82 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB181) <=> (~((~v107(constB181)) | (~v120(constB181)))))),
% 16.60/11.82 inference(quant_inst,[status(thm)],[])).
% 16.60/11.82 tff(24657,plain,
% 16.60/11.82 (v106(constB181) <=> (~((~v107(constB181)) | (~v120(constB181))))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24656, 2396])).
% 16.60/11.82 tff(24658,plain,
% 16.60/11.82 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB181) <=> (v108(constB181) | v119(constB181)))),
% 16.60/11.82 inference(quant_inst,[status(thm)],[])).
% 16.60/11.82 tff(24659,plain,
% 16.60/11.82 (v107(constB181) <=> (v108(constB181) | v119(constB181))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24658, 2405])).
% 16.60/11.82 tff(24660,plain,
% 16.60/11.82 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB181) <=> (v109(constB181) | v118(constB181)))),
% 16.60/11.82 inference(quant_inst,[status(thm)],[])).
% 16.60/11.82 tff(24661,plain,
% 16.60/11.82 (v108(constB181) <=> (v109(constB181) | v118(constB181))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24660, 2414])).
% 16.60/11.82 tff(24662,plain,
% 16.60/11.82 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB181) <=> (v110(constB181) | v117(constB181)))),
% 16.60/11.82 inference(quant_inst,[status(thm)],[])).
% 16.60/11.82 tff(24663,plain,
% 16.60/11.82 (v109(constB181) <=> (v110(constB181) | v117(constB181))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24662, 2423])).
% 16.60/11.82 tff(24664,plain,
% 16.60/11.82 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB181) <=> (v111(constB181) | v116(constB181)))),
% 16.60/11.82 inference(quant_inst,[status(thm)],[])).
% 16.60/11.82 tff(24665,plain,
% 16.60/11.82 (v110(constB181) <=> (v111(constB181) | v116(constB181))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24664, 2432])).
% 16.60/11.82 tff(24666,plain,
% 16.60/11.82 ((v111(constB181) | v116(constB181)) | (~v116(constB181))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24667,plain,
% 16.60/11.82 (v111(constB181) | v116(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24666, 24606])).
% 16.60/11.82 tff(24668,plain,
% 16.60/11.82 ((~(v110(constB181) <=> (v111(constB181) | v116(constB181)))) | v110(constB181) | (~(v111(constB181) | v116(constB181)))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24669,plain,
% 16.60/11.82 (v110(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24668, 24667, 24665])).
% 16.60/11.82 tff(24670,plain,
% 16.60/11.82 ((v110(constB181) | v117(constB181)) | (~v110(constB181))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24671,plain,
% 16.60/11.82 (v110(constB181) | v117(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24670, 24669])).
% 16.60/11.82 tff(24672,plain,
% 16.60/11.82 ((~(v109(constB181) <=> (v110(constB181) | v117(constB181)))) | v109(constB181) | (~(v110(constB181) | v117(constB181)))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24673,plain,
% 16.60/11.82 (v109(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24672, 24671, 24663])).
% 16.60/11.82 tff(24674,plain,
% 16.60/11.82 ((v109(constB181) | v118(constB181)) | (~v109(constB181))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24675,plain,
% 16.60/11.82 (v109(constB181) | v118(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24674, 24673])).
% 16.60/11.82 tff(24676,plain,
% 16.60/11.82 ((~(v108(constB181) <=> (v109(constB181) | v118(constB181)))) | v108(constB181) | (~(v109(constB181) | v118(constB181)))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24677,plain,
% 16.60/11.82 (v108(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24676, 24675, 24661])).
% 16.60/11.82 tff(24678,plain,
% 16.60/11.82 ((v108(constB181) | v119(constB181)) | (~v108(constB181))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24679,plain,
% 16.60/11.82 (v108(constB181) | v119(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24678, 24677])).
% 16.60/11.82 tff(24680,plain,
% 16.60/11.82 ((~(v107(constB181) <=> (v108(constB181) | v119(constB181)))) | v107(constB181) | (~(v108(constB181) | v119(constB181)))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24681,plain,
% 16.60/11.82 (v107(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24680, 24679, 24659])).
% 16.60/11.82 tff(24682,plain,
% 16.60/11.82 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB181)) <=> v105(constB181))),
% 16.60/11.82 inference(quant_inst,[status(thm)],[])).
% 16.60/11.82 tff(24683,plain,
% 16.60/11.82 ((~v120(constB181)) <=> v105(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24682, 2484])).
% 16.60/11.82 tff(24684,plain,
% 16.60/11.82 ((~((~v120(constB181)) <=> v105(constB181))) | v120(constB181) | v105(constB181)),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24685,plain,
% 16.60/11.82 ((~((~v120(constB181)) <=> v105(constB181))) | v120(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24684, 22371])).
% 16.60/11.82 tff(24686,plain,
% 16.60/11.82 (v120(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24685, 24683])).
% 16.60/11.82 tff(24687,plain,
% 16.60/11.82 ((~((~v107(constB181)) | (~v120(constB181)))) | (~v107(constB181)) | (~v120(constB181))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24688,plain,
% 16.60/11.82 ((~((~v107(constB181)) | (~v120(constB181)))) | (~v107(constB181))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24687, 24686])).
% 16.60/11.82 tff(24689,plain,
% 16.60/11.82 (~((~v107(constB181)) | (~v120(constB181)))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24688, 24681])).
% 16.60/11.82 tff(24690,plain,
% 16.60/11.82 ((~(v106(constB181) <=> (~((~v107(constB181)) | (~v120(constB181)))))) | v106(constB181) | ((~v107(constB181)) | (~v120(constB181)))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24691,plain,
% 16.60/11.82 (v106(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24690, 24689, 24657])).
% 16.60/11.82 tff(24692,plain,
% 16.60/11.82 ((v105(constB181) | v106(constB181)) | (~v106(constB181))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24693,plain,
% 16.60/11.82 (v105(constB181) | v106(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24692, 24691])).
% 16.60/11.82 tff(24694,plain,
% 16.60/11.82 ((~(v102(constB181) <=> (v105(constB181) | v106(constB181)))) | v102(constB181) | (~(v105(constB181) | v106(constB181)))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24695,plain,
% 16.60/11.82 (v102(constB181)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24694, 24693, 24655])).
% 16.60/11.82 tff(24696,plain,
% 16.60/11.82 ((~(v104(constB182) <=> v102(constB181))) | v104(constB182) | (~v102(constB181))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24697,plain,
% 16.60/11.82 (v104(constB182)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24696, 24695, 24653])).
% 16.60/11.82 tff(24698,plain,
% 16.60/11.82 ((~((~v95(constB182)) | (~v104(constB182)))) | (~v95(constB182)) | (~v104(constB182))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24699,plain,
% 16.60/11.82 (~((~v95(constB182)) | (~v104(constB182)))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24698, 24697, 24649])).
% 16.60/11.82 tff(24700,plain,
% 16.60/11.82 ((~(v94(constB182) <=> (~((~v95(constB182)) | (~v104(constB182)))))) | v94(constB182) | ((~v95(constB182)) | (~v104(constB182)))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24701,plain,
% 16.60/11.82 (v94(constB182)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24700, 24699, 24621])).
% 16.60/11.82 tff(24702,plain,
% 16.60/11.82 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB182)) | (~(((~v84(constB182, 0)) <=> v123(constB182, 0)) | ((~v84(constB182, 2)) <=> v123(constB182, 2)) | ((~v84(constB182, 1)) <=> v123(constB182, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB182)) | (~(((~v84(constB182, 0)) <=> v123(constB182, 0)) | ((~v84(constB182, 2)) <=> v123(constB182, 2)) | ((~v84(constB182, 1)) <=> v123(constB182, 1)))))),
% 16.60/11.82 inference(rewrite,[status(thm)],[])).
% 16.60/11.82 tff(24703,plain,
% 16.60/11.82 (((~v94(constB182)) | (~(((~v84(constB182, 2)) <=> v123(constB182, 2)) | ((~v84(constB182, 1)) <=> v123(constB182, 1)) | ((~v84(constB182, 0)) <=> v123(constB182, 0))))) <=> ((~v94(constB182)) | (~(((~v84(constB182, 0)) <=> v123(constB182, 0)) | ((~v84(constB182, 2)) <=> v123(constB182, 2)) | ((~v84(constB182, 1)) <=> v123(constB182, 1)))))),
% 16.60/11.82 inference(rewrite,[status(thm)],[])).
% 16.60/11.82 tff(24704,plain,
% 16.60/11.82 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB182)) | (~(((~v84(constB182, 2)) <=> v123(constB182, 2)) | ((~v84(constB182, 1)) <=> v123(constB182, 1)) | ((~v84(constB182, 0)) <=> v123(constB182, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB182)) | (~(((~v84(constB182, 0)) <=> v123(constB182, 0)) | ((~v84(constB182, 2)) <=> v123(constB182, 2)) | ((~v84(constB182, 1)) <=> v123(constB182, 1))))))),
% 16.60/11.82 inference(monotonicity,[status(thm)],[24703])).
% 16.60/11.82 tff(24705,plain,
% 16.60/11.82 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB182)) | (~(((~v84(constB182, 2)) <=> v123(constB182, 2)) | ((~v84(constB182, 1)) <=> v123(constB182, 1)) | ((~v84(constB182, 0)) <=> v123(constB182, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB182)) | (~(((~v84(constB182, 0)) <=> v123(constB182, 0)) | ((~v84(constB182, 2)) <=> v123(constB182, 2)) | ((~v84(constB182, 1)) <=> v123(constB182, 1)))))),
% 16.60/11.82 inference(transitivity,[status(thm)],[24704, 24702])).
% 16.60/11.82 tff(24706,plain,
% 16.60/11.82 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB182)) | (~(((~v84(constB182, 2)) <=> v123(constB182, 2)) | ((~v84(constB182, 1)) <=> v123(constB182, 1)) | ((~v84(constB182, 0)) <=> v123(constB182, 0)))))),
% 16.60/11.82 inference(quant_inst,[status(thm)],[])).
% 16.60/11.82 tff(24707,plain,
% 16.60/11.82 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB182)) | (~(((~v84(constB182, 0)) <=> v123(constB182, 0)) | ((~v84(constB182, 2)) <=> v123(constB182, 2)) | ((~v84(constB182, 1)) <=> v123(constB182, 1))))),
% 16.60/11.82 inference(modus_ponens,[status(thm)],[24706, 24705])).
% 16.60/11.82 tff(24708,plain,
% 16.60/11.82 ((~v94(constB182)) | (~(((~v84(constB182, 0)) <=> v123(constB182, 0)) | ((~v84(constB182, 2)) <=> v123(constB182, 2)) | ((~v84(constB182, 1)) <=> v123(constB182, 1))))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24707, 2517])).
% 16.60/11.82 tff(24709,plain,
% 16.60/11.82 (~(((~v84(constB182, 0)) <=> v123(constB182, 0)) | ((~v84(constB182, 2)) <=> v123(constB182, 2)) | ((~v84(constB182, 1)) <=> v123(constB182, 1)))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24708, 24701])).
% 16.60/11.82 tff(24710,plain,
% 16.60/11.82 ((((~v84(constB182, 0)) <=> v123(constB182, 0)) | ((~v84(constB182, 2)) <=> v123(constB182, 2)) | ((~v84(constB182, 1)) <=> v123(constB182, 1))) | (~((~v84(constB182, 0)) <=> v123(constB182, 0)))),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24711,plain,
% 16.60/11.82 (~((~v84(constB182, 0)) <=> v123(constB182, 0))),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24710, 24709])).
% 16.60/11.82 tff(24712,plain,
% 16.60/11.82 (((~v84(constB182, 0)) <=> v123(constB182, 0)) | (~v84(constB182, 0)) | v123(constB182, 0)),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24713,plain,
% 16.60/11.82 (~v84(constB182, 0)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24712, 24711, 24617])).
% 16.60/11.82 tff(24714,plain,
% 16.60/11.82 (((~v84(constB183, 0)) <=> v84(constB182, 0)) | (~v84(constB183, 0)) | v84(constB182, 0)),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24715,plain,
% 16.60/11.82 (~v84(constB183, 0)),
% 16.60/11.82 inference(unit_resolution,[status(thm)],[24714, 24713, 22355])).
% 16.60/11.82 tff(24716,plain,
% 16.60/11.82 ((v84(constB183, 1) | v84(constB183, 2) | (~v84(constB183, 0))) | v84(constB183, 0)),
% 16.60/11.82 inference(tautology,[status(thm)],[])).
% 16.60/11.82 tff(24717,plain,
% 16.60/11.83 (v84(constB183, 1) | v84(constB183, 2) | (~v84(constB183, 0))),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24716, 24715])).
% 16.60/11.83 tff(24718,plain,
% 16.60/11.83 ((~(v145(constB183) <=> (~(v84(constB183, 1) | v84(constB183, 2) | (~v84(constB183, 0)))))) | (~v145(constB183)) | (~(v84(constB183, 1) | v84(constB183, 2) | (~v84(constB183, 0))))),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24719,plain,
% 16.60/11.83 (~v145(constB183)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24718, 24717, 22322])).
% 16.60/11.83 tff(24720,plain,
% 16.60/11.83 (((~v141(constB183)) | (~v145(constB183))) | v145(constB183)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24721,plain,
% 16.60/11.83 ((~v141(constB183)) | (~v145(constB183))),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24720, 24719])).
% 16.60/11.83 tff(24722,plain,
% 16.60/11.83 ((~(v144(constB183) <=> (~((~v141(constB183)) | (~v145(constB183)))))) | (~v144(constB183)) | (~((~v141(constB183)) | (~v145(constB183))))),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24723,plain,
% 16.60/11.83 (~v144(constB183)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24722, 24721, 22320])).
% 16.60/11.83 tff(24724,plain,
% 16.60/11.83 (((~v143(constB183)) | (~v144(constB183))) | v144(constB183)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24725,plain,
% 16.60/11.83 ((~v143(constB183)) | (~v144(constB183))),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24724, 24723])).
% 16.60/11.83 tff(24726,plain,
% 16.60/11.83 ((~(v142(constB183) <=> (~((~v143(constB183)) | (~v144(constB183)))))) | (~v142(constB183)) | (~((~v143(constB183)) | (~v144(constB183))))),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24727,plain,
% 16.60/11.83 (~v142(constB183)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24726, 24725, 22318])).
% 16.60/11.83 tff(24728,plain,
% 16.60/11.83 ((~(v138(constB183) | v142(constB183))) | v138(constB183) | v142(constB183)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24729,plain,
% 16.60/11.83 (~(v138(constB183) | v142(constB183))),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24728, 24727, 22316])).
% 16.60/11.83 tff(24730,plain,
% 16.60/11.83 ((~(v135(constB183) <=> (v138(constB183) | v142(constB183)))) | (~v135(constB183)) | (v138(constB183) | v142(constB183))),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24731,plain,
% 16.60/11.83 (~v135(constB183)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24730, 24729, 22240])).
% 16.60/11.83 tff(24732,plain,
% 16.60/11.83 ((~(v137(constB184) <=> v135(constB183))) | (~v137(constB184)) | v135(constB183)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24733,plain,
% 16.60/11.83 (~v137(constB184)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24732, 24731, 22238])).
% 16.60/11.83 tff(24734,plain,
% 16.60/11.83 ((~(v132(constB184) <=> v137(constB184))) | (~v132(constB184)) | v137(constB184)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24735,plain,
% 16.60/11.83 (~v132(constB184)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24734, 24733, 22231])).
% 16.60/11.83 tff(24736,plain,
% 16.60/11.83 (((~v132(constB184)) | (~v139(constB184))) | v132(constB184)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24737,plain,
% 16.60/11.83 ((~v132(constB184)) | (~v139(constB184))),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24736, 24735])).
% 16.60/11.83 tff(24738,plain,
% 16.60/11.83 ((~(v138(constB184) <=> (~((~v132(constB184)) | (~v139(constB184)))))) | (~v138(constB184)) | (~((~v132(constB184)) | (~v139(constB184))))),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24739,plain,
% 16.60/11.83 (~v138(constB184)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24738, 24737, 22229])).
% 16.60/11.83 tff(24740,plain,
% 16.60/11.83 ((~(v138(constB184) | v142(constB184))) | v138(constB184) | v142(constB184)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24741,plain,
% 16.60/11.83 (~(v138(constB184) | v142(constB184))),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24740, 24739, 22222])).
% 16.60/11.83 tff(24742,plain,
% 16.60/11.83 ((~(v135(constB184) <=> (v138(constB184) | v142(constB184)))) | (~v135(constB184)) | (v138(constB184) | v142(constB184))),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24743,plain,
% 16.60/11.83 (~v135(constB184)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24742, 24741, 22194])).
% 16.60/11.83 tff(24744,plain,
% 16.60/11.83 ((~(v137(constB185) <=> v135(constB184))) | (~v137(constB185)) | v135(constB184)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24745,plain,
% 16.60/11.83 (~v137(constB185)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24744, 24743, 22192])).
% 16.60/11.83 tff(24746,plain,
% 16.60/11.83 ((~(v132(constB185) <=> v137(constB185))) | (~v132(constB185)) | v137(constB185)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24747,plain,
% 16.60/11.83 (~v132(constB185)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24746, 24745, 22185])).
% 16.60/11.83 tff(24748,plain,
% 16.60/11.83 (((~v132(constB185)) | (~v155(constB185))) | v132(constB185)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24749,plain,
% 16.60/11.83 ((~v132(constB185)) | (~v155(constB185))),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24748, 24747])).
% 16.60/11.83 tff(24750,plain,
% 16.60/11.83 ((~(v154(constB185) <=> (~((~v132(constB185)) | (~v155(constB185)))))) | (~v154(constB185)) | (~((~v132(constB185)) | (~v155(constB185))))),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24751,plain,
% 16.60/11.83 (~v154(constB185)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24750, 24749, 22183])).
% 16.60/11.83 tff(24752,plain,
% 16.60/11.83 ((~(v153(constB185) | v154(constB185))) | v153(constB185) | v154(constB185)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24753,plain,
% 16.60/11.83 (~(v153(constB185) | v154(constB185))),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24752, 24751, 22176])).
% 16.60/11.83 tff(24754,plain,
% 16.60/11.83 ((~(v150(constB185) <=> (v153(constB185) | v154(constB185)))) | (~v150(constB185)) | (v153(constB185) | v154(constB185))),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24755,plain,
% 16.60/11.83 (~v150(constB185)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24754, 24753, 22100])).
% 16.60/11.83 tff(24756,plain,
% 16.60/11.83 ((~(v152(constB186) <=> v150(constB185))) | (~v152(constB186)) | v150(constB185)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24757,plain,
% 16.60/11.83 (~v152(constB186)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24756, 24755, 22098])).
% 16.60/11.83 tff(24758,plain,
% 16.60/11.83 ((~(v130(constB186) <=> v152(constB186))) | (~v130(constB186)) | v152(constB186)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24759,plain,
% 16.60/11.83 (~v130(constB186)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24758, 24757, 22091])).
% 16.60/11.83 tff(24760,plain,
% 16.60/11.83 (((~v130(constB186)) | (~v139(constB186))) | v130(constB186)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24761,plain,
% 16.60/11.83 ((~v130(constB186)) | (~v139(constB186))),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24760, 24759])).
% 16.60/11.83 tff(24762,plain,
% 16.60/11.83 ((~(v153(constB186) <=> (~((~v130(constB186)) | (~v139(constB186)))))) | (~v153(constB186)) | (~((~v130(constB186)) | (~v139(constB186))))),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24763,plain,
% 16.60/11.83 (~v153(constB186)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24762, 24761, 22089])).
% 16.60/11.83 tff(24764,plain,
% 16.60/11.83 ((~(v153(constB186) | v154(constB186))) | v153(constB186) | v154(constB186)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24765,plain,
% 16.60/11.83 (~(v153(constB186) | v154(constB186))),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24764, 24763, 22082])).
% 16.60/11.83 tff(24766,plain,
% 16.60/11.83 ((~(v150(constB186) <=> (v153(constB186) | v154(constB186)))) | (~v150(constB186)) | (v153(constB186) | v154(constB186))),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24767,plain,
% 16.60/11.83 (~v150(constB186)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24766, 24765, 22044])).
% 16.60/11.83 tff(24768,plain,
% 16.60/11.83 ((~(v152(constB187) <=> v150(constB186))) | (~v152(constB187)) | v150(constB186)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24769,plain,
% 16.60/11.83 (~v152(constB187)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24768, 24767, 22042])).
% 16.60/11.83 tff(24770,plain,
% 16.60/11.83 ((~(v130(constB187) <=> v152(constB187))) | (~v130(constB187)) | v152(constB187)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24771,plain,
% 16.60/11.83 (~v130(constB187)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24770, 24769, 22035])).
% 16.60/11.83 tff(24772,plain,
% 16.60/11.83 (((~v130(constB187)) | (~v155(constB187))) | v130(constB187)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24773,plain,
% 16.60/11.83 ((~v130(constB187)) | (~v155(constB187))),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24772, 24771])).
% 16.60/11.83 tff(24774,plain,
% 16.60/11.83 ((~(v164(constB187) <=> (~((~v130(constB187)) | (~v155(constB187)))))) | (~v164(constB187)) | (~((~v130(constB187)) | (~v155(constB187))))),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24775,plain,
% 16.60/11.83 (~v164(constB187)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24774, 24773, 22033])).
% 16.60/11.83 tff(24776,plain,
% 16.60/11.83 ((~(v163(constB187) | v164(constB187))) | v163(constB187) | v164(constB187)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24777,plain,
% 16.60/11.83 (~(v163(constB187) | v164(constB187))),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24776, 24775, 22026])).
% 16.60/11.83 tff(24778,plain,
% 16.60/11.83 ((~(v160(constB187) <=> (v163(constB187) | v164(constB187)))) | (~v160(constB187)) | (v163(constB187) | v164(constB187))),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24779,plain,
% 16.60/11.83 (~v160(constB187)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24778, 24777, 21950])).
% 16.60/11.83 tff(24780,plain,
% 16.60/11.83 ((~(v162(constB188) <=> v160(constB187))) | (~v162(constB188)) | v160(constB187)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.60/11.83 tff(24781,plain,
% 16.60/11.83 (~v162(constB188)),
% 16.60/11.83 inference(unit_resolution,[status(thm)],[24780, 24779, 21948])).
% 16.60/11.83 tff(24782,plain,
% 16.60/11.83 ((~(v128(constB188) <=> v162(constB188))) | (~v128(constB188)) | v162(constB188)),
% 16.60/11.83 inference(tautology,[status(thm)],[])).
% 16.70/11.83 tff(24783,plain,
% 16.70/11.83 (~v128(constB188)),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24782, 24781, 21941])).
% 16.70/11.83 tff(24784,plain,
% 16.70/11.83 (((~v128(constB188)) | (~v139(constB188))) | v128(constB188)),
% 16.70/11.83 inference(tautology,[status(thm)],[])).
% 16.70/11.83 tff(24785,plain,
% 16.70/11.83 ((~v128(constB188)) | (~v139(constB188))),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24784, 24783])).
% 16.70/11.83 tff(24786,plain,
% 16.70/11.83 ((~(v163(constB188) <=> (~((~v128(constB188)) | (~v139(constB188)))))) | (~v163(constB188)) | (~((~v128(constB188)) | (~v139(constB188))))),
% 16.70/11.83 inference(tautology,[status(thm)],[])).
% 16.70/11.83 tff(24787,plain,
% 16.70/11.83 (~v163(constB188)),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24786, 24785, 21939])).
% 16.70/11.83 tff(24788,plain,
% 16.70/11.83 ((~(v163(constB188) | v164(constB188))) | v163(constB188) | v164(constB188)),
% 16.70/11.83 inference(tautology,[status(thm)],[])).
% 16.70/11.83 tff(24789,plain,
% 16.70/11.83 (~(v163(constB188) | v164(constB188))),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24788, 24787, 21932])).
% 16.70/11.83 tff(24790,plain,
% 16.70/11.83 ((~(v160(constB188) <=> (v163(constB188) | v164(constB188)))) | (~v160(constB188)) | (v163(constB188) | v164(constB188))),
% 16.70/11.83 inference(tautology,[status(thm)],[])).
% 16.70/11.83 tff(24791,plain,
% 16.70/11.83 (~v160(constB188)),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24790, 24789, 21894])).
% 16.70/11.83 tff(24792,plain,
% 16.70/11.83 ((~(v162(constB189) <=> v160(constB188))) | (~v162(constB189)) | v160(constB188)),
% 16.70/11.83 inference(tautology,[status(thm)],[])).
% 16.70/11.83 tff(24793,plain,
% 16.70/11.83 (~v162(constB189)),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24792, 24791, 21892])).
% 16.70/11.83 tff(24794,plain,
% 16.70/11.83 ($false),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24793, 21885])).
% 16.70/11.83 tff(24795,plain,(~(constB189 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.70/11.83 tff(24796,assumption,(constB177 = VarCurr!0), introduced(assumption)).
% 16.70/11.83 tff(24797,plain,
% 16.70/11.83 (v162(constB177) <=> v162(VarCurr!0)),
% 16.70/11.83 inference(monotonicity,[status(thm)],[24796])).
% 16.70/11.83 tff(24798,plain,
% 16.70/11.83 (v162(VarCurr!0) <=> v162(constB177)),
% 16.70/11.83 inference(symmetry,[status(thm)],[24797])).
% 16.70/11.83 tff(24799,plain,
% 16.70/11.83 (v162(constB177)),
% 16.70/11.83 inference(modus_ponens,[status(thm)],[59, 24798])).
% 16.70/11.83 tff(24800,plain,
% 16.70/11.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB176, constB177)) | (v162(constB177) <=> v160(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB176, constB177)) | (v162(constB177) <=> v160(constB176)))),
% 16.70/11.83 inference(rewrite,[status(thm)],[])).
% 16.70/11.83 tff(24801,plain,
% 16.70/11.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB176, constB177)) | (v162(constB177) <=> v160(constB176)))),
% 16.70/11.83 inference(quant_inst,[status(thm)],[])).
% 16.70/11.83 tff(24802,plain,
% 16.70/11.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB176, constB177)) | (v162(constB177) <=> v160(constB176))),
% 16.70/11.83 inference(modus_ponens,[status(thm)],[24801, 24800])).
% 16.70/11.83 tff(24803,plain,
% 16.70/11.83 (v162(constB177) <=> v160(constB176)),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24802, 22510, 70])).
% 16.70/11.83 tff(24804,plain,
% 16.70/11.83 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB176) <=> (v163(constB176) | v164(constB176)))),
% 16.70/11.83 inference(quant_inst,[status(thm)],[])).
% 16.70/11.83 tff(24805,plain,
% 16.70/11.83 (v160(constB176) <=> (v163(constB176) | v164(constB176))),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24804, 84])).
% 16.70/11.83 tff(24806,plain,
% 16.70/11.83 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB176) <=> (~((~v130(constB176)) | (~v155(constB176)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB176) <=> (~((~v130(constB176)) | (~v155(constB176))))))),
% 16.70/11.83 inference(rewrite,[status(thm)],[])).
% 16.70/11.83 tff(24807,plain,
% 16.70/11.83 ((v164(constB176) <=> (~((~v155(constB176)) | (~v130(constB176))))) <=> (v164(constB176) <=> (~((~v130(constB176)) | (~v155(constB176)))))),
% 16.70/11.83 inference(rewrite,[status(thm)],[])).
% 16.70/11.83 tff(24808,plain,
% 16.70/11.83 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB176) <=> (~((~v155(constB176)) | (~v130(constB176)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB176) <=> (~((~v130(constB176)) | (~v155(constB176))))))),
% 16.70/11.83 inference(monotonicity,[status(thm)],[24807])).
% 16.70/11.83 tff(24809,plain,
% 16.70/11.83 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB176) <=> (~((~v155(constB176)) | (~v130(constB176)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB176) <=> (~((~v130(constB176)) | (~v155(constB176))))))),
% 16.70/11.83 inference(transitivity,[status(thm)],[24808, 24806])).
% 16.70/11.83 tff(24810,plain,
% 16.70/11.83 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB176) <=> (~((~v155(constB176)) | (~v130(constB176)))))),
% 16.70/11.83 inference(quant_inst,[status(thm)],[])).
% 16.70/11.83 tff(24811,plain,
% 16.70/11.83 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB176) <=> (~((~v130(constB176)) | (~v155(constB176)))))),
% 16.70/11.83 inference(modus_ponens,[status(thm)],[24810, 24809])).
% 16.70/11.83 tff(24812,plain,
% 16.70/11.83 (v164(constB176) <=> (~((~v130(constB176)) | (~v155(constB176))))),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24811, 96])).
% 16.70/11.83 tff(24813,plain,
% 16.70/11.83 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB176) <=> (~((~v141(constB176)) | (~v143(constB176)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB176) <=> (~((~v141(constB176)) | (~v143(constB176))))))),
% 16.70/11.83 inference(rewrite,[status(thm)],[])).
% 16.70/11.83 tff(24814,plain,
% 16.70/11.83 ((v155(constB176) <=> (~((~v143(constB176)) | (~v141(constB176))))) <=> (v155(constB176) <=> (~((~v141(constB176)) | (~v143(constB176)))))),
% 16.70/11.83 inference(rewrite,[status(thm)],[])).
% 16.70/11.83 tff(24815,plain,
% 16.70/11.83 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB176) <=> (~((~v143(constB176)) | (~v141(constB176)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB176) <=> (~((~v141(constB176)) | (~v143(constB176))))))),
% 16.70/11.83 inference(monotonicity,[status(thm)],[24814])).
% 16.70/11.83 tff(24816,plain,
% 16.70/11.83 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB176) <=> (~((~v143(constB176)) | (~v141(constB176)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB176) <=> (~((~v141(constB176)) | (~v143(constB176))))))),
% 16.70/11.83 inference(transitivity,[status(thm)],[24815, 24813])).
% 16.70/11.83 tff(24817,plain,
% 16.70/11.83 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB176) <=> (~((~v143(constB176)) | (~v141(constB176)))))),
% 16.70/11.83 inference(quant_inst,[status(thm)],[])).
% 16.70/11.83 tff(24818,plain,
% 16.70/11.83 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB176) <=> (~((~v141(constB176)) | (~v143(constB176)))))),
% 16.70/11.83 inference(modus_ponens,[status(thm)],[24817, 24816])).
% 16.70/11.83 tff(24819,plain,
% 16.70/11.83 (v155(constB176) <=> (~((~v141(constB176)) | (~v143(constB176))))),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24818, 113])).
% 16.70/11.83 tff(24820,plain,
% 16.70/11.83 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))),
% 16.70/11.83 inference(quant_inst,[status(thm)],[])).
% 16.70/11.83 tff(24821,plain,
% 16.70/11.83 (v141(constB176) <=> (~((~v39(constB176)) | (~v9(constB176))))),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24820, 130])).
% 16.70/11.83 tff(24822,plain,
% 16.70/11.83 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB176)) <=> v1(constB176))),
% 16.70/11.83 inference(quant_inst,[status(thm)],[])).
% 16.70/11.83 tff(24823,plain,
% 16.70/11.83 ((~v39(constB176)) <=> v1(constB176)),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24822, 139])).
% 16.70/11.83 tff(24824,plain,
% 16.70/11.83 ((~((~v39(constB176)) <=> v1(constB176))) | (~v39(constB176)) | (~v1(constB176))),
% 16.70/11.83 inference(tautology,[status(thm)],[])).
% 16.70/11.83 tff(24825,plain,
% 16.70/11.83 ((~((~v39(constB176)) <=> v1(constB176))) | (~v39(constB176))),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24824, 24191])).
% 16.70/11.83 tff(24826,plain,
% 16.70/11.83 (~v39(constB176)),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24825, 24823])).
% 16.70/11.83 tff(24827,plain,
% 16.70/11.83 (((~v39(constB176)) | (~v9(constB176))) | v39(constB176)),
% 16.70/11.83 inference(tautology,[status(thm)],[])).
% 16.70/11.83 tff(24828,plain,
% 16.70/11.83 ((~v39(constB176)) | (~v9(constB176))),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24827, 24826])).
% 16.70/11.83 tff(24829,plain,
% 16.70/11.83 ((~(v141(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))) | (~v141(constB176)) | (~((~v39(constB176)) | (~v9(constB176))))),
% 16.70/11.83 inference(tautology,[status(thm)],[])).
% 16.70/11.83 tff(24830,plain,
% 16.70/11.83 ((~(v141(constB176) <=> (~((~v39(constB176)) | (~v9(constB176)))))) | (~v141(constB176))),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24829, 24828])).
% 16.70/11.83 tff(24831,plain,
% 16.70/11.83 (~v141(constB176)),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24830, 24821])).
% 16.70/11.83 tff(24832,plain,
% 16.70/11.83 (((~v141(constB176)) | (~v143(constB176))) | v141(constB176)),
% 16.70/11.83 inference(tautology,[status(thm)],[])).
% 16.70/11.83 tff(24833,plain,
% 16.70/11.83 ((~v141(constB176)) | (~v143(constB176))),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24832, 24831])).
% 16.70/11.83 tff(24834,plain,
% 16.70/11.83 ((~(v155(constB176) <=> (~((~v141(constB176)) | (~v143(constB176)))))) | (~v155(constB176)) | (~((~v141(constB176)) | (~v143(constB176))))),
% 16.70/11.83 inference(tautology,[status(thm)],[])).
% 16.70/11.83 tff(24835,plain,
% 16.70/11.83 ((~(v155(constB176) <=> (~((~v141(constB176)) | (~v143(constB176)))))) | (~v155(constB176))),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24834, 24833])).
% 16.70/11.83 tff(24836,plain,
% 16.70/11.83 (~v155(constB176)),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24835, 24819])).
% 16.70/11.83 tff(24837,plain,
% 16.70/11.83 (((~v130(constB176)) | (~v155(constB176))) | v155(constB176)),
% 16.70/11.83 inference(tautology,[status(thm)],[])).
% 16.70/11.83 tff(24838,plain,
% 16.70/11.83 ((~v130(constB176)) | (~v155(constB176))),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24837, 24836])).
% 16.70/11.83 tff(24839,plain,
% 16.70/11.83 ((~(v164(constB176) <=> (~((~v130(constB176)) | (~v155(constB176)))))) | (~v164(constB176)) | (~((~v130(constB176)) | (~v155(constB176))))),
% 16.70/11.83 inference(tautology,[status(thm)],[])).
% 16.70/11.83 tff(24840,plain,
% 16.70/11.83 (~v164(constB176)),
% 16.70/11.83 inference(unit_resolution,[status(thm)],[24839, 24838, 24812])).
% 16.70/11.83 tff(24841,plain,
% 16.70/11.83 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB176) <=> (~((~v128(constB176)) | (~v139(constB176)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB176) <=> (~((~v128(constB176)) | (~v139(constB176))))))),
% 16.70/11.83 inference(rewrite,[status(thm)],[])).
% 16.70/11.83 tff(24842,plain,
% 16.70/11.83 ((v163(constB176) <=> (~((~v139(constB176)) | (~v128(constB176))))) <=> (v163(constB176) <=> (~((~v128(constB176)) | (~v139(constB176)))))),
% 16.70/11.83 inference(rewrite,[status(thm)],[])).
% 16.70/11.84 tff(24843,plain,
% 16.70/11.84 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB176) <=> (~((~v139(constB176)) | (~v128(constB176)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB176) <=> (~((~v128(constB176)) | (~v139(constB176))))))),
% 16.70/11.84 inference(monotonicity,[status(thm)],[24842])).
% 16.70/11.84 tff(24844,plain,
% 16.70/11.84 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB176) <=> (~((~v139(constB176)) | (~v128(constB176)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB176) <=> (~((~v128(constB176)) | (~v139(constB176))))))),
% 16.70/11.84 inference(transitivity,[status(thm)],[24843, 24841])).
% 16.70/11.84 tff(24845,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB176) <=> (~((~v139(constB176)) | (~v128(constB176)))))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24846,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB176) <=> (~((~v128(constB176)) | (~v139(constB176)))))),
% 16.70/11.84 inference(modus_ponens,[status(thm)],[24845, 24844])).
% 16.70/11.84 tff(24847,plain,
% 16.70/11.84 (v163(constB176) <=> (~((~v128(constB176)) | (~v139(constB176))))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24846, 171])).
% 16.70/11.84 tff(24848,plain,
% 16.70/11.84 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB176) <=> v162(constB176))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24849,plain,
% 16.70/11.84 (v128(constB176) <=> v162(constB176)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24848, 13])).
% 16.70/11.84 tff(24850,plain,
% 16.70/11.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB175, constB176)) | (v162(constB176) <=> v160(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB175, constB176)) | (v162(constB176) <=> v160(constB175)))),
% 16.70/11.84 inference(rewrite,[status(thm)],[])).
% 16.70/11.84 tff(24851,plain,
% 16.70/11.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB175, constB176)) | (v162(constB176) <=> v160(constB175)))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24852,plain,
% 16.70/11.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB175, constB176)) | (v162(constB176) <=> v160(constB175))),
% 16.70/11.84 inference(modus_ponens,[status(thm)],[24851, 24850])).
% 16.70/11.84 tff(24853,plain,
% 16.70/11.84 (v162(constB176) <=> v160(constB175)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24852, 22546, 70])).
% 16.70/11.84 tff(24854,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB175) <=> (v163(constB175) | v164(constB175)))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24855,plain,
% 16.70/11.84 (v160(constB175) <=> (v163(constB175) | v164(constB175))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24854, 84])).
% 16.70/11.84 tff(24856,plain,
% 16.70/11.84 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB175) <=> (~((~v128(constB175)) | (~v139(constB175)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB175) <=> (~((~v128(constB175)) | (~v139(constB175))))))),
% 16.70/11.84 inference(rewrite,[status(thm)],[])).
% 16.70/11.84 tff(24857,plain,
% 16.70/11.84 ((v163(constB175) <=> (~((~v139(constB175)) | (~v128(constB175))))) <=> (v163(constB175) <=> (~((~v128(constB175)) | (~v139(constB175)))))),
% 16.70/11.84 inference(rewrite,[status(thm)],[])).
% 16.70/11.84 tff(24858,plain,
% 16.70/11.84 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB175) <=> (~((~v139(constB175)) | (~v128(constB175)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB175) <=> (~((~v128(constB175)) | (~v139(constB175))))))),
% 16.70/11.84 inference(monotonicity,[status(thm)],[24857])).
% 16.70/11.84 tff(24859,plain,
% 16.70/11.84 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB175) <=> (~((~v139(constB175)) | (~v128(constB175)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB175) <=> (~((~v128(constB175)) | (~v139(constB175))))))),
% 16.70/11.84 inference(transitivity,[status(thm)],[24858, 24856])).
% 16.70/11.84 tff(24860,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB175) <=> (~((~v139(constB175)) | (~v128(constB175)))))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24861,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB175) <=> (~((~v128(constB175)) | (~v139(constB175)))))),
% 16.70/11.84 inference(modus_ponens,[status(thm)],[24860, 24859])).
% 16.70/11.84 tff(24862,plain,
% 16.70/11.84 (v163(constB175) <=> (~((~v128(constB175)) | (~v139(constB175))))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24861, 171])).
% 16.70/11.84 tff(24863,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB175)) <=> v140(constB175))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24864,plain,
% 16.70/11.84 ((~v139(constB175)) <=> v140(constB175)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24863, 203])).
% 16.70/11.84 tff(24865,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB175) <=> (v141(constB175) | v26(constB175)))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24866,plain,
% 16.70/11.84 (v140(constB175) <=> (v141(constB175) | v26(constB175))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24865, 212])).
% 16.70/11.84 tff(24867,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB175) <=> (~((~v39(constB175)) | (~v9(constB175)))))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24868,plain,
% 16.70/11.84 (v141(constB175) <=> (~((~v39(constB175)) | (~v9(constB175))))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24867, 130])).
% 16.70/11.84 tff(24869,plain,
% 16.70/11.84 (((~![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)))),
% 16.70/11.84 inference(rewrite,[status(thm)],[])).
% 16.70/11.84 tff(24870,plain,
% 16.70/11.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175)))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24871,plain,
% 16.70/11.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB175, constB176)) | (v13(constB176) <=> v9(constB175))),
% 16.70/11.84 inference(modus_ponens,[status(thm)],[24870, 24869])).
% 16.70/11.84 tff(24872,plain,
% 16.70/11.84 (v13(constB176) <=> v9(constB175)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24871, 22546, 226])).
% 16.70/11.84 tff(24873,plain,
% 16.70/11.84 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB176) <=> v13(constB176))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24874,plain,
% 16.70/11.84 (v6(constB176) <=> v13(constB176)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24873, 240])).
% 16.70/11.84 tff(24875,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB176)) <=> v6(constB176))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24876,plain,
% 16.70/11.84 ((~v21(constB176)) <=> v6(constB176)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24875, 249])).
% 16.70/11.84 tff(24877,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB176) <=> (v20(constB176) | v21(constB176)))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24878,plain,
% 16.70/11.84 (v19(constB176) <=> (v20(constB176) | v21(constB176))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24877, 258])).
% 16.70/11.84 tff(24879,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176)))))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24880,plain,
% 16.70/11.84 (v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176))))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24879, 270])).
% 16.70/11.84 tff(24881,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB176)) <=> v18(constB176))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24882,plain,
% 16.70/11.84 ((~v4(constB176)) <=> v18(constB176)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24881, 279])).
% 16.70/11.84 tff(24883,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB176)),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24884,plain,
% 16.70/11.84 (v4(constB176)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24883, 288])).
% 16.70/11.84 tff(24885,plain,
% 16.70/11.84 ((~((~v4(constB176)) <=> v18(constB176))) | (~v4(constB176)) | (~v18(constB176))),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24886,plain,
% 16.70/11.84 (~v18(constB176)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24885, 24884, 24882])).
% 16.70/11.84 tff(24887,plain,
% 16.70/11.84 ((~(v18(constB176) <=> (~((~v19(constB176)) | (~v22(constB176)))))) | v18(constB176) | ((~v19(constB176)) | (~v22(constB176)))),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24888,plain,
% 16.70/11.84 ((~v19(constB176)) | (~v22(constB176))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24887, 24886, 24880])).
% 16.70/11.84 tff(24889,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB176) <=> (v1(constB176) | v6(constB176)))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24890,plain,
% 16.70/11.84 (v22(constB176) <=> (v1(constB176) | v6(constB176))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24889, 301])).
% 16.70/11.84 tff(24891,plain,
% 16.70/11.84 ((v1(constB176) | v6(constB176)) | (~v1(constB176))),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24892,plain,
% 16.70/11.84 (v1(constB176) | v6(constB176)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24891, 24191])).
% 16.70/11.84 tff(24893,plain,
% 16.70/11.84 ((~(v22(constB176) <=> (v1(constB176) | v6(constB176)))) | v22(constB176) | (~(v1(constB176) | v6(constB176)))),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24894,plain,
% 16.70/11.84 ((~(v22(constB176) <=> (v1(constB176) | v6(constB176)))) | v22(constB176)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24893, 24892])).
% 16.70/11.84 tff(24895,plain,
% 16.70/11.84 (v22(constB176)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24894, 24890])).
% 16.70/11.84 tff(24896,plain,
% 16.70/11.84 ((~((~v19(constB176)) | (~v22(constB176)))) | (~v19(constB176)) | (~v22(constB176))),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24897,plain,
% 16.70/11.84 ((~((~v19(constB176)) | (~v22(constB176)))) | (~v19(constB176))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24896, 24895])).
% 16.70/11.84 tff(24898,plain,
% 16.70/11.84 (~v19(constB176)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24897, 24888])).
% 16.70/11.84 tff(24899,plain,
% 16.70/11.84 ((~(v19(constB176) <=> (v20(constB176) | v21(constB176)))) | v19(constB176) | (~(v20(constB176) | v21(constB176)))),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24900,plain,
% 16.70/11.84 (~(v20(constB176) | v21(constB176))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24899, 24898, 24878])).
% 16.70/11.84 tff(24901,plain,
% 16.70/11.84 ((v20(constB176) | v21(constB176)) | (~v21(constB176))),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24902,plain,
% 16.70/11.84 (~v21(constB176)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24901, 24900])).
% 16.70/11.84 tff(24903,plain,
% 16.70/11.84 ((~((~v21(constB176)) <=> v6(constB176))) | v21(constB176) | v6(constB176)),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24904,plain,
% 16.70/11.84 (v6(constB176)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24903, 24902, 24876])).
% 16.70/11.84 tff(24905,plain,
% 16.70/11.84 ((~(v6(constB176) <=> v13(constB176))) | (~v6(constB176)) | v13(constB176)),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24906,plain,
% 16.70/11.84 (v13(constB176)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24905, 24904, 24874])).
% 16.70/11.84 tff(24907,plain,
% 16.70/11.84 ((~(v13(constB176) <=> v9(constB175))) | (~v13(constB176)) | v9(constB175)),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24908,plain,
% 16.70/11.84 (v9(constB175)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24907, 24906, 24872])).
% 16.70/11.84 tff(24909,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB175)) <=> v1(constB175))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24910,plain,
% 16.70/11.84 ((~v39(constB175)) <=> v1(constB175)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24909, 139])).
% 16.70/11.84 tff(24911,plain,
% 16.70/11.84 ((~((~v39(constB175)) <=> v1(constB175))) | v39(constB175) | v1(constB175)),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24912,plain,
% 16.70/11.84 ((~((~v39(constB175)) <=> v1(constB175))) | v39(constB175)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24911, 22585])).
% 16.70/11.84 tff(24913,plain,
% 16.70/11.84 (v39(constB175)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24912, 24910])).
% 16.70/11.84 tff(24914,plain,
% 16.70/11.84 ((~((~v39(constB175)) | (~v9(constB175)))) | (~v39(constB175)) | (~v9(constB175))),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24915,plain,
% 16.70/11.84 ((~((~v39(constB175)) | (~v9(constB175)))) | (~v9(constB175))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24914, 24913])).
% 16.70/11.84 tff(24916,plain,
% 16.70/11.84 (~((~v39(constB175)) | (~v9(constB175)))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24915, 24908])).
% 16.70/11.84 tff(24917,plain,
% 16.70/11.84 ((~(v141(constB175) <=> (~((~v39(constB175)) | (~v9(constB175)))))) | v141(constB175) | ((~v39(constB175)) | (~v9(constB175)))),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24918,plain,
% 16.70/11.84 (v141(constB175)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24917, 24916, 24868])).
% 16.70/11.84 tff(24919,plain,
% 16.70/11.84 ((v141(constB175) | v26(constB175)) | (~v141(constB175))),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24920,plain,
% 16.70/11.84 (v141(constB175) | v26(constB175)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24919, 24918])).
% 16.70/11.84 tff(24921,plain,
% 16.70/11.84 ((~(v140(constB175) <=> (v141(constB175) | v26(constB175)))) | v140(constB175) | (~(v141(constB175) | v26(constB175)))),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24922,plain,
% 16.70/11.84 (v140(constB175)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24921, 24920, 24866])).
% 16.70/11.84 tff(24923,plain,
% 16.70/11.84 ((~((~v139(constB175)) <=> v140(constB175))) | (~v139(constB175)) | (~v140(constB175))),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24924,plain,
% 16.70/11.84 (~v139(constB175)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24923, 24922, 24864])).
% 16.70/11.84 tff(24925,plain,
% 16.70/11.84 (((~v128(constB175)) | (~v139(constB175))) | v139(constB175)),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24926,plain,
% 16.70/11.84 ((~v128(constB175)) | (~v139(constB175))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24925, 24924])).
% 16.70/11.84 tff(24927,plain,
% 16.70/11.84 ((~(v163(constB175) <=> (~((~v128(constB175)) | (~v139(constB175)))))) | (~v163(constB175)) | (~((~v128(constB175)) | (~v139(constB175))))),
% 16.70/11.84 inference(tautology,[status(thm)],[])).
% 16.70/11.84 tff(24928,plain,
% 16.70/11.84 (~v163(constB175)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24927, 24926, 24862])).
% 16.70/11.84 tff(24929,plain,
% 16.70/11.84 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB175) <=> (~((~v130(constB175)) | (~v155(constB175)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB175) <=> (~((~v130(constB175)) | (~v155(constB175))))))),
% 16.70/11.84 inference(rewrite,[status(thm)],[])).
% 16.70/11.84 tff(24930,plain,
% 16.70/11.84 ((v164(constB175) <=> (~((~v155(constB175)) | (~v130(constB175))))) <=> (v164(constB175) <=> (~((~v130(constB175)) | (~v155(constB175)))))),
% 16.70/11.84 inference(rewrite,[status(thm)],[])).
% 16.70/11.84 tff(24931,plain,
% 16.70/11.84 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB175) <=> (~((~v155(constB175)) | (~v130(constB175)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB175) <=> (~((~v130(constB175)) | (~v155(constB175))))))),
% 16.70/11.84 inference(monotonicity,[status(thm)],[24930])).
% 16.70/11.84 tff(24932,plain,
% 16.70/11.84 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB175) <=> (~((~v155(constB175)) | (~v130(constB175)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB175) <=> (~((~v130(constB175)) | (~v155(constB175))))))),
% 16.70/11.84 inference(transitivity,[status(thm)],[24931, 24929])).
% 16.70/11.84 tff(24933,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB175) <=> (~((~v155(constB175)) | (~v130(constB175)))))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24934,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB175) <=> (~((~v130(constB175)) | (~v155(constB175)))))),
% 16.70/11.84 inference(modus_ponens,[status(thm)],[24933, 24932])).
% 16.70/11.84 tff(24935,plain,
% 16.70/11.84 (v164(constB175) <=> (~((~v130(constB175)) | (~v155(constB175))))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24934, 96])).
% 16.70/11.84 tff(24936,plain,
% 16.70/11.84 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB175) <=> v152(constB175))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24937,plain,
% 16.70/11.84 (v130(constB175) <=> v152(constB175)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24936, 361])).
% 16.70/11.84 tff(24938,plain,
% 16.70/11.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB174, constB175)) | (v152(constB175) <=> v150(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB174, constB175)) | (v152(constB175) <=> v150(constB174)))),
% 16.70/11.84 inference(rewrite,[status(thm)],[])).
% 16.70/11.84 tff(24939,plain,
% 16.70/11.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB174, constB175)) | (v152(constB175) <=> v150(constB174)))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24940,plain,
% 16.70/11.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB174, constB175)) | (v152(constB175) <=> v150(constB174))),
% 16.70/11.84 inference(modus_ponens,[status(thm)],[24939, 24938])).
% 16.70/11.84 tff(24941,plain,
% 16.70/11.84 (v152(constB175) <=> v150(constB174)),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24940, 22571, 373])).
% 16.70/11.84 tff(24942,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB174) <=> (v153(constB174) | v154(constB174)))),
% 16.70/11.84 inference(quant_inst,[status(thm)],[])).
% 16.70/11.84 tff(24943,plain,
% 16.70/11.84 (v150(constB174) <=> (v153(constB174) | v154(constB174))),
% 16.70/11.84 inference(unit_resolution,[status(thm)],[24942, 387])).
% 16.70/11.84 tff(24944,plain,
% 16.70/11.84 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB174) <=> (~((~v132(constB174)) | (~v155(constB174)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB174) <=> (~((~v132(constB174)) | (~v155(constB174))))))),
% 16.70/11.84 inference(rewrite,[status(thm)],[])).
% 16.70/11.84 tff(24945,plain,
% 16.70/11.84 ((v154(constB174) <=> (~((~v155(constB174)) | (~v132(constB174))))) <=> (v154(constB174) <=> (~((~v132(constB174)) | (~v155(constB174)))))),
% 16.70/11.84 inference(rewrite,[status(thm)],[])).
% 16.70/11.84 tff(24946,plain,
% 16.70/11.84 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB174) <=> (~((~v155(constB174)) | (~v132(constB174)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB174) <=> (~((~v132(constB174)) | (~v155(constB174))))))),
% 16.70/11.84 inference(monotonicity,[status(thm)],[24945])).
% 16.70/11.84 tff(24947,plain,
% 16.70/11.84 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB174) <=> (~((~v155(constB174)) | (~v132(constB174)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB174) <=> (~((~v132(constB174)) | (~v155(constB174))))))),
% 16.70/11.84 inference(transitivity,[status(thm)],[24946, 24944])).
% 16.70/11.84 tff(24948,plain,
% 16.70/11.84 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB174) <=> (~((~v155(constB174)) | (~v132(constB174)))))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(24949,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB174) <=> (~((~v132(constB174)) | (~v155(constB174)))))),
% 16.70/11.85 inference(modus_ponens,[status(thm)],[24948, 24947])).
% 16.70/11.85 tff(24950,plain,
% 16.70/11.85 (v154(constB174) <=> (~((~v132(constB174)) | (~v155(constB174))))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24949, 399])).
% 16.70/11.85 tff(24951,plain,
% 16.70/11.85 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB174) <=> (~((~v141(constB174)) | (~v143(constB174)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB174) <=> (~((~v141(constB174)) | (~v143(constB174))))))),
% 16.70/11.85 inference(rewrite,[status(thm)],[])).
% 16.70/11.85 tff(24952,plain,
% 16.70/11.85 ((v155(constB174) <=> (~((~v143(constB174)) | (~v141(constB174))))) <=> (v155(constB174) <=> (~((~v141(constB174)) | (~v143(constB174)))))),
% 16.70/11.85 inference(rewrite,[status(thm)],[])).
% 16.70/11.85 tff(24953,plain,
% 16.70/11.85 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB174) <=> (~((~v143(constB174)) | (~v141(constB174)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB174) <=> (~((~v141(constB174)) | (~v143(constB174))))))),
% 16.70/11.85 inference(monotonicity,[status(thm)],[24952])).
% 16.70/11.85 tff(24954,plain,
% 16.70/11.85 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB174) <=> (~((~v143(constB174)) | (~v141(constB174)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB174) <=> (~((~v141(constB174)) | (~v143(constB174))))))),
% 16.70/11.85 inference(transitivity,[status(thm)],[24953, 24951])).
% 16.70/11.85 tff(24955,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB174) <=> (~((~v143(constB174)) | (~v141(constB174)))))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(24956,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB174) <=> (~((~v141(constB174)) | (~v143(constB174)))))),
% 16.70/11.85 inference(modus_ponens,[status(thm)],[24955, 24954])).
% 16.70/11.85 tff(24957,plain,
% 16.70/11.85 (v155(constB174) <=> (~((~v141(constB174)) | (~v143(constB174))))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24956, 113])).
% 16.70/11.85 tff(24958,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB174) <=> (~((~v39(constB174)) | (~v9(constB174)))))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(24959,plain,
% 16.70/11.85 (v141(constB174) <=> (~((~v39(constB174)) | (~v9(constB174))))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24958, 130])).
% 16.70/11.85 tff(24960,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB174)) <=> v1(constB174))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(24961,plain,
% 16.70/11.85 ((~v39(constB174)) <=> v1(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24960, 139])).
% 16.70/11.85 tff(24962,plain,
% 16.70/11.85 ((~((~v39(constB174)) <=> v1(constB174))) | (~v39(constB174)) | (~v1(constB174))),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(24963,plain,
% 16.70/11.85 ((~((~v39(constB174)) <=> v1(constB174))) | (~v39(constB174))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24962, 23997])).
% 16.70/11.85 tff(24964,plain,
% 16.70/11.85 (~v39(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24963, 24961])).
% 16.70/11.85 tff(24965,plain,
% 16.70/11.85 (((~v39(constB174)) | (~v9(constB174))) | v39(constB174)),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(24966,plain,
% 16.70/11.85 ((~v39(constB174)) | (~v9(constB174))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24965, 24964])).
% 16.70/11.85 tff(24967,plain,
% 16.70/11.85 ((~(v141(constB174) <=> (~((~v39(constB174)) | (~v9(constB174)))))) | (~v141(constB174)) | (~((~v39(constB174)) | (~v9(constB174))))),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(24968,plain,
% 16.70/11.85 ((~(v141(constB174) <=> (~((~v39(constB174)) | (~v9(constB174)))))) | (~v141(constB174))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24967, 24966])).
% 16.70/11.85 tff(24969,plain,
% 16.70/11.85 (~v141(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24968, 24959])).
% 16.70/11.85 tff(24970,plain,
% 16.70/11.85 (((~v141(constB174)) | (~v143(constB174))) | v141(constB174)),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(24971,plain,
% 16.70/11.85 ((~v141(constB174)) | (~v143(constB174))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24970, 24969])).
% 16.70/11.85 tff(24972,plain,
% 16.70/11.85 ((~(v155(constB174) <=> (~((~v141(constB174)) | (~v143(constB174)))))) | (~v155(constB174)) | (~((~v141(constB174)) | (~v143(constB174))))),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(24973,plain,
% 16.70/11.85 ((~(v155(constB174) <=> (~((~v141(constB174)) | (~v143(constB174)))))) | (~v155(constB174))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24972, 24971])).
% 16.70/11.85 tff(24974,plain,
% 16.70/11.85 (~v155(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24973, 24957])).
% 16.70/11.85 tff(24975,plain,
% 16.70/11.85 (((~v132(constB174)) | (~v155(constB174))) | v155(constB174)),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(24976,plain,
% 16.70/11.85 ((~v132(constB174)) | (~v155(constB174))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24975, 24974])).
% 16.70/11.85 tff(24977,plain,
% 16.70/11.85 ((~(v154(constB174) <=> (~((~v132(constB174)) | (~v155(constB174)))))) | (~v154(constB174)) | (~((~v132(constB174)) | (~v155(constB174))))),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(24978,plain,
% 16.70/11.85 (~v154(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24977, 24976, 24950])).
% 16.70/11.85 tff(24979,plain,
% 16.70/11.85 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB174) <=> (~((~v130(constB174)) | (~v139(constB174)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB174) <=> (~((~v130(constB174)) | (~v139(constB174))))))),
% 16.70/11.85 inference(rewrite,[status(thm)],[])).
% 16.70/11.85 tff(24980,plain,
% 16.70/11.85 ((v153(constB174) <=> (~((~v139(constB174)) | (~v130(constB174))))) <=> (v153(constB174) <=> (~((~v130(constB174)) | (~v139(constB174)))))),
% 16.70/11.85 inference(rewrite,[status(thm)],[])).
% 16.70/11.85 tff(24981,plain,
% 16.70/11.85 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB174) <=> (~((~v139(constB174)) | (~v130(constB174)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB174) <=> (~((~v130(constB174)) | (~v139(constB174))))))),
% 16.70/11.85 inference(monotonicity,[status(thm)],[24980])).
% 16.70/11.85 tff(24982,plain,
% 16.70/11.85 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB174) <=> (~((~v139(constB174)) | (~v130(constB174)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB174) <=> (~((~v130(constB174)) | (~v139(constB174))))))),
% 16.70/11.85 inference(transitivity,[status(thm)],[24981, 24979])).
% 16.70/11.85 tff(24983,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB174) <=> (~((~v139(constB174)) | (~v130(constB174)))))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(24984,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB174) <=> (~((~v130(constB174)) | (~v139(constB174)))))),
% 16.70/11.85 inference(modus_ponens,[status(thm)],[24983, 24982])).
% 16.70/11.85 tff(24985,plain,
% 16.70/11.85 (v153(constB174) <=> (~((~v130(constB174)) | (~v139(constB174))))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24984, 447])).
% 16.70/11.85 tff(24986,plain,
% 16.70/11.85 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB174) <=> v152(constB174))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(24987,plain,
% 16.70/11.85 (v130(constB174) <=> v152(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24986, 361])).
% 16.70/11.85 tff(24988,plain,
% 16.70/11.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB173, constB174)) | (v152(constB174) <=> v150(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB173, constB174)) | (v152(constB174) <=> v150(constB173)))),
% 16.70/11.85 inference(rewrite,[status(thm)],[])).
% 16.70/11.85 tff(24989,plain,
% 16.70/11.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB173, constB174)) | (v152(constB174) <=> v150(constB173)))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(24990,plain,
% 16.70/11.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB173, constB174)) | (v152(constB174) <=> v150(constB173))),
% 16.70/11.85 inference(modus_ponens,[status(thm)],[24989, 24988])).
% 16.70/11.85 tff(24991,plain,
% 16.70/11.85 (v152(constB174) <=> v150(constB173)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24990, 22607, 373])).
% 16.70/11.85 tff(24992,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB173) <=> (v153(constB173) | v154(constB173)))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(24993,plain,
% 16.70/11.85 (v150(constB173) <=> (v153(constB173) | v154(constB173))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24992, 387])).
% 16.70/11.85 tff(24994,plain,
% 16.70/11.85 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB173) <=> (~((~v130(constB173)) | (~v139(constB173)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB173) <=> (~((~v130(constB173)) | (~v139(constB173))))))),
% 16.70/11.85 inference(rewrite,[status(thm)],[])).
% 16.70/11.85 tff(24995,plain,
% 16.70/11.85 ((v153(constB173) <=> (~((~v139(constB173)) | (~v130(constB173))))) <=> (v153(constB173) <=> (~((~v130(constB173)) | (~v139(constB173)))))),
% 16.70/11.85 inference(rewrite,[status(thm)],[])).
% 16.70/11.85 tff(24996,plain,
% 16.70/11.85 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB173) <=> (~((~v139(constB173)) | (~v130(constB173)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB173) <=> (~((~v130(constB173)) | (~v139(constB173))))))),
% 16.70/11.85 inference(monotonicity,[status(thm)],[24995])).
% 16.70/11.85 tff(24997,plain,
% 16.70/11.85 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB173) <=> (~((~v139(constB173)) | (~v130(constB173)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB173) <=> (~((~v130(constB173)) | (~v139(constB173))))))),
% 16.70/11.85 inference(transitivity,[status(thm)],[24996, 24994])).
% 16.70/11.85 tff(24998,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB173) <=> (~((~v139(constB173)) | (~v130(constB173)))))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(24999,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB173) <=> (~((~v130(constB173)) | (~v139(constB173)))))),
% 16.70/11.85 inference(modus_ponens,[status(thm)],[24998, 24997])).
% 16.70/11.85 tff(25000,plain,
% 16.70/11.85 (v153(constB173) <=> (~((~v130(constB173)) | (~v139(constB173))))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[24999, 447])).
% 16.70/11.85 tff(25001,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB173)) <=> v140(constB173))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(25002,plain,
% 16.70/11.85 ((~v139(constB173)) <=> v140(constB173)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25001, 203])).
% 16.70/11.85 tff(25003,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB173) <=> (v141(constB173) | v26(constB173)))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(25004,plain,
% 16.70/11.85 (v140(constB173) <=> (v141(constB173) | v26(constB173))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25003, 212])).
% 16.70/11.85 tff(25005,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB173) <=> (~((~v39(constB173)) | (~v9(constB173)))))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(25006,plain,
% 16.70/11.85 (v141(constB173) <=> (~((~v39(constB173)) | (~v9(constB173))))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25005, 130])).
% 16.70/11.85 tff(25007,plain,
% 16.70/11.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB173, constB174)) | (v13(constB174) <=> v9(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB173, constB174)) | (v13(constB174) <=> v9(constB173)))),
% 16.70/11.85 inference(rewrite,[status(thm)],[])).
% 16.70/11.85 tff(25008,plain,
% 16.70/11.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB173, constB174)) | (v13(constB174) <=> v9(constB173)))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(25009,plain,
% 16.70/11.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB173, constB174)) | (v13(constB174) <=> v9(constB173))),
% 16.70/11.85 inference(modus_ponens,[status(thm)],[25008, 25007])).
% 16.70/11.85 tff(25010,plain,
% 16.70/11.85 (v13(constB174) <=> v9(constB173)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25009, 22607, 226])).
% 16.70/11.85 tff(25011,plain,
% 16.70/11.85 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB174) <=> v13(constB174))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(25012,plain,
% 16.70/11.85 (v6(constB174) <=> v13(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25011, 240])).
% 16.70/11.85 tff(25013,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB174)) <=> v6(constB174))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(25014,plain,
% 16.70/11.85 ((~v21(constB174)) <=> v6(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25013, 249])).
% 16.70/11.85 tff(25015,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB174) <=> (v20(constB174) | v21(constB174)))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(25016,plain,
% 16.70/11.85 (v19(constB174) <=> (v20(constB174) | v21(constB174))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25015, 258])).
% 16.70/11.85 tff(25017,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB174) <=> (~((~v19(constB174)) | (~v22(constB174)))))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(25018,plain,
% 16.70/11.85 (v18(constB174) <=> (~((~v19(constB174)) | (~v22(constB174))))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25017, 270])).
% 16.70/11.85 tff(25019,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB174)) <=> v18(constB174))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(25020,plain,
% 16.70/11.85 ((~v4(constB174)) <=> v18(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25019, 279])).
% 16.70/11.85 tff(25021,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB174)),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(25022,plain,
% 16.70/11.85 (v4(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25021, 288])).
% 16.70/11.85 tff(25023,plain,
% 16.70/11.85 ((~((~v4(constB174)) <=> v18(constB174))) | (~v4(constB174)) | (~v18(constB174))),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(25024,plain,
% 16.70/11.85 (~v18(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25023, 25022, 25020])).
% 16.70/11.85 tff(25025,plain,
% 16.70/11.85 ((~(v18(constB174) <=> (~((~v19(constB174)) | (~v22(constB174)))))) | v18(constB174) | ((~v19(constB174)) | (~v22(constB174)))),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(25026,plain,
% 16.70/11.85 ((~v19(constB174)) | (~v22(constB174))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25025, 25024, 25018])).
% 16.70/11.85 tff(25027,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB174) <=> (v1(constB174) | v6(constB174)))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(25028,plain,
% 16.70/11.85 (v22(constB174) <=> (v1(constB174) | v6(constB174))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25027, 301])).
% 16.70/11.85 tff(25029,plain,
% 16.70/11.85 ((v1(constB174) | v6(constB174)) | (~v1(constB174))),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(25030,plain,
% 16.70/11.85 (v1(constB174) | v6(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25029, 23997])).
% 16.70/11.85 tff(25031,plain,
% 16.70/11.85 ((~(v22(constB174) <=> (v1(constB174) | v6(constB174)))) | v22(constB174) | (~(v1(constB174) | v6(constB174)))),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(25032,plain,
% 16.70/11.85 ((~(v22(constB174) <=> (v1(constB174) | v6(constB174)))) | v22(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25031, 25030])).
% 16.70/11.85 tff(25033,plain,
% 16.70/11.85 (v22(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25032, 25028])).
% 16.70/11.85 tff(25034,plain,
% 16.70/11.85 ((~((~v19(constB174)) | (~v22(constB174)))) | (~v19(constB174)) | (~v22(constB174))),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(25035,plain,
% 16.70/11.85 ((~((~v19(constB174)) | (~v22(constB174)))) | (~v19(constB174))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25034, 25033])).
% 16.70/11.85 tff(25036,plain,
% 16.70/11.85 (~v19(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25035, 25026])).
% 16.70/11.85 tff(25037,plain,
% 16.70/11.85 ((~(v19(constB174) <=> (v20(constB174) | v21(constB174)))) | v19(constB174) | (~(v20(constB174) | v21(constB174)))),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(25038,plain,
% 16.70/11.85 (~(v20(constB174) | v21(constB174))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25037, 25036, 25016])).
% 16.70/11.85 tff(25039,plain,
% 16.70/11.85 ((v20(constB174) | v21(constB174)) | (~v21(constB174))),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(25040,plain,
% 16.70/11.85 (~v21(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25039, 25038])).
% 16.70/11.85 tff(25041,plain,
% 16.70/11.85 ((~((~v21(constB174)) <=> v6(constB174))) | v21(constB174) | v6(constB174)),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(25042,plain,
% 16.70/11.85 (v6(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25041, 25040, 25014])).
% 16.70/11.85 tff(25043,plain,
% 16.70/11.85 ((~(v6(constB174) <=> v13(constB174))) | (~v6(constB174)) | v13(constB174)),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(25044,plain,
% 16.70/11.85 (v13(constB174)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25043, 25042, 25012])).
% 16.70/11.85 tff(25045,plain,
% 16.70/11.85 ((~(v13(constB174) <=> v9(constB173))) | (~v13(constB174)) | v9(constB173)),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(25046,plain,
% 16.70/11.85 (v9(constB173)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25045, 25044, 25010])).
% 16.70/11.85 tff(25047,plain,
% 16.70/11.85 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB173)) <=> v1(constB173))),
% 16.70/11.85 inference(quant_inst,[status(thm)],[])).
% 16.70/11.85 tff(25048,plain,
% 16.70/11.85 ((~v39(constB173)) <=> v1(constB173)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25047, 139])).
% 16.70/11.85 tff(25049,plain,
% 16.70/11.85 ((~((~v39(constB173)) <=> v1(constB173))) | v39(constB173) | v1(constB173)),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(25050,plain,
% 16.70/11.85 ((~((~v39(constB173)) <=> v1(constB173))) | v39(constB173)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25049, 22651])).
% 16.70/11.85 tff(25051,plain,
% 16.70/11.85 (v39(constB173)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25050, 25048])).
% 16.70/11.85 tff(25052,plain,
% 16.70/11.85 ((~((~v39(constB173)) | (~v9(constB173)))) | (~v39(constB173)) | (~v9(constB173))),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(25053,plain,
% 16.70/11.85 ((~((~v39(constB173)) | (~v9(constB173)))) | (~v9(constB173))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25052, 25051])).
% 16.70/11.85 tff(25054,plain,
% 16.70/11.85 (~((~v39(constB173)) | (~v9(constB173)))),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25053, 25046])).
% 16.70/11.85 tff(25055,plain,
% 16.70/11.85 ((~(v141(constB173) <=> (~((~v39(constB173)) | (~v9(constB173)))))) | v141(constB173) | ((~v39(constB173)) | (~v9(constB173)))),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(25056,plain,
% 16.70/11.85 (v141(constB173)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25055, 25054, 25006])).
% 16.70/11.85 tff(25057,plain,
% 16.70/11.85 ((v141(constB173) | v26(constB173)) | (~v141(constB173))),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.85 tff(25058,plain,
% 16.70/11.85 (v141(constB173) | v26(constB173)),
% 16.70/11.85 inference(unit_resolution,[status(thm)],[25057, 25056])).
% 16.70/11.85 tff(25059,plain,
% 16.70/11.85 ((~(v140(constB173) <=> (v141(constB173) | v26(constB173)))) | v140(constB173) | (~(v141(constB173) | v26(constB173)))),
% 16.70/11.85 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25060,plain,
% 16.70/11.86 (v140(constB173)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25059, 25058, 25004])).
% 16.70/11.86 tff(25061,plain,
% 16.70/11.86 ((~((~v139(constB173)) <=> v140(constB173))) | (~v139(constB173)) | (~v140(constB173))),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25062,plain,
% 16.70/11.86 (~v139(constB173)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25061, 25060, 25002])).
% 16.70/11.86 tff(25063,plain,
% 16.70/11.86 (((~v130(constB173)) | (~v139(constB173))) | v139(constB173)),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25064,plain,
% 16.70/11.86 ((~v130(constB173)) | (~v139(constB173))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25063, 25062])).
% 16.70/11.86 tff(25065,plain,
% 16.70/11.86 ((~(v153(constB173) <=> (~((~v130(constB173)) | (~v139(constB173)))))) | (~v153(constB173)) | (~((~v130(constB173)) | (~v139(constB173))))),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25066,plain,
% 16.70/11.86 (~v153(constB173)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25065, 25064, 25000])).
% 16.70/11.86 tff(25067,plain,
% 16.70/11.86 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB173) <=> (~((~v132(constB173)) | (~v155(constB173)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB173) <=> (~((~v132(constB173)) | (~v155(constB173))))))),
% 16.70/11.86 inference(rewrite,[status(thm)],[])).
% 16.70/11.86 tff(25068,plain,
% 16.70/11.86 ((v154(constB173) <=> (~((~v155(constB173)) | (~v132(constB173))))) <=> (v154(constB173) <=> (~((~v132(constB173)) | (~v155(constB173)))))),
% 16.70/11.86 inference(rewrite,[status(thm)],[])).
% 16.70/11.86 tff(25069,plain,
% 16.70/11.86 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB173) <=> (~((~v155(constB173)) | (~v132(constB173)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB173) <=> (~((~v132(constB173)) | (~v155(constB173))))))),
% 16.70/11.86 inference(monotonicity,[status(thm)],[25068])).
% 16.70/11.86 tff(25070,plain,
% 16.70/11.86 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB173) <=> (~((~v155(constB173)) | (~v132(constB173)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB173) <=> (~((~v132(constB173)) | (~v155(constB173))))))),
% 16.70/11.86 inference(transitivity,[status(thm)],[25069, 25067])).
% 16.70/11.86 tff(25071,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB173) <=> (~((~v155(constB173)) | (~v132(constB173)))))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25072,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB173) <=> (~((~v132(constB173)) | (~v155(constB173)))))),
% 16.70/11.86 inference(modus_ponens,[status(thm)],[25071, 25070])).
% 16.70/11.86 tff(25073,plain,
% 16.70/11.86 (v154(constB173) <=> (~((~v132(constB173)) | (~v155(constB173))))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25072, 399])).
% 16.70/11.86 tff(25074,plain,
% 16.70/11.86 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB173) <=> v137(constB173))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25075,plain,
% 16.70/11.86 (v132(constB173) <=> v137(constB173)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25074, 558])).
% 16.70/11.86 tff(25076,plain,
% 16.70/11.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB172, constB173)) | (v137(constB173) <=> v135(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB172, constB173)) | (v137(constB173) <=> v135(constB172)))),
% 16.70/11.86 inference(rewrite,[status(thm)],[])).
% 16.70/11.86 tff(25077,plain,
% 16.70/11.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB172, constB173)) | (v137(constB173) <=> v135(constB172)))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25078,plain,
% 16.70/11.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB172, constB173)) | (v137(constB173) <=> v135(constB172))),
% 16.70/11.86 inference(modus_ponens,[status(thm)],[25077, 25076])).
% 16.70/11.86 tff(25079,plain,
% 16.70/11.86 (v137(constB173) <=> v135(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25078, 22637, 570])).
% 16.70/11.86 tff(25080,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB172) <=> (v138(constB172) | v142(constB172)))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25081,plain,
% 16.70/11.86 (v135(constB172) <=> (v138(constB172) | v142(constB172))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25080, 584])).
% 16.70/11.86 tff(25082,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB172) <=> (~((~v143(constB172)) | (~v144(constB172)))))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25083,plain,
% 16.70/11.86 (v142(constB172) <=> (~((~v143(constB172)) | (~v144(constB172))))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25082, 596])).
% 16.70/11.86 tff(25084,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB172) <=> (~((~v141(constB172)) | (~v145(constB172)))))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25085,plain,
% 16.70/11.86 (v144(constB172) <=> (~((~v141(constB172)) | (~v145(constB172))))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25084, 608])).
% 16.70/11.86 tff(25086,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25087,plain,
% 16.70/11.86 (v141(constB172) <=> (~((~v39(constB172)) | (~v9(constB172))))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25086, 130])).
% 16.70/11.86 tff(25088,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB172)) <=> v1(constB172))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25089,plain,
% 16.70/11.86 ((~v39(constB172)) <=> v1(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25088, 139])).
% 16.70/11.86 tff(25090,plain,
% 16.70/11.86 ((~((~v39(constB172)) <=> v1(constB172))) | (~v39(constB172)) | (~v1(constB172))),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25091,plain,
% 16.70/11.86 ((~((~v39(constB172)) <=> v1(constB172))) | (~v39(constB172))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25090, 23851])).
% 16.70/11.86 tff(25092,plain,
% 16.70/11.86 (~v39(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25091, 25089])).
% 16.70/11.86 tff(25093,plain,
% 16.70/11.86 (((~v39(constB172)) | (~v9(constB172))) | v39(constB172)),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25094,plain,
% 16.70/11.86 ((~v39(constB172)) | (~v9(constB172))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25093, 25092])).
% 16.70/11.86 tff(25095,plain,
% 16.70/11.86 ((~(v141(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))) | (~v141(constB172)) | (~((~v39(constB172)) | (~v9(constB172))))),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25096,plain,
% 16.70/11.86 ((~(v141(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))) | (~v141(constB172))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25095, 25094])).
% 16.70/11.86 tff(25097,plain,
% 16.70/11.86 (~v141(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25096, 25087])).
% 16.70/11.86 tff(25098,plain,
% 16.70/11.86 (((~v141(constB172)) | (~v145(constB172))) | v141(constB172)),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25099,plain,
% 16.70/11.86 ((~v141(constB172)) | (~v145(constB172))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25098, 25097])).
% 16.70/11.86 tff(25100,plain,
% 16.70/11.86 ((~(v144(constB172) <=> (~((~v141(constB172)) | (~v145(constB172)))))) | (~v144(constB172)) | (~((~v141(constB172)) | (~v145(constB172))))),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25101,plain,
% 16.70/11.86 ((~(v144(constB172) <=> (~((~v141(constB172)) | (~v145(constB172)))))) | (~v144(constB172))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25100, 25099])).
% 16.70/11.86 tff(25102,plain,
% 16.70/11.86 (~v144(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25101, 25085])).
% 16.70/11.86 tff(25103,plain,
% 16.70/11.86 (((~v143(constB172)) | (~v144(constB172))) | v144(constB172)),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25104,plain,
% 16.70/11.86 ((~v143(constB172)) | (~v144(constB172))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25103, 25102])).
% 16.70/11.86 tff(25105,plain,
% 16.70/11.86 ((~(v142(constB172) <=> (~((~v143(constB172)) | (~v144(constB172)))))) | (~v142(constB172)) | (~((~v143(constB172)) | (~v144(constB172))))),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25106,plain,
% 16.70/11.86 (~v142(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25105, 25104, 25083])).
% 16.70/11.86 tff(25107,plain,
% 16.70/11.86 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB172) <=> (~((~v132(constB172)) | (~v139(constB172)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB172) <=> (~((~v132(constB172)) | (~v139(constB172))))))),
% 16.70/11.86 inference(rewrite,[status(thm)],[])).
% 16.70/11.86 tff(25108,plain,
% 16.70/11.86 ((v138(constB172) <=> (~((~v139(constB172)) | (~v132(constB172))))) <=> (v138(constB172) <=> (~((~v132(constB172)) | (~v139(constB172)))))),
% 16.70/11.86 inference(rewrite,[status(thm)],[])).
% 16.70/11.86 tff(25109,plain,
% 16.70/11.86 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB172) <=> (~((~v139(constB172)) | (~v132(constB172)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB172) <=> (~((~v132(constB172)) | (~v139(constB172))))))),
% 16.70/11.86 inference(monotonicity,[status(thm)],[25108])).
% 16.70/11.86 tff(25110,plain,
% 16.70/11.86 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB172) <=> (~((~v139(constB172)) | (~v132(constB172)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB172) <=> (~((~v132(constB172)) | (~v139(constB172))))))),
% 16.70/11.86 inference(transitivity,[status(thm)],[25109, 25107])).
% 16.70/11.86 tff(25111,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB172) <=> (~((~v139(constB172)) | (~v132(constB172)))))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25112,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB172) <=> (~((~v132(constB172)) | (~v139(constB172)))))),
% 16.70/11.86 inference(modus_ponens,[status(thm)],[25111, 25110])).
% 16.70/11.86 tff(25113,plain,
% 16.70/11.86 (v138(constB172) <=> (~((~v132(constB172)) | (~v139(constB172))))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25112, 644])).
% 16.70/11.86 tff(25114,plain,
% 16.70/11.86 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB172) <=> v137(constB172))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25115,plain,
% 16.70/11.86 (v132(constB172) <=> v137(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25114, 558])).
% 16.70/11.86 tff(25116,plain,
% 16.70/11.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB171, constB172)) | (v137(constB172) <=> v135(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB171, constB172)) | (v137(constB172) <=> v135(constB171)))),
% 16.70/11.86 inference(rewrite,[status(thm)],[])).
% 16.70/11.86 tff(25117,plain,
% 16.70/11.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB171, constB172)) | (v137(constB172) <=> v135(constB171)))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25118,plain,
% 16.70/11.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB171, constB172)) | (v137(constB172) <=> v135(constB171))),
% 16.70/11.86 inference(modus_ponens,[status(thm)],[25117, 25116])).
% 16.70/11.86 tff(25119,plain,
% 16.70/11.86 (v137(constB172) <=> v135(constB171)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25118, 22673, 570])).
% 16.70/11.86 tff(25120,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB171) <=> (v138(constB171) | v142(constB171)))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25121,plain,
% 16.70/11.86 (v135(constB171) <=> (v138(constB171) | v142(constB171))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25120, 584])).
% 16.70/11.86 tff(25122,plain,
% 16.70/11.86 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB171) <=> (~((~v132(constB171)) | (~v139(constB171)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB171) <=> (~((~v132(constB171)) | (~v139(constB171))))))),
% 16.70/11.86 inference(rewrite,[status(thm)],[])).
% 16.70/11.86 tff(25123,plain,
% 16.70/11.86 ((v138(constB171) <=> (~((~v139(constB171)) | (~v132(constB171))))) <=> (v138(constB171) <=> (~((~v132(constB171)) | (~v139(constB171)))))),
% 16.70/11.86 inference(rewrite,[status(thm)],[])).
% 16.70/11.86 tff(25124,plain,
% 16.70/11.86 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB171) <=> (~((~v139(constB171)) | (~v132(constB171)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB171) <=> (~((~v132(constB171)) | (~v139(constB171))))))),
% 16.70/11.86 inference(monotonicity,[status(thm)],[25123])).
% 16.70/11.86 tff(25125,plain,
% 16.70/11.86 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB171) <=> (~((~v139(constB171)) | (~v132(constB171)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB171) <=> (~((~v132(constB171)) | (~v139(constB171))))))),
% 16.70/11.86 inference(transitivity,[status(thm)],[25124, 25122])).
% 16.70/11.86 tff(25126,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB171) <=> (~((~v139(constB171)) | (~v132(constB171)))))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25127,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB171) <=> (~((~v132(constB171)) | (~v139(constB171)))))),
% 16.70/11.86 inference(modus_ponens,[status(thm)],[25126, 25125])).
% 16.70/11.86 tff(25128,plain,
% 16.70/11.86 (v138(constB171) <=> (~((~v132(constB171)) | (~v139(constB171))))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25127, 644])).
% 16.70/11.86 tff(25129,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB171)) <=> v140(constB171))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25130,plain,
% 16.70/11.86 ((~v139(constB171)) <=> v140(constB171)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25129, 203])).
% 16.70/11.86 tff(25131,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB171) <=> (v141(constB171) | v26(constB171)))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25132,plain,
% 16.70/11.86 (v140(constB171) <=> (v141(constB171) | v26(constB171))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25131, 212])).
% 16.70/11.86 tff(25133,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB171) <=> (~((~v39(constB171)) | (~v9(constB171)))))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25134,plain,
% 16.70/11.86 (v141(constB171) <=> (~((~v39(constB171)) | (~v9(constB171))))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25133, 130])).
% 16.70/11.86 tff(25135,plain,
% 16.70/11.86 (((~![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)))),
% 16.70/11.86 inference(rewrite,[status(thm)],[])).
% 16.70/11.86 tff(25136,plain,
% 16.70/11.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25137,plain,
% 16.70/11.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171))),
% 16.70/11.86 inference(modus_ponens,[status(thm)],[25136, 25135])).
% 16.70/11.86 tff(25138,plain,
% 16.70/11.86 (v13(constB172) <=> v9(constB171)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25137, 22673, 226])).
% 16.70/11.86 tff(25139,plain,
% 16.70/11.86 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB172) <=> v13(constB172))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25140,plain,
% 16.70/11.86 (v6(constB172) <=> v13(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25139, 240])).
% 16.70/11.86 tff(25141,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB172)) <=> v6(constB172))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25142,plain,
% 16.70/11.86 ((~v21(constB172)) <=> v6(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25141, 249])).
% 16.70/11.86 tff(25143,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB172) <=> (v20(constB172) | v21(constB172)))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25144,plain,
% 16.70/11.86 (v19(constB172) <=> (v20(constB172) | v21(constB172))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25143, 258])).
% 16.70/11.86 tff(25145,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172)))))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25146,plain,
% 16.70/11.86 (v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172))))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25145, 270])).
% 16.70/11.86 tff(25147,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB172)) <=> v18(constB172))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25148,plain,
% 16.70/11.86 ((~v4(constB172)) <=> v18(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25147, 279])).
% 16.70/11.86 tff(25149,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB172)),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25150,plain,
% 16.70/11.86 (v4(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25149, 288])).
% 16.70/11.86 tff(25151,plain,
% 16.70/11.86 ((~((~v4(constB172)) <=> v18(constB172))) | (~v4(constB172)) | (~v18(constB172))),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25152,plain,
% 16.70/11.86 (~v18(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25151, 25150, 25148])).
% 16.70/11.86 tff(25153,plain,
% 16.70/11.86 ((~(v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172)))))) | v18(constB172) | ((~v19(constB172)) | (~v22(constB172)))),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25154,plain,
% 16.70/11.86 ((~v19(constB172)) | (~v22(constB172))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25153, 25152, 25146])).
% 16.70/11.86 tff(25155,plain,
% 16.70/11.86 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB172) <=> (v1(constB172) | v6(constB172)))),
% 16.70/11.86 inference(quant_inst,[status(thm)],[])).
% 16.70/11.86 tff(25156,plain,
% 16.70/11.86 (v22(constB172) <=> (v1(constB172) | v6(constB172))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25155, 301])).
% 16.70/11.86 tff(25157,plain,
% 16.70/11.86 ((v1(constB172) | v6(constB172)) | (~v1(constB172))),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25158,plain,
% 16.70/11.86 (v1(constB172) | v6(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25157, 23851])).
% 16.70/11.86 tff(25159,plain,
% 16.70/11.86 ((~(v22(constB172) <=> (v1(constB172) | v6(constB172)))) | v22(constB172) | (~(v1(constB172) | v6(constB172)))),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25160,plain,
% 16.70/11.86 ((~(v22(constB172) <=> (v1(constB172) | v6(constB172)))) | v22(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25159, 25158])).
% 16.70/11.86 tff(25161,plain,
% 16.70/11.86 (v22(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25160, 25156])).
% 16.70/11.86 tff(25162,plain,
% 16.70/11.86 ((~((~v19(constB172)) | (~v22(constB172)))) | (~v19(constB172)) | (~v22(constB172))),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.86 tff(25163,plain,
% 16.70/11.86 ((~((~v19(constB172)) | (~v22(constB172)))) | (~v19(constB172))),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25162, 25161])).
% 16.70/11.86 tff(25164,plain,
% 16.70/11.86 (~v19(constB172)),
% 16.70/11.86 inference(unit_resolution,[status(thm)],[25163, 25154])).
% 16.70/11.86 tff(25165,plain,
% 16.70/11.86 ((~(v19(constB172) <=> (v20(constB172) | v21(constB172)))) | v19(constB172) | (~(v20(constB172) | v21(constB172)))),
% 16.70/11.86 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25166,plain,
% 16.70/11.87 (~(v20(constB172) | v21(constB172))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25165, 25164, 25144])).
% 16.70/11.87 tff(25167,plain,
% 16.70/11.87 ((v20(constB172) | v21(constB172)) | (~v21(constB172))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25168,plain,
% 16.70/11.87 (~v21(constB172)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25167, 25166])).
% 16.70/11.87 tff(25169,plain,
% 16.70/11.87 ((~((~v21(constB172)) <=> v6(constB172))) | v21(constB172) | v6(constB172)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25170,plain,
% 16.70/11.87 (v6(constB172)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25169, 25168, 25142])).
% 16.70/11.87 tff(25171,plain,
% 16.70/11.87 ((~(v6(constB172) <=> v13(constB172))) | (~v6(constB172)) | v13(constB172)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25172,plain,
% 16.70/11.87 (v13(constB172)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25171, 25170, 25140])).
% 16.70/11.87 tff(25173,plain,
% 16.70/11.87 ((~(v13(constB172) <=> v9(constB171))) | (~v13(constB172)) | v9(constB171)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25174,plain,
% 16.70/11.87 (v9(constB171)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25173, 25172, 25138])).
% 16.70/11.87 tff(25175,plain,
% 16.70/11.87 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB171)) <=> v1(constB171))),
% 16.70/11.87 inference(quant_inst,[status(thm)],[])).
% 16.70/11.87 tff(25176,plain,
% 16.70/11.87 ((~v39(constB171)) <=> v1(constB171)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25175, 139])).
% 16.70/11.87 tff(25177,plain,
% 16.70/11.87 ((~((~v39(constB171)) <=> v1(constB171))) | v39(constB171) | v1(constB171)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25178,plain,
% 16.70/11.87 ((~((~v39(constB171)) <=> v1(constB171))) | v39(constB171)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25177, 22712])).
% 16.70/11.87 tff(25179,plain,
% 16.70/11.87 (v39(constB171)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25178, 25176])).
% 16.70/11.87 tff(25180,plain,
% 16.70/11.87 ((~((~v39(constB171)) | (~v9(constB171)))) | (~v39(constB171)) | (~v9(constB171))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25181,plain,
% 16.70/11.87 ((~((~v39(constB171)) | (~v9(constB171)))) | (~v9(constB171))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25180, 25179])).
% 16.70/11.87 tff(25182,plain,
% 16.70/11.87 (~((~v39(constB171)) | (~v9(constB171)))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25181, 25174])).
% 16.70/11.87 tff(25183,plain,
% 16.70/11.87 ((~(v141(constB171) <=> (~((~v39(constB171)) | (~v9(constB171)))))) | v141(constB171) | ((~v39(constB171)) | (~v9(constB171)))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25184,plain,
% 16.70/11.87 (v141(constB171)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25183, 25182, 25134])).
% 16.70/11.87 tff(25185,plain,
% 16.70/11.87 ((v141(constB171) | v26(constB171)) | (~v141(constB171))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25186,plain,
% 16.70/11.87 (v141(constB171) | v26(constB171)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25185, 25184])).
% 16.70/11.87 tff(25187,plain,
% 16.70/11.87 ((~(v140(constB171) <=> (v141(constB171) | v26(constB171)))) | v140(constB171) | (~(v141(constB171) | v26(constB171)))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25188,plain,
% 16.70/11.87 (v140(constB171)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25187, 25186, 25132])).
% 16.70/11.87 tff(25189,plain,
% 16.70/11.87 ((~((~v139(constB171)) <=> v140(constB171))) | (~v139(constB171)) | (~v140(constB171))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25190,plain,
% 16.70/11.87 (~v139(constB171)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25189, 25188, 25130])).
% 16.70/11.87 tff(25191,plain,
% 16.70/11.87 (((~v132(constB171)) | (~v139(constB171))) | v139(constB171)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25192,plain,
% 16.70/11.87 ((~v132(constB171)) | (~v139(constB171))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25191, 25190])).
% 16.70/11.87 tff(25193,plain,
% 16.70/11.87 ((~(v138(constB171) <=> (~((~v132(constB171)) | (~v139(constB171)))))) | (~v138(constB171)) | (~((~v132(constB171)) | (~v139(constB171))))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25194,plain,
% 16.70/11.87 (~v138(constB171)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25193, 25192, 25128])).
% 16.70/11.87 tff(25195,plain,
% 16.70/11.87 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB171) <=> (~((~v143(constB171)) | (~v144(constB171)))))),
% 16.70/11.87 inference(quant_inst,[status(thm)],[])).
% 16.70/11.87 tff(25196,plain,
% 16.70/11.87 (v142(constB171) <=> (~((~v143(constB171)) | (~v144(constB171))))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25195, 596])).
% 16.70/11.87 tff(25197,plain,
% 16.70/11.87 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB171) <=> (~((~v141(constB171)) | (~v145(constB171)))))),
% 16.70/11.87 inference(quant_inst,[status(thm)],[])).
% 16.70/11.87 tff(25198,plain,
% 16.70/11.87 (v144(constB171) <=> (~((~v141(constB171)) | (~v145(constB171))))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25197, 608])).
% 16.70/11.87 tff(25199,plain,
% 16.70/11.87 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB171) <=> (~(v84(constB171, 1) | v84(constB171, 2) | (~v84(constB171, 0)))))),
% 16.70/11.87 inference(quant_inst,[status(thm)],[])).
% 16.70/11.87 tff(25200,plain,
% 16.70/11.87 (v145(constB171) <=> (~(v84(constB171, 1) | v84(constB171, 2) | (~v84(constB171, 0))))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25199, 755])).
% 16.70/11.87 tff(25201,plain,
% 16.70/11.87 ((v84(constB171, 1) | v84(constB171, 2) | (~v84(constB171, 0))) | (~v84(constB171, 1))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25202,plain,
% 16.70/11.87 (v84(constB171, 1) | v84(constB171, 2) | (~v84(constB171, 0))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25201, 23809])).
% 16.70/11.87 tff(25203,plain,
% 16.70/11.87 ((~(v145(constB171) <=> (~(v84(constB171, 1) | v84(constB171, 2) | (~v84(constB171, 0)))))) | (~v145(constB171)) | (~(v84(constB171, 1) | v84(constB171, 2) | (~v84(constB171, 0))))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25204,plain,
% 16.70/11.87 (~v145(constB171)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25203, 25202, 25200])).
% 16.70/11.87 tff(25205,plain,
% 16.70/11.87 (((~v141(constB171)) | (~v145(constB171))) | v145(constB171)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25206,plain,
% 16.70/11.87 ((~v141(constB171)) | (~v145(constB171))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25205, 25204])).
% 16.70/11.87 tff(25207,plain,
% 16.70/11.87 ((~(v144(constB171) <=> (~((~v141(constB171)) | (~v145(constB171)))))) | (~v144(constB171)) | (~((~v141(constB171)) | (~v145(constB171))))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25208,plain,
% 16.70/11.87 (~v144(constB171)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25207, 25206, 25198])).
% 16.70/11.87 tff(25209,plain,
% 16.70/11.87 (((~v143(constB171)) | (~v144(constB171))) | v144(constB171)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25210,plain,
% 16.70/11.87 ((~v143(constB171)) | (~v144(constB171))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25209, 25208])).
% 16.70/11.87 tff(25211,plain,
% 16.70/11.87 ((~(v142(constB171) <=> (~((~v143(constB171)) | (~v144(constB171)))))) | (~v142(constB171)) | (~((~v143(constB171)) | (~v144(constB171))))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25212,plain,
% 16.70/11.87 (~v142(constB171)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25211, 25210, 25196])).
% 16.70/11.87 tff(25213,plain,
% 16.70/11.87 ((~(v138(constB171) | v142(constB171))) | v138(constB171) | v142(constB171)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25214,plain,
% 16.70/11.87 (~(v138(constB171) | v142(constB171))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25213, 25212, 25194])).
% 16.70/11.87 tff(25215,plain,
% 16.70/11.87 ((~(v135(constB171) <=> (v138(constB171) | v142(constB171)))) | (~v135(constB171)) | (v138(constB171) | v142(constB171))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25216,plain,
% 16.70/11.87 (~v135(constB171)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25215, 25214, 25121])).
% 16.70/11.87 tff(25217,plain,
% 16.70/11.87 ((~(v137(constB172) <=> v135(constB171))) | (~v137(constB172)) | v135(constB171)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25218,plain,
% 16.70/11.87 (~v137(constB172)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25217, 25216, 25119])).
% 16.70/11.87 tff(25219,plain,
% 16.70/11.87 ((~(v132(constB172) <=> v137(constB172))) | (~v132(constB172)) | v137(constB172)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25220,plain,
% 16.70/11.87 (~v132(constB172)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25219, 25218, 25115])).
% 16.70/11.87 tff(25221,plain,
% 16.70/11.87 (((~v132(constB172)) | (~v139(constB172))) | v132(constB172)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25222,plain,
% 16.70/11.87 ((~v132(constB172)) | (~v139(constB172))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25221, 25220])).
% 16.70/11.87 tff(25223,plain,
% 16.70/11.87 ((~(v138(constB172) <=> (~((~v132(constB172)) | (~v139(constB172)))))) | (~v138(constB172)) | (~((~v132(constB172)) | (~v139(constB172))))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25224,plain,
% 16.70/11.87 (~v138(constB172)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25223, 25222, 25113])).
% 16.70/11.87 tff(25225,plain,
% 16.70/11.87 ((~(v138(constB172) | v142(constB172))) | v138(constB172) | v142(constB172)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25226,plain,
% 16.70/11.87 (~(v138(constB172) | v142(constB172))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25225, 25224, 25106])).
% 16.70/11.87 tff(25227,plain,
% 16.70/11.87 ((~(v135(constB172) <=> (v138(constB172) | v142(constB172)))) | (~v135(constB172)) | (v138(constB172) | v142(constB172))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25228,plain,
% 16.70/11.87 (~v135(constB172)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25227, 25226, 25081])).
% 16.70/11.87 tff(25229,plain,
% 16.70/11.87 ((~(v137(constB173) <=> v135(constB172))) | (~v137(constB173)) | v135(constB172)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25230,plain,
% 16.70/11.87 (~v137(constB173)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25229, 25228, 25079])).
% 16.70/11.87 tff(25231,plain,
% 16.70/11.87 ((~(v132(constB173) <=> v137(constB173))) | (~v132(constB173)) | v137(constB173)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25232,plain,
% 16.70/11.87 (~v132(constB173)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25231, 25230, 25075])).
% 16.70/11.87 tff(25233,plain,
% 16.70/11.87 (((~v132(constB173)) | (~v155(constB173))) | v132(constB173)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25234,plain,
% 16.70/11.87 ((~v132(constB173)) | (~v155(constB173))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25233, 25232])).
% 16.70/11.87 tff(25235,plain,
% 16.70/11.87 ((~(v154(constB173) <=> (~((~v132(constB173)) | (~v155(constB173)))))) | (~v154(constB173)) | (~((~v132(constB173)) | (~v155(constB173))))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25236,plain,
% 16.70/11.87 (~v154(constB173)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25235, 25234, 25073])).
% 16.70/11.87 tff(25237,plain,
% 16.70/11.87 ((~(v153(constB173) | v154(constB173))) | v153(constB173) | v154(constB173)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25238,plain,
% 16.70/11.87 (~(v153(constB173) | v154(constB173))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25237, 25236, 25066])).
% 16.70/11.87 tff(25239,plain,
% 16.70/11.87 ((~(v150(constB173) <=> (v153(constB173) | v154(constB173)))) | (~v150(constB173)) | (v153(constB173) | v154(constB173))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25240,plain,
% 16.70/11.87 (~v150(constB173)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25239, 25238, 24993])).
% 16.70/11.87 tff(25241,plain,
% 16.70/11.87 ((~(v152(constB174) <=> v150(constB173))) | (~v152(constB174)) | v150(constB173)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25242,plain,
% 16.70/11.87 (~v152(constB174)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25241, 25240, 24991])).
% 16.70/11.87 tff(25243,plain,
% 16.70/11.87 ((~(v130(constB174) <=> v152(constB174))) | (~v130(constB174)) | v152(constB174)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25244,plain,
% 16.70/11.87 (~v130(constB174)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25243, 25242, 24987])).
% 16.70/11.87 tff(25245,plain,
% 16.70/11.87 (((~v130(constB174)) | (~v139(constB174))) | v130(constB174)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25246,plain,
% 16.70/11.87 ((~v130(constB174)) | (~v139(constB174))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25245, 25244])).
% 16.70/11.87 tff(25247,plain,
% 16.70/11.87 ((~(v153(constB174) <=> (~((~v130(constB174)) | (~v139(constB174)))))) | (~v153(constB174)) | (~((~v130(constB174)) | (~v139(constB174))))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25248,plain,
% 16.70/11.87 (~v153(constB174)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25247, 25246, 24985])).
% 16.70/11.87 tff(25249,plain,
% 16.70/11.87 ((~(v153(constB174) | v154(constB174))) | v153(constB174) | v154(constB174)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25250,plain,
% 16.70/11.87 (~(v153(constB174) | v154(constB174))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25249, 25248, 24978])).
% 16.70/11.87 tff(25251,plain,
% 16.70/11.87 ((~(v150(constB174) <=> (v153(constB174) | v154(constB174)))) | (~v150(constB174)) | (v153(constB174) | v154(constB174))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25252,plain,
% 16.70/11.87 (~v150(constB174)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25251, 25250, 24943])).
% 16.70/11.87 tff(25253,plain,
% 16.70/11.87 ((~(v152(constB175) <=> v150(constB174))) | (~v152(constB175)) | v150(constB174)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25254,plain,
% 16.70/11.87 (~v152(constB175)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25253, 25252, 24941])).
% 16.70/11.87 tff(25255,plain,
% 16.70/11.87 ((~(v130(constB175) <=> v152(constB175))) | (~v130(constB175)) | v152(constB175)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25256,plain,
% 16.70/11.87 (~v130(constB175)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25255, 25254, 24937])).
% 16.70/11.87 tff(25257,plain,
% 16.70/11.87 (((~v130(constB175)) | (~v155(constB175))) | v130(constB175)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25258,plain,
% 16.70/11.87 ((~v130(constB175)) | (~v155(constB175))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25257, 25256])).
% 16.70/11.87 tff(25259,plain,
% 16.70/11.87 ((~(v164(constB175) <=> (~((~v130(constB175)) | (~v155(constB175)))))) | (~v164(constB175)) | (~((~v130(constB175)) | (~v155(constB175))))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25260,plain,
% 16.70/11.87 (~v164(constB175)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25259, 25258, 24935])).
% 16.70/11.87 tff(25261,plain,
% 16.70/11.87 ((~(v163(constB175) | v164(constB175))) | v163(constB175) | v164(constB175)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25262,plain,
% 16.70/11.87 (~(v163(constB175) | v164(constB175))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25261, 25260, 24928])).
% 16.70/11.87 tff(25263,plain,
% 16.70/11.87 ((~(v160(constB175) <=> (v163(constB175) | v164(constB175)))) | (~v160(constB175)) | (v163(constB175) | v164(constB175))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25264,plain,
% 16.70/11.87 (~v160(constB175)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25263, 25262, 24855])).
% 16.70/11.87 tff(25265,plain,
% 16.70/11.87 ((~(v162(constB176) <=> v160(constB175))) | (~v162(constB176)) | v160(constB175)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25266,plain,
% 16.70/11.87 (~v162(constB176)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25265, 25264, 24853])).
% 16.70/11.87 tff(25267,plain,
% 16.70/11.87 ((~(v128(constB176) <=> v162(constB176))) | (~v128(constB176)) | v162(constB176)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25268,plain,
% 16.70/11.87 (~v128(constB176)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25267, 25266, 24849])).
% 16.70/11.87 tff(25269,plain,
% 16.70/11.87 (((~v128(constB176)) | (~v139(constB176))) | v128(constB176)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25270,plain,
% 16.70/11.87 ((~v128(constB176)) | (~v139(constB176))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25269, 25268])).
% 16.70/11.87 tff(25271,plain,
% 16.70/11.87 ((~(v163(constB176) <=> (~((~v128(constB176)) | (~v139(constB176)))))) | (~v163(constB176)) | (~((~v128(constB176)) | (~v139(constB176))))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25272,plain,
% 16.70/11.87 (~v163(constB176)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25271, 25270, 24847])).
% 16.70/11.87 tff(25273,plain,
% 16.70/11.87 ((~(v163(constB176) | v164(constB176))) | v163(constB176) | v164(constB176)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25274,plain,
% 16.70/11.87 (~(v163(constB176) | v164(constB176))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25273, 25272, 24840])).
% 16.70/11.87 tff(25275,plain,
% 16.70/11.87 ((~(v160(constB176) <=> (v163(constB176) | v164(constB176)))) | (~v160(constB176)) | (v163(constB176) | v164(constB176))),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25276,plain,
% 16.70/11.87 (~v160(constB176)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25275, 25274, 24805])).
% 16.70/11.87 tff(25277,plain,
% 16.70/11.87 ((~(v162(constB177) <=> v160(constB176))) | (~v162(constB177)) | v160(constB176)),
% 16.70/11.87 inference(tautology,[status(thm)],[])).
% 16.70/11.87 tff(25278,plain,
% 16.70/11.87 (~v162(constB177)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25277, 25276, 24803])).
% 16.70/11.87 tff(25279,plain,
% 16.70/11.87 ($false),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25278, 24799])).
% 16.70/11.87 tff(25280,plain,(~(constB177 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.70/11.87 tff(25281,assumption,(constB129 = VarCurr!0), introduced(assumption)).
% 16.70/11.87 tff(25282,plain,
% 16.70/11.87 (v162(constB129) <=> v162(VarCurr!0)),
% 16.70/11.87 inference(monotonicity,[status(thm)],[25281])).
% 16.70/11.87 tff(25283,plain,
% 16.70/11.87 (v162(VarCurr!0) <=> v162(constB129)),
% 16.70/11.87 inference(symmetry,[status(thm)],[25282])).
% 16.70/11.87 tff(25284,plain,
% 16.70/11.87 (v162(constB129)),
% 16.70/11.87 inference(modus_ponens,[status(thm)],[59, 25283])).
% 16.70/11.87 tff(25285,plain,
% 16.70/11.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB128, constB129)) | (v162(constB129) <=> v160(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB128, constB129)) | (v162(constB129) <=> v160(constB128)))),
% 16.70/11.87 inference(rewrite,[status(thm)],[])).
% 16.70/11.87 tff(25286,plain,
% 16.70/11.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB128, constB129)) | (v162(constB129) <=> v160(constB128)))),
% 16.70/11.87 inference(quant_inst,[status(thm)],[])).
% 16.70/11.87 tff(25287,plain,
% 16.70/11.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB128, constB129)) | (v162(constB129) <=> v160(constB128))),
% 16.70/11.87 inference(modus_ponens,[status(thm)],[25286, 25285])).
% 16.70/11.87 tff(25288,plain,
% 16.70/11.87 (v162(constB129) <=> v160(constB128)),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25287, 15700, 70])).
% 16.70/11.87 tff(25289,plain,
% 16.70/11.87 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB128) <=> (v163(constB128) | v164(constB128)))),
% 16.70/11.87 inference(quant_inst,[status(thm)],[])).
% 16.70/11.87 tff(25290,plain,
% 16.70/11.87 (v160(constB128) <=> (v163(constB128) | v164(constB128))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25289, 84])).
% 16.70/11.87 tff(25291,plain,
% 16.70/11.87 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB128) <=> (~((~v130(constB128)) | (~v155(constB128)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB128) <=> (~((~v130(constB128)) | (~v155(constB128))))))),
% 16.70/11.87 inference(rewrite,[status(thm)],[])).
% 16.70/11.87 tff(25292,plain,
% 16.70/11.87 ((v164(constB128) <=> (~((~v155(constB128)) | (~v130(constB128))))) <=> (v164(constB128) <=> (~((~v130(constB128)) | (~v155(constB128)))))),
% 16.70/11.87 inference(rewrite,[status(thm)],[])).
% 16.70/11.87 tff(25293,plain,
% 16.70/11.87 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB128) <=> (~((~v155(constB128)) | (~v130(constB128)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB128) <=> (~((~v130(constB128)) | (~v155(constB128))))))),
% 16.70/11.87 inference(monotonicity,[status(thm)],[25292])).
% 16.70/11.87 tff(25294,plain,
% 16.70/11.87 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB128) <=> (~((~v155(constB128)) | (~v130(constB128)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB128) <=> (~((~v130(constB128)) | (~v155(constB128))))))),
% 16.70/11.87 inference(transitivity,[status(thm)],[25293, 25291])).
% 16.70/11.87 tff(25295,plain,
% 16.70/11.87 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB128) <=> (~((~v155(constB128)) | (~v130(constB128)))))),
% 16.70/11.87 inference(quant_inst,[status(thm)],[])).
% 16.70/11.87 tff(25296,plain,
% 16.70/11.87 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB128) <=> (~((~v130(constB128)) | (~v155(constB128)))))),
% 16.70/11.87 inference(modus_ponens,[status(thm)],[25295, 25294])).
% 16.70/11.87 tff(25297,plain,
% 16.70/11.87 (v164(constB128) <=> (~((~v130(constB128)) | (~v155(constB128))))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25296, 96])).
% 16.70/11.87 tff(25298,plain,
% 16.70/11.87 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB128) <=> (~((~v141(constB128)) | (~v143(constB128)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB128) <=> (~((~v141(constB128)) | (~v143(constB128))))))),
% 16.70/11.87 inference(rewrite,[status(thm)],[])).
% 16.70/11.87 tff(25299,plain,
% 16.70/11.87 ((v155(constB128) <=> (~((~v143(constB128)) | (~v141(constB128))))) <=> (v155(constB128) <=> (~((~v141(constB128)) | (~v143(constB128)))))),
% 16.70/11.87 inference(rewrite,[status(thm)],[])).
% 16.70/11.87 tff(25300,plain,
% 16.70/11.87 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB128) <=> (~((~v143(constB128)) | (~v141(constB128)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB128) <=> (~((~v141(constB128)) | (~v143(constB128))))))),
% 16.70/11.87 inference(monotonicity,[status(thm)],[25299])).
% 16.70/11.87 tff(25301,plain,
% 16.70/11.87 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB128) <=> (~((~v143(constB128)) | (~v141(constB128)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB128) <=> (~((~v141(constB128)) | (~v143(constB128))))))),
% 16.70/11.87 inference(transitivity,[status(thm)],[25300, 25298])).
% 16.70/11.87 tff(25302,plain,
% 16.70/11.87 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB128) <=> (~((~v143(constB128)) | (~v141(constB128)))))),
% 16.70/11.87 inference(quant_inst,[status(thm)],[])).
% 16.70/11.87 tff(25303,plain,
% 16.70/11.87 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB128) <=> (~((~v141(constB128)) | (~v143(constB128)))))),
% 16.70/11.87 inference(modus_ponens,[status(thm)],[25302, 25301])).
% 16.70/11.87 tff(25304,plain,
% 16.70/11.87 (v155(constB128) <=> (~((~v141(constB128)) | (~v143(constB128))))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25303, 113])).
% 16.70/11.87 tff(25305,plain,
% 16.70/11.87 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB128) <=> (~((~v39(constB128)) | (~v9(constB128)))))),
% 16.70/11.87 inference(quant_inst,[status(thm)],[])).
% 16.70/11.87 tff(25306,plain,
% 16.70/11.87 (v141(constB128) <=> (~((~v39(constB128)) | (~v9(constB128))))),
% 16.70/11.87 inference(unit_resolution,[status(thm)],[25305, 130])).
% 16.70/11.87 tff(25307,plain,
% 16.70/11.87 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB128)) <=> v1(constB128))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25308,plain,
% 16.70/11.88 ((~v39(constB128)) <=> v1(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25307, 139])).
% 16.70/11.88 tff(25309,plain,
% 16.70/11.88 ((~((~v39(constB128)) <=> v1(constB128))) | (~v39(constB128)) | (~v1(constB128))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25310,plain,
% 16.70/11.88 ((~((~v39(constB128)) <=> v1(constB128))) | (~v39(constB128))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25309, 18690])).
% 16.70/11.88 tff(25311,plain,
% 16.70/11.88 (~v39(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25310, 25308])).
% 16.70/11.88 tff(25312,plain,
% 16.70/11.88 (((~v39(constB128)) | (~v9(constB128))) | v39(constB128)),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25313,plain,
% 16.70/11.88 ((~v39(constB128)) | (~v9(constB128))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25312, 25311])).
% 16.70/11.88 tff(25314,plain,
% 16.70/11.88 ((~(v141(constB128) <=> (~((~v39(constB128)) | (~v9(constB128)))))) | (~v141(constB128)) | (~((~v39(constB128)) | (~v9(constB128))))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25315,plain,
% 16.70/11.88 ((~(v141(constB128) <=> (~((~v39(constB128)) | (~v9(constB128)))))) | (~v141(constB128))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25314, 25313])).
% 16.70/11.88 tff(25316,plain,
% 16.70/11.88 (~v141(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25315, 25306])).
% 16.70/11.88 tff(25317,plain,
% 16.70/11.88 (((~v141(constB128)) | (~v143(constB128))) | v141(constB128)),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25318,plain,
% 16.70/11.88 ((~v141(constB128)) | (~v143(constB128))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25317, 25316])).
% 16.70/11.88 tff(25319,plain,
% 16.70/11.88 ((~(v155(constB128) <=> (~((~v141(constB128)) | (~v143(constB128)))))) | (~v155(constB128)) | (~((~v141(constB128)) | (~v143(constB128))))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25320,plain,
% 16.70/11.88 ((~(v155(constB128) <=> (~((~v141(constB128)) | (~v143(constB128)))))) | (~v155(constB128))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25319, 25318])).
% 16.70/11.88 tff(25321,plain,
% 16.70/11.88 (~v155(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25320, 25304])).
% 16.70/11.88 tff(25322,plain,
% 16.70/11.88 (((~v130(constB128)) | (~v155(constB128))) | v155(constB128)),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25323,plain,
% 16.70/11.88 ((~v130(constB128)) | (~v155(constB128))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25322, 25321])).
% 16.70/11.88 tff(25324,plain,
% 16.70/11.88 ((~(v164(constB128) <=> (~((~v130(constB128)) | (~v155(constB128)))))) | (~v164(constB128)) | (~((~v130(constB128)) | (~v155(constB128))))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25325,plain,
% 16.70/11.88 (~v164(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25324, 25323, 25297])).
% 16.70/11.88 tff(25326,plain,
% 16.70/11.88 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB128) <=> (~((~v128(constB128)) | (~v139(constB128)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB128) <=> (~((~v128(constB128)) | (~v139(constB128))))))),
% 16.70/11.88 inference(rewrite,[status(thm)],[])).
% 16.70/11.88 tff(25327,plain,
% 16.70/11.88 ((v163(constB128) <=> (~((~v139(constB128)) | (~v128(constB128))))) <=> (v163(constB128) <=> (~((~v128(constB128)) | (~v139(constB128)))))),
% 16.70/11.88 inference(rewrite,[status(thm)],[])).
% 16.70/11.88 tff(25328,plain,
% 16.70/11.88 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB128) <=> (~((~v139(constB128)) | (~v128(constB128)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB128) <=> (~((~v128(constB128)) | (~v139(constB128))))))),
% 16.70/11.88 inference(monotonicity,[status(thm)],[25327])).
% 16.70/11.88 tff(25329,plain,
% 16.70/11.88 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB128) <=> (~((~v139(constB128)) | (~v128(constB128)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB128) <=> (~((~v128(constB128)) | (~v139(constB128))))))),
% 16.70/11.88 inference(transitivity,[status(thm)],[25328, 25326])).
% 16.70/11.88 tff(25330,plain,
% 16.70/11.88 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB128) <=> (~((~v139(constB128)) | (~v128(constB128)))))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25331,plain,
% 16.70/11.88 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB128) <=> (~((~v128(constB128)) | (~v139(constB128)))))),
% 16.70/11.88 inference(modus_ponens,[status(thm)],[25330, 25329])).
% 16.70/11.88 tff(25332,plain,
% 16.70/11.88 (v163(constB128) <=> (~((~v128(constB128)) | (~v139(constB128))))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25331, 171])).
% 16.70/11.88 tff(25333,plain,
% 16.70/11.88 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB128) <=> v162(constB128))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25334,plain,
% 16.70/11.88 (v128(constB128) <=> v162(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25333, 13])).
% 16.70/11.88 tff(25335,plain,
% 16.70/11.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB127, constB128)) | (v162(constB128) <=> v160(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB127, constB128)) | (v162(constB128) <=> v160(constB127)))),
% 16.70/11.88 inference(rewrite,[status(thm)],[])).
% 16.70/11.88 tff(25336,plain,
% 16.70/11.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB127, constB128)) | (v162(constB128) <=> v160(constB127)))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25337,plain,
% 16.70/11.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB127, constB128)) | (v162(constB128) <=> v160(constB127))),
% 16.70/11.88 inference(modus_ponens,[status(thm)],[25336, 25335])).
% 16.70/11.88 tff(25338,plain,
% 16.70/11.88 (v162(constB128) <=> v160(constB127)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25337, 15736, 70])).
% 16.70/11.88 tff(25339,plain,
% 16.70/11.88 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB127) <=> (v163(constB127) | v164(constB127)))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25340,plain,
% 16.70/11.88 (v160(constB127) <=> (v163(constB127) | v164(constB127))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25339, 84])).
% 16.70/11.88 tff(25341,plain,
% 16.70/11.88 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB127) <=> (~((~v128(constB127)) | (~v139(constB127)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB127) <=> (~((~v128(constB127)) | (~v139(constB127))))))),
% 16.70/11.88 inference(rewrite,[status(thm)],[])).
% 16.70/11.88 tff(25342,plain,
% 16.70/11.88 ((v163(constB127) <=> (~((~v139(constB127)) | (~v128(constB127))))) <=> (v163(constB127) <=> (~((~v128(constB127)) | (~v139(constB127)))))),
% 16.70/11.88 inference(rewrite,[status(thm)],[])).
% 16.70/11.88 tff(25343,plain,
% 16.70/11.88 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB127) <=> (~((~v139(constB127)) | (~v128(constB127)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB127) <=> (~((~v128(constB127)) | (~v139(constB127))))))),
% 16.70/11.88 inference(monotonicity,[status(thm)],[25342])).
% 16.70/11.88 tff(25344,plain,
% 16.70/11.88 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB127) <=> (~((~v139(constB127)) | (~v128(constB127)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB127) <=> (~((~v128(constB127)) | (~v139(constB127))))))),
% 16.70/11.88 inference(transitivity,[status(thm)],[25343, 25341])).
% 16.70/11.88 tff(25345,plain,
% 16.70/11.88 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB127) <=> (~((~v139(constB127)) | (~v128(constB127)))))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25346,plain,
% 16.70/11.88 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB127) <=> (~((~v128(constB127)) | (~v139(constB127)))))),
% 16.70/11.88 inference(modus_ponens,[status(thm)],[25345, 25344])).
% 16.70/11.88 tff(25347,plain,
% 16.70/11.88 (v163(constB127) <=> (~((~v128(constB127)) | (~v139(constB127))))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25346, 171])).
% 16.70/11.88 tff(25348,plain,
% 16.70/11.88 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB127)) <=> v140(constB127))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25349,plain,
% 16.70/11.88 ((~v139(constB127)) <=> v140(constB127)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25348, 203])).
% 16.70/11.88 tff(25350,plain,
% 16.70/11.88 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB127) <=> (v141(constB127) | v26(constB127)))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25351,plain,
% 16.70/11.88 (v140(constB127) <=> (v141(constB127) | v26(constB127))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25350, 212])).
% 16.70/11.88 tff(25352,plain,
% 16.70/11.88 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB127) <=> (~((~v39(constB127)) | (~v9(constB127)))))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25353,plain,
% 16.70/11.88 (v141(constB127) <=> (~((~v39(constB127)) | (~v9(constB127))))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25352, 130])).
% 16.70/11.88 tff(25354,plain,
% 16.70/11.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB127, constB128)) | (v13(constB128) <=> v9(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB127, constB128)) | (v13(constB128) <=> v9(constB127)))),
% 16.70/11.88 inference(rewrite,[status(thm)],[])).
% 16.70/11.88 tff(25355,plain,
% 16.70/11.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB127, constB128)) | (v13(constB128) <=> v9(constB127)))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25356,plain,
% 16.70/11.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB127, constB128)) | (v13(constB128) <=> v9(constB127))),
% 16.70/11.88 inference(modus_ponens,[status(thm)],[25355, 25354])).
% 16.70/11.88 tff(25357,plain,
% 16.70/11.88 (v13(constB128) <=> v9(constB127)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25356, 15736, 226])).
% 16.70/11.88 tff(25358,plain,
% 16.70/11.88 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB128) <=> v13(constB128))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25359,plain,
% 16.70/11.88 (v6(constB128) <=> v13(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25358, 240])).
% 16.70/11.88 tff(25360,plain,
% 16.70/11.88 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB128)) <=> v6(constB128))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25361,plain,
% 16.70/11.88 ((~v21(constB128)) <=> v6(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25360, 249])).
% 16.70/11.88 tff(25362,plain,
% 16.70/11.88 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB128) <=> (v20(constB128) | v21(constB128)))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25363,plain,
% 16.70/11.88 (v19(constB128) <=> (v20(constB128) | v21(constB128))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25362, 258])).
% 16.70/11.88 tff(25364,plain,
% 16.70/11.88 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB128) <=> (~((~v19(constB128)) | (~v22(constB128)))))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25365,plain,
% 16.70/11.88 (v18(constB128) <=> (~((~v19(constB128)) | (~v22(constB128))))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25364, 270])).
% 16.70/11.88 tff(25366,plain,
% 16.70/11.88 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB128)) <=> v18(constB128))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25367,plain,
% 16.70/11.88 ((~v4(constB128)) <=> v18(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25366, 279])).
% 16.70/11.88 tff(25368,plain,
% 16.70/11.88 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB128)),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25369,plain,
% 16.70/11.88 (v4(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25368, 288])).
% 16.70/11.88 tff(25370,plain,
% 16.70/11.88 ((~((~v4(constB128)) <=> v18(constB128))) | (~v4(constB128)) | (~v18(constB128))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25371,plain,
% 16.70/11.88 (~v18(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25370, 25369, 25367])).
% 16.70/11.88 tff(25372,plain,
% 16.70/11.88 ((~(v18(constB128) <=> (~((~v19(constB128)) | (~v22(constB128)))))) | v18(constB128) | ((~v19(constB128)) | (~v22(constB128)))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25373,plain,
% 16.70/11.88 ((~v19(constB128)) | (~v22(constB128))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25372, 25371, 25365])).
% 16.70/11.88 tff(25374,plain,
% 16.70/11.88 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB128) <=> (v1(constB128) | v6(constB128)))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25375,plain,
% 16.70/11.88 (v22(constB128) <=> (v1(constB128) | v6(constB128))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25374, 301])).
% 16.70/11.88 tff(25376,plain,
% 16.70/11.88 ((v1(constB128) | v6(constB128)) | (~v1(constB128))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25377,plain,
% 16.70/11.88 (v1(constB128) | v6(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25376, 18690])).
% 16.70/11.88 tff(25378,plain,
% 16.70/11.88 ((~(v22(constB128) <=> (v1(constB128) | v6(constB128)))) | v22(constB128) | (~(v1(constB128) | v6(constB128)))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25379,plain,
% 16.70/11.88 ((~(v22(constB128) <=> (v1(constB128) | v6(constB128)))) | v22(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25378, 25377])).
% 16.70/11.88 tff(25380,plain,
% 16.70/11.88 (v22(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25379, 25375])).
% 16.70/11.88 tff(25381,plain,
% 16.70/11.88 ((~((~v19(constB128)) | (~v22(constB128)))) | (~v19(constB128)) | (~v22(constB128))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25382,plain,
% 16.70/11.88 ((~((~v19(constB128)) | (~v22(constB128)))) | (~v19(constB128))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25381, 25380])).
% 16.70/11.88 tff(25383,plain,
% 16.70/11.88 (~v19(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25382, 25373])).
% 16.70/11.88 tff(25384,plain,
% 16.70/11.88 ((~(v19(constB128) <=> (v20(constB128) | v21(constB128)))) | v19(constB128) | (~(v20(constB128) | v21(constB128)))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25385,plain,
% 16.70/11.88 (~(v20(constB128) | v21(constB128))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25384, 25383, 25363])).
% 16.70/11.88 tff(25386,plain,
% 16.70/11.88 ((v20(constB128) | v21(constB128)) | (~v21(constB128))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25387,plain,
% 16.70/11.88 (~v21(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25386, 25385])).
% 16.70/11.88 tff(25388,plain,
% 16.70/11.88 ((~((~v21(constB128)) <=> v6(constB128))) | v21(constB128) | v6(constB128)),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25389,plain,
% 16.70/11.88 (v6(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25388, 25387, 25361])).
% 16.70/11.88 tff(25390,plain,
% 16.70/11.88 ((~(v6(constB128) <=> v13(constB128))) | (~v6(constB128)) | v13(constB128)),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25391,plain,
% 16.70/11.88 (v13(constB128)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25390, 25389, 25359])).
% 16.70/11.88 tff(25392,plain,
% 16.70/11.88 ((~(v13(constB128) <=> v9(constB127))) | (~v13(constB128)) | v9(constB127)),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25393,plain,
% 16.70/11.88 (v9(constB127)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25392, 25391, 25357])).
% 16.70/11.88 tff(25394,plain,
% 16.70/11.88 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB127)) <=> v1(constB127))),
% 16.70/11.88 inference(quant_inst,[status(thm)],[])).
% 16.70/11.88 tff(25395,plain,
% 16.70/11.88 ((~v39(constB127)) <=> v1(constB127)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25394, 139])).
% 16.70/11.88 tff(25396,plain,
% 16.70/11.88 ((~((~v39(constB127)) <=> v1(constB127))) | v39(constB127) | v1(constB127)),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25397,plain,
% 16.70/11.88 ((~((~v39(constB127)) <=> v1(constB127))) | v39(constB127)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25396, 15775])).
% 16.70/11.88 tff(25398,plain,
% 16.70/11.88 (v39(constB127)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25397, 25395])).
% 16.70/11.88 tff(25399,plain,
% 16.70/11.88 ((~((~v39(constB127)) | (~v9(constB127)))) | (~v39(constB127)) | (~v9(constB127))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25400,plain,
% 16.70/11.88 ((~((~v39(constB127)) | (~v9(constB127)))) | (~v9(constB127))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25399, 25398])).
% 16.70/11.88 tff(25401,plain,
% 16.70/11.88 (~((~v39(constB127)) | (~v9(constB127)))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25400, 25393])).
% 16.70/11.88 tff(25402,plain,
% 16.70/11.88 ((~(v141(constB127) <=> (~((~v39(constB127)) | (~v9(constB127)))))) | v141(constB127) | ((~v39(constB127)) | (~v9(constB127)))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25403,plain,
% 16.70/11.88 (v141(constB127)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25402, 25401, 25353])).
% 16.70/11.88 tff(25404,plain,
% 16.70/11.88 ((v141(constB127) | v26(constB127)) | (~v141(constB127))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25405,plain,
% 16.70/11.88 (v141(constB127) | v26(constB127)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25404, 25403])).
% 16.70/11.88 tff(25406,plain,
% 16.70/11.88 ((~(v140(constB127) <=> (v141(constB127) | v26(constB127)))) | v140(constB127) | (~(v141(constB127) | v26(constB127)))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25407,plain,
% 16.70/11.88 (v140(constB127)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25406, 25405, 25351])).
% 16.70/11.88 tff(25408,plain,
% 16.70/11.88 ((~((~v139(constB127)) <=> v140(constB127))) | (~v139(constB127)) | (~v140(constB127))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25409,plain,
% 16.70/11.88 (~v139(constB127)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25408, 25407, 25349])).
% 16.70/11.88 tff(25410,plain,
% 16.70/11.88 (((~v128(constB127)) | (~v139(constB127))) | v139(constB127)),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25411,plain,
% 16.70/11.88 ((~v128(constB127)) | (~v139(constB127))),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25410, 25409])).
% 16.70/11.88 tff(25412,plain,
% 16.70/11.88 ((~(v163(constB127) <=> (~((~v128(constB127)) | (~v139(constB127)))))) | (~v163(constB127)) | (~((~v128(constB127)) | (~v139(constB127))))),
% 16.70/11.88 inference(tautology,[status(thm)],[])).
% 16.70/11.88 tff(25413,plain,
% 16.70/11.88 (~v163(constB127)),
% 16.70/11.88 inference(unit_resolution,[status(thm)],[25412, 25411, 25347])).
% 16.70/11.88 tff(25414,plain,
% 16.70/11.88 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB127) <=> (~((~v130(constB127)) | (~v155(constB127)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB127) <=> (~((~v130(constB127)) | (~v155(constB127))))))),
% 16.70/11.88 inference(rewrite,[status(thm)],[])).
% 16.70/11.88 tff(25415,plain,
% 16.70/11.88 ((v164(constB127) <=> (~((~v155(constB127)) | (~v130(constB127))))) <=> (v164(constB127) <=> (~((~v130(constB127)) | (~v155(constB127)))))),
% 16.70/11.88 inference(rewrite,[status(thm)],[])).
% 16.70/11.88 tff(25416,plain,
% 16.70/11.88 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB127) <=> (~((~v155(constB127)) | (~v130(constB127)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB127) <=> (~((~v130(constB127)) | (~v155(constB127))))))),
% 16.70/11.88 inference(monotonicity,[status(thm)],[25415])).
% 16.70/11.88 tff(25417,plain,
% 16.70/11.88 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB127) <=> (~((~v155(constB127)) | (~v130(constB127)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB127) <=> (~((~v130(constB127)) | (~v155(constB127))))))),
% 16.70/11.89 inference(transitivity,[status(thm)],[25416, 25414])).
% 16.70/11.89 tff(25418,plain,
% 16.70/11.89 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB127) <=> (~((~v155(constB127)) | (~v130(constB127)))))),
% 16.70/11.89 inference(quant_inst,[status(thm)],[])).
% 16.70/11.89 tff(25419,plain,
% 16.70/11.89 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB127) <=> (~((~v130(constB127)) | (~v155(constB127)))))),
% 16.70/11.89 inference(modus_ponens,[status(thm)],[25418, 25417])).
% 16.70/11.89 tff(25420,plain,
% 16.70/11.89 (v164(constB127) <=> (~((~v130(constB127)) | (~v155(constB127))))),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25419, 96])).
% 16.70/11.89 tff(25421,plain,
% 16.70/11.89 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB127) <=> v152(constB127))),
% 16.70/11.89 inference(quant_inst,[status(thm)],[])).
% 16.70/11.89 tff(25422,plain,
% 16.70/11.89 (v130(constB127) <=> v152(constB127)),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25421, 361])).
% 16.70/11.89 tff(25423,plain,
% 16.70/11.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB126, constB127)) | (v152(constB127) <=> v150(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB126, constB127)) | (v152(constB127) <=> v150(constB126)))),
% 16.70/11.89 inference(rewrite,[status(thm)],[])).
% 16.70/11.89 tff(25424,plain,
% 16.70/11.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB126, constB127)) | (v152(constB127) <=> v150(constB126)))),
% 16.70/11.89 inference(quant_inst,[status(thm)],[])).
% 16.70/11.89 tff(25425,plain,
% 16.70/11.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB126, constB127)) | (v152(constB127) <=> v150(constB126))),
% 16.70/11.89 inference(modus_ponens,[status(thm)],[25424, 25423])).
% 16.70/11.89 tff(25426,plain,
% 16.70/11.89 (v152(constB127) <=> v150(constB126)),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25425, 15761, 373])).
% 16.70/11.89 tff(25427,plain,
% 16.70/11.89 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB126) <=> (v153(constB126) | v154(constB126)))),
% 16.70/11.89 inference(quant_inst,[status(thm)],[])).
% 16.70/11.89 tff(25428,plain,
% 16.70/11.89 (v150(constB126) <=> (v153(constB126) | v154(constB126))),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25427, 387])).
% 16.70/11.89 tff(25429,plain,
% 16.70/11.89 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB126) <=> (~((~v132(constB126)) | (~v155(constB126)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB126) <=> (~((~v132(constB126)) | (~v155(constB126))))))),
% 16.70/11.89 inference(rewrite,[status(thm)],[])).
% 16.70/11.89 tff(25430,plain,
% 16.70/11.89 ((v154(constB126) <=> (~((~v155(constB126)) | (~v132(constB126))))) <=> (v154(constB126) <=> (~((~v132(constB126)) | (~v155(constB126)))))),
% 16.70/11.89 inference(rewrite,[status(thm)],[])).
% 16.70/11.89 tff(25431,plain,
% 16.70/11.89 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB126) <=> (~((~v155(constB126)) | (~v132(constB126)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB126) <=> (~((~v132(constB126)) | (~v155(constB126))))))),
% 16.70/11.89 inference(monotonicity,[status(thm)],[25430])).
% 16.70/11.89 tff(25432,plain,
% 16.70/11.89 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB126) <=> (~((~v155(constB126)) | (~v132(constB126)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB126) <=> (~((~v132(constB126)) | (~v155(constB126))))))),
% 16.70/11.89 inference(transitivity,[status(thm)],[25431, 25429])).
% 16.70/11.89 tff(25433,plain,
% 16.70/11.89 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB126) <=> (~((~v155(constB126)) | (~v132(constB126)))))),
% 16.70/11.89 inference(quant_inst,[status(thm)],[])).
% 16.70/11.89 tff(25434,plain,
% 16.70/11.89 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB126) <=> (~((~v132(constB126)) | (~v155(constB126)))))),
% 16.70/11.89 inference(modus_ponens,[status(thm)],[25433, 25432])).
% 16.70/11.89 tff(25435,plain,
% 16.70/11.89 (v154(constB126) <=> (~((~v132(constB126)) | (~v155(constB126))))),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25434, 399])).
% 16.70/11.89 tff(25436,plain,
% 16.70/11.89 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB126) <=> (~((~v141(constB126)) | (~v143(constB126)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB126) <=> (~((~v141(constB126)) | (~v143(constB126))))))),
% 16.70/11.89 inference(rewrite,[status(thm)],[])).
% 16.70/11.89 tff(25437,plain,
% 16.70/11.89 ((v155(constB126) <=> (~((~v143(constB126)) | (~v141(constB126))))) <=> (v155(constB126) <=> (~((~v141(constB126)) | (~v143(constB126)))))),
% 16.70/11.89 inference(rewrite,[status(thm)],[])).
% 16.70/11.89 tff(25438,plain,
% 16.70/11.89 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB126) <=> (~((~v143(constB126)) | (~v141(constB126)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB126) <=> (~((~v141(constB126)) | (~v143(constB126))))))),
% 16.70/11.89 inference(monotonicity,[status(thm)],[25437])).
% 16.70/11.89 tff(25439,plain,
% 16.70/11.89 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB126) <=> (~((~v143(constB126)) | (~v141(constB126)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB126) <=> (~((~v141(constB126)) | (~v143(constB126))))))),
% 16.70/11.89 inference(transitivity,[status(thm)],[25438, 25436])).
% 16.70/11.89 tff(25440,plain,
% 16.70/11.89 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB126) <=> (~((~v143(constB126)) | (~v141(constB126)))))),
% 16.70/11.89 inference(quant_inst,[status(thm)],[])).
% 16.70/11.89 tff(25441,plain,
% 16.70/11.89 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB126) <=> (~((~v141(constB126)) | (~v143(constB126)))))),
% 16.70/11.89 inference(modus_ponens,[status(thm)],[25440, 25439])).
% 16.70/11.89 tff(25442,plain,
% 16.70/11.89 (v155(constB126) <=> (~((~v141(constB126)) | (~v143(constB126))))),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25441, 113])).
% 16.70/11.89 tff(25443,plain,
% 16.70/11.89 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))),
% 16.70/11.89 inference(quant_inst,[status(thm)],[])).
% 16.70/11.89 tff(25444,plain,
% 16.70/11.89 (v141(constB126) <=> (~((~v39(constB126)) | (~v9(constB126))))),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25443, 130])).
% 16.70/11.89 tff(25445,plain,
% 16.70/11.89 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB126)) <=> v1(constB126))),
% 16.70/11.89 inference(quant_inst,[status(thm)],[])).
% 16.70/11.89 tff(25446,plain,
% 16.70/11.89 ((~v39(constB126)) <=> v1(constB126)),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25445, 139])).
% 16.70/11.89 tff(25447,plain,
% 16.70/11.89 ((~((~v39(constB126)) <=> v1(constB126))) | (~v39(constB126)) | (~v1(constB126))),
% 16.70/11.89 inference(tautology,[status(thm)],[])).
% 16.70/11.89 tff(25448,plain,
% 16.70/11.89 ((~((~v39(constB126)) <=> v1(constB126))) | (~v39(constB126))),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25447, 18532])).
% 16.70/11.89 tff(25449,plain,
% 16.70/11.89 (~v39(constB126)),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25448, 25446])).
% 16.70/11.89 tff(25450,plain,
% 16.70/11.89 (((~v39(constB126)) | (~v9(constB126))) | v39(constB126)),
% 16.70/11.89 inference(tautology,[status(thm)],[])).
% 16.70/11.89 tff(25451,plain,
% 16.70/11.89 ((~v39(constB126)) | (~v9(constB126))),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25450, 25449])).
% 16.70/11.89 tff(25452,plain,
% 16.70/11.89 ((~(v141(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))) | (~v141(constB126)) | (~((~v39(constB126)) | (~v9(constB126))))),
% 16.70/11.89 inference(tautology,[status(thm)],[])).
% 16.70/11.89 tff(25453,plain,
% 16.70/11.89 ((~(v141(constB126) <=> (~((~v39(constB126)) | (~v9(constB126)))))) | (~v141(constB126))),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25452, 25451])).
% 16.70/11.89 tff(25454,plain,
% 16.70/11.89 (~v141(constB126)),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25453, 25444])).
% 16.70/11.89 tff(25455,plain,
% 16.70/11.89 (((~v141(constB126)) | (~v143(constB126))) | v141(constB126)),
% 16.70/11.89 inference(tautology,[status(thm)],[])).
% 16.70/11.89 tff(25456,plain,
% 16.70/11.89 ((~v141(constB126)) | (~v143(constB126))),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25455, 25454])).
% 16.70/11.89 tff(25457,plain,
% 16.70/11.89 ((~(v155(constB126) <=> (~((~v141(constB126)) | (~v143(constB126)))))) | (~v155(constB126)) | (~((~v141(constB126)) | (~v143(constB126))))),
% 16.70/11.89 inference(tautology,[status(thm)],[])).
% 16.70/11.89 tff(25458,plain,
% 16.70/11.89 ((~(v155(constB126) <=> (~((~v141(constB126)) | (~v143(constB126)))))) | (~v155(constB126))),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25457, 25456])).
% 16.70/11.89 tff(25459,plain,
% 16.70/11.89 (~v155(constB126)),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25458, 25442])).
% 16.70/11.89 tff(25460,plain,
% 16.70/11.89 (((~v132(constB126)) | (~v155(constB126))) | v155(constB126)),
% 16.70/11.89 inference(tautology,[status(thm)],[])).
% 16.70/11.89 tff(25461,plain,
% 16.70/11.89 ((~v132(constB126)) | (~v155(constB126))),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25460, 25459])).
% 16.70/11.89 tff(25462,plain,
% 16.70/11.89 ((~(v154(constB126) <=> (~((~v132(constB126)) | (~v155(constB126)))))) | (~v154(constB126)) | (~((~v132(constB126)) | (~v155(constB126))))),
% 16.70/11.89 inference(tautology,[status(thm)],[])).
% 16.70/11.89 tff(25463,plain,
% 16.70/11.89 (~v154(constB126)),
% 16.70/11.89 inference(unit_resolution,[status(thm)],[25462, 25461, 25435])).
% 16.70/11.89 tff(25464,plain,
% 16.70/11.89 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB126) <=> (~((~v130(constB126)) | (~v139(constB126)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB126) <=> (~((~v130(constB126)) | (~v139(constB126))))))),
% 16.70/11.89 inference(rewrite,[status(thm)],[])).
% 16.70/11.89 tff(25465,plain,
% 16.70/11.89 ((v153(constB126) <=> (~((~v139(constB126)) | (~v130(constB126))))) <=> (v153(constB126) <=> (~((~v130(constB126)) | (~v139(constB126)))))),
% 16.70/11.89 inference(rewrite,[status(thm)],[])).
% 16.70/11.89 tff(25466,plain,
% 16.70/11.89 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB126) <=> (~((~v139(constB126)) | (~v130(constB126)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB126) <=> (~((~v130(constB126)) | (~v139(constB126))))))),
% 16.70/11.89 inference(monotonicity,[status(thm)],[25465])).
% 16.70/11.89 tff(25467,plain,
% 16.70/11.89 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB126) <=> (~((~v139(constB126)) | (~v130(constB126)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB126) <=> (~((~v130(constB126)) | (~v139(constB126))))))),
% 16.70/11.89 inference(transitivity,[status(thm)],[25466, 25464])).
% 16.76/11.89 tff(25468,plain,
% 16.76/11.89 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB126) <=> (~((~v139(constB126)) | (~v130(constB126)))))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25469,plain,
% 16.76/11.89 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB126) <=> (~((~v130(constB126)) | (~v139(constB126)))))),
% 16.76/11.89 inference(modus_ponens,[status(thm)],[25468, 25467])).
% 16.76/11.89 tff(25470,plain,
% 16.76/11.89 (v153(constB126) <=> (~((~v130(constB126)) | (~v139(constB126))))),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25469, 447])).
% 16.76/11.89 tff(25471,plain,
% 16.76/11.89 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB126) <=> v152(constB126))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25472,plain,
% 16.76/11.89 (v130(constB126) <=> v152(constB126)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25471, 361])).
% 16.76/11.89 tff(25473,plain,
% 16.76/11.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB125, constB126)) | (v152(constB126) <=> v150(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB125, constB126)) | (v152(constB126) <=> v150(constB125)))),
% 16.76/11.89 inference(rewrite,[status(thm)],[])).
% 16.76/11.89 tff(25474,plain,
% 16.76/11.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB125, constB126)) | (v152(constB126) <=> v150(constB125)))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25475,plain,
% 16.76/11.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB125, constB126)) | (v152(constB126) <=> v150(constB125))),
% 16.76/11.89 inference(modus_ponens,[status(thm)],[25474, 25473])).
% 16.76/11.89 tff(25476,plain,
% 16.76/11.89 (v152(constB126) <=> v150(constB125)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25475, 15797, 373])).
% 16.76/11.89 tff(25477,plain,
% 16.76/11.89 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB125) <=> (v153(constB125) | v154(constB125)))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25478,plain,
% 16.76/11.89 (v150(constB125) <=> (v153(constB125) | v154(constB125))),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25477, 387])).
% 16.76/11.89 tff(25479,plain,
% 16.76/11.89 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB125) <=> (~((~v130(constB125)) | (~v139(constB125)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB125) <=> (~((~v130(constB125)) | (~v139(constB125))))))),
% 16.76/11.89 inference(rewrite,[status(thm)],[])).
% 16.76/11.89 tff(25480,plain,
% 16.76/11.89 ((v153(constB125) <=> (~((~v139(constB125)) | (~v130(constB125))))) <=> (v153(constB125) <=> (~((~v130(constB125)) | (~v139(constB125)))))),
% 16.76/11.89 inference(rewrite,[status(thm)],[])).
% 16.76/11.89 tff(25481,plain,
% 16.76/11.89 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB125) <=> (~((~v139(constB125)) | (~v130(constB125)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB125) <=> (~((~v130(constB125)) | (~v139(constB125))))))),
% 16.76/11.89 inference(monotonicity,[status(thm)],[25480])).
% 16.76/11.89 tff(25482,plain,
% 16.76/11.89 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB125) <=> (~((~v139(constB125)) | (~v130(constB125)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB125) <=> (~((~v130(constB125)) | (~v139(constB125))))))),
% 16.76/11.89 inference(transitivity,[status(thm)],[25481, 25479])).
% 16.76/11.89 tff(25483,plain,
% 16.76/11.89 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB125) <=> (~((~v139(constB125)) | (~v130(constB125)))))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25484,plain,
% 16.76/11.89 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB125) <=> (~((~v130(constB125)) | (~v139(constB125)))))),
% 16.76/11.89 inference(modus_ponens,[status(thm)],[25483, 25482])).
% 16.76/11.89 tff(25485,plain,
% 16.76/11.89 (v153(constB125) <=> (~((~v130(constB125)) | (~v139(constB125))))),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25484, 447])).
% 16.76/11.89 tff(25486,plain,
% 16.76/11.89 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB125)) <=> v140(constB125))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25487,plain,
% 16.76/11.89 ((~v139(constB125)) <=> v140(constB125)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25486, 203])).
% 16.76/11.89 tff(25488,plain,
% 16.76/11.89 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB125) <=> (v141(constB125) | v26(constB125)))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25489,plain,
% 16.76/11.89 (v140(constB125) <=> (v141(constB125) | v26(constB125))),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25488, 212])).
% 16.76/11.89 tff(25490,plain,
% 16.76/11.89 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB125) <=> (~((~v39(constB125)) | (~v9(constB125)))))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25491,plain,
% 16.76/11.89 (v141(constB125) <=> (~((~v39(constB125)) | (~v9(constB125))))),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25490, 130])).
% 16.76/11.89 tff(25492,plain,
% 16.76/11.89 (((~![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)))),
% 16.76/11.89 inference(rewrite,[status(thm)],[])).
% 16.76/11.89 tff(25493,plain,
% 16.76/11.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125)))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25494,plain,
% 16.76/11.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB125, constB126)) | (v13(constB126) <=> v9(constB125))),
% 16.76/11.89 inference(modus_ponens,[status(thm)],[25493, 25492])).
% 16.76/11.89 tff(25495,plain,
% 16.76/11.89 (v13(constB126) <=> v9(constB125)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25494, 15797, 226])).
% 16.76/11.89 tff(25496,plain,
% 16.76/11.89 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB126) <=> v13(constB126))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25497,plain,
% 16.76/11.89 (v6(constB126) <=> v13(constB126)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25496, 240])).
% 16.76/11.89 tff(25498,plain,
% 16.76/11.89 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB126)) <=> v6(constB126))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25499,plain,
% 16.76/11.89 ((~v21(constB126)) <=> v6(constB126)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25498, 249])).
% 16.76/11.89 tff(25500,plain,
% 16.76/11.89 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB126) <=> (v20(constB126) | v21(constB126)))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25501,plain,
% 16.76/11.89 (v19(constB126) <=> (v20(constB126) | v21(constB126))),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25500, 258])).
% 16.76/11.89 tff(25502,plain,
% 16.76/11.89 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126)))))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25503,plain,
% 16.76/11.89 (v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126))))),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25502, 270])).
% 16.76/11.89 tff(25504,plain,
% 16.76/11.89 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB126)) <=> v18(constB126))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25505,plain,
% 16.76/11.89 ((~v4(constB126)) <=> v18(constB126)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25504, 279])).
% 16.76/11.89 tff(25506,plain,
% 16.76/11.89 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB126)),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25507,plain,
% 16.76/11.89 (v4(constB126)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25506, 288])).
% 16.76/11.89 tff(25508,plain,
% 16.76/11.89 ((~((~v4(constB126)) <=> v18(constB126))) | (~v4(constB126)) | (~v18(constB126))),
% 16.76/11.89 inference(tautology,[status(thm)],[])).
% 16.76/11.89 tff(25509,plain,
% 16.76/11.89 (~v18(constB126)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25508, 25507, 25505])).
% 16.76/11.89 tff(25510,plain,
% 16.76/11.89 ((~(v18(constB126) <=> (~((~v19(constB126)) | (~v22(constB126)))))) | v18(constB126) | ((~v19(constB126)) | (~v22(constB126)))),
% 16.76/11.89 inference(tautology,[status(thm)],[])).
% 16.76/11.89 tff(25511,plain,
% 16.76/11.89 ((~v19(constB126)) | (~v22(constB126))),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25510, 25509, 25503])).
% 16.76/11.89 tff(25512,plain,
% 16.76/11.89 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB126) <=> (v1(constB126) | v6(constB126)))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25513,plain,
% 16.76/11.89 (v22(constB126) <=> (v1(constB126) | v6(constB126))),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25512, 301])).
% 16.76/11.89 tff(25514,plain,
% 16.76/11.89 ((v1(constB126) | v6(constB126)) | (~v1(constB126))),
% 16.76/11.89 inference(tautology,[status(thm)],[])).
% 16.76/11.89 tff(25515,plain,
% 16.76/11.89 (v1(constB126) | v6(constB126)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25514, 18532])).
% 16.76/11.89 tff(25516,plain,
% 16.76/11.89 ((~(v22(constB126) <=> (v1(constB126) | v6(constB126)))) | v22(constB126) | (~(v1(constB126) | v6(constB126)))),
% 16.76/11.89 inference(tautology,[status(thm)],[])).
% 16.76/11.89 tff(25517,plain,
% 16.76/11.89 ((~(v22(constB126) <=> (v1(constB126) | v6(constB126)))) | v22(constB126)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25516, 25515])).
% 16.76/11.89 tff(25518,plain,
% 16.76/11.89 (v22(constB126)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25517, 25513])).
% 16.76/11.89 tff(25519,plain,
% 16.76/11.89 ((~((~v19(constB126)) | (~v22(constB126)))) | (~v19(constB126)) | (~v22(constB126))),
% 16.76/11.89 inference(tautology,[status(thm)],[])).
% 16.76/11.89 tff(25520,plain,
% 16.76/11.89 ((~((~v19(constB126)) | (~v22(constB126)))) | (~v19(constB126))),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25519, 25518])).
% 16.76/11.89 tff(25521,plain,
% 16.76/11.89 (~v19(constB126)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25520, 25511])).
% 16.76/11.89 tff(25522,plain,
% 16.76/11.89 ((~(v19(constB126) <=> (v20(constB126) | v21(constB126)))) | v19(constB126) | (~(v20(constB126) | v21(constB126)))),
% 16.76/11.89 inference(tautology,[status(thm)],[])).
% 16.76/11.89 tff(25523,plain,
% 16.76/11.89 (~(v20(constB126) | v21(constB126))),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25522, 25521, 25501])).
% 16.76/11.89 tff(25524,plain,
% 16.76/11.89 ((v20(constB126) | v21(constB126)) | (~v21(constB126))),
% 16.76/11.89 inference(tautology,[status(thm)],[])).
% 16.76/11.89 tff(25525,plain,
% 16.76/11.89 (~v21(constB126)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25524, 25523])).
% 16.76/11.89 tff(25526,plain,
% 16.76/11.89 ((~((~v21(constB126)) <=> v6(constB126))) | v21(constB126) | v6(constB126)),
% 16.76/11.89 inference(tautology,[status(thm)],[])).
% 16.76/11.89 tff(25527,plain,
% 16.76/11.89 (v6(constB126)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25526, 25525, 25499])).
% 16.76/11.89 tff(25528,plain,
% 16.76/11.89 ((~(v6(constB126) <=> v13(constB126))) | (~v6(constB126)) | v13(constB126)),
% 16.76/11.89 inference(tautology,[status(thm)],[])).
% 16.76/11.89 tff(25529,plain,
% 16.76/11.89 (v13(constB126)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25528, 25527, 25497])).
% 16.76/11.89 tff(25530,plain,
% 16.76/11.89 ((~(v13(constB126) <=> v9(constB125))) | (~v13(constB126)) | v9(constB125)),
% 16.76/11.89 inference(tautology,[status(thm)],[])).
% 16.76/11.89 tff(25531,plain,
% 16.76/11.89 (v9(constB125)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25530, 25529, 25495])).
% 16.76/11.89 tff(25532,plain,
% 16.76/11.89 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB125)) <=> v1(constB125))),
% 16.76/11.89 inference(quant_inst,[status(thm)],[])).
% 16.76/11.89 tff(25533,plain,
% 16.76/11.89 ((~v39(constB125)) <=> v1(constB125)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25532, 139])).
% 16.76/11.89 tff(25534,plain,
% 16.76/11.89 ((~((~v39(constB125)) <=> v1(constB125))) | v39(constB125) | v1(constB125)),
% 16.76/11.89 inference(tautology,[status(thm)],[])).
% 16.76/11.89 tff(25535,plain,
% 16.76/11.89 ((~((~v39(constB125)) <=> v1(constB125))) | v39(constB125)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25534, 15836])).
% 16.76/11.89 tff(25536,plain,
% 16.76/11.89 (v39(constB125)),
% 16.76/11.89 inference(unit_resolution,[status(thm)],[25535, 25533])).
% 16.76/11.90 tff(25537,plain,
% 16.76/11.90 ((~((~v39(constB125)) | (~v9(constB125)))) | (~v39(constB125)) | (~v9(constB125))),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25538,plain,
% 16.76/11.90 ((~((~v39(constB125)) | (~v9(constB125)))) | (~v9(constB125))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25537, 25536])).
% 16.76/11.90 tff(25539,plain,
% 16.76/11.90 (~((~v39(constB125)) | (~v9(constB125)))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25538, 25531])).
% 16.76/11.90 tff(25540,plain,
% 16.76/11.90 ((~(v141(constB125) <=> (~((~v39(constB125)) | (~v9(constB125)))))) | v141(constB125) | ((~v39(constB125)) | (~v9(constB125)))),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25541,plain,
% 16.76/11.90 (v141(constB125)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25540, 25539, 25491])).
% 16.76/11.90 tff(25542,plain,
% 16.76/11.90 ((v141(constB125) | v26(constB125)) | (~v141(constB125))),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25543,plain,
% 16.76/11.90 (v141(constB125) | v26(constB125)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25542, 25541])).
% 16.76/11.90 tff(25544,plain,
% 16.76/11.90 ((~(v140(constB125) <=> (v141(constB125) | v26(constB125)))) | v140(constB125) | (~(v141(constB125) | v26(constB125)))),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25545,plain,
% 16.76/11.90 (v140(constB125)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25544, 25543, 25489])).
% 16.76/11.90 tff(25546,plain,
% 16.76/11.90 ((~((~v139(constB125)) <=> v140(constB125))) | (~v139(constB125)) | (~v140(constB125))),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25547,plain,
% 16.76/11.90 (~v139(constB125)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25546, 25545, 25487])).
% 16.76/11.90 tff(25548,plain,
% 16.76/11.90 (((~v130(constB125)) | (~v139(constB125))) | v139(constB125)),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25549,plain,
% 16.76/11.90 ((~v130(constB125)) | (~v139(constB125))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25548, 25547])).
% 16.76/11.90 tff(25550,plain,
% 16.76/11.90 ((~(v153(constB125) <=> (~((~v130(constB125)) | (~v139(constB125)))))) | (~v153(constB125)) | (~((~v130(constB125)) | (~v139(constB125))))),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25551,plain,
% 16.76/11.90 (~v153(constB125)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25550, 25549, 25485])).
% 16.76/11.90 tff(25552,plain,
% 16.76/11.90 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB125) <=> (~((~v132(constB125)) | (~v155(constB125)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB125) <=> (~((~v132(constB125)) | (~v155(constB125))))))),
% 16.76/11.90 inference(rewrite,[status(thm)],[])).
% 16.76/11.90 tff(25553,plain,
% 16.76/11.90 ((v154(constB125) <=> (~((~v155(constB125)) | (~v132(constB125))))) <=> (v154(constB125) <=> (~((~v132(constB125)) | (~v155(constB125)))))),
% 16.76/11.90 inference(rewrite,[status(thm)],[])).
% 16.76/11.90 tff(25554,plain,
% 16.76/11.90 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB125) <=> (~((~v155(constB125)) | (~v132(constB125)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB125) <=> (~((~v132(constB125)) | (~v155(constB125))))))),
% 16.76/11.90 inference(monotonicity,[status(thm)],[25553])).
% 16.76/11.90 tff(25555,plain,
% 16.76/11.90 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB125) <=> (~((~v155(constB125)) | (~v132(constB125)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB125) <=> (~((~v132(constB125)) | (~v155(constB125))))))),
% 16.76/11.90 inference(transitivity,[status(thm)],[25554, 25552])).
% 16.76/11.90 tff(25556,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB125) <=> (~((~v155(constB125)) | (~v132(constB125)))))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25557,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB125) <=> (~((~v132(constB125)) | (~v155(constB125)))))),
% 16.76/11.90 inference(modus_ponens,[status(thm)],[25556, 25555])).
% 16.76/11.90 tff(25558,plain,
% 16.76/11.90 (v154(constB125) <=> (~((~v132(constB125)) | (~v155(constB125))))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25557, 399])).
% 16.76/11.90 tff(25559,plain,
% 16.76/11.90 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB125) <=> v137(constB125))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25560,plain,
% 16.76/11.90 (v132(constB125) <=> v137(constB125)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25559, 558])).
% 16.76/11.90 tff(25561,plain,
% 16.76/11.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB124, constB125)) | (v137(constB125) <=> v135(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB124, constB125)) | (v137(constB125) <=> v135(constB124)))),
% 16.76/11.90 inference(rewrite,[status(thm)],[])).
% 16.76/11.90 tff(25562,plain,
% 16.76/11.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB124, constB125)) | (v137(constB125) <=> v135(constB124)))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25563,plain,
% 16.76/11.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB124, constB125)) | (v137(constB125) <=> v135(constB124))),
% 16.76/11.90 inference(modus_ponens,[status(thm)],[25562, 25561])).
% 16.76/11.90 tff(25564,plain,
% 16.76/11.90 (v137(constB125) <=> v135(constB124)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25563, 15822, 570])).
% 16.76/11.90 tff(25565,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB124) <=> (v138(constB124) | v142(constB124)))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25566,plain,
% 16.76/11.90 (v135(constB124) <=> (v138(constB124) | v142(constB124))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25565, 584])).
% 16.76/11.90 tff(25567,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB124) <=> (~((~v143(constB124)) | (~v144(constB124)))))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25568,plain,
% 16.76/11.90 (v142(constB124) <=> (~((~v143(constB124)) | (~v144(constB124))))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25567, 596])).
% 16.76/11.90 tff(25569,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB124) <=> (~((~v141(constB124)) | (~v145(constB124)))))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25570,plain,
% 16.76/11.90 (v144(constB124) <=> (~((~v141(constB124)) | (~v145(constB124))))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25569, 608])).
% 16.76/11.90 tff(25571,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB124) <=> (~((~v39(constB124)) | (~v9(constB124)))))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25572,plain,
% 16.76/11.90 (v141(constB124) <=> (~((~v39(constB124)) | (~v9(constB124))))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25571, 130])).
% 16.76/11.90 tff(25573,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB124)) <=> v1(constB124))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25574,plain,
% 16.76/11.90 ((~v39(constB124)) <=> v1(constB124)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25573, 139])).
% 16.76/11.90 tff(25575,plain,
% 16.76/11.90 ((~((~v39(constB124)) <=> v1(constB124))) | (~v39(constB124)) | (~v1(constB124))),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25576,plain,
% 16.76/11.90 ((~((~v39(constB124)) <=> v1(constB124))) | (~v39(constB124))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25575, 18359])).
% 16.76/11.90 tff(25577,plain,
% 16.76/11.90 (~v39(constB124)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25576, 25574])).
% 16.76/11.90 tff(25578,plain,
% 16.76/11.90 (((~v39(constB124)) | (~v9(constB124))) | v39(constB124)),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25579,plain,
% 16.76/11.90 ((~v39(constB124)) | (~v9(constB124))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25578, 25577])).
% 16.76/11.90 tff(25580,plain,
% 16.76/11.90 ((~(v141(constB124) <=> (~((~v39(constB124)) | (~v9(constB124)))))) | (~v141(constB124)) | (~((~v39(constB124)) | (~v9(constB124))))),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25581,plain,
% 16.76/11.90 ((~(v141(constB124) <=> (~((~v39(constB124)) | (~v9(constB124)))))) | (~v141(constB124))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25580, 25579])).
% 16.76/11.90 tff(25582,plain,
% 16.76/11.90 (~v141(constB124)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25581, 25572])).
% 16.76/11.90 tff(25583,plain,
% 16.76/11.90 (((~v141(constB124)) | (~v145(constB124))) | v141(constB124)),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25584,plain,
% 16.76/11.90 ((~v141(constB124)) | (~v145(constB124))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25583, 25582])).
% 16.76/11.90 tff(25585,plain,
% 16.76/11.90 ((~(v144(constB124) <=> (~((~v141(constB124)) | (~v145(constB124)))))) | (~v144(constB124)) | (~((~v141(constB124)) | (~v145(constB124))))),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25586,plain,
% 16.76/11.90 ((~(v144(constB124) <=> (~((~v141(constB124)) | (~v145(constB124)))))) | (~v144(constB124))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25585, 25584])).
% 16.76/11.90 tff(25587,plain,
% 16.76/11.90 (~v144(constB124)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25586, 25570])).
% 16.76/11.90 tff(25588,plain,
% 16.76/11.90 (((~v143(constB124)) | (~v144(constB124))) | v144(constB124)),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25589,plain,
% 16.76/11.90 ((~v143(constB124)) | (~v144(constB124))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25588, 25587])).
% 16.76/11.90 tff(25590,plain,
% 16.76/11.90 ((~(v142(constB124) <=> (~((~v143(constB124)) | (~v144(constB124)))))) | (~v142(constB124)) | (~((~v143(constB124)) | (~v144(constB124))))),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25591,plain,
% 16.76/11.90 (~v142(constB124)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25590, 25589, 25568])).
% 16.76/11.90 tff(25592,plain,
% 16.76/11.90 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB124) <=> (~((~v132(constB124)) | (~v139(constB124)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB124) <=> (~((~v132(constB124)) | (~v139(constB124))))))),
% 16.76/11.90 inference(rewrite,[status(thm)],[])).
% 16.76/11.90 tff(25593,plain,
% 16.76/11.90 ((v138(constB124) <=> (~((~v139(constB124)) | (~v132(constB124))))) <=> (v138(constB124) <=> (~((~v132(constB124)) | (~v139(constB124)))))),
% 16.76/11.90 inference(rewrite,[status(thm)],[])).
% 16.76/11.90 tff(25594,plain,
% 16.76/11.90 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB124) <=> (~((~v139(constB124)) | (~v132(constB124)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB124) <=> (~((~v132(constB124)) | (~v139(constB124))))))),
% 16.76/11.90 inference(monotonicity,[status(thm)],[25593])).
% 16.76/11.90 tff(25595,plain,
% 16.76/11.90 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB124) <=> (~((~v139(constB124)) | (~v132(constB124)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB124) <=> (~((~v132(constB124)) | (~v139(constB124))))))),
% 16.76/11.90 inference(transitivity,[status(thm)],[25594, 25592])).
% 16.76/11.90 tff(25596,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB124) <=> (~((~v139(constB124)) | (~v132(constB124)))))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25597,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB124) <=> (~((~v132(constB124)) | (~v139(constB124)))))),
% 16.76/11.90 inference(modus_ponens,[status(thm)],[25596, 25595])).
% 16.76/11.90 tff(25598,plain,
% 16.76/11.90 (v138(constB124) <=> (~((~v132(constB124)) | (~v139(constB124))))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25597, 644])).
% 16.76/11.90 tff(25599,plain,
% 16.76/11.90 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB124) <=> v137(constB124))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25600,plain,
% 16.76/11.90 (v132(constB124) <=> v137(constB124)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25599, 558])).
% 16.76/11.90 tff(25601,plain,
% 16.76/11.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB123, constB124)) | (v137(constB124) <=> v135(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB123, constB124)) | (v137(constB124) <=> v135(constB123)))),
% 16.76/11.90 inference(rewrite,[status(thm)],[])).
% 16.76/11.90 tff(25602,plain,
% 16.76/11.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB123, constB124)) | (v137(constB124) <=> v135(constB123)))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25603,plain,
% 16.76/11.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB123, constB124)) | (v137(constB124) <=> v135(constB123))),
% 16.76/11.90 inference(modus_ponens,[status(thm)],[25602, 25601])).
% 16.76/11.90 tff(25604,plain,
% 16.76/11.90 (v137(constB124) <=> v135(constB123)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25603, 15858, 570])).
% 16.76/11.90 tff(25605,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB123) <=> (v138(constB123) | v142(constB123)))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25606,plain,
% 16.76/11.90 (v135(constB123) <=> (v138(constB123) | v142(constB123))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25605, 584])).
% 16.76/11.90 tff(25607,plain,
% 16.76/11.90 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB123) <=> (~((~v132(constB123)) | (~v139(constB123)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB123) <=> (~((~v132(constB123)) | (~v139(constB123))))))),
% 16.76/11.90 inference(rewrite,[status(thm)],[])).
% 16.76/11.90 tff(25608,plain,
% 16.76/11.90 ((v138(constB123) <=> (~((~v139(constB123)) | (~v132(constB123))))) <=> (v138(constB123) <=> (~((~v132(constB123)) | (~v139(constB123)))))),
% 16.76/11.90 inference(rewrite,[status(thm)],[])).
% 16.76/11.90 tff(25609,plain,
% 16.76/11.90 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB123) <=> (~((~v139(constB123)) | (~v132(constB123)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB123) <=> (~((~v132(constB123)) | (~v139(constB123))))))),
% 16.76/11.90 inference(monotonicity,[status(thm)],[25608])).
% 16.76/11.90 tff(25610,plain,
% 16.76/11.90 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB123) <=> (~((~v139(constB123)) | (~v132(constB123)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB123) <=> (~((~v132(constB123)) | (~v139(constB123))))))),
% 16.76/11.90 inference(transitivity,[status(thm)],[25609, 25607])).
% 16.76/11.90 tff(25611,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB123) <=> (~((~v139(constB123)) | (~v132(constB123)))))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25612,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB123) <=> (~((~v132(constB123)) | (~v139(constB123)))))),
% 16.76/11.90 inference(modus_ponens,[status(thm)],[25611, 25610])).
% 16.76/11.90 tff(25613,plain,
% 16.76/11.90 (v138(constB123) <=> (~((~v132(constB123)) | (~v139(constB123))))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25612, 644])).
% 16.76/11.90 tff(25614,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB123)) <=> v140(constB123))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25615,plain,
% 16.76/11.90 ((~v139(constB123)) <=> v140(constB123)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25614, 203])).
% 16.76/11.90 tff(25616,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB123) <=> (v141(constB123) | v26(constB123)))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25617,plain,
% 16.76/11.90 (v140(constB123) <=> (v141(constB123) | v26(constB123))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25616, 212])).
% 16.76/11.90 tff(25618,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB123) <=> (~((~v39(constB123)) | (~v9(constB123)))))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25619,plain,
% 16.76/11.90 (v141(constB123) <=> (~((~v39(constB123)) | (~v9(constB123))))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25618, 130])).
% 16.76/11.90 tff(25620,plain,
% 16.76/11.90 (((~![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)))),
% 16.76/11.90 inference(rewrite,[status(thm)],[])).
% 16.76/11.90 tff(25621,plain,
% 16.76/11.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB123, constB124)) | (v13(constB124) <=> v9(constB123)))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25622,plain,
% 16.76/11.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB123, constB124)) | (v13(constB124) <=> v9(constB123))),
% 16.76/11.90 inference(modus_ponens,[status(thm)],[25621, 25620])).
% 16.76/11.90 tff(25623,plain,
% 16.76/11.90 (v13(constB124) <=> v9(constB123)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25622, 15858, 226])).
% 16.76/11.90 tff(25624,plain,
% 16.76/11.90 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB124) <=> v13(constB124))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25625,plain,
% 16.76/11.90 (v6(constB124) <=> v13(constB124)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25624, 240])).
% 16.76/11.90 tff(25626,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB124)) <=> v6(constB124))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25627,plain,
% 16.76/11.90 ((~v21(constB124)) <=> v6(constB124)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25626, 249])).
% 16.76/11.90 tff(25628,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB124) <=> (v20(constB124) | v21(constB124)))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25629,plain,
% 16.76/11.90 (v19(constB124) <=> (v20(constB124) | v21(constB124))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25628, 258])).
% 16.76/11.90 tff(25630,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB124) <=> (~((~v19(constB124)) | (~v22(constB124)))))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25631,plain,
% 16.76/11.90 (v18(constB124) <=> (~((~v19(constB124)) | (~v22(constB124))))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25630, 270])).
% 16.76/11.90 tff(25632,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB124)) <=> v18(constB124))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25633,plain,
% 16.76/11.90 ((~v4(constB124)) <=> v18(constB124)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25632, 279])).
% 16.76/11.90 tff(25634,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB124)),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25635,plain,
% 16.76/11.90 (v4(constB124)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25634, 288])).
% 16.76/11.90 tff(25636,plain,
% 16.76/11.90 ((~((~v4(constB124)) <=> v18(constB124))) | (~v4(constB124)) | (~v18(constB124))),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25637,plain,
% 16.76/11.90 (~v18(constB124)),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25636, 25635, 25633])).
% 16.76/11.90 tff(25638,plain,
% 16.76/11.90 ((~(v18(constB124) <=> (~((~v19(constB124)) | (~v22(constB124)))))) | v18(constB124) | ((~v19(constB124)) | (~v22(constB124)))),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.90 tff(25639,plain,
% 16.76/11.90 ((~v19(constB124)) | (~v22(constB124))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25638, 25637, 25631])).
% 16.76/11.90 tff(25640,plain,
% 16.76/11.90 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB124) <=> (v1(constB124) | v6(constB124)))),
% 16.76/11.90 inference(quant_inst,[status(thm)],[])).
% 16.76/11.90 tff(25641,plain,
% 16.76/11.90 (v22(constB124) <=> (v1(constB124) | v6(constB124))),
% 16.76/11.90 inference(unit_resolution,[status(thm)],[25640, 301])).
% 16.76/11.90 tff(25642,plain,
% 16.76/11.90 ((v1(constB124) | v6(constB124)) | (~v1(constB124))),
% 16.76/11.90 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25643,plain,
% 16.76/11.91 (v1(constB124) | v6(constB124)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25642, 18359])).
% 16.76/11.91 tff(25644,plain,
% 16.76/11.91 ((~(v22(constB124) <=> (v1(constB124) | v6(constB124)))) | v22(constB124) | (~(v1(constB124) | v6(constB124)))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25645,plain,
% 16.76/11.91 ((~(v22(constB124) <=> (v1(constB124) | v6(constB124)))) | v22(constB124)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25644, 25643])).
% 16.76/11.91 tff(25646,plain,
% 16.76/11.91 (v22(constB124)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25645, 25641])).
% 16.76/11.91 tff(25647,plain,
% 16.76/11.91 ((~((~v19(constB124)) | (~v22(constB124)))) | (~v19(constB124)) | (~v22(constB124))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25648,plain,
% 16.76/11.91 ((~((~v19(constB124)) | (~v22(constB124)))) | (~v19(constB124))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25647, 25646])).
% 16.76/11.91 tff(25649,plain,
% 16.76/11.91 (~v19(constB124)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25648, 25639])).
% 16.76/11.91 tff(25650,plain,
% 16.76/11.91 ((~(v19(constB124) <=> (v20(constB124) | v21(constB124)))) | v19(constB124) | (~(v20(constB124) | v21(constB124)))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25651,plain,
% 16.76/11.91 (~(v20(constB124) | v21(constB124))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25650, 25649, 25629])).
% 16.76/11.91 tff(25652,plain,
% 16.76/11.91 ((v20(constB124) | v21(constB124)) | (~v21(constB124))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25653,plain,
% 16.76/11.91 (~v21(constB124)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25652, 25651])).
% 16.76/11.91 tff(25654,plain,
% 16.76/11.91 ((~((~v21(constB124)) <=> v6(constB124))) | v21(constB124) | v6(constB124)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25655,plain,
% 16.76/11.91 (v6(constB124)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25654, 25653, 25627])).
% 16.76/11.91 tff(25656,plain,
% 16.76/11.91 ((~(v6(constB124) <=> v13(constB124))) | (~v6(constB124)) | v13(constB124)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25657,plain,
% 16.76/11.91 (v13(constB124)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25656, 25655, 25625])).
% 16.76/11.91 tff(25658,plain,
% 16.76/11.91 ((~(v13(constB124) <=> v9(constB123))) | (~v13(constB124)) | v9(constB123)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25659,plain,
% 16.76/11.91 (v9(constB123)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25658, 25657, 25623])).
% 16.76/11.91 tff(25660,plain,
% 16.76/11.91 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB123)) <=> v1(constB123))),
% 16.76/11.91 inference(quant_inst,[status(thm)],[])).
% 16.76/11.91 tff(25661,plain,
% 16.76/11.91 ((~v39(constB123)) <=> v1(constB123)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25660, 139])).
% 16.76/11.91 tff(25662,plain,
% 16.76/11.91 ((~((~v39(constB123)) <=> v1(constB123))) | v39(constB123) | v1(constB123)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25663,plain,
% 16.76/11.91 ((~((~v39(constB123)) <=> v1(constB123))) | v39(constB123)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25662, 15902])).
% 16.76/11.91 tff(25664,plain,
% 16.76/11.91 (v39(constB123)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25663, 25661])).
% 16.76/11.91 tff(25665,plain,
% 16.76/11.91 ((~((~v39(constB123)) | (~v9(constB123)))) | (~v39(constB123)) | (~v9(constB123))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25666,plain,
% 16.76/11.91 ((~((~v39(constB123)) | (~v9(constB123)))) | (~v9(constB123))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25665, 25664])).
% 16.76/11.91 tff(25667,plain,
% 16.76/11.91 (~((~v39(constB123)) | (~v9(constB123)))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25666, 25659])).
% 16.76/11.91 tff(25668,plain,
% 16.76/11.91 ((~(v141(constB123) <=> (~((~v39(constB123)) | (~v9(constB123)))))) | v141(constB123) | ((~v39(constB123)) | (~v9(constB123)))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25669,plain,
% 16.76/11.91 (v141(constB123)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25668, 25667, 25619])).
% 16.76/11.91 tff(25670,plain,
% 16.76/11.91 ((v141(constB123) | v26(constB123)) | (~v141(constB123))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25671,plain,
% 16.76/11.91 (v141(constB123) | v26(constB123)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25670, 25669])).
% 16.76/11.91 tff(25672,plain,
% 16.76/11.91 ((~(v140(constB123) <=> (v141(constB123) | v26(constB123)))) | v140(constB123) | (~(v141(constB123) | v26(constB123)))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25673,plain,
% 16.76/11.91 (v140(constB123)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25672, 25671, 25617])).
% 16.76/11.91 tff(25674,plain,
% 16.76/11.91 ((~((~v139(constB123)) <=> v140(constB123))) | (~v139(constB123)) | (~v140(constB123))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25675,plain,
% 16.76/11.91 (~v139(constB123)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25674, 25673, 25615])).
% 16.76/11.91 tff(25676,plain,
% 16.76/11.91 (((~v132(constB123)) | (~v139(constB123))) | v139(constB123)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25677,plain,
% 16.76/11.91 ((~v132(constB123)) | (~v139(constB123))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25676, 25675])).
% 16.76/11.91 tff(25678,plain,
% 16.76/11.91 ((~(v138(constB123) <=> (~((~v132(constB123)) | (~v139(constB123)))))) | (~v138(constB123)) | (~((~v132(constB123)) | (~v139(constB123))))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25679,plain,
% 16.76/11.91 (~v138(constB123)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25678, 25677, 25613])).
% 16.76/11.91 tff(25680,plain,
% 16.76/11.91 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB123) <=> (~((~v143(constB123)) | (~v144(constB123)))))),
% 16.76/11.91 inference(quant_inst,[status(thm)],[])).
% 16.76/11.91 tff(25681,plain,
% 16.76/11.91 (v142(constB123) <=> (~((~v143(constB123)) | (~v144(constB123))))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25680, 596])).
% 16.76/11.91 tff(25682,plain,
% 16.76/11.91 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB123) <=> (~((~v141(constB123)) | (~v145(constB123)))))),
% 16.76/11.91 inference(quant_inst,[status(thm)],[])).
% 16.76/11.91 tff(25683,plain,
% 16.76/11.91 (v144(constB123) <=> (~((~v141(constB123)) | (~v145(constB123))))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25682, 608])).
% 16.76/11.91 tff(25684,plain,
% 16.76/11.91 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB123) <=> (~(v84(constB123, 1) | v84(constB123, 2) | (~v84(constB123, 0)))))),
% 16.76/11.91 inference(quant_inst,[status(thm)],[])).
% 16.76/11.91 tff(25685,plain,
% 16.76/11.91 (v145(constB123) <=> (~(v84(constB123, 1) | v84(constB123, 2) | (~v84(constB123, 0))))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25684, 755])).
% 16.76/11.91 tff(25686,plain,
% 16.76/11.91 ((v84(constB123, 1) | v84(constB123, 2) | (~v84(constB123, 0))) | v84(constB123, 0)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25687,plain,
% 16.76/11.91 (v84(constB123, 1) | v84(constB123, 2) | (~v84(constB123, 0))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25686, 18299])).
% 16.76/11.91 tff(25688,plain,
% 16.76/11.91 ((~(v145(constB123) <=> (~(v84(constB123, 1) | v84(constB123, 2) | (~v84(constB123, 0)))))) | (~v145(constB123)) | (~(v84(constB123, 1) | v84(constB123, 2) | (~v84(constB123, 0))))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25689,plain,
% 16.76/11.91 (~v145(constB123)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25688, 25687, 25685])).
% 16.76/11.91 tff(25690,plain,
% 16.76/11.91 (((~v141(constB123)) | (~v145(constB123))) | v145(constB123)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25691,plain,
% 16.76/11.91 ((~v141(constB123)) | (~v145(constB123))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25690, 25689])).
% 16.76/11.91 tff(25692,plain,
% 16.76/11.91 ((~(v144(constB123) <=> (~((~v141(constB123)) | (~v145(constB123)))))) | (~v144(constB123)) | (~((~v141(constB123)) | (~v145(constB123))))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25693,plain,
% 16.76/11.91 (~v144(constB123)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25692, 25691, 25683])).
% 16.76/11.91 tff(25694,plain,
% 16.76/11.91 (((~v143(constB123)) | (~v144(constB123))) | v144(constB123)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25695,plain,
% 16.76/11.91 ((~v143(constB123)) | (~v144(constB123))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25694, 25693])).
% 16.76/11.91 tff(25696,plain,
% 16.76/11.91 ((~(v142(constB123) <=> (~((~v143(constB123)) | (~v144(constB123)))))) | (~v142(constB123)) | (~((~v143(constB123)) | (~v144(constB123))))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25697,plain,
% 16.76/11.91 (~v142(constB123)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25696, 25695, 25681])).
% 16.76/11.91 tff(25698,plain,
% 16.76/11.91 ((~(v138(constB123) | v142(constB123))) | v138(constB123) | v142(constB123)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25699,plain,
% 16.76/11.91 (~(v138(constB123) | v142(constB123))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25698, 25697, 25679])).
% 16.76/11.91 tff(25700,plain,
% 16.76/11.91 ((~(v135(constB123) <=> (v138(constB123) | v142(constB123)))) | (~v135(constB123)) | (v138(constB123) | v142(constB123))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25701,plain,
% 16.76/11.91 (~v135(constB123)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25700, 25699, 25606])).
% 16.76/11.91 tff(25702,plain,
% 16.76/11.91 ((~(v137(constB124) <=> v135(constB123))) | (~v137(constB124)) | v135(constB123)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25703,plain,
% 16.76/11.91 (~v137(constB124)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25702, 25701, 25604])).
% 16.76/11.91 tff(25704,plain,
% 16.76/11.91 ((~(v132(constB124) <=> v137(constB124))) | (~v132(constB124)) | v137(constB124)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25705,plain,
% 16.76/11.91 (~v132(constB124)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25704, 25703, 25600])).
% 16.76/11.91 tff(25706,plain,
% 16.76/11.91 (((~v132(constB124)) | (~v139(constB124))) | v132(constB124)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25707,plain,
% 16.76/11.91 ((~v132(constB124)) | (~v139(constB124))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25706, 25705])).
% 16.76/11.91 tff(25708,plain,
% 16.76/11.91 ((~(v138(constB124) <=> (~((~v132(constB124)) | (~v139(constB124)))))) | (~v138(constB124)) | (~((~v132(constB124)) | (~v139(constB124))))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25709,plain,
% 16.76/11.91 (~v138(constB124)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25708, 25707, 25598])).
% 16.76/11.91 tff(25710,plain,
% 16.76/11.91 ((~(v138(constB124) | v142(constB124))) | v138(constB124) | v142(constB124)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25711,plain,
% 16.76/11.91 (~(v138(constB124) | v142(constB124))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25710, 25709, 25591])).
% 16.76/11.91 tff(25712,plain,
% 16.76/11.91 ((~(v135(constB124) <=> (v138(constB124) | v142(constB124)))) | (~v135(constB124)) | (v138(constB124) | v142(constB124))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25713,plain,
% 16.76/11.91 (~v135(constB124)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25712, 25711, 25566])).
% 16.76/11.91 tff(25714,plain,
% 16.76/11.91 ((~(v137(constB125) <=> v135(constB124))) | (~v137(constB125)) | v135(constB124)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25715,plain,
% 16.76/11.91 (~v137(constB125)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25714, 25713, 25564])).
% 16.76/11.91 tff(25716,plain,
% 16.76/11.91 ((~(v132(constB125) <=> v137(constB125))) | (~v132(constB125)) | v137(constB125)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25717,plain,
% 16.76/11.91 (~v132(constB125)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25716, 25715, 25560])).
% 16.76/11.91 tff(25718,plain,
% 16.76/11.91 (((~v132(constB125)) | (~v155(constB125))) | v132(constB125)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25719,plain,
% 16.76/11.91 ((~v132(constB125)) | (~v155(constB125))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25718, 25717])).
% 16.76/11.91 tff(25720,plain,
% 16.76/11.91 ((~(v154(constB125) <=> (~((~v132(constB125)) | (~v155(constB125)))))) | (~v154(constB125)) | (~((~v132(constB125)) | (~v155(constB125))))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25721,plain,
% 16.76/11.91 (~v154(constB125)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25720, 25719, 25558])).
% 16.76/11.91 tff(25722,plain,
% 16.76/11.91 ((~(v153(constB125) | v154(constB125))) | v153(constB125) | v154(constB125)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25723,plain,
% 16.76/11.91 (~(v153(constB125) | v154(constB125))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25722, 25721, 25551])).
% 16.76/11.91 tff(25724,plain,
% 16.76/11.91 ((~(v150(constB125) <=> (v153(constB125) | v154(constB125)))) | (~v150(constB125)) | (v153(constB125) | v154(constB125))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25725,plain,
% 16.76/11.91 (~v150(constB125)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25724, 25723, 25478])).
% 16.76/11.91 tff(25726,plain,
% 16.76/11.91 ((~(v152(constB126) <=> v150(constB125))) | (~v152(constB126)) | v150(constB125)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25727,plain,
% 16.76/11.91 (~v152(constB126)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25726, 25725, 25476])).
% 16.76/11.91 tff(25728,plain,
% 16.76/11.91 ((~(v130(constB126) <=> v152(constB126))) | (~v130(constB126)) | v152(constB126)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25729,plain,
% 16.76/11.91 (~v130(constB126)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25728, 25727, 25472])).
% 16.76/11.91 tff(25730,plain,
% 16.76/11.91 (((~v130(constB126)) | (~v139(constB126))) | v130(constB126)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25731,plain,
% 16.76/11.91 ((~v130(constB126)) | (~v139(constB126))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25730, 25729])).
% 16.76/11.91 tff(25732,plain,
% 16.76/11.91 ((~(v153(constB126) <=> (~((~v130(constB126)) | (~v139(constB126)))))) | (~v153(constB126)) | (~((~v130(constB126)) | (~v139(constB126))))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25733,plain,
% 16.76/11.91 (~v153(constB126)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25732, 25731, 25470])).
% 16.76/11.91 tff(25734,plain,
% 16.76/11.91 ((~(v153(constB126) | v154(constB126))) | v153(constB126) | v154(constB126)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25735,plain,
% 16.76/11.91 (~(v153(constB126) | v154(constB126))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25734, 25733, 25463])).
% 16.76/11.91 tff(25736,plain,
% 16.76/11.91 ((~(v150(constB126) <=> (v153(constB126) | v154(constB126)))) | (~v150(constB126)) | (v153(constB126) | v154(constB126))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25737,plain,
% 16.76/11.91 (~v150(constB126)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25736, 25735, 25428])).
% 16.76/11.91 tff(25738,plain,
% 16.76/11.91 ((~(v152(constB127) <=> v150(constB126))) | (~v152(constB127)) | v150(constB126)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25739,plain,
% 16.76/11.91 (~v152(constB127)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25738, 25737, 25426])).
% 16.76/11.91 tff(25740,plain,
% 16.76/11.91 ((~(v130(constB127) <=> v152(constB127))) | (~v130(constB127)) | v152(constB127)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25741,plain,
% 16.76/11.91 (~v130(constB127)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25740, 25739, 25422])).
% 16.76/11.91 tff(25742,plain,
% 16.76/11.91 (((~v130(constB127)) | (~v155(constB127))) | v130(constB127)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25743,plain,
% 16.76/11.91 ((~v130(constB127)) | (~v155(constB127))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25742, 25741])).
% 16.76/11.91 tff(25744,plain,
% 16.76/11.91 ((~(v164(constB127) <=> (~((~v130(constB127)) | (~v155(constB127)))))) | (~v164(constB127)) | (~((~v130(constB127)) | (~v155(constB127))))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25745,plain,
% 16.76/11.91 (~v164(constB127)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25744, 25743, 25420])).
% 16.76/11.91 tff(25746,plain,
% 16.76/11.91 ((~(v163(constB127) | v164(constB127))) | v163(constB127) | v164(constB127)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25747,plain,
% 16.76/11.91 (~(v163(constB127) | v164(constB127))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25746, 25745, 25413])).
% 16.76/11.91 tff(25748,plain,
% 16.76/11.91 ((~(v160(constB127) <=> (v163(constB127) | v164(constB127)))) | (~v160(constB127)) | (v163(constB127) | v164(constB127))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25749,plain,
% 16.76/11.91 (~v160(constB127)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25748, 25747, 25340])).
% 16.76/11.91 tff(25750,plain,
% 16.76/11.91 ((~(v162(constB128) <=> v160(constB127))) | (~v162(constB128)) | v160(constB127)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25751,plain,
% 16.76/11.91 (~v162(constB128)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25750, 25749, 25338])).
% 16.76/11.91 tff(25752,plain,
% 16.76/11.91 ((~(v128(constB128) <=> v162(constB128))) | (~v128(constB128)) | v162(constB128)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25753,plain,
% 16.76/11.91 (~v128(constB128)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25752, 25751, 25334])).
% 16.76/11.91 tff(25754,plain,
% 16.76/11.91 (((~v128(constB128)) | (~v139(constB128))) | v128(constB128)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25755,plain,
% 16.76/11.91 ((~v128(constB128)) | (~v139(constB128))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25754, 25753])).
% 16.76/11.91 tff(25756,plain,
% 16.76/11.91 ((~(v163(constB128) <=> (~((~v128(constB128)) | (~v139(constB128)))))) | (~v163(constB128)) | (~((~v128(constB128)) | (~v139(constB128))))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25757,plain,
% 16.76/11.91 (~v163(constB128)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25756, 25755, 25332])).
% 16.76/11.91 tff(25758,plain,
% 16.76/11.91 ((~(v163(constB128) | v164(constB128))) | v163(constB128) | v164(constB128)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25759,plain,
% 16.76/11.91 (~(v163(constB128) | v164(constB128))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25758, 25757, 25325])).
% 16.76/11.91 tff(25760,plain,
% 16.76/11.91 ((~(v160(constB128) <=> (v163(constB128) | v164(constB128)))) | (~v160(constB128)) | (v163(constB128) | v164(constB128))),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25761,plain,
% 16.76/11.91 (~v160(constB128)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25760, 25759, 25290])).
% 16.76/11.91 tff(25762,plain,
% 16.76/11.91 ((~(v162(constB129) <=> v160(constB128))) | (~v162(constB129)) | v160(constB128)),
% 16.76/11.91 inference(tautology,[status(thm)],[])).
% 16.76/11.91 tff(25763,plain,
% 16.76/11.91 (~v162(constB129)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25762, 25761, 25288])).
% 16.76/11.91 tff(25764,plain,
% 16.76/11.91 ($false),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25763, 25284])).
% 16.76/11.91 tff(25765,plain,(~(constB129 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.76/11.91 tff(25766,assumption,(constB109 = VarCurr!0), introduced(assumption)).
% 16.76/11.91 tff(25767,plain,
% 16.76/11.91 (v162(constB109) <=> v162(VarCurr!0)),
% 16.76/11.91 inference(monotonicity,[status(thm)],[25766])).
% 16.76/11.91 tff(25768,plain,
% 16.76/11.91 (v162(VarCurr!0) <=> v162(constB109)),
% 16.76/11.91 inference(symmetry,[status(thm)],[25767])).
% 16.76/11.91 tff(25769,plain,
% 16.76/11.91 (v162(constB109)),
% 16.76/11.91 inference(modus_ponens,[status(thm)],[59, 25768])).
% 16.76/11.91 tff(25770,plain,
% 16.76/11.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB108, constB109)) | (v162(constB109) <=> v160(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB108, constB109)) | (v162(constB109) <=> v160(constB108)))),
% 16.76/11.91 inference(rewrite,[status(thm)],[])).
% 16.76/11.91 tff(25771,plain,
% 16.76/11.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB108, constB109)) | (v162(constB109) <=> v160(constB108)))),
% 16.76/11.91 inference(quant_inst,[status(thm)],[])).
% 16.76/11.91 tff(25772,plain,
% 16.76/11.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB108, constB109)) | (v162(constB109) <=> v160(constB108))),
% 16.76/11.91 inference(modus_ponens,[status(thm)],[25771, 25770])).
% 16.76/11.91 tff(25773,plain,
% 16.76/11.91 (v162(constB109) <=> v160(constB108)),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25772, 16330, 70])).
% 16.76/11.91 tff(25774,plain,
% 16.76/11.91 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB108) <=> (v163(constB108) | v164(constB108)))),
% 16.76/11.91 inference(quant_inst,[status(thm)],[])).
% 16.76/11.91 tff(25775,plain,
% 16.76/11.91 (v160(constB108) <=> (v163(constB108) | v164(constB108))),
% 16.76/11.91 inference(unit_resolution,[status(thm)],[25774, 84])).
% 16.76/11.91 tff(25776,plain,
% 16.76/11.91 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB108) <=> (~((~v130(constB108)) | (~v155(constB108)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB108) <=> (~((~v130(constB108)) | (~v155(constB108))))))),
% 16.76/11.91 inference(rewrite,[status(thm)],[])).
% 16.76/11.91 tff(25777,plain,
% 16.76/11.91 ((v164(constB108) <=> (~((~v155(constB108)) | (~v130(constB108))))) <=> (v164(constB108) <=> (~((~v130(constB108)) | (~v155(constB108)))))),
% 16.76/11.91 inference(rewrite,[status(thm)],[])).
% 16.76/11.91 tff(25778,plain,
% 16.76/11.91 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB108) <=> (~((~v155(constB108)) | (~v130(constB108)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB108) <=> (~((~v130(constB108)) | (~v155(constB108))))))),
% 16.76/11.91 inference(monotonicity,[status(thm)],[25777])).
% 16.76/11.91 tff(25779,plain,
% 16.76/11.91 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB108) <=> (~((~v155(constB108)) | (~v130(constB108)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB108) <=> (~((~v130(constB108)) | (~v155(constB108))))))),
% 16.76/11.92 inference(transitivity,[status(thm)],[25778, 25776])).
% 16.76/11.92 tff(25780,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB108) <=> (~((~v155(constB108)) | (~v130(constB108)))))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25781,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB108) <=> (~((~v130(constB108)) | (~v155(constB108)))))),
% 16.76/11.92 inference(modus_ponens,[status(thm)],[25780, 25779])).
% 16.76/11.92 tff(25782,plain,
% 16.76/11.92 (v164(constB108) <=> (~((~v130(constB108)) | (~v155(constB108))))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25781, 96])).
% 16.76/11.92 tff(25783,plain,
% 16.76/11.92 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB108) <=> (~((~v141(constB108)) | (~v143(constB108)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB108) <=> (~((~v141(constB108)) | (~v143(constB108))))))),
% 16.76/11.92 inference(rewrite,[status(thm)],[])).
% 16.76/11.92 tff(25784,plain,
% 16.76/11.92 ((v155(constB108) <=> (~((~v143(constB108)) | (~v141(constB108))))) <=> (v155(constB108) <=> (~((~v141(constB108)) | (~v143(constB108)))))),
% 16.76/11.92 inference(rewrite,[status(thm)],[])).
% 16.76/11.92 tff(25785,plain,
% 16.76/11.92 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB108) <=> (~((~v143(constB108)) | (~v141(constB108)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB108) <=> (~((~v141(constB108)) | (~v143(constB108))))))),
% 16.76/11.92 inference(monotonicity,[status(thm)],[25784])).
% 16.76/11.92 tff(25786,plain,
% 16.76/11.92 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB108) <=> (~((~v143(constB108)) | (~v141(constB108)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB108) <=> (~((~v141(constB108)) | (~v143(constB108))))))),
% 16.76/11.92 inference(transitivity,[status(thm)],[25785, 25783])).
% 16.76/11.92 tff(25787,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB108) <=> (~((~v143(constB108)) | (~v141(constB108)))))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25788,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB108) <=> (~((~v141(constB108)) | (~v143(constB108)))))),
% 16.76/11.92 inference(modus_ponens,[status(thm)],[25787, 25786])).
% 16.76/11.92 tff(25789,plain,
% 16.76/11.92 (v155(constB108) <=> (~((~v141(constB108)) | (~v143(constB108))))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25788, 113])).
% 16.76/11.92 tff(25790,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB108) <=> (~((~v39(constB108)) | (~v9(constB108)))))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25791,plain,
% 16.76/11.92 (v141(constB108) <=> (~((~v39(constB108)) | (~v9(constB108))))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25790, 130])).
% 16.76/11.92 tff(25792,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB108)) <=> v1(constB108))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25793,plain,
% 16.76/11.92 ((~v39(constB108)) <=> v1(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25792, 139])).
% 16.76/11.92 tff(25794,plain,
% 16.76/11.92 ((~((~v39(constB108)) <=> v1(constB108))) | (~v39(constB108)) | (~v1(constB108))),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25795,plain,
% 16.76/11.92 ((~((~v39(constB108)) <=> v1(constB108))) | (~v39(constB108))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25794, 17101])).
% 16.76/11.92 tff(25796,plain,
% 16.76/11.92 (~v39(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25795, 25793])).
% 16.76/11.92 tff(25797,plain,
% 16.76/11.92 (((~v39(constB108)) | (~v9(constB108))) | v39(constB108)),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25798,plain,
% 16.76/11.92 ((~v39(constB108)) | (~v9(constB108))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25797, 25796])).
% 16.76/11.92 tff(25799,plain,
% 16.76/11.92 ((~(v141(constB108) <=> (~((~v39(constB108)) | (~v9(constB108)))))) | (~v141(constB108)) | (~((~v39(constB108)) | (~v9(constB108))))),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25800,plain,
% 16.76/11.92 ((~(v141(constB108) <=> (~((~v39(constB108)) | (~v9(constB108)))))) | (~v141(constB108))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25799, 25798])).
% 16.76/11.92 tff(25801,plain,
% 16.76/11.92 (~v141(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25800, 25791])).
% 16.76/11.92 tff(25802,plain,
% 16.76/11.92 (((~v141(constB108)) | (~v143(constB108))) | v141(constB108)),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25803,plain,
% 16.76/11.92 ((~v141(constB108)) | (~v143(constB108))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25802, 25801])).
% 16.76/11.92 tff(25804,plain,
% 16.76/11.92 ((~(v155(constB108) <=> (~((~v141(constB108)) | (~v143(constB108)))))) | (~v155(constB108)) | (~((~v141(constB108)) | (~v143(constB108))))),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25805,plain,
% 16.76/11.92 ((~(v155(constB108) <=> (~((~v141(constB108)) | (~v143(constB108)))))) | (~v155(constB108))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25804, 25803])).
% 16.76/11.92 tff(25806,plain,
% 16.76/11.92 (~v155(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25805, 25789])).
% 16.76/11.92 tff(25807,plain,
% 16.76/11.92 (((~v130(constB108)) | (~v155(constB108))) | v155(constB108)),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25808,plain,
% 16.76/11.92 ((~v130(constB108)) | (~v155(constB108))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25807, 25806])).
% 16.76/11.92 tff(25809,plain,
% 16.76/11.92 ((~(v164(constB108) <=> (~((~v130(constB108)) | (~v155(constB108)))))) | (~v164(constB108)) | (~((~v130(constB108)) | (~v155(constB108))))),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25810,plain,
% 16.76/11.92 (~v164(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25809, 25808, 25782])).
% 16.76/11.92 tff(25811,plain,
% 16.76/11.92 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB108) <=> (~((~v128(constB108)) | (~v139(constB108)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB108) <=> (~((~v128(constB108)) | (~v139(constB108))))))),
% 16.76/11.92 inference(rewrite,[status(thm)],[])).
% 16.76/11.92 tff(25812,plain,
% 16.76/11.92 ((v163(constB108) <=> (~((~v139(constB108)) | (~v128(constB108))))) <=> (v163(constB108) <=> (~((~v128(constB108)) | (~v139(constB108)))))),
% 16.76/11.92 inference(rewrite,[status(thm)],[])).
% 16.76/11.92 tff(25813,plain,
% 16.76/11.92 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB108) <=> (~((~v139(constB108)) | (~v128(constB108)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB108) <=> (~((~v128(constB108)) | (~v139(constB108))))))),
% 16.76/11.92 inference(monotonicity,[status(thm)],[25812])).
% 16.76/11.92 tff(25814,plain,
% 16.76/11.92 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB108) <=> (~((~v139(constB108)) | (~v128(constB108)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB108) <=> (~((~v128(constB108)) | (~v139(constB108))))))),
% 16.76/11.92 inference(transitivity,[status(thm)],[25813, 25811])).
% 16.76/11.92 tff(25815,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB108) <=> (~((~v139(constB108)) | (~v128(constB108)))))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25816,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB108) <=> (~((~v128(constB108)) | (~v139(constB108)))))),
% 16.76/11.92 inference(modus_ponens,[status(thm)],[25815, 25814])).
% 16.76/11.92 tff(25817,plain,
% 16.76/11.92 (v163(constB108) <=> (~((~v128(constB108)) | (~v139(constB108))))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25816, 171])).
% 16.76/11.92 tff(25818,plain,
% 16.76/11.92 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB108) <=> v162(constB108))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25819,plain,
% 16.76/11.92 (v128(constB108) <=> v162(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25818, 13])).
% 16.76/11.92 tff(25820,plain,
% 16.76/11.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB107, constB108)) | (v162(constB108) <=> v160(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB107, constB108)) | (v162(constB108) <=> v160(constB107)))),
% 16.76/11.92 inference(rewrite,[status(thm)],[])).
% 16.76/11.92 tff(25821,plain,
% 16.76/11.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB107, constB108)) | (v162(constB108) <=> v160(constB107)))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25822,plain,
% 16.76/11.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB107, constB108)) | (v162(constB108) <=> v160(constB107))),
% 16.76/11.92 inference(modus_ponens,[status(thm)],[25821, 25820])).
% 16.76/11.92 tff(25823,plain,
% 16.76/11.92 (v162(constB108) <=> v160(constB107)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25822, 16366, 70])).
% 16.76/11.92 tff(25824,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB107) <=> (v163(constB107) | v164(constB107)))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25825,plain,
% 16.76/11.92 (v160(constB107) <=> (v163(constB107) | v164(constB107))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25824, 84])).
% 16.76/11.92 tff(25826,plain,
% 16.76/11.92 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB107) <=> (~((~v128(constB107)) | (~v139(constB107)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB107) <=> (~((~v128(constB107)) | (~v139(constB107))))))),
% 16.76/11.92 inference(rewrite,[status(thm)],[])).
% 16.76/11.92 tff(25827,plain,
% 16.76/11.92 ((v163(constB107) <=> (~((~v139(constB107)) | (~v128(constB107))))) <=> (v163(constB107) <=> (~((~v128(constB107)) | (~v139(constB107)))))),
% 16.76/11.92 inference(rewrite,[status(thm)],[])).
% 16.76/11.92 tff(25828,plain,
% 16.76/11.92 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB107) <=> (~((~v139(constB107)) | (~v128(constB107)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB107) <=> (~((~v128(constB107)) | (~v139(constB107))))))),
% 16.76/11.92 inference(monotonicity,[status(thm)],[25827])).
% 16.76/11.92 tff(25829,plain,
% 16.76/11.92 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB107) <=> (~((~v139(constB107)) | (~v128(constB107)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB107) <=> (~((~v128(constB107)) | (~v139(constB107))))))),
% 16.76/11.92 inference(transitivity,[status(thm)],[25828, 25826])).
% 16.76/11.92 tff(25830,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB107) <=> (~((~v139(constB107)) | (~v128(constB107)))))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25831,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB107) <=> (~((~v128(constB107)) | (~v139(constB107)))))),
% 16.76/11.92 inference(modus_ponens,[status(thm)],[25830, 25829])).
% 16.76/11.92 tff(25832,plain,
% 16.76/11.92 (v163(constB107) <=> (~((~v128(constB107)) | (~v139(constB107))))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25831, 171])).
% 16.76/11.92 tff(25833,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB107)) <=> v140(constB107))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25834,plain,
% 16.76/11.92 ((~v139(constB107)) <=> v140(constB107)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25833, 203])).
% 16.76/11.92 tff(25835,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB107) <=> (v141(constB107) | v26(constB107)))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25836,plain,
% 16.76/11.92 (v140(constB107) <=> (v141(constB107) | v26(constB107))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25835, 212])).
% 16.76/11.92 tff(25837,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB107) <=> (~((~v39(constB107)) | (~v9(constB107)))))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25838,plain,
% 16.76/11.92 (v141(constB107) <=> (~((~v39(constB107)) | (~v9(constB107))))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25837, 130])).
% 16.76/11.92 tff(25839,plain,
% 16.76/11.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB107, constB108)) | (v13(constB108) <=> v9(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB107, constB108)) | (v13(constB108) <=> v9(constB107)))),
% 16.76/11.92 inference(rewrite,[status(thm)],[])).
% 16.76/11.92 tff(25840,plain,
% 16.76/11.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB107, constB108)) | (v13(constB108) <=> v9(constB107)))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25841,plain,
% 16.76/11.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB107, constB108)) | (v13(constB108) <=> v9(constB107))),
% 16.76/11.92 inference(modus_ponens,[status(thm)],[25840, 25839])).
% 16.76/11.92 tff(25842,plain,
% 16.76/11.92 (v13(constB108) <=> v9(constB107)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25841, 16366, 226])).
% 16.76/11.92 tff(25843,plain,
% 16.76/11.92 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB108) <=> v13(constB108))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25844,plain,
% 16.76/11.92 (v6(constB108) <=> v13(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25843, 240])).
% 16.76/11.92 tff(25845,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB108)) <=> v6(constB108))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25846,plain,
% 16.76/11.92 ((~v21(constB108)) <=> v6(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25845, 249])).
% 16.76/11.92 tff(25847,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB108) <=> (v20(constB108) | v21(constB108)))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25848,plain,
% 16.76/11.92 (v19(constB108) <=> (v20(constB108) | v21(constB108))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25847, 258])).
% 16.76/11.92 tff(25849,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB108) <=> (~((~v19(constB108)) | (~v22(constB108)))))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25850,plain,
% 16.76/11.92 (v18(constB108) <=> (~((~v19(constB108)) | (~v22(constB108))))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25849, 270])).
% 16.76/11.92 tff(25851,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB108)) <=> v18(constB108))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25852,plain,
% 16.76/11.92 ((~v4(constB108)) <=> v18(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25851, 279])).
% 16.76/11.92 tff(25853,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB108)),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25854,plain,
% 16.76/11.92 (v4(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25853, 288])).
% 16.76/11.92 tff(25855,plain,
% 16.76/11.92 ((~((~v4(constB108)) <=> v18(constB108))) | (~v4(constB108)) | (~v18(constB108))),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25856,plain,
% 16.76/11.92 (~v18(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25855, 25854, 25852])).
% 16.76/11.92 tff(25857,plain,
% 16.76/11.92 ((~(v18(constB108) <=> (~((~v19(constB108)) | (~v22(constB108)))))) | v18(constB108) | ((~v19(constB108)) | (~v22(constB108)))),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25858,plain,
% 16.76/11.92 ((~v19(constB108)) | (~v22(constB108))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25857, 25856, 25850])).
% 16.76/11.92 tff(25859,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB108) <=> (v1(constB108) | v6(constB108)))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25860,plain,
% 16.76/11.92 (v22(constB108) <=> (v1(constB108) | v6(constB108))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25859, 301])).
% 16.76/11.92 tff(25861,plain,
% 16.76/11.92 ((v1(constB108) | v6(constB108)) | (~v1(constB108))),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25862,plain,
% 16.76/11.92 (v1(constB108) | v6(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25861, 17101])).
% 16.76/11.92 tff(25863,plain,
% 16.76/11.92 ((~(v22(constB108) <=> (v1(constB108) | v6(constB108)))) | v22(constB108) | (~(v1(constB108) | v6(constB108)))),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25864,plain,
% 16.76/11.92 ((~(v22(constB108) <=> (v1(constB108) | v6(constB108)))) | v22(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25863, 25862])).
% 16.76/11.92 tff(25865,plain,
% 16.76/11.92 (v22(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25864, 25860])).
% 16.76/11.92 tff(25866,plain,
% 16.76/11.92 ((~((~v19(constB108)) | (~v22(constB108)))) | (~v19(constB108)) | (~v22(constB108))),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25867,plain,
% 16.76/11.92 ((~((~v19(constB108)) | (~v22(constB108)))) | (~v19(constB108))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25866, 25865])).
% 16.76/11.92 tff(25868,plain,
% 16.76/11.92 (~v19(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25867, 25858])).
% 16.76/11.92 tff(25869,plain,
% 16.76/11.92 ((~(v19(constB108) <=> (v20(constB108) | v21(constB108)))) | v19(constB108) | (~(v20(constB108) | v21(constB108)))),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25870,plain,
% 16.76/11.92 (~(v20(constB108) | v21(constB108))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25869, 25868, 25848])).
% 16.76/11.92 tff(25871,plain,
% 16.76/11.92 ((v20(constB108) | v21(constB108)) | (~v21(constB108))),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25872,plain,
% 16.76/11.92 (~v21(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25871, 25870])).
% 16.76/11.92 tff(25873,plain,
% 16.76/11.92 ((~((~v21(constB108)) <=> v6(constB108))) | v21(constB108) | v6(constB108)),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25874,plain,
% 16.76/11.92 (v6(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25873, 25872, 25846])).
% 16.76/11.92 tff(25875,plain,
% 16.76/11.92 ((~(v6(constB108) <=> v13(constB108))) | (~v6(constB108)) | v13(constB108)),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25876,plain,
% 16.76/11.92 (v13(constB108)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25875, 25874, 25844])).
% 16.76/11.92 tff(25877,plain,
% 16.76/11.92 ((~(v13(constB108) <=> v9(constB107))) | (~v13(constB108)) | v9(constB107)),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25878,plain,
% 16.76/11.92 (v9(constB107)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25877, 25876, 25842])).
% 16.76/11.92 tff(25879,plain,
% 16.76/11.92 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB107)) <=> v1(constB107))),
% 16.76/11.92 inference(quant_inst,[status(thm)],[])).
% 16.76/11.92 tff(25880,plain,
% 16.76/11.92 ((~v39(constB107)) <=> v1(constB107)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25879, 139])).
% 16.76/11.92 tff(25881,plain,
% 16.76/11.92 ((~((~v39(constB107)) <=> v1(constB107))) | v39(constB107) | v1(constB107)),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25882,plain,
% 16.76/11.92 ((~((~v39(constB107)) <=> v1(constB107))) | v39(constB107)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25881, 16402])).
% 16.76/11.92 tff(25883,plain,
% 16.76/11.92 (v39(constB107)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25882, 25880])).
% 16.76/11.92 tff(25884,plain,
% 16.76/11.92 ((~((~v39(constB107)) | (~v9(constB107)))) | (~v39(constB107)) | (~v9(constB107))),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25885,plain,
% 16.76/11.92 ((~((~v39(constB107)) | (~v9(constB107)))) | (~v9(constB107))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25884, 25883])).
% 16.76/11.92 tff(25886,plain,
% 16.76/11.92 (~((~v39(constB107)) | (~v9(constB107)))),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25885, 25878])).
% 16.76/11.92 tff(25887,plain,
% 16.76/11.92 ((~(v141(constB107) <=> (~((~v39(constB107)) | (~v9(constB107)))))) | v141(constB107) | ((~v39(constB107)) | (~v9(constB107)))),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25888,plain,
% 16.76/11.92 (v141(constB107)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25887, 25886, 25838])).
% 16.76/11.92 tff(25889,plain,
% 16.76/11.92 ((v141(constB107) | v26(constB107)) | (~v141(constB107))),
% 16.76/11.92 inference(tautology,[status(thm)],[])).
% 16.76/11.92 tff(25890,plain,
% 16.76/11.92 (v141(constB107) | v26(constB107)),
% 16.76/11.92 inference(unit_resolution,[status(thm)],[25889, 25888])).
% 16.76/11.92 tff(25891,plain,
% 16.76/11.93 ((~(v140(constB107) <=> (v141(constB107) | v26(constB107)))) | v140(constB107) | (~(v141(constB107) | v26(constB107)))),
% 16.76/11.93 inference(tautology,[status(thm)],[])).
% 16.76/11.93 tff(25892,plain,
% 16.76/11.93 (v140(constB107)),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25891, 25890, 25836])).
% 16.76/11.93 tff(25893,plain,
% 16.76/11.93 ((~((~v139(constB107)) <=> v140(constB107))) | (~v139(constB107)) | (~v140(constB107))),
% 16.76/11.93 inference(tautology,[status(thm)],[])).
% 16.76/11.93 tff(25894,plain,
% 16.76/11.93 (~v139(constB107)),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25893, 25892, 25834])).
% 16.76/11.93 tff(25895,plain,
% 16.76/11.93 (((~v128(constB107)) | (~v139(constB107))) | v139(constB107)),
% 16.76/11.93 inference(tautology,[status(thm)],[])).
% 16.76/11.93 tff(25896,plain,
% 16.76/11.93 ((~v128(constB107)) | (~v139(constB107))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25895, 25894])).
% 16.76/11.93 tff(25897,plain,
% 16.76/11.93 ((~(v163(constB107) <=> (~((~v128(constB107)) | (~v139(constB107)))))) | (~v163(constB107)) | (~((~v128(constB107)) | (~v139(constB107))))),
% 16.76/11.93 inference(tautology,[status(thm)],[])).
% 16.76/11.93 tff(25898,plain,
% 16.76/11.93 (~v163(constB107)),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25897, 25896, 25832])).
% 16.76/11.93 tff(25899,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB107) <=> (~((~v130(constB107)) | (~v155(constB107)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB107) <=> (~((~v130(constB107)) | (~v155(constB107))))))),
% 16.76/11.93 inference(rewrite,[status(thm)],[])).
% 16.76/11.93 tff(25900,plain,
% 16.76/11.93 ((v164(constB107) <=> (~((~v155(constB107)) | (~v130(constB107))))) <=> (v164(constB107) <=> (~((~v130(constB107)) | (~v155(constB107)))))),
% 16.76/11.93 inference(rewrite,[status(thm)],[])).
% 16.76/11.93 tff(25901,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB107) <=> (~((~v155(constB107)) | (~v130(constB107)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB107) <=> (~((~v130(constB107)) | (~v155(constB107))))))),
% 16.76/11.93 inference(monotonicity,[status(thm)],[25900])).
% 16.76/11.93 tff(25902,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB107) <=> (~((~v155(constB107)) | (~v130(constB107)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB107) <=> (~((~v130(constB107)) | (~v155(constB107))))))),
% 16.76/11.93 inference(transitivity,[status(thm)],[25901, 25899])).
% 16.76/11.93 tff(25903,plain,
% 16.76/11.93 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB107) <=> (~((~v155(constB107)) | (~v130(constB107)))))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25904,plain,
% 16.76/11.93 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB107) <=> (~((~v130(constB107)) | (~v155(constB107)))))),
% 16.76/11.93 inference(modus_ponens,[status(thm)],[25903, 25902])).
% 16.76/11.93 tff(25905,plain,
% 16.76/11.93 (v164(constB107) <=> (~((~v130(constB107)) | (~v155(constB107))))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25904, 96])).
% 16.76/11.93 tff(25906,plain,
% 16.76/11.93 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB107) <=> v152(constB107))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25907,plain,
% 16.76/11.93 (v130(constB107) <=> v152(constB107)),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25906, 361])).
% 16.76/11.93 tff(25908,plain,
% 16.76/11.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB106, constB107)) | (v152(constB107) <=> v150(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB106, constB107)) | (v152(constB107) <=> v150(constB106)))),
% 16.76/11.93 inference(rewrite,[status(thm)],[])).
% 16.76/11.93 tff(25909,plain,
% 16.76/11.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB106, constB107)) | (v152(constB107) <=> v150(constB106)))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25910,plain,
% 16.76/11.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB106, constB107)) | (v152(constB107) <=> v150(constB106))),
% 16.76/11.93 inference(modus_ponens,[status(thm)],[25909, 25908])).
% 16.76/11.93 tff(25911,plain,
% 16.76/11.93 (v152(constB107) <=> v150(constB106)),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25910, 5887, 373])).
% 16.76/11.93 tff(25912,plain,
% 16.76/11.93 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB106) <=> (v153(constB106) | v154(constB106)))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25913,plain,
% 16.76/11.93 (v150(constB106) <=> (v153(constB106) | v154(constB106))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25912, 387])).
% 16.76/11.93 tff(25914,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB106) <=> (~((~v132(constB106)) | (~v155(constB106)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB106) <=> (~((~v132(constB106)) | (~v155(constB106))))))),
% 16.76/11.93 inference(rewrite,[status(thm)],[])).
% 16.76/11.93 tff(25915,plain,
% 16.76/11.93 ((v154(constB106) <=> (~((~v155(constB106)) | (~v132(constB106))))) <=> (v154(constB106) <=> (~((~v132(constB106)) | (~v155(constB106)))))),
% 16.76/11.93 inference(rewrite,[status(thm)],[])).
% 16.76/11.93 tff(25916,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB106) <=> (~((~v155(constB106)) | (~v132(constB106)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB106) <=> (~((~v132(constB106)) | (~v155(constB106))))))),
% 16.76/11.93 inference(monotonicity,[status(thm)],[25915])).
% 16.76/11.93 tff(25917,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB106) <=> (~((~v155(constB106)) | (~v132(constB106)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB106) <=> (~((~v132(constB106)) | (~v155(constB106))))))),
% 16.76/11.93 inference(transitivity,[status(thm)],[25916, 25914])).
% 16.76/11.93 tff(25918,plain,
% 16.76/11.93 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB106) <=> (~((~v155(constB106)) | (~v132(constB106)))))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25919,plain,
% 16.76/11.93 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB106) <=> (~((~v132(constB106)) | (~v155(constB106)))))),
% 16.76/11.93 inference(modus_ponens,[status(thm)],[25918, 25917])).
% 16.76/11.93 tff(25920,plain,
% 16.76/11.93 (v154(constB106) <=> (~((~v132(constB106)) | (~v155(constB106))))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25919, 399])).
% 16.76/11.93 tff(25921,plain,
% 16.76/11.93 (((~v132(constB106)) | (~v155(constB106))) | v155(constB106)),
% 16.76/11.93 inference(tautology,[status(thm)],[])).
% 16.76/11.93 tff(25922,plain,
% 16.76/11.93 ((~v132(constB106)) | (~v155(constB106))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25921, 5927])).
% 16.76/11.93 tff(25923,plain,
% 16.76/11.93 ((~(v154(constB106) <=> (~((~v132(constB106)) | (~v155(constB106)))))) | (~v154(constB106)) | (~((~v132(constB106)) | (~v155(constB106))))),
% 16.76/11.93 inference(tautology,[status(thm)],[])).
% 16.76/11.93 tff(25924,plain,
% 16.76/11.93 (~v154(constB106)),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25923, 25922, 25920])).
% 16.76/11.93 tff(25925,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB106) <=> (~((~v130(constB106)) | (~v139(constB106)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB106) <=> (~((~v130(constB106)) | (~v139(constB106))))))),
% 16.76/11.93 inference(rewrite,[status(thm)],[])).
% 16.76/11.93 tff(25926,plain,
% 16.76/11.93 ((v153(constB106) <=> (~((~v139(constB106)) | (~v130(constB106))))) <=> (v153(constB106) <=> (~((~v130(constB106)) | (~v139(constB106)))))),
% 16.76/11.93 inference(rewrite,[status(thm)],[])).
% 16.76/11.93 tff(25927,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB106) <=> (~((~v139(constB106)) | (~v130(constB106)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB106) <=> (~((~v130(constB106)) | (~v139(constB106))))))),
% 16.76/11.93 inference(monotonicity,[status(thm)],[25926])).
% 16.76/11.93 tff(25928,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB106) <=> (~((~v139(constB106)) | (~v130(constB106)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB106) <=> (~((~v130(constB106)) | (~v139(constB106))))))),
% 16.76/11.93 inference(transitivity,[status(thm)],[25927, 25925])).
% 16.76/11.93 tff(25929,plain,
% 16.76/11.93 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB106) <=> (~((~v139(constB106)) | (~v130(constB106)))))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25930,plain,
% 16.76/11.93 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB106) <=> (~((~v130(constB106)) | (~v139(constB106)))))),
% 16.76/11.93 inference(modus_ponens,[status(thm)],[25929, 25928])).
% 16.76/11.93 tff(25931,plain,
% 16.76/11.93 (v153(constB106) <=> (~((~v130(constB106)) | (~v139(constB106))))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25930, 447])).
% 16.76/11.93 tff(25932,plain,
% 16.76/11.93 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB106) <=> v152(constB106))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25933,plain,
% 16.76/11.93 (v130(constB106) <=> v152(constB106)),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25932, 361])).
% 16.76/11.93 tff(25934,plain,
% 16.76/11.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB105, constB106)) | (v152(constB106) <=> v150(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB105, constB106)) | (v152(constB106) <=> v150(constB105)))),
% 16.76/11.93 inference(rewrite,[status(thm)],[])).
% 16.76/11.93 tff(25935,plain,
% 16.76/11.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB105, constB106)) | (v152(constB106) <=> v150(constB105)))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25936,plain,
% 16.76/11.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB105, constB106)) | (v152(constB106) <=> v150(constB105))),
% 16.76/11.93 inference(modus_ponens,[status(thm)],[25935, 25934])).
% 16.76/11.93 tff(25937,plain,
% 16.76/11.93 (v152(constB106) <=> v150(constB105)),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25936, 5943, 373])).
% 16.76/11.93 tff(25938,plain,
% 16.76/11.93 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB105) <=> (v153(constB105) | v154(constB105)))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25939,plain,
% 16.76/11.93 (v150(constB105) <=> (v153(constB105) | v154(constB105))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25938, 387])).
% 16.76/11.93 tff(25940,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB105) <=> (~((~v130(constB105)) | (~v139(constB105)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB105) <=> (~((~v130(constB105)) | (~v139(constB105))))))),
% 16.76/11.93 inference(rewrite,[status(thm)],[])).
% 16.76/11.93 tff(25941,plain,
% 16.76/11.93 ((v153(constB105) <=> (~((~v139(constB105)) | (~v130(constB105))))) <=> (v153(constB105) <=> (~((~v130(constB105)) | (~v139(constB105)))))),
% 16.76/11.93 inference(rewrite,[status(thm)],[])).
% 16.76/11.93 tff(25942,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB105) <=> (~((~v139(constB105)) | (~v130(constB105)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB105) <=> (~((~v130(constB105)) | (~v139(constB105))))))),
% 16.76/11.93 inference(monotonicity,[status(thm)],[25941])).
% 16.76/11.93 tff(25943,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB105) <=> (~((~v139(constB105)) | (~v130(constB105)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB105) <=> (~((~v130(constB105)) | (~v139(constB105))))))),
% 16.76/11.93 inference(transitivity,[status(thm)],[25942, 25940])).
% 16.76/11.93 tff(25944,plain,
% 16.76/11.93 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB105) <=> (~((~v139(constB105)) | (~v130(constB105)))))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25945,plain,
% 16.76/11.93 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB105) <=> (~((~v130(constB105)) | (~v139(constB105)))))),
% 16.76/11.93 inference(modus_ponens,[status(thm)],[25944, 25943])).
% 16.76/11.93 tff(25946,plain,
% 16.76/11.93 (v153(constB105) <=> (~((~v130(constB105)) | (~v139(constB105))))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25945, 447])).
% 16.76/11.93 tff(25947,plain,
% 16.76/11.93 (((~v130(constB105)) | (~v139(constB105))) | v139(constB105)),
% 16.76/11.93 inference(tautology,[status(thm)],[])).
% 16.76/11.93 tff(25948,plain,
% 16.76/11.93 ((~v130(constB105)) | (~v139(constB105))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25947, 6021])).
% 16.76/11.93 tff(25949,plain,
% 16.76/11.93 ((~(v153(constB105) <=> (~((~v130(constB105)) | (~v139(constB105)))))) | (~v153(constB105)) | (~((~v130(constB105)) | (~v139(constB105))))),
% 16.76/11.93 inference(tautology,[status(thm)],[])).
% 16.76/11.93 tff(25950,plain,
% 16.76/11.93 (~v153(constB105)),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25949, 25948, 25946])).
% 16.76/11.93 tff(25951,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB105) <=> (~((~v132(constB105)) | (~v155(constB105)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB105) <=> (~((~v132(constB105)) | (~v155(constB105))))))),
% 16.76/11.93 inference(rewrite,[status(thm)],[])).
% 16.76/11.93 tff(25952,plain,
% 16.76/11.93 ((v154(constB105) <=> (~((~v155(constB105)) | (~v132(constB105))))) <=> (v154(constB105) <=> (~((~v132(constB105)) | (~v155(constB105)))))),
% 16.76/11.93 inference(rewrite,[status(thm)],[])).
% 16.76/11.93 tff(25953,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB105) <=> (~((~v155(constB105)) | (~v132(constB105)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB105) <=> (~((~v132(constB105)) | (~v155(constB105))))))),
% 16.76/11.93 inference(monotonicity,[status(thm)],[25952])).
% 16.76/11.93 tff(25954,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB105) <=> (~((~v155(constB105)) | (~v132(constB105)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB105) <=> (~((~v132(constB105)) | (~v155(constB105))))))),
% 16.76/11.93 inference(transitivity,[status(thm)],[25953, 25951])).
% 16.76/11.93 tff(25955,plain,
% 16.76/11.93 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB105) <=> (~((~v155(constB105)) | (~v132(constB105)))))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25956,plain,
% 16.76/11.93 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB105) <=> (~((~v132(constB105)) | (~v155(constB105)))))),
% 16.76/11.93 inference(modus_ponens,[status(thm)],[25955, 25954])).
% 16.76/11.93 tff(25957,plain,
% 16.76/11.93 (v154(constB105) <=> (~((~v132(constB105)) | (~v155(constB105))))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25956, 399])).
% 16.76/11.93 tff(25958,plain,
% 16.76/11.93 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB105) <=> v137(constB105))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25959,plain,
% 16.76/11.93 (v132(constB105) <=> v137(constB105)),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25958, 558])).
% 16.76/11.93 tff(25960,plain,
% 16.76/11.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB104, constB105)) | (v137(constB105) <=> v135(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB104, constB105)) | (v137(constB105) <=> v135(constB104)))),
% 16.76/11.93 inference(rewrite,[status(thm)],[])).
% 16.76/11.93 tff(25961,plain,
% 16.76/11.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB104, constB105)) | (v137(constB105) <=> v135(constB104)))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25962,plain,
% 16.76/11.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB104, constB105)) | (v137(constB105) <=> v135(constB104))),
% 16.76/11.93 inference(modus_ponens,[status(thm)],[25961, 25960])).
% 16.76/11.93 tff(25963,plain,
% 16.76/11.93 (v137(constB105) <=> v135(constB104)),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25962, 6037, 570])).
% 16.76/11.93 tff(25964,plain,
% 16.76/11.93 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB104) <=> (v138(constB104) | v142(constB104)))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25965,plain,
% 16.76/11.93 (v135(constB104) <=> (v138(constB104) | v142(constB104))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25964, 584])).
% 16.76/11.93 tff(25966,plain,
% 16.76/11.93 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB104) <=> (~((~v143(constB104)) | (~v144(constB104)))))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25967,plain,
% 16.76/11.93 (v142(constB104) <=> (~((~v143(constB104)) | (~v144(constB104))))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25966, 596])).
% 16.76/11.93 tff(25968,plain,
% 16.76/11.93 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB104) <=> (~((~v141(constB104)) | (~v145(constB104)))))),
% 16.76/11.93 inference(quant_inst,[status(thm)],[])).
% 16.76/11.93 tff(25969,plain,
% 16.76/11.93 (v144(constB104) <=> (~((~v141(constB104)) | (~v145(constB104))))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25968, 608])).
% 16.76/11.93 tff(25970,plain,
% 16.76/11.93 (((~v141(constB104)) | (~v145(constB104))) | v141(constB104)),
% 16.76/11.93 inference(tautology,[status(thm)],[])).
% 16.76/11.93 tff(25971,plain,
% 16.76/11.93 ((~v141(constB104)) | (~v145(constB104))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25970, 6072])).
% 16.76/11.93 tff(25972,plain,
% 16.76/11.93 ((~(v144(constB104) <=> (~((~v141(constB104)) | (~v145(constB104)))))) | (~v144(constB104)) | (~((~v141(constB104)) | (~v145(constB104))))),
% 16.76/11.93 inference(tautology,[status(thm)],[])).
% 16.76/11.93 tff(25973,plain,
% 16.76/11.93 ((~(v144(constB104) <=> (~((~v141(constB104)) | (~v145(constB104)))))) | (~v144(constB104))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25972, 25971])).
% 16.76/11.93 tff(25974,plain,
% 16.76/11.93 (~v144(constB104)),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25973, 25969])).
% 16.76/11.93 tff(25975,plain,
% 16.76/11.93 (((~v143(constB104)) | (~v144(constB104))) | v144(constB104)),
% 16.76/11.93 inference(tautology,[status(thm)],[])).
% 16.76/11.93 tff(25976,plain,
% 16.76/11.93 ((~v143(constB104)) | (~v144(constB104))),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25975, 25974])).
% 16.76/11.93 tff(25977,plain,
% 16.76/11.93 ((~(v142(constB104) <=> (~((~v143(constB104)) | (~v144(constB104)))))) | (~v142(constB104)) | (~((~v143(constB104)) | (~v144(constB104))))),
% 16.76/11.93 inference(tautology,[status(thm)],[])).
% 16.76/11.93 tff(25978,plain,
% 16.76/11.93 (~v142(constB104)),
% 16.76/11.93 inference(unit_resolution,[status(thm)],[25977, 25976, 25967])).
% 16.76/11.93 tff(25979,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB104) <=> (~((~v132(constB104)) | (~v139(constB104)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB104) <=> (~((~v132(constB104)) | (~v139(constB104))))))),
% 16.76/11.93 inference(rewrite,[status(thm)],[])).
% 16.76/11.93 tff(25980,plain,
% 16.76/11.93 ((v138(constB104) <=> (~((~v139(constB104)) | (~v132(constB104))))) <=> (v138(constB104) <=> (~((~v132(constB104)) | (~v139(constB104)))))),
% 16.76/11.93 inference(rewrite,[status(thm)],[])).
% 16.76/11.93 tff(25981,plain,
% 16.76/11.93 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB104) <=> (~((~v139(constB104)) | (~v132(constB104)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB104) <=> (~((~v132(constB104)) | (~v139(constB104))))))),
% 16.76/11.94 inference(monotonicity,[status(thm)],[25980])).
% 16.76/11.94 tff(25982,plain,
% 16.76/11.94 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB104) <=> (~((~v139(constB104)) | (~v132(constB104)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB104) <=> (~((~v132(constB104)) | (~v139(constB104))))))),
% 16.76/11.94 inference(transitivity,[status(thm)],[25981, 25979])).
% 16.76/11.94 tff(25983,plain,
% 16.76/11.94 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB104) <=> (~((~v139(constB104)) | (~v132(constB104)))))),
% 16.76/11.94 inference(quant_inst,[status(thm)],[])).
% 16.76/11.94 tff(25984,plain,
% 16.76/11.94 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB104) <=> (~((~v132(constB104)) | (~v139(constB104)))))),
% 16.76/11.94 inference(modus_ponens,[status(thm)],[25983, 25982])).
% 16.76/11.94 tff(25985,plain,
% 16.76/11.94 (v138(constB104) <=> (~((~v132(constB104)) | (~v139(constB104))))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[25984, 644])).
% 16.76/11.94 tff(25986,plain,
% 16.76/11.94 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB104) <=> v137(constB104))),
% 16.76/11.94 inference(quant_inst,[status(thm)],[])).
% 16.76/11.94 tff(25987,plain,
% 16.76/11.94 (v132(constB104) <=> v137(constB104)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[25986, 558])).
% 16.76/11.94 tff(25988,plain,
% 16.76/11.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB103, constB104)) | (v137(constB104) <=> v135(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB103, constB104)) | (v137(constB104) <=> v135(constB103)))),
% 16.76/11.94 inference(rewrite,[status(thm)],[])).
% 16.76/11.94 tff(25989,plain,
% 16.76/11.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB103, constB104)) | (v137(constB104) <=> v135(constB103)))),
% 16.76/11.94 inference(quant_inst,[status(thm)],[])).
% 16.76/11.94 tff(25990,plain,
% 16.76/11.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB103, constB104)) | (v137(constB104) <=> v135(constB103))),
% 16.76/11.94 inference(modus_ponens,[status(thm)],[25989, 25988])).
% 16.76/11.94 tff(25991,plain,
% 16.76/11.94 (v137(constB104) <=> v135(constB103)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[25990, 6093, 570])).
% 16.76/11.94 tff(25992,plain,
% 16.76/11.94 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB103) <=> (v138(constB103) | v142(constB103)))),
% 16.76/11.94 inference(quant_inst,[status(thm)],[])).
% 16.76/11.94 tff(25993,plain,
% 16.76/11.94 (v135(constB103) <=> (v138(constB103) | v142(constB103))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[25992, 584])).
% 16.76/11.94 tff(25994,plain,
% 16.76/11.94 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB103) <=> (~((~v132(constB103)) | (~v139(constB103)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB103) <=> (~((~v132(constB103)) | (~v139(constB103))))))),
% 16.76/11.94 inference(rewrite,[status(thm)],[])).
% 16.76/11.94 tff(25995,plain,
% 16.76/11.94 ((v138(constB103) <=> (~((~v139(constB103)) | (~v132(constB103))))) <=> (v138(constB103) <=> (~((~v132(constB103)) | (~v139(constB103)))))),
% 16.76/11.94 inference(rewrite,[status(thm)],[])).
% 16.76/11.94 tff(25996,plain,
% 16.76/11.94 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB103) <=> (~((~v139(constB103)) | (~v132(constB103)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB103) <=> (~((~v132(constB103)) | (~v139(constB103))))))),
% 16.76/11.94 inference(monotonicity,[status(thm)],[25995])).
% 16.76/11.94 tff(25997,plain,
% 16.76/11.94 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB103) <=> (~((~v139(constB103)) | (~v132(constB103)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB103) <=> (~((~v132(constB103)) | (~v139(constB103))))))),
% 16.76/11.94 inference(transitivity,[status(thm)],[25996, 25994])).
% 16.76/11.94 tff(25998,plain,
% 16.76/11.94 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB103) <=> (~((~v139(constB103)) | (~v132(constB103)))))),
% 16.76/11.94 inference(quant_inst,[status(thm)],[])).
% 16.76/11.94 tff(25999,plain,
% 16.76/11.94 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB103) <=> (~((~v132(constB103)) | (~v139(constB103)))))),
% 16.76/11.94 inference(modus_ponens,[status(thm)],[25998, 25997])).
% 16.76/11.94 tff(26000,plain,
% 16.76/11.94 (v138(constB103) <=> (~((~v132(constB103)) | (~v139(constB103))))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[25999, 644])).
% 16.76/11.94 tff(26001,plain,
% 16.76/11.94 (((~v132(constB103)) | (~v139(constB103))) | v139(constB103)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26002,plain,
% 16.76/11.94 ((~v132(constB103)) | (~v139(constB103))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26001, 6171])).
% 16.76/11.94 tff(26003,plain,
% 16.76/11.94 ((~(v138(constB103) <=> (~((~v132(constB103)) | (~v139(constB103)))))) | (~v138(constB103)) | (~((~v132(constB103)) | (~v139(constB103))))),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26004,plain,
% 16.76/11.94 (~v138(constB103)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26003, 26002, 26000])).
% 16.76/11.94 tff(26005,plain,
% 16.76/11.94 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB103) <=> (~((~v143(constB103)) | (~v144(constB103)))))),
% 16.76/11.94 inference(quant_inst,[status(thm)],[])).
% 16.76/11.94 tff(26006,plain,
% 16.76/11.94 (v142(constB103) <=> (~((~v143(constB103)) | (~v144(constB103))))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26005, 596])).
% 16.76/11.94 tff(26007,plain,
% 16.76/11.94 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB103) <=> (~((~v141(constB103)) | (~v145(constB103)))))),
% 16.76/11.94 inference(quant_inst,[status(thm)],[])).
% 16.76/11.94 tff(26008,plain,
% 16.76/11.94 (v144(constB103) <=> (~((~v141(constB103)) | (~v145(constB103))))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26007, 608])).
% 16.76/11.94 tff(26009,plain,
% 16.76/11.94 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB103) <=> (~(v84(constB103, 1) | v84(constB103, 2) | (~v84(constB103, 0)))))),
% 16.76/11.94 inference(quant_inst,[status(thm)],[])).
% 16.76/11.94 tff(26010,plain,
% 16.76/11.94 (v145(constB103) <=> (~(v84(constB103, 1) | v84(constB103, 2) | (~v84(constB103, 0))))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26009, 755])).
% 16.76/11.94 tff(26011,plain,
% 16.76/11.94 ((v84(constB103, 1) | v84(constB103, 2) | (~v84(constB103, 0))) | v84(constB103, 0)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26012,plain,
% 16.76/11.94 (v84(constB103, 1) | v84(constB103, 2) | (~v84(constB103, 0))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26011, 16716])).
% 16.76/11.94 tff(26013,plain,
% 16.76/11.94 ((~(v145(constB103) <=> (~(v84(constB103, 1) | v84(constB103, 2) | (~v84(constB103, 0)))))) | (~v145(constB103)) | (~(v84(constB103, 1) | v84(constB103, 2) | (~v84(constB103, 0))))),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26014,plain,
% 16.76/11.94 (~v145(constB103)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26013, 26012, 26010])).
% 16.76/11.94 tff(26015,plain,
% 16.76/11.94 (((~v141(constB103)) | (~v145(constB103))) | v145(constB103)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26016,plain,
% 16.76/11.94 ((~v141(constB103)) | (~v145(constB103))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26015, 26014])).
% 16.76/11.94 tff(26017,plain,
% 16.76/11.94 ((~(v144(constB103) <=> (~((~v141(constB103)) | (~v145(constB103)))))) | (~v144(constB103)) | (~((~v141(constB103)) | (~v145(constB103))))),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26018,plain,
% 16.76/11.94 (~v144(constB103)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26017, 26016, 26008])).
% 16.76/11.94 tff(26019,plain,
% 16.76/11.94 (((~v143(constB103)) | (~v144(constB103))) | v144(constB103)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26020,plain,
% 16.76/11.94 ((~v143(constB103)) | (~v144(constB103))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26019, 26018])).
% 16.76/11.94 tff(26021,plain,
% 16.76/11.94 ((~(v142(constB103) <=> (~((~v143(constB103)) | (~v144(constB103)))))) | (~v142(constB103)) | (~((~v143(constB103)) | (~v144(constB103))))),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26022,plain,
% 16.76/11.94 (~v142(constB103)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26021, 26020, 26006])).
% 16.76/11.94 tff(26023,plain,
% 16.76/11.94 ((~(v138(constB103) | v142(constB103))) | v138(constB103) | v142(constB103)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26024,plain,
% 16.76/11.94 (~(v138(constB103) | v142(constB103))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26023, 26022, 26004])).
% 16.76/11.94 tff(26025,plain,
% 16.76/11.94 ((~(v135(constB103) <=> (v138(constB103) | v142(constB103)))) | (~v135(constB103)) | (v138(constB103) | v142(constB103))),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26026,plain,
% 16.76/11.94 (~v135(constB103)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26025, 26024, 25993])).
% 16.76/11.94 tff(26027,plain,
% 16.76/11.94 ((~(v137(constB104) <=> v135(constB103))) | (~v137(constB104)) | v135(constB103)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26028,plain,
% 16.76/11.94 (~v137(constB104)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26027, 26026, 25991])).
% 16.76/11.94 tff(26029,plain,
% 16.76/11.94 ((~(v132(constB104) <=> v137(constB104))) | (~v132(constB104)) | v137(constB104)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26030,plain,
% 16.76/11.94 (~v132(constB104)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26029, 26028, 25987])).
% 16.76/11.94 tff(26031,plain,
% 16.76/11.94 (((~v132(constB104)) | (~v139(constB104))) | v132(constB104)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26032,plain,
% 16.76/11.94 ((~v132(constB104)) | (~v139(constB104))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26031, 26030])).
% 16.76/11.94 tff(26033,plain,
% 16.76/11.94 ((~(v138(constB104) <=> (~((~v132(constB104)) | (~v139(constB104)))))) | (~v138(constB104)) | (~((~v132(constB104)) | (~v139(constB104))))),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26034,plain,
% 16.76/11.94 (~v138(constB104)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26033, 26032, 25985])).
% 16.76/11.94 tff(26035,plain,
% 16.76/11.94 ((~(v138(constB104) | v142(constB104))) | v138(constB104) | v142(constB104)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26036,plain,
% 16.76/11.94 (~(v138(constB104) | v142(constB104))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26035, 26034, 25978])).
% 16.76/11.94 tff(26037,plain,
% 16.76/11.94 ((~(v135(constB104) <=> (v138(constB104) | v142(constB104)))) | (~v135(constB104)) | (v138(constB104) | v142(constB104))),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26038,plain,
% 16.76/11.94 (~v135(constB104)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26037, 26036, 25965])).
% 16.76/11.94 tff(26039,plain,
% 16.76/11.94 ((~(v137(constB105) <=> v135(constB104))) | (~v137(constB105)) | v135(constB104)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26040,plain,
% 16.76/11.94 (~v137(constB105)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26039, 26038, 25963])).
% 16.76/11.94 tff(26041,plain,
% 16.76/11.94 ((~(v132(constB105) <=> v137(constB105))) | (~v132(constB105)) | v137(constB105)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26042,plain,
% 16.76/11.94 (~v132(constB105)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26041, 26040, 25959])).
% 16.76/11.94 tff(26043,plain,
% 16.76/11.94 (((~v132(constB105)) | (~v155(constB105))) | v132(constB105)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26044,plain,
% 16.76/11.94 ((~v132(constB105)) | (~v155(constB105))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26043, 26042])).
% 16.76/11.94 tff(26045,plain,
% 16.76/11.94 ((~(v154(constB105) <=> (~((~v132(constB105)) | (~v155(constB105)))))) | (~v154(constB105)) | (~((~v132(constB105)) | (~v155(constB105))))),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26046,plain,
% 16.76/11.94 (~v154(constB105)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26045, 26044, 25957])).
% 16.76/11.94 tff(26047,plain,
% 16.76/11.94 ((~(v153(constB105) | v154(constB105))) | v153(constB105) | v154(constB105)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26048,plain,
% 16.76/11.94 (~(v153(constB105) | v154(constB105))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26047, 26046, 25950])).
% 16.76/11.94 tff(26049,plain,
% 16.76/11.94 ((~(v150(constB105) <=> (v153(constB105) | v154(constB105)))) | (~v150(constB105)) | (v153(constB105) | v154(constB105))),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26050,plain,
% 16.76/11.94 (~v150(constB105)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26049, 26048, 25939])).
% 16.76/11.94 tff(26051,plain,
% 16.76/11.94 ((~(v152(constB106) <=> v150(constB105))) | (~v152(constB106)) | v150(constB105)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26052,plain,
% 16.76/11.94 (~v152(constB106)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26051, 26050, 25937])).
% 16.76/11.94 tff(26053,plain,
% 16.76/11.94 ((~(v130(constB106) <=> v152(constB106))) | (~v130(constB106)) | v152(constB106)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26054,plain,
% 16.76/11.94 (~v130(constB106)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26053, 26052, 25933])).
% 16.76/11.94 tff(26055,plain,
% 16.76/11.94 (((~v130(constB106)) | (~v139(constB106))) | v130(constB106)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26056,plain,
% 16.76/11.94 ((~v130(constB106)) | (~v139(constB106))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26055, 26054])).
% 16.76/11.94 tff(26057,plain,
% 16.76/11.94 ((~(v153(constB106) <=> (~((~v130(constB106)) | (~v139(constB106)))))) | (~v153(constB106)) | (~((~v130(constB106)) | (~v139(constB106))))),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26058,plain,
% 16.76/11.94 (~v153(constB106)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26057, 26056, 25931])).
% 16.76/11.94 tff(26059,plain,
% 16.76/11.94 ((~(v153(constB106) | v154(constB106))) | v153(constB106) | v154(constB106)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26060,plain,
% 16.76/11.94 (~(v153(constB106) | v154(constB106))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26059, 26058, 25924])).
% 16.76/11.94 tff(26061,plain,
% 16.76/11.94 ((~(v150(constB106) <=> (v153(constB106) | v154(constB106)))) | (~v150(constB106)) | (v153(constB106) | v154(constB106))),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26062,plain,
% 16.76/11.94 (~v150(constB106)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26061, 26060, 25913])).
% 16.76/11.94 tff(26063,plain,
% 16.76/11.94 ((~(v152(constB107) <=> v150(constB106))) | (~v152(constB107)) | v150(constB106)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26064,plain,
% 16.76/11.94 (~v152(constB107)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26063, 26062, 25911])).
% 16.76/11.94 tff(26065,plain,
% 16.76/11.94 ((~(v130(constB107) <=> v152(constB107))) | (~v130(constB107)) | v152(constB107)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26066,plain,
% 16.76/11.94 (~v130(constB107)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26065, 26064, 25907])).
% 16.76/11.94 tff(26067,plain,
% 16.76/11.94 (((~v130(constB107)) | (~v155(constB107))) | v130(constB107)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26068,plain,
% 16.76/11.94 ((~v130(constB107)) | (~v155(constB107))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26067, 26066])).
% 16.76/11.94 tff(26069,plain,
% 16.76/11.94 ((~(v164(constB107) <=> (~((~v130(constB107)) | (~v155(constB107)))))) | (~v164(constB107)) | (~((~v130(constB107)) | (~v155(constB107))))),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26070,plain,
% 16.76/11.94 (~v164(constB107)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26069, 26068, 25905])).
% 16.76/11.94 tff(26071,plain,
% 16.76/11.94 ((~(v163(constB107) | v164(constB107))) | v163(constB107) | v164(constB107)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26072,plain,
% 16.76/11.94 (~(v163(constB107) | v164(constB107))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26071, 26070, 25898])).
% 16.76/11.94 tff(26073,plain,
% 16.76/11.94 ((~(v160(constB107) <=> (v163(constB107) | v164(constB107)))) | (~v160(constB107)) | (v163(constB107) | v164(constB107))),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26074,plain,
% 16.76/11.94 (~v160(constB107)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26073, 26072, 25825])).
% 16.76/11.94 tff(26075,plain,
% 16.76/11.94 ((~(v162(constB108) <=> v160(constB107))) | (~v162(constB108)) | v160(constB107)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26076,plain,
% 16.76/11.94 (~v162(constB108)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26075, 26074, 25823])).
% 16.76/11.94 tff(26077,plain,
% 16.76/11.94 ((~(v128(constB108) <=> v162(constB108))) | (~v128(constB108)) | v162(constB108)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26078,plain,
% 16.76/11.94 (~v128(constB108)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26077, 26076, 25819])).
% 16.76/11.94 tff(26079,plain,
% 16.76/11.94 (((~v128(constB108)) | (~v139(constB108))) | v128(constB108)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26080,plain,
% 16.76/11.94 ((~v128(constB108)) | (~v139(constB108))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26079, 26078])).
% 16.76/11.94 tff(26081,plain,
% 16.76/11.94 ((~(v163(constB108) <=> (~((~v128(constB108)) | (~v139(constB108)))))) | (~v163(constB108)) | (~((~v128(constB108)) | (~v139(constB108))))),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26082,plain,
% 16.76/11.94 (~v163(constB108)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26081, 26080, 25817])).
% 16.76/11.94 tff(26083,plain,
% 16.76/11.94 ((~(v163(constB108) | v164(constB108))) | v163(constB108) | v164(constB108)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26084,plain,
% 16.76/11.94 (~(v163(constB108) | v164(constB108))),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26083, 26082, 25810])).
% 16.76/11.94 tff(26085,plain,
% 16.76/11.94 ((~(v160(constB108) <=> (v163(constB108) | v164(constB108)))) | (~v160(constB108)) | (v163(constB108) | v164(constB108))),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26086,plain,
% 16.76/11.94 (~v160(constB108)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26085, 26084, 25775])).
% 16.76/11.94 tff(26087,plain,
% 16.76/11.94 ((~(v162(constB109) <=> v160(constB108))) | (~v162(constB109)) | v160(constB108)),
% 16.76/11.94 inference(tautology,[status(thm)],[])).
% 16.76/11.94 tff(26088,plain,
% 16.76/11.94 (~v162(constB109)),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26087, 26086, 25773])).
% 16.76/11.94 tff(26089,plain,
% 16.76/11.94 ($false),
% 16.76/11.94 inference(unit_resolution,[status(thm)],[26088, 25769])).
% 16.76/11.94 tff(26090,plain,(~(constB109 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.76/11.94 tff(26091,assumption,(constB99 = VarCurr!0), introduced(assumption)).
% 16.76/11.94 tff(26092,plain,
% 16.76/11.94 (v162(constB99) <=> v162(VarCurr!0)),
% 16.76/11.94 inference(monotonicity,[status(thm)],[26091])).
% 16.76/11.94 tff(26093,plain,
% 16.76/11.94 (v162(VarCurr!0) <=> v162(constB99)),
% 16.76/11.94 inference(symmetry,[status(thm)],[26092])).
% 16.76/11.94 tff(26094,plain,
% 16.76/11.94 (v162(constB99)),
% 16.76/11.94 inference(modus_ponens,[status(thm)],[59, 26093])).
% 16.76/11.94 tff(26095,plain,
% 16.76/11.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB98, constB99)) | (v162(constB99) <=> v160(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB98, constB99)) | (v162(constB99) <=> v160(constB98)))),
% 16.76/11.95 inference(rewrite,[status(thm)],[])).
% 16.76/11.95 tff(26096,plain,
% 16.76/11.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB98, constB99)) | (v162(constB99) <=> v160(constB98)))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26097,plain,
% 16.76/11.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB98, constB99)) | (v162(constB99) <=> v160(constB98))),
% 16.76/11.95 inference(modus_ponens,[status(thm)],[26096, 26095])).
% 16.76/11.95 tff(26098,plain,
% 16.76/11.95 (v162(constB99) <=> v160(constB98)),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26097, 6387, 70])).
% 16.76/11.95 tff(26099,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB98) <=> (v163(constB98) | v164(constB98)))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26100,plain,
% 16.76/11.95 (v160(constB98) <=> (v163(constB98) | v164(constB98))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26099, 84])).
% 16.76/11.95 tff(26101,plain,
% 16.76/11.95 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v130(constB98)) | (~v155(constB98)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v130(constB98)) | (~v155(constB98))))))),
% 16.76/11.95 inference(rewrite,[status(thm)],[])).
% 16.76/11.95 tff(26102,plain,
% 16.76/11.95 ((v164(constB98) <=> (~((~v155(constB98)) | (~v130(constB98))))) <=> (v164(constB98) <=> (~((~v130(constB98)) | (~v155(constB98)))))),
% 16.76/11.95 inference(rewrite,[status(thm)],[])).
% 16.76/11.95 tff(26103,plain,
% 16.76/11.95 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v155(constB98)) | (~v130(constB98)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v130(constB98)) | (~v155(constB98))))))),
% 16.76/11.95 inference(monotonicity,[status(thm)],[26102])).
% 16.76/11.95 tff(26104,plain,
% 16.76/11.95 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v155(constB98)) | (~v130(constB98)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v130(constB98)) | (~v155(constB98))))))),
% 16.76/11.95 inference(transitivity,[status(thm)],[26103, 26101])).
% 16.76/11.95 tff(26105,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v155(constB98)) | (~v130(constB98)))))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26106,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v130(constB98)) | (~v155(constB98)))))),
% 16.76/11.95 inference(modus_ponens,[status(thm)],[26105, 26104])).
% 16.76/11.95 tff(26107,plain,
% 16.76/11.95 (v164(constB98) <=> (~((~v130(constB98)) | (~v155(constB98))))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26106, 96])).
% 16.76/11.95 tff(26108,plain,
% 16.76/11.95 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB98) <=> (~((~v141(constB98)) | (~v143(constB98)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB98) <=> (~((~v141(constB98)) | (~v143(constB98))))))),
% 16.76/11.95 inference(rewrite,[status(thm)],[])).
% 16.76/11.95 tff(26109,plain,
% 16.76/11.95 ((v155(constB98) <=> (~((~v143(constB98)) | (~v141(constB98))))) <=> (v155(constB98) <=> (~((~v141(constB98)) | (~v143(constB98)))))),
% 16.76/11.95 inference(rewrite,[status(thm)],[])).
% 16.76/11.95 tff(26110,plain,
% 16.76/11.95 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB98) <=> (~((~v143(constB98)) | (~v141(constB98)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB98) <=> (~((~v141(constB98)) | (~v143(constB98))))))),
% 16.76/11.95 inference(monotonicity,[status(thm)],[26109])).
% 16.76/11.95 tff(26111,plain,
% 16.76/11.95 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB98) <=> (~((~v143(constB98)) | (~v141(constB98)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB98) <=> (~((~v141(constB98)) | (~v143(constB98))))))),
% 16.76/11.95 inference(transitivity,[status(thm)],[26110, 26108])).
% 16.76/11.95 tff(26112,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB98) <=> (~((~v143(constB98)) | (~v141(constB98)))))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26113,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB98) <=> (~((~v141(constB98)) | (~v143(constB98)))))),
% 16.76/11.95 inference(modus_ponens,[status(thm)],[26112, 26111])).
% 16.76/11.95 tff(26114,plain,
% 16.76/11.95 (v155(constB98) <=> (~((~v141(constB98)) | (~v143(constB98))))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26113, 113])).
% 16.76/11.95 tff(26115,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26116,plain,
% 16.76/11.95 (v141(constB98) <=> (~((~v39(constB98)) | (~v9(constB98))))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26115, 130])).
% 16.76/11.95 tff(26117,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB98)) <=> v1(constB98))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26118,plain,
% 16.76/11.95 ((~v39(constB98)) <=> v1(constB98)),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26117, 139])).
% 16.76/11.95 tff(26119,plain,
% 16.76/11.95 ((~((~v39(constB98)) <=> v1(constB98))) | (~v39(constB98)) | (~v1(constB98))),
% 16.76/11.95 inference(tautology,[status(thm)],[])).
% 16.76/11.95 tff(26120,plain,
% 16.76/11.95 ((~((~v39(constB98)) <=> v1(constB98))) | (~v39(constB98))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26119, 12494])).
% 16.76/11.95 tff(26121,plain,
% 16.76/11.95 (~v39(constB98)),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26120, 26118])).
% 16.76/11.95 tff(26122,plain,
% 16.76/11.95 (((~v39(constB98)) | (~v9(constB98))) | v39(constB98)),
% 16.76/11.95 inference(tautology,[status(thm)],[])).
% 16.76/11.95 tff(26123,plain,
% 16.76/11.95 ((~v39(constB98)) | (~v9(constB98))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26122, 26121])).
% 16.76/11.95 tff(26124,plain,
% 16.76/11.95 ((~(v141(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))) | (~v141(constB98)) | (~((~v39(constB98)) | (~v9(constB98))))),
% 16.76/11.95 inference(tautology,[status(thm)],[])).
% 16.76/11.95 tff(26125,plain,
% 16.76/11.95 ((~(v141(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))) | (~v141(constB98))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26124, 26123])).
% 16.76/11.95 tff(26126,plain,
% 16.76/11.95 (~v141(constB98)),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26125, 26116])).
% 16.76/11.95 tff(26127,plain,
% 16.76/11.95 (((~v141(constB98)) | (~v143(constB98))) | v141(constB98)),
% 16.76/11.95 inference(tautology,[status(thm)],[])).
% 16.76/11.95 tff(26128,plain,
% 16.76/11.95 ((~v141(constB98)) | (~v143(constB98))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26127, 26126])).
% 16.76/11.95 tff(26129,plain,
% 16.76/11.95 ((~(v155(constB98) <=> (~((~v141(constB98)) | (~v143(constB98)))))) | (~v155(constB98)) | (~((~v141(constB98)) | (~v143(constB98))))),
% 16.76/11.95 inference(tautology,[status(thm)],[])).
% 16.76/11.95 tff(26130,plain,
% 16.76/11.95 ((~(v155(constB98) <=> (~((~v141(constB98)) | (~v143(constB98)))))) | (~v155(constB98))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26129, 26128])).
% 16.76/11.95 tff(26131,plain,
% 16.76/11.95 (~v155(constB98)),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26130, 26114])).
% 16.76/11.95 tff(26132,plain,
% 16.76/11.95 (((~v130(constB98)) | (~v155(constB98))) | v155(constB98)),
% 16.76/11.95 inference(tautology,[status(thm)],[])).
% 16.76/11.95 tff(26133,plain,
% 16.76/11.95 ((~v130(constB98)) | (~v155(constB98))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26132, 26131])).
% 16.76/11.95 tff(26134,plain,
% 16.76/11.95 ((~(v164(constB98) <=> (~((~v130(constB98)) | (~v155(constB98)))))) | (~v164(constB98)) | (~((~v130(constB98)) | (~v155(constB98))))),
% 16.76/11.95 inference(tautology,[status(thm)],[])).
% 16.76/11.95 tff(26135,plain,
% 16.76/11.95 (~v164(constB98)),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26134, 26133, 26107])).
% 16.76/11.95 tff(26136,plain,
% 16.76/11.95 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98))))))),
% 16.76/11.95 inference(rewrite,[status(thm)],[])).
% 16.76/11.95 tff(26137,plain,
% 16.76/11.95 ((v163(constB98) <=> (~((~v139(constB98)) | (~v128(constB98))))) <=> (v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98)))))),
% 16.76/11.95 inference(rewrite,[status(thm)],[])).
% 16.76/11.95 tff(26138,plain,
% 16.76/11.95 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v139(constB98)) | (~v128(constB98)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98))))))),
% 16.76/11.95 inference(monotonicity,[status(thm)],[26137])).
% 16.76/11.95 tff(26139,plain,
% 16.76/11.95 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v139(constB98)) | (~v128(constB98)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98))))))),
% 16.76/11.95 inference(transitivity,[status(thm)],[26138, 26136])).
% 16.76/11.95 tff(26140,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v139(constB98)) | (~v128(constB98)))))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26141,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98)))))),
% 16.76/11.95 inference(modus_ponens,[status(thm)],[26140, 26139])).
% 16.76/11.95 tff(26142,plain,
% 16.76/11.95 (v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98))))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26141, 171])).
% 16.76/11.95 tff(26143,plain,
% 16.76/11.95 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB98) <=> v162(constB98))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26144,plain,
% 16.76/11.95 (v128(constB98) <=> v162(constB98)),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26143, 13])).
% 16.76/11.95 tff(26145,plain,
% 16.76/11.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB97, constB98)) | (v162(constB98) <=> v160(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB97, constB98)) | (v162(constB98) <=> v160(constB97)))),
% 16.76/11.95 inference(rewrite,[status(thm)],[])).
% 16.76/11.95 tff(26146,plain,
% 16.76/11.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB97, constB98)) | (v162(constB98) <=> v160(constB97)))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26147,plain,
% 16.76/11.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB97, constB98)) | (v162(constB98) <=> v160(constB97))),
% 16.76/11.95 inference(modus_ponens,[status(thm)],[26146, 26145])).
% 16.76/11.95 tff(26148,plain,
% 16.76/11.95 (v162(constB98) <=> v160(constB97)),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26147, 6423, 70])).
% 16.76/11.95 tff(26149,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB97) <=> (v163(constB97) | v164(constB97)))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26150,plain,
% 16.76/11.95 (v160(constB97) <=> (v163(constB97) | v164(constB97))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26149, 84])).
% 16.76/11.95 tff(26151,plain,
% 16.76/11.95 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97))))))),
% 16.76/11.95 inference(rewrite,[status(thm)],[])).
% 16.76/11.95 tff(26152,plain,
% 16.76/11.95 ((v163(constB97) <=> (~((~v139(constB97)) | (~v128(constB97))))) <=> (v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97)))))),
% 16.76/11.95 inference(rewrite,[status(thm)],[])).
% 16.76/11.95 tff(26153,plain,
% 16.76/11.95 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v139(constB97)) | (~v128(constB97)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97))))))),
% 16.76/11.95 inference(monotonicity,[status(thm)],[26152])).
% 16.76/11.95 tff(26154,plain,
% 16.76/11.95 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v139(constB97)) | (~v128(constB97)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97))))))),
% 16.76/11.95 inference(transitivity,[status(thm)],[26153, 26151])).
% 16.76/11.95 tff(26155,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v139(constB97)) | (~v128(constB97)))))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26156,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97)))))),
% 16.76/11.95 inference(modus_ponens,[status(thm)],[26155, 26154])).
% 16.76/11.95 tff(26157,plain,
% 16.76/11.95 (v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97))))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26156, 171])).
% 16.76/11.95 tff(26158,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB97)) <=> v140(constB97))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26159,plain,
% 16.76/11.95 ((~v139(constB97)) <=> v140(constB97)),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26158, 203])).
% 16.76/11.95 tff(26160,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB97) <=> (v141(constB97) | v26(constB97)))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26161,plain,
% 16.76/11.95 (v140(constB97) <=> (v141(constB97) | v26(constB97))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26160, 212])).
% 16.76/11.95 tff(26162,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB97) <=> (~((~v39(constB97)) | (~v9(constB97)))))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26163,plain,
% 16.76/11.95 (v141(constB97) <=> (~((~v39(constB97)) | (~v9(constB97))))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26162, 130])).
% 16.76/11.95 tff(26164,plain,
% 16.76/11.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97)))),
% 16.76/11.95 inference(rewrite,[status(thm)],[])).
% 16.76/11.95 tff(26165,plain,
% 16.76/11.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97)))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26166,plain,
% 16.76/11.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97))),
% 16.76/11.95 inference(modus_ponens,[status(thm)],[26165, 26164])).
% 16.76/11.95 tff(26167,plain,
% 16.76/11.95 (v13(constB98) <=> v9(constB97)),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26166, 6423, 226])).
% 16.76/11.95 tff(26168,plain,
% 16.76/11.95 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB98) <=> v13(constB98))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26169,plain,
% 16.76/11.95 (v6(constB98) <=> v13(constB98)),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26168, 240])).
% 16.76/11.95 tff(26170,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB98)) <=> v6(constB98))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26171,plain,
% 16.76/11.95 ((~v21(constB98)) <=> v6(constB98)),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26170, 249])).
% 16.76/11.95 tff(26172,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB98) <=> (v20(constB98) | v21(constB98)))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26173,plain,
% 16.76/11.95 (v19(constB98) <=> (v20(constB98) | v21(constB98))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26172, 258])).
% 16.76/11.95 tff(26174,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB98) <=> (~((~v19(constB98)) | (~v22(constB98)))))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26175,plain,
% 16.76/11.95 (v18(constB98) <=> (~((~v19(constB98)) | (~v22(constB98))))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26174, 270])).
% 16.76/11.95 tff(26176,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB98)) <=> v18(constB98))),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26177,plain,
% 16.76/11.95 ((~v4(constB98)) <=> v18(constB98)),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26176, 279])).
% 16.76/11.95 tff(26178,plain,
% 16.76/11.95 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB98)),
% 16.76/11.95 inference(quant_inst,[status(thm)],[])).
% 16.76/11.95 tff(26179,plain,
% 16.76/11.95 (v4(constB98)),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26178, 288])).
% 16.76/11.95 tff(26180,plain,
% 16.76/11.95 ((~((~v4(constB98)) <=> v18(constB98))) | (~v4(constB98)) | (~v18(constB98))),
% 16.76/11.95 inference(tautology,[status(thm)],[])).
% 16.76/11.95 tff(26181,plain,
% 16.76/11.95 (~v18(constB98)),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26180, 26179, 26177])).
% 16.76/11.95 tff(26182,plain,
% 16.76/11.95 ((~(v18(constB98) <=> (~((~v19(constB98)) | (~v22(constB98)))))) | v18(constB98) | ((~v19(constB98)) | (~v22(constB98)))),
% 16.76/11.95 inference(tautology,[status(thm)],[])).
% 16.76/11.95 tff(26183,plain,
% 16.76/11.95 ((~v19(constB98)) | (~v22(constB98))),
% 16.76/11.95 inference(unit_resolution,[status(thm)],[26182, 26181, 26175])).
% 16.76/11.96 tff(26184,plain,
% 16.76/11.96 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB98) <=> (v1(constB98) | v6(constB98)))),
% 16.76/11.96 inference(quant_inst,[status(thm)],[])).
% 16.76/11.96 tff(26185,plain,
% 16.76/11.96 (v22(constB98) <=> (v1(constB98) | v6(constB98))),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26184, 301])).
% 16.76/11.96 tff(26186,plain,
% 16.76/11.96 ((v1(constB98) | v6(constB98)) | (~v1(constB98))),
% 16.76/11.96 inference(tautology,[status(thm)],[])).
% 16.76/11.96 tff(26187,plain,
% 16.76/11.96 (v1(constB98) | v6(constB98)),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26186, 12494])).
% 16.76/11.96 tff(26188,plain,
% 16.76/11.96 ((~(v22(constB98) <=> (v1(constB98) | v6(constB98)))) | v22(constB98) | (~(v1(constB98) | v6(constB98)))),
% 16.76/11.96 inference(tautology,[status(thm)],[])).
% 16.76/11.96 tff(26189,plain,
% 16.76/11.96 ((~(v22(constB98) <=> (v1(constB98) | v6(constB98)))) | v22(constB98)),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26188, 26187])).
% 16.76/11.96 tff(26190,plain,
% 16.76/11.96 (v22(constB98)),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26189, 26185])).
% 16.76/11.96 tff(26191,plain,
% 16.76/11.96 ((~((~v19(constB98)) | (~v22(constB98)))) | (~v19(constB98)) | (~v22(constB98))),
% 16.76/11.96 inference(tautology,[status(thm)],[])).
% 16.76/11.96 tff(26192,plain,
% 16.76/11.96 ((~((~v19(constB98)) | (~v22(constB98)))) | (~v19(constB98))),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26191, 26190])).
% 16.76/11.96 tff(26193,plain,
% 16.76/11.96 (~v19(constB98)),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26192, 26183])).
% 16.76/11.96 tff(26194,plain,
% 16.76/11.96 ((~(v19(constB98) <=> (v20(constB98) | v21(constB98)))) | v19(constB98) | (~(v20(constB98) | v21(constB98)))),
% 16.76/11.96 inference(tautology,[status(thm)],[])).
% 16.76/11.96 tff(26195,plain,
% 16.76/11.96 (~(v20(constB98) | v21(constB98))),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26194, 26193, 26173])).
% 16.76/11.96 tff(26196,plain,
% 16.76/11.96 ((v20(constB98) | v21(constB98)) | (~v21(constB98))),
% 16.76/11.96 inference(tautology,[status(thm)],[])).
% 16.76/11.96 tff(26197,plain,
% 16.76/11.96 (~v21(constB98)),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26196, 26195])).
% 16.76/11.96 tff(26198,plain,
% 16.76/11.96 ((~((~v21(constB98)) <=> v6(constB98))) | v21(constB98) | v6(constB98)),
% 16.76/11.96 inference(tautology,[status(thm)],[])).
% 16.76/11.96 tff(26199,plain,
% 16.76/11.96 (v6(constB98)),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26198, 26197, 26171])).
% 16.76/11.96 tff(26200,plain,
% 16.76/11.96 ((~(v6(constB98) <=> v13(constB98))) | (~v6(constB98)) | v13(constB98)),
% 16.76/11.96 inference(tautology,[status(thm)],[])).
% 16.76/11.96 tff(26201,plain,
% 16.76/11.96 (v13(constB98)),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26200, 26199, 26169])).
% 16.76/11.96 tff(26202,plain,
% 16.76/11.96 ((~(v13(constB98) <=> v9(constB97))) | (~v13(constB98)) | v9(constB97)),
% 16.76/11.96 inference(tautology,[status(thm)],[])).
% 16.76/11.96 tff(26203,plain,
% 16.76/11.96 (v9(constB97)),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26202, 26201, 26167])).
% 16.76/11.96 tff(26204,plain,
% 16.76/11.96 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB97)) <=> v1(constB97))),
% 16.76/11.96 inference(quant_inst,[status(thm)],[])).
% 16.76/11.96 tff(26205,plain,
% 16.76/11.96 ((~v39(constB97)) <=> v1(constB97)),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26204, 139])).
% 16.76/11.96 tff(26206,plain,
% 16.76/11.96 ((~((~v39(constB97)) <=> v1(constB97))) | v39(constB97) | v1(constB97)),
% 16.76/11.96 inference(tautology,[status(thm)],[])).
% 16.76/11.96 tff(26207,plain,
% 16.76/11.96 ((~((~v39(constB97)) <=> v1(constB97))) | v39(constB97)),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26206, 6462])).
% 16.76/11.96 tff(26208,plain,
% 16.76/11.96 (v39(constB97)),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26207, 26205])).
% 16.76/11.96 tff(26209,plain,
% 16.76/11.96 ((~((~v39(constB97)) | (~v9(constB97)))) | (~v39(constB97)) | (~v9(constB97))),
% 16.76/11.96 inference(tautology,[status(thm)],[])).
% 16.76/11.96 tff(26210,plain,
% 16.76/11.96 ((~((~v39(constB97)) | (~v9(constB97)))) | (~v9(constB97))),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26209, 26208])).
% 16.76/11.96 tff(26211,plain,
% 16.76/11.96 (~((~v39(constB97)) | (~v9(constB97)))),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26210, 26203])).
% 16.76/11.96 tff(26212,plain,
% 16.76/11.96 ((~(v141(constB97) <=> (~((~v39(constB97)) | (~v9(constB97)))))) | v141(constB97) | ((~v39(constB97)) | (~v9(constB97)))),
% 16.76/11.96 inference(tautology,[status(thm)],[])).
% 16.76/11.96 tff(26213,plain,
% 16.76/11.96 (v141(constB97)),
% 16.76/11.96 inference(unit_resolution,[status(thm)],[26212, 26211, 26163])).
% 16.76/11.96 tff(26214,plain,
% 16.76/11.96 ((v141(constB97) | v26(constB97)) | (~v141(constB97))),
% 16.82/11.96 inference(tautology,[status(thm)],[])).
% 16.82/11.96 tff(26215,plain,
% 16.82/11.96 (v141(constB97) | v26(constB97)),
% 16.82/11.96 inference(unit_resolution,[status(thm)],[26214, 26213])).
% 16.82/11.96 tff(26216,plain,
% 16.82/11.96 ((~(v140(constB97) <=> (v141(constB97) | v26(constB97)))) | v140(constB97) | (~(v141(constB97) | v26(constB97)))),
% 16.82/11.96 inference(tautology,[status(thm)],[])).
% 16.82/11.96 tff(26217,plain,
% 16.82/11.96 (v140(constB97)),
% 16.82/11.96 inference(unit_resolution,[status(thm)],[26216, 26215, 26161])).
% 16.82/11.96 tff(26218,plain,
% 16.82/11.96 ((~((~v139(constB97)) <=> v140(constB97))) | (~v139(constB97)) | (~v140(constB97))),
% 16.82/11.96 inference(tautology,[status(thm)],[])).
% 16.82/11.96 tff(26219,plain,
% 16.82/11.96 (~v139(constB97)),
% 16.82/11.96 inference(unit_resolution,[status(thm)],[26218, 26217, 26159])).
% 16.82/11.96 tff(26220,plain,
% 16.82/11.96 (((~v128(constB97)) | (~v139(constB97))) | v139(constB97)),
% 16.82/11.96 inference(tautology,[status(thm)],[])).
% 16.82/11.96 tff(26221,plain,
% 16.82/11.96 ((~v128(constB97)) | (~v139(constB97))),
% 16.82/11.96 inference(unit_resolution,[status(thm)],[26220, 26219])).
% 16.82/11.96 tff(26222,plain,
% 16.82/11.96 ((~(v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97)))))) | (~v163(constB97)) | (~((~v128(constB97)) | (~v139(constB97))))),
% 16.82/11.96 inference(tautology,[status(thm)],[])).
% 16.82/11.96 tff(26223,plain,
% 16.82/11.96 (~v163(constB97)),
% 16.82/11.96 inference(unit_resolution,[status(thm)],[26222, 26221, 26157])).
% 16.82/11.96 tff(26224,plain,
% 16.82/11.96 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v130(constB97)) | (~v155(constB97)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v130(constB97)) | (~v155(constB97))))))),
% 16.82/11.96 inference(rewrite,[status(thm)],[])).
% 16.82/11.96 tff(26225,plain,
% 16.82/11.96 ((v164(constB97) <=> (~((~v155(constB97)) | (~v130(constB97))))) <=> (v164(constB97) <=> (~((~v130(constB97)) | (~v155(constB97)))))),
% 16.82/11.96 inference(rewrite,[status(thm)],[])).
% 16.82/11.96 tff(26226,plain,
% 16.82/11.96 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v155(constB97)) | (~v130(constB97)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v130(constB97)) | (~v155(constB97))))))),
% 16.82/11.96 inference(monotonicity,[status(thm)],[26225])).
% 16.82/11.96 tff(26227,plain,
% 16.82/11.96 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v155(constB97)) | (~v130(constB97)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v130(constB97)) | (~v155(constB97))))))),
% 16.82/11.96 inference(transitivity,[status(thm)],[26226, 26224])).
% 16.82/11.96 tff(26228,plain,
% 16.82/11.96 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v155(constB97)) | (~v130(constB97)))))),
% 16.82/11.96 inference(quant_inst,[status(thm)],[])).
% 16.82/11.96 tff(26229,plain,
% 16.82/11.96 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v130(constB97)) | (~v155(constB97)))))),
% 16.82/11.96 inference(modus_ponens,[status(thm)],[26228, 26227])).
% 16.82/11.96 tff(26230,plain,
% 16.82/11.96 (v164(constB97) <=> (~((~v130(constB97)) | (~v155(constB97))))),
% 16.82/11.96 inference(unit_resolution,[status(thm)],[26229, 96])).
% 16.82/11.96 tff(26231,plain,
% 16.82/11.96 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB97) <=> v152(constB97))),
% 16.82/11.96 inference(quant_inst,[status(thm)],[])).
% 16.82/11.96 tff(26232,plain,
% 16.82/11.96 (v130(constB97) <=> v152(constB97)),
% 16.82/11.96 inference(unit_resolution,[status(thm)],[26231, 361])).
% 16.82/11.96 tff(26233,plain,
% 16.82/11.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB96, constB97)) | (v152(constB97) <=> v150(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB96, constB97)) | (v152(constB97) <=> v150(constB96)))),
% 16.82/11.96 inference(rewrite,[status(thm)],[])).
% 16.82/11.96 tff(26234,plain,
% 16.82/11.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB96, constB97)) | (v152(constB97) <=> v150(constB96)))),
% 16.82/11.96 inference(quant_inst,[status(thm)],[])).
% 16.82/11.96 tff(26235,plain,
% 16.82/11.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB96, constB97)) | (v152(constB97) <=> v150(constB96))),
% 16.82/11.96 inference(modus_ponens,[status(thm)],[26234, 26233])).
% 16.82/11.96 tff(26236,plain,
% 16.82/11.96 (v152(constB97) <=> v150(constB96)),
% 16.82/11.96 inference(unit_resolution,[status(thm)],[26235, 6448, 373])).
% 16.82/11.96 tff(26237,plain,
% 16.82/11.96 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB96) <=> (v153(constB96) | v154(constB96)))),
% 16.82/11.96 inference(quant_inst,[status(thm)],[])).
% 16.82/11.96 tff(26238,plain,
% 16.82/11.96 (v150(constB96) <=> (v153(constB96) | v154(constB96))),
% 16.82/11.96 inference(unit_resolution,[status(thm)],[26237, 387])).
% 16.82/11.96 tff(26239,plain,
% 16.82/11.96 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB96) <=> (~((~v132(constB96)) | (~v155(constB96)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB96) <=> (~((~v132(constB96)) | (~v155(constB96))))))),
% 16.82/11.96 inference(rewrite,[status(thm)],[])).
% 16.82/11.96 tff(26240,plain,
% 16.82/11.96 ((v154(constB96) <=> (~((~v155(constB96)) | (~v132(constB96))))) <=> (v154(constB96) <=> (~((~v132(constB96)) | (~v155(constB96)))))),
% 16.82/11.96 inference(rewrite,[status(thm)],[])).
% 16.82/11.96 tff(26241,plain,
% 16.82/11.96 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB96) <=> (~((~v155(constB96)) | (~v132(constB96)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB96) <=> (~((~v132(constB96)) | (~v155(constB96))))))),
% 16.82/11.96 inference(monotonicity,[status(thm)],[26240])).
% 16.82/11.96 tff(26242,plain,
% 16.82/11.96 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB96) <=> (~((~v155(constB96)) | (~v132(constB96)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB96) <=> (~((~v132(constB96)) | (~v155(constB96))))))),
% 16.82/11.96 inference(transitivity,[status(thm)],[26241, 26239])).
% 16.82/11.96 tff(26243,plain,
% 16.82/11.96 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB96) <=> (~((~v155(constB96)) | (~v132(constB96)))))),
% 16.82/11.96 inference(quant_inst,[status(thm)],[])).
% 16.82/11.96 tff(26244,plain,
% 16.82/11.96 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB96) <=> (~((~v132(constB96)) | (~v155(constB96)))))),
% 16.82/11.96 inference(modus_ponens,[status(thm)],[26243, 26242])).
% 16.82/11.96 tff(26245,plain,
% 16.82/11.96 (v154(constB96) <=> (~((~v132(constB96)) | (~v155(constB96))))),
% 16.82/11.96 inference(unit_resolution,[status(thm)],[26244, 399])).
% 16.82/11.96 tff(26246,plain,
% 16.82/11.96 (((~v132(constB96)) | (~v155(constB96))) | v155(constB96)),
% 16.82/11.96 inference(tautology,[status(thm)],[])).
% 16.82/11.96 tff(26247,plain,
% 16.82/11.96 ((~v132(constB96)) | (~v155(constB96))),
% 16.82/11.96 inference(unit_resolution,[status(thm)],[26246, 13804])).
% 16.82/11.96 tff(26248,plain,
% 16.82/11.96 ((~(v154(constB96) <=> (~((~v132(constB96)) | (~v155(constB96)))))) | (~v154(constB96)) | (~((~v132(constB96)) | (~v155(constB96))))),
% 16.82/11.96 inference(tautology,[status(thm)],[])).
% 16.82/11.96 tff(26249,plain,
% 16.82/11.96 (~v154(constB96)),
% 16.82/11.96 inference(unit_resolution,[status(thm)],[26248, 26247, 26245])).
% 16.82/11.96 tff(26250,plain,
% 16.82/11.96 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB96) <=> (~((~v130(constB96)) | (~v139(constB96)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB96) <=> (~((~v130(constB96)) | (~v139(constB96))))))),
% 16.82/11.96 inference(rewrite,[status(thm)],[])).
% 16.82/11.96 tff(26251,plain,
% 16.82/11.96 ((v153(constB96) <=> (~((~v139(constB96)) | (~v130(constB96))))) <=> (v153(constB96) <=> (~((~v130(constB96)) | (~v139(constB96)))))),
% 16.82/11.96 inference(rewrite,[status(thm)],[])).
% 16.82/11.96 tff(26252,plain,
% 16.82/11.96 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB96) <=> (~((~v139(constB96)) | (~v130(constB96)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB96) <=> (~((~v130(constB96)) | (~v139(constB96))))))),
% 16.83/11.96 inference(monotonicity,[status(thm)],[26251])).
% 16.83/11.96 tff(26253,plain,
% 16.83/11.96 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB96) <=> (~((~v139(constB96)) | (~v130(constB96)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB96) <=> (~((~v130(constB96)) | (~v139(constB96))))))),
% 16.83/11.96 inference(transitivity,[status(thm)],[26252, 26250])).
% 16.83/11.96 tff(26254,plain,
% 16.83/11.96 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB96) <=> (~((~v139(constB96)) | (~v130(constB96)))))),
% 16.83/11.96 inference(quant_inst,[status(thm)],[])).
% 16.83/11.96 tff(26255,plain,
% 16.83/11.96 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB96) <=> (~((~v130(constB96)) | (~v139(constB96)))))),
% 16.83/11.96 inference(modus_ponens,[status(thm)],[26254, 26253])).
% 16.83/11.96 tff(26256,plain,
% 16.83/11.96 (v153(constB96) <=> (~((~v130(constB96)) | (~v139(constB96))))),
% 16.83/11.96 inference(unit_resolution,[status(thm)],[26255, 447])).
% 16.83/11.96 tff(26257,plain,
% 16.83/11.96 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB96) <=> v152(constB96))),
% 16.83/11.96 inference(quant_inst,[status(thm)],[])).
% 16.83/11.96 tff(26258,plain,
% 16.83/11.96 (v130(constB96) <=> v152(constB96)),
% 16.83/11.96 inference(unit_resolution,[status(thm)],[26257, 361])).
% 16.83/11.96 tff(26259,plain,
% 16.83/11.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB95, constB96)) | (v152(constB96) <=> v150(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB95, constB96)) | (v152(constB96) <=> v150(constB95)))),
% 16.83/11.96 inference(rewrite,[status(thm)],[])).
% 16.83/11.96 tff(26260,plain,
% 16.83/11.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB95, constB96)) | (v152(constB96) <=> v150(constB95)))),
% 16.83/11.96 inference(quant_inst,[status(thm)],[])).
% 16.83/11.96 tff(26261,plain,
% 16.83/11.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB95, constB96)) | (v152(constB96) <=> v150(constB95))),
% 16.83/11.96 inference(modus_ponens,[status(thm)],[26260, 26259])).
% 16.83/11.96 tff(26262,plain,
% 16.83/11.96 (v152(constB96) <=> v150(constB95)),
% 16.83/11.96 inference(unit_resolution,[status(thm)],[26261, 6484, 373])).
% 16.83/11.96 tff(26263,plain,
% 16.83/11.96 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB95) <=> (v153(constB95) | v154(constB95)))),
% 16.83/11.96 inference(quant_inst,[status(thm)],[])).
% 16.83/11.96 tff(26264,plain,
% 16.83/11.96 (v150(constB95) <=> (v153(constB95) | v154(constB95))),
% 16.83/11.96 inference(unit_resolution,[status(thm)],[26263, 387])).
% 16.83/11.96 tff(26265,plain,
% 16.83/11.96 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB95) <=> (~((~v130(constB95)) | (~v139(constB95)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB95) <=> (~((~v130(constB95)) | (~v139(constB95))))))),
% 16.83/11.96 inference(rewrite,[status(thm)],[])).
% 16.83/11.96 tff(26266,plain,
% 16.83/11.96 ((v153(constB95) <=> (~((~v139(constB95)) | (~v130(constB95))))) <=> (v153(constB95) <=> (~((~v130(constB95)) | (~v139(constB95)))))),
% 16.83/11.96 inference(rewrite,[status(thm)],[])).
% 16.83/11.96 tff(26267,plain,
% 16.83/11.96 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB95) <=> (~((~v139(constB95)) | (~v130(constB95)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB95) <=> (~((~v130(constB95)) | (~v139(constB95))))))),
% 16.83/11.96 inference(monotonicity,[status(thm)],[26266])).
% 16.83/11.96 tff(26268,plain,
% 16.83/11.96 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB95) <=> (~((~v139(constB95)) | (~v130(constB95)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB95) <=> (~((~v130(constB95)) | (~v139(constB95))))))),
% 16.83/11.96 inference(transitivity,[status(thm)],[26267, 26265])).
% 16.83/11.96 tff(26269,plain,
% 16.83/11.96 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB95) <=> (~((~v139(constB95)) | (~v130(constB95)))))),
% 16.83/11.96 inference(quant_inst,[status(thm)],[])).
% 16.83/11.96 tff(26270,plain,
% 16.83/11.96 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB95) <=> (~((~v130(constB95)) | (~v139(constB95)))))),
% 16.83/11.96 inference(modus_ponens,[status(thm)],[26269, 26268])).
% 16.83/11.96 tff(26271,plain,
% 16.83/11.96 (v153(constB95) <=> (~((~v130(constB95)) | (~v139(constB95))))),
% 16.83/11.96 inference(unit_resolution,[status(thm)],[26270, 447])).
% 16.83/11.96 tff(26272,plain,
% 16.83/11.96 (((~v130(constB95)) | (~v139(constB95))) | v139(constB95)),
% 16.83/11.96 inference(tautology,[status(thm)],[])).
% 16.83/11.96 tff(26273,plain,
% 16.83/11.96 ((~v130(constB95)) | (~v139(constB95))),
% 16.83/11.96 inference(unit_resolution,[status(thm)],[26272, 13892])).
% 16.83/11.96 tff(26274,plain,
% 16.83/11.96 ((~(v153(constB95) <=> (~((~v130(constB95)) | (~v139(constB95)))))) | (~v153(constB95)) | (~((~v130(constB95)) | (~v139(constB95))))),
% 16.83/11.96 inference(tautology,[status(thm)],[])).
% 16.83/11.96 tff(26275,plain,
% 16.83/11.96 (~v153(constB95)),
% 16.83/11.96 inference(unit_resolution,[status(thm)],[26274, 26273, 26271])).
% 16.83/11.96 tff(26276,plain,
% 16.83/11.96 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB95) <=> (~((~v132(constB95)) | (~v155(constB95)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB95) <=> (~((~v132(constB95)) | (~v155(constB95))))))),
% 16.83/11.96 inference(rewrite,[status(thm)],[])).
% 16.83/11.96 tff(26277,plain,
% 16.83/11.96 ((v154(constB95) <=> (~((~v155(constB95)) | (~v132(constB95))))) <=> (v154(constB95) <=> (~((~v132(constB95)) | (~v155(constB95)))))),
% 16.83/11.96 inference(rewrite,[status(thm)],[])).
% 16.83/11.96 tff(26278,plain,
% 16.83/11.96 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB95) <=> (~((~v155(constB95)) | (~v132(constB95)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB95) <=> (~((~v132(constB95)) | (~v155(constB95))))))),
% 16.83/11.96 inference(monotonicity,[status(thm)],[26277])).
% 16.83/11.96 tff(26279,plain,
% 16.83/11.96 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB95) <=> (~((~v155(constB95)) | (~v132(constB95)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB95) <=> (~((~v132(constB95)) | (~v155(constB95))))))),
% 16.83/11.96 inference(transitivity,[status(thm)],[26278, 26276])).
% 16.83/11.96 tff(26280,plain,
% 16.83/11.96 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB95) <=> (~((~v155(constB95)) | (~v132(constB95)))))),
% 16.83/11.96 inference(quant_inst,[status(thm)],[])).
% 16.83/11.96 tff(26281,plain,
% 16.83/11.96 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB95) <=> (~((~v132(constB95)) | (~v155(constB95)))))),
% 16.83/11.96 inference(modus_ponens,[status(thm)],[26280, 26279])).
% 16.83/11.96 tff(26282,plain,
% 16.83/11.96 (v154(constB95) <=> (~((~v132(constB95)) | (~v155(constB95))))),
% 16.83/11.96 inference(unit_resolution,[status(thm)],[26281, 399])).
% 16.83/11.96 tff(26283,plain,
% 16.83/11.96 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB95) <=> v137(constB95))),
% 16.83/11.96 inference(quant_inst,[status(thm)],[])).
% 16.83/11.96 tff(26284,plain,
% 16.83/11.96 (v132(constB95) <=> v137(constB95)),
% 16.83/11.96 inference(unit_resolution,[status(thm)],[26283, 558])).
% 16.83/11.96 tff(26285,plain,
% 16.83/11.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB94, constB95)) | (v137(constB95) <=> v135(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB94, constB95)) | (v137(constB95) <=> v135(constB94)))),
% 16.83/11.97 inference(rewrite,[status(thm)],[])).
% 16.83/11.97 tff(26286,plain,
% 16.83/11.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB94, constB95)) | (v137(constB95) <=> v135(constB94)))),
% 16.83/11.97 inference(quant_inst,[status(thm)],[])).
% 16.83/11.97 tff(26287,plain,
% 16.83/11.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB94, constB95)) | (v137(constB95) <=> v135(constB94))),
% 16.83/11.97 inference(modus_ponens,[status(thm)],[26286, 26285])).
% 16.83/11.97 tff(26288,plain,
% 16.83/11.97 (v137(constB95) <=> v135(constB94)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26287, 6509, 570])).
% 16.83/11.97 tff(26289,plain,
% 16.83/11.97 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB94) <=> (v138(constB94) | v142(constB94)))),
% 16.83/11.97 inference(quant_inst,[status(thm)],[])).
% 16.83/11.97 tff(26290,plain,
% 16.83/11.97 (v135(constB94) <=> (v138(constB94) | v142(constB94))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26289, 584])).
% 16.83/11.97 tff(26291,plain,
% 16.83/11.97 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB94) <=> (~((~v143(constB94)) | (~v144(constB94)))))),
% 16.83/11.97 inference(quant_inst,[status(thm)],[])).
% 16.83/11.97 tff(26292,plain,
% 16.83/11.97 (v142(constB94) <=> (~((~v143(constB94)) | (~v144(constB94))))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26291, 596])).
% 16.83/11.97 tff(26293,plain,
% 16.83/11.97 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB94) <=> (~((~v141(constB94)) | (~v145(constB94)))))),
% 16.83/11.97 inference(quant_inst,[status(thm)],[])).
% 16.83/11.97 tff(26294,plain,
% 16.83/11.97 (v144(constB94) <=> (~((~v141(constB94)) | (~v145(constB94))))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26293, 608])).
% 16.83/11.97 tff(26295,plain,
% 16.83/11.97 (((~v141(constB94)) | (~v145(constB94))) | v141(constB94)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26296,plain,
% 16.83/11.97 ((~v141(constB94)) | (~v145(constB94))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26295, 13937])).
% 16.83/11.97 tff(26297,plain,
% 16.83/11.97 ((~(v144(constB94) <=> (~((~v141(constB94)) | (~v145(constB94)))))) | (~v144(constB94)) | (~((~v141(constB94)) | (~v145(constB94))))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26298,plain,
% 16.83/11.97 ((~(v144(constB94) <=> (~((~v141(constB94)) | (~v145(constB94)))))) | (~v144(constB94))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26297, 26296])).
% 16.83/11.97 tff(26299,plain,
% 16.83/11.97 (~v144(constB94)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26298, 26294])).
% 16.83/11.97 tff(26300,plain,
% 16.83/11.97 (((~v143(constB94)) | (~v144(constB94))) | v144(constB94)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26301,plain,
% 16.83/11.97 ((~v143(constB94)) | (~v144(constB94))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26300, 26299])).
% 16.83/11.97 tff(26302,plain,
% 16.83/11.97 ((~(v142(constB94) <=> (~((~v143(constB94)) | (~v144(constB94)))))) | (~v142(constB94)) | (~((~v143(constB94)) | (~v144(constB94))))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26303,plain,
% 16.83/11.97 (~v142(constB94)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26302, 26301, 26292])).
% 16.83/11.97 tff(26304,plain,
% 16.83/11.97 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94))))))),
% 16.83/11.97 inference(rewrite,[status(thm)],[])).
% 16.83/11.97 tff(26305,plain,
% 16.83/11.97 ((v138(constB94) <=> (~((~v139(constB94)) | (~v132(constB94))))) <=> (v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94)))))),
% 16.83/11.97 inference(rewrite,[status(thm)],[])).
% 16.83/11.97 tff(26306,plain,
% 16.83/11.97 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v139(constB94)) | (~v132(constB94)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94))))))),
% 16.83/11.97 inference(monotonicity,[status(thm)],[26305])).
% 16.83/11.97 tff(26307,plain,
% 16.83/11.97 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v139(constB94)) | (~v132(constB94)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94))))))),
% 16.83/11.97 inference(transitivity,[status(thm)],[26306, 26304])).
% 16.83/11.97 tff(26308,plain,
% 16.83/11.97 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v139(constB94)) | (~v132(constB94)))))),
% 16.83/11.97 inference(quant_inst,[status(thm)],[])).
% 16.83/11.97 tff(26309,plain,
% 16.83/11.97 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94)))))),
% 16.83/11.97 inference(modus_ponens,[status(thm)],[26308, 26307])).
% 16.83/11.97 tff(26310,plain,
% 16.83/11.97 (v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94))))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26309, 644])).
% 16.83/11.97 tff(26311,plain,
% 16.83/11.97 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB94) <=> v137(constB94))),
% 16.83/11.97 inference(quant_inst,[status(thm)],[])).
% 16.83/11.97 tff(26312,plain,
% 16.83/11.97 (v132(constB94) <=> v137(constB94)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26311, 558])).
% 16.83/11.97 tff(26313,plain,
% 16.83/11.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB93, constB94)) | (v137(constB94) <=> v135(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB93, constB94)) | (v137(constB94) <=> v135(constB93)))),
% 16.83/11.97 inference(rewrite,[status(thm)],[])).
% 16.83/11.97 tff(26314,plain,
% 16.83/11.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB93, constB94)) | (v137(constB94) <=> v135(constB93)))),
% 16.83/11.97 inference(quant_inst,[status(thm)],[])).
% 16.83/11.97 tff(26315,plain,
% 16.83/11.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB93, constB94)) | (v137(constB94) <=> v135(constB93))),
% 16.83/11.97 inference(modus_ponens,[status(thm)],[26314, 26313])).
% 16.83/11.97 tff(26316,plain,
% 16.83/11.97 (v137(constB94) <=> v135(constB93)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26315, 6545, 570])).
% 16.83/11.97 tff(26317,plain,
% 16.83/11.97 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB93) <=> (v138(constB93) | v142(constB93)))),
% 16.83/11.97 inference(quant_inst,[status(thm)],[])).
% 16.83/11.97 tff(26318,plain,
% 16.83/11.97 (v135(constB93) <=> (v138(constB93) | v142(constB93))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26317, 584])).
% 16.83/11.97 tff(26319,plain,
% 16.83/11.97 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93))))))),
% 16.83/11.97 inference(rewrite,[status(thm)],[])).
% 16.83/11.97 tff(26320,plain,
% 16.83/11.97 ((v138(constB93) <=> (~((~v139(constB93)) | (~v132(constB93))))) <=> (v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93)))))),
% 16.83/11.97 inference(rewrite,[status(thm)],[])).
% 16.83/11.97 tff(26321,plain,
% 16.83/11.97 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v139(constB93)) | (~v132(constB93)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93))))))),
% 16.83/11.97 inference(monotonicity,[status(thm)],[26320])).
% 16.83/11.97 tff(26322,plain,
% 16.83/11.97 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v139(constB93)) | (~v132(constB93)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93))))))),
% 16.83/11.97 inference(transitivity,[status(thm)],[26321, 26319])).
% 16.83/11.97 tff(26323,plain,
% 16.83/11.97 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v139(constB93)) | (~v132(constB93)))))),
% 16.83/11.97 inference(quant_inst,[status(thm)],[])).
% 16.83/11.97 tff(26324,plain,
% 16.83/11.97 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93)))))),
% 16.83/11.97 inference(modus_ponens,[status(thm)],[26323, 26322])).
% 16.83/11.97 tff(26325,plain,
% 16.83/11.97 (v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93))))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26324, 644])).
% 16.83/11.97 tff(26326,plain,
% 16.83/11.97 (((~v132(constB93)) | (~v139(constB93))) | v139(constB93)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26327,plain,
% 16.83/11.97 ((~v132(constB93)) | (~v139(constB93))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26326, 14030])).
% 16.83/11.97 tff(26328,plain,
% 16.83/11.97 ((~(v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93)))))) | (~v138(constB93)) | (~((~v132(constB93)) | (~v139(constB93))))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26329,plain,
% 16.83/11.97 (~v138(constB93)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26328, 26327, 26325])).
% 16.83/11.97 tff(26330,plain,
% 16.83/11.97 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB93) <=> (~((~v143(constB93)) | (~v144(constB93)))))),
% 16.83/11.97 inference(quant_inst,[status(thm)],[])).
% 16.83/11.97 tff(26331,plain,
% 16.83/11.97 (v142(constB93) <=> (~((~v143(constB93)) | (~v144(constB93))))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26330, 596])).
% 16.83/11.97 tff(26332,plain,
% 16.83/11.97 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB93) <=> (~((~v141(constB93)) | (~v145(constB93)))))),
% 16.83/11.97 inference(quant_inst,[status(thm)],[])).
% 16.83/11.97 tff(26333,plain,
% 16.83/11.97 (v144(constB93) <=> (~((~v141(constB93)) | (~v145(constB93))))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26332, 608])).
% 16.83/11.97 tff(26334,plain,
% 16.83/11.97 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB93) <=> (~(v84(constB93, 1) | v84(constB93, 2) | (~v84(constB93, 0)))))),
% 16.83/11.97 inference(quant_inst,[status(thm)],[])).
% 16.83/11.97 tff(26335,plain,
% 16.83/11.97 (v145(constB93) <=> (~(v84(constB93, 1) | v84(constB93, 2) | (~v84(constB93, 0))))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26334, 755])).
% 16.83/11.97 tff(26336,plain,
% 16.83/11.97 ((v84(constB93, 1) | v84(constB93, 2) | (~v84(constB93, 0))) | (~v84(constB93, 2))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26337,plain,
% 16.83/11.97 (v84(constB93, 1) | v84(constB93, 2) | (~v84(constB93, 0))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26336, 12085])).
% 16.83/11.97 tff(26338,plain,
% 16.83/11.97 ((~(v145(constB93) <=> (~(v84(constB93, 1) | v84(constB93, 2) | (~v84(constB93, 0)))))) | (~v145(constB93)) | (~(v84(constB93, 1) | v84(constB93, 2) | (~v84(constB93, 0))))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26339,plain,
% 16.83/11.97 (~v145(constB93)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26338, 26337, 26335])).
% 16.83/11.97 tff(26340,plain,
% 16.83/11.97 (((~v141(constB93)) | (~v145(constB93))) | v145(constB93)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26341,plain,
% 16.83/11.97 ((~v141(constB93)) | (~v145(constB93))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26340, 26339])).
% 16.83/11.97 tff(26342,plain,
% 16.83/11.97 ((~(v144(constB93) <=> (~((~v141(constB93)) | (~v145(constB93)))))) | (~v144(constB93)) | (~((~v141(constB93)) | (~v145(constB93))))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26343,plain,
% 16.83/11.97 (~v144(constB93)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26342, 26341, 26333])).
% 16.83/11.97 tff(26344,plain,
% 16.83/11.97 (((~v143(constB93)) | (~v144(constB93))) | v144(constB93)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26345,plain,
% 16.83/11.97 ((~v143(constB93)) | (~v144(constB93))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26344, 26343])).
% 16.83/11.97 tff(26346,plain,
% 16.83/11.97 ((~(v142(constB93) <=> (~((~v143(constB93)) | (~v144(constB93)))))) | (~v142(constB93)) | (~((~v143(constB93)) | (~v144(constB93))))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26347,plain,
% 16.83/11.97 (~v142(constB93)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26346, 26345, 26331])).
% 16.83/11.97 tff(26348,plain,
% 16.83/11.97 ((~(v138(constB93) | v142(constB93))) | v138(constB93) | v142(constB93)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26349,plain,
% 16.83/11.97 (~(v138(constB93) | v142(constB93))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26348, 26347, 26329])).
% 16.83/11.97 tff(26350,plain,
% 16.83/11.97 ((~(v135(constB93) <=> (v138(constB93) | v142(constB93)))) | (~v135(constB93)) | (v138(constB93) | v142(constB93))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26351,plain,
% 16.83/11.97 (~v135(constB93)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26350, 26349, 26318])).
% 16.83/11.97 tff(26352,plain,
% 16.83/11.97 ((~(v137(constB94) <=> v135(constB93))) | (~v137(constB94)) | v135(constB93)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26353,plain,
% 16.83/11.97 (~v137(constB94)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26352, 26351, 26316])).
% 16.83/11.97 tff(26354,plain,
% 16.83/11.97 ((~(v132(constB94) <=> v137(constB94))) | (~v132(constB94)) | v137(constB94)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26355,plain,
% 16.83/11.97 (~v132(constB94)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26354, 26353, 26312])).
% 16.83/11.97 tff(26356,plain,
% 16.83/11.97 (((~v132(constB94)) | (~v139(constB94))) | v132(constB94)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26357,plain,
% 16.83/11.97 ((~v132(constB94)) | (~v139(constB94))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26356, 26355])).
% 16.83/11.97 tff(26358,plain,
% 16.83/11.97 ((~(v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94)))))) | (~v138(constB94)) | (~((~v132(constB94)) | (~v139(constB94))))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26359,plain,
% 16.83/11.97 (~v138(constB94)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26358, 26357, 26310])).
% 16.83/11.97 tff(26360,plain,
% 16.83/11.97 ((~(v138(constB94) | v142(constB94))) | v138(constB94) | v142(constB94)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26361,plain,
% 16.83/11.97 (~(v138(constB94) | v142(constB94))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26360, 26359, 26303])).
% 16.83/11.97 tff(26362,plain,
% 16.83/11.97 ((~(v135(constB94) <=> (v138(constB94) | v142(constB94)))) | (~v135(constB94)) | (v138(constB94) | v142(constB94))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26363,plain,
% 16.83/11.97 (~v135(constB94)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26362, 26361, 26290])).
% 16.83/11.97 tff(26364,plain,
% 16.83/11.97 ((~(v137(constB95) <=> v135(constB94))) | (~v137(constB95)) | v135(constB94)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26365,plain,
% 16.83/11.97 (~v137(constB95)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26364, 26363, 26288])).
% 16.83/11.97 tff(26366,plain,
% 16.83/11.97 ((~(v132(constB95) <=> v137(constB95))) | (~v132(constB95)) | v137(constB95)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26367,plain,
% 16.83/11.97 (~v132(constB95)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26366, 26365, 26284])).
% 16.83/11.97 tff(26368,plain,
% 16.83/11.97 (((~v132(constB95)) | (~v155(constB95))) | v132(constB95)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26369,plain,
% 16.83/11.97 ((~v132(constB95)) | (~v155(constB95))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26368, 26367])).
% 16.83/11.97 tff(26370,plain,
% 16.83/11.97 ((~(v154(constB95) <=> (~((~v132(constB95)) | (~v155(constB95)))))) | (~v154(constB95)) | (~((~v132(constB95)) | (~v155(constB95))))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26371,plain,
% 16.83/11.97 (~v154(constB95)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26370, 26369, 26282])).
% 16.83/11.97 tff(26372,plain,
% 16.83/11.97 ((~(v153(constB95) | v154(constB95))) | v153(constB95) | v154(constB95)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26373,plain,
% 16.83/11.97 (~(v153(constB95) | v154(constB95))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26372, 26371, 26275])).
% 16.83/11.97 tff(26374,plain,
% 16.83/11.97 ((~(v150(constB95) <=> (v153(constB95) | v154(constB95)))) | (~v150(constB95)) | (v153(constB95) | v154(constB95))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26375,plain,
% 16.83/11.97 (~v150(constB95)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26374, 26373, 26264])).
% 16.83/11.97 tff(26376,plain,
% 16.83/11.97 ((~(v152(constB96) <=> v150(constB95))) | (~v152(constB96)) | v150(constB95)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26377,plain,
% 16.83/11.97 (~v152(constB96)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26376, 26375, 26262])).
% 16.83/11.97 tff(26378,plain,
% 16.83/11.97 ((~(v130(constB96) <=> v152(constB96))) | (~v130(constB96)) | v152(constB96)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26379,plain,
% 16.83/11.97 (~v130(constB96)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26378, 26377, 26258])).
% 16.83/11.97 tff(26380,plain,
% 16.83/11.97 (((~v130(constB96)) | (~v139(constB96))) | v130(constB96)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26381,plain,
% 16.83/11.97 ((~v130(constB96)) | (~v139(constB96))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26380, 26379])).
% 16.83/11.97 tff(26382,plain,
% 16.83/11.97 ((~(v153(constB96) <=> (~((~v130(constB96)) | (~v139(constB96)))))) | (~v153(constB96)) | (~((~v130(constB96)) | (~v139(constB96))))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26383,plain,
% 16.83/11.97 (~v153(constB96)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26382, 26381, 26256])).
% 16.83/11.97 tff(26384,plain,
% 16.83/11.97 ((~(v153(constB96) | v154(constB96))) | v153(constB96) | v154(constB96)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26385,plain,
% 16.83/11.97 (~(v153(constB96) | v154(constB96))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26384, 26383, 26249])).
% 16.83/11.97 tff(26386,plain,
% 16.83/11.97 ((~(v150(constB96) <=> (v153(constB96) | v154(constB96)))) | (~v150(constB96)) | (v153(constB96) | v154(constB96))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26387,plain,
% 16.83/11.97 (~v150(constB96)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26386, 26385, 26238])).
% 16.83/11.97 tff(26388,plain,
% 16.83/11.97 ((~(v152(constB97) <=> v150(constB96))) | (~v152(constB97)) | v150(constB96)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26389,plain,
% 16.83/11.97 (~v152(constB97)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26388, 26387, 26236])).
% 16.83/11.97 tff(26390,plain,
% 16.83/11.97 ((~(v130(constB97) <=> v152(constB97))) | (~v130(constB97)) | v152(constB97)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26391,plain,
% 16.83/11.97 (~v130(constB97)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26390, 26389, 26232])).
% 16.83/11.97 tff(26392,plain,
% 16.83/11.97 (((~v130(constB97)) | (~v155(constB97))) | v130(constB97)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26393,plain,
% 16.83/11.97 ((~v130(constB97)) | (~v155(constB97))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26392, 26391])).
% 16.83/11.97 tff(26394,plain,
% 16.83/11.97 ((~(v164(constB97) <=> (~((~v130(constB97)) | (~v155(constB97)))))) | (~v164(constB97)) | (~((~v130(constB97)) | (~v155(constB97))))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26395,plain,
% 16.83/11.97 (~v164(constB97)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26394, 26393, 26230])).
% 16.83/11.97 tff(26396,plain,
% 16.83/11.97 ((~(v163(constB97) | v164(constB97))) | v163(constB97) | v164(constB97)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26397,plain,
% 16.83/11.97 (~(v163(constB97) | v164(constB97))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26396, 26395, 26223])).
% 16.83/11.97 tff(26398,plain,
% 16.83/11.97 ((~(v160(constB97) <=> (v163(constB97) | v164(constB97)))) | (~v160(constB97)) | (v163(constB97) | v164(constB97))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26399,plain,
% 16.83/11.97 (~v160(constB97)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26398, 26397, 26150])).
% 16.83/11.97 tff(26400,plain,
% 16.83/11.97 ((~(v162(constB98) <=> v160(constB97))) | (~v162(constB98)) | v160(constB97)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26401,plain,
% 16.83/11.97 (~v162(constB98)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26400, 26399, 26148])).
% 16.83/11.97 tff(26402,plain,
% 16.83/11.97 ((~(v128(constB98) <=> v162(constB98))) | (~v128(constB98)) | v162(constB98)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26403,plain,
% 16.83/11.97 (~v128(constB98)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26402, 26401, 26144])).
% 16.83/11.97 tff(26404,plain,
% 16.83/11.97 (((~v128(constB98)) | (~v139(constB98))) | v128(constB98)),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26405,plain,
% 16.83/11.97 ((~v128(constB98)) | (~v139(constB98))),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26404, 26403])).
% 16.83/11.97 tff(26406,plain,
% 16.83/11.97 ((~(v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98)))))) | (~v163(constB98)) | (~((~v128(constB98)) | (~v139(constB98))))),
% 16.83/11.97 inference(tautology,[status(thm)],[])).
% 16.83/11.97 tff(26407,plain,
% 16.83/11.97 (~v163(constB98)),
% 16.83/11.97 inference(unit_resolution,[status(thm)],[26406, 26405, 26142])).
% 16.83/11.98 tff(26408,plain,
% 16.83/11.98 ((~(v163(constB98) | v164(constB98))) | v163(constB98) | v164(constB98)),
% 16.83/11.98 inference(tautology,[status(thm)],[])).
% 16.83/11.98 tff(26409,plain,
% 16.83/11.98 (~(v163(constB98) | v164(constB98))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26408, 26407, 26135])).
% 16.83/11.98 tff(26410,plain,
% 16.83/11.98 ((~(v160(constB98) <=> (v163(constB98) | v164(constB98)))) | (~v160(constB98)) | (v163(constB98) | v164(constB98))),
% 16.83/11.98 inference(tautology,[status(thm)],[])).
% 16.83/11.98 tff(26411,plain,
% 16.83/11.98 (~v160(constB98)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26410, 26409, 26100])).
% 16.83/11.98 tff(26412,plain,
% 16.83/11.98 ((~(v162(constB99) <=> v160(constB98))) | (~v162(constB99)) | v160(constB98)),
% 16.83/11.98 inference(tautology,[status(thm)],[])).
% 16.83/11.98 tff(26413,plain,
% 16.83/11.98 (~v162(constB99)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26412, 26411, 26098])).
% 16.83/11.98 tff(26414,plain,
% 16.83/11.98 ($false),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26413, 26094])).
% 16.83/11.98 tff(26415,plain,(~(constB99 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.83/11.98 tff(26416,assumption,(constB67 = VarCurr!0), introduced(assumption)).
% 16.83/11.98 tff(26417,plain,
% 16.83/11.98 (v162(constB67) <=> v162(VarCurr!0)),
% 16.83/11.98 inference(monotonicity,[status(thm)],[26416])).
% 16.83/11.98 tff(26418,plain,
% 16.83/11.98 (v162(VarCurr!0) <=> v162(constB67)),
% 16.83/11.98 inference(symmetry,[status(thm)],[26417])).
% 16.83/11.98 tff(26419,plain,
% 16.83/11.98 (v162(constB67)),
% 16.83/11.98 inference(modus_ponens,[status(thm)],[59, 26418])).
% 16.83/11.98 tff(26420,plain,
% 16.83/11.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB66, constB67)) | (v162(constB67) <=> v160(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB66, constB67)) | (v162(constB67) <=> v160(constB66)))),
% 16.83/11.98 inference(rewrite,[status(thm)],[])).
% 16.83/11.98 tff(26421,plain,
% 16.83/11.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB66, constB67)) | (v162(constB67) <=> v160(constB66)))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26422,plain,
% 16.83/11.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB66, constB67)) | (v162(constB67) <=> v160(constB66))),
% 16.83/11.98 inference(modus_ponens,[status(thm)],[26421, 26420])).
% 16.83/11.98 tff(26423,plain,
% 16.83/11.98 (v162(constB67) <=> v160(constB66)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26422, 7393, 70])).
% 16.83/11.98 tff(26424,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB66) <=> (v163(constB66) | v164(constB66)))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26425,plain,
% 16.83/11.98 (v160(constB66) <=> (v163(constB66) | v164(constB66))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26424, 84])).
% 16.83/11.98 tff(26426,plain,
% 16.83/11.98 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v130(constB66)) | (~v155(constB66)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v130(constB66)) | (~v155(constB66))))))),
% 16.83/11.98 inference(rewrite,[status(thm)],[])).
% 16.83/11.98 tff(26427,plain,
% 16.83/11.98 ((v164(constB66) <=> (~((~v155(constB66)) | (~v130(constB66))))) <=> (v164(constB66) <=> (~((~v130(constB66)) | (~v155(constB66)))))),
% 16.83/11.98 inference(rewrite,[status(thm)],[])).
% 16.83/11.98 tff(26428,plain,
% 16.83/11.98 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v155(constB66)) | (~v130(constB66)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v130(constB66)) | (~v155(constB66))))))),
% 16.83/11.98 inference(monotonicity,[status(thm)],[26427])).
% 16.83/11.98 tff(26429,plain,
% 16.83/11.98 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v155(constB66)) | (~v130(constB66)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v130(constB66)) | (~v155(constB66))))))),
% 16.83/11.98 inference(transitivity,[status(thm)],[26428, 26426])).
% 16.83/11.98 tff(26430,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v155(constB66)) | (~v130(constB66)))))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26431,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v130(constB66)) | (~v155(constB66)))))),
% 16.83/11.98 inference(modus_ponens,[status(thm)],[26430, 26429])).
% 16.83/11.98 tff(26432,plain,
% 16.83/11.98 (v164(constB66) <=> (~((~v130(constB66)) | (~v155(constB66))))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26431, 96])).
% 16.83/11.98 tff(26433,plain,
% 16.83/11.98 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB66) <=> (~((~v141(constB66)) | (~v143(constB66)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB66) <=> (~((~v141(constB66)) | (~v143(constB66))))))),
% 16.83/11.98 inference(rewrite,[status(thm)],[])).
% 16.83/11.98 tff(26434,plain,
% 16.83/11.98 ((v155(constB66) <=> (~((~v143(constB66)) | (~v141(constB66))))) <=> (v155(constB66) <=> (~((~v141(constB66)) | (~v143(constB66)))))),
% 16.83/11.98 inference(rewrite,[status(thm)],[])).
% 16.83/11.98 tff(26435,plain,
% 16.83/11.98 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB66) <=> (~((~v143(constB66)) | (~v141(constB66)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB66) <=> (~((~v141(constB66)) | (~v143(constB66))))))),
% 16.83/11.98 inference(monotonicity,[status(thm)],[26434])).
% 16.83/11.98 tff(26436,plain,
% 16.83/11.98 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB66) <=> (~((~v143(constB66)) | (~v141(constB66)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB66) <=> (~((~v141(constB66)) | (~v143(constB66))))))),
% 16.83/11.98 inference(transitivity,[status(thm)],[26435, 26433])).
% 16.83/11.98 tff(26437,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB66) <=> (~((~v143(constB66)) | (~v141(constB66)))))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26438,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB66) <=> (~((~v141(constB66)) | (~v143(constB66)))))),
% 16.83/11.98 inference(modus_ponens,[status(thm)],[26437, 26436])).
% 16.83/11.98 tff(26439,plain,
% 16.83/11.98 (v155(constB66) <=> (~((~v141(constB66)) | (~v143(constB66))))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26438, 113])).
% 16.83/11.98 tff(26440,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26441,plain,
% 16.83/11.98 (v141(constB66) <=> (~((~v39(constB66)) | (~v9(constB66))))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26440, 130])).
% 16.83/11.98 tff(26442,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB66)) <=> v1(constB66))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26443,plain,
% 16.83/11.98 ((~v39(constB66)) <=> v1(constB66)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26442, 139])).
% 16.83/11.98 tff(26444,plain,
% 16.83/11.98 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66)) | (~v1(constB66))),
% 16.83/11.98 inference(tautology,[status(thm)],[])).
% 16.83/11.98 tff(26445,plain,
% 16.83/11.98 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26444, 9954])).
% 16.83/11.98 tff(26446,plain,
% 16.83/11.98 (~v39(constB66)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26445, 26443])).
% 16.83/11.98 tff(26447,plain,
% 16.83/11.98 (((~v39(constB66)) | (~v9(constB66))) | v39(constB66)),
% 16.83/11.98 inference(tautology,[status(thm)],[])).
% 16.83/11.98 tff(26448,plain,
% 16.83/11.98 ((~v39(constB66)) | (~v9(constB66))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26447, 26446])).
% 16.83/11.98 tff(26449,plain,
% 16.83/11.98 ((~(v141(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v141(constB66)) | (~((~v39(constB66)) | (~v9(constB66))))),
% 16.83/11.98 inference(tautology,[status(thm)],[])).
% 16.83/11.98 tff(26450,plain,
% 16.83/11.98 ((~(v141(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v141(constB66))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26449, 26448])).
% 16.83/11.98 tff(26451,plain,
% 16.83/11.98 (~v141(constB66)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26450, 26441])).
% 16.83/11.98 tff(26452,plain,
% 16.83/11.98 (((~v141(constB66)) | (~v143(constB66))) | v141(constB66)),
% 16.83/11.98 inference(tautology,[status(thm)],[])).
% 16.83/11.98 tff(26453,plain,
% 16.83/11.98 ((~v141(constB66)) | (~v143(constB66))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26452, 26451])).
% 16.83/11.98 tff(26454,plain,
% 16.83/11.98 ((~(v155(constB66) <=> (~((~v141(constB66)) | (~v143(constB66)))))) | (~v155(constB66)) | (~((~v141(constB66)) | (~v143(constB66))))),
% 16.83/11.98 inference(tautology,[status(thm)],[])).
% 16.83/11.98 tff(26455,plain,
% 16.83/11.98 ((~(v155(constB66) <=> (~((~v141(constB66)) | (~v143(constB66)))))) | (~v155(constB66))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26454, 26453])).
% 16.83/11.98 tff(26456,plain,
% 16.83/11.98 (~v155(constB66)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26455, 26439])).
% 16.83/11.98 tff(26457,plain,
% 16.83/11.98 (((~v130(constB66)) | (~v155(constB66))) | v155(constB66)),
% 16.83/11.98 inference(tautology,[status(thm)],[])).
% 16.83/11.98 tff(26458,plain,
% 16.83/11.98 ((~v130(constB66)) | (~v155(constB66))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26457, 26456])).
% 16.83/11.98 tff(26459,plain,
% 16.83/11.98 ((~(v164(constB66) <=> (~((~v130(constB66)) | (~v155(constB66)))))) | (~v164(constB66)) | (~((~v130(constB66)) | (~v155(constB66))))),
% 16.83/11.98 inference(tautology,[status(thm)],[])).
% 16.83/11.98 tff(26460,plain,
% 16.83/11.98 (~v164(constB66)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26459, 26458, 26432])).
% 16.83/11.98 tff(26461,plain,
% 16.83/11.98 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66))))))),
% 16.83/11.98 inference(rewrite,[status(thm)],[])).
% 16.83/11.98 tff(26462,plain,
% 16.83/11.98 ((v163(constB66) <=> (~((~v139(constB66)) | (~v128(constB66))))) <=> (v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66)))))),
% 16.83/11.98 inference(rewrite,[status(thm)],[])).
% 16.83/11.98 tff(26463,plain,
% 16.83/11.98 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v139(constB66)) | (~v128(constB66)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66))))))),
% 16.83/11.98 inference(monotonicity,[status(thm)],[26462])).
% 16.83/11.98 tff(26464,plain,
% 16.83/11.98 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v139(constB66)) | (~v128(constB66)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66))))))),
% 16.83/11.98 inference(transitivity,[status(thm)],[26463, 26461])).
% 16.83/11.98 tff(26465,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v139(constB66)) | (~v128(constB66)))))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26466,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66)))))),
% 16.83/11.98 inference(modus_ponens,[status(thm)],[26465, 26464])).
% 16.83/11.98 tff(26467,plain,
% 16.83/11.98 (v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66))))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26466, 171])).
% 16.83/11.98 tff(26468,plain,
% 16.83/11.98 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB66) <=> v162(constB66))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26469,plain,
% 16.83/11.98 (v128(constB66) <=> v162(constB66)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26468, 13])).
% 16.83/11.98 tff(26470,plain,
% 16.83/11.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB65, constB66)) | (v162(constB66) <=> v160(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB65, constB66)) | (v162(constB66) <=> v160(constB65)))),
% 16.83/11.98 inference(rewrite,[status(thm)],[])).
% 16.83/11.98 tff(26471,plain,
% 16.83/11.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB65, constB66)) | (v162(constB66) <=> v160(constB65)))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26472,plain,
% 16.83/11.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB65, constB66)) | (v162(constB66) <=> v160(constB65))),
% 16.83/11.98 inference(modus_ponens,[status(thm)],[26471, 26470])).
% 16.83/11.98 tff(26473,plain,
% 16.83/11.98 (v162(constB66) <=> v160(constB65)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26472, 7429, 70])).
% 16.83/11.98 tff(26474,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB65) <=> (v163(constB65) | v164(constB65)))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26475,plain,
% 16.83/11.98 (v160(constB65) <=> (v163(constB65) | v164(constB65))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26474, 84])).
% 16.83/11.98 tff(26476,plain,
% 16.83/11.98 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65))))))),
% 16.83/11.98 inference(rewrite,[status(thm)],[])).
% 16.83/11.98 tff(26477,plain,
% 16.83/11.98 ((v163(constB65) <=> (~((~v139(constB65)) | (~v128(constB65))))) <=> (v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65)))))),
% 16.83/11.98 inference(rewrite,[status(thm)],[])).
% 16.83/11.98 tff(26478,plain,
% 16.83/11.98 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v139(constB65)) | (~v128(constB65)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65))))))),
% 16.83/11.98 inference(monotonicity,[status(thm)],[26477])).
% 16.83/11.98 tff(26479,plain,
% 16.83/11.98 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v139(constB65)) | (~v128(constB65)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65))))))),
% 16.83/11.98 inference(transitivity,[status(thm)],[26478, 26476])).
% 16.83/11.98 tff(26480,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v139(constB65)) | (~v128(constB65)))))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26481,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65)))))),
% 16.83/11.98 inference(modus_ponens,[status(thm)],[26480, 26479])).
% 16.83/11.98 tff(26482,plain,
% 16.83/11.98 (v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65))))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26481, 171])).
% 16.83/11.98 tff(26483,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB65)) <=> v140(constB65))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26484,plain,
% 16.83/11.98 ((~v139(constB65)) <=> v140(constB65)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26483, 203])).
% 16.83/11.98 tff(26485,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB65) <=> (v141(constB65) | v26(constB65)))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26486,plain,
% 16.83/11.98 (v140(constB65) <=> (v141(constB65) | v26(constB65))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26485, 212])).
% 16.83/11.98 tff(26487,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26488,plain,
% 16.83/11.98 (v141(constB65) <=> (~((~v39(constB65)) | (~v9(constB65))))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26487, 130])).
% 16.83/11.98 tff(26489,plain,
% 16.83/11.98 (((~![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)))),
% 16.83/11.98 inference(rewrite,[status(thm)],[])).
% 16.83/11.98 tff(26490,plain,
% 16.83/11.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65)))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26491,plain,
% 16.83/11.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65))),
% 16.83/11.98 inference(modus_ponens,[status(thm)],[26490, 26489])).
% 16.83/11.98 tff(26492,plain,
% 16.83/11.98 (v13(constB66) <=> v9(constB65)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26491, 7429, 226])).
% 16.83/11.98 tff(26493,plain,
% 16.83/11.98 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB66) <=> v13(constB66))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26494,plain,
% 16.83/11.98 (v6(constB66) <=> v13(constB66)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26493, 240])).
% 16.83/11.98 tff(26495,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB66)) <=> v6(constB66))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26496,plain,
% 16.83/11.98 ((~v21(constB66)) <=> v6(constB66)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26495, 249])).
% 16.83/11.98 tff(26497,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB66) <=> (v20(constB66) | v21(constB66)))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26498,plain,
% 16.83/11.98 (v19(constB66) <=> (v20(constB66) | v21(constB66))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26497, 258])).
% 16.83/11.98 tff(26499,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26500,plain,
% 16.83/11.98 (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66))))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26499, 270])).
% 16.83/11.98 tff(26501,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB66)) <=> v18(constB66))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26502,plain,
% 16.83/11.98 ((~v4(constB66)) <=> v18(constB66)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26501, 279])).
% 16.83/11.98 tff(26503,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB66)),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26504,plain,
% 16.83/11.98 (v4(constB66)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26503, 288])).
% 16.83/11.98 tff(26505,plain,
% 16.83/11.98 ((~((~v4(constB66)) <=> v18(constB66))) | (~v4(constB66)) | (~v18(constB66))),
% 16.83/11.98 inference(tautology,[status(thm)],[])).
% 16.83/11.98 tff(26506,plain,
% 16.83/11.98 (~v18(constB66)),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26505, 26504, 26502])).
% 16.83/11.98 tff(26507,plain,
% 16.83/11.98 ((~(v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))) | v18(constB66) | ((~v19(constB66)) | (~v22(constB66)))),
% 16.83/11.98 inference(tautology,[status(thm)],[])).
% 16.83/11.98 tff(26508,plain,
% 16.83/11.98 ((~v19(constB66)) | (~v22(constB66))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26507, 26506, 26500])).
% 16.83/11.98 tff(26509,plain,
% 16.83/11.98 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB66) <=> (v1(constB66) | v6(constB66)))),
% 16.83/11.98 inference(quant_inst,[status(thm)],[])).
% 16.83/11.98 tff(26510,plain,
% 16.83/11.98 (v22(constB66) <=> (v1(constB66) | v6(constB66))),
% 16.83/11.98 inference(unit_resolution,[status(thm)],[26509, 301])).
% 16.83/11.98 tff(26511,plain,
% 16.83/11.98 ((v1(constB66) | v6(constB66)) | (~v1(constB66))),
% 16.83/11.98 inference(tautology,[status(thm)],[])).
% 16.83/11.98 tff(26512,plain,
% 16.83/11.98 (v1(constB66) | v6(constB66)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26511, 9954])).
% 16.83/11.99 tff(26513,plain,
% 16.83/11.99 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66) | (~(v1(constB66) | v6(constB66)))),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26514,plain,
% 16.83/11.99 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26513, 26512])).
% 16.83/11.99 tff(26515,plain,
% 16.83/11.99 (v22(constB66)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26514, 26510])).
% 16.83/11.99 tff(26516,plain,
% 16.83/11.99 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66)) | (~v22(constB66))),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26517,plain,
% 16.83/11.99 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26516, 26515])).
% 16.83/11.99 tff(26518,plain,
% 16.83/11.99 (~v19(constB66)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26517, 26508])).
% 16.83/11.99 tff(26519,plain,
% 16.83/11.99 ((~(v19(constB66) <=> (v20(constB66) | v21(constB66)))) | v19(constB66) | (~(v20(constB66) | v21(constB66)))),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26520,plain,
% 16.83/11.99 (~(v20(constB66) | v21(constB66))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26519, 26518, 26498])).
% 16.83/11.99 tff(26521,plain,
% 16.83/11.99 ((v20(constB66) | v21(constB66)) | (~v21(constB66))),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26522,plain,
% 16.83/11.99 (~v21(constB66)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26521, 26520])).
% 16.83/11.99 tff(26523,plain,
% 16.83/11.99 ((~((~v21(constB66)) <=> v6(constB66))) | v21(constB66) | v6(constB66)),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26524,plain,
% 16.83/11.99 (v6(constB66)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26523, 26522, 26496])).
% 16.83/11.99 tff(26525,plain,
% 16.83/11.99 ((~(v6(constB66) <=> v13(constB66))) | (~v6(constB66)) | v13(constB66)),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26526,plain,
% 16.83/11.99 (v13(constB66)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26525, 26524, 26494])).
% 16.83/11.99 tff(26527,plain,
% 16.83/11.99 ((~(v13(constB66) <=> v9(constB65))) | (~v13(constB66)) | v9(constB65)),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26528,plain,
% 16.83/11.99 (v9(constB65)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26527, 26526, 26492])).
% 16.83/11.99 tff(26529,plain,
% 16.83/11.99 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB65)) <=> v1(constB65))),
% 16.83/11.99 inference(quant_inst,[status(thm)],[])).
% 16.83/11.99 tff(26530,plain,
% 16.83/11.99 ((~v39(constB65)) <=> v1(constB65)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26529, 139])).
% 16.83/11.99 tff(26531,plain,
% 16.83/11.99 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65) | v1(constB65)),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26532,plain,
% 16.83/11.99 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26531, 7468])).
% 16.83/11.99 tff(26533,plain,
% 16.83/11.99 (v39(constB65)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26532, 26530])).
% 16.83/11.99 tff(26534,plain,
% 16.83/11.99 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v39(constB65)) | (~v9(constB65))),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26535,plain,
% 16.83/11.99 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v9(constB65))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26534, 26533])).
% 16.83/11.99 tff(26536,plain,
% 16.83/11.99 (~((~v39(constB65)) | (~v9(constB65)))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26535, 26528])).
% 16.83/11.99 tff(26537,plain,
% 16.83/11.99 ((~(v141(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))) | v141(constB65) | ((~v39(constB65)) | (~v9(constB65)))),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26538,plain,
% 16.83/11.99 (v141(constB65)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26537, 26536, 26488])).
% 16.83/11.99 tff(26539,plain,
% 16.83/11.99 ((v141(constB65) | v26(constB65)) | (~v141(constB65))),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26540,plain,
% 16.83/11.99 (v141(constB65) | v26(constB65)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26539, 26538])).
% 16.83/11.99 tff(26541,plain,
% 16.83/11.99 ((~(v140(constB65) <=> (v141(constB65) | v26(constB65)))) | v140(constB65) | (~(v141(constB65) | v26(constB65)))),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26542,plain,
% 16.83/11.99 (v140(constB65)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26541, 26540, 26486])).
% 16.83/11.99 tff(26543,plain,
% 16.83/11.99 ((~((~v139(constB65)) <=> v140(constB65))) | (~v139(constB65)) | (~v140(constB65))),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26544,plain,
% 16.83/11.99 (~v139(constB65)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26543, 26542, 26484])).
% 16.83/11.99 tff(26545,plain,
% 16.83/11.99 (((~v128(constB65)) | (~v139(constB65))) | v139(constB65)),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26546,plain,
% 16.83/11.99 ((~v128(constB65)) | (~v139(constB65))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26545, 26544])).
% 16.83/11.99 tff(26547,plain,
% 16.83/11.99 ((~(v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65)))))) | (~v163(constB65)) | (~((~v128(constB65)) | (~v139(constB65))))),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26548,plain,
% 16.83/11.99 (~v163(constB65)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26547, 26546, 26482])).
% 16.83/11.99 tff(26549,plain,
% 16.83/11.99 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v130(constB65)) | (~v155(constB65)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v130(constB65)) | (~v155(constB65))))))),
% 16.83/11.99 inference(rewrite,[status(thm)],[])).
% 16.83/11.99 tff(26550,plain,
% 16.83/11.99 ((v164(constB65) <=> (~((~v155(constB65)) | (~v130(constB65))))) <=> (v164(constB65) <=> (~((~v130(constB65)) | (~v155(constB65)))))),
% 16.83/11.99 inference(rewrite,[status(thm)],[])).
% 16.83/11.99 tff(26551,plain,
% 16.83/11.99 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v155(constB65)) | (~v130(constB65)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v130(constB65)) | (~v155(constB65))))))),
% 16.83/11.99 inference(monotonicity,[status(thm)],[26550])).
% 16.83/11.99 tff(26552,plain,
% 16.83/11.99 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v155(constB65)) | (~v130(constB65)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v130(constB65)) | (~v155(constB65))))))),
% 16.83/11.99 inference(transitivity,[status(thm)],[26551, 26549])).
% 16.83/11.99 tff(26553,plain,
% 16.83/11.99 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v155(constB65)) | (~v130(constB65)))))),
% 16.83/11.99 inference(quant_inst,[status(thm)],[])).
% 16.83/11.99 tff(26554,plain,
% 16.83/11.99 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v130(constB65)) | (~v155(constB65)))))),
% 16.83/11.99 inference(modus_ponens,[status(thm)],[26553, 26552])).
% 16.83/11.99 tff(26555,plain,
% 16.83/11.99 (v164(constB65) <=> (~((~v130(constB65)) | (~v155(constB65))))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26554, 96])).
% 16.83/11.99 tff(26556,plain,
% 16.83/11.99 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB65) <=> v152(constB65))),
% 16.83/11.99 inference(quant_inst,[status(thm)],[])).
% 16.83/11.99 tff(26557,plain,
% 16.83/11.99 (v130(constB65) <=> v152(constB65)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26556, 361])).
% 16.83/11.99 tff(26558,plain,
% 16.83/11.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB64, constB65)) | (v152(constB65) <=> v150(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB64, constB65)) | (v152(constB65) <=> v150(constB64)))),
% 16.83/11.99 inference(rewrite,[status(thm)],[])).
% 16.83/11.99 tff(26559,plain,
% 16.83/11.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB64, constB65)) | (v152(constB65) <=> v150(constB64)))),
% 16.83/11.99 inference(quant_inst,[status(thm)],[])).
% 16.83/11.99 tff(26560,plain,
% 16.83/11.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB64, constB65)) | (v152(constB65) <=> v150(constB64))),
% 16.83/11.99 inference(modus_ponens,[status(thm)],[26559, 26558])).
% 16.83/11.99 tff(26561,plain,
% 16.83/11.99 (v152(constB65) <=> v150(constB64)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26560, 7454, 373])).
% 16.83/11.99 tff(26562,plain,
% 16.83/11.99 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB64) <=> (v153(constB64) | v154(constB64)))),
% 16.83/11.99 inference(quant_inst,[status(thm)],[])).
% 16.83/11.99 tff(26563,plain,
% 16.83/11.99 (v150(constB64) <=> (v153(constB64) | v154(constB64))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26562, 387])).
% 16.83/11.99 tff(26564,plain,
% 16.83/11.99 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB64) <=> (~((~v132(constB64)) | (~v155(constB64)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB64) <=> (~((~v132(constB64)) | (~v155(constB64))))))),
% 16.83/11.99 inference(rewrite,[status(thm)],[])).
% 16.83/11.99 tff(26565,plain,
% 16.83/11.99 ((v154(constB64) <=> (~((~v155(constB64)) | (~v132(constB64))))) <=> (v154(constB64) <=> (~((~v132(constB64)) | (~v155(constB64)))))),
% 16.83/11.99 inference(rewrite,[status(thm)],[])).
% 16.83/11.99 tff(26566,plain,
% 16.83/11.99 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB64) <=> (~((~v155(constB64)) | (~v132(constB64)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB64) <=> (~((~v132(constB64)) | (~v155(constB64))))))),
% 16.83/11.99 inference(monotonicity,[status(thm)],[26565])).
% 16.83/11.99 tff(26567,plain,
% 16.83/11.99 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB64) <=> (~((~v155(constB64)) | (~v132(constB64)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB64) <=> (~((~v132(constB64)) | (~v155(constB64))))))),
% 16.83/11.99 inference(transitivity,[status(thm)],[26566, 26564])).
% 16.83/11.99 tff(26568,plain,
% 16.83/11.99 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB64) <=> (~((~v155(constB64)) | (~v132(constB64)))))),
% 16.83/11.99 inference(quant_inst,[status(thm)],[])).
% 16.83/11.99 tff(26569,plain,
% 16.83/11.99 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB64) <=> (~((~v132(constB64)) | (~v155(constB64)))))),
% 16.83/11.99 inference(modus_ponens,[status(thm)],[26568, 26567])).
% 16.83/11.99 tff(26570,plain,
% 16.83/11.99 (v154(constB64) <=> (~((~v132(constB64)) | (~v155(constB64))))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26569, 399])).
% 16.83/11.99 tff(26571,plain,
% 16.83/11.99 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB64) <=> (~((~v141(constB64)) | (~v143(constB64)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB64) <=> (~((~v141(constB64)) | (~v143(constB64))))))),
% 16.83/11.99 inference(rewrite,[status(thm)],[])).
% 16.83/11.99 tff(26572,plain,
% 16.83/11.99 ((v155(constB64) <=> (~((~v143(constB64)) | (~v141(constB64))))) <=> (v155(constB64) <=> (~((~v141(constB64)) | (~v143(constB64)))))),
% 16.83/11.99 inference(rewrite,[status(thm)],[])).
% 16.83/11.99 tff(26573,plain,
% 16.83/11.99 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB64) <=> (~((~v143(constB64)) | (~v141(constB64)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB64) <=> (~((~v141(constB64)) | (~v143(constB64))))))),
% 16.83/11.99 inference(monotonicity,[status(thm)],[26572])).
% 16.83/11.99 tff(26574,plain,
% 16.83/11.99 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB64) <=> (~((~v143(constB64)) | (~v141(constB64)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB64) <=> (~((~v141(constB64)) | (~v143(constB64))))))),
% 16.83/11.99 inference(transitivity,[status(thm)],[26573, 26571])).
% 16.83/11.99 tff(26575,plain,
% 16.83/11.99 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB64) <=> (~((~v143(constB64)) | (~v141(constB64)))))),
% 16.83/11.99 inference(quant_inst,[status(thm)],[])).
% 16.83/11.99 tff(26576,plain,
% 16.83/11.99 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB64) <=> (~((~v141(constB64)) | (~v143(constB64)))))),
% 16.83/11.99 inference(modus_ponens,[status(thm)],[26575, 26574])).
% 16.83/11.99 tff(26577,plain,
% 16.83/11.99 (v155(constB64) <=> (~((~v141(constB64)) | (~v143(constB64))))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26576, 113])).
% 16.83/11.99 tff(26578,plain,
% 16.83/11.99 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB64) <=> (~((~v39(constB64)) | (~v9(constB64)))))),
% 16.83/11.99 inference(quant_inst,[status(thm)],[])).
% 16.83/11.99 tff(26579,plain,
% 16.83/11.99 (v141(constB64) <=> (~((~v39(constB64)) | (~v9(constB64))))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26578, 130])).
% 16.83/11.99 tff(26580,plain,
% 16.83/11.99 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB64)) <=> v1(constB64))),
% 16.83/11.99 inference(quant_inst,[status(thm)],[])).
% 16.83/11.99 tff(26581,plain,
% 16.83/11.99 ((~v39(constB64)) <=> v1(constB64)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26580, 139])).
% 16.83/11.99 tff(26582,plain,
% 16.83/11.99 ((~((~v39(constB64)) <=> v1(constB64))) | (~v39(constB64)) | (~v1(constB64))),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26583,plain,
% 16.83/11.99 ((~((~v39(constB64)) <=> v1(constB64))) | (~v39(constB64))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26582, 9781])).
% 16.83/11.99 tff(26584,plain,
% 16.83/11.99 (~v39(constB64)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26583, 26581])).
% 16.83/11.99 tff(26585,plain,
% 16.83/11.99 (((~v39(constB64)) | (~v9(constB64))) | v39(constB64)),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26586,plain,
% 16.83/11.99 ((~v39(constB64)) | (~v9(constB64))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26585, 26584])).
% 16.83/11.99 tff(26587,plain,
% 16.83/11.99 ((~(v141(constB64) <=> (~((~v39(constB64)) | (~v9(constB64)))))) | (~v141(constB64)) | (~((~v39(constB64)) | (~v9(constB64))))),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26588,plain,
% 16.83/11.99 ((~(v141(constB64) <=> (~((~v39(constB64)) | (~v9(constB64)))))) | (~v141(constB64))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26587, 26586])).
% 16.83/11.99 tff(26589,plain,
% 16.83/11.99 (~v141(constB64)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26588, 26579])).
% 16.83/11.99 tff(26590,plain,
% 16.83/11.99 (((~v141(constB64)) | (~v143(constB64))) | v141(constB64)),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26591,plain,
% 16.83/11.99 ((~v141(constB64)) | (~v143(constB64))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26590, 26589])).
% 16.83/11.99 tff(26592,plain,
% 16.83/11.99 ((~(v155(constB64) <=> (~((~v141(constB64)) | (~v143(constB64)))))) | (~v155(constB64)) | (~((~v141(constB64)) | (~v143(constB64))))),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26593,plain,
% 16.83/11.99 ((~(v155(constB64) <=> (~((~v141(constB64)) | (~v143(constB64)))))) | (~v155(constB64))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26592, 26591])).
% 16.83/11.99 tff(26594,plain,
% 16.83/11.99 (~v155(constB64)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26593, 26577])).
% 16.83/11.99 tff(26595,plain,
% 16.83/11.99 (((~v132(constB64)) | (~v155(constB64))) | v155(constB64)),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26596,plain,
% 16.83/11.99 ((~v132(constB64)) | (~v155(constB64))),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26595, 26594])).
% 16.83/11.99 tff(26597,plain,
% 16.83/11.99 ((~(v154(constB64) <=> (~((~v132(constB64)) | (~v155(constB64)))))) | (~v154(constB64)) | (~((~v132(constB64)) | (~v155(constB64))))),
% 16.83/11.99 inference(tautology,[status(thm)],[])).
% 16.83/11.99 tff(26598,plain,
% 16.83/11.99 (~v154(constB64)),
% 16.83/11.99 inference(unit_resolution,[status(thm)],[26597, 26596, 26570])).
% 16.83/11.99 tff(26599,plain,
% 16.83/11.99 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB64) <=> (~((~v130(constB64)) | (~v139(constB64)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB64) <=> (~((~v130(constB64)) | (~v139(constB64))))))),
% 16.83/11.99 inference(rewrite,[status(thm)],[])).
% 16.83/11.99 tff(26600,plain,
% 16.83/11.99 ((v153(constB64) <=> (~((~v139(constB64)) | (~v130(constB64))))) <=> (v153(constB64) <=> (~((~v130(constB64)) | (~v139(constB64)))))),
% 16.83/11.99 inference(rewrite,[status(thm)],[])).
% 16.83/11.99 tff(26601,plain,
% 16.83/11.99 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB64) <=> (~((~v139(constB64)) | (~v130(constB64)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB64) <=> (~((~v130(constB64)) | (~v139(constB64))))))),
% 16.83/12.00 inference(monotonicity,[status(thm)],[26600])).
% 16.83/12.00 tff(26602,plain,
% 16.83/12.00 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB64) <=> (~((~v139(constB64)) | (~v130(constB64)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB64) <=> (~((~v130(constB64)) | (~v139(constB64))))))),
% 16.83/12.00 inference(transitivity,[status(thm)],[26601, 26599])).
% 16.83/12.00 tff(26603,plain,
% 16.83/12.00 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB64) <=> (~((~v139(constB64)) | (~v130(constB64)))))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26604,plain,
% 16.83/12.00 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB64) <=> (~((~v130(constB64)) | (~v139(constB64)))))),
% 16.83/12.00 inference(modus_ponens,[status(thm)],[26603, 26602])).
% 16.83/12.00 tff(26605,plain,
% 16.83/12.00 (v153(constB64) <=> (~((~v130(constB64)) | (~v139(constB64))))),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26604, 447])).
% 16.83/12.00 tff(26606,plain,
% 16.83/12.00 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB64) <=> v152(constB64))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26607,plain,
% 16.83/12.00 (v130(constB64) <=> v152(constB64)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26606, 361])).
% 16.83/12.00 tff(26608,plain,
% 16.83/12.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB63, constB64)) | (v152(constB64) <=> v150(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB63, constB64)) | (v152(constB64) <=> v150(constB63)))),
% 16.83/12.00 inference(rewrite,[status(thm)],[])).
% 16.83/12.00 tff(26609,plain,
% 16.83/12.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB63, constB64)) | (v152(constB64) <=> v150(constB63)))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26610,plain,
% 16.83/12.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB63, constB64)) | (v152(constB64) <=> v150(constB63))),
% 16.83/12.00 inference(modus_ponens,[status(thm)],[26609, 26608])).
% 16.83/12.00 tff(26611,plain,
% 16.83/12.00 (v152(constB64) <=> v150(constB63)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26610, 7490, 373])).
% 16.83/12.00 tff(26612,plain,
% 16.83/12.00 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB63) <=> (v153(constB63) | v154(constB63)))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26613,plain,
% 16.83/12.00 (v150(constB63) <=> (v153(constB63) | v154(constB63))),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26612, 387])).
% 16.83/12.00 tff(26614,plain,
% 16.83/12.00 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB63) <=> (~((~v130(constB63)) | (~v139(constB63)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB63) <=> (~((~v130(constB63)) | (~v139(constB63))))))),
% 16.83/12.00 inference(rewrite,[status(thm)],[])).
% 16.83/12.00 tff(26615,plain,
% 16.83/12.00 ((v153(constB63) <=> (~((~v139(constB63)) | (~v130(constB63))))) <=> (v153(constB63) <=> (~((~v130(constB63)) | (~v139(constB63)))))),
% 16.83/12.00 inference(rewrite,[status(thm)],[])).
% 16.83/12.00 tff(26616,plain,
% 16.83/12.00 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB63) <=> (~((~v139(constB63)) | (~v130(constB63)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB63) <=> (~((~v130(constB63)) | (~v139(constB63))))))),
% 16.83/12.00 inference(monotonicity,[status(thm)],[26615])).
% 16.83/12.00 tff(26617,plain,
% 16.83/12.00 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB63) <=> (~((~v139(constB63)) | (~v130(constB63)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB63) <=> (~((~v130(constB63)) | (~v139(constB63))))))),
% 16.83/12.00 inference(transitivity,[status(thm)],[26616, 26614])).
% 16.83/12.00 tff(26618,plain,
% 16.83/12.00 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB63) <=> (~((~v139(constB63)) | (~v130(constB63)))))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26619,plain,
% 16.83/12.00 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB63) <=> (~((~v130(constB63)) | (~v139(constB63)))))),
% 16.83/12.00 inference(modus_ponens,[status(thm)],[26618, 26617])).
% 16.83/12.00 tff(26620,plain,
% 16.83/12.00 (v153(constB63) <=> (~((~v130(constB63)) | (~v139(constB63))))),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26619, 447])).
% 16.83/12.00 tff(26621,plain,
% 16.83/12.00 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB63)) <=> v140(constB63))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26622,plain,
% 16.83/12.00 ((~v139(constB63)) <=> v140(constB63)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26621, 203])).
% 16.83/12.00 tff(26623,plain,
% 16.83/12.00 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB63) <=> (v141(constB63) | v26(constB63)))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26624,plain,
% 16.83/12.00 (v140(constB63) <=> (v141(constB63) | v26(constB63))),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26623, 212])).
% 16.83/12.00 tff(26625,plain,
% 16.83/12.00 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB63) <=> (~((~v39(constB63)) | (~v9(constB63)))))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26626,plain,
% 16.83/12.00 (v141(constB63) <=> (~((~v39(constB63)) | (~v9(constB63))))),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26625, 130])).
% 16.83/12.00 tff(26627,plain,
% 16.83/12.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB63, constB64)) | (v13(constB64) <=> v9(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB63, constB64)) | (v13(constB64) <=> v9(constB63)))),
% 16.83/12.00 inference(rewrite,[status(thm)],[])).
% 16.83/12.00 tff(26628,plain,
% 16.83/12.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB63, constB64)) | (v13(constB64) <=> v9(constB63)))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26629,plain,
% 16.83/12.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB63, constB64)) | (v13(constB64) <=> v9(constB63))),
% 16.83/12.00 inference(modus_ponens,[status(thm)],[26628, 26627])).
% 16.83/12.00 tff(26630,plain,
% 16.83/12.00 (v13(constB64) <=> v9(constB63)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26629, 7490, 226])).
% 16.83/12.00 tff(26631,plain,
% 16.83/12.00 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB64) <=> v13(constB64))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26632,plain,
% 16.83/12.00 (v6(constB64) <=> v13(constB64)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26631, 240])).
% 16.83/12.00 tff(26633,plain,
% 16.83/12.00 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB64)) <=> v6(constB64))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26634,plain,
% 16.83/12.00 ((~v21(constB64)) <=> v6(constB64)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26633, 249])).
% 16.83/12.00 tff(26635,plain,
% 16.83/12.00 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB64) <=> (v20(constB64) | v21(constB64)))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26636,plain,
% 16.83/12.00 (v19(constB64) <=> (v20(constB64) | v21(constB64))),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26635, 258])).
% 16.83/12.00 tff(26637,plain,
% 16.83/12.00 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB64) <=> (~((~v19(constB64)) | (~v22(constB64)))))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26638,plain,
% 16.83/12.00 (v18(constB64) <=> (~((~v19(constB64)) | (~v22(constB64))))),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26637, 270])).
% 16.83/12.00 tff(26639,plain,
% 16.83/12.00 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB64)) <=> v18(constB64))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26640,plain,
% 16.83/12.00 ((~v4(constB64)) <=> v18(constB64)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26639, 279])).
% 16.83/12.00 tff(26641,plain,
% 16.83/12.00 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB64)),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26642,plain,
% 16.83/12.00 (v4(constB64)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26641, 288])).
% 16.83/12.00 tff(26643,plain,
% 16.83/12.00 ((~((~v4(constB64)) <=> v18(constB64))) | (~v4(constB64)) | (~v18(constB64))),
% 16.83/12.00 inference(tautology,[status(thm)],[])).
% 16.83/12.00 tff(26644,plain,
% 16.83/12.00 (~v18(constB64)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26643, 26642, 26640])).
% 16.83/12.00 tff(26645,plain,
% 16.83/12.00 ((~(v18(constB64) <=> (~((~v19(constB64)) | (~v22(constB64)))))) | v18(constB64) | ((~v19(constB64)) | (~v22(constB64)))),
% 16.83/12.00 inference(tautology,[status(thm)],[])).
% 16.83/12.00 tff(26646,plain,
% 16.83/12.00 ((~v19(constB64)) | (~v22(constB64))),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26645, 26644, 26638])).
% 16.83/12.00 tff(26647,plain,
% 16.83/12.00 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB64) <=> (v1(constB64) | v6(constB64)))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26648,plain,
% 16.83/12.00 (v22(constB64) <=> (v1(constB64) | v6(constB64))),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26647, 301])).
% 16.83/12.00 tff(26649,plain,
% 16.83/12.00 ((v1(constB64) | v6(constB64)) | (~v1(constB64))),
% 16.83/12.00 inference(tautology,[status(thm)],[])).
% 16.83/12.00 tff(26650,plain,
% 16.83/12.00 (v1(constB64) | v6(constB64)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26649, 9781])).
% 16.83/12.00 tff(26651,plain,
% 16.83/12.00 ((~(v22(constB64) <=> (v1(constB64) | v6(constB64)))) | v22(constB64) | (~(v1(constB64) | v6(constB64)))),
% 16.83/12.00 inference(tautology,[status(thm)],[])).
% 16.83/12.00 tff(26652,plain,
% 16.83/12.00 ((~(v22(constB64) <=> (v1(constB64) | v6(constB64)))) | v22(constB64)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26651, 26650])).
% 16.83/12.00 tff(26653,plain,
% 16.83/12.00 (v22(constB64)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26652, 26648])).
% 16.83/12.00 tff(26654,plain,
% 16.83/12.00 ((~((~v19(constB64)) | (~v22(constB64)))) | (~v19(constB64)) | (~v22(constB64))),
% 16.83/12.00 inference(tautology,[status(thm)],[])).
% 16.83/12.00 tff(26655,plain,
% 16.83/12.00 ((~((~v19(constB64)) | (~v22(constB64)))) | (~v19(constB64))),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26654, 26653])).
% 16.83/12.00 tff(26656,plain,
% 16.83/12.00 (~v19(constB64)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26655, 26646])).
% 16.83/12.00 tff(26657,plain,
% 16.83/12.00 ((~(v19(constB64) <=> (v20(constB64) | v21(constB64)))) | v19(constB64) | (~(v20(constB64) | v21(constB64)))),
% 16.83/12.00 inference(tautology,[status(thm)],[])).
% 16.83/12.00 tff(26658,plain,
% 16.83/12.00 (~(v20(constB64) | v21(constB64))),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26657, 26656, 26636])).
% 16.83/12.00 tff(26659,plain,
% 16.83/12.00 ((v20(constB64) | v21(constB64)) | (~v21(constB64))),
% 16.83/12.00 inference(tautology,[status(thm)],[])).
% 16.83/12.00 tff(26660,plain,
% 16.83/12.00 (~v21(constB64)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26659, 26658])).
% 16.83/12.00 tff(26661,plain,
% 16.83/12.00 ((~((~v21(constB64)) <=> v6(constB64))) | v21(constB64) | v6(constB64)),
% 16.83/12.00 inference(tautology,[status(thm)],[])).
% 16.83/12.00 tff(26662,plain,
% 16.83/12.00 (v6(constB64)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26661, 26660, 26634])).
% 16.83/12.00 tff(26663,plain,
% 16.83/12.00 ((~(v6(constB64) <=> v13(constB64))) | (~v6(constB64)) | v13(constB64)),
% 16.83/12.00 inference(tautology,[status(thm)],[])).
% 16.83/12.00 tff(26664,plain,
% 16.83/12.00 (v13(constB64)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26663, 26662, 26632])).
% 16.83/12.00 tff(26665,plain,
% 16.83/12.00 ((~(v13(constB64) <=> v9(constB63))) | (~v13(constB64)) | v9(constB63)),
% 16.83/12.00 inference(tautology,[status(thm)],[])).
% 16.83/12.00 tff(26666,plain,
% 16.83/12.00 (v9(constB63)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26665, 26664, 26630])).
% 16.83/12.00 tff(26667,plain,
% 16.83/12.00 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB63)) <=> v1(constB63))),
% 16.83/12.00 inference(quant_inst,[status(thm)],[])).
% 16.83/12.00 tff(26668,plain,
% 16.83/12.00 ((~v39(constB63)) <=> v1(constB63)),
% 16.83/12.00 inference(unit_resolution,[status(thm)],[26667, 139])).
% 16.83/12.00 tff(26669,plain,
% 16.87/12.00 ((~((~v39(constB63)) <=> v1(constB63))) | v39(constB63) | v1(constB63)),
% 16.87/12.00 inference(tautology,[status(thm)],[])).
% 16.87/12.00 tff(26670,plain,
% 16.87/12.00 ((~((~v39(constB63)) <=> v1(constB63))) | v39(constB63)),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26669, 7534])).
% 16.87/12.00 tff(26671,plain,
% 16.87/12.00 (v39(constB63)),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26670, 26668])).
% 16.87/12.00 tff(26672,plain,
% 16.87/12.00 ((~((~v39(constB63)) | (~v9(constB63)))) | (~v39(constB63)) | (~v9(constB63))),
% 16.87/12.00 inference(tautology,[status(thm)],[])).
% 16.87/12.00 tff(26673,plain,
% 16.87/12.00 ((~((~v39(constB63)) | (~v9(constB63)))) | (~v9(constB63))),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26672, 26671])).
% 16.87/12.00 tff(26674,plain,
% 16.87/12.00 (~((~v39(constB63)) | (~v9(constB63)))),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26673, 26666])).
% 16.87/12.00 tff(26675,plain,
% 16.87/12.00 ((~(v141(constB63) <=> (~((~v39(constB63)) | (~v9(constB63)))))) | v141(constB63) | ((~v39(constB63)) | (~v9(constB63)))),
% 16.87/12.00 inference(tautology,[status(thm)],[])).
% 16.87/12.00 tff(26676,plain,
% 16.87/12.00 (v141(constB63)),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26675, 26674, 26626])).
% 16.87/12.00 tff(26677,plain,
% 16.87/12.00 ((v141(constB63) | v26(constB63)) | (~v141(constB63))),
% 16.87/12.00 inference(tautology,[status(thm)],[])).
% 16.87/12.00 tff(26678,plain,
% 16.87/12.00 (v141(constB63) | v26(constB63)),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26677, 26676])).
% 16.87/12.00 tff(26679,plain,
% 16.87/12.00 ((~(v140(constB63) <=> (v141(constB63) | v26(constB63)))) | v140(constB63) | (~(v141(constB63) | v26(constB63)))),
% 16.87/12.00 inference(tautology,[status(thm)],[])).
% 16.87/12.00 tff(26680,plain,
% 16.87/12.00 (v140(constB63)),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26679, 26678, 26624])).
% 16.87/12.00 tff(26681,plain,
% 16.87/12.00 ((~((~v139(constB63)) <=> v140(constB63))) | (~v139(constB63)) | (~v140(constB63))),
% 16.87/12.00 inference(tautology,[status(thm)],[])).
% 16.87/12.00 tff(26682,plain,
% 16.87/12.00 (~v139(constB63)),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26681, 26680, 26622])).
% 16.87/12.00 tff(26683,plain,
% 16.87/12.00 (((~v130(constB63)) | (~v139(constB63))) | v139(constB63)),
% 16.87/12.00 inference(tautology,[status(thm)],[])).
% 16.87/12.00 tff(26684,plain,
% 16.87/12.00 ((~v130(constB63)) | (~v139(constB63))),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26683, 26682])).
% 16.87/12.00 tff(26685,plain,
% 16.87/12.00 ((~(v153(constB63) <=> (~((~v130(constB63)) | (~v139(constB63)))))) | (~v153(constB63)) | (~((~v130(constB63)) | (~v139(constB63))))),
% 16.87/12.00 inference(tautology,[status(thm)],[])).
% 16.87/12.00 tff(26686,plain,
% 16.87/12.00 (~v153(constB63)),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26685, 26684, 26620])).
% 16.87/12.00 tff(26687,plain,
% 16.87/12.00 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB63) <=> (~((~v132(constB63)) | (~v155(constB63)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB63) <=> (~((~v132(constB63)) | (~v155(constB63))))))),
% 16.87/12.00 inference(rewrite,[status(thm)],[])).
% 16.87/12.00 tff(26688,plain,
% 16.87/12.00 ((v154(constB63) <=> (~((~v155(constB63)) | (~v132(constB63))))) <=> (v154(constB63) <=> (~((~v132(constB63)) | (~v155(constB63)))))),
% 16.87/12.00 inference(rewrite,[status(thm)],[])).
% 16.87/12.00 tff(26689,plain,
% 16.87/12.00 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB63) <=> (~((~v155(constB63)) | (~v132(constB63)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB63) <=> (~((~v132(constB63)) | (~v155(constB63))))))),
% 16.87/12.00 inference(monotonicity,[status(thm)],[26688])).
% 16.87/12.00 tff(26690,plain,
% 16.87/12.00 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB63) <=> (~((~v155(constB63)) | (~v132(constB63)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB63) <=> (~((~v132(constB63)) | (~v155(constB63))))))),
% 16.87/12.00 inference(transitivity,[status(thm)],[26689, 26687])).
% 16.87/12.00 tff(26691,plain,
% 16.87/12.00 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB63) <=> (~((~v155(constB63)) | (~v132(constB63)))))),
% 16.87/12.00 inference(quant_inst,[status(thm)],[])).
% 16.87/12.00 tff(26692,plain,
% 16.87/12.00 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB63) <=> (~((~v132(constB63)) | (~v155(constB63)))))),
% 16.87/12.00 inference(modus_ponens,[status(thm)],[26691, 26690])).
% 16.87/12.00 tff(26693,plain,
% 16.87/12.00 (v154(constB63) <=> (~((~v132(constB63)) | (~v155(constB63))))),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26692, 399])).
% 16.87/12.00 tff(26694,plain,
% 16.87/12.00 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB63) <=> v137(constB63))),
% 16.87/12.00 inference(quant_inst,[status(thm)],[])).
% 16.87/12.00 tff(26695,plain,
% 16.87/12.00 (v132(constB63) <=> v137(constB63)),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26694, 558])).
% 16.87/12.00 tff(26696,plain,
% 16.87/12.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB62, constB63)) | (v137(constB63) <=> v135(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB62, constB63)) | (v137(constB63) <=> v135(constB62)))),
% 16.87/12.00 inference(rewrite,[status(thm)],[])).
% 16.87/12.00 tff(26697,plain,
% 16.87/12.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB62, constB63)) | (v137(constB63) <=> v135(constB62)))),
% 16.87/12.00 inference(quant_inst,[status(thm)],[])).
% 16.87/12.00 tff(26698,plain,
% 16.87/12.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB62, constB63)) | (v137(constB63) <=> v135(constB62))),
% 16.87/12.00 inference(modus_ponens,[status(thm)],[26697, 26696])).
% 16.87/12.00 tff(26699,plain,
% 16.87/12.00 (v137(constB63) <=> v135(constB62)),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26698, 7520, 570])).
% 16.87/12.00 tff(26700,plain,
% 16.87/12.00 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB62) <=> (v138(constB62) | v142(constB62)))),
% 16.87/12.00 inference(quant_inst,[status(thm)],[])).
% 16.87/12.00 tff(26701,plain,
% 16.87/12.00 (v135(constB62) <=> (v138(constB62) | v142(constB62))),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26700, 584])).
% 16.87/12.00 tff(26702,plain,
% 16.87/12.00 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB62) <=> (~((~v143(constB62)) | (~v144(constB62)))))),
% 16.87/12.00 inference(quant_inst,[status(thm)],[])).
% 16.87/12.00 tff(26703,plain,
% 16.87/12.00 (v142(constB62) <=> (~((~v143(constB62)) | (~v144(constB62))))),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26702, 596])).
% 16.87/12.00 tff(26704,plain,
% 16.87/12.00 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB62) <=> (~((~v141(constB62)) | (~v145(constB62)))))),
% 16.87/12.00 inference(quant_inst,[status(thm)],[])).
% 16.87/12.00 tff(26705,plain,
% 16.87/12.00 (v144(constB62) <=> (~((~v141(constB62)) | (~v145(constB62))))),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26704, 608])).
% 16.87/12.00 tff(26706,plain,
% 16.87/12.00 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))),
% 16.87/12.00 inference(quant_inst,[status(thm)],[])).
% 16.87/12.00 tff(26707,plain,
% 16.87/12.00 (v141(constB62) <=> (~((~v39(constB62)) | (~v9(constB62))))),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26706, 130])).
% 16.87/12.00 tff(26708,plain,
% 16.87/12.00 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB62)) <=> v1(constB62))),
% 16.87/12.00 inference(quant_inst,[status(thm)],[])).
% 16.87/12.00 tff(26709,plain,
% 16.87/12.00 ((~v39(constB62)) <=> v1(constB62)),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26708, 139])).
% 16.87/12.00 tff(26710,plain,
% 16.87/12.00 ((~((~v39(constB62)) <=> v1(constB62))) | (~v39(constB62)) | (~v1(constB62))),
% 16.87/12.00 inference(tautology,[status(thm)],[])).
% 16.87/12.00 tff(26711,plain,
% 16.87/12.00 ((~((~v39(constB62)) <=> v1(constB62))) | (~v39(constB62))),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26710, 9632])).
% 16.87/12.00 tff(26712,plain,
% 16.87/12.00 (~v39(constB62)),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26711, 26709])).
% 16.87/12.00 tff(26713,plain,
% 16.87/12.00 (((~v39(constB62)) | (~v9(constB62))) | v39(constB62)),
% 16.87/12.00 inference(tautology,[status(thm)],[])).
% 16.87/12.00 tff(26714,plain,
% 16.87/12.00 ((~v39(constB62)) | (~v9(constB62))),
% 16.87/12.00 inference(unit_resolution,[status(thm)],[26713, 26712])).
% 16.87/12.00 tff(26715,plain,
% 16.87/12.00 ((~(v141(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))) | (~v141(constB62)) | (~((~v39(constB62)) | (~v9(constB62))))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26716,plain,
% 16.87/12.01 ((~(v141(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))) | (~v141(constB62))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26715, 26714])).
% 16.87/12.01 tff(26717,plain,
% 16.87/12.01 (~v141(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26716, 26707])).
% 16.87/12.01 tff(26718,plain,
% 16.87/12.01 (((~v141(constB62)) | (~v145(constB62))) | v141(constB62)),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26719,plain,
% 16.87/12.01 ((~v141(constB62)) | (~v145(constB62))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26718, 26717])).
% 16.87/12.01 tff(26720,plain,
% 16.87/12.01 ((~(v144(constB62) <=> (~((~v141(constB62)) | (~v145(constB62)))))) | (~v144(constB62)) | (~((~v141(constB62)) | (~v145(constB62))))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26721,plain,
% 16.87/12.01 ((~(v144(constB62) <=> (~((~v141(constB62)) | (~v145(constB62)))))) | (~v144(constB62))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26720, 26719])).
% 16.87/12.01 tff(26722,plain,
% 16.87/12.01 (~v144(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26721, 26705])).
% 16.87/12.01 tff(26723,plain,
% 16.87/12.01 (((~v143(constB62)) | (~v144(constB62))) | v144(constB62)),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26724,plain,
% 16.87/12.01 ((~v143(constB62)) | (~v144(constB62))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26723, 26722])).
% 16.87/12.01 tff(26725,plain,
% 16.87/12.01 ((~(v142(constB62) <=> (~((~v143(constB62)) | (~v144(constB62)))))) | (~v142(constB62)) | (~((~v143(constB62)) | (~v144(constB62))))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26726,plain,
% 16.87/12.01 (~v142(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26725, 26724, 26703])).
% 16.87/12.01 tff(26727,plain,
% 16.87/12.01 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62))))))),
% 16.87/12.01 inference(rewrite,[status(thm)],[])).
% 16.87/12.01 tff(26728,plain,
% 16.87/12.01 ((v138(constB62) <=> (~((~v139(constB62)) | (~v132(constB62))))) <=> (v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62)))))),
% 16.87/12.01 inference(rewrite,[status(thm)],[])).
% 16.87/12.01 tff(26729,plain,
% 16.87/12.01 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v139(constB62)) | (~v132(constB62)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62))))))),
% 16.87/12.01 inference(monotonicity,[status(thm)],[26728])).
% 16.87/12.01 tff(26730,plain,
% 16.87/12.01 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v139(constB62)) | (~v132(constB62)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62))))))),
% 16.87/12.01 inference(transitivity,[status(thm)],[26729, 26727])).
% 16.87/12.01 tff(26731,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v139(constB62)) | (~v132(constB62)))))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26732,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62)))))),
% 16.87/12.01 inference(modus_ponens,[status(thm)],[26731, 26730])).
% 16.87/12.01 tff(26733,plain,
% 16.87/12.01 (v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62))))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26732, 644])).
% 16.87/12.01 tff(26734,plain,
% 16.87/12.01 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB62) <=> v137(constB62))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26735,plain,
% 16.87/12.01 (v132(constB62) <=> v137(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26734, 558])).
% 16.87/12.01 tff(26736,plain,
% 16.87/12.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB61, constB62)) | (v137(constB62) <=> v135(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB61, constB62)) | (v137(constB62) <=> v135(constB61)))),
% 16.87/12.01 inference(rewrite,[status(thm)],[])).
% 16.87/12.01 tff(26737,plain,
% 16.87/12.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB61, constB62)) | (v137(constB62) <=> v135(constB61)))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26738,plain,
% 16.87/12.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB61, constB62)) | (v137(constB62) <=> v135(constB61))),
% 16.87/12.01 inference(modus_ponens,[status(thm)],[26737, 26736])).
% 16.87/12.01 tff(26739,plain,
% 16.87/12.01 (v137(constB62) <=> v135(constB61)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26738, 7556, 570])).
% 16.87/12.01 tff(26740,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB61) <=> (v138(constB61) | v142(constB61)))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26741,plain,
% 16.87/12.01 (v135(constB61) <=> (v138(constB61) | v142(constB61))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26740, 584])).
% 16.87/12.01 tff(26742,plain,
% 16.87/12.01 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61))))))),
% 16.87/12.01 inference(rewrite,[status(thm)],[])).
% 16.87/12.01 tff(26743,plain,
% 16.87/12.01 ((v138(constB61) <=> (~((~v139(constB61)) | (~v132(constB61))))) <=> (v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61)))))),
% 16.87/12.01 inference(rewrite,[status(thm)],[])).
% 16.87/12.01 tff(26744,plain,
% 16.87/12.01 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v139(constB61)) | (~v132(constB61)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61))))))),
% 16.87/12.01 inference(monotonicity,[status(thm)],[26743])).
% 16.87/12.01 tff(26745,plain,
% 16.87/12.01 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v139(constB61)) | (~v132(constB61)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61))))))),
% 16.87/12.01 inference(transitivity,[status(thm)],[26744, 26742])).
% 16.87/12.01 tff(26746,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v139(constB61)) | (~v132(constB61)))))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26747,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61)))))),
% 16.87/12.01 inference(modus_ponens,[status(thm)],[26746, 26745])).
% 16.87/12.01 tff(26748,plain,
% 16.87/12.01 (v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61))))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26747, 644])).
% 16.87/12.01 tff(26749,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB61)) <=> v140(constB61))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26750,plain,
% 16.87/12.01 ((~v139(constB61)) <=> v140(constB61)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26749, 203])).
% 16.87/12.01 tff(26751,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB61) <=> (v141(constB61) | v26(constB61)))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26752,plain,
% 16.87/12.01 (v140(constB61) <=> (v141(constB61) | v26(constB61))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26751, 212])).
% 16.87/12.01 tff(26753,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB61) <=> (~((~v39(constB61)) | (~v9(constB61)))))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26754,plain,
% 16.87/12.01 (v141(constB61) <=> (~((~v39(constB61)) | (~v9(constB61))))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26753, 130])).
% 16.87/12.01 tff(26755,plain,
% 16.87/12.01 (((~![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)))),
% 16.87/12.01 inference(rewrite,[status(thm)],[])).
% 16.87/12.01 tff(26756,plain,
% 16.87/12.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61)))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26757,plain,
% 16.87/12.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61))),
% 16.87/12.01 inference(modus_ponens,[status(thm)],[26756, 26755])).
% 16.87/12.01 tff(26758,plain,
% 16.87/12.01 (v13(constB62) <=> v9(constB61)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26757, 7556, 226])).
% 16.87/12.01 tff(26759,plain,
% 16.87/12.01 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB62) <=> v13(constB62))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26760,plain,
% 16.87/12.01 (v6(constB62) <=> v13(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26759, 240])).
% 16.87/12.01 tff(26761,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB62)) <=> v6(constB62))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26762,plain,
% 16.87/12.01 ((~v21(constB62)) <=> v6(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26761, 249])).
% 16.87/12.01 tff(26763,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB62) <=> (v20(constB62) | v21(constB62)))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26764,plain,
% 16.87/12.01 (v19(constB62) <=> (v20(constB62) | v21(constB62))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26763, 258])).
% 16.87/12.01 tff(26765,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62)))))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26766,plain,
% 16.87/12.01 (v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62))))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26765, 270])).
% 16.87/12.01 tff(26767,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB62)) <=> v18(constB62))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26768,plain,
% 16.87/12.01 ((~v4(constB62)) <=> v18(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26767, 279])).
% 16.87/12.01 tff(26769,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB62)),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26770,plain,
% 16.87/12.01 (v4(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26769, 288])).
% 16.87/12.01 tff(26771,plain,
% 16.87/12.01 ((~((~v4(constB62)) <=> v18(constB62))) | (~v4(constB62)) | (~v18(constB62))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26772,plain,
% 16.87/12.01 (~v18(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26771, 26770, 26768])).
% 16.87/12.01 tff(26773,plain,
% 16.87/12.01 ((~(v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62)))))) | v18(constB62) | ((~v19(constB62)) | (~v22(constB62)))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26774,plain,
% 16.87/12.01 ((~v19(constB62)) | (~v22(constB62))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26773, 26772, 26766])).
% 16.87/12.01 tff(26775,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB62) <=> (v1(constB62) | v6(constB62)))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26776,plain,
% 16.87/12.01 (v22(constB62) <=> (v1(constB62) | v6(constB62))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26775, 301])).
% 16.87/12.01 tff(26777,plain,
% 16.87/12.01 ((v1(constB62) | v6(constB62)) | (~v1(constB62))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26778,plain,
% 16.87/12.01 (v1(constB62) | v6(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26777, 9632])).
% 16.87/12.01 tff(26779,plain,
% 16.87/12.01 ((~(v22(constB62) <=> (v1(constB62) | v6(constB62)))) | v22(constB62) | (~(v1(constB62) | v6(constB62)))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26780,plain,
% 16.87/12.01 ((~(v22(constB62) <=> (v1(constB62) | v6(constB62)))) | v22(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26779, 26778])).
% 16.87/12.01 tff(26781,plain,
% 16.87/12.01 (v22(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26780, 26776])).
% 16.87/12.01 tff(26782,plain,
% 16.87/12.01 ((~((~v19(constB62)) | (~v22(constB62)))) | (~v19(constB62)) | (~v22(constB62))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26783,plain,
% 16.87/12.01 ((~((~v19(constB62)) | (~v22(constB62)))) | (~v19(constB62))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26782, 26781])).
% 16.87/12.01 tff(26784,plain,
% 16.87/12.01 (~v19(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26783, 26774])).
% 16.87/12.01 tff(26785,plain,
% 16.87/12.01 ((~(v19(constB62) <=> (v20(constB62) | v21(constB62)))) | v19(constB62) | (~(v20(constB62) | v21(constB62)))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26786,plain,
% 16.87/12.01 (~(v20(constB62) | v21(constB62))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26785, 26784, 26764])).
% 16.87/12.01 tff(26787,plain,
% 16.87/12.01 ((v20(constB62) | v21(constB62)) | (~v21(constB62))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26788,plain,
% 16.87/12.01 (~v21(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26787, 26786])).
% 16.87/12.01 tff(26789,plain,
% 16.87/12.01 ((~((~v21(constB62)) <=> v6(constB62))) | v21(constB62) | v6(constB62)),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26790,plain,
% 16.87/12.01 (v6(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26789, 26788, 26762])).
% 16.87/12.01 tff(26791,plain,
% 16.87/12.01 ((~(v6(constB62) <=> v13(constB62))) | (~v6(constB62)) | v13(constB62)),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26792,plain,
% 16.87/12.01 (v13(constB62)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26791, 26790, 26760])).
% 16.87/12.01 tff(26793,plain,
% 16.87/12.01 ((~(v13(constB62) <=> v9(constB61))) | (~v13(constB62)) | v9(constB61)),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26794,plain,
% 16.87/12.01 (v9(constB61)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26793, 26792, 26758])).
% 16.87/12.01 tff(26795,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB61)) <=> v1(constB61))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26796,plain,
% 16.87/12.01 ((~v39(constB61)) <=> v1(constB61)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26795, 139])).
% 16.87/12.01 tff(26797,plain,
% 16.87/12.01 ((~((~v39(constB61)) <=> v1(constB61))) | v39(constB61) | v1(constB61)),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26798,plain,
% 16.87/12.01 ((~((~v39(constB61)) <=> v1(constB61))) | v39(constB61)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26797, 7595])).
% 16.87/12.01 tff(26799,plain,
% 16.87/12.01 (v39(constB61)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26798, 26796])).
% 16.87/12.01 tff(26800,plain,
% 16.87/12.01 ((~((~v39(constB61)) | (~v9(constB61)))) | (~v39(constB61)) | (~v9(constB61))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26801,plain,
% 16.87/12.01 ((~((~v39(constB61)) | (~v9(constB61)))) | (~v9(constB61))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26800, 26799])).
% 16.87/12.01 tff(26802,plain,
% 16.87/12.01 (~((~v39(constB61)) | (~v9(constB61)))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26801, 26794])).
% 16.87/12.01 tff(26803,plain,
% 16.87/12.01 ((~(v141(constB61) <=> (~((~v39(constB61)) | (~v9(constB61)))))) | v141(constB61) | ((~v39(constB61)) | (~v9(constB61)))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26804,plain,
% 16.87/12.01 (v141(constB61)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26803, 26802, 26754])).
% 16.87/12.01 tff(26805,plain,
% 16.87/12.01 ((v141(constB61) | v26(constB61)) | (~v141(constB61))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26806,plain,
% 16.87/12.01 (v141(constB61) | v26(constB61)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26805, 26804])).
% 16.87/12.01 tff(26807,plain,
% 16.87/12.01 ((~(v140(constB61) <=> (v141(constB61) | v26(constB61)))) | v140(constB61) | (~(v141(constB61) | v26(constB61)))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26808,plain,
% 16.87/12.01 (v140(constB61)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26807, 26806, 26752])).
% 16.87/12.01 tff(26809,plain,
% 16.87/12.01 ((~((~v139(constB61)) <=> v140(constB61))) | (~v139(constB61)) | (~v140(constB61))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26810,plain,
% 16.87/12.01 (~v139(constB61)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26809, 26808, 26750])).
% 16.87/12.01 tff(26811,plain,
% 16.87/12.01 (((~v132(constB61)) | (~v139(constB61))) | v139(constB61)),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26812,plain,
% 16.87/12.01 ((~v132(constB61)) | (~v139(constB61))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26811, 26810])).
% 16.87/12.01 tff(26813,plain,
% 16.87/12.01 ((~(v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61)))))) | (~v138(constB61)) | (~((~v132(constB61)) | (~v139(constB61))))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26814,plain,
% 16.87/12.01 (~v138(constB61)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26813, 26812, 26748])).
% 16.87/12.01 tff(26815,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB61) <=> (~((~v143(constB61)) | (~v144(constB61)))))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26816,plain,
% 16.87/12.01 (v142(constB61) <=> (~((~v143(constB61)) | (~v144(constB61))))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26815, 596])).
% 16.87/12.01 tff(26817,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB61) <=> (~((~v141(constB61)) | (~v145(constB61)))))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26818,plain,
% 16.87/12.01 (v144(constB61) <=> (~((~v141(constB61)) | (~v145(constB61))))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26817, 608])).
% 16.87/12.01 tff(26819,plain,
% 16.87/12.01 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB61) <=> (~(v84(constB61, 1) | v84(constB61, 2) | (~v84(constB61, 0)))))),
% 16.87/12.01 inference(quant_inst,[status(thm)],[])).
% 16.87/12.01 tff(26820,plain,
% 16.87/12.01 (v145(constB61) <=> (~(v84(constB61, 1) | v84(constB61, 2) | (~v84(constB61, 0))))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26819, 755])).
% 16.87/12.01 tff(26821,plain,
% 16.87/12.01 ((v84(constB61, 1) | v84(constB61, 2) | (~v84(constB61, 0))) | (~v84(constB61, 1))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26822,plain,
% 16.87/12.01 (v84(constB61, 1) | v84(constB61, 2) | (~v84(constB61, 0))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26821, 9590])).
% 16.87/12.01 tff(26823,plain,
% 16.87/12.01 ((~(v145(constB61) <=> (~(v84(constB61, 1) | v84(constB61, 2) | (~v84(constB61, 0)))))) | (~v145(constB61)) | (~(v84(constB61, 1) | v84(constB61, 2) | (~v84(constB61, 0))))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26824,plain,
% 16.87/12.01 (~v145(constB61)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26823, 26822, 26820])).
% 16.87/12.01 tff(26825,plain,
% 16.87/12.01 (((~v141(constB61)) | (~v145(constB61))) | v145(constB61)),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26826,plain,
% 16.87/12.01 ((~v141(constB61)) | (~v145(constB61))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26825, 26824])).
% 16.87/12.01 tff(26827,plain,
% 16.87/12.01 ((~(v144(constB61) <=> (~((~v141(constB61)) | (~v145(constB61)))))) | (~v144(constB61)) | (~((~v141(constB61)) | (~v145(constB61))))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26828,plain,
% 16.87/12.01 (~v144(constB61)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26827, 26826, 26818])).
% 16.87/12.01 tff(26829,plain,
% 16.87/12.01 (((~v143(constB61)) | (~v144(constB61))) | v144(constB61)),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26830,plain,
% 16.87/12.01 ((~v143(constB61)) | (~v144(constB61))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26829, 26828])).
% 16.87/12.01 tff(26831,plain,
% 16.87/12.01 ((~(v142(constB61) <=> (~((~v143(constB61)) | (~v144(constB61)))))) | (~v142(constB61)) | (~((~v143(constB61)) | (~v144(constB61))))),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26832,plain,
% 16.87/12.01 (~v142(constB61)),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26831, 26830, 26816])).
% 16.87/12.01 tff(26833,plain,
% 16.87/12.01 ((~(v138(constB61) | v142(constB61))) | v138(constB61) | v142(constB61)),
% 16.87/12.01 inference(tautology,[status(thm)],[])).
% 16.87/12.01 tff(26834,plain,
% 16.87/12.01 (~(v138(constB61) | v142(constB61))),
% 16.87/12.01 inference(unit_resolution,[status(thm)],[26833, 26832, 26814])).
% 16.87/12.01 tff(26835,plain,
% 16.87/12.01 ((~(v135(constB61) <=> (v138(constB61) | v142(constB61)))) | (~v135(constB61)) | (v138(constB61) | v142(constB61))),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26836,plain,
% 16.87/12.02 (~v135(constB61)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26835, 26834, 26741])).
% 16.87/12.02 tff(26837,plain,
% 16.87/12.02 ((~(v137(constB62) <=> v135(constB61))) | (~v137(constB62)) | v135(constB61)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26838,plain,
% 16.87/12.02 (~v137(constB62)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26837, 26836, 26739])).
% 16.87/12.02 tff(26839,plain,
% 16.87/12.02 ((~(v132(constB62) <=> v137(constB62))) | (~v132(constB62)) | v137(constB62)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26840,plain,
% 16.87/12.02 (~v132(constB62)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26839, 26838, 26735])).
% 16.87/12.02 tff(26841,plain,
% 16.87/12.02 (((~v132(constB62)) | (~v139(constB62))) | v132(constB62)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26842,plain,
% 16.87/12.02 ((~v132(constB62)) | (~v139(constB62))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26841, 26840])).
% 16.87/12.02 tff(26843,plain,
% 16.87/12.02 ((~(v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62)))))) | (~v138(constB62)) | (~((~v132(constB62)) | (~v139(constB62))))),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26844,plain,
% 16.87/12.02 (~v138(constB62)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26843, 26842, 26733])).
% 16.87/12.02 tff(26845,plain,
% 16.87/12.02 ((~(v138(constB62) | v142(constB62))) | v138(constB62) | v142(constB62)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26846,plain,
% 16.87/12.02 (~(v138(constB62) | v142(constB62))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26845, 26844, 26726])).
% 16.87/12.02 tff(26847,plain,
% 16.87/12.02 ((~(v135(constB62) <=> (v138(constB62) | v142(constB62)))) | (~v135(constB62)) | (v138(constB62) | v142(constB62))),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26848,plain,
% 16.87/12.02 (~v135(constB62)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26847, 26846, 26701])).
% 16.87/12.02 tff(26849,plain,
% 16.87/12.02 ((~(v137(constB63) <=> v135(constB62))) | (~v137(constB63)) | v135(constB62)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26850,plain,
% 16.87/12.02 (~v137(constB63)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26849, 26848, 26699])).
% 16.87/12.02 tff(26851,plain,
% 16.87/12.02 ((~(v132(constB63) <=> v137(constB63))) | (~v132(constB63)) | v137(constB63)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26852,plain,
% 16.87/12.02 (~v132(constB63)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26851, 26850, 26695])).
% 16.87/12.02 tff(26853,plain,
% 16.87/12.02 (((~v132(constB63)) | (~v155(constB63))) | v132(constB63)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26854,plain,
% 16.87/12.02 ((~v132(constB63)) | (~v155(constB63))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26853, 26852])).
% 16.87/12.02 tff(26855,plain,
% 16.87/12.02 ((~(v154(constB63) <=> (~((~v132(constB63)) | (~v155(constB63)))))) | (~v154(constB63)) | (~((~v132(constB63)) | (~v155(constB63))))),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26856,plain,
% 16.87/12.02 (~v154(constB63)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26855, 26854, 26693])).
% 16.87/12.02 tff(26857,plain,
% 16.87/12.02 ((~(v153(constB63) | v154(constB63))) | v153(constB63) | v154(constB63)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26858,plain,
% 16.87/12.02 (~(v153(constB63) | v154(constB63))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26857, 26856, 26686])).
% 16.87/12.02 tff(26859,plain,
% 16.87/12.02 ((~(v150(constB63) <=> (v153(constB63) | v154(constB63)))) | (~v150(constB63)) | (v153(constB63) | v154(constB63))),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26860,plain,
% 16.87/12.02 (~v150(constB63)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26859, 26858, 26613])).
% 16.87/12.02 tff(26861,plain,
% 16.87/12.02 ((~(v152(constB64) <=> v150(constB63))) | (~v152(constB64)) | v150(constB63)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26862,plain,
% 16.87/12.02 (~v152(constB64)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26861, 26860, 26611])).
% 16.87/12.02 tff(26863,plain,
% 16.87/12.02 ((~(v130(constB64) <=> v152(constB64))) | (~v130(constB64)) | v152(constB64)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26864,plain,
% 16.87/12.02 (~v130(constB64)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26863, 26862, 26607])).
% 16.87/12.02 tff(26865,plain,
% 16.87/12.02 (((~v130(constB64)) | (~v139(constB64))) | v130(constB64)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26866,plain,
% 16.87/12.02 ((~v130(constB64)) | (~v139(constB64))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26865, 26864])).
% 16.87/12.02 tff(26867,plain,
% 16.87/12.02 ((~(v153(constB64) <=> (~((~v130(constB64)) | (~v139(constB64)))))) | (~v153(constB64)) | (~((~v130(constB64)) | (~v139(constB64))))),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26868,plain,
% 16.87/12.02 (~v153(constB64)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26867, 26866, 26605])).
% 16.87/12.02 tff(26869,plain,
% 16.87/12.02 ((~(v153(constB64) | v154(constB64))) | v153(constB64) | v154(constB64)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26870,plain,
% 16.87/12.02 (~(v153(constB64) | v154(constB64))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26869, 26868, 26598])).
% 16.87/12.02 tff(26871,plain,
% 16.87/12.02 ((~(v150(constB64) <=> (v153(constB64) | v154(constB64)))) | (~v150(constB64)) | (v153(constB64) | v154(constB64))),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26872,plain,
% 16.87/12.02 (~v150(constB64)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26871, 26870, 26563])).
% 16.87/12.02 tff(26873,plain,
% 16.87/12.02 ((~(v152(constB65) <=> v150(constB64))) | (~v152(constB65)) | v150(constB64)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26874,plain,
% 16.87/12.02 (~v152(constB65)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26873, 26872, 26561])).
% 16.87/12.02 tff(26875,plain,
% 16.87/12.02 ((~(v130(constB65) <=> v152(constB65))) | (~v130(constB65)) | v152(constB65)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26876,plain,
% 16.87/12.02 (~v130(constB65)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26875, 26874, 26557])).
% 16.87/12.02 tff(26877,plain,
% 16.87/12.02 (((~v130(constB65)) | (~v155(constB65))) | v130(constB65)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26878,plain,
% 16.87/12.02 ((~v130(constB65)) | (~v155(constB65))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26877, 26876])).
% 16.87/12.02 tff(26879,plain,
% 16.87/12.02 ((~(v164(constB65) <=> (~((~v130(constB65)) | (~v155(constB65)))))) | (~v164(constB65)) | (~((~v130(constB65)) | (~v155(constB65))))),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26880,plain,
% 16.87/12.02 (~v164(constB65)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26879, 26878, 26555])).
% 16.87/12.02 tff(26881,plain,
% 16.87/12.02 ((~(v163(constB65) | v164(constB65))) | v163(constB65) | v164(constB65)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26882,plain,
% 16.87/12.02 (~(v163(constB65) | v164(constB65))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26881, 26880, 26548])).
% 16.87/12.02 tff(26883,plain,
% 16.87/12.02 ((~(v160(constB65) <=> (v163(constB65) | v164(constB65)))) | (~v160(constB65)) | (v163(constB65) | v164(constB65))),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26884,plain,
% 16.87/12.02 (~v160(constB65)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26883, 26882, 26475])).
% 16.87/12.02 tff(26885,plain,
% 16.87/12.02 ((~(v162(constB66) <=> v160(constB65))) | (~v162(constB66)) | v160(constB65)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26886,plain,
% 16.87/12.02 (~v162(constB66)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26885, 26884, 26473])).
% 16.87/12.02 tff(26887,plain,
% 16.87/12.02 ((~(v128(constB66) <=> v162(constB66))) | (~v128(constB66)) | v162(constB66)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26888,plain,
% 16.87/12.02 (~v128(constB66)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26887, 26886, 26469])).
% 16.87/12.02 tff(26889,plain,
% 16.87/12.02 (((~v128(constB66)) | (~v139(constB66))) | v128(constB66)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26890,plain,
% 16.87/12.02 ((~v128(constB66)) | (~v139(constB66))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26889, 26888])).
% 16.87/12.02 tff(26891,plain,
% 16.87/12.02 ((~(v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66)))))) | (~v163(constB66)) | (~((~v128(constB66)) | (~v139(constB66))))),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26892,plain,
% 16.87/12.02 (~v163(constB66)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26891, 26890, 26467])).
% 16.87/12.02 tff(26893,plain,
% 16.87/12.02 ((~(v163(constB66) | v164(constB66))) | v163(constB66) | v164(constB66)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26894,plain,
% 16.87/12.02 (~(v163(constB66) | v164(constB66))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26893, 26892, 26460])).
% 16.87/12.02 tff(26895,plain,
% 16.87/12.02 ((~(v160(constB66) <=> (v163(constB66) | v164(constB66)))) | (~v160(constB66)) | (v163(constB66) | v164(constB66))),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26896,plain,
% 16.87/12.02 (~v160(constB66)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26895, 26894, 26425])).
% 16.87/12.02 tff(26897,plain,
% 16.87/12.02 ((~(v162(constB67) <=> v160(constB66))) | (~v162(constB67)) | v160(constB66)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26898,plain,
% 16.87/12.02 (~v162(constB67)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26897, 26896, 26423])).
% 16.87/12.02 tff(26899,plain,
% 16.87/12.02 ($false),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26898, 26419])).
% 16.87/12.02 tff(26900,plain,(~(constB67 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.87/12.02 tff(26901,assumption,(constB159 = VarCurr!0), introduced(assumption)).
% 16.87/12.02 tff(26902,plain,
% 16.87/12.02 (v162(constB159) <=> v162(VarCurr!0)),
% 16.87/12.02 inference(monotonicity,[status(thm)],[26901])).
% 16.87/12.02 tff(26903,plain,
% 16.87/12.02 (v162(VarCurr!0) <=> v162(constB159)),
% 16.87/12.02 inference(symmetry,[status(thm)],[26902])).
% 16.87/12.02 tff(26904,plain,
% 16.87/12.02 (v162(constB159)),
% 16.87/12.02 inference(modus_ponens,[status(thm)],[59, 26903])).
% 16.87/12.02 tff(26905,plain,
% 16.87/12.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB158, constB159)) | (v162(constB159) <=> v160(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB158, constB159)) | (v162(constB159) <=> v160(constB158)))),
% 16.87/12.02 inference(rewrite,[status(thm)],[])).
% 16.87/12.02 tff(26906,plain,
% 16.87/12.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB158, constB159)) | (v162(constB159) <=> v160(constB158)))),
% 16.87/12.02 inference(quant_inst,[status(thm)],[])).
% 16.87/12.02 tff(26907,plain,
% 16.87/12.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB158, constB159)) | (v162(constB159) <=> v160(constB158))),
% 16.87/12.02 inference(modus_ponens,[status(thm)],[26906, 26905])).
% 16.87/12.02 tff(26908,plain,
% 16.87/12.02 (v162(constB159) <=> v160(constB158)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26907, 14755, 70])).
% 16.87/12.02 tff(26909,plain,
% 16.87/12.02 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB158) <=> (v163(constB158) | v164(constB158)))),
% 16.87/12.02 inference(quant_inst,[status(thm)],[])).
% 16.87/12.02 tff(26910,plain,
% 16.87/12.02 (v160(constB158) <=> (v163(constB158) | v164(constB158))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26909, 84])).
% 16.87/12.02 tff(26911,plain,
% 16.87/12.02 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v130(constB158)) | (~v155(constB158)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v130(constB158)) | (~v155(constB158))))))),
% 16.87/12.02 inference(rewrite,[status(thm)],[])).
% 16.87/12.02 tff(26912,plain,
% 16.87/12.02 ((v164(constB158) <=> (~((~v155(constB158)) | (~v130(constB158))))) <=> (v164(constB158) <=> (~((~v130(constB158)) | (~v155(constB158)))))),
% 16.87/12.02 inference(rewrite,[status(thm)],[])).
% 16.87/12.02 tff(26913,plain,
% 16.87/12.02 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v155(constB158)) | (~v130(constB158)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v130(constB158)) | (~v155(constB158))))))),
% 16.87/12.02 inference(monotonicity,[status(thm)],[26912])).
% 16.87/12.02 tff(26914,plain,
% 16.87/12.02 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v155(constB158)) | (~v130(constB158)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v130(constB158)) | (~v155(constB158))))))),
% 16.87/12.02 inference(transitivity,[status(thm)],[26913, 26911])).
% 16.87/12.02 tff(26915,plain,
% 16.87/12.02 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v155(constB158)) | (~v130(constB158)))))),
% 16.87/12.02 inference(quant_inst,[status(thm)],[])).
% 16.87/12.02 tff(26916,plain,
% 16.87/12.02 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v130(constB158)) | (~v155(constB158)))))),
% 16.87/12.02 inference(modus_ponens,[status(thm)],[26915, 26914])).
% 16.87/12.02 tff(26917,plain,
% 16.87/12.02 (v164(constB158) <=> (~((~v130(constB158)) | (~v155(constB158))))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26916, 96])).
% 16.87/12.02 tff(26918,plain,
% 16.87/12.02 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB158) <=> (~((~v141(constB158)) | (~v143(constB158)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB158) <=> (~((~v141(constB158)) | (~v143(constB158))))))),
% 16.87/12.02 inference(rewrite,[status(thm)],[])).
% 16.87/12.02 tff(26919,plain,
% 16.87/12.02 ((v155(constB158) <=> (~((~v143(constB158)) | (~v141(constB158))))) <=> (v155(constB158) <=> (~((~v141(constB158)) | (~v143(constB158)))))),
% 16.87/12.02 inference(rewrite,[status(thm)],[])).
% 16.87/12.02 tff(26920,plain,
% 16.87/12.02 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB158) <=> (~((~v143(constB158)) | (~v141(constB158)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB158) <=> (~((~v141(constB158)) | (~v143(constB158))))))),
% 16.87/12.02 inference(monotonicity,[status(thm)],[26919])).
% 16.87/12.02 tff(26921,plain,
% 16.87/12.02 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB158) <=> (~((~v143(constB158)) | (~v141(constB158)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB158) <=> (~((~v141(constB158)) | (~v143(constB158))))))),
% 16.87/12.02 inference(transitivity,[status(thm)],[26920, 26918])).
% 16.87/12.02 tff(26922,plain,
% 16.87/12.02 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB158) <=> (~((~v143(constB158)) | (~v141(constB158)))))),
% 16.87/12.02 inference(quant_inst,[status(thm)],[])).
% 16.87/12.02 tff(26923,plain,
% 16.87/12.02 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB158) <=> (~((~v141(constB158)) | (~v143(constB158)))))),
% 16.87/12.02 inference(modus_ponens,[status(thm)],[26922, 26921])).
% 16.87/12.02 tff(26924,plain,
% 16.87/12.02 (v155(constB158) <=> (~((~v141(constB158)) | (~v143(constB158))))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26923, 113])).
% 16.87/12.02 tff(26925,plain,
% 16.87/12.02 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB158) <=> (~((~v39(constB158)) | (~v9(constB158)))))),
% 16.87/12.02 inference(quant_inst,[status(thm)],[])).
% 16.87/12.02 tff(26926,plain,
% 16.87/12.02 (v141(constB158) <=> (~((~v39(constB158)) | (~v9(constB158))))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26925, 130])).
% 16.87/12.02 tff(26927,plain,
% 16.87/12.02 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB158)) <=> v1(constB158))),
% 16.87/12.02 inference(quant_inst,[status(thm)],[])).
% 16.87/12.02 tff(26928,plain,
% 16.87/12.02 ((~v39(constB158)) <=> v1(constB158)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26927, 139])).
% 16.87/12.02 tff(26929,plain,
% 16.87/12.02 ((~((~v39(constB158)) <=> v1(constB158))) | (~v39(constB158)) | (~v1(constB158))),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26930,plain,
% 16.87/12.02 ((~((~v39(constB158)) <=> v1(constB158))) | (~v39(constB158))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26929, 21072])).
% 16.87/12.02 tff(26931,plain,
% 16.87/12.02 (~v39(constB158)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26930, 26928])).
% 16.87/12.02 tff(26932,plain,
% 16.87/12.02 (((~v39(constB158)) | (~v9(constB158))) | v39(constB158)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26933,plain,
% 16.87/12.02 ((~v39(constB158)) | (~v9(constB158))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26932, 26931])).
% 16.87/12.02 tff(26934,plain,
% 16.87/12.02 ((~(v141(constB158) <=> (~((~v39(constB158)) | (~v9(constB158)))))) | (~v141(constB158)) | (~((~v39(constB158)) | (~v9(constB158))))),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26935,plain,
% 16.87/12.02 ((~(v141(constB158) <=> (~((~v39(constB158)) | (~v9(constB158)))))) | (~v141(constB158))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26934, 26933])).
% 16.87/12.02 tff(26936,plain,
% 16.87/12.02 (~v141(constB158)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26935, 26926])).
% 16.87/12.02 tff(26937,plain,
% 16.87/12.02 (((~v141(constB158)) | (~v143(constB158))) | v141(constB158)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26938,plain,
% 16.87/12.02 ((~v141(constB158)) | (~v143(constB158))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26937, 26936])).
% 16.87/12.02 tff(26939,plain,
% 16.87/12.02 ((~(v155(constB158) <=> (~((~v141(constB158)) | (~v143(constB158)))))) | (~v155(constB158)) | (~((~v141(constB158)) | (~v143(constB158))))),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26940,plain,
% 16.87/12.02 ((~(v155(constB158) <=> (~((~v141(constB158)) | (~v143(constB158)))))) | (~v155(constB158))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26939, 26938])).
% 16.87/12.02 tff(26941,plain,
% 16.87/12.02 (~v155(constB158)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26940, 26924])).
% 16.87/12.02 tff(26942,plain,
% 16.87/12.02 (((~v130(constB158)) | (~v155(constB158))) | v155(constB158)),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26943,plain,
% 16.87/12.02 ((~v130(constB158)) | (~v155(constB158))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26942, 26941])).
% 16.87/12.02 tff(26944,plain,
% 16.87/12.02 ((~(v164(constB158) <=> (~((~v130(constB158)) | (~v155(constB158)))))) | (~v164(constB158)) | (~((~v130(constB158)) | (~v155(constB158))))),
% 16.87/12.02 inference(tautology,[status(thm)],[])).
% 16.87/12.02 tff(26945,plain,
% 16.87/12.02 (~v164(constB158)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26944, 26943, 26917])).
% 16.87/12.02 tff(26946,plain,
% 16.87/12.02 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158))))))),
% 16.87/12.02 inference(rewrite,[status(thm)],[])).
% 16.87/12.02 tff(26947,plain,
% 16.87/12.02 ((v163(constB158) <=> (~((~v139(constB158)) | (~v128(constB158))))) <=> (v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158)))))),
% 16.87/12.02 inference(rewrite,[status(thm)],[])).
% 16.87/12.02 tff(26948,plain,
% 16.87/12.02 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v139(constB158)) | (~v128(constB158)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158))))))),
% 16.87/12.02 inference(monotonicity,[status(thm)],[26947])).
% 16.87/12.02 tff(26949,plain,
% 16.87/12.02 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v139(constB158)) | (~v128(constB158)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158))))))),
% 16.87/12.02 inference(transitivity,[status(thm)],[26948, 26946])).
% 16.87/12.02 tff(26950,plain,
% 16.87/12.02 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v139(constB158)) | (~v128(constB158)))))),
% 16.87/12.02 inference(quant_inst,[status(thm)],[])).
% 16.87/12.02 tff(26951,plain,
% 16.87/12.02 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158)))))),
% 16.87/12.02 inference(modus_ponens,[status(thm)],[26950, 26949])).
% 16.87/12.02 tff(26952,plain,
% 16.87/12.02 (v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158))))),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26951, 171])).
% 16.87/12.02 tff(26953,plain,
% 16.87/12.02 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB158) <=> v162(constB158))),
% 16.87/12.02 inference(quant_inst,[status(thm)],[])).
% 16.87/12.02 tff(26954,plain,
% 16.87/12.02 (v128(constB158) <=> v162(constB158)),
% 16.87/12.02 inference(unit_resolution,[status(thm)],[26953, 13])).
% 16.87/12.02 tff(26955,plain,
% 16.87/12.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB157, constB158)) | (v162(constB158) <=> v160(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB157, constB158)) | (v162(constB158) <=> v160(constB157)))),
% 16.87/12.03 inference(rewrite,[status(thm)],[])).
% 16.87/12.03 tff(26956,plain,
% 16.87/12.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB157, constB158)) | (v162(constB158) <=> v160(constB157)))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(26957,plain,
% 16.87/12.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB157, constB158)) | (v162(constB158) <=> v160(constB157))),
% 16.87/12.03 inference(modus_ponens,[status(thm)],[26956, 26955])).
% 16.87/12.03 tff(26958,plain,
% 16.87/12.03 (v162(constB158) <=> v160(constB157)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26957, 14791, 70])).
% 16.87/12.03 tff(26959,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB157) <=> (v163(constB157) | v164(constB157)))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(26960,plain,
% 16.87/12.03 (v160(constB157) <=> (v163(constB157) | v164(constB157))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26959, 84])).
% 16.87/12.03 tff(26961,plain,
% 16.87/12.03 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157))))))),
% 16.87/12.03 inference(rewrite,[status(thm)],[])).
% 16.87/12.03 tff(26962,plain,
% 16.87/12.03 ((v163(constB157) <=> (~((~v139(constB157)) | (~v128(constB157))))) <=> (v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157)))))),
% 16.87/12.03 inference(rewrite,[status(thm)],[])).
% 16.87/12.03 tff(26963,plain,
% 16.87/12.03 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v139(constB157)) | (~v128(constB157)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157))))))),
% 16.87/12.03 inference(monotonicity,[status(thm)],[26962])).
% 16.87/12.03 tff(26964,plain,
% 16.87/12.03 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v139(constB157)) | (~v128(constB157)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157))))))),
% 16.87/12.03 inference(transitivity,[status(thm)],[26963, 26961])).
% 16.87/12.03 tff(26965,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v139(constB157)) | (~v128(constB157)))))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(26966,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157)))))),
% 16.87/12.03 inference(modus_ponens,[status(thm)],[26965, 26964])).
% 16.87/12.03 tff(26967,plain,
% 16.87/12.03 (v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157))))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26966, 171])).
% 16.87/12.03 tff(26968,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB157)) <=> v140(constB157))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(26969,plain,
% 16.87/12.03 ((~v139(constB157)) <=> v140(constB157)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26968, 203])).
% 16.87/12.03 tff(26970,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB157) <=> (v141(constB157) | v26(constB157)))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(26971,plain,
% 16.87/12.03 (v140(constB157) <=> (v141(constB157) | v26(constB157))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26970, 212])).
% 16.87/12.03 tff(26972,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB157) <=> (~((~v39(constB157)) | (~v9(constB157)))))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(26973,plain,
% 16.87/12.03 (v141(constB157) <=> (~((~v39(constB157)) | (~v9(constB157))))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26972, 130])).
% 16.87/12.03 tff(26974,plain,
% 16.87/12.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB157, constB158)) | (v13(constB158) <=> v9(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB157, constB158)) | (v13(constB158) <=> v9(constB157)))),
% 16.87/12.03 inference(rewrite,[status(thm)],[])).
% 16.87/12.03 tff(26975,plain,
% 16.87/12.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB157, constB158)) | (v13(constB158) <=> v9(constB157)))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(26976,plain,
% 16.87/12.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB157, constB158)) | (v13(constB158) <=> v9(constB157))),
% 16.87/12.03 inference(modus_ponens,[status(thm)],[26975, 26974])).
% 16.87/12.03 tff(26977,plain,
% 16.87/12.03 (v13(constB158) <=> v9(constB157)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26976, 14791, 226])).
% 16.87/12.03 tff(26978,plain,
% 16.87/12.03 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB158) <=> v13(constB158))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(26979,plain,
% 16.87/12.03 (v6(constB158) <=> v13(constB158)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26978, 240])).
% 16.87/12.03 tff(26980,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB158)) <=> v6(constB158))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(26981,plain,
% 16.87/12.03 ((~v21(constB158)) <=> v6(constB158)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26980, 249])).
% 16.87/12.03 tff(26982,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB158) <=> (v20(constB158) | v21(constB158)))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(26983,plain,
% 16.87/12.03 (v19(constB158) <=> (v20(constB158) | v21(constB158))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26982, 258])).
% 16.87/12.03 tff(26984,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB158) <=> (~((~v19(constB158)) | (~v22(constB158)))))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(26985,plain,
% 16.87/12.03 (v18(constB158) <=> (~((~v19(constB158)) | (~v22(constB158))))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26984, 270])).
% 16.87/12.03 tff(26986,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB158)) <=> v18(constB158))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(26987,plain,
% 16.87/12.03 ((~v4(constB158)) <=> v18(constB158)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26986, 279])).
% 16.87/12.03 tff(26988,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB158)),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(26989,plain,
% 16.87/12.03 (v4(constB158)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26988, 288])).
% 16.87/12.03 tff(26990,plain,
% 16.87/12.03 ((~((~v4(constB158)) <=> v18(constB158))) | (~v4(constB158)) | (~v18(constB158))),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(26991,plain,
% 16.87/12.03 (~v18(constB158)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26990, 26989, 26987])).
% 16.87/12.03 tff(26992,plain,
% 16.87/12.03 ((~(v18(constB158) <=> (~((~v19(constB158)) | (~v22(constB158)))))) | v18(constB158) | ((~v19(constB158)) | (~v22(constB158)))),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(26993,plain,
% 16.87/12.03 ((~v19(constB158)) | (~v22(constB158))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26992, 26991, 26985])).
% 16.87/12.03 tff(26994,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB158) <=> (v1(constB158) | v6(constB158)))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(26995,plain,
% 16.87/12.03 (v22(constB158) <=> (v1(constB158) | v6(constB158))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26994, 301])).
% 16.87/12.03 tff(26996,plain,
% 16.87/12.03 ((v1(constB158) | v6(constB158)) | (~v1(constB158))),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(26997,plain,
% 16.87/12.03 (v1(constB158) | v6(constB158)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26996, 21072])).
% 16.87/12.03 tff(26998,plain,
% 16.87/12.03 ((~(v22(constB158) <=> (v1(constB158) | v6(constB158)))) | v22(constB158) | (~(v1(constB158) | v6(constB158)))),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(26999,plain,
% 16.87/12.03 ((~(v22(constB158) <=> (v1(constB158) | v6(constB158)))) | v22(constB158)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26998, 26997])).
% 16.87/12.03 tff(27000,plain,
% 16.87/12.03 (v22(constB158)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[26999, 26995])).
% 16.87/12.03 tff(27001,plain,
% 16.87/12.03 ((~((~v19(constB158)) | (~v22(constB158)))) | (~v19(constB158)) | (~v22(constB158))),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(27002,plain,
% 16.87/12.03 ((~((~v19(constB158)) | (~v22(constB158)))) | (~v19(constB158))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27001, 27000])).
% 16.87/12.03 tff(27003,plain,
% 16.87/12.03 (~v19(constB158)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27002, 26993])).
% 16.87/12.03 tff(27004,plain,
% 16.87/12.03 ((~(v19(constB158) <=> (v20(constB158) | v21(constB158)))) | v19(constB158) | (~(v20(constB158) | v21(constB158)))),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(27005,plain,
% 16.87/12.03 (~(v20(constB158) | v21(constB158))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27004, 27003, 26983])).
% 16.87/12.03 tff(27006,plain,
% 16.87/12.03 ((v20(constB158) | v21(constB158)) | (~v21(constB158))),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(27007,plain,
% 16.87/12.03 (~v21(constB158)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27006, 27005])).
% 16.87/12.03 tff(27008,plain,
% 16.87/12.03 ((~((~v21(constB158)) <=> v6(constB158))) | v21(constB158) | v6(constB158)),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(27009,plain,
% 16.87/12.03 (v6(constB158)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27008, 27007, 26981])).
% 16.87/12.03 tff(27010,plain,
% 16.87/12.03 ((~(v6(constB158) <=> v13(constB158))) | (~v6(constB158)) | v13(constB158)),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(27011,plain,
% 16.87/12.03 (v13(constB158)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27010, 27009, 26979])).
% 16.87/12.03 tff(27012,plain,
% 16.87/12.03 ((~(v13(constB158) <=> v9(constB157))) | (~v13(constB158)) | v9(constB157)),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(27013,plain,
% 16.87/12.03 (v9(constB157)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27012, 27011, 26977])).
% 16.87/12.03 tff(27014,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB157)) <=> v1(constB157))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(27015,plain,
% 16.87/12.03 ((~v39(constB157)) <=> v1(constB157)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27014, 139])).
% 16.87/12.03 tff(27016,plain,
% 16.87/12.03 ((~((~v39(constB157)) <=> v1(constB157))) | v39(constB157) | v1(constB157)),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(27017,plain,
% 16.87/12.03 ((~((~v39(constB157)) <=> v1(constB157))) | v39(constB157)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27016, 14830])).
% 16.87/12.03 tff(27018,plain,
% 16.87/12.03 (v39(constB157)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27017, 27015])).
% 16.87/12.03 tff(27019,plain,
% 16.87/12.03 ((~((~v39(constB157)) | (~v9(constB157)))) | (~v39(constB157)) | (~v9(constB157))),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(27020,plain,
% 16.87/12.03 ((~((~v39(constB157)) | (~v9(constB157)))) | (~v9(constB157))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27019, 27018])).
% 16.87/12.03 tff(27021,plain,
% 16.87/12.03 (~((~v39(constB157)) | (~v9(constB157)))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27020, 27013])).
% 16.87/12.03 tff(27022,plain,
% 16.87/12.03 ((~(v141(constB157) <=> (~((~v39(constB157)) | (~v9(constB157)))))) | v141(constB157) | ((~v39(constB157)) | (~v9(constB157)))),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(27023,plain,
% 16.87/12.03 (v141(constB157)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27022, 27021, 26973])).
% 16.87/12.03 tff(27024,plain,
% 16.87/12.03 ((v141(constB157) | v26(constB157)) | (~v141(constB157))),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(27025,plain,
% 16.87/12.03 (v141(constB157) | v26(constB157)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27024, 27023])).
% 16.87/12.03 tff(27026,plain,
% 16.87/12.03 ((~(v140(constB157) <=> (v141(constB157) | v26(constB157)))) | v140(constB157) | (~(v141(constB157) | v26(constB157)))),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(27027,plain,
% 16.87/12.03 (v140(constB157)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27026, 27025, 26971])).
% 16.87/12.03 tff(27028,plain,
% 16.87/12.03 ((~((~v139(constB157)) <=> v140(constB157))) | (~v139(constB157)) | (~v140(constB157))),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(27029,plain,
% 16.87/12.03 (~v139(constB157)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27028, 27027, 26969])).
% 16.87/12.03 tff(27030,plain,
% 16.87/12.03 (((~v128(constB157)) | (~v139(constB157))) | v139(constB157)),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(27031,plain,
% 16.87/12.03 ((~v128(constB157)) | (~v139(constB157))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27030, 27029])).
% 16.87/12.03 tff(27032,plain,
% 16.87/12.03 ((~(v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157)))))) | (~v163(constB157)) | (~((~v128(constB157)) | (~v139(constB157))))),
% 16.87/12.03 inference(tautology,[status(thm)],[])).
% 16.87/12.03 tff(27033,plain,
% 16.87/12.03 (~v163(constB157)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27032, 27031, 26967])).
% 16.87/12.03 tff(27034,plain,
% 16.87/12.03 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v130(constB157)) | (~v155(constB157)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v130(constB157)) | (~v155(constB157))))))),
% 16.87/12.03 inference(rewrite,[status(thm)],[])).
% 16.87/12.03 tff(27035,plain,
% 16.87/12.03 ((v164(constB157) <=> (~((~v155(constB157)) | (~v130(constB157))))) <=> (v164(constB157) <=> (~((~v130(constB157)) | (~v155(constB157)))))),
% 16.87/12.03 inference(rewrite,[status(thm)],[])).
% 16.87/12.03 tff(27036,plain,
% 16.87/12.03 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v155(constB157)) | (~v130(constB157)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v130(constB157)) | (~v155(constB157))))))),
% 16.87/12.03 inference(monotonicity,[status(thm)],[27035])).
% 16.87/12.03 tff(27037,plain,
% 16.87/12.03 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v155(constB157)) | (~v130(constB157)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v130(constB157)) | (~v155(constB157))))))),
% 16.87/12.03 inference(transitivity,[status(thm)],[27036, 27034])).
% 16.87/12.03 tff(27038,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v155(constB157)) | (~v130(constB157)))))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(27039,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v130(constB157)) | (~v155(constB157)))))),
% 16.87/12.03 inference(modus_ponens,[status(thm)],[27038, 27037])).
% 16.87/12.03 tff(27040,plain,
% 16.87/12.03 (v164(constB157) <=> (~((~v130(constB157)) | (~v155(constB157))))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27039, 96])).
% 16.87/12.03 tff(27041,plain,
% 16.87/12.03 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB157) <=> v152(constB157))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(27042,plain,
% 16.87/12.03 (v130(constB157) <=> v152(constB157)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27041, 361])).
% 16.87/12.03 tff(27043,plain,
% 16.87/12.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB156, constB157)) | (v152(constB157) <=> v150(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB156, constB157)) | (v152(constB157) <=> v150(constB156)))),
% 16.87/12.03 inference(rewrite,[status(thm)],[])).
% 16.87/12.03 tff(27044,plain,
% 16.87/12.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB156, constB157)) | (v152(constB157) <=> v150(constB156)))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(27045,plain,
% 16.87/12.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB156, constB157)) | (v152(constB157) <=> v150(constB156))),
% 16.87/12.03 inference(modus_ponens,[status(thm)],[27044, 27043])).
% 16.87/12.03 tff(27046,plain,
% 16.87/12.03 (v152(constB157) <=> v150(constB156)),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27045, 14816, 373])).
% 16.87/12.03 tff(27047,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB156) <=> (v153(constB156) | v154(constB156)))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(27048,plain,
% 16.87/12.03 (v150(constB156) <=> (v153(constB156) | v154(constB156))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27047, 387])).
% 16.87/12.03 tff(27049,plain,
% 16.87/12.03 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB156) <=> (~((~v132(constB156)) | (~v155(constB156)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB156) <=> (~((~v132(constB156)) | (~v155(constB156))))))),
% 16.87/12.03 inference(rewrite,[status(thm)],[])).
% 16.87/12.03 tff(27050,plain,
% 16.87/12.03 ((v154(constB156) <=> (~((~v155(constB156)) | (~v132(constB156))))) <=> (v154(constB156) <=> (~((~v132(constB156)) | (~v155(constB156)))))),
% 16.87/12.03 inference(rewrite,[status(thm)],[])).
% 16.87/12.03 tff(27051,plain,
% 16.87/12.03 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB156) <=> (~((~v155(constB156)) | (~v132(constB156)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB156) <=> (~((~v132(constB156)) | (~v155(constB156))))))),
% 16.87/12.03 inference(monotonicity,[status(thm)],[27050])).
% 16.87/12.03 tff(27052,plain,
% 16.87/12.03 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB156) <=> (~((~v155(constB156)) | (~v132(constB156)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB156) <=> (~((~v132(constB156)) | (~v155(constB156))))))),
% 16.87/12.03 inference(transitivity,[status(thm)],[27051, 27049])).
% 16.87/12.03 tff(27053,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB156) <=> (~((~v155(constB156)) | (~v132(constB156)))))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.87/12.03 tff(27054,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB156) <=> (~((~v132(constB156)) | (~v155(constB156)))))),
% 16.87/12.03 inference(modus_ponens,[status(thm)],[27053, 27052])).
% 16.87/12.03 tff(27055,plain,
% 16.87/12.03 (v154(constB156) <=> (~((~v132(constB156)) | (~v155(constB156))))),
% 16.87/12.03 inference(unit_resolution,[status(thm)],[27054, 399])).
% 16.87/12.03 tff(27056,plain,
% 16.87/12.03 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB156) <=> (~((~v141(constB156)) | (~v143(constB156)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB156) <=> (~((~v141(constB156)) | (~v143(constB156))))))),
% 16.87/12.03 inference(rewrite,[status(thm)],[])).
% 16.87/12.03 tff(27057,plain,
% 16.87/12.03 ((v155(constB156) <=> (~((~v143(constB156)) | (~v141(constB156))))) <=> (v155(constB156) <=> (~((~v141(constB156)) | (~v143(constB156)))))),
% 16.87/12.03 inference(rewrite,[status(thm)],[])).
% 16.87/12.03 tff(27058,plain,
% 16.87/12.03 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB156) <=> (~((~v143(constB156)) | (~v141(constB156)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB156) <=> (~((~v141(constB156)) | (~v143(constB156))))))),
% 16.87/12.03 inference(monotonicity,[status(thm)],[27057])).
% 16.87/12.03 tff(27059,plain,
% 16.87/12.03 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB156) <=> (~((~v143(constB156)) | (~v141(constB156)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB156) <=> (~((~v141(constB156)) | (~v143(constB156))))))),
% 16.87/12.03 inference(transitivity,[status(thm)],[27058, 27056])).
% 16.87/12.03 tff(27060,plain,
% 16.87/12.03 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB156) <=> (~((~v143(constB156)) | (~v141(constB156)))))),
% 16.87/12.03 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27061,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB156) <=> (~((~v141(constB156)) | (~v143(constB156)))))),
% 16.90/12.04 inference(modus_ponens,[status(thm)],[27060, 27059])).
% 16.90/12.04 tff(27062,plain,
% 16.90/12.04 (v155(constB156) <=> (~((~v141(constB156)) | (~v143(constB156))))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27061, 113])).
% 16.90/12.04 tff(27063,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB156) <=> (~((~v39(constB156)) | (~v9(constB156)))))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27064,plain,
% 16.90/12.04 (v141(constB156) <=> (~((~v39(constB156)) | (~v9(constB156))))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27063, 130])).
% 16.90/12.04 tff(27065,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB156)) <=> v1(constB156))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27066,plain,
% 16.90/12.04 ((~v39(constB156)) <=> v1(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27065, 139])).
% 16.90/12.04 tff(27067,plain,
% 16.90/12.04 ((~((~v39(constB156)) <=> v1(constB156))) | (~v39(constB156)) | (~v1(constB156))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27068,plain,
% 16.90/12.04 ((~((~v39(constB156)) <=> v1(constB156))) | (~v39(constB156))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27067, 20935])).
% 16.90/12.04 tff(27069,plain,
% 16.90/12.04 (~v39(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27068, 27066])).
% 16.90/12.04 tff(27070,plain,
% 16.90/12.04 (((~v39(constB156)) | (~v9(constB156))) | v39(constB156)),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27071,plain,
% 16.90/12.04 ((~v39(constB156)) | (~v9(constB156))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27070, 27069])).
% 16.90/12.04 tff(27072,plain,
% 16.90/12.04 ((~(v141(constB156) <=> (~((~v39(constB156)) | (~v9(constB156)))))) | (~v141(constB156)) | (~((~v39(constB156)) | (~v9(constB156))))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27073,plain,
% 16.90/12.04 ((~(v141(constB156) <=> (~((~v39(constB156)) | (~v9(constB156)))))) | (~v141(constB156))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27072, 27071])).
% 16.90/12.04 tff(27074,plain,
% 16.90/12.04 (~v141(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27073, 27064])).
% 16.90/12.04 tff(27075,plain,
% 16.90/12.04 (((~v141(constB156)) | (~v143(constB156))) | v141(constB156)),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27076,plain,
% 16.90/12.04 ((~v141(constB156)) | (~v143(constB156))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27075, 27074])).
% 16.90/12.04 tff(27077,plain,
% 16.90/12.04 ((~(v155(constB156) <=> (~((~v141(constB156)) | (~v143(constB156)))))) | (~v155(constB156)) | (~((~v141(constB156)) | (~v143(constB156))))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27078,plain,
% 16.90/12.04 ((~(v155(constB156) <=> (~((~v141(constB156)) | (~v143(constB156)))))) | (~v155(constB156))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27077, 27076])).
% 16.90/12.04 tff(27079,plain,
% 16.90/12.04 (~v155(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27078, 27062])).
% 16.90/12.04 tff(27080,plain,
% 16.90/12.04 (((~v132(constB156)) | (~v155(constB156))) | v155(constB156)),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27081,plain,
% 16.90/12.04 ((~v132(constB156)) | (~v155(constB156))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27080, 27079])).
% 16.90/12.04 tff(27082,plain,
% 16.90/12.04 ((~(v154(constB156) <=> (~((~v132(constB156)) | (~v155(constB156)))))) | (~v154(constB156)) | (~((~v132(constB156)) | (~v155(constB156))))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27083,plain,
% 16.90/12.04 (~v154(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27082, 27081, 27055])).
% 16.90/12.04 tff(27084,plain,
% 16.90/12.04 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB156) <=> (~((~v130(constB156)) | (~v139(constB156)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB156) <=> (~((~v130(constB156)) | (~v139(constB156))))))),
% 16.90/12.04 inference(rewrite,[status(thm)],[])).
% 16.90/12.04 tff(27085,plain,
% 16.90/12.04 ((v153(constB156) <=> (~((~v139(constB156)) | (~v130(constB156))))) <=> (v153(constB156) <=> (~((~v130(constB156)) | (~v139(constB156)))))),
% 16.90/12.04 inference(rewrite,[status(thm)],[])).
% 16.90/12.04 tff(27086,plain,
% 16.90/12.04 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB156) <=> (~((~v139(constB156)) | (~v130(constB156)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB156) <=> (~((~v130(constB156)) | (~v139(constB156))))))),
% 16.90/12.04 inference(monotonicity,[status(thm)],[27085])).
% 16.90/12.04 tff(27087,plain,
% 16.90/12.04 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB156) <=> (~((~v139(constB156)) | (~v130(constB156)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB156) <=> (~((~v130(constB156)) | (~v139(constB156))))))),
% 16.90/12.04 inference(transitivity,[status(thm)],[27086, 27084])).
% 16.90/12.04 tff(27088,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB156) <=> (~((~v139(constB156)) | (~v130(constB156)))))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27089,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB156) <=> (~((~v130(constB156)) | (~v139(constB156)))))),
% 16.90/12.04 inference(modus_ponens,[status(thm)],[27088, 27087])).
% 16.90/12.04 tff(27090,plain,
% 16.90/12.04 (v153(constB156) <=> (~((~v130(constB156)) | (~v139(constB156))))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27089, 447])).
% 16.90/12.04 tff(27091,plain,
% 16.90/12.04 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB156) <=> v152(constB156))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27092,plain,
% 16.90/12.04 (v130(constB156) <=> v152(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27091, 361])).
% 16.90/12.04 tff(27093,plain,
% 16.90/12.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB155, constB156)) | (v152(constB156) <=> v150(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB155, constB156)) | (v152(constB156) <=> v150(constB155)))),
% 16.90/12.04 inference(rewrite,[status(thm)],[])).
% 16.90/12.04 tff(27094,plain,
% 16.90/12.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB155, constB156)) | (v152(constB156) <=> v150(constB155)))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27095,plain,
% 16.90/12.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB155, constB156)) | (v152(constB156) <=> v150(constB155))),
% 16.90/12.04 inference(modus_ponens,[status(thm)],[27094, 27093])).
% 16.90/12.04 tff(27096,plain,
% 16.90/12.04 (v152(constB156) <=> v150(constB155)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27095, 14852, 373])).
% 16.90/12.04 tff(27097,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB155) <=> (v153(constB155) | v154(constB155)))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27098,plain,
% 16.90/12.04 (v150(constB155) <=> (v153(constB155) | v154(constB155))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27097, 387])).
% 16.90/12.04 tff(27099,plain,
% 16.90/12.04 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB155) <=> (~((~v130(constB155)) | (~v139(constB155)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB155) <=> (~((~v130(constB155)) | (~v139(constB155))))))),
% 16.90/12.04 inference(rewrite,[status(thm)],[])).
% 16.90/12.04 tff(27100,plain,
% 16.90/12.04 ((v153(constB155) <=> (~((~v139(constB155)) | (~v130(constB155))))) <=> (v153(constB155) <=> (~((~v130(constB155)) | (~v139(constB155)))))),
% 16.90/12.04 inference(rewrite,[status(thm)],[])).
% 16.90/12.04 tff(27101,plain,
% 16.90/12.04 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB155) <=> (~((~v139(constB155)) | (~v130(constB155)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB155) <=> (~((~v130(constB155)) | (~v139(constB155))))))),
% 16.90/12.04 inference(monotonicity,[status(thm)],[27100])).
% 16.90/12.04 tff(27102,plain,
% 16.90/12.04 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB155) <=> (~((~v139(constB155)) | (~v130(constB155)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB155) <=> (~((~v130(constB155)) | (~v139(constB155))))))),
% 16.90/12.04 inference(transitivity,[status(thm)],[27101, 27099])).
% 16.90/12.04 tff(27103,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB155) <=> (~((~v139(constB155)) | (~v130(constB155)))))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27104,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB155) <=> (~((~v130(constB155)) | (~v139(constB155)))))),
% 16.90/12.04 inference(modus_ponens,[status(thm)],[27103, 27102])).
% 16.90/12.04 tff(27105,plain,
% 16.90/12.04 (v153(constB155) <=> (~((~v130(constB155)) | (~v139(constB155))))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27104, 447])).
% 16.90/12.04 tff(27106,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB155)) <=> v140(constB155))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27107,plain,
% 16.90/12.04 ((~v139(constB155)) <=> v140(constB155)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27106, 203])).
% 16.90/12.04 tff(27108,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB155) <=> (v141(constB155) | v26(constB155)))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27109,plain,
% 16.90/12.04 (v140(constB155) <=> (v141(constB155) | v26(constB155))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27108, 212])).
% 16.90/12.04 tff(27110,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB155) <=> (~((~v39(constB155)) | (~v9(constB155)))))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27111,plain,
% 16.90/12.04 (v141(constB155) <=> (~((~v39(constB155)) | (~v9(constB155))))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27110, 130])).
% 16.90/12.04 tff(27112,plain,
% 16.90/12.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB155, constB156)) | (v13(constB156) <=> v9(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB155, constB156)) | (v13(constB156) <=> v9(constB155)))),
% 16.90/12.04 inference(rewrite,[status(thm)],[])).
% 16.90/12.04 tff(27113,plain,
% 16.90/12.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB155, constB156)) | (v13(constB156) <=> v9(constB155)))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27114,plain,
% 16.90/12.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB155, constB156)) | (v13(constB156) <=> v9(constB155))),
% 16.90/12.04 inference(modus_ponens,[status(thm)],[27113, 27112])).
% 16.90/12.04 tff(27115,plain,
% 16.90/12.04 (v13(constB156) <=> v9(constB155)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27114, 14852, 226])).
% 16.90/12.04 tff(27116,plain,
% 16.90/12.04 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB156) <=> v13(constB156))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27117,plain,
% 16.90/12.04 (v6(constB156) <=> v13(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27116, 240])).
% 16.90/12.04 tff(27118,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB156)) <=> v6(constB156))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27119,plain,
% 16.90/12.04 ((~v21(constB156)) <=> v6(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27118, 249])).
% 16.90/12.04 tff(27120,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB156) <=> (v20(constB156) | v21(constB156)))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27121,plain,
% 16.90/12.04 (v19(constB156) <=> (v20(constB156) | v21(constB156))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27120, 258])).
% 16.90/12.04 tff(27122,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB156) <=> (~((~v19(constB156)) | (~v22(constB156)))))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27123,plain,
% 16.90/12.04 (v18(constB156) <=> (~((~v19(constB156)) | (~v22(constB156))))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27122, 270])).
% 16.90/12.04 tff(27124,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB156)) <=> v18(constB156))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27125,plain,
% 16.90/12.04 ((~v4(constB156)) <=> v18(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27124, 279])).
% 16.90/12.04 tff(27126,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB156)),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27127,plain,
% 16.90/12.04 (v4(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27126, 288])).
% 16.90/12.04 tff(27128,plain,
% 16.90/12.04 ((~((~v4(constB156)) <=> v18(constB156))) | (~v4(constB156)) | (~v18(constB156))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27129,plain,
% 16.90/12.04 (~v18(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27128, 27127, 27125])).
% 16.90/12.04 tff(27130,plain,
% 16.90/12.04 ((~(v18(constB156) <=> (~((~v19(constB156)) | (~v22(constB156)))))) | v18(constB156) | ((~v19(constB156)) | (~v22(constB156)))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27131,plain,
% 16.90/12.04 ((~v19(constB156)) | (~v22(constB156))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27130, 27129, 27123])).
% 16.90/12.04 tff(27132,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB156) <=> (v1(constB156) | v6(constB156)))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27133,plain,
% 16.90/12.04 (v22(constB156) <=> (v1(constB156) | v6(constB156))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27132, 301])).
% 16.90/12.04 tff(27134,plain,
% 16.90/12.04 ((v1(constB156) | v6(constB156)) | (~v1(constB156))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27135,plain,
% 16.90/12.04 (v1(constB156) | v6(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27134, 20935])).
% 16.90/12.04 tff(27136,plain,
% 16.90/12.04 ((~(v22(constB156) <=> (v1(constB156) | v6(constB156)))) | v22(constB156) | (~(v1(constB156) | v6(constB156)))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27137,plain,
% 16.90/12.04 ((~(v22(constB156) <=> (v1(constB156) | v6(constB156)))) | v22(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27136, 27135])).
% 16.90/12.04 tff(27138,plain,
% 16.90/12.04 (v22(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27137, 27133])).
% 16.90/12.04 tff(27139,plain,
% 16.90/12.04 ((~((~v19(constB156)) | (~v22(constB156)))) | (~v19(constB156)) | (~v22(constB156))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27140,plain,
% 16.90/12.04 ((~((~v19(constB156)) | (~v22(constB156)))) | (~v19(constB156))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27139, 27138])).
% 16.90/12.04 tff(27141,plain,
% 16.90/12.04 (~v19(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27140, 27131])).
% 16.90/12.04 tff(27142,plain,
% 16.90/12.04 ((~(v19(constB156) <=> (v20(constB156) | v21(constB156)))) | v19(constB156) | (~(v20(constB156) | v21(constB156)))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27143,plain,
% 16.90/12.04 (~(v20(constB156) | v21(constB156))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27142, 27141, 27121])).
% 16.90/12.04 tff(27144,plain,
% 16.90/12.04 ((v20(constB156) | v21(constB156)) | (~v21(constB156))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27145,plain,
% 16.90/12.04 (~v21(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27144, 27143])).
% 16.90/12.04 tff(27146,plain,
% 16.90/12.04 ((~((~v21(constB156)) <=> v6(constB156))) | v21(constB156) | v6(constB156)),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27147,plain,
% 16.90/12.04 (v6(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27146, 27145, 27119])).
% 16.90/12.04 tff(27148,plain,
% 16.90/12.04 ((~(v6(constB156) <=> v13(constB156))) | (~v6(constB156)) | v13(constB156)),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27149,plain,
% 16.90/12.04 (v13(constB156)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27148, 27147, 27117])).
% 16.90/12.04 tff(27150,plain,
% 16.90/12.04 ((~(v13(constB156) <=> v9(constB155))) | (~v13(constB156)) | v9(constB155)),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27151,plain,
% 16.90/12.04 (v9(constB155)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27150, 27149, 27115])).
% 16.90/12.04 tff(27152,plain,
% 16.90/12.04 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB155)) <=> v1(constB155))),
% 16.90/12.04 inference(quant_inst,[status(thm)],[])).
% 16.90/12.04 tff(27153,plain,
% 16.90/12.04 ((~v39(constB155)) <=> v1(constB155)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27152, 139])).
% 16.90/12.04 tff(27154,plain,
% 16.90/12.04 ((~((~v39(constB155)) <=> v1(constB155))) | v39(constB155) | v1(constB155)),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27155,plain,
% 16.90/12.04 ((~((~v39(constB155)) <=> v1(constB155))) | v39(constB155)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27154, 14891])).
% 16.90/12.04 tff(27156,plain,
% 16.90/12.04 (v39(constB155)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27155, 27153])).
% 16.90/12.04 tff(27157,plain,
% 16.90/12.04 ((~((~v39(constB155)) | (~v9(constB155)))) | (~v39(constB155)) | (~v9(constB155))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27158,plain,
% 16.90/12.04 ((~((~v39(constB155)) | (~v9(constB155)))) | (~v9(constB155))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27157, 27156])).
% 16.90/12.04 tff(27159,plain,
% 16.90/12.04 (~((~v39(constB155)) | (~v9(constB155)))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27158, 27151])).
% 16.90/12.04 tff(27160,plain,
% 16.90/12.04 ((~(v141(constB155) <=> (~((~v39(constB155)) | (~v9(constB155)))))) | v141(constB155) | ((~v39(constB155)) | (~v9(constB155)))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27161,plain,
% 16.90/12.04 (v141(constB155)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27160, 27159, 27111])).
% 16.90/12.04 tff(27162,plain,
% 16.90/12.04 ((v141(constB155) | v26(constB155)) | (~v141(constB155))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27163,plain,
% 16.90/12.04 (v141(constB155) | v26(constB155)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27162, 27161])).
% 16.90/12.04 tff(27164,plain,
% 16.90/12.04 ((~(v140(constB155) <=> (v141(constB155) | v26(constB155)))) | v140(constB155) | (~(v141(constB155) | v26(constB155)))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27165,plain,
% 16.90/12.04 (v140(constB155)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27164, 27163, 27109])).
% 16.90/12.04 tff(27166,plain,
% 16.90/12.04 ((~((~v139(constB155)) <=> v140(constB155))) | (~v139(constB155)) | (~v140(constB155))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27167,plain,
% 16.90/12.04 (~v139(constB155)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27166, 27165, 27107])).
% 16.90/12.04 tff(27168,plain,
% 16.90/12.04 (((~v130(constB155)) | (~v139(constB155))) | v139(constB155)),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27169,plain,
% 16.90/12.04 ((~v130(constB155)) | (~v139(constB155))),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27168, 27167])).
% 16.90/12.04 tff(27170,plain,
% 16.90/12.04 ((~(v153(constB155) <=> (~((~v130(constB155)) | (~v139(constB155)))))) | (~v153(constB155)) | (~((~v130(constB155)) | (~v139(constB155))))),
% 16.90/12.04 inference(tautology,[status(thm)],[])).
% 16.90/12.04 tff(27171,plain,
% 16.90/12.04 (~v153(constB155)),
% 16.90/12.04 inference(unit_resolution,[status(thm)],[27170, 27169, 27105])).
% 16.90/12.04 tff(27172,plain,
% 16.90/12.04 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB155) <=> (~((~v132(constB155)) | (~v155(constB155)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB155) <=> (~((~v132(constB155)) | (~v155(constB155))))))),
% 16.90/12.04 inference(rewrite,[status(thm)],[])).
% 16.90/12.04 tff(27173,plain,
% 16.90/12.04 ((v154(constB155) <=> (~((~v155(constB155)) | (~v132(constB155))))) <=> (v154(constB155) <=> (~((~v132(constB155)) | (~v155(constB155)))))),
% 16.90/12.04 inference(rewrite,[status(thm)],[])).
% 16.90/12.04 tff(27174,plain,
% 16.90/12.04 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB155) <=> (~((~v155(constB155)) | (~v132(constB155)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB155) <=> (~((~v132(constB155)) | (~v155(constB155))))))),
% 16.90/12.04 inference(monotonicity,[status(thm)],[27173])).
% 16.90/12.04 tff(27175,plain,
% 16.90/12.04 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB155) <=> (~((~v155(constB155)) | (~v132(constB155)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB155) <=> (~((~v132(constB155)) | (~v155(constB155))))))),
% 16.90/12.05 inference(transitivity,[status(thm)],[27174, 27172])).
% 16.90/12.05 tff(27176,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB155) <=> (~((~v155(constB155)) | (~v132(constB155)))))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27177,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB155) <=> (~((~v132(constB155)) | (~v155(constB155)))))),
% 16.90/12.05 inference(modus_ponens,[status(thm)],[27176, 27175])).
% 16.90/12.05 tff(27178,plain,
% 16.90/12.05 (v154(constB155) <=> (~((~v132(constB155)) | (~v155(constB155))))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27177, 399])).
% 16.90/12.05 tff(27179,plain,
% 16.90/12.05 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB155) <=> v137(constB155))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27180,plain,
% 16.90/12.05 (v132(constB155) <=> v137(constB155)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27179, 558])).
% 16.90/12.05 tff(27181,plain,
% 16.90/12.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB154, constB155)) | (v137(constB155) <=> v135(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB154, constB155)) | (v137(constB155) <=> v135(constB154)))),
% 16.90/12.05 inference(rewrite,[status(thm)],[])).
% 16.90/12.05 tff(27182,plain,
% 16.90/12.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB154, constB155)) | (v137(constB155) <=> v135(constB154)))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27183,plain,
% 16.90/12.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB154, constB155)) | (v137(constB155) <=> v135(constB154))),
% 16.90/12.05 inference(modus_ponens,[status(thm)],[27182, 27181])).
% 16.90/12.05 tff(27184,plain,
% 16.90/12.05 (v137(constB155) <=> v135(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27183, 14877, 570])).
% 16.90/12.05 tff(27185,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB154) <=> (v138(constB154) | v142(constB154)))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27186,plain,
% 16.90/12.05 (v135(constB154) <=> (v138(constB154) | v142(constB154))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27185, 584])).
% 16.90/12.05 tff(27187,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB154) <=> (~((~v143(constB154)) | (~v144(constB154)))))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27188,plain,
% 16.90/12.05 (v142(constB154) <=> (~((~v143(constB154)) | (~v144(constB154))))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27187, 596])).
% 16.90/12.05 tff(27189,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB154) <=> (~((~v141(constB154)) | (~v145(constB154)))))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27190,plain,
% 16.90/12.05 (v144(constB154) <=> (~((~v141(constB154)) | (~v145(constB154))))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27189, 608])).
% 16.90/12.05 tff(27191,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB154) <=> (~((~v39(constB154)) | (~v9(constB154)))))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27192,plain,
% 16.90/12.05 (v141(constB154) <=> (~((~v39(constB154)) | (~v9(constB154))))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27191, 130])).
% 16.90/12.05 tff(27193,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB154)) <=> v1(constB154))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27194,plain,
% 16.90/12.05 ((~v39(constB154)) <=> v1(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27193, 139])).
% 16.90/12.05 tff(27195,plain,
% 16.90/12.05 ((~((~v39(constB154)) <=> v1(constB154))) | (~v39(constB154)) | (~v1(constB154))),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27196,plain,
% 16.90/12.05 ((~((~v39(constB154)) <=> v1(constB154))) | (~v39(constB154))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27195, 20741])).
% 16.90/12.05 tff(27197,plain,
% 16.90/12.05 (~v39(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27196, 27194])).
% 16.90/12.05 tff(27198,plain,
% 16.90/12.05 (((~v39(constB154)) | (~v9(constB154))) | v39(constB154)),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27199,plain,
% 16.90/12.05 ((~v39(constB154)) | (~v9(constB154))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27198, 27197])).
% 16.90/12.05 tff(27200,plain,
% 16.90/12.05 ((~(v141(constB154) <=> (~((~v39(constB154)) | (~v9(constB154)))))) | (~v141(constB154)) | (~((~v39(constB154)) | (~v9(constB154))))),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27201,plain,
% 16.90/12.05 ((~(v141(constB154) <=> (~((~v39(constB154)) | (~v9(constB154)))))) | (~v141(constB154))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27200, 27199])).
% 16.90/12.05 tff(27202,plain,
% 16.90/12.05 (~v141(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27201, 27192])).
% 16.90/12.05 tff(27203,plain,
% 16.90/12.05 (((~v141(constB154)) | (~v145(constB154))) | v141(constB154)),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27204,plain,
% 16.90/12.05 ((~v141(constB154)) | (~v145(constB154))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27203, 27202])).
% 16.90/12.05 tff(27205,plain,
% 16.90/12.05 ((~(v144(constB154) <=> (~((~v141(constB154)) | (~v145(constB154)))))) | (~v144(constB154)) | (~((~v141(constB154)) | (~v145(constB154))))),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27206,plain,
% 16.90/12.05 ((~(v144(constB154) <=> (~((~v141(constB154)) | (~v145(constB154)))))) | (~v144(constB154))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27205, 27204])).
% 16.90/12.05 tff(27207,plain,
% 16.90/12.05 (~v144(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27206, 27190])).
% 16.90/12.05 tff(27208,plain,
% 16.90/12.05 (((~v143(constB154)) | (~v144(constB154))) | v144(constB154)),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27209,plain,
% 16.90/12.05 ((~v143(constB154)) | (~v144(constB154))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27208, 27207])).
% 16.90/12.05 tff(27210,plain,
% 16.90/12.05 ((~(v142(constB154) <=> (~((~v143(constB154)) | (~v144(constB154)))))) | (~v142(constB154)) | (~((~v143(constB154)) | (~v144(constB154))))),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27211,plain,
% 16.90/12.05 (~v142(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27210, 27209, 27188])).
% 16.90/12.05 tff(27212,plain,
% 16.90/12.05 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154))))))),
% 16.90/12.05 inference(rewrite,[status(thm)],[])).
% 16.90/12.05 tff(27213,plain,
% 16.90/12.05 ((v138(constB154) <=> (~((~v139(constB154)) | (~v132(constB154))))) <=> (v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154)))))),
% 16.90/12.05 inference(rewrite,[status(thm)],[])).
% 16.90/12.05 tff(27214,plain,
% 16.90/12.05 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v139(constB154)) | (~v132(constB154)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154))))))),
% 16.90/12.05 inference(monotonicity,[status(thm)],[27213])).
% 16.90/12.05 tff(27215,plain,
% 16.90/12.05 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v139(constB154)) | (~v132(constB154)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154))))))),
% 16.90/12.05 inference(transitivity,[status(thm)],[27214, 27212])).
% 16.90/12.05 tff(27216,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v139(constB154)) | (~v132(constB154)))))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27217,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154)))))),
% 16.90/12.05 inference(modus_ponens,[status(thm)],[27216, 27215])).
% 16.90/12.05 tff(27218,plain,
% 16.90/12.05 (v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154))))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27217, 644])).
% 16.90/12.05 tff(27219,plain,
% 16.90/12.05 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB154) <=> v137(constB154))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27220,plain,
% 16.90/12.05 (v132(constB154) <=> v137(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27219, 558])).
% 16.90/12.05 tff(27221,plain,
% 16.90/12.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB153, constB154)) | (v137(constB154) <=> v135(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB153, constB154)) | (v137(constB154) <=> v135(constB153)))),
% 16.90/12.05 inference(rewrite,[status(thm)],[])).
% 16.90/12.05 tff(27222,plain,
% 16.90/12.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB153, constB154)) | (v137(constB154) <=> v135(constB153)))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27223,plain,
% 16.90/12.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB153, constB154)) | (v137(constB154) <=> v135(constB153))),
% 16.90/12.05 inference(modus_ponens,[status(thm)],[27222, 27221])).
% 16.90/12.05 tff(27224,plain,
% 16.90/12.05 (v137(constB154) <=> v135(constB153)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27223, 14913, 570])).
% 16.90/12.05 tff(27225,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB153) <=> (v138(constB153) | v142(constB153)))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27226,plain,
% 16.90/12.05 (v135(constB153) <=> (v138(constB153) | v142(constB153))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27225, 584])).
% 16.90/12.05 tff(27227,plain,
% 16.90/12.05 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153))))))),
% 16.90/12.05 inference(rewrite,[status(thm)],[])).
% 16.90/12.05 tff(27228,plain,
% 16.90/12.05 ((v138(constB153) <=> (~((~v139(constB153)) | (~v132(constB153))))) <=> (v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153)))))),
% 16.90/12.05 inference(rewrite,[status(thm)],[])).
% 16.90/12.05 tff(27229,plain,
% 16.90/12.05 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v139(constB153)) | (~v132(constB153)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153))))))),
% 16.90/12.05 inference(monotonicity,[status(thm)],[27228])).
% 16.90/12.05 tff(27230,plain,
% 16.90/12.05 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v139(constB153)) | (~v132(constB153)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153))))))),
% 16.90/12.05 inference(transitivity,[status(thm)],[27229, 27227])).
% 16.90/12.05 tff(27231,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v139(constB153)) | (~v132(constB153)))))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27232,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153)))))),
% 16.90/12.05 inference(modus_ponens,[status(thm)],[27231, 27230])).
% 16.90/12.05 tff(27233,plain,
% 16.90/12.05 (v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153))))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27232, 644])).
% 16.90/12.05 tff(27234,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB153)) <=> v140(constB153))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27235,plain,
% 16.90/12.05 ((~v139(constB153)) <=> v140(constB153)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27234, 203])).
% 16.90/12.05 tff(27236,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB153) <=> (v141(constB153) | v26(constB153)))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27237,plain,
% 16.90/12.05 (v140(constB153) <=> (v141(constB153) | v26(constB153))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27236, 212])).
% 16.90/12.05 tff(27238,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB153) <=> (~((~v39(constB153)) | (~v9(constB153)))))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27239,plain,
% 16.90/12.05 (v141(constB153) <=> (~((~v39(constB153)) | (~v9(constB153))))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27238, 130])).
% 16.90/12.05 tff(27240,plain,
% 16.90/12.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB153, constB154)) | (v13(constB154) <=> v9(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB153, constB154)) | (v13(constB154) <=> v9(constB153)))),
% 16.90/12.05 inference(rewrite,[status(thm)],[])).
% 16.90/12.05 tff(27241,plain,
% 16.90/12.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB153, constB154)) | (v13(constB154) <=> v9(constB153)))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27242,plain,
% 16.90/12.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB153, constB154)) | (v13(constB154) <=> v9(constB153))),
% 16.90/12.05 inference(modus_ponens,[status(thm)],[27241, 27240])).
% 16.90/12.05 tff(27243,plain,
% 16.90/12.05 (v13(constB154) <=> v9(constB153)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27242, 14913, 226])).
% 16.90/12.05 tff(27244,plain,
% 16.90/12.05 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB154) <=> v13(constB154))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27245,plain,
% 16.90/12.05 (v6(constB154) <=> v13(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27244, 240])).
% 16.90/12.05 tff(27246,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB154)) <=> v6(constB154))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27247,plain,
% 16.90/12.05 ((~v21(constB154)) <=> v6(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27246, 249])).
% 16.90/12.05 tff(27248,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB154) <=> (v20(constB154) | v21(constB154)))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27249,plain,
% 16.90/12.05 (v19(constB154) <=> (v20(constB154) | v21(constB154))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27248, 258])).
% 16.90/12.05 tff(27250,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB154) <=> (~((~v19(constB154)) | (~v22(constB154)))))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27251,plain,
% 16.90/12.05 (v18(constB154) <=> (~((~v19(constB154)) | (~v22(constB154))))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27250, 270])).
% 16.90/12.05 tff(27252,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB154)) <=> v18(constB154))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27253,plain,
% 16.90/12.05 ((~v4(constB154)) <=> v18(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27252, 279])).
% 16.90/12.05 tff(27254,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB154)),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27255,plain,
% 16.90/12.05 (v4(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27254, 288])).
% 16.90/12.05 tff(27256,plain,
% 16.90/12.05 ((~((~v4(constB154)) <=> v18(constB154))) | (~v4(constB154)) | (~v18(constB154))),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27257,plain,
% 16.90/12.05 (~v18(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27256, 27255, 27253])).
% 16.90/12.05 tff(27258,plain,
% 16.90/12.05 ((~(v18(constB154) <=> (~((~v19(constB154)) | (~v22(constB154)))))) | v18(constB154) | ((~v19(constB154)) | (~v22(constB154)))),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27259,plain,
% 16.90/12.05 ((~v19(constB154)) | (~v22(constB154))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27258, 27257, 27251])).
% 16.90/12.05 tff(27260,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB154) <=> (v1(constB154) | v6(constB154)))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27261,plain,
% 16.90/12.05 (v22(constB154) <=> (v1(constB154) | v6(constB154))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27260, 301])).
% 16.90/12.05 tff(27262,plain,
% 16.90/12.05 ((v1(constB154) | v6(constB154)) | (~v1(constB154))),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27263,plain,
% 16.90/12.05 (v1(constB154) | v6(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27262, 20741])).
% 16.90/12.05 tff(27264,plain,
% 16.90/12.05 ((~(v22(constB154) <=> (v1(constB154) | v6(constB154)))) | v22(constB154) | (~(v1(constB154) | v6(constB154)))),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27265,plain,
% 16.90/12.05 ((~(v22(constB154) <=> (v1(constB154) | v6(constB154)))) | v22(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27264, 27263])).
% 16.90/12.05 tff(27266,plain,
% 16.90/12.05 (v22(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27265, 27261])).
% 16.90/12.05 tff(27267,plain,
% 16.90/12.05 ((~((~v19(constB154)) | (~v22(constB154)))) | (~v19(constB154)) | (~v22(constB154))),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27268,plain,
% 16.90/12.05 ((~((~v19(constB154)) | (~v22(constB154)))) | (~v19(constB154))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27267, 27266])).
% 16.90/12.05 tff(27269,plain,
% 16.90/12.05 (~v19(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27268, 27259])).
% 16.90/12.05 tff(27270,plain,
% 16.90/12.05 ((~(v19(constB154) <=> (v20(constB154) | v21(constB154)))) | v19(constB154) | (~(v20(constB154) | v21(constB154)))),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27271,plain,
% 16.90/12.05 (~(v20(constB154) | v21(constB154))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27270, 27269, 27249])).
% 16.90/12.05 tff(27272,plain,
% 16.90/12.05 ((v20(constB154) | v21(constB154)) | (~v21(constB154))),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27273,plain,
% 16.90/12.05 (~v21(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27272, 27271])).
% 16.90/12.05 tff(27274,plain,
% 16.90/12.05 ((~((~v21(constB154)) <=> v6(constB154))) | v21(constB154) | v6(constB154)),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27275,plain,
% 16.90/12.05 (v6(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27274, 27273, 27247])).
% 16.90/12.05 tff(27276,plain,
% 16.90/12.05 ((~(v6(constB154) <=> v13(constB154))) | (~v6(constB154)) | v13(constB154)),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27277,plain,
% 16.90/12.05 (v13(constB154)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27276, 27275, 27245])).
% 16.90/12.05 tff(27278,plain,
% 16.90/12.05 ((~(v13(constB154) <=> v9(constB153))) | (~v13(constB154)) | v9(constB153)),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27279,plain,
% 16.90/12.05 (v9(constB153)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27278, 27277, 27243])).
% 16.90/12.05 tff(27280,plain,
% 16.90/12.05 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB153)) <=> v1(constB153))),
% 16.90/12.05 inference(quant_inst,[status(thm)],[])).
% 16.90/12.05 tff(27281,plain,
% 16.90/12.05 ((~v39(constB153)) <=> v1(constB153)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27280, 139])).
% 16.90/12.05 tff(27282,plain,
% 16.90/12.05 ((~((~v39(constB153)) <=> v1(constB153))) | v39(constB153) | v1(constB153)),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27283,plain,
% 16.90/12.05 ((~((~v39(constB153)) <=> v1(constB153))) | v39(constB153)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27282, 14957])).
% 16.90/12.05 tff(27284,plain,
% 16.90/12.05 (v39(constB153)),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27283, 27281])).
% 16.90/12.05 tff(27285,plain,
% 16.90/12.05 ((~((~v39(constB153)) | (~v9(constB153)))) | (~v39(constB153)) | (~v9(constB153))),
% 16.90/12.05 inference(tautology,[status(thm)],[])).
% 16.90/12.05 tff(27286,plain,
% 16.90/12.05 ((~((~v39(constB153)) | (~v9(constB153)))) | (~v9(constB153))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27285, 27284])).
% 16.90/12.05 tff(27287,plain,
% 16.90/12.05 (~((~v39(constB153)) | (~v9(constB153)))),
% 16.90/12.05 inference(unit_resolution,[status(thm)],[27286, 27279])).
% 16.90/12.06 tff(27288,plain,
% 16.90/12.06 ((~(v141(constB153) <=> (~((~v39(constB153)) | (~v9(constB153)))))) | v141(constB153) | ((~v39(constB153)) | (~v9(constB153)))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27289,plain,
% 16.90/12.06 (v141(constB153)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27288, 27287, 27239])).
% 16.90/12.06 tff(27290,plain,
% 16.90/12.06 ((v141(constB153) | v26(constB153)) | (~v141(constB153))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27291,plain,
% 16.90/12.06 (v141(constB153) | v26(constB153)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27290, 27289])).
% 16.90/12.06 tff(27292,plain,
% 16.90/12.06 ((~(v140(constB153) <=> (v141(constB153) | v26(constB153)))) | v140(constB153) | (~(v141(constB153) | v26(constB153)))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27293,plain,
% 16.90/12.06 (v140(constB153)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27292, 27291, 27237])).
% 16.90/12.06 tff(27294,plain,
% 16.90/12.06 ((~((~v139(constB153)) <=> v140(constB153))) | (~v139(constB153)) | (~v140(constB153))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27295,plain,
% 16.90/12.06 (~v139(constB153)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27294, 27293, 27235])).
% 16.90/12.06 tff(27296,plain,
% 16.90/12.06 (((~v132(constB153)) | (~v139(constB153))) | v139(constB153)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27297,plain,
% 16.90/12.06 ((~v132(constB153)) | (~v139(constB153))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27296, 27295])).
% 16.90/12.06 tff(27298,plain,
% 16.90/12.06 ((~(v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153)))))) | (~v138(constB153)) | (~((~v132(constB153)) | (~v139(constB153))))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27299,plain,
% 16.90/12.06 (~v138(constB153)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27298, 27297, 27233])).
% 16.90/12.06 tff(27300,plain,
% 16.90/12.06 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB153) <=> (~((~v143(constB153)) | (~v144(constB153)))))),
% 16.90/12.06 inference(quant_inst,[status(thm)],[])).
% 16.90/12.06 tff(27301,plain,
% 16.90/12.06 (v142(constB153) <=> (~((~v143(constB153)) | (~v144(constB153))))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27300, 596])).
% 16.90/12.06 tff(27302,plain,
% 16.90/12.06 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB153) <=> (~((~v141(constB153)) | (~v145(constB153)))))),
% 16.90/12.06 inference(quant_inst,[status(thm)],[])).
% 16.90/12.06 tff(27303,plain,
% 16.90/12.06 (v144(constB153) <=> (~((~v141(constB153)) | (~v145(constB153))))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27302, 608])).
% 16.90/12.06 tff(27304,plain,
% 16.90/12.06 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB153) <=> (~(v84(constB153, 1) | v84(constB153, 2) | (~v84(constB153, 0)))))),
% 16.90/12.06 inference(quant_inst,[status(thm)],[])).
% 16.90/12.06 tff(27305,plain,
% 16.90/12.06 (v145(constB153) <=> (~(v84(constB153, 1) | v84(constB153, 2) | (~v84(constB153, 0))))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27304, 755])).
% 16.90/12.06 tff(27306,plain,
% 16.90/12.06 ((v84(constB153, 1) | v84(constB153, 2) | (~v84(constB153, 0))) | (~v84(constB153, 2))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27307,plain,
% 16.90/12.06 (v84(constB153, 1) | v84(constB153, 2) | (~v84(constB153, 0))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27306, 20663])).
% 16.90/12.06 tff(27308,plain,
% 16.90/12.06 ((~(v145(constB153) <=> (~(v84(constB153, 1) | v84(constB153, 2) | (~v84(constB153, 0)))))) | (~v145(constB153)) | (~(v84(constB153, 1) | v84(constB153, 2) | (~v84(constB153, 0))))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27309,plain,
% 16.90/12.06 (~v145(constB153)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27308, 27307, 27305])).
% 16.90/12.06 tff(27310,plain,
% 16.90/12.06 (((~v141(constB153)) | (~v145(constB153))) | v145(constB153)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27311,plain,
% 16.90/12.06 ((~v141(constB153)) | (~v145(constB153))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27310, 27309])).
% 16.90/12.06 tff(27312,plain,
% 16.90/12.06 ((~(v144(constB153) <=> (~((~v141(constB153)) | (~v145(constB153)))))) | (~v144(constB153)) | (~((~v141(constB153)) | (~v145(constB153))))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27313,plain,
% 16.90/12.06 (~v144(constB153)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27312, 27311, 27303])).
% 16.90/12.06 tff(27314,plain,
% 16.90/12.06 (((~v143(constB153)) | (~v144(constB153))) | v144(constB153)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27315,plain,
% 16.90/12.06 ((~v143(constB153)) | (~v144(constB153))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27314, 27313])).
% 16.90/12.06 tff(27316,plain,
% 16.90/12.06 ((~(v142(constB153) <=> (~((~v143(constB153)) | (~v144(constB153)))))) | (~v142(constB153)) | (~((~v143(constB153)) | (~v144(constB153))))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27317,plain,
% 16.90/12.06 (~v142(constB153)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27316, 27315, 27301])).
% 16.90/12.06 tff(27318,plain,
% 16.90/12.06 ((~(v138(constB153) | v142(constB153))) | v138(constB153) | v142(constB153)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27319,plain,
% 16.90/12.06 (~(v138(constB153) | v142(constB153))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27318, 27317, 27299])).
% 16.90/12.06 tff(27320,plain,
% 16.90/12.06 ((~(v135(constB153) <=> (v138(constB153) | v142(constB153)))) | (~v135(constB153)) | (v138(constB153) | v142(constB153))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27321,plain,
% 16.90/12.06 (~v135(constB153)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27320, 27319, 27226])).
% 16.90/12.06 tff(27322,plain,
% 16.90/12.06 ((~(v137(constB154) <=> v135(constB153))) | (~v137(constB154)) | v135(constB153)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27323,plain,
% 16.90/12.06 (~v137(constB154)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27322, 27321, 27224])).
% 16.90/12.06 tff(27324,plain,
% 16.90/12.06 ((~(v132(constB154) <=> v137(constB154))) | (~v132(constB154)) | v137(constB154)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27325,plain,
% 16.90/12.06 (~v132(constB154)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27324, 27323, 27220])).
% 16.90/12.06 tff(27326,plain,
% 16.90/12.06 (((~v132(constB154)) | (~v139(constB154))) | v132(constB154)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27327,plain,
% 16.90/12.06 ((~v132(constB154)) | (~v139(constB154))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27326, 27325])).
% 16.90/12.06 tff(27328,plain,
% 16.90/12.06 ((~(v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154)))))) | (~v138(constB154)) | (~((~v132(constB154)) | (~v139(constB154))))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27329,plain,
% 16.90/12.06 (~v138(constB154)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27328, 27327, 27218])).
% 16.90/12.06 tff(27330,plain,
% 16.90/12.06 ((~(v138(constB154) | v142(constB154))) | v138(constB154) | v142(constB154)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27331,plain,
% 16.90/12.06 (~(v138(constB154) | v142(constB154))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27330, 27329, 27211])).
% 16.90/12.06 tff(27332,plain,
% 16.90/12.06 ((~(v135(constB154) <=> (v138(constB154) | v142(constB154)))) | (~v135(constB154)) | (v138(constB154) | v142(constB154))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27333,plain,
% 16.90/12.06 (~v135(constB154)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27332, 27331, 27186])).
% 16.90/12.06 tff(27334,plain,
% 16.90/12.06 ((~(v137(constB155) <=> v135(constB154))) | (~v137(constB155)) | v135(constB154)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27335,plain,
% 16.90/12.06 (~v137(constB155)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27334, 27333, 27184])).
% 16.90/12.06 tff(27336,plain,
% 16.90/12.06 ((~(v132(constB155) <=> v137(constB155))) | (~v132(constB155)) | v137(constB155)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27337,plain,
% 16.90/12.06 (~v132(constB155)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27336, 27335, 27180])).
% 16.90/12.06 tff(27338,plain,
% 16.90/12.06 (((~v132(constB155)) | (~v155(constB155))) | v132(constB155)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27339,plain,
% 16.90/12.06 ((~v132(constB155)) | (~v155(constB155))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27338, 27337])).
% 16.90/12.06 tff(27340,plain,
% 16.90/12.06 ((~(v154(constB155) <=> (~((~v132(constB155)) | (~v155(constB155)))))) | (~v154(constB155)) | (~((~v132(constB155)) | (~v155(constB155))))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27341,plain,
% 16.90/12.06 (~v154(constB155)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27340, 27339, 27178])).
% 16.90/12.06 tff(27342,plain,
% 16.90/12.06 ((~(v153(constB155) | v154(constB155))) | v153(constB155) | v154(constB155)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27343,plain,
% 16.90/12.06 (~(v153(constB155) | v154(constB155))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27342, 27341, 27171])).
% 16.90/12.06 tff(27344,plain,
% 16.90/12.06 ((~(v150(constB155) <=> (v153(constB155) | v154(constB155)))) | (~v150(constB155)) | (v153(constB155) | v154(constB155))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27345,plain,
% 16.90/12.06 (~v150(constB155)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27344, 27343, 27098])).
% 16.90/12.06 tff(27346,plain,
% 16.90/12.06 ((~(v152(constB156) <=> v150(constB155))) | (~v152(constB156)) | v150(constB155)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27347,plain,
% 16.90/12.06 (~v152(constB156)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27346, 27345, 27096])).
% 16.90/12.06 tff(27348,plain,
% 16.90/12.06 ((~(v130(constB156) <=> v152(constB156))) | (~v130(constB156)) | v152(constB156)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27349,plain,
% 16.90/12.06 (~v130(constB156)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27348, 27347, 27092])).
% 16.90/12.06 tff(27350,plain,
% 16.90/12.06 (((~v130(constB156)) | (~v139(constB156))) | v130(constB156)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27351,plain,
% 16.90/12.06 ((~v130(constB156)) | (~v139(constB156))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27350, 27349])).
% 16.90/12.06 tff(27352,plain,
% 16.90/12.06 ((~(v153(constB156) <=> (~((~v130(constB156)) | (~v139(constB156)))))) | (~v153(constB156)) | (~((~v130(constB156)) | (~v139(constB156))))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27353,plain,
% 16.90/12.06 (~v153(constB156)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27352, 27351, 27090])).
% 16.90/12.06 tff(27354,plain,
% 16.90/12.06 ((~(v153(constB156) | v154(constB156))) | v153(constB156) | v154(constB156)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27355,plain,
% 16.90/12.06 (~(v153(constB156) | v154(constB156))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27354, 27353, 27083])).
% 16.90/12.06 tff(27356,plain,
% 16.90/12.06 ((~(v150(constB156) <=> (v153(constB156) | v154(constB156)))) | (~v150(constB156)) | (v153(constB156) | v154(constB156))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27357,plain,
% 16.90/12.06 (~v150(constB156)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27356, 27355, 27048])).
% 16.90/12.06 tff(27358,plain,
% 16.90/12.06 ((~(v152(constB157) <=> v150(constB156))) | (~v152(constB157)) | v150(constB156)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27359,plain,
% 16.90/12.06 (~v152(constB157)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27358, 27357, 27046])).
% 16.90/12.06 tff(27360,plain,
% 16.90/12.06 ((~(v130(constB157) <=> v152(constB157))) | (~v130(constB157)) | v152(constB157)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27361,plain,
% 16.90/12.06 (~v130(constB157)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27360, 27359, 27042])).
% 16.90/12.06 tff(27362,plain,
% 16.90/12.06 (((~v130(constB157)) | (~v155(constB157))) | v130(constB157)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27363,plain,
% 16.90/12.06 ((~v130(constB157)) | (~v155(constB157))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27362, 27361])).
% 16.90/12.06 tff(27364,plain,
% 16.90/12.06 ((~(v164(constB157) <=> (~((~v130(constB157)) | (~v155(constB157)))))) | (~v164(constB157)) | (~((~v130(constB157)) | (~v155(constB157))))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27365,plain,
% 16.90/12.06 (~v164(constB157)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27364, 27363, 27040])).
% 16.90/12.06 tff(27366,plain,
% 16.90/12.06 ((~(v163(constB157) | v164(constB157))) | v163(constB157) | v164(constB157)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27367,plain,
% 16.90/12.06 (~(v163(constB157) | v164(constB157))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27366, 27365, 27033])).
% 16.90/12.06 tff(27368,plain,
% 16.90/12.06 ((~(v160(constB157) <=> (v163(constB157) | v164(constB157)))) | (~v160(constB157)) | (v163(constB157) | v164(constB157))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27369,plain,
% 16.90/12.06 (~v160(constB157)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27368, 27367, 26960])).
% 16.90/12.06 tff(27370,plain,
% 16.90/12.06 ((~(v162(constB158) <=> v160(constB157))) | (~v162(constB158)) | v160(constB157)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27371,plain,
% 16.90/12.06 (~v162(constB158)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27370, 27369, 26958])).
% 16.90/12.06 tff(27372,plain,
% 16.90/12.06 ((~(v128(constB158) <=> v162(constB158))) | (~v128(constB158)) | v162(constB158)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27373,plain,
% 16.90/12.06 (~v128(constB158)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27372, 27371, 26954])).
% 16.90/12.06 tff(27374,plain,
% 16.90/12.06 (((~v128(constB158)) | (~v139(constB158))) | v128(constB158)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27375,plain,
% 16.90/12.06 ((~v128(constB158)) | (~v139(constB158))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27374, 27373])).
% 16.90/12.06 tff(27376,plain,
% 16.90/12.06 ((~(v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158)))))) | (~v163(constB158)) | (~((~v128(constB158)) | (~v139(constB158))))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27377,plain,
% 16.90/12.06 (~v163(constB158)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27376, 27375, 26952])).
% 16.90/12.06 tff(27378,plain,
% 16.90/12.06 ((~(v163(constB158) | v164(constB158))) | v163(constB158) | v164(constB158)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27379,plain,
% 16.90/12.06 (~(v163(constB158) | v164(constB158))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27378, 27377, 26945])).
% 16.90/12.06 tff(27380,plain,
% 16.90/12.06 ((~(v160(constB158) <=> (v163(constB158) | v164(constB158)))) | (~v160(constB158)) | (v163(constB158) | v164(constB158))),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27381,plain,
% 16.90/12.06 (~v160(constB158)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27380, 27379, 26910])).
% 16.90/12.06 tff(27382,plain,
% 16.90/12.06 ((~(v162(constB159) <=> v160(constB158))) | (~v162(constB159)) | v160(constB158)),
% 16.90/12.06 inference(tautology,[status(thm)],[])).
% 16.90/12.06 tff(27383,plain,
% 16.90/12.06 (~v162(constB159)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27382, 27381, 26908])).
% 16.90/12.06 tff(27384,plain,
% 16.90/12.06 ($false),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27383, 26904])).
% 16.90/12.06 tff(27385,plain,(~(constB159 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.90/12.06 tff(27386,assumption,(constB119 = VarCurr!0), introduced(assumption)).
% 16.90/12.06 tff(27387,plain,
% 16.90/12.06 (v162(constB119) <=> v162(VarCurr!0)),
% 16.90/12.06 inference(monotonicity,[status(thm)],[27386])).
% 16.90/12.06 tff(27388,plain,
% 16.90/12.06 (v162(VarCurr!0) <=> v162(constB119)),
% 16.90/12.06 inference(symmetry,[status(thm)],[27387])).
% 16.90/12.06 tff(27389,plain,
% 16.90/12.06 (v162(constB119)),
% 16.90/12.06 inference(modus_ponens,[status(thm)],[59, 27388])).
% 16.90/12.06 tff(27390,plain,
% 16.90/12.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB118, constB119)) | (v162(constB119) <=> v160(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB118, constB119)) | (v162(constB119) <=> v160(constB118)))),
% 16.90/12.06 inference(rewrite,[status(thm)],[])).
% 16.90/12.06 tff(27391,plain,
% 16.90/12.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB118, constB119)) | (v162(constB119) <=> v160(constB118)))),
% 16.90/12.06 inference(quant_inst,[status(thm)],[])).
% 16.90/12.06 tff(27392,plain,
% 16.90/12.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB118, constB119)) | (v162(constB119) <=> v160(constB118))),
% 16.90/12.06 inference(modus_ponens,[status(thm)],[27391, 27390])).
% 16.90/12.06 tff(27393,plain,
% 16.90/12.06 (v162(constB119) <=> v160(constB118)),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27392, 16015, 70])).
% 16.90/12.06 tff(27394,plain,
% 16.90/12.06 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB118) <=> (v163(constB118) | v164(constB118)))),
% 16.90/12.06 inference(quant_inst,[status(thm)],[])).
% 16.90/12.06 tff(27395,plain,
% 16.90/12.06 (v160(constB118) <=> (v163(constB118) | v164(constB118))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27394, 84])).
% 16.90/12.06 tff(27396,plain,
% 16.90/12.06 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB118) <=> (~((~v130(constB118)) | (~v155(constB118)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB118) <=> (~((~v130(constB118)) | (~v155(constB118))))))),
% 16.90/12.06 inference(rewrite,[status(thm)],[])).
% 16.90/12.06 tff(27397,plain,
% 16.90/12.06 ((v164(constB118) <=> (~((~v155(constB118)) | (~v130(constB118))))) <=> (v164(constB118) <=> (~((~v130(constB118)) | (~v155(constB118)))))),
% 16.90/12.06 inference(rewrite,[status(thm)],[])).
% 16.90/12.06 tff(27398,plain,
% 16.90/12.06 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB118) <=> (~((~v155(constB118)) | (~v130(constB118)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB118) <=> (~((~v130(constB118)) | (~v155(constB118))))))),
% 16.90/12.06 inference(monotonicity,[status(thm)],[27397])).
% 16.90/12.06 tff(27399,plain,
% 16.90/12.06 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB118) <=> (~((~v155(constB118)) | (~v130(constB118)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB118) <=> (~((~v130(constB118)) | (~v155(constB118))))))),
% 16.90/12.06 inference(transitivity,[status(thm)],[27398, 27396])).
% 16.90/12.06 tff(27400,plain,
% 16.90/12.06 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB118) <=> (~((~v155(constB118)) | (~v130(constB118)))))),
% 16.90/12.06 inference(quant_inst,[status(thm)],[])).
% 16.90/12.06 tff(27401,plain,
% 16.90/12.06 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB118) <=> (~((~v130(constB118)) | (~v155(constB118)))))),
% 16.90/12.06 inference(modus_ponens,[status(thm)],[27400, 27399])).
% 16.90/12.06 tff(27402,plain,
% 16.90/12.06 (v164(constB118) <=> (~((~v130(constB118)) | (~v155(constB118))))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27401, 96])).
% 16.90/12.06 tff(27403,plain,
% 16.90/12.06 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB118) <=> (~((~v141(constB118)) | (~v143(constB118)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB118) <=> (~((~v141(constB118)) | (~v143(constB118))))))),
% 16.90/12.06 inference(rewrite,[status(thm)],[])).
% 16.90/12.06 tff(27404,plain,
% 16.90/12.06 ((v155(constB118) <=> (~((~v143(constB118)) | (~v141(constB118))))) <=> (v155(constB118) <=> (~((~v141(constB118)) | (~v143(constB118)))))),
% 16.90/12.06 inference(rewrite,[status(thm)],[])).
% 16.90/12.06 tff(27405,plain,
% 16.90/12.06 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB118) <=> (~((~v143(constB118)) | (~v141(constB118)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB118) <=> (~((~v141(constB118)) | (~v143(constB118))))))),
% 16.90/12.06 inference(monotonicity,[status(thm)],[27404])).
% 16.90/12.06 tff(27406,plain,
% 16.90/12.06 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB118) <=> (~((~v143(constB118)) | (~v141(constB118)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB118) <=> (~((~v141(constB118)) | (~v143(constB118))))))),
% 16.90/12.06 inference(transitivity,[status(thm)],[27405, 27403])).
% 16.90/12.06 tff(27407,plain,
% 16.90/12.06 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB118) <=> (~((~v143(constB118)) | (~v141(constB118)))))),
% 16.90/12.06 inference(quant_inst,[status(thm)],[])).
% 16.90/12.06 tff(27408,plain,
% 16.90/12.06 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB118) <=> (~((~v141(constB118)) | (~v143(constB118)))))),
% 16.90/12.06 inference(modus_ponens,[status(thm)],[27407, 27406])).
% 16.90/12.06 tff(27409,plain,
% 16.90/12.06 (v155(constB118) <=> (~((~v141(constB118)) | (~v143(constB118))))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27408, 113])).
% 16.90/12.06 tff(27410,plain,
% 16.90/12.06 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))),
% 16.90/12.06 inference(quant_inst,[status(thm)],[])).
% 16.90/12.06 tff(27411,plain,
% 16.90/12.06 (v141(constB118) <=> (~((~v39(constB118)) | (~v9(constB118))))),
% 16.90/12.06 inference(unit_resolution,[status(thm)],[27410, 130])).
% 16.90/12.06 tff(27412,plain,
% 16.90/12.06 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB118)) <=> v1(constB118))),
% 16.90/12.06 inference(quant_inst,[status(thm)],[])).
% 16.90/12.06 tff(27413,plain,
% 16.90/12.06 ((~v39(constB118)) <=> v1(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27412, 139])).
% 16.90/12.07 tff(27414,plain,
% 16.90/12.07 ((~((~v39(constB118)) <=> v1(constB118))) | (~v39(constB118)) | (~v1(constB118))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27415,plain,
% 16.90/12.07 ((~((~v39(constB118)) <=> v1(constB118))) | (~v39(constB118))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27414, 17894])).
% 16.90/12.07 tff(27416,plain,
% 16.90/12.07 (~v39(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27415, 27413])).
% 16.90/12.07 tff(27417,plain,
% 16.90/12.07 (((~v39(constB118)) | (~v9(constB118))) | v39(constB118)),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27418,plain,
% 16.90/12.07 ((~v39(constB118)) | (~v9(constB118))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27417, 27416])).
% 16.90/12.07 tff(27419,plain,
% 16.90/12.07 ((~(v141(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))) | (~v141(constB118)) | (~((~v39(constB118)) | (~v9(constB118))))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27420,plain,
% 16.90/12.07 ((~(v141(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))) | (~v141(constB118))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27419, 27418])).
% 16.90/12.07 tff(27421,plain,
% 16.90/12.07 (~v141(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27420, 27411])).
% 16.90/12.07 tff(27422,plain,
% 16.90/12.07 (((~v141(constB118)) | (~v143(constB118))) | v141(constB118)),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27423,plain,
% 16.90/12.07 ((~v141(constB118)) | (~v143(constB118))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27422, 27421])).
% 16.90/12.07 tff(27424,plain,
% 16.90/12.07 ((~(v155(constB118) <=> (~((~v141(constB118)) | (~v143(constB118)))))) | (~v155(constB118)) | (~((~v141(constB118)) | (~v143(constB118))))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27425,plain,
% 16.90/12.07 ((~(v155(constB118) <=> (~((~v141(constB118)) | (~v143(constB118)))))) | (~v155(constB118))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27424, 27423])).
% 16.90/12.07 tff(27426,plain,
% 16.90/12.07 (~v155(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27425, 27409])).
% 16.90/12.07 tff(27427,plain,
% 16.90/12.07 (((~v130(constB118)) | (~v155(constB118))) | v155(constB118)),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27428,plain,
% 16.90/12.07 ((~v130(constB118)) | (~v155(constB118))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27427, 27426])).
% 16.90/12.07 tff(27429,plain,
% 16.90/12.07 ((~(v164(constB118) <=> (~((~v130(constB118)) | (~v155(constB118)))))) | (~v164(constB118)) | (~((~v130(constB118)) | (~v155(constB118))))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27430,plain,
% 16.90/12.07 (~v164(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27429, 27428, 27402])).
% 16.90/12.07 tff(27431,plain,
% 16.90/12.07 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB118) <=> (~((~v128(constB118)) | (~v139(constB118)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB118) <=> (~((~v128(constB118)) | (~v139(constB118))))))),
% 16.90/12.07 inference(rewrite,[status(thm)],[])).
% 16.90/12.07 tff(27432,plain,
% 16.90/12.07 ((v163(constB118) <=> (~((~v139(constB118)) | (~v128(constB118))))) <=> (v163(constB118) <=> (~((~v128(constB118)) | (~v139(constB118)))))),
% 16.90/12.07 inference(rewrite,[status(thm)],[])).
% 16.90/12.07 tff(27433,plain,
% 16.90/12.07 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB118) <=> (~((~v139(constB118)) | (~v128(constB118)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB118) <=> (~((~v128(constB118)) | (~v139(constB118))))))),
% 16.90/12.07 inference(monotonicity,[status(thm)],[27432])).
% 16.90/12.07 tff(27434,plain,
% 16.90/12.07 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB118) <=> (~((~v139(constB118)) | (~v128(constB118)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB118) <=> (~((~v128(constB118)) | (~v139(constB118))))))),
% 16.90/12.07 inference(transitivity,[status(thm)],[27433, 27431])).
% 16.90/12.07 tff(27435,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB118) <=> (~((~v139(constB118)) | (~v128(constB118)))))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27436,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB118) <=> (~((~v128(constB118)) | (~v139(constB118)))))),
% 16.90/12.07 inference(modus_ponens,[status(thm)],[27435, 27434])).
% 16.90/12.07 tff(27437,plain,
% 16.90/12.07 (v163(constB118) <=> (~((~v128(constB118)) | (~v139(constB118))))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27436, 171])).
% 16.90/12.07 tff(27438,plain,
% 16.90/12.07 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB118) <=> v162(constB118))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27439,plain,
% 16.90/12.07 (v128(constB118) <=> v162(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27438, 13])).
% 16.90/12.07 tff(27440,plain,
% 16.90/12.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB117, constB118)) | (v162(constB118) <=> v160(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB117, constB118)) | (v162(constB118) <=> v160(constB117)))),
% 16.90/12.07 inference(rewrite,[status(thm)],[])).
% 16.90/12.07 tff(27441,plain,
% 16.90/12.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB117, constB118)) | (v162(constB118) <=> v160(constB117)))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27442,plain,
% 16.90/12.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB117, constB118)) | (v162(constB118) <=> v160(constB117))),
% 16.90/12.07 inference(modus_ponens,[status(thm)],[27441, 27440])).
% 16.90/12.07 tff(27443,plain,
% 16.90/12.07 (v162(constB118) <=> v160(constB117)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27442, 16051, 70])).
% 16.90/12.07 tff(27444,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB117) <=> (v163(constB117) | v164(constB117)))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27445,plain,
% 16.90/12.07 (v160(constB117) <=> (v163(constB117) | v164(constB117))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27444, 84])).
% 16.90/12.07 tff(27446,plain,
% 16.90/12.07 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB117) <=> (~((~v128(constB117)) | (~v139(constB117)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB117) <=> (~((~v128(constB117)) | (~v139(constB117))))))),
% 16.90/12.07 inference(rewrite,[status(thm)],[])).
% 16.90/12.07 tff(27447,plain,
% 16.90/12.07 ((v163(constB117) <=> (~((~v139(constB117)) | (~v128(constB117))))) <=> (v163(constB117) <=> (~((~v128(constB117)) | (~v139(constB117)))))),
% 16.90/12.07 inference(rewrite,[status(thm)],[])).
% 16.90/12.07 tff(27448,plain,
% 16.90/12.07 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB117) <=> (~((~v139(constB117)) | (~v128(constB117)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB117) <=> (~((~v128(constB117)) | (~v139(constB117))))))),
% 16.90/12.07 inference(monotonicity,[status(thm)],[27447])).
% 16.90/12.07 tff(27449,plain,
% 16.90/12.07 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB117) <=> (~((~v139(constB117)) | (~v128(constB117)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB117) <=> (~((~v128(constB117)) | (~v139(constB117))))))),
% 16.90/12.07 inference(transitivity,[status(thm)],[27448, 27446])).
% 16.90/12.07 tff(27450,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB117) <=> (~((~v139(constB117)) | (~v128(constB117)))))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27451,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB117) <=> (~((~v128(constB117)) | (~v139(constB117)))))),
% 16.90/12.07 inference(modus_ponens,[status(thm)],[27450, 27449])).
% 16.90/12.07 tff(27452,plain,
% 16.90/12.07 (v163(constB117) <=> (~((~v128(constB117)) | (~v139(constB117))))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27451, 171])).
% 16.90/12.07 tff(27453,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB117)) <=> v140(constB117))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27454,plain,
% 16.90/12.07 ((~v139(constB117)) <=> v140(constB117)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27453, 203])).
% 16.90/12.07 tff(27455,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB117) <=> (v141(constB117) | v26(constB117)))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27456,plain,
% 16.90/12.07 (v140(constB117) <=> (v141(constB117) | v26(constB117))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27455, 212])).
% 16.90/12.07 tff(27457,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB117) <=> (~((~v39(constB117)) | (~v9(constB117)))))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27458,plain,
% 16.90/12.07 (v141(constB117) <=> (~((~v39(constB117)) | (~v9(constB117))))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27457, 130])).
% 16.90/12.07 tff(27459,plain,
% 16.90/12.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB117, constB118)) | (v13(constB118) <=> v9(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB117, constB118)) | (v13(constB118) <=> v9(constB117)))),
% 16.90/12.07 inference(rewrite,[status(thm)],[])).
% 16.90/12.07 tff(27460,plain,
% 16.90/12.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB117, constB118)) | (v13(constB118) <=> v9(constB117)))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27461,plain,
% 16.90/12.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB117, constB118)) | (v13(constB118) <=> v9(constB117))),
% 16.90/12.07 inference(modus_ponens,[status(thm)],[27460, 27459])).
% 16.90/12.07 tff(27462,plain,
% 16.90/12.07 (v13(constB118) <=> v9(constB117)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27461, 16051, 226])).
% 16.90/12.07 tff(27463,plain,
% 16.90/12.07 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB118) <=> v13(constB118))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27464,plain,
% 16.90/12.07 (v6(constB118) <=> v13(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27463, 240])).
% 16.90/12.07 tff(27465,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB118)) <=> v6(constB118))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27466,plain,
% 16.90/12.07 ((~v21(constB118)) <=> v6(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27465, 249])).
% 16.90/12.07 tff(27467,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB118) <=> (v20(constB118) | v21(constB118)))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27468,plain,
% 16.90/12.07 (v19(constB118) <=> (v20(constB118) | v21(constB118))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27467, 258])).
% 16.90/12.07 tff(27469,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB118) <=> (~((~v19(constB118)) | (~v22(constB118)))))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27470,plain,
% 16.90/12.07 (v18(constB118) <=> (~((~v19(constB118)) | (~v22(constB118))))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27469, 270])).
% 16.90/12.07 tff(27471,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB118)) <=> v18(constB118))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27472,plain,
% 16.90/12.07 ((~v4(constB118)) <=> v18(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27471, 279])).
% 16.90/12.07 tff(27473,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB118)),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27474,plain,
% 16.90/12.07 (v4(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27473, 288])).
% 16.90/12.07 tff(27475,plain,
% 16.90/12.07 ((~((~v4(constB118)) <=> v18(constB118))) | (~v4(constB118)) | (~v18(constB118))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27476,plain,
% 16.90/12.07 (~v18(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27475, 27474, 27472])).
% 16.90/12.07 tff(27477,plain,
% 16.90/12.07 ((~(v18(constB118) <=> (~((~v19(constB118)) | (~v22(constB118)))))) | v18(constB118) | ((~v19(constB118)) | (~v22(constB118)))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27478,plain,
% 16.90/12.07 ((~v19(constB118)) | (~v22(constB118))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27477, 27476, 27470])).
% 16.90/12.07 tff(27479,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB118) <=> (v1(constB118) | v6(constB118)))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27480,plain,
% 16.90/12.07 (v22(constB118) <=> (v1(constB118) | v6(constB118))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27479, 301])).
% 16.90/12.07 tff(27481,plain,
% 16.90/12.07 ((v1(constB118) | v6(constB118)) | (~v1(constB118))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27482,plain,
% 16.90/12.07 (v1(constB118) | v6(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27481, 17894])).
% 16.90/12.07 tff(27483,plain,
% 16.90/12.07 ((~(v22(constB118) <=> (v1(constB118) | v6(constB118)))) | v22(constB118) | (~(v1(constB118) | v6(constB118)))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27484,plain,
% 16.90/12.07 ((~(v22(constB118) <=> (v1(constB118) | v6(constB118)))) | v22(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27483, 27482])).
% 16.90/12.07 tff(27485,plain,
% 16.90/12.07 (v22(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27484, 27480])).
% 16.90/12.07 tff(27486,plain,
% 16.90/12.07 ((~((~v19(constB118)) | (~v22(constB118)))) | (~v19(constB118)) | (~v22(constB118))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27487,plain,
% 16.90/12.07 ((~((~v19(constB118)) | (~v22(constB118)))) | (~v19(constB118))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27486, 27485])).
% 16.90/12.07 tff(27488,plain,
% 16.90/12.07 (~v19(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27487, 27478])).
% 16.90/12.07 tff(27489,plain,
% 16.90/12.07 ((~(v19(constB118) <=> (v20(constB118) | v21(constB118)))) | v19(constB118) | (~(v20(constB118) | v21(constB118)))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27490,plain,
% 16.90/12.07 (~(v20(constB118) | v21(constB118))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27489, 27488, 27468])).
% 16.90/12.07 tff(27491,plain,
% 16.90/12.07 ((v20(constB118) | v21(constB118)) | (~v21(constB118))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27492,plain,
% 16.90/12.07 (~v21(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27491, 27490])).
% 16.90/12.07 tff(27493,plain,
% 16.90/12.07 ((~((~v21(constB118)) <=> v6(constB118))) | v21(constB118) | v6(constB118)),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27494,plain,
% 16.90/12.07 (v6(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27493, 27492, 27466])).
% 16.90/12.07 tff(27495,plain,
% 16.90/12.07 ((~(v6(constB118) <=> v13(constB118))) | (~v6(constB118)) | v13(constB118)),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27496,plain,
% 16.90/12.07 (v13(constB118)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27495, 27494, 27464])).
% 16.90/12.07 tff(27497,plain,
% 16.90/12.07 ((~(v13(constB118) <=> v9(constB117))) | (~v13(constB118)) | v9(constB117)),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27498,plain,
% 16.90/12.07 (v9(constB117)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27497, 27496, 27462])).
% 16.90/12.07 tff(27499,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB117)) <=> v1(constB117))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27500,plain,
% 16.90/12.07 ((~v39(constB117)) <=> v1(constB117)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27499, 139])).
% 16.90/12.07 tff(27501,plain,
% 16.90/12.07 ((~((~v39(constB117)) <=> v1(constB117))) | v39(constB117) | v1(constB117)),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27502,plain,
% 16.90/12.07 ((~((~v39(constB117)) <=> v1(constB117))) | v39(constB117)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27501, 16090])).
% 16.90/12.07 tff(27503,plain,
% 16.90/12.07 (v39(constB117)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27502, 27500])).
% 16.90/12.07 tff(27504,plain,
% 16.90/12.07 ((~((~v39(constB117)) | (~v9(constB117)))) | (~v39(constB117)) | (~v9(constB117))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27505,plain,
% 16.90/12.07 ((~((~v39(constB117)) | (~v9(constB117)))) | (~v9(constB117))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27504, 27503])).
% 16.90/12.07 tff(27506,plain,
% 16.90/12.07 (~((~v39(constB117)) | (~v9(constB117)))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27505, 27498])).
% 16.90/12.07 tff(27507,plain,
% 16.90/12.07 ((~(v141(constB117) <=> (~((~v39(constB117)) | (~v9(constB117)))))) | v141(constB117) | ((~v39(constB117)) | (~v9(constB117)))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27508,plain,
% 16.90/12.07 (v141(constB117)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27507, 27506, 27458])).
% 16.90/12.07 tff(27509,plain,
% 16.90/12.07 ((v141(constB117) | v26(constB117)) | (~v141(constB117))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27510,plain,
% 16.90/12.07 (v141(constB117) | v26(constB117)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27509, 27508])).
% 16.90/12.07 tff(27511,plain,
% 16.90/12.07 ((~(v140(constB117) <=> (v141(constB117) | v26(constB117)))) | v140(constB117) | (~(v141(constB117) | v26(constB117)))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27512,plain,
% 16.90/12.07 (v140(constB117)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27511, 27510, 27456])).
% 16.90/12.07 tff(27513,plain,
% 16.90/12.07 ((~((~v139(constB117)) <=> v140(constB117))) | (~v139(constB117)) | (~v140(constB117))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27514,plain,
% 16.90/12.07 (~v139(constB117)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27513, 27512, 27454])).
% 16.90/12.07 tff(27515,plain,
% 16.90/12.07 (((~v128(constB117)) | (~v139(constB117))) | v139(constB117)),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27516,plain,
% 16.90/12.07 ((~v128(constB117)) | (~v139(constB117))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27515, 27514])).
% 16.90/12.07 tff(27517,plain,
% 16.90/12.07 ((~(v163(constB117) <=> (~((~v128(constB117)) | (~v139(constB117)))))) | (~v163(constB117)) | (~((~v128(constB117)) | (~v139(constB117))))),
% 16.90/12.07 inference(tautology,[status(thm)],[])).
% 16.90/12.07 tff(27518,plain,
% 16.90/12.07 (~v163(constB117)),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27517, 27516, 27452])).
% 16.90/12.07 tff(27519,plain,
% 16.90/12.07 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB117) <=> (~((~v130(constB117)) | (~v155(constB117)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB117) <=> (~((~v130(constB117)) | (~v155(constB117))))))),
% 16.90/12.07 inference(rewrite,[status(thm)],[])).
% 16.90/12.07 tff(27520,plain,
% 16.90/12.07 ((v164(constB117) <=> (~((~v155(constB117)) | (~v130(constB117))))) <=> (v164(constB117) <=> (~((~v130(constB117)) | (~v155(constB117)))))),
% 16.90/12.07 inference(rewrite,[status(thm)],[])).
% 16.90/12.07 tff(27521,plain,
% 16.90/12.07 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB117) <=> (~((~v155(constB117)) | (~v130(constB117)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB117) <=> (~((~v130(constB117)) | (~v155(constB117))))))),
% 16.90/12.07 inference(monotonicity,[status(thm)],[27520])).
% 16.90/12.07 tff(27522,plain,
% 16.90/12.07 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB117) <=> (~((~v155(constB117)) | (~v130(constB117)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB117) <=> (~((~v130(constB117)) | (~v155(constB117))))))),
% 16.90/12.07 inference(transitivity,[status(thm)],[27521, 27519])).
% 16.90/12.07 tff(27523,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB117) <=> (~((~v155(constB117)) | (~v130(constB117)))))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27524,plain,
% 16.90/12.07 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB117) <=> (~((~v130(constB117)) | (~v155(constB117)))))),
% 16.90/12.07 inference(modus_ponens,[status(thm)],[27523, 27522])).
% 16.90/12.07 tff(27525,plain,
% 16.90/12.07 (v164(constB117) <=> (~((~v130(constB117)) | (~v155(constB117))))),
% 16.90/12.07 inference(unit_resolution,[status(thm)],[27524, 96])).
% 16.90/12.07 tff(27526,plain,
% 16.90/12.07 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB117) <=> v152(constB117))),
% 16.90/12.07 inference(quant_inst,[status(thm)],[])).
% 16.90/12.07 tff(27527,plain,
% 16.90/12.08 (v130(constB117) <=> v152(constB117)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27526, 361])).
% 16.90/12.08 tff(27528,plain,
% 16.90/12.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB116, constB117)) | (v152(constB117) <=> v150(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB116, constB117)) | (v152(constB117) <=> v150(constB116)))),
% 16.90/12.08 inference(rewrite,[status(thm)],[])).
% 16.90/12.08 tff(27529,plain,
% 16.90/12.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB116, constB117)) | (v152(constB117) <=> v150(constB116)))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27530,plain,
% 16.90/12.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB116, constB117)) | (v152(constB117) <=> v150(constB116))),
% 16.90/12.08 inference(modus_ponens,[status(thm)],[27529, 27528])).
% 16.90/12.08 tff(27531,plain,
% 16.90/12.08 (v152(constB117) <=> v150(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27530, 16076, 373])).
% 16.90/12.08 tff(27532,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB116) <=> (v153(constB116) | v154(constB116)))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27533,plain,
% 16.90/12.08 (v150(constB116) <=> (v153(constB116) | v154(constB116))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27532, 387])).
% 16.90/12.08 tff(27534,plain,
% 16.90/12.08 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB116) <=> (~((~v132(constB116)) | (~v155(constB116)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB116) <=> (~((~v132(constB116)) | (~v155(constB116))))))),
% 16.90/12.08 inference(rewrite,[status(thm)],[])).
% 16.90/12.08 tff(27535,plain,
% 16.90/12.08 ((v154(constB116) <=> (~((~v155(constB116)) | (~v132(constB116))))) <=> (v154(constB116) <=> (~((~v132(constB116)) | (~v155(constB116)))))),
% 16.90/12.08 inference(rewrite,[status(thm)],[])).
% 16.90/12.08 tff(27536,plain,
% 16.90/12.08 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB116) <=> (~((~v155(constB116)) | (~v132(constB116)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB116) <=> (~((~v132(constB116)) | (~v155(constB116))))))),
% 16.90/12.08 inference(monotonicity,[status(thm)],[27535])).
% 16.90/12.08 tff(27537,plain,
% 16.90/12.08 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB116) <=> (~((~v155(constB116)) | (~v132(constB116)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB116) <=> (~((~v132(constB116)) | (~v155(constB116))))))),
% 16.90/12.08 inference(transitivity,[status(thm)],[27536, 27534])).
% 16.90/12.08 tff(27538,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB116) <=> (~((~v155(constB116)) | (~v132(constB116)))))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27539,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB116) <=> (~((~v132(constB116)) | (~v155(constB116)))))),
% 16.90/12.08 inference(modus_ponens,[status(thm)],[27538, 27537])).
% 16.90/12.08 tff(27540,plain,
% 16.90/12.08 (v154(constB116) <=> (~((~v132(constB116)) | (~v155(constB116))))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27539, 399])).
% 16.90/12.08 tff(27541,plain,
% 16.90/12.08 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB116) <=> (~((~v141(constB116)) | (~v143(constB116)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB116) <=> (~((~v141(constB116)) | (~v143(constB116))))))),
% 16.90/12.08 inference(rewrite,[status(thm)],[])).
% 16.90/12.08 tff(27542,plain,
% 16.90/12.08 ((v155(constB116) <=> (~((~v143(constB116)) | (~v141(constB116))))) <=> (v155(constB116) <=> (~((~v141(constB116)) | (~v143(constB116)))))),
% 16.90/12.08 inference(rewrite,[status(thm)],[])).
% 16.90/12.08 tff(27543,plain,
% 16.90/12.08 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB116) <=> (~((~v143(constB116)) | (~v141(constB116)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB116) <=> (~((~v141(constB116)) | (~v143(constB116))))))),
% 16.90/12.08 inference(monotonicity,[status(thm)],[27542])).
% 16.90/12.08 tff(27544,plain,
% 16.90/12.08 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB116) <=> (~((~v143(constB116)) | (~v141(constB116)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB116) <=> (~((~v141(constB116)) | (~v143(constB116))))))),
% 16.90/12.08 inference(transitivity,[status(thm)],[27543, 27541])).
% 16.90/12.08 tff(27545,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB116) <=> (~((~v143(constB116)) | (~v141(constB116)))))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27546,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB116) <=> (~((~v141(constB116)) | (~v143(constB116)))))),
% 16.90/12.08 inference(modus_ponens,[status(thm)],[27545, 27544])).
% 16.90/12.08 tff(27547,plain,
% 16.90/12.08 (v155(constB116) <=> (~((~v141(constB116)) | (~v143(constB116))))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27546, 113])).
% 16.90/12.08 tff(27548,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27549,plain,
% 16.90/12.08 (v141(constB116) <=> (~((~v39(constB116)) | (~v9(constB116))))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27548, 130])).
% 16.90/12.08 tff(27550,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB116)) <=> v1(constB116))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27551,plain,
% 16.90/12.08 ((~v39(constB116)) <=> v1(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27550, 139])).
% 16.90/12.08 tff(27552,plain,
% 16.90/12.08 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116)) | (~v1(constB116))),
% 16.90/12.08 inference(tautology,[status(thm)],[])).
% 16.90/12.08 tff(27553,plain,
% 16.90/12.08 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27552, 17757])).
% 16.90/12.08 tff(27554,plain,
% 16.90/12.08 (~v39(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27553, 27551])).
% 16.90/12.08 tff(27555,plain,
% 16.90/12.08 (((~v39(constB116)) | (~v9(constB116))) | v39(constB116)),
% 16.90/12.08 inference(tautology,[status(thm)],[])).
% 16.90/12.08 tff(27556,plain,
% 16.90/12.08 ((~v39(constB116)) | (~v9(constB116))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27555, 27554])).
% 16.90/12.08 tff(27557,plain,
% 16.90/12.08 ((~(v141(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v141(constB116)) | (~((~v39(constB116)) | (~v9(constB116))))),
% 16.90/12.08 inference(tautology,[status(thm)],[])).
% 16.90/12.08 tff(27558,plain,
% 16.90/12.08 ((~(v141(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v141(constB116))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27557, 27556])).
% 16.90/12.08 tff(27559,plain,
% 16.90/12.08 (~v141(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27558, 27549])).
% 16.90/12.08 tff(27560,plain,
% 16.90/12.08 (((~v141(constB116)) | (~v143(constB116))) | v141(constB116)),
% 16.90/12.08 inference(tautology,[status(thm)],[])).
% 16.90/12.08 tff(27561,plain,
% 16.90/12.08 ((~v141(constB116)) | (~v143(constB116))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27560, 27559])).
% 16.90/12.08 tff(27562,plain,
% 16.90/12.08 ((~(v155(constB116) <=> (~((~v141(constB116)) | (~v143(constB116)))))) | (~v155(constB116)) | (~((~v141(constB116)) | (~v143(constB116))))),
% 16.90/12.08 inference(tautology,[status(thm)],[])).
% 16.90/12.08 tff(27563,plain,
% 16.90/12.08 ((~(v155(constB116) <=> (~((~v141(constB116)) | (~v143(constB116)))))) | (~v155(constB116))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27562, 27561])).
% 16.90/12.08 tff(27564,plain,
% 16.90/12.08 (~v155(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27563, 27547])).
% 16.90/12.08 tff(27565,plain,
% 16.90/12.08 (((~v132(constB116)) | (~v155(constB116))) | v155(constB116)),
% 16.90/12.08 inference(tautology,[status(thm)],[])).
% 16.90/12.08 tff(27566,plain,
% 16.90/12.08 ((~v132(constB116)) | (~v155(constB116))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27565, 27564])).
% 16.90/12.08 tff(27567,plain,
% 16.90/12.08 ((~(v154(constB116) <=> (~((~v132(constB116)) | (~v155(constB116)))))) | (~v154(constB116)) | (~((~v132(constB116)) | (~v155(constB116))))),
% 16.90/12.08 inference(tautology,[status(thm)],[])).
% 16.90/12.08 tff(27568,plain,
% 16.90/12.08 (~v154(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27567, 27566, 27540])).
% 16.90/12.08 tff(27569,plain,
% 16.90/12.08 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB116) <=> (~((~v130(constB116)) | (~v139(constB116)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB116) <=> (~((~v130(constB116)) | (~v139(constB116))))))),
% 16.90/12.08 inference(rewrite,[status(thm)],[])).
% 16.90/12.08 tff(27570,plain,
% 16.90/12.08 ((v153(constB116) <=> (~((~v139(constB116)) | (~v130(constB116))))) <=> (v153(constB116) <=> (~((~v130(constB116)) | (~v139(constB116)))))),
% 16.90/12.08 inference(rewrite,[status(thm)],[])).
% 16.90/12.08 tff(27571,plain,
% 16.90/12.08 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB116) <=> (~((~v139(constB116)) | (~v130(constB116)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB116) <=> (~((~v130(constB116)) | (~v139(constB116))))))),
% 16.90/12.08 inference(monotonicity,[status(thm)],[27570])).
% 16.90/12.08 tff(27572,plain,
% 16.90/12.08 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB116) <=> (~((~v139(constB116)) | (~v130(constB116)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB116) <=> (~((~v130(constB116)) | (~v139(constB116))))))),
% 16.90/12.08 inference(transitivity,[status(thm)],[27571, 27569])).
% 16.90/12.08 tff(27573,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB116) <=> (~((~v139(constB116)) | (~v130(constB116)))))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27574,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB116) <=> (~((~v130(constB116)) | (~v139(constB116)))))),
% 16.90/12.08 inference(modus_ponens,[status(thm)],[27573, 27572])).
% 16.90/12.08 tff(27575,plain,
% 16.90/12.08 (v153(constB116) <=> (~((~v130(constB116)) | (~v139(constB116))))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27574, 447])).
% 16.90/12.08 tff(27576,plain,
% 16.90/12.08 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB116) <=> v152(constB116))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27577,plain,
% 16.90/12.08 (v130(constB116) <=> v152(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27576, 361])).
% 16.90/12.08 tff(27578,plain,
% 16.90/12.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB115, constB116)) | (v152(constB116) <=> v150(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB115, constB116)) | (v152(constB116) <=> v150(constB115)))),
% 16.90/12.08 inference(rewrite,[status(thm)],[])).
% 16.90/12.08 tff(27579,plain,
% 16.90/12.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB115, constB116)) | (v152(constB116) <=> v150(constB115)))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27580,plain,
% 16.90/12.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB115, constB116)) | (v152(constB116) <=> v150(constB115))),
% 16.90/12.08 inference(modus_ponens,[status(thm)],[27579, 27578])).
% 16.90/12.08 tff(27581,plain,
% 16.90/12.08 (v152(constB116) <=> v150(constB115)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27580, 16112, 373])).
% 16.90/12.08 tff(27582,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB115) <=> (v153(constB115) | v154(constB115)))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27583,plain,
% 16.90/12.08 (v150(constB115) <=> (v153(constB115) | v154(constB115))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27582, 387])).
% 16.90/12.08 tff(27584,plain,
% 16.90/12.08 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB115) <=> (~((~v130(constB115)) | (~v139(constB115)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB115) <=> (~((~v130(constB115)) | (~v139(constB115))))))),
% 16.90/12.08 inference(rewrite,[status(thm)],[])).
% 16.90/12.08 tff(27585,plain,
% 16.90/12.08 ((v153(constB115) <=> (~((~v139(constB115)) | (~v130(constB115))))) <=> (v153(constB115) <=> (~((~v130(constB115)) | (~v139(constB115)))))),
% 16.90/12.08 inference(rewrite,[status(thm)],[])).
% 16.90/12.08 tff(27586,plain,
% 16.90/12.08 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB115) <=> (~((~v139(constB115)) | (~v130(constB115)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB115) <=> (~((~v130(constB115)) | (~v139(constB115))))))),
% 16.90/12.08 inference(monotonicity,[status(thm)],[27585])).
% 16.90/12.08 tff(27587,plain,
% 16.90/12.08 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB115) <=> (~((~v139(constB115)) | (~v130(constB115)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB115) <=> (~((~v130(constB115)) | (~v139(constB115))))))),
% 16.90/12.08 inference(transitivity,[status(thm)],[27586, 27584])).
% 16.90/12.08 tff(27588,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB115) <=> (~((~v139(constB115)) | (~v130(constB115)))))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27589,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB115) <=> (~((~v130(constB115)) | (~v139(constB115)))))),
% 16.90/12.08 inference(modus_ponens,[status(thm)],[27588, 27587])).
% 16.90/12.08 tff(27590,plain,
% 16.90/12.08 (v153(constB115) <=> (~((~v130(constB115)) | (~v139(constB115))))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27589, 447])).
% 16.90/12.08 tff(27591,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB115)) <=> v140(constB115))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27592,plain,
% 16.90/12.08 ((~v139(constB115)) <=> v140(constB115)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27591, 203])).
% 16.90/12.08 tff(27593,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB115) <=> (v141(constB115) | v26(constB115)))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27594,plain,
% 16.90/12.08 (v140(constB115) <=> (v141(constB115) | v26(constB115))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27593, 212])).
% 16.90/12.08 tff(27595,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB115) <=> (~((~v39(constB115)) | (~v9(constB115)))))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27596,plain,
% 16.90/12.08 (v141(constB115) <=> (~((~v39(constB115)) | (~v9(constB115))))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27595, 130])).
% 16.90/12.08 tff(27597,plain,
% 16.90/12.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115)))),
% 16.90/12.08 inference(rewrite,[status(thm)],[])).
% 16.90/12.08 tff(27598,plain,
% 16.90/12.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115)))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27599,plain,
% 16.90/12.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115))),
% 16.90/12.08 inference(modus_ponens,[status(thm)],[27598, 27597])).
% 16.90/12.08 tff(27600,plain,
% 16.90/12.08 (v13(constB116) <=> v9(constB115)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27599, 16112, 226])).
% 16.90/12.08 tff(27601,plain,
% 16.90/12.08 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB116) <=> v13(constB116))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27602,plain,
% 16.90/12.08 (v6(constB116) <=> v13(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27601, 240])).
% 16.90/12.08 tff(27603,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB116)) <=> v6(constB116))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27604,plain,
% 16.90/12.08 ((~v21(constB116)) <=> v6(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27603, 249])).
% 16.90/12.08 tff(27605,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB116) <=> (v20(constB116) | v21(constB116)))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27606,plain,
% 16.90/12.08 (v19(constB116) <=> (v20(constB116) | v21(constB116))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27605, 258])).
% 16.90/12.08 tff(27607,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116)))))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27608,plain,
% 16.90/12.08 (v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116))))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27607, 270])).
% 16.90/12.08 tff(27609,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB116)) <=> v18(constB116))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27610,plain,
% 16.90/12.08 ((~v4(constB116)) <=> v18(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27609, 279])).
% 16.90/12.08 tff(27611,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB116)),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27612,plain,
% 16.90/12.08 (v4(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27611, 288])).
% 16.90/12.08 tff(27613,plain,
% 16.90/12.08 ((~((~v4(constB116)) <=> v18(constB116))) | (~v4(constB116)) | (~v18(constB116))),
% 16.90/12.08 inference(tautology,[status(thm)],[])).
% 16.90/12.08 tff(27614,plain,
% 16.90/12.08 (~v18(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27613, 27612, 27610])).
% 16.90/12.08 tff(27615,plain,
% 16.90/12.08 ((~(v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116)))))) | v18(constB116) | ((~v19(constB116)) | (~v22(constB116)))),
% 16.90/12.08 inference(tautology,[status(thm)],[])).
% 16.90/12.08 tff(27616,plain,
% 16.90/12.08 ((~v19(constB116)) | (~v22(constB116))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27615, 27614, 27608])).
% 16.90/12.08 tff(27617,plain,
% 16.90/12.08 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB116) <=> (v1(constB116) | v6(constB116)))),
% 16.90/12.08 inference(quant_inst,[status(thm)],[])).
% 16.90/12.08 tff(27618,plain,
% 16.90/12.08 (v22(constB116) <=> (v1(constB116) | v6(constB116))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27617, 301])).
% 16.90/12.08 tff(27619,plain,
% 16.90/12.08 ((v1(constB116) | v6(constB116)) | (~v1(constB116))),
% 16.90/12.08 inference(tautology,[status(thm)],[])).
% 16.90/12.08 tff(27620,plain,
% 16.90/12.08 (v1(constB116) | v6(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27619, 17757])).
% 16.90/12.08 tff(27621,plain,
% 16.90/12.08 ((~(v22(constB116) <=> (v1(constB116) | v6(constB116)))) | v22(constB116) | (~(v1(constB116) | v6(constB116)))),
% 16.90/12.08 inference(tautology,[status(thm)],[])).
% 16.90/12.08 tff(27622,plain,
% 16.90/12.08 ((~(v22(constB116) <=> (v1(constB116) | v6(constB116)))) | v22(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27621, 27620])).
% 16.90/12.08 tff(27623,plain,
% 16.90/12.08 (v22(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27622, 27618])).
% 16.90/12.08 tff(27624,plain,
% 16.90/12.08 ((~((~v19(constB116)) | (~v22(constB116)))) | (~v19(constB116)) | (~v22(constB116))),
% 16.90/12.08 inference(tautology,[status(thm)],[])).
% 16.90/12.08 tff(27625,plain,
% 16.90/12.08 ((~((~v19(constB116)) | (~v22(constB116)))) | (~v19(constB116))),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27624, 27623])).
% 16.90/12.08 tff(27626,plain,
% 16.90/12.08 (~v19(constB116)),
% 16.90/12.08 inference(unit_resolution,[status(thm)],[27625, 27616])).
% 16.90/12.08 tff(27627,plain,
% 16.90/12.08 ((~(v19(constB116) <=> (v20(constB116) | v21(constB116)))) | v19(constB116) | (~(v20(constB116) | v21(constB116)))),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27628,plain,
% 16.90/12.09 (~(v20(constB116) | v21(constB116))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27627, 27626, 27606])).
% 16.90/12.09 tff(27629,plain,
% 16.90/12.09 ((v20(constB116) | v21(constB116)) | (~v21(constB116))),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27630,plain,
% 16.90/12.09 (~v21(constB116)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27629, 27628])).
% 16.90/12.09 tff(27631,plain,
% 16.90/12.09 ((~((~v21(constB116)) <=> v6(constB116))) | v21(constB116) | v6(constB116)),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27632,plain,
% 16.90/12.09 (v6(constB116)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27631, 27630, 27604])).
% 16.90/12.09 tff(27633,plain,
% 16.90/12.09 ((~(v6(constB116) <=> v13(constB116))) | (~v6(constB116)) | v13(constB116)),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27634,plain,
% 16.90/12.09 (v13(constB116)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27633, 27632, 27602])).
% 16.90/12.09 tff(27635,plain,
% 16.90/12.09 ((~(v13(constB116) <=> v9(constB115))) | (~v13(constB116)) | v9(constB115)),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27636,plain,
% 16.90/12.09 (v9(constB115)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27635, 27634, 27600])).
% 16.90/12.09 tff(27637,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB115)) <=> v1(constB115))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27638,plain,
% 16.90/12.09 ((~v39(constB115)) <=> v1(constB115)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27637, 139])).
% 16.90/12.09 tff(27639,plain,
% 16.90/12.09 ((~((~v39(constB115)) <=> v1(constB115))) | v39(constB115) | v1(constB115)),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27640,plain,
% 16.90/12.09 ((~((~v39(constB115)) <=> v1(constB115))) | v39(constB115)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27639, 16151])).
% 16.90/12.09 tff(27641,plain,
% 16.90/12.09 (v39(constB115)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27640, 27638])).
% 16.90/12.09 tff(27642,plain,
% 16.90/12.09 ((~((~v39(constB115)) | (~v9(constB115)))) | (~v39(constB115)) | (~v9(constB115))),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27643,plain,
% 16.90/12.09 ((~((~v39(constB115)) | (~v9(constB115)))) | (~v9(constB115))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27642, 27641])).
% 16.90/12.09 tff(27644,plain,
% 16.90/12.09 (~((~v39(constB115)) | (~v9(constB115)))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27643, 27636])).
% 16.90/12.09 tff(27645,plain,
% 16.90/12.09 ((~(v141(constB115) <=> (~((~v39(constB115)) | (~v9(constB115)))))) | v141(constB115) | ((~v39(constB115)) | (~v9(constB115)))),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27646,plain,
% 16.90/12.09 (v141(constB115)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27645, 27644, 27596])).
% 16.90/12.09 tff(27647,plain,
% 16.90/12.09 ((v141(constB115) | v26(constB115)) | (~v141(constB115))),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27648,plain,
% 16.90/12.09 (v141(constB115) | v26(constB115)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27647, 27646])).
% 16.90/12.09 tff(27649,plain,
% 16.90/12.09 ((~(v140(constB115) <=> (v141(constB115) | v26(constB115)))) | v140(constB115) | (~(v141(constB115) | v26(constB115)))),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27650,plain,
% 16.90/12.09 (v140(constB115)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27649, 27648, 27594])).
% 16.90/12.09 tff(27651,plain,
% 16.90/12.09 ((~((~v139(constB115)) <=> v140(constB115))) | (~v139(constB115)) | (~v140(constB115))),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27652,plain,
% 16.90/12.09 (~v139(constB115)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27651, 27650, 27592])).
% 16.90/12.09 tff(27653,plain,
% 16.90/12.09 (((~v130(constB115)) | (~v139(constB115))) | v139(constB115)),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27654,plain,
% 16.90/12.09 ((~v130(constB115)) | (~v139(constB115))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27653, 27652])).
% 16.90/12.09 tff(27655,plain,
% 16.90/12.09 ((~(v153(constB115) <=> (~((~v130(constB115)) | (~v139(constB115)))))) | (~v153(constB115)) | (~((~v130(constB115)) | (~v139(constB115))))),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27656,plain,
% 16.90/12.09 (~v153(constB115)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27655, 27654, 27590])).
% 16.90/12.09 tff(27657,plain,
% 16.90/12.09 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB115) <=> (~((~v132(constB115)) | (~v155(constB115)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB115) <=> (~((~v132(constB115)) | (~v155(constB115))))))),
% 16.90/12.09 inference(rewrite,[status(thm)],[])).
% 16.90/12.09 tff(27658,plain,
% 16.90/12.09 ((v154(constB115) <=> (~((~v155(constB115)) | (~v132(constB115))))) <=> (v154(constB115) <=> (~((~v132(constB115)) | (~v155(constB115)))))),
% 16.90/12.09 inference(rewrite,[status(thm)],[])).
% 16.90/12.09 tff(27659,plain,
% 16.90/12.09 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB115) <=> (~((~v155(constB115)) | (~v132(constB115)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB115) <=> (~((~v132(constB115)) | (~v155(constB115))))))),
% 16.90/12.09 inference(monotonicity,[status(thm)],[27658])).
% 16.90/12.09 tff(27660,plain,
% 16.90/12.09 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB115) <=> (~((~v155(constB115)) | (~v132(constB115)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB115) <=> (~((~v132(constB115)) | (~v155(constB115))))))),
% 16.90/12.09 inference(transitivity,[status(thm)],[27659, 27657])).
% 16.90/12.09 tff(27661,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB115) <=> (~((~v155(constB115)) | (~v132(constB115)))))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27662,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB115) <=> (~((~v132(constB115)) | (~v155(constB115)))))),
% 16.90/12.09 inference(modus_ponens,[status(thm)],[27661, 27660])).
% 16.90/12.09 tff(27663,plain,
% 16.90/12.09 (v154(constB115) <=> (~((~v132(constB115)) | (~v155(constB115))))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27662, 399])).
% 16.90/12.09 tff(27664,plain,
% 16.90/12.09 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB115) <=> v137(constB115))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27665,plain,
% 16.90/12.09 (v132(constB115) <=> v137(constB115)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27664, 558])).
% 16.90/12.09 tff(27666,plain,
% 16.90/12.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB114, constB115)) | (v137(constB115) <=> v135(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB114, constB115)) | (v137(constB115) <=> v135(constB114)))),
% 16.90/12.09 inference(rewrite,[status(thm)],[])).
% 16.90/12.09 tff(27667,plain,
% 16.90/12.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB114, constB115)) | (v137(constB115) <=> v135(constB114)))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27668,plain,
% 16.90/12.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB114, constB115)) | (v137(constB115) <=> v135(constB114))),
% 16.90/12.09 inference(modus_ponens,[status(thm)],[27667, 27666])).
% 16.90/12.09 tff(27669,plain,
% 16.90/12.09 (v137(constB115) <=> v135(constB114)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27668, 16137, 570])).
% 16.90/12.09 tff(27670,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB114) <=> (v138(constB114) | v142(constB114)))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27671,plain,
% 16.90/12.09 (v135(constB114) <=> (v138(constB114) | v142(constB114))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27670, 584])).
% 16.90/12.09 tff(27672,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB114) <=> (~((~v143(constB114)) | (~v144(constB114)))))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27673,plain,
% 16.90/12.09 (v142(constB114) <=> (~((~v143(constB114)) | (~v144(constB114))))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27672, 596])).
% 16.90/12.09 tff(27674,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB114) <=> (~((~v141(constB114)) | (~v145(constB114)))))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27675,plain,
% 16.90/12.09 (v144(constB114) <=> (~((~v141(constB114)) | (~v145(constB114))))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27674, 608])).
% 16.90/12.09 tff(27676,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB114) <=> (~((~v39(constB114)) | (~v9(constB114)))))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27677,plain,
% 16.90/12.09 (v141(constB114) <=> (~((~v39(constB114)) | (~v9(constB114))))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27676, 130])).
% 16.90/12.09 tff(27678,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB114)) <=> v1(constB114))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27679,plain,
% 16.90/12.09 ((~v39(constB114)) <=> v1(constB114)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27678, 139])).
% 16.90/12.09 tff(27680,plain,
% 16.90/12.09 ((~((~v39(constB114)) <=> v1(constB114))) | (~v39(constB114)) | (~v1(constB114))),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27681,plain,
% 16.90/12.09 ((~((~v39(constB114)) <=> v1(constB114))) | (~v39(constB114))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27680, 17563])).
% 16.90/12.09 tff(27682,plain,
% 16.90/12.09 (~v39(constB114)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27681, 27679])).
% 16.90/12.09 tff(27683,plain,
% 16.90/12.09 (((~v39(constB114)) | (~v9(constB114))) | v39(constB114)),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27684,plain,
% 16.90/12.09 ((~v39(constB114)) | (~v9(constB114))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27683, 27682])).
% 16.90/12.09 tff(27685,plain,
% 16.90/12.09 ((~(v141(constB114) <=> (~((~v39(constB114)) | (~v9(constB114)))))) | (~v141(constB114)) | (~((~v39(constB114)) | (~v9(constB114))))),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27686,plain,
% 16.90/12.09 ((~(v141(constB114) <=> (~((~v39(constB114)) | (~v9(constB114)))))) | (~v141(constB114))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27685, 27684])).
% 16.90/12.09 tff(27687,plain,
% 16.90/12.09 (~v141(constB114)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27686, 27677])).
% 16.90/12.09 tff(27688,plain,
% 16.90/12.09 (((~v141(constB114)) | (~v145(constB114))) | v141(constB114)),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27689,plain,
% 16.90/12.09 ((~v141(constB114)) | (~v145(constB114))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27688, 27687])).
% 16.90/12.09 tff(27690,plain,
% 16.90/12.09 ((~(v144(constB114) <=> (~((~v141(constB114)) | (~v145(constB114)))))) | (~v144(constB114)) | (~((~v141(constB114)) | (~v145(constB114))))),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27691,plain,
% 16.90/12.09 ((~(v144(constB114) <=> (~((~v141(constB114)) | (~v145(constB114)))))) | (~v144(constB114))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27690, 27689])).
% 16.90/12.09 tff(27692,plain,
% 16.90/12.09 (~v144(constB114)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27691, 27675])).
% 16.90/12.09 tff(27693,plain,
% 16.90/12.09 (((~v143(constB114)) | (~v144(constB114))) | v144(constB114)),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27694,plain,
% 16.90/12.09 ((~v143(constB114)) | (~v144(constB114))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27693, 27692])).
% 16.90/12.09 tff(27695,plain,
% 16.90/12.09 ((~(v142(constB114) <=> (~((~v143(constB114)) | (~v144(constB114)))))) | (~v142(constB114)) | (~((~v143(constB114)) | (~v144(constB114))))),
% 16.90/12.09 inference(tautology,[status(thm)],[])).
% 16.90/12.09 tff(27696,plain,
% 16.90/12.09 (~v142(constB114)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27695, 27694, 27673])).
% 16.90/12.09 tff(27697,plain,
% 16.90/12.09 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB114) <=> (~((~v132(constB114)) | (~v139(constB114)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB114) <=> (~((~v132(constB114)) | (~v139(constB114))))))),
% 16.90/12.09 inference(rewrite,[status(thm)],[])).
% 16.90/12.09 tff(27698,plain,
% 16.90/12.09 ((v138(constB114) <=> (~((~v139(constB114)) | (~v132(constB114))))) <=> (v138(constB114) <=> (~((~v132(constB114)) | (~v139(constB114)))))),
% 16.90/12.09 inference(rewrite,[status(thm)],[])).
% 16.90/12.09 tff(27699,plain,
% 16.90/12.09 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB114) <=> (~((~v139(constB114)) | (~v132(constB114)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB114) <=> (~((~v132(constB114)) | (~v139(constB114))))))),
% 16.90/12.09 inference(monotonicity,[status(thm)],[27698])).
% 16.90/12.09 tff(27700,plain,
% 16.90/12.09 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB114) <=> (~((~v139(constB114)) | (~v132(constB114)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB114) <=> (~((~v132(constB114)) | (~v139(constB114))))))),
% 16.90/12.09 inference(transitivity,[status(thm)],[27699, 27697])).
% 16.90/12.09 tff(27701,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB114) <=> (~((~v139(constB114)) | (~v132(constB114)))))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27702,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB114) <=> (~((~v132(constB114)) | (~v139(constB114)))))),
% 16.90/12.09 inference(modus_ponens,[status(thm)],[27701, 27700])).
% 16.90/12.09 tff(27703,plain,
% 16.90/12.09 (v138(constB114) <=> (~((~v132(constB114)) | (~v139(constB114))))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27702, 644])).
% 16.90/12.09 tff(27704,plain,
% 16.90/12.09 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB114) <=> v137(constB114))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27705,plain,
% 16.90/12.09 (v132(constB114) <=> v137(constB114)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27704, 558])).
% 16.90/12.09 tff(27706,plain,
% 16.90/12.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB113, constB114)) | (v137(constB114) <=> v135(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB113, constB114)) | (v137(constB114) <=> v135(constB113)))),
% 16.90/12.09 inference(rewrite,[status(thm)],[])).
% 16.90/12.09 tff(27707,plain,
% 16.90/12.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB113, constB114)) | (v137(constB114) <=> v135(constB113)))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27708,plain,
% 16.90/12.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB113, constB114)) | (v137(constB114) <=> v135(constB113))),
% 16.90/12.09 inference(modus_ponens,[status(thm)],[27707, 27706])).
% 16.90/12.09 tff(27709,plain,
% 16.90/12.09 (v137(constB114) <=> v135(constB113)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27708, 16173, 570])).
% 16.90/12.09 tff(27710,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB113) <=> (v138(constB113) | v142(constB113)))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27711,plain,
% 16.90/12.09 (v135(constB113) <=> (v138(constB113) | v142(constB113))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27710, 584])).
% 16.90/12.09 tff(27712,plain,
% 16.90/12.09 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB113) <=> (~((~v132(constB113)) | (~v139(constB113)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB113) <=> (~((~v132(constB113)) | (~v139(constB113))))))),
% 16.90/12.09 inference(rewrite,[status(thm)],[])).
% 16.90/12.09 tff(27713,plain,
% 16.90/12.09 ((v138(constB113) <=> (~((~v139(constB113)) | (~v132(constB113))))) <=> (v138(constB113) <=> (~((~v132(constB113)) | (~v139(constB113)))))),
% 16.90/12.09 inference(rewrite,[status(thm)],[])).
% 16.90/12.09 tff(27714,plain,
% 16.90/12.09 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB113) <=> (~((~v139(constB113)) | (~v132(constB113)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB113) <=> (~((~v132(constB113)) | (~v139(constB113))))))),
% 16.90/12.09 inference(monotonicity,[status(thm)],[27713])).
% 16.90/12.09 tff(27715,plain,
% 16.90/12.09 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB113) <=> (~((~v139(constB113)) | (~v132(constB113)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB113) <=> (~((~v132(constB113)) | (~v139(constB113))))))),
% 16.90/12.09 inference(transitivity,[status(thm)],[27714, 27712])).
% 16.90/12.09 tff(27716,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB113) <=> (~((~v139(constB113)) | (~v132(constB113)))))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27717,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB113) <=> (~((~v132(constB113)) | (~v139(constB113)))))),
% 16.90/12.09 inference(modus_ponens,[status(thm)],[27716, 27715])).
% 16.90/12.09 tff(27718,plain,
% 16.90/12.09 (v138(constB113) <=> (~((~v132(constB113)) | (~v139(constB113))))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27717, 644])).
% 16.90/12.09 tff(27719,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB113)) <=> v140(constB113))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27720,plain,
% 16.90/12.09 ((~v139(constB113)) <=> v140(constB113)),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27719, 203])).
% 16.90/12.09 tff(27721,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB113) <=> (v141(constB113) | v26(constB113)))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27722,plain,
% 16.90/12.09 (v140(constB113) <=> (v141(constB113) | v26(constB113))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27721, 212])).
% 16.90/12.09 tff(27723,plain,
% 16.90/12.09 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB113) <=> (~((~v39(constB113)) | (~v9(constB113)))))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27724,plain,
% 16.90/12.09 (v141(constB113) <=> (~((~v39(constB113)) | (~v9(constB113))))),
% 16.90/12.09 inference(unit_resolution,[status(thm)],[27723, 130])).
% 16.90/12.09 tff(27725,plain,
% 16.90/12.09 (((~![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)))),
% 16.90/12.09 inference(rewrite,[status(thm)],[])).
% 16.90/12.09 tff(27726,plain,
% 16.90/12.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113)))),
% 16.90/12.09 inference(quant_inst,[status(thm)],[])).
% 16.90/12.09 tff(27727,plain,
% 16.90/12.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB113, constB114)) | (v13(constB114) <=> v9(constB113))),
% 16.90/12.09 inference(modus_ponens,[status(thm)],[27726, 27725])).
% 16.90/12.10 tff(27728,plain,
% 16.90/12.10 (v13(constB114) <=> v9(constB113)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27727, 16173, 226])).
% 16.90/12.10 tff(27729,plain,
% 16.90/12.10 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB114) <=> v13(constB114))),
% 16.90/12.10 inference(quant_inst,[status(thm)],[])).
% 16.90/12.10 tff(27730,plain,
% 16.90/12.10 (v6(constB114) <=> v13(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27729, 240])).
% 16.90/12.10 tff(27731,plain,
% 16.90/12.10 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB114)) <=> v6(constB114))),
% 16.90/12.10 inference(quant_inst,[status(thm)],[])).
% 16.90/12.10 tff(27732,plain,
% 16.90/12.10 ((~v21(constB114)) <=> v6(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27731, 249])).
% 16.90/12.10 tff(27733,plain,
% 16.90/12.10 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB114) <=> (v20(constB114) | v21(constB114)))),
% 16.90/12.10 inference(quant_inst,[status(thm)],[])).
% 16.90/12.10 tff(27734,plain,
% 16.90/12.10 (v19(constB114) <=> (v20(constB114) | v21(constB114))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27733, 258])).
% 16.90/12.10 tff(27735,plain,
% 16.90/12.10 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB114) <=> (~((~v19(constB114)) | (~v22(constB114)))))),
% 16.90/12.10 inference(quant_inst,[status(thm)],[])).
% 16.90/12.10 tff(27736,plain,
% 16.90/12.10 (v18(constB114) <=> (~((~v19(constB114)) | (~v22(constB114))))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27735, 270])).
% 16.90/12.10 tff(27737,plain,
% 16.90/12.10 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB114)) <=> v18(constB114))),
% 16.90/12.10 inference(quant_inst,[status(thm)],[])).
% 16.90/12.10 tff(27738,plain,
% 16.90/12.10 ((~v4(constB114)) <=> v18(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27737, 279])).
% 16.90/12.10 tff(27739,plain,
% 16.90/12.10 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB114)),
% 16.90/12.10 inference(quant_inst,[status(thm)],[])).
% 16.90/12.10 tff(27740,plain,
% 16.90/12.10 (v4(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27739, 288])).
% 16.90/12.10 tff(27741,plain,
% 16.90/12.10 ((~((~v4(constB114)) <=> v18(constB114))) | (~v4(constB114)) | (~v18(constB114))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27742,plain,
% 16.90/12.10 (~v18(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27741, 27740, 27738])).
% 16.90/12.10 tff(27743,plain,
% 16.90/12.10 ((~(v18(constB114) <=> (~((~v19(constB114)) | (~v22(constB114)))))) | v18(constB114) | ((~v19(constB114)) | (~v22(constB114)))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27744,plain,
% 16.90/12.10 ((~v19(constB114)) | (~v22(constB114))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27743, 27742, 27736])).
% 16.90/12.10 tff(27745,plain,
% 16.90/12.10 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB114) <=> (v1(constB114) | v6(constB114)))),
% 16.90/12.10 inference(quant_inst,[status(thm)],[])).
% 16.90/12.10 tff(27746,plain,
% 16.90/12.10 (v22(constB114) <=> (v1(constB114) | v6(constB114))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27745, 301])).
% 16.90/12.10 tff(27747,plain,
% 16.90/12.10 ((v1(constB114) | v6(constB114)) | (~v1(constB114))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27748,plain,
% 16.90/12.10 (v1(constB114) | v6(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27747, 17563])).
% 16.90/12.10 tff(27749,plain,
% 16.90/12.10 ((~(v22(constB114) <=> (v1(constB114) | v6(constB114)))) | v22(constB114) | (~(v1(constB114) | v6(constB114)))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27750,plain,
% 16.90/12.10 ((~(v22(constB114) <=> (v1(constB114) | v6(constB114)))) | v22(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27749, 27748])).
% 16.90/12.10 tff(27751,plain,
% 16.90/12.10 (v22(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27750, 27746])).
% 16.90/12.10 tff(27752,plain,
% 16.90/12.10 ((~((~v19(constB114)) | (~v22(constB114)))) | (~v19(constB114)) | (~v22(constB114))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27753,plain,
% 16.90/12.10 ((~((~v19(constB114)) | (~v22(constB114)))) | (~v19(constB114))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27752, 27751])).
% 16.90/12.10 tff(27754,plain,
% 16.90/12.10 (~v19(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27753, 27744])).
% 16.90/12.10 tff(27755,plain,
% 16.90/12.10 ((~(v19(constB114) <=> (v20(constB114) | v21(constB114)))) | v19(constB114) | (~(v20(constB114) | v21(constB114)))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27756,plain,
% 16.90/12.10 (~(v20(constB114) | v21(constB114))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27755, 27754, 27734])).
% 16.90/12.10 tff(27757,plain,
% 16.90/12.10 ((v20(constB114) | v21(constB114)) | (~v21(constB114))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27758,plain,
% 16.90/12.10 (~v21(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27757, 27756])).
% 16.90/12.10 tff(27759,plain,
% 16.90/12.10 ((~((~v21(constB114)) <=> v6(constB114))) | v21(constB114) | v6(constB114)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27760,plain,
% 16.90/12.10 (v6(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27759, 27758, 27732])).
% 16.90/12.10 tff(27761,plain,
% 16.90/12.10 ((~(v6(constB114) <=> v13(constB114))) | (~v6(constB114)) | v13(constB114)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27762,plain,
% 16.90/12.10 (v13(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27761, 27760, 27730])).
% 16.90/12.10 tff(27763,plain,
% 16.90/12.10 ((~(v13(constB114) <=> v9(constB113))) | (~v13(constB114)) | v9(constB113)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27764,plain,
% 16.90/12.10 (v9(constB113)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27763, 27762, 27728])).
% 16.90/12.10 tff(27765,plain,
% 16.90/12.10 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB113)) <=> v1(constB113))),
% 16.90/12.10 inference(quant_inst,[status(thm)],[])).
% 16.90/12.10 tff(27766,plain,
% 16.90/12.10 ((~v39(constB113)) <=> v1(constB113)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27765, 139])).
% 16.90/12.10 tff(27767,plain,
% 16.90/12.10 ((~((~v39(constB113)) <=> v1(constB113))) | v39(constB113) | v1(constB113)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27768,plain,
% 16.90/12.10 ((~((~v39(constB113)) <=> v1(constB113))) | v39(constB113)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27767, 16217])).
% 16.90/12.10 tff(27769,plain,
% 16.90/12.10 (v39(constB113)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27768, 27766])).
% 16.90/12.10 tff(27770,plain,
% 16.90/12.10 ((~((~v39(constB113)) | (~v9(constB113)))) | (~v39(constB113)) | (~v9(constB113))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27771,plain,
% 16.90/12.10 ((~((~v39(constB113)) | (~v9(constB113)))) | (~v9(constB113))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27770, 27769])).
% 16.90/12.10 tff(27772,plain,
% 16.90/12.10 (~((~v39(constB113)) | (~v9(constB113)))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27771, 27764])).
% 16.90/12.10 tff(27773,plain,
% 16.90/12.10 ((~(v141(constB113) <=> (~((~v39(constB113)) | (~v9(constB113)))))) | v141(constB113) | ((~v39(constB113)) | (~v9(constB113)))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27774,plain,
% 16.90/12.10 (v141(constB113)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27773, 27772, 27724])).
% 16.90/12.10 tff(27775,plain,
% 16.90/12.10 ((v141(constB113) | v26(constB113)) | (~v141(constB113))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27776,plain,
% 16.90/12.10 (v141(constB113) | v26(constB113)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27775, 27774])).
% 16.90/12.10 tff(27777,plain,
% 16.90/12.10 ((~(v140(constB113) <=> (v141(constB113) | v26(constB113)))) | v140(constB113) | (~(v141(constB113) | v26(constB113)))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27778,plain,
% 16.90/12.10 (v140(constB113)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27777, 27776, 27722])).
% 16.90/12.10 tff(27779,plain,
% 16.90/12.10 ((~((~v139(constB113)) <=> v140(constB113))) | (~v139(constB113)) | (~v140(constB113))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27780,plain,
% 16.90/12.10 (~v139(constB113)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27779, 27778, 27720])).
% 16.90/12.10 tff(27781,plain,
% 16.90/12.10 (((~v132(constB113)) | (~v139(constB113))) | v139(constB113)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27782,plain,
% 16.90/12.10 ((~v132(constB113)) | (~v139(constB113))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27781, 27780])).
% 16.90/12.10 tff(27783,plain,
% 16.90/12.10 ((~(v138(constB113) <=> (~((~v132(constB113)) | (~v139(constB113)))))) | (~v138(constB113)) | (~((~v132(constB113)) | (~v139(constB113))))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27784,plain,
% 16.90/12.10 (~v138(constB113)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27783, 27782, 27718])).
% 16.90/12.10 tff(27785,plain,
% 16.90/12.10 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB113) <=> (~((~v143(constB113)) | (~v144(constB113)))))),
% 16.90/12.10 inference(quant_inst,[status(thm)],[])).
% 16.90/12.10 tff(27786,plain,
% 16.90/12.10 (v142(constB113) <=> (~((~v143(constB113)) | (~v144(constB113))))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27785, 596])).
% 16.90/12.10 tff(27787,plain,
% 16.90/12.10 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB113) <=> (~((~v141(constB113)) | (~v145(constB113)))))),
% 16.90/12.10 inference(quant_inst,[status(thm)],[])).
% 16.90/12.10 tff(27788,plain,
% 16.90/12.10 (v144(constB113) <=> (~((~v141(constB113)) | (~v145(constB113))))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27787, 608])).
% 16.90/12.10 tff(27789,plain,
% 16.90/12.10 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB113) <=> (~(v84(constB113, 1) | v84(constB113, 2) | (~v84(constB113, 0)))))),
% 16.90/12.10 inference(quant_inst,[status(thm)],[])).
% 16.90/12.10 tff(27790,plain,
% 16.90/12.10 (v145(constB113) <=> (~(v84(constB113, 1) | v84(constB113, 2) | (~v84(constB113, 0))))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27789, 755])).
% 16.90/12.10 tff(27791,plain,
% 16.90/12.10 ((v84(constB113, 1) | v84(constB113, 2) | (~v84(constB113, 0))) | (~v84(constB113, 2))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27792,plain,
% 16.90/12.10 (v84(constB113, 1) | v84(constB113, 2) | (~v84(constB113, 0))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27791, 17485])).
% 16.90/12.10 tff(27793,plain,
% 16.90/12.10 ((~(v145(constB113) <=> (~(v84(constB113, 1) | v84(constB113, 2) | (~v84(constB113, 0)))))) | (~v145(constB113)) | (~(v84(constB113, 1) | v84(constB113, 2) | (~v84(constB113, 0))))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27794,plain,
% 16.90/12.10 (~v145(constB113)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27793, 27792, 27790])).
% 16.90/12.10 tff(27795,plain,
% 16.90/12.10 (((~v141(constB113)) | (~v145(constB113))) | v145(constB113)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27796,plain,
% 16.90/12.10 ((~v141(constB113)) | (~v145(constB113))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27795, 27794])).
% 16.90/12.10 tff(27797,plain,
% 16.90/12.10 ((~(v144(constB113) <=> (~((~v141(constB113)) | (~v145(constB113)))))) | (~v144(constB113)) | (~((~v141(constB113)) | (~v145(constB113))))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27798,plain,
% 16.90/12.10 (~v144(constB113)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27797, 27796, 27788])).
% 16.90/12.10 tff(27799,plain,
% 16.90/12.10 (((~v143(constB113)) | (~v144(constB113))) | v144(constB113)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27800,plain,
% 16.90/12.10 ((~v143(constB113)) | (~v144(constB113))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27799, 27798])).
% 16.90/12.10 tff(27801,plain,
% 16.90/12.10 ((~(v142(constB113) <=> (~((~v143(constB113)) | (~v144(constB113)))))) | (~v142(constB113)) | (~((~v143(constB113)) | (~v144(constB113))))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27802,plain,
% 16.90/12.10 (~v142(constB113)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27801, 27800, 27786])).
% 16.90/12.10 tff(27803,plain,
% 16.90/12.10 ((~(v138(constB113) | v142(constB113))) | v138(constB113) | v142(constB113)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27804,plain,
% 16.90/12.10 (~(v138(constB113) | v142(constB113))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27803, 27802, 27784])).
% 16.90/12.10 tff(27805,plain,
% 16.90/12.10 ((~(v135(constB113) <=> (v138(constB113) | v142(constB113)))) | (~v135(constB113)) | (v138(constB113) | v142(constB113))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27806,plain,
% 16.90/12.10 (~v135(constB113)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27805, 27804, 27711])).
% 16.90/12.10 tff(27807,plain,
% 16.90/12.10 ((~(v137(constB114) <=> v135(constB113))) | (~v137(constB114)) | v135(constB113)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27808,plain,
% 16.90/12.10 (~v137(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27807, 27806, 27709])).
% 16.90/12.10 tff(27809,plain,
% 16.90/12.10 ((~(v132(constB114) <=> v137(constB114))) | (~v132(constB114)) | v137(constB114)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27810,plain,
% 16.90/12.10 (~v132(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27809, 27808, 27705])).
% 16.90/12.10 tff(27811,plain,
% 16.90/12.10 (((~v132(constB114)) | (~v139(constB114))) | v132(constB114)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27812,plain,
% 16.90/12.10 ((~v132(constB114)) | (~v139(constB114))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27811, 27810])).
% 16.90/12.10 tff(27813,plain,
% 16.90/12.10 ((~(v138(constB114) <=> (~((~v132(constB114)) | (~v139(constB114)))))) | (~v138(constB114)) | (~((~v132(constB114)) | (~v139(constB114))))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27814,plain,
% 16.90/12.10 (~v138(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27813, 27812, 27703])).
% 16.90/12.10 tff(27815,plain,
% 16.90/12.10 ((~(v138(constB114) | v142(constB114))) | v138(constB114) | v142(constB114)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27816,plain,
% 16.90/12.10 (~(v138(constB114) | v142(constB114))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27815, 27814, 27696])).
% 16.90/12.10 tff(27817,plain,
% 16.90/12.10 ((~(v135(constB114) <=> (v138(constB114) | v142(constB114)))) | (~v135(constB114)) | (v138(constB114) | v142(constB114))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27818,plain,
% 16.90/12.10 (~v135(constB114)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27817, 27816, 27671])).
% 16.90/12.10 tff(27819,plain,
% 16.90/12.10 ((~(v137(constB115) <=> v135(constB114))) | (~v137(constB115)) | v135(constB114)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27820,plain,
% 16.90/12.10 (~v137(constB115)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27819, 27818, 27669])).
% 16.90/12.10 tff(27821,plain,
% 16.90/12.10 ((~(v132(constB115) <=> v137(constB115))) | (~v132(constB115)) | v137(constB115)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27822,plain,
% 16.90/12.10 (~v132(constB115)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27821, 27820, 27665])).
% 16.90/12.10 tff(27823,plain,
% 16.90/12.10 (((~v132(constB115)) | (~v155(constB115))) | v132(constB115)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27824,plain,
% 16.90/12.10 ((~v132(constB115)) | (~v155(constB115))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27823, 27822])).
% 16.90/12.10 tff(27825,plain,
% 16.90/12.10 ((~(v154(constB115) <=> (~((~v132(constB115)) | (~v155(constB115)))))) | (~v154(constB115)) | (~((~v132(constB115)) | (~v155(constB115))))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27826,plain,
% 16.90/12.10 (~v154(constB115)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27825, 27824, 27663])).
% 16.90/12.10 tff(27827,plain,
% 16.90/12.10 ((~(v153(constB115) | v154(constB115))) | v153(constB115) | v154(constB115)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27828,plain,
% 16.90/12.10 (~(v153(constB115) | v154(constB115))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27827, 27826, 27656])).
% 16.90/12.10 tff(27829,plain,
% 16.90/12.10 ((~(v150(constB115) <=> (v153(constB115) | v154(constB115)))) | (~v150(constB115)) | (v153(constB115) | v154(constB115))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27830,plain,
% 16.90/12.10 (~v150(constB115)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27829, 27828, 27583])).
% 16.90/12.10 tff(27831,plain,
% 16.90/12.10 ((~(v152(constB116) <=> v150(constB115))) | (~v152(constB116)) | v150(constB115)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27832,plain,
% 16.90/12.10 (~v152(constB116)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27831, 27830, 27581])).
% 16.90/12.10 tff(27833,plain,
% 16.90/12.10 ((~(v130(constB116) <=> v152(constB116))) | (~v130(constB116)) | v152(constB116)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27834,plain,
% 16.90/12.10 (~v130(constB116)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27833, 27832, 27577])).
% 16.90/12.10 tff(27835,plain,
% 16.90/12.10 (((~v130(constB116)) | (~v139(constB116))) | v130(constB116)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27836,plain,
% 16.90/12.10 ((~v130(constB116)) | (~v139(constB116))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27835, 27834])).
% 16.90/12.10 tff(27837,plain,
% 16.90/12.10 ((~(v153(constB116) <=> (~((~v130(constB116)) | (~v139(constB116)))))) | (~v153(constB116)) | (~((~v130(constB116)) | (~v139(constB116))))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27838,plain,
% 16.90/12.10 (~v153(constB116)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27837, 27836, 27575])).
% 16.90/12.10 tff(27839,plain,
% 16.90/12.10 ((~(v153(constB116) | v154(constB116))) | v153(constB116) | v154(constB116)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27840,plain,
% 16.90/12.10 (~(v153(constB116) | v154(constB116))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27839, 27838, 27568])).
% 16.90/12.10 tff(27841,plain,
% 16.90/12.10 ((~(v150(constB116) <=> (v153(constB116) | v154(constB116)))) | (~v150(constB116)) | (v153(constB116) | v154(constB116))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27842,plain,
% 16.90/12.10 (~v150(constB116)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27841, 27840, 27533])).
% 16.90/12.10 tff(27843,plain,
% 16.90/12.10 ((~(v152(constB117) <=> v150(constB116))) | (~v152(constB117)) | v150(constB116)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27844,plain,
% 16.90/12.10 (~v152(constB117)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27843, 27842, 27531])).
% 16.90/12.10 tff(27845,plain,
% 16.90/12.10 ((~(v130(constB117) <=> v152(constB117))) | (~v130(constB117)) | v152(constB117)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27846,plain,
% 16.90/12.10 (~v130(constB117)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27845, 27844, 27527])).
% 16.90/12.10 tff(27847,plain,
% 16.90/12.10 (((~v130(constB117)) | (~v155(constB117))) | v130(constB117)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27848,plain,
% 16.90/12.10 ((~v130(constB117)) | (~v155(constB117))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27847, 27846])).
% 16.90/12.10 tff(27849,plain,
% 16.90/12.10 ((~(v164(constB117) <=> (~((~v130(constB117)) | (~v155(constB117)))))) | (~v164(constB117)) | (~((~v130(constB117)) | (~v155(constB117))))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27850,plain,
% 16.90/12.10 (~v164(constB117)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27849, 27848, 27525])).
% 16.90/12.10 tff(27851,plain,
% 16.90/12.10 ((~(v163(constB117) | v164(constB117))) | v163(constB117) | v164(constB117)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27852,plain,
% 16.90/12.10 (~(v163(constB117) | v164(constB117))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27851, 27850, 27518])).
% 16.90/12.10 tff(27853,plain,
% 16.90/12.10 ((~(v160(constB117) <=> (v163(constB117) | v164(constB117)))) | (~v160(constB117)) | (v163(constB117) | v164(constB117))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27854,plain,
% 16.90/12.10 (~v160(constB117)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27853, 27852, 27445])).
% 16.90/12.10 tff(27855,plain,
% 16.90/12.10 ((~(v162(constB118) <=> v160(constB117))) | (~v162(constB118)) | v160(constB117)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27856,plain,
% 16.90/12.10 (~v162(constB118)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27855, 27854, 27443])).
% 16.90/12.10 tff(27857,plain,
% 16.90/12.10 ((~(v128(constB118) <=> v162(constB118))) | (~v128(constB118)) | v162(constB118)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27858,plain,
% 16.90/12.10 (~v128(constB118)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27857, 27856, 27439])).
% 16.90/12.10 tff(27859,plain,
% 16.90/12.10 (((~v128(constB118)) | (~v139(constB118))) | v128(constB118)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27860,plain,
% 16.90/12.10 ((~v128(constB118)) | (~v139(constB118))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27859, 27858])).
% 16.90/12.10 tff(27861,plain,
% 16.90/12.10 ((~(v163(constB118) <=> (~((~v128(constB118)) | (~v139(constB118)))))) | (~v163(constB118)) | (~((~v128(constB118)) | (~v139(constB118))))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27862,plain,
% 16.90/12.10 (~v163(constB118)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27861, 27860, 27437])).
% 16.90/12.10 tff(27863,plain,
% 16.90/12.10 ((~(v163(constB118) | v164(constB118))) | v163(constB118) | v164(constB118)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27864,plain,
% 16.90/12.10 (~(v163(constB118) | v164(constB118))),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27863, 27862, 27430])).
% 16.90/12.10 tff(27865,plain,
% 16.90/12.10 ((~(v160(constB118) <=> (v163(constB118) | v164(constB118)))) | (~v160(constB118)) | (v163(constB118) | v164(constB118))),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27866,plain,
% 16.90/12.10 (~v160(constB118)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27865, 27864, 27395])).
% 16.90/12.10 tff(27867,plain,
% 16.90/12.10 ((~(v162(constB119) <=> v160(constB118))) | (~v162(constB119)) | v160(constB118)),
% 16.90/12.10 inference(tautology,[status(thm)],[])).
% 16.90/12.10 tff(27868,plain,
% 16.90/12.10 (~v162(constB119)),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27867, 27866, 27393])).
% 16.90/12.10 tff(27869,plain,
% 16.90/12.10 ($false),
% 16.90/12.10 inference(unit_resolution,[status(thm)],[27868, 27389])).
% 16.90/12.10 tff(27870,plain,(~(constB119 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 16.90/12.10 tff(27871,assumption,(constB187 = VarCurr!0), introduced(assumption)).
% 16.90/12.10 tff(27872,plain,
% 16.90/12.10 (v162(constB187) <=> v162(VarCurr!0)),
% 16.90/12.10 inference(monotonicity,[status(thm)],[27871])).
% 16.90/12.10 tff(27873,plain,
% 16.90/12.10 (v162(VarCurr!0) <=> v162(constB187)),
% 16.90/12.10 inference(symmetry,[status(thm)],[27872])).
% 16.90/12.10 tff(27874,plain,
% 16.90/12.10 (v162(constB187)),
% 16.90/12.10 inference(modus_ponens,[status(thm)],[59, 27873])).
% 16.90/12.10 tff(27875,plain,
% 16.90/12.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB186, constB187)) | (v162(constB187) <=> v160(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB186, constB187)) | (v162(constB187) <=> v160(constB186)))),
% 16.90/12.10 inference(rewrite,[status(thm)],[])).
% 16.90/12.10 tff(27876,plain,
% 16.90/12.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB186, constB187)) | (v162(constB187) <=> v160(constB186)))),
% 16.90/12.10 inference(quant_inst,[status(thm)],[])).
% 16.90/12.10 tff(27877,plain,
% 16.90/12.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB186, constB187)) | (v162(constB187) <=> v160(constB186))),
% 16.90/12.11 inference(modus_ponens,[status(thm)],[27876, 27875])).
% 16.90/12.11 tff(27878,plain,
% 16.90/12.11 (v162(constB187) <=> v160(constB186)),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27877, 22038, 70])).
% 16.90/12.11 tff(27879,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB186) <=> (v163(constB186) | v164(constB186)))),
% 16.90/12.11 inference(quant_inst,[status(thm)],[])).
% 16.90/12.11 tff(27880,plain,
% 16.90/12.11 (v160(constB186) <=> (v163(constB186) | v164(constB186))),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27879, 84])).
% 16.90/12.11 tff(27881,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v130(constB186)) | (~v155(constB186)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v130(constB186)) | (~v155(constB186))))))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27882,plain,
% 16.90/12.11 ((v164(constB186) <=> (~((~v155(constB186)) | (~v130(constB186))))) <=> (v164(constB186) <=> (~((~v130(constB186)) | (~v155(constB186)))))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27883,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v155(constB186)) | (~v130(constB186)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v130(constB186)) | (~v155(constB186))))))),
% 16.90/12.11 inference(monotonicity,[status(thm)],[27882])).
% 16.90/12.11 tff(27884,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v155(constB186)) | (~v130(constB186)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v130(constB186)) | (~v155(constB186))))))),
% 16.90/12.11 inference(transitivity,[status(thm)],[27883, 27881])).
% 16.90/12.11 tff(27885,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v155(constB186)) | (~v130(constB186)))))),
% 16.90/12.11 inference(quant_inst,[status(thm)],[])).
% 16.90/12.11 tff(27886,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v130(constB186)) | (~v155(constB186)))))),
% 16.90/12.11 inference(modus_ponens,[status(thm)],[27885, 27884])).
% 16.90/12.11 tff(27887,plain,
% 16.90/12.11 (v164(constB186) <=> (~((~v130(constB186)) | (~v155(constB186))))),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27886, 96])).
% 16.90/12.11 tff(27888,plain,
% 16.90/12.11 (((~v130(constB186)) | (~v155(constB186))) | v155(constB186)),
% 16.90/12.11 inference(tautology,[status(thm)],[])).
% 16.90/12.11 tff(27889,plain,
% 16.90/12.11 ((~v130(constB186)) | (~v155(constB186))),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27888, 22078])).
% 16.90/12.11 tff(27890,plain,
% 16.90/12.11 ((~(v164(constB186) <=> (~((~v130(constB186)) | (~v155(constB186)))))) | (~v164(constB186)) | (~((~v130(constB186)) | (~v155(constB186))))),
% 16.90/12.11 inference(tautology,[status(thm)],[])).
% 16.90/12.11 tff(27891,plain,
% 16.90/12.11 (~v164(constB186)),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27890, 27889, 27887])).
% 16.90/12.11 tff(27892,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186))))))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27893,plain,
% 16.90/12.11 ((v163(constB186) <=> (~((~v139(constB186)) | (~v128(constB186))))) <=> (v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186)))))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27894,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v139(constB186)) | (~v128(constB186)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186))))))),
% 16.90/12.11 inference(monotonicity,[status(thm)],[27893])).
% 16.90/12.11 tff(27895,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v139(constB186)) | (~v128(constB186)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186))))))),
% 16.90/12.11 inference(transitivity,[status(thm)],[27894, 27892])).
% 16.90/12.11 tff(27896,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v139(constB186)) | (~v128(constB186)))))),
% 16.90/12.11 inference(quant_inst,[status(thm)],[])).
% 16.90/12.11 tff(27897,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186)))))),
% 16.90/12.11 inference(modus_ponens,[status(thm)],[27896, 27895])).
% 16.90/12.11 tff(27898,plain,
% 16.90/12.11 (v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186))))),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27897, 171])).
% 16.90/12.11 tff(27899,plain,
% 16.90/12.11 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB186) <=> v162(constB186))),
% 16.90/12.11 inference(quant_inst,[status(thm)],[])).
% 16.90/12.11 tff(27900,plain,
% 16.90/12.11 (v128(constB186) <=> v162(constB186)),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27899, 13])).
% 16.90/12.11 tff(27901,plain,
% 16.90/12.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB185, constB186)) | (v162(constB186) <=> v160(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB185, constB186)) | (v162(constB186) <=> v160(constB185)))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27902,plain,
% 16.90/12.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB185, constB186)) | (v162(constB186) <=> v160(constB185)))),
% 16.90/12.11 inference(quant_inst,[status(thm)],[])).
% 16.90/12.11 tff(27903,plain,
% 16.90/12.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB185, constB186)) | (v162(constB186) <=> v160(constB185))),
% 16.90/12.11 inference(modus_ponens,[status(thm)],[27902, 27901])).
% 16.90/12.11 tff(27904,plain,
% 16.90/12.11 (v162(constB186) <=> v160(constB185)),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27903, 22094, 70])).
% 16.90/12.11 tff(27905,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB185) <=> (v163(constB185) | v164(constB185)))),
% 16.90/12.11 inference(quant_inst,[status(thm)],[])).
% 16.90/12.11 tff(27906,plain,
% 16.90/12.11 (v160(constB185) <=> (v163(constB185) | v164(constB185))),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27905, 84])).
% 16.90/12.11 tff(27907,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185))))))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27908,plain,
% 16.90/12.11 ((v163(constB185) <=> (~((~v139(constB185)) | (~v128(constB185))))) <=> (v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185)))))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27909,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v139(constB185)) | (~v128(constB185)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185))))))),
% 16.90/12.11 inference(monotonicity,[status(thm)],[27908])).
% 16.90/12.11 tff(27910,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v139(constB185)) | (~v128(constB185)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185))))))),
% 16.90/12.11 inference(transitivity,[status(thm)],[27909, 27907])).
% 16.90/12.11 tff(27911,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v139(constB185)) | (~v128(constB185)))))),
% 16.90/12.11 inference(quant_inst,[status(thm)],[])).
% 16.90/12.11 tff(27912,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185)))))),
% 16.90/12.11 inference(modus_ponens,[status(thm)],[27911, 27910])).
% 16.90/12.11 tff(27913,plain,
% 16.90/12.11 (v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185))))),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27912, 171])).
% 16.90/12.11 tff(27914,plain,
% 16.90/12.11 (((~v128(constB185)) | (~v139(constB185))) | v139(constB185)),
% 16.90/12.11 inference(tautology,[status(thm)],[])).
% 16.90/12.11 tff(27915,plain,
% 16.90/12.11 ((~v128(constB185)) | (~v139(constB185))),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27914, 22172])).
% 16.90/12.11 tff(27916,plain,
% 16.90/12.11 ((~(v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185)))))) | (~v163(constB185)) | (~((~v128(constB185)) | (~v139(constB185))))),
% 16.90/12.11 inference(tautology,[status(thm)],[])).
% 16.90/12.11 tff(27917,plain,
% 16.90/12.11 (~v163(constB185)),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27916, 27915, 27913])).
% 16.90/12.11 tff(27918,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v130(constB185)) | (~v155(constB185)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v130(constB185)) | (~v155(constB185))))))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27919,plain,
% 16.90/12.11 ((v164(constB185) <=> (~((~v155(constB185)) | (~v130(constB185))))) <=> (v164(constB185) <=> (~((~v130(constB185)) | (~v155(constB185)))))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27920,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v155(constB185)) | (~v130(constB185)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v130(constB185)) | (~v155(constB185))))))),
% 16.90/12.11 inference(monotonicity,[status(thm)],[27919])).
% 16.90/12.11 tff(27921,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v155(constB185)) | (~v130(constB185)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v130(constB185)) | (~v155(constB185))))))),
% 16.90/12.11 inference(transitivity,[status(thm)],[27920, 27918])).
% 16.90/12.11 tff(27922,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v155(constB185)) | (~v130(constB185)))))),
% 16.90/12.11 inference(quant_inst,[status(thm)],[])).
% 16.90/12.11 tff(27923,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v130(constB185)) | (~v155(constB185)))))),
% 16.90/12.11 inference(modus_ponens,[status(thm)],[27922, 27921])).
% 16.90/12.11 tff(27924,plain,
% 16.90/12.11 (v164(constB185) <=> (~((~v130(constB185)) | (~v155(constB185))))),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27923, 96])).
% 16.90/12.11 tff(27925,plain,
% 16.90/12.11 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB185) <=> v152(constB185))),
% 16.90/12.11 inference(quant_inst,[status(thm)],[])).
% 16.90/12.11 tff(27926,plain,
% 16.90/12.11 (v130(constB185) <=> v152(constB185)),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27925, 361])).
% 16.90/12.11 tff(27927,plain,
% 16.90/12.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB184, constB185)) | (v152(constB185) <=> v150(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB184, constB185)) | (v152(constB185) <=> v150(constB184)))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27928,plain,
% 16.90/12.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB184, constB185)) | (v152(constB185) <=> v150(constB184)))),
% 16.90/12.11 inference(quant_inst,[status(thm)],[])).
% 16.90/12.11 tff(27929,plain,
% 16.90/12.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB184, constB185)) | (v152(constB185) <=> v150(constB184))),
% 16.90/12.11 inference(modus_ponens,[status(thm)],[27928, 27927])).
% 16.90/12.11 tff(27930,plain,
% 16.90/12.11 (v152(constB185) <=> v150(constB184)),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27929, 22188, 373])).
% 16.90/12.11 tff(27931,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB184) <=> (v153(constB184) | v154(constB184)))),
% 16.90/12.11 inference(quant_inst,[status(thm)],[])).
% 16.90/12.11 tff(27932,plain,
% 16.90/12.11 (v150(constB184) <=> (v153(constB184) | v154(constB184))),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27931, 387])).
% 16.90/12.11 tff(27933,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB184) <=> (~((~v132(constB184)) | (~v155(constB184)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB184) <=> (~((~v132(constB184)) | (~v155(constB184))))))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27934,plain,
% 16.90/12.11 ((v154(constB184) <=> (~((~v155(constB184)) | (~v132(constB184))))) <=> (v154(constB184) <=> (~((~v132(constB184)) | (~v155(constB184)))))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27935,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB184) <=> (~((~v155(constB184)) | (~v132(constB184)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB184) <=> (~((~v132(constB184)) | (~v155(constB184))))))),
% 16.90/12.11 inference(monotonicity,[status(thm)],[27934])).
% 16.90/12.11 tff(27936,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB184) <=> (~((~v155(constB184)) | (~v132(constB184)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB184) <=> (~((~v132(constB184)) | (~v155(constB184))))))),
% 16.90/12.11 inference(transitivity,[status(thm)],[27935, 27933])).
% 16.90/12.11 tff(27937,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB184) <=> (~((~v155(constB184)) | (~v132(constB184)))))),
% 16.90/12.11 inference(quant_inst,[status(thm)],[])).
% 16.90/12.11 tff(27938,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB184) <=> (~((~v132(constB184)) | (~v155(constB184)))))),
% 16.90/12.11 inference(modus_ponens,[status(thm)],[27937, 27936])).
% 16.90/12.11 tff(27939,plain,
% 16.90/12.11 (v154(constB184) <=> (~((~v132(constB184)) | (~v155(constB184))))),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27938, 399])).
% 16.90/12.11 tff(27940,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB184) <=> (~((~v141(constB184)) | (~v143(constB184)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB184) <=> (~((~v141(constB184)) | (~v143(constB184))))))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27941,plain,
% 16.90/12.11 ((v155(constB184) <=> (~((~v143(constB184)) | (~v141(constB184))))) <=> (v155(constB184) <=> (~((~v141(constB184)) | (~v143(constB184)))))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27942,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB184) <=> (~((~v143(constB184)) | (~v141(constB184)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB184) <=> (~((~v141(constB184)) | (~v143(constB184))))))),
% 16.90/12.11 inference(monotonicity,[status(thm)],[27941])).
% 16.90/12.11 tff(27943,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB184) <=> (~((~v143(constB184)) | (~v141(constB184)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB184) <=> (~((~v141(constB184)) | (~v143(constB184))))))),
% 16.90/12.11 inference(transitivity,[status(thm)],[27942, 27940])).
% 16.90/12.11 tff(27944,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB184) <=> (~((~v143(constB184)) | (~v141(constB184)))))),
% 16.90/12.11 inference(quant_inst,[status(thm)],[])).
% 16.90/12.11 tff(27945,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB184) <=> (~((~v141(constB184)) | (~v143(constB184)))))),
% 16.90/12.11 inference(modus_ponens,[status(thm)],[27944, 27943])).
% 16.90/12.11 tff(27946,plain,
% 16.90/12.11 (v155(constB184) <=> (~((~v141(constB184)) | (~v143(constB184))))),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27945, 113])).
% 16.90/12.11 tff(27947,plain,
% 16.90/12.11 (((~v141(constB184)) | (~v143(constB184))) | v141(constB184)),
% 16.90/12.11 inference(tautology,[status(thm)],[])).
% 16.90/12.11 tff(27948,plain,
% 16.90/12.11 ((~v141(constB184)) | (~v143(constB184))),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27947, 22213])).
% 16.90/12.11 tff(27949,plain,
% 16.90/12.11 ((~(v155(constB184) <=> (~((~v141(constB184)) | (~v143(constB184)))))) | (~v155(constB184)) | (~((~v141(constB184)) | (~v143(constB184))))),
% 16.90/12.11 inference(tautology,[status(thm)],[])).
% 16.90/12.11 tff(27950,plain,
% 16.90/12.11 ((~(v155(constB184) <=> (~((~v141(constB184)) | (~v143(constB184)))))) | (~v155(constB184))),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27949, 27948])).
% 16.90/12.11 tff(27951,plain,
% 16.90/12.11 (~v155(constB184)),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27950, 27946])).
% 16.90/12.11 tff(27952,plain,
% 16.90/12.11 (((~v132(constB184)) | (~v155(constB184))) | v155(constB184)),
% 16.90/12.11 inference(tautology,[status(thm)],[])).
% 16.90/12.11 tff(27953,plain,
% 16.90/12.11 ((~v132(constB184)) | (~v155(constB184))),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27952, 27951])).
% 16.90/12.11 tff(27954,plain,
% 16.90/12.11 ((~(v154(constB184) <=> (~((~v132(constB184)) | (~v155(constB184)))))) | (~v154(constB184)) | (~((~v132(constB184)) | (~v155(constB184))))),
% 16.90/12.11 inference(tautology,[status(thm)],[])).
% 16.90/12.11 tff(27955,plain,
% 16.90/12.11 (~v154(constB184)),
% 16.90/12.11 inference(unit_resolution,[status(thm)],[27954, 27953, 27939])).
% 16.90/12.11 tff(27956,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB184) <=> (~((~v130(constB184)) | (~v139(constB184)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB184) <=> (~((~v130(constB184)) | (~v139(constB184))))))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27957,plain,
% 16.90/12.11 ((v153(constB184) <=> (~((~v139(constB184)) | (~v130(constB184))))) <=> (v153(constB184) <=> (~((~v130(constB184)) | (~v139(constB184)))))),
% 16.90/12.11 inference(rewrite,[status(thm)],[])).
% 16.90/12.11 tff(27958,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB184) <=> (~((~v139(constB184)) | (~v130(constB184)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB184) <=> (~((~v130(constB184)) | (~v139(constB184))))))),
% 16.90/12.11 inference(monotonicity,[status(thm)],[27957])).
% 16.90/12.11 tff(27959,plain,
% 16.90/12.11 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB184) <=> (~((~v139(constB184)) | (~v130(constB184)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB184) <=> (~((~v130(constB184)) | (~v139(constB184))))))),
% 16.90/12.11 inference(transitivity,[status(thm)],[27958, 27956])).
% 16.90/12.11 tff(27960,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB184) <=> (~((~v139(constB184)) | (~v130(constB184)))))),
% 16.90/12.11 inference(quant_inst,[status(thm)],[])).
% 16.90/12.11 tff(27961,plain,
% 16.90/12.11 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB184) <=> (~((~v130(constB184)) | (~v139(constB184)))))),
% 16.90/12.12 inference(modus_ponens,[status(thm)],[27960, 27959])).
% 16.90/12.12 tff(27962,plain,
% 16.90/12.12 (v153(constB184) <=> (~((~v130(constB184)) | (~v139(constB184))))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[27961, 447])).
% 16.90/12.12 tff(27963,plain,
% 16.90/12.12 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB184) <=> v152(constB184))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(27964,plain,
% 16.90/12.12 (v130(constB184) <=> v152(constB184)),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[27963, 361])).
% 16.90/12.12 tff(27965,plain,
% 16.90/12.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB183, constB184)) | (v152(constB184) <=> v150(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB183, constB184)) | (v152(constB184) <=> v150(constB183)))),
% 16.90/12.12 inference(rewrite,[status(thm)],[])).
% 16.90/12.12 tff(27966,plain,
% 16.90/12.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB183, constB184)) | (v152(constB184) <=> v150(constB183)))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(27967,plain,
% 16.90/12.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB183, constB184)) | (v152(constB184) <=> v150(constB183))),
% 16.90/12.12 inference(modus_ponens,[status(thm)],[27966, 27965])).
% 16.90/12.12 tff(27968,plain,
% 16.90/12.12 (v152(constB184) <=> v150(constB183)),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[27967, 22234, 373])).
% 16.90/12.12 tff(27969,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB183) <=> (v153(constB183) | v154(constB183)))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(27970,plain,
% 16.90/12.12 (v150(constB183) <=> (v153(constB183) | v154(constB183))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[27969, 387])).
% 16.90/12.12 tff(27971,plain,
% 16.90/12.12 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB183) <=> (~((~v130(constB183)) | (~v139(constB183)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB183) <=> (~((~v130(constB183)) | (~v139(constB183))))))),
% 16.90/12.12 inference(rewrite,[status(thm)],[])).
% 16.90/12.12 tff(27972,plain,
% 16.90/12.12 ((v153(constB183) <=> (~((~v139(constB183)) | (~v130(constB183))))) <=> (v153(constB183) <=> (~((~v130(constB183)) | (~v139(constB183)))))),
% 16.90/12.12 inference(rewrite,[status(thm)],[])).
% 16.90/12.12 tff(27973,plain,
% 16.90/12.12 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB183) <=> (~((~v139(constB183)) | (~v130(constB183)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB183) <=> (~((~v130(constB183)) | (~v139(constB183))))))),
% 16.90/12.12 inference(monotonicity,[status(thm)],[27972])).
% 16.90/12.12 tff(27974,plain,
% 16.90/12.12 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB183) <=> (~((~v139(constB183)) | (~v130(constB183)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB183) <=> (~((~v130(constB183)) | (~v139(constB183))))))),
% 16.90/12.12 inference(transitivity,[status(thm)],[27973, 27971])).
% 16.90/12.12 tff(27975,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB183) <=> (~((~v139(constB183)) | (~v130(constB183)))))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(27976,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB183) <=> (~((~v130(constB183)) | (~v139(constB183)))))),
% 16.90/12.12 inference(modus_ponens,[status(thm)],[27975, 27974])).
% 16.90/12.12 tff(27977,plain,
% 16.90/12.12 (v153(constB183) <=> (~((~v130(constB183)) | (~v139(constB183))))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[27976, 447])).
% 16.90/12.12 tff(27978,plain,
% 16.90/12.12 (((~v130(constB183)) | (~v139(constB183))) | v139(constB183)),
% 16.90/12.12 inference(tautology,[status(thm)],[])).
% 16.90/12.12 tff(27979,plain,
% 16.90/12.12 ((~v130(constB183)) | (~v139(constB183))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[27978, 22312])).
% 16.90/12.12 tff(27980,plain,
% 16.90/12.12 ((~(v153(constB183) <=> (~((~v130(constB183)) | (~v139(constB183)))))) | (~v153(constB183)) | (~((~v130(constB183)) | (~v139(constB183))))),
% 16.90/12.12 inference(tautology,[status(thm)],[])).
% 16.90/12.12 tff(27981,plain,
% 16.90/12.12 (~v153(constB183)),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[27980, 27979, 27977])).
% 16.90/12.12 tff(27982,plain,
% 16.90/12.12 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB183) <=> (~((~v132(constB183)) | (~v155(constB183)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB183) <=> (~((~v132(constB183)) | (~v155(constB183))))))),
% 16.90/12.12 inference(rewrite,[status(thm)],[])).
% 16.90/12.12 tff(27983,plain,
% 16.90/12.12 ((v154(constB183) <=> (~((~v155(constB183)) | (~v132(constB183))))) <=> (v154(constB183) <=> (~((~v132(constB183)) | (~v155(constB183)))))),
% 16.90/12.12 inference(rewrite,[status(thm)],[])).
% 16.90/12.12 tff(27984,plain,
% 16.90/12.12 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB183) <=> (~((~v155(constB183)) | (~v132(constB183)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB183) <=> (~((~v132(constB183)) | (~v155(constB183))))))),
% 16.90/12.12 inference(monotonicity,[status(thm)],[27983])).
% 16.90/12.12 tff(27985,plain,
% 16.90/12.12 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB183) <=> (~((~v155(constB183)) | (~v132(constB183)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB183) <=> (~((~v132(constB183)) | (~v155(constB183))))))),
% 16.90/12.12 inference(transitivity,[status(thm)],[27984, 27982])).
% 16.90/12.12 tff(27986,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB183) <=> (~((~v155(constB183)) | (~v132(constB183)))))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(27987,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB183) <=> (~((~v132(constB183)) | (~v155(constB183)))))),
% 16.90/12.12 inference(modus_ponens,[status(thm)],[27986, 27985])).
% 16.90/12.12 tff(27988,plain,
% 16.90/12.12 (v154(constB183) <=> (~((~v132(constB183)) | (~v155(constB183))))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[27987, 399])).
% 16.90/12.12 tff(27989,plain,
% 16.90/12.12 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB183) <=> v137(constB183))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(27990,plain,
% 16.90/12.12 (v132(constB183) <=> v137(constB183)),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[27989, 558])).
% 16.90/12.12 tff(27991,plain,
% 16.90/12.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB182, constB183)) | (v137(constB183) <=> v135(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB182, constB183)) | (v137(constB183) <=> v135(constB182)))),
% 16.90/12.12 inference(rewrite,[status(thm)],[])).
% 16.90/12.12 tff(27992,plain,
% 16.90/12.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB182, constB183)) | (v137(constB183) <=> v135(constB182)))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(27993,plain,
% 16.90/12.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB182, constB183)) | (v137(constB183) <=> v135(constB182))),
% 16.90/12.12 inference(modus_ponens,[status(thm)],[27992, 27991])).
% 16.90/12.12 tff(27994,plain,
% 16.90/12.12 (v137(constB183) <=> v135(constB182)),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[27993, 22325, 570])).
% 16.90/12.12 tff(27995,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB182) <=> (v138(constB182) | v142(constB182)))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(27996,plain,
% 16.90/12.12 (v135(constB182) <=> (v138(constB182) | v142(constB182))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[27995, 584])).
% 16.90/12.12 tff(27997,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB182) <=> (~((~v143(constB182)) | (~v144(constB182)))))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(27998,plain,
% 16.90/12.12 (v142(constB182) <=> (~((~v143(constB182)) | (~v144(constB182))))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[27997, 596])).
% 16.90/12.12 tff(27999,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB182) <=> (~((~v141(constB182)) | (~v145(constB182)))))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(28000,plain,
% 16.90/12.12 (v144(constB182) <=> (~((~v141(constB182)) | (~v145(constB182))))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[27999, 608])).
% 16.90/12.12 tff(28001,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(28002,plain,
% 16.90/12.12 (v141(constB182) <=> (~((~v39(constB182)) | (~v9(constB182))))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28001, 130])).
% 16.90/12.12 tff(28003,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB182)) <=> v1(constB182))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(28004,plain,
% 16.90/12.12 ((~v39(constB182)) <=> v1(constB182)),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28003, 139])).
% 16.90/12.12 tff(28005,plain,
% 16.90/12.12 ((~((~v39(constB182)) <=> v1(constB182))) | (~v39(constB182)) | (~v1(constB182))),
% 16.90/12.12 inference(tautology,[status(thm)],[])).
% 16.90/12.12 tff(28006,plain,
% 16.90/12.12 ((~((~v39(constB182)) <=> v1(constB182))) | (~v39(constB182))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28005, 24644])).
% 16.90/12.12 tff(28007,plain,
% 16.90/12.12 (~v39(constB182)),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28006, 28004])).
% 16.90/12.12 tff(28008,plain,
% 16.90/12.12 (((~v39(constB182)) | (~v9(constB182))) | v39(constB182)),
% 16.90/12.12 inference(tautology,[status(thm)],[])).
% 16.90/12.12 tff(28009,plain,
% 16.90/12.12 ((~v39(constB182)) | (~v9(constB182))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28008, 28007])).
% 16.90/12.12 tff(28010,plain,
% 16.90/12.12 ((~(v141(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))) | (~v141(constB182)) | (~((~v39(constB182)) | (~v9(constB182))))),
% 16.90/12.12 inference(tautology,[status(thm)],[])).
% 16.90/12.12 tff(28011,plain,
% 16.90/12.12 ((~(v141(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))) | (~v141(constB182))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28010, 28009])).
% 16.90/12.12 tff(28012,plain,
% 16.90/12.12 (~v141(constB182)),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28011, 28002])).
% 16.90/12.12 tff(28013,plain,
% 16.90/12.12 (((~v141(constB182)) | (~v145(constB182))) | v141(constB182)),
% 16.90/12.12 inference(tautology,[status(thm)],[])).
% 16.90/12.12 tff(28014,plain,
% 16.90/12.12 ((~v141(constB182)) | (~v145(constB182))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28013, 28012])).
% 16.90/12.12 tff(28015,plain,
% 16.90/12.12 ((~(v144(constB182) <=> (~((~v141(constB182)) | (~v145(constB182)))))) | (~v144(constB182)) | (~((~v141(constB182)) | (~v145(constB182))))),
% 16.90/12.12 inference(tautology,[status(thm)],[])).
% 16.90/12.12 tff(28016,plain,
% 16.90/12.12 ((~(v144(constB182) <=> (~((~v141(constB182)) | (~v145(constB182)))))) | (~v144(constB182))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28015, 28014])).
% 16.90/12.12 tff(28017,plain,
% 16.90/12.12 (~v144(constB182)),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28016, 28000])).
% 16.90/12.12 tff(28018,plain,
% 16.90/12.12 (((~v143(constB182)) | (~v144(constB182))) | v144(constB182)),
% 16.90/12.12 inference(tautology,[status(thm)],[])).
% 16.90/12.12 tff(28019,plain,
% 16.90/12.12 ((~v143(constB182)) | (~v144(constB182))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28018, 28017])).
% 16.90/12.12 tff(28020,plain,
% 16.90/12.12 ((~(v142(constB182) <=> (~((~v143(constB182)) | (~v144(constB182)))))) | (~v142(constB182)) | (~((~v143(constB182)) | (~v144(constB182))))),
% 16.90/12.12 inference(tautology,[status(thm)],[])).
% 16.90/12.12 tff(28021,plain,
% 16.90/12.12 (~v142(constB182)),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28020, 28019, 27998])).
% 16.90/12.12 tff(28022,plain,
% 16.90/12.12 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182))))))),
% 16.90/12.12 inference(rewrite,[status(thm)],[])).
% 16.90/12.12 tff(28023,plain,
% 16.90/12.12 ((v138(constB182) <=> (~((~v139(constB182)) | (~v132(constB182))))) <=> (v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182)))))),
% 16.90/12.12 inference(rewrite,[status(thm)],[])).
% 16.90/12.12 tff(28024,plain,
% 16.90/12.12 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v139(constB182)) | (~v132(constB182)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182))))))),
% 16.90/12.12 inference(monotonicity,[status(thm)],[28023])).
% 16.90/12.12 tff(28025,plain,
% 16.90/12.12 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v139(constB182)) | (~v132(constB182)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182))))))),
% 16.90/12.12 inference(transitivity,[status(thm)],[28024, 28022])).
% 16.90/12.12 tff(28026,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v139(constB182)) | (~v132(constB182)))))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(28027,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182)))))),
% 16.90/12.12 inference(modus_ponens,[status(thm)],[28026, 28025])).
% 16.90/12.12 tff(28028,plain,
% 16.90/12.12 (v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182))))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28027, 644])).
% 16.90/12.12 tff(28029,plain,
% 16.90/12.12 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB182) <=> v137(constB182))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(28030,plain,
% 16.90/12.12 (v132(constB182) <=> v137(constB182)),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28029, 558])).
% 16.90/12.12 tff(28031,plain,
% 16.90/12.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB181, constB182)) | (v137(constB182) <=> v135(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB181, constB182)) | (v137(constB182) <=> v135(constB181)))),
% 16.90/12.12 inference(rewrite,[status(thm)],[])).
% 16.90/12.12 tff(28032,plain,
% 16.90/12.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB181, constB182)) | (v137(constB182) <=> v135(constB181)))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(28033,plain,
% 16.90/12.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB181, constB182)) | (v137(constB182) <=> v135(constB181))),
% 16.90/12.12 inference(modus_ponens,[status(thm)],[28032, 28031])).
% 16.90/12.12 tff(28034,plain,
% 16.90/12.12 (v137(constB182) <=> v135(constB181)),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28033, 22358, 570])).
% 16.90/12.12 tff(28035,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB181) <=> (v138(constB181) | v142(constB181)))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(28036,plain,
% 16.90/12.12 (v135(constB181) <=> (v138(constB181) | v142(constB181))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28035, 584])).
% 16.90/12.12 tff(28037,plain,
% 16.90/12.12 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181))))))),
% 16.90/12.12 inference(rewrite,[status(thm)],[])).
% 16.90/12.12 tff(28038,plain,
% 16.90/12.12 ((v138(constB181) <=> (~((~v139(constB181)) | (~v132(constB181))))) <=> (v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181)))))),
% 16.90/12.12 inference(rewrite,[status(thm)],[])).
% 16.90/12.12 tff(28039,plain,
% 16.90/12.12 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v139(constB181)) | (~v132(constB181)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181))))))),
% 16.90/12.12 inference(monotonicity,[status(thm)],[28038])).
% 16.90/12.12 tff(28040,plain,
% 16.90/12.12 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v139(constB181)) | (~v132(constB181)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181))))))),
% 16.90/12.12 inference(transitivity,[status(thm)],[28039, 28037])).
% 16.90/12.12 tff(28041,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v139(constB181)) | (~v132(constB181)))))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(28042,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181)))))),
% 16.90/12.12 inference(modus_ponens,[status(thm)],[28041, 28040])).
% 16.90/12.12 tff(28043,plain,
% 16.90/12.12 (v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181))))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28042, 644])).
% 16.90/12.12 tff(28044,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB181)) <=> v140(constB181))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(28045,plain,
% 16.90/12.12 ((~v139(constB181)) <=> v140(constB181)),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28044, 203])).
% 16.90/12.12 tff(28046,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB181) <=> (v141(constB181) | v26(constB181)))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(28047,plain,
% 16.90/12.12 (v140(constB181) <=> (v141(constB181) | v26(constB181))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28046, 212])).
% 16.90/12.12 tff(28048,plain,
% 16.90/12.12 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB181) <=> (~((~v39(constB181)) | (~v9(constB181)))))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(28049,plain,
% 16.90/12.12 (v141(constB181) <=> (~((~v39(constB181)) | (~v9(constB181))))),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28048, 130])).
% 16.90/12.12 tff(28050,plain,
% 16.90/12.12 (((~![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)))),
% 16.90/12.12 inference(rewrite,[status(thm)],[])).
% 16.90/12.12 tff(28051,plain,
% 16.90/12.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181)))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(28052,plain,
% 16.90/12.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181))),
% 16.90/12.12 inference(modus_ponens,[status(thm)],[28051, 28050])).
% 16.90/12.12 tff(28053,plain,
% 16.90/12.12 (v13(constB182) <=> v9(constB181)),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28052, 22358, 226])).
% 16.90/12.12 tff(28054,plain,
% 16.90/12.12 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB182) <=> v13(constB182))),
% 16.90/12.12 inference(quant_inst,[status(thm)],[])).
% 16.90/12.12 tff(28055,plain,
% 16.90/12.12 (v6(constB182) <=> v13(constB182)),
% 16.90/12.12 inference(unit_resolution,[status(thm)],[28054, 240])).
% 16.90/12.13 tff(28056,plain,
% 16.90/12.13 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB182)) <=> v6(constB182))),
% 16.90/12.13 inference(quant_inst,[status(thm)],[])).
% 16.90/12.13 tff(28057,plain,
% 16.90/12.13 ((~v21(constB182)) <=> v6(constB182)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28056, 249])).
% 16.90/12.13 tff(28058,plain,
% 16.90/12.13 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB182) <=> (v20(constB182) | v21(constB182)))),
% 16.90/12.13 inference(quant_inst,[status(thm)],[])).
% 16.90/12.13 tff(28059,plain,
% 16.90/12.13 (v19(constB182) <=> (v20(constB182) | v21(constB182))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28058, 258])).
% 16.90/12.13 tff(28060,plain,
% 16.90/12.13 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182)))))),
% 16.90/12.13 inference(quant_inst,[status(thm)],[])).
% 16.90/12.13 tff(28061,plain,
% 16.90/12.13 (v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182))))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28060, 270])).
% 16.90/12.13 tff(28062,plain,
% 16.90/12.13 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB182)) <=> v18(constB182))),
% 16.90/12.13 inference(quant_inst,[status(thm)],[])).
% 16.90/12.13 tff(28063,plain,
% 16.90/12.13 ((~v4(constB182)) <=> v18(constB182)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28062, 279])).
% 16.90/12.13 tff(28064,plain,
% 16.90/12.13 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB182)),
% 16.90/12.13 inference(quant_inst,[status(thm)],[])).
% 16.90/12.13 tff(28065,plain,
% 16.90/12.13 (v4(constB182)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28064, 288])).
% 16.90/12.13 tff(28066,plain,
% 16.90/12.13 ((~((~v4(constB182)) <=> v18(constB182))) | (~v4(constB182)) | (~v18(constB182))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28067,plain,
% 16.90/12.13 (~v18(constB182)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28066, 28065, 28063])).
% 16.90/12.13 tff(28068,plain,
% 16.90/12.13 ((~(v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182)))))) | v18(constB182) | ((~v19(constB182)) | (~v22(constB182)))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28069,plain,
% 16.90/12.13 ((~v19(constB182)) | (~v22(constB182))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28068, 28067, 28061])).
% 16.90/12.13 tff(28070,plain,
% 16.90/12.13 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB182) <=> (v1(constB182) | v6(constB182)))),
% 16.90/12.13 inference(quant_inst,[status(thm)],[])).
% 16.90/12.13 tff(28071,plain,
% 16.90/12.13 (v22(constB182) <=> (v1(constB182) | v6(constB182))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28070, 301])).
% 16.90/12.13 tff(28072,plain,
% 16.90/12.13 ((v1(constB182) | v6(constB182)) | (~v1(constB182))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28073,plain,
% 16.90/12.13 (v1(constB182) | v6(constB182)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28072, 24644])).
% 16.90/12.13 tff(28074,plain,
% 16.90/12.13 ((~(v22(constB182) <=> (v1(constB182) | v6(constB182)))) | v22(constB182) | (~(v1(constB182) | v6(constB182)))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28075,plain,
% 16.90/12.13 ((~(v22(constB182) <=> (v1(constB182) | v6(constB182)))) | v22(constB182)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28074, 28073])).
% 16.90/12.13 tff(28076,plain,
% 16.90/12.13 (v22(constB182)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28075, 28071])).
% 16.90/12.13 tff(28077,plain,
% 16.90/12.13 ((~((~v19(constB182)) | (~v22(constB182)))) | (~v19(constB182)) | (~v22(constB182))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28078,plain,
% 16.90/12.13 ((~((~v19(constB182)) | (~v22(constB182)))) | (~v19(constB182))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28077, 28076])).
% 16.90/12.13 tff(28079,plain,
% 16.90/12.13 (~v19(constB182)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28078, 28069])).
% 16.90/12.13 tff(28080,plain,
% 16.90/12.13 ((~(v19(constB182) <=> (v20(constB182) | v21(constB182)))) | v19(constB182) | (~(v20(constB182) | v21(constB182)))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28081,plain,
% 16.90/12.13 (~(v20(constB182) | v21(constB182))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28080, 28079, 28059])).
% 16.90/12.13 tff(28082,plain,
% 16.90/12.13 ((v20(constB182) | v21(constB182)) | (~v21(constB182))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28083,plain,
% 16.90/12.13 (~v21(constB182)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28082, 28081])).
% 16.90/12.13 tff(28084,plain,
% 16.90/12.13 ((~((~v21(constB182)) <=> v6(constB182))) | v21(constB182) | v6(constB182)),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28085,plain,
% 16.90/12.13 (v6(constB182)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28084, 28083, 28057])).
% 16.90/12.13 tff(28086,plain,
% 16.90/12.13 ((~(v6(constB182) <=> v13(constB182))) | (~v6(constB182)) | v13(constB182)),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28087,plain,
% 16.90/12.13 (v13(constB182)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28086, 28085, 28055])).
% 16.90/12.13 tff(28088,plain,
% 16.90/12.13 ((~(v13(constB182) <=> v9(constB181))) | (~v13(constB182)) | v9(constB181)),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28089,plain,
% 16.90/12.13 (v9(constB181)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28088, 28087, 28053])).
% 16.90/12.13 tff(28090,plain,
% 16.90/12.13 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB181)) <=> v1(constB181))),
% 16.90/12.13 inference(quant_inst,[status(thm)],[])).
% 16.90/12.13 tff(28091,plain,
% 16.90/12.13 ((~v39(constB181)) <=> v1(constB181)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28090, 139])).
% 16.90/12.13 tff(28092,plain,
% 16.90/12.13 ((~((~v39(constB181)) <=> v1(constB181))) | v39(constB181) | v1(constB181)),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28093,plain,
% 16.90/12.13 ((~((~v39(constB181)) <=> v1(constB181))) | v39(constB181)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28092, 22397])).
% 16.90/12.13 tff(28094,plain,
% 16.90/12.13 (v39(constB181)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28093, 28091])).
% 16.90/12.13 tff(28095,plain,
% 16.90/12.13 ((~((~v39(constB181)) | (~v9(constB181)))) | (~v39(constB181)) | (~v9(constB181))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28096,plain,
% 16.90/12.13 ((~((~v39(constB181)) | (~v9(constB181)))) | (~v9(constB181))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28095, 28094])).
% 16.90/12.13 tff(28097,plain,
% 16.90/12.13 (~((~v39(constB181)) | (~v9(constB181)))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28096, 28089])).
% 16.90/12.13 tff(28098,plain,
% 16.90/12.13 ((~(v141(constB181) <=> (~((~v39(constB181)) | (~v9(constB181)))))) | v141(constB181) | ((~v39(constB181)) | (~v9(constB181)))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28099,plain,
% 16.90/12.13 (v141(constB181)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28098, 28097, 28049])).
% 16.90/12.13 tff(28100,plain,
% 16.90/12.13 ((v141(constB181) | v26(constB181)) | (~v141(constB181))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28101,plain,
% 16.90/12.13 (v141(constB181) | v26(constB181)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28100, 28099])).
% 16.90/12.13 tff(28102,plain,
% 16.90/12.13 ((~(v140(constB181) <=> (v141(constB181) | v26(constB181)))) | v140(constB181) | (~(v141(constB181) | v26(constB181)))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28103,plain,
% 16.90/12.13 (v140(constB181)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28102, 28101, 28047])).
% 16.90/12.13 tff(28104,plain,
% 16.90/12.13 ((~((~v139(constB181)) <=> v140(constB181))) | (~v139(constB181)) | (~v140(constB181))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28105,plain,
% 16.90/12.13 (~v139(constB181)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28104, 28103, 28045])).
% 16.90/12.13 tff(28106,plain,
% 16.90/12.13 (((~v132(constB181)) | (~v139(constB181))) | v139(constB181)),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28107,plain,
% 16.90/12.13 ((~v132(constB181)) | (~v139(constB181))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28106, 28105])).
% 16.90/12.13 tff(28108,plain,
% 16.90/12.13 ((~(v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181)))))) | (~v138(constB181)) | (~((~v132(constB181)) | (~v139(constB181))))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28109,plain,
% 16.90/12.13 (~v138(constB181)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28108, 28107, 28043])).
% 16.90/12.13 tff(28110,plain,
% 16.90/12.13 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB181) <=> (~((~v143(constB181)) | (~v144(constB181)))))),
% 16.90/12.13 inference(quant_inst,[status(thm)],[])).
% 16.90/12.13 tff(28111,plain,
% 16.90/12.13 (v142(constB181) <=> (~((~v143(constB181)) | (~v144(constB181))))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28110, 596])).
% 16.90/12.13 tff(28112,plain,
% 16.90/12.13 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB181) <=> (~((~v141(constB181)) | (~v145(constB181)))))),
% 16.90/12.13 inference(quant_inst,[status(thm)],[])).
% 16.90/12.13 tff(28113,plain,
% 16.90/12.13 (v144(constB181) <=> (~((~v141(constB181)) | (~v145(constB181))))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28112, 608])).
% 16.90/12.13 tff(28114,plain,
% 16.90/12.13 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB181) <=> (~(v84(constB181, 1) | v84(constB181, 2) | (~v84(constB181, 0)))))),
% 16.90/12.13 inference(quant_inst,[status(thm)],[])).
% 16.90/12.13 tff(28115,plain,
% 16.90/12.13 (v145(constB181) <=> (~(v84(constB181, 1) | v84(constB181, 2) | (~v84(constB181, 0))))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28114, 755])).
% 16.90/12.13 tff(28116,plain,
% 16.90/12.13 ((v84(constB181, 1) | v84(constB181, 2) | (~v84(constB181, 0))) | (~v84(constB181, 1))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28117,plain,
% 16.90/12.13 (v84(constB181, 1) | v84(constB181, 2) | (~v84(constB181, 0))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28116, 24602])).
% 16.90/12.13 tff(28118,plain,
% 16.90/12.13 ((~(v145(constB181) <=> (~(v84(constB181, 1) | v84(constB181, 2) | (~v84(constB181, 0)))))) | (~v145(constB181)) | (~(v84(constB181, 1) | v84(constB181, 2) | (~v84(constB181, 0))))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28119,plain,
% 16.90/12.13 (~v145(constB181)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28118, 28117, 28115])).
% 16.90/12.13 tff(28120,plain,
% 16.90/12.13 (((~v141(constB181)) | (~v145(constB181))) | v145(constB181)),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28121,plain,
% 16.90/12.13 ((~v141(constB181)) | (~v145(constB181))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28120, 28119])).
% 16.90/12.13 tff(28122,plain,
% 16.90/12.13 ((~(v144(constB181) <=> (~((~v141(constB181)) | (~v145(constB181)))))) | (~v144(constB181)) | (~((~v141(constB181)) | (~v145(constB181))))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28123,plain,
% 16.90/12.13 (~v144(constB181)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28122, 28121, 28113])).
% 16.90/12.13 tff(28124,plain,
% 16.90/12.13 (((~v143(constB181)) | (~v144(constB181))) | v144(constB181)),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28125,plain,
% 16.90/12.13 ((~v143(constB181)) | (~v144(constB181))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28124, 28123])).
% 16.90/12.13 tff(28126,plain,
% 16.90/12.13 ((~(v142(constB181) <=> (~((~v143(constB181)) | (~v144(constB181)))))) | (~v142(constB181)) | (~((~v143(constB181)) | (~v144(constB181))))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28127,plain,
% 16.90/12.13 (~v142(constB181)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28126, 28125, 28111])).
% 16.90/12.13 tff(28128,plain,
% 16.90/12.13 ((~(v138(constB181) | v142(constB181))) | v138(constB181) | v142(constB181)),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28129,plain,
% 16.90/12.13 (~(v138(constB181) | v142(constB181))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28128, 28127, 28109])).
% 16.90/12.13 tff(28130,plain,
% 16.90/12.13 ((~(v135(constB181) <=> (v138(constB181) | v142(constB181)))) | (~v135(constB181)) | (v138(constB181) | v142(constB181))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28131,plain,
% 16.90/12.13 (~v135(constB181)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28130, 28129, 28036])).
% 16.90/12.13 tff(28132,plain,
% 16.90/12.13 ((~(v137(constB182) <=> v135(constB181))) | (~v137(constB182)) | v135(constB181)),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28133,plain,
% 16.90/12.13 (~v137(constB182)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28132, 28131, 28034])).
% 16.90/12.13 tff(28134,plain,
% 16.90/12.13 ((~(v132(constB182) <=> v137(constB182))) | (~v132(constB182)) | v137(constB182)),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28135,plain,
% 16.90/12.13 (~v132(constB182)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28134, 28133, 28030])).
% 16.90/12.13 tff(28136,plain,
% 16.90/12.13 (((~v132(constB182)) | (~v139(constB182))) | v132(constB182)),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28137,plain,
% 16.90/12.13 ((~v132(constB182)) | (~v139(constB182))),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28136, 28135])).
% 16.90/12.13 tff(28138,plain,
% 16.90/12.13 ((~(v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182)))))) | (~v138(constB182)) | (~((~v132(constB182)) | (~v139(constB182))))),
% 16.90/12.13 inference(tautology,[status(thm)],[])).
% 16.90/12.13 tff(28139,plain,
% 16.90/12.13 (~v138(constB182)),
% 16.90/12.13 inference(unit_resolution,[status(thm)],[28138, 28137, 28028])).
% 16.90/12.13 tff(28140,plain,
% 16.90/12.13 ((~(v138(constB182) | v142(constB182))) | v138(constB182) | v142(constB182)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28141,plain,
% 17.00/12.13 (~(v138(constB182) | v142(constB182))),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28140, 28139, 28021])).
% 17.00/12.13 tff(28142,plain,
% 17.00/12.13 ((~(v135(constB182) <=> (v138(constB182) | v142(constB182)))) | (~v135(constB182)) | (v138(constB182) | v142(constB182))),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28143,plain,
% 17.00/12.13 (~v135(constB182)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28142, 28141, 27996])).
% 17.00/12.13 tff(28144,plain,
% 17.00/12.13 ((~(v137(constB183) <=> v135(constB182))) | (~v137(constB183)) | v135(constB182)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28145,plain,
% 17.00/12.13 (~v137(constB183)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28144, 28143, 27994])).
% 17.00/12.13 tff(28146,plain,
% 17.00/12.13 ((~(v132(constB183) <=> v137(constB183))) | (~v132(constB183)) | v137(constB183)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28147,plain,
% 17.00/12.13 (~v132(constB183)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28146, 28145, 27990])).
% 17.00/12.13 tff(28148,plain,
% 17.00/12.13 (((~v132(constB183)) | (~v155(constB183))) | v132(constB183)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28149,plain,
% 17.00/12.13 ((~v132(constB183)) | (~v155(constB183))),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28148, 28147])).
% 17.00/12.13 tff(28150,plain,
% 17.00/12.13 ((~(v154(constB183) <=> (~((~v132(constB183)) | (~v155(constB183)))))) | (~v154(constB183)) | (~((~v132(constB183)) | (~v155(constB183))))),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28151,plain,
% 17.00/12.13 (~v154(constB183)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28150, 28149, 27988])).
% 17.00/12.13 tff(28152,plain,
% 17.00/12.13 ((~(v153(constB183) | v154(constB183))) | v153(constB183) | v154(constB183)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28153,plain,
% 17.00/12.13 (~(v153(constB183) | v154(constB183))),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28152, 28151, 27981])).
% 17.00/12.13 tff(28154,plain,
% 17.00/12.13 ((~(v150(constB183) <=> (v153(constB183) | v154(constB183)))) | (~v150(constB183)) | (v153(constB183) | v154(constB183))),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28155,plain,
% 17.00/12.13 (~v150(constB183)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28154, 28153, 27970])).
% 17.00/12.13 tff(28156,plain,
% 17.00/12.13 ((~(v152(constB184) <=> v150(constB183))) | (~v152(constB184)) | v150(constB183)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28157,plain,
% 17.00/12.13 (~v152(constB184)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28156, 28155, 27968])).
% 17.00/12.13 tff(28158,plain,
% 17.00/12.13 ((~(v130(constB184) <=> v152(constB184))) | (~v130(constB184)) | v152(constB184)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28159,plain,
% 17.00/12.13 (~v130(constB184)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28158, 28157, 27964])).
% 17.00/12.13 tff(28160,plain,
% 17.00/12.13 (((~v130(constB184)) | (~v139(constB184))) | v130(constB184)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28161,plain,
% 17.00/12.13 ((~v130(constB184)) | (~v139(constB184))),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28160, 28159])).
% 17.00/12.13 tff(28162,plain,
% 17.00/12.13 ((~(v153(constB184) <=> (~((~v130(constB184)) | (~v139(constB184)))))) | (~v153(constB184)) | (~((~v130(constB184)) | (~v139(constB184))))),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28163,plain,
% 17.00/12.13 (~v153(constB184)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28162, 28161, 27962])).
% 17.00/12.13 tff(28164,plain,
% 17.00/12.13 ((~(v153(constB184) | v154(constB184))) | v153(constB184) | v154(constB184)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28165,plain,
% 17.00/12.13 (~(v153(constB184) | v154(constB184))),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28164, 28163, 27955])).
% 17.00/12.13 tff(28166,plain,
% 17.00/12.13 ((~(v150(constB184) <=> (v153(constB184) | v154(constB184)))) | (~v150(constB184)) | (v153(constB184) | v154(constB184))),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28167,plain,
% 17.00/12.13 (~v150(constB184)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28166, 28165, 27932])).
% 17.00/12.13 tff(28168,plain,
% 17.00/12.13 ((~(v152(constB185) <=> v150(constB184))) | (~v152(constB185)) | v150(constB184)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28169,plain,
% 17.00/12.13 (~v152(constB185)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28168, 28167, 27930])).
% 17.00/12.13 tff(28170,plain,
% 17.00/12.13 ((~(v130(constB185) <=> v152(constB185))) | (~v130(constB185)) | v152(constB185)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28171,plain,
% 17.00/12.13 (~v130(constB185)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28170, 28169, 27926])).
% 17.00/12.13 tff(28172,plain,
% 17.00/12.13 (((~v130(constB185)) | (~v155(constB185))) | v130(constB185)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28173,plain,
% 17.00/12.13 ((~v130(constB185)) | (~v155(constB185))),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28172, 28171])).
% 17.00/12.13 tff(28174,plain,
% 17.00/12.13 ((~(v164(constB185) <=> (~((~v130(constB185)) | (~v155(constB185)))))) | (~v164(constB185)) | (~((~v130(constB185)) | (~v155(constB185))))),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28175,plain,
% 17.00/12.13 (~v164(constB185)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28174, 28173, 27924])).
% 17.00/12.13 tff(28176,plain,
% 17.00/12.13 ((~(v163(constB185) | v164(constB185))) | v163(constB185) | v164(constB185)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28177,plain,
% 17.00/12.13 (~(v163(constB185) | v164(constB185))),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28176, 28175, 27917])).
% 17.00/12.13 tff(28178,plain,
% 17.00/12.13 ((~(v160(constB185) <=> (v163(constB185) | v164(constB185)))) | (~v160(constB185)) | (v163(constB185) | v164(constB185))),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28179,plain,
% 17.00/12.13 (~v160(constB185)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28178, 28177, 27906])).
% 17.00/12.13 tff(28180,plain,
% 17.00/12.13 ((~(v162(constB186) <=> v160(constB185))) | (~v162(constB186)) | v160(constB185)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28181,plain,
% 17.00/12.13 (~v162(constB186)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28180, 28179, 27904])).
% 17.00/12.13 tff(28182,plain,
% 17.00/12.13 ((~(v128(constB186) <=> v162(constB186))) | (~v128(constB186)) | v162(constB186)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28183,plain,
% 17.00/12.13 (~v128(constB186)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28182, 28181, 27900])).
% 17.00/12.13 tff(28184,plain,
% 17.00/12.13 (((~v128(constB186)) | (~v139(constB186))) | v128(constB186)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28185,plain,
% 17.00/12.13 ((~v128(constB186)) | (~v139(constB186))),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28184, 28183])).
% 17.00/12.13 tff(28186,plain,
% 17.00/12.13 ((~(v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186)))))) | (~v163(constB186)) | (~((~v128(constB186)) | (~v139(constB186))))),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28187,plain,
% 17.00/12.13 (~v163(constB186)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28186, 28185, 27898])).
% 17.00/12.13 tff(28188,plain,
% 17.00/12.13 ((~(v163(constB186) | v164(constB186))) | v163(constB186) | v164(constB186)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28189,plain,
% 17.00/12.13 (~(v163(constB186) | v164(constB186))),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28188, 28187, 27891])).
% 17.00/12.13 tff(28190,plain,
% 17.00/12.13 ((~(v160(constB186) <=> (v163(constB186) | v164(constB186)))) | (~v160(constB186)) | (v163(constB186) | v164(constB186))),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28191,plain,
% 17.00/12.13 (~v160(constB186)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28190, 28189, 27880])).
% 17.00/12.13 tff(28192,plain,
% 17.00/12.13 ((~(v162(constB187) <=> v160(constB186))) | (~v162(constB187)) | v160(constB186)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28193,plain,
% 17.00/12.13 (~v162(constB187)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28192, 28191, 27878])).
% 17.00/12.13 tff(28194,plain,
% 17.00/12.13 ($false),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28193, 27874])).
% 17.00/12.13 tff(28195,plain,(~(constB187 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.00/12.13 tff(28196,assumption,(constB157 = VarCurr!0), introduced(assumption)).
% 17.00/12.13 tff(28197,plain,
% 17.00/12.13 (v162(constB157) <=> v162(VarCurr!0)),
% 17.00/12.13 inference(monotonicity,[status(thm)],[28196])).
% 17.00/12.13 tff(28198,plain,
% 17.00/12.13 (v162(VarCurr!0) <=> v162(constB157)),
% 17.00/12.13 inference(symmetry,[status(thm)],[28197])).
% 17.00/12.13 tff(28199,plain,
% 17.00/12.13 (v162(constB157)),
% 17.00/12.13 inference(modus_ponens,[status(thm)],[59, 28198])).
% 17.00/12.13 tff(28200,plain,
% 17.00/12.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB156, constB157)) | (v162(constB157) <=> v160(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB156, constB157)) | (v162(constB157) <=> v160(constB156)))),
% 17.00/12.13 inference(rewrite,[status(thm)],[])).
% 17.00/12.13 tff(28201,plain,
% 17.00/12.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB156, constB157)) | (v162(constB157) <=> v160(constB156)))),
% 17.00/12.13 inference(quant_inst,[status(thm)],[])).
% 17.00/12.13 tff(28202,plain,
% 17.00/12.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB156, constB157)) | (v162(constB157) <=> v160(constB156))),
% 17.00/12.13 inference(modus_ponens,[status(thm)],[28201, 28200])).
% 17.00/12.13 tff(28203,plain,
% 17.00/12.13 (v162(constB157) <=> v160(constB156)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28202, 14816, 70])).
% 17.00/12.13 tff(28204,plain,
% 17.00/12.13 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB156) <=> (v163(constB156) | v164(constB156)))),
% 17.00/12.13 inference(quant_inst,[status(thm)],[])).
% 17.00/12.13 tff(28205,plain,
% 17.00/12.13 (v160(constB156) <=> (v163(constB156) | v164(constB156))),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28204, 84])).
% 17.00/12.13 tff(28206,plain,
% 17.00/12.13 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v130(constB156)) | (~v155(constB156)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v130(constB156)) | (~v155(constB156))))))),
% 17.00/12.13 inference(rewrite,[status(thm)],[])).
% 17.00/12.13 tff(28207,plain,
% 17.00/12.13 ((v164(constB156) <=> (~((~v155(constB156)) | (~v130(constB156))))) <=> (v164(constB156) <=> (~((~v130(constB156)) | (~v155(constB156)))))),
% 17.00/12.13 inference(rewrite,[status(thm)],[])).
% 17.00/12.13 tff(28208,plain,
% 17.00/12.13 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v155(constB156)) | (~v130(constB156)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v130(constB156)) | (~v155(constB156))))))),
% 17.00/12.13 inference(monotonicity,[status(thm)],[28207])).
% 17.00/12.13 tff(28209,plain,
% 17.00/12.13 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v155(constB156)) | (~v130(constB156)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v130(constB156)) | (~v155(constB156))))))),
% 17.00/12.13 inference(transitivity,[status(thm)],[28208, 28206])).
% 17.00/12.13 tff(28210,plain,
% 17.00/12.13 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v155(constB156)) | (~v130(constB156)))))),
% 17.00/12.13 inference(quant_inst,[status(thm)],[])).
% 17.00/12.13 tff(28211,plain,
% 17.00/12.13 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v130(constB156)) | (~v155(constB156)))))),
% 17.00/12.13 inference(modus_ponens,[status(thm)],[28210, 28209])).
% 17.00/12.13 tff(28212,plain,
% 17.00/12.13 (v164(constB156) <=> (~((~v130(constB156)) | (~v155(constB156))))),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28211, 96])).
% 17.00/12.13 tff(28213,plain,
% 17.00/12.13 (((~v130(constB156)) | (~v155(constB156))) | v155(constB156)),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28214,plain,
% 17.00/12.13 ((~v130(constB156)) | (~v155(constB156))),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28213, 27079])).
% 17.00/12.13 tff(28215,plain,
% 17.00/12.13 ((~(v164(constB156) <=> (~((~v130(constB156)) | (~v155(constB156)))))) | (~v164(constB156)) | (~((~v130(constB156)) | (~v155(constB156))))),
% 17.00/12.13 inference(tautology,[status(thm)],[])).
% 17.00/12.13 tff(28216,plain,
% 17.00/12.13 (~v164(constB156)),
% 17.00/12.13 inference(unit_resolution,[status(thm)],[28215, 28214, 28212])).
% 17.00/12.13 tff(28217,plain,
% 17.00/12.13 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156))))))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28218,plain,
% 17.00/12.14 ((v163(constB156) <=> (~((~v139(constB156)) | (~v128(constB156))))) <=> (v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156)))))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28219,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v139(constB156)) | (~v128(constB156)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156))))))),
% 17.00/12.14 inference(monotonicity,[status(thm)],[28218])).
% 17.00/12.14 tff(28220,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v139(constB156)) | (~v128(constB156)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156))))))),
% 17.00/12.14 inference(transitivity,[status(thm)],[28219, 28217])).
% 17.00/12.14 tff(28221,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v139(constB156)) | (~v128(constB156)))))),
% 17.00/12.14 inference(quant_inst,[status(thm)],[])).
% 17.00/12.14 tff(28222,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156)))))),
% 17.00/12.14 inference(modus_ponens,[status(thm)],[28221, 28220])).
% 17.00/12.14 tff(28223,plain,
% 17.00/12.14 (v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156))))),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28222, 171])).
% 17.00/12.14 tff(28224,plain,
% 17.00/12.14 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB156) <=> v162(constB156))),
% 17.00/12.14 inference(quant_inst,[status(thm)],[])).
% 17.00/12.14 tff(28225,plain,
% 17.00/12.14 (v128(constB156) <=> v162(constB156)),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28224, 13])).
% 17.00/12.14 tff(28226,plain,
% 17.00/12.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB155, constB156)) | (v162(constB156) <=> v160(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB155, constB156)) | (v162(constB156) <=> v160(constB155)))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28227,plain,
% 17.00/12.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB155, constB156)) | (v162(constB156) <=> v160(constB155)))),
% 17.00/12.14 inference(quant_inst,[status(thm)],[])).
% 17.00/12.14 tff(28228,plain,
% 17.00/12.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB155, constB156)) | (v162(constB156) <=> v160(constB155))),
% 17.00/12.14 inference(modus_ponens,[status(thm)],[28227, 28226])).
% 17.00/12.14 tff(28229,plain,
% 17.00/12.14 (v162(constB156) <=> v160(constB155)),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28228, 14852, 70])).
% 17.00/12.14 tff(28230,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB155) <=> (v163(constB155) | v164(constB155)))),
% 17.00/12.14 inference(quant_inst,[status(thm)],[])).
% 17.00/12.14 tff(28231,plain,
% 17.00/12.14 (v160(constB155) <=> (v163(constB155) | v164(constB155))),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28230, 84])).
% 17.00/12.14 tff(28232,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155))))))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28233,plain,
% 17.00/12.14 ((v163(constB155) <=> (~((~v139(constB155)) | (~v128(constB155))))) <=> (v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155)))))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28234,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v139(constB155)) | (~v128(constB155)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155))))))),
% 17.00/12.14 inference(monotonicity,[status(thm)],[28233])).
% 17.00/12.14 tff(28235,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v139(constB155)) | (~v128(constB155)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155))))))),
% 17.00/12.14 inference(transitivity,[status(thm)],[28234, 28232])).
% 17.00/12.14 tff(28236,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v139(constB155)) | (~v128(constB155)))))),
% 17.00/12.14 inference(quant_inst,[status(thm)],[])).
% 17.00/12.14 tff(28237,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155)))))),
% 17.00/12.14 inference(modus_ponens,[status(thm)],[28236, 28235])).
% 17.00/12.14 tff(28238,plain,
% 17.00/12.14 (v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155))))),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28237, 171])).
% 17.00/12.14 tff(28239,plain,
% 17.00/12.14 (((~v128(constB155)) | (~v139(constB155))) | v139(constB155)),
% 17.00/12.14 inference(tautology,[status(thm)],[])).
% 17.00/12.14 tff(28240,plain,
% 17.00/12.14 ((~v128(constB155)) | (~v139(constB155))),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28239, 27167])).
% 17.00/12.14 tff(28241,plain,
% 17.00/12.14 ((~(v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155)))))) | (~v163(constB155)) | (~((~v128(constB155)) | (~v139(constB155))))),
% 17.00/12.14 inference(tautology,[status(thm)],[])).
% 17.00/12.14 tff(28242,plain,
% 17.00/12.14 (~v163(constB155)),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28241, 28240, 28238])).
% 17.00/12.14 tff(28243,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v130(constB155)) | (~v155(constB155)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v130(constB155)) | (~v155(constB155))))))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28244,plain,
% 17.00/12.14 ((v164(constB155) <=> (~((~v155(constB155)) | (~v130(constB155))))) <=> (v164(constB155) <=> (~((~v130(constB155)) | (~v155(constB155)))))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28245,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v155(constB155)) | (~v130(constB155)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v130(constB155)) | (~v155(constB155))))))),
% 17.00/12.14 inference(monotonicity,[status(thm)],[28244])).
% 17.00/12.14 tff(28246,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v155(constB155)) | (~v130(constB155)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v130(constB155)) | (~v155(constB155))))))),
% 17.00/12.14 inference(transitivity,[status(thm)],[28245, 28243])).
% 17.00/12.14 tff(28247,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v155(constB155)) | (~v130(constB155)))))),
% 17.00/12.14 inference(quant_inst,[status(thm)],[])).
% 17.00/12.14 tff(28248,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v130(constB155)) | (~v155(constB155)))))),
% 17.00/12.14 inference(modus_ponens,[status(thm)],[28247, 28246])).
% 17.00/12.14 tff(28249,plain,
% 17.00/12.14 (v164(constB155) <=> (~((~v130(constB155)) | (~v155(constB155))))),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28248, 96])).
% 17.00/12.14 tff(28250,plain,
% 17.00/12.14 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB155) <=> v152(constB155))),
% 17.00/12.14 inference(quant_inst,[status(thm)],[])).
% 17.00/12.14 tff(28251,plain,
% 17.00/12.14 (v130(constB155) <=> v152(constB155)),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28250, 361])).
% 17.00/12.14 tff(28252,plain,
% 17.00/12.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB154, constB155)) | (v152(constB155) <=> v150(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB154, constB155)) | (v152(constB155) <=> v150(constB154)))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28253,plain,
% 17.00/12.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB154, constB155)) | (v152(constB155) <=> v150(constB154)))),
% 17.00/12.14 inference(quant_inst,[status(thm)],[])).
% 17.00/12.14 tff(28254,plain,
% 17.00/12.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB154, constB155)) | (v152(constB155) <=> v150(constB154))),
% 17.00/12.14 inference(modus_ponens,[status(thm)],[28253, 28252])).
% 17.00/12.14 tff(28255,plain,
% 17.00/12.14 (v152(constB155) <=> v150(constB154)),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28254, 14877, 373])).
% 17.00/12.14 tff(28256,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB154) <=> (v153(constB154) | v154(constB154)))),
% 17.00/12.14 inference(quant_inst,[status(thm)],[])).
% 17.00/12.14 tff(28257,plain,
% 17.00/12.14 (v150(constB154) <=> (v153(constB154) | v154(constB154))),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28256, 387])).
% 17.00/12.14 tff(28258,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB154) <=> (~((~v132(constB154)) | (~v155(constB154)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB154) <=> (~((~v132(constB154)) | (~v155(constB154))))))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28259,plain,
% 17.00/12.14 ((v154(constB154) <=> (~((~v155(constB154)) | (~v132(constB154))))) <=> (v154(constB154) <=> (~((~v132(constB154)) | (~v155(constB154)))))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28260,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB154) <=> (~((~v155(constB154)) | (~v132(constB154)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB154) <=> (~((~v132(constB154)) | (~v155(constB154))))))),
% 17.00/12.14 inference(monotonicity,[status(thm)],[28259])).
% 17.00/12.14 tff(28261,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB154) <=> (~((~v155(constB154)) | (~v132(constB154)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB154) <=> (~((~v132(constB154)) | (~v155(constB154))))))),
% 17.00/12.14 inference(transitivity,[status(thm)],[28260, 28258])).
% 17.00/12.14 tff(28262,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB154) <=> (~((~v155(constB154)) | (~v132(constB154)))))),
% 17.00/12.14 inference(quant_inst,[status(thm)],[])).
% 17.00/12.14 tff(28263,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB154) <=> (~((~v132(constB154)) | (~v155(constB154)))))),
% 17.00/12.14 inference(modus_ponens,[status(thm)],[28262, 28261])).
% 17.00/12.14 tff(28264,plain,
% 17.00/12.14 (v154(constB154) <=> (~((~v132(constB154)) | (~v155(constB154))))),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28263, 399])).
% 17.00/12.14 tff(28265,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB154) <=> (~((~v141(constB154)) | (~v143(constB154)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB154) <=> (~((~v141(constB154)) | (~v143(constB154))))))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28266,plain,
% 17.00/12.14 ((v155(constB154) <=> (~((~v143(constB154)) | (~v141(constB154))))) <=> (v155(constB154) <=> (~((~v141(constB154)) | (~v143(constB154)))))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28267,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB154) <=> (~((~v143(constB154)) | (~v141(constB154)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB154) <=> (~((~v141(constB154)) | (~v143(constB154))))))),
% 17.00/12.14 inference(monotonicity,[status(thm)],[28266])).
% 17.00/12.14 tff(28268,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB154) <=> (~((~v143(constB154)) | (~v141(constB154)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB154) <=> (~((~v141(constB154)) | (~v143(constB154))))))),
% 17.00/12.14 inference(transitivity,[status(thm)],[28267, 28265])).
% 17.00/12.14 tff(28269,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB154) <=> (~((~v143(constB154)) | (~v141(constB154)))))),
% 17.00/12.14 inference(quant_inst,[status(thm)],[])).
% 17.00/12.14 tff(28270,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB154) <=> (~((~v141(constB154)) | (~v143(constB154)))))),
% 17.00/12.14 inference(modus_ponens,[status(thm)],[28269, 28268])).
% 17.00/12.14 tff(28271,plain,
% 17.00/12.14 (v155(constB154) <=> (~((~v141(constB154)) | (~v143(constB154))))),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28270, 113])).
% 17.00/12.14 tff(28272,plain,
% 17.00/12.14 (((~v141(constB154)) | (~v143(constB154))) | v141(constB154)),
% 17.00/12.14 inference(tautology,[status(thm)],[])).
% 17.00/12.14 tff(28273,plain,
% 17.00/12.14 ((~v141(constB154)) | (~v143(constB154))),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28272, 27202])).
% 17.00/12.14 tff(28274,plain,
% 17.00/12.14 ((~(v155(constB154) <=> (~((~v141(constB154)) | (~v143(constB154)))))) | (~v155(constB154)) | (~((~v141(constB154)) | (~v143(constB154))))),
% 17.00/12.14 inference(tautology,[status(thm)],[])).
% 17.00/12.14 tff(28275,plain,
% 17.00/12.14 ((~(v155(constB154) <=> (~((~v141(constB154)) | (~v143(constB154)))))) | (~v155(constB154))),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28274, 28273])).
% 17.00/12.14 tff(28276,plain,
% 17.00/12.14 (~v155(constB154)),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28275, 28271])).
% 17.00/12.14 tff(28277,plain,
% 17.00/12.14 (((~v132(constB154)) | (~v155(constB154))) | v155(constB154)),
% 17.00/12.14 inference(tautology,[status(thm)],[])).
% 17.00/12.14 tff(28278,plain,
% 17.00/12.14 ((~v132(constB154)) | (~v155(constB154))),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28277, 28276])).
% 17.00/12.14 tff(28279,plain,
% 17.00/12.14 ((~(v154(constB154) <=> (~((~v132(constB154)) | (~v155(constB154)))))) | (~v154(constB154)) | (~((~v132(constB154)) | (~v155(constB154))))),
% 17.00/12.14 inference(tautology,[status(thm)],[])).
% 17.00/12.14 tff(28280,plain,
% 17.00/12.14 (~v154(constB154)),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28279, 28278, 28264])).
% 17.00/12.14 tff(28281,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB154) <=> (~((~v130(constB154)) | (~v139(constB154)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB154) <=> (~((~v130(constB154)) | (~v139(constB154))))))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28282,plain,
% 17.00/12.14 ((v153(constB154) <=> (~((~v139(constB154)) | (~v130(constB154))))) <=> (v153(constB154) <=> (~((~v130(constB154)) | (~v139(constB154)))))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28283,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB154) <=> (~((~v139(constB154)) | (~v130(constB154)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB154) <=> (~((~v130(constB154)) | (~v139(constB154))))))),
% 17.00/12.14 inference(monotonicity,[status(thm)],[28282])).
% 17.00/12.14 tff(28284,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB154) <=> (~((~v139(constB154)) | (~v130(constB154)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB154) <=> (~((~v130(constB154)) | (~v139(constB154))))))),
% 17.00/12.14 inference(transitivity,[status(thm)],[28283, 28281])).
% 17.00/12.14 tff(28285,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB154) <=> (~((~v139(constB154)) | (~v130(constB154)))))),
% 17.00/12.14 inference(quant_inst,[status(thm)],[])).
% 17.00/12.14 tff(28286,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB154) <=> (~((~v130(constB154)) | (~v139(constB154)))))),
% 17.00/12.14 inference(modus_ponens,[status(thm)],[28285, 28284])).
% 17.00/12.14 tff(28287,plain,
% 17.00/12.14 (v153(constB154) <=> (~((~v130(constB154)) | (~v139(constB154))))),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28286, 447])).
% 17.00/12.14 tff(28288,plain,
% 17.00/12.14 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB154) <=> v152(constB154))),
% 17.00/12.14 inference(quant_inst,[status(thm)],[])).
% 17.00/12.14 tff(28289,plain,
% 17.00/12.14 (v130(constB154) <=> v152(constB154)),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28288, 361])).
% 17.00/12.14 tff(28290,plain,
% 17.00/12.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB153, constB154)) | (v152(constB154) <=> v150(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB153, constB154)) | (v152(constB154) <=> v150(constB153)))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28291,plain,
% 17.00/12.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB153, constB154)) | (v152(constB154) <=> v150(constB153)))),
% 17.00/12.14 inference(quant_inst,[status(thm)],[])).
% 17.00/12.14 tff(28292,plain,
% 17.00/12.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB153, constB154)) | (v152(constB154) <=> v150(constB153))),
% 17.00/12.14 inference(modus_ponens,[status(thm)],[28291, 28290])).
% 17.00/12.14 tff(28293,plain,
% 17.00/12.14 (v152(constB154) <=> v150(constB153)),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28292, 14913, 373])).
% 17.00/12.14 tff(28294,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB153) <=> (v153(constB153) | v154(constB153)))),
% 17.00/12.14 inference(quant_inst,[status(thm)],[])).
% 17.00/12.14 tff(28295,plain,
% 17.00/12.14 (v150(constB153) <=> (v153(constB153) | v154(constB153))),
% 17.00/12.14 inference(unit_resolution,[status(thm)],[28294, 387])).
% 17.00/12.14 tff(28296,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB153) <=> (~((~v130(constB153)) | (~v139(constB153)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB153) <=> (~((~v130(constB153)) | (~v139(constB153))))))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28297,plain,
% 17.00/12.14 ((v153(constB153) <=> (~((~v139(constB153)) | (~v130(constB153))))) <=> (v153(constB153) <=> (~((~v130(constB153)) | (~v139(constB153)))))),
% 17.00/12.14 inference(rewrite,[status(thm)],[])).
% 17.00/12.14 tff(28298,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB153) <=> (~((~v139(constB153)) | (~v130(constB153)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB153) <=> (~((~v130(constB153)) | (~v139(constB153))))))),
% 17.00/12.14 inference(monotonicity,[status(thm)],[28297])).
% 17.00/12.14 tff(28299,plain,
% 17.00/12.14 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB153) <=> (~((~v139(constB153)) | (~v130(constB153)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB153) <=> (~((~v130(constB153)) | (~v139(constB153))))))),
% 17.00/12.14 inference(transitivity,[status(thm)],[28298, 28296])).
% 17.00/12.14 tff(28300,plain,
% 17.00/12.14 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB153) <=> (~((~v139(constB153)) | (~v130(constB153)))))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28301,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB153) <=> (~((~v130(constB153)) | (~v139(constB153)))))),
% 17.00/12.15 inference(modus_ponens,[status(thm)],[28300, 28299])).
% 17.00/12.15 tff(28302,plain,
% 17.00/12.15 (v153(constB153) <=> (~((~v130(constB153)) | (~v139(constB153))))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28301, 447])).
% 17.00/12.15 tff(28303,plain,
% 17.00/12.15 (((~v130(constB153)) | (~v139(constB153))) | v139(constB153)),
% 17.00/12.15 inference(tautology,[status(thm)],[])).
% 17.00/12.15 tff(28304,plain,
% 17.00/12.15 ((~v130(constB153)) | (~v139(constB153))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28303, 27295])).
% 17.00/12.15 tff(28305,plain,
% 17.00/12.15 ((~(v153(constB153) <=> (~((~v130(constB153)) | (~v139(constB153)))))) | (~v153(constB153)) | (~((~v130(constB153)) | (~v139(constB153))))),
% 17.00/12.15 inference(tautology,[status(thm)],[])).
% 17.00/12.15 tff(28306,plain,
% 17.00/12.15 (~v153(constB153)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28305, 28304, 28302])).
% 17.00/12.15 tff(28307,plain,
% 17.00/12.15 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB153) <=> (~((~v132(constB153)) | (~v155(constB153)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB153) <=> (~((~v132(constB153)) | (~v155(constB153))))))),
% 17.00/12.15 inference(rewrite,[status(thm)],[])).
% 17.00/12.15 tff(28308,plain,
% 17.00/12.15 ((v154(constB153) <=> (~((~v155(constB153)) | (~v132(constB153))))) <=> (v154(constB153) <=> (~((~v132(constB153)) | (~v155(constB153)))))),
% 17.00/12.15 inference(rewrite,[status(thm)],[])).
% 17.00/12.15 tff(28309,plain,
% 17.00/12.15 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB153) <=> (~((~v155(constB153)) | (~v132(constB153)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB153) <=> (~((~v132(constB153)) | (~v155(constB153))))))),
% 17.00/12.15 inference(monotonicity,[status(thm)],[28308])).
% 17.00/12.15 tff(28310,plain,
% 17.00/12.15 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB153) <=> (~((~v155(constB153)) | (~v132(constB153)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB153) <=> (~((~v132(constB153)) | (~v155(constB153))))))),
% 17.00/12.15 inference(transitivity,[status(thm)],[28309, 28307])).
% 17.00/12.15 tff(28311,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB153) <=> (~((~v155(constB153)) | (~v132(constB153)))))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28312,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB153) <=> (~((~v132(constB153)) | (~v155(constB153)))))),
% 17.00/12.15 inference(modus_ponens,[status(thm)],[28311, 28310])).
% 17.00/12.15 tff(28313,plain,
% 17.00/12.15 (v154(constB153) <=> (~((~v132(constB153)) | (~v155(constB153))))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28312, 399])).
% 17.00/12.15 tff(28314,plain,
% 17.00/12.15 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB153) <=> v137(constB153))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28315,plain,
% 17.00/12.15 (v132(constB153) <=> v137(constB153)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28314, 558])).
% 17.00/12.15 tff(28316,plain,
% 17.00/12.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB152, constB153)) | (v137(constB153) <=> v135(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB152, constB153)) | (v137(constB153) <=> v135(constB152)))),
% 17.00/12.15 inference(rewrite,[status(thm)],[])).
% 17.00/12.15 tff(28317,plain,
% 17.00/12.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB152, constB153)) | (v137(constB153) <=> v135(constB152)))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28318,plain,
% 17.00/12.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB152, constB153)) | (v137(constB153) <=> v135(constB152))),
% 17.00/12.15 inference(modus_ponens,[status(thm)],[28317, 28316])).
% 17.00/12.15 tff(28319,plain,
% 17.00/12.15 (v137(constB153) <=> v135(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28318, 14943, 570])).
% 17.00/12.15 tff(28320,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB152) <=> (v138(constB152) | v142(constB152)))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28321,plain,
% 17.00/12.15 (v135(constB152) <=> (v138(constB152) | v142(constB152))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28320, 584])).
% 17.00/12.15 tff(28322,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB152) <=> (~((~v143(constB152)) | (~v144(constB152)))))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28323,plain,
% 17.00/12.15 (v142(constB152) <=> (~((~v143(constB152)) | (~v144(constB152))))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28322, 596])).
% 17.00/12.15 tff(28324,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB152) <=> (~((~v141(constB152)) | (~v145(constB152)))))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28325,plain,
% 17.00/12.15 (v144(constB152) <=> (~((~v141(constB152)) | (~v145(constB152))))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28324, 608])).
% 17.00/12.15 tff(28326,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28327,plain,
% 17.00/12.15 (v141(constB152) <=> (~((~v39(constB152)) | (~v9(constB152))))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28326, 130])).
% 17.00/12.15 tff(28328,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB152)) <=> v1(constB152))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28329,plain,
% 17.00/12.15 ((~v39(constB152)) <=> v1(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28328, 139])).
% 17.00/12.15 tff(28330,plain,
% 17.00/12.15 ((~((~v39(constB152)) <=> v1(constB152))) | (~v39(constB152)) | (~v1(constB152))),
% 17.00/12.15 inference(tautology,[status(thm)],[])).
% 17.00/12.15 tff(28331,plain,
% 17.00/12.15 ((~((~v39(constB152)) <=> v1(constB152))) | (~v39(constB152))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28330, 20595])).
% 17.00/12.15 tff(28332,plain,
% 17.00/12.15 (~v39(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28331, 28329])).
% 17.00/12.15 tff(28333,plain,
% 17.00/12.15 (((~v39(constB152)) | (~v9(constB152))) | v39(constB152)),
% 17.00/12.15 inference(tautology,[status(thm)],[])).
% 17.00/12.15 tff(28334,plain,
% 17.00/12.15 ((~v39(constB152)) | (~v9(constB152))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28333, 28332])).
% 17.00/12.15 tff(28335,plain,
% 17.00/12.15 ((~(v141(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))) | (~v141(constB152)) | (~((~v39(constB152)) | (~v9(constB152))))),
% 17.00/12.15 inference(tautology,[status(thm)],[])).
% 17.00/12.15 tff(28336,plain,
% 17.00/12.15 ((~(v141(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))) | (~v141(constB152))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28335, 28334])).
% 17.00/12.15 tff(28337,plain,
% 17.00/12.15 (~v141(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28336, 28327])).
% 17.00/12.15 tff(28338,plain,
% 17.00/12.15 (((~v141(constB152)) | (~v145(constB152))) | v141(constB152)),
% 17.00/12.15 inference(tautology,[status(thm)],[])).
% 17.00/12.15 tff(28339,plain,
% 17.00/12.15 ((~v141(constB152)) | (~v145(constB152))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28338, 28337])).
% 17.00/12.15 tff(28340,plain,
% 17.00/12.15 ((~(v144(constB152) <=> (~((~v141(constB152)) | (~v145(constB152)))))) | (~v144(constB152)) | (~((~v141(constB152)) | (~v145(constB152))))),
% 17.00/12.15 inference(tautology,[status(thm)],[])).
% 17.00/12.15 tff(28341,plain,
% 17.00/12.15 ((~(v144(constB152) <=> (~((~v141(constB152)) | (~v145(constB152)))))) | (~v144(constB152))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28340, 28339])).
% 17.00/12.15 tff(28342,plain,
% 17.00/12.15 (~v144(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28341, 28325])).
% 17.00/12.15 tff(28343,plain,
% 17.00/12.15 (((~v143(constB152)) | (~v144(constB152))) | v144(constB152)),
% 17.00/12.15 inference(tautology,[status(thm)],[])).
% 17.00/12.15 tff(28344,plain,
% 17.00/12.15 ((~v143(constB152)) | (~v144(constB152))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28343, 28342])).
% 17.00/12.15 tff(28345,plain,
% 17.00/12.15 ((~(v142(constB152) <=> (~((~v143(constB152)) | (~v144(constB152)))))) | (~v142(constB152)) | (~((~v143(constB152)) | (~v144(constB152))))),
% 17.00/12.15 inference(tautology,[status(thm)],[])).
% 17.00/12.15 tff(28346,plain,
% 17.00/12.15 (~v142(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28345, 28344, 28323])).
% 17.00/12.15 tff(28347,plain,
% 17.00/12.15 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152))))))),
% 17.00/12.15 inference(rewrite,[status(thm)],[])).
% 17.00/12.15 tff(28348,plain,
% 17.00/12.15 ((v138(constB152) <=> (~((~v139(constB152)) | (~v132(constB152))))) <=> (v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152)))))),
% 17.00/12.15 inference(rewrite,[status(thm)],[])).
% 17.00/12.15 tff(28349,plain,
% 17.00/12.15 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v139(constB152)) | (~v132(constB152)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152))))))),
% 17.00/12.15 inference(monotonicity,[status(thm)],[28348])).
% 17.00/12.15 tff(28350,plain,
% 17.00/12.15 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v139(constB152)) | (~v132(constB152)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152))))))),
% 17.00/12.15 inference(transitivity,[status(thm)],[28349, 28347])).
% 17.00/12.15 tff(28351,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v139(constB152)) | (~v132(constB152)))))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28352,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152)))))),
% 17.00/12.15 inference(modus_ponens,[status(thm)],[28351, 28350])).
% 17.00/12.15 tff(28353,plain,
% 17.00/12.15 (v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152))))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28352, 644])).
% 17.00/12.15 tff(28354,plain,
% 17.00/12.15 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB152) <=> v137(constB152))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28355,plain,
% 17.00/12.15 (v132(constB152) <=> v137(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28354, 558])).
% 17.00/12.15 tff(28356,plain,
% 17.00/12.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB151, constB152)) | (v137(constB152) <=> v135(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB151, constB152)) | (v137(constB152) <=> v135(constB151)))),
% 17.00/12.15 inference(rewrite,[status(thm)],[])).
% 17.00/12.15 tff(28357,plain,
% 17.00/12.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB151, constB152)) | (v137(constB152) <=> v135(constB151)))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28358,plain,
% 17.00/12.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB151, constB152)) | (v137(constB152) <=> v135(constB151))),
% 17.00/12.15 inference(modus_ponens,[status(thm)],[28357, 28356])).
% 17.00/12.15 tff(28359,plain,
% 17.00/12.15 (v137(constB152) <=> v135(constB151)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28358, 14979, 570])).
% 17.00/12.15 tff(28360,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB151) <=> (v138(constB151) | v142(constB151)))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28361,plain,
% 17.00/12.15 (v135(constB151) <=> (v138(constB151) | v142(constB151))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28360, 584])).
% 17.00/12.15 tff(28362,plain,
% 17.00/12.15 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151))))))),
% 17.00/12.15 inference(rewrite,[status(thm)],[])).
% 17.00/12.15 tff(28363,plain,
% 17.00/12.15 ((v138(constB151) <=> (~((~v139(constB151)) | (~v132(constB151))))) <=> (v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151)))))),
% 17.00/12.15 inference(rewrite,[status(thm)],[])).
% 17.00/12.15 tff(28364,plain,
% 17.00/12.15 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v139(constB151)) | (~v132(constB151)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151))))))),
% 17.00/12.15 inference(monotonicity,[status(thm)],[28363])).
% 17.00/12.15 tff(28365,plain,
% 17.00/12.15 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v139(constB151)) | (~v132(constB151)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151))))))),
% 17.00/12.15 inference(transitivity,[status(thm)],[28364, 28362])).
% 17.00/12.15 tff(28366,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v139(constB151)) | (~v132(constB151)))))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28367,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151)))))),
% 17.00/12.15 inference(modus_ponens,[status(thm)],[28366, 28365])).
% 17.00/12.15 tff(28368,plain,
% 17.00/12.15 (v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151))))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28367, 644])).
% 17.00/12.15 tff(28369,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB151)) <=> v140(constB151))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28370,plain,
% 17.00/12.15 ((~v139(constB151)) <=> v140(constB151)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28369, 203])).
% 17.00/12.15 tff(28371,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB151) <=> (v141(constB151) | v26(constB151)))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28372,plain,
% 17.00/12.15 (v140(constB151) <=> (v141(constB151) | v26(constB151))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28371, 212])).
% 17.00/12.15 tff(28373,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB151) <=> (~((~v39(constB151)) | (~v9(constB151)))))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28374,plain,
% 17.00/12.15 (v141(constB151) <=> (~((~v39(constB151)) | (~v9(constB151))))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28373, 130])).
% 17.00/12.15 tff(28375,plain,
% 17.00/12.15 (((~![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)))),
% 17.00/12.15 inference(rewrite,[status(thm)],[])).
% 17.00/12.15 tff(28376,plain,
% 17.00/12.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151)))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28377,plain,
% 17.00/12.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151))),
% 17.00/12.15 inference(modus_ponens,[status(thm)],[28376, 28375])).
% 17.00/12.15 tff(28378,plain,
% 17.00/12.15 (v13(constB152) <=> v9(constB151)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28377, 14979, 226])).
% 17.00/12.15 tff(28379,plain,
% 17.00/12.15 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB152) <=> v13(constB152))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28380,plain,
% 17.00/12.15 (v6(constB152) <=> v13(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28379, 240])).
% 17.00/12.15 tff(28381,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB152)) <=> v6(constB152))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28382,plain,
% 17.00/12.15 ((~v21(constB152)) <=> v6(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28381, 249])).
% 17.00/12.15 tff(28383,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB152) <=> (v20(constB152) | v21(constB152)))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28384,plain,
% 17.00/12.15 (v19(constB152) <=> (v20(constB152) | v21(constB152))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28383, 258])).
% 17.00/12.15 tff(28385,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152)))))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28386,plain,
% 17.00/12.15 (v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152))))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28385, 270])).
% 17.00/12.15 tff(28387,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB152)) <=> v18(constB152))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28388,plain,
% 17.00/12.15 ((~v4(constB152)) <=> v18(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28387, 279])).
% 17.00/12.15 tff(28389,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB152)),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28390,plain,
% 17.00/12.15 (v4(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28389, 288])).
% 17.00/12.15 tff(28391,plain,
% 17.00/12.15 ((~((~v4(constB152)) <=> v18(constB152))) | (~v4(constB152)) | (~v18(constB152))),
% 17.00/12.15 inference(tautology,[status(thm)],[])).
% 17.00/12.15 tff(28392,plain,
% 17.00/12.15 (~v18(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28391, 28390, 28388])).
% 17.00/12.15 tff(28393,plain,
% 17.00/12.15 ((~(v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152)))))) | v18(constB152) | ((~v19(constB152)) | (~v22(constB152)))),
% 17.00/12.15 inference(tautology,[status(thm)],[])).
% 17.00/12.15 tff(28394,plain,
% 17.00/12.15 ((~v19(constB152)) | (~v22(constB152))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28393, 28392, 28386])).
% 17.00/12.15 tff(28395,plain,
% 17.00/12.15 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB152) <=> (v1(constB152) | v6(constB152)))),
% 17.00/12.15 inference(quant_inst,[status(thm)],[])).
% 17.00/12.15 tff(28396,plain,
% 17.00/12.15 (v22(constB152) <=> (v1(constB152) | v6(constB152))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28395, 301])).
% 17.00/12.15 tff(28397,plain,
% 17.00/12.15 ((v1(constB152) | v6(constB152)) | (~v1(constB152))),
% 17.00/12.15 inference(tautology,[status(thm)],[])).
% 17.00/12.15 tff(28398,plain,
% 17.00/12.15 (v1(constB152) | v6(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28397, 20595])).
% 17.00/12.15 tff(28399,plain,
% 17.00/12.15 ((~(v22(constB152) <=> (v1(constB152) | v6(constB152)))) | v22(constB152) | (~(v1(constB152) | v6(constB152)))),
% 17.00/12.15 inference(tautology,[status(thm)],[])).
% 17.00/12.15 tff(28400,plain,
% 17.00/12.15 ((~(v22(constB152) <=> (v1(constB152) | v6(constB152)))) | v22(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28399, 28398])).
% 17.00/12.15 tff(28401,plain,
% 17.00/12.15 (v22(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28400, 28396])).
% 17.00/12.15 tff(28402,plain,
% 17.00/12.15 ((~((~v19(constB152)) | (~v22(constB152)))) | (~v19(constB152)) | (~v22(constB152))),
% 17.00/12.15 inference(tautology,[status(thm)],[])).
% 17.00/12.15 tff(28403,plain,
% 17.00/12.15 ((~((~v19(constB152)) | (~v22(constB152)))) | (~v19(constB152))),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28402, 28401])).
% 17.00/12.15 tff(28404,plain,
% 17.00/12.15 (~v19(constB152)),
% 17.00/12.15 inference(unit_resolution,[status(thm)],[28403, 28394])).
% 17.00/12.16 tff(28405,plain,
% 17.00/12.16 ((~(v19(constB152) <=> (v20(constB152) | v21(constB152)))) | v19(constB152) | (~(v20(constB152) | v21(constB152)))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28406,plain,
% 17.00/12.16 (~(v20(constB152) | v21(constB152))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28405, 28404, 28384])).
% 17.00/12.16 tff(28407,plain,
% 17.00/12.16 ((v20(constB152) | v21(constB152)) | (~v21(constB152))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28408,plain,
% 17.00/12.16 (~v21(constB152)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28407, 28406])).
% 17.00/12.16 tff(28409,plain,
% 17.00/12.16 ((~((~v21(constB152)) <=> v6(constB152))) | v21(constB152) | v6(constB152)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28410,plain,
% 17.00/12.16 (v6(constB152)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28409, 28408, 28382])).
% 17.00/12.16 tff(28411,plain,
% 17.00/12.16 ((~(v6(constB152) <=> v13(constB152))) | (~v6(constB152)) | v13(constB152)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28412,plain,
% 17.00/12.16 (v13(constB152)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28411, 28410, 28380])).
% 17.00/12.16 tff(28413,plain,
% 17.00/12.16 ((~(v13(constB152) <=> v9(constB151))) | (~v13(constB152)) | v9(constB151)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28414,plain,
% 17.00/12.16 (v9(constB151)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28413, 28412, 28378])).
% 17.00/12.16 tff(28415,plain,
% 17.00/12.16 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB151)) <=> v1(constB151))),
% 17.00/12.16 inference(quant_inst,[status(thm)],[])).
% 17.00/12.16 tff(28416,plain,
% 17.00/12.16 ((~v39(constB151)) <=> v1(constB151)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28415, 139])).
% 17.00/12.16 tff(28417,plain,
% 17.00/12.16 ((~((~v39(constB151)) <=> v1(constB151))) | v39(constB151) | v1(constB151)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28418,plain,
% 17.00/12.16 ((~((~v39(constB151)) <=> v1(constB151))) | v39(constB151)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28417, 15018])).
% 17.00/12.16 tff(28419,plain,
% 17.00/12.16 (v39(constB151)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28418, 28416])).
% 17.00/12.16 tff(28420,plain,
% 17.00/12.16 ((~((~v39(constB151)) | (~v9(constB151)))) | (~v39(constB151)) | (~v9(constB151))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28421,plain,
% 17.00/12.16 ((~((~v39(constB151)) | (~v9(constB151)))) | (~v9(constB151))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28420, 28419])).
% 17.00/12.16 tff(28422,plain,
% 17.00/12.16 (~((~v39(constB151)) | (~v9(constB151)))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28421, 28414])).
% 17.00/12.16 tff(28423,plain,
% 17.00/12.16 ((~(v141(constB151) <=> (~((~v39(constB151)) | (~v9(constB151)))))) | v141(constB151) | ((~v39(constB151)) | (~v9(constB151)))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28424,plain,
% 17.00/12.16 (v141(constB151)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28423, 28422, 28374])).
% 17.00/12.16 tff(28425,plain,
% 17.00/12.16 ((v141(constB151) | v26(constB151)) | (~v141(constB151))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28426,plain,
% 17.00/12.16 (v141(constB151) | v26(constB151)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28425, 28424])).
% 17.00/12.16 tff(28427,plain,
% 17.00/12.16 ((~(v140(constB151) <=> (v141(constB151) | v26(constB151)))) | v140(constB151) | (~(v141(constB151) | v26(constB151)))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28428,plain,
% 17.00/12.16 (v140(constB151)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28427, 28426, 28372])).
% 17.00/12.16 tff(28429,plain,
% 17.00/12.16 ((~((~v139(constB151)) <=> v140(constB151))) | (~v139(constB151)) | (~v140(constB151))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28430,plain,
% 17.00/12.16 (~v139(constB151)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28429, 28428, 28370])).
% 17.00/12.16 tff(28431,plain,
% 17.00/12.16 (((~v132(constB151)) | (~v139(constB151))) | v139(constB151)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28432,plain,
% 17.00/12.16 ((~v132(constB151)) | (~v139(constB151))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28431, 28430])).
% 17.00/12.16 tff(28433,plain,
% 17.00/12.16 ((~(v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151)))))) | (~v138(constB151)) | (~((~v132(constB151)) | (~v139(constB151))))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28434,plain,
% 17.00/12.16 (~v138(constB151)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28433, 28432, 28368])).
% 17.00/12.16 tff(28435,plain,
% 17.00/12.16 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB151) <=> (~((~v143(constB151)) | (~v144(constB151)))))),
% 17.00/12.16 inference(quant_inst,[status(thm)],[])).
% 17.00/12.16 tff(28436,plain,
% 17.00/12.16 (v142(constB151) <=> (~((~v143(constB151)) | (~v144(constB151))))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28435, 596])).
% 17.00/12.16 tff(28437,plain,
% 17.00/12.16 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB151) <=> (~((~v141(constB151)) | (~v145(constB151)))))),
% 17.00/12.16 inference(quant_inst,[status(thm)],[])).
% 17.00/12.16 tff(28438,plain,
% 17.00/12.16 (v144(constB151) <=> (~((~v141(constB151)) | (~v145(constB151))))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28437, 608])).
% 17.00/12.16 tff(28439,plain,
% 17.00/12.16 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB151) <=> (~(v84(constB151, 1) | v84(constB151, 2) | (~v84(constB151, 0)))))),
% 17.00/12.16 inference(quant_inst,[status(thm)],[])).
% 17.00/12.16 tff(28440,plain,
% 17.00/12.16 (v145(constB151) <=> (~(v84(constB151, 1) | v84(constB151, 2) | (~v84(constB151, 0))))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28439, 755])).
% 17.00/12.16 tff(28441,plain,
% 17.00/12.16 ((v84(constB151, 1) | v84(constB151, 2) | (~v84(constB151, 0))) | (~v84(constB151, 1))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28442,plain,
% 17.00/12.16 (v84(constB151, 1) | v84(constB151, 2) | (~v84(constB151, 0))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28441, 20553])).
% 17.00/12.16 tff(28443,plain,
% 17.00/12.16 ((~(v145(constB151) <=> (~(v84(constB151, 1) | v84(constB151, 2) | (~v84(constB151, 0)))))) | (~v145(constB151)) | (~(v84(constB151, 1) | v84(constB151, 2) | (~v84(constB151, 0))))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28444,plain,
% 17.00/12.16 (~v145(constB151)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28443, 28442, 28440])).
% 17.00/12.16 tff(28445,plain,
% 17.00/12.16 (((~v141(constB151)) | (~v145(constB151))) | v145(constB151)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28446,plain,
% 17.00/12.16 ((~v141(constB151)) | (~v145(constB151))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28445, 28444])).
% 17.00/12.16 tff(28447,plain,
% 17.00/12.16 ((~(v144(constB151) <=> (~((~v141(constB151)) | (~v145(constB151)))))) | (~v144(constB151)) | (~((~v141(constB151)) | (~v145(constB151))))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28448,plain,
% 17.00/12.16 (~v144(constB151)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28447, 28446, 28438])).
% 17.00/12.16 tff(28449,plain,
% 17.00/12.16 (((~v143(constB151)) | (~v144(constB151))) | v144(constB151)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28450,plain,
% 17.00/12.16 ((~v143(constB151)) | (~v144(constB151))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28449, 28448])).
% 17.00/12.16 tff(28451,plain,
% 17.00/12.16 ((~(v142(constB151) <=> (~((~v143(constB151)) | (~v144(constB151)))))) | (~v142(constB151)) | (~((~v143(constB151)) | (~v144(constB151))))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28452,plain,
% 17.00/12.16 (~v142(constB151)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28451, 28450, 28436])).
% 17.00/12.16 tff(28453,plain,
% 17.00/12.16 ((~(v138(constB151) | v142(constB151))) | v138(constB151) | v142(constB151)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28454,plain,
% 17.00/12.16 (~(v138(constB151) | v142(constB151))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28453, 28452, 28434])).
% 17.00/12.16 tff(28455,plain,
% 17.00/12.16 ((~(v135(constB151) <=> (v138(constB151) | v142(constB151)))) | (~v135(constB151)) | (v138(constB151) | v142(constB151))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28456,plain,
% 17.00/12.16 (~v135(constB151)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28455, 28454, 28361])).
% 17.00/12.16 tff(28457,plain,
% 17.00/12.16 ((~(v137(constB152) <=> v135(constB151))) | (~v137(constB152)) | v135(constB151)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28458,plain,
% 17.00/12.16 (~v137(constB152)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28457, 28456, 28359])).
% 17.00/12.16 tff(28459,plain,
% 17.00/12.16 ((~(v132(constB152) <=> v137(constB152))) | (~v132(constB152)) | v137(constB152)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28460,plain,
% 17.00/12.16 (~v132(constB152)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28459, 28458, 28355])).
% 17.00/12.16 tff(28461,plain,
% 17.00/12.16 (((~v132(constB152)) | (~v139(constB152))) | v132(constB152)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28462,plain,
% 17.00/12.16 ((~v132(constB152)) | (~v139(constB152))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28461, 28460])).
% 17.00/12.16 tff(28463,plain,
% 17.00/12.16 ((~(v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152)))))) | (~v138(constB152)) | (~((~v132(constB152)) | (~v139(constB152))))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28464,plain,
% 17.00/12.16 (~v138(constB152)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28463, 28462, 28353])).
% 17.00/12.16 tff(28465,plain,
% 17.00/12.16 ((~(v138(constB152) | v142(constB152))) | v138(constB152) | v142(constB152)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28466,plain,
% 17.00/12.16 (~(v138(constB152) | v142(constB152))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28465, 28464, 28346])).
% 17.00/12.16 tff(28467,plain,
% 17.00/12.16 ((~(v135(constB152) <=> (v138(constB152) | v142(constB152)))) | (~v135(constB152)) | (v138(constB152) | v142(constB152))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28468,plain,
% 17.00/12.16 (~v135(constB152)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28467, 28466, 28321])).
% 17.00/12.16 tff(28469,plain,
% 17.00/12.16 ((~(v137(constB153) <=> v135(constB152))) | (~v137(constB153)) | v135(constB152)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28470,plain,
% 17.00/12.16 (~v137(constB153)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28469, 28468, 28319])).
% 17.00/12.16 tff(28471,plain,
% 17.00/12.16 ((~(v132(constB153) <=> v137(constB153))) | (~v132(constB153)) | v137(constB153)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28472,plain,
% 17.00/12.16 (~v132(constB153)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28471, 28470, 28315])).
% 17.00/12.16 tff(28473,plain,
% 17.00/12.16 (((~v132(constB153)) | (~v155(constB153))) | v132(constB153)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28474,plain,
% 17.00/12.16 ((~v132(constB153)) | (~v155(constB153))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28473, 28472])).
% 17.00/12.16 tff(28475,plain,
% 17.00/12.16 ((~(v154(constB153) <=> (~((~v132(constB153)) | (~v155(constB153)))))) | (~v154(constB153)) | (~((~v132(constB153)) | (~v155(constB153))))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28476,plain,
% 17.00/12.16 (~v154(constB153)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28475, 28474, 28313])).
% 17.00/12.16 tff(28477,plain,
% 17.00/12.16 ((~(v153(constB153) | v154(constB153))) | v153(constB153) | v154(constB153)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28478,plain,
% 17.00/12.16 (~(v153(constB153) | v154(constB153))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28477, 28476, 28306])).
% 17.00/12.16 tff(28479,plain,
% 17.00/12.16 ((~(v150(constB153) <=> (v153(constB153) | v154(constB153)))) | (~v150(constB153)) | (v153(constB153) | v154(constB153))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28480,plain,
% 17.00/12.16 (~v150(constB153)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28479, 28478, 28295])).
% 17.00/12.16 tff(28481,plain,
% 17.00/12.16 ((~(v152(constB154) <=> v150(constB153))) | (~v152(constB154)) | v150(constB153)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28482,plain,
% 17.00/12.16 (~v152(constB154)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28481, 28480, 28293])).
% 17.00/12.16 tff(28483,plain,
% 17.00/12.16 ((~(v130(constB154) <=> v152(constB154))) | (~v130(constB154)) | v152(constB154)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28484,plain,
% 17.00/12.16 (~v130(constB154)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28483, 28482, 28289])).
% 17.00/12.16 tff(28485,plain,
% 17.00/12.16 (((~v130(constB154)) | (~v139(constB154))) | v130(constB154)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28486,plain,
% 17.00/12.16 ((~v130(constB154)) | (~v139(constB154))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28485, 28484])).
% 17.00/12.16 tff(28487,plain,
% 17.00/12.16 ((~(v153(constB154) <=> (~((~v130(constB154)) | (~v139(constB154)))))) | (~v153(constB154)) | (~((~v130(constB154)) | (~v139(constB154))))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28488,plain,
% 17.00/12.16 (~v153(constB154)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28487, 28486, 28287])).
% 17.00/12.16 tff(28489,plain,
% 17.00/12.16 ((~(v153(constB154) | v154(constB154))) | v153(constB154) | v154(constB154)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28490,plain,
% 17.00/12.16 (~(v153(constB154) | v154(constB154))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28489, 28488, 28280])).
% 17.00/12.16 tff(28491,plain,
% 17.00/12.16 ((~(v150(constB154) <=> (v153(constB154) | v154(constB154)))) | (~v150(constB154)) | (v153(constB154) | v154(constB154))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28492,plain,
% 17.00/12.16 (~v150(constB154)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28491, 28490, 28257])).
% 17.00/12.16 tff(28493,plain,
% 17.00/12.16 ((~(v152(constB155) <=> v150(constB154))) | (~v152(constB155)) | v150(constB154)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28494,plain,
% 17.00/12.16 (~v152(constB155)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28493, 28492, 28255])).
% 17.00/12.16 tff(28495,plain,
% 17.00/12.16 ((~(v130(constB155) <=> v152(constB155))) | (~v130(constB155)) | v152(constB155)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28496,plain,
% 17.00/12.16 (~v130(constB155)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28495, 28494, 28251])).
% 17.00/12.16 tff(28497,plain,
% 17.00/12.16 (((~v130(constB155)) | (~v155(constB155))) | v130(constB155)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28498,plain,
% 17.00/12.16 ((~v130(constB155)) | (~v155(constB155))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28497, 28496])).
% 17.00/12.16 tff(28499,plain,
% 17.00/12.16 ((~(v164(constB155) <=> (~((~v130(constB155)) | (~v155(constB155)))))) | (~v164(constB155)) | (~((~v130(constB155)) | (~v155(constB155))))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28500,plain,
% 17.00/12.16 (~v164(constB155)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28499, 28498, 28249])).
% 17.00/12.16 tff(28501,plain,
% 17.00/12.16 ((~(v163(constB155) | v164(constB155))) | v163(constB155) | v164(constB155)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28502,plain,
% 17.00/12.16 (~(v163(constB155) | v164(constB155))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28501, 28500, 28242])).
% 17.00/12.16 tff(28503,plain,
% 17.00/12.16 ((~(v160(constB155) <=> (v163(constB155) | v164(constB155)))) | (~v160(constB155)) | (v163(constB155) | v164(constB155))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28504,plain,
% 17.00/12.16 (~v160(constB155)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28503, 28502, 28231])).
% 17.00/12.16 tff(28505,plain,
% 17.00/12.16 ((~(v162(constB156) <=> v160(constB155))) | (~v162(constB156)) | v160(constB155)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28506,plain,
% 17.00/12.16 (~v162(constB156)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28505, 28504, 28229])).
% 17.00/12.16 tff(28507,plain,
% 17.00/12.16 ((~(v128(constB156) <=> v162(constB156))) | (~v128(constB156)) | v162(constB156)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28508,plain,
% 17.00/12.16 (~v128(constB156)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28507, 28506, 28225])).
% 17.00/12.16 tff(28509,plain,
% 17.00/12.16 (((~v128(constB156)) | (~v139(constB156))) | v128(constB156)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28510,plain,
% 17.00/12.16 ((~v128(constB156)) | (~v139(constB156))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28509, 28508])).
% 17.00/12.16 tff(28511,plain,
% 17.00/12.16 ((~(v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156)))))) | (~v163(constB156)) | (~((~v128(constB156)) | (~v139(constB156))))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28512,plain,
% 17.00/12.16 (~v163(constB156)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28511, 28510, 28223])).
% 17.00/12.16 tff(28513,plain,
% 17.00/12.16 ((~(v163(constB156) | v164(constB156))) | v163(constB156) | v164(constB156)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28514,plain,
% 17.00/12.16 (~(v163(constB156) | v164(constB156))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28513, 28512, 28216])).
% 17.00/12.16 tff(28515,plain,
% 17.00/12.16 ((~(v160(constB156) <=> (v163(constB156) | v164(constB156)))) | (~v160(constB156)) | (v163(constB156) | v164(constB156))),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28516,plain,
% 17.00/12.16 (~v160(constB156)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28515, 28514, 28205])).
% 17.00/12.16 tff(28517,plain,
% 17.00/12.16 ((~(v162(constB157) <=> v160(constB156))) | (~v162(constB157)) | v160(constB156)),
% 17.00/12.16 inference(tautology,[status(thm)],[])).
% 17.00/12.16 tff(28518,plain,
% 17.00/12.16 (~v162(constB157)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28517, 28516, 28203])).
% 17.00/12.16 tff(28519,plain,
% 17.00/12.16 ($false),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28518, 28199])).
% 17.00/12.16 tff(28520,plain,(~(constB157 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.00/12.16 tff(28521,assumption,(constB77 = VarCurr!0), introduced(assumption)).
% 17.00/12.16 tff(28522,plain,
% 17.00/12.16 (v162(constB77) <=> v162(VarCurr!0)),
% 17.00/12.16 inference(monotonicity,[status(thm)],[28521])).
% 17.00/12.16 tff(28523,plain,
% 17.00/12.16 (v162(VarCurr!0) <=> v162(constB77)),
% 17.00/12.16 inference(symmetry,[status(thm)],[28522])).
% 17.00/12.16 tff(28524,plain,
% 17.00/12.16 (v162(constB77)),
% 17.00/12.16 inference(modus_ponens,[status(thm)],[59, 28523])).
% 17.00/12.16 tff(28525,plain,
% 17.00/12.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB76, constB77)) | (v162(constB77) <=> v160(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB76, constB77)) | (v162(constB77) <=> v160(constB76)))),
% 17.00/12.16 inference(rewrite,[status(thm)],[])).
% 17.00/12.16 tff(28526,plain,
% 17.00/12.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB76, constB77)) | (v162(constB77) <=> v160(constB76)))),
% 17.00/12.16 inference(quant_inst,[status(thm)],[])).
% 17.00/12.16 tff(28527,plain,
% 17.00/12.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB76, constB77)) | (v162(constB77) <=> v160(constB76))),
% 17.00/12.16 inference(modus_ponens,[status(thm)],[28526, 28525])).
% 17.00/12.16 tff(28528,plain,
% 17.00/12.16 (v162(constB77) <=> v160(constB76)),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28527, 7078, 70])).
% 17.00/12.16 tff(28529,plain,
% 17.00/12.16 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB76) <=> (v163(constB76) | v164(constB76)))),
% 17.00/12.16 inference(quant_inst,[status(thm)],[])).
% 17.00/12.16 tff(28530,plain,
% 17.00/12.16 (v160(constB76) <=> (v163(constB76) | v164(constB76))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28529, 84])).
% 17.00/12.16 tff(28531,plain,
% 17.00/12.16 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB76) <=> (~((~v130(constB76)) | (~v155(constB76)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB76) <=> (~((~v130(constB76)) | (~v155(constB76))))))),
% 17.00/12.16 inference(rewrite,[status(thm)],[])).
% 17.00/12.16 tff(28532,plain,
% 17.00/12.16 ((v164(constB76) <=> (~((~v155(constB76)) | (~v130(constB76))))) <=> (v164(constB76) <=> (~((~v130(constB76)) | (~v155(constB76)))))),
% 17.00/12.16 inference(rewrite,[status(thm)],[])).
% 17.00/12.16 tff(28533,plain,
% 17.00/12.16 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB76) <=> (~((~v155(constB76)) | (~v130(constB76)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB76) <=> (~((~v130(constB76)) | (~v155(constB76))))))),
% 17.00/12.16 inference(monotonicity,[status(thm)],[28532])).
% 17.00/12.16 tff(28534,plain,
% 17.00/12.16 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB76) <=> (~((~v155(constB76)) | (~v130(constB76)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB76) <=> (~((~v130(constB76)) | (~v155(constB76))))))),
% 17.00/12.16 inference(transitivity,[status(thm)],[28533, 28531])).
% 17.00/12.16 tff(28535,plain,
% 17.00/12.16 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB76) <=> (~((~v155(constB76)) | (~v130(constB76)))))),
% 17.00/12.16 inference(quant_inst,[status(thm)],[])).
% 17.00/12.16 tff(28536,plain,
% 17.00/12.16 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB76) <=> (~((~v130(constB76)) | (~v155(constB76)))))),
% 17.00/12.16 inference(modus_ponens,[status(thm)],[28535, 28534])).
% 17.00/12.16 tff(28537,plain,
% 17.00/12.16 (v164(constB76) <=> (~((~v130(constB76)) | (~v155(constB76))))),
% 17.00/12.16 inference(unit_resolution,[status(thm)],[28536, 96])).
% 17.00/12.16 tff(28538,plain,
% 17.00/12.16 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB76) <=> (~((~v141(constB76)) | (~v143(constB76)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB76) <=> (~((~v141(constB76)) | (~v143(constB76))))))),
% 17.00/12.17 inference(rewrite,[status(thm)],[])).
% 17.00/12.17 tff(28539,plain,
% 17.00/12.17 ((v155(constB76) <=> (~((~v143(constB76)) | (~v141(constB76))))) <=> (v155(constB76) <=> (~((~v141(constB76)) | (~v143(constB76)))))),
% 17.00/12.17 inference(rewrite,[status(thm)],[])).
% 17.00/12.17 tff(28540,plain,
% 17.00/12.17 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB76) <=> (~((~v143(constB76)) | (~v141(constB76)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB76) <=> (~((~v141(constB76)) | (~v143(constB76))))))),
% 17.00/12.17 inference(monotonicity,[status(thm)],[28539])).
% 17.00/12.17 tff(28541,plain,
% 17.00/12.17 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB76) <=> (~((~v143(constB76)) | (~v141(constB76)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB76) <=> (~((~v141(constB76)) | (~v143(constB76))))))),
% 17.00/12.17 inference(transitivity,[status(thm)],[28540, 28538])).
% 17.00/12.17 tff(28542,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB76) <=> (~((~v143(constB76)) | (~v141(constB76)))))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28543,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB76) <=> (~((~v141(constB76)) | (~v143(constB76)))))),
% 17.00/12.17 inference(modus_ponens,[status(thm)],[28542, 28541])).
% 17.00/12.17 tff(28544,plain,
% 17.00/12.17 (v155(constB76) <=> (~((~v141(constB76)) | (~v143(constB76))))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28543, 113])).
% 17.00/12.17 tff(28545,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB76) <=> (~((~v39(constB76)) | (~v9(constB76)))))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28546,plain,
% 17.00/12.17 (v141(constB76) <=> (~((~v39(constB76)) | (~v9(constB76))))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28545, 130])).
% 17.00/12.17 tff(28547,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB76)) <=> v1(constB76))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28548,plain,
% 17.00/12.17 ((~v39(constB76)) <=> v1(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28547, 139])).
% 17.00/12.17 tff(28549,plain,
% 17.00/12.17 ((~((~v39(constB76)) <=> v1(constB76))) | (~v39(constB76)) | (~v1(constB76))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28550,plain,
% 17.00/12.17 ((~((~v39(constB76)) <=> v1(constB76))) | (~v39(constB76))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28549, 10768])).
% 17.00/12.17 tff(28551,plain,
% 17.00/12.17 (~v39(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28550, 28548])).
% 17.00/12.17 tff(28552,plain,
% 17.00/12.17 (((~v39(constB76)) | (~v9(constB76))) | v39(constB76)),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28553,plain,
% 17.00/12.17 ((~v39(constB76)) | (~v9(constB76))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28552, 28551])).
% 17.00/12.17 tff(28554,plain,
% 17.00/12.17 ((~(v141(constB76) <=> (~((~v39(constB76)) | (~v9(constB76)))))) | (~v141(constB76)) | (~((~v39(constB76)) | (~v9(constB76))))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28555,plain,
% 17.00/12.17 ((~(v141(constB76) <=> (~((~v39(constB76)) | (~v9(constB76)))))) | (~v141(constB76))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28554, 28553])).
% 17.00/12.17 tff(28556,plain,
% 17.00/12.17 (~v141(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28555, 28546])).
% 17.00/12.17 tff(28557,plain,
% 17.00/12.17 (((~v141(constB76)) | (~v143(constB76))) | v141(constB76)),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28558,plain,
% 17.00/12.17 ((~v141(constB76)) | (~v143(constB76))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28557, 28556])).
% 17.00/12.17 tff(28559,plain,
% 17.00/12.17 ((~(v155(constB76) <=> (~((~v141(constB76)) | (~v143(constB76)))))) | (~v155(constB76)) | (~((~v141(constB76)) | (~v143(constB76))))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28560,plain,
% 17.00/12.17 ((~(v155(constB76) <=> (~((~v141(constB76)) | (~v143(constB76)))))) | (~v155(constB76))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28559, 28558])).
% 17.00/12.17 tff(28561,plain,
% 17.00/12.17 (~v155(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28560, 28544])).
% 17.00/12.17 tff(28562,plain,
% 17.00/12.17 (((~v130(constB76)) | (~v155(constB76))) | v155(constB76)),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28563,plain,
% 17.00/12.17 ((~v130(constB76)) | (~v155(constB76))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28562, 28561])).
% 17.00/12.17 tff(28564,plain,
% 17.00/12.17 ((~(v164(constB76) <=> (~((~v130(constB76)) | (~v155(constB76)))))) | (~v164(constB76)) | (~((~v130(constB76)) | (~v155(constB76))))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28565,plain,
% 17.00/12.17 (~v164(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28564, 28563, 28537])).
% 17.00/12.17 tff(28566,plain,
% 17.00/12.17 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB76) <=> (~((~v128(constB76)) | (~v139(constB76)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB76) <=> (~((~v128(constB76)) | (~v139(constB76))))))),
% 17.00/12.17 inference(rewrite,[status(thm)],[])).
% 17.00/12.17 tff(28567,plain,
% 17.00/12.17 ((v163(constB76) <=> (~((~v139(constB76)) | (~v128(constB76))))) <=> (v163(constB76) <=> (~((~v128(constB76)) | (~v139(constB76)))))),
% 17.00/12.17 inference(rewrite,[status(thm)],[])).
% 17.00/12.17 tff(28568,plain,
% 17.00/12.17 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB76) <=> (~((~v139(constB76)) | (~v128(constB76)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB76) <=> (~((~v128(constB76)) | (~v139(constB76))))))),
% 17.00/12.17 inference(monotonicity,[status(thm)],[28567])).
% 17.00/12.17 tff(28569,plain,
% 17.00/12.17 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB76) <=> (~((~v139(constB76)) | (~v128(constB76)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB76) <=> (~((~v128(constB76)) | (~v139(constB76))))))),
% 17.00/12.17 inference(transitivity,[status(thm)],[28568, 28566])).
% 17.00/12.17 tff(28570,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB76) <=> (~((~v139(constB76)) | (~v128(constB76)))))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28571,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB76) <=> (~((~v128(constB76)) | (~v139(constB76)))))),
% 17.00/12.17 inference(modus_ponens,[status(thm)],[28570, 28569])).
% 17.00/12.17 tff(28572,plain,
% 17.00/12.17 (v163(constB76) <=> (~((~v128(constB76)) | (~v139(constB76))))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28571, 171])).
% 17.00/12.17 tff(28573,plain,
% 17.00/12.17 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB76) <=> v162(constB76))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28574,plain,
% 17.00/12.17 (v128(constB76) <=> v162(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28573, 13])).
% 17.00/12.17 tff(28575,plain,
% 17.00/12.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB75, constB76)) | (v162(constB76) <=> v160(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB75, constB76)) | (v162(constB76) <=> v160(constB75)))),
% 17.00/12.17 inference(rewrite,[status(thm)],[])).
% 17.00/12.17 tff(28576,plain,
% 17.00/12.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB75, constB76)) | (v162(constB76) <=> v160(constB75)))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28577,plain,
% 17.00/12.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB75, constB76)) | (v162(constB76) <=> v160(constB75))),
% 17.00/12.17 inference(modus_ponens,[status(thm)],[28576, 28575])).
% 17.00/12.17 tff(28578,plain,
% 17.00/12.17 (v162(constB76) <=> v160(constB75)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28577, 7114, 70])).
% 17.00/12.17 tff(28579,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB75) <=> (v163(constB75) | v164(constB75)))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28580,plain,
% 17.00/12.17 (v160(constB75) <=> (v163(constB75) | v164(constB75))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28579, 84])).
% 17.00/12.17 tff(28581,plain,
% 17.00/12.17 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB75) <=> (~((~v128(constB75)) | (~v139(constB75)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB75) <=> (~((~v128(constB75)) | (~v139(constB75))))))),
% 17.00/12.17 inference(rewrite,[status(thm)],[])).
% 17.00/12.17 tff(28582,plain,
% 17.00/12.17 ((v163(constB75) <=> (~((~v139(constB75)) | (~v128(constB75))))) <=> (v163(constB75) <=> (~((~v128(constB75)) | (~v139(constB75)))))),
% 17.00/12.17 inference(rewrite,[status(thm)],[])).
% 17.00/12.17 tff(28583,plain,
% 17.00/12.17 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB75) <=> (~((~v139(constB75)) | (~v128(constB75)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB75) <=> (~((~v128(constB75)) | (~v139(constB75))))))),
% 17.00/12.17 inference(monotonicity,[status(thm)],[28582])).
% 17.00/12.17 tff(28584,plain,
% 17.00/12.17 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB75) <=> (~((~v139(constB75)) | (~v128(constB75)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB75) <=> (~((~v128(constB75)) | (~v139(constB75))))))),
% 17.00/12.17 inference(transitivity,[status(thm)],[28583, 28581])).
% 17.00/12.17 tff(28585,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB75) <=> (~((~v139(constB75)) | (~v128(constB75)))))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28586,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB75) <=> (~((~v128(constB75)) | (~v139(constB75)))))),
% 17.00/12.17 inference(modus_ponens,[status(thm)],[28585, 28584])).
% 17.00/12.17 tff(28587,plain,
% 17.00/12.17 (v163(constB75) <=> (~((~v128(constB75)) | (~v139(constB75))))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28586, 171])).
% 17.00/12.17 tff(28588,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB75)) <=> v140(constB75))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28589,plain,
% 17.00/12.17 ((~v139(constB75)) <=> v140(constB75)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28588, 203])).
% 17.00/12.17 tff(28590,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB75) <=> (v141(constB75) | v26(constB75)))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28591,plain,
% 17.00/12.17 (v140(constB75) <=> (v141(constB75) | v26(constB75))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28590, 212])).
% 17.00/12.17 tff(28592,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB75) <=> (~((~v39(constB75)) | (~v9(constB75)))))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28593,plain,
% 17.00/12.17 (v141(constB75) <=> (~((~v39(constB75)) | (~v9(constB75))))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28592, 130])).
% 17.00/12.17 tff(28594,plain,
% 17.00/12.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB75, constB76)) | (v13(constB76) <=> v9(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB75, constB76)) | (v13(constB76) <=> v9(constB75)))),
% 17.00/12.17 inference(rewrite,[status(thm)],[])).
% 17.00/12.17 tff(28595,plain,
% 17.00/12.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB75, constB76)) | (v13(constB76) <=> v9(constB75)))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28596,plain,
% 17.00/12.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB75, constB76)) | (v13(constB76) <=> v9(constB75))),
% 17.00/12.17 inference(modus_ponens,[status(thm)],[28595, 28594])).
% 17.00/12.17 tff(28597,plain,
% 17.00/12.17 (v13(constB76) <=> v9(constB75)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28596, 7114, 226])).
% 17.00/12.17 tff(28598,plain,
% 17.00/12.17 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB76) <=> v13(constB76))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28599,plain,
% 17.00/12.17 (v6(constB76) <=> v13(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28598, 240])).
% 17.00/12.17 tff(28600,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB76)) <=> v6(constB76))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28601,plain,
% 17.00/12.17 ((~v21(constB76)) <=> v6(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28600, 249])).
% 17.00/12.17 tff(28602,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB76) <=> (v20(constB76) | v21(constB76)))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28603,plain,
% 17.00/12.17 (v19(constB76) <=> (v20(constB76) | v21(constB76))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28602, 258])).
% 17.00/12.17 tff(28604,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB76) <=> (~((~v19(constB76)) | (~v22(constB76)))))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28605,plain,
% 17.00/12.17 (v18(constB76) <=> (~((~v19(constB76)) | (~v22(constB76))))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28604, 270])).
% 17.00/12.17 tff(28606,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB76)) <=> v18(constB76))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28607,plain,
% 17.00/12.17 ((~v4(constB76)) <=> v18(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28606, 279])).
% 17.00/12.17 tff(28608,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB76)),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28609,plain,
% 17.00/12.17 (v4(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28608, 288])).
% 17.00/12.17 tff(28610,plain,
% 17.00/12.17 ((~((~v4(constB76)) <=> v18(constB76))) | (~v4(constB76)) | (~v18(constB76))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28611,plain,
% 17.00/12.17 (~v18(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28610, 28609, 28607])).
% 17.00/12.17 tff(28612,plain,
% 17.00/12.17 ((~(v18(constB76) <=> (~((~v19(constB76)) | (~v22(constB76)))))) | v18(constB76) | ((~v19(constB76)) | (~v22(constB76)))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28613,plain,
% 17.00/12.17 ((~v19(constB76)) | (~v22(constB76))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28612, 28611, 28605])).
% 17.00/12.17 tff(28614,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB76) <=> (v1(constB76) | v6(constB76)))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28615,plain,
% 17.00/12.17 (v22(constB76) <=> (v1(constB76) | v6(constB76))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28614, 301])).
% 17.00/12.17 tff(28616,plain,
% 17.00/12.17 ((v1(constB76) | v6(constB76)) | (~v1(constB76))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28617,plain,
% 17.00/12.17 (v1(constB76) | v6(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28616, 10768])).
% 17.00/12.17 tff(28618,plain,
% 17.00/12.17 ((~(v22(constB76) <=> (v1(constB76) | v6(constB76)))) | v22(constB76) | (~(v1(constB76) | v6(constB76)))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28619,plain,
% 17.00/12.17 ((~(v22(constB76) <=> (v1(constB76) | v6(constB76)))) | v22(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28618, 28617])).
% 17.00/12.17 tff(28620,plain,
% 17.00/12.17 (v22(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28619, 28615])).
% 17.00/12.17 tff(28621,plain,
% 17.00/12.17 ((~((~v19(constB76)) | (~v22(constB76)))) | (~v19(constB76)) | (~v22(constB76))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28622,plain,
% 17.00/12.17 ((~((~v19(constB76)) | (~v22(constB76)))) | (~v19(constB76))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28621, 28620])).
% 17.00/12.17 tff(28623,plain,
% 17.00/12.17 (~v19(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28622, 28613])).
% 17.00/12.17 tff(28624,plain,
% 17.00/12.17 ((~(v19(constB76) <=> (v20(constB76) | v21(constB76)))) | v19(constB76) | (~(v20(constB76) | v21(constB76)))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28625,plain,
% 17.00/12.17 (~(v20(constB76) | v21(constB76))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28624, 28623, 28603])).
% 17.00/12.17 tff(28626,plain,
% 17.00/12.17 ((v20(constB76) | v21(constB76)) | (~v21(constB76))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28627,plain,
% 17.00/12.17 (~v21(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28626, 28625])).
% 17.00/12.17 tff(28628,plain,
% 17.00/12.17 ((~((~v21(constB76)) <=> v6(constB76))) | v21(constB76) | v6(constB76)),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28629,plain,
% 17.00/12.17 (v6(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28628, 28627, 28601])).
% 17.00/12.17 tff(28630,plain,
% 17.00/12.17 ((~(v6(constB76) <=> v13(constB76))) | (~v6(constB76)) | v13(constB76)),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28631,plain,
% 17.00/12.17 (v13(constB76)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28630, 28629, 28599])).
% 17.00/12.17 tff(28632,plain,
% 17.00/12.17 ((~(v13(constB76) <=> v9(constB75))) | (~v13(constB76)) | v9(constB75)),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28633,plain,
% 17.00/12.17 (v9(constB75)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28632, 28631, 28597])).
% 17.00/12.17 tff(28634,plain,
% 17.00/12.17 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB75)) <=> v1(constB75))),
% 17.00/12.17 inference(quant_inst,[status(thm)],[])).
% 17.00/12.17 tff(28635,plain,
% 17.00/12.17 ((~v39(constB75)) <=> v1(constB75)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28634, 139])).
% 17.00/12.17 tff(28636,plain,
% 17.00/12.17 ((~((~v39(constB75)) <=> v1(constB75))) | v39(constB75) | v1(constB75)),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28637,plain,
% 17.00/12.17 ((~((~v39(constB75)) <=> v1(constB75))) | v39(constB75)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28636, 7153])).
% 17.00/12.17 tff(28638,plain,
% 17.00/12.17 (v39(constB75)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28637, 28635])).
% 17.00/12.17 tff(28639,plain,
% 17.00/12.17 ((~((~v39(constB75)) | (~v9(constB75)))) | (~v39(constB75)) | (~v9(constB75))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28640,plain,
% 17.00/12.17 ((~((~v39(constB75)) | (~v9(constB75)))) | (~v9(constB75))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28639, 28638])).
% 17.00/12.17 tff(28641,plain,
% 17.00/12.17 (~((~v39(constB75)) | (~v9(constB75)))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28640, 28633])).
% 17.00/12.17 tff(28642,plain,
% 17.00/12.17 ((~(v141(constB75) <=> (~((~v39(constB75)) | (~v9(constB75)))))) | v141(constB75) | ((~v39(constB75)) | (~v9(constB75)))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28643,plain,
% 17.00/12.17 (v141(constB75)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28642, 28641, 28593])).
% 17.00/12.17 tff(28644,plain,
% 17.00/12.17 ((v141(constB75) | v26(constB75)) | (~v141(constB75))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28645,plain,
% 17.00/12.17 (v141(constB75) | v26(constB75)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28644, 28643])).
% 17.00/12.17 tff(28646,plain,
% 17.00/12.17 ((~(v140(constB75) <=> (v141(constB75) | v26(constB75)))) | v140(constB75) | (~(v141(constB75) | v26(constB75)))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28647,plain,
% 17.00/12.17 (v140(constB75)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28646, 28645, 28591])).
% 17.00/12.17 tff(28648,plain,
% 17.00/12.17 ((~((~v139(constB75)) <=> v140(constB75))) | (~v139(constB75)) | (~v140(constB75))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28649,plain,
% 17.00/12.17 (~v139(constB75)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28648, 28647, 28589])).
% 17.00/12.17 tff(28650,plain,
% 17.00/12.17 (((~v128(constB75)) | (~v139(constB75))) | v139(constB75)),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28651,plain,
% 17.00/12.17 ((~v128(constB75)) | (~v139(constB75))),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28650, 28649])).
% 17.00/12.17 tff(28652,plain,
% 17.00/12.17 ((~(v163(constB75) <=> (~((~v128(constB75)) | (~v139(constB75)))))) | (~v163(constB75)) | (~((~v128(constB75)) | (~v139(constB75))))),
% 17.00/12.17 inference(tautology,[status(thm)],[])).
% 17.00/12.17 tff(28653,plain,
% 17.00/12.17 (~v163(constB75)),
% 17.00/12.17 inference(unit_resolution,[status(thm)],[28652, 28651, 28587])).
% 17.00/12.17 tff(28654,plain,
% 17.00/12.17 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB75) <=> (~((~v130(constB75)) | (~v155(constB75)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB75) <=> (~((~v130(constB75)) | (~v155(constB75))))))),
% 17.00/12.18 inference(rewrite,[status(thm)],[])).
% 17.00/12.18 tff(28655,plain,
% 17.00/12.18 ((v164(constB75) <=> (~((~v155(constB75)) | (~v130(constB75))))) <=> (v164(constB75) <=> (~((~v130(constB75)) | (~v155(constB75)))))),
% 17.00/12.18 inference(rewrite,[status(thm)],[])).
% 17.00/12.18 tff(28656,plain,
% 17.00/12.18 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB75) <=> (~((~v155(constB75)) | (~v130(constB75)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB75) <=> (~((~v130(constB75)) | (~v155(constB75))))))),
% 17.00/12.18 inference(monotonicity,[status(thm)],[28655])).
% 17.00/12.18 tff(28657,plain,
% 17.00/12.18 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB75) <=> (~((~v155(constB75)) | (~v130(constB75)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB75) <=> (~((~v130(constB75)) | (~v155(constB75))))))),
% 17.00/12.18 inference(transitivity,[status(thm)],[28656, 28654])).
% 17.00/12.18 tff(28658,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB75) <=> (~((~v155(constB75)) | (~v130(constB75)))))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28659,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB75) <=> (~((~v130(constB75)) | (~v155(constB75)))))),
% 17.00/12.18 inference(modus_ponens,[status(thm)],[28658, 28657])).
% 17.00/12.18 tff(28660,plain,
% 17.00/12.18 (v164(constB75) <=> (~((~v130(constB75)) | (~v155(constB75))))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28659, 96])).
% 17.00/12.18 tff(28661,plain,
% 17.00/12.18 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB75) <=> v152(constB75))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28662,plain,
% 17.00/12.18 (v130(constB75) <=> v152(constB75)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28661, 361])).
% 17.00/12.18 tff(28663,plain,
% 17.00/12.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB74, constB75)) | (v152(constB75) <=> v150(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB74, constB75)) | (v152(constB75) <=> v150(constB74)))),
% 17.00/12.18 inference(rewrite,[status(thm)],[])).
% 17.00/12.18 tff(28664,plain,
% 17.00/12.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB74, constB75)) | (v152(constB75) <=> v150(constB74)))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28665,plain,
% 17.00/12.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB74, constB75)) | (v152(constB75) <=> v150(constB74))),
% 17.00/12.18 inference(modus_ponens,[status(thm)],[28664, 28663])).
% 17.00/12.18 tff(28666,plain,
% 17.00/12.18 (v152(constB75) <=> v150(constB74)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28665, 7139, 373])).
% 17.00/12.18 tff(28667,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB74) <=> (v153(constB74) | v154(constB74)))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28668,plain,
% 17.00/12.18 (v150(constB74) <=> (v153(constB74) | v154(constB74))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28667, 387])).
% 17.00/12.18 tff(28669,plain,
% 17.00/12.18 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB74) <=> (~((~v132(constB74)) | (~v155(constB74)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB74) <=> (~((~v132(constB74)) | (~v155(constB74))))))),
% 17.00/12.18 inference(rewrite,[status(thm)],[])).
% 17.00/12.18 tff(28670,plain,
% 17.00/12.18 ((v154(constB74) <=> (~((~v155(constB74)) | (~v132(constB74))))) <=> (v154(constB74) <=> (~((~v132(constB74)) | (~v155(constB74)))))),
% 17.00/12.18 inference(rewrite,[status(thm)],[])).
% 17.00/12.18 tff(28671,plain,
% 17.00/12.18 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB74) <=> (~((~v155(constB74)) | (~v132(constB74)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB74) <=> (~((~v132(constB74)) | (~v155(constB74))))))),
% 17.00/12.18 inference(monotonicity,[status(thm)],[28670])).
% 17.00/12.18 tff(28672,plain,
% 17.00/12.18 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB74) <=> (~((~v155(constB74)) | (~v132(constB74)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB74) <=> (~((~v132(constB74)) | (~v155(constB74))))))),
% 17.00/12.18 inference(transitivity,[status(thm)],[28671, 28669])).
% 17.00/12.18 tff(28673,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB74) <=> (~((~v155(constB74)) | (~v132(constB74)))))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28674,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB74) <=> (~((~v132(constB74)) | (~v155(constB74)))))),
% 17.00/12.18 inference(modus_ponens,[status(thm)],[28673, 28672])).
% 17.00/12.18 tff(28675,plain,
% 17.00/12.18 (v154(constB74) <=> (~((~v132(constB74)) | (~v155(constB74))))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28674, 399])).
% 17.00/12.18 tff(28676,plain,
% 17.00/12.18 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB74) <=> (~((~v141(constB74)) | (~v143(constB74)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB74) <=> (~((~v141(constB74)) | (~v143(constB74))))))),
% 17.00/12.18 inference(rewrite,[status(thm)],[])).
% 17.00/12.18 tff(28677,plain,
% 17.00/12.18 ((v155(constB74) <=> (~((~v143(constB74)) | (~v141(constB74))))) <=> (v155(constB74) <=> (~((~v141(constB74)) | (~v143(constB74)))))),
% 17.00/12.18 inference(rewrite,[status(thm)],[])).
% 17.00/12.18 tff(28678,plain,
% 17.00/12.18 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB74) <=> (~((~v143(constB74)) | (~v141(constB74)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB74) <=> (~((~v141(constB74)) | (~v143(constB74))))))),
% 17.00/12.18 inference(monotonicity,[status(thm)],[28677])).
% 17.00/12.18 tff(28679,plain,
% 17.00/12.18 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB74) <=> (~((~v143(constB74)) | (~v141(constB74)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB74) <=> (~((~v141(constB74)) | (~v143(constB74))))))),
% 17.00/12.18 inference(transitivity,[status(thm)],[28678, 28676])).
% 17.00/12.18 tff(28680,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB74) <=> (~((~v143(constB74)) | (~v141(constB74)))))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28681,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB74) <=> (~((~v141(constB74)) | (~v143(constB74)))))),
% 17.00/12.18 inference(modus_ponens,[status(thm)],[28680, 28679])).
% 17.00/12.18 tff(28682,plain,
% 17.00/12.18 (v155(constB74) <=> (~((~v141(constB74)) | (~v143(constB74))))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28681, 113])).
% 17.00/12.18 tff(28683,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28684,plain,
% 17.00/12.18 (v141(constB74) <=> (~((~v39(constB74)) | (~v9(constB74))))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28683, 130])).
% 17.00/12.18 tff(28685,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB74)) <=> v1(constB74))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28686,plain,
% 17.00/12.18 ((~v39(constB74)) <=> v1(constB74)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28685, 139])).
% 17.00/12.18 tff(28687,plain,
% 17.00/12.18 ((~((~v39(constB74)) <=> v1(constB74))) | (~v39(constB74)) | (~v1(constB74))),
% 17.00/12.18 inference(tautology,[status(thm)],[])).
% 17.00/12.18 tff(28688,plain,
% 17.00/12.18 ((~((~v39(constB74)) <=> v1(constB74))) | (~v39(constB74))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28687, 10574])).
% 17.00/12.18 tff(28689,plain,
% 17.00/12.18 (~v39(constB74)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28688, 28686])).
% 17.00/12.18 tff(28690,plain,
% 17.00/12.18 (((~v39(constB74)) | (~v9(constB74))) | v39(constB74)),
% 17.00/12.18 inference(tautology,[status(thm)],[])).
% 17.00/12.18 tff(28691,plain,
% 17.00/12.18 ((~v39(constB74)) | (~v9(constB74))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28690, 28689])).
% 17.00/12.18 tff(28692,plain,
% 17.00/12.18 ((~(v141(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))) | (~v141(constB74)) | (~((~v39(constB74)) | (~v9(constB74))))),
% 17.00/12.18 inference(tautology,[status(thm)],[])).
% 17.00/12.18 tff(28693,plain,
% 17.00/12.18 ((~(v141(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))) | (~v141(constB74))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28692, 28691])).
% 17.00/12.18 tff(28694,plain,
% 17.00/12.18 (~v141(constB74)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28693, 28684])).
% 17.00/12.18 tff(28695,plain,
% 17.00/12.18 (((~v141(constB74)) | (~v143(constB74))) | v141(constB74)),
% 17.00/12.18 inference(tautology,[status(thm)],[])).
% 17.00/12.18 tff(28696,plain,
% 17.00/12.18 ((~v141(constB74)) | (~v143(constB74))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28695, 28694])).
% 17.00/12.18 tff(28697,plain,
% 17.00/12.18 ((~(v155(constB74) <=> (~((~v141(constB74)) | (~v143(constB74)))))) | (~v155(constB74)) | (~((~v141(constB74)) | (~v143(constB74))))),
% 17.00/12.18 inference(tautology,[status(thm)],[])).
% 17.00/12.18 tff(28698,plain,
% 17.00/12.18 ((~(v155(constB74) <=> (~((~v141(constB74)) | (~v143(constB74)))))) | (~v155(constB74))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28697, 28696])).
% 17.00/12.18 tff(28699,plain,
% 17.00/12.18 (~v155(constB74)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28698, 28682])).
% 17.00/12.18 tff(28700,plain,
% 17.00/12.18 (((~v132(constB74)) | (~v155(constB74))) | v155(constB74)),
% 17.00/12.18 inference(tautology,[status(thm)],[])).
% 17.00/12.18 tff(28701,plain,
% 17.00/12.18 ((~v132(constB74)) | (~v155(constB74))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28700, 28699])).
% 17.00/12.18 tff(28702,plain,
% 17.00/12.18 ((~(v154(constB74) <=> (~((~v132(constB74)) | (~v155(constB74)))))) | (~v154(constB74)) | (~((~v132(constB74)) | (~v155(constB74))))),
% 17.00/12.18 inference(tautology,[status(thm)],[])).
% 17.00/12.18 tff(28703,plain,
% 17.00/12.18 (~v154(constB74)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28702, 28701, 28675])).
% 17.00/12.18 tff(28704,plain,
% 17.00/12.18 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB74) <=> (~((~v130(constB74)) | (~v139(constB74)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB74) <=> (~((~v130(constB74)) | (~v139(constB74))))))),
% 17.00/12.18 inference(rewrite,[status(thm)],[])).
% 17.00/12.18 tff(28705,plain,
% 17.00/12.18 ((v153(constB74) <=> (~((~v139(constB74)) | (~v130(constB74))))) <=> (v153(constB74) <=> (~((~v130(constB74)) | (~v139(constB74)))))),
% 17.00/12.18 inference(rewrite,[status(thm)],[])).
% 17.00/12.18 tff(28706,plain,
% 17.00/12.18 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB74) <=> (~((~v139(constB74)) | (~v130(constB74)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB74) <=> (~((~v130(constB74)) | (~v139(constB74))))))),
% 17.00/12.18 inference(monotonicity,[status(thm)],[28705])).
% 17.00/12.18 tff(28707,plain,
% 17.00/12.18 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB74) <=> (~((~v139(constB74)) | (~v130(constB74)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB74) <=> (~((~v130(constB74)) | (~v139(constB74))))))),
% 17.00/12.18 inference(transitivity,[status(thm)],[28706, 28704])).
% 17.00/12.18 tff(28708,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB74) <=> (~((~v139(constB74)) | (~v130(constB74)))))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28709,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB74) <=> (~((~v130(constB74)) | (~v139(constB74)))))),
% 17.00/12.18 inference(modus_ponens,[status(thm)],[28708, 28707])).
% 17.00/12.18 tff(28710,plain,
% 17.00/12.18 (v153(constB74) <=> (~((~v130(constB74)) | (~v139(constB74))))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28709, 447])).
% 17.00/12.18 tff(28711,plain,
% 17.00/12.18 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB74) <=> v152(constB74))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28712,plain,
% 17.00/12.18 (v130(constB74) <=> v152(constB74)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28711, 361])).
% 17.00/12.18 tff(28713,plain,
% 17.00/12.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB73, constB74)) | (v152(constB74) <=> v150(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB73, constB74)) | (v152(constB74) <=> v150(constB73)))),
% 17.00/12.18 inference(rewrite,[status(thm)],[])).
% 17.00/12.18 tff(28714,plain,
% 17.00/12.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB73, constB74)) | (v152(constB74) <=> v150(constB73)))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28715,plain,
% 17.00/12.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB73, constB74)) | (v152(constB74) <=> v150(constB73))),
% 17.00/12.18 inference(modus_ponens,[status(thm)],[28714, 28713])).
% 17.00/12.18 tff(28716,plain,
% 17.00/12.18 (v152(constB74) <=> v150(constB73)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28715, 7175, 373])).
% 17.00/12.18 tff(28717,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB73) <=> (v153(constB73) | v154(constB73)))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28718,plain,
% 17.00/12.18 (v150(constB73) <=> (v153(constB73) | v154(constB73))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28717, 387])).
% 17.00/12.18 tff(28719,plain,
% 17.00/12.18 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB73) <=> (~((~v130(constB73)) | (~v139(constB73)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB73) <=> (~((~v130(constB73)) | (~v139(constB73))))))),
% 17.00/12.18 inference(rewrite,[status(thm)],[])).
% 17.00/12.18 tff(28720,plain,
% 17.00/12.18 ((v153(constB73) <=> (~((~v139(constB73)) | (~v130(constB73))))) <=> (v153(constB73) <=> (~((~v130(constB73)) | (~v139(constB73)))))),
% 17.00/12.18 inference(rewrite,[status(thm)],[])).
% 17.00/12.18 tff(28721,plain,
% 17.00/12.18 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB73) <=> (~((~v139(constB73)) | (~v130(constB73)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB73) <=> (~((~v130(constB73)) | (~v139(constB73))))))),
% 17.00/12.18 inference(monotonicity,[status(thm)],[28720])).
% 17.00/12.18 tff(28722,plain,
% 17.00/12.18 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB73) <=> (~((~v139(constB73)) | (~v130(constB73)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB73) <=> (~((~v130(constB73)) | (~v139(constB73))))))),
% 17.00/12.18 inference(transitivity,[status(thm)],[28721, 28719])).
% 17.00/12.18 tff(28723,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB73) <=> (~((~v139(constB73)) | (~v130(constB73)))))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28724,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB73) <=> (~((~v130(constB73)) | (~v139(constB73)))))),
% 17.00/12.18 inference(modus_ponens,[status(thm)],[28723, 28722])).
% 17.00/12.18 tff(28725,plain,
% 17.00/12.18 (v153(constB73) <=> (~((~v130(constB73)) | (~v139(constB73))))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28724, 447])).
% 17.00/12.18 tff(28726,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB73)) <=> v140(constB73))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28727,plain,
% 17.00/12.18 ((~v139(constB73)) <=> v140(constB73)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28726, 203])).
% 17.00/12.18 tff(28728,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB73) <=> (v141(constB73) | v26(constB73)))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28729,plain,
% 17.00/12.18 (v140(constB73) <=> (v141(constB73) | v26(constB73))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28728, 212])).
% 17.00/12.18 tff(28730,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB73) <=> (~((~v39(constB73)) | (~v9(constB73)))))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28731,plain,
% 17.00/12.18 (v141(constB73) <=> (~((~v39(constB73)) | (~v9(constB73))))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28730, 130])).
% 17.00/12.18 tff(28732,plain,
% 17.00/12.18 (((~![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)))),
% 17.00/12.18 inference(rewrite,[status(thm)],[])).
% 17.00/12.18 tff(28733,plain,
% 17.00/12.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73)))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28734,plain,
% 17.00/12.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73))),
% 17.00/12.18 inference(modus_ponens,[status(thm)],[28733, 28732])).
% 17.00/12.18 tff(28735,plain,
% 17.00/12.18 (v13(constB74) <=> v9(constB73)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28734, 7175, 226])).
% 17.00/12.18 tff(28736,plain,
% 17.00/12.18 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB74) <=> v13(constB74))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28737,plain,
% 17.00/12.18 (v6(constB74) <=> v13(constB74)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28736, 240])).
% 17.00/12.18 tff(28738,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB74)) <=> v6(constB74))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28739,plain,
% 17.00/12.18 ((~v21(constB74)) <=> v6(constB74)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28738, 249])).
% 17.00/12.18 tff(28740,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB74) <=> (v20(constB74) | v21(constB74)))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28741,plain,
% 17.00/12.18 (v19(constB74) <=> (v20(constB74) | v21(constB74))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28740, 258])).
% 17.00/12.18 tff(28742,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74)))))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28743,plain,
% 17.00/12.18 (v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74))))),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28742, 270])).
% 17.00/12.18 tff(28744,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB74)) <=> v18(constB74))),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28745,plain,
% 17.00/12.18 ((~v4(constB74)) <=> v18(constB74)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28744, 279])).
% 17.00/12.18 tff(28746,plain,
% 17.00/12.18 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB74)),
% 17.00/12.18 inference(quant_inst,[status(thm)],[])).
% 17.00/12.18 tff(28747,plain,
% 17.00/12.18 (v4(constB74)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28746, 288])).
% 17.00/12.18 tff(28748,plain,
% 17.00/12.18 ((~((~v4(constB74)) <=> v18(constB74))) | (~v4(constB74)) | (~v18(constB74))),
% 17.00/12.18 inference(tautology,[status(thm)],[])).
% 17.00/12.18 tff(28749,plain,
% 17.00/12.18 (~v18(constB74)),
% 17.00/12.18 inference(unit_resolution,[status(thm)],[28748, 28747, 28745])).
% 17.00/12.18 tff(28750,plain,
% 17.00/12.18 ((~(v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74)))))) | v18(constB74) | ((~v19(constB74)) | (~v22(constB74)))),
% 17.00/12.18 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28751,plain,
% 17.00/12.19 ((~v19(constB74)) | (~v22(constB74))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28750, 28749, 28743])).
% 17.00/12.19 tff(28752,plain,
% 17.00/12.19 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB74) <=> (v1(constB74) | v6(constB74)))),
% 17.00/12.19 inference(quant_inst,[status(thm)],[])).
% 17.00/12.19 tff(28753,plain,
% 17.00/12.19 (v22(constB74) <=> (v1(constB74) | v6(constB74))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28752, 301])).
% 17.00/12.19 tff(28754,plain,
% 17.00/12.19 ((v1(constB74) | v6(constB74)) | (~v1(constB74))),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28755,plain,
% 17.00/12.19 (v1(constB74) | v6(constB74)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28754, 10574])).
% 17.00/12.19 tff(28756,plain,
% 17.00/12.19 ((~(v22(constB74) <=> (v1(constB74) | v6(constB74)))) | v22(constB74) | (~(v1(constB74) | v6(constB74)))),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28757,plain,
% 17.00/12.19 ((~(v22(constB74) <=> (v1(constB74) | v6(constB74)))) | v22(constB74)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28756, 28755])).
% 17.00/12.19 tff(28758,plain,
% 17.00/12.19 (v22(constB74)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28757, 28753])).
% 17.00/12.19 tff(28759,plain,
% 17.00/12.19 ((~((~v19(constB74)) | (~v22(constB74)))) | (~v19(constB74)) | (~v22(constB74))),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28760,plain,
% 17.00/12.19 ((~((~v19(constB74)) | (~v22(constB74)))) | (~v19(constB74))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28759, 28758])).
% 17.00/12.19 tff(28761,plain,
% 17.00/12.19 (~v19(constB74)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28760, 28751])).
% 17.00/12.19 tff(28762,plain,
% 17.00/12.19 ((~(v19(constB74) <=> (v20(constB74) | v21(constB74)))) | v19(constB74) | (~(v20(constB74) | v21(constB74)))),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28763,plain,
% 17.00/12.19 (~(v20(constB74) | v21(constB74))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28762, 28761, 28741])).
% 17.00/12.19 tff(28764,plain,
% 17.00/12.19 ((v20(constB74) | v21(constB74)) | (~v21(constB74))),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28765,plain,
% 17.00/12.19 (~v21(constB74)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28764, 28763])).
% 17.00/12.19 tff(28766,plain,
% 17.00/12.19 ((~((~v21(constB74)) <=> v6(constB74))) | v21(constB74) | v6(constB74)),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28767,plain,
% 17.00/12.19 (v6(constB74)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28766, 28765, 28739])).
% 17.00/12.19 tff(28768,plain,
% 17.00/12.19 ((~(v6(constB74) <=> v13(constB74))) | (~v6(constB74)) | v13(constB74)),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28769,plain,
% 17.00/12.19 (v13(constB74)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28768, 28767, 28737])).
% 17.00/12.19 tff(28770,plain,
% 17.00/12.19 ((~(v13(constB74) <=> v9(constB73))) | (~v13(constB74)) | v9(constB73)),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28771,plain,
% 17.00/12.19 (v9(constB73)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28770, 28769, 28735])).
% 17.00/12.19 tff(28772,plain,
% 17.00/12.19 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB73)) <=> v1(constB73))),
% 17.00/12.19 inference(quant_inst,[status(thm)],[])).
% 17.00/12.19 tff(28773,plain,
% 17.00/12.19 ((~v39(constB73)) <=> v1(constB73)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28772, 139])).
% 17.00/12.19 tff(28774,plain,
% 17.00/12.19 ((~((~v39(constB73)) <=> v1(constB73))) | v39(constB73) | v1(constB73)),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28775,plain,
% 17.00/12.19 ((~((~v39(constB73)) <=> v1(constB73))) | v39(constB73)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28774, 7219])).
% 17.00/12.19 tff(28776,plain,
% 17.00/12.19 (v39(constB73)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28775, 28773])).
% 17.00/12.19 tff(28777,plain,
% 17.00/12.19 ((~((~v39(constB73)) | (~v9(constB73)))) | (~v39(constB73)) | (~v9(constB73))),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28778,plain,
% 17.00/12.19 ((~((~v39(constB73)) | (~v9(constB73)))) | (~v9(constB73))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28777, 28776])).
% 17.00/12.19 tff(28779,plain,
% 17.00/12.19 (~((~v39(constB73)) | (~v9(constB73)))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28778, 28771])).
% 17.00/12.19 tff(28780,plain,
% 17.00/12.19 ((~(v141(constB73) <=> (~((~v39(constB73)) | (~v9(constB73)))))) | v141(constB73) | ((~v39(constB73)) | (~v9(constB73)))),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28781,plain,
% 17.00/12.19 (v141(constB73)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28780, 28779, 28731])).
% 17.00/12.19 tff(28782,plain,
% 17.00/12.19 ((v141(constB73) | v26(constB73)) | (~v141(constB73))),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28783,plain,
% 17.00/12.19 (v141(constB73) | v26(constB73)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28782, 28781])).
% 17.00/12.19 tff(28784,plain,
% 17.00/12.19 ((~(v140(constB73) <=> (v141(constB73) | v26(constB73)))) | v140(constB73) | (~(v141(constB73) | v26(constB73)))),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28785,plain,
% 17.00/12.19 (v140(constB73)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28784, 28783, 28729])).
% 17.00/12.19 tff(28786,plain,
% 17.00/12.19 ((~((~v139(constB73)) <=> v140(constB73))) | (~v139(constB73)) | (~v140(constB73))),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28787,plain,
% 17.00/12.19 (~v139(constB73)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28786, 28785, 28727])).
% 17.00/12.19 tff(28788,plain,
% 17.00/12.19 (((~v130(constB73)) | (~v139(constB73))) | v139(constB73)),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28789,plain,
% 17.00/12.19 ((~v130(constB73)) | (~v139(constB73))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28788, 28787])).
% 17.00/12.19 tff(28790,plain,
% 17.00/12.19 ((~(v153(constB73) <=> (~((~v130(constB73)) | (~v139(constB73)))))) | (~v153(constB73)) | (~((~v130(constB73)) | (~v139(constB73))))),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28791,plain,
% 17.00/12.19 (~v153(constB73)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28790, 28789, 28725])).
% 17.00/12.19 tff(28792,plain,
% 17.00/12.19 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB73) <=> (~((~v132(constB73)) | (~v155(constB73)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB73) <=> (~((~v132(constB73)) | (~v155(constB73))))))),
% 17.00/12.19 inference(rewrite,[status(thm)],[])).
% 17.00/12.19 tff(28793,plain,
% 17.00/12.19 ((v154(constB73) <=> (~((~v155(constB73)) | (~v132(constB73))))) <=> (v154(constB73) <=> (~((~v132(constB73)) | (~v155(constB73)))))),
% 17.00/12.19 inference(rewrite,[status(thm)],[])).
% 17.00/12.19 tff(28794,plain,
% 17.00/12.19 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB73) <=> (~((~v155(constB73)) | (~v132(constB73)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB73) <=> (~((~v132(constB73)) | (~v155(constB73))))))),
% 17.00/12.19 inference(monotonicity,[status(thm)],[28793])).
% 17.00/12.19 tff(28795,plain,
% 17.00/12.19 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB73) <=> (~((~v155(constB73)) | (~v132(constB73)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB73) <=> (~((~v132(constB73)) | (~v155(constB73))))))),
% 17.00/12.19 inference(transitivity,[status(thm)],[28794, 28792])).
% 17.00/12.19 tff(28796,plain,
% 17.00/12.19 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB73) <=> (~((~v155(constB73)) | (~v132(constB73)))))),
% 17.00/12.19 inference(quant_inst,[status(thm)],[])).
% 17.00/12.19 tff(28797,plain,
% 17.00/12.19 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB73) <=> (~((~v132(constB73)) | (~v155(constB73)))))),
% 17.00/12.19 inference(modus_ponens,[status(thm)],[28796, 28795])).
% 17.00/12.19 tff(28798,plain,
% 17.00/12.19 (v154(constB73) <=> (~((~v132(constB73)) | (~v155(constB73))))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28797, 399])).
% 17.00/12.19 tff(28799,plain,
% 17.00/12.19 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB73) <=> v137(constB73))),
% 17.00/12.19 inference(quant_inst,[status(thm)],[])).
% 17.00/12.19 tff(28800,plain,
% 17.00/12.19 (v132(constB73) <=> v137(constB73)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28799, 558])).
% 17.00/12.19 tff(28801,plain,
% 17.00/12.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB72, constB73)) | (v137(constB73) <=> v135(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB72, constB73)) | (v137(constB73) <=> v135(constB72)))),
% 17.00/12.19 inference(rewrite,[status(thm)],[])).
% 17.00/12.19 tff(28802,plain,
% 17.00/12.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB72, constB73)) | (v137(constB73) <=> v135(constB72)))),
% 17.00/12.19 inference(quant_inst,[status(thm)],[])).
% 17.00/12.19 tff(28803,plain,
% 17.00/12.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB72, constB73)) | (v137(constB73) <=> v135(constB72))),
% 17.00/12.19 inference(modus_ponens,[status(thm)],[28802, 28801])).
% 17.00/12.19 tff(28804,plain,
% 17.00/12.19 (v137(constB73) <=> v135(constB72)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28803, 7205, 570])).
% 17.00/12.19 tff(28805,plain,
% 17.00/12.19 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB72) <=> (v138(constB72) | v142(constB72)))),
% 17.00/12.19 inference(quant_inst,[status(thm)],[])).
% 17.00/12.19 tff(28806,plain,
% 17.00/12.19 (v135(constB72) <=> (v138(constB72) | v142(constB72))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28805, 584])).
% 17.00/12.19 tff(28807,plain,
% 17.00/12.19 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB72) <=> (~((~v143(constB72)) | (~v144(constB72)))))),
% 17.00/12.19 inference(quant_inst,[status(thm)],[])).
% 17.00/12.19 tff(28808,plain,
% 17.00/12.19 (v142(constB72) <=> (~((~v143(constB72)) | (~v144(constB72))))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28807, 596])).
% 17.00/12.19 tff(28809,plain,
% 17.00/12.19 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB72) <=> (~((~v141(constB72)) | (~v145(constB72)))))),
% 17.00/12.19 inference(quant_inst,[status(thm)],[])).
% 17.00/12.19 tff(28810,plain,
% 17.00/12.19 (v144(constB72) <=> (~((~v141(constB72)) | (~v145(constB72))))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28809, 608])).
% 17.00/12.19 tff(28811,plain,
% 17.00/12.19 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB72) <=> (~((~v39(constB72)) | (~v9(constB72)))))),
% 17.00/12.19 inference(quant_inst,[status(thm)],[])).
% 17.00/12.19 tff(28812,plain,
% 17.00/12.19 (v141(constB72) <=> (~((~v39(constB72)) | (~v9(constB72))))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28811, 130])).
% 17.00/12.19 tff(28813,plain,
% 17.00/12.19 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB72)) <=> v1(constB72))),
% 17.00/12.19 inference(quant_inst,[status(thm)],[])).
% 17.00/12.19 tff(28814,plain,
% 17.00/12.19 ((~v39(constB72)) <=> v1(constB72)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28813, 139])).
% 17.00/12.19 tff(28815,plain,
% 17.00/12.19 ((~((~v39(constB72)) <=> v1(constB72))) | (~v39(constB72)) | (~v1(constB72))),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28816,plain,
% 17.00/12.19 ((~((~v39(constB72)) <=> v1(constB72))) | (~v39(constB72))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28815, 10428])).
% 17.00/12.19 tff(28817,plain,
% 17.00/12.19 (~v39(constB72)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28816, 28814])).
% 17.00/12.19 tff(28818,plain,
% 17.00/12.19 (((~v39(constB72)) | (~v9(constB72))) | v39(constB72)),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28819,plain,
% 17.00/12.19 ((~v39(constB72)) | (~v9(constB72))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28818, 28817])).
% 17.00/12.19 tff(28820,plain,
% 17.00/12.19 ((~(v141(constB72) <=> (~((~v39(constB72)) | (~v9(constB72)))))) | (~v141(constB72)) | (~((~v39(constB72)) | (~v9(constB72))))),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28821,plain,
% 17.00/12.19 ((~(v141(constB72) <=> (~((~v39(constB72)) | (~v9(constB72)))))) | (~v141(constB72))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28820, 28819])).
% 17.00/12.19 tff(28822,plain,
% 17.00/12.19 (~v141(constB72)),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28821, 28812])).
% 17.00/12.19 tff(28823,plain,
% 17.00/12.19 (((~v141(constB72)) | (~v145(constB72))) | v141(constB72)),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28824,plain,
% 17.00/12.19 ((~v141(constB72)) | (~v145(constB72))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28823, 28822])).
% 17.00/12.19 tff(28825,plain,
% 17.00/12.19 ((~(v144(constB72) <=> (~((~v141(constB72)) | (~v145(constB72)))))) | (~v144(constB72)) | (~((~v141(constB72)) | (~v145(constB72))))),
% 17.00/12.19 inference(tautology,[status(thm)],[])).
% 17.00/12.19 tff(28826,plain,
% 17.00/12.19 ((~(v144(constB72) <=> (~((~v141(constB72)) | (~v145(constB72)))))) | (~v144(constB72))),
% 17.00/12.19 inference(unit_resolution,[status(thm)],[28825, 28824])).
% 17.06/12.19 tff(28827,plain,
% 17.06/12.19 (~v144(constB72)),
% 17.06/12.19 inference(unit_resolution,[status(thm)],[28826, 28810])).
% 17.06/12.19 tff(28828,plain,
% 17.06/12.19 (((~v143(constB72)) | (~v144(constB72))) | v144(constB72)),
% 17.06/12.19 inference(tautology,[status(thm)],[])).
% 17.06/12.19 tff(28829,plain,
% 17.06/12.19 ((~v143(constB72)) | (~v144(constB72))),
% 17.06/12.19 inference(unit_resolution,[status(thm)],[28828, 28827])).
% 17.06/12.19 tff(28830,plain,
% 17.06/12.19 ((~(v142(constB72) <=> (~((~v143(constB72)) | (~v144(constB72)))))) | (~v142(constB72)) | (~((~v143(constB72)) | (~v144(constB72))))),
% 17.06/12.19 inference(tautology,[status(thm)],[])).
% 17.06/12.19 tff(28831,plain,
% 17.06/12.19 (~v142(constB72)),
% 17.06/12.19 inference(unit_resolution,[status(thm)],[28830, 28829, 28808])).
% 17.06/12.19 tff(28832,plain,
% 17.06/12.19 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB72) <=> (~((~v132(constB72)) | (~v139(constB72)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB72) <=> (~((~v132(constB72)) | (~v139(constB72))))))),
% 17.06/12.19 inference(rewrite,[status(thm)],[])).
% 17.06/12.19 tff(28833,plain,
% 17.06/12.19 ((v138(constB72) <=> (~((~v139(constB72)) | (~v132(constB72))))) <=> (v138(constB72) <=> (~((~v132(constB72)) | (~v139(constB72)))))),
% 17.06/12.19 inference(rewrite,[status(thm)],[])).
% 17.06/12.19 tff(28834,plain,
% 17.06/12.19 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB72) <=> (~((~v139(constB72)) | (~v132(constB72)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB72) <=> (~((~v132(constB72)) | (~v139(constB72))))))),
% 17.06/12.19 inference(monotonicity,[status(thm)],[28833])).
% 17.06/12.19 tff(28835,plain,
% 17.06/12.19 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB72) <=> (~((~v139(constB72)) | (~v132(constB72)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB72) <=> (~((~v132(constB72)) | (~v139(constB72))))))),
% 17.06/12.19 inference(transitivity,[status(thm)],[28834, 28832])).
% 17.06/12.19 tff(28836,plain,
% 17.06/12.19 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB72) <=> (~((~v139(constB72)) | (~v132(constB72)))))),
% 17.06/12.19 inference(quant_inst,[status(thm)],[])).
% 17.06/12.19 tff(28837,plain,
% 17.06/12.19 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB72) <=> (~((~v132(constB72)) | (~v139(constB72)))))),
% 17.06/12.19 inference(modus_ponens,[status(thm)],[28836, 28835])).
% 17.06/12.19 tff(28838,plain,
% 17.06/12.19 (v138(constB72) <=> (~((~v132(constB72)) | (~v139(constB72))))),
% 17.06/12.19 inference(unit_resolution,[status(thm)],[28837, 644])).
% 17.06/12.19 tff(28839,plain,
% 17.06/12.19 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB72) <=> v137(constB72))),
% 17.06/12.19 inference(quant_inst,[status(thm)],[])).
% 17.06/12.19 tff(28840,plain,
% 17.06/12.19 (v132(constB72) <=> v137(constB72)),
% 17.06/12.19 inference(unit_resolution,[status(thm)],[28839, 558])).
% 17.06/12.19 tff(28841,plain,
% 17.06/12.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB71, constB72)) | (v137(constB72) <=> v135(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB71, constB72)) | (v137(constB72) <=> v135(constB71)))),
% 17.06/12.19 inference(rewrite,[status(thm)],[])).
% 17.06/12.19 tff(28842,plain,
% 17.06/12.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB71, constB72)) | (v137(constB72) <=> v135(constB71)))),
% 17.06/12.19 inference(quant_inst,[status(thm)],[])).
% 17.06/12.19 tff(28843,plain,
% 17.06/12.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB71, constB72)) | (v137(constB72) <=> v135(constB71))),
% 17.06/12.19 inference(modus_ponens,[status(thm)],[28842, 28841])).
% 17.06/12.19 tff(28844,plain,
% 17.06/12.19 (v137(constB72) <=> v135(constB71)),
% 17.06/12.19 inference(unit_resolution,[status(thm)],[28843, 7241, 570])).
% 17.06/12.19 tff(28845,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB71) <=> (v138(constB71) | v142(constB71)))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28846,plain,
% 17.06/12.20 (v135(constB71) <=> (v138(constB71) | v142(constB71))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28845, 584])).
% 17.06/12.20 tff(28847,plain,
% 17.06/12.20 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB71) <=> (~((~v132(constB71)) | (~v139(constB71)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB71) <=> (~((~v132(constB71)) | (~v139(constB71))))))),
% 17.06/12.20 inference(rewrite,[status(thm)],[])).
% 17.06/12.20 tff(28848,plain,
% 17.06/12.20 ((v138(constB71) <=> (~((~v139(constB71)) | (~v132(constB71))))) <=> (v138(constB71) <=> (~((~v132(constB71)) | (~v139(constB71)))))),
% 17.06/12.20 inference(rewrite,[status(thm)],[])).
% 17.06/12.20 tff(28849,plain,
% 17.06/12.20 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB71) <=> (~((~v139(constB71)) | (~v132(constB71)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB71) <=> (~((~v132(constB71)) | (~v139(constB71))))))),
% 17.06/12.20 inference(monotonicity,[status(thm)],[28848])).
% 17.06/12.20 tff(28850,plain,
% 17.06/12.20 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB71) <=> (~((~v139(constB71)) | (~v132(constB71)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB71) <=> (~((~v132(constB71)) | (~v139(constB71))))))),
% 17.06/12.20 inference(transitivity,[status(thm)],[28849, 28847])).
% 17.06/12.20 tff(28851,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB71) <=> (~((~v139(constB71)) | (~v132(constB71)))))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28852,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB71) <=> (~((~v132(constB71)) | (~v139(constB71)))))),
% 17.06/12.20 inference(modus_ponens,[status(thm)],[28851, 28850])).
% 17.06/12.20 tff(28853,plain,
% 17.06/12.20 (v138(constB71) <=> (~((~v132(constB71)) | (~v139(constB71))))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28852, 644])).
% 17.06/12.20 tff(28854,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB71)) <=> v140(constB71))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28855,plain,
% 17.06/12.20 ((~v139(constB71)) <=> v140(constB71)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28854, 203])).
% 17.06/12.20 tff(28856,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB71) <=> (v141(constB71) | v26(constB71)))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28857,plain,
% 17.06/12.20 (v140(constB71) <=> (v141(constB71) | v26(constB71))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28856, 212])).
% 17.06/12.20 tff(28858,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB71) <=> (~((~v39(constB71)) | (~v9(constB71)))))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28859,plain,
% 17.06/12.20 (v141(constB71) <=> (~((~v39(constB71)) | (~v9(constB71))))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28858, 130])).
% 17.06/12.20 tff(28860,plain,
% 17.06/12.20 (((~![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)))),
% 17.06/12.20 inference(rewrite,[status(thm)],[])).
% 17.06/12.20 tff(28861,plain,
% 17.06/12.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB71, constB72)) | (v13(constB72) <=> v9(constB71)))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28862,plain,
% 17.06/12.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB71, constB72)) | (v13(constB72) <=> v9(constB71))),
% 17.06/12.20 inference(modus_ponens,[status(thm)],[28861, 28860])).
% 17.06/12.20 tff(28863,plain,
% 17.06/12.20 (v13(constB72) <=> v9(constB71)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28862, 7241, 226])).
% 17.06/12.20 tff(28864,plain,
% 17.06/12.20 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB72) <=> v13(constB72))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28865,plain,
% 17.06/12.20 (v6(constB72) <=> v13(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28864, 240])).
% 17.06/12.20 tff(28866,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB72)) <=> v6(constB72))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28867,plain,
% 17.06/12.20 ((~v21(constB72)) <=> v6(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28866, 249])).
% 17.06/12.20 tff(28868,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB72) <=> (v20(constB72) | v21(constB72)))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28869,plain,
% 17.06/12.20 (v19(constB72) <=> (v20(constB72) | v21(constB72))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28868, 258])).
% 17.06/12.20 tff(28870,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB72) <=> (~((~v19(constB72)) | (~v22(constB72)))))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28871,plain,
% 17.06/12.20 (v18(constB72) <=> (~((~v19(constB72)) | (~v22(constB72))))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28870, 270])).
% 17.06/12.20 tff(28872,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB72)) <=> v18(constB72))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28873,plain,
% 17.06/12.20 ((~v4(constB72)) <=> v18(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28872, 279])).
% 17.06/12.20 tff(28874,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB72)),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28875,plain,
% 17.06/12.20 (v4(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28874, 288])).
% 17.06/12.20 tff(28876,plain,
% 17.06/12.20 ((~((~v4(constB72)) <=> v18(constB72))) | (~v4(constB72)) | (~v18(constB72))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28877,plain,
% 17.06/12.20 (~v18(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28876, 28875, 28873])).
% 17.06/12.20 tff(28878,plain,
% 17.06/12.20 ((~(v18(constB72) <=> (~((~v19(constB72)) | (~v22(constB72)))))) | v18(constB72) | ((~v19(constB72)) | (~v22(constB72)))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28879,plain,
% 17.06/12.20 ((~v19(constB72)) | (~v22(constB72))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28878, 28877, 28871])).
% 17.06/12.20 tff(28880,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB72) <=> (v1(constB72) | v6(constB72)))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28881,plain,
% 17.06/12.20 (v22(constB72) <=> (v1(constB72) | v6(constB72))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28880, 301])).
% 17.06/12.20 tff(28882,plain,
% 17.06/12.20 ((v1(constB72) | v6(constB72)) | (~v1(constB72))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28883,plain,
% 17.06/12.20 (v1(constB72) | v6(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28882, 10428])).
% 17.06/12.20 tff(28884,plain,
% 17.06/12.20 ((~(v22(constB72) <=> (v1(constB72) | v6(constB72)))) | v22(constB72) | (~(v1(constB72) | v6(constB72)))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28885,plain,
% 17.06/12.20 ((~(v22(constB72) <=> (v1(constB72) | v6(constB72)))) | v22(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28884, 28883])).
% 17.06/12.20 tff(28886,plain,
% 17.06/12.20 (v22(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28885, 28881])).
% 17.06/12.20 tff(28887,plain,
% 17.06/12.20 ((~((~v19(constB72)) | (~v22(constB72)))) | (~v19(constB72)) | (~v22(constB72))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28888,plain,
% 17.06/12.20 ((~((~v19(constB72)) | (~v22(constB72)))) | (~v19(constB72))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28887, 28886])).
% 17.06/12.20 tff(28889,plain,
% 17.06/12.20 (~v19(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28888, 28879])).
% 17.06/12.20 tff(28890,plain,
% 17.06/12.20 ((~(v19(constB72) <=> (v20(constB72) | v21(constB72)))) | v19(constB72) | (~(v20(constB72) | v21(constB72)))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28891,plain,
% 17.06/12.20 (~(v20(constB72) | v21(constB72))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28890, 28889, 28869])).
% 17.06/12.20 tff(28892,plain,
% 17.06/12.20 ((v20(constB72) | v21(constB72)) | (~v21(constB72))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28893,plain,
% 17.06/12.20 (~v21(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28892, 28891])).
% 17.06/12.20 tff(28894,plain,
% 17.06/12.20 ((~((~v21(constB72)) <=> v6(constB72))) | v21(constB72) | v6(constB72)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28895,plain,
% 17.06/12.20 (v6(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28894, 28893, 28867])).
% 17.06/12.20 tff(28896,plain,
% 17.06/12.20 ((~(v6(constB72) <=> v13(constB72))) | (~v6(constB72)) | v13(constB72)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28897,plain,
% 17.06/12.20 (v13(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28896, 28895, 28865])).
% 17.06/12.20 tff(28898,plain,
% 17.06/12.20 ((~(v13(constB72) <=> v9(constB71))) | (~v13(constB72)) | v9(constB71)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28899,plain,
% 17.06/12.20 (v9(constB71)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28898, 28897, 28863])).
% 17.06/12.20 tff(28900,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB71)) <=> v1(constB71))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28901,plain,
% 17.06/12.20 ((~v39(constB71)) <=> v1(constB71)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28900, 139])).
% 17.06/12.20 tff(28902,plain,
% 17.06/12.20 ((~((~v39(constB71)) <=> v1(constB71))) | v39(constB71) | v1(constB71)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28903,plain,
% 17.06/12.20 ((~((~v39(constB71)) <=> v1(constB71))) | v39(constB71)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28902, 7280])).
% 17.06/12.20 tff(28904,plain,
% 17.06/12.20 (v39(constB71)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28903, 28901])).
% 17.06/12.20 tff(28905,plain,
% 17.06/12.20 ((~((~v39(constB71)) | (~v9(constB71)))) | (~v39(constB71)) | (~v9(constB71))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28906,plain,
% 17.06/12.20 ((~((~v39(constB71)) | (~v9(constB71)))) | (~v9(constB71))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28905, 28904])).
% 17.06/12.20 tff(28907,plain,
% 17.06/12.20 (~((~v39(constB71)) | (~v9(constB71)))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28906, 28899])).
% 17.06/12.20 tff(28908,plain,
% 17.06/12.20 ((~(v141(constB71) <=> (~((~v39(constB71)) | (~v9(constB71)))))) | v141(constB71) | ((~v39(constB71)) | (~v9(constB71)))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28909,plain,
% 17.06/12.20 (v141(constB71)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28908, 28907, 28859])).
% 17.06/12.20 tff(28910,plain,
% 17.06/12.20 ((v141(constB71) | v26(constB71)) | (~v141(constB71))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28911,plain,
% 17.06/12.20 (v141(constB71) | v26(constB71)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28910, 28909])).
% 17.06/12.20 tff(28912,plain,
% 17.06/12.20 ((~(v140(constB71) <=> (v141(constB71) | v26(constB71)))) | v140(constB71) | (~(v141(constB71) | v26(constB71)))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28913,plain,
% 17.06/12.20 (v140(constB71)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28912, 28911, 28857])).
% 17.06/12.20 tff(28914,plain,
% 17.06/12.20 ((~((~v139(constB71)) <=> v140(constB71))) | (~v139(constB71)) | (~v140(constB71))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28915,plain,
% 17.06/12.20 (~v139(constB71)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28914, 28913, 28855])).
% 17.06/12.20 tff(28916,plain,
% 17.06/12.20 (((~v132(constB71)) | (~v139(constB71))) | v139(constB71)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28917,plain,
% 17.06/12.20 ((~v132(constB71)) | (~v139(constB71))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28916, 28915])).
% 17.06/12.20 tff(28918,plain,
% 17.06/12.20 ((~(v138(constB71) <=> (~((~v132(constB71)) | (~v139(constB71)))))) | (~v138(constB71)) | (~((~v132(constB71)) | (~v139(constB71))))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28919,plain,
% 17.06/12.20 (~v138(constB71)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28918, 28917, 28853])).
% 17.06/12.20 tff(28920,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB71) <=> (~((~v143(constB71)) | (~v144(constB71)))))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28921,plain,
% 17.06/12.20 (v142(constB71) <=> (~((~v143(constB71)) | (~v144(constB71))))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28920, 596])).
% 17.06/12.20 tff(28922,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB71) <=> (~((~v141(constB71)) | (~v145(constB71)))))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28923,plain,
% 17.06/12.20 (v144(constB71) <=> (~((~v141(constB71)) | (~v145(constB71))))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28922, 608])).
% 17.06/12.20 tff(28924,plain,
% 17.06/12.20 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB71) <=> (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))))),
% 17.06/12.20 inference(quant_inst,[status(thm)],[])).
% 17.06/12.20 tff(28925,plain,
% 17.06/12.20 (v145(constB71) <=> (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28924, 755])).
% 17.06/12.20 tff(28926,plain,
% 17.06/12.20 ((v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))) | (~v84(constB71, 1))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28927,plain,
% 17.06/12.20 (v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28926, 10386])).
% 17.06/12.20 tff(28928,plain,
% 17.06/12.20 ((~(v145(constB71) <=> (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0)))))) | (~v145(constB71)) | (~(v84(constB71, 1) | v84(constB71, 2) | (~v84(constB71, 0))))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28929,plain,
% 17.06/12.20 (~v145(constB71)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28928, 28927, 28925])).
% 17.06/12.20 tff(28930,plain,
% 17.06/12.20 (((~v141(constB71)) | (~v145(constB71))) | v145(constB71)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28931,plain,
% 17.06/12.20 ((~v141(constB71)) | (~v145(constB71))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28930, 28929])).
% 17.06/12.20 tff(28932,plain,
% 17.06/12.20 ((~(v144(constB71) <=> (~((~v141(constB71)) | (~v145(constB71)))))) | (~v144(constB71)) | (~((~v141(constB71)) | (~v145(constB71))))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28933,plain,
% 17.06/12.20 (~v144(constB71)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28932, 28931, 28923])).
% 17.06/12.20 tff(28934,plain,
% 17.06/12.20 (((~v143(constB71)) | (~v144(constB71))) | v144(constB71)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28935,plain,
% 17.06/12.20 ((~v143(constB71)) | (~v144(constB71))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28934, 28933])).
% 17.06/12.20 tff(28936,plain,
% 17.06/12.20 ((~(v142(constB71) <=> (~((~v143(constB71)) | (~v144(constB71)))))) | (~v142(constB71)) | (~((~v143(constB71)) | (~v144(constB71))))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28937,plain,
% 17.06/12.20 (~v142(constB71)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28936, 28935, 28921])).
% 17.06/12.20 tff(28938,plain,
% 17.06/12.20 ((~(v138(constB71) | v142(constB71))) | v138(constB71) | v142(constB71)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28939,plain,
% 17.06/12.20 (~(v138(constB71) | v142(constB71))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28938, 28937, 28919])).
% 17.06/12.20 tff(28940,plain,
% 17.06/12.20 ((~(v135(constB71) <=> (v138(constB71) | v142(constB71)))) | (~v135(constB71)) | (v138(constB71) | v142(constB71))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28941,plain,
% 17.06/12.20 (~v135(constB71)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28940, 28939, 28846])).
% 17.06/12.20 tff(28942,plain,
% 17.06/12.20 ((~(v137(constB72) <=> v135(constB71))) | (~v137(constB72)) | v135(constB71)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28943,plain,
% 17.06/12.20 (~v137(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28942, 28941, 28844])).
% 17.06/12.20 tff(28944,plain,
% 17.06/12.20 ((~(v132(constB72) <=> v137(constB72))) | (~v132(constB72)) | v137(constB72)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28945,plain,
% 17.06/12.20 (~v132(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28944, 28943, 28840])).
% 17.06/12.20 tff(28946,plain,
% 17.06/12.20 (((~v132(constB72)) | (~v139(constB72))) | v132(constB72)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28947,plain,
% 17.06/12.20 ((~v132(constB72)) | (~v139(constB72))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28946, 28945])).
% 17.06/12.20 tff(28948,plain,
% 17.06/12.20 ((~(v138(constB72) <=> (~((~v132(constB72)) | (~v139(constB72)))))) | (~v138(constB72)) | (~((~v132(constB72)) | (~v139(constB72))))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28949,plain,
% 17.06/12.20 (~v138(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28948, 28947, 28838])).
% 17.06/12.20 tff(28950,plain,
% 17.06/12.20 ((~(v138(constB72) | v142(constB72))) | v138(constB72) | v142(constB72)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28951,plain,
% 17.06/12.20 (~(v138(constB72) | v142(constB72))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28950, 28949, 28831])).
% 17.06/12.20 tff(28952,plain,
% 17.06/12.20 ((~(v135(constB72) <=> (v138(constB72) | v142(constB72)))) | (~v135(constB72)) | (v138(constB72) | v142(constB72))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28953,plain,
% 17.06/12.20 (~v135(constB72)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28952, 28951, 28806])).
% 17.06/12.20 tff(28954,plain,
% 17.06/12.20 ((~(v137(constB73) <=> v135(constB72))) | (~v137(constB73)) | v135(constB72)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28955,plain,
% 17.06/12.20 (~v137(constB73)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28954, 28953, 28804])).
% 17.06/12.20 tff(28956,plain,
% 17.06/12.20 ((~(v132(constB73) <=> v137(constB73))) | (~v132(constB73)) | v137(constB73)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28957,plain,
% 17.06/12.20 (~v132(constB73)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28956, 28955, 28800])).
% 17.06/12.20 tff(28958,plain,
% 17.06/12.20 (((~v132(constB73)) | (~v155(constB73))) | v132(constB73)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28959,plain,
% 17.06/12.20 ((~v132(constB73)) | (~v155(constB73))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28958, 28957])).
% 17.06/12.20 tff(28960,plain,
% 17.06/12.20 ((~(v154(constB73) <=> (~((~v132(constB73)) | (~v155(constB73)))))) | (~v154(constB73)) | (~((~v132(constB73)) | (~v155(constB73))))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28961,plain,
% 17.06/12.20 (~v154(constB73)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28960, 28959, 28798])).
% 17.06/12.20 tff(28962,plain,
% 17.06/12.20 ((~(v153(constB73) | v154(constB73))) | v153(constB73) | v154(constB73)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28963,plain,
% 17.06/12.20 (~(v153(constB73) | v154(constB73))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28962, 28961, 28791])).
% 17.06/12.20 tff(28964,plain,
% 17.06/12.20 ((~(v150(constB73) <=> (v153(constB73) | v154(constB73)))) | (~v150(constB73)) | (v153(constB73) | v154(constB73))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28965,plain,
% 17.06/12.20 (~v150(constB73)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28964, 28963, 28718])).
% 17.06/12.20 tff(28966,plain,
% 17.06/12.20 ((~(v152(constB74) <=> v150(constB73))) | (~v152(constB74)) | v150(constB73)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28967,plain,
% 17.06/12.20 (~v152(constB74)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28966, 28965, 28716])).
% 17.06/12.20 tff(28968,plain,
% 17.06/12.20 ((~(v130(constB74) <=> v152(constB74))) | (~v130(constB74)) | v152(constB74)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28969,plain,
% 17.06/12.20 (~v130(constB74)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28968, 28967, 28712])).
% 17.06/12.20 tff(28970,plain,
% 17.06/12.20 (((~v130(constB74)) | (~v139(constB74))) | v130(constB74)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28971,plain,
% 17.06/12.20 ((~v130(constB74)) | (~v139(constB74))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28970, 28969])).
% 17.06/12.20 tff(28972,plain,
% 17.06/12.20 ((~(v153(constB74) <=> (~((~v130(constB74)) | (~v139(constB74)))))) | (~v153(constB74)) | (~((~v130(constB74)) | (~v139(constB74))))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28973,plain,
% 17.06/12.20 (~v153(constB74)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28972, 28971, 28710])).
% 17.06/12.20 tff(28974,plain,
% 17.06/12.20 ((~(v153(constB74) | v154(constB74))) | v153(constB74) | v154(constB74)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28975,plain,
% 17.06/12.20 (~(v153(constB74) | v154(constB74))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28974, 28973, 28703])).
% 17.06/12.20 tff(28976,plain,
% 17.06/12.20 ((~(v150(constB74) <=> (v153(constB74) | v154(constB74)))) | (~v150(constB74)) | (v153(constB74) | v154(constB74))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28977,plain,
% 17.06/12.20 (~v150(constB74)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28976, 28975, 28668])).
% 17.06/12.20 tff(28978,plain,
% 17.06/12.20 ((~(v152(constB75) <=> v150(constB74))) | (~v152(constB75)) | v150(constB74)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28979,plain,
% 17.06/12.20 (~v152(constB75)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28978, 28977, 28666])).
% 17.06/12.20 tff(28980,plain,
% 17.06/12.20 ((~(v130(constB75) <=> v152(constB75))) | (~v130(constB75)) | v152(constB75)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28981,plain,
% 17.06/12.20 (~v130(constB75)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28980, 28979, 28662])).
% 17.06/12.20 tff(28982,plain,
% 17.06/12.20 (((~v130(constB75)) | (~v155(constB75))) | v130(constB75)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28983,plain,
% 17.06/12.20 ((~v130(constB75)) | (~v155(constB75))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28982, 28981])).
% 17.06/12.20 tff(28984,plain,
% 17.06/12.20 ((~(v164(constB75) <=> (~((~v130(constB75)) | (~v155(constB75)))))) | (~v164(constB75)) | (~((~v130(constB75)) | (~v155(constB75))))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28985,plain,
% 17.06/12.20 (~v164(constB75)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28984, 28983, 28660])).
% 17.06/12.20 tff(28986,plain,
% 17.06/12.20 ((~(v163(constB75) | v164(constB75))) | v163(constB75) | v164(constB75)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28987,plain,
% 17.06/12.20 (~(v163(constB75) | v164(constB75))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28986, 28985, 28653])).
% 17.06/12.20 tff(28988,plain,
% 17.06/12.20 ((~(v160(constB75) <=> (v163(constB75) | v164(constB75)))) | (~v160(constB75)) | (v163(constB75) | v164(constB75))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28989,plain,
% 17.06/12.20 (~v160(constB75)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28988, 28987, 28580])).
% 17.06/12.20 tff(28990,plain,
% 17.06/12.20 ((~(v162(constB76) <=> v160(constB75))) | (~v162(constB76)) | v160(constB75)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28991,plain,
% 17.06/12.20 (~v162(constB76)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28990, 28989, 28578])).
% 17.06/12.20 tff(28992,plain,
% 17.06/12.20 ((~(v128(constB76) <=> v162(constB76))) | (~v128(constB76)) | v162(constB76)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28993,plain,
% 17.06/12.20 (~v128(constB76)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28992, 28991, 28574])).
% 17.06/12.20 tff(28994,plain,
% 17.06/12.20 (((~v128(constB76)) | (~v139(constB76))) | v128(constB76)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28995,plain,
% 17.06/12.20 ((~v128(constB76)) | (~v139(constB76))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28994, 28993])).
% 17.06/12.20 tff(28996,plain,
% 17.06/12.20 ((~(v163(constB76) <=> (~((~v128(constB76)) | (~v139(constB76)))))) | (~v163(constB76)) | (~((~v128(constB76)) | (~v139(constB76))))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28997,plain,
% 17.06/12.20 (~v163(constB76)),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28996, 28995, 28572])).
% 17.06/12.20 tff(28998,plain,
% 17.06/12.20 ((~(v163(constB76) | v164(constB76))) | v163(constB76) | v164(constB76)),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.20 tff(28999,plain,
% 17.06/12.20 (~(v163(constB76) | v164(constB76))),
% 17.06/12.20 inference(unit_resolution,[status(thm)],[28998, 28997, 28565])).
% 17.06/12.20 tff(29000,plain,
% 17.06/12.20 ((~(v160(constB76) <=> (v163(constB76) | v164(constB76)))) | (~v160(constB76)) | (v163(constB76) | v164(constB76))),
% 17.06/12.20 inference(tautology,[status(thm)],[])).
% 17.06/12.21 tff(29001,plain,
% 17.06/12.21 (~v160(constB76)),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29000, 28999, 28530])).
% 17.06/12.21 tff(29002,plain,
% 17.06/12.21 ((~(v162(constB77) <=> v160(constB76))) | (~v162(constB77)) | v160(constB76)),
% 17.06/12.21 inference(tautology,[status(thm)],[])).
% 17.06/12.21 tff(29003,plain,
% 17.06/12.21 (~v162(constB77)),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29002, 29001, 28528])).
% 17.06/12.21 tff(29004,plain,
% 17.06/12.21 ($false),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29003, 28524])).
% 17.06/12.21 tff(29005,plain,(~(constB77 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.06/12.21 tff(29006,assumption,(constB69 = VarCurr!0), introduced(assumption)).
% 17.06/12.21 tff(29007,plain,
% 17.06/12.21 (v162(constB69) <=> v162(VarCurr!0)),
% 17.06/12.21 inference(monotonicity,[status(thm)],[29006])).
% 17.06/12.21 tff(29008,plain,
% 17.06/12.21 (v162(VarCurr!0) <=> v162(constB69)),
% 17.06/12.21 inference(symmetry,[status(thm)],[29007])).
% 17.06/12.21 tff(29009,plain,
% 17.06/12.21 (v162(constB69)),
% 17.06/12.21 inference(modus_ponens,[status(thm)],[59, 29008])).
% 17.06/12.21 tff(29010,plain,
% 17.06/12.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB68, constB69)) | (v162(constB69) <=> v160(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB68, constB69)) | (v162(constB69) <=> v160(constB68)))),
% 17.06/12.21 inference(rewrite,[status(thm)],[])).
% 17.06/12.21 tff(29011,plain,
% 17.06/12.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB68, constB69)) | (v162(constB69) <=> v160(constB68)))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29012,plain,
% 17.06/12.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB68, constB69)) | (v162(constB69) <=> v160(constB68))),
% 17.06/12.21 inference(modus_ponens,[status(thm)],[29011, 29010])).
% 17.06/12.21 tff(29013,plain,
% 17.06/12.21 (v162(constB69) <=> v160(constB68)),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29012, 7332, 70])).
% 17.06/12.21 tff(29014,plain,
% 17.06/12.21 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB68) <=> (v163(constB68) | v164(constB68)))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29015,plain,
% 17.06/12.21 (v160(constB68) <=> (v163(constB68) | v164(constB68))),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29014, 84])).
% 17.06/12.21 tff(29016,plain,
% 17.06/12.21 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB68) <=> (~((~v130(constB68)) | (~v155(constB68)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB68) <=> (~((~v130(constB68)) | (~v155(constB68))))))),
% 17.06/12.21 inference(rewrite,[status(thm)],[])).
% 17.06/12.21 tff(29017,plain,
% 17.06/12.21 ((v164(constB68) <=> (~((~v155(constB68)) | (~v130(constB68))))) <=> (v164(constB68) <=> (~((~v130(constB68)) | (~v155(constB68)))))),
% 17.06/12.21 inference(rewrite,[status(thm)],[])).
% 17.06/12.21 tff(29018,plain,
% 17.06/12.21 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB68) <=> (~((~v155(constB68)) | (~v130(constB68)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB68) <=> (~((~v130(constB68)) | (~v155(constB68))))))),
% 17.06/12.21 inference(monotonicity,[status(thm)],[29017])).
% 17.06/12.21 tff(29019,plain,
% 17.06/12.21 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB68) <=> (~((~v155(constB68)) | (~v130(constB68)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB68) <=> (~((~v130(constB68)) | (~v155(constB68))))))),
% 17.06/12.21 inference(transitivity,[status(thm)],[29018, 29016])).
% 17.06/12.21 tff(29020,plain,
% 17.06/12.21 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB68) <=> (~((~v155(constB68)) | (~v130(constB68)))))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29021,plain,
% 17.06/12.21 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB68) <=> (~((~v130(constB68)) | (~v155(constB68)))))),
% 17.06/12.21 inference(modus_ponens,[status(thm)],[29020, 29019])).
% 17.06/12.21 tff(29022,plain,
% 17.06/12.21 (v164(constB68) <=> (~((~v130(constB68)) | (~v155(constB68))))),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29021, 96])).
% 17.06/12.21 tff(29023,plain,
% 17.06/12.21 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB68) <=> (~((~v141(constB68)) | (~v143(constB68)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB68) <=> (~((~v141(constB68)) | (~v143(constB68))))))),
% 17.06/12.21 inference(rewrite,[status(thm)],[])).
% 17.06/12.21 tff(29024,plain,
% 17.06/12.21 ((v155(constB68) <=> (~((~v143(constB68)) | (~v141(constB68))))) <=> (v155(constB68) <=> (~((~v141(constB68)) | (~v143(constB68)))))),
% 17.06/12.21 inference(rewrite,[status(thm)],[])).
% 17.06/12.21 tff(29025,plain,
% 17.06/12.21 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB68) <=> (~((~v143(constB68)) | (~v141(constB68)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB68) <=> (~((~v141(constB68)) | (~v143(constB68))))))),
% 17.06/12.21 inference(monotonicity,[status(thm)],[29024])).
% 17.06/12.21 tff(29026,plain,
% 17.06/12.21 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB68) <=> (~((~v143(constB68)) | (~v141(constB68)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB68) <=> (~((~v141(constB68)) | (~v143(constB68))))))),
% 17.06/12.21 inference(transitivity,[status(thm)],[29025, 29023])).
% 17.06/12.21 tff(29027,plain,
% 17.06/12.21 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB68) <=> (~((~v143(constB68)) | (~v141(constB68)))))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29028,plain,
% 17.06/12.21 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB68) <=> (~((~v141(constB68)) | (~v143(constB68)))))),
% 17.06/12.21 inference(modus_ponens,[status(thm)],[29027, 29026])).
% 17.06/12.21 tff(29029,plain,
% 17.06/12.21 (v155(constB68) <=> (~((~v141(constB68)) | (~v143(constB68))))),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29028, 113])).
% 17.06/12.21 tff(29030,plain,
% 17.06/12.21 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB68) <=> (~((~v39(constB68)) | (~v9(constB68)))))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29031,plain,
% 17.06/12.21 (v141(constB68) <=> (~((~v39(constB68)) | (~v9(constB68))))),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29030, 130])).
% 17.06/12.21 tff(29032,plain,
% 17.06/12.21 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB68)) <=> v1(constB68))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29033,plain,
% 17.06/12.21 ((~v39(constB68)) <=> v1(constB68)),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29032, 139])).
% 17.06/12.21 tff(29034,plain,
% 17.06/12.21 ((~((~v39(constB68)) <=> v1(constB68))) | (~v39(constB68)) | (~v1(constB68))),
% 17.06/12.21 inference(tautology,[status(thm)],[])).
% 17.06/12.21 tff(29035,plain,
% 17.06/12.21 ((~((~v39(constB68)) <=> v1(constB68))) | (~v39(constB68))),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29034, 10112])).
% 17.06/12.21 tff(29036,plain,
% 17.06/12.21 (~v39(constB68)),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29035, 29033])).
% 17.06/12.21 tff(29037,plain,
% 17.06/12.21 (((~v39(constB68)) | (~v9(constB68))) | v39(constB68)),
% 17.06/12.21 inference(tautology,[status(thm)],[])).
% 17.06/12.21 tff(29038,plain,
% 17.06/12.21 ((~v39(constB68)) | (~v9(constB68))),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29037, 29036])).
% 17.06/12.21 tff(29039,plain,
% 17.06/12.21 ((~(v141(constB68) <=> (~((~v39(constB68)) | (~v9(constB68)))))) | (~v141(constB68)) | (~((~v39(constB68)) | (~v9(constB68))))),
% 17.06/12.21 inference(tautology,[status(thm)],[])).
% 17.06/12.21 tff(29040,plain,
% 17.06/12.21 ((~(v141(constB68) <=> (~((~v39(constB68)) | (~v9(constB68)))))) | (~v141(constB68))),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29039, 29038])).
% 17.06/12.21 tff(29041,plain,
% 17.06/12.21 (~v141(constB68)),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29040, 29031])).
% 17.06/12.21 tff(29042,plain,
% 17.06/12.21 (((~v141(constB68)) | (~v143(constB68))) | v141(constB68)),
% 17.06/12.21 inference(tautology,[status(thm)],[])).
% 17.06/12.21 tff(29043,plain,
% 17.06/12.21 ((~v141(constB68)) | (~v143(constB68))),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29042, 29041])).
% 17.06/12.21 tff(29044,plain,
% 17.06/12.21 ((~(v155(constB68) <=> (~((~v141(constB68)) | (~v143(constB68)))))) | (~v155(constB68)) | (~((~v141(constB68)) | (~v143(constB68))))),
% 17.06/12.21 inference(tautology,[status(thm)],[])).
% 17.06/12.21 tff(29045,plain,
% 17.06/12.21 ((~(v155(constB68) <=> (~((~v141(constB68)) | (~v143(constB68)))))) | (~v155(constB68))),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29044, 29043])).
% 17.06/12.21 tff(29046,plain,
% 17.06/12.21 (~v155(constB68)),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29045, 29029])).
% 17.06/12.21 tff(29047,plain,
% 17.06/12.21 (((~v130(constB68)) | (~v155(constB68))) | v155(constB68)),
% 17.06/12.21 inference(tautology,[status(thm)],[])).
% 17.06/12.21 tff(29048,plain,
% 17.06/12.21 ((~v130(constB68)) | (~v155(constB68))),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29047, 29046])).
% 17.06/12.21 tff(29049,plain,
% 17.06/12.21 ((~(v164(constB68) <=> (~((~v130(constB68)) | (~v155(constB68)))))) | (~v164(constB68)) | (~((~v130(constB68)) | (~v155(constB68))))),
% 17.06/12.21 inference(tautology,[status(thm)],[])).
% 17.06/12.21 tff(29050,plain,
% 17.06/12.21 (~v164(constB68)),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29049, 29048, 29022])).
% 17.06/12.21 tff(29051,plain,
% 17.06/12.21 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB68) <=> (~((~v128(constB68)) | (~v139(constB68)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB68) <=> (~((~v128(constB68)) | (~v139(constB68))))))),
% 17.06/12.21 inference(rewrite,[status(thm)],[])).
% 17.06/12.21 tff(29052,plain,
% 17.06/12.21 ((v163(constB68) <=> (~((~v139(constB68)) | (~v128(constB68))))) <=> (v163(constB68) <=> (~((~v128(constB68)) | (~v139(constB68)))))),
% 17.06/12.21 inference(rewrite,[status(thm)],[])).
% 17.06/12.21 tff(29053,plain,
% 17.06/12.21 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB68) <=> (~((~v139(constB68)) | (~v128(constB68)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB68) <=> (~((~v128(constB68)) | (~v139(constB68))))))),
% 17.06/12.21 inference(monotonicity,[status(thm)],[29052])).
% 17.06/12.21 tff(29054,plain,
% 17.06/12.21 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB68) <=> (~((~v139(constB68)) | (~v128(constB68)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB68) <=> (~((~v128(constB68)) | (~v139(constB68))))))),
% 17.06/12.21 inference(transitivity,[status(thm)],[29053, 29051])).
% 17.06/12.21 tff(29055,plain,
% 17.06/12.21 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB68) <=> (~((~v139(constB68)) | (~v128(constB68)))))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29056,plain,
% 17.06/12.21 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB68) <=> (~((~v128(constB68)) | (~v139(constB68)))))),
% 17.06/12.21 inference(modus_ponens,[status(thm)],[29055, 29054])).
% 17.06/12.21 tff(29057,plain,
% 17.06/12.21 (v163(constB68) <=> (~((~v128(constB68)) | (~v139(constB68))))),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29056, 171])).
% 17.06/12.21 tff(29058,plain,
% 17.06/12.21 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB68) <=> v162(constB68))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29059,plain,
% 17.06/12.21 (v128(constB68) <=> v162(constB68)),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29058, 13])).
% 17.06/12.21 tff(29060,plain,
% 17.06/12.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB67, constB68)) | (v162(constB68) <=> v160(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB67, constB68)) | (v162(constB68) <=> v160(constB67)))),
% 17.06/12.21 inference(rewrite,[status(thm)],[])).
% 17.06/12.21 tff(29061,plain,
% 17.06/12.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB67, constB68)) | (v162(constB68) <=> v160(constB67)))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29062,plain,
% 17.06/12.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB67, constB68)) | (v162(constB68) <=> v160(constB67))),
% 17.06/12.21 inference(modus_ponens,[status(thm)],[29061, 29060])).
% 17.06/12.21 tff(29063,plain,
% 17.06/12.21 (v162(constB68) <=> v160(constB67)),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29062, 7368, 70])).
% 17.06/12.21 tff(29064,plain,
% 17.06/12.21 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB67) <=> (v163(constB67) | v164(constB67)))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29065,plain,
% 17.06/12.21 (v160(constB67) <=> (v163(constB67) | v164(constB67))),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29064, 84])).
% 17.06/12.21 tff(29066,plain,
% 17.06/12.21 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB67) <=> (~((~v128(constB67)) | (~v139(constB67)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB67) <=> (~((~v128(constB67)) | (~v139(constB67))))))),
% 17.06/12.21 inference(rewrite,[status(thm)],[])).
% 17.06/12.21 tff(29067,plain,
% 17.06/12.21 ((v163(constB67) <=> (~((~v139(constB67)) | (~v128(constB67))))) <=> (v163(constB67) <=> (~((~v128(constB67)) | (~v139(constB67)))))),
% 17.06/12.21 inference(rewrite,[status(thm)],[])).
% 17.06/12.21 tff(29068,plain,
% 17.06/12.21 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB67) <=> (~((~v139(constB67)) | (~v128(constB67)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB67) <=> (~((~v128(constB67)) | (~v139(constB67))))))),
% 17.06/12.21 inference(monotonicity,[status(thm)],[29067])).
% 17.06/12.21 tff(29069,plain,
% 17.06/12.21 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB67) <=> (~((~v139(constB67)) | (~v128(constB67)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB67) <=> (~((~v128(constB67)) | (~v139(constB67))))))),
% 17.06/12.21 inference(transitivity,[status(thm)],[29068, 29066])).
% 17.06/12.21 tff(29070,plain,
% 17.06/12.21 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB67) <=> (~((~v139(constB67)) | (~v128(constB67)))))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29071,plain,
% 17.06/12.21 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB67) <=> (~((~v128(constB67)) | (~v139(constB67)))))),
% 17.06/12.21 inference(modus_ponens,[status(thm)],[29070, 29069])).
% 17.06/12.21 tff(29072,plain,
% 17.06/12.21 (v163(constB67) <=> (~((~v128(constB67)) | (~v139(constB67))))),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29071, 171])).
% 17.06/12.21 tff(29073,plain,
% 17.06/12.21 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB67)) <=> v140(constB67))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29074,plain,
% 17.06/12.21 ((~v139(constB67)) <=> v140(constB67)),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29073, 203])).
% 17.06/12.21 tff(29075,plain,
% 17.06/12.21 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB67) <=> (v141(constB67) | v26(constB67)))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29076,plain,
% 17.06/12.21 (v140(constB67) <=> (v141(constB67) | v26(constB67))),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29075, 212])).
% 17.06/12.21 tff(29077,plain,
% 17.06/12.21 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB67) <=> (~((~v39(constB67)) | (~v9(constB67)))))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29078,plain,
% 17.06/12.21 (v141(constB67) <=> (~((~v39(constB67)) | (~v9(constB67))))),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29077, 130])).
% 17.06/12.21 tff(29079,plain,
% 17.06/12.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB67, constB68)) | (v13(constB68) <=> v9(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB67, constB68)) | (v13(constB68) <=> v9(constB67)))),
% 17.06/12.21 inference(rewrite,[status(thm)],[])).
% 17.06/12.21 tff(29080,plain,
% 17.06/12.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB67, constB68)) | (v13(constB68) <=> v9(constB67)))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29081,plain,
% 17.06/12.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB67, constB68)) | (v13(constB68) <=> v9(constB67))),
% 17.06/12.21 inference(modus_ponens,[status(thm)],[29080, 29079])).
% 17.06/12.21 tff(29082,plain,
% 17.06/12.21 (v13(constB68) <=> v9(constB67)),
% 17.06/12.21 inference(unit_resolution,[status(thm)],[29081, 7368, 226])).
% 17.06/12.21 tff(29083,plain,
% 17.06/12.21 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB68) <=> v13(constB68))),
% 17.06/12.21 inference(quant_inst,[status(thm)],[])).
% 17.06/12.21 tff(29084,plain,
% 17.06/12.21 (v6(constB68) <=> v13(constB68)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29083, 240])).
% 17.06/12.22 tff(29085,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB68)) <=> v6(constB68))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29086,plain,
% 17.06/12.22 ((~v21(constB68)) <=> v6(constB68)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29085, 249])).
% 17.06/12.22 tff(29087,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB68) <=> (v20(constB68) | v21(constB68)))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29088,plain,
% 17.06/12.22 (v19(constB68) <=> (v20(constB68) | v21(constB68))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29087, 258])).
% 17.06/12.22 tff(29089,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB68) <=> (~((~v19(constB68)) | (~v22(constB68)))))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29090,plain,
% 17.06/12.22 (v18(constB68) <=> (~((~v19(constB68)) | (~v22(constB68))))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29089, 270])).
% 17.06/12.22 tff(29091,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB68)) <=> v18(constB68))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29092,plain,
% 17.06/12.22 ((~v4(constB68)) <=> v18(constB68)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29091, 279])).
% 17.06/12.22 tff(29093,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB68)),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29094,plain,
% 17.06/12.22 (v4(constB68)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29093, 288])).
% 17.06/12.22 tff(29095,plain,
% 17.06/12.22 ((~((~v4(constB68)) <=> v18(constB68))) | (~v4(constB68)) | (~v18(constB68))),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29096,plain,
% 17.06/12.22 (~v18(constB68)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29095, 29094, 29092])).
% 17.06/12.22 tff(29097,plain,
% 17.06/12.22 ((~(v18(constB68) <=> (~((~v19(constB68)) | (~v22(constB68)))))) | v18(constB68) | ((~v19(constB68)) | (~v22(constB68)))),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29098,plain,
% 17.06/12.22 ((~v19(constB68)) | (~v22(constB68))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29097, 29096, 29090])).
% 17.06/12.22 tff(29099,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB68) <=> (v1(constB68) | v6(constB68)))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29100,plain,
% 17.06/12.22 (v22(constB68) <=> (v1(constB68) | v6(constB68))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29099, 301])).
% 17.06/12.22 tff(29101,plain,
% 17.06/12.22 ((v1(constB68) | v6(constB68)) | (~v1(constB68))),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29102,plain,
% 17.06/12.22 (v1(constB68) | v6(constB68)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29101, 10112])).
% 17.06/12.22 tff(29103,plain,
% 17.06/12.22 ((~(v22(constB68) <=> (v1(constB68) | v6(constB68)))) | v22(constB68) | (~(v1(constB68) | v6(constB68)))),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29104,plain,
% 17.06/12.22 ((~(v22(constB68) <=> (v1(constB68) | v6(constB68)))) | v22(constB68)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29103, 29102])).
% 17.06/12.22 tff(29105,plain,
% 17.06/12.22 (v22(constB68)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29104, 29100])).
% 17.06/12.22 tff(29106,plain,
% 17.06/12.22 ((~((~v19(constB68)) | (~v22(constB68)))) | (~v19(constB68)) | (~v22(constB68))),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29107,plain,
% 17.06/12.22 ((~((~v19(constB68)) | (~v22(constB68)))) | (~v19(constB68))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29106, 29105])).
% 17.06/12.22 tff(29108,plain,
% 17.06/12.22 (~v19(constB68)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29107, 29098])).
% 17.06/12.22 tff(29109,plain,
% 17.06/12.22 ((~(v19(constB68) <=> (v20(constB68) | v21(constB68)))) | v19(constB68) | (~(v20(constB68) | v21(constB68)))),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29110,plain,
% 17.06/12.22 (~(v20(constB68) | v21(constB68))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29109, 29108, 29088])).
% 17.06/12.22 tff(29111,plain,
% 17.06/12.22 ((v20(constB68) | v21(constB68)) | (~v21(constB68))),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29112,plain,
% 17.06/12.22 (~v21(constB68)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29111, 29110])).
% 17.06/12.22 tff(29113,plain,
% 17.06/12.22 ((~((~v21(constB68)) <=> v6(constB68))) | v21(constB68) | v6(constB68)),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29114,plain,
% 17.06/12.22 (v6(constB68)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29113, 29112, 29086])).
% 17.06/12.22 tff(29115,plain,
% 17.06/12.22 ((~(v6(constB68) <=> v13(constB68))) | (~v6(constB68)) | v13(constB68)),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29116,plain,
% 17.06/12.22 (v13(constB68)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29115, 29114, 29084])).
% 17.06/12.22 tff(29117,plain,
% 17.06/12.22 ((~(v13(constB68) <=> v9(constB67))) | (~v13(constB68)) | v9(constB67)),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29118,plain,
% 17.06/12.22 (v9(constB67)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29117, 29116, 29082])).
% 17.06/12.22 tff(29119,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB67)) <=> v1(constB67))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29120,plain,
% 17.06/12.22 ((~v39(constB67)) <=> v1(constB67)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29119, 139])).
% 17.06/12.22 tff(29121,plain,
% 17.06/12.22 ((~((~v39(constB67)) <=> v1(constB67))) | v39(constB67) | v1(constB67)),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29122,plain,
% 17.06/12.22 ((~((~v39(constB67)) <=> v1(constB67))) | v39(constB67)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29121, 7407])).
% 17.06/12.22 tff(29123,plain,
% 17.06/12.22 (v39(constB67)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29122, 29120])).
% 17.06/12.22 tff(29124,plain,
% 17.06/12.22 ((~((~v39(constB67)) | (~v9(constB67)))) | (~v39(constB67)) | (~v9(constB67))),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29125,plain,
% 17.06/12.22 ((~((~v39(constB67)) | (~v9(constB67)))) | (~v9(constB67))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29124, 29123])).
% 17.06/12.22 tff(29126,plain,
% 17.06/12.22 (~((~v39(constB67)) | (~v9(constB67)))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29125, 29118])).
% 17.06/12.22 tff(29127,plain,
% 17.06/12.22 ((~(v141(constB67) <=> (~((~v39(constB67)) | (~v9(constB67)))))) | v141(constB67) | ((~v39(constB67)) | (~v9(constB67)))),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29128,plain,
% 17.06/12.22 (v141(constB67)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29127, 29126, 29078])).
% 17.06/12.22 tff(29129,plain,
% 17.06/12.22 ((v141(constB67) | v26(constB67)) | (~v141(constB67))),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29130,plain,
% 17.06/12.22 (v141(constB67) | v26(constB67)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29129, 29128])).
% 17.06/12.22 tff(29131,plain,
% 17.06/12.22 ((~(v140(constB67) <=> (v141(constB67) | v26(constB67)))) | v140(constB67) | (~(v141(constB67) | v26(constB67)))),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29132,plain,
% 17.06/12.22 (v140(constB67)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29131, 29130, 29076])).
% 17.06/12.22 tff(29133,plain,
% 17.06/12.22 ((~((~v139(constB67)) <=> v140(constB67))) | (~v139(constB67)) | (~v140(constB67))),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29134,plain,
% 17.06/12.22 (~v139(constB67)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29133, 29132, 29074])).
% 17.06/12.22 tff(29135,plain,
% 17.06/12.22 (((~v128(constB67)) | (~v139(constB67))) | v139(constB67)),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29136,plain,
% 17.06/12.22 ((~v128(constB67)) | (~v139(constB67))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29135, 29134])).
% 17.06/12.22 tff(29137,plain,
% 17.06/12.22 ((~(v163(constB67) <=> (~((~v128(constB67)) | (~v139(constB67)))))) | (~v163(constB67)) | (~((~v128(constB67)) | (~v139(constB67))))),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29138,plain,
% 17.06/12.22 (~v163(constB67)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29137, 29136, 29072])).
% 17.06/12.22 tff(29139,plain,
% 17.06/12.22 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB67) <=> (~((~v130(constB67)) | (~v155(constB67)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB67) <=> (~((~v130(constB67)) | (~v155(constB67))))))),
% 17.06/12.22 inference(rewrite,[status(thm)],[])).
% 17.06/12.22 tff(29140,plain,
% 17.06/12.22 ((v164(constB67) <=> (~((~v155(constB67)) | (~v130(constB67))))) <=> (v164(constB67) <=> (~((~v130(constB67)) | (~v155(constB67)))))),
% 17.06/12.22 inference(rewrite,[status(thm)],[])).
% 17.06/12.22 tff(29141,plain,
% 17.06/12.22 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB67) <=> (~((~v155(constB67)) | (~v130(constB67)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB67) <=> (~((~v130(constB67)) | (~v155(constB67))))))),
% 17.06/12.22 inference(monotonicity,[status(thm)],[29140])).
% 17.06/12.22 tff(29142,plain,
% 17.06/12.22 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB67) <=> (~((~v155(constB67)) | (~v130(constB67)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB67) <=> (~((~v130(constB67)) | (~v155(constB67))))))),
% 17.06/12.22 inference(transitivity,[status(thm)],[29141, 29139])).
% 17.06/12.22 tff(29143,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB67) <=> (~((~v155(constB67)) | (~v130(constB67)))))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29144,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB67) <=> (~((~v130(constB67)) | (~v155(constB67)))))),
% 17.06/12.22 inference(modus_ponens,[status(thm)],[29143, 29142])).
% 17.06/12.22 tff(29145,plain,
% 17.06/12.22 (v164(constB67) <=> (~((~v130(constB67)) | (~v155(constB67))))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29144, 96])).
% 17.06/12.22 tff(29146,plain,
% 17.06/12.22 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB67) <=> v152(constB67))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29147,plain,
% 17.06/12.22 (v130(constB67) <=> v152(constB67)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29146, 361])).
% 17.06/12.22 tff(29148,plain,
% 17.06/12.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB66, constB67)) | (v152(constB67) <=> v150(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB66, constB67)) | (v152(constB67) <=> v150(constB66)))),
% 17.06/12.22 inference(rewrite,[status(thm)],[])).
% 17.06/12.22 tff(29149,plain,
% 17.06/12.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB66, constB67)) | (v152(constB67) <=> v150(constB66)))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29150,plain,
% 17.06/12.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB66, constB67)) | (v152(constB67) <=> v150(constB66))),
% 17.06/12.22 inference(modus_ponens,[status(thm)],[29149, 29148])).
% 17.06/12.22 tff(29151,plain,
% 17.06/12.22 (v152(constB67) <=> v150(constB66)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29150, 7393, 373])).
% 17.06/12.22 tff(29152,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB66) <=> (v153(constB66) | v154(constB66)))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29153,plain,
% 17.06/12.22 (v150(constB66) <=> (v153(constB66) | v154(constB66))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29152, 387])).
% 17.06/12.22 tff(29154,plain,
% 17.06/12.22 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB66) <=> (~((~v132(constB66)) | (~v155(constB66)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB66) <=> (~((~v132(constB66)) | (~v155(constB66))))))),
% 17.06/12.22 inference(rewrite,[status(thm)],[])).
% 17.06/12.22 tff(29155,plain,
% 17.06/12.22 ((v154(constB66) <=> (~((~v155(constB66)) | (~v132(constB66))))) <=> (v154(constB66) <=> (~((~v132(constB66)) | (~v155(constB66)))))),
% 17.06/12.22 inference(rewrite,[status(thm)],[])).
% 17.06/12.22 tff(29156,plain,
% 17.06/12.22 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB66) <=> (~((~v155(constB66)) | (~v132(constB66)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB66) <=> (~((~v132(constB66)) | (~v155(constB66))))))),
% 17.06/12.22 inference(monotonicity,[status(thm)],[29155])).
% 17.06/12.22 tff(29157,plain,
% 17.06/12.22 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB66) <=> (~((~v155(constB66)) | (~v132(constB66)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB66) <=> (~((~v132(constB66)) | (~v155(constB66))))))),
% 17.06/12.22 inference(transitivity,[status(thm)],[29156, 29154])).
% 17.06/12.22 tff(29158,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB66) <=> (~((~v155(constB66)) | (~v132(constB66)))))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29159,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB66) <=> (~((~v132(constB66)) | (~v155(constB66)))))),
% 17.06/12.22 inference(modus_ponens,[status(thm)],[29158, 29157])).
% 17.06/12.22 tff(29160,plain,
% 17.06/12.22 (v154(constB66) <=> (~((~v132(constB66)) | (~v155(constB66))))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29159, 399])).
% 17.06/12.22 tff(29161,plain,
% 17.06/12.22 (((~v132(constB66)) | (~v155(constB66))) | v155(constB66)),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29162,plain,
% 17.06/12.22 ((~v132(constB66)) | (~v155(constB66))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29161, 26456])).
% 17.06/12.22 tff(29163,plain,
% 17.06/12.22 ((~(v154(constB66) <=> (~((~v132(constB66)) | (~v155(constB66)))))) | (~v154(constB66)) | (~((~v132(constB66)) | (~v155(constB66))))),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29164,plain,
% 17.06/12.22 (~v154(constB66)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29163, 29162, 29160])).
% 17.06/12.22 tff(29165,plain,
% 17.06/12.22 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB66) <=> (~((~v130(constB66)) | (~v139(constB66)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB66) <=> (~((~v130(constB66)) | (~v139(constB66))))))),
% 17.06/12.22 inference(rewrite,[status(thm)],[])).
% 17.06/12.22 tff(29166,plain,
% 17.06/12.22 ((v153(constB66) <=> (~((~v139(constB66)) | (~v130(constB66))))) <=> (v153(constB66) <=> (~((~v130(constB66)) | (~v139(constB66)))))),
% 17.06/12.22 inference(rewrite,[status(thm)],[])).
% 17.06/12.22 tff(29167,plain,
% 17.06/12.22 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB66) <=> (~((~v139(constB66)) | (~v130(constB66)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB66) <=> (~((~v130(constB66)) | (~v139(constB66))))))),
% 17.06/12.22 inference(monotonicity,[status(thm)],[29166])).
% 17.06/12.22 tff(29168,plain,
% 17.06/12.22 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB66) <=> (~((~v139(constB66)) | (~v130(constB66)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB66) <=> (~((~v130(constB66)) | (~v139(constB66))))))),
% 17.06/12.22 inference(transitivity,[status(thm)],[29167, 29165])).
% 17.06/12.22 tff(29169,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB66) <=> (~((~v139(constB66)) | (~v130(constB66)))))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29170,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB66) <=> (~((~v130(constB66)) | (~v139(constB66)))))),
% 17.06/12.22 inference(modus_ponens,[status(thm)],[29169, 29168])).
% 17.06/12.22 tff(29171,plain,
% 17.06/12.22 (v153(constB66) <=> (~((~v130(constB66)) | (~v139(constB66))))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29170, 447])).
% 17.06/12.22 tff(29172,plain,
% 17.06/12.22 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB66) <=> v152(constB66))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29173,plain,
% 17.06/12.22 (v130(constB66) <=> v152(constB66)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29172, 361])).
% 17.06/12.22 tff(29174,plain,
% 17.06/12.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB65, constB66)) | (v152(constB66) <=> v150(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB65, constB66)) | (v152(constB66) <=> v150(constB65)))),
% 17.06/12.22 inference(rewrite,[status(thm)],[])).
% 17.06/12.22 tff(29175,plain,
% 17.06/12.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB65, constB66)) | (v152(constB66) <=> v150(constB65)))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29176,plain,
% 17.06/12.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB65, constB66)) | (v152(constB66) <=> v150(constB65))),
% 17.06/12.22 inference(modus_ponens,[status(thm)],[29175, 29174])).
% 17.06/12.22 tff(29177,plain,
% 17.06/12.22 (v152(constB66) <=> v150(constB65)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29176, 7429, 373])).
% 17.06/12.22 tff(29178,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB65) <=> (v153(constB65) | v154(constB65)))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29179,plain,
% 17.06/12.22 (v150(constB65) <=> (v153(constB65) | v154(constB65))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29178, 387])).
% 17.06/12.22 tff(29180,plain,
% 17.06/12.22 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB65) <=> (~((~v130(constB65)) | (~v139(constB65)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB65) <=> (~((~v130(constB65)) | (~v139(constB65))))))),
% 17.06/12.22 inference(rewrite,[status(thm)],[])).
% 17.06/12.22 tff(29181,plain,
% 17.06/12.22 ((v153(constB65) <=> (~((~v139(constB65)) | (~v130(constB65))))) <=> (v153(constB65) <=> (~((~v130(constB65)) | (~v139(constB65)))))),
% 17.06/12.22 inference(rewrite,[status(thm)],[])).
% 17.06/12.22 tff(29182,plain,
% 17.06/12.22 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB65) <=> (~((~v139(constB65)) | (~v130(constB65)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB65) <=> (~((~v130(constB65)) | (~v139(constB65))))))),
% 17.06/12.22 inference(monotonicity,[status(thm)],[29181])).
% 17.06/12.22 tff(29183,plain,
% 17.06/12.22 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB65) <=> (~((~v139(constB65)) | (~v130(constB65)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB65) <=> (~((~v130(constB65)) | (~v139(constB65))))))),
% 17.06/12.22 inference(transitivity,[status(thm)],[29182, 29180])).
% 17.06/12.22 tff(29184,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB65) <=> (~((~v139(constB65)) | (~v130(constB65)))))),
% 17.06/12.22 inference(quant_inst,[status(thm)],[])).
% 17.06/12.22 tff(29185,plain,
% 17.06/12.22 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB65) <=> (~((~v130(constB65)) | (~v139(constB65)))))),
% 17.06/12.22 inference(modus_ponens,[status(thm)],[29184, 29183])).
% 17.06/12.22 tff(29186,plain,
% 17.06/12.22 (v153(constB65) <=> (~((~v130(constB65)) | (~v139(constB65))))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29185, 447])).
% 17.06/12.22 tff(29187,plain,
% 17.06/12.22 (((~v130(constB65)) | (~v139(constB65))) | v139(constB65)),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29188,plain,
% 17.06/12.22 ((~v130(constB65)) | (~v139(constB65))),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29187, 26544])).
% 17.06/12.22 tff(29189,plain,
% 17.06/12.22 ((~(v153(constB65) <=> (~((~v130(constB65)) | (~v139(constB65)))))) | (~v153(constB65)) | (~((~v130(constB65)) | (~v139(constB65))))),
% 17.06/12.22 inference(tautology,[status(thm)],[])).
% 17.06/12.22 tff(29190,plain,
% 17.06/12.22 (~v153(constB65)),
% 17.06/12.22 inference(unit_resolution,[status(thm)],[29189, 29188, 29186])).
% 17.06/12.22 tff(29191,plain,
% 17.06/12.22 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB65) <=> (~((~v132(constB65)) | (~v155(constB65)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB65) <=> (~((~v132(constB65)) | (~v155(constB65))))))),
% 17.06/12.22 inference(rewrite,[status(thm)],[])).
% 17.06/12.22 tff(29192,plain,
% 17.06/12.22 ((v154(constB65) <=> (~((~v155(constB65)) | (~v132(constB65))))) <=> (v154(constB65) <=> (~((~v132(constB65)) | (~v155(constB65)))))),
% 17.06/12.23 inference(rewrite,[status(thm)],[])).
% 17.06/12.23 tff(29193,plain,
% 17.06/12.23 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB65) <=> (~((~v155(constB65)) | (~v132(constB65)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB65) <=> (~((~v132(constB65)) | (~v155(constB65))))))),
% 17.06/12.23 inference(monotonicity,[status(thm)],[29192])).
% 17.06/12.23 tff(29194,plain,
% 17.06/12.23 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB65) <=> (~((~v155(constB65)) | (~v132(constB65)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB65) <=> (~((~v132(constB65)) | (~v155(constB65))))))),
% 17.06/12.23 inference(transitivity,[status(thm)],[29193, 29191])).
% 17.06/12.23 tff(29195,plain,
% 17.06/12.23 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB65) <=> (~((~v155(constB65)) | (~v132(constB65)))))),
% 17.06/12.23 inference(quant_inst,[status(thm)],[])).
% 17.06/12.23 tff(29196,plain,
% 17.06/12.23 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB65) <=> (~((~v132(constB65)) | (~v155(constB65)))))),
% 17.06/12.23 inference(modus_ponens,[status(thm)],[29195, 29194])).
% 17.06/12.23 tff(29197,plain,
% 17.06/12.23 (v154(constB65) <=> (~((~v132(constB65)) | (~v155(constB65))))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29196, 399])).
% 17.06/12.23 tff(29198,plain,
% 17.06/12.23 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB65) <=> v137(constB65))),
% 17.06/12.23 inference(quant_inst,[status(thm)],[])).
% 17.06/12.23 tff(29199,plain,
% 17.06/12.23 (v132(constB65) <=> v137(constB65)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29198, 558])).
% 17.06/12.23 tff(29200,plain,
% 17.06/12.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB64, constB65)) | (v137(constB65) <=> v135(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB64, constB65)) | (v137(constB65) <=> v135(constB64)))),
% 17.06/12.23 inference(rewrite,[status(thm)],[])).
% 17.06/12.23 tff(29201,plain,
% 17.06/12.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB64, constB65)) | (v137(constB65) <=> v135(constB64)))),
% 17.06/12.23 inference(quant_inst,[status(thm)],[])).
% 17.06/12.23 tff(29202,plain,
% 17.06/12.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB64, constB65)) | (v137(constB65) <=> v135(constB64))),
% 17.06/12.23 inference(modus_ponens,[status(thm)],[29201, 29200])).
% 17.06/12.23 tff(29203,plain,
% 17.06/12.23 (v137(constB65) <=> v135(constB64)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29202, 7454, 570])).
% 17.06/12.23 tff(29204,plain,
% 17.06/12.23 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB64) <=> (v138(constB64) | v142(constB64)))),
% 17.06/12.23 inference(quant_inst,[status(thm)],[])).
% 17.06/12.23 tff(29205,plain,
% 17.06/12.23 (v135(constB64) <=> (v138(constB64) | v142(constB64))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29204, 584])).
% 17.06/12.23 tff(29206,plain,
% 17.06/12.23 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB64) <=> (~((~v143(constB64)) | (~v144(constB64)))))),
% 17.06/12.23 inference(quant_inst,[status(thm)],[])).
% 17.06/12.23 tff(29207,plain,
% 17.06/12.23 (v142(constB64) <=> (~((~v143(constB64)) | (~v144(constB64))))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29206, 596])).
% 17.06/12.23 tff(29208,plain,
% 17.06/12.23 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB64) <=> (~((~v141(constB64)) | (~v145(constB64)))))),
% 17.06/12.23 inference(quant_inst,[status(thm)],[])).
% 17.06/12.23 tff(29209,plain,
% 17.06/12.23 (v144(constB64) <=> (~((~v141(constB64)) | (~v145(constB64))))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29208, 608])).
% 17.06/12.23 tff(29210,plain,
% 17.06/12.23 (((~v141(constB64)) | (~v145(constB64))) | v141(constB64)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29211,plain,
% 17.06/12.23 ((~v141(constB64)) | (~v145(constB64))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29210, 26589])).
% 17.06/12.23 tff(29212,plain,
% 17.06/12.23 ((~(v144(constB64) <=> (~((~v141(constB64)) | (~v145(constB64)))))) | (~v144(constB64)) | (~((~v141(constB64)) | (~v145(constB64))))),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29213,plain,
% 17.06/12.23 ((~(v144(constB64) <=> (~((~v141(constB64)) | (~v145(constB64)))))) | (~v144(constB64))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29212, 29211])).
% 17.06/12.23 tff(29214,plain,
% 17.06/12.23 (~v144(constB64)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29213, 29209])).
% 17.06/12.23 tff(29215,plain,
% 17.06/12.23 (((~v143(constB64)) | (~v144(constB64))) | v144(constB64)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29216,plain,
% 17.06/12.23 ((~v143(constB64)) | (~v144(constB64))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29215, 29214])).
% 17.06/12.23 tff(29217,plain,
% 17.06/12.23 ((~(v142(constB64) <=> (~((~v143(constB64)) | (~v144(constB64)))))) | (~v142(constB64)) | (~((~v143(constB64)) | (~v144(constB64))))),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29218,plain,
% 17.06/12.23 (~v142(constB64)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29217, 29216, 29207])).
% 17.06/12.23 tff(29219,plain,
% 17.06/12.23 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB64) <=> (~((~v132(constB64)) | (~v139(constB64)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB64) <=> (~((~v132(constB64)) | (~v139(constB64))))))),
% 17.06/12.23 inference(rewrite,[status(thm)],[])).
% 17.06/12.23 tff(29220,plain,
% 17.06/12.23 ((v138(constB64) <=> (~((~v139(constB64)) | (~v132(constB64))))) <=> (v138(constB64) <=> (~((~v132(constB64)) | (~v139(constB64)))))),
% 17.06/12.23 inference(rewrite,[status(thm)],[])).
% 17.06/12.23 tff(29221,plain,
% 17.06/12.23 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB64) <=> (~((~v139(constB64)) | (~v132(constB64)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB64) <=> (~((~v132(constB64)) | (~v139(constB64))))))),
% 17.06/12.23 inference(monotonicity,[status(thm)],[29220])).
% 17.06/12.23 tff(29222,plain,
% 17.06/12.23 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB64) <=> (~((~v139(constB64)) | (~v132(constB64)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB64) <=> (~((~v132(constB64)) | (~v139(constB64))))))),
% 17.06/12.23 inference(transitivity,[status(thm)],[29221, 29219])).
% 17.06/12.23 tff(29223,plain,
% 17.06/12.23 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB64) <=> (~((~v139(constB64)) | (~v132(constB64)))))),
% 17.06/12.23 inference(quant_inst,[status(thm)],[])).
% 17.06/12.23 tff(29224,plain,
% 17.06/12.23 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB64) <=> (~((~v132(constB64)) | (~v139(constB64)))))),
% 17.06/12.23 inference(modus_ponens,[status(thm)],[29223, 29222])).
% 17.06/12.23 tff(29225,plain,
% 17.06/12.23 (v138(constB64) <=> (~((~v132(constB64)) | (~v139(constB64))))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29224, 644])).
% 17.06/12.23 tff(29226,plain,
% 17.06/12.23 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB64) <=> v137(constB64))),
% 17.06/12.23 inference(quant_inst,[status(thm)],[])).
% 17.06/12.23 tff(29227,plain,
% 17.06/12.23 (v132(constB64) <=> v137(constB64)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29226, 558])).
% 17.06/12.23 tff(29228,plain,
% 17.06/12.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB63, constB64)) | (v137(constB64) <=> v135(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB63, constB64)) | (v137(constB64) <=> v135(constB63)))),
% 17.06/12.23 inference(rewrite,[status(thm)],[])).
% 17.06/12.23 tff(29229,plain,
% 17.06/12.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB63, constB64)) | (v137(constB64) <=> v135(constB63)))),
% 17.06/12.23 inference(quant_inst,[status(thm)],[])).
% 17.06/12.23 tff(29230,plain,
% 17.06/12.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB63, constB64)) | (v137(constB64) <=> v135(constB63))),
% 17.06/12.23 inference(modus_ponens,[status(thm)],[29229, 29228])).
% 17.06/12.23 tff(29231,plain,
% 17.06/12.23 (v137(constB64) <=> v135(constB63)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29230, 7490, 570])).
% 17.06/12.23 tff(29232,plain,
% 17.06/12.23 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB63) <=> (v138(constB63) | v142(constB63)))),
% 17.06/12.23 inference(quant_inst,[status(thm)],[])).
% 17.06/12.23 tff(29233,plain,
% 17.06/12.23 (v135(constB63) <=> (v138(constB63) | v142(constB63))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29232, 584])).
% 17.06/12.23 tff(29234,plain,
% 17.06/12.23 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB63) <=> (~((~v132(constB63)) | (~v139(constB63)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB63) <=> (~((~v132(constB63)) | (~v139(constB63))))))),
% 17.06/12.23 inference(rewrite,[status(thm)],[])).
% 17.06/12.23 tff(29235,plain,
% 17.06/12.23 ((v138(constB63) <=> (~((~v139(constB63)) | (~v132(constB63))))) <=> (v138(constB63) <=> (~((~v132(constB63)) | (~v139(constB63)))))),
% 17.06/12.23 inference(rewrite,[status(thm)],[])).
% 17.06/12.23 tff(29236,plain,
% 17.06/12.23 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB63) <=> (~((~v139(constB63)) | (~v132(constB63)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB63) <=> (~((~v132(constB63)) | (~v139(constB63))))))),
% 17.06/12.23 inference(monotonicity,[status(thm)],[29235])).
% 17.06/12.23 tff(29237,plain,
% 17.06/12.23 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB63) <=> (~((~v139(constB63)) | (~v132(constB63)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB63) <=> (~((~v132(constB63)) | (~v139(constB63))))))),
% 17.06/12.23 inference(transitivity,[status(thm)],[29236, 29234])).
% 17.06/12.23 tff(29238,plain,
% 17.06/12.23 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB63) <=> (~((~v139(constB63)) | (~v132(constB63)))))),
% 17.06/12.23 inference(quant_inst,[status(thm)],[])).
% 17.06/12.23 tff(29239,plain,
% 17.06/12.23 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB63) <=> (~((~v132(constB63)) | (~v139(constB63)))))),
% 17.06/12.23 inference(modus_ponens,[status(thm)],[29238, 29237])).
% 17.06/12.23 tff(29240,plain,
% 17.06/12.23 (v138(constB63) <=> (~((~v132(constB63)) | (~v139(constB63))))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29239, 644])).
% 17.06/12.23 tff(29241,plain,
% 17.06/12.23 (((~v132(constB63)) | (~v139(constB63))) | v139(constB63)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29242,plain,
% 17.06/12.23 ((~v132(constB63)) | (~v139(constB63))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29241, 26682])).
% 17.06/12.23 tff(29243,plain,
% 17.06/12.23 ((~(v138(constB63) <=> (~((~v132(constB63)) | (~v139(constB63)))))) | (~v138(constB63)) | (~((~v132(constB63)) | (~v139(constB63))))),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29244,plain,
% 17.06/12.23 (~v138(constB63)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29243, 29242, 29240])).
% 17.06/12.23 tff(29245,plain,
% 17.06/12.23 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB63) <=> (~((~v143(constB63)) | (~v144(constB63)))))),
% 17.06/12.23 inference(quant_inst,[status(thm)],[])).
% 17.06/12.23 tff(29246,plain,
% 17.06/12.23 (v142(constB63) <=> (~((~v143(constB63)) | (~v144(constB63))))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29245, 596])).
% 17.06/12.23 tff(29247,plain,
% 17.06/12.23 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB63) <=> (~((~v141(constB63)) | (~v145(constB63)))))),
% 17.06/12.23 inference(quant_inst,[status(thm)],[])).
% 17.06/12.23 tff(29248,plain,
% 17.06/12.23 (v144(constB63) <=> (~((~v141(constB63)) | (~v145(constB63))))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29247, 608])).
% 17.06/12.23 tff(29249,plain,
% 17.06/12.23 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0)))))),
% 17.06/12.23 inference(quant_inst,[status(thm)],[])).
% 17.06/12.23 tff(29250,plain,
% 17.06/12.23 (v145(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29249, 755])).
% 17.06/12.23 tff(29251,plain,
% 17.06/12.23 ((v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))) | v84(constB63, 0)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29252,plain,
% 17.06/12.23 (v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29251, 9721])).
% 17.06/12.23 tff(29253,plain,
% 17.06/12.23 ((~(v145(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0)))))) | (~v145(constB63)) | (~(v84(constB63, 1) | v84(constB63, 2) | (~v84(constB63, 0))))),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29254,plain,
% 17.06/12.23 (~v145(constB63)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29253, 29252, 29250])).
% 17.06/12.23 tff(29255,plain,
% 17.06/12.23 (((~v141(constB63)) | (~v145(constB63))) | v145(constB63)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29256,plain,
% 17.06/12.23 ((~v141(constB63)) | (~v145(constB63))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29255, 29254])).
% 17.06/12.23 tff(29257,plain,
% 17.06/12.23 ((~(v144(constB63) <=> (~((~v141(constB63)) | (~v145(constB63)))))) | (~v144(constB63)) | (~((~v141(constB63)) | (~v145(constB63))))),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29258,plain,
% 17.06/12.23 (~v144(constB63)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29257, 29256, 29248])).
% 17.06/12.23 tff(29259,plain,
% 17.06/12.23 (((~v143(constB63)) | (~v144(constB63))) | v144(constB63)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29260,plain,
% 17.06/12.23 ((~v143(constB63)) | (~v144(constB63))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29259, 29258])).
% 17.06/12.23 tff(29261,plain,
% 17.06/12.23 ((~(v142(constB63) <=> (~((~v143(constB63)) | (~v144(constB63)))))) | (~v142(constB63)) | (~((~v143(constB63)) | (~v144(constB63))))),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29262,plain,
% 17.06/12.23 (~v142(constB63)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29261, 29260, 29246])).
% 17.06/12.23 tff(29263,plain,
% 17.06/12.23 ((~(v138(constB63) | v142(constB63))) | v138(constB63) | v142(constB63)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29264,plain,
% 17.06/12.23 (~(v138(constB63) | v142(constB63))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29263, 29262, 29244])).
% 17.06/12.23 tff(29265,plain,
% 17.06/12.23 ((~(v135(constB63) <=> (v138(constB63) | v142(constB63)))) | (~v135(constB63)) | (v138(constB63) | v142(constB63))),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29266,plain,
% 17.06/12.23 (~v135(constB63)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29265, 29264, 29233])).
% 17.06/12.23 tff(29267,plain,
% 17.06/12.23 ((~(v137(constB64) <=> v135(constB63))) | (~v137(constB64)) | v135(constB63)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29268,plain,
% 17.06/12.23 (~v137(constB64)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29267, 29266, 29231])).
% 17.06/12.23 tff(29269,plain,
% 17.06/12.23 ((~(v132(constB64) <=> v137(constB64))) | (~v132(constB64)) | v137(constB64)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29270,plain,
% 17.06/12.23 (~v132(constB64)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29269, 29268, 29227])).
% 17.06/12.23 tff(29271,plain,
% 17.06/12.23 (((~v132(constB64)) | (~v139(constB64))) | v132(constB64)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29272,plain,
% 17.06/12.23 ((~v132(constB64)) | (~v139(constB64))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29271, 29270])).
% 17.06/12.23 tff(29273,plain,
% 17.06/12.23 ((~(v138(constB64) <=> (~((~v132(constB64)) | (~v139(constB64)))))) | (~v138(constB64)) | (~((~v132(constB64)) | (~v139(constB64))))),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29274,plain,
% 17.06/12.23 (~v138(constB64)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29273, 29272, 29225])).
% 17.06/12.23 tff(29275,plain,
% 17.06/12.23 ((~(v138(constB64) | v142(constB64))) | v138(constB64) | v142(constB64)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29276,plain,
% 17.06/12.23 (~(v138(constB64) | v142(constB64))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29275, 29274, 29218])).
% 17.06/12.23 tff(29277,plain,
% 17.06/12.23 ((~(v135(constB64) <=> (v138(constB64) | v142(constB64)))) | (~v135(constB64)) | (v138(constB64) | v142(constB64))),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29278,plain,
% 17.06/12.23 (~v135(constB64)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29277, 29276, 29205])).
% 17.06/12.23 tff(29279,plain,
% 17.06/12.23 ((~(v137(constB65) <=> v135(constB64))) | (~v137(constB65)) | v135(constB64)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29280,plain,
% 17.06/12.23 (~v137(constB65)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29279, 29278, 29203])).
% 17.06/12.23 tff(29281,plain,
% 17.06/12.23 ((~(v132(constB65) <=> v137(constB65))) | (~v132(constB65)) | v137(constB65)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29282,plain,
% 17.06/12.23 (~v132(constB65)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29281, 29280, 29199])).
% 17.06/12.23 tff(29283,plain,
% 17.06/12.23 (((~v132(constB65)) | (~v155(constB65))) | v132(constB65)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29284,plain,
% 17.06/12.23 ((~v132(constB65)) | (~v155(constB65))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29283, 29282])).
% 17.06/12.23 tff(29285,plain,
% 17.06/12.23 ((~(v154(constB65) <=> (~((~v132(constB65)) | (~v155(constB65)))))) | (~v154(constB65)) | (~((~v132(constB65)) | (~v155(constB65))))),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29286,plain,
% 17.06/12.23 (~v154(constB65)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29285, 29284, 29197])).
% 17.06/12.23 tff(29287,plain,
% 17.06/12.23 ((~(v153(constB65) | v154(constB65))) | v153(constB65) | v154(constB65)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29288,plain,
% 17.06/12.23 (~(v153(constB65) | v154(constB65))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29287, 29286, 29190])).
% 17.06/12.23 tff(29289,plain,
% 17.06/12.23 ((~(v150(constB65) <=> (v153(constB65) | v154(constB65)))) | (~v150(constB65)) | (v153(constB65) | v154(constB65))),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29290,plain,
% 17.06/12.23 (~v150(constB65)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29289, 29288, 29179])).
% 17.06/12.23 tff(29291,plain,
% 17.06/12.23 ((~(v152(constB66) <=> v150(constB65))) | (~v152(constB66)) | v150(constB65)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29292,plain,
% 17.06/12.23 (~v152(constB66)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29291, 29290, 29177])).
% 17.06/12.23 tff(29293,plain,
% 17.06/12.23 ((~(v130(constB66) <=> v152(constB66))) | (~v130(constB66)) | v152(constB66)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29294,plain,
% 17.06/12.23 (~v130(constB66)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29293, 29292, 29173])).
% 17.06/12.23 tff(29295,plain,
% 17.06/12.23 (((~v130(constB66)) | (~v139(constB66))) | v130(constB66)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29296,plain,
% 17.06/12.23 ((~v130(constB66)) | (~v139(constB66))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29295, 29294])).
% 17.06/12.23 tff(29297,plain,
% 17.06/12.23 ((~(v153(constB66) <=> (~((~v130(constB66)) | (~v139(constB66)))))) | (~v153(constB66)) | (~((~v130(constB66)) | (~v139(constB66))))),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29298,plain,
% 17.06/12.23 (~v153(constB66)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29297, 29296, 29171])).
% 17.06/12.23 tff(29299,plain,
% 17.06/12.23 ((~(v153(constB66) | v154(constB66))) | v153(constB66) | v154(constB66)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29300,plain,
% 17.06/12.23 (~(v153(constB66) | v154(constB66))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29299, 29298, 29164])).
% 17.06/12.23 tff(29301,plain,
% 17.06/12.23 ((~(v150(constB66) <=> (v153(constB66) | v154(constB66)))) | (~v150(constB66)) | (v153(constB66) | v154(constB66))),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29302,plain,
% 17.06/12.23 (~v150(constB66)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29301, 29300, 29153])).
% 17.06/12.23 tff(29303,plain,
% 17.06/12.23 ((~(v152(constB67) <=> v150(constB66))) | (~v152(constB67)) | v150(constB66)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29304,plain,
% 17.06/12.23 (~v152(constB67)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29303, 29302, 29151])).
% 17.06/12.23 tff(29305,plain,
% 17.06/12.23 ((~(v130(constB67) <=> v152(constB67))) | (~v130(constB67)) | v152(constB67)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29306,plain,
% 17.06/12.23 (~v130(constB67)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29305, 29304, 29147])).
% 17.06/12.23 tff(29307,plain,
% 17.06/12.23 (((~v130(constB67)) | (~v155(constB67))) | v130(constB67)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29308,plain,
% 17.06/12.23 ((~v130(constB67)) | (~v155(constB67))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29307, 29306])).
% 17.06/12.23 tff(29309,plain,
% 17.06/12.23 ((~(v164(constB67) <=> (~((~v130(constB67)) | (~v155(constB67)))))) | (~v164(constB67)) | (~((~v130(constB67)) | (~v155(constB67))))),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29310,plain,
% 17.06/12.23 (~v164(constB67)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29309, 29308, 29145])).
% 17.06/12.23 tff(29311,plain,
% 17.06/12.23 ((~(v163(constB67) | v164(constB67))) | v163(constB67) | v164(constB67)),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29312,plain,
% 17.06/12.23 (~(v163(constB67) | v164(constB67))),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29311, 29310, 29138])).
% 17.06/12.23 tff(29313,plain,
% 17.06/12.23 ((~(v160(constB67) <=> (v163(constB67) | v164(constB67)))) | (~v160(constB67)) | (v163(constB67) | v164(constB67))),
% 17.06/12.23 inference(tautology,[status(thm)],[])).
% 17.06/12.23 tff(29314,plain,
% 17.06/12.23 (~v160(constB67)),
% 17.06/12.23 inference(unit_resolution,[status(thm)],[29313, 29312, 29065])).
% 17.06/12.24 tff(29315,plain,
% 17.06/12.24 ((~(v162(constB68) <=> v160(constB67))) | (~v162(constB68)) | v160(constB67)),
% 17.06/12.24 inference(tautology,[status(thm)],[])).
% 17.06/12.24 tff(29316,plain,
% 17.06/12.24 (~v162(constB68)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29315, 29314, 29063])).
% 17.06/12.24 tff(29317,plain,
% 17.06/12.24 ((~(v128(constB68) <=> v162(constB68))) | (~v128(constB68)) | v162(constB68)),
% 17.06/12.24 inference(tautology,[status(thm)],[])).
% 17.06/12.24 tff(29318,plain,
% 17.06/12.24 (~v128(constB68)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29317, 29316, 29059])).
% 17.06/12.24 tff(29319,plain,
% 17.06/12.24 (((~v128(constB68)) | (~v139(constB68))) | v128(constB68)),
% 17.06/12.24 inference(tautology,[status(thm)],[])).
% 17.06/12.24 tff(29320,plain,
% 17.06/12.24 ((~v128(constB68)) | (~v139(constB68))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29319, 29318])).
% 17.06/12.24 tff(29321,plain,
% 17.06/12.24 ((~(v163(constB68) <=> (~((~v128(constB68)) | (~v139(constB68)))))) | (~v163(constB68)) | (~((~v128(constB68)) | (~v139(constB68))))),
% 17.06/12.24 inference(tautology,[status(thm)],[])).
% 17.06/12.24 tff(29322,plain,
% 17.06/12.24 (~v163(constB68)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29321, 29320, 29057])).
% 17.06/12.24 tff(29323,plain,
% 17.06/12.24 ((~(v163(constB68) | v164(constB68))) | v163(constB68) | v164(constB68)),
% 17.06/12.24 inference(tautology,[status(thm)],[])).
% 17.06/12.24 tff(29324,plain,
% 17.06/12.24 (~(v163(constB68) | v164(constB68))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29323, 29322, 29050])).
% 17.06/12.24 tff(29325,plain,
% 17.06/12.24 ((~(v160(constB68) <=> (v163(constB68) | v164(constB68)))) | (~v160(constB68)) | (v163(constB68) | v164(constB68))),
% 17.06/12.24 inference(tautology,[status(thm)],[])).
% 17.06/12.24 tff(29326,plain,
% 17.06/12.24 (~v160(constB68)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29325, 29324, 29015])).
% 17.06/12.24 tff(29327,plain,
% 17.06/12.24 ((~(v162(constB69) <=> v160(constB68))) | (~v162(constB69)) | v160(constB68)),
% 17.06/12.24 inference(tautology,[status(thm)],[])).
% 17.06/12.24 tff(29328,plain,
% 17.06/12.24 (~v162(constB69)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29327, 29326, 29013])).
% 17.06/12.24 tff(29329,plain,
% 17.06/12.24 ($false),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29328, 29009])).
% 17.06/12.24 tff(29330,plain,(~(constB69 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.06/12.24 tff(29331,assumption,(constB89 = VarCurr!0), introduced(assumption)).
% 17.06/12.24 tff(29332,plain,
% 17.06/12.24 (v162(constB89) <=> v162(VarCurr!0)),
% 17.06/12.24 inference(monotonicity,[status(thm)],[29331])).
% 17.06/12.24 tff(29333,plain,
% 17.06/12.24 (v162(VarCurr!0) <=> v162(constB89)),
% 17.06/12.24 inference(symmetry,[status(thm)],[29332])).
% 17.06/12.24 tff(29334,plain,
% 17.06/12.24 (v162(constB89)),
% 17.06/12.24 inference(modus_ponens,[status(thm)],[59, 29333])).
% 17.06/12.24 tff(29335,plain,
% 17.06/12.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB88, constB89)) | (v162(constB89) <=> v160(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB88, constB89)) | (v162(constB89) <=> v160(constB88)))),
% 17.06/12.24 inference(rewrite,[status(thm)],[])).
% 17.06/12.24 tff(29336,plain,
% 17.06/12.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB88, constB89)) | (v162(constB89) <=> v160(constB88)))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29337,plain,
% 17.06/12.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB88, constB89)) | (v162(constB89) <=> v160(constB88))),
% 17.06/12.24 inference(modus_ponens,[status(thm)],[29336, 29335])).
% 17.06/12.24 tff(29338,plain,
% 17.06/12.24 (v162(constB89) <=> v160(constB88)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29337, 6702, 70])).
% 17.06/12.24 tff(29339,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB88) <=> (v163(constB88) | v164(constB88)))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29340,plain,
% 17.06/12.24 (v160(constB88) <=> (v163(constB88) | v164(constB88))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29339, 84])).
% 17.06/12.24 tff(29341,plain,
% 17.06/12.24 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB88) <=> (~((~v130(constB88)) | (~v155(constB88)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB88) <=> (~((~v130(constB88)) | (~v155(constB88))))))),
% 17.06/12.24 inference(rewrite,[status(thm)],[])).
% 17.06/12.24 tff(29342,plain,
% 17.06/12.24 ((v164(constB88) <=> (~((~v155(constB88)) | (~v130(constB88))))) <=> (v164(constB88) <=> (~((~v130(constB88)) | (~v155(constB88)))))),
% 17.06/12.24 inference(rewrite,[status(thm)],[])).
% 17.06/12.24 tff(29343,plain,
% 17.06/12.24 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB88) <=> (~((~v155(constB88)) | (~v130(constB88)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB88) <=> (~((~v130(constB88)) | (~v155(constB88))))))),
% 17.06/12.24 inference(monotonicity,[status(thm)],[29342])).
% 17.06/12.24 tff(29344,plain,
% 17.06/12.24 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB88) <=> (~((~v155(constB88)) | (~v130(constB88)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB88) <=> (~((~v130(constB88)) | (~v155(constB88))))))),
% 17.06/12.24 inference(transitivity,[status(thm)],[29343, 29341])).
% 17.06/12.24 tff(29345,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB88) <=> (~((~v155(constB88)) | (~v130(constB88)))))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29346,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB88) <=> (~((~v130(constB88)) | (~v155(constB88)))))),
% 17.06/12.24 inference(modus_ponens,[status(thm)],[29345, 29344])).
% 17.06/12.24 tff(29347,plain,
% 17.06/12.24 (v164(constB88) <=> (~((~v130(constB88)) | (~v155(constB88))))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29346, 96])).
% 17.06/12.24 tff(29348,plain,
% 17.06/12.24 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB88) <=> (~((~v141(constB88)) | (~v143(constB88)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB88) <=> (~((~v141(constB88)) | (~v143(constB88))))))),
% 17.06/12.24 inference(rewrite,[status(thm)],[])).
% 17.06/12.24 tff(29349,plain,
% 17.06/12.24 ((v155(constB88) <=> (~((~v143(constB88)) | (~v141(constB88))))) <=> (v155(constB88) <=> (~((~v141(constB88)) | (~v143(constB88)))))),
% 17.06/12.24 inference(rewrite,[status(thm)],[])).
% 17.06/12.24 tff(29350,plain,
% 17.06/12.24 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB88) <=> (~((~v143(constB88)) | (~v141(constB88)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB88) <=> (~((~v141(constB88)) | (~v143(constB88))))))),
% 17.06/12.24 inference(monotonicity,[status(thm)],[29349])).
% 17.06/12.24 tff(29351,plain,
% 17.06/12.24 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB88) <=> (~((~v143(constB88)) | (~v141(constB88)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB88) <=> (~((~v141(constB88)) | (~v143(constB88))))))),
% 17.06/12.24 inference(transitivity,[status(thm)],[29350, 29348])).
% 17.06/12.24 tff(29352,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB88) <=> (~((~v143(constB88)) | (~v141(constB88)))))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29353,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB88) <=> (~((~v141(constB88)) | (~v143(constB88)))))),
% 17.06/12.24 inference(modus_ponens,[status(thm)],[29352, 29351])).
% 17.06/12.24 tff(29354,plain,
% 17.06/12.24 (v155(constB88) <=> (~((~v141(constB88)) | (~v143(constB88))))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29353, 113])).
% 17.06/12.24 tff(29355,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB88) <=> (~((~v39(constB88)) | (~v9(constB88)))))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29356,plain,
% 17.06/12.24 (v141(constB88) <=> (~((~v39(constB88)) | (~v9(constB88))))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29355, 130])).
% 17.06/12.24 tff(29357,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB88)) <=> v1(constB88))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29358,plain,
% 17.06/12.24 ((~v39(constB88)) <=> v1(constB88)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29357, 139])).
% 17.06/12.24 tff(29359,plain,
% 17.06/12.24 ((~((~v39(constB88)) <=> v1(constB88))) | (~v39(constB88)) | (~v1(constB88))),
% 17.06/12.24 inference(tautology,[status(thm)],[])).
% 17.06/12.24 tff(29360,plain,
% 17.06/12.24 ((~((~v39(constB88)) <=> v1(constB88))) | (~v39(constB88))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29359, 11701])).
% 17.06/12.24 tff(29361,plain,
% 17.06/12.24 (~v39(constB88)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29360, 29358])).
% 17.06/12.24 tff(29362,plain,
% 17.06/12.24 (((~v39(constB88)) | (~v9(constB88))) | v39(constB88)),
% 17.06/12.24 inference(tautology,[status(thm)],[])).
% 17.06/12.24 tff(29363,plain,
% 17.06/12.24 ((~v39(constB88)) | (~v9(constB88))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29362, 29361])).
% 17.06/12.24 tff(29364,plain,
% 17.06/12.24 ((~(v141(constB88) <=> (~((~v39(constB88)) | (~v9(constB88)))))) | (~v141(constB88)) | (~((~v39(constB88)) | (~v9(constB88))))),
% 17.06/12.24 inference(tautology,[status(thm)],[])).
% 17.06/12.24 tff(29365,plain,
% 17.06/12.24 ((~(v141(constB88) <=> (~((~v39(constB88)) | (~v9(constB88)))))) | (~v141(constB88))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29364, 29363])).
% 17.06/12.24 tff(29366,plain,
% 17.06/12.24 (~v141(constB88)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29365, 29356])).
% 17.06/12.24 tff(29367,plain,
% 17.06/12.24 (((~v141(constB88)) | (~v143(constB88))) | v141(constB88)),
% 17.06/12.24 inference(tautology,[status(thm)],[])).
% 17.06/12.24 tff(29368,plain,
% 17.06/12.24 ((~v141(constB88)) | (~v143(constB88))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29367, 29366])).
% 17.06/12.24 tff(29369,plain,
% 17.06/12.24 ((~(v155(constB88) <=> (~((~v141(constB88)) | (~v143(constB88)))))) | (~v155(constB88)) | (~((~v141(constB88)) | (~v143(constB88))))),
% 17.06/12.24 inference(tautology,[status(thm)],[])).
% 17.06/12.24 tff(29370,plain,
% 17.06/12.24 ((~(v155(constB88) <=> (~((~v141(constB88)) | (~v143(constB88)))))) | (~v155(constB88))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29369, 29368])).
% 17.06/12.24 tff(29371,plain,
% 17.06/12.24 (~v155(constB88)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29370, 29354])).
% 17.06/12.24 tff(29372,plain,
% 17.06/12.24 (((~v130(constB88)) | (~v155(constB88))) | v155(constB88)),
% 17.06/12.24 inference(tautology,[status(thm)],[])).
% 17.06/12.24 tff(29373,plain,
% 17.06/12.24 ((~v130(constB88)) | (~v155(constB88))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29372, 29371])).
% 17.06/12.24 tff(29374,plain,
% 17.06/12.24 ((~(v164(constB88) <=> (~((~v130(constB88)) | (~v155(constB88)))))) | (~v164(constB88)) | (~((~v130(constB88)) | (~v155(constB88))))),
% 17.06/12.24 inference(tautology,[status(thm)],[])).
% 17.06/12.24 tff(29375,plain,
% 17.06/12.24 (~v164(constB88)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29374, 29373, 29347])).
% 17.06/12.24 tff(29376,plain,
% 17.06/12.24 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB88) <=> (~((~v128(constB88)) | (~v139(constB88)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB88) <=> (~((~v128(constB88)) | (~v139(constB88))))))),
% 17.06/12.24 inference(rewrite,[status(thm)],[])).
% 17.06/12.24 tff(29377,plain,
% 17.06/12.24 ((v163(constB88) <=> (~((~v139(constB88)) | (~v128(constB88))))) <=> (v163(constB88) <=> (~((~v128(constB88)) | (~v139(constB88)))))),
% 17.06/12.24 inference(rewrite,[status(thm)],[])).
% 17.06/12.24 tff(29378,plain,
% 17.06/12.24 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB88) <=> (~((~v139(constB88)) | (~v128(constB88)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB88) <=> (~((~v128(constB88)) | (~v139(constB88))))))),
% 17.06/12.24 inference(monotonicity,[status(thm)],[29377])).
% 17.06/12.24 tff(29379,plain,
% 17.06/12.24 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB88) <=> (~((~v139(constB88)) | (~v128(constB88)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB88) <=> (~((~v128(constB88)) | (~v139(constB88))))))),
% 17.06/12.24 inference(transitivity,[status(thm)],[29378, 29376])).
% 17.06/12.24 tff(29380,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB88) <=> (~((~v139(constB88)) | (~v128(constB88)))))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29381,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB88) <=> (~((~v128(constB88)) | (~v139(constB88)))))),
% 17.06/12.24 inference(modus_ponens,[status(thm)],[29380, 29379])).
% 17.06/12.24 tff(29382,plain,
% 17.06/12.24 (v163(constB88) <=> (~((~v128(constB88)) | (~v139(constB88))))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29381, 171])).
% 17.06/12.24 tff(29383,plain,
% 17.06/12.24 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB88) <=> v162(constB88))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29384,plain,
% 17.06/12.24 (v128(constB88) <=> v162(constB88)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29383, 13])).
% 17.06/12.24 tff(29385,plain,
% 17.06/12.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB87, constB88)) | (v162(constB88) <=> v160(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB87, constB88)) | (v162(constB88) <=> v160(constB87)))),
% 17.06/12.24 inference(rewrite,[status(thm)],[])).
% 17.06/12.24 tff(29386,plain,
% 17.06/12.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB87, constB88)) | (v162(constB88) <=> v160(constB87)))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29387,plain,
% 17.06/12.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB87, constB88)) | (v162(constB88) <=> v160(constB87))),
% 17.06/12.24 inference(modus_ponens,[status(thm)],[29386, 29385])).
% 17.06/12.24 tff(29388,plain,
% 17.06/12.24 (v162(constB88) <=> v160(constB87)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29387, 6738, 70])).
% 17.06/12.24 tff(29389,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB87) <=> (v163(constB87) | v164(constB87)))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29390,plain,
% 17.06/12.24 (v160(constB87) <=> (v163(constB87) | v164(constB87))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29389, 84])).
% 17.06/12.24 tff(29391,plain,
% 17.06/12.24 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB87) <=> (~((~v128(constB87)) | (~v139(constB87)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB87) <=> (~((~v128(constB87)) | (~v139(constB87))))))),
% 17.06/12.24 inference(rewrite,[status(thm)],[])).
% 17.06/12.24 tff(29392,plain,
% 17.06/12.24 ((v163(constB87) <=> (~((~v139(constB87)) | (~v128(constB87))))) <=> (v163(constB87) <=> (~((~v128(constB87)) | (~v139(constB87)))))),
% 17.06/12.24 inference(rewrite,[status(thm)],[])).
% 17.06/12.24 tff(29393,plain,
% 17.06/12.24 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB87) <=> (~((~v139(constB87)) | (~v128(constB87)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB87) <=> (~((~v128(constB87)) | (~v139(constB87))))))),
% 17.06/12.24 inference(monotonicity,[status(thm)],[29392])).
% 17.06/12.24 tff(29394,plain,
% 17.06/12.24 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB87) <=> (~((~v139(constB87)) | (~v128(constB87)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB87) <=> (~((~v128(constB87)) | (~v139(constB87))))))),
% 17.06/12.24 inference(transitivity,[status(thm)],[29393, 29391])).
% 17.06/12.24 tff(29395,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB87) <=> (~((~v139(constB87)) | (~v128(constB87)))))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29396,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB87) <=> (~((~v128(constB87)) | (~v139(constB87)))))),
% 17.06/12.24 inference(modus_ponens,[status(thm)],[29395, 29394])).
% 17.06/12.24 tff(29397,plain,
% 17.06/12.24 (v163(constB87) <=> (~((~v128(constB87)) | (~v139(constB87))))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29396, 171])).
% 17.06/12.24 tff(29398,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB87)) <=> v140(constB87))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29399,plain,
% 17.06/12.24 ((~v139(constB87)) <=> v140(constB87)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29398, 203])).
% 17.06/12.24 tff(29400,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB87) <=> (v141(constB87) | v26(constB87)))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29401,plain,
% 17.06/12.24 (v140(constB87) <=> (v141(constB87) | v26(constB87))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29400, 212])).
% 17.06/12.24 tff(29402,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB87) <=> (~((~v39(constB87)) | (~v9(constB87)))))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29403,plain,
% 17.06/12.24 (v141(constB87) <=> (~((~v39(constB87)) | (~v9(constB87))))),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29402, 130])).
% 17.06/12.24 tff(29404,plain,
% 17.06/12.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB87, constB88)) | (v13(constB88) <=> v9(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB87, constB88)) | (v13(constB88) <=> v9(constB87)))),
% 17.06/12.24 inference(rewrite,[status(thm)],[])).
% 17.06/12.24 tff(29405,plain,
% 17.06/12.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB87, constB88)) | (v13(constB88) <=> v9(constB87)))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29406,plain,
% 17.06/12.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB87, constB88)) | (v13(constB88) <=> v9(constB87))),
% 17.06/12.24 inference(modus_ponens,[status(thm)],[29405, 29404])).
% 17.06/12.24 tff(29407,plain,
% 17.06/12.24 (v13(constB88) <=> v9(constB87)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29406, 6738, 226])).
% 17.06/12.24 tff(29408,plain,
% 17.06/12.24 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB88) <=> v13(constB88))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29409,plain,
% 17.06/12.24 (v6(constB88) <=> v13(constB88)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29408, 240])).
% 17.06/12.24 tff(29410,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB88)) <=> v6(constB88))),
% 17.06/12.24 inference(quant_inst,[status(thm)],[])).
% 17.06/12.24 tff(29411,plain,
% 17.06/12.24 ((~v21(constB88)) <=> v6(constB88)),
% 17.06/12.24 inference(unit_resolution,[status(thm)],[29410, 249])).
% 17.06/12.24 tff(29412,plain,
% 17.06/12.24 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB88) <=> (v20(constB88) | v21(constB88)))),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29413,plain,
% 17.06/12.25 (v19(constB88) <=> (v20(constB88) | v21(constB88))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29412, 258])).
% 17.06/12.25 tff(29414,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB88) <=> (~((~v19(constB88)) | (~v22(constB88)))))),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29415,plain,
% 17.06/12.25 (v18(constB88) <=> (~((~v19(constB88)) | (~v22(constB88))))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29414, 270])).
% 17.06/12.25 tff(29416,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB88)) <=> v18(constB88))),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29417,plain,
% 17.06/12.25 ((~v4(constB88)) <=> v18(constB88)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29416, 279])).
% 17.06/12.25 tff(29418,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB88)),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29419,plain,
% 17.06/12.25 (v4(constB88)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29418, 288])).
% 17.06/12.25 tff(29420,plain,
% 17.06/12.25 ((~((~v4(constB88)) <=> v18(constB88))) | (~v4(constB88)) | (~v18(constB88))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29421,plain,
% 17.06/12.25 (~v18(constB88)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29420, 29419, 29417])).
% 17.06/12.25 tff(29422,plain,
% 17.06/12.25 ((~(v18(constB88) <=> (~((~v19(constB88)) | (~v22(constB88)))))) | v18(constB88) | ((~v19(constB88)) | (~v22(constB88)))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29423,plain,
% 17.06/12.25 ((~v19(constB88)) | (~v22(constB88))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29422, 29421, 29415])).
% 17.06/12.25 tff(29424,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB88) <=> (v1(constB88) | v6(constB88)))),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29425,plain,
% 17.06/12.25 (v22(constB88) <=> (v1(constB88) | v6(constB88))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29424, 301])).
% 17.06/12.25 tff(29426,plain,
% 17.06/12.25 ((v1(constB88) | v6(constB88)) | (~v1(constB88))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29427,plain,
% 17.06/12.25 (v1(constB88) | v6(constB88)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29426, 11701])).
% 17.06/12.25 tff(29428,plain,
% 17.06/12.25 ((~(v22(constB88) <=> (v1(constB88) | v6(constB88)))) | v22(constB88) | (~(v1(constB88) | v6(constB88)))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29429,plain,
% 17.06/12.25 ((~(v22(constB88) <=> (v1(constB88) | v6(constB88)))) | v22(constB88)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29428, 29427])).
% 17.06/12.25 tff(29430,plain,
% 17.06/12.25 (v22(constB88)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29429, 29425])).
% 17.06/12.25 tff(29431,plain,
% 17.06/12.25 ((~((~v19(constB88)) | (~v22(constB88)))) | (~v19(constB88)) | (~v22(constB88))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29432,plain,
% 17.06/12.25 ((~((~v19(constB88)) | (~v22(constB88)))) | (~v19(constB88))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29431, 29430])).
% 17.06/12.25 tff(29433,plain,
% 17.06/12.25 (~v19(constB88)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29432, 29423])).
% 17.06/12.25 tff(29434,plain,
% 17.06/12.25 ((~(v19(constB88) <=> (v20(constB88) | v21(constB88)))) | v19(constB88) | (~(v20(constB88) | v21(constB88)))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29435,plain,
% 17.06/12.25 (~(v20(constB88) | v21(constB88))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29434, 29433, 29413])).
% 17.06/12.25 tff(29436,plain,
% 17.06/12.25 ((v20(constB88) | v21(constB88)) | (~v21(constB88))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29437,plain,
% 17.06/12.25 (~v21(constB88)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29436, 29435])).
% 17.06/12.25 tff(29438,plain,
% 17.06/12.25 ((~((~v21(constB88)) <=> v6(constB88))) | v21(constB88) | v6(constB88)),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29439,plain,
% 17.06/12.25 (v6(constB88)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29438, 29437, 29411])).
% 17.06/12.25 tff(29440,plain,
% 17.06/12.25 ((~(v6(constB88) <=> v13(constB88))) | (~v6(constB88)) | v13(constB88)),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29441,plain,
% 17.06/12.25 (v13(constB88)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29440, 29439, 29409])).
% 17.06/12.25 tff(29442,plain,
% 17.06/12.25 ((~(v13(constB88) <=> v9(constB87))) | (~v13(constB88)) | v9(constB87)),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29443,plain,
% 17.06/12.25 (v9(constB87)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29442, 29441, 29407])).
% 17.06/12.25 tff(29444,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB87)) <=> v1(constB87))),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29445,plain,
% 17.06/12.25 ((~v39(constB87)) <=> v1(constB87)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29444, 139])).
% 17.06/12.25 tff(29446,plain,
% 17.06/12.25 ((~((~v39(constB87)) <=> v1(constB87))) | v39(constB87) | v1(constB87)),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29447,plain,
% 17.06/12.25 ((~((~v39(constB87)) <=> v1(constB87))) | v39(constB87)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29446, 6777])).
% 17.06/12.25 tff(29448,plain,
% 17.06/12.25 (v39(constB87)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29447, 29445])).
% 17.06/12.25 tff(29449,plain,
% 17.06/12.25 ((~((~v39(constB87)) | (~v9(constB87)))) | (~v39(constB87)) | (~v9(constB87))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29450,plain,
% 17.06/12.25 ((~((~v39(constB87)) | (~v9(constB87)))) | (~v9(constB87))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29449, 29448])).
% 17.06/12.25 tff(29451,plain,
% 17.06/12.25 (~((~v39(constB87)) | (~v9(constB87)))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29450, 29443])).
% 17.06/12.25 tff(29452,plain,
% 17.06/12.25 ((~(v141(constB87) <=> (~((~v39(constB87)) | (~v9(constB87)))))) | v141(constB87) | ((~v39(constB87)) | (~v9(constB87)))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29453,plain,
% 17.06/12.25 (v141(constB87)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29452, 29451, 29403])).
% 17.06/12.25 tff(29454,plain,
% 17.06/12.25 ((v141(constB87) | v26(constB87)) | (~v141(constB87))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29455,plain,
% 17.06/12.25 (v141(constB87) | v26(constB87)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29454, 29453])).
% 17.06/12.25 tff(29456,plain,
% 17.06/12.25 ((~(v140(constB87) <=> (v141(constB87) | v26(constB87)))) | v140(constB87) | (~(v141(constB87) | v26(constB87)))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29457,plain,
% 17.06/12.25 (v140(constB87)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29456, 29455, 29401])).
% 17.06/12.25 tff(29458,plain,
% 17.06/12.25 ((~((~v139(constB87)) <=> v140(constB87))) | (~v139(constB87)) | (~v140(constB87))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29459,plain,
% 17.06/12.25 (~v139(constB87)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29458, 29457, 29399])).
% 17.06/12.25 tff(29460,plain,
% 17.06/12.25 (((~v128(constB87)) | (~v139(constB87))) | v139(constB87)),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29461,plain,
% 17.06/12.25 ((~v128(constB87)) | (~v139(constB87))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29460, 29459])).
% 17.06/12.25 tff(29462,plain,
% 17.06/12.25 ((~(v163(constB87) <=> (~((~v128(constB87)) | (~v139(constB87)))))) | (~v163(constB87)) | (~((~v128(constB87)) | (~v139(constB87))))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29463,plain,
% 17.06/12.25 (~v163(constB87)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29462, 29461, 29397])).
% 17.06/12.25 tff(29464,plain,
% 17.06/12.25 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB87) <=> (~((~v130(constB87)) | (~v155(constB87)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB87) <=> (~((~v130(constB87)) | (~v155(constB87))))))),
% 17.06/12.25 inference(rewrite,[status(thm)],[])).
% 17.06/12.25 tff(29465,plain,
% 17.06/12.25 ((v164(constB87) <=> (~((~v155(constB87)) | (~v130(constB87))))) <=> (v164(constB87) <=> (~((~v130(constB87)) | (~v155(constB87)))))),
% 17.06/12.25 inference(rewrite,[status(thm)],[])).
% 17.06/12.25 tff(29466,plain,
% 17.06/12.25 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB87) <=> (~((~v155(constB87)) | (~v130(constB87)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB87) <=> (~((~v130(constB87)) | (~v155(constB87))))))),
% 17.06/12.25 inference(monotonicity,[status(thm)],[29465])).
% 17.06/12.25 tff(29467,plain,
% 17.06/12.25 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB87) <=> (~((~v155(constB87)) | (~v130(constB87)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB87) <=> (~((~v130(constB87)) | (~v155(constB87))))))),
% 17.06/12.25 inference(transitivity,[status(thm)],[29466, 29464])).
% 17.06/12.25 tff(29468,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB87) <=> (~((~v155(constB87)) | (~v130(constB87)))))),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29469,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB87) <=> (~((~v130(constB87)) | (~v155(constB87)))))),
% 17.06/12.25 inference(modus_ponens,[status(thm)],[29468, 29467])).
% 17.06/12.25 tff(29470,plain,
% 17.06/12.25 (v164(constB87) <=> (~((~v130(constB87)) | (~v155(constB87))))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29469, 96])).
% 17.06/12.25 tff(29471,plain,
% 17.06/12.25 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB87) <=> v152(constB87))),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29472,plain,
% 17.06/12.25 (v130(constB87) <=> v152(constB87)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29471, 361])).
% 17.06/12.25 tff(29473,plain,
% 17.06/12.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB86, constB87)) | (v152(constB87) <=> v150(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB86, constB87)) | (v152(constB87) <=> v150(constB86)))),
% 17.06/12.25 inference(rewrite,[status(thm)],[])).
% 17.06/12.25 tff(29474,plain,
% 17.06/12.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB86, constB87)) | (v152(constB87) <=> v150(constB86)))),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29475,plain,
% 17.06/12.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB86, constB87)) | (v152(constB87) <=> v150(constB86))),
% 17.06/12.25 inference(modus_ponens,[status(thm)],[29474, 29473])).
% 17.06/12.25 tff(29476,plain,
% 17.06/12.25 (v152(constB87) <=> v150(constB86)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29475, 6763, 373])).
% 17.06/12.25 tff(29477,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB86) <=> (v153(constB86) | v154(constB86)))),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29478,plain,
% 17.06/12.25 (v150(constB86) <=> (v153(constB86) | v154(constB86))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29477, 387])).
% 17.06/12.25 tff(29479,plain,
% 17.06/12.25 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB86) <=> (~((~v132(constB86)) | (~v155(constB86)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB86) <=> (~((~v132(constB86)) | (~v155(constB86))))))),
% 17.06/12.25 inference(rewrite,[status(thm)],[])).
% 17.06/12.25 tff(29480,plain,
% 17.06/12.25 ((v154(constB86) <=> (~((~v155(constB86)) | (~v132(constB86))))) <=> (v154(constB86) <=> (~((~v132(constB86)) | (~v155(constB86)))))),
% 17.06/12.25 inference(rewrite,[status(thm)],[])).
% 17.06/12.25 tff(29481,plain,
% 17.06/12.25 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB86) <=> (~((~v155(constB86)) | (~v132(constB86)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB86) <=> (~((~v132(constB86)) | (~v155(constB86))))))),
% 17.06/12.25 inference(monotonicity,[status(thm)],[29480])).
% 17.06/12.25 tff(29482,plain,
% 17.06/12.25 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB86) <=> (~((~v155(constB86)) | (~v132(constB86)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB86) <=> (~((~v132(constB86)) | (~v155(constB86))))))),
% 17.06/12.25 inference(transitivity,[status(thm)],[29481, 29479])).
% 17.06/12.25 tff(29483,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB86) <=> (~((~v155(constB86)) | (~v132(constB86)))))),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29484,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB86) <=> (~((~v132(constB86)) | (~v155(constB86)))))),
% 17.06/12.25 inference(modus_ponens,[status(thm)],[29483, 29482])).
% 17.06/12.25 tff(29485,plain,
% 17.06/12.25 (v154(constB86) <=> (~((~v132(constB86)) | (~v155(constB86))))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29484, 399])).
% 17.06/12.25 tff(29486,plain,
% 17.06/12.25 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB86) <=> (~((~v141(constB86)) | (~v143(constB86)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB86) <=> (~((~v141(constB86)) | (~v143(constB86))))))),
% 17.06/12.25 inference(rewrite,[status(thm)],[])).
% 17.06/12.25 tff(29487,plain,
% 17.06/12.25 ((v155(constB86) <=> (~((~v143(constB86)) | (~v141(constB86))))) <=> (v155(constB86) <=> (~((~v141(constB86)) | (~v143(constB86)))))),
% 17.06/12.25 inference(rewrite,[status(thm)],[])).
% 17.06/12.25 tff(29488,plain,
% 17.06/12.25 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB86) <=> (~((~v143(constB86)) | (~v141(constB86)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB86) <=> (~((~v141(constB86)) | (~v143(constB86))))))),
% 17.06/12.25 inference(monotonicity,[status(thm)],[29487])).
% 17.06/12.25 tff(29489,plain,
% 17.06/12.25 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB86) <=> (~((~v143(constB86)) | (~v141(constB86)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB86) <=> (~((~v141(constB86)) | (~v143(constB86))))))),
% 17.06/12.25 inference(transitivity,[status(thm)],[29488, 29486])).
% 17.06/12.25 tff(29490,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB86) <=> (~((~v143(constB86)) | (~v141(constB86)))))),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29491,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB86) <=> (~((~v141(constB86)) | (~v143(constB86)))))),
% 17.06/12.25 inference(modus_ponens,[status(thm)],[29490, 29489])).
% 17.06/12.25 tff(29492,plain,
% 17.06/12.25 (v155(constB86) <=> (~((~v141(constB86)) | (~v143(constB86))))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29491, 113])).
% 17.06/12.25 tff(29493,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29494,plain,
% 17.06/12.25 (v141(constB86) <=> (~((~v39(constB86)) | (~v9(constB86))))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29493, 130])).
% 17.06/12.25 tff(29495,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB86)) <=> v1(constB86))),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29496,plain,
% 17.06/12.25 ((~v39(constB86)) <=> v1(constB86)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29495, 139])).
% 17.06/12.25 tff(29497,plain,
% 17.06/12.25 ((~((~v39(constB86)) <=> v1(constB86))) | (~v39(constB86)) | (~v1(constB86))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29498,plain,
% 17.06/12.25 ((~((~v39(constB86)) <=> v1(constB86))) | (~v39(constB86))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29497, 11543])).
% 17.06/12.25 tff(29499,plain,
% 17.06/12.25 (~v39(constB86)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29498, 29496])).
% 17.06/12.25 tff(29500,plain,
% 17.06/12.25 (((~v39(constB86)) | (~v9(constB86))) | v39(constB86)),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29501,plain,
% 17.06/12.25 ((~v39(constB86)) | (~v9(constB86))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29500, 29499])).
% 17.06/12.25 tff(29502,plain,
% 17.06/12.25 ((~(v141(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))) | (~v141(constB86)) | (~((~v39(constB86)) | (~v9(constB86))))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29503,plain,
% 17.06/12.25 ((~(v141(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))) | (~v141(constB86))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29502, 29501])).
% 17.06/12.25 tff(29504,plain,
% 17.06/12.25 (~v141(constB86)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29503, 29494])).
% 17.06/12.25 tff(29505,plain,
% 17.06/12.25 (((~v141(constB86)) | (~v143(constB86))) | v141(constB86)),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29506,plain,
% 17.06/12.25 ((~v141(constB86)) | (~v143(constB86))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29505, 29504])).
% 17.06/12.25 tff(29507,plain,
% 17.06/12.25 ((~(v155(constB86) <=> (~((~v141(constB86)) | (~v143(constB86)))))) | (~v155(constB86)) | (~((~v141(constB86)) | (~v143(constB86))))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29508,plain,
% 17.06/12.25 ((~(v155(constB86) <=> (~((~v141(constB86)) | (~v143(constB86)))))) | (~v155(constB86))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29507, 29506])).
% 17.06/12.25 tff(29509,plain,
% 17.06/12.25 (~v155(constB86)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29508, 29492])).
% 17.06/12.25 tff(29510,plain,
% 17.06/12.25 (((~v132(constB86)) | (~v155(constB86))) | v155(constB86)),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29511,plain,
% 17.06/12.25 ((~v132(constB86)) | (~v155(constB86))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29510, 29509])).
% 17.06/12.25 tff(29512,plain,
% 17.06/12.25 ((~(v154(constB86) <=> (~((~v132(constB86)) | (~v155(constB86)))))) | (~v154(constB86)) | (~((~v132(constB86)) | (~v155(constB86))))),
% 17.06/12.25 inference(tautology,[status(thm)],[])).
% 17.06/12.25 tff(29513,plain,
% 17.06/12.25 (~v154(constB86)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29512, 29511, 29485])).
% 17.06/12.25 tff(29514,plain,
% 17.06/12.25 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB86) <=> (~((~v130(constB86)) | (~v139(constB86)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB86) <=> (~((~v130(constB86)) | (~v139(constB86))))))),
% 17.06/12.25 inference(rewrite,[status(thm)],[])).
% 17.06/12.25 tff(29515,plain,
% 17.06/12.25 ((v153(constB86) <=> (~((~v139(constB86)) | (~v130(constB86))))) <=> (v153(constB86) <=> (~((~v130(constB86)) | (~v139(constB86)))))),
% 17.06/12.25 inference(rewrite,[status(thm)],[])).
% 17.06/12.25 tff(29516,plain,
% 17.06/12.25 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB86) <=> (~((~v139(constB86)) | (~v130(constB86)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB86) <=> (~((~v130(constB86)) | (~v139(constB86))))))),
% 17.06/12.25 inference(monotonicity,[status(thm)],[29515])).
% 17.06/12.25 tff(29517,plain,
% 17.06/12.25 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB86) <=> (~((~v139(constB86)) | (~v130(constB86)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB86) <=> (~((~v130(constB86)) | (~v139(constB86))))))),
% 17.06/12.25 inference(transitivity,[status(thm)],[29516, 29514])).
% 17.06/12.25 tff(29518,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB86) <=> (~((~v139(constB86)) | (~v130(constB86)))))),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29519,plain,
% 17.06/12.25 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB86) <=> (~((~v130(constB86)) | (~v139(constB86)))))),
% 17.06/12.25 inference(modus_ponens,[status(thm)],[29518, 29517])).
% 17.06/12.25 tff(29520,plain,
% 17.06/12.25 (v153(constB86) <=> (~((~v130(constB86)) | (~v139(constB86))))),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29519, 447])).
% 17.06/12.25 tff(29521,plain,
% 17.06/12.25 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB86) <=> v152(constB86))),
% 17.06/12.25 inference(quant_inst,[status(thm)],[])).
% 17.06/12.25 tff(29522,plain,
% 17.06/12.25 (v130(constB86) <=> v152(constB86)),
% 17.06/12.25 inference(unit_resolution,[status(thm)],[29521, 361])).
% 17.06/12.25 tff(29523,plain,
% 17.06/12.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB85, constB86)) | (v152(constB86) <=> v150(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB85, constB86)) | (v152(constB86) <=> v150(constB85)))),
% 17.06/12.25 inference(rewrite,[status(thm)],[])).
% 17.06/12.25 tff(29524,plain,
% 17.06/12.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB85, constB86)) | (v152(constB86) <=> v150(constB85)))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29525,plain,
% 17.06/12.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB85, constB86)) | (v152(constB86) <=> v150(constB85))),
% 17.06/12.26 inference(modus_ponens,[status(thm)],[29524, 29523])).
% 17.06/12.26 tff(29526,plain,
% 17.06/12.26 (v152(constB86) <=> v150(constB85)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29525, 6799, 373])).
% 17.06/12.26 tff(29527,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB85) <=> (v153(constB85) | v154(constB85)))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29528,plain,
% 17.06/12.26 (v150(constB85) <=> (v153(constB85) | v154(constB85))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29527, 387])).
% 17.06/12.26 tff(29529,plain,
% 17.06/12.26 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB85) <=> (~((~v130(constB85)) | (~v139(constB85)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB85) <=> (~((~v130(constB85)) | (~v139(constB85))))))),
% 17.06/12.26 inference(rewrite,[status(thm)],[])).
% 17.06/12.26 tff(29530,plain,
% 17.06/12.26 ((v153(constB85) <=> (~((~v139(constB85)) | (~v130(constB85))))) <=> (v153(constB85) <=> (~((~v130(constB85)) | (~v139(constB85)))))),
% 17.06/12.26 inference(rewrite,[status(thm)],[])).
% 17.06/12.26 tff(29531,plain,
% 17.06/12.26 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB85) <=> (~((~v139(constB85)) | (~v130(constB85)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB85) <=> (~((~v130(constB85)) | (~v139(constB85))))))),
% 17.06/12.26 inference(monotonicity,[status(thm)],[29530])).
% 17.06/12.26 tff(29532,plain,
% 17.06/12.26 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB85) <=> (~((~v139(constB85)) | (~v130(constB85)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB85) <=> (~((~v130(constB85)) | (~v139(constB85))))))),
% 17.06/12.26 inference(transitivity,[status(thm)],[29531, 29529])).
% 17.06/12.26 tff(29533,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB85) <=> (~((~v139(constB85)) | (~v130(constB85)))))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29534,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB85) <=> (~((~v130(constB85)) | (~v139(constB85)))))),
% 17.06/12.26 inference(modus_ponens,[status(thm)],[29533, 29532])).
% 17.06/12.26 tff(29535,plain,
% 17.06/12.26 (v153(constB85) <=> (~((~v130(constB85)) | (~v139(constB85))))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29534, 447])).
% 17.06/12.26 tff(29536,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB85)) <=> v140(constB85))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29537,plain,
% 17.06/12.26 ((~v139(constB85)) <=> v140(constB85)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29536, 203])).
% 17.06/12.26 tff(29538,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB85) <=> (v141(constB85) | v26(constB85)))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29539,plain,
% 17.06/12.26 (v140(constB85) <=> (v141(constB85) | v26(constB85))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29538, 212])).
% 17.06/12.26 tff(29540,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB85) <=> (~((~v39(constB85)) | (~v9(constB85)))))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29541,plain,
% 17.06/12.26 (v141(constB85) <=> (~((~v39(constB85)) | (~v9(constB85))))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29540, 130])).
% 17.06/12.26 tff(29542,plain,
% 17.06/12.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85)))),
% 17.06/12.26 inference(rewrite,[status(thm)],[])).
% 17.06/12.26 tff(29543,plain,
% 17.06/12.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85)))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29544,plain,
% 17.06/12.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85))),
% 17.06/12.26 inference(modus_ponens,[status(thm)],[29543, 29542])).
% 17.06/12.26 tff(29545,plain,
% 17.06/12.26 (v13(constB86) <=> v9(constB85)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29544, 6799, 226])).
% 17.06/12.26 tff(29546,plain,
% 17.06/12.26 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB86) <=> v13(constB86))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29547,plain,
% 17.06/12.26 (v6(constB86) <=> v13(constB86)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29546, 240])).
% 17.06/12.26 tff(29548,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB86)) <=> v6(constB86))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29549,plain,
% 17.06/12.26 ((~v21(constB86)) <=> v6(constB86)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29548, 249])).
% 17.06/12.26 tff(29550,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB86) <=> (v20(constB86) | v21(constB86)))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29551,plain,
% 17.06/12.26 (v19(constB86) <=> (v20(constB86) | v21(constB86))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29550, 258])).
% 17.06/12.26 tff(29552,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86)))))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29553,plain,
% 17.06/12.26 (v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86))))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29552, 270])).
% 17.06/12.26 tff(29554,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB86)) <=> v18(constB86))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29555,plain,
% 17.06/12.26 ((~v4(constB86)) <=> v18(constB86)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29554, 279])).
% 17.06/12.26 tff(29556,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB86)),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29557,plain,
% 17.06/12.26 (v4(constB86)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29556, 288])).
% 17.06/12.26 tff(29558,plain,
% 17.06/12.26 ((~((~v4(constB86)) <=> v18(constB86))) | (~v4(constB86)) | (~v18(constB86))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29559,plain,
% 17.06/12.26 (~v18(constB86)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29558, 29557, 29555])).
% 17.06/12.26 tff(29560,plain,
% 17.06/12.26 ((~(v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86)))))) | v18(constB86) | ((~v19(constB86)) | (~v22(constB86)))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29561,plain,
% 17.06/12.26 ((~v19(constB86)) | (~v22(constB86))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29560, 29559, 29553])).
% 17.06/12.26 tff(29562,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB86) <=> (v1(constB86) | v6(constB86)))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29563,plain,
% 17.06/12.26 (v22(constB86) <=> (v1(constB86) | v6(constB86))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29562, 301])).
% 17.06/12.26 tff(29564,plain,
% 17.06/12.26 ((v1(constB86) | v6(constB86)) | (~v1(constB86))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29565,plain,
% 17.06/12.26 (v1(constB86) | v6(constB86)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29564, 11543])).
% 17.06/12.26 tff(29566,plain,
% 17.06/12.26 ((~(v22(constB86) <=> (v1(constB86) | v6(constB86)))) | v22(constB86) | (~(v1(constB86) | v6(constB86)))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29567,plain,
% 17.06/12.26 ((~(v22(constB86) <=> (v1(constB86) | v6(constB86)))) | v22(constB86)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29566, 29565])).
% 17.06/12.26 tff(29568,plain,
% 17.06/12.26 (v22(constB86)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29567, 29563])).
% 17.06/12.26 tff(29569,plain,
% 17.06/12.26 ((~((~v19(constB86)) | (~v22(constB86)))) | (~v19(constB86)) | (~v22(constB86))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29570,plain,
% 17.06/12.26 ((~((~v19(constB86)) | (~v22(constB86)))) | (~v19(constB86))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29569, 29568])).
% 17.06/12.26 tff(29571,plain,
% 17.06/12.26 (~v19(constB86)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29570, 29561])).
% 17.06/12.26 tff(29572,plain,
% 17.06/12.26 ((~(v19(constB86) <=> (v20(constB86) | v21(constB86)))) | v19(constB86) | (~(v20(constB86) | v21(constB86)))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29573,plain,
% 17.06/12.26 (~(v20(constB86) | v21(constB86))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29572, 29571, 29551])).
% 17.06/12.26 tff(29574,plain,
% 17.06/12.26 ((v20(constB86) | v21(constB86)) | (~v21(constB86))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29575,plain,
% 17.06/12.26 (~v21(constB86)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29574, 29573])).
% 17.06/12.26 tff(29576,plain,
% 17.06/12.26 ((~((~v21(constB86)) <=> v6(constB86))) | v21(constB86) | v6(constB86)),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29577,plain,
% 17.06/12.26 (v6(constB86)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29576, 29575, 29549])).
% 17.06/12.26 tff(29578,plain,
% 17.06/12.26 ((~(v6(constB86) <=> v13(constB86))) | (~v6(constB86)) | v13(constB86)),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29579,plain,
% 17.06/12.26 (v13(constB86)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29578, 29577, 29547])).
% 17.06/12.26 tff(29580,plain,
% 17.06/12.26 ((~(v13(constB86) <=> v9(constB85))) | (~v13(constB86)) | v9(constB85)),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29581,plain,
% 17.06/12.26 (v9(constB85)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29580, 29579, 29545])).
% 17.06/12.26 tff(29582,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB85)) <=> v1(constB85))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29583,plain,
% 17.06/12.26 ((~v39(constB85)) <=> v1(constB85)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29582, 139])).
% 17.06/12.26 tff(29584,plain,
% 17.06/12.26 ((~((~v39(constB85)) <=> v1(constB85))) | v39(constB85) | v1(constB85)),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29585,plain,
% 17.06/12.26 ((~((~v39(constB85)) <=> v1(constB85))) | v39(constB85)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29584, 6838])).
% 17.06/12.26 tff(29586,plain,
% 17.06/12.26 (v39(constB85)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29585, 29583])).
% 17.06/12.26 tff(29587,plain,
% 17.06/12.26 ((~((~v39(constB85)) | (~v9(constB85)))) | (~v39(constB85)) | (~v9(constB85))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29588,plain,
% 17.06/12.26 ((~((~v39(constB85)) | (~v9(constB85)))) | (~v9(constB85))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29587, 29586])).
% 17.06/12.26 tff(29589,plain,
% 17.06/12.26 (~((~v39(constB85)) | (~v9(constB85)))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29588, 29581])).
% 17.06/12.26 tff(29590,plain,
% 17.06/12.26 ((~(v141(constB85) <=> (~((~v39(constB85)) | (~v9(constB85)))))) | v141(constB85) | ((~v39(constB85)) | (~v9(constB85)))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29591,plain,
% 17.06/12.26 (v141(constB85)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29590, 29589, 29541])).
% 17.06/12.26 tff(29592,plain,
% 17.06/12.26 ((v141(constB85) | v26(constB85)) | (~v141(constB85))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29593,plain,
% 17.06/12.26 (v141(constB85) | v26(constB85)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29592, 29591])).
% 17.06/12.26 tff(29594,plain,
% 17.06/12.26 ((~(v140(constB85) <=> (v141(constB85) | v26(constB85)))) | v140(constB85) | (~(v141(constB85) | v26(constB85)))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29595,plain,
% 17.06/12.26 (v140(constB85)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29594, 29593, 29539])).
% 17.06/12.26 tff(29596,plain,
% 17.06/12.26 ((~((~v139(constB85)) <=> v140(constB85))) | (~v139(constB85)) | (~v140(constB85))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29597,plain,
% 17.06/12.26 (~v139(constB85)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29596, 29595, 29537])).
% 17.06/12.26 tff(29598,plain,
% 17.06/12.26 (((~v130(constB85)) | (~v139(constB85))) | v139(constB85)),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29599,plain,
% 17.06/12.26 ((~v130(constB85)) | (~v139(constB85))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29598, 29597])).
% 17.06/12.26 tff(29600,plain,
% 17.06/12.26 ((~(v153(constB85) <=> (~((~v130(constB85)) | (~v139(constB85)))))) | (~v153(constB85)) | (~((~v130(constB85)) | (~v139(constB85))))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29601,plain,
% 17.06/12.26 (~v153(constB85)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29600, 29599, 29535])).
% 17.06/12.26 tff(29602,plain,
% 17.06/12.26 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB85) <=> (~((~v132(constB85)) | (~v155(constB85)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB85) <=> (~((~v132(constB85)) | (~v155(constB85))))))),
% 17.06/12.26 inference(rewrite,[status(thm)],[])).
% 17.06/12.26 tff(29603,plain,
% 17.06/12.26 ((v154(constB85) <=> (~((~v155(constB85)) | (~v132(constB85))))) <=> (v154(constB85) <=> (~((~v132(constB85)) | (~v155(constB85)))))),
% 17.06/12.26 inference(rewrite,[status(thm)],[])).
% 17.06/12.26 tff(29604,plain,
% 17.06/12.26 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB85) <=> (~((~v155(constB85)) | (~v132(constB85)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB85) <=> (~((~v132(constB85)) | (~v155(constB85))))))),
% 17.06/12.26 inference(monotonicity,[status(thm)],[29603])).
% 17.06/12.26 tff(29605,plain,
% 17.06/12.26 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB85) <=> (~((~v155(constB85)) | (~v132(constB85)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB85) <=> (~((~v132(constB85)) | (~v155(constB85))))))),
% 17.06/12.26 inference(transitivity,[status(thm)],[29604, 29602])).
% 17.06/12.26 tff(29606,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB85) <=> (~((~v155(constB85)) | (~v132(constB85)))))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29607,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB85) <=> (~((~v132(constB85)) | (~v155(constB85)))))),
% 17.06/12.26 inference(modus_ponens,[status(thm)],[29606, 29605])).
% 17.06/12.26 tff(29608,plain,
% 17.06/12.26 (v154(constB85) <=> (~((~v132(constB85)) | (~v155(constB85))))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29607, 399])).
% 17.06/12.26 tff(29609,plain,
% 17.06/12.26 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB85) <=> v137(constB85))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29610,plain,
% 17.06/12.26 (v132(constB85) <=> v137(constB85)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29609, 558])).
% 17.06/12.26 tff(29611,plain,
% 17.06/12.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB84, constB85)) | (v137(constB85) <=> v135(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB84, constB85)) | (v137(constB85) <=> v135(constB84)))),
% 17.06/12.26 inference(rewrite,[status(thm)],[])).
% 17.06/12.26 tff(29612,plain,
% 17.06/12.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB84, constB85)) | (v137(constB85) <=> v135(constB84)))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29613,plain,
% 17.06/12.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB84, constB85)) | (v137(constB85) <=> v135(constB84))),
% 17.06/12.26 inference(modus_ponens,[status(thm)],[29612, 29611])).
% 17.06/12.26 tff(29614,plain,
% 17.06/12.26 (v137(constB85) <=> v135(constB84)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29613, 6824, 570])).
% 17.06/12.26 tff(29615,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB84) <=> (v138(constB84) | v142(constB84)))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29616,plain,
% 17.06/12.26 (v135(constB84) <=> (v138(constB84) | v142(constB84))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29615, 584])).
% 17.06/12.26 tff(29617,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB84) <=> (~((~v143(constB84)) | (~v144(constB84)))))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29618,plain,
% 17.06/12.26 (v142(constB84) <=> (~((~v143(constB84)) | (~v144(constB84))))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29617, 596])).
% 17.06/12.26 tff(29619,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB84) <=> (~((~v141(constB84)) | (~v145(constB84)))))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29620,plain,
% 17.06/12.26 (v144(constB84) <=> (~((~v141(constB84)) | (~v145(constB84))))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29619, 608])).
% 17.06/12.26 tff(29621,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB84) <=> (~((~v39(constB84)) | (~v9(constB84)))))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29622,plain,
% 17.06/12.26 (v141(constB84) <=> (~((~v39(constB84)) | (~v9(constB84))))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29621, 130])).
% 17.06/12.26 tff(29623,plain,
% 17.06/12.26 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB84)) <=> v1(constB84))),
% 17.06/12.26 inference(quant_inst,[status(thm)],[])).
% 17.06/12.26 tff(29624,plain,
% 17.06/12.26 ((~v39(constB84)) <=> v1(constB84)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29623, 139])).
% 17.06/12.26 tff(29625,plain,
% 17.06/12.26 ((~((~v39(constB84)) <=> v1(constB84))) | (~v39(constB84)) | (~v1(constB84))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29626,plain,
% 17.06/12.26 ((~((~v39(constB84)) <=> v1(constB84))) | (~v39(constB84))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29625, 11370])).
% 17.06/12.26 tff(29627,plain,
% 17.06/12.26 (~v39(constB84)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29626, 29624])).
% 17.06/12.26 tff(29628,plain,
% 17.06/12.26 (((~v39(constB84)) | (~v9(constB84))) | v39(constB84)),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29629,plain,
% 17.06/12.26 ((~v39(constB84)) | (~v9(constB84))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29628, 29627])).
% 17.06/12.26 tff(29630,plain,
% 17.06/12.26 ((~(v141(constB84) <=> (~((~v39(constB84)) | (~v9(constB84)))))) | (~v141(constB84)) | (~((~v39(constB84)) | (~v9(constB84))))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29631,plain,
% 17.06/12.26 ((~(v141(constB84) <=> (~((~v39(constB84)) | (~v9(constB84)))))) | (~v141(constB84))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29630, 29629])).
% 17.06/12.26 tff(29632,plain,
% 17.06/12.26 (~v141(constB84)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29631, 29622])).
% 17.06/12.26 tff(29633,plain,
% 17.06/12.26 (((~v141(constB84)) | (~v145(constB84))) | v141(constB84)),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29634,plain,
% 17.06/12.26 ((~v141(constB84)) | (~v145(constB84))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29633, 29632])).
% 17.06/12.26 tff(29635,plain,
% 17.06/12.26 ((~(v144(constB84) <=> (~((~v141(constB84)) | (~v145(constB84)))))) | (~v144(constB84)) | (~((~v141(constB84)) | (~v145(constB84))))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29636,plain,
% 17.06/12.26 ((~(v144(constB84) <=> (~((~v141(constB84)) | (~v145(constB84)))))) | (~v144(constB84))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29635, 29634])).
% 17.06/12.26 tff(29637,plain,
% 17.06/12.26 (~v144(constB84)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29636, 29620])).
% 17.06/12.26 tff(29638,plain,
% 17.06/12.26 (((~v143(constB84)) | (~v144(constB84))) | v144(constB84)),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29639,plain,
% 17.06/12.26 ((~v143(constB84)) | (~v144(constB84))),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29638, 29637])).
% 17.06/12.26 tff(29640,plain,
% 17.06/12.26 ((~(v142(constB84) <=> (~((~v143(constB84)) | (~v144(constB84)))))) | (~v142(constB84)) | (~((~v143(constB84)) | (~v144(constB84))))),
% 17.06/12.26 inference(tautology,[status(thm)],[])).
% 17.06/12.26 tff(29641,plain,
% 17.06/12.26 (~v142(constB84)),
% 17.06/12.26 inference(unit_resolution,[status(thm)],[29640, 29639, 29618])).
% 17.06/12.26 tff(29642,plain,
% 17.06/12.26 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB84) <=> (~((~v132(constB84)) | (~v139(constB84)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB84) <=> (~((~v132(constB84)) | (~v139(constB84))))))),
% 17.06/12.27 inference(rewrite,[status(thm)],[])).
% 17.06/12.27 tff(29643,plain,
% 17.06/12.27 ((v138(constB84) <=> (~((~v139(constB84)) | (~v132(constB84))))) <=> (v138(constB84) <=> (~((~v132(constB84)) | (~v139(constB84)))))),
% 17.06/12.27 inference(rewrite,[status(thm)],[])).
% 17.06/12.27 tff(29644,plain,
% 17.06/12.27 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB84) <=> (~((~v139(constB84)) | (~v132(constB84)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB84) <=> (~((~v132(constB84)) | (~v139(constB84))))))),
% 17.06/12.27 inference(monotonicity,[status(thm)],[29643])).
% 17.06/12.27 tff(29645,plain,
% 17.06/12.27 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB84) <=> (~((~v139(constB84)) | (~v132(constB84)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB84) <=> (~((~v132(constB84)) | (~v139(constB84))))))),
% 17.06/12.27 inference(transitivity,[status(thm)],[29644, 29642])).
% 17.06/12.27 tff(29646,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB84) <=> (~((~v139(constB84)) | (~v132(constB84)))))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29647,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB84) <=> (~((~v132(constB84)) | (~v139(constB84)))))),
% 17.06/12.27 inference(modus_ponens,[status(thm)],[29646, 29645])).
% 17.06/12.27 tff(29648,plain,
% 17.06/12.27 (v138(constB84) <=> (~((~v132(constB84)) | (~v139(constB84))))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29647, 644])).
% 17.06/12.27 tff(29649,plain,
% 17.06/12.27 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB84) <=> v137(constB84))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29650,plain,
% 17.06/12.27 (v132(constB84) <=> v137(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29649, 558])).
% 17.06/12.27 tff(29651,plain,
% 17.06/12.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB83, constB84)) | (v137(constB84) <=> v135(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB83, constB84)) | (v137(constB84) <=> v135(constB83)))),
% 17.06/12.27 inference(rewrite,[status(thm)],[])).
% 17.06/12.27 tff(29652,plain,
% 17.06/12.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB83, constB84)) | (v137(constB84) <=> v135(constB83)))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29653,plain,
% 17.06/12.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB83, constB84)) | (v137(constB84) <=> v135(constB83))),
% 17.06/12.27 inference(modus_ponens,[status(thm)],[29652, 29651])).
% 17.06/12.27 tff(29654,plain,
% 17.06/12.27 (v137(constB84) <=> v135(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29653, 6860, 570])).
% 17.06/12.27 tff(29655,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB83) <=> (v138(constB83) | v142(constB83)))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29656,plain,
% 17.06/12.27 (v135(constB83) <=> (v138(constB83) | v142(constB83))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29655, 584])).
% 17.06/12.27 tff(29657,plain,
% 17.06/12.27 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB83) <=> (~((~v132(constB83)) | (~v139(constB83)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB83) <=> (~((~v132(constB83)) | (~v139(constB83))))))),
% 17.06/12.27 inference(rewrite,[status(thm)],[])).
% 17.06/12.27 tff(29658,plain,
% 17.06/12.27 ((v138(constB83) <=> (~((~v139(constB83)) | (~v132(constB83))))) <=> (v138(constB83) <=> (~((~v132(constB83)) | (~v139(constB83)))))),
% 17.06/12.27 inference(rewrite,[status(thm)],[])).
% 17.06/12.27 tff(29659,plain,
% 17.06/12.27 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB83) <=> (~((~v139(constB83)) | (~v132(constB83)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB83) <=> (~((~v132(constB83)) | (~v139(constB83))))))),
% 17.06/12.27 inference(monotonicity,[status(thm)],[29658])).
% 17.06/12.27 tff(29660,plain,
% 17.06/12.27 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB83) <=> (~((~v139(constB83)) | (~v132(constB83)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB83) <=> (~((~v132(constB83)) | (~v139(constB83))))))),
% 17.06/12.27 inference(transitivity,[status(thm)],[29659, 29657])).
% 17.06/12.27 tff(29661,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB83) <=> (~((~v139(constB83)) | (~v132(constB83)))))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29662,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB83) <=> (~((~v132(constB83)) | (~v139(constB83)))))),
% 17.06/12.27 inference(modus_ponens,[status(thm)],[29661, 29660])).
% 17.06/12.27 tff(29663,plain,
% 17.06/12.27 (v138(constB83) <=> (~((~v132(constB83)) | (~v139(constB83))))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29662, 644])).
% 17.06/12.27 tff(29664,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB83)) <=> v140(constB83))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29665,plain,
% 17.06/12.27 ((~v139(constB83)) <=> v140(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29664, 203])).
% 17.06/12.27 tff(29666,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB83) <=> (v141(constB83) | v26(constB83)))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29667,plain,
% 17.06/12.27 (v140(constB83) <=> (v141(constB83) | v26(constB83))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29666, 212])).
% 17.06/12.27 tff(29668,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB83) <=> (~((~v39(constB83)) | (~v9(constB83)))))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29669,plain,
% 17.06/12.27 (v141(constB83) <=> (~((~v39(constB83)) | (~v9(constB83))))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29668, 130])).
% 17.06/12.27 tff(29670,plain,
% 17.06/12.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB83, constB84)) | (v13(constB84) <=> v9(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB83, constB84)) | (v13(constB84) <=> v9(constB83)))),
% 17.06/12.27 inference(rewrite,[status(thm)],[])).
% 17.06/12.27 tff(29671,plain,
% 17.06/12.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB83, constB84)) | (v13(constB84) <=> v9(constB83)))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29672,plain,
% 17.06/12.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB83, constB84)) | (v13(constB84) <=> v9(constB83))),
% 17.06/12.27 inference(modus_ponens,[status(thm)],[29671, 29670])).
% 17.06/12.27 tff(29673,plain,
% 17.06/12.27 (v13(constB84) <=> v9(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29672, 6860, 226])).
% 17.06/12.27 tff(29674,plain,
% 17.06/12.27 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB84) <=> v13(constB84))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29675,plain,
% 17.06/12.27 (v6(constB84) <=> v13(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29674, 240])).
% 17.06/12.27 tff(29676,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB84)) <=> v6(constB84))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29677,plain,
% 17.06/12.27 ((~v21(constB84)) <=> v6(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29676, 249])).
% 17.06/12.27 tff(29678,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB84) <=> (v20(constB84) | v21(constB84)))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29679,plain,
% 17.06/12.27 (v19(constB84) <=> (v20(constB84) | v21(constB84))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29678, 258])).
% 17.06/12.27 tff(29680,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB84) <=> (~((~v19(constB84)) | (~v22(constB84)))))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29681,plain,
% 17.06/12.27 (v18(constB84) <=> (~((~v19(constB84)) | (~v22(constB84))))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29680, 270])).
% 17.06/12.27 tff(29682,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB84)) <=> v18(constB84))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29683,plain,
% 17.06/12.27 ((~v4(constB84)) <=> v18(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29682, 279])).
% 17.06/12.27 tff(29684,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB84)),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29685,plain,
% 17.06/12.27 (v4(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29684, 288])).
% 17.06/12.27 tff(29686,plain,
% 17.06/12.27 ((~((~v4(constB84)) <=> v18(constB84))) | (~v4(constB84)) | (~v18(constB84))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29687,plain,
% 17.06/12.27 (~v18(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29686, 29685, 29683])).
% 17.06/12.27 tff(29688,plain,
% 17.06/12.27 ((~(v18(constB84) <=> (~((~v19(constB84)) | (~v22(constB84)))))) | v18(constB84) | ((~v19(constB84)) | (~v22(constB84)))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29689,plain,
% 17.06/12.27 ((~v19(constB84)) | (~v22(constB84))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29688, 29687, 29681])).
% 17.06/12.27 tff(29690,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB84) <=> (v1(constB84) | v6(constB84)))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29691,plain,
% 17.06/12.27 (v22(constB84) <=> (v1(constB84) | v6(constB84))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29690, 301])).
% 17.06/12.27 tff(29692,plain,
% 17.06/12.27 ((v1(constB84) | v6(constB84)) | (~v1(constB84))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29693,plain,
% 17.06/12.27 (v1(constB84) | v6(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29692, 11370])).
% 17.06/12.27 tff(29694,plain,
% 17.06/12.27 ((~(v22(constB84) <=> (v1(constB84) | v6(constB84)))) | v22(constB84) | (~(v1(constB84) | v6(constB84)))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29695,plain,
% 17.06/12.27 ((~(v22(constB84) <=> (v1(constB84) | v6(constB84)))) | v22(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29694, 29693])).
% 17.06/12.27 tff(29696,plain,
% 17.06/12.27 (v22(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29695, 29691])).
% 17.06/12.27 tff(29697,plain,
% 17.06/12.27 ((~((~v19(constB84)) | (~v22(constB84)))) | (~v19(constB84)) | (~v22(constB84))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29698,plain,
% 17.06/12.27 ((~((~v19(constB84)) | (~v22(constB84)))) | (~v19(constB84))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29697, 29696])).
% 17.06/12.27 tff(29699,plain,
% 17.06/12.27 (~v19(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29698, 29689])).
% 17.06/12.27 tff(29700,plain,
% 17.06/12.27 ((~(v19(constB84) <=> (v20(constB84) | v21(constB84)))) | v19(constB84) | (~(v20(constB84) | v21(constB84)))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29701,plain,
% 17.06/12.27 (~(v20(constB84) | v21(constB84))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29700, 29699, 29679])).
% 17.06/12.27 tff(29702,plain,
% 17.06/12.27 ((v20(constB84) | v21(constB84)) | (~v21(constB84))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29703,plain,
% 17.06/12.27 (~v21(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29702, 29701])).
% 17.06/12.27 tff(29704,plain,
% 17.06/12.27 ((~((~v21(constB84)) <=> v6(constB84))) | v21(constB84) | v6(constB84)),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29705,plain,
% 17.06/12.27 (v6(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29704, 29703, 29677])).
% 17.06/12.27 tff(29706,plain,
% 17.06/12.27 ((~(v6(constB84) <=> v13(constB84))) | (~v6(constB84)) | v13(constB84)),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29707,plain,
% 17.06/12.27 (v13(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29706, 29705, 29675])).
% 17.06/12.27 tff(29708,plain,
% 17.06/12.27 ((~(v13(constB84) <=> v9(constB83))) | (~v13(constB84)) | v9(constB83)),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29709,plain,
% 17.06/12.27 (v9(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29708, 29707, 29673])).
% 17.06/12.27 tff(29710,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB83)) <=> v1(constB83))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29711,plain,
% 17.06/12.27 ((~v39(constB83)) <=> v1(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29710, 139])).
% 17.06/12.27 tff(29712,plain,
% 17.06/12.27 ((~((~v39(constB83)) <=> v1(constB83))) | v39(constB83) | v1(constB83)),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29713,plain,
% 17.06/12.27 ((~((~v39(constB83)) <=> v1(constB83))) | v39(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29712, 6904])).
% 17.06/12.27 tff(29714,plain,
% 17.06/12.27 (v39(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29713, 29711])).
% 17.06/12.27 tff(29715,plain,
% 17.06/12.27 ((~((~v39(constB83)) | (~v9(constB83)))) | (~v39(constB83)) | (~v9(constB83))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29716,plain,
% 17.06/12.27 ((~((~v39(constB83)) | (~v9(constB83)))) | (~v9(constB83))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29715, 29714])).
% 17.06/12.27 tff(29717,plain,
% 17.06/12.27 (~((~v39(constB83)) | (~v9(constB83)))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29716, 29709])).
% 17.06/12.27 tff(29718,plain,
% 17.06/12.27 ((~(v141(constB83) <=> (~((~v39(constB83)) | (~v9(constB83)))))) | v141(constB83) | ((~v39(constB83)) | (~v9(constB83)))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29719,plain,
% 17.06/12.27 (v141(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29718, 29717, 29669])).
% 17.06/12.27 tff(29720,plain,
% 17.06/12.27 ((v141(constB83) | v26(constB83)) | (~v141(constB83))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29721,plain,
% 17.06/12.27 (v141(constB83) | v26(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29720, 29719])).
% 17.06/12.27 tff(29722,plain,
% 17.06/12.27 ((~(v140(constB83) <=> (v141(constB83) | v26(constB83)))) | v140(constB83) | (~(v141(constB83) | v26(constB83)))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29723,plain,
% 17.06/12.27 (v140(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29722, 29721, 29667])).
% 17.06/12.27 tff(29724,plain,
% 17.06/12.27 ((~((~v139(constB83)) <=> v140(constB83))) | (~v139(constB83)) | (~v140(constB83))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29725,plain,
% 17.06/12.27 (~v139(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29724, 29723, 29665])).
% 17.06/12.27 tff(29726,plain,
% 17.06/12.27 (((~v132(constB83)) | (~v139(constB83))) | v139(constB83)),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29727,plain,
% 17.06/12.27 ((~v132(constB83)) | (~v139(constB83))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29726, 29725])).
% 17.06/12.27 tff(29728,plain,
% 17.06/12.27 ((~(v138(constB83) <=> (~((~v132(constB83)) | (~v139(constB83)))))) | (~v138(constB83)) | (~((~v132(constB83)) | (~v139(constB83))))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29729,plain,
% 17.06/12.27 (~v138(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29728, 29727, 29663])).
% 17.06/12.27 tff(29730,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB83) <=> (~((~v143(constB83)) | (~v144(constB83)))))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29731,plain,
% 17.06/12.27 (v142(constB83) <=> (~((~v143(constB83)) | (~v144(constB83))))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29730, 596])).
% 17.06/12.27 tff(29732,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB83) <=> (~((~v141(constB83)) | (~v145(constB83)))))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29733,plain,
% 17.06/12.27 (v144(constB83) <=> (~((~v141(constB83)) | (~v145(constB83))))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29732, 608])).
% 17.06/12.27 tff(29734,plain,
% 17.06/12.27 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0)))))),
% 17.06/12.27 inference(quant_inst,[status(thm)],[])).
% 17.06/12.27 tff(29735,plain,
% 17.06/12.27 (v145(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0))))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29734, 755])).
% 17.06/12.27 tff(29736,plain,
% 17.06/12.27 ((v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0))) | v84(constB83, 0)),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29737,plain,
% 17.06/12.27 (v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29736, 11310])).
% 17.06/12.27 tff(29738,plain,
% 17.06/12.27 ((~(v145(constB83) <=> (~(v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0)))))) | (~v145(constB83)) | (~(v84(constB83, 1) | v84(constB83, 2) | (~v84(constB83, 0))))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29739,plain,
% 17.06/12.27 (~v145(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29738, 29737, 29735])).
% 17.06/12.27 tff(29740,plain,
% 17.06/12.27 (((~v141(constB83)) | (~v145(constB83))) | v145(constB83)),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29741,plain,
% 17.06/12.27 ((~v141(constB83)) | (~v145(constB83))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29740, 29739])).
% 17.06/12.27 tff(29742,plain,
% 17.06/12.27 ((~(v144(constB83) <=> (~((~v141(constB83)) | (~v145(constB83)))))) | (~v144(constB83)) | (~((~v141(constB83)) | (~v145(constB83))))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29743,plain,
% 17.06/12.27 (~v144(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29742, 29741, 29733])).
% 17.06/12.27 tff(29744,plain,
% 17.06/12.27 (((~v143(constB83)) | (~v144(constB83))) | v144(constB83)),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29745,plain,
% 17.06/12.27 ((~v143(constB83)) | (~v144(constB83))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29744, 29743])).
% 17.06/12.27 tff(29746,plain,
% 17.06/12.27 ((~(v142(constB83) <=> (~((~v143(constB83)) | (~v144(constB83)))))) | (~v142(constB83)) | (~((~v143(constB83)) | (~v144(constB83))))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29747,plain,
% 17.06/12.27 (~v142(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29746, 29745, 29731])).
% 17.06/12.27 tff(29748,plain,
% 17.06/12.27 ((~(v138(constB83) | v142(constB83))) | v138(constB83) | v142(constB83)),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29749,plain,
% 17.06/12.27 (~(v138(constB83) | v142(constB83))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29748, 29747, 29729])).
% 17.06/12.27 tff(29750,plain,
% 17.06/12.27 ((~(v135(constB83) <=> (v138(constB83) | v142(constB83)))) | (~v135(constB83)) | (v138(constB83) | v142(constB83))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29751,plain,
% 17.06/12.27 (~v135(constB83)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29750, 29749, 29656])).
% 17.06/12.27 tff(29752,plain,
% 17.06/12.27 ((~(v137(constB84) <=> v135(constB83))) | (~v137(constB84)) | v135(constB83)),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29753,plain,
% 17.06/12.27 (~v137(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29752, 29751, 29654])).
% 17.06/12.27 tff(29754,plain,
% 17.06/12.27 ((~(v132(constB84) <=> v137(constB84))) | (~v132(constB84)) | v137(constB84)),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29755,plain,
% 17.06/12.27 (~v132(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29754, 29753, 29650])).
% 17.06/12.27 tff(29756,plain,
% 17.06/12.27 (((~v132(constB84)) | (~v139(constB84))) | v132(constB84)),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29757,plain,
% 17.06/12.27 ((~v132(constB84)) | (~v139(constB84))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29756, 29755])).
% 17.06/12.27 tff(29758,plain,
% 17.06/12.27 ((~(v138(constB84) <=> (~((~v132(constB84)) | (~v139(constB84)))))) | (~v138(constB84)) | (~((~v132(constB84)) | (~v139(constB84))))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29759,plain,
% 17.06/12.27 (~v138(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29758, 29757, 29648])).
% 17.06/12.27 tff(29760,plain,
% 17.06/12.27 ((~(v138(constB84) | v142(constB84))) | v138(constB84) | v142(constB84)),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29761,plain,
% 17.06/12.27 (~(v138(constB84) | v142(constB84))),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29760, 29759, 29641])).
% 17.06/12.27 tff(29762,plain,
% 17.06/12.27 ((~(v135(constB84) <=> (v138(constB84) | v142(constB84)))) | (~v135(constB84)) | (v138(constB84) | v142(constB84))),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.06/12.27 tff(29763,plain,
% 17.06/12.27 (~v135(constB84)),
% 17.06/12.27 inference(unit_resolution,[status(thm)],[29762, 29761, 29616])).
% 17.06/12.27 tff(29764,plain,
% 17.06/12.27 ((~(v137(constB85) <=> v135(constB84))) | (~v137(constB85)) | v135(constB84)),
% 17.06/12.27 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29765,plain,
% 17.14/12.28 (~v137(constB85)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29764, 29763, 29614])).
% 17.14/12.28 tff(29766,plain,
% 17.14/12.28 ((~(v132(constB85) <=> v137(constB85))) | (~v132(constB85)) | v137(constB85)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29767,plain,
% 17.14/12.28 (~v132(constB85)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29766, 29765, 29610])).
% 17.14/12.28 tff(29768,plain,
% 17.14/12.28 (((~v132(constB85)) | (~v155(constB85))) | v132(constB85)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29769,plain,
% 17.14/12.28 ((~v132(constB85)) | (~v155(constB85))),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29768, 29767])).
% 17.14/12.28 tff(29770,plain,
% 17.14/12.28 ((~(v154(constB85) <=> (~((~v132(constB85)) | (~v155(constB85)))))) | (~v154(constB85)) | (~((~v132(constB85)) | (~v155(constB85))))),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29771,plain,
% 17.14/12.28 (~v154(constB85)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29770, 29769, 29608])).
% 17.14/12.28 tff(29772,plain,
% 17.14/12.28 ((~(v153(constB85) | v154(constB85))) | v153(constB85) | v154(constB85)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29773,plain,
% 17.14/12.28 (~(v153(constB85) | v154(constB85))),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29772, 29771, 29601])).
% 17.14/12.28 tff(29774,plain,
% 17.14/12.28 ((~(v150(constB85) <=> (v153(constB85) | v154(constB85)))) | (~v150(constB85)) | (v153(constB85) | v154(constB85))),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29775,plain,
% 17.14/12.28 (~v150(constB85)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29774, 29773, 29528])).
% 17.14/12.28 tff(29776,plain,
% 17.14/12.28 ((~(v152(constB86) <=> v150(constB85))) | (~v152(constB86)) | v150(constB85)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29777,plain,
% 17.14/12.28 (~v152(constB86)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29776, 29775, 29526])).
% 17.14/12.28 tff(29778,plain,
% 17.14/12.28 ((~(v130(constB86) <=> v152(constB86))) | (~v130(constB86)) | v152(constB86)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29779,plain,
% 17.14/12.28 (~v130(constB86)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29778, 29777, 29522])).
% 17.14/12.28 tff(29780,plain,
% 17.14/12.28 (((~v130(constB86)) | (~v139(constB86))) | v130(constB86)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29781,plain,
% 17.14/12.28 ((~v130(constB86)) | (~v139(constB86))),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29780, 29779])).
% 17.14/12.28 tff(29782,plain,
% 17.14/12.28 ((~(v153(constB86) <=> (~((~v130(constB86)) | (~v139(constB86)))))) | (~v153(constB86)) | (~((~v130(constB86)) | (~v139(constB86))))),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29783,plain,
% 17.14/12.28 (~v153(constB86)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29782, 29781, 29520])).
% 17.14/12.28 tff(29784,plain,
% 17.14/12.28 ((~(v153(constB86) | v154(constB86))) | v153(constB86) | v154(constB86)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29785,plain,
% 17.14/12.28 (~(v153(constB86) | v154(constB86))),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29784, 29783, 29513])).
% 17.14/12.28 tff(29786,plain,
% 17.14/12.28 ((~(v150(constB86) <=> (v153(constB86) | v154(constB86)))) | (~v150(constB86)) | (v153(constB86) | v154(constB86))),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29787,plain,
% 17.14/12.28 (~v150(constB86)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29786, 29785, 29478])).
% 17.14/12.28 tff(29788,plain,
% 17.14/12.28 ((~(v152(constB87) <=> v150(constB86))) | (~v152(constB87)) | v150(constB86)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29789,plain,
% 17.14/12.28 (~v152(constB87)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29788, 29787, 29476])).
% 17.14/12.28 tff(29790,plain,
% 17.14/12.28 ((~(v130(constB87) <=> v152(constB87))) | (~v130(constB87)) | v152(constB87)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29791,plain,
% 17.14/12.28 (~v130(constB87)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29790, 29789, 29472])).
% 17.14/12.28 tff(29792,plain,
% 17.14/12.28 (((~v130(constB87)) | (~v155(constB87))) | v130(constB87)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29793,plain,
% 17.14/12.28 ((~v130(constB87)) | (~v155(constB87))),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29792, 29791])).
% 17.14/12.28 tff(29794,plain,
% 17.14/12.28 ((~(v164(constB87) <=> (~((~v130(constB87)) | (~v155(constB87)))))) | (~v164(constB87)) | (~((~v130(constB87)) | (~v155(constB87))))),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29795,plain,
% 17.14/12.28 (~v164(constB87)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29794, 29793, 29470])).
% 17.14/12.28 tff(29796,plain,
% 17.14/12.28 ((~(v163(constB87) | v164(constB87))) | v163(constB87) | v164(constB87)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29797,plain,
% 17.14/12.28 (~(v163(constB87) | v164(constB87))),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29796, 29795, 29463])).
% 17.14/12.28 tff(29798,plain,
% 17.14/12.28 ((~(v160(constB87) <=> (v163(constB87) | v164(constB87)))) | (~v160(constB87)) | (v163(constB87) | v164(constB87))),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29799,plain,
% 17.14/12.28 (~v160(constB87)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29798, 29797, 29390])).
% 17.14/12.28 tff(29800,plain,
% 17.14/12.28 ((~(v162(constB88) <=> v160(constB87))) | (~v162(constB88)) | v160(constB87)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29801,plain,
% 17.14/12.28 (~v162(constB88)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29800, 29799, 29388])).
% 17.14/12.28 tff(29802,plain,
% 17.14/12.28 ((~(v128(constB88) <=> v162(constB88))) | (~v128(constB88)) | v162(constB88)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29803,plain,
% 17.14/12.28 (~v128(constB88)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29802, 29801, 29384])).
% 17.14/12.28 tff(29804,plain,
% 17.14/12.28 (((~v128(constB88)) | (~v139(constB88))) | v128(constB88)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29805,plain,
% 17.14/12.28 ((~v128(constB88)) | (~v139(constB88))),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29804, 29803])).
% 17.14/12.28 tff(29806,plain,
% 17.14/12.28 ((~(v163(constB88) <=> (~((~v128(constB88)) | (~v139(constB88)))))) | (~v163(constB88)) | (~((~v128(constB88)) | (~v139(constB88))))),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29807,plain,
% 17.14/12.28 (~v163(constB88)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29806, 29805, 29382])).
% 17.14/12.28 tff(29808,plain,
% 17.14/12.28 ((~(v163(constB88) | v164(constB88))) | v163(constB88) | v164(constB88)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29809,plain,
% 17.14/12.28 (~(v163(constB88) | v164(constB88))),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29808, 29807, 29375])).
% 17.14/12.28 tff(29810,plain,
% 17.14/12.28 ((~(v160(constB88) <=> (v163(constB88) | v164(constB88)))) | (~v160(constB88)) | (v163(constB88) | v164(constB88))),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29811,plain,
% 17.14/12.28 (~v160(constB88)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29810, 29809, 29340])).
% 17.14/12.28 tff(29812,plain,
% 17.14/12.28 ((~(v162(constB89) <=> v160(constB88))) | (~v162(constB89)) | v160(constB88)),
% 17.14/12.28 inference(tautology,[status(thm)],[])).
% 17.14/12.28 tff(29813,plain,
% 17.14/12.28 (~v162(constB89)),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29812, 29811, 29338])).
% 17.14/12.28 tff(29814,plain,
% 17.14/12.28 ($false),
% 17.14/12.28 inference(unit_resolution,[status(thm)],[29813, 29334])).
% 17.14/12.28 tff(29815,plain,(~(constB89 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.14/12.28 tff(29816,assumption,(constB19 = VarCurr!0), introduced(assumption)).
% 17.14/12.28 tff(29817,plain,
% 17.14/12.28 (v162(constB19) <=> v162(VarCurr!0)),
% 17.14/12.28 inference(monotonicity,[status(thm)],[29816])).
% 17.14/12.28 tff(29818,plain,
% 17.14/12.28 (v162(VarCurr!0) <=> v162(constB19)),
% 17.14/12.28 inference(symmetry,[status(thm)],[29817])).
% 17.14/12.28 tff(29819,plain,
% 17.14/12.28 (v162(constB19)),
% 17.14/12.28 inference(modus_ponens,[status(thm)],[59, 29818])).
% 17.14/12.28 tff(29820,plain,
% 17.14/12.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB18, constB19)) | (v162(constB19) <=> v160(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB18, constB19)) | (v162(constB19) <=> v160(constB18)))),
% 17.14/12.28 inference(rewrite,[status(thm)],[])).
% 17.14/12.28 tff(29821,plain,
% 17.14/12.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB18, constB19)) | (v162(constB19) <=> v160(constB18)))),
% 17.14/12.28 inference(quant_inst,[status(thm)],[])).
% 17.14/12.28 tff(29822,plain,
% 17.14/12.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB18, constB19)) | (v162(constB19) <=> v160(constB18))),
% 17.14/12.28 inference(modus_ponens,[status(thm)],[29821, 29820])).
% 17.14/12.28 tff(29823,plain,
% 17.14/12.28 (v162(constB19) <=> v160(constB18)),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29822, 1664, 70])).
% 17.15/12.28 tff(29824,plain,
% 17.15/12.28 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB18) <=> (v163(constB18) | v164(constB18)))),
% 17.15/12.28 inference(quant_inst,[status(thm)],[])).
% 17.15/12.28 tff(29825,plain,
% 17.15/12.28 (v160(constB18) <=> (v163(constB18) | v164(constB18))),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29824, 84])).
% 17.15/12.28 tff(29826,plain,
% 17.15/12.28 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB18) <=> (~((~v130(constB18)) | (~v155(constB18)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB18) <=> (~((~v130(constB18)) | (~v155(constB18))))))),
% 17.15/12.28 inference(rewrite,[status(thm)],[])).
% 17.15/12.28 tff(29827,plain,
% 17.15/12.28 ((v164(constB18) <=> (~((~v155(constB18)) | (~v130(constB18))))) <=> (v164(constB18) <=> (~((~v130(constB18)) | (~v155(constB18)))))),
% 17.15/12.28 inference(rewrite,[status(thm)],[])).
% 17.15/12.28 tff(29828,plain,
% 17.15/12.28 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB18) <=> (~((~v155(constB18)) | (~v130(constB18)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB18) <=> (~((~v130(constB18)) | (~v155(constB18))))))),
% 17.15/12.28 inference(monotonicity,[status(thm)],[29827])).
% 17.15/12.28 tff(29829,plain,
% 17.15/12.28 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB18) <=> (~((~v155(constB18)) | (~v130(constB18)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB18) <=> (~((~v130(constB18)) | (~v155(constB18))))))),
% 17.15/12.28 inference(transitivity,[status(thm)],[29828, 29826])).
% 17.15/12.28 tff(29830,plain,
% 17.15/12.28 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB18) <=> (~((~v155(constB18)) | (~v130(constB18)))))),
% 17.15/12.28 inference(quant_inst,[status(thm)],[])).
% 17.15/12.28 tff(29831,plain,
% 17.15/12.28 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB18) <=> (~((~v130(constB18)) | (~v155(constB18)))))),
% 17.15/12.28 inference(modus_ponens,[status(thm)],[29830, 29829])).
% 17.15/12.28 tff(29832,plain,
% 17.15/12.28 (v164(constB18) <=> (~((~v130(constB18)) | (~v155(constB18))))),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29831, 96])).
% 17.15/12.28 tff(29833,plain,
% 17.15/12.28 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB18) <=> (~((~v141(constB18)) | (~v143(constB18)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB18) <=> (~((~v141(constB18)) | (~v143(constB18))))))),
% 17.15/12.28 inference(rewrite,[status(thm)],[])).
% 17.15/12.28 tff(29834,plain,
% 17.15/12.28 ((v155(constB18) <=> (~((~v143(constB18)) | (~v141(constB18))))) <=> (v155(constB18) <=> (~((~v141(constB18)) | (~v143(constB18)))))),
% 17.15/12.28 inference(rewrite,[status(thm)],[])).
% 17.15/12.28 tff(29835,plain,
% 17.15/12.28 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB18) <=> (~((~v143(constB18)) | (~v141(constB18)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB18) <=> (~((~v141(constB18)) | (~v143(constB18))))))),
% 17.15/12.28 inference(monotonicity,[status(thm)],[29834])).
% 17.15/12.28 tff(29836,plain,
% 17.15/12.28 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB18) <=> (~((~v143(constB18)) | (~v141(constB18)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB18) <=> (~((~v141(constB18)) | (~v143(constB18))))))),
% 17.15/12.28 inference(transitivity,[status(thm)],[29835, 29833])).
% 17.15/12.28 tff(29837,plain,
% 17.15/12.28 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB18) <=> (~((~v143(constB18)) | (~v141(constB18)))))),
% 17.15/12.28 inference(quant_inst,[status(thm)],[])).
% 17.15/12.28 tff(29838,plain,
% 17.15/12.28 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB18) <=> (~((~v141(constB18)) | (~v143(constB18)))))),
% 17.15/12.28 inference(modus_ponens,[status(thm)],[29837, 29836])).
% 17.15/12.28 tff(29839,plain,
% 17.15/12.28 (v155(constB18) <=> (~((~v141(constB18)) | (~v143(constB18))))),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29838, 113])).
% 17.15/12.28 tff(29840,plain,
% 17.15/12.28 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB18) <=> (~((~v39(constB18)) | (~v9(constB18)))))),
% 17.15/12.28 inference(quant_inst,[status(thm)],[])).
% 17.15/12.28 tff(29841,plain,
% 17.15/12.28 (v141(constB18) <=> (~((~v39(constB18)) | (~v9(constB18))))),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29840, 130])).
% 17.15/12.28 tff(29842,plain,
% 17.15/12.28 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB18)) <=> v1(constB18))),
% 17.15/12.28 inference(quant_inst,[status(thm)],[])).
% 17.15/12.28 tff(29843,plain,
% 17.15/12.28 ((~v39(constB18)) <=> v1(constB18)),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29842, 139])).
% 17.15/12.28 tff(29844,plain,
% 17.15/12.28 ((~((~v39(constB18)) <=> v1(constB18))) | (~v39(constB18)) | (~v1(constB18))),
% 17.15/12.28 inference(tautology,[status(thm)],[])).
% 17.15/12.28 tff(29845,plain,
% 17.15/12.28 ((~((~v39(constB18)) <=> v1(constB18))) | (~v39(constB18))),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29844, 3824])).
% 17.15/12.28 tff(29846,plain,
% 17.15/12.28 (~v39(constB18)),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29845, 29843])).
% 17.15/12.28 tff(29847,plain,
% 17.15/12.28 (((~v39(constB18)) | (~v9(constB18))) | v39(constB18)),
% 17.15/12.28 inference(tautology,[status(thm)],[])).
% 17.15/12.28 tff(29848,plain,
% 17.15/12.28 ((~v39(constB18)) | (~v9(constB18))),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29847, 29846])).
% 17.15/12.28 tff(29849,plain,
% 17.15/12.28 ((~(v141(constB18) <=> (~((~v39(constB18)) | (~v9(constB18)))))) | (~v141(constB18)) | (~((~v39(constB18)) | (~v9(constB18))))),
% 17.15/12.28 inference(tautology,[status(thm)],[])).
% 17.15/12.28 tff(29850,plain,
% 17.15/12.28 ((~(v141(constB18) <=> (~((~v39(constB18)) | (~v9(constB18)))))) | (~v141(constB18))),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29849, 29848])).
% 17.15/12.28 tff(29851,plain,
% 17.15/12.28 (~v141(constB18)),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29850, 29841])).
% 17.15/12.28 tff(29852,plain,
% 17.15/12.28 (((~v141(constB18)) | (~v143(constB18))) | v141(constB18)),
% 17.15/12.28 inference(tautology,[status(thm)],[])).
% 17.15/12.28 tff(29853,plain,
% 17.15/12.28 ((~v141(constB18)) | (~v143(constB18))),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29852, 29851])).
% 17.15/12.28 tff(29854,plain,
% 17.15/12.28 ((~(v155(constB18) <=> (~((~v141(constB18)) | (~v143(constB18)))))) | (~v155(constB18)) | (~((~v141(constB18)) | (~v143(constB18))))),
% 17.15/12.28 inference(tautology,[status(thm)],[])).
% 17.15/12.28 tff(29855,plain,
% 17.15/12.28 ((~(v155(constB18) <=> (~((~v141(constB18)) | (~v143(constB18)))))) | (~v155(constB18))),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29854, 29853])).
% 17.15/12.28 tff(29856,plain,
% 17.15/12.28 (~v155(constB18)),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29855, 29839])).
% 17.15/12.28 tff(29857,plain,
% 17.15/12.28 (((~v130(constB18)) | (~v155(constB18))) | v155(constB18)),
% 17.15/12.28 inference(tautology,[status(thm)],[])).
% 17.15/12.28 tff(29858,plain,
% 17.15/12.28 ((~v130(constB18)) | (~v155(constB18))),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29857, 29856])).
% 17.15/12.28 tff(29859,plain,
% 17.15/12.28 ((~(v164(constB18) <=> (~((~v130(constB18)) | (~v155(constB18)))))) | (~v164(constB18)) | (~((~v130(constB18)) | (~v155(constB18))))),
% 17.15/12.28 inference(tautology,[status(thm)],[])).
% 17.15/12.28 tff(29860,plain,
% 17.15/12.28 (~v164(constB18)),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29859, 29858, 29832])).
% 17.15/12.28 tff(29861,plain,
% 17.15/12.28 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB18) <=> (~((~v128(constB18)) | (~v139(constB18)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB18) <=> (~((~v128(constB18)) | (~v139(constB18))))))),
% 17.15/12.28 inference(rewrite,[status(thm)],[])).
% 17.15/12.28 tff(29862,plain,
% 17.15/12.28 ((v163(constB18) <=> (~((~v139(constB18)) | (~v128(constB18))))) <=> (v163(constB18) <=> (~((~v128(constB18)) | (~v139(constB18)))))),
% 17.15/12.28 inference(rewrite,[status(thm)],[])).
% 17.15/12.28 tff(29863,plain,
% 17.15/12.28 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB18) <=> (~((~v139(constB18)) | (~v128(constB18)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB18) <=> (~((~v128(constB18)) | (~v139(constB18))))))),
% 17.15/12.28 inference(monotonicity,[status(thm)],[29862])).
% 17.15/12.28 tff(29864,plain,
% 17.15/12.28 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB18) <=> (~((~v139(constB18)) | (~v128(constB18)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB18) <=> (~((~v128(constB18)) | (~v139(constB18))))))),
% 17.15/12.28 inference(transitivity,[status(thm)],[29863, 29861])).
% 17.15/12.28 tff(29865,plain,
% 17.15/12.28 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB18) <=> (~((~v139(constB18)) | (~v128(constB18)))))),
% 17.15/12.28 inference(quant_inst,[status(thm)],[])).
% 17.15/12.28 tff(29866,plain,
% 17.15/12.28 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB18) <=> (~((~v128(constB18)) | (~v139(constB18)))))),
% 17.15/12.28 inference(modus_ponens,[status(thm)],[29865, 29864])).
% 17.15/12.28 tff(29867,plain,
% 17.15/12.28 (v163(constB18) <=> (~((~v128(constB18)) | (~v139(constB18))))),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29866, 171])).
% 17.15/12.28 tff(29868,plain,
% 17.15/12.28 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB18) <=> v162(constB18))),
% 17.15/12.28 inference(quant_inst,[status(thm)],[])).
% 17.15/12.28 tff(29869,plain,
% 17.15/12.28 (v128(constB18) <=> v162(constB18)),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29868, 13])).
% 17.15/12.28 tff(29870,plain,
% 17.15/12.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB17, constB18)) | (v162(constB18) <=> v160(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB17, constB18)) | (v162(constB18) <=> v160(constB17)))),
% 17.15/12.28 inference(rewrite,[status(thm)],[])).
% 17.15/12.28 tff(29871,plain,
% 17.15/12.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB17, constB18)) | (v162(constB18) <=> v160(constB17)))),
% 17.15/12.28 inference(quant_inst,[status(thm)],[])).
% 17.15/12.28 tff(29872,plain,
% 17.15/12.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB17, constB18)) | (v162(constB18) <=> v160(constB17))),
% 17.15/12.28 inference(modus_ponens,[status(thm)],[29871, 29870])).
% 17.15/12.28 tff(29873,plain,
% 17.15/12.28 (v162(constB18) <=> v160(constB17)),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29872, 1700, 70])).
% 17.15/12.28 tff(29874,plain,
% 17.15/12.28 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB17) <=> (v163(constB17) | v164(constB17)))),
% 17.15/12.28 inference(quant_inst,[status(thm)],[])).
% 17.15/12.28 tff(29875,plain,
% 17.15/12.28 (v160(constB17) <=> (v163(constB17) | v164(constB17))),
% 17.15/12.28 inference(unit_resolution,[status(thm)],[29874, 84])).
% 17.15/12.28 tff(29876,plain,
% 17.15/12.28 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB17) <=> (~((~v128(constB17)) | (~v139(constB17)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB17) <=> (~((~v128(constB17)) | (~v139(constB17))))))),
% 17.15/12.28 inference(rewrite,[status(thm)],[])).
% 17.15/12.28 tff(29877,plain,
% 17.15/12.28 ((v163(constB17) <=> (~((~v139(constB17)) | (~v128(constB17))))) <=> (v163(constB17) <=> (~((~v128(constB17)) | (~v139(constB17)))))),
% 17.15/12.28 inference(rewrite,[status(thm)],[])).
% 17.15/12.28 tff(29878,plain,
% 17.15/12.28 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB17) <=> (~((~v139(constB17)) | (~v128(constB17)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB17) <=> (~((~v128(constB17)) | (~v139(constB17))))))),
% 17.15/12.28 inference(monotonicity,[status(thm)],[29877])).
% 17.15/12.28 tff(29879,plain,
% 17.15/12.28 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB17) <=> (~((~v139(constB17)) | (~v128(constB17)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB17) <=> (~((~v128(constB17)) | (~v139(constB17))))))),
% 17.15/12.29 inference(transitivity,[status(thm)],[29878, 29876])).
% 17.15/12.29 tff(29880,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB17) <=> (~((~v139(constB17)) | (~v128(constB17)))))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29881,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB17) <=> (~((~v128(constB17)) | (~v139(constB17)))))),
% 17.15/12.29 inference(modus_ponens,[status(thm)],[29880, 29879])).
% 17.15/12.29 tff(29882,plain,
% 17.15/12.29 (v163(constB17) <=> (~((~v128(constB17)) | (~v139(constB17))))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29881, 171])).
% 17.15/12.29 tff(29883,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB17)) <=> v140(constB17))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29884,plain,
% 17.15/12.29 ((~v139(constB17)) <=> v140(constB17)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29883, 203])).
% 17.15/12.29 tff(29885,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB17) <=> (v141(constB17) | v26(constB17)))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29886,plain,
% 17.15/12.29 (v140(constB17) <=> (v141(constB17) | v26(constB17))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29885, 212])).
% 17.15/12.29 tff(29887,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB17) <=> (~((~v39(constB17)) | (~v9(constB17)))))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29888,plain,
% 17.15/12.29 (v141(constB17) <=> (~((~v39(constB17)) | (~v9(constB17))))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29887, 130])).
% 17.15/12.29 tff(29889,plain,
% 17.15/12.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB17, constB18)) | (v13(constB18) <=> v9(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB17, constB18)) | (v13(constB18) <=> v9(constB17)))),
% 17.15/12.29 inference(rewrite,[status(thm)],[])).
% 17.15/12.29 tff(29890,plain,
% 17.15/12.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB17, constB18)) | (v13(constB18) <=> v9(constB17)))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29891,plain,
% 17.15/12.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB17, constB18)) | (v13(constB18) <=> v9(constB17))),
% 17.15/12.29 inference(modus_ponens,[status(thm)],[29890, 29889])).
% 17.15/12.29 tff(29892,plain,
% 17.15/12.29 (v13(constB18) <=> v9(constB17)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29891, 1700, 226])).
% 17.15/12.29 tff(29893,plain,
% 17.15/12.29 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB18) <=> v13(constB18))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29894,plain,
% 17.15/12.29 (v6(constB18) <=> v13(constB18)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29893, 240])).
% 17.15/12.29 tff(29895,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB18)) <=> v6(constB18))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29896,plain,
% 17.15/12.29 ((~v21(constB18)) <=> v6(constB18)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29895, 249])).
% 17.15/12.29 tff(29897,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB18) <=> (v20(constB18) | v21(constB18)))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29898,plain,
% 17.15/12.29 (v19(constB18) <=> (v20(constB18) | v21(constB18))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29897, 258])).
% 17.15/12.29 tff(29899,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB18) <=> (~((~v19(constB18)) | (~v22(constB18)))))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29900,plain,
% 17.15/12.29 (v18(constB18) <=> (~((~v19(constB18)) | (~v22(constB18))))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29899, 270])).
% 17.15/12.29 tff(29901,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB18)) <=> v18(constB18))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29902,plain,
% 17.15/12.29 ((~v4(constB18)) <=> v18(constB18)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29901, 279])).
% 17.15/12.29 tff(29903,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB18)),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29904,plain,
% 17.15/12.29 (v4(constB18)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29903, 288])).
% 17.15/12.29 tff(29905,plain,
% 17.15/12.29 ((~((~v4(constB18)) <=> v18(constB18))) | (~v4(constB18)) | (~v18(constB18))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29906,plain,
% 17.15/12.29 (~v18(constB18)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29905, 29904, 29902])).
% 17.15/12.29 tff(29907,plain,
% 17.15/12.29 ((~(v18(constB18) <=> (~((~v19(constB18)) | (~v22(constB18)))))) | v18(constB18) | ((~v19(constB18)) | (~v22(constB18)))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29908,plain,
% 17.15/12.29 ((~v19(constB18)) | (~v22(constB18))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29907, 29906, 29900])).
% 17.15/12.29 tff(29909,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB18) <=> (v1(constB18) | v6(constB18)))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29910,plain,
% 17.15/12.29 (v22(constB18) <=> (v1(constB18) | v6(constB18))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29909, 301])).
% 17.15/12.29 tff(29911,plain,
% 17.15/12.29 ((v1(constB18) | v6(constB18)) | (~v1(constB18))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29912,plain,
% 17.15/12.29 (v1(constB18) | v6(constB18)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29911, 3824])).
% 17.15/12.29 tff(29913,plain,
% 17.15/12.29 ((~(v22(constB18) <=> (v1(constB18) | v6(constB18)))) | v22(constB18) | (~(v1(constB18) | v6(constB18)))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29914,plain,
% 17.15/12.29 ((~(v22(constB18) <=> (v1(constB18) | v6(constB18)))) | v22(constB18)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29913, 29912])).
% 17.15/12.29 tff(29915,plain,
% 17.15/12.29 (v22(constB18)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29914, 29910])).
% 17.15/12.29 tff(29916,plain,
% 17.15/12.29 ((~((~v19(constB18)) | (~v22(constB18)))) | (~v19(constB18)) | (~v22(constB18))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29917,plain,
% 17.15/12.29 ((~((~v19(constB18)) | (~v22(constB18)))) | (~v19(constB18))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29916, 29915])).
% 17.15/12.29 tff(29918,plain,
% 17.15/12.29 (~v19(constB18)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29917, 29908])).
% 17.15/12.29 tff(29919,plain,
% 17.15/12.29 ((~(v19(constB18) <=> (v20(constB18) | v21(constB18)))) | v19(constB18) | (~(v20(constB18) | v21(constB18)))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29920,plain,
% 17.15/12.29 (~(v20(constB18) | v21(constB18))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29919, 29918, 29898])).
% 17.15/12.29 tff(29921,plain,
% 17.15/12.29 ((v20(constB18) | v21(constB18)) | (~v21(constB18))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29922,plain,
% 17.15/12.29 (~v21(constB18)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29921, 29920])).
% 17.15/12.29 tff(29923,plain,
% 17.15/12.29 ((~((~v21(constB18)) <=> v6(constB18))) | v21(constB18) | v6(constB18)),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29924,plain,
% 17.15/12.29 (v6(constB18)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29923, 29922, 29896])).
% 17.15/12.29 tff(29925,plain,
% 17.15/12.29 ((~(v6(constB18) <=> v13(constB18))) | (~v6(constB18)) | v13(constB18)),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29926,plain,
% 17.15/12.29 (v13(constB18)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29925, 29924, 29894])).
% 17.15/12.29 tff(29927,plain,
% 17.15/12.29 ((~(v13(constB18) <=> v9(constB17))) | (~v13(constB18)) | v9(constB17)),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29928,plain,
% 17.15/12.29 (v9(constB17)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29927, 29926, 29892])).
% 17.15/12.29 tff(29929,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB17)) <=> v1(constB17))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29930,plain,
% 17.15/12.29 ((~v39(constB17)) <=> v1(constB17)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29929, 139])).
% 17.15/12.29 tff(29931,plain,
% 17.15/12.29 ((~((~v39(constB17)) <=> v1(constB17))) | v39(constB17) | v1(constB17)),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29932,plain,
% 17.15/12.29 ((~((~v39(constB17)) <=> v1(constB17))) | v39(constB17)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29931, 1739])).
% 17.15/12.29 tff(29933,plain,
% 17.15/12.29 (v39(constB17)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29932, 29930])).
% 17.15/12.29 tff(29934,plain,
% 17.15/12.29 ((~((~v39(constB17)) | (~v9(constB17)))) | (~v39(constB17)) | (~v9(constB17))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29935,plain,
% 17.15/12.29 ((~((~v39(constB17)) | (~v9(constB17)))) | (~v9(constB17))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29934, 29933])).
% 17.15/12.29 tff(29936,plain,
% 17.15/12.29 (~((~v39(constB17)) | (~v9(constB17)))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29935, 29928])).
% 17.15/12.29 tff(29937,plain,
% 17.15/12.29 ((~(v141(constB17) <=> (~((~v39(constB17)) | (~v9(constB17)))))) | v141(constB17) | ((~v39(constB17)) | (~v9(constB17)))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29938,plain,
% 17.15/12.29 (v141(constB17)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29937, 29936, 29888])).
% 17.15/12.29 tff(29939,plain,
% 17.15/12.29 ((v141(constB17) | v26(constB17)) | (~v141(constB17))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29940,plain,
% 17.15/12.29 (v141(constB17) | v26(constB17)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29939, 29938])).
% 17.15/12.29 tff(29941,plain,
% 17.15/12.29 ((~(v140(constB17) <=> (v141(constB17) | v26(constB17)))) | v140(constB17) | (~(v141(constB17) | v26(constB17)))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29942,plain,
% 17.15/12.29 (v140(constB17)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29941, 29940, 29886])).
% 17.15/12.29 tff(29943,plain,
% 17.15/12.29 ((~((~v139(constB17)) <=> v140(constB17))) | (~v139(constB17)) | (~v140(constB17))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29944,plain,
% 17.15/12.29 (~v139(constB17)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29943, 29942, 29884])).
% 17.15/12.29 tff(29945,plain,
% 17.15/12.29 (((~v128(constB17)) | (~v139(constB17))) | v139(constB17)),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29946,plain,
% 17.15/12.29 ((~v128(constB17)) | (~v139(constB17))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29945, 29944])).
% 17.15/12.29 tff(29947,plain,
% 17.15/12.29 ((~(v163(constB17) <=> (~((~v128(constB17)) | (~v139(constB17)))))) | (~v163(constB17)) | (~((~v128(constB17)) | (~v139(constB17))))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29948,plain,
% 17.15/12.29 (~v163(constB17)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29947, 29946, 29882])).
% 17.15/12.29 tff(29949,plain,
% 17.15/12.29 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB17) <=> (~((~v130(constB17)) | (~v155(constB17)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB17) <=> (~((~v130(constB17)) | (~v155(constB17))))))),
% 17.15/12.29 inference(rewrite,[status(thm)],[])).
% 17.15/12.29 tff(29950,plain,
% 17.15/12.29 ((v164(constB17) <=> (~((~v155(constB17)) | (~v130(constB17))))) <=> (v164(constB17) <=> (~((~v130(constB17)) | (~v155(constB17)))))),
% 17.15/12.29 inference(rewrite,[status(thm)],[])).
% 17.15/12.29 tff(29951,plain,
% 17.15/12.29 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB17) <=> (~((~v155(constB17)) | (~v130(constB17)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB17) <=> (~((~v130(constB17)) | (~v155(constB17))))))),
% 17.15/12.29 inference(monotonicity,[status(thm)],[29950])).
% 17.15/12.29 tff(29952,plain,
% 17.15/12.29 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB17) <=> (~((~v155(constB17)) | (~v130(constB17)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB17) <=> (~((~v130(constB17)) | (~v155(constB17))))))),
% 17.15/12.29 inference(transitivity,[status(thm)],[29951, 29949])).
% 17.15/12.29 tff(29953,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB17) <=> (~((~v155(constB17)) | (~v130(constB17)))))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29954,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB17) <=> (~((~v130(constB17)) | (~v155(constB17)))))),
% 17.15/12.29 inference(modus_ponens,[status(thm)],[29953, 29952])).
% 17.15/12.29 tff(29955,plain,
% 17.15/12.29 (v164(constB17) <=> (~((~v130(constB17)) | (~v155(constB17))))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29954, 96])).
% 17.15/12.29 tff(29956,plain,
% 17.15/12.29 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB17) <=> v152(constB17))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29957,plain,
% 17.15/12.29 (v130(constB17) <=> v152(constB17)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29956, 361])).
% 17.15/12.29 tff(29958,plain,
% 17.15/12.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB16, constB17)) | (v152(constB17) <=> v150(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB16, constB17)) | (v152(constB17) <=> v150(constB16)))),
% 17.15/12.29 inference(rewrite,[status(thm)],[])).
% 17.15/12.29 tff(29959,plain,
% 17.15/12.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB16, constB17)) | (v152(constB17) <=> v150(constB16)))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29960,plain,
% 17.15/12.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB16, constB17)) | (v152(constB17) <=> v150(constB16))),
% 17.15/12.29 inference(modus_ponens,[status(thm)],[29959, 29958])).
% 17.15/12.29 tff(29961,plain,
% 17.15/12.29 (v152(constB17) <=> v150(constB16)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29960, 1725, 373])).
% 17.15/12.29 tff(29962,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB16) <=> (v153(constB16) | v154(constB16)))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29963,plain,
% 17.15/12.29 (v150(constB16) <=> (v153(constB16) | v154(constB16))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29962, 387])).
% 17.15/12.29 tff(29964,plain,
% 17.15/12.29 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB16) <=> (~((~v132(constB16)) | (~v155(constB16)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB16) <=> (~((~v132(constB16)) | (~v155(constB16))))))),
% 17.15/12.29 inference(rewrite,[status(thm)],[])).
% 17.15/12.29 tff(29965,plain,
% 17.15/12.29 ((v154(constB16) <=> (~((~v155(constB16)) | (~v132(constB16))))) <=> (v154(constB16) <=> (~((~v132(constB16)) | (~v155(constB16)))))),
% 17.15/12.29 inference(rewrite,[status(thm)],[])).
% 17.15/12.29 tff(29966,plain,
% 17.15/12.29 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB16) <=> (~((~v155(constB16)) | (~v132(constB16)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB16) <=> (~((~v132(constB16)) | (~v155(constB16))))))),
% 17.15/12.29 inference(monotonicity,[status(thm)],[29965])).
% 17.15/12.29 tff(29967,plain,
% 17.15/12.29 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB16) <=> (~((~v155(constB16)) | (~v132(constB16)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB16) <=> (~((~v132(constB16)) | (~v155(constB16))))))),
% 17.15/12.29 inference(transitivity,[status(thm)],[29966, 29964])).
% 17.15/12.29 tff(29968,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB16) <=> (~((~v155(constB16)) | (~v132(constB16)))))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29969,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB16) <=> (~((~v132(constB16)) | (~v155(constB16)))))),
% 17.15/12.29 inference(modus_ponens,[status(thm)],[29968, 29967])).
% 17.15/12.29 tff(29970,plain,
% 17.15/12.29 (v154(constB16) <=> (~((~v132(constB16)) | (~v155(constB16))))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29969, 399])).
% 17.15/12.29 tff(29971,plain,
% 17.15/12.29 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB16) <=> (~((~v141(constB16)) | (~v143(constB16)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB16) <=> (~((~v141(constB16)) | (~v143(constB16))))))),
% 17.15/12.29 inference(rewrite,[status(thm)],[])).
% 17.15/12.29 tff(29972,plain,
% 17.15/12.29 ((v155(constB16) <=> (~((~v143(constB16)) | (~v141(constB16))))) <=> (v155(constB16) <=> (~((~v141(constB16)) | (~v143(constB16)))))),
% 17.15/12.29 inference(rewrite,[status(thm)],[])).
% 17.15/12.29 tff(29973,plain,
% 17.15/12.29 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB16) <=> (~((~v143(constB16)) | (~v141(constB16)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB16) <=> (~((~v141(constB16)) | (~v143(constB16))))))),
% 17.15/12.29 inference(monotonicity,[status(thm)],[29972])).
% 17.15/12.29 tff(29974,plain,
% 17.15/12.29 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB16) <=> (~((~v143(constB16)) | (~v141(constB16)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB16) <=> (~((~v141(constB16)) | (~v143(constB16))))))),
% 17.15/12.29 inference(transitivity,[status(thm)],[29973, 29971])).
% 17.15/12.29 tff(29975,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB16) <=> (~((~v143(constB16)) | (~v141(constB16)))))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29976,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB16) <=> (~((~v141(constB16)) | (~v143(constB16)))))),
% 17.15/12.29 inference(modus_ponens,[status(thm)],[29975, 29974])).
% 17.15/12.29 tff(29977,plain,
% 17.15/12.29 (v155(constB16) <=> (~((~v141(constB16)) | (~v143(constB16))))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29976, 113])).
% 17.15/12.29 tff(29978,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB16) <=> (~((~v39(constB16)) | (~v9(constB16)))))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29979,plain,
% 17.15/12.29 (v141(constB16) <=> (~((~v39(constB16)) | (~v9(constB16))))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29978, 130])).
% 17.15/12.29 tff(29980,plain,
% 17.15/12.29 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB16)) <=> v1(constB16))),
% 17.15/12.29 inference(quant_inst,[status(thm)],[])).
% 17.15/12.29 tff(29981,plain,
% 17.15/12.29 ((~v39(constB16)) <=> v1(constB16)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29980, 139])).
% 17.15/12.29 tff(29982,plain,
% 17.15/12.29 ((~((~v39(constB16)) <=> v1(constB16))) | (~v39(constB16)) | (~v1(constB16))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29983,plain,
% 17.15/12.29 ((~((~v39(constB16)) <=> v1(constB16))) | (~v39(constB16))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29982, 3687])).
% 17.15/12.29 tff(29984,plain,
% 17.15/12.29 (~v39(constB16)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29983, 29981])).
% 17.15/12.29 tff(29985,plain,
% 17.15/12.29 (((~v39(constB16)) | (~v9(constB16))) | v39(constB16)),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29986,plain,
% 17.15/12.29 ((~v39(constB16)) | (~v9(constB16))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29985, 29984])).
% 17.15/12.29 tff(29987,plain,
% 17.15/12.29 ((~(v141(constB16) <=> (~((~v39(constB16)) | (~v9(constB16)))))) | (~v141(constB16)) | (~((~v39(constB16)) | (~v9(constB16))))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29988,plain,
% 17.15/12.29 ((~(v141(constB16) <=> (~((~v39(constB16)) | (~v9(constB16)))))) | (~v141(constB16))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29987, 29986])).
% 17.15/12.29 tff(29989,plain,
% 17.15/12.29 (~v141(constB16)),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29988, 29979])).
% 17.15/12.29 tff(29990,plain,
% 17.15/12.29 (((~v141(constB16)) | (~v143(constB16))) | v141(constB16)),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.29 tff(29991,plain,
% 17.15/12.29 ((~v141(constB16)) | (~v143(constB16))),
% 17.15/12.29 inference(unit_resolution,[status(thm)],[29990, 29989])).
% 17.15/12.29 tff(29992,plain,
% 17.15/12.29 ((~(v155(constB16) <=> (~((~v141(constB16)) | (~v143(constB16)))))) | (~v155(constB16)) | (~((~v141(constB16)) | (~v143(constB16))))),
% 17.15/12.29 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(29993,plain,
% 17.15/12.30 ((~(v155(constB16) <=> (~((~v141(constB16)) | (~v143(constB16)))))) | (~v155(constB16))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[29992, 29991])).
% 17.15/12.30 tff(29994,plain,
% 17.15/12.30 (~v155(constB16)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[29993, 29977])).
% 17.15/12.30 tff(29995,plain,
% 17.15/12.30 (((~v132(constB16)) | (~v155(constB16))) | v155(constB16)),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(29996,plain,
% 17.15/12.30 ((~v132(constB16)) | (~v155(constB16))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[29995, 29994])).
% 17.15/12.30 tff(29997,plain,
% 17.15/12.30 ((~(v154(constB16) <=> (~((~v132(constB16)) | (~v155(constB16)))))) | (~v154(constB16)) | (~((~v132(constB16)) | (~v155(constB16))))),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(29998,plain,
% 17.15/12.30 (~v154(constB16)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[29997, 29996, 29970])).
% 17.15/12.30 tff(29999,plain,
% 17.15/12.30 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB16) <=> (~((~v130(constB16)) | (~v139(constB16)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB16) <=> (~((~v130(constB16)) | (~v139(constB16))))))),
% 17.15/12.30 inference(rewrite,[status(thm)],[])).
% 17.15/12.30 tff(30000,plain,
% 17.15/12.30 ((v153(constB16) <=> (~((~v139(constB16)) | (~v130(constB16))))) <=> (v153(constB16) <=> (~((~v130(constB16)) | (~v139(constB16)))))),
% 17.15/12.30 inference(rewrite,[status(thm)],[])).
% 17.15/12.30 tff(30001,plain,
% 17.15/12.30 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB16) <=> (~((~v139(constB16)) | (~v130(constB16)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB16) <=> (~((~v130(constB16)) | (~v139(constB16))))))),
% 17.15/12.30 inference(monotonicity,[status(thm)],[30000])).
% 17.15/12.30 tff(30002,plain,
% 17.15/12.30 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB16) <=> (~((~v139(constB16)) | (~v130(constB16)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB16) <=> (~((~v130(constB16)) | (~v139(constB16))))))),
% 17.15/12.30 inference(transitivity,[status(thm)],[30001, 29999])).
% 17.15/12.30 tff(30003,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB16) <=> (~((~v139(constB16)) | (~v130(constB16)))))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30004,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB16) <=> (~((~v130(constB16)) | (~v139(constB16)))))),
% 17.15/12.30 inference(modus_ponens,[status(thm)],[30003, 30002])).
% 17.15/12.30 tff(30005,plain,
% 17.15/12.30 (v153(constB16) <=> (~((~v130(constB16)) | (~v139(constB16))))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30004, 447])).
% 17.15/12.30 tff(30006,plain,
% 17.15/12.30 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB16) <=> v152(constB16))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30007,plain,
% 17.15/12.30 (v130(constB16) <=> v152(constB16)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30006, 361])).
% 17.15/12.30 tff(30008,plain,
% 17.15/12.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB15, constB16)) | (v152(constB16) <=> v150(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB15, constB16)) | (v152(constB16) <=> v150(constB15)))),
% 17.15/12.30 inference(rewrite,[status(thm)],[])).
% 17.15/12.30 tff(30009,plain,
% 17.15/12.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB15, constB16)) | (v152(constB16) <=> v150(constB15)))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30010,plain,
% 17.15/12.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB15, constB16)) | (v152(constB16) <=> v150(constB15))),
% 17.15/12.30 inference(modus_ponens,[status(thm)],[30009, 30008])).
% 17.15/12.30 tff(30011,plain,
% 17.15/12.30 (v152(constB16) <=> v150(constB15)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30010, 1761, 373])).
% 17.15/12.30 tff(30012,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB15) <=> (v153(constB15) | v154(constB15)))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30013,plain,
% 17.15/12.30 (v150(constB15) <=> (v153(constB15) | v154(constB15))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30012, 387])).
% 17.15/12.30 tff(30014,plain,
% 17.15/12.30 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB15) <=> (~((~v130(constB15)) | (~v139(constB15)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB15) <=> (~((~v130(constB15)) | (~v139(constB15))))))),
% 17.15/12.30 inference(rewrite,[status(thm)],[])).
% 17.15/12.30 tff(30015,plain,
% 17.15/12.30 ((v153(constB15) <=> (~((~v139(constB15)) | (~v130(constB15))))) <=> (v153(constB15) <=> (~((~v130(constB15)) | (~v139(constB15)))))),
% 17.15/12.30 inference(rewrite,[status(thm)],[])).
% 17.15/12.30 tff(30016,plain,
% 17.15/12.30 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB15) <=> (~((~v139(constB15)) | (~v130(constB15)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB15) <=> (~((~v130(constB15)) | (~v139(constB15))))))),
% 17.15/12.30 inference(monotonicity,[status(thm)],[30015])).
% 17.15/12.30 tff(30017,plain,
% 17.15/12.30 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB15) <=> (~((~v139(constB15)) | (~v130(constB15)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB15) <=> (~((~v130(constB15)) | (~v139(constB15))))))),
% 17.15/12.30 inference(transitivity,[status(thm)],[30016, 30014])).
% 17.15/12.30 tff(30018,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB15) <=> (~((~v139(constB15)) | (~v130(constB15)))))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30019,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB15) <=> (~((~v130(constB15)) | (~v139(constB15)))))),
% 17.15/12.30 inference(modus_ponens,[status(thm)],[30018, 30017])).
% 17.15/12.30 tff(30020,plain,
% 17.15/12.30 (v153(constB15) <=> (~((~v130(constB15)) | (~v139(constB15))))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30019, 447])).
% 17.15/12.30 tff(30021,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB15)) <=> v140(constB15))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30022,plain,
% 17.15/12.30 ((~v139(constB15)) <=> v140(constB15)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30021, 203])).
% 17.15/12.30 tff(30023,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB15) <=> (v141(constB15) | v26(constB15)))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30024,plain,
% 17.15/12.30 (v140(constB15) <=> (v141(constB15) | v26(constB15))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30023, 212])).
% 17.15/12.30 tff(30025,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB15) <=> (~((~v39(constB15)) | (~v9(constB15)))))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30026,plain,
% 17.15/12.30 (v141(constB15) <=> (~((~v39(constB15)) | (~v9(constB15))))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30025, 130])).
% 17.15/12.30 tff(30027,plain,
% 17.15/12.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB15, constB16)) | (v13(constB16) <=> v9(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB15, constB16)) | (v13(constB16) <=> v9(constB15)))),
% 17.15/12.30 inference(rewrite,[status(thm)],[])).
% 17.15/12.30 tff(30028,plain,
% 17.15/12.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB15, constB16)) | (v13(constB16) <=> v9(constB15)))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30029,plain,
% 17.15/12.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB15, constB16)) | (v13(constB16) <=> v9(constB15))),
% 17.15/12.30 inference(modus_ponens,[status(thm)],[30028, 30027])).
% 17.15/12.30 tff(30030,plain,
% 17.15/12.30 (v13(constB16) <=> v9(constB15)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30029, 1761, 226])).
% 17.15/12.30 tff(30031,plain,
% 17.15/12.30 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB16) <=> v13(constB16))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30032,plain,
% 17.15/12.30 (v6(constB16) <=> v13(constB16)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30031, 240])).
% 17.15/12.30 tff(30033,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB16)) <=> v6(constB16))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30034,plain,
% 17.15/12.30 ((~v21(constB16)) <=> v6(constB16)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30033, 249])).
% 17.15/12.30 tff(30035,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB16) <=> (v20(constB16) | v21(constB16)))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30036,plain,
% 17.15/12.30 (v19(constB16) <=> (v20(constB16) | v21(constB16))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30035, 258])).
% 17.15/12.30 tff(30037,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB16) <=> (~((~v19(constB16)) | (~v22(constB16)))))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30038,plain,
% 17.15/12.30 (v18(constB16) <=> (~((~v19(constB16)) | (~v22(constB16))))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30037, 270])).
% 17.15/12.30 tff(30039,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB16)) <=> v18(constB16))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30040,plain,
% 17.15/12.30 ((~v4(constB16)) <=> v18(constB16)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30039, 279])).
% 17.15/12.30 tff(30041,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB16)),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30042,plain,
% 17.15/12.30 (v4(constB16)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30041, 288])).
% 17.15/12.30 tff(30043,plain,
% 17.15/12.30 ((~((~v4(constB16)) <=> v18(constB16))) | (~v4(constB16)) | (~v18(constB16))),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30044,plain,
% 17.15/12.30 (~v18(constB16)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30043, 30042, 30040])).
% 17.15/12.30 tff(30045,plain,
% 17.15/12.30 ((~(v18(constB16) <=> (~((~v19(constB16)) | (~v22(constB16)))))) | v18(constB16) | ((~v19(constB16)) | (~v22(constB16)))),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30046,plain,
% 17.15/12.30 ((~v19(constB16)) | (~v22(constB16))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30045, 30044, 30038])).
% 17.15/12.30 tff(30047,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB16) <=> (v1(constB16) | v6(constB16)))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30048,plain,
% 17.15/12.30 (v22(constB16) <=> (v1(constB16) | v6(constB16))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30047, 301])).
% 17.15/12.30 tff(30049,plain,
% 17.15/12.30 ((v1(constB16) | v6(constB16)) | (~v1(constB16))),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30050,plain,
% 17.15/12.30 (v1(constB16) | v6(constB16)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30049, 3687])).
% 17.15/12.30 tff(30051,plain,
% 17.15/12.30 ((~(v22(constB16) <=> (v1(constB16) | v6(constB16)))) | v22(constB16) | (~(v1(constB16) | v6(constB16)))),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30052,plain,
% 17.15/12.30 ((~(v22(constB16) <=> (v1(constB16) | v6(constB16)))) | v22(constB16)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30051, 30050])).
% 17.15/12.30 tff(30053,plain,
% 17.15/12.30 (v22(constB16)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30052, 30048])).
% 17.15/12.30 tff(30054,plain,
% 17.15/12.30 ((~((~v19(constB16)) | (~v22(constB16)))) | (~v19(constB16)) | (~v22(constB16))),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30055,plain,
% 17.15/12.30 ((~((~v19(constB16)) | (~v22(constB16)))) | (~v19(constB16))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30054, 30053])).
% 17.15/12.30 tff(30056,plain,
% 17.15/12.30 (~v19(constB16)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30055, 30046])).
% 17.15/12.30 tff(30057,plain,
% 17.15/12.30 ((~(v19(constB16) <=> (v20(constB16) | v21(constB16)))) | v19(constB16) | (~(v20(constB16) | v21(constB16)))),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30058,plain,
% 17.15/12.30 (~(v20(constB16) | v21(constB16))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30057, 30056, 30036])).
% 17.15/12.30 tff(30059,plain,
% 17.15/12.30 ((v20(constB16) | v21(constB16)) | (~v21(constB16))),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30060,plain,
% 17.15/12.30 (~v21(constB16)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30059, 30058])).
% 17.15/12.30 tff(30061,plain,
% 17.15/12.30 ((~((~v21(constB16)) <=> v6(constB16))) | v21(constB16) | v6(constB16)),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30062,plain,
% 17.15/12.30 (v6(constB16)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30061, 30060, 30034])).
% 17.15/12.30 tff(30063,plain,
% 17.15/12.30 ((~(v6(constB16) <=> v13(constB16))) | (~v6(constB16)) | v13(constB16)),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30064,plain,
% 17.15/12.30 (v13(constB16)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30063, 30062, 30032])).
% 17.15/12.30 tff(30065,plain,
% 17.15/12.30 ((~(v13(constB16) <=> v9(constB15))) | (~v13(constB16)) | v9(constB15)),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30066,plain,
% 17.15/12.30 (v9(constB15)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30065, 30064, 30030])).
% 17.15/12.30 tff(30067,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB15)) <=> v1(constB15))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30068,plain,
% 17.15/12.30 ((~v39(constB15)) <=> v1(constB15)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30067, 139])).
% 17.15/12.30 tff(30069,plain,
% 17.15/12.30 ((~((~v39(constB15)) <=> v1(constB15))) | v39(constB15) | v1(constB15)),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30070,plain,
% 17.15/12.30 ((~((~v39(constB15)) <=> v1(constB15))) | v39(constB15)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30069, 1800])).
% 17.15/12.30 tff(30071,plain,
% 17.15/12.30 (v39(constB15)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30070, 30068])).
% 17.15/12.30 tff(30072,plain,
% 17.15/12.30 ((~((~v39(constB15)) | (~v9(constB15)))) | (~v39(constB15)) | (~v9(constB15))),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30073,plain,
% 17.15/12.30 ((~((~v39(constB15)) | (~v9(constB15)))) | (~v9(constB15))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30072, 30071])).
% 17.15/12.30 tff(30074,plain,
% 17.15/12.30 (~((~v39(constB15)) | (~v9(constB15)))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30073, 30066])).
% 17.15/12.30 tff(30075,plain,
% 17.15/12.30 ((~(v141(constB15) <=> (~((~v39(constB15)) | (~v9(constB15)))))) | v141(constB15) | ((~v39(constB15)) | (~v9(constB15)))),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30076,plain,
% 17.15/12.30 (v141(constB15)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30075, 30074, 30026])).
% 17.15/12.30 tff(30077,plain,
% 17.15/12.30 ((v141(constB15) | v26(constB15)) | (~v141(constB15))),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30078,plain,
% 17.15/12.30 (v141(constB15) | v26(constB15)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30077, 30076])).
% 17.15/12.30 tff(30079,plain,
% 17.15/12.30 ((~(v140(constB15) <=> (v141(constB15) | v26(constB15)))) | v140(constB15) | (~(v141(constB15) | v26(constB15)))),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30080,plain,
% 17.15/12.30 (v140(constB15)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30079, 30078, 30024])).
% 17.15/12.30 tff(30081,plain,
% 17.15/12.30 ((~((~v139(constB15)) <=> v140(constB15))) | (~v139(constB15)) | (~v140(constB15))),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30082,plain,
% 17.15/12.30 (~v139(constB15)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30081, 30080, 30022])).
% 17.15/12.30 tff(30083,plain,
% 17.15/12.30 (((~v130(constB15)) | (~v139(constB15))) | v139(constB15)),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30084,plain,
% 17.15/12.30 ((~v130(constB15)) | (~v139(constB15))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30083, 30082])).
% 17.15/12.30 tff(30085,plain,
% 17.15/12.30 ((~(v153(constB15) <=> (~((~v130(constB15)) | (~v139(constB15)))))) | (~v153(constB15)) | (~((~v130(constB15)) | (~v139(constB15))))),
% 17.15/12.30 inference(tautology,[status(thm)],[])).
% 17.15/12.30 tff(30086,plain,
% 17.15/12.30 (~v153(constB15)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30085, 30084, 30020])).
% 17.15/12.30 tff(30087,plain,
% 17.15/12.30 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB15) <=> (~((~v132(constB15)) | (~v155(constB15)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB15) <=> (~((~v132(constB15)) | (~v155(constB15))))))),
% 17.15/12.30 inference(rewrite,[status(thm)],[])).
% 17.15/12.30 tff(30088,plain,
% 17.15/12.30 ((v154(constB15) <=> (~((~v155(constB15)) | (~v132(constB15))))) <=> (v154(constB15) <=> (~((~v132(constB15)) | (~v155(constB15)))))),
% 17.15/12.30 inference(rewrite,[status(thm)],[])).
% 17.15/12.30 tff(30089,plain,
% 17.15/12.30 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB15) <=> (~((~v155(constB15)) | (~v132(constB15)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB15) <=> (~((~v132(constB15)) | (~v155(constB15))))))),
% 17.15/12.30 inference(monotonicity,[status(thm)],[30088])).
% 17.15/12.30 tff(30090,plain,
% 17.15/12.30 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB15) <=> (~((~v155(constB15)) | (~v132(constB15)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB15) <=> (~((~v132(constB15)) | (~v155(constB15))))))),
% 17.15/12.30 inference(transitivity,[status(thm)],[30089, 30087])).
% 17.15/12.30 tff(30091,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB15) <=> (~((~v155(constB15)) | (~v132(constB15)))))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30092,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB15) <=> (~((~v132(constB15)) | (~v155(constB15)))))),
% 17.15/12.30 inference(modus_ponens,[status(thm)],[30091, 30090])).
% 17.15/12.30 tff(30093,plain,
% 17.15/12.30 (v154(constB15) <=> (~((~v132(constB15)) | (~v155(constB15))))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30092, 399])).
% 17.15/12.30 tff(30094,plain,
% 17.15/12.30 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB15) <=> v137(constB15))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30095,plain,
% 17.15/12.30 (v132(constB15) <=> v137(constB15)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30094, 558])).
% 17.15/12.30 tff(30096,plain,
% 17.15/12.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB14, constB15)) | (v137(constB15) <=> v135(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB14, constB15)) | (v137(constB15) <=> v135(constB14)))),
% 17.15/12.30 inference(rewrite,[status(thm)],[])).
% 17.15/12.30 tff(30097,plain,
% 17.15/12.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB14, constB15)) | (v137(constB15) <=> v135(constB14)))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30098,plain,
% 17.15/12.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB14, constB15)) | (v137(constB15) <=> v135(constB14))),
% 17.15/12.30 inference(modus_ponens,[status(thm)],[30097, 30096])).
% 17.15/12.30 tff(30099,plain,
% 17.15/12.30 (v137(constB15) <=> v135(constB14)),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30098, 1786, 570])).
% 17.15/12.30 tff(30100,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB14) <=> (v138(constB14) | v142(constB14)))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30101,plain,
% 17.15/12.30 (v135(constB14) <=> (v138(constB14) | v142(constB14))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30100, 584])).
% 17.15/12.30 tff(30102,plain,
% 17.15/12.30 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB14) <=> (~((~v143(constB14)) | (~v144(constB14)))))),
% 17.15/12.30 inference(quant_inst,[status(thm)],[])).
% 17.15/12.30 tff(30103,plain,
% 17.15/12.30 (v142(constB14) <=> (~((~v143(constB14)) | (~v144(constB14))))),
% 17.15/12.30 inference(unit_resolution,[status(thm)],[30102, 596])).
% 17.15/12.30 tff(30104,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB14) <=> (~((~v141(constB14)) | (~v145(constB14)))))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30105,plain,
% 17.15/12.31 (v144(constB14) <=> (~((~v141(constB14)) | (~v145(constB14))))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30104, 608])).
% 17.15/12.31 tff(30106,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30107,plain,
% 17.15/12.31 (v141(constB14) <=> (~((~v39(constB14)) | (~v9(constB14))))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30106, 130])).
% 17.15/12.31 tff(30108,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB14)) <=> v1(constB14))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30109,plain,
% 17.15/12.31 ((~v39(constB14)) <=> v1(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30108, 139])).
% 17.15/12.31 tff(30110,plain,
% 17.15/12.31 ((~((~v39(constB14)) <=> v1(constB14))) | (~v39(constB14)) | (~v1(constB14))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30111,plain,
% 17.15/12.31 ((~((~v39(constB14)) <=> v1(constB14))) | (~v39(constB14))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30110, 3493])).
% 17.15/12.31 tff(30112,plain,
% 17.15/12.31 (~v39(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30111, 30109])).
% 17.15/12.31 tff(30113,plain,
% 17.15/12.31 (((~v39(constB14)) | (~v9(constB14))) | v39(constB14)),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30114,plain,
% 17.15/12.31 ((~v39(constB14)) | (~v9(constB14))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30113, 30112])).
% 17.15/12.31 tff(30115,plain,
% 17.15/12.31 ((~(v141(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))) | (~v141(constB14)) | (~((~v39(constB14)) | (~v9(constB14))))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30116,plain,
% 17.15/12.31 ((~(v141(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))) | (~v141(constB14))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30115, 30114])).
% 17.15/12.31 tff(30117,plain,
% 17.15/12.31 (~v141(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30116, 30107])).
% 17.15/12.31 tff(30118,plain,
% 17.15/12.31 (((~v141(constB14)) | (~v145(constB14))) | v141(constB14)),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30119,plain,
% 17.15/12.31 ((~v141(constB14)) | (~v145(constB14))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30118, 30117])).
% 17.15/12.31 tff(30120,plain,
% 17.15/12.31 ((~(v144(constB14) <=> (~((~v141(constB14)) | (~v145(constB14)))))) | (~v144(constB14)) | (~((~v141(constB14)) | (~v145(constB14))))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30121,plain,
% 17.15/12.31 ((~(v144(constB14) <=> (~((~v141(constB14)) | (~v145(constB14)))))) | (~v144(constB14))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30120, 30119])).
% 17.15/12.31 tff(30122,plain,
% 17.15/12.31 (~v144(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30121, 30105])).
% 17.15/12.31 tff(30123,plain,
% 17.15/12.31 (((~v143(constB14)) | (~v144(constB14))) | v144(constB14)),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30124,plain,
% 17.15/12.31 ((~v143(constB14)) | (~v144(constB14))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30123, 30122])).
% 17.15/12.31 tff(30125,plain,
% 17.15/12.31 ((~(v142(constB14) <=> (~((~v143(constB14)) | (~v144(constB14)))))) | (~v142(constB14)) | (~((~v143(constB14)) | (~v144(constB14))))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30126,plain,
% 17.15/12.31 (~v142(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30125, 30124, 30103])).
% 17.15/12.31 tff(30127,plain,
% 17.15/12.31 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB14) <=> (~((~v132(constB14)) | (~v139(constB14)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB14) <=> (~((~v132(constB14)) | (~v139(constB14))))))),
% 17.15/12.31 inference(rewrite,[status(thm)],[])).
% 17.15/12.31 tff(30128,plain,
% 17.15/12.31 ((v138(constB14) <=> (~((~v139(constB14)) | (~v132(constB14))))) <=> (v138(constB14) <=> (~((~v132(constB14)) | (~v139(constB14)))))),
% 17.15/12.31 inference(rewrite,[status(thm)],[])).
% 17.15/12.31 tff(30129,plain,
% 17.15/12.31 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB14) <=> (~((~v139(constB14)) | (~v132(constB14)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB14) <=> (~((~v132(constB14)) | (~v139(constB14))))))),
% 17.15/12.31 inference(monotonicity,[status(thm)],[30128])).
% 17.15/12.31 tff(30130,plain,
% 17.15/12.31 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB14) <=> (~((~v139(constB14)) | (~v132(constB14)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB14) <=> (~((~v132(constB14)) | (~v139(constB14))))))),
% 17.15/12.31 inference(transitivity,[status(thm)],[30129, 30127])).
% 17.15/12.31 tff(30131,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB14) <=> (~((~v139(constB14)) | (~v132(constB14)))))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30132,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB14) <=> (~((~v132(constB14)) | (~v139(constB14)))))),
% 17.15/12.31 inference(modus_ponens,[status(thm)],[30131, 30130])).
% 17.15/12.31 tff(30133,plain,
% 17.15/12.31 (v138(constB14) <=> (~((~v132(constB14)) | (~v139(constB14))))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30132, 644])).
% 17.15/12.31 tff(30134,plain,
% 17.15/12.31 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB14) <=> v137(constB14))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30135,plain,
% 17.15/12.31 (v132(constB14) <=> v137(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30134, 558])).
% 17.15/12.31 tff(30136,plain,
% 17.15/12.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB13, constB14)) | (v137(constB14) <=> v135(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB13, constB14)) | (v137(constB14) <=> v135(constB13)))),
% 17.15/12.31 inference(rewrite,[status(thm)],[])).
% 17.15/12.31 tff(30137,plain,
% 17.15/12.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB13, constB14)) | (v137(constB14) <=> v135(constB13)))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30138,plain,
% 17.15/12.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB13, constB14)) | (v137(constB14) <=> v135(constB13))),
% 17.15/12.31 inference(modus_ponens,[status(thm)],[30137, 30136])).
% 17.15/12.31 tff(30139,plain,
% 17.15/12.31 (v137(constB14) <=> v135(constB13)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30138, 1822, 570])).
% 17.15/12.31 tff(30140,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB13) <=> (v138(constB13) | v142(constB13)))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30141,plain,
% 17.15/12.31 (v135(constB13) <=> (v138(constB13) | v142(constB13))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30140, 584])).
% 17.15/12.31 tff(30142,plain,
% 17.15/12.31 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB13) <=> (~((~v132(constB13)) | (~v139(constB13)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB13) <=> (~((~v132(constB13)) | (~v139(constB13))))))),
% 17.15/12.31 inference(rewrite,[status(thm)],[])).
% 17.15/12.31 tff(30143,plain,
% 17.15/12.31 ((v138(constB13) <=> (~((~v139(constB13)) | (~v132(constB13))))) <=> (v138(constB13) <=> (~((~v132(constB13)) | (~v139(constB13)))))),
% 17.15/12.31 inference(rewrite,[status(thm)],[])).
% 17.15/12.31 tff(30144,plain,
% 17.15/12.31 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB13) <=> (~((~v139(constB13)) | (~v132(constB13)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB13) <=> (~((~v132(constB13)) | (~v139(constB13))))))),
% 17.15/12.31 inference(monotonicity,[status(thm)],[30143])).
% 17.15/12.31 tff(30145,plain,
% 17.15/12.31 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB13) <=> (~((~v139(constB13)) | (~v132(constB13)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB13) <=> (~((~v132(constB13)) | (~v139(constB13))))))),
% 17.15/12.31 inference(transitivity,[status(thm)],[30144, 30142])).
% 17.15/12.31 tff(30146,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB13) <=> (~((~v139(constB13)) | (~v132(constB13)))))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30147,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB13) <=> (~((~v132(constB13)) | (~v139(constB13)))))),
% 17.15/12.31 inference(modus_ponens,[status(thm)],[30146, 30145])).
% 17.15/12.31 tff(30148,plain,
% 17.15/12.31 (v138(constB13) <=> (~((~v132(constB13)) | (~v139(constB13))))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30147, 644])).
% 17.15/12.31 tff(30149,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB13)) <=> v140(constB13))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30150,plain,
% 17.15/12.31 ((~v139(constB13)) <=> v140(constB13)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30149, 203])).
% 17.15/12.31 tff(30151,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB13) <=> (v141(constB13) | v26(constB13)))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30152,plain,
% 17.15/12.31 (v140(constB13) <=> (v141(constB13) | v26(constB13))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30151, 212])).
% 17.15/12.31 tff(30153,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB13) <=> (~((~v39(constB13)) | (~v9(constB13)))))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30154,plain,
% 17.15/12.31 (v141(constB13) <=> (~((~v39(constB13)) | (~v9(constB13))))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30153, 130])).
% 17.15/12.31 tff(30155,plain,
% 17.15/12.31 (((~![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)))),
% 17.15/12.31 inference(rewrite,[status(thm)],[])).
% 17.15/12.31 tff(30156,plain,
% 17.15/12.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13)))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30157,plain,
% 17.15/12.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13))),
% 17.15/12.31 inference(modus_ponens,[status(thm)],[30156, 30155])).
% 17.15/12.31 tff(30158,plain,
% 17.15/12.31 (v13(constB14) <=> v9(constB13)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30157, 1822, 226])).
% 17.15/12.31 tff(30159,plain,
% 17.15/12.31 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB14) <=> v13(constB14))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30160,plain,
% 17.15/12.31 (v6(constB14) <=> v13(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30159, 240])).
% 17.15/12.31 tff(30161,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB14)) <=> v6(constB14))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30162,plain,
% 17.15/12.31 ((~v21(constB14)) <=> v6(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30161, 249])).
% 17.15/12.31 tff(30163,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB14) <=> (v20(constB14) | v21(constB14)))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30164,plain,
% 17.15/12.31 (v19(constB14) <=> (v20(constB14) | v21(constB14))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30163, 258])).
% 17.15/12.31 tff(30165,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14)))))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30166,plain,
% 17.15/12.31 (v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14))))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30165, 270])).
% 17.15/12.31 tff(30167,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB14)) <=> v18(constB14))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30168,plain,
% 17.15/12.31 ((~v4(constB14)) <=> v18(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30167, 279])).
% 17.15/12.31 tff(30169,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB14)),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30170,plain,
% 17.15/12.31 (v4(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30169, 288])).
% 17.15/12.31 tff(30171,plain,
% 17.15/12.31 ((~((~v4(constB14)) <=> v18(constB14))) | (~v4(constB14)) | (~v18(constB14))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30172,plain,
% 17.15/12.31 (~v18(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30171, 30170, 30168])).
% 17.15/12.31 tff(30173,plain,
% 17.15/12.31 ((~(v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14)))))) | v18(constB14) | ((~v19(constB14)) | (~v22(constB14)))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30174,plain,
% 17.15/12.31 ((~v19(constB14)) | (~v22(constB14))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30173, 30172, 30166])).
% 17.15/12.31 tff(30175,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB14) <=> (v1(constB14) | v6(constB14)))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30176,plain,
% 17.15/12.31 (v22(constB14) <=> (v1(constB14) | v6(constB14))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30175, 301])).
% 17.15/12.31 tff(30177,plain,
% 17.15/12.31 ((v1(constB14) | v6(constB14)) | (~v1(constB14))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30178,plain,
% 17.15/12.31 (v1(constB14) | v6(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30177, 3493])).
% 17.15/12.31 tff(30179,plain,
% 17.15/12.31 ((~(v22(constB14) <=> (v1(constB14) | v6(constB14)))) | v22(constB14) | (~(v1(constB14) | v6(constB14)))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30180,plain,
% 17.15/12.31 ((~(v22(constB14) <=> (v1(constB14) | v6(constB14)))) | v22(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30179, 30178])).
% 17.15/12.31 tff(30181,plain,
% 17.15/12.31 (v22(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30180, 30176])).
% 17.15/12.31 tff(30182,plain,
% 17.15/12.31 ((~((~v19(constB14)) | (~v22(constB14)))) | (~v19(constB14)) | (~v22(constB14))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30183,plain,
% 17.15/12.31 ((~((~v19(constB14)) | (~v22(constB14)))) | (~v19(constB14))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30182, 30181])).
% 17.15/12.31 tff(30184,plain,
% 17.15/12.31 (~v19(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30183, 30174])).
% 17.15/12.31 tff(30185,plain,
% 17.15/12.31 ((~(v19(constB14) <=> (v20(constB14) | v21(constB14)))) | v19(constB14) | (~(v20(constB14) | v21(constB14)))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30186,plain,
% 17.15/12.31 (~(v20(constB14) | v21(constB14))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30185, 30184, 30164])).
% 17.15/12.31 tff(30187,plain,
% 17.15/12.31 ((v20(constB14) | v21(constB14)) | (~v21(constB14))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30188,plain,
% 17.15/12.31 (~v21(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30187, 30186])).
% 17.15/12.31 tff(30189,plain,
% 17.15/12.31 ((~((~v21(constB14)) <=> v6(constB14))) | v21(constB14) | v6(constB14)),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30190,plain,
% 17.15/12.31 (v6(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30189, 30188, 30162])).
% 17.15/12.31 tff(30191,plain,
% 17.15/12.31 ((~(v6(constB14) <=> v13(constB14))) | (~v6(constB14)) | v13(constB14)),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30192,plain,
% 17.15/12.31 (v13(constB14)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30191, 30190, 30160])).
% 17.15/12.31 tff(30193,plain,
% 17.15/12.31 ((~(v13(constB14) <=> v9(constB13))) | (~v13(constB14)) | v9(constB13)),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30194,plain,
% 17.15/12.31 (v9(constB13)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30193, 30192, 30158])).
% 17.15/12.31 tff(30195,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB13)) <=> v1(constB13))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30196,plain,
% 17.15/12.31 ((~v39(constB13)) <=> v1(constB13)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30195, 139])).
% 17.15/12.31 tff(30197,plain,
% 17.15/12.31 ((~((~v39(constB13)) <=> v1(constB13))) | v39(constB13) | v1(constB13)),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30198,plain,
% 17.15/12.31 ((~((~v39(constB13)) <=> v1(constB13))) | v39(constB13)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30197, 1866])).
% 17.15/12.31 tff(30199,plain,
% 17.15/12.31 (v39(constB13)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30198, 30196])).
% 17.15/12.31 tff(30200,plain,
% 17.15/12.31 ((~((~v39(constB13)) | (~v9(constB13)))) | (~v39(constB13)) | (~v9(constB13))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30201,plain,
% 17.15/12.31 ((~((~v39(constB13)) | (~v9(constB13)))) | (~v9(constB13))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30200, 30199])).
% 17.15/12.31 tff(30202,plain,
% 17.15/12.31 (~((~v39(constB13)) | (~v9(constB13)))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30201, 30194])).
% 17.15/12.31 tff(30203,plain,
% 17.15/12.31 ((~(v141(constB13) <=> (~((~v39(constB13)) | (~v9(constB13)))))) | v141(constB13) | ((~v39(constB13)) | (~v9(constB13)))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30204,plain,
% 17.15/12.31 (v141(constB13)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30203, 30202, 30154])).
% 17.15/12.31 tff(30205,plain,
% 17.15/12.31 ((v141(constB13) | v26(constB13)) | (~v141(constB13))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30206,plain,
% 17.15/12.31 (v141(constB13) | v26(constB13)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30205, 30204])).
% 17.15/12.31 tff(30207,plain,
% 17.15/12.31 ((~(v140(constB13) <=> (v141(constB13) | v26(constB13)))) | v140(constB13) | (~(v141(constB13) | v26(constB13)))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30208,plain,
% 17.15/12.31 (v140(constB13)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30207, 30206, 30152])).
% 17.15/12.31 tff(30209,plain,
% 17.15/12.31 ((~((~v139(constB13)) <=> v140(constB13))) | (~v139(constB13)) | (~v140(constB13))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30210,plain,
% 17.15/12.31 (~v139(constB13)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30209, 30208, 30150])).
% 17.15/12.31 tff(30211,plain,
% 17.15/12.31 (((~v132(constB13)) | (~v139(constB13))) | v139(constB13)),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30212,plain,
% 17.15/12.31 ((~v132(constB13)) | (~v139(constB13))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30211, 30210])).
% 17.15/12.31 tff(30213,plain,
% 17.15/12.31 ((~(v138(constB13) <=> (~((~v132(constB13)) | (~v139(constB13)))))) | (~v138(constB13)) | (~((~v132(constB13)) | (~v139(constB13))))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30214,plain,
% 17.15/12.31 (~v138(constB13)),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30213, 30212, 30148])).
% 17.15/12.31 tff(30215,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB13) <=> (~((~v143(constB13)) | (~v144(constB13)))))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30216,plain,
% 17.15/12.31 (v142(constB13) <=> (~((~v143(constB13)) | (~v144(constB13))))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30215, 596])).
% 17.15/12.31 tff(30217,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB13) <=> (~((~v141(constB13)) | (~v145(constB13)))))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30218,plain,
% 17.15/12.31 (v144(constB13) <=> (~((~v141(constB13)) | (~v145(constB13))))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30217, 608])).
% 17.15/12.31 tff(30219,plain,
% 17.15/12.31 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))))),
% 17.15/12.31 inference(quant_inst,[status(thm)],[])).
% 17.15/12.31 tff(30220,plain,
% 17.15/12.31 (v145(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30219, 755])).
% 17.15/12.31 tff(30221,plain,
% 17.15/12.31 ((v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))) | (~v84(constB13, 2))),
% 17.15/12.31 inference(tautology,[status(thm)],[])).
% 17.15/12.31 tff(30222,plain,
% 17.15/12.31 (v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))),
% 17.15/12.31 inference(unit_resolution,[status(thm)],[30221, 3415])).
% 17.15/12.31 tff(30223,plain,
% 17.15/12.31 ((~(v145(constB13) <=> (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0)))))) | (~v145(constB13)) | (~(v84(constB13, 1) | v84(constB13, 2) | (~v84(constB13, 0))))),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30224,plain,
% 17.15/12.32 (~v145(constB13)),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30223, 30222, 30220])).
% 17.15/12.32 tff(30225,plain,
% 17.15/12.32 (((~v141(constB13)) | (~v145(constB13))) | v145(constB13)),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30226,plain,
% 17.15/12.32 ((~v141(constB13)) | (~v145(constB13))),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30225, 30224])).
% 17.15/12.32 tff(30227,plain,
% 17.15/12.32 ((~(v144(constB13) <=> (~((~v141(constB13)) | (~v145(constB13)))))) | (~v144(constB13)) | (~((~v141(constB13)) | (~v145(constB13))))),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30228,plain,
% 17.15/12.32 (~v144(constB13)),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30227, 30226, 30218])).
% 17.15/12.32 tff(30229,plain,
% 17.15/12.32 (((~v143(constB13)) | (~v144(constB13))) | v144(constB13)),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30230,plain,
% 17.15/12.32 ((~v143(constB13)) | (~v144(constB13))),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30229, 30228])).
% 17.15/12.32 tff(30231,plain,
% 17.15/12.32 ((~(v142(constB13) <=> (~((~v143(constB13)) | (~v144(constB13)))))) | (~v142(constB13)) | (~((~v143(constB13)) | (~v144(constB13))))),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30232,plain,
% 17.15/12.32 (~v142(constB13)),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30231, 30230, 30216])).
% 17.15/12.32 tff(30233,plain,
% 17.15/12.32 ((~(v138(constB13) | v142(constB13))) | v138(constB13) | v142(constB13)),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30234,plain,
% 17.15/12.32 (~(v138(constB13) | v142(constB13))),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30233, 30232, 30214])).
% 17.15/12.32 tff(30235,plain,
% 17.15/12.32 ((~(v135(constB13) <=> (v138(constB13) | v142(constB13)))) | (~v135(constB13)) | (v138(constB13) | v142(constB13))),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30236,plain,
% 17.15/12.32 (~v135(constB13)),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30235, 30234, 30141])).
% 17.15/12.32 tff(30237,plain,
% 17.15/12.32 ((~(v137(constB14) <=> v135(constB13))) | (~v137(constB14)) | v135(constB13)),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30238,plain,
% 17.15/12.32 (~v137(constB14)),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30237, 30236, 30139])).
% 17.15/12.32 tff(30239,plain,
% 17.15/12.32 ((~(v132(constB14) <=> v137(constB14))) | (~v132(constB14)) | v137(constB14)),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30240,plain,
% 17.15/12.32 (~v132(constB14)),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30239, 30238, 30135])).
% 17.15/12.32 tff(30241,plain,
% 17.15/12.32 (((~v132(constB14)) | (~v139(constB14))) | v132(constB14)),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30242,plain,
% 17.15/12.32 ((~v132(constB14)) | (~v139(constB14))),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30241, 30240])).
% 17.15/12.32 tff(30243,plain,
% 17.15/12.32 ((~(v138(constB14) <=> (~((~v132(constB14)) | (~v139(constB14)))))) | (~v138(constB14)) | (~((~v132(constB14)) | (~v139(constB14))))),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30244,plain,
% 17.15/12.32 (~v138(constB14)),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30243, 30242, 30133])).
% 17.15/12.32 tff(30245,plain,
% 17.15/12.32 ((~(v138(constB14) | v142(constB14))) | v138(constB14) | v142(constB14)),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30246,plain,
% 17.15/12.32 (~(v138(constB14) | v142(constB14))),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30245, 30244, 30126])).
% 17.15/12.32 tff(30247,plain,
% 17.15/12.32 ((~(v135(constB14) <=> (v138(constB14) | v142(constB14)))) | (~v135(constB14)) | (v138(constB14) | v142(constB14))),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30248,plain,
% 17.15/12.32 (~v135(constB14)),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30247, 30246, 30101])).
% 17.15/12.32 tff(30249,plain,
% 17.15/12.32 ((~(v137(constB15) <=> v135(constB14))) | (~v137(constB15)) | v135(constB14)),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30250,plain,
% 17.15/12.32 (~v137(constB15)),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30249, 30248, 30099])).
% 17.15/12.32 tff(30251,plain,
% 17.15/12.32 ((~(v132(constB15) <=> v137(constB15))) | (~v132(constB15)) | v137(constB15)),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30252,plain,
% 17.15/12.32 (~v132(constB15)),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30251, 30250, 30095])).
% 17.15/12.32 tff(30253,plain,
% 17.15/12.32 (((~v132(constB15)) | (~v155(constB15))) | v132(constB15)),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30254,plain,
% 17.15/12.32 ((~v132(constB15)) | (~v155(constB15))),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30253, 30252])).
% 17.15/12.32 tff(30255,plain,
% 17.15/12.32 ((~(v154(constB15) <=> (~((~v132(constB15)) | (~v155(constB15)))))) | (~v154(constB15)) | (~((~v132(constB15)) | (~v155(constB15))))),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30256,plain,
% 17.15/12.32 (~v154(constB15)),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30255, 30254, 30093])).
% 17.15/12.32 tff(30257,plain,
% 17.15/12.32 ((~(v153(constB15) | v154(constB15))) | v153(constB15) | v154(constB15)),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30258,plain,
% 17.15/12.32 (~(v153(constB15) | v154(constB15))),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30257, 30256, 30086])).
% 17.15/12.32 tff(30259,plain,
% 17.15/12.32 ((~(v150(constB15) <=> (v153(constB15) | v154(constB15)))) | (~v150(constB15)) | (v153(constB15) | v154(constB15))),
% 17.15/12.32 inference(tautology,[status(thm)],[])).
% 17.15/12.32 tff(30260,plain,
% 17.15/12.32 (~v150(constB15)),
% 17.15/12.32 inference(unit_resolution,[status(thm)],[30259, 30258, 30013])).
% 17.19/12.32 tff(30261,plain,
% 17.19/12.32 ((~(v152(constB16) <=> v150(constB15))) | (~v152(constB16)) | v150(constB15)),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30262,plain,
% 17.19/12.32 (~v152(constB16)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30261, 30260, 30011])).
% 17.19/12.32 tff(30263,plain,
% 17.19/12.32 ((~(v130(constB16) <=> v152(constB16))) | (~v130(constB16)) | v152(constB16)),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30264,plain,
% 17.19/12.32 (~v130(constB16)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30263, 30262, 30007])).
% 17.19/12.32 tff(30265,plain,
% 17.19/12.32 (((~v130(constB16)) | (~v139(constB16))) | v130(constB16)),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30266,plain,
% 17.19/12.32 ((~v130(constB16)) | (~v139(constB16))),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30265, 30264])).
% 17.19/12.32 tff(30267,plain,
% 17.19/12.32 ((~(v153(constB16) <=> (~((~v130(constB16)) | (~v139(constB16)))))) | (~v153(constB16)) | (~((~v130(constB16)) | (~v139(constB16))))),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30268,plain,
% 17.19/12.32 (~v153(constB16)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30267, 30266, 30005])).
% 17.19/12.32 tff(30269,plain,
% 17.19/12.32 ((~(v153(constB16) | v154(constB16))) | v153(constB16) | v154(constB16)),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30270,plain,
% 17.19/12.32 (~(v153(constB16) | v154(constB16))),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30269, 30268, 29998])).
% 17.19/12.32 tff(30271,plain,
% 17.19/12.32 ((~(v150(constB16) <=> (v153(constB16) | v154(constB16)))) | (~v150(constB16)) | (v153(constB16) | v154(constB16))),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30272,plain,
% 17.19/12.32 (~v150(constB16)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30271, 30270, 29963])).
% 17.19/12.32 tff(30273,plain,
% 17.19/12.32 ((~(v152(constB17) <=> v150(constB16))) | (~v152(constB17)) | v150(constB16)),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30274,plain,
% 17.19/12.32 (~v152(constB17)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30273, 30272, 29961])).
% 17.19/12.32 tff(30275,plain,
% 17.19/12.32 ((~(v130(constB17) <=> v152(constB17))) | (~v130(constB17)) | v152(constB17)),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30276,plain,
% 17.19/12.32 (~v130(constB17)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30275, 30274, 29957])).
% 17.19/12.32 tff(30277,plain,
% 17.19/12.32 (((~v130(constB17)) | (~v155(constB17))) | v130(constB17)),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30278,plain,
% 17.19/12.32 ((~v130(constB17)) | (~v155(constB17))),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30277, 30276])).
% 17.19/12.32 tff(30279,plain,
% 17.19/12.32 ((~(v164(constB17) <=> (~((~v130(constB17)) | (~v155(constB17)))))) | (~v164(constB17)) | (~((~v130(constB17)) | (~v155(constB17))))),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30280,plain,
% 17.19/12.32 (~v164(constB17)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30279, 30278, 29955])).
% 17.19/12.32 tff(30281,plain,
% 17.19/12.32 ((~(v163(constB17) | v164(constB17))) | v163(constB17) | v164(constB17)),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30282,plain,
% 17.19/12.32 (~(v163(constB17) | v164(constB17))),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30281, 30280, 29948])).
% 17.19/12.32 tff(30283,plain,
% 17.19/12.32 ((~(v160(constB17) <=> (v163(constB17) | v164(constB17)))) | (~v160(constB17)) | (v163(constB17) | v164(constB17))),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30284,plain,
% 17.19/12.32 (~v160(constB17)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30283, 30282, 29875])).
% 17.19/12.32 tff(30285,plain,
% 17.19/12.32 ((~(v162(constB18) <=> v160(constB17))) | (~v162(constB18)) | v160(constB17)),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30286,plain,
% 17.19/12.32 (~v162(constB18)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30285, 30284, 29873])).
% 17.19/12.32 tff(30287,plain,
% 17.19/12.32 ((~(v128(constB18) <=> v162(constB18))) | (~v128(constB18)) | v162(constB18)),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30288,plain,
% 17.19/12.32 (~v128(constB18)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30287, 30286, 29869])).
% 17.19/12.32 tff(30289,plain,
% 17.19/12.32 (((~v128(constB18)) | (~v139(constB18))) | v128(constB18)),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30290,plain,
% 17.19/12.32 ((~v128(constB18)) | (~v139(constB18))),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30289, 30288])).
% 17.19/12.32 tff(30291,plain,
% 17.19/12.32 ((~(v163(constB18) <=> (~((~v128(constB18)) | (~v139(constB18)))))) | (~v163(constB18)) | (~((~v128(constB18)) | (~v139(constB18))))),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30292,plain,
% 17.19/12.32 (~v163(constB18)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30291, 30290, 29867])).
% 17.19/12.32 tff(30293,plain,
% 17.19/12.32 ((~(v163(constB18) | v164(constB18))) | v163(constB18) | v164(constB18)),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30294,plain,
% 17.19/12.32 (~(v163(constB18) | v164(constB18))),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30293, 30292, 29860])).
% 17.19/12.32 tff(30295,plain,
% 17.19/12.32 ((~(v160(constB18) <=> (v163(constB18) | v164(constB18)))) | (~v160(constB18)) | (v163(constB18) | v164(constB18))),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30296,plain,
% 17.19/12.32 (~v160(constB18)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30295, 30294, 29825])).
% 17.19/12.32 tff(30297,plain,
% 17.19/12.32 ((~(v162(constB19) <=> v160(constB18))) | (~v162(constB19)) | v160(constB18)),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30298,plain,
% 17.19/12.32 (~v162(constB19)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30297, 30296, 29823])).
% 17.19/12.32 tff(30299,plain,
% 17.19/12.32 ($false),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30298, 29819])).
% 17.19/12.32 tff(30300,plain,(~(constB19 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.19/12.32 tff(30301,assumption,(constB47 = VarCurr!0), introduced(assumption)).
% 17.19/12.32 tff(30302,plain,
% 17.19/12.32 (v162(constB47) <=> v162(VarCurr!0)),
% 17.19/12.32 inference(monotonicity,[status(thm)],[30301])).
% 17.19/12.32 tff(30303,plain,
% 17.19/12.32 (v162(VarCurr!0) <=> v162(constB47)),
% 17.19/12.32 inference(symmetry,[status(thm)],[30302])).
% 17.19/12.32 tff(30304,plain,
% 17.19/12.32 (v162(constB47)),
% 17.19/12.32 inference(modus_ponens,[status(thm)],[59, 30303])).
% 17.19/12.32 tff(30305,plain,
% 17.19/12.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB46, constB47)) | (v162(constB47) <=> v160(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB46, constB47)) | (v162(constB47) <=> v160(constB46)))),
% 17.19/12.32 inference(rewrite,[status(thm)],[])).
% 17.19/12.32 tff(30306,plain,
% 17.19/12.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB46, constB47)) | (v162(constB47) <=> v160(constB46)))),
% 17.19/12.32 inference(quant_inst,[status(thm)],[])).
% 17.19/12.32 tff(30307,plain,
% 17.19/12.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB46, constB47)) | (v162(constB47) <=> v160(constB46))),
% 17.19/12.32 inference(modus_ponens,[status(thm)],[30306, 30305])).
% 17.19/12.32 tff(30308,plain,
% 17.19/12.32 (v162(constB47) <=> v160(constB46)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30307, 376, 70])).
% 17.19/12.32 tff(30309,plain,
% 17.19/12.32 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB46) <=> (v163(constB46) | v164(constB46)))),
% 17.19/12.32 inference(quant_inst,[status(thm)],[])).
% 17.19/12.32 tff(30310,plain,
% 17.19/12.32 (v160(constB46) <=> (v163(constB46) | v164(constB46))),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30309, 84])).
% 17.19/12.32 tff(30311,plain,
% 17.19/12.32 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v130(constB46)) | (~v155(constB46)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v130(constB46)) | (~v155(constB46))))))),
% 17.19/12.32 inference(rewrite,[status(thm)],[])).
% 17.19/12.32 tff(30312,plain,
% 17.19/12.32 ((v164(constB46) <=> (~((~v155(constB46)) | (~v130(constB46))))) <=> (v164(constB46) <=> (~((~v130(constB46)) | (~v155(constB46)))))),
% 17.19/12.32 inference(rewrite,[status(thm)],[])).
% 17.19/12.32 tff(30313,plain,
% 17.19/12.32 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v155(constB46)) | (~v130(constB46)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v130(constB46)) | (~v155(constB46))))))),
% 17.19/12.32 inference(monotonicity,[status(thm)],[30312])).
% 17.19/12.32 tff(30314,plain,
% 17.19/12.32 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v155(constB46)) | (~v130(constB46)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v130(constB46)) | (~v155(constB46))))))),
% 17.19/12.32 inference(transitivity,[status(thm)],[30313, 30311])).
% 17.19/12.32 tff(30315,plain,
% 17.19/12.32 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v155(constB46)) | (~v130(constB46)))))),
% 17.19/12.32 inference(quant_inst,[status(thm)],[])).
% 17.19/12.32 tff(30316,plain,
% 17.19/12.32 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v130(constB46)) | (~v155(constB46)))))),
% 17.19/12.32 inference(modus_ponens,[status(thm)],[30315, 30314])).
% 17.19/12.32 tff(30317,plain,
% 17.19/12.32 (v164(constB46) <=> (~((~v130(constB46)) | (~v155(constB46))))),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30316, 96])).
% 17.19/12.32 tff(30318,plain,
% 17.19/12.32 (((~v130(constB46)) | (~v155(constB46))) | v155(constB46)),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30319,plain,
% 17.19/12.32 ((~v130(constB46)) | (~v155(constB46))),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30318, 433])).
% 17.19/12.32 tff(30320,plain,
% 17.19/12.32 ((~(v164(constB46) <=> (~((~v130(constB46)) | (~v155(constB46)))))) | (~v164(constB46)) | (~((~v130(constB46)) | (~v155(constB46))))),
% 17.19/12.32 inference(tautology,[status(thm)],[])).
% 17.19/12.32 tff(30321,plain,
% 17.19/12.32 (~v164(constB46)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30320, 30319, 30317])).
% 17.19/12.32 tff(30322,plain,
% 17.19/12.32 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46))))))),
% 17.19/12.32 inference(rewrite,[status(thm)],[])).
% 17.19/12.32 tff(30323,plain,
% 17.19/12.32 ((v163(constB46) <=> (~((~v139(constB46)) | (~v128(constB46))))) <=> (v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46)))))),
% 17.19/12.32 inference(rewrite,[status(thm)],[])).
% 17.19/12.32 tff(30324,plain,
% 17.19/12.32 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v139(constB46)) | (~v128(constB46)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46))))))),
% 17.19/12.32 inference(monotonicity,[status(thm)],[30323])).
% 17.19/12.32 tff(30325,plain,
% 17.19/12.32 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v139(constB46)) | (~v128(constB46)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46))))))),
% 17.19/12.32 inference(transitivity,[status(thm)],[30324, 30322])).
% 17.19/12.32 tff(30326,plain,
% 17.19/12.32 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v139(constB46)) | (~v128(constB46)))))),
% 17.19/12.32 inference(quant_inst,[status(thm)],[])).
% 17.19/12.32 tff(30327,plain,
% 17.19/12.32 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46)))))),
% 17.19/12.32 inference(modus_ponens,[status(thm)],[30326, 30325])).
% 17.19/12.32 tff(30328,plain,
% 17.19/12.32 (v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46))))),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30327, 171])).
% 17.19/12.32 tff(30329,plain,
% 17.19/12.32 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB46) <=> v162(constB46))),
% 17.19/12.32 inference(quant_inst,[status(thm)],[])).
% 17.19/12.32 tff(30330,plain,
% 17.19/12.32 (v128(constB46) <=> v162(constB46)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30329, 13])).
% 17.19/12.32 tff(30331,plain,
% 17.19/12.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB45, constB46)) | (v162(constB46) <=> v160(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB45, constB46)) | (v162(constB46) <=> v160(constB45)))),
% 17.19/12.32 inference(rewrite,[status(thm)],[])).
% 17.19/12.32 tff(30332,plain,
% 17.19/12.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB45, constB46)) | (v162(constB46) <=> v160(constB45)))),
% 17.19/12.32 inference(quant_inst,[status(thm)],[])).
% 17.19/12.32 tff(30333,plain,
% 17.19/12.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB45, constB46)) | (v162(constB46) <=> v160(constB45))),
% 17.19/12.32 inference(modus_ponens,[status(thm)],[30332, 30331])).
% 17.19/12.32 tff(30334,plain,
% 17.19/12.32 (v162(constB46) <=> v160(constB45)),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30333, 459, 70])).
% 17.19/12.32 tff(30335,plain,
% 17.19/12.32 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB45) <=> (v163(constB45) | v164(constB45)))),
% 17.19/12.32 inference(quant_inst,[status(thm)],[])).
% 17.19/12.32 tff(30336,plain,
% 17.19/12.32 (v160(constB45) <=> (v163(constB45) | v164(constB45))),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30335, 84])).
% 17.19/12.32 tff(30337,plain,
% 17.19/12.32 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45))))))),
% 17.19/12.32 inference(rewrite,[status(thm)],[])).
% 17.19/12.32 tff(30338,plain,
% 17.19/12.32 ((v163(constB45) <=> (~((~v139(constB45)) | (~v128(constB45))))) <=> (v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45)))))),
% 17.19/12.32 inference(rewrite,[status(thm)],[])).
% 17.19/12.32 tff(30339,plain,
% 17.19/12.32 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v139(constB45)) | (~v128(constB45)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45))))))),
% 17.19/12.32 inference(monotonicity,[status(thm)],[30338])).
% 17.19/12.32 tff(30340,plain,
% 17.19/12.32 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v139(constB45)) | (~v128(constB45)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45))))))),
% 17.19/12.32 inference(transitivity,[status(thm)],[30339, 30337])).
% 17.19/12.32 tff(30341,plain,
% 17.19/12.32 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v139(constB45)) | (~v128(constB45)))))),
% 17.19/12.32 inference(quant_inst,[status(thm)],[])).
% 17.19/12.32 tff(30342,plain,
% 17.19/12.32 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45)))))),
% 17.19/12.32 inference(modus_ponens,[status(thm)],[30341, 30340])).
% 17.19/12.32 tff(30343,plain,
% 17.19/12.32 (v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45))))),
% 17.19/12.32 inference(unit_resolution,[status(thm)],[30342, 171])).
% 17.19/12.33 tff(30344,plain,
% 17.19/12.33 (((~v128(constB45)) | (~v139(constB45))) | v139(constB45)),
% 17.19/12.33 inference(tautology,[status(thm)],[])).
% 17.19/12.33 tff(30345,plain,
% 17.19/12.33 ((~v128(constB45)) | (~v139(constB45))),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30344, 537])).
% 17.19/12.33 tff(30346,plain,
% 17.19/12.33 ((~(v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45)))))) | (~v163(constB45)) | (~((~v128(constB45)) | (~v139(constB45))))),
% 17.19/12.33 inference(tautology,[status(thm)],[])).
% 17.19/12.33 tff(30347,plain,
% 17.19/12.33 (~v163(constB45)),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30346, 30345, 30343])).
% 17.19/12.33 tff(30348,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v130(constB45)) | (~v155(constB45)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v130(constB45)) | (~v155(constB45))))))),
% 17.19/12.33 inference(rewrite,[status(thm)],[])).
% 17.19/12.33 tff(30349,plain,
% 17.19/12.33 ((v164(constB45) <=> (~((~v155(constB45)) | (~v130(constB45))))) <=> (v164(constB45) <=> (~((~v130(constB45)) | (~v155(constB45)))))),
% 17.19/12.33 inference(rewrite,[status(thm)],[])).
% 17.19/12.33 tff(30350,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v155(constB45)) | (~v130(constB45)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v130(constB45)) | (~v155(constB45))))))),
% 17.19/12.33 inference(monotonicity,[status(thm)],[30349])).
% 17.19/12.33 tff(30351,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v155(constB45)) | (~v130(constB45)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v130(constB45)) | (~v155(constB45))))))),
% 17.19/12.33 inference(transitivity,[status(thm)],[30350, 30348])).
% 17.19/12.33 tff(30352,plain,
% 17.19/12.33 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v155(constB45)) | (~v130(constB45)))))),
% 17.19/12.33 inference(quant_inst,[status(thm)],[])).
% 17.19/12.33 tff(30353,plain,
% 17.19/12.33 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v130(constB45)) | (~v155(constB45)))))),
% 17.19/12.33 inference(modus_ponens,[status(thm)],[30352, 30351])).
% 17.19/12.33 tff(30354,plain,
% 17.19/12.33 (v164(constB45) <=> (~((~v130(constB45)) | (~v155(constB45))))),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30353, 96])).
% 17.19/12.33 tff(30355,plain,
% 17.19/12.33 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB45) <=> v152(constB45))),
% 17.19/12.33 inference(quant_inst,[status(thm)],[])).
% 17.19/12.33 tff(30356,plain,
% 17.19/12.33 (v130(constB45) <=> v152(constB45)),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30355, 361])).
% 17.19/12.33 tff(30357,plain,
% 17.19/12.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB44, constB45)) | (v152(constB45) <=> v150(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB44, constB45)) | (v152(constB45) <=> v150(constB44)))),
% 17.19/12.33 inference(rewrite,[status(thm)],[])).
% 17.19/12.33 tff(30358,plain,
% 17.19/12.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB44, constB45)) | (v152(constB45) <=> v150(constB44)))),
% 17.19/12.33 inference(quant_inst,[status(thm)],[])).
% 17.19/12.33 tff(30359,plain,
% 17.19/12.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB44, constB45)) | (v152(constB45) <=> v150(constB44))),
% 17.19/12.33 inference(modus_ponens,[status(thm)],[30358, 30357])).
% 17.19/12.33 tff(30360,plain,
% 17.19/12.33 (v152(constB45) <=> v150(constB44)),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30359, 573, 373])).
% 17.19/12.33 tff(30361,plain,
% 17.19/12.33 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB44) <=> (v153(constB44) | v154(constB44)))),
% 17.19/12.33 inference(quant_inst,[status(thm)],[])).
% 17.19/12.33 tff(30362,plain,
% 17.19/12.33 (v150(constB44) <=> (v153(constB44) | v154(constB44))),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30361, 387])).
% 17.19/12.33 tff(30363,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB44) <=> (~((~v132(constB44)) | (~v155(constB44)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB44) <=> (~((~v132(constB44)) | (~v155(constB44))))))),
% 17.19/12.33 inference(rewrite,[status(thm)],[])).
% 17.19/12.33 tff(30364,plain,
% 17.19/12.33 ((v154(constB44) <=> (~((~v155(constB44)) | (~v132(constB44))))) <=> (v154(constB44) <=> (~((~v132(constB44)) | (~v155(constB44)))))),
% 17.19/12.33 inference(rewrite,[status(thm)],[])).
% 17.19/12.33 tff(30365,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB44) <=> (~((~v155(constB44)) | (~v132(constB44)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB44) <=> (~((~v132(constB44)) | (~v155(constB44))))))),
% 17.19/12.33 inference(monotonicity,[status(thm)],[30364])).
% 17.19/12.33 tff(30366,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB44) <=> (~((~v155(constB44)) | (~v132(constB44)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB44) <=> (~((~v132(constB44)) | (~v155(constB44))))))),
% 17.19/12.33 inference(transitivity,[status(thm)],[30365, 30363])).
% 17.19/12.33 tff(30367,plain,
% 17.19/12.33 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB44) <=> (~((~v155(constB44)) | (~v132(constB44)))))),
% 17.19/12.33 inference(quant_inst,[status(thm)],[])).
% 17.19/12.33 tff(30368,plain,
% 17.19/12.33 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB44) <=> (~((~v132(constB44)) | (~v155(constB44)))))),
% 17.19/12.33 inference(modus_ponens,[status(thm)],[30367, 30366])).
% 17.19/12.33 tff(30369,plain,
% 17.19/12.33 (v154(constB44) <=> (~((~v132(constB44)) | (~v155(constB44))))),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30368, 399])).
% 17.19/12.33 tff(30370,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB44) <=> (~((~v141(constB44)) | (~v143(constB44)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB44) <=> (~((~v141(constB44)) | (~v143(constB44))))))),
% 17.19/12.33 inference(rewrite,[status(thm)],[])).
% 17.19/12.33 tff(30371,plain,
% 17.19/12.33 ((v155(constB44) <=> (~((~v143(constB44)) | (~v141(constB44))))) <=> (v155(constB44) <=> (~((~v141(constB44)) | (~v143(constB44)))))),
% 17.19/12.33 inference(rewrite,[status(thm)],[])).
% 17.19/12.33 tff(30372,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB44) <=> (~((~v143(constB44)) | (~v141(constB44)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB44) <=> (~((~v141(constB44)) | (~v143(constB44))))))),
% 17.19/12.33 inference(monotonicity,[status(thm)],[30371])).
% 17.19/12.33 tff(30373,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB44) <=> (~((~v143(constB44)) | (~v141(constB44)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB44) <=> (~((~v141(constB44)) | (~v143(constB44))))))),
% 17.19/12.33 inference(transitivity,[status(thm)],[30372, 30370])).
% 17.19/12.33 tff(30374,plain,
% 17.19/12.33 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB44) <=> (~((~v143(constB44)) | (~v141(constB44)))))),
% 17.19/12.33 inference(quant_inst,[status(thm)],[])).
% 17.19/12.33 tff(30375,plain,
% 17.19/12.33 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB44) <=> (~((~v141(constB44)) | (~v143(constB44)))))),
% 17.19/12.33 inference(modus_ponens,[status(thm)],[30374, 30373])).
% 17.19/12.33 tff(30376,plain,
% 17.19/12.33 (v155(constB44) <=> (~((~v141(constB44)) | (~v143(constB44))))),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30375, 113])).
% 17.19/12.33 tff(30377,plain,
% 17.19/12.33 (((~v141(constB44)) | (~v143(constB44))) | v141(constB44)),
% 17.19/12.33 inference(tautology,[status(thm)],[])).
% 17.19/12.33 tff(30378,plain,
% 17.19/12.33 ((~v141(constB44)) | (~v143(constB44))),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30377, 625])).
% 17.19/12.33 tff(30379,plain,
% 17.19/12.33 ((~(v155(constB44) <=> (~((~v141(constB44)) | (~v143(constB44)))))) | (~v155(constB44)) | (~((~v141(constB44)) | (~v143(constB44))))),
% 17.19/12.33 inference(tautology,[status(thm)],[])).
% 17.19/12.33 tff(30380,plain,
% 17.19/12.33 ((~(v155(constB44) <=> (~((~v141(constB44)) | (~v143(constB44)))))) | (~v155(constB44))),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30379, 30378])).
% 17.19/12.33 tff(30381,plain,
% 17.19/12.33 (~v155(constB44)),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30380, 30376])).
% 17.19/12.33 tff(30382,plain,
% 17.19/12.33 (((~v132(constB44)) | (~v155(constB44))) | v155(constB44)),
% 17.19/12.33 inference(tautology,[status(thm)],[])).
% 17.19/12.33 tff(30383,plain,
% 17.19/12.33 ((~v132(constB44)) | (~v155(constB44))),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30382, 30381])).
% 17.19/12.33 tff(30384,plain,
% 17.19/12.33 ((~(v154(constB44) <=> (~((~v132(constB44)) | (~v155(constB44)))))) | (~v154(constB44)) | (~((~v132(constB44)) | (~v155(constB44))))),
% 17.19/12.33 inference(tautology,[status(thm)],[])).
% 17.19/12.33 tff(30385,plain,
% 17.19/12.33 (~v154(constB44)),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30384, 30383, 30369])).
% 17.19/12.33 tff(30386,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB44) <=> (~((~v130(constB44)) | (~v139(constB44)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB44) <=> (~((~v130(constB44)) | (~v139(constB44))))))),
% 17.19/12.33 inference(rewrite,[status(thm)],[])).
% 17.19/12.33 tff(30387,plain,
% 17.19/12.33 ((v153(constB44) <=> (~((~v139(constB44)) | (~v130(constB44))))) <=> (v153(constB44) <=> (~((~v130(constB44)) | (~v139(constB44)))))),
% 17.19/12.33 inference(rewrite,[status(thm)],[])).
% 17.19/12.33 tff(30388,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB44) <=> (~((~v139(constB44)) | (~v130(constB44)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB44) <=> (~((~v130(constB44)) | (~v139(constB44))))))),
% 17.19/12.33 inference(monotonicity,[status(thm)],[30387])).
% 17.19/12.33 tff(30389,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB44) <=> (~((~v139(constB44)) | (~v130(constB44)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB44) <=> (~((~v130(constB44)) | (~v139(constB44))))))),
% 17.19/12.33 inference(transitivity,[status(thm)],[30388, 30386])).
% 17.19/12.33 tff(30390,plain,
% 17.19/12.33 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB44) <=> (~((~v139(constB44)) | (~v130(constB44)))))),
% 17.19/12.33 inference(quant_inst,[status(thm)],[])).
% 17.19/12.33 tff(30391,plain,
% 17.19/12.33 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB44) <=> (~((~v130(constB44)) | (~v139(constB44)))))),
% 17.19/12.33 inference(modus_ponens,[status(thm)],[30390, 30389])).
% 17.19/12.33 tff(30392,plain,
% 17.19/12.33 (v153(constB44) <=> (~((~v130(constB44)) | (~v139(constB44))))),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30391, 447])).
% 17.19/12.33 tff(30393,plain,
% 17.19/12.33 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB44) <=> v152(constB44))),
% 17.19/12.33 inference(quant_inst,[status(thm)],[])).
% 17.19/12.33 tff(30394,plain,
% 17.19/12.33 (v130(constB44) <=> v152(constB44)),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30393, 361])).
% 17.19/12.33 tff(30395,plain,
% 17.19/12.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB43, constB44)) | (v152(constB44) <=> v150(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB43, constB44)) | (v152(constB44) <=> v150(constB43)))),
% 17.19/12.33 inference(rewrite,[status(thm)],[])).
% 17.19/12.33 tff(30396,plain,
% 17.19/12.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB43, constB44)) | (v152(constB44) <=> v150(constB43)))),
% 17.19/12.33 inference(quant_inst,[status(thm)],[])).
% 17.19/12.33 tff(30397,plain,
% 17.19/12.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB43, constB44)) | (v152(constB44) <=> v150(constB43))),
% 17.19/12.33 inference(modus_ponens,[status(thm)],[30396, 30395])).
% 17.19/12.33 tff(30398,plain,
% 17.19/12.33 (v152(constB44) <=> v150(constB43)),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30397, 656, 373])).
% 17.19/12.33 tff(30399,plain,
% 17.19/12.33 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB43) <=> (v153(constB43) | v154(constB43)))),
% 17.19/12.33 inference(quant_inst,[status(thm)],[])).
% 17.19/12.33 tff(30400,plain,
% 17.19/12.33 (v150(constB43) <=> (v153(constB43) | v154(constB43))),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30399, 387])).
% 17.19/12.33 tff(30401,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB43) <=> (~((~v130(constB43)) | (~v139(constB43)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB43) <=> (~((~v130(constB43)) | (~v139(constB43))))))),
% 17.19/12.33 inference(rewrite,[status(thm)],[])).
% 17.19/12.33 tff(30402,plain,
% 17.19/12.33 ((v153(constB43) <=> (~((~v139(constB43)) | (~v130(constB43))))) <=> (v153(constB43) <=> (~((~v130(constB43)) | (~v139(constB43)))))),
% 17.19/12.33 inference(rewrite,[status(thm)],[])).
% 17.19/12.33 tff(30403,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB43) <=> (~((~v139(constB43)) | (~v130(constB43)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB43) <=> (~((~v130(constB43)) | (~v139(constB43))))))),
% 17.19/12.33 inference(monotonicity,[status(thm)],[30402])).
% 17.19/12.33 tff(30404,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB43) <=> (~((~v139(constB43)) | (~v130(constB43)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB43) <=> (~((~v130(constB43)) | (~v139(constB43))))))),
% 17.19/12.33 inference(transitivity,[status(thm)],[30403, 30401])).
% 17.19/12.33 tff(30405,plain,
% 17.19/12.33 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB43) <=> (~((~v139(constB43)) | (~v130(constB43)))))),
% 17.19/12.33 inference(quant_inst,[status(thm)],[])).
% 17.19/12.33 tff(30406,plain,
% 17.19/12.33 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB43) <=> (~((~v130(constB43)) | (~v139(constB43)))))),
% 17.19/12.33 inference(modus_ponens,[status(thm)],[30405, 30404])).
% 17.19/12.33 tff(30407,plain,
% 17.19/12.33 (v153(constB43) <=> (~((~v130(constB43)) | (~v139(constB43))))),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30406, 447])).
% 17.19/12.33 tff(30408,plain,
% 17.19/12.33 (((~v130(constB43)) | (~v139(constB43))) | v139(constB43)),
% 17.19/12.33 inference(tautology,[status(thm)],[])).
% 17.19/12.33 tff(30409,plain,
% 17.19/12.33 ((~v130(constB43)) | (~v139(constB43))),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30408, 734])).
% 17.19/12.33 tff(30410,plain,
% 17.19/12.33 ((~(v153(constB43) <=> (~((~v130(constB43)) | (~v139(constB43)))))) | (~v153(constB43)) | (~((~v130(constB43)) | (~v139(constB43))))),
% 17.19/12.33 inference(tautology,[status(thm)],[])).
% 17.19/12.33 tff(30411,plain,
% 17.19/12.33 (~v153(constB43)),
% 17.19/12.33 inference(unit_resolution,[status(thm)],[30410, 30409, 30407])).
% 17.19/12.33 tff(30412,plain,
% 17.19/12.33 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB43) <=> (~((~v132(constB43)) | (~v155(constB43)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB43) <=> (~((~v132(constB43)) | (~v155(constB43))))))),
% 17.19/12.33 inference(rewrite,[status(thm)],[])).
% 17.19/12.33 tff(30413,plain,
% 17.19/12.33 ((v154(constB43) <=> (~((~v155(constB43)) | (~v132(constB43))))) <=> (v154(constB43) <=> (~((~v132(constB43)) | (~v155(constB43)))))),
% 17.19/12.33 inference(rewrite,[status(thm)],[])).
% 17.20/12.33 tff(30414,plain,
% 17.20/12.33 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB43) <=> (~((~v155(constB43)) | (~v132(constB43)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB43) <=> (~((~v132(constB43)) | (~v155(constB43))))))),
% 17.20/12.33 inference(monotonicity,[status(thm)],[30413])).
% 17.20/12.33 tff(30415,plain,
% 17.20/12.33 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB43) <=> (~((~v155(constB43)) | (~v132(constB43)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB43) <=> (~((~v132(constB43)) | (~v155(constB43))))))),
% 17.20/12.33 inference(transitivity,[status(thm)],[30414, 30412])).
% 17.20/12.33 tff(30416,plain,
% 17.20/12.33 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB43) <=> (~((~v155(constB43)) | (~v132(constB43)))))),
% 17.20/12.33 inference(quant_inst,[status(thm)],[])).
% 17.20/12.33 tff(30417,plain,
% 17.20/12.33 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB43) <=> (~((~v132(constB43)) | (~v155(constB43)))))),
% 17.20/12.33 inference(modus_ponens,[status(thm)],[30416, 30415])).
% 17.20/12.33 tff(30418,plain,
% 17.20/12.33 (v154(constB43) <=> (~((~v132(constB43)) | (~v155(constB43))))),
% 17.20/12.33 inference(unit_resolution,[status(thm)],[30417, 399])).
% 17.20/12.33 tff(30419,plain,
% 17.20/12.33 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB43) <=> v137(constB43))),
% 17.20/12.33 inference(quant_inst,[status(thm)],[])).
% 17.20/12.33 tff(30420,plain,
% 17.20/12.33 (v132(constB43) <=> v137(constB43)),
% 17.20/12.33 inference(unit_resolution,[status(thm)],[30419, 558])).
% 17.20/12.33 tff(30421,plain,
% 17.20/12.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB42, constB43)) | (v137(constB43) <=> v135(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB42, constB43)) | (v137(constB43) <=> v135(constB42)))),
% 17.20/12.33 inference(rewrite,[status(thm)],[])).
% 17.20/12.33 tff(30422,plain,
% 17.20/12.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB42, constB43)) | (v137(constB43) <=> v135(constB42)))),
% 17.20/12.33 inference(quant_inst,[status(thm)],[])).
% 17.20/12.33 tff(30423,plain,
% 17.20/12.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB42, constB43)) | (v137(constB43) <=> v135(constB42))),
% 17.20/12.33 inference(modus_ponens,[status(thm)],[30422, 30421])).
% 17.20/12.33 tff(30424,plain,
% 17.20/12.33 (v137(constB43) <=> v135(constB42)),
% 17.20/12.33 inference(unit_resolution,[status(thm)],[30423, 773, 570])).
% 17.20/12.33 tff(30425,plain,
% 17.20/12.33 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB42) <=> (v138(constB42) | v142(constB42)))),
% 17.20/12.33 inference(quant_inst,[status(thm)],[])).
% 17.20/12.33 tff(30426,plain,
% 17.20/12.33 (v135(constB42) <=> (v138(constB42) | v142(constB42))),
% 17.20/12.33 inference(unit_resolution,[status(thm)],[30425, 584])).
% 17.20/12.33 tff(30427,plain,
% 17.20/12.33 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB42) <=> (~((~v143(constB42)) | (~v144(constB42)))))),
% 17.20/12.33 inference(quant_inst,[status(thm)],[])).
% 17.20/12.33 tff(30428,plain,
% 17.20/12.33 (v142(constB42) <=> (~((~v143(constB42)) | (~v144(constB42))))),
% 17.20/12.33 inference(unit_resolution,[status(thm)],[30427, 596])).
% 17.20/12.33 tff(30429,plain,
% 17.20/12.33 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB42) <=> (~((~v141(constB42)) | (~v145(constB42)))))),
% 17.20/12.33 inference(quant_inst,[status(thm)],[])).
% 17.20/12.33 tff(30430,plain,
% 17.20/12.33 (v144(constB42) <=> (~((~v141(constB42)) | (~v145(constB42))))),
% 17.20/12.33 inference(unit_resolution,[status(thm)],[30429, 608])).
% 17.20/12.33 tff(30431,plain,
% 17.20/12.33 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30432,plain,
% 17.20/12.34 (v141(constB42) <=> (~((~v39(constB42)) | (~v9(constB42))))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30431, 130])).
% 17.20/12.34 tff(30433,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB42)) <=> v1(constB42))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30434,plain,
% 17.20/12.34 ((~v39(constB42)) <=> v1(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30433, 139])).
% 17.20/12.34 tff(30435,plain,
% 17.20/12.34 ((~((~v39(constB42)) <=> v1(constB42))) | (~v39(constB42)) | (~v1(constB42))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30436,plain,
% 17.20/12.34 ((~((~v39(constB42)) <=> v1(constB42))) | (~v39(constB42))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30435, 5729])).
% 17.20/12.34 tff(30437,plain,
% 17.20/12.34 (~v39(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30436, 30434])).
% 17.20/12.34 tff(30438,plain,
% 17.20/12.34 (((~v39(constB42)) | (~v9(constB42))) | v39(constB42)),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30439,plain,
% 17.20/12.34 ((~v39(constB42)) | (~v9(constB42))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30438, 30437])).
% 17.20/12.34 tff(30440,plain,
% 17.20/12.34 ((~(v141(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))) | (~v141(constB42)) | (~((~v39(constB42)) | (~v9(constB42))))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30441,plain,
% 17.20/12.34 ((~(v141(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))) | (~v141(constB42))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30440, 30439])).
% 17.20/12.34 tff(30442,plain,
% 17.20/12.34 (~v141(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30441, 30432])).
% 17.20/12.34 tff(30443,plain,
% 17.20/12.34 (((~v141(constB42)) | (~v145(constB42))) | v141(constB42)),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30444,plain,
% 17.20/12.34 ((~v141(constB42)) | (~v145(constB42))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30443, 30442])).
% 17.20/12.34 tff(30445,plain,
% 17.20/12.34 ((~(v144(constB42) <=> (~((~v141(constB42)) | (~v145(constB42)))))) | (~v144(constB42)) | (~((~v141(constB42)) | (~v145(constB42))))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30446,plain,
% 17.20/12.34 ((~(v144(constB42) <=> (~((~v141(constB42)) | (~v145(constB42)))))) | (~v144(constB42))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30445, 30444])).
% 17.20/12.34 tff(30447,plain,
% 17.20/12.34 (~v144(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30446, 30430])).
% 17.20/12.34 tff(30448,plain,
% 17.20/12.34 (((~v143(constB42)) | (~v144(constB42))) | v144(constB42)),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30449,plain,
% 17.20/12.34 ((~v143(constB42)) | (~v144(constB42))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30448, 30447])).
% 17.20/12.34 tff(30450,plain,
% 17.20/12.34 ((~(v142(constB42) <=> (~((~v143(constB42)) | (~v144(constB42)))))) | (~v142(constB42)) | (~((~v143(constB42)) | (~v144(constB42))))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30451,plain,
% 17.20/12.34 (~v142(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30450, 30449, 30428])).
% 17.20/12.34 tff(30452,plain,
% 17.20/12.34 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42))))))),
% 17.20/12.34 inference(rewrite,[status(thm)],[])).
% 17.20/12.34 tff(30453,plain,
% 17.20/12.34 ((v138(constB42) <=> (~((~v139(constB42)) | (~v132(constB42))))) <=> (v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42)))))),
% 17.20/12.34 inference(rewrite,[status(thm)],[])).
% 17.20/12.34 tff(30454,plain,
% 17.20/12.34 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v139(constB42)) | (~v132(constB42)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42))))))),
% 17.20/12.34 inference(monotonicity,[status(thm)],[30453])).
% 17.20/12.34 tff(30455,plain,
% 17.20/12.34 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v139(constB42)) | (~v132(constB42)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42))))))),
% 17.20/12.34 inference(transitivity,[status(thm)],[30454, 30452])).
% 17.20/12.34 tff(30456,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v139(constB42)) | (~v132(constB42)))))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30457,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42)))))),
% 17.20/12.34 inference(modus_ponens,[status(thm)],[30456, 30455])).
% 17.20/12.34 tff(30458,plain,
% 17.20/12.34 (v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42))))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30457, 644])).
% 17.20/12.34 tff(30459,plain,
% 17.20/12.34 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB42) <=> v137(constB42))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30460,plain,
% 17.20/12.34 (v132(constB42) <=> v137(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30459, 558])).
% 17.20/12.34 tff(30461,plain,
% 17.20/12.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB41, constB42)) | (v137(constB42) <=> v135(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB41, constB42)) | (v137(constB42) <=> v135(constB41)))),
% 17.20/12.34 inference(rewrite,[status(thm)],[])).
% 17.20/12.34 tff(30462,plain,
% 17.20/12.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB41, constB42)) | (v137(constB42) <=> v135(constB41)))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30463,plain,
% 17.20/12.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB41, constB42)) | (v137(constB42) <=> v135(constB41))),
% 17.20/12.34 inference(modus_ponens,[status(thm)],[30462, 30461])).
% 17.20/12.34 tff(30464,plain,
% 17.20/12.34 (v137(constB42) <=> v135(constB41)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30463, 845, 570])).
% 17.20/12.34 tff(30465,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB41) <=> (v138(constB41) | v142(constB41)))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30466,plain,
% 17.20/12.34 (v135(constB41) <=> (v138(constB41) | v142(constB41))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30465, 584])).
% 17.20/12.34 tff(30467,plain,
% 17.20/12.34 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41))))))),
% 17.20/12.34 inference(rewrite,[status(thm)],[])).
% 17.20/12.34 tff(30468,plain,
% 17.20/12.34 ((v138(constB41) <=> (~((~v139(constB41)) | (~v132(constB41))))) <=> (v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41)))))),
% 17.20/12.34 inference(rewrite,[status(thm)],[])).
% 17.20/12.34 tff(30469,plain,
% 17.20/12.34 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v139(constB41)) | (~v132(constB41)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41))))))),
% 17.20/12.34 inference(monotonicity,[status(thm)],[30468])).
% 17.20/12.34 tff(30470,plain,
% 17.20/12.34 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v139(constB41)) | (~v132(constB41)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41))))))),
% 17.20/12.34 inference(transitivity,[status(thm)],[30469, 30467])).
% 17.20/12.34 tff(30471,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v139(constB41)) | (~v132(constB41)))))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30472,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41)))))),
% 17.20/12.34 inference(modus_ponens,[status(thm)],[30471, 30470])).
% 17.20/12.34 tff(30473,plain,
% 17.20/12.34 (v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41))))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30472, 644])).
% 17.20/12.34 tff(30474,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB41)) <=> v140(constB41))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30475,plain,
% 17.20/12.34 ((~v139(constB41)) <=> v140(constB41)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30474, 203])).
% 17.20/12.34 tff(30476,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB41) <=> (v141(constB41) | v26(constB41)))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30477,plain,
% 17.20/12.34 (v140(constB41) <=> (v141(constB41) | v26(constB41))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30476, 212])).
% 17.20/12.34 tff(30478,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB41) <=> (~((~v39(constB41)) | (~v9(constB41)))))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30479,plain,
% 17.20/12.34 (v141(constB41) <=> (~((~v39(constB41)) | (~v9(constB41))))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30478, 130])).
% 17.20/12.34 tff(30480,plain,
% 17.20/12.34 (((~![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)))),
% 17.20/12.34 inference(rewrite,[status(thm)],[])).
% 17.20/12.34 tff(30481,plain,
% 17.20/12.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41)))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30482,plain,
% 17.20/12.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41))),
% 17.20/12.34 inference(modus_ponens,[status(thm)],[30481, 30480])).
% 17.20/12.34 tff(30483,plain,
% 17.20/12.34 (v13(constB42) <=> v9(constB41)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30482, 845, 226])).
% 17.20/12.34 tff(30484,plain,
% 17.20/12.34 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB42) <=> v13(constB42))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30485,plain,
% 17.20/12.34 (v6(constB42) <=> v13(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30484, 240])).
% 17.20/12.34 tff(30486,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB42)) <=> v6(constB42))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30487,plain,
% 17.20/12.34 ((~v21(constB42)) <=> v6(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30486, 249])).
% 17.20/12.34 tff(30488,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB42) <=> (v20(constB42) | v21(constB42)))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30489,plain,
% 17.20/12.34 (v19(constB42) <=> (v20(constB42) | v21(constB42))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30488, 258])).
% 17.20/12.34 tff(30490,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42)))))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30491,plain,
% 17.20/12.34 (v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42))))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30490, 270])).
% 17.20/12.34 tff(30492,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB42)) <=> v18(constB42))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30493,plain,
% 17.20/12.34 ((~v4(constB42)) <=> v18(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30492, 279])).
% 17.20/12.34 tff(30494,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB42)),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30495,plain,
% 17.20/12.34 (v4(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30494, 288])).
% 17.20/12.34 tff(30496,plain,
% 17.20/12.34 ((~((~v4(constB42)) <=> v18(constB42))) | (~v4(constB42)) | (~v18(constB42))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30497,plain,
% 17.20/12.34 (~v18(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30496, 30495, 30493])).
% 17.20/12.34 tff(30498,plain,
% 17.20/12.34 ((~(v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42)))))) | v18(constB42) | ((~v19(constB42)) | (~v22(constB42)))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30499,plain,
% 17.20/12.34 ((~v19(constB42)) | (~v22(constB42))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30498, 30497, 30491])).
% 17.20/12.34 tff(30500,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB42) <=> (v1(constB42) | v6(constB42)))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30501,plain,
% 17.20/12.34 (v22(constB42) <=> (v1(constB42) | v6(constB42))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30500, 301])).
% 17.20/12.34 tff(30502,plain,
% 17.20/12.34 ((v1(constB42) | v6(constB42)) | (~v1(constB42))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30503,plain,
% 17.20/12.34 (v1(constB42) | v6(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30502, 5729])).
% 17.20/12.34 tff(30504,plain,
% 17.20/12.34 ((~(v22(constB42) <=> (v1(constB42) | v6(constB42)))) | v22(constB42) | (~(v1(constB42) | v6(constB42)))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30505,plain,
% 17.20/12.34 ((~(v22(constB42) <=> (v1(constB42) | v6(constB42)))) | v22(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30504, 30503])).
% 17.20/12.34 tff(30506,plain,
% 17.20/12.34 (v22(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30505, 30501])).
% 17.20/12.34 tff(30507,plain,
% 17.20/12.34 ((~((~v19(constB42)) | (~v22(constB42)))) | (~v19(constB42)) | (~v22(constB42))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30508,plain,
% 17.20/12.34 ((~((~v19(constB42)) | (~v22(constB42)))) | (~v19(constB42))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30507, 30506])).
% 17.20/12.34 tff(30509,plain,
% 17.20/12.34 (~v19(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30508, 30499])).
% 17.20/12.34 tff(30510,plain,
% 17.20/12.34 ((~(v19(constB42) <=> (v20(constB42) | v21(constB42)))) | v19(constB42) | (~(v20(constB42) | v21(constB42)))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30511,plain,
% 17.20/12.34 (~(v20(constB42) | v21(constB42))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30510, 30509, 30489])).
% 17.20/12.34 tff(30512,plain,
% 17.20/12.34 ((v20(constB42) | v21(constB42)) | (~v21(constB42))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30513,plain,
% 17.20/12.34 (~v21(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30512, 30511])).
% 17.20/12.34 tff(30514,plain,
% 17.20/12.34 ((~((~v21(constB42)) <=> v6(constB42))) | v21(constB42) | v6(constB42)),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30515,plain,
% 17.20/12.34 (v6(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30514, 30513, 30487])).
% 17.20/12.34 tff(30516,plain,
% 17.20/12.34 ((~(v6(constB42) <=> v13(constB42))) | (~v6(constB42)) | v13(constB42)),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30517,plain,
% 17.20/12.34 (v13(constB42)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30516, 30515, 30485])).
% 17.20/12.34 tff(30518,plain,
% 17.20/12.34 ((~(v13(constB42) <=> v9(constB41))) | (~v13(constB42)) | v9(constB41)),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30519,plain,
% 17.20/12.34 (v9(constB41)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30518, 30517, 30483])).
% 17.20/12.34 tff(30520,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB41)) <=> v1(constB41))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30521,plain,
% 17.20/12.34 ((~v39(constB41)) <=> v1(constB41)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30520, 139])).
% 17.20/12.34 tff(30522,plain,
% 17.20/12.34 ((~((~v39(constB41)) <=> v1(constB41))) | v39(constB41) | v1(constB41)),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30523,plain,
% 17.20/12.34 ((~((~v39(constB41)) <=> v1(constB41))) | v39(constB41)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30522, 930])).
% 17.20/12.34 tff(30524,plain,
% 17.20/12.34 (v39(constB41)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30523, 30521])).
% 17.20/12.34 tff(30525,plain,
% 17.20/12.34 ((~((~v39(constB41)) | (~v9(constB41)))) | (~v39(constB41)) | (~v9(constB41))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30526,plain,
% 17.20/12.34 ((~((~v39(constB41)) | (~v9(constB41)))) | (~v9(constB41))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30525, 30524])).
% 17.20/12.34 tff(30527,plain,
% 17.20/12.34 (~((~v39(constB41)) | (~v9(constB41)))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30526, 30519])).
% 17.20/12.34 tff(30528,plain,
% 17.20/12.34 ((~(v141(constB41) <=> (~((~v39(constB41)) | (~v9(constB41)))))) | v141(constB41) | ((~v39(constB41)) | (~v9(constB41)))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30529,plain,
% 17.20/12.34 (v141(constB41)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30528, 30527, 30479])).
% 17.20/12.34 tff(30530,plain,
% 17.20/12.34 ((v141(constB41) | v26(constB41)) | (~v141(constB41))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30531,plain,
% 17.20/12.34 (v141(constB41) | v26(constB41)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30530, 30529])).
% 17.20/12.34 tff(30532,plain,
% 17.20/12.34 ((~(v140(constB41) <=> (v141(constB41) | v26(constB41)))) | v140(constB41) | (~(v141(constB41) | v26(constB41)))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30533,plain,
% 17.20/12.34 (v140(constB41)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30532, 30531, 30477])).
% 17.20/12.34 tff(30534,plain,
% 17.20/12.34 ((~((~v139(constB41)) <=> v140(constB41))) | (~v139(constB41)) | (~v140(constB41))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30535,plain,
% 17.20/12.34 (~v139(constB41)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30534, 30533, 30475])).
% 17.20/12.34 tff(30536,plain,
% 17.20/12.34 (((~v132(constB41)) | (~v139(constB41))) | v139(constB41)),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30537,plain,
% 17.20/12.34 ((~v132(constB41)) | (~v139(constB41))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30536, 30535])).
% 17.20/12.34 tff(30538,plain,
% 17.20/12.34 ((~(v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41)))))) | (~v138(constB41)) | (~((~v132(constB41)) | (~v139(constB41))))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30539,plain,
% 17.20/12.34 (~v138(constB41)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30538, 30537, 30473])).
% 17.20/12.34 tff(30540,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB41) <=> (~((~v143(constB41)) | (~v144(constB41)))))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30541,plain,
% 17.20/12.34 (v142(constB41) <=> (~((~v143(constB41)) | (~v144(constB41))))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30540, 596])).
% 17.20/12.34 tff(30542,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB41) <=> (~((~v141(constB41)) | (~v145(constB41)))))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30543,plain,
% 17.20/12.34 (v144(constB41) <=> (~((~v141(constB41)) | (~v145(constB41))))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30542, 608])).
% 17.20/12.34 tff(30544,plain,
% 17.20/12.34 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB41) <=> (~(v84(constB41, 1) | v84(constB41, 2) | (~v84(constB41, 0)))))),
% 17.20/12.34 inference(quant_inst,[status(thm)],[])).
% 17.20/12.34 tff(30545,plain,
% 17.20/12.34 (v145(constB41) <=> (~(v84(constB41, 1) | v84(constB41, 2) | (~v84(constB41, 0))))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30544, 755])).
% 17.20/12.34 tff(30546,plain,
% 17.20/12.34 ((v84(constB41, 1) | v84(constB41, 2) | (~v84(constB41, 0))) | (~v84(constB41, 1))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30547,plain,
% 17.20/12.34 (v84(constB41, 1) | v84(constB41, 2) | (~v84(constB41, 0))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30546, 5687])).
% 17.20/12.34 tff(30548,plain,
% 17.20/12.34 ((~(v145(constB41) <=> (~(v84(constB41, 1) | v84(constB41, 2) | (~v84(constB41, 0)))))) | (~v145(constB41)) | (~(v84(constB41, 1) | v84(constB41, 2) | (~v84(constB41, 0))))),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30549,plain,
% 17.20/12.34 (~v145(constB41)),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30548, 30547, 30545])).
% 17.20/12.34 tff(30550,plain,
% 17.20/12.34 (((~v141(constB41)) | (~v145(constB41))) | v145(constB41)),
% 17.20/12.34 inference(tautology,[status(thm)],[])).
% 17.20/12.34 tff(30551,plain,
% 17.20/12.34 ((~v141(constB41)) | (~v145(constB41))),
% 17.20/12.34 inference(unit_resolution,[status(thm)],[30550, 30549])).
% 17.20/12.34 tff(30552,plain,
% 17.20/12.34 ((~(v144(constB41) <=> (~((~v141(constB41)) | (~v145(constB41)))))) | (~v144(constB41)) | (~((~v141(constB41)) | (~v145(constB41))))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30553,plain,
% 17.20/12.35 (~v144(constB41)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30552, 30551, 30543])).
% 17.20/12.35 tff(30554,plain,
% 17.20/12.35 (((~v143(constB41)) | (~v144(constB41))) | v144(constB41)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30555,plain,
% 17.20/12.35 ((~v143(constB41)) | (~v144(constB41))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30554, 30553])).
% 17.20/12.35 tff(30556,plain,
% 17.20/12.35 ((~(v142(constB41) <=> (~((~v143(constB41)) | (~v144(constB41)))))) | (~v142(constB41)) | (~((~v143(constB41)) | (~v144(constB41))))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30557,plain,
% 17.20/12.35 (~v142(constB41)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30556, 30555, 30541])).
% 17.20/12.35 tff(30558,plain,
% 17.20/12.35 ((~(v138(constB41) | v142(constB41))) | v138(constB41) | v142(constB41)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30559,plain,
% 17.20/12.35 (~(v138(constB41) | v142(constB41))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30558, 30557, 30539])).
% 17.20/12.35 tff(30560,plain,
% 17.20/12.35 ((~(v135(constB41) <=> (v138(constB41) | v142(constB41)))) | (~v135(constB41)) | (v138(constB41) | v142(constB41))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30561,plain,
% 17.20/12.35 (~v135(constB41)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30560, 30559, 30466])).
% 17.20/12.35 tff(30562,plain,
% 17.20/12.35 ((~(v137(constB42) <=> v135(constB41))) | (~v137(constB42)) | v135(constB41)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30563,plain,
% 17.20/12.35 (~v137(constB42)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30562, 30561, 30464])).
% 17.20/12.35 tff(30564,plain,
% 17.20/12.35 ((~(v132(constB42) <=> v137(constB42))) | (~v132(constB42)) | v137(constB42)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30565,plain,
% 17.20/12.35 (~v132(constB42)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30564, 30563, 30460])).
% 17.20/12.35 tff(30566,plain,
% 17.20/12.35 (((~v132(constB42)) | (~v139(constB42))) | v132(constB42)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30567,plain,
% 17.20/12.35 ((~v132(constB42)) | (~v139(constB42))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30566, 30565])).
% 17.20/12.35 tff(30568,plain,
% 17.20/12.35 ((~(v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42)))))) | (~v138(constB42)) | (~((~v132(constB42)) | (~v139(constB42))))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30569,plain,
% 17.20/12.35 (~v138(constB42)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30568, 30567, 30458])).
% 17.20/12.35 tff(30570,plain,
% 17.20/12.35 ((~(v138(constB42) | v142(constB42))) | v138(constB42) | v142(constB42)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30571,plain,
% 17.20/12.35 (~(v138(constB42) | v142(constB42))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30570, 30569, 30451])).
% 17.20/12.35 tff(30572,plain,
% 17.20/12.35 ((~(v135(constB42) <=> (v138(constB42) | v142(constB42)))) | (~v135(constB42)) | (v138(constB42) | v142(constB42))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30573,plain,
% 17.20/12.35 (~v135(constB42)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30572, 30571, 30426])).
% 17.20/12.35 tff(30574,plain,
% 17.20/12.35 ((~(v137(constB43) <=> v135(constB42))) | (~v137(constB43)) | v135(constB42)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30575,plain,
% 17.20/12.35 (~v137(constB43)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30574, 30573, 30424])).
% 17.20/12.35 tff(30576,plain,
% 17.20/12.35 ((~(v132(constB43) <=> v137(constB43))) | (~v132(constB43)) | v137(constB43)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30577,plain,
% 17.20/12.35 (~v132(constB43)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30576, 30575, 30420])).
% 17.20/12.35 tff(30578,plain,
% 17.20/12.35 (((~v132(constB43)) | (~v155(constB43))) | v132(constB43)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30579,plain,
% 17.20/12.35 ((~v132(constB43)) | (~v155(constB43))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30578, 30577])).
% 17.20/12.35 tff(30580,plain,
% 17.20/12.35 ((~(v154(constB43) <=> (~((~v132(constB43)) | (~v155(constB43)))))) | (~v154(constB43)) | (~((~v132(constB43)) | (~v155(constB43))))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30581,plain,
% 17.20/12.35 (~v154(constB43)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30580, 30579, 30418])).
% 17.20/12.35 tff(30582,plain,
% 17.20/12.35 ((~(v153(constB43) | v154(constB43))) | v153(constB43) | v154(constB43)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30583,plain,
% 17.20/12.35 (~(v153(constB43) | v154(constB43))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30582, 30581, 30411])).
% 17.20/12.35 tff(30584,plain,
% 17.20/12.35 ((~(v150(constB43) <=> (v153(constB43) | v154(constB43)))) | (~v150(constB43)) | (v153(constB43) | v154(constB43))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30585,plain,
% 17.20/12.35 (~v150(constB43)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30584, 30583, 30400])).
% 17.20/12.35 tff(30586,plain,
% 17.20/12.35 ((~(v152(constB44) <=> v150(constB43))) | (~v152(constB44)) | v150(constB43)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30587,plain,
% 17.20/12.35 (~v152(constB44)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30586, 30585, 30398])).
% 17.20/12.35 tff(30588,plain,
% 17.20/12.35 ((~(v130(constB44) <=> v152(constB44))) | (~v130(constB44)) | v152(constB44)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30589,plain,
% 17.20/12.35 (~v130(constB44)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30588, 30587, 30394])).
% 17.20/12.35 tff(30590,plain,
% 17.20/12.35 (((~v130(constB44)) | (~v139(constB44))) | v130(constB44)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30591,plain,
% 17.20/12.35 ((~v130(constB44)) | (~v139(constB44))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30590, 30589])).
% 17.20/12.35 tff(30592,plain,
% 17.20/12.35 ((~(v153(constB44) <=> (~((~v130(constB44)) | (~v139(constB44)))))) | (~v153(constB44)) | (~((~v130(constB44)) | (~v139(constB44))))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30593,plain,
% 17.20/12.35 (~v153(constB44)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30592, 30591, 30392])).
% 17.20/12.35 tff(30594,plain,
% 17.20/12.35 ((~(v153(constB44) | v154(constB44))) | v153(constB44) | v154(constB44)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30595,plain,
% 17.20/12.35 (~(v153(constB44) | v154(constB44))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30594, 30593, 30385])).
% 17.20/12.35 tff(30596,plain,
% 17.20/12.35 ((~(v150(constB44) <=> (v153(constB44) | v154(constB44)))) | (~v150(constB44)) | (v153(constB44) | v154(constB44))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30597,plain,
% 17.20/12.35 (~v150(constB44)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30596, 30595, 30362])).
% 17.20/12.35 tff(30598,plain,
% 17.20/12.35 ((~(v152(constB45) <=> v150(constB44))) | (~v152(constB45)) | v150(constB44)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30599,plain,
% 17.20/12.35 (~v152(constB45)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30598, 30597, 30360])).
% 17.20/12.35 tff(30600,plain,
% 17.20/12.35 ((~(v130(constB45) <=> v152(constB45))) | (~v130(constB45)) | v152(constB45)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30601,plain,
% 17.20/12.35 (~v130(constB45)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30600, 30599, 30356])).
% 17.20/12.35 tff(30602,plain,
% 17.20/12.35 (((~v130(constB45)) | (~v155(constB45))) | v130(constB45)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30603,plain,
% 17.20/12.35 ((~v130(constB45)) | (~v155(constB45))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30602, 30601])).
% 17.20/12.35 tff(30604,plain,
% 17.20/12.35 ((~(v164(constB45) <=> (~((~v130(constB45)) | (~v155(constB45)))))) | (~v164(constB45)) | (~((~v130(constB45)) | (~v155(constB45))))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30605,plain,
% 17.20/12.35 (~v164(constB45)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30604, 30603, 30354])).
% 17.20/12.35 tff(30606,plain,
% 17.20/12.35 ((~(v163(constB45) | v164(constB45))) | v163(constB45) | v164(constB45)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30607,plain,
% 17.20/12.35 (~(v163(constB45) | v164(constB45))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30606, 30605, 30347])).
% 17.20/12.35 tff(30608,plain,
% 17.20/12.35 ((~(v160(constB45) <=> (v163(constB45) | v164(constB45)))) | (~v160(constB45)) | (v163(constB45) | v164(constB45))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30609,plain,
% 17.20/12.35 (~v160(constB45)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30608, 30607, 30336])).
% 17.20/12.35 tff(30610,plain,
% 17.20/12.35 ((~(v162(constB46) <=> v160(constB45))) | (~v162(constB46)) | v160(constB45)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30611,plain,
% 17.20/12.35 (~v162(constB46)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30610, 30609, 30334])).
% 17.20/12.35 tff(30612,plain,
% 17.20/12.35 ((~(v128(constB46) <=> v162(constB46))) | (~v128(constB46)) | v162(constB46)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30613,plain,
% 17.20/12.35 (~v128(constB46)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30612, 30611, 30330])).
% 17.20/12.35 tff(30614,plain,
% 17.20/12.35 (((~v128(constB46)) | (~v139(constB46))) | v128(constB46)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30615,plain,
% 17.20/12.35 ((~v128(constB46)) | (~v139(constB46))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30614, 30613])).
% 17.20/12.35 tff(30616,plain,
% 17.20/12.35 ((~(v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46)))))) | (~v163(constB46)) | (~((~v128(constB46)) | (~v139(constB46))))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30617,plain,
% 17.20/12.35 (~v163(constB46)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30616, 30615, 30328])).
% 17.20/12.35 tff(30618,plain,
% 17.20/12.35 ((~(v163(constB46) | v164(constB46))) | v163(constB46) | v164(constB46)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30619,plain,
% 17.20/12.35 (~(v163(constB46) | v164(constB46))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30618, 30617, 30321])).
% 17.20/12.35 tff(30620,plain,
% 17.20/12.35 ((~(v160(constB46) <=> (v163(constB46) | v164(constB46)))) | (~v160(constB46)) | (v163(constB46) | v164(constB46))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30621,plain,
% 17.20/12.35 (~v160(constB46)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30620, 30619, 30310])).
% 17.20/12.35 tff(30622,plain,
% 17.20/12.35 ((~(v162(constB47) <=> v160(constB46))) | (~v162(constB47)) | v160(constB46)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30623,plain,
% 17.20/12.35 (~v162(constB47)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30622, 30621, 30308])).
% 17.20/12.35 tff(30624,plain,
% 17.20/12.35 ($false),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30623, 30304])).
% 17.20/12.35 tff(30625,plain,(~(constB47 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.20/12.35 tff(30626,assumption,(constB59 = VarCurr!0), introduced(assumption)).
% 17.20/12.35 tff(30627,plain,
% 17.20/12.35 (v162(constB59) <=> v162(VarCurr!0)),
% 17.20/12.35 inference(monotonicity,[status(thm)],[30626])).
% 17.20/12.35 tff(30628,plain,
% 17.20/12.35 (v162(VarCurr!0) <=> v162(constB59)),
% 17.20/12.35 inference(symmetry,[status(thm)],[30627])).
% 17.20/12.35 tff(30629,plain,
% 17.20/12.35 (v162(constB59)),
% 17.20/12.35 inference(modus_ponens,[status(thm)],[59, 30628])).
% 17.20/12.35 tff(30630,plain,
% 17.20/12.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB58, constB59)) | (v162(constB59) <=> v160(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB58, constB59)) | (v162(constB59) <=> v160(constB58)))),
% 17.20/12.35 inference(rewrite,[status(thm)],[])).
% 17.20/12.35 tff(30631,plain,
% 17.20/12.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB58, constB59)) | (v162(constB59) <=> v160(constB58)))),
% 17.20/12.35 inference(quant_inst,[status(thm)],[])).
% 17.20/12.35 tff(30632,plain,
% 17.20/12.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB58, constB59)) | (v162(constB59) <=> v160(constB58))),
% 17.20/12.35 inference(modus_ponens,[status(thm)],[30631, 30630])).
% 17.20/12.35 tff(30633,plain,
% 17.20/12.35 (v162(constB59) <=> v160(constB58)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30632, 7647, 70])).
% 17.20/12.35 tff(30634,plain,
% 17.20/12.35 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB58) <=> (v163(constB58) | v164(constB58)))),
% 17.20/12.35 inference(quant_inst,[status(thm)],[])).
% 17.20/12.35 tff(30635,plain,
% 17.20/12.35 (v160(constB58) <=> (v163(constB58) | v164(constB58))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30634, 84])).
% 17.20/12.35 tff(30636,plain,
% 17.20/12.35 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v130(constB58)) | (~v155(constB58)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v130(constB58)) | (~v155(constB58))))))),
% 17.20/12.35 inference(rewrite,[status(thm)],[])).
% 17.20/12.35 tff(30637,plain,
% 17.20/12.35 ((v164(constB58) <=> (~((~v155(constB58)) | (~v130(constB58))))) <=> (v164(constB58) <=> (~((~v130(constB58)) | (~v155(constB58)))))),
% 17.20/12.35 inference(rewrite,[status(thm)],[])).
% 17.20/12.35 tff(30638,plain,
% 17.20/12.35 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v155(constB58)) | (~v130(constB58)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v130(constB58)) | (~v155(constB58))))))),
% 17.20/12.35 inference(monotonicity,[status(thm)],[30637])).
% 17.20/12.35 tff(30639,plain,
% 17.20/12.35 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v155(constB58)) | (~v130(constB58)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v130(constB58)) | (~v155(constB58))))))),
% 17.20/12.35 inference(transitivity,[status(thm)],[30638, 30636])).
% 17.20/12.35 tff(30640,plain,
% 17.20/12.35 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v155(constB58)) | (~v130(constB58)))))),
% 17.20/12.35 inference(quant_inst,[status(thm)],[])).
% 17.20/12.35 tff(30641,plain,
% 17.20/12.35 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v130(constB58)) | (~v155(constB58)))))),
% 17.20/12.35 inference(modus_ponens,[status(thm)],[30640, 30639])).
% 17.20/12.35 tff(30642,plain,
% 17.20/12.35 (v164(constB58) <=> (~((~v130(constB58)) | (~v155(constB58))))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30641, 96])).
% 17.20/12.35 tff(30643,plain,
% 17.20/12.35 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB58) <=> (~((~v141(constB58)) | (~v143(constB58)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB58) <=> (~((~v141(constB58)) | (~v143(constB58))))))),
% 17.20/12.35 inference(rewrite,[status(thm)],[])).
% 17.20/12.35 tff(30644,plain,
% 17.20/12.35 ((v155(constB58) <=> (~((~v143(constB58)) | (~v141(constB58))))) <=> (v155(constB58) <=> (~((~v141(constB58)) | (~v143(constB58)))))),
% 17.20/12.35 inference(rewrite,[status(thm)],[])).
% 17.20/12.35 tff(30645,plain,
% 17.20/12.35 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB58) <=> (~((~v143(constB58)) | (~v141(constB58)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB58) <=> (~((~v141(constB58)) | (~v143(constB58))))))),
% 17.20/12.35 inference(monotonicity,[status(thm)],[30644])).
% 17.20/12.35 tff(30646,plain,
% 17.20/12.35 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB58) <=> (~((~v143(constB58)) | (~v141(constB58)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB58) <=> (~((~v141(constB58)) | (~v143(constB58))))))),
% 17.20/12.35 inference(transitivity,[status(thm)],[30645, 30643])).
% 17.20/12.35 tff(30647,plain,
% 17.20/12.35 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB58) <=> (~((~v143(constB58)) | (~v141(constB58)))))),
% 17.20/12.35 inference(quant_inst,[status(thm)],[])).
% 17.20/12.35 tff(30648,plain,
% 17.20/12.35 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB58) <=> (~((~v141(constB58)) | (~v143(constB58)))))),
% 17.20/12.35 inference(modus_ponens,[status(thm)],[30647, 30646])).
% 17.20/12.35 tff(30649,plain,
% 17.20/12.35 (v155(constB58) <=> (~((~v141(constB58)) | (~v143(constB58))))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30648, 113])).
% 17.20/12.35 tff(30650,plain,
% 17.20/12.35 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB58) <=> (~((~v39(constB58)) | (~v9(constB58)))))),
% 17.20/12.35 inference(quant_inst,[status(thm)],[])).
% 17.20/12.35 tff(30651,plain,
% 17.20/12.35 (v141(constB58) <=> (~((~v39(constB58)) | (~v9(constB58))))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30650, 130])).
% 17.20/12.35 tff(30652,plain,
% 17.20/12.35 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB58)) <=> v1(constB58))),
% 17.20/12.35 inference(quant_inst,[status(thm)],[])).
% 17.20/12.35 tff(30653,plain,
% 17.20/12.35 ((~v39(constB58)) <=> v1(constB58)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30652, 139])).
% 17.20/12.35 tff(30654,plain,
% 17.20/12.35 ((~((~v39(constB58)) <=> v1(constB58))) | (~v39(constB58)) | (~v1(constB58))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30655,plain,
% 17.20/12.35 ((~((~v39(constB58)) <=> v1(constB58))) | (~v39(constB58))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30654, 9316])).
% 17.20/12.35 tff(30656,plain,
% 17.20/12.35 (~v39(constB58)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30655, 30653])).
% 17.20/12.35 tff(30657,plain,
% 17.20/12.35 (((~v39(constB58)) | (~v9(constB58))) | v39(constB58)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30658,plain,
% 17.20/12.35 ((~v39(constB58)) | (~v9(constB58))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30657, 30656])).
% 17.20/12.35 tff(30659,plain,
% 17.20/12.35 ((~(v141(constB58) <=> (~((~v39(constB58)) | (~v9(constB58)))))) | (~v141(constB58)) | (~((~v39(constB58)) | (~v9(constB58))))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30660,plain,
% 17.20/12.35 ((~(v141(constB58) <=> (~((~v39(constB58)) | (~v9(constB58)))))) | (~v141(constB58))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30659, 30658])).
% 17.20/12.35 tff(30661,plain,
% 17.20/12.35 (~v141(constB58)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30660, 30651])).
% 17.20/12.35 tff(30662,plain,
% 17.20/12.35 (((~v141(constB58)) | (~v143(constB58))) | v141(constB58)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30663,plain,
% 17.20/12.35 ((~v141(constB58)) | (~v143(constB58))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30662, 30661])).
% 17.20/12.35 tff(30664,plain,
% 17.20/12.35 ((~(v155(constB58) <=> (~((~v141(constB58)) | (~v143(constB58)))))) | (~v155(constB58)) | (~((~v141(constB58)) | (~v143(constB58))))),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30665,plain,
% 17.20/12.35 ((~(v155(constB58) <=> (~((~v141(constB58)) | (~v143(constB58)))))) | (~v155(constB58))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30664, 30663])).
% 17.20/12.35 tff(30666,plain,
% 17.20/12.35 (~v155(constB58)),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30665, 30649])).
% 17.20/12.35 tff(30667,plain,
% 17.20/12.35 (((~v130(constB58)) | (~v155(constB58))) | v155(constB58)),
% 17.20/12.35 inference(tautology,[status(thm)],[])).
% 17.20/12.35 tff(30668,plain,
% 17.20/12.35 ((~v130(constB58)) | (~v155(constB58))),
% 17.20/12.35 inference(unit_resolution,[status(thm)],[30667, 30666])).
% 17.20/12.35 tff(30669,plain,
% 17.20/12.36 ((~(v164(constB58) <=> (~((~v130(constB58)) | (~v155(constB58)))))) | (~v164(constB58)) | (~((~v130(constB58)) | (~v155(constB58))))),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30670,plain,
% 17.20/12.36 (~v164(constB58)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30669, 30668, 30642])).
% 17.20/12.36 tff(30671,plain,
% 17.20/12.36 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58))))))),
% 17.20/12.36 inference(rewrite,[status(thm)],[])).
% 17.20/12.36 tff(30672,plain,
% 17.20/12.36 ((v163(constB58) <=> (~((~v139(constB58)) | (~v128(constB58))))) <=> (v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58)))))),
% 17.20/12.36 inference(rewrite,[status(thm)],[])).
% 17.20/12.36 tff(30673,plain,
% 17.20/12.36 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v139(constB58)) | (~v128(constB58)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58))))))),
% 17.20/12.36 inference(monotonicity,[status(thm)],[30672])).
% 17.20/12.36 tff(30674,plain,
% 17.20/12.36 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v139(constB58)) | (~v128(constB58)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58))))))),
% 17.20/12.36 inference(transitivity,[status(thm)],[30673, 30671])).
% 17.20/12.36 tff(30675,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v139(constB58)) | (~v128(constB58)))))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30676,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58)))))),
% 17.20/12.36 inference(modus_ponens,[status(thm)],[30675, 30674])).
% 17.20/12.36 tff(30677,plain,
% 17.20/12.36 (v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58))))),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30676, 171])).
% 17.20/12.36 tff(30678,plain,
% 17.20/12.36 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB58) <=> v162(constB58))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30679,plain,
% 17.20/12.36 (v128(constB58) <=> v162(constB58)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30678, 13])).
% 17.20/12.36 tff(30680,plain,
% 17.20/12.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB57, constB58)) | (v162(constB58) <=> v160(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB57, constB58)) | (v162(constB58) <=> v160(constB57)))),
% 17.20/12.36 inference(rewrite,[status(thm)],[])).
% 17.20/12.36 tff(30681,plain,
% 17.20/12.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB57, constB58)) | (v162(constB58) <=> v160(constB57)))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30682,plain,
% 17.20/12.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB57, constB58)) | (v162(constB58) <=> v160(constB57))),
% 17.20/12.36 inference(modus_ponens,[status(thm)],[30681, 30680])).
% 17.20/12.36 tff(30683,plain,
% 17.20/12.36 (v162(constB58) <=> v160(constB57)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30682, 7683, 70])).
% 17.20/12.36 tff(30684,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB57) <=> (v163(constB57) | v164(constB57)))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30685,plain,
% 17.20/12.36 (v160(constB57) <=> (v163(constB57) | v164(constB57))),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30684, 84])).
% 17.20/12.36 tff(30686,plain,
% 17.20/12.36 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57))))))),
% 17.20/12.36 inference(rewrite,[status(thm)],[])).
% 17.20/12.36 tff(30687,plain,
% 17.20/12.36 ((v163(constB57) <=> (~((~v139(constB57)) | (~v128(constB57))))) <=> (v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57)))))),
% 17.20/12.36 inference(rewrite,[status(thm)],[])).
% 17.20/12.36 tff(30688,plain,
% 17.20/12.36 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v139(constB57)) | (~v128(constB57)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57))))))),
% 17.20/12.36 inference(monotonicity,[status(thm)],[30687])).
% 17.20/12.36 tff(30689,plain,
% 17.20/12.36 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v139(constB57)) | (~v128(constB57)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57))))))),
% 17.20/12.36 inference(transitivity,[status(thm)],[30688, 30686])).
% 17.20/12.36 tff(30690,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v139(constB57)) | (~v128(constB57)))))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30691,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57)))))),
% 17.20/12.36 inference(modus_ponens,[status(thm)],[30690, 30689])).
% 17.20/12.36 tff(30692,plain,
% 17.20/12.36 (v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57))))),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30691, 171])).
% 17.20/12.36 tff(30693,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB57)) <=> v140(constB57))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30694,plain,
% 17.20/12.36 ((~v139(constB57)) <=> v140(constB57)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30693, 203])).
% 17.20/12.36 tff(30695,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB57) <=> (v141(constB57) | v26(constB57)))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30696,plain,
% 17.20/12.36 (v140(constB57) <=> (v141(constB57) | v26(constB57))),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30695, 212])).
% 17.20/12.36 tff(30697,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB57) <=> (~((~v39(constB57)) | (~v9(constB57)))))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30698,plain,
% 17.20/12.36 (v141(constB57) <=> (~((~v39(constB57)) | (~v9(constB57))))),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30697, 130])).
% 17.20/12.36 tff(30699,plain,
% 17.20/12.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB57, constB58)) | (v13(constB58) <=> v9(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB57, constB58)) | (v13(constB58) <=> v9(constB57)))),
% 17.20/12.36 inference(rewrite,[status(thm)],[])).
% 17.20/12.36 tff(30700,plain,
% 17.20/12.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB57, constB58)) | (v13(constB58) <=> v9(constB57)))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30701,plain,
% 17.20/12.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB57, constB58)) | (v13(constB58) <=> v9(constB57))),
% 17.20/12.36 inference(modus_ponens,[status(thm)],[30700, 30699])).
% 17.20/12.36 tff(30702,plain,
% 17.20/12.36 (v13(constB58) <=> v9(constB57)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30701, 7683, 226])).
% 17.20/12.36 tff(30703,plain,
% 17.20/12.36 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB58) <=> v13(constB58))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30704,plain,
% 17.20/12.36 (v6(constB58) <=> v13(constB58)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30703, 240])).
% 17.20/12.36 tff(30705,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB58)) <=> v6(constB58))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30706,plain,
% 17.20/12.36 ((~v21(constB58)) <=> v6(constB58)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30705, 249])).
% 17.20/12.36 tff(30707,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB58) <=> (v20(constB58) | v21(constB58)))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30708,plain,
% 17.20/12.36 (v19(constB58) <=> (v20(constB58) | v21(constB58))),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30707, 258])).
% 17.20/12.36 tff(30709,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB58) <=> (~((~v19(constB58)) | (~v22(constB58)))))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30710,plain,
% 17.20/12.36 (v18(constB58) <=> (~((~v19(constB58)) | (~v22(constB58))))),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30709, 270])).
% 17.20/12.36 tff(30711,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB58)) <=> v18(constB58))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30712,plain,
% 17.20/12.36 ((~v4(constB58)) <=> v18(constB58)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30711, 279])).
% 17.20/12.36 tff(30713,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB58)),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30714,plain,
% 17.20/12.36 (v4(constB58)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30713, 288])).
% 17.20/12.36 tff(30715,plain,
% 17.20/12.36 ((~((~v4(constB58)) <=> v18(constB58))) | (~v4(constB58)) | (~v18(constB58))),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30716,plain,
% 17.20/12.36 (~v18(constB58)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30715, 30714, 30712])).
% 17.20/12.36 tff(30717,plain,
% 17.20/12.36 ((~(v18(constB58) <=> (~((~v19(constB58)) | (~v22(constB58)))))) | v18(constB58) | ((~v19(constB58)) | (~v22(constB58)))),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30718,plain,
% 17.20/12.36 ((~v19(constB58)) | (~v22(constB58))),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30717, 30716, 30710])).
% 17.20/12.36 tff(30719,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB58) <=> (v1(constB58) | v6(constB58)))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30720,plain,
% 17.20/12.36 (v22(constB58) <=> (v1(constB58) | v6(constB58))),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30719, 301])).
% 17.20/12.36 tff(30721,plain,
% 17.20/12.36 ((v1(constB58) | v6(constB58)) | (~v1(constB58))),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30722,plain,
% 17.20/12.36 (v1(constB58) | v6(constB58)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30721, 9316])).
% 17.20/12.36 tff(30723,plain,
% 17.20/12.36 ((~(v22(constB58) <=> (v1(constB58) | v6(constB58)))) | v22(constB58) | (~(v1(constB58) | v6(constB58)))),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30724,plain,
% 17.20/12.36 ((~(v22(constB58) <=> (v1(constB58) | v6(constB58)))) | v22(constB58)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30723, 30722])).
% 17.20/12.36 tff(30725,plain,
% 17.20/12.36 (v22(constB58)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30724, 30720])).
% 17.20/12.36 tff(30726,plain,
% 17.20/12.36 ((~((~v19(constB58)) | (~v22(constB58)))) | (~v19(constB58)) | (~v22(constB58))),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30727,plain,
% 17.20/12.36 ((~((~v19(constB58)) | (~v22(constB58)))) | (~v19(constB58))),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30726, 30725])).
% 17.20/12.36 tff(30728,plain,
% 17.20/12.36 (~v19(constB58)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30727, 30718])).
% 17.20/12.36 tff(30729,plain,
% 17.20/12.36 ((~(v19(constB58) <=> (v20(constB58) | v21(constB58)))) | v19(constB58) | (~(v20(constB58) | v21(constB58)))),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30730,plain,
% 17.20/12.36 (~(v20(constB58) | v21(constB58))),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30729, 30728, 30708])).
% 17.20/12.36 tff(30731,plain,
% 17.20/12.36 ((v20(constB58) | v21(constB58)) | (~v21(constB58))),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30732,plain,
% 17.20/12.36 (~v21(constB58)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30731, 30730])).
% 17.20/12.36 tff(30733,plain,
% 17.20/12.36 ((~((~v21(constB58)) <=> v6(constB58))) | v21(constB58) | v6(constB58)),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30734,plain,
% 17.20/12.36 (v6(constB58)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30733, 30732, 30706])).
% 17.20/12.36 tff(30735,plain,
% 17.20/12.36 ((~(v6(constB58) <=> v13(constB58))) | (~v6(constB58)) | v13(constB58)),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30736,plain,
% 17.20/12.36 (v13(constB58)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30735, 30734, 30704])).
% 17.20/12.36 tff(30737,plain,
% 17.20/12.36 ((~(v13(constB58) <=> v9(constB57))) | (~v13(constB58)) | v9(constB57)),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30738,plain,
% 17.20/12.36 (v9(constB57)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30737, 30736, 30702])).
% 17.20/12.36 tff(30739,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB57)) <=> v1(constB57))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30740,plain,
% 17.20/12.36 ((~v39(constB57)) <=> v1(constB57)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30739, 139])).
% 17.20/12.36 tff(30741,plain,
% 17.20/12.36 ((~((~v39(constB57)) <=> v1(constB57))) | v39(constB57) | v1(constB57)),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30742,plain,
% 17.20/12.36 ((~((~v39(constB57)) <=> v1(constB57))) | v39(constB57)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30741, 7722])).
% 17.20/12.36 tff(30743,plain,
% 17.20/12.36 (v39(constB57)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30742, 30740])).
% 17.20/12.36 tff(30744,plain,
% 17.20/12.36 ((~((~v39(constB57)) | (~v9(constB57)))) | (~v39(constB57)) | (~v9(constB57))),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30745,plain,
% 17.20/12.36 ((~((~v39(constB57)) | (~v9(constB57)))) | (~v9(constB57))),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30744, 30743])).
% 17.20/12.36 tff(30746,plain,
% 17.20/12.36 (~((~v39(constB57)) | (~v9(constB57)))),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30745, 30738])).
% 17.20/12.36 tff(30747,plain,
% 17.20/12.36 ((~(v141(constB57) <=> (~((~v39(constB57)) | (~v9(constB57)))))) | v141(constB57) | ((~v39(constB57)) | (~v9(constB57)))),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30748,plain,
% 17.20/12.36 (v141(constB57)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30747, 30746, 30698])).
% 17.20/12.36 tff(30749,plain,
% 17.20/12.36 ((v141(constB57) | v26(constB57)) | (~v141(constB57))),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30750,plain,
% 17.20/12.36 (v141(constB57) | v26(constB57)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30749, 30748])).
% 17.20/12.36 tff(30751,plain,
% 17.20/12.36 ((~(v140(constB57) <=> (v141(constB57) | v26(constB57)))) | v140(constB57) | (~(v141(constB57) | v26(constB57)))),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30752,plain,
% 17.20/12.36 (v140(constB57)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30751, 30750, 30696])).
% 17.20/12.36 tff(30753,plain,
% 17.20/12.36 ((~((~v139(constB57)) <=> v140(constB57))) | (~v139(constB57)) | (~v140(constB57))),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30754,plain,
% 17.20/12.36 (~v139(constB57)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30753, 30752, 30694])).
% 17.20/12.36 tff(30755,plain,
% 17.20/12.36 (((~v128(constB57)) | (~v139(constB57))) | v139(constB57)),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30756,plain,
% 17.20/12.36 ((~v128(constB57)) | (~v139(constB57))),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30755, 30754])).
% 17.20/12.36 tff(30757,plain,
% 17.20/12.36 ((~(v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57)))))) | (~v163(constB57)) | (~((~v128(constB57)) | (~v139(constB57))))),
% 17.20/12.36 inference(tautology,[status(thm)],[])).
% 17.20/12.36 tff(30758,plain,
% 17.20/12.36 (~v163(constB57)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30757, 30756, 30692])).
% 17.20/12.36 tff(30759,plain,
% 17.20/12.36 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v130(constB57)) | (~v155(constB57)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v130(constB57)) | (~v155(constB57))))))),
% 17.20/12.36 inference(rewrite,[status(thm)],[])).
% 17.20/12.36 tff(30760,plain,
% 17.20/12.36 ((v164(constB57) <=> (~((~v155(constB57)) | (~v130(constB57))))) <=> (v164(constB57) <=> (~((~v130(constB57)) | (~v155(constB57)))))),
% 17.20/12.36 inference(rewrite,[status(thm)],[])).
% 17.20/12.36 tff(30761,plain,
% 17.20/12.36 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v155(constB57)) | (~v130(constB57)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v130(constB57)) | (~v155(constB57))))))),
% 17.20/12.36 inference(monotonicity,[status(thm)],[30760])).
% 17.20/12.36 tff(30762,plain,
% 17.20/12.36 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v155(constB57)) | (~v130(constB57)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v130(constB57)) | (~v155(constB57))))))),
% 17.20/12.36 inference(transitivity,[status(thm)],[30761, 30759])).
% 17.20/12.36 tff(30763,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v155(constB57)) | (~v130(constB57)))))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30764,plain,
% 17.20/12.36 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v130(constB57)) | (~v155(constB57)))))),
% 17.20/12.36 inference(modus_ponens,[status(thm)],[30763, 30762])).
% 17.20/12.36 tff(30765,plain,
% 17.20/12.36 (v164(constB57) <=> (~((~v130(constB57)) | (~v155(constB57))))),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30764, 96])).
% 17.20/12.36 tff(30766,plain,
% 17.20/12.36 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB57) <=> v152(constB57))),
% 17.20/12.36 inference(quant_inst,[status(thm)],[])).
% 17.20/12.36 tff(30767,plain,
% 17.20/12.36 (v130(constB57) <=> v152(constB57)),
% 17.20/12.36 inference(unit_resolution,[status(thm)],[30766, 361])).
% 17.20/12.36 tff(30768,plain,
% 17.20/12.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB56, constB57)) | (v152(constB57) <=> v150(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB56, constB57)) | (v152(constB57) <=> v150(constB56)))),
% 17.20/12.37 inference(rewrite,[status(thm)],[])).
% 17.20/12.37 tff(30769,plain,
% 17.20/12.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB56, constB57)) | (v152(constB57) <=> v150(constB56)))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30770,plain,
% 17.20/12.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB56, constB57)) | (v152(constB57) <=> v150(constB56))),
% 17.20/12.37 inference(modus_ponens,[status(thm)],[30769, 30768])).
% 17.20/12.37 tff(30771,plain,
% 17.20/12.37 (v152(constB57) <=> v150(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30770, 7708, 373])).
% 17.20/12.37 tff(30772,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB56) <=> (v153(constB56) | v154(constB56)))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30773,plain,
% 17.20/12.37 (v150(constB56) <=> (v153(constB56) | v154(constB56))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30772, 387])).
% 17.20/12.37 tff(30774,plain,
% 17.20/12.37 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB56) <=> (~((~v132(constB56)) | (~v155(constB56)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB56) <=> (~((~v132(constB56)) | (~v155(constB56))))))),
% 17.20/12.37 inference(rewrite,[status(thm)],[])).
% 17.20/12.37 tff(30775,plain,
% 17.20/12.37 ((v154(constB56) <=> (~((~v155(constB56)) | (~v132(constB56))))) <=> (v154(constB56) <=> (~((~v132(constB56)) | (~v155(constB56)))))),
% 17.20/12.37 inference(rewrite,[status(thm)],[])).
% 17.20/12.37 tff(30776,plain,
% 17.20/12.37 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB56) <=> (~((~v155(constB56)) | (~v132(constB56)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB56) <=> (~((~v132(constB56)) | (~v155(constB56))))))),
% 17.20/12.37 inference(monotonicity,[status(thm)],[30775])).
% 17.20/12.37 tff(30777,plain,
% 17.20/12.37 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB56) <=> (~((~v155(constB56)) | (~v132(constB56)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB56) <=> (~((~v132(constB56)) | (~v155(constB56))))))),
% 17.20/12.37 inference(transitivity,[status(thm)],[30776, 30774])).
% 17.20/12.37 tff(30778,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB56) <=> (~((~v155(constB56)) | (~v132(constB56)))))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30779,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB56) <=> (~((~v132(constB56)) | (~v155(constB56)))))),
% 17.20/12.37 inference(modus_ponens,[status(thm)],[30778, 30777])).
% 17.20/12.37 tff(30780,plain,
% 17.20/12.37 (v154(constB56) <=> (~((~v132(constB56)) | (~v155(constB56))))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30779, 399])).
% 17.20/12.37 tff(30781,plain,
% 17.20/12.37 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB56) <=> (~((~v141(constB56)) | (~v143(constB56)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB56) <=> (~((~v141(constB56)) | (~v143(constB56))))))),
% 17.20/12.37 inference(rewrite,[status(thm)],[])).
% 17.20/12.37 tff(30782,plain,
% 17.20/12.37 ((v155(constB56) <=> (~((~v143(constB56)) | (~v141(constB56))))) <=> (v155(constB56) <=> (~((~v141(constB56)) | (~v143(constB56)))))),
% 17.20/12.37 inference(rewrite,[status(thm)],[])).
% 17.20/12.37 tff(30783,plain,
% 17.20/12.37 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB56) <=> (~((~v143(constB56)) | (~v141(constB56)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB56) <=> (~((~v141(constB56)) | (~v143(constB56))))))),
% 17.20/12.37 inference(monotonicity,[status(thm)],[30782])).
% 17.20/12.37 tff(30784,plain,
% 17.20/12.37 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB56) <=> (~((~v143(constB56)) | (~v141(constB56)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB56) <=> (~((~v141(constB56)) | (~v143(constB56))))))),
% 17.20/12.37 inference(transitivity,[status(thm)],[30783, 30781])).
% 17.20/12.37 tff(30785,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB56) <=> (~((~v143(constB56)) | (~v141(constB56)))))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30786,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB56) <=> (~((~v141(constB56)) | (~v143(constB56)))))),
% 17.20/12.37 inference(modus_ponens,[status(thm)],[30785, 30784])).
% 17.20/12.37 tff(30787,plain,
% 17.20/12.37 (v155(constB56) <=> (~((~v141(constB56)) | (~v143(constB56))))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30786, 113])).
% 17.20/12.37 tff(30788,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30789,plain,
% 17.20/12.37 (v141(constB56) <=> (~((~v39(constB56)) | (~v9(constB56))))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30788, 130])).
% 17.20/12.37 tff(30790,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB56)) <=> v1(constB56))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30791,plain,
% 17.20/12.37 ((~v39(constB56)) <=> v1(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30790, 139])).
% 17.20/12.37 tff(30792,plain,
% 17.20/12.37 ((~((~v39(constB56)) <=> v1(constB56))) | (~v39(constB56)) | (~v1(constB56))),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30793,plain,
% 17.20/12.37 ((~((~v39(constB56)) <=> v1(constB56))) | (~v39(constB56))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30792, 9179])).
% 17.20/12.37 tff(30794,plain,
% 17.20/12.37 (~v39(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30793, 30791])).
% 17.20/12.37 tff(30795,plain,
% 17.20/12.37 (((~v39(constB56)) | (~v9(constB56))) | v39(constB56)),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30796,plain,
% 17.20/12.37 ((~v39(constB56)) | (~v9(constB56))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30795, 30794])).
% 17.20/12.37 tff(30797,plain,
% 17.20/12.37 ((~(v141(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))) | (~v141(constB56)) | (~((~v39(constB56)) | (~v9(constB56))))),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30798,plain,
% 17.20/12.37 ((~(v141(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))) | (~v141(constB56))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30797, 30796])).
% 17.20/12.37 tff(30799,plain,
% 17.20/12.37 (~v141(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30798, 30789])).
% 17.20/12.37 tff(30800,plain,
% 17.20/12.37 (((~v141(constB56)) | (~v143(constB56))) | v141(constB56)),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30801,plain,
% 17.20/12.37 ((~v141(constB56)) | (~v143(constB56))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30800, 30799])).
% 17.20/12.37 tff(30802,plain,
% 17.20/12.37 ((~(v155(constB56) <=> (~((~v141(constB56)) | (~v143(constB56)))))) | (~v155(constB56)) | (~((~v141(constB56)) | (~v143(constB56))))),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30803,plain,
% 17.20/12.37 ((~(v155(constB56) <=> (~((~v141(constB56)) | (~v143(constB56)))))) | (~v155(constB56))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30802, 30801])).
% 17.20/12.37 tff(30804,plain,
% 17.20/12.37 (~v155(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30803, 30787])).
% 17.20/12.37 tff(30805,plain,
% 17.20/12.37 (((~v132(constB56)) | (~v155(constB56))) | v155(constB56)),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30806,plain,
% 17.20/12.37 ((~v132(constB56)) | (~v155(constB56))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30805, 30804])).
% 17.20/12.37 tff(30807,plain,
% 17.20/12.37 ((~(v154(constB56) <=> (~((~v132(constB56)) | (~v155(constB56)))))) | (~v154(constB56)) | (~((~v132(constB56)) | (~v155(constB56))))),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30808,plain,
% 17.20/12.37 (~v154(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30807, 30806, 30780])).
% 17.20/12.37 tff(30809,plain,
% 17.20/12.37 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB56) <=> (~((~v130(constB56)) | (~v139(constB56)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB56) <=> (~((~v130(constB56)) | (~v139(constB56))))))),
% 17.20/12.37 inference(rewrite,[status(thm)],[])).
% 17.20/12.37 tff(30810,plain,
% 17.20/12.37 ((v153(constB56) <=> (~((~v139(constB56)) | (~v130(constB56))))) <=> (v153(constB56) <=> (~((~v130(constB56)) | (~v139(constB56)))))),
% 17.20/12.37 inference(rewrite,[status(thm)],[])).
% 17.20/12.37 tff(30811,plain,
% 17.20/12.37 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB56) <=> (~((~v139(constB56)) | (~v130(constB56)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB56) <=> (~((~v130(constB56)) | (~v139(constB56))))))),
% 17.20/12.37 inference(monotonicity,[status(thm)],[30810])).
% 17.20/12.37 tff(30812,plain,
% 17.20/12.37 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB56) <=> (~((~v139(constB56)) | (~v130(constB56)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB56) <=> (~((~v130(constB56)) | (~v139(constB56))))))),
% 17.20/12.37 inference(transitivity,[status(thm)],[30811, 30809])).
% 17.20/12.37 tff(30813,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB56) <=> (~((~v139(constB56)) | (~v130(constB56)))))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30814,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB56) <=> (~((~v130(constB56)) | (~v139(constB56)))))),
% 17.20/12.37 inference(modus_ponens,[status(thm)],[30813, 30812])).
% 17.20/12.37 tff(30815,plain,
% 17.20/12.37 (v153(constB56) <=> (~((~v130(constB56)) | (~v139(constB56))))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30814, 447])).
% 17.20/12.37 tff(30816,plain,
% 17.20/12.37 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB56) <=> v152(constB56))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30817,plain,
% 17.20/12.37 (v130(constB56) <=> v152(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30816, 361])).
% 17.20/12.37 tff(30818,plain,
% 17.20/12.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB55, constB56)) | (v152(constB56) <=> v150(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB55, constB56)) | (v152(constB56) <=> v150(constB55)))),
% 17.20/12.37 inference(rewrite,[status(thm)],[])).
% 17.20/12.37 tff(30819,plain,
% 17.20/12.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB55, constB56)) | (v152(constB56) <=> v150(constB55)))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30820,plain,
% 17.20/12.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB55, constB56)) | (v152(constB56) <=> v150(constB55))),
% 17.20/12.37 inference(modus_ponens,[status(thm)],[30819, 30818])).
% 17.20/12.37 tff(30821,plain,
% 17.20/12.37 (v152(constB56) <=> v150(constB55)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30820, 7744, 373])).
% 17.20/12.37 tff(30822,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB55) <=> (v153(constB55) | v154(constB55)))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30823,plain,
% 17.20/12.37 (v150(constB55) <=> (v153(constB55) | v154(constB55))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30822, 387])).
% 17.20/12.37 tff(30824,plain,
% 17.20/12.37 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB55) <=> (~((~v130(constB55)) | (~v139(constB55)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB55) <=> (~((~v130(constB55)) | (~v139(constB55))))))),
% 17.20/12.37 inference(rewrite,[status(thm)],[])).
% 17.20/12.37 tff(30825,plain,
% 17.20/12.37 ((v153(constB55) <=> (~((~v139(constB55)) | (~v130(constB55))))) <=> (v153(constB55) <=> (~((~v130(constB55)) | (~v139(constB55)))))),
% 17.20/12.37 inference(rewrite,[status(thm)],[])).
% 17.20/12.37 tff(30826,plain,
% 17.20/12.37 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB55) <=> (~((~v139(constB55)) | (~v130(constB55)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB55) <=> (~((~v130(constB55)) | (~v139(constB55))))))),
% 17.20/12.37 inference(monotonicity,[status(thm)],[30825])).
% 17.20/12.37 tff(30827,plain,
% 17.20/12.37 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB55) <=> (~((~v139(constB55)) | (~v130(constB55)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB55) <=> (~((~v130(constB55)) | (~v139(constB55))))))),
% 17.20/12.37 inference(transitivity,[status(thm)],[30826, 30824])).
% 17.20/12.37 tff(30828,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB55) <=> (~((~v139(constB55)) | (~v130(constB55)))))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30829,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB55) <=> (~((~v130(constB55)) | (~v139(constB55)))))),
% 17.20/12.37 inference(modus_ponens,[status(thm)],[30828, 30827])).
% 17.20/12.37 tff(30830,plain,
% 17.20/12.37 (v153(constB55) <=> (~((~v130(constB55)) | (~v139(constB55))))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30829, 447])).
% 17.20/12.37 tff(30831,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB55)) <=> v140(constB55))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30832,plain,
% 17.20/12.37 ((~v139(constB55)) <=> v140(constB55)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30831, 203])).
% 17.20/12.37 tff(30833,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB55) <=> (v141(constB55) | v26(constB55)))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30834,plain,
% 17.20/12.37 (v140(constB55) <=> (v141(constB55) | v26(constB55))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30833, 212])).
% 17.20/12.37 tff(30835,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB55) <=> (~((~v39(constB55)) | (~v9(constB55)))))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30836,plain,
% 17.20/12.37 (v141(constB55) <=> (~((~v39(constB55)) | (~v9(constB55))))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30835, 130])).
% 17.20/12.37 tff(30837,plain,
% 17.20/12.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55)))),
% 17.20/12.37 inference(rewrite,[status(thm)],[])).
% 17.20/12.37 tff(30838,plain,
% 17.20/12.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55)))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30839,plain,
% 17.20/12.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55))),
% 17.20/12.37 inference(modus_ponens,[status(thm)],[30838, 30837])).
% 17.20/12.37 tff(30840,plain,
% 17.20/12.37 (v13(constB56) <=> v9(constB55)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30839, 7744, 226])).
% 17.20/12.37 tff(30841,plain,
% 17.20/12.37 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB56) <=> v13(constB56))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30842,plain,
% 17.20/12.37 (v6(constB56) <=> v13(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30841, 240])).
% 17.20/12.37 tff(30843,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB56)) <=> v6(constB56))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30844,plain,
% 17.20/12.37 ((~v21(constB56)) <=> v6(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30843, 249])).
% 17.20/12.37 tff(30845,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB56) <=> (v20(constB56) | v21(constB56)))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30846,plain,
% 17.20/12.37 (v19(constB56) <=> (v20(constB56) | v21(constB56))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30845, 258])).
% 17.20/12.37 tff(30847,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56)))))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30848,plain,
% 17.20/12.37 (v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56))))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30847, 270])).
% 17.20/12.37 tff(30849,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB56)) <=> v18(constB56))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30850,plain,
% 17.20/12.37 ((~v4(constB56)) <=> v18(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30849, 279])).
% 17.20/12.37 tff(30851,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB56)),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30852,plain,
% 17.20/12.37 (v4(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30851, 288])).
% 17.20/12.37 tff(30853,plain,
% 17.20/12.37 ((~((~v4(constB56)) <=> v18(constB56))) | (~v4(constB56)) | (~v18(constB56))),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30854,plain,
% 17.20/12.37 (~v18(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30853, 30852, 30850])).
% 17.20/12.37 tff(30855,plain,
% 17.20/12.37 ((~(v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56)))))) | v18(constB56) | ((~v19(constB56)) | (~v22(constB56)))),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30856,plain,
% 17.20/12.37 ((~v19(constB56)) | (~v22(constB56))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30855, 30854, 30848])).
% 17.20/12.37 tff(30857,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB56) <=> (v1(constB56) | v6(constB56)))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30858,plain,
% 17.20/12.37 (v22(constB56) <=> (v1(constB56) | v6(constB56))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30857, 301])).
% 17.20/12.37 tff(30859,plain,
% 17.20/12.37 ((v1(constB56) | v6(constB56)) | (~v1(constB56))),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30860,plain,
% 17.20/12.37 (v1(constB56) | v6(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30859, 9179])).
% 17.20/12.37 tff(30861,plain,
% 17.20/12.37 ((~(v22(constB56) <=> (v1(constB56) | v6(constB56)))) | v22(constB56) | (~(v1(constB56) | v6(constB56)))),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30862,plain,
% 17.20/12.37 ((~(v22(constB56) <=> (v1(constB56) | v6(constB56)))) | v22(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30861, 30860])).
% 17.20/12.37 tff(30863,plain,
% 17.20/12.37 (v22(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30862, 30858])).
% 17.20/12.37 tff(30864,plain,
% 17.20/12.37 ((~((~v19(constB56)) | (~v22(constB56)))) | (~v19(constB56)) | (~v22(constB56))),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30865,plain,
% 17.20/12.37 ((~((~v19(constB56)) | (~v22(constB56)))) | (~v19(constB56))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30864, 30863])).
% 17.20/12.37 tff(30866,plain,
% 17.20/12.37 (~v19(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30865, 30856])).
% 17.20/12.37 tff(30867,plain,
% 17.20/12.37 ((~(v19(constB56) <=> (v20(constB56) | v21(constB56)))) | v19(constB56) | (~(v20(constB56) | v21(constB56)))),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30868,plain,
% 17.20/12.37 (~(v20(constB56) | v21(constB56))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30867, 30866, 30846])).
% 17.20/12.37 tff(30869,plain,
% 17.20/12.37 ((v20(constB56) | v21(constB56)) | (~v21(constB56))),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30870,plain,
% 17.20/12.37 (~v21(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30869, 30868])).
% 17.20/12.37 tff(30871,plain,
% 17.20/12.37 ((~((~v21(constB56)) <=> v6(constB56))) | v21(constB56) | v6(constB56)),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30872,plain,
% 17.20/12.37 (v6(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30871, 30870, 30844])).
% 17.20/12.37 tff(30873,plain,
% 17.20/12.37 ((~(v6(constB56) <=> v13(constB56))) | (~v6(constB56)) | v13(constB56)),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30874,plain,
% 17.20/12.37 (v13(constB56)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30873, 30872, 30842])).
% 17.20/12.37 tff(30875,plain,
% 17.20/12.37 ((~(v13(constB56) <=> v9(constB55))) | (~v13(constB56)) | v9(constB55)),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30876,plain,
% 17.20/12.37 (v9(constB55)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30875, 30874, 30840])).
% 17.20/12.37 tff(30877,plain,
% 17.20/12.37 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB55)) <=> v1(constB55))),
% 17.20/12.37 inference(quant_inst,[status(thm)],[])).
% 17.20/12.37 tff(30878,plain,
% 17.20/12.37 ((~v39(constB55)) <=> v1(constB55)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30877, 139])).
% 17.20/12.37 tff(30879,plain,
% 17.20/12.37 ((~((~v39(constB55)) <=> v1(constB55))) | v39(constB55) | v1(constB55)),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30880,plain,
% 17.20/12.37 ((~((~v39(constB55)) <=> v1(constB55))) | v39(constB55)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30879, 7783])).
% 17.20/12.37 tff(30881,plain,
% 17.20/12.37 (v39(constB55)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30880, 30878])).
% 17.20/12.37 tff(30882,plain,
% 17.20/12.37 ((~((~v39(constB55)) | (~v9(constB55)))) | (~v39(constB55)) | (~v9(constB55))),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30883,plain,
% 17.20/12.37 ((~((~v39(constB55)) | (~v9(constB55)))) | (~v9(constB55))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30882, 30881])).
% 17.20/12.37 tff(30884,plain,
% 17.20/12.37 (~((~v39(constB55)) | (~v9(constB55)))),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30883, 30876])).
% 17.20/12.37 tff(30885,plain,
% 17.20/12.37 ((~(v141(constB55) <=> (~((~v39(constB55)) | (~v9(constB55)))))) | v141(constB55) | ((~v39(constB55)) | (~v9(constB55)))),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30886,plain,
% 17.20/12.37 (v141(constB55)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30885, 30884, 30836])).
% 17.20/12.37 tff(30887,plain,
% 17.20/12.37 ((v141(constB55) | v26(constB55)) | (~v141(constB55))),
% 17.20/12.37 inference(tautology,[status(thm)],[])).
% 17.20/12.37 tff(30888,plain,
% 17.20/12.37 (v141(constB55) | v26(constB55)),
% 17.20/12.37 inference(unit_resolution,[status(thm)],[30887, 30886])).
% 17.20/12.37 tff(30889,plain,
% 17.20/12.37 ((~(v140(constB55) <=> (v141(constB55) | v26(constB55)))) | v140(constB55) | (~(v141(constB55) | v26(constB55)))),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30890,plain,
% 17.20/12.38 (v140(constB55)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30889, 30888, 30834])).
% 17.20/12.38 tff(30891,plain,
% 17.20/12.38 ((~((~v139(constB55)) <=> v140(constB55))) | (~v139(constB55)) | (~v140(constB55))),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30892,plain,
% 17.20/12.38 (~v139(constB55)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30891, 30890, 30832])).
% 17.20/12.38 tff(30893,plain,
% 17.20/12.38 (((~v130(constB55)) | (~v139(constB55))) | v139(constB55)),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30894,plain,
% 17.20/12.38 ((~v130(constB55)) | (~v139(constB55))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30893, 30892])).
% 17.20/12.38 tff(30895,plain,
% 17.20/12.38 ((~(v153(constB55) <=> (~((~v130(constB55)) | (~v139(constB55)))))) | (~v153(constB55)) | (~((~v130(constB55)) | (~v139(constB55))))),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30896,plain,
% 17.20/12.38 (~v153(constB55)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30895, 30894, 30830])).
% 17.20/12.38 tff(30897,plain,
% 17.20/12.38 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB55) <=> (~((~v132(constB55)) | (~v155(constB55)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB55) <=> (~((~v132(constB55)) | (~v155(constB55))))))),
% 17.20/12.38 inference(rewrite,[status(thm)],[])).
% 17.20/12.38 tff(30898,plain,
% 17.20/12.38 ((v154(constB55) <=> (~((~v155(constB55)) | (~v132(constB55))))) <=> (v154(constB55) <=> (~((~v132(constB55)) | (~v155(constB55)))))),
% 17.20/12.38 inference(rewrite,[status(thm)],[])).
% 17.20/12.38 tff(30899,plain,
% 17.20/12.38 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB55) <=> (~((~v155(constB55)) | (~v132(constB55)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB55) <=> (~((~v132(constB55)) | (~v155(constB55))))))),
% 17.20/12.38 inference(monotonicity,[status(thm)],[30898])).
% 17.20/12.38 tff(30900,plain,
% 17.20/12.38 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB55) <=> (~((~v155(constB55)) | (~v132(constB55)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB55) <=> (~((~v132(constB55)) | (~v155(constB55))))))),
% 17.20/12.38 inference(transitivity,[status(thm)],[30899, 30897])).
% 17.20/12.38 tff(30901,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB55) <=> (~((~v155(constB55)) | (~v132(constB55)))))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30902,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB55) <=> (~((~v132(constB55)) | (~v155(constB55)))))),
% 17.20/12.38 inference(modus_ponens,[status(thm)],[30901, 30900])).
% 17.20/12.38 tff(30903,plain,
% 17.20/12.38 (v154(constB55) <=> (~((~v132(constB55)) | (~v155(constB55))))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30902, 399])).
% 17.20/12.38 tff(30904,plain,
% 17.20/12.38 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB55) <=> v137(constB55))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30905,plain,
% 17.20/12.38 (v132(constB55) <=> v137(constB55)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30904, 558])).
% 17.20/12.38 tff(30906,plain,
% 17.20/12.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB54, constB55)) | (v137(constB55) <=> v135(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB54, constB55)) | (v137(constB55) <=> v135(constB54)))),
% 17.20/12.38 inference(rewrite,[status(thm)],[])).
% 17.20/12.38 tff(30907,plain,
% 17.20/12.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB54, constB55)) | (v137(constB55) <=> v135(constB54)))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30908,plain,
% 17.20/12.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB54, constB55)) | (v137(constB55) <=> v135(constB54))),
% 17.20/12.38 inference(modus_ponens,[status(thm)],[30907, 30906])).
% 17.20/12.38 tff(30909,plain,
% 17.20/12.38 (v137(constB55) <=> v135(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30908, 7769, 570])).
% 17.20/12.38 tff(30910,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB54) <=> (v138(constB54) | v142(constB54)))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30911,plain,
% 17.20/12.38 (v135(constB54) <=> (v138(constB54) | v142(constB54))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30910, 584])).
% 17.20/12.38 tff(30912,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB54) <=> (~((~v143(constB54)) | (~v144(constB54)))))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30913,plain,
% 17.20/12.38 (v142(constB54) <=> (~((~v143(constB54)) | (~v144(constB54))))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30912, 596])).
% 17.20/12.38 tff(30914,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB54) <=> (~((~v141(constB54)) | (~v145(constB54)))))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30915,plain,
% 17.20/12.38 (v144(constB54) <=> (~((~v141(constB54)) | (~v145(constB54))))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30914, 608])).
% 17.20/12.38 tff(30916,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB54) <=> (~((~v39(constB54)) | (~v9(constB54)))))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30917,plain,
% 17.20/12.38 (v141(constB54) <=> (~((~v39(constB54)) | (~v9(constB54))))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30916, 130])).
% 17.20/12.38 tff(30918,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB54)) <=> v1(constB54))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30919,plain,
% 17.20/12.38 ((~v39(constB54)) <=> v1(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30918, 139])).
% 17.20/12.38 tff(30920,plain,
% 17.20/12.38 ((~((~v39(constB54)) <=> v1(constB54))) | (~v39(constB54)) | (~v1(constB54))),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30921,plain,
% 17.20/12.38 ((~((~v39(constB54)) <=> v1(constB54))) | (~v39(constB54))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30920, 8985])).
% 17.20/12.38 tff(30922,plain,
% 17.20/12.38 (~v39(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30921, 30919])).
% 17.20/12.38 tff(30923,plain,
% 17.20/12.38 (((~v39(constB54)) | (~v9(constB54))) | v39(constB54)),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30924,plain,
% 17.20/12.38 ((~v39(constB54)) | (~v9(constB54))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30923, 30922])).
% 17.20/12.38 tff(30925,plain,
% 17.20/12.38 ((~(v141(constB54) <=> (~((~v39(constB54)) | (~v9(constB54)))))) | (~v141(constB54)) | (~((~v39(constB54)) | (~v9(constB54))))),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30926,plain,
% 17.20/12.38 ((~(v141(constB54) <=> (~((~v39(constB54)) | (~v9(constB54)))))) | (~v141(constB54))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30925, 30924])).
% 17.20/12.38 tff(30927,plain,
% 17.20/12.38 (~v141(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30926, 30917])).
% 17.20/12.38 tff(30928,plain,
% 17.20/12.38 (((~v141(constB54)) | (~v145(constB54))) | v141(constB54)),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30929,plain,
% 17.20/12.38 ((~v141(constB54)) | (~v145(constB54))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30928, 30927])).
% 17.20/12.38 tff(30930,plain,
% 17.20/12.38 ((~(v144(constB54) <=> (~((~v141(constB54)) | (~v145(constB54)))))) | (~v144(constB54)) | (~((~v141(constB54)) | (~v145(constB54))))),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30931,plain,
% 17.20/12.38 ((~(v144(constB54) <=> (~((~v141(constB54)) | (~v145(constB54)))))) | (~v144(constB54))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30930, 30929])).
% 17.20/12.38 tff(30932,plain,
% 17.20/12.38 (~v144(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30931, 30915])).
% 17.20/12.38 tff(30933,plain,
% 17.20/12.38 (((~v143(constB54)) | (~v144(constB54))) | v144(constB54)),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30934,plain,
% 17.20/12.38 ((~v143(constB54)) | (~v144(constB54))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30933, 30932])).
% 17.20/12.38 tff(30935,plain,
% 17.20/12.38 ((~(v142(constB54) <=> (~((~v143(constB54)) | (~v144(constB54)))))) | (~v142(constB54)) | (~((~v143(constB54)) | (~v144(constB54))))),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30936,plain,
% 17.20/12.38 (~v142(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30935, 30934, 30913])).
% 17.20/12.38 tff(30937,plain,
% 17.20/12.38 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54))))))),
% 17.20/12.38 inference(rewrite,[status(thm)],[])).
% 17.20/12.38 tff(30938,plain,
% 17.20/12.38 ((v138(constB54) <=> (~((~v139(constB54)) | (~v132(constB54))))) <=> (v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54)))))),
% 17.20/12.38 inference(rewrite,[status(thm)],[])).
% 17.20/12.38 tff(30939,plain,
% 17.20/12.38 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v139(constB54)) | (~v132(constB54)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54))))))),
% 17.20/12.38 inference(monotonicity,[status(thm)],[30938])).
% 17.20/12.38 tff(30940,plain,
% 17.20/12.38 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v139(constB54)) | (~v132(constB54)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54))))))),
% 17.20/12.38 inference(transitivity,[status(thm)],[30939, 30937])).
% 17.20/12.38 tff(30941,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v139(constB54)) | (~v132(constB54)))))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30942,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54)))))),
% 17.20/12.38 inference(modus_ponens,[status(thm)],[30941, 30940])).
% 17.20/12.38 tff(30943,plain,
% 17.20/12.38 (v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54))))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30942, 644])).
% 17.20/12.38 tff(30944,plain,
% 17.20/12.38 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB54) <=> v137(constB54))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30945,plain,
% 17.20/12.38 (v132(constB54) <=> v137(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30944, 558])).
% 17.20/12.38 tff(30946,plain,
% 17.20/12.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB53, constB54)) | (v137(constB54) <=> v135(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB53, constB54)) | (v137(constB54) <=> v135(constB53)))),
% 17.20/12.38 inference(rewrite,[status(thm)],[])).
% 17.20/12.38 tff(30947,plain,
% 17.20/12.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB53, constB54)) | (v137(constB54) <=> v135(constB53)))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30948,plain,
% 17.20/12.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB53, constB54)) | (v137(constB54) <=> v135(constB53))),
% 17.20/12.38 inference(modus_ponens,[status(thm)],[30947, 30946])).
% 17.20/12.38 tff(30949,plain,
% 17.20/12.38 (v137(constB54) <=> v135(constB53)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30948, 7805, 570])).
% 17.20/12.38 tff(30950,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB53) <=> (v138(constB53) | v142(constB53)))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30951,plain,
% 17.20/12.38 (v135(constB53) <=> (v138(constB53) | v142(constB53))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30950, 584])).
% 17.20/12.38 tff(30952,plain,
% 17.20/12.38 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53))))))),
% 17.20/12.38 inference(rewrite,[status(thm)],[])).
% 17.20/12.38 tff(30953,plain,
% 17.20/12.38 ((v138(constB53) <=> (~((~v139(constB53)) | (~v132(constB53))))) <=> (v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53)))))),
% 17.20/12.38 inference(rewrite,[status(thm)],[])).
% 17.20/12.38 tff(30954,plain,
% 17.20/12.38 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v139(constB53)) | (~v132(constB53)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53))))))),
% 17.20/12.38 inference(monotonicity,[status(thm)],[30953])).
% 17.20/12.38 tff(30955,plain,
% 17.20/12.38 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v139(constB53)) | (~v132(constB53)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53))))))),
% 17.20/12.38 inference(transitivity,[status(thm)],[30954, 30952])).
% 17.20/12.38 tff(30956,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v139(constB53)) | (~v132(constB53)))))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30957,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53)))))),
% 17.20/12.38 inference(modus_ponens,[status(thm)],[30956, 30955])).
% 17.20/12.38 tff(30958,plain,
% 17.20/12.38 (v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53))))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30957, 644])).
% 17.20/12.38 tff(30959,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB53)) <=> v140(constB53))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30960,plain,
% 17.20/12.38 ((~v139(constB53)) <=> v140(constB53)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30959, 203])).
% 17.20/12.38 tff(30961,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB53) <=> (v141(constB53) | v26(constB53)))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30962,plain,
% 17.20/12.38 (v140(constB53) <=> (v141(constB53) | v26(constB53))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30961, 212])).
% 17.20/12.38 tff(30963,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB53) <=> (~((~v39(constB53)) | (~v9(constB53)))))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30964,plain,
% 17.20/12.38 (v141(constB53) <=> (~((~v39(constB53)) | (~v9(constB53))))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30963, 130])).
% 17.20/12.38 tff(30965,plain,
% 17.20/12.38 (((~![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)))),
% 17.20/12.38 inference(rewrite,[status(thm)],[])).
% 17.20/12.38 tff(30966,plain,
% 17.20/12.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53)))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30967,plain,
% 17.20/12.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53))),
% 17.20/12.38 inference(modus_ponens,[status(thm)],[30966, 30965])).
% 17.20/12.38 tff(30968,plain,
% 17.20/12.38 (v13(constB54) <=> v9(constB53)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30967, 7805, 226])).
% 17.20/12.38 tff(30969,plain,
% 17.20/12.38 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB54) <=> v13(constB54))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30970,plain,
% 17.20/12.38 (v6(constB54) <=> v13(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30969, 240])).
% 17.20/12.38 tff(30971,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB54)) <=> v6(constB54))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30972,plain,
% 17.20/12.38 ((~v21(constB54)) <=> v6(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30971, 249])).
% 17.20/12.38 tff(30973,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB54) <=> (v20(constB54) | v21(constB54)))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30974,plain,
% 17.20/12.38 (v19(constB54) <=> (v20(constB54) | v21(constB54))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30973, 258])).
% 17.20/12.38 tff(30975,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB54) <=> (~((~v19(constB54)) | (~v22(constB54)))))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30976,plain,
% 17.20/12.38 (v18(constB54) <=> (~((~v19(constB54)) | (~v22(constB54))))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30975, 270])).
% 17.20/12.38 tff(30977,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB54)) <=> v18(constB54))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30978,plain,
% 17.20/12.38 ((~v4(constB54)) <=> v18(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30977, 279])).
% 17.20/12.38 tff(30979,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB54)),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30980,plain,
% 17.20/12.38 (v4(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30979, 288])).
% 17.20/12.38 tff(30981,plain,
% 17.20/12.38 ((~((~v4(constB54)) <=> v18(constB54))) | (~v4(constB54)) | (~v18(constB54))),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30982,plain,
% 17.20/12.38 (~v18(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30981, 30980, 30978])).
% 17.20/12.38 tff(30983,plain,
% 17.20/12.38 ((~(v18(constB54) <=> (~((~v19(constB54)) | (~v22(constB54)))))) | v18(constB54) | ((~v19(constB54)) | (~v22(constB54)))),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30984,plain,
% 17.20/12.38 ((~v19(constB54)) | (~v22(constB54))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30983, 30982, 30976])).
% 17.20/12.38 tff(30985,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB54) <=> (v1(constB54) | v6(constB54)))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(30986,plain,
% 17.20/12.38 (v22(constB54) <=> (v1(constB54) | v6(constB54))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30985, 301])).
% 17.20/12.38 tff(30987,plain,
% 17.20/12.38 ((v1(constB54) | v6(constB54)) | (~v1(constB54))),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30988,plain,
% 17.20/12.38 (v1(constB54) | v6(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30987, 8985])).
% 17.20/12.38 tff(30989,plain,
% 17.20/12.38 ((~(v22(constB54) <=> (v1(constB54) | v6(constB54)))) | v22(constB54) | (~(v1(constB54) | v6(constB54)))),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30990,plain,
% 17.20/12.38 ((~(v22(constB54) <=> (v1(constB54) | v6(constB54)))) | v22(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30989, 30988])).
% 17.20/12.38 tff(30991,plain,
% 17.20/12.38 (v22(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30990, 30986])).
% 17.20/12.38 tff(30992,plain,
% 17.20/12.38 ((~((~v19(constB54)) | (~v22(constB54)))) | (~v19(constB54)) | (~v22(constB54))),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30993,plain,
% 17.20/12.38 ((~((~v19(constB54)) | (~v22(constB54)))) | (~v19(constB54))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30992, 30991])).
% 17.20/12.38 tff(30994,plain,
% 17.20/12.38 (~v19(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30993, 30984])).
% 17.20/12.38 tff(30995,plain,
% 17.20/12.38 ((~(v19(constB54) <=> (v20(constB54) | v21(constB54)))) | v19(constB54) | (~(v20(constB54) | v21(constB54)))),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30996,plain,
% 17.20/12.38 (~(v20(constB54) | v21(constB54))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30995, 30994, 30974])).
% 17.20/12.38 tff(30997,plain,
% 17.20/12.38 ((v20(constB54) | v21(constB54)) | (~v21(constB54))),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(30998,plain,
% 17.20/12.38 (~v21(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30997, 30996])).
% 17.20/12.38 tff(30999,plain,
% 17.20/12.38 ((~((~v21(constB54)) <=> v6(constB54))) | v21(constB54) | v6(constB54)),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(31000,plain,
% 17.20/12.38 (v6(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[30999, 30998, 30972])).
% 17.20/12.38 tff(31001,plain,
% 17.20/12.38 ((~(v6(constB54) <=> v13(constB54))) | (~v6(constB54)) | v13(constB54)),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(31002,plain,
% 17.20/12.38 (v13(constB54)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[31001, 31000, 30970])).
% 17.20/12.38 tff(31003,plain,
% 17.20/12.38 ((~(v13(constB54) <=> v9(constB53))) | (~v13(constB54)) | v9(constB53)),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(31004,plain,
% 17.20/12.38 (v9(constB53)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[31003, 31002, 30968])).
% 17.20/12.38 tff(31005,plain,
% 17.20/12.38 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB53)) <=> v1(constB53))),
% 17.20/12.38 inference(quant_inst,[status(thm)],[])).
% 17.20/12.38 tff(31006,plain,
% 17.20/12.38 ((~v39(constB53)) <=> v1(constB53)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[31005, 139])).
% 17.20/12.38 tff(31007,plain,
% 17.20/12.38 ((~((~v39(constB53)) <=> v1(constB53))) | v39(constB53) | v1(constB53)),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(31008,plain,
% 17.20/12.38 ((~((~v39(constB53)) <=> v1(constB53))) | v39(constB53)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[31007, 7849])).
% 17.20/12.38 tff(31009,plain,
% 17.20/12.38 (v39(constB53)),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[31008, 31006])).
% 17.20/12.38 tff(31010,plain,
% 17.20/12.38 ((~((~v39(constB53)) | (~v9(constB53)))) | (~v39(constB53)) | (~v9(constB53))),
% 17.20/12.38 inference(tautology,[status(thm)],[])).
% 17.20/12.38 tff(31011,plain,
% 17.20/12.38 ((~((~v39(constB53)) | (~v9(constB53)))) | (~v9(constB53))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[31010, 31009])).
% 17.20/12.38 tff(31012,plain,
% 17.20/12.38 (~((~v39(constB53)) | (~v9(constB53)))),
% 17.20/12.38 inference(unit_resolution,[status(thm)],[31011, 31004])).
% 17.20/12.38 tff(31013,plain,
% 17.20/12.38 ((~(v141(constB53) <=> (~((~v39(constB53)) | (~v9(constB53)))))) | v141(constB53) | ((~v39(constB53)) | (~v9(constB53)))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31014,plain,
% 17.20/12.39 (v141(constB53)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31013, 31012, 30964])).
% 17.20/12.39 tff(31015,plain,
% 17.20/12.39 ((v141(constB53) | v26(constB53)) | (~v141(constB53))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31016,plain,
% 17.20/12.39 (v141(constB53) | v26(constB53)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31015, 31014])).
% 17.20/12.39 tff(31017,plain,
% 17.20/12.39 ((~(v140(constB53) <=> (v141(constB53) | v26(constB53)))) | v140(constB53) | (~(v141(constB53) | v26(constB53)))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31018,plain,
% 17.20/12.39 (v140(constB53)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31017, 31016, 30962])).
% 17.20/12.39 tff(31019,plain,
% 17.20/12.39 ((~((~v139(constB53)) <=> v140(constB53))) | (~v139(constB53)) | (~v140(constB53))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31020,plain,
% 17.20/12.39 (~v139(constB53)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31019, 31018, 30960])).
% 17.20/12.39 tff(31021,plain,
% 17.20/12.39 (((~v132(constB53)) | (~v139(constB53))) | v139(constB53)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31022,plain,
% 17.20/12.39 ((~v132(constB53)) | (~v139(constB53))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31021, 31020])).
% 17.20/12.39 tff(31023,plain,
% 17.20/12.39 ((~(v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53)))))) | (~v138(constB53)) | (~((~v132(constB53)) | (~v139(constB53))))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31024,plain,
% 17.20/12.39 (~v138(constB53)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31023, 31022, 30958])).
% 17.20/12.39 tff(31025,plain,
% 17.20/12.39 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB53) <=> (~((~v143(constB53)) | (~v144(constB53)))))),
% 17.20/12.39 inference(quant_inst,[status(thm)],[])).
% 17.20/12.39 tff(31026,plain,
% 17.20/12.39 (v142(constB53) <=> (~((~v143(constB53)) | (~v144(constB53))))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31025, 596])).
% 17.20/12.39 tff(31027,plain,
% 17.20/12.39 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB53) <=> (~((~v141(constB53)) | (~v145(constB53)))))),
% 17.20/12.39 inference(quant_inst,[status(thm)],[])).
% 17.20/12.39 tff(31028,plain,
% 17.20/12.39 (v144(constB53) <=> (~((~v141(constB53)) | (~v145(constB53))))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31027, 608])).
% 17.20/12.39 tff(31029,plain,
% 17.20/12.39 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0)))))),
% 17.20/12.39 inference(quant_inst,[status(thm)],[])).
% 17.20/12.39 tff(31030,plain,
% 17.20/12.39 (v145(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0))))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31029, 755])).
% 17.20/12.39 tff(31031,plain,
% 17.20/12.39 ((v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0))) | (~v84(constB53, 2))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31032,plain,
% 17.20/12.39 (v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31031, 8907])).
% 17.20/12.39 tff(31033,plain,
% 17.20/12.39 ((~(v145(constB53) <=> (~(v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0)))))) | (~v145(constB53)) | (~(v84(constB53, 1) | v84(constB53, 2) | (~v84(constB53, 0))))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31034,plain,
% 17.20/12.39 (~v145(constB53)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31033, 31032, 31030])).
% 17.20/12.39 tff(31035,plain,
% 17.20/12.39 (((~v141(constB53)) | (~v145(constB53))) | v145(constB53)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31036,plain,
% 17.20/12.39 ((~v141(constB53)) | (~v145(constB53))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31035, 31034])).
% 17.20/12.39 tff(31037,plain,
% 17.20/12.39 ((~(v144(constB53) <=> (~((~v141(constB53)) | (~v145(constB53)))))) | (~v144(constB53)) | (~((~v141(constB53)) | (~v145(constB53))))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31038,plain,
% 17.20/12.39 (~v144(constB53)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31037, 31036, 31028])).
% 17.20/12.39 tff(31039,plain,
% 17.20/12.39 (((~v143(constB53)) | (~v144(constB53))) | v144(constB53)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31040,plain,
% 17.20/12.39 ((~v143(constB53)) | (~v144(constB53))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31039, 31038])).
% 17.20/12.39 tff(31041,plain,
% 17.20/12.39 ((~(v142(constB53) <=> (~((~v143(constB53)) | (~v144(constB53)))))) | (~v142(constB53)) | (~((~v143(constB53)) | (~v144(constB53))))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31042,plain,
% 17.20/12.39 (~v142(constB53)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31041, 31040, 31026])).
% 17.20/12.39 tff(31043,plain,
% 17.20/12.39 ((~(v138(constB53) | v142(constB53))) | v138(constB53) | v142(constB53)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31044,plain,
% 17.20/12.39 (~(v138(constB53) | v142(constB53))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31043, 31042, 31024])).
% 17.20/12.39 tff(31045,plain,
% 17.20/12.39 ((~(v135(constB53) <=> (v138(constB53) | v142(constB53)))) | (~v135(constB53)) | (v138(constB53) | v142(constB53))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31046,plain,
% 17.20/12.39 (~v135(constB53)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31045, 31044, 30951])).
% 17.20/12.39 tff(31047,plain,
% 17.20/12.39 ((~(v137(constB54) <=> v135(constB53))) | (~v137(constB54)) | v135(constB53)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31048,plain,
% 17.20/12.39 (~v137(constB54)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31047, 31046, 30949])).
% 17.20/12.39 tff(31049,plain,
% 17.20/12.39 ((~(v132(constB54) <=> v137(constB54))) | (~v132(constB54)) | v137(constB54)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31050,plain,
% 17.20/12.39 (~v132(constB54)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31049, 31048, 30945])).
% 17.20/12.39 tff(31051,plain,
% 17.20/12.39 (((~v132(constB54)) | (~v139(constB54))) | v132(constB54)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31052,plain,
% 17.20/12.39 ((~v132(constB54)) | (~v139(constB54))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31051, 31050])).
% 17.20/12.39 tff(31053,plain,
% 17.20/12.39 ((~(v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54)))))) | (~v138(constB54)) | (~((~v132(constB54)) | (~v139(constB54))))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31054,plain,
% 17.20/12.39 (~v138(constB54)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31053, 31052, 30943])).
% 17.20/12.39 tff(31055,plain,
% 17.20/12.39 ((~(v138(constB54) | v142(constB54))) | v138(constB54) | v142(constB54)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31056,plain,
% 17.20/12.39 (~(v138(constB54) | v142(constB54))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31055, 31054, 30936])).
% 17.20/12.39 tff(31057,plain,
% 17.20/12.39 ((~(v135(constB54) <=> (v138(constB54) | v142(constB54)))) | (~v135(constB54)) | (v138(constB54) | v142(constB54))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31058,plain,
% 17.20/12.39 (~v135(constB54)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31057, 31056, 30911])).
% 17.20/12.39 tff(31059,plain,
% 17.20/12.39 ((~(v137(constB55) <=> v135(constB54))) | (~v137(constB55)) | v135(constB54)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31060,plain,
% 17.20/12.39 (~v137(constB55)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31059, 31058, 30909])).
% 17.20/12.39 tff(31061,plain,
% 17.20/12.39 ((~(v132(constB55) <=> v137(constB55))) | (~v132(constB55)) | v137(constB55)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31062,plain,
% 17.20/12.39 (~v132(constB55)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31061, 31060, 30905])).
% 17.20/12.39 tff(31063,plain,
% 17.20/12.39 (((~v132(constB55)) | (~v155(constB55))) | v132(constB55)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31064,plain,
% 17.20/12.39 ((~v132(constB55)) | (~v155(constB55))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31063, 31062])).
% 17.20/12.39 tff(31065,plain,
% 17.20/12.39 ((~(v154(constB55) <=> (~((~v132(constB55)) | (~v155(constB55)))))) | (~v154(constB55)) | (~((~v132(constB55)) | (~v155(constB55))))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31066,plain,
% 17.20/12.39 (~v154(constB55)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31065, 31064, 30903])).
% 17.20/12.39 tff(31067,plain,
% 17.20/12.39 ((~(v153(constB55) | v154(constB55))) | v153(constB55) | v154(constB55)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31068,plain,
% 17.20/12.39 (~(v153(constB55) | v154(constB55))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31067, 31066, 30896])).
% 17.20/12.39 tff(31069,plain,
% 17.20/12.39 ((~(v150(constB55) <=> (v153(constB55) | v154(constB55)))) | (~v150(constB55)) | (v153(constB55) | v154(constB55))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31070,plain,
% 17.20/12.39 (~v150(constB55)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31069, 31068, 30823])).
% 17.20/12.39 tff(31071,plain,
% 17.20/12.39 ((~(v152(constB56) <=> v150(constB55))) | (~v152(constB56)) | v150(constB55)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31072,plain,
% 17.20/12.39 (~v152(constB56)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31071, 31070, 30821])).
% 17.20/12.39 tff(31073,plain,
% 17.20/12.39 ((~(v130(constB56) <=> v152(constB56))) | (~v130(constB56)) | v152(constB56)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31074,plain,
% 17.20/12.39 (~v130(constB56)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31073, 31072, 30817])).
% 17.20/12.39 tff(31075,plain,
% 17.20/12.39 (((~v130(constB56)) | (~v139(constB56))) | v130(constB56)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31076,plain,
% 17.20/12.39 ((~v130(constB56)) | (~v139(constB56))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31075, 31074])).
% 17.20/12.39 tff(31077,plain,
% 17.20/12.39 ((~(v153(constB56) <=> (~((~v130(constB56)) | (~v139(constB56)))))) | (~v153(constB56)) | (~((~v130(constB56)) | (~v139(constB56))))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31078,plain,
% 17.20/12.39 (~v153(constB56)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31077, 31076, 30815])).
% 17.20/12.39 tff(31079,plain,
% 17.20/12.39 ((~(v153(constB56) | v154(constB56))) | v153(constB56) | v154(constB56)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31080,plain,
% 17.20/12.39 (~(v153(constB56) | v154(constB56))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31079, 31078, 30808])).
% 17.20/12.39 tff(31081,plain,
% 17.20/12.39 ((~(v150(constB56) <=> (v153(constB56) | v154(constB56)))) | (~v150(constB56)) | (v153(constB56) | v154(constB56))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31082,plain,
% 17.20/12.39 (~v150(constB56)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31081, 31080, 30773])).
% 17.20/12.39 tff(31083,plain,
% 17.20/12.39 ((~(v152(constB57) <=> v150(constB56))) | (~v152(constB57)) | v150(constB56)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31084,plain,
% 17.20/12.39 (~v152(constB57)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31083, 31082, 30771])).
% 17.20/12.39 tff(31085,plain,
% 17.20/12.39 ((~(v130(constB57) <=> v152(constB57))) | (~v130(constB57)) | v152(constB57)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31086,plain,
% 17.20/12.39 (~v130(constB57)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31085, 31084, 30767])).
% 17.20/12.39 tff(31087,plain,
% 17.20/12.39 (((~v130(constB57)) | (~v155(constB57))) | v130(constB57)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31088,plain,
% 17.20/12.39 ((~v130(constB57)) | (~v155(constB57))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31087, 31086])).
% 17.20/12.39 tff(31089,plain,
% 17.20/12.39 ((~(v164(constB57) <=> (~((~v130(constB57)) | (~v155(constB57)))))) | (~v164(constB57)) | (~((~v130(constB57)) | (~v155(constB57))))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31090,plain,
% 17.20/12.39 (~v164(constB57)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31089, 31088, 30765])).
% 17.20/12.39 tff(31091,plain,
% 17.20/12.39 ((~(v163(constB57) | v164(constB57))) | v163(constB57) | v164(constB57)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31092,plain,
% 17.20/12.39 (~(v163(constB57) | v164(constB57))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31091, 31090, 30758])).
% 17.20/12.39 tff(31093,plain,
% 17.20/12.39 ((~(v160(constB57) <=> (v163(constB57) | v164(constB57)))) | (~v160(constB57)) | (v163(constB57) | v164(constB57))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31094,plain,
% 17.20/12.39 (~v160(constB57)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31093, 31092, 30685])).
% 17.20/12.39 tff(31095,plain,
% 17.20/12.39 ((~(v162(constB58) <=> v160(constB57))) | (~v162(constB58)) | v160(constB57)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31096,plain,
% 17.20/12.39 (~v162(constB58)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31095, 31094, 30683])).
% 17.20/12.39 tff(31097,plain,
% 17.20/12.39 ((~(v128(constB58) <=> v162(constB58))) | (~v128(constB58)) | v162(constB58)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31098,plain,
% 17.20/12.39 (~v128(constB58)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31097, 31096, 30679])).
% 17.20/12.39 tff(31099,plain,
% 17.20/12.39 (((~v128(constB58)) | (~v139(constB58))) | v128(constB58)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31100,plain,
% 17.20/12.39 ((~v128(constB58)) | (~v139(constB58))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31099, 31098])).
% 17.20/12.39 tff(31101,plain,
% 17.20/12.39 ((~(v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58)))))) | (~v163(constB58)) | (~((~v128(constB58)) | (~v139(constB58))))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31102,plain,
% 17.20/12.39 (~v163(constB58)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31101, 31100, 30677])).
% 17.20/12.39 tff(31103,plain,
% 17.20/12.39 ((~(v163(constB58) | v164(constB58))) | v163(constB58) | v164(constB58)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31104,plain,
% 17.20/12.39 (~(v163(constB58) | v164(constB58))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31103, 31102, 30670])).
% 17.20/12.39 tff(31105,plain,
% 17.20/12.39 ((~(v160(constB58) <=> (v163(constB58) | v164(constB58)))) | (~v160(constB58)) | (v163(constB58) | v164(constB58))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31106,plain,
% 17.20/12.39 (~v160(constB58)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31105, 31104, 30635])).
% 17.20/12.39 tff(31107,plain,
% 17.20/12.39 ((~(v162(constB59) <=> v160(constB58))) | (~v162(constB59)) | v160(constB58)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31108,plain,
% 17.20/12.39 (~v162(constB59)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31107, 31106, 30633])).
% 17.20/12.39 tff(31109,plain,
% 17.20/12.39 ($false),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31108, 30629])).
% 17.20/12.39 tff(31110,plain,(~(constB59 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.20/12.39 tff(31111,assumption,(constB57 = VarCurr!0), introduced(assumption)).
% 17.20/12.39 tff(31112,plain,
% 17.20/12.39 (v162(constB57) <=> v162(VarCurr!0)),
% 17.20/12.39 inference(monotonicity,[status(thm)],[31111])).
% 17.20/12.39 tff(31113,plain,
% 17.20/12.39 (v162(VarCurr!0) <=> v162(constB57)),
% 17.20/12.39 inference(symmetry,[status(thm)],[31112])).
% 17.20/12.39 tff(31114,plain,
% 17.20/12.39 (v162(constB57)),
% 17.20/12.39 inference(modus_ponens,[status(thm)],[59, 31113])).
% 17.20/12.39 tff(31115,plain,
% 17.20/12.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB56, constB57)) | (v162(constB57) <=> v160(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB56, constB57)) | (v162(constB57) <=> v160(constB56)))),
% 17.20/12.39 inference(rewrite,[status(thm)],[])).
% 17.20/12.39 tff(31116,plain,
% 17.20/12.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB56, constB57)) | (v162(constB57) <=> v160(constB56)))),
% 17.20/12.39 inference(quant_inst,[status(thm)],[])).
% 17.20/12.39 tff(31117,plain,
% 17.20/12.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB56, constB57)) | (v162(constB57) <=> v160(constB56))),
% 17.20/12.39 inference(modus_ponens,[status(thm)],[31116, 31115])).
% 17.20/12.39 tff(31118,plain,
% 17.20/12.39 (v162(constB57) <=> v160(constB56)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31117, 7708, 70])).
% 17.20/12.39 tff(31119,plain,
% 17.20/12.39 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB56) <=> (v163(constB56) | v164(constB56)))),
% 17.20/12.39 inference(quant_inst,[status(thm)],[])).
% 17.20/12.39 tff(31120,plain,
% 17.20/12.39 (v160(constB56) <=> (v163(constB56) | v164(constB56))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31119, 84])).
% 17.20/12.39 tff(31121,plain,
% 17.20/12.39 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB56) <=> (~((~v130(constB56)) | (~v155(constB56)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB56) <=> (~((~v130(constB56)) | (~v155(constB56))))))),
% 17.20/12.39 inference(rewrite,[status(thm)],[])).
% 17.20/12.39 tff(31122,plain,
% 17.20/12.39 ((v164(constB56) <=> (~((~v155(constB56)) | (~v130(constB56))))) <=> (v164(constB56) <=> (~((~v130(constB56)) | (~v155(constB56)))))),
% 17.20/12.39 inference(rewrite,[status(thm)],[])).
% 17.20/12.39 tff(31123,plain,
% 17.20/12.39 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB56) <=> (~((~v155(constB56)) | (~v130(constB56)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB56) <=> (~((~v130(constB56)) | (~v155(constB56))))))),
% 17.20/12.39 inference(monotonicity,[status(thm)],[31122])).
% 17.20/12.39 tff(31124,plain,
% 17.20/12.39 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB56) <=> (~((~v155(constB56)) | (~v130(constB56)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB56) <=> (~((~v130(constB56)) | (~v155(constB56))))))),
% 17.20/12.39 inference(transitivity,[status(thm)],[31123, 31121])).
% 17.20/12.39 tff(31125,plain,
% 17.20/12.39 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB56) <=> (~((~v155(constB56)) | (~v130(constB56)))))),
% 17.20/12.39 inference(quant_inst,[status(thm)],[])).
% 17.20/12.39 tff(31126,plain,
% 17.20/12.39 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB56) <=> (~((~v130(constB56)) | (~v155(constB56)))))),
% 17.20/12.39 inference(modus_ponens,[status(thm)],[31125, 31124])).
% 17.20/12.39 tff(31127,plain,
% 17.20/12.39 (v164(constB56) <=> (~((~v130(constB56)) | (~v155(constB56))))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31126, 96])).
% 17.20/12.39 tff(31128,plain,
% 17.20/12.39 (((~v130(constB56)) | (~v155(constB56))) | v155(constB56)),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31129,plain,
% 17.20/12.39 ((~v130(constB56)) | (~v155(constB56))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31128, 30804])).
% 17.20/12.39 tff(31130,plain,
% 17.20/12.39 ((~(v164(constB56) <=> (~((~v130(constB56)) | (~v155(constB56)))))) | (~v164(constB56)) | (~((~v130(constB56)) | (~v155(constB56))))),
% 17.20/12.39 inference(tautology,[status(thm)],[])).
% 17.20/12.39 tff(31131,plain,
% 17.20/12.39 (~v164(constB56)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31130, 31129, 31127])).
% 17.20/12.39 tff(31132,plain,
% 17.20/12.39 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB56) <=> (~((~v128(constB56)) | (~v139(constB56)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB56) <=> (~((~v128(constB56)) | (~v139(constB56))))))),
% 17.20/12.39 inference(rewrite,[status(thm)],[])).
% 17.20/12.39 tff(31133,plain,
% 17.20/12.39 ((v163(constB56) <=> (~((~v139(constB56)) | (~v128(constB56))))) <=> (v163(constB56) <=> (~((~v128(constB56)) | (~v139(constB56)))))),
% 17.20/12.39 inference(rewrite,[status(thm)],[])).
% 17.20/12.39 tff(31134,plain,
% 17.20/12.39 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB56) <=> (~((~v139(constB56)) | (~v128(constB56)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB56) <=> (~((~v128(constB56)) | (~v139(constB56))))))),
% 17.20/12.39 inference(monotonicity,[status(thm)],[31133])).
% 17.20/12.39 tff(31135,plain,
% 17.20/12.39 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB56) <=> (~((~v139(constB56)) | (~v128(constB56)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB56) <=> (~((~v128(constB56)) | (~v139(constB56))))))),
% 17.20/12.39 inference(transitivity,[status(thm)],[31134, 31132])).
% 17.20/12.39 tff(31136,plain,
% 17.20/12.39 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB56) <=> (~((~v139(constB56)) | (~v128(constB56)))))),
% 17.20/12.39 inference(quant_inst,[status(thm)],[])).
% 17.20/12.39 tff(31137,plain,
% 17.20/12.39 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB56) <=> (~((~v128(constB56)) | (~v139(constB56)))))),
% 17.20/12.39 inference(modus_ponens,[status(thm)],[31136, 31135])).
% 17.20/12.39 tff(31138,plain,
% 17.20/12.39 (v163(constB56) <=> (~((~v128(constB56)) | (~v139(constB56))))),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31137, 171])).
% 17.20/12.39 tff(31139,plain,
% 17.20/12.39 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB56) <=> v162(constB56))),
% 17.20/12.39 inference(quant_inst,[status(thm)],[])).
% 17.20/12.39 tff(31140,plain,
% 17.20/12.39 (v128(constB56) <=> v162(constB56)),
% 17.20/12.39 inference(unit_resolution,[status(thm)],[31139, 13])).
% 17.20/12.39 tff(31141,plain,
% 17.20/12.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB55, constB56)) | (v162(constB56) <=> v160(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB55, constB56)) | (v162(constB56) <=> v160(constB55)))),
% 17.20/12.40 inference(rewrite,[status(thm)],[])).
% 17.20/12.40 tff(31142,plain,
% 17.20/12.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB55, constB56)) | (v162(constB56) <=> v160(constB55)))),
% 17.20/12.40 inference(quant_inst,[status(thm)],[])).
% 17.20/12.40 tff(31143,plain,
% 17.20/12.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB55, constB56)) | (v162(constB56) <=> v160(constB55))),
% 17.20/12.40 inference(modus_ponens,[status(thm)],[31142, 31141])).
% 17.20/12.40 tff(31144,plain,
% 17.20/12.40 (v162(constB56) <=> v160(constB55)),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31143, 7744, 70])).
% 17.20/12.40 tff(31145,plain,
% 17.20/12.40 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB55) <=> (v163(constB55) | v164(constB55)))),
% 17.20/12.40 inference(quant_inst,[status(thm)],[])).
% 17.20/12.40 tff(31146,plain,
% 17.20/12.40 (v160(constB55) <=> (v163(constB55) | v164(constB55))),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31145, 84])).
% 17.20/12.40 tff(31147,plain,
% 17.20/12.40 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB55) <=> (~((~v128(constB55)) | (~v139(constB55)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB55) <=> (~((~v128(constB55)) | (~v139(constB55))))))),
% 17.20/12.40 inference(rewrite,[status(thm)],[])).
% 17.20/12.40 tff(31148,plain,
% 17.20/12.40 ((v163(constB55) <=> (~((~v139(constB55)) | (~v128(constB55))))) <=> (v163(constB55) <=> (~((~v128(constB55)) | (~v139(constB55)))))),
% 17.20/12.40 inference(rewrite,[status(thm)],[])).
% 17.20/12.40 tff(31149,plain,
% 17.20/12.40 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB55) <=> (~((~v139(constB55)) | (~v128(constB55)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB55) <=> (~((~v128(constB55)) | (~v139(constB55))))))),
% 17.20/12.40 inference(monotonicity,[status(thm)],[31148])).
% 17.20/12.40 tff(31150,plain,
% 17.20/12.40 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB55) <=> (~((~v139(constB55)) | (~v128(constB55)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB55) <=> (~((~v128(constB55)) | (~v139(constB55))))))),
% 17.20/12.40 inference(transitivity,[status(thm)],[31149, 31147])).
% 17.20/12.40 tff(31151,plain,
% 17.20/12.40 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB55) <=> (~((~v139(constB55)) | (~v128(constB55)))))),
% 17.20/12.40 inference(quant_inst,[status(thm)],[])).
% 17.20/12.40 tff(31152,plain,
% 17.20/12.40 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB55) <=> (~((~v128(constB55)) | (~v139(constB55)))))),
% 17.20/12.40 inference(modus_ponens,[status(thm)],[31151, 31150])).
% 17.20/12.40 tff(31153,plain,
% 17.20/12.40 (v163(constB55) <=> (~((~v128(constB55)) | (~v139(constB55))))),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31152, 171])).
% 17.20/12.40 tff(31154,plain,
% 17.20/12.40 (((~v128(constB55)) | (~v139(constB55))) | v139(constB55)),
% 17.20/12.40 inference(tautology,[status(thm)],[])).
% 17.20/12.40 tff(31155,plain,
% 17.20/12.40 ((~v128(constB55)) | (~v139(constB55))),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31154, 30892])).
% 17.20/12.40 tff(31156,plain,
% 17.20/12.40 ((~(v163(constB55) <=> (~((~v128(constB55)) | (~v139(constB55)))))) | (~v163(constB55)) | (~((~v128(constB55)) | (~v139(constB55))))),
% 17.20/12.40 inference(tautology,[status(thm)],[])).
% 17.20/12.40 tff(31157,plain,
% 17.20/12.40 (~v163(constB55)),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31156, 31155, 31153])).
% 17.20/12.40 tff(31158,plain,
% 17.20/12.40 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB55) <=> (~((~v130(constB55)) | (~v155(constB55)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB55) <=> (~((~v130(constB55)) | (~v155(constB55))))))),
% 17.20/12.40 inference(rewrite,[status(thm)],[])).
% 17.20/12.40 tff(31159,plain,
% 17.20/12.40 ((v164(constB55) <=> (~((~v155(constB55)) | (~v130(constB55))))) <=> (v164(constB55) <=> (~((~v130(constB55)) | (~v155(constB55)))))),
% 17.20/12.40 inference(rewrite,[status(thm)],[])).
% 17.20/12.40 tff(31160,plain,
% 17.20/12.40 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB55) <=> (~((~v155(constB55)) | (~v130(constB55)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB55) <=> (~((~v130(constB55)) | (~v155(constB55))))))),
% 17.20/12.40 inference(monotonicity,[status(thm)],[31159])).
% 17.20/12.40 tff(31161,plain,
% 17.20/12.40 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB55) <=> (~((~v155(constB55)) | (~v130(constB55)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB55) <=> (~((~v130(constB55)) | (~v155(constB55))))))),
% 17.20/12.40 inference(transitivity,[status(thm)],[31160, 31158])).
% 17.20/12.40 tff(31162,plain,
% 17.20/12.40 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB55) <=> (~((~v155(constB55)) | (~v130(constB55)))))),
% 17.20/12.40 inference(quant_inst,[status(thm)],[])).
% 17.20/12.40 tff(31163,plain,
% 17.20/12.40 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB55) <=> (~((~v130(constB55)) | (~v155(constB55)))))),
% 17.20/12.40 inference(modus_ponens,[status(thm)],[31162, 31161])).
% 17.20/12.40 tff(31164,plain,
% 17.20/12.40 (v164(constB55) <=> (~((~v130(constB55)) | (~v155(constB55))))),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31163, 96])).
% 17.20/12.40 tff(31165,plain,
% 17.20/12.40 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB55) <=> v152(constB55))),
% 17.20/12.40 inference(quant_inst,[status(thm)],[])).
% 17.20/12.40 tff(31166,plain,
% 17.20/12.40 (v130(constB55) <=> v152(constB55)),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31165, 361])).
% 17.20/12.40 tff(31167,plain,
% 17.20/12.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB54, constB55)) | (v152(constB55) <=> v150(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB54, constB55)) | (v152(constB55) <=> v150(constB54)))),
% 17.20/12.40 inference(rewrite,[status(thm)],[])).
% 17.20/12.40 tff(31168,plain,
% 17.20/12.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB54, constB55)) | (v152(constB55) <=> v150(constB54)))),
% 17.20/12.40 inference(quant_inst,[status(thm)],[])).
% 17.20/12.40 tff(31169,plain,
% 17.20/12.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB54, constB55)) | (v152(constB55) <=> v150(constB54))),
% 17.20/12.40 inference(modus_ponens,[status(thm)],[31168, 31167])).
% 17.20/12.40 tff(31170,plain,
% 17.20/12.40 (v152(constB55) <=> v150(constB54)),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31169, 7769, 373])).
% 17.20/12.40 tff(31171,plain,
% 17.20/12.40 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB54) <=> (v153(constB54) | v154(constB54)))),
% 17.20/12.40 inference(quant_inst,[status(thm)],[])).
% 17.20/12.40 tff(31172,plain,
% 17.20/12.40 (v150(constB54) <=> (v153(constB54) | v154(constB54))),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31171, 387])).
% 17.20/12.40 tff(31173,plain,
% 17.20/12.40 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB54) <=> (~((~v132(constB54)) | (~v155(constB54)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB54) <=> (~((~v132(constB54)) | (~v155(constB54))))))),
% 17.20/12.40 inference(rewrite,[status(thm)],[])).
% 17.20/12.40 tff(31174,plain,
% 17.20/12.40 ((v154(constB54) <=> (~((~v155(constB54)) | (~v132(constB54))))) <=> (v154(constB54) <=> (~((~v132(constB54)) | (~v155(constB54)))))),
% 17.20/12.40 inference(rewrite,[status(thm)],[])).
% 17.20/12.40 tff(31175,plain,
% 17.20/12.40 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB54) <=> (~((~v155(constB54)) | (~v132(constB54)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB54) <=> (~((~v132(constB54)) | (~v155(constB54))))))),
% 17.20/12.40 inference(monotonicity,[status(thm)],[31174])).
% 17.20/12.40 tff(31176,plain,
% 17.20/12.40 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB54) <=> (~((~v155(constB54)) | (~v132(constB54)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB54) <=> (~((~v132(constB54)) | (~v155(constB54))))))),
% 17.20/12.40 inference(transitivity,[status(thm)],[31175, 31173])).
% 17.20/12.40 tff(31177,plain,
% 17.20/12.40 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB54) <=> (~((~v155(constB54)) | (~v132(constB54)))))),
% 17.20/12.40 inference(quant_inst,[status(thm)],[])).
% 17.20/12.40 tff(31178,plain,
% 17.20/12.40 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB54) <=> (~((~v132(constB54)) | (~v155(constB54)))))),
% 17.20/12.40 inference(modus_ponens,[status(thm)],[31177, 31176])).
% 17.20/12.40 tff(31179,plain,
% 17.20/12.40 (v154(constB54) <=> (~((~v132(constB54)) | (~v155(constB54))))),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31178, 399])).
% 17.20/12.40 tff(31180,plain,
% 17.20/12.40 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB54) <=> (~((~v141(constB54)) | (~v143(constB54)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB54) <=> (~((~v141(constB54)) | (~v143(constB54))))))),
% 17.20/12.40 inference(rewrite,[status(thm)],[])).
% 17.20/12.40 tff(31181,plain,
% 17.20/12.40 ((v155(constB54) <=> (~((~v143(constB54)) | (~v141(constB54))))) <=> (v155(constB54) <=> (~((~v141(constB54)) | (~v143(constB54)))))),
% 17.20/12.40 inference(rewrite,[status(thm)],[])).
% 17.20/12.40 tff(31182,plain,
% 17.20/12.40 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB54) <=> (~((~v143(constB54)) | (~v141(constB54)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB54) <=> (~((~v141(constB54)) | (~v143(constB54))))))),
% 17.20/12.40 inference(monotonicity,[status(thm)],[31181])).
% 17.20/12.40 tff(31183,plain,
% 17.20/12.40 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB54) <=> (~((~v143(constB54)) | (~v141(constB54)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB54) <=> (~((~v141(constB54)) | (~v143(constB54))))))),
% 17.20/12.40 inference(transitivity,[status(thm)],[31182, 31180])).
% 17.20/12.40 tff(31184,plain,
% 17.20/12.40 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB54) <=> (~((~v143(constB54)) | (~v141(constB54)))))),
% 17.20/12.40 inference(quant_inst,[status(thm)],[])).
% 17.20/12.40 tff(31185,plain,
% 17.20/12.40 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB54) <=> (~((~v141(constB54)) | (~v143(constB54)))))),
% 17.20/12.40 inference(modus_ponens,[status(thm)],[31184, 31183])).
% 17.20/12.40 tff(31186,plain,
% 17.20/12.40 (v155(constB54) <=> (~((~v141(constB54)) | (~v143(constB54))))),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31185, 113])).
% 17.20/12.40 tff(31187,plain,
% 17.20/12.40 (((~v141(constB54)) | (~v143(constB54))) | v141(constB54)),
% 17.20/12.40 inference(tautology,[status(thm)],[])).
% 17.20/12.40 tff(31188,plain,
% 17.20/12.40 ((~v141(constB54)) | (~v143(constB54))),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31187, 30927])).
% 17.20/12.40 tff(31189,plain,
% 17.20/12.40 ((~(v155(constB54) <=> (~((~v141(constB54)) | (~v143(constB54)))))) | (~v155(constB54)) | (~((~v141(constB54)) | (~v143(constB54))))),
% 17.20/12.40 inference(tautology,[status(thm)],[])).
% 17.20/12.40 tff(31190,plain,
% 17.20/12.40 ((~(v155(constB54) <=> (~((~v141(constB54)) | (~v143(constB54)))))) | (~v155(constB54))),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31189, 31188])).
% 17.20/12.40 tff(31191,plain,
% 17.20/12.40 (~v155(constB54)),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31190, 31186])).
% 17.20/12.40 tff(31192,plain,
% 17.20/12.40 (((~v132(constB54)) | (~v155(constB54))) | v155(constB54)),
% 17.20/12.40 inference(tautology,[status(thm)],[])).
% 17.20/12.40 tff(31193,plain,
% 17.20/12.40 ((~v132(constB54)) | (~v155(constB54))),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31192, 31191])).
% 17.20/12.40 tff(31194,plain,
% 17.20/12.40 ((~(v154(constB54) <=> (~((~v132(constB54)) | (~v155(constB54)))))) | (~v154(constB54)) | (~((~v132(constB54)) | (~v155(constB54))))),
% 17.20/12.40 inference(tautology,[status(thm)],[])).
% 17.20/12.40 tff(31195,plain,
% 17.20/12.40 (~v154(constB54)),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31194, 31193, 31179])).
% 17.20/12.40 tff(31196,plain,
% 17.20/12.40 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB54) <=> (~((~v130(constB54)) | (~v139(constB54)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB54) <=> (~((~v130(constB54)) | (~v139(constB54))))))),
% 17.20/12.40 inference(rewrite,[status(thm)],[])).
% 17.20/12.40 tff(31197,plain,
% 17.20/12.40 ((v153(constB54) <=> (~((~v139(constB54)) | (~v130(constB54))))) <=> (v153(constB54) <=> (~((~v130(constB54)) | (~v139(constB54)))))),
% 17.20/12.40 inference(rewrite,[status(thm)],[])).
% 17.20/12.40 tff(31198,plain,
% 17.20/12.40 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB54) <=> (~((~v139(constB54)) | (~v130(constB54)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB54) <=> (~((~v130(constB54)) | (~v139(constB54))))))),
% 17.20/12.40 inference(monotonicity,[status(thm)],[31197])).
% 17.20/12.40 tff(31199,plain,
% 17.20/12.40 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB54) <=> (~((~v139(constB54)) | (~v130(constB54)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB54) <=> (~((~v130(constB54)) | (~v139(constB54))))))),
% 17.20/12.40 inference(transitivity,[status(thm)],[31198, 31196])).
% 17.20/12.40 tff(31200,plain,
% 17.20/12.40 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB54) <=> (~((~v139(constB54)) | (~v130(constB54)))))),
% 17.20/12.40 inference(quant_inst,[status(thm)],[])).
% 17.20/12.40 tff(31201,plain,
% 17.20/12.40 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB54) <=> (~((~v130(constB54)) | (~v139(constB54)))))),
% 17.20/12.40 inference(modus_ponens,[status(thm)],[31200, 31199])).
% 17.20/12.40 tff(31202,plain,
% 17.20/12.40 (v153(constB54) <=> (~((~v130(constB54)) | (~v139(constB54))))),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31201, 447])).
% 17.20/12.40 tff(31203,plain,
% 17.20/12.40 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB54) <=> v152(constB54))),
% 17.20/12.40 inference(quant_inst,[status(thm)],[])).
% 17.20/12.40 tff(31204,plain,
% 17.20/12.40 (v130(constB54) <=> v152(constB54)),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31203, 361])).
% 17.20/12.40 tff(31205,plain,
% 17.20/12.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB53, constB54)) | (v152(constB54) <=> v150(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB53, constB54)) | (v152(constB54) <=> v150(constB53)))),
% 17.20/12.40 inference(rewrite,[status(thm)],[])).
% 17.20/12.40 tff(31206,plain,
% 17.20/12.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB53, constB54)) | (v152(constB54) <=> v150(constB53)))),
% 17.20/12.40 inference(quant_inst,[status(thm)],[])).
% 17.20/12.40 tff(31207,plain,
% 17.20/12.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB53, constB54)) | (v152(constB54) <=> v150(constB53))),
% 17.20/12.40 inference(modus_ponens,[status(thm)],[31206, 31205])).
% 17.20/12.40 tff(31208,plain,
% 17.20/12.40 (v152(constB54) <=> v150(constB53)),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31207, 7805, 373])).
% 17.20/12.40 tff(31209,plain,
% 17.20/12.40 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB53) <=> (v153(constB53) | v154(constB53)))),
% 17.20/12.40 inference(quant_inst,[status(thm)],[])).
% 17.20/12.40 tff(31210,plain,
% 17.20/12.40 (v150(constB53) <=> (v153(constB53) | v154(constB53))),
% 17.20/12.40 inference(unit_resolution,[status(thm)],[31209, 387])).
% 17.20/12.41 tff(31211,plain,
% 17.20/12.41 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB53) <=> (~((~v130(constB53)) | (~v139(constB53)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB53) <=> (~((~v130(constB53)) | (~v139(constB53))))))),
% 17.20/12.41 inference(rewrite,[status(thm)],[])).
% 17.20/12.41 tff(31212,plain,
% 17.20/12.41 ((v153(constB53) <=> (~((~v139(constB53)) | (~v130(constB53))))) <=> (v153(constB53) <=> (~((~v130(constB53)) | (~v139(constB53)))))),
% 17.20/12.41 inference(rewrite,[status(thm)],[])).
% 17.20/12.41 tff(31213,plain,
% 17.20/12.41 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB53) <=> (~((~v139(constB53)) | (~v130(constB53)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB53) <=> (~((~v130(constB53)) | (~v139(constB53))))))),
% 17.20/12.41 inference(monotonicity,[status(thm)],[31212])).
% 17.20/12.41 tff(31214,plain,
% 17.20/12.41 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB53) <=> (~((~v139(constB53)) | (~v130(constB53)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB53) <=> (~((~v130(constB53)) | (~v139(constB53))))))),
% 17.20/12.41 inference(transitivity,[status(thm)],[31213, 31211])).
% 17.20/12.41 tff(31215,plain,
% 17.20/12.41 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB53) <=> (~((~v139(constB53)) | (~v130(constB53)))))),
% 17.20/12.41 inference(quant_inst,[status(thm)],[])).
% 17.20/12.41 tff(31216,plain,
% 17.20/12.41 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB53) <=> (~((~v130(constB53)) | (~v139(constB53)))))),
% 17.20/12.41 inference(modus_ponens,[status(thm)],[31215, 31214])).
% 17.20/12.41 tff(31217,plain,
% 17.20/12.41 (v153(constB53) <=> (~((~v130(constB53)) | (~v139(constB53))))),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31216, 447])).
% 17.20/12.41 tff(31218,plain,
% 17.20/12.41 (((~v130(constB53)) | (~v139(constB53))) | v139(constB53)),
% 17.20/12.41 inference(tautology,[status(thm)],[])).
% 17.20/12.41 tff(31219,plain,
% 17.20/12.41 ((~v130(constB53)) | (~v139(constB53))),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31218, 31020])).
% 17.20/12.41 tff(31220,plain,
% 17.20/12.41 ((~(v153(constB53) <=> (~((~v130(constB53)) | (~v139(constB53)))))) | (~v153(constB53)) | (~((~v130(constB53)) | (~v139(constB53))))),
% 17.20/12.41 inference(tautology,[status(thm)],[])).
% 17.20/12.41 tff(31221,plain,
% 17.20/12.41 (~v153(constB53)),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31220, 31219, 31217])).
% 17.20/12.41 tff(31222,plain,
% 17.20/12.41 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB53) <=> (~((~v132(constB53)) | (~v155(constB53)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB53) <=> (~((~v132(constB53)) | (~v155(constB53))))))),
% 17.20/12.41 inference(rewrite,[status(thm)],[])).
% 17.20/12.41 tff(31223,plain,
% 17.20/12.41 ((v154(constB53) <=> (~((~v155(constB53)) | (~v132(constB53))))) <=> (v154(constB53) <=> (~((~v132(constB53)) | (~v155(constB53)))))),
% 17.20/12.41 inference(rewrite,[status(thm)],[])).
% 17.20/12.41 tff(31224,plain,
% 17.20/12.41 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB53) <=> (~((~v155(constB53)) | (~v132(constB53)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB53) <=> (~((~v132(constB53)) | (~v155(constB53))))))),
% 17.20/12.41 inference(monotonicity,[status(thm)],[31223])).
% 17.20/12.41 tff(31225,plain,
% 17.20/12.41 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB53) <=> (~((~v155(constB53)) | (~v132(constB53)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB53) <=> (~((~v132(constB53)) | (~v155(constB53))))))),
% 17.20/12.41 inference(transitivity,[status(thm)],[31224, 31222])).
% 17.20/12.41 tff(31226,plain,
% 17.20/12.41 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB53) <=> (~((~v155(constB53)) | (~v132(constB53)))))),
% 17.20/12.41 inference(quant_inst,[status(thm)],[])).
% 17.20/12.41 tff(31227,plain,
% 17.20/12.41 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB53) <=> (~((~v132(constB53)) | (~v155(constB53)))))),
% 17.20/12.41 inference(modus_ponens,[status(thm)],[31226, 31225])).
% 17.20/12.41 tff(31228,plain,
% 17.20/12.41 (v154(constB53) <=> (~((~v132(constB53)) | (~v155(constB53))))),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31227, 399])).
% 17.20/12.41 tff(31229,plain,
% 17.20/12.41 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB53) <=> v137(constB53))),
% 17.20/12.41 inference(quant_inst,[status(thm)],[])).
% 17.20/12.41 tff(31230,plain,
% 17.20/12.41 (v132(constB53) <=> v137(constB53)),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31229, 558])).
% 17.20/12.41 tff(31231,plain,
% 17.20/12.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB52, constB53)) | (v137(constB53) <=> v135(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB52, constB53)) | (v137(constB53) <=> v135(constB52)))),
% 17.20/12.41 inference(rewrite,[status(thm)],[])).
% 17.20/12.41 tff(31232,plain,
% 17.20/12.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB52, constB53)) | (v137(constB53) <=> v135(constB52)))),
% 17.20/12.41 inference(quant_inst,[status(thm)],[])).
% 17.20/12.41 tff(31233,plain,
% 17.20/12.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB52, constB53)) | (v137(constB53) <=> v135(constB52))),
% 17.20/12.41 inference(modus_ponens,[status(thm)],[31232, 31231])).
% 17.20/12.41 tff(31234,plain,
% 17.20/12.41 (v137(constB53) <=> v135(constB52)),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31233, 7835, 570])).
% 17.20/12.41 tff(31235,plain,
% 17.20/12.41 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB52) <=> (v138(constB52) | v142(constB52)))),
% 17.20/12.41 inference(quant_inst,[status(thm)],[])).
% 17.20/12.41 tff(31236,plain,
% 17.20/12.41 (v135(constB52) <=> (v138(constB52) | v142(constB52))),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31235, 584])).
% 17.20/12.41 tff(31237,plain,
% 17.20/12.41 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB52) <=> (~((~v143(constB52)) | (~v144(constB52)))))),
% 17.20/12.41 inference(quant_inst,[status(thm)],[])).
% 17.20/12.41 tff(31238,plain,
% 17.20/12.41 (v142(constB52) <=> (~((~v143(constB52)) | (~v144(constB52))))),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31237, 596])).
% 17.20/12.41 tff(31239,plain,
% 17.20/12.41 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB52) <=> (~((~v141(constB52)) | (~v145(constB52)))))),
% 17.20/12.41 inference(quant_inst,[status(thm)],[])).
% 17.20/12.41 tff(31240,plain,
% 17.20/12.41 (v144(constB52) <=> (~((~v141(constB52)) | (~v145(constB52))))),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31239, 608])).
% 17.20/12.41 tff(31241,plain,
% 17.20/12.41 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))),
% 17.20/12.41 inference(quant_inst,[status(thm)],[])).
% 17.20/12.41 tff(31242,plain,
% 17.20/12.41 (v141(constB52) <=> (~((~v39(constB52)) | (~v9(constB52))))),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31241, 130])).
% 17.20/12.41 tff(31243,plain,
% 17.20/12.41 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB52)) <=> v1(constB52))),
% 17.20/12.41 inference(quant_inst,[status(thm)],[])).
% 17.20/12.41 tff(31244,plain,
% 17.20/12.41 ((~v39(constB52)) <=> v1(constB52)),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31243, 139])).
% 17.20/12.41 tff(31245,plain,
% 17.20/12.41 ((~((~v39(constB52)) <=> v1(constB52))) | (~v39(constB52)) | (~v1(constB52))),
% 17.20/12.41 inference(tautology,[status(thm)],[])).
% 17.20/12.41 tff(31246,plain,
% 17.20/12.41 ((~((~v39(constB52)) <=> v1(constB52))) | (~v39(constB52))),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31245, 8839])).
% 17.20/12.41 tff(31247,plain,
% 17.20/12.41 (~v39(constB52)),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31246, 31244])).
% 17.20/12.41 tff(31248,plain,
% 17.20/12.41 (((~v39(constB52)) | (~v9(constB52))) | v39(constB52)),
% 17.20/12.41 inference(tautology,[status(thm)],[])).
% 17.20/12.41 tff(31249,plain,
% 17.20/12.41 ((~v39(constB52)) | (~v9(constB52))),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31248, 31247])).
% 17.20/12.41 tff(31250,plain,
% 17.20/12.41 ((~(v141(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))) | (~v141(constB52)) | (~((~v39(constB52)) | (~v9(constB52))))),
% 17.20/12.41 inference(tautology,[status(thm)],[])).
% 17.20/12.41 tff(31251,plain,
% 17.20/12.41 ((~(v141(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))) | (~v141(constB52))),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31250, 31249])).
% 17.20/12.41 tff(31252,plain,
% 17.20/12.41 (~v141(constB52)),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31251, 31242])).
% 17.20/12.41 tff(31253,plain,
% 17.20/12.41 (((~v141(constB52)) | (~v145(constB52))) | v141(constB52)),
% 17.20/12.41 inference(tautology,[status(thm)],[])).
% 17.20/12.41 tff(31254,plain,
% 17.20/12.41 ((~v141(constB52)) | (~v145(constB52))),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31253, 31252])).
% 17.20/12.41 tff(31255,plain,
% 17.20/12.41 ((~(v144(constB52) <=> (~((~v141(constB52)) | (~v145(constB52)))))) | (~v144(constB52)) | (~((~v141(constB52)) | (~v145(constB52))))),
% 17.20/12.41 inference(tautology,[status(thm)],[])).
% 17.20/12.41 tff(31256,plain,
% 17.20/12.41 ((~(v144(constB52) <=> (~((~v141(constB52)) | (~v145(constB52)))))) | (~v144(constB52))),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31255, 31254])).
% 17.20/12.41 tff(31257,plain,
% 17.20/12.41 (~v144(constB52)),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31256, 31240])).
% 17.20/12.41 tff(31258,plain,
% 17.20/12.41 (((~v143(constB52)) | (~v144(constB52))) | v144(constB52)),
% 17.20/12.41 inference(tautology,[status(thm)],[])).
% 17.20/12.41 tff(31259,plain,
% 17.20/12.41 ((~v143(constB52)) | (~v144(constB52))),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31258, 31257])).
% 17.20/12.41 tff(31260,plain,
% 17.20/12.41 ((~(v142(constB52) <=> (~((~v143(constB52)) | (~v144(constB52)))))) | (~v142(constB52)) | (~((~v143(constB52)) | (~v144(constB52))))),
% 17.20/12.41 inference(tautology,[status(thm)],[])).
% 17.20/12.41 tff(31261,plain,
% 17.20/12.41 (~v142(constB52)),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31260, 31259, 31238])).
% 17.20/12.41 tff(31262,plain,
% 17.20/12.41 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB52) <=> (~((~v132(constB52)) | (~v139(constB52)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB52) <=> (~((~v132(constB52)) | (~v139(constB52))))))),
% 17.20/12.41 inference(rewrite,[status(thm)],[])).
% 17.20/12.41 tff(31263,plain,
% 17.20/12.41 ((v138(constB52) <=> (~((~v139(constB52)) | (~v132(constB52))))) <=> (v138(constB52) <=> (~((~v132(constB52)) | (~v139(constB52)))))),
% 17.20/12.41 inference(rewrite,[status(thm)],[])).
% 17.20/12.41 tff(31264,plain,
% 17.20/12.41 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB52) <=> (~((~v139(constB52)) | (~v132(constB52)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB52) <=> (~((~v132(constB52)) | (~v139(constB52))))))),
% 17.20/12.41 inference(monotonicity,[status(thm)],[31263])).
% 17.20/12.41 tff(31265,plain,
% 17.20/12.41 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB52) <=> (~((~v139(constB52)) | (~v132(constB52)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB52) <=> (~((~v132(constB52)) | (~v139(constB52))))))),
% 17.20/12.41 inference(transitivity,[status(thm)],[31264, 31262])).
% 17.20/12.41 tff(31266,plain,
% 17.20/12.41 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB52) <=> (~((~v139(constB52)) | (~v132(constB52)))))),
% 17.20/12.41 inference(quant_inst,[status(thm)],[])).
% 17.20/12.41 tff(31267,plain,
% 17.20/12.41 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB52) <=> (~((~v132(constB52)) | (~v139(constB52)))))),
% 17.20/12.41 inference(modus_ponens,[status(thm)],[31266, 31265])).
% 17.20/12.41 tff(31268,plain,
% 17.20/12.41 (v138(constB52) <=> (~((~v132(constB52)) | (~v139(constB52))))),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31267, 644])).
% 17.20/12.41 tff(31269,plain,
% 17.20/12.41 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB52) <=> v137(constB52))),
% 17.20/12.41 inference(quant_inst,[status(thm)],[])).
% 17.20/12.41 tff(31270,plain,
% 17.20/12.41 (v132(constB52) <=> v137(constB52)),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31269, 558])).
% 17.20/12.41 tff(31271,plain,
% 17.20/12.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB51, constB52)) | (v137(constB52) <=> v135(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB51, constB52)) | (v137(constB52) <=> v135(constB51)))),
% 17.20/12.41 inference(rewrite,[status(thm)],[])).
% 17.20/12.41 tff(31272,plain,
% 17.20/12.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB51, constB52)) | (v137(constB52) <=> v135(constB51)))),
% 17.20/12.41 inference(quant_inst,[status(thm)],[])).
% 17.20/12.41 tff(31273,plain,
% 17.20/12.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB51, constB52)) | (v137(constB52) <=> v135(constB51))),
% 17.20/12.41 inference(modus_ponens,[status(thm)],[31272, 31271])).
% 17.20/12.41 tff(31274,plain,
% 17.20/12.41 (v137(constB52) <=> v135(constB51)),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31273, 7871, 570])).
% 17.20/12.41 tff(31275,plain,
% 17.20/12.41 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB51) <=> (v138(constB51) | v142(constB51)))),
% 17.20/12.41 inference(quant_inst,[status(thm)],[])).
% 17.20/12.41 tff(31276,plain,
% 17.20/12.41 (v135(constB51) <=> (v138(constB51) | v142(constB51))),
% 17.20/12.41 inference(unit_resolution,[status(thm)],[31275, 584])).
% 17.20/12.41 tff(31277,plain,
% 17.20/12.41 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB51) <=> (~((~v132(constB51)) | (~v139(constB51)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB51) <=> (~((~v132(constB51)) | (~v139(constB51))))))),
% 17.20/12.41 inference(rewrite,[status(thm)],[])).
% 17.20/12.41 tff(31278,plain,
% 17.20/12.41 ((v138(constB51) <=> (~((~v139(constB51)) | (~v132(constB51))))) <=> (v138(constB51) <=> (~((~v132(constB51)) | (~v139(constB51)))))),
% 17.20/12.41 inference(rewrite,[status(thm)],[])).
% 17.20/12.41 tff(31279,plain,
% 17.20/12.41 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB51) <=> (~((~v139(constB51)) | (~v132(constB51)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB51) <=> (~((~v132(constB51)) | (~v139(constB51))))))),
% 17.20/12.41 inference(monotonicity,[status(thm)],[31278])).
% 17.20/12.41 tff(31280,plain,
% 17.20/12.41 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB51) <=> (~((~v139(constB51)) | (~v132(constB51)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB51) <=> (~((~v132(constB51)) | (~v139(constB51))))))),
% 17.20/12.41 inference(transitivity,[status(thm)],[31279, 31277])).
% 17.20/12.41 tff(31281,plain,
% 17.20/12.41 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB51) <=> (~((~v139(constB51)) | (~v132(constB51)))))),
% 17.28/12.41 inference(quant_inst,[status(thm)],[])).
% 17.28/12.41 tff(31282,plain,
% 17.28/12.41 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB51) <=> (~((~v132(constB51)) | (~v139(constB51)))))),
% 17.28/12.41 inference(modus_ponens,[status(thm)],[31281, 31280])).
% 17.28/12.41 tff(31283,plain,
% 17.28/12.41 (v138(constB51) <=> (~((~v132(constB51)) | (~v139(constB51))))),
% 17.28/12.41 inference(unit_resolution,[status(thm)],[31282, 644])).
% 17.28/12.41 tff(31284,plain,
% 17.28/12.41 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB51)) <=> v140(constB51))),
% 17.28/12.41 inference(quant_inst,[status(thm)],[])).
% 17.28/12.41 tff(31285,plain,
% 17.28/12.41 ((~v139(constB51)) <=> v140(constB51)),
% 17.28/12.41 inference(unit_resolution,[status(thm)],[31284, 203])).
% 17.28/12.41 tff(31286,plain,
% 17.28/12.41 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB51) <=> (v141(constB51) | v26(constB51)))),
% 17.28/12.41 inference(quant_inst,[status(thm)],[])).
% 17.28/12.41 tff(31287,plain,
% 17.28/12.41 (v140(constB51) <=> (v141(constB51) | v26(constB51))),
% 17.28/12.41 inference(unit_resolution,[status(thm)],[31286, 212])).
% 17.28/12.41 tff(31288,plain,
% 17.28/12.41 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB51) <=> (~((~v39(constB51)) | (~v9(constB51)))))),
% 17.28/12.41 inference(quant_inst,[status(thm)],[])).
% 17.28/12.41 tff(31289,plain,
% 17.28/12.41 (v141(constB51) <=> (~((~v39(constB51)) | (~v9(constB51))))),
% 17.28/12.41 inference(unit_resolution,[status(thm)],[31288, 130])).
% 17.28/12.41 tff(31290,plain,
% 17.28/12.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB51, constB52)) | (v13(constB52) <=> v9(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB51, constB52)) | (v13(constB52) <=> v9(constB51)))),
% 17.28/12.41 inference(rewrite,[status(thm)],[])).
% 17.28/12.41 tff(31291,plain,
% 17.28/12.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB51, constB52)) | (v13(constB52) <=> v9(constB51)))),
% 17.28/12.41 inference(quant_inst,[status(thm)],[])).
% 17.28/12.41 tff(31292,plain,
% 17.28/12.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB51, constB52)) | (v13(constB52) <=> v9(constB51))),
% 17.28/12.41 inference(modus_ponens,[status(thm)],[31291, 31290])).
% 17.28/12.41 tff(31293,plain,
% 17.28/12.41 (v13(constB52) <=> v9(constB51)),
% 17.28/12.41 inference(unit_resolution,[status(thm)],[31292, 7871, 226])).
% 17.28/12.41 tff(31294,plain,
% 17.28/12.41 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB52) <=> v13(constB52))),
% 17.28/12.41 inference(quant_inst,[status(thm)],[])).
% 17.28/12.41 tff(31295,plain,
% 17.28/12.41 (v6(constB52) <=> v13(constB52)),
% 17.28/12.41 inference(unit_resolution,[status(thm)],[31294, 240])).
% 17.28/12.41 tff(31296,plain,
% 17.28/12.41 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB52)) <=> v6(constB52))),
% 17.28/12.41 inference(quant_inst,[status(thm)],[])).
% 17.28/12.41 tff(31297,plain,
% 17.28/12.41 ((~v21(constB52)) <=> v6(constB52)),
% 17.28/12.41 inference(unit_resolution,[status(thm)],[31296, 249])).
% 17.28/12.41 tff(31298,plain,
% 17.28/12.41 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB52) <=> (v20(constB52) | v21(constB52)))),
% 17.28/12.41 inference(quant_inst,[status(thm)],[])).
% 17.28/12.41 tff(31299,plain,
% 17.28/12.41 (v19(constB52) <=> (v20(constB52) | v21(constB52))),
% 17.28/12.41 inference(unit_resolution,[status(thm)],[31298, 258])).
% 17.28/12.41 tff(31300,plain,
% 17.28/12.41 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB52) <=> (~((~v19(constB52)) | (~v22(constB52)))))),
% 17.28/12.41 inference(quant_inst,[status(thm)],[])).
% 17.28/12.41 tff(31301,plain,
% 17.28/12.41 (v18(constB52) <=> (~((~v19(constB52)) | (~v22(constB52))))),
% 17.28/12.41 inference(unit_resolution,[status(thm)],[31300, 270])).
% 17.28/12.41 tff(31302,plain,
% 17.28/12.41 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB52)) <=> v18(constB52))),
% 17.28/12.41 inference(quant_inst,[status(thm)],[])).
% 17.28/12.41 tff(31303,plain,
% 17.28/12.41 ((~v4(constB52)) <=> v18(constB52)),
% 17.28/12.41 inference(unit_resolution,[status(thm)],[31302, 279])).
% 17.28/12.41 tff(31304,plain,
% 17.28/12.41 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB52)),
% 17.28/12.41 inference(quant_inst,[status(thm)],[])).
% 17.28/12.41 tff(31305,plain,
% 17.28/12.41 (v4(constB52)),
% 17.28/12.41 inference(unit_resolution,[status(thm)],[31304, 288])).
% 17.28/12.41 tff(31306,plain,
% 17.28/12.41 ((~((~v4(constB52)) <=> v18(constB52))) | (~v4(constB52)) | (~v18(constB52))),
% 17.28/12.41 inference(tautology,[status(thm)],[])).
% 17.28/12.41 tff(31307,plain,
% 17.28/12.41 (~v18(constB52)),
% 17.28/12.41 inference(unit_resolution,[status(thm)],[31306, 31305, 31303])).
% 17.28/12.41 tff(31308,plain,
% 17.28/12.41 ((~(v18(constB52) <=> (~((~v19(constB52)) | (~v22(constB52)))))) | v18(constB52) | ((~v19(constB52)) | (~v22(constB52)))),
% 17.28/12.41 inference(tautology,[status(thm)],[])).
% 17.28/12.41 tff(31309,plain,
% 17.28/12.41 ((~v19(constB52)) | (~v22(constB52))),
% 17.28/12.41 inference(unit_resolution,[status(thm)],[31308, 31307, 31301])).
% 17.28/12.41 tff(31310,plain,
% 17.28/12.41 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB52) <=> (v1(constB52) | v6(constB52)))),
% 17.28/12.41 inference(quant_inst,[status(thm)],[])).
% 17.28/12.41 tff(31311,plain,
% 17.28/12.41 (v22(constB52) <=> (v1(constB52) | v6(constB52))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31310, 301])).
% 17.28/12.42 tff(31312,plain,
% 17.28/12.42 ((v1(constB52) | v6(constB52)) | (~v1(constB52))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31313,plain,
% 17.28/12.42 (v1(constB52) | v6(constB52)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31312, 8839])).
% 17.28/12.42 tff(31314,plain,
% 17.28/12.42 ((~(v22(constB52) <=> (v1(constB52) | v6(constB52)))) | v22(constB52) | (~(v1(constB52) | v6(constB52)))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31315,plain,
% 17.28/12.42 ((~(v22(constB52) <=> (v1(constB52) | v6(constB52)))) | v22(constB52)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31314, 31313])).
% 17.28/12.42 tff(31316,plain,
% 17.28/12.42 (v22(constB52)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31315, 31311])).
% 17.28/12.42 tff(31317,plain,
% 17.28/12.42 ((~((~v19(constB52)) | (~v22(constB52)))) | (~v19(constB52)) | (~v22(constB52))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31318,plain,
% 17.28/12.42 ((~((~v19(constB52)) | (~v22(constB52)))) | (~v19(constB52))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31317, 31316])).
% 17.28/12.42 tff(31319,plain,
% 17.28/12.42 (~v19(constB52)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31318, 31309])).
% 17.28/12.42 tff(31320,plain,
% 17.28/12.42 ((~(v19(constB52) <=> (v20(constB52) | v21(constB52)))) | v19(constB52) | (~(v20(constB52) | v21(constB52)))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31321,plain,
% 17.28/12.42 (~(v20(constB52) | v21(constB52))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31320, 31319, 31299])).
% 17.28/12.42 tff(31322,plain,
% 17.28/12.42 ((v20(constB52) | v21(constB52)) | (~v21(constB52))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31323,plain,
% 17.28/12.42 (~v21(constB52)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31322, 31321])).
% 17.28/12.42 tff(31324,plain,
% 17.28/12.42 ((~((~v21(constB52)) <=> v6(constB52))) | v21(constB52) | v6(constB52)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31325,plain,
% 17.28/12.42 (v6(constB52)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31324, 31323, 31297])).
% 17.28/12.42 tff(31326,plain,
% 17.28/12.42 ((~(v6(constB52) <=> v13(constB52))) | (~v6(constB52)) | v13(constB52)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31327,plain,
% 17.28/12.42 (v13(constB52)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31326, 31325, 31295])).
% 17.28/12.42 tff(31328,plain,
% 17.28/12.42 ((~(v13(constB52) <=> v9(constB51))) | (~v13(constB52)) | v9(constB51)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31329,plain,
% 17.28/12.42 (v9(constB51)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31328, 31327, 31293])).
% 17.28/12.42 tff(31330,plain,
% 17.28/12.42 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB51)) <=> v1(constB51))),
% 17.28/12.42 inference(quant_inst,[status(thm)],[])).
% 17.28/12.42 tff(31331,plain,
% 17.28/12.42 ((~v39(constB51)) <=> v1(constB51)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31330, 139])).
% 17.28/12.42 tff(31332,plain,
% 17.28/12.42 ((~((~v39(constB51)) <=> v1(constB51))) | v39(constB51) | v1(constB51)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31333,plain,
% 17.28/12.42 ((~((~v39(constB51)) <=> v1(constB51))) | v39(constB51)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31332, 7910])).
% 17.28/12.42 tff(31334,plain,
% 17.28/12.42 (v39(constB51)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31333, 31331])).
% 17.28/12.42 tff(31335,plain,
% 17.28/12.42 ((~((~v39(constB51)) | (~v9(constB51)))) | (~v39(constB51)) | (~v9(constB51))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31336,plain,
% 17.28/12.42 ((~((~v39(constB51)) | (~v9(constB51)))) | (~v9(constB51))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31335, 31334])).
% 17.28/12.42 tff(31337,plain,
% 17.28/12.42 (~((~v39(constB51)) | (~v9(constB51)))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31336, 31329])).
% 17.28/12.42 tff(31338,plain,
% 17.28/12.42 ((~(v141(constB51) <=> (~((~v39(constB51)) | (~v9(constB51)))))) | v141(constB51) | ((~v39(constB51)) | (~v9(constB51)))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31339,plain,
% 17.28/12.42 (v141(constB51)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31338, 31337, 31289])).
% 17.28/12.42 tff(31340,plain,
% 17.28/12.42 ((v141(constB51) | v26(constB51)) | (~v141(constB51))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31341,plain,
% 17.28/12.42 (v141(constB51) | v26(constB51)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31340, 31339])).
% 17.28/12.42 tff(31342,plain,
% 17.28/12.42 ((~(v140(constB51) <=> (v141(constB51) | v26(constB51)))) | v140(constB51) | (~(v141(constB51) | v26(constB51)))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31343,plain,
% 17.28/12.42 (v140(constB51)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31342, 31341, 31287])).
% 17.28/12.42 tff(31344,plain,
% 17.28/12.42 ((~((~v139(constB51)) <=> v140(constB51))) | (~v139(constB51)) | (~v140(constB51))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31345,plain,
% 17.28/12.42 (~v139(constB51)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31344, 31343, 31285])).
% 17.28/12.42 tff(31346,plain,
% 17.28/12.42 (((~v132(constB51)) | (~v139(constB51))) | v139(constB51)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31347,plain,
% 17.28/12.42 ((~v132(constB51)) | (~v139(constB51))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31346, 31345])).
% 17.28/12.42 tff(31348,plain,
% 17.28/12.42 ((~(v138(constB51) <=> (~((~v132(constB51)) | (~v139(constB51)))))) | (~v138(constB51)) | (~((~v132(constB51)) | (~v139(constB51))))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31349,plain,
% 17.28/12.42 (~v138(constB51)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31348, 31347, 31283])).
% 17.28/12.42 tff(31350,plain,
% 17.28/12.42 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB51) <=> (~((~v143(constB51)) | (~v144(constB51)))))),
% 17.28/12.42 inference(quant_inst,[status(thm)],[])).
% 17.28/12.42 tff(31351,plain,
% 17.28/12.42 (v142(constB51) <=> (~((~v143(constB51)) | (~v144(constB51))))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31350, 596])).
% 17.28/12.42 tff(31352,plain,
% 17.28/12.42 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB51) <=> (~((~v141(constB51)) | (~v145(constB51)))))),
% 17.28/12.42 inference(quant_inst,[status(thm)],[])).
% 17.28/12.42 tff(31353,plain,
% 17.28/12.42 (v144(constB51) <=> (~((~v141(constB51)) | (~v145(constB51))))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31352, 608])).
% 17.28/12.42 tff(31354,plain,
% 17.28/12.42 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB51) <=> (~(v84(constB51, 1) | v84(constB51, 2) | (~v84(constB51, 0)))))),
% 17.28/12.42 inference(quant_inst,[status(thm)],[])).
% 17.28/12.42 tff(31355,plain,
% 17.28/12.42 (v145(constB51) <=> (~(v84(constB51, 1) | v84(constB51, 2) | (~v84(constB51, 0))))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31354, 755])).
% 17.28/12.42 tff(31356,plain,
% 17.28/12.42 ((v84(constB51, 1) | v84(constB51, 2) | (~v84(constB51, 0))) | (~v84(constB51, 1))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31357,plain,
% 17.28/12.42 (v84(constB51, 1) | v84(constB51, 2) | (~v84(constB51, 0))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31356, 8797])).
% 17.28/12.42 tff(31358,plain,
% 17.28/12.42 ((~(v145(constB51) <=> (~(v84(constB51, 1) | v84(constB51, 2) | (~v84(constB51, 0)))))) | (~v145(constB51)) | (~(v84(constB51, 1) | v84(constB51, 2) | (~v84(constB51, 0))))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31359,plain,
% 17.28/12.42 (~v145(constB51)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31358, 31357, 31355])).
% 17.28/12.42 tff(31360,plain,
% 17.28/12.42 (((~v141(constB51)) | (~v145(constB51))) | v145(constB51)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31361,plain,
% 17.28/12.42 ((~v141(constB51)) | (~v145(constB51))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31360, 31359])).
% 17.28/12.42 tff(31362,plain,
% 17.28/12.42 ((~(v144(constB51) <=> (~((~v141(constB51)) | (~v145(constB51)))))) | (~v144(constB51)) | (~((~v141(constB51)) | (~v145(constB51))))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31363,plain,
% 17.28/12.42 (~v144(constB51)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31362, 31361, 31353])).
% 17.28/12.42 tff(31364,plain,
% 17.28/12.42 (((~v143(constB51)) | (~v144(constB51))) | v144(constB51)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31365,plain,
% 17.28/12.42 ((~v143(constB51)) | (~v144(constB51))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31364, 31363])).
% 17.28/12.42 tff(31366,plain,
% 17.28/12.42 ((~(v142(constB51) <=> (~((~v143(constB51)) | (~v144(constB51)))))) | (~v142(constB51)) | (~((~v143(constB51)) | (~v144(constB51))))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31367,plain,
% 17.28/12.42 (~v142(constB51)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31366, 31365, 31351])).
% 17.28/12.42 tff(31368,plain,
% 17.28/12.42 ((~(v138(constB51) | v142(constB51))) | v138(constB51) | v142(constB51)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31369,plain,
% 17.28/12.42 (~(v138(constB51) | v142(constB51))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31368, 31367, 31349])).
% 17.28/12.42 tff(31370,plain,
% 17.28/12.42 ((~(v135(constB51) <=> (v138(constB51) | v142(constB51)))) | (~v135(constB51)) | (v138(constB51) | v142(constB51))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31371,plain,
% 17.28/12.42 (~v135(constB51)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31370, 31369, 31276])).
% 17.28/12.42 tff(31372,plain,
% 17.28/12.42 ((~(v137(constB52) <=> v135(constB51))) | (~v137(constB52)) | v135(constB51)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31373,plain,
% 17.28/12.42 (~v137(constB52)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31372, 31371, 31274])).
% 17.28/12.42 tff(31374,plain,
% 17.28/12.42 ((~(v132(constB52) <=> v137(constB52))) | (~v132(constB52)) | v137(constB52)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31375,plain,
% 17.28/12.42 (~v132(constB52)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31374, 31373, 31270])).
% 17.28/12.42 tff(31376,plain,
% 17.28/12.42 (((~v132(constB52)) | (~v139(constB52))) | v132(constB52)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31377,plain,
% 17.28/12.42 ((~v132(constB52)) | (~v139(constB52))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31376, 31375])).
% 17.28/12.42 tff(31378,plain,
% 17.28/12.42 ((~(v138(constB52) <=> (~((~v132(constB52)) | (~v139(constB52)))))) | (~v138(constB52)) | (~((~v132(constB52)) | (~v139(constB52))))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31379,plain,
% 17.28/12.42 (~v138(constB52)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31378, 31377, 31268])).
% 17.28/12.42 tff(31380,plain,
% 17.28/12.42 ((~(v138(constB52) | v142(constB52))) | v138(constB52) | v142(constB52)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31381,plain,
% 17.28/12.42 (~(v138(constB52) | v142(constB52))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31380, 31379, 31261])).
% 17.28/12.42 tff(31382,plain,
% 17.28/12.42 ((~(v135(constB52) <=> (v138(constB52) | v142(constB52)))) | (~v135(constB52)) | (v138(constB52) | v142(constB52))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31383,plain,
% 17.28/12.42 (~v135(constB52)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31382, 31381, 31236])).
% 17.28/12.42 tff(31384,plain,
% 17.28/12.42 ((~(v137(constB53) <=> v135(constB52))) | (~v137(constB53)) | v135(constB52)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31385,plain,
% 17.28/12.42 (~v137(constB53)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31384, 31383, 31234])).
% 17.28/12.42 tff(31386,plain,
% 17.28/12.42 ((~(v132(constB53) <=> v137(constB53))) | (~v132(constB53)) | v137(constB53)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31387,plain,
% 17.28/12.42 (~v132(constB53)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31386, 31385, 31230])).
% 17.28/12.42 tff(31388,plain,
% 17.28/12.42 (((~v132(constB53)) | (~v155(constB53))) | v132(constB53)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31389,plain,
% 17.28/12.42 ((~v132(constB53)) | (~v155(constB53))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31388, 31387])).
% 17.28/12.42 tff(31390,plain,
% 17.28/12.42 ((~(v154(constB53) <=> (~((~v132(constB53)) | (~v155(constB53)))))) | (~v154(constB53)) | (~((~v132(constB53)) | (~v155(constB53))))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31391,plain,
% 17.28/12.42 (~v154(constB53)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31390, 31389, 31228])).
% 17.28/12.42 tff(31392,plain,
% 17.28/12.42 ((~(v153(constB53) | v154(constB53))) | v153(constB53) | v154(constB53)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31393,plain,
% 17.28/12.42 (~(v153(constB53) | v154(constB53))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31392, 31391, 31221])).
% 17.28/12.42 tff(31394,plain,
% 17.28/12.42 ((~(v150(constB53) <=> (v153(constB53) | v154(constB53)))) | (~v150(constB53)) | (v153(constB53) | v154(constB53))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31395,plain,
% 17.28/12.42 (~v150(constB53)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31394, 31393, 31210])).
% 17.28/12.42 tff(31396,plain,
% 17.28/12.42 ((~(v152(constB54) <=> v150(constB53))) | (~v152(constB54)) | v150(constB53)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31397,plain,
% 17.28/12.42 (~v152(constB54)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31396, 31395, 31208])).
% 17.28/12.42 tff(31398,plain,
% 17.28/12.42 ((~(v130(constB54) <=> v152(constB54))) | (~v130(constB54)) | v152(constB54)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31399,plain,
% 17.28/12.42 (~v130(constB54)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31398, 31397, 31204])).
% 17.28/12.42 tff(31400,plain,
% 17.28/12.42 (((~v130(constB54)) | (~v139(constB54))) | v130(constB54)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31401,plain,
% 17.28/12.42 ((~v130(constB54)) | (~v139(constB54))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31400, 31399])).
% 17.28/12.42 tff(31402,plain,
% 17.28/12.42 ((~(v153(constB54) <=> (~((~v130(constB54)) | (~v139(constB54)))))) | (~v153(constB54)) | (~((~v130(constB54)) | (~v139(constB54))))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31403,plain,
% 17.28/12.42 (~v153(constB54)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31402, 31401, 31202])).
% 17.28/12.42 tff(31404,plain,
% 17.28/12.42 ((~(v153(constB54) | v154(constB54))) | v153(constB54) | v154(constB54)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31405,plain,
% 17.28/12.42 (~(v153(constB54) | v154(constB54))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31404, 31403, 31195])).
% 17.28/12.42 tff(31406,plain,
% 17.28/12.42 ((~(v150(constB54) <=> (v153(constB54) | v154(constB54)))) | (~v150(constB54)) | (v153(constB54) | v154(constB54))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31407,plain,
% 17.28/12.42 (~v150(constB54)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31406, 31405, 31172])).
% 17.28/12.42 tff(31408,plain,
% 17.28/12.42 ((~(v152(constB55) <=> v150(constB54))) | (~v152(constB55)) | v150(constB54)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31409,plain,
% 17.28/12.42 (~v152(constB55)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31408, 31407, 31170])).
% 17.28/12.42 tff(31410,plain,
% 17.28/12.42 ((~(v130(constB55) <=> v152(constB55))) | (~v130(constB55)) | v152(constB55)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31411,plain,
% 17.28/12.42 (~v130(constB55)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31410, 31409, 31166])).
% 17.28/12.42 tff(31412,plain,
% 17.28/12.42 (((~v130(constB55)) | (~v155(constB55))) | v130(constB55)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31413,plain,
% 17.28/12.42 ((~v130(constB55)) | (~v155(constB55))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31412, 31411])).
% 17.28/12.42 tff(31414,plain,
% 17.28/12.42 ((~(v164(constB55) <=> (~((~v130(constB55)) | (~v155(constB55)))))) | (~v164(constB55)) | (~((~v130(constB55)) | (~v155(constB55))))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31415,plain,
% 17.28/12.42 (~v164(constB55)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31414, 31413, 31164])).
% 17.28/12.42 tff(31416,plain,
% 17.28/12.42 ((~(v163(constB55) | v164(constB55))) | v163(constB55) | v164(constB55)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31417,plain,
% 17.28/12.42 (~(v163(constB55) | v164(constB55))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31416, 31415, 31157])).
% 17.28/12.42 tff(31418,plain,
% 17.28/12.42 ((~(v160(constB55) <=> (v163(constB55) | v164(constB55)))) | (~v160(constB55)) | (v163(constB55) | v164(constB55))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31419,plain,
% 17.28/12.42 (~v160(constB55)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31418, 31417, 31146])).
% 17.28/12.42 tff(31420,plain,
% 17.28/12.42 ((~(v162(constB56) <=> v160(constB55))) | (~v162(constB56)) | v160(constB55)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31421,plain,
% 17.28/12.42 (~v162(constB56)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31420, 31419, 31144])).
% 17.28/12.42 tff(31422,plain,
% 17.28/12.42 ((~(v128(constB56) <=> v162(constB56))) | (~v128(constB56)) | v162(constB56)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31423,plain,
% 17.28/12.42 (~v128(constB56)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31422, 31421, 31140])).
% 17.28/12.42 tff(31424,plain,
% 17.28/12.42 (((~v128(constB56)) | (~v139(constB56))) | v128(constB56)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31425,plain,
% 17.28/12.42 ((~v128(constB56)) | (~v139(constB56))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31424, 31423])).
% 17.28/12.42 tff(31426,plain,
% 17.28/12.42 ((~(v163(constB56) <=> (~((~v128(constB56)) | (~v139(constB56)))))) | (~v163(constB56)) | (~((~v128(constB56)) | (~v139(constB56))))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31427,plain,
% 17.28/12.42 (~v163(constB56)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31426, 31425, 31138])).
% 17.28/12.42 tff(31428,plain,
% 17.28/12.42 ((~(v163(constB56) | v164(constB56))) | v163(constB56) | v164(constB56)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31429,plain,
% 17.28/12.42 (~(v163(constB56) | v164(constB56))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31428, 31427, 31131])).
% 17.28/12.42 tff(31430,plain,
% 17.28/12.42 ((~(v160(constB56) <=> (v163(constB56) | v164(constB56)))) | (~v160(constB56)) | (v163(constB56) | v164(constB56))),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31431,plain,
% 17.28/12.42 (~v160(constB56)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31430, 31429, 31120])).
% 17.28/12.42 tff(31432,plain,
% 17.28/12.42 ((~(v162(constB57) <=> v160(constB56))) | (~v162(constB57)) | v160(constB56)),
% 17.28/12.42 inference(tautology,[status(thm)],[])).
% 17.28/12.42 tff(31433,plain,
% 17.28/12.42 (~v162(constB57)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31432, 31431, 31118])).
% 17.28/12.42 tff(31434,plain,
% 17.28/12.42 ($false),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31433, 31114])).
% 17.28/12.42 tff(31435,plain,(~(constB57 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.28/12.42 tff(31436,assumption,(constB149 = VarCurr!0), introduced(assumption)).
% 17.28/12.42 tff(31437,plain,
% 17.28/12.42 (v162(constB149) <=> v162(VarCurr!0)),
% 17.28/12.42 inference(monotonicity,[status(thm)],[31436])).
% 17.28/12.42 tff(31438,plain,
% 17.28/12.42 (v162(VarCurr!0) <=> v162(constB149)),
% 17.28/12.42 inference(symmetry,[status(thm)],[31437])).
% 17.28/12.42 tff(31439,plain,
% 17.28/12.42 (v162(constB149)),
% 17.28/12.42 inference(modus_ponens,[status(thm)],[59, 31438])).
% 17.28/12.42 tff(31440,plain,
% 17.28/12.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB148, constB149)) | (v162(constB149) <=> v160(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB148, constB149)) | (v162(constB149) <=> v160(constB148)))),
% 17.28/12.42 inference(rewrite,[status(thm)],[])).
% 17.28/12.42 tff(31441,plain,
% 17.28/12.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB148, constB149)) | (v162(constB149) <=> v160(constB148)))),
% 17.28/12.42 inference(quant_inst,[status(thm)],[])).
% 17.28/12.42 tff(31442,plain,
% 17.28/12.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB148, constB149)) | (v162(constB149) <=> v160(constB148))),
% 17.28/12.42 inference(modus_ponens,[status(thm)],[31441, 31440])).
% 17.28/12.42 tff(31443,plain,
% 17.28/12.42 (v162(constB149) <=> v160(constB148)),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31442, 15070, 70])).
% 17.28/12.42 tff(31444,plain,
% 17.28/12.42 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB148) <=> (v163(constB148) | v164(constB148)))),
% 17.28/12.42 inference(quant_inst,[status(thm)],[])).
% 17.28/12.42 tff(31445,plain,
% 17.28/12.42 (v160(constB148) <=> (v163(constB148) | v164(constB148))),
% 17.28/12.42 inference(unit_resolution,[status(thm)],[31444, 84])).
% 17.28/12.42 tff(31446,plain,
% 17.28/12.42 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v130(constB148)) | (~v155(constB148)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v130(constB148)) | (~v155(constB148))))))),
% 17.28/12.42 inference(rewrite,[status(thm)],[])).
% 17.28/12.42 tff(31447,plain,
% 17.28/12.42 ((v164(constB148) <=> (~((~v155(constB148)) | (~v130(constB148))))) <=> (v164(constB148) <=> (~((~v130(constB148)) | (~v155(constB148)))))),
% 17.28/12.42 inference(rewrite,[status(thm)],[])).
% 17.28/12.42 tff(31448,plain,
% 17.28/12.42 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v155(constB148)) | (~v130(constB148)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v130(constB148)) | (~v155(constB148))))))),
% 17.28/12.42 inference(monotonicity,[status(thm)],[31447])).
% 17.28/12.42 tff(31449,plain,
% 17.28/12.42 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v155(constB148)) | (~v130(constB148)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v130(constB148)) | (~v155(constB148))))))),
% 17.28/12.42 inference(transitivity,[status(thm)],[31448, 31446])).
% 17.28/12.42 tff(31450,plain,
% 17.28/12.42 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v155(constB148)) | (~v130(constB148)))))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31451,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v130(constB148)) | (~v155(constB148)))))),
% 17.28/12.43 inference(modus_ponens,[status(thm)],[31450, 31449])).
% 17.28/12.43 tff(31452,plain,
% 17.28/12.43 (v164(constB148) <=> (~((~v130(constB148)) | (~v155(constB148))))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31451, 96])).
% 17.28/12.43 tff(31453,plain,
% 17.28/12.43 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB148) <=> (~((~v141(constB148)) | (~v143(constB148)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB148) <=> (~((~v141(constB148)) | (~v143(constB148))))))),
% 17.28/12.43 inference(rewrite,[status(thm)],[])).
% 17.28/12.43 tff(31454,plain,
% 17.28/12.43 ((v155(constB148) <=> (~((~v143(constB148)) | (~v141(constB148))))) <=> (v155(constB148) <=> (~((~v141(constB148)) | (~v143(constB148)))))),
% 17.28/12.43 inference(rewrite,[status(thm)],[])).
% 17.28/12.43 tff(31455,plain,
% 17.28/12.43 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB148) <=> (~((~v143(constB148)) | (~v141(constB148)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB148) <=> (~((~v141(constB148)) | (~v143(constB148))))))),
% 17.28/12.43 inference(monotonicity,[status(thm)],[31454])).
% 17.28/12.43 tff(31456,plain,
% 17.28/12.43 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB148) <=> (~((~v143(constB148)) | (~v141(constB148)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB148) <=> (~((~v141(constB148)) | (~v143(constB148))))))),
% 17.28/12.43 inference(transitivity,[status(thm)],[31455, 31453])).
% 17.28/12.43 tff(31457,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB148) <=> (~((~v143(constB148)) | (~v141(constB148)))))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31458,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB148) <=> (~((~v141(constB148)) | (~v143(constB148)))))),
% 17.28/12.43 inference(modus_ponens,[status(thm)],[31457, 31456])).
% 17.28/12.43 tff(31459,plain,
% 17.28/12.43 (v155(constB148) <=> (~((~v141(constB148)) | (~v143(constB148))))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31458, 113])).
% 17.28/12.43 tff(31460,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB148) <=> (~((~v39(constB148)) | (~v9(constB148)))))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31461,plain,
% 17.28/12.43 (v141(constB148) <=> (~((~v39(constB148)) | (~v9(constB148))))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31460, 130])).
% 17.28/12.43 tff(31462,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB148)) <=> v1(constB148))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31463,plain,
% 17.28/12.43 ((~v39(constB148)) <=> v1(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31462, 139])).
% 17.28/12.43 tff(31464,plain,
% 17.28/12.43 ((~((~v39(constB148)) <=> v1(constB148))) | (~v39(constB148)) | (~v1(constB148))),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31465,plain,
% 17.28/12.43 ((~((~v39(constB148)) <=> v1(constB148))) | (~v39(constB148))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31464, 20279])).
% 17.28/12.43 tff(31466,plain,
% 17.28/12.43 (~v39(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31465, 31463])).
% 17.28/12.43 tff(31467,plain,
% 17.28/12.43 (((~v39(constB148)) | (~v9(constB148))) | v39(constB148)),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31468,plain,
% 17.28/12.43 ((~v39(constB148)) | (~v9(constB148))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31467, 31466])).
% 17.28/12.43 tff(31469,plain,
% 17.28/12.43 ((~(v141(constB148) <=> (~((~v39(constB148)) | (~v9(constB148)))))) | (~v141(constB148)) | (~((~v39(constB148)) | (~v9(constB148))))),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31470,plain,
% 17.28/12.43 ((~(v141(constB148) <=> (~((~v39(constB148)) | (~v9(constB148)))))) | (~v141(constB148))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31469, 31468])).
% 17.28/12.43 tff(31471,plain,
% 17.28/12.43 (~v141(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31470, 31461])).
% 17.28/12.43 tff(31472,plain,
% 17.28/12.43 (((~v141(constB148)) | (~v143(constB148))) | v141(constB148)),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31473,plain,
% 17.28/12.43 ((~v141(constB148)) | (~v143(constB148))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31472, 31471])).
% 17.28/12.43 tff(31474,plain,
% 17.28/12.43 ((~(v155(constB148) <=> (~((~v141(constB148)) | (~v143(constB148)))))) | (~v155(constB148)) | (~((~v141(constB148)) | (~v143(constB148))))),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31475,plain,
% 17.28/12.43 ((~(v155(constB148) <=> (~((~v141(constB148)) | (~v143(constB148)))))) | (~v155(constB148))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31474, 31473])).
% 17.28/12.43 tff(31476,plain,
% 17.28/12.43 (~v155(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31475, 31459])).
% 17.28/12.43 tff(31477,plain,
% 17.28/12.43 (((~v130(constB148)) | (~v155(constB148))) | v155(constB148)),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31478,plain,
% 17.28/12.43 ((~v130(constB148)) | (~v155(constB148))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31477, 31476])).
% 17.28/12.43 tff(31479,plain,
% 17.28/12.43 ((~(v164(constB148) <=> (~((~v130(constB148)) | (~v155(constB148)))))) | (~v164(constB148)) | (~((~v130(constB148)) | (~v155(constB148))))),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31480,plain,
% 17.28/12.43 (~v164(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31479, 31478, 31452])).
% 17.28/12.43 tff(31481,plain,
% 17.28/12.43 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148))))))),
% 17.28/12.43 inference(rewrite,[status(thm)],[])).
% 17.28/12.43 tff(31482,plain,
% 17.28/12.43 ((v163(constB148) <=> (~((~v139(constB148)) | (~v128(constB148))))) <=> (v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148)))))),
% 17.28/12.43 inference(rewrite,[status(thm)],[])).
% 17.28/12.43 tff(31483,plain,
% 17.28/12.43 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v139(constB148)) | (~v128(constB148)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148))))))),
% 17.28/12.43 inference(monotonicity,[status(thm)],[31482])).
% 17.28/12.43 tff(31484,plain,
% 17.28/12.43 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v139(constB148)) | (~v128(constB148)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148))))))),
% 17.28/12.43 inference(transitivity,[status(thm)],[31483, 31481])).
% 17.28/12.43 tff(31485,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v139(constB148)) | (~v128(constB148)))))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31486,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148)))))),
% 17.28/12.43 inference(modus_ponens,[status(thm)],[31485, 31484])).
% 17.28/12.43 tff(31487,plain,
% 17.28/12.43 (v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148))))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31486, 171])).
% 17.28/12.43 tff(31488,plain,
% 17.28/12.43 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB148) <=> v162(constB148))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31489,plain,
% 17.28/12.43 (v128(constB148) <=> v162(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31488, 13])).
% 17.28/12.43 tff(31490,plain,
% 17.28/12.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB147, constB148)) | (v162(constB148) <=> v160(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB147, constB148)) | (v162(constB148) <=> v160(constB147)))),
% 17.28/12.43 inference(rewrite,[status(thm)],[])).
% 17.28/12.43 tff(31491,plain,
% 17.28/12.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB147, constB148)) | (v162(constB148) <=> v160(constB147)))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31492,plain,
% 17.28/12.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB147, constB148)) | (v162(constB148) <=> v160(constB147))),
% 17.28/12.43 inference(modus_ponens,[status(thm)],[31491, 31490])).
% 17.28/12.43 tff(31493,plain,
% 17.28/12.43 (v162(constB148) <=> v160(constB147)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31492, 15106, 70])).
% 17.28/12.43 tff(31494,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB147) <=> (v163(constB147) | v164(constB147)))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31495,plain,
% 17.28/12.43 (v160(constB147) <=> (v163(constB147) | v164(constB147))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31494, 84])).
% 17.28/12.43 tff(31496,plain,
% 17.28/12.43 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147))))))),
% 17.28/12.43 inference(rewrite,[status(thm)],[])).
% 17.28/12.43 tff(31497,plain,
% 17.28/12.43 ((v163(constB147) <=> (~((~v139(constB147)) | (~v128(constB147))))) <=> (v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147)))))),
% 17.28/12.43 inference(rewrite,[status(thm)],[])).
% 17.28/12.43 tff(31498,plain,
% 17.28/12.43 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v139(constB147)) | (~v128(constB147)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147))))))),
% 17.28/12.43 inference(monotonicity,[status(thm)],[31497])).
% 17.28/12.43 tff(31499,plain,
% 17.28/12.43 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v139(constB147)) | (~v128(constB147)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147))))))),
% 17.28/12.43 inference(transitivity,[status(thm)],[31498, 31496])).
% 17.28/12.43 tff(31500,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v139(constB147)) | (~v128(constB147)))))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31501,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147)))))),
% 17.28/12.43 inference(modus_ponens,[status(thm)],[31500, 31499])).
% 17.28/12.43 tff(31502,plain,
% 17.28/12.43 (v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147))))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31501, 171])).
% 17.28/12.43 tff(31503,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB147)) <=> v140(constB147))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31504,plain,
% 17.28/12.43 ((~v139(constB147)) <=> v140(constB147)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31503, 203])).
% 17.28/12.43 tff(31505,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB147) <=> (v141(constB147) | v26(constB147)))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31506,plain,
% 17.28/12.43 (v140(constB147) <=> (v141(constB147) | v26(constB147))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31505, 212])).
% 17.28/12.43 tff(31507,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB147) <=> (~((~v39(constB147)) | (~v9(constB147)))))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31508,plain,
% 17.28/12.43 (v141(constB147) <=> (~((~v39(constB147)) | (~v9(constB147))))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31507, 130])).
% 17.28/12.43 tff(31509,plain,
% 17.28/12.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB147, constB148)) | (v13(constB148) <=> v9(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB147, constB148)) | (v13(constB148) <=> v9(constB147)))),
% 17.28/12.43 inference(rewrite,[status(thm)],[])).
% 17.28/12.43 tff(31510,plain,
% 17.28/12.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB147, constB148)) | (v13(constB148) <=> v9(constB147)))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31511,plain,
% 17.28/12.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB147, constB148)) | (v13(constB148) <=> v9(constB147))),
% 17.28/12.43 inference(modus_ponens,[status(thm)],[31510, 31509])).
% 17.28/12.43 tff(31512,plain,
% 17.28/12.43 (v13(constB148) <=> v9(constB147)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31511, 15106, 226])).
% 17.28/12.43 tff(31513,plain,
% 17.28/12.43 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB148) <=> v13(constB148))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31514,plain,
% 17.28/12.43 (v6(constB148) <=> v13(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31513, 240])).
% 17.28/12.43 tff(31515,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB148)) <=> v6(constB148))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31516,plain,
% 17.28/12.43 ((~v21(constB148)) <=> v6(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31515, 249])).
% 17.28/12.43 tff(31517,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB148) <=> (v20(constB148) | v21(constB148)))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31518,plain,
% 17.28/12.43 (v19(constB148) <=> (v20(constB148) | v21(constB148))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31517, 258])).
% 17.28/12.43 tff(31519,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB148) <=> (~((~v19(constB148)) | (~v22(constB148)))))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31520,plain,
% 17.28/12.43 (v18(constB148) <=> (~((~v19(constB148)) | (~v22(constB148))))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31519, 270])).
% 17.28/12.43 tff(31521,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB148)) <=> v18(constB148))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31522,plain,
% 17.28/12.43 ((~v4(constB148)) <=> v18(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31521, 279])).
% 17.28/12.43 tff(31523,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB148)),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31524,plain,
% 17.28/12.43 (v4(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31523, 288])).
% 17.28/12.43 tff(31525,plain,
% 17.28/12.43 ((~((~v4(constB148)) <=> v18(constB148))) | (~v4(constB148)) | (~v18(constB148))),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31526,plain,
% 17.28/12.43 (~v18(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31525, 31524, 31522])).
% 17.28/12.43 tff(31527,plain,
% 17.28/12.43 ((~(v18(constB148) <=> (~((~v19(constB148)) | (~v22(constB148)))))) | v18(constB148) | ((~v19(constB148)) | (~v22(constB148)))),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31528,plain,
% 17.28/12.43 ((~v19(constB148)) | (~v22(constB148))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31527, 31526, 31520])).
% 17.28/12.43 tff(31529,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB148) <=> (v1(constB148) | v6(constB148)))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31530,plain,
% 17.28/12.43 (v22(constB148) <=> (v1(constB148) | v6(constB148))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31529, 301])).
% 17.28/12.43 tff(31531,plain,
% 17.28/12.43 ((v1(constB148) | v6(constB148)) | (~v1(constB148))),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31532,plain,
% 17.28/12.43 (v1(constB148) | v6(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31531, 20279])).
% 17.28/12.43 tff(31533,plain,
% 17.28/12.43 ((~(v22(constB148) <=> (v1(constB148) | v6(constB148)))) | v22(constB148) | (~(v1(constB148) | v6(constB148)))),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31534,plain,
% 17.28/12.43 ((~(v22(constB148) <=> (v1(constB148) | v6(constB148)))) | v22(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31533, 31532])).
% 17.28/12.43 tff(31535,plain,
% 17.28/12.43 (v22(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31534, 31530])).
% 17.28/12.43 tff(31536,plain,
% 17.28/12.43 ((~((~v19(constB148)) | (~v22(constB148)))) | (~v19(constB148)) | (~v22(constB148))),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31537,plain,
% 17.28/12.43 ((~((~v19(constB148)) | (~v22(constB148)))) | (~v19(constB148))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31536, 31535])).
% 17.28/12.43 tff(31538,plain,
% 17.28/12.43 (~v19(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31537, 31528])).
% 17.28/12.43 tff(31539,plain,
% 17.28/12.43 ((~(v19(constB148) <=> (v20(constB148) | v21(constB148)))) | v19(constB148) | (~(v20(constB148) | v21(constB148)))),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31540,plain,
% 17.28/12.43 (~(v20(constB148) | v21(constB148))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31539, 31538, 31518])).
% 17.28/12.43 tff(31541,plain,
% 17.28/12.43 ((v20(constB148) | v21(constB148)) | (~v21(constB148))),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31542,plain,
% 17.28/12.43 (~v21(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31541, 31540])).
% 17.28/12.43 tff(31543,plain,
% 17.28/12.43 ((~((~v21(constB148)) <=> v6(constB148))) | v21(constB148) | v6(constB148)),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31544,plain,
% 17.28/12.43 (v6(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31543, 31542, 31516])).
% 17.28/12.43 tff(31545,plain,
% 17.28/12.43 ((~(v6(constB148) <=> v13(constB148))) | (~v6(constB148)) | v13(constB148)),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31546,plain,
% 17.28/12.43 (v13(constB148)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31545, 31544, 31514])).
% 17.28/12.43 tff(31547,plain,
% 17.28/12.43 ((~(v13(constB148) <=> v9(constB147))) | (~v13(constB148)) | v9(constB147)),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31548,plain,
% 17.28/12.43 (v9(constB147)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31547, 31546, 31512])).
% 17.28/12.43 tff(31549,plain,
% 17.28/12.43 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB147)) <=> v1(constB147))),
% 17.28/12.43 inference(quant_inst,[status(thm)],[])).
% 17.28/12.43 tff(31550,plain,
% 17.28/12.43 ((~v39(constB147)) <=> v1(constB147)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31549, 139])).
% 17.28/12.43 tff(31551,plain,
% 17.28/12.43 ((~((~v39(constB147)) <=> v1(constB147))) | v39(constB147) | v1(constB147)),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31552,plain,
% 17.28/12.43 ((~((~v39(constB147)) <=> v1(constB147))) | v39(constB147)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31551, 15145])).
% 17.28/12.43 tff(31553,plain,
% 17.28/12.43 (v39(constB147)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31552, 31550])).
% 17.28/12.43 tff(31554,plain,
% 17.28/12.43 ((~((~v39(constB147)) | (~v9(constB147)))) | (~v39(constB147)) | (~v9(constB147))),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31555,plain,
% 17.28/12.43 ((~((~v39(constB147)) | (~v9(constB147)))) | (~v9(constB147))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31554, 31553])).
% 17.28/12.43 tff(31556,plain,
% 17.28/12.43 (~((~v39(constB147)) | (~v9(constB147)))),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31555, 31548])).
% 17.28/12.43 tff(31557,plain,
% 17.28/12.43 ((~(v141(constB147) <=> (~((~v39(constB147)) | (~v9(constB147)))))) | v141(constB147) | ((~v39(constB147)) | (~v9(constB147)))),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31558,plain,
% 17.28/12.43 (v141(constB147)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31557, 31556, 31508])).
% 17.28/12.43 tff(31559,plain,
% 17.28/12.43 ((v141(constB147) | v26(constB147)) | (~v141(constB147))),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31560,plain,
% 17.28/12.43 (v141(constB147) | v26(constB147)),
% 17.28/12.43 inference(unit_resolution,[status(thm)],[31559, 31558])).
% 17.28/12.43 tff(31561,plain,
% 17.28/12.43 ((~(v140(constB147) <=> (v141(constB147) | v26(constB147)))) | v140(constB147) | (~(v141(constB147) | v26(constB147)))),
% 17.28/12.43 inference(tautology,[status(thm)],[])).
% 17.28/12.43 tff(31562,plain,
% 17.28/12.44 (v140(constB147)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31561, 31560, 31506])).
% 17.28/12.44 tff(31563,plain,
% 17.28/12.44 ((~((~v139(constB147)) <=> v140(constB147))) | (~v139(constB147)) | (~v140(constB147))),
% 17.28/12.44 inference(tautology,[status(thm)],[])).
% 17.28/12.44 tff(31564,plain,
% 17.28/12.44 (~v139(constB147)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31563, 31562, 31504])).
% 17.28/12.44 tff(31565,plain,
% 17.28/12.44 (((~v128(constB147)) | (~v139(constB147))) | v139(constB147)),
% 17.28/12.44 inference(tautology,[status(thm)],[])).
% 17.28/12.44 tff(31566,plain,
% 17.28/12.44 ((~v128(constB147)) | (~v139(constB147))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31565, 31564])).
% 17.28/12.44 tff(31567,plain,
% 17.28/12.44 ((~(v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147)))))) | (~v163(constB147)) | (~((~v128(constB147)) | (~v139(constB147))))),
% 17.28/12.44 inference(tautology,[status(thm)],[])).
% 17.28/12.44 tff(31568,plain,
% 17.28/12.44 (~v163(constB147)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31567, 31566, 31502])).
% 17.28/12.44 tff(31569,plain,
% 17.28/12.44 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v130(constB147)) | (~v155(constB147)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v130(constB147)) | (~v155(constB147))))))),
% 17.28/12.44 inference(rewrite,[status(thm)],[])).
% 17.28/12.44 tff(31570,plain,
% 17.28/12.44 ((v164(constB147) <=> (~((~v155(constB147)) | (~v130(constB147))))) <=> (v164(constB147) <=> (~((~v130(constB147)) | (~v155(constB147)))))),
% 17.28/12.44 inference(rewrite,[status(thm)],[])).
% 17.28/12.44 tff(31571,plain,
% 17.28/12.44 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v155(constB147)) | (~v130(constB147)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v130(constB147)) | (~v155(constB147))))))),
% 17.28/12.44 inference(monotonicity,[status(thm)],[31570])).
% 17.28/12.44 tff(31572,plain,
% 17.28/12.44 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v155(constB147)) | (~v130(constB147)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v130(constB147)) | (~v155(constB147))))))),
% 17.28/12.44 inference(transitivity,[status(thm)],[31571, 31569])).
% 17.28/12.44 tff(31573,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v155(constB147)) | (~v130(constB147)))))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31574,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v130(constB147)) | (~v155(constB147)))))),
% 17.28/12.44 inference(modus_ponens,[status(thm)],[31573, 31572])).
% 17.28/12.44 tff(31575,plain,
% 17.28/12.44 (v164(constB147) <=> (~((~v130(constB147)) | (~v155(constB147))))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31574, 96])).
% 17.28/12.44 tff(31576,plain,
% 17.28/12.44 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB147) <=> v152(constB147))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31577,plain,
% 17.28/12.44 (v130(constB147) <=> v152(constB147)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31576, 361])).
% 17.28/12.44 tff(31578,plain,
% 17.28/12.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB146, constB147)) | (v152(constB147) <=> v150(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB146, constB147)) | (v152(constB147) <=> v150(constB146)))),
% 17.28/12.44 inference(rewrite,[status(thm)],[])).
% 17.28/12.44 tff(31579,plain,
% 17.28/12.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB146, constB147)) | (v152(constB147) <=> v150(constB146)))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31580,plain,
% 17.28/12.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB146, constB147)) | (v152(constB147) <=> v150(constB146))),
% 17.28/12.44 inference(modus_ponens,[status(thm)],[31579, 31578])).
% 17.28/12.44 tff(31581,plain,
% 17.28/12.44 (v152(constB147) <=> v150(constB146)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31580, 15131, 373])).
% 17.28/12.44 tff(31582,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB146) <=> (v153(constB146) | v154(constB146)))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31583,plain,
% 17.28/12.44 (v150(constB146) <=> (v153(constB146) | v154(constB146))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31582, 387])).
% 17.28/12.44 tff(31584,plain,
% 17.28/12.44 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB146) <=> (~((~v132(constB146)) | (~v155(constB146)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB146) <=> (~((~v132(constB146)) | (~v155(constB146))))))),
% 17.28/12.44 inference(rewrite,[status(thm)],[])).
% 17.28/12.44 tff(31585,plain,
% 17.28/12.44 ((v154(constB146) <=> (~((~v155(constB146)) | (~v132(constB146))))) <=> (v154(constB146) <=> (~((~v132(constB146)) | (~v155(constB146)))))),
% 17.28/12.44 inference(rewrite,[status(thm)],[])).
% 17.28/12.44 tff(31586,plain,
% 17.28/12.44 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB146) <=> (~((~v155(constB146)) | (~v132(constB146)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB146) <=> (~((~v132(constB146)) | (~v155(constB146))))))),
% 17.28/12.44 inference(monotonicity,[status(thm)],[31585])).
% 17.28/12.44 tff(31587,plain,
% 17.28/12.44 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB146) <=> (~((~v155(constB146)) | (~v132(constB146)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB146) <=> (~((~v132(constB146)) | (~v155(constB146))))))),
% 17.28/12.44 inference(transitivity,[status(thm)],[31586, 31584])).
% 17.28/12.44 tff(31588,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB146) <=> (~((~v155(constB146)) | (~v132(constB146)))))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31589,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB146) <=> (~((~v132(constB146)) | (~v155(constB146)))))),
% 17.28/12.44 inference(modus_ponens,[status(thm)],[31588, 31587])).
% 17.28/12.44 tff(31590,plain,
% 17.28/12.44 (v154(constB146) <=> (~((~v132(constB146)) | (~v155(constB146))))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31589, 399])).
% 17.28/12.44 tff(31591,plain,
% 17.28/12.44 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB146) <=> (~((~v141(constB146)) | (~v143(constB146)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB146) <=> (~((~v141(constB146)) | (~v143(constB146))))))),
% 17.28/12.44 inference(rewrite,[status(thm)],[])).
% 17.28/12.44 tff(31592,plain,
% 17.28/12.44 ((v155(constB146) <=> (~((~v143(constB146)) | (~v141(constB146))))) <=> (v155(constB146) <=> (~((~v141(constB146)) | (~v143(constB146)))))),
% 17.28/12.44 inference(rewrite,[status(thm)],[])).
% 17.28/12.44 tff(31593,plain,
% 17.28/12.44 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB146) <=> (~((~v143(constB146)) | (~v141(constB146)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB146) <=> (~((~v141(constB146)) | (~v143(constB146))))))),
% 17.28/12.44 inference(monotonicity,[status(thm)],[31592])).
% 17.28/12.44 tff(31594,plain,
% 17.28/12.44 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB146) <=> (~((~v143(constB146)) | (~v141(constB146)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB146) <=> (~((~v141(constB146)) | (~v143(constB146))))))),
% 17.28/12.44 inference(transitivity,[status(thm)],[31593, 31591])).
% 17.28/12.44 tff(31595,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB146) <=> (~((~v143(constB146)) | (~v141(constB146)))))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31596,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB146) <=> (~((~v141(constB146)) | (~v143(constB146)))))),
% 17.28/12.44 inference(modus_ponens,[status(thm)],[31595, 31594])).
% 17.28/12.44 tff(31597,plain,
% 17.28/12.44 (v155(constB146) <=> (~((~v141(constB146)) | (~v143(constB146))))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31596, 113])).
% 17.28/12.44 tff(31598,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31599,plain,
% 17.28/12.44 (v141(constB146) <=> (~((~v39(constB146)) | (~v9(constB146))))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31598, 130])).
% 17.28/12.44 tff(31600,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB146)) <=> v1(constB146))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31601,plain,
% 17.28/12.44 ((~v39(constB146)) <=> v1(constB146)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31600, 139])).
% 17.28/12.44 tff(31602,plain,
% 17.28/12.44 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146)) | (~v1(constB146))),
% 17.28/12.44 inference(tautology,[status(thm)],[])).
% 17.28/12.44 tff(31603,plain,
% 17.28/12.44 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31602, 20121])).
% 17.28/12.44 tff(31604,plain,
% 17.28/12.44 (~v39(constB146)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31603, 31601])).
% 17.28/12.44 tff(31605,plain,
% 17.28/12.44 (((~v39(constB146)) | (~v9(constB146))) | v39(constB146)),
% 17.28/12.44 inference(tautology,[status(thm)],[])).
% 17.28/12.44 tff(31606,plain,
% 17.28/12.44 ((~v39(constB146)) | (~v9(constB146))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31605, 31604])).
% 17.28/12.44 tff(31607,plain,
% 17.28/12.44 ((~(v141(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v141(constB146)) | (~((~v39(constB146)) | (~v9(constB146))))),
% 17.28/12.44 inference(tautology,[status(thm)],[])).
% 17.28/12.44 tff(31608,plain,
% 17.28/12.44 ((~(v141(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v141(constB146))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31607, 31606])).
% 17.28/12.44 tff(31609,plain,
% 17.28/12.44 (~v141(constB146)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31608, 31599])).
% 17.28/12.44 tff(31610,plain,
% 17.28/12.44 (((~v141(constB146)) | (~v143(constB146))) | v141(constB146)),
% 17.28/12.44 inference(tautology,[status(thm)],[])).
% 17.28/12.44 tff(31611,plain,
% 17.28/12.44 ((~v141(constB146)) | (~v143(constB146))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31610, 31609])).
% 17.28/12.44 tff(31612,plain,
% 17.28/12.44 ((~(v155(constB146) <=> (~((~v141(constB146)) | (~v143(constB146)))))) | (~v155(constB146)) | (~((~v141(constB146)) | (~v143(constB146))))),
% 17.28/12.44 inference(tautology,[status(thm)],[])).
% 17.28/12.44 tff(31613,plain,
% 17.28/12.44 ((~(v155(constB146) <=> (~((~v141(constB146)) | (~v143(constB146)))))) | (~v155(constB146))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31612, 31611])).
% 17.28/12.44 tff(31614,plain,
% 17.28/12.44 (~v155(constB146)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31613, 31597])).
% 17.28/12.44 tff(31615,plain,
% 17.28/12.44 (((~v132(constB146)) | (~v155(constB146))) | v155(constB146)),
% 17.28/12.44 inference(tautology,[status(thm)],[])).
% 17.28/12.44 tff(31616,plain,
% 17.28/12.44 ((~v132(constB146)) | (~v155(constB146))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31615, 31614])).
% 17.28/12.44 tff(31617,plain,
% 17.28/12.44 ((~(v154(constB146) <=> (~((~v132(constB146)) | (~v155(constB146)))))) | (~v154(constB146)) | (~((~v132(constB146)) | (~v155(constB146))))),
% 17.28/12.44 inference(tautology,[status(thm)],[])).
% 17.28/12.44 tff(31618,plain,
% 17.28/12.44 (~v154(constB146)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31617, 31616, 31590])).
% 17.28/12.44 tff(31619,plain,
% 17.28/12.44 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB146) <=> (~((~v130(constB146)) | (~v139(constB146)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB146) <=> (~((~v130(constB146)) | (~v139(constB146))))))),
% 17.28/12.44 inference(rewrite,[status(thm)],[])).
% 17.28/12.44 tff(31620,plain,
% 17.28/12.44 ((v153(constB146) <=> (~((~v139(constB146)) | (~v130(constB146))))) <=> (v153(constB146) <=> (~((~v130(constB146)) | (~v139(constB146)))))),
% 17.28/12.44 inference(rewrite,[status(thm)],[])).
% 17.28/12.44 tff(31621,plain,
% 17.28/12.44 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB146) <=> (~((~v139(constB146)) | (~v130(constB146)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB146) <=> (~((~v130(constB146)) | (~v139(constB146))))))),
% 17.28/12.44 inference(monotonicity,[status(thm)],[31620])).
% 17.28/12.44 tff(31622,plain,
% 17.28/12.44 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB146) <=> (~((~v139(constB146)) | (~v130(constB146)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB146) <=> (~((~v130(constB146)) | (~v139(constB146))))))),
% 17.28/12.44 inference(transitivity,[status(thm)],[31621, 31619])).
% 17.28/12.44 tff(31623,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB146) <=> (~((~v139(constB146)) | (~v130(constB146)))))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31624,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB146) <=> (~((~v130(constB146)) | (~v139(constB146)))))),
% 17.28/12.44 inference(modus_ponens,[status(thm)],[31623, 31622])).
% 17.28/12.44 tff(31625,plain,
% 17.28/12.44 (v153(constB146) <=> (~((~v130(constB146)) | (~v139(constB146))))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31624, 447])).
% 17.28/12.44 tff(31626,plain,
% 17.28/12.44 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB146) <=> v152(constB146))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31627,plain,
% 17.28/12.44 (v130(constB146) <=> v152(constB146)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31626, 361])).
% 17.28/12.44 tff(31628,plain,
% 17.28/12.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB145, constB146)) | (v152(constB146) <=> v150(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB145, constB146)) | (v152(constB146) <=> v150(constB145)))),
% 17.28/12.44 inference(rewrite,[status(thm)],[])).
% 17.28/12.44 tff(31629,plain,
% 17.28/12.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB145, constB146)) | (v152(constB146) <=> v150(constB145)))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31630,plain,
% 17.28/12.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB145, constB146)) | (v152(constB146) <=> v150(constB145))),
% 17.28/12.44 inference(modus_ponens,[status(thm)],[31629, 31628])).
% 17.28/12.44 tff(31631,plain,
% 17.28/12.44 (v152(constB146) <=> v150(constB145)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31630, 15167, 373])).
% 17.28/12.44 tff(31632,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB145) <=> (v153(constB145) | v154(constB145)))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31633,plain,
% 17.28/12.44 (v150(constB145) <=> (v153(constB145) | v154(constB145))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31632, 387])).
% 17.28/12.44 tff(31634,plain,
% 17.28/12.44 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB145) <=> (~((~v130(constB145)) | (~v139(constB145)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB145) <=> (~((~v130(constB145)) | (~v139(constB145))))))),
% 17.28/12.44 inference(rewrite,[status(thm)],[])).
% 17.28/12.44 tff(31635,plain,
% 17.28/12.44 ((v153(constB145) <=> (~((~v139(constB145)) | (~v130(constB145))))) <=> (v153(constB145) <=> (~((~v130(constB145)) | (~v139(constB145)))))),
% 17.28/12.44 inference(rewrite,[status(thm)],[])).
% 17.28/12.44 tff(31636,plain,
% 17.28/12.44 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB145) <=> (~((~v139(constB145)) | (~v130(constB145)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB145) <=> (~((~v130(constB145)) | (~v139(constB145))))))),
% 17.28/12.44 inference(monotonicity,[status(thm)],[31635])).
% 17.28/12.44 tff(31637,plain,
% 17.28/12.44 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB145) <=> (~((~v139(constB145)) | (~v130(constB145)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB145) <=> (~((~v130(constB145)) | (~v139(constB145))))))),
% 17.28/12.44 inference(transitivity,[status(thm)],[31636, 31634])).
% 17.28/12.44 tff(31638,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB145) <=> (~((~v139(constB145)) | (~v130(constB145)))))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31639,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB145) <=> (~((~v130(constB145)) | (~v139(constB145)))))),
% 17.28/12.44 inference(modus_ponens,[status(thm)],[31638, 31637])).
% 17.28/12.44 tff(31640,plain,
% 17.28/12.44 (v153(constB145) <=> (~((~v130(constB145)) | (~v139(constB145))))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31639, 447])).
% 17.28/12.44 tff(31641,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB145)) <=> v140(constB145))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31642,plain,
% 17.28/12.44 ((~v139(constB145)) <=> v140(constB145)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31641, 203])).
% 17.28/12.44 tff(31643,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB145) <=> (v141(constB145) | v26(constB145)))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31644,plain,
% 17.28/12.44 (v140(constB145) <=> (v141(constB145) | v26(constB145))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31643, 212])).
% 17.28/12.44 tff(31645,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB145) <=> (~((~v39(constB145)) | (~v9(constB145)))))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31646,plain,
% 17.28/12.44 (v141(constB145) <=> (~((~v39(constB145)) | (~v9(constB145))))),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31645, 130])).
% 17.28/12.44 tff(31647,plain,
% 17.28/12.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145)))),
% 17.28/12.44 inference(rewrite,[status(thm)],[])).
% 17.28/12.44 tff(31648,plain,
% 17.28/12.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145)))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31649,plain,
% 17.28/12.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145))),
% 17.28/12.44 inference(modus_ponens,[status(thm)],[31648, 31647])).
% 17.28/12.44 tff(31650,plain,
% 17.28/12.44 (v13(constB146) <=> v9(constB145)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31649, 15167, 226])).
% 17.28/12.44 tff(31651,plain,
% 17.28/12.44 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB146) <=> v13(constB146))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31652,plain,
% 17.28/12.44 (v6(constB146) <=> v13(constB146)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31651, 240])).
% 17.28/12.44 tff(31653,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB146)) <=> v6(constB146))),
% 17.28/12.44 inference(quant_inst,[status(thm)],[])).
% 17.28/12.44 tff(31654,plain,
% 17.28/12.44 ((~v21(constB146)) <=> v6(constB146)),
% 17.28/12.44 inference(unit_resolution,[status(thm)],[31653, 249])).
% 17.28/12.44 tff(31655,plain,
% 17.28/12.44 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB146) <=> (v20(constB146) | v21(constB146)))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31656,plain,
% 17.28/12.45 (v19(constB146) <=> (v20(constB146) | v21(constB146))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31655, 258])).
% 17.28/12.45 tff(31657,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146)))))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31658,plain,
% 17.28/12.45 (v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146))))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31657, 270])).
% 17.28/12.45 tff(31659,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB146)) <=> v18(constB146))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31660,plain,
% 17.28/12.45 ((~v4(constB146)) <=> v18(constB146)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31659, 279])).
% 17.28/12.45 tff(31661,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB146)),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31662,plain,
% 17.28/12.45 (v4(constB146)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31661, 288])).
% 17.28/12.45 tff(31663,plain,
% 17.28/12.45 ((~((~v4(constB146)) <=> v18(constB146))) | (~v4(constB146)) | (~v18(constB146))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31664,plain,
% 17.28/12.45 (~v18(constB146)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31663, 31662, 31660])).
% 17.28/12.45 tff(31665,plain,
% 17.28/12.45 ((~(v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146)))))) | v18(constB146) | ((~v19(constB146)) | (~v22(constB146)))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31666,plain,
% 17.28/12.45 ((~v19(constB146)) | (~v22(constB146))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31665, 31664, 31658])).
% 17.28/12.45 tff(31667,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB146) <=> (v1(constB146) | v6(constB146)))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31668,plain,
% 17.28/12.45 (v22(constB146) <=> (v1(constB146) | v6(constB146))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31667, 301])).
% 17.28/12.45 tff(31669,plain,
% 17.28/12.45 ((v1(constB146) | v6(constB146)) | (~v1(constB146))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31670,plain,
% 17.28/12.45 (v1(constB146) | v6(constB146)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31669, 20121])).
% 17.28/12.45 tff(31671,plain,
% 17.28/12.45 ((~(v22(constB146) <=> (v1(constB146) | v6(constB146)))) | v22(constB146) | (~(v1(constB146) | v6(constB146)))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31672,plain,
% 17.28/12.45 ((~(v22(constB146) <=> (v1(constB146) | v6(constB146)))) | v22(constB146)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31671, 31670])).
% 17.28/12.45 tff(31673,plain,
% 17.28/12.45 (v22(constB146)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31672, 31668])).
% 17.28/12.45 tff(31674,plain,
% 17.28/12.45 ((~((~v19(constB146)) | (~v22(constB146)))) | (~v19(constB146)) | (~v22(constB146))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31675,plain,
% 17.28/12.45 ((~((~v19(constB146)) | (~v22(constB146)))) | (~v19(constB146))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31674, 31673])).
% 17.28/12.45 tff(31676,plain,
% 17.28/12.45 (~v19(constB146)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31675, 31666])).
% 17.28/12.45 tff(31677,plain,
% 17.28/12.45 ((~(v19(constB146) <=> (v20(constB146) | v21(constB146)))) | v19(constB146) | (~(v20(constB146) | v21(constB146)))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31678,plain,
% 17.28/12.45 (~(v20(constB146) | v21(constB146))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31677, 31676, 31656])).
% 17.28/12.45 tff(31679,plain,
% 17.28/12.45 ((v20(constB146) | v21(constB146)) | (~v21(constB146))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31680,plain,
% 17.28/12.45 (~v21(constB146)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31679, 31678])).
% 17.28/12.45 tff(31681,plain,
% 17.28/12.45 ((~((~v21(constB146)) <=> v6(constB146))) | v21(constB146) | v6(constB146)),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31682,plain,
% 17.28/12.45 (v6(constB146)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31681, 31680, 31654])).
% 17.28/12.45 tff(31683,plain,
% 17.28/12.45 ((~(v6(constB146) <=> v13(constB146))) | (~v6(constB146)) | v13(constB146)),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31684,plain,
% 17.28/12.45 (v13(constB146)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31683, 31682, 31652])).
% 17.28/12.45 tff(31685,plain,
% 17.28/12.45 ((~(v13(constB146) <=> v9(constB145))) | (~v13(constB146)) | v9(constB145)),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31686,plain,
% 17.28/12.45 (v9(constB145)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31685, 31684, 31650])).
% 17.28/12.45 tff(31687,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB145)) <=> v1(constB145))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31688,plain,
% 17.28/12.45 ((~v39(constB145)) <=> v1(constB145)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31687, 139])).
% 17.28/12.45 tff(31689,plain,
% 17.28/12.45 ((~((~v39(constB145)) <=> v1(constB145))) | v39(constB145) | v1(constB145)),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31690,plain,
% 17.28/12.45 ((~((~v39(constB145)) <=> v1(constB145))) | v39(constB145)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31689, 15206])).
% 17.28/12.45 tff(31691,plain,
% 17.28/12.45 (v39(constB145)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31690, 31688])).
% 17.28/12.45 tff(31692,plain,
% 17.28/12.45 ((~((~v39(constB145)) | (~v9(constB145)))) | (~v39(constB145)) | (~v9(constB145))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31693,plain,
% 17.28/12.45 ((~((~v39(constB145)) | (~v9(constB145)))) | (~v9(constB145))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31692, 31691])).
% 17.28/12.45 tff(31694,plain,
% 17.28/12.45 (~((~v39(constB145)) | (~v9(constB145)))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31693, 31686])).
% 17.28/12.45 tff(31695,plain,
% 17.28/12.45 ((~(v141(constB145) <=> (~((~v39(constB145)) | (~v9(constB145)))))) | v141(constB145) | ((~v39(constB145)) | (~v9(constB145)))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31696,plain,
% 17.28/12.45 (v141(constB145)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31695, 31694, 31646])).
% 17.28/12.45 tff(31697,plain,
% 17.28/12.45 ((v141(constB145) | v26(constB145)) | (~v141(constB145))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31698,plain,
% 17.28/12.45 (v141(constB145) | v26(constB145)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31697, 31696])).
% 17.28/12.45 tff(31699,plain,
% 17.28/12.45 ((~(v140(constB145) <=> (v141(constB145) | v26(constB145)))) | v140(constB145) | (~(v141(constB145) | v26(constB145)))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31700,plain,
% 17.28/12.45 (v140(constB145)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31699, 31698, 31644])).
% 17.28/12.45 tff(31701,plain,
% 17.28/12.45 ((~((~v139(constB145)) <=> v140(constB145))) | (~v139(constB145)) | (~v140(constB145))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31702,plain,
% 17.28/12.45 (~v139(constB145)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31701, 31700, 31642])).
% 17.28/12.45 tff(31703,plain,
% 17.28/12.45 (((~v130(constB145)) | (~v139(constB145))) | v139(constB145)),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31704,plain,
% 17.28/12.45 ((~v130(constB145)) | (~v139(constB145))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31703, 31702])).
% 17.28/12.45 tff(31705,plain,
% 17.28/12.45 ((~(v153(constB145) <=> (~((~v130(constB145)) | (~v139(constB145)))))) | (~v153(constB145)) | (~((~v130(constB145)) | (~v139(constB145))))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31706,plain,
% 17.28/12.45 (~v153(constB145)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31705, 31704, 31640])).
% 17.28/12.45 tff(31707,plain,
% 17.28/12.45 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB145) <=> (~((~v132(constB145)) | (~v155(constB145)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB145) <=> (~((~v132(constB145)) | (~v155(constB145))))))),
% 17.28/12.45 inference(rewrite,[status(thm)],[])).
% 17.28/12.45 tff(31708,plain,
% 17.28/12.45 ((v154(constB145) <=> (~((~v155(constB145)) | (~v132(constB145))))) <=> (v154(constB145) <=> (~((~v132(constB145)) | (~v155(constB145)))))),
% 17.28/12.45 inference(rewrite,[status(thm)],[])).
% 17.28/12.45 tff(31709,plain,
% 17.28/12.45 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB145) <=> (~((~v155(constB145)) | (~v132(constB145)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB145) <=> (~((~v132(constB145)) | (~v155(constB145))))))),
% 17.28/12.45 inference(monotonicity,[status(thm)],[31708])).
% 17.28/12.45 tff(31710,plain,
% 17.28/12.45 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB145) <=> (~((~v155(constB145)) | (~v132(constB145)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB145) <=> (~((~v132(constB145)) | (~v155(constB145))))))),
% 17.28/12.45 inference(transitivity,[status(thm)],[31709, 31707])).
% 17.28/12.45 tff(31711,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB145) <=> (~((~v155(constB145)) | (~v132(constB145)))))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31712,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB145) <=> (~((~v132(constB145)) | (~v155(constB145)))))),
% 17.28/12.45 inference(modus_ponens,[status(thm)],[31711, 31710])).
% 17.28/12.45 tff(31713,plain,
% 17.28/12.45 (v154(constB145) <=> (~((~v132(constB145)) | (~v155(constB145))))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31712, 399])).
% 17.28/12.45 tff(31714,plain,
% 17.28/12.45 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB145) <=> v137(constB145))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31715,plain,
% 17.28/12.45 (v132(constB145) <=> v137(constB145)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31714, 558])).
% 17.28/12.45 tff(31716,plain,
% 17.28/12.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB144, constB145)) | (v137(constB145) <=> v135(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB144, constB145)) | (v137(constB145) <=> v135(constB144)))),
% 17.28/12.45 inference(rewrite,[status(thm)],[])).
% 17.28/12.45 tff(31717,plain,
% 17.28/12.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB144, constB145)) | (v137(constB145) <=> v135(constB144)))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31718,plain,
% 17.28/12.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB144, constB145)) | (v137(constB145) <=> v135(constB144))),
% 17.28/12.45 inference(modus_ponens,[status(thm)],[31717, 31716])).
% 17.28/12.45 tff(31719,plain,
% 17.28/12.45 (v137(constB145) <=> v135(constB144)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31718, 15192, 570])).
% 17.28/12.45 tff(31720,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB144) <=> (v138(constB144) | v142(constB144)))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31721,plain,
% 17.28/12.45 (v135(constB144) <=> (v138(constB144) | v142(constB144))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31720, 584])).
% 17.28/12.45 tff(31722,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB144) <=> (~((~v143(constB144)) | (~v144(constB144)))))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31723,plain,
% 17.28/12.45 (v142(constB144) <=> (~((~v143(constB144)) | (~v144(constB144))))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31722, 596])).
% 17.28/12.45 tff(31724,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB144) <=> (~((~v141(constB144)) | (~v145(constB144)))))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31725,plain,
% 17.28/12.45 (v144(constB144) <=> (~((~v141(constB144)) | (~v145(constB144))))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31724, 608])).
% 17.28/12.45 tff(31726,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB144) <=> (~((~v39(constB144)) | (~v9(constB144)))))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31727,plain,
% 17.28/12.45 (v141(constB144) <=> (~((~v39(constB144)) | (~v9(constB144))))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31726, 130])).
% 17.28/12.45 tff(31728,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB144)) <=> v1(constB144))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31729,plain,
% 17.28/12.45 ((~v39(constB144)) <=> v1(constB144)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31728, 139])).
% 17.28/12.45 tff(31730,plain,
% 17.28/12.45 ((~((~v39(constB144)) <=> v1(constB144))) | (~v39(constB144)) | (~v1(constB144))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31731,plain,
% 17.28/12.45 ((~((~v39(constB144)) <=> v1(constB144))) | (~v39(constB144))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31730, 19948])).
% 17.28/12.45 tff(31732,plain,
% 17.28/12.45 (~v39(constB144)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31731, 31729])).
% 17.28/12.45 tff(31733,plain,
% 17.28/12.45 (((~v39(constB144)) | (~v9(constB144))) | v39(constB144)),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31734,plain,
% 17.28/12.45 ((~v39(constB144)) | (~v9(constB144))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31733, 31732])).
% 17.28/12.45 tff(31735,plain,
% 17.28/12.45 ((~(v141(constB144) <=> (~((~v39(constB144)) | (~v9(constB144)))))) | (~v141(constB144)) | (~((~v39(constB144)) | (~v9(constB144))))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31736,plain,
% 17.28/12.45 ((~(v141(constB144) <=> (~((~v39(constB144)) | (~v9(constB144)))))) | (~v141(constB144))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31735, 31734])).
% 17.28/12.45 tff(31737,plain,
% 17.28/12.45 (~v141(constB144)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31736, 31727])).
% 17.28/12.45 tff(31738,plain,
% 17.28/12.45 (((~v141(constB144)) | (~v145(constB144))) | v141(constB144)),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31739,plain,
% 17.28/12.45 ((~v141(constB144)) | (~v145(constB144))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31738, 31737])).
% 17.28/12.45 tff(31740,plain,
% 17.28/12.45 ((~(v144(constB144) <=> (~((~v141(constB144)) | (~v145(constB144)))))) | (~v144(constB144)) | (~((~v141(constB144)) | (~v145(constB144))))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31741,plain,
% 17.28/12.45 ((~(v144(constB144) <=> (~((~v141(constB144)) | (~v145(constB144)))))) | (~v144(constB144))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31740, 31739])).
% 17.28/12.45 tff(31742,plain,
% 17.28/12.45 (~v144(constB144)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31741, 31725])).
% 17.28/12.45 tff(31743,plain,
% 17.28/12.45 (((~v143(constB144)) | (~v144(constB144))) | v144(constB144)),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31744,plain,
% 17.28/12.45 ((~v143(constB144)) | (~v144(constB144))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31743, 31742])).
% 17.28/12.45 tff(31745,plain,
% 17.28/12.45 ((~(v142(constB144) <=> (~((~v143(constB144)) | (~v144(constB144)))))) | (~v142(constB144)) | (~((~v143(constB144)) | (~v144(constB144))))),
% 17.28/12.45 inference(tautology,[status(thm)],[])).
% 17.28/12.45 tff(31746,plain,
% 17.28/12.45 (~v142(constB144)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31745, 31744, 31723])).
% 17.28/12.45 tff(31747,plain,
% 17.28/12.45 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144))))))),
% 17.28/12.45 inference(rewrite,[status(thm)],[])).
% 17.28/12.45 tff(31748,plain,
% 17.28/12.45 ((v138(constB144) <=> (~((~v139(constB144)) | (~v132(constB144))))) <=> (v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144)))))),
% 17.28/12.45 inference(rewrite,[status(thm)],[])).
% 17.28/12.45 tff(31749,plain,
% 17.28/12.45 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v139(constB144)) | (~v132(constB144)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144))))))),
% 17.28/12.45 inference(monotonicity,[status(thm)],[31748])).
% 17.28/12.45 tff(31750,plain,
% 17.28/12.45 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v139(constB144)) | (~v132(constB144)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144))))))),
% 17.28/12.45 inference(transitivity,[status(thm)],[31749, 31747])).
% 17.28/12.45 tff(31751,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v139(constB144)) | (~v132(constB144)))))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31752,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144)))))),
% 17.28/12.45 inference(modus_ponens,[status(thm)],[31751, 31750])).
% 17.28/12.45 tff(31753,plain,
% 17.28/12.45 (v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144))))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31752, 644])).
% 17.28/12.45 tff(31754,plain,
% 17.28/12.45 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB144) <=> v137(constB144))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31755,plain,
% 17.28/12.45 (v132(constB144) <=> v137(constB144)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31754, 558])).
% 17.28/12.45 tff(31756,plain,
% 17.28/12.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB143, constB144)) | (v137(constB144) <=> v135(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB143, constB144)) | (v137(constB144) <=> v135(constB143)))),
% 17.28/12.45 inference(rewrite,[status(thm)],[])).
% 17.28/12.45 tff(31757,plain,
% 17.28/12.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB143, constB144)) | (v137(constB144) <=> v135(constB143)))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31758,plain,
% 17.28/12.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB143, constB144)) | (v137(constB144) <=> v135(constB143))),
% 17.28/12.45 inference(modus_ponens,[status(thm)],[31757, 31756])).
% 17.28/12.45 tff(31759,plain,
% 17.28/12.45 (v137(constB144) <=> v135(constB143)),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31758, 15228, 570])).
% 17.28/12.45 tff(31760,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB143) <=> (v138(constB143) | v142(constB143)))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31761,plain,
% 17.28/12.45 (v135(constB143) <=> (v138(constB143) | v142(constB143))),
% 17.28/12.45 inference(unit_resolution,[status(thm)],[31760, 584])).
% 17.28/12.45 tff(31762,plain,
% 17.28/12.45 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143))))))),
% 17.28/12.45 inference(rewrite,[status(thm)],[])).
% 17.28/12.45 tff(31763,plain,
% 17.28/12.45 ((v138(constB143) <=> (~((~v139(constB143)) | (~v132(constB143))))) <=> (v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143)))))),
% 17.28/12.45 inference(rewrite,[status(thm)],[])).
% 17.28/12.45 tff(31764,plain,
% 17.28/12.45 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v139(constB143)) | (~v132(constB143)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143))))))),
% 17.28/12.45 inference(monotonicity,[status(thm)],[31763])).
% 17.28/12.45 tff(31765,plain,
% 17.28/12.45 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v139(constB143)) | (~v132(constB143)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143))))))),
% 17.28/12.45 inference(transitivity,[status(thm)],[31764, 31762])).
% 17.28/12.45 tff(31766,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v139(constB143)) | (~v132(constB143)))))),
% 17.28/12.45 inference(quant_inst,[status(thm)],[])).
% 17.28/12.45 tff(31767,plain,
% 17.28/12.45 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143)))))),
% 17.28/12.45 inference(modus_ponens,[status(thm)],[31766, 31765])).
% 17.28/12.45 tff(31768,plain,
% 17.28/12.45 (v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143))))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31767, 644])).
% 17.28/12.46 tff(31769,plain,
% 17.28/12.46 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB143)) <=> v140(constB143))),
% 17.28/12.46 inference(quant_inst,[status(thm)],[])).
% 17.28/12.46 tff(31770,plain,
% 17.28/12.46 ((~v139(constB143)) <=> v140(constB143)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31769, 203])).
% 17.28/12.46 tff(31771,plain,
% 17.28/12.46 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB143) <=> (v141(constB143) | v26(constB143)))),
% 17.28/12.46 inference(quant_inst,[status(thm)],[])).
% 17.28/12.46 tff(31772,plain,
% 17.28/12.46 (v140(constB143) <=> (v141(constB143) | v26(constB143))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31771, 212])).
% 17.28/12.46 tff(31773,plain,
% 17.28/12.46 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB143) <=> (~((~v39(constB143)) | (~v9(constB143)))))),
% 17.28/12.46 inference(quant_inst,[status(thm)],[])).
% 17.28/12.46 tff(31774,plain,
% 17.28/12.46 (v141(constB143) <=> (~((~v39(constB143)) | (~v9(constB143))))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31773, 130])).
% 17.28/12.46 tff(31775,plain,
% 17.28/12.46 (((~![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)))),
% 17.28/12.46 inference(rewrite,[status(thm)],[])).
% 17.28/12.46 tff(31776,plain,
% 17.28/12.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB143, constB144)) | (v13(constB144) <=> v9(constB143)))),
% 17.28/12.46 inference(quant_inst,[status(thm)],[])).
% 17.28/12.46 tff(31777,plain,
% 17.28/12.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB143, constB144)) | (v13(constB144) <=> v9(constB143))),
% 17.28/12.46 inference(modus_ponens,[status(thm)],[31776, 31775])).
% 17.28/12.46 tff(31778,plain,
% 17.28/12.46 (v13(constB144) <=> v9(constB143)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31777, 15228, 226])).
% 17.28/12.46 tff(31779,plain,
% 17.28/12.46 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB144) <=> v13(constB144))),
% 17.28/12.46 inference(quant_inst,[status(thm)],[])).
% 17.28/12.46 tff(31780,plain,
% 17.28/12.46 (v6(constB144) <=> v13(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31779, 240])).
% 17.28/12.46 tff(31781,plain,
% 17.28/12.46 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB144)) <=> v6(constB144))),
% 17.28/12.46 inference(quant_inst,[status(thm)],[])).
% 17.28/12.46 tff(31782,plain,
% 17.28/12.46 ((~v21(constB144)) <=> v6(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31781, 249])).
% 17.28/12.46 tff(31783,plain,
% 17.28/12.46 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB144) <=> (v20(constB144) | v21(constB144)))),
% 17.28/12.46 inference(quant_inst,[status(thm)],[])).
% 17.28/12.46 tff(31784,plain,
% 17.28/12.46 (v19(constB144) <=> (v20(constB144) | v21(constB144))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31783, 258])).
% 17.28/12.46 tff(31785,plain,
% 17.28/12.46 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB144) <=> (~((~v19(constB144)) | (~v22(constB144)))))),
% 17.28/12.46 inference(quant_inst,[status(thm)],[])).
% 17.28/12.46 tff(31786,plain,
% 17.28/12.46 (v18(constB144) <=> (~((~v19(constB144)) | (~v22(constB144))))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31785, 270])).
% 17.28/12.46 tff(31787,plain,
% 17.28/12.46 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB144)) <=> v18(constB144))),
% 17.28/12.46 inference(quant_inst,[status(thm)],[])).
% 17.28/12.46 tff(31788,plain,
% 17.28/12.46 ((~v4(constB144)) <=> v18(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31787, 279])).
% 17.28/12.46 tff(31789,plain,
% 17.28/12.46 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB144)),
% 17.28/12.46 inference(quant_inst,[status(thm)],[])).
% 17.28/12.46 tff(31790,plain,
% 17.28/12.46 (v4(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31789, 288])).
% 17.28/12.46 tff(31791,plain,
% 17.28/12.46 ((~((~v4(constB144)) <=> v18(constB144))) | (~v4(constB144)) | (~v18(constB144))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31792,plain,
% 17.28/12.46 (~v18(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31791, 31790, 31788])).
% 17.28/12.46 tff(31793,plain,
% 17.28/12.46 ((~(v18(constB144) <=> (~((~v19(constB144)) | (~v22(constB144)))))) | v18(constB144) | ((~v19(constB144)) | (~v22(constB144)))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31794,plain,
% 17.28/12.46 ((~v19(constB144)) | (~v22(constB144))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31793, 31792, 31786])).
% 17.28/12.46 tff(31795,plain,
% 17.28/12.46 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB144) <=> (v1(constB144) | v6(constB144)))),
% 17.28/12.46 inference(quant_inst,[status(thm)],[])).
% 17.28/12.46 tff(31796,plain,
% 17.28/12.46 (v22(constB144) <=> (v1(constB144) | v6(constB144))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31795, 301])).
% 17.28/12.46 tff(31797,plain,
% 17.28/12.46 ((v1(constB144) | v6(constB144)) | (~v1(constB144))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31798,plain,
% 17.28/12.46 (v1(constB144) | v6(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31797, 19948])).
% 17.28/12.46 tff(31799,plain,
% 17.28/12.46 ((~(v22(constB144) <=> (v1(constB144) | v6(constB144)))) | v22(constB144) | (~(v1(constB144) | v6(constB144)))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31800,plain,
% 17.28/12.46 ((~(v22(constB144) <=> (v1(constB144) | v6(constB144)))) | v22(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31799, 31798])).
% 17.28/12.46 tff(31801,plain,
% 17.28/12.46 (v22(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31800, 31796])).
% 17.28/12.46 tff(31802,plain,
% 17.28/12.46 ((~((~v19(constB144)) | (~v22(constB144)))) | (~v19(constB144)) | (~v22(constB144))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31803,plain,
% 17.28/12.46 ((~((~v19(constB144)) | (~v22(constB144)))) | (~v19(constB144))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31802, 31801])).
% 17.28/12.46 tff(31804,plain,
% 17.28/12.46 (~v19(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31803, 31794])).
% 17.28/12.46 tff(31805,plain,
% 17.28/12.46 ((~(v19(constB144) <=> (v20(constB144) | v21(constB144)))) | v19(constB144) | (~(v20(constB144) | v21(constB144)))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31806,plain,
% 17.28/12.46 (~(v20(constB144) | v21(constB144))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31805, 31804, 31784])).
% 17.28/12.46 tff(31807,plain,
% 17.28/12.46 ((v20(constB144) | v21(constB144)) | (~v21(constB144))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31808,plain,
% 17.28/12.46 (~v21(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31807, 31806])).
% 17.28/12.46 tff(31809,plain,
% 17.28/12.46 ((~((~v21(constB144)) <=> v6(constB144))) | v21(constB144) | v6(constB144)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31810,plain,
% 17.28/12.46 (v6(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31809, 31808, 31782])).
% 17.28/12.46 tff(31811,plain,
% 17.28/12.46 ((~(v6(constB144) <=> v13(constB144))) | (~v6(constB144)) | v13(constB144)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31812,plain,
% 17.28/12.46 (v13(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31811, 31810, 31780])).
% 17.28/12.46 tff(31813,plain,
% 17.28/12.46 ((~(v13(constB144) <=> v9(constB143))) | (~v13(constB144)) | v9(constB143)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31814,plain,
% 17.28/12.46 (v9(constB143)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31813, 31812, 31778])).
% 17.28/12.46 tff(31815,plain,
% 17.28/12.46 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB143)) <=> v1(constB143))),
% 17.28/12.46 inference(quant_inst,[status(thm)],[])).
% 17.28/12.46 tff(31816,plain,
% 17.28/12.46 ((~v39(constB143)) <=> v1(constB143)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31815, 139])).
% 17.28/12.46 tff(31817,plain,
% 17.28/12.46 ((~((~v39(constB143)) <=> v1(constB143))) | v39(constB143) | v1(constB143)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31818,plain,
% 17.28/12.46 ((~((~v39(constB143)) <=> v1(constB143))) | v39(constB143)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31817, 15272])).
% 17.28/12.46 tff(31819,plain,
% 17.28/12.46 (v39(constB143)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31818, 31816])).
% 17.28/12.46 tff(31820,plain,
% 17.28/12.46 ((~((~v39(constB143)) | (~v9(constB143)))) | (~v39(constB143)) | (~v9(constB143))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31821,plain,
% 17.28/12.46 ((~((~v39(constB143)) | (~v9(constB143)))) | (~v9(constB143))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31820, 31819])).
% 17.28/12.46 tff(31822,plain,
% 17.28/12.46 (~((~v39(constB143)) | (~v9(constB143)))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31821, 31814])).
% 17.28/12.46 tff(31823,plain,
% 17.28/12.46 ((~(v141(constB143) <=> (~((~v39(constB143)) | (~v9(constB143)))))) | v141(constB143) | ((~v39(constB143)) | (~v9(constB143)))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31824,plain,
% 17.28/12.46 (v141(constB143)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31823, 31822, 31774])).
% 17.28/12.46 tff(31825,plain,
% 17.28/12.46 ((v141(constB143) | v26(constB143)) | (~v141(constB143))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31826,plain,
% 17.28/12.46 (v141(constB143) | v26(constB143)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31825, 31824])).
% 17.28/12.46 tff(31827,plain,
% 17.28/12.46 ((~(v140(constB143) <=> (v141(constB143) | v26(constB143)))) | v140(constB143) | (~(v141(constB143) | v26(constB143)))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31828,plain,
% 17.28/12.46 (v140(constB143)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31827, 31826, 31772])).
% 17.28/12.46 tff(31829,plain,
% 17.28/12.46 ((~((~v139(constB143)) <=> v140(constB143))) | (~v139(constB143)) | (~v140(constB143))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31830,plain,
% 17.28/12.46 (~v139(constB143)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31829, 31828, 31770])).
% 17.28/12.46 tff(31831,plain,
% 17.28/12.46 (((~v132(constB143)) | (~v139(constB143))) | v139(constB143)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31832,plain,
% 17.28/12.46 ((~v132(constB143)) | (~v139(constB143))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31831, 31830])).
% 17.28/12.46 tff(31833,plain,
% 17.28/12.46 ((~(v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143)))))) | (~v138(constB143)) | (~((~v132(constB143)) | (~v139(constB143))))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31834,plain,
% 17.28/12.46 (~v138(constB143)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31833, 31832, 31768])).
% 17.28/12.46 tff(31835,plain,
% 17.28/12.46 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB143) <=> (~((~v143(constB143)) | (~v144(constB143)))))),
% 17.28/12.46 inference(quant_inst,[status(thm)],[])).
% 17.28/12.46 tff(31836,plain,
% 17.28/12.46 (v142(constB143) <=> (~((~v143(constB143)) | (~v144(constB143))))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31835, 596])).
% 17.28/12.46 tff(31837,plain,
% 17.28/12.46 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB143) <=> (~((~v141(constB143)) | (~v145(constB143)))))),
% 17.28/12.46 inference(quant_inst,[status(thm)],[])).
% 17.28/12.46 tff(31838,plain,
% 17.28/12.46 (v144(constB143) <=> (~((~v141(constB143)) | (~v145(constB143))))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31837, 608])).
% 17.28/12.46 tff(31839,plain,
% 17.28/12.46 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB143) <=> (~(v84(constB143, 1) | v84(constB143, 2) | (~v84(constB143, 0)))))),
% 17.28/12.46 inference(quant_inst,[status(thm)],[])).
% 17.28/12.46 tff(31840,plain,
% 17.28/12.46 (v145(constB143) <=> (~(v84(constB143, 1) | v84(constB143, 2) | (~v84(constB143, 0))))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31839, 755])).
% 17.28/12.46 tff(31841,plain,
% 17.28/12.46 ((v84(constB143, 1) | v84(constB143, 2) | (~v84(constB143, 0))) | v84(constB143, 0)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31842,plain,
% 17.28/12.46 (v84(constB143, 1) | v84(constB143, 2) | (~v84(constB143, 0))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31841, 19888])).
% 17.28/12.46 tff(31843,plain,
% 17.28/12.46 ((~(v145(constB143) <=> (~(v84(constB143, 1) | v84(constB143, 2) | (~v84(constB143, 0)))))) | (~v145(constB143)) | (~(v84(constB143, 1) | v84(constB143, 2) | (~v84(constB143, 0))))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31844,plain,
% 17.28/12.46 (~v145(constB143)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31843, 31842, 31840])).
% 17.28/12.46 tff(31845,plain,
% 17.28/12.46 (((~v141(constB143)) | (~v145(constB143))) | v145(constB143)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31846,plain,
% 17.28/12.46 ((~v141(constB143)) | (~v145(constB143))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31845, 31844])).
% 17.28/12.46 tff(31847,plain,
% 17.28/12.46 ((~(v144(constB143) <=> (~((~v141(constB143)) | (~v145(constB143)))))) | (~v144(constB143)) | (~((~v141(constB143)) | (~v145(constB143))))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31848,plain,
% 17.28/12.46 (~v144(constB143)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31847, 31846, 31838])).
% 17.28/12.46 tff(31849,plain,
% 17.28/12.46 (((~v143(constB143)) | (~v144(constB143))) | v144(constB143)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31850,plain,
% 17.28/12.46 ((~v143(constB143)) | (~v144(constB143))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31849, 31848])).
% 17.28/12.46 tff(31851,plain,
% 17.28/12.46 ((~(v142(constB143) <=> (~((~v143(constB143)) | (~v144(constB143)))))) | (~v142(constB143)) | (~((~v143(constB143)) | (~v144(constB143))))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31852,plain,
% 17.28/12.46 (~v142(constB143)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31851, 31850, 31836])).
% 17.28/12.46 tff(31853,plain,
% 17.28/12.46 ((~(v138(constB143) | v142(constB143))) | v138(constB143) | v142(constB143)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31854,plain,
% 17.28/12.46 (~(v138(constB143) | v142(constB143))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31853, 31852, 31834])).
% 17.28/12.46 tff(31855,plain,
% 17.28/12.46 ((~(v135(constB143) <=> (v138(constB143) | v142(constB143)))) | (~v135(constB143)) | (v138(constB143) | v142(constB143))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31856,plain,
% 17.28/12.46 (~v135(constB143)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31855, 31854, 31761])).
% 17.28/12.46 tff(31857,plain,
% 17.28/12.46 ((~(v137(constB144) <=> v135(constB143))) | (~v137(constB144)) | v135(constB143)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31858,plain,
% 17.28/12.46 (~v137(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31857, 31856, 31759])).
% 17.28/12.46 tff(31859,plain,
% 17.28/12.46 ((~(v132(constB144) <=> v137(constB144))) | (~v132(constB144)) | v137(constB144)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31860,plain,
% 17.28/12.46 (~v132(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31859, 31858, 31755])).
% 17.28/12.46 tff(31861,plain,
% 17.28/12.46 (((~v132(constB144)) | (~v139(constB144))) | v132(constB144)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31862,plain,
% 17.28/12.46 ((~v132(constB144)) | (~v139(constB144))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31861, 31860])).
% 17.28/12.46 tff(31863,plain,
% 17.28/12.46 ((~(v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144)))))) | (~v138(constB144)) | (~((~v132(constB144)) | (~v139(constB144))))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31864,plain,
% 17.28/12.46 (~v138(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31863, 31862, 31753])).
% 17.28/12.46 tff(31865,plain,
% 17.28/12.46 ((~(v138(constB144) | v142(constB144))) | v138(constB144) | v142(constB144)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31866,plain,
% 17.28/12.46 (~(v138(constB144) | v142(constB144))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31865, 31864, 31746])).
% 17.28/12.46 tff(31867,plain,
% 17.28/12.46 ((~(v135(constB144) <=> (v138(constB144) | v142(constB144)))) | (~v135(constB144)) | (v138(constB144) | v142(constB144))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31868,plain,
% 17.28/12.46 (~v135(constB144)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31867, 31866, 31721])).
% 17.28/12.46 tff(31869,plain,
% 17.28/12.46 ((~(v137(constB145) <=> v135(constB144))) | (~v137(constB145)) | v135(constB144)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31870,plain,
% 17.28/12.46 (~v137(constB145)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31869, 31868, 31719])).
% 17.28/12.46 tff(31871,plain,
% 17.28/12.46 ((~(v132(constB145) <=> v137(constB145))) | (~v132(constB145)) | v137(constB145)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31872,plain,
% 17.28/12.46 (~v132(constB145)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31871, 31870, 31715])).
% 17.28/12.46 tff(31873,plain,
% 17.28/12.46 (((~v132(constB145)) | (~v155(constB145))) | v132(constB145)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31874,plain,
% 17.28/12.46 ((~v132(constB145)) | (~v155(constB145))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31873, 31872])).
% 17.28/12.46 tff(31875,plain,
% 17.28/12.46 ((~(v154(constB145) <=> (~((~v132(constB145)) | (~v155(constB145)))))) | (~v154(constB145)) | (~((~v132(constB145)) | (~v155(constB145))))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31876,plain,
% 17.28/12.46 (~v154(constB145)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31875, 31874, 31713])).
% 17.28/12.46 tff(31877,plain,
% 17.28/12.46 ((~(v153(constB145) | v154(constB145))) | v153(constB145) | v154(constB145)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31878,plain,
% 17.28/12.46 (~(v153(constB145) | v154(constB145))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31877, 31876, 31706])).
% 17.28/12.46 tff(31879,plain,
% 17.28/12.46 ((~(v150(constB145) <=> (v153(constB145) | v154(constB145)))) | (~v150(constB145)) | (v153(constB145) | v154(constB145))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31880,plain,
% 17.28/12.46 (~v150(constB145)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31879, 31878, 31633])).
% 17.28/12.46 tff(31881,plain,
% 17.28/12.46 ((~(v152(constB146) <=> v150(constB145))) | (~v152(constB146)) | v150(constB145)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31882,plain,
% 17.28/12.46 (~v152(constB146)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31881, 31880, 31631])).
% 17.28/12.46 tff(31883,plain,
% 17.28/12.46 ((~(v130(constB146) <=> v152(constB146))) | (~v130(constB146)) | v152(constB146)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31884,plain,
% 17.28/12.46 (~v130(constB146)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31883, 31882, 31627])).
% 17.28/12.46 tff(31885,plain,
% 17.28/12.46 (((~v130(constB146)) | (~v139(constB146))) | v130(constB146)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31886,plain,
% 17.28/12.46 ((~v130(constB146)) | (~v139(constB146))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31885, 31884])).
% 17.28/12.46 tff(31887,plain,
% 17.28/12.46 ((~(v153(constB146) <=> (~((~v130(constB146)) | (~v139(constB146)))))) | (~v153(constB146)) | (~((~v130(constB146)) | (~v139(constB146))))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31888,plain,
% 17.28/12.46 (~v153(constB146)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31887, 31886, 31625])).
% 17.28/12.46 tff(31889,plain,
% 17.28/12.46 ((~(v153(constB146) | v154(constB146))) | v153(constB146) | v154(constB146)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31890,plain,
% 17.28/12.46 (~(v153(constB146) | v154(constB146))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31889, 31888, 31618])).
% 17.28/12.46 tff(31891,plain,
% 17.28/12.46 ((~(v150(constB146) <=> (v153(constB146) | v154(constB146)))) | (~v150(constB146)) | (v153(constB146) | v154(constB146))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31892,plain,
% 17.28/12.46 (~v150(constB146)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31891, 31890, 31583])).
% 17.28/12.46 tff(31893,plain,
% 17.28/12.46 ((~(v152(constB147) <=> v150(constB146))) | (~v152(constB147)) | v150(constB146)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31894,plain,
% 17.28/12.46 (~v152(constB147)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31893, 31892, 31581])).
% 17.28/12.46 tff(31895,plain,
% 17.28/12.46 ((~(v130(constB147) <=> v152(constB147))) | (~v130(constB147)) | v152(constB147)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31896,plain,
% 17.28/12.46 (~v130(constB147)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31895, 31894, 31577])).
% 17.28/12.46 tff(31897,plain,
% 17.28/12.46 (((~v130(constB147)) | (~v155(constB147))) | v130(constB147)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31898,plain,
% 17.28/12.46 ((~v130(constB147)) | (~v155(constB147))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31897, 31896])).
% 17.28/12.46 tff(31899,plain,
% 17.28/12.46 ((~(v164(constB147) <=> (~((~v130(constB147)) | (~v155(constB147)))))) | (~v164(constB147)) | (~((~v130(constB147)) | (~v155(constB147))))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31900,plain,
% 17.28/12.46 (~v164(constB147)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31899, 31898, 31575])).
% 17.28/12.46 tff(31901,plain,
% 17.28/12.46 ((~(v163(constB147) | v164(constB147))) | v163(constB147) | v164(constB147)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31902,plain,
% 17.28/12.46 (~(v163(constB147) | v164(constB147))),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31901, 31900, 31568])).
% 17.28/12.46 tff(31903,plain,
% 17.28/12.46 ((~(v160(constB147) <=> (v163(constB147) | v164(constB147)))) | (~v160(constB147)) | (v163(constB147) | v164(constB147))),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31904,plain,
% 17.28/12.46 (~v160(constB147)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31903, 31902, 31495])).
% 17.28/12.46 tff(31905,plain,
% 17.28/12.46 ((~(v162(constB148) <=> v160(constB147))) | (~v162(constB148)) | v160(constB147)),
% 17.28/12.46 inference(tautology,[status(thm)],[])).
% 17.28/12.46 tff(31906,plain,
% 17.28/12.46 (~v162(constB148)),
% 17.28/12.46 inference(unit_resolution,[status(thm)],[31905, 31904, 31493])).
% 17.28/12.47 tff(31907,plain,
% 17.28/12.47 ((~(v128(constB148) <=> v162(constB148))) | (~v128(constB148)) | v162(constB148)),
% 17.28/12.47 inference(tautology,[status(thm)],[])).
% 17.28/12.47 tff(31908,plain,
% 17.28/12.47 (~v128(constB148)),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31907, 31906, 31489])).
% 17.28/12.47 tff(31909,plain,
% 17.28/12.47 (((~v128(constB148)) | (~v139(constB148))) | v128(constB148)),
% 17.28/12.47 inference(tautology,[status(thm)],[])).
% 17.28/12.47 tff(31910,plain,
% 17.28/12.47 ((~v128(constB148)) | (~v139(constB148))),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31909, 31908])).
% 17.28/12.47 tff(31911,plain,
% 17.28/12.47 ((~(v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148)))))) | (~v163(constB148)) | (~((~v128(constB148)) | (~v139(constB148))))),
% 17.28/12.47 inference(tautology,[status(thm)],[])).
% 17.28/12.47 tff(31912,plain,
% 17.28/12.47 (~v163(constB148)),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31911, 31910, 31487])).
% 17.28/12.47 tff(31913,plain,
% 17.28/12.47 ((~(v163(constB148) | v164(constB148))) | v163(constB148) | v164(constB148)),
% 17.28/12.47 inference(tautology,[status(thm)],[])).
% 17.28/12.47 tff(31914,plain,
% 17.28/12.47 (~(v163(constB148) | v164(constB148))),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31913, 31912, 31480])).
% 17.28/12.47 tff(31915,plain,
% 17.28/12.47 ((~(v160(constB148) <=> (v163(constB148) | v164(constB148)))) | (~v160(constB148)) | (v163(constB148) | v164(constB148))),
% 17.28/12.47 inference(tautology,[status(thm)],[])).
% 17.28/12.47 tff(31916,plain,
% 17.28/12.47 (~v160(constB148)),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31915, 31914, 31445])).
% 17.28/12.47 tff(31917,plain,
% 17.28/12.47 ((~(v162(constB149) <=> v160(constB148))) | (~v162(constB149)) | v160(constB148)),
% 17.28/12.47 inference(tautology,[status(thm)],[])).
% 17.28/12.47 tff(31918,plain,
% 17.28/12.47 (~v162(constB149)),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31917, 31916, 31443])).
% 17.28/12.47 tff(31919,plain,
% 17.28/12.47 ($false),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31918, 31439])).
% 17.28/12.47 tff(31920,plain,(~(constB149 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.28/12.47 tff(31921,assumption,(constB199 = VarCurr!0), introduced(assumption)).
% 17.28/12.47 tff(31922,plain,
% 17.28/12.47 (v162(constB199) <=> v162(VarCurr!0)),
% 17.28/12.47 inference(monotonicity,[status(thm)],[31921])).
% 17.28/12.47 tff(31923,plain,
% 17.28/12.47 (v162(VarCurr!0) <=> v162(constB199)),
% 17.28/12.47 inference(symmetry,[status(thm)],[31922])).
% 17.28/12.47 tff(31924,plain,
% 17.28/12.47 (v162(constB199)),
% 17.28/12.47 inference(modus_ponens,[status(thm)],[59, 31923])).
% 17.28/12.47 tff(31925,plain,
% 17.28/12.47 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 17.28/12.47 inference(rewrite,[status(thm)],[])).
% 17.28/12.47 tff(31926,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_198')).
% 17.28/12.47 tff(31927,plain,
% 17.28/12.47 (nextState(constB198, constB199)),
% 17.28/12.47 inference(modus_ponens,[status(thm)],[31926, 31925])).
% 17.28/12.47 tff(31928,plain,
% 17.28/12.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB198, constB199)) | (v162(constB199) <=> v160(constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB198, constB199)) | (v162(constB199) <=> v160(constB198)))),
% 17.28/12.47 inference(rewrite,[status(thm)],[])).
% 17.28/12.47 tff(31929,plain,
% 17.28/12.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB198, constB199)) | (v162(constB199) <=> v160(constB198)))),
% 17.28/12.47 inference(quant_inst,[status(thm)],[])).
% 17.28/12.47 tff(31930,plain,
% 17.28/12.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB198, constB199)) | (v162(constB199) <=> v160(constB198))),
% 17.28/12.47 inference(modus_ponens,[status(thm)],[31929, 31928])).
% 17.28/12.47 tff(31931,plain,
% 17.28/12.47 (v162(constB199) <=> v160(constB198)),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31930, 31927, 70])).
% 17.28/12.47 tff(31932,plain,
% 17.28/12.47 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB198) <=> (v163(constB198) | v164(constB198)))),
% 17.28/12.47 inference(quant_inst,[status(thm)],[])).
% 17.28/12.47 tff(31933,plain,
% 17.28/12.47 (v160(constB198) <=> (v163(constB198) | v164(constB198))),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31932, 84])).
% 17.28/12.47 tff(31934,plain,
% 17.28/12.47 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v130(constB198)) | (~v155(constB198)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v130(constB198)) | (~v155(constB198))))))),
% 17.28/12.47 inference(rewrite,[status(thm)],[])).
% 17.28/12.47 tff(31935,plain,
% 17.28/12.47 ((v164(constB198) <=> (~((~v155(constB198)) | (~v130(constB198))))) <=> (v164(constB198) <=> (~((~v130(constB198)) | (~v155(constB198)))))),
% 17.28/12.47 inference(rewrite,[status(thm)],[])).
% 17.28/12.47 tff(31936,plain,
% 17.28/12.47 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v155(constB198)) | (~v130(constB198)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v130(constB198)) | (~v155(constB198))))))),
% 17.28/12.47 inference(monotonicity,[status(thm)],[31935])).
% 17.28/12.47 tff(31937,plain,
% 17.28/12.47 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v155(constB198)) | (~v130(constB198)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v130(constB198)) | (~v155(constB198))))))),
% 17.28/12.47 inference(transitivity,[status(thm)],[31936, 31934])).
% 17.28/12.47 tff(31938,plain,
% 17.28/12.47 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v155(constB198)) | (~v130(constB198)))))),
% 17.28/12.47 inference(quant_inst,[status(thm)],[])).
% 17.28/12.47 tff(31939,plain,
% 17.28/12.47 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v130(constB198)) | (~v155(constB198)))))),
% 17.28/12.47 inference(modus_ponens,[status(thm)],[31938, 31937])).
% 17.28/12.47 tff(31940,plain,
% 17.28/12.47 (v164(constB198) <=> (~((~v130(constB198)) | (~v155(constB198))))),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31939, 96])).
% 17.28/12.47 tff(31941,plain,
% 17.28/12.47 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB198) <=> (~((~v141(constB198)) | (~v143(constB198)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB198) <=> (~((~v141(constB198)) | (~v143(constB198))))))),
% 17.28/12.47 inference(rewrite,[status(thm)],[])).
% 17.28/12.47 tff(31942,plain,
% 17.28/12.47 ((v155(constB198) <=> (~((~v143(constB198)) | (~v141(constB198))))) <=> (v155(constB198) <=> (~((~v141(constB198)) | (~v143(constB198)))))),
% 17.28/12.47 inference(rewrite,[status(thm)],[])).
% 17.28/12.47 tff(31943,plain,
% 17.28/12.47 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB198) <=> (~((~v143(constB198)) | (~v141(constB198)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB198) <=> (~((~v141(constB198)) | (~v143(constB198))))))),
% 17.28/12.47 inference(monotonicity,[status(thm)],[31942])).
% 17.28/12.47 tff(31944,plain,
% 17.28/12.47 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB198) <=> (~((~v143(constB198)) | (~v141(constB198)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB198) <=> (~((~v141(constB198)) | (~v143(constB198))))))),
% 17.28/12.47 inference(transitivity,[status(thm)],[31943, 31941])).
% 17.28/12.47 tff(31945,plain,
% 17.28/12.47 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB198) <=> (~((~v143(constB198)) | (~v141(constB198)))))),
% 17.28/12.47 inference(quant_inst,[status(thm)],[])).
% 17.28/12.47 tff(31946,plain,
% 17.28/12.47 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB198) <=> (~((~v141(constB198)) | (~v143(constB198)))))),
% 17.28/12.47 inference(modus_ponens,[status(thm)],[31945, 31944])).
% 17.28/12.47 tff(31947,plain,
% 17.28/12.47 (v155(constB198) <=> (~((~v141(constB198)) | (~v143(constB198))))),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31946, 113])).
% 17.28/12.47 tff(31948,plain,
% 17.28/12.47 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB198) <=> (~((~v39(constB198)) | (~v9(constB198)))))),
% 17.28/12.47 inference(quant_inst,[status(thm)],[])).
% 17.28/12.47 tff(31949,plain,
% 17.28/12.47 (v141(constB198) <=> (~((~v39(constB198)) | (~v9(constB198))))),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31948, 130])).
% 17.28/12.47 tff(31950,plain,
% 17.28/12.47 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB198)) <=> v1(constB198))),
% 17.28/12.47 inference(quant_inst,[status(thm)],[])).
% 17.28/12.47 tff(31951,plain,
% 17.28/12.47 ((~v39(constB198)) <=> v1(constB198)),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31950, 139])).
% 17.28/12.47 tff(31952,plain,
% 17.28/12.47 (v1(constB198) <=> v1(constB198)),
% 17.28/12.47 inference(rewrite,[status(thm)],[])).
% 17.28/12.47 tff(31953,axiom,(v1(constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_198')).
% 17.28/12.47 tff(31954,plain,
% 17.28/12.47 (v1(constB198)),
% 17.28/12.47 inference(modus_ponens,[status(thm)],[31953, 31952])).
% 17.28/12.47 tff(31955,plain,
% 17.28/12.47 ((~((~v39(constB198)) <=> v1(constB198))) | (~v39(constB198)) | (~v1(constB198))),
% 17.28/12.47 inference(tautology,[status(thm)],[])).
% 17.28/12.47 tff(31956,plain,
% 17.28/12.47 ((~((~v39(constB198)) <=> v1(constB198))) | (~v39(constB198))),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31955, 31954])).
% 17.28/12.47 tff(31957,plain,
% 17.28/12.47 (~v39(constB198)),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31956, 31951])).
% 17.28/12.47 tff(31958,plain,
% 17.28/12.47 (((~v39(constB198)) | (~v9(constB198))) | v39(constB198)),
% 17.28/12.47 inference(tautology,[status(thm)],[])).
% 17.28/12.47 tff(31959,plain,
% 17.28/12.47 ((~v39(constB198)) | (~v9(constB198))),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31958, 31957])).
% 17.28/12.47 tff(31960,plain,
% 17.28/12.47 ((~(v141(constB198) <=> (~((~v39(constB198)) | (~v9(constB198)))))) | (~v141(constB198)) | (~((~v39(constB198)) | (~v9(constB198))))),
% 17.28/12.47 inference(tautology,[status(thm)],[])).
% 17.28/12.47 tff(31961,plain,
% 17.28/12.47 ((~(v141(constB198) <=> (~((~v39(constB198)) | (~v9(constB198)))))) | (~v141(constB198))),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31960, 31959])).
% 17.28/12.47 tff(31962,plain,
% 17.28/12.47 (~v141(constB198)),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31961, 31949])).
% 17.28/12.47 tff(31963,plain,
% 17.28/12.47 (((~v141(constB198)) | (~v143(constB198))) | v141(constB198)),
% 17.28/12.47 inference(tautology,[status(thm)],[])).
% 17.28/12.47 tff(31964,plain,
% 17.28/12.47 ((~v141(constB198)) | (~v143(constB198))),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31963, 31962])).
% 17.28/12.47 tff(31965,plain,
% 17.28/12.47 ((~(v155(constB198) <=> (~((~v141(constB198)) | (~v143(constB198)))))) | (~v155(constB198)) | (~((~v141(constB198)) | (~v143(constB198))))),
% 17.28/12.47 inference(tautology,[status(thm)],[])).
% 17.28/12.47 tff(31966,plain,
% 17.28/12.47 ((~(v155(constB198) <=> (~((~v141(constB198)) | (~v143(constB198)))))) | (~v155(constB198))),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31965, 31964])).
% 17.28/12.47 tff(31967,plain,
% 17.28/12.47 (~v155(constB198)),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31966, 31947])).
% 17.28/12.47 tff(31968,plain,
% 17.28/12.47 (((~v130(constB198)) | (~v155(constB198))) | v155(constB198)),
% 17.28/12.47 inference(tautology,[status(thm)],[])).
% 17.28/12.47 tff(31969,plain,
% 17.28/12.47 ((~v130(constB198)) | (~v155(constB198))),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31968, 31967])).
% 17.28/12.47 tff(31970,plain,
% 17.28/12.47 ((~(v164(constB198) <=> (~((~v130(constB198)) | (~v155(constB198)))))) | (~v164(constB198)) | (~((~v130(constB198)) | (~v155(constB198))))),
% 17.28/12.47 inference(tautology,[status(thm)],[])).
% 17.28/12.47 tff(31971,plain,
% 17.28/12.47 (~v164(constB198)),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31970, 31969, 31940])).
% 17.28/12.47 tff(31972,plain,
% 17.28/12.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198))))))),
% 17.28/12.47 inference(rewrite,[status(thm)],[])).
% 17.28/12.47 tff(31973,plain,
% 17.28/12.47 ((v163(constB198) <=> (~((~v139(constB198)) | (~v128(constB198))))) <=> (v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198)))))),
% 17.28/12.47 inference(rewrite,[status(thm)],[])).
% 17.28/12.47 tff(31974,plain,
% 17.28/12.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v139(constB198)) | (~v128(constB198)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198))))))),
% 17.28/12.47 inference(monotonicity,[status(thm)],[31973])).
% 17.28/12.47 tff(31975,plain,
% 17.28/12.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v139(constB198)) | (~v128(constB198)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198))))))),
% 17.28/12.47 inference(transitivity,[status(thm)],[31974, 31972])).
% 17.28/12.47 tff(31976,plain,
% 17.28/12.47 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v139(constB198)) | (~v128(constB198)))))),
% 17.28/12.47 inference(quant_inst,[status(thm)],[])).
% 17.28/12.47 tff(31977,plain,
% 17.28/12.47 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198)))))),
% 17.28/12.47 inference(modus_ponens,[status(thm)],[31976, 31975])).
% 17.28/12.47 tff(31978,plain,
% 17.28/12.47 (v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198))))),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31977, 171])).
% 17.28/12.47 tff(31979,plain,
% 17.28/12.47 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB198) <=> v162(constB198))),
% 17.28/12.47 inference(quant_inst,[status(thm)],[])).
% 17.28/12.47 tff(31980,plain,
% 17.28/12.47 (v128(constB198) <=> v162(constB198)),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31979, 13])).
% 17.28/12.47 tff(31981,plain,
% 17.28/12.47 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 17.28/12.47 inference(rewrite,[status(thm)],[])).
% 17.28/12.47 tff(31982,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_197')).
% 17.28/12.47 tff(31983,plain,
% 17.28/12.47 (nextState(constB197, constB198)),
% 17.28/12.47 inference(modus_ponens,[status(thm)],[31982, 31981])).
% 17.28/12.47 tff(31984,plain,
% 17.28/12.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB197, constB198)) | (v162(constB198) <=> v160(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB197, constB198)) | (v162(constB198) <=> v160(constB197)))),
% 17.28/12.47 inference(rewrite,[status(thm)],[])).
% 17.28/12.47 tff(31985,plain,
% 17.28/12.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB197, constB198)) | (v162(constB198) <=> v160(constB197)))),
% 17.28/12.47 inference(quant_inst,[status(thm)],[])).
% 17.28/12.47 tff(31986,plain,
% 17.28/12.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB197, constB198)) | (v162(constB198) <=> v160(constB197))),
% 17.28/12.47 inference(modus_ponens,[status(thm)],[31985, 31984])).
% 17.28/12.47 tff(31987,plain,
% 17.28/12.47 (v162(constB198) <=> v160(constB197)),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31986, 31983, 70])).
% 17.28/12.47 tff(31988,plain,
% 17.28/12.47 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB197) <=> (v163(constB197) | v164(constB197)))),
% 17.28/12.47 inference(quant_inst,[status(thm)],[])).
% 17.28/12.47 tff(31989,plain,
% 17.28/12.47 (v160(constB197) <=> (v163(constB197) | v164(constB197))),
% 17.28/12.47 inference(unit_resolution,[status(thm)],[31988, 84])).
% 17.28/12.47 tff(31990,plain,
% 17.28/12.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197))))))),
% 17.28/12.47 inference(rewrite,[status(thm)],[])).
% 17.28/12.47 tff(31991,plain,
% 17.28/12.47 ((v163(constB197) <=> (~((~v139(constB197)) | (~v128(constB197))))) <=> (v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197)))))),
% 17.28/12.47 inference(rewrite,[status(thm)],[])).
% 17.28/12.47 tff(31992,plain,
% 17.28/12.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v139(constB197)) | (~v128(constB197)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197))))))),
% 17.34/12.47 inference(monotonicity,[status(thm)],[31991])).
% 17.34/12.47 tff(31993,plain,
% 17.34/12.47 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v139(constB197)) | (~v128(constB197)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197))))))),
% 17.34/12.47 inference(transitivity,[status(thm)],[31992, 31990])).
% 17.34/12.47 tff(31994,plain,
% 17.34/12.47 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v139(constB197)) | (~v128(constB197)))))),
% 17.34/12.47 inference(quant_inst,[status(thm)],[])).
% 17.34/12.47 tff(31995,plain,
% 17.34/12.47 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197)))))),
% 17.34/12.47 inference(modus_ponens,[status(thm)],[31994, 31993])).
% 17.34/12.47 tff(31996,plain,
% 17.34/12.47 (v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197))))),
% 17.34/12.47 inference(unit_resolution,[status(thm)],[31995, 171])).
% 17.34/12.47 tff(31997,plain,
% 17.34/12.47 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB197)) <=> v140(constB197))),
% 17.34/12.47 inference(quant_inst,[status(thm)],[])).
% 17.34/12.47 tff(31998,plain,
% 17.34/12.47 ((~v139(constB197)) <=> v140(constB197)),
% 17.34/12.47 inference(unit_resolution,[status(thm)],[31997, 203])).
% 17.34/12.47 tff(31999,plain,
% 17.34/12.47 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB197) <=> (v141(constB197) | v26(constB197)))),
% 17.34/12.47 inference(quant_inst,[status(thm)],[])).
% 17.34/12.47 tff(32000,plain,
% 17.34/12.47 (v140(constB197) <=> (v141(constB197) | v26(constB197))),
% 17.34/12.47 inference(unit_resolution,[status(thm)],[31999, 212])).
% 17.34/12.47 tff(32001,plain,
% 17.34/12.47 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB197) <=> (~((~v39(constB197)) | (~v9(constB197)))))),
% 17.34/12.47 inference(quant_inst,[status(thm)],[])).
% 17.34/12.47 tff(32002,plain,
% 17.34/12.47 (v141(constB197) <=> (~((~v39(constB197)) | (~v9(constB197))))),
% 17.34/12.47 inference(unit_resolution,[status(thm)],[32001, 130])).
% 17.34/12.47 tff(32003,plain,
% 17.34/12.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB197, constB198)) | (v13(constB198) <=> v9(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB197, constB198)) | (v13(constB198) <=> v9(constB197)))),
% 17.34/12.47 inference(rewrite,[status(thm)],[])).
% 17.34/12.47 tff(32004,plain,
% 17.34/12.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB197, constB198)) | (v13(constB198) <=> v9(constB197)))),
% 17.34/12.47 inference(quant_inst,[status(thm)],[])).
% 17.34/12.47 tff(32005,plain,
% 17.34/12.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB197, constB198)) | (v13(constB198) <=> v9(constB197))),
% 17.34/12.47 inference(modus_ponens,[status(thm)],[32004, 32003])).
% 17.34/12.47 tff(32006,plain,
% 17.34/12.47 (v13(constB198) <=> v9(constB197)),
% 17.34/12.47 inference(unit_resolution,[status(thm)],[32005, 31983, 226])).
% 17.34/12.47 tff(32007,plain,
% 17.34/12.47 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB198) <=> v13(constB198))),
% 17.34/12.47 inference(quant_inst,[status(thm)],[])).
% 17.34/12.47 tff(32008,plain,
% 17.34/12.47 (v6(constB198) <=> v13(constB198)),
% 17.34/12.47 inference(unit_resolution,[status(thm)],[32007, 240])).
% 17.34/12.47 tff(32009,plain,
% 17.34/12.47 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB198)) <=> v6(constB198))),
% 17.34/12.47 inference(quant_inst,[status(thm)],[])).
% 17.34/12.47 tff(32010,plain,
% 17.34/12.47 ((~v21(constB198)) <=> v6(constB198)),
% 17.34/12.47 inference(unit_resolution,[status(thm)],[32009, 249])).
% 17.34/12.47 tff(32011,plain,
% 17.34/12.47 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB198) <=> (v20(constB198) | v21(constB198)))),
% 17.34/12.48 inference(quant_inst,[status(thm)],[])).
% 17.34/12.48 tff(32012,plain,
% 17.34/12.48 (v19(constB198) <=> (v20(constB198) | v21(constB198))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32011, 258])).
% 17.34/12.48 tff(32013,plain,
% 17.34/12.48 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB198) <=> (~((~v19(constB198)) | (~v22(constB198)))))),
% 17.34/12.48 inference(quant_inst,[status(thm)],[])).
% 17.34/12.48 tff(32014,plain,
% 17.34/12.48 (v18(constB198) <=> (~((~v19(constB198)) | (~v22(constB198))))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32013, 270])).
% 17.34/12.48 tff(32015,plain,
% 17.34/12.48 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB198)) <=> v18(constB198))),
% 17.34/12.48 inference(quant_inst,[status(thm)],[])).
% 17.34/12.48 tff(32016,plain,
% 17.34/12.48 ((~v4(constB198)) <=> v18(constB198)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32015, 279])).
% 17.34/12.48 tff(32017,plain,
% 17.34/12.48 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB198)),
% 17.34/12.48 inference(quant_inst,[status(thm)],[])).
% 17.34/12.48 tff(32018,plain,
% 17.34/12.48 (v4(constB198)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32017, 288])).
% 17.34/12.48 tff(32019,plain,
% 17.34/12.48 ((~((~v4(constB198)) <=> v18(constB198))) | (~v4(constB198)) | (~v18(constB198))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32020,plain,
% 17.34/12.48 (~v18(constB198)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32019, 32018, 32016])).
% 17.34/12.48 tff(32021,plain,
% 17.34/12.48 ((~(v18(constB198) <=> (~((~v19(constB198)) | (~v22(constB198)))))) | v18(constB198) | ((~v19(constB198)) | (~v22(constB198)))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32022,plain,
% 17.34/12.48 ((~v19(constB198)) | (~v22(constB198))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32021, 32020, 32014])).
% 17.34/12.48 tff(32023,plain,
% 17.34/12.48 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB198) <=> (v1(constB198) | v6(constB198)))),
% 17.34/12.48 inference(quant_inst,[status(thm)],[])).
% 17.34/12.48 tff(32024,plain,
% 17.34/12.48 (v22(constB198) <=> (v1(constB198) | v6(constB198))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32023, 301])).
% 17.34/12.48 tff(32025,plain,
% 17.34/12.48 ((v1(constB198) | v6(constB198)) | (~v1(constB198))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32026,plain,
% 17.34/12.48 (v1(constB198) | v6(constB198)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32025, 31954])).
% 17.34/12.48 tff(32027,plain,
% 17.34/12.48 ((~(v22(constB198) <=> (v1(constB198) | v6(constB198)))) | v22(constB198) | (~(v1(constB198) | v6(constB198)))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32028,plain,
% 17.34/12.48 ((~(v22(constB198) <=> (v1(constB198) | v6(constB198)))) | v22(constB198)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32027, 32026])).
% 17.34/12.48 tff(32029,plain,
% 17.34/12.48 (v22(constB198)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32028, 32024])).
% 17.34/12.48 tff(32030,plain,
% 17.34/12.48 ((~((~v19(constB198)) | (~v22(constB198)))) | (~v19(constB198)) | (~v22(constB198))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32031,plain,
% 17.34/12.48 ((~((~v19(constB198)) | (~v22(constB198)))) | (~v19(constB198))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32030, 32029])).
% 17.34/12.48 tff(32032,plain,
% 17.34/12.48 (~v19(constB198)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32031, 32022])).
% 17.34/12.48 tff(32033,plain,
% 17.34/12.48 ((~(v19(constB198) <=> (v20(constB198) | v21(constB198)))) | v19(constB198) | (~(v20(constB198) | v21(constB198)))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32034,plain,
% 17.34/12.48 (~(v20(constB198) | v21(constB198))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32033, 32032, 32012])).
% 17.34/12.48 tff(32035,plain,
% 17.34/12.48 ((v20(constB198) | v21(constB198)) | (~v21(constB198))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32036,plain,
% 17.34/12.48 (~v21(constB198)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32035, 32034])).
% 17.34/12.48 tff(32037,plain,
% 17.34/12.48 ((~((~v21(constB198)) <=> v6(constB198))) | v21(constB198) | v6(constB198)),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32038,plain,
% 17.34/12.48 (v6(constB198)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32037, 32036, 32010])).
% 17.34/12.48 tff(32039,plain,
% 17.34/12.48 ((~(v6(constB198) <=> v13(constB198))) | (~v6(constB198)) | v13(constB198)),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32040,plain,
% 17.34/12.48 (v13(constB198)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32039, 32038, 32008])).
% 17.34/12.48 tff(32041,plain,
% 17.34/12.48 ((~(v13(constB198) <=> v9(constB197))) | (~v13(constB198)) | v9(constB197)),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32042,plain,
% 17.34/12.48 (v9(constB197)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32041, 32040, 32006])).
% 17.34/12.48 tff(32043,plain,
% 17.34/12.48 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB197)) <=> v1(constB197))),
% 17.34/12.48 inference(quant_inst,[status(thm)],[])).
% 17.34/12.48 tff(32044,plain,
% 17.34/12.48 ((~v39(constB197)) <=> v1(constB197)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32043, 139])).
% 17.34/12.48 tff(32045,plain,
% 17.34/12.48 ((~v1(constB197)) <=> (~v1(constB197))),
% 17.34/12.48 inference(rewrite,[status(thm)],[])).
% 17.34/12.48 tff(32046,axiom,(~v1(constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_197')).
% 17.34/12.48 tff(32047,plain,
% 17.34/12.48 (~v1(constB197)),
% 17.34/12.48 inference(modus_ponens,[status(thm)],[32046, 32045])).
% 17.34/12.48 tff(32048,plain,
% 17.34/12.48 ((~((~v39(constB197)) <=> v1(constB197))) | v39(constB197) | v1(constB197)),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32049,plain,
% 17.34/12.48 ((~((~v39(constB197)) <=> v1(constB197))) | v39(constB197)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32048, 32047])).
% 17.34/12.48 tff(32050,plain,
% 17.34/12.48 (v39(constB197)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32049, 32044])).
% 17.34/12.48 tff(32051,plain,
% 17.34/12.48 ((~((~v39(constB197)) | (~v9(constB197)))) | (~v39(constB197)) | (~v9(constB197))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32052,plain,
% 17.34/12.48 ((~((~v39(constB197)) | (~v9(constB197)))) | (~v9(constB197))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32051, 32050])).
% 17.34/12.48 tff(32053,plain,
% 17.34/12.48 (~((~v39(constB197)) | (~v9(constB197)))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32052, 32042])).
% 17.34/12.48 tff(32054,plain,
% 17.34/12.48 ((~(v141(constB197) <=> (~((~v39(constB197)) | (~v9(constB197)))))) | v141(constB197) | ((~v39(constB197)) | (~v9(constB197)))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32055,plain,
% 17.34/12.48 (v141(constB197)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32054, 32053, 32002])).
% 17.34/12.48 tff(32056,plain,
% 17.34/12.48 ((v141(constB197) | v26(constB197)) | (~v141(constB197))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32057,plain,
% 17.34/12.48 (v141(constB197) | v26(constB197)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32056, 32055])).
% 17.34/12.48 tff(32058,plain,
% 17.34/12.48 ((~(v140(constB197) <=> (v141(constB197) | v26(constB197)))) | v140(constB197) | (~(v141(constB197) | v26(constB197)))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32059,plain,
% 17.34/12.48 (v140(constB197)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32058, 32057, 32000])).
% 17.34/12.48 tff(32060,plain,
% 17.34/12.48 ((~((~v139(constB197)) <=> v140(constB197))) | (~v139(constB197)) | (~v140(constB197))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32061,plain,
% 17.34/12.48 (~v139(constB197)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32060, 32059, 31998])).
% 17.34/12.48 tff(32062,plain,
% 17.34/12.48 (((~v128(constB197)) | (~v139(constB197))) | v139(constB197)),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32063,plain,
% 17.34/12.48 ((~v128(constB197)) | (~v139(constB197))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32062, 32061])).
% 17.34/12.48 tff(32064,plain,
% 17.34/12.48 ((~(v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197)))))) | (~v163(constB197)) | (~((~v128(constB197)) | (~v139(constB197))))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32065,plain,
% 17.34/12.48 (~v163(constB197)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32064, 32063, 31996])).
% 17.34/12.48 tff(32066,plain,
% 17.34/12.48 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v130(constB197)) | (~v155(constB197)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v130(constB197)) | (~v155(constB197))))))),
% 17.34/12.48 inference(rewrite,[status(thm)],[])).
% 17.34/12.48 tff(32067,plain,
% 17.34/12.48 ((v164(constB197) <=> (~((~v155(constB197)) | (~v130(constB197))))) <=> (v164(constB197) <=> (~((~v130(constB197)) | (~v155(constB197)))))),
% 17.34/12.48 inference(rewrite,[status(thm)],[])).
% 17.34/12.48 tff(32068,plain,
% 17.34/12.48 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v155(constB197)) | (~v130(constB197)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v130(constB197)) | (~v155(constB197))))))),
% 17.34/12.48 inference(monotonicity,[status(thm)],[32067])).
% 17.34/12.48 tff(32069,plain,
% 17.34/12.48 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v155(constB197)) | (~v130(constB197)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v130(constB197)) | (~v155(constB197))))))),
% 17.34/12.48 inference(transitivity,[status(thm)],[32068, 32066])).
% 17.34/12.48 tff(32070,plain,
% 17.34/12.48 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v155(constB197)) | (~v130(constB197)))))),
% 17.34/12.48 inference(quant_inst,[status(thm)],[])).
% 17.34/12.48 tff(32071,plain,
% 17.34/12.48 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v130(constB197)) | (~v155(constB197)))))),
% 17.34/12.48 inference(modus_ponens,[status(thm)],[32070, 32069])).
% 17.34/12.48 tff(32072,plain,
% 17.34/12.48 (v164(constB197) <=> (~((~v130(constB197)) | (~v155(constB197))))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32071, 96])).
% 17.34/12.48 tff(32073,plain,
% 17.34/12.48 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB197) <=> v152(constB197))),
% 17.34/12.48 inference(quant_inst,[status(thm)],[])).
% 17.34/12.48 tff(32074,plain,
% 17.34/12.48 (v130(constB197) <=> v152(constB197)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32073, 361])).
% 17.34/12.48 tff(32075,plain,
% 17.34/12.48 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 17.34/12.48 inference(rewrite,[status(thm)],[])).
% 17.34/12.48 tff(32076,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_196')).
% 17.34/12.48 tff(32077,plain,
% 17.34/12.48 (nextState(constB196, constB197)),
% 17.34/12.48 inference(modus_ponens,[status(thm)],[32076, 32075])).
% 17.34/12.48 tff(32078,plain,
% 17.34/12.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB196, constB197)) | (v152(constB197) <=> v150(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB196, constB197)) | (v152(constB197) <=> v150(constB196)))),
% 17.34/12.48 inference(rewrite,[status(thm)],[])).
% 17.34/12.48 tff(32079,plain,
% 17.34/12.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB196, constB197)) | (v152(constB197) <=> v150(constB196)))),
% 17.34/12.48 inference(quant_inst,[status(thm)],[])).
% 17.34/12.48 tff(32080,plain,
% 17.34/12.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB196, constB197)) | (v152(constB197) <=> v150(constB196))),
% 17.34/12.48 inference(modus_ponens,[status(thm)],[32079, 32078])).
% 17.34/12.48 tff(32081,plain,
% 17.34/12.48 (v152(constB197) <=> v150(constB196)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32080, 32077, 373])).
% 17.34/12.48 tff(32082,plain,
% 17.34/12.48 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB196) <=> (v153(constB196) | v154(constB196)))),
% 17.34/12.48 inference(quant_inst,[status(thm)],[])).
% 17.34/12.48 tff(32083,plain,
% 17.34/12.48 (v150(constB196) <=> (v153(constB196) | v154(constB196))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32082, 387])).
% 17.34/12.48 tff(32084,plain,
% 17.34/12.48 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB196) <=> (~((~v132(constB196)) | (~v155(constB196)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB196) <=> (~((~v132(constB196)) | (~v155(constB196))))))),
% 17.34/12.48 inference(rewrite,[status(thm)],[])).
% 17.34/12.48 tff(32085,plain,
% 17.34/12.48 ((v154(constB196) <=> (~((~v155(constB196)) | (~v132(constB196))))) <=> (v154(constB196) <=> (~((~v132(constB196)) | (~v155(constB196)))))),
% 17.34/12.48 inference(rewrite,[status(thm)],[])).
% 17.34/12.48 tff(32086,plain,
% 17.34/12.48 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB196) <=> (~((~v155(constB196)) | (~v132(constB196)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB196) <=> (~((~v132(constB196)) | (~v155(constB196))))))),
% 17.34/12.48 inference(monotonicity,[status(thm)],[32085])).
% 17.34/12.48 tff(32087,plain,
% 17.34/12.48 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB196) <=> (~((~v155(constB196)) | (~v132(constB196)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB196) <=> (~((~v132(constB196)) | (~v155(constB196))))))),
% 17.34/12.48 inference(transitivity,[status(thm)],[32086, 32084])).
% 17.34/12.48 tff(32088,plain,
% 17.34/12.48 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB196) <=> (~((~v155(constB196)) | (~v132(constB196)))))),
% 17.34/12.48 inference(quant_inst,[status(thm)],[])).
% 17.34/12.48 tff(32089,plain,
% 17.34/12.48 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB196) <=> (~((~v132(constB196)) | (~v155(constB196)))))),
% 17.34/12.48 inference(modus_ponens,[status(thm)],[32088, 32087])).
% 17.34/12.48 tff(32090,plain,
% 17.34/12.48 (v154(constB196) <=> (~((~v132(constB196)) | (~v155(constB196))))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32089, 399])).
% 17.34/12.48 tff(32091,plain,
% 17.34/12.48 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB196) <=> (~((~v141(constB196)) | (~v143(constB196)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB196) <=> (~((~v141(constB196)) | (~v143(constB196))))))),
% 17.34/12.48 inference(rewrite,[status(thm)],[])).
% 17.34/12.48 tff(32092,plain,
% 17.34/12.48 ((v155(constB196) <=> (~((~v143(constB196)) | (~v141(constB196))))) <=> (v155(constB196) <=> (~((~v141(constB196)) | (~v143(constB196)))))),
% 17.34/12.48 inference(rewrite,[status(thm)],[])).
% 17.34/12.48 tff(32093,plain,
% 17.34/12.48 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB196) <=> (~((~v143(constB196)) | (~v141(constB196)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB196) <=> (~((~v141(constB196)) | (~v143(constB196))))))),
% 17.34/12.48 inference(monotonicity,[status(thm)],[32092])).
% 17.34/12.48 tff(32094,plain,
% 17.34/12.48 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB196) <=> (~((~v143(constB196)) | (~v141(constB196)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB196) <=> (~((~v141(constB196)) | (~v143(constB196))))))),
% 17.34/12.48 inference(transitivity,[status(thm)],[32093, 32091])).
% 17.34/12.48 tff(32095,plain,
% 17.34/12.48 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB196) <=> (~((~v143(constB196)) | (~v141(constB196)))))),
% 17.34/12.48 inference(quant_inst,[status(thm)],[])).
% 17.34/12.48 tff(32096,plain,
% 17.34/12.48 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB196) <=> (~((~v141(constB196)) | (~v143(constB196)))))),
% 17.34/12.48 inference(modus_ponens,[status(thm)],[32095, 32094])).
% 17.34/12.48 tff(32097,plain,
% 17.34/12.48 (v155(constB196) <=> (~((~v141(constB196)) | (~v143(constB196))))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32096, 113])).
% 17.34/12.48 tff(32098,plain,
% 17.34/12.48 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))),
% 17.34/12.48 inference(quant_inst,[status(thm)],[])).
% 17.34/12.48 tff(32099,plain,
% 17.34/12.48 (v141(constB196) <=> (~((~v39(constB196)) | (~v9(constB196))))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32098, 130])).
% 17.34/12.48 tff(32100,plain,
% 17.34/12.48 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB196)) <=> v1(constB196))),
% 17.34/12.48 inference(quant_inst,[status(thm)],[])).
% 17.34/12.48 tff(32101,plain,
% 17.34/12.48 ((~v39(constB196)) <=> v1(constB196)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32100, 139])).
% 17.34/12.48 tff(32102,plain,
% 17.34/12.48 (v1(constB196) <=> v1(constB196)),
% 17.34/12.48 inference(rewrite,[status(thm)],[])).
% 17.34/12.48 tff(32103,axiom,(v1(constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_196')).
% 17.34/12.48 tff(32104,plain,
% 17.34/12.48 (v1(constB196)),
% 17.34/12.48 inference(modus_ponens,[status(thm)],[32103, 32102])).
% 17.34/12.48 tff(32105,plain,
% 17.34/12.48 ((~((~v39(constB196)) <=> v1(constB196))) | (~v39(constB196)) | (~v1(constB196))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32106,plain,
% 17.34/12.48 ((~((~v39(constB196)) <=> v1(constB196))) | (~v39(constB196))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32105, 32104])).
% 17.34/12.48 tff(32107,plain,
% 17.34/12.48 (~v39(constB196)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32106, 32101])).
% 17.34/12.48 tff(32108,plain,
% 17.34/12.48 (((~v39(constB196)) | (~v9(constB196))) | v39(constB196)),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32109,plain,
% 17.34/12.48 ((~v39(constB196)) | (~v9(constB196))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32108, 32107])).
% 17.34/12.48 tff(32110,plain,
% 17.34/12.48 ((~(v141(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))) | (~v141(constB196)) | (~((~v39(constB196)) | (~v9(constB196))))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32111,plain,
% 17.34/12.48 ((~(v141(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))) | (~v141(constB196))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32110, 32109])).
% 17.34/12.48 tff(32112,plain,
% 17.34/12.48 (~v141(constB196)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32111, 32099])).
% 17.34/12.48 tff(32113,plain,
% 17.34/12.48 (((~v141(constB196)) | (~v143(constB196))) | v141(constB196)),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32114,plain,
% 17.34/12.48 ((~v141(constB196)) | (~v143(constB196))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32113, 32112])).
% 17.34/12.48 tff(32115,plain,
% 17.34/12.48 ((~(v155(constB196) <=> (~((~v141(constB196)) | (~v143(constB196)))))) | (~v155(constB196)) | (~((~v141(constB196)) | (~v143(constB196))))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32116,plain,
% 17.34/12.48 ((~(v155(constB196) <=> (~((~v141(constB196)) | (~v143(constB196)))))) | (~v155(constB196))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32115, 32114])).
% 17.34/12.48 tff(32117,plain,
% 17.34/12.48 (~v155(constB196)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32116, 32097])).
% 17.34/12.48 tff(32118,plain,
% 17.34/12.48 (((~v132(constB196)) | (~v155(constB196))) | v155(constB196)),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32119,plain,
% 17.34/12.48 ((~v132(constB196)) | (~v155(constB196))),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32118, 32117])).
% 17.34/12.48 tff(32120,plain,
% 17.34/12.48 ((~(v154(constB196) <=> (~((~v132(constB196)) | (~v155(constB196)))))) | (~v154(constB196)) | (~((~v132(constB196)) | (~v155(constB196))))),
% 17.34/12.48 inference(tautology,[status(thm)],[])).
% 17.34/12.48 tff(32121,plain,
% 17.34/12.48 (~v154(constB196)),
% 17.34/12.48 inference(unit_resolution,[status(thm)],[32120, 32119, 32090])).
% 17.34/12.48 tff(32122,plain,
% 17.34/12.48 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB196) <=> (~((~v130(constB196)) | (~v139(constB196)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB196) <=> (~((~v130(constB196)) | (~v139(constB196))))))),
% 17.34/12.48 inference(rewrite,[status(thm)],[])).
% 17.34/12.48 tff(32123,plain,
% 17.34/12.48 ((v153(constB196) <=> (~((~v139(constB196)) | (~v130(constB196))))) <=> (v153(constB196) <=> (~((~v130(constB196)) | (~v139(constB196)))))),
% 17.34/12.48 inference(rewrite,[status(thm)],[])).
% 17.34/12.48 tff(32124,plain,
% 17.34/12.48 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB196) <=> (~((~v139(constB196)) | (~v130(constB196)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB196) <=> (~((~v130(constB196)) | (~v139(constB196))))))),
% 17.34/12.48 inference(monotonicity,[status(thm)],[32123])).
% 17.34/12.48 tff(32125,plain,
% 17.34/12.48 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB196) <=> (~((~v139(constB196)) | (~v130(constB196)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB196) <=> (~((~v130(constB196)) | (~v139(constB196))))))),
% 17.34/12.49 inference(transitivity,[status(thm)],[32124, 32122])).
% 17.34/12.49 tff(32126,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB196) <=> (~((~v139(constB196)) | (~v130(constB196)))))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32127,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB196) <=> (~((~v130(constB196)) | (~v139(constB196)))))),
% 17.34/12.49 inference(modus_ponens,[status(thm)],[32126, 32125])).
% 17.34/12.49 tff(32128,plain,
% 17.34/12.49 (v153(constB196) <=> (~((~v130(constB196)) | (~v139(constB196))))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32127, 447])).
% 17.34/12.49 tff(32129,plain,
% 17.34/12.49 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB196) <=> v152(constB196))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32130,plain,
% 17.34/12.49 (v130(constB196) <=> v152(constB196)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32129, 361])).
% 17.34/12.49 tff(32131,plain,
% 17.34/12.49 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 17.34/12.49 inference(rewrite,[status(thm)],[])).
% 17.34/12.49 tff(32132,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_195')).
% 17.34/12.49 tff(32133,plain,
% 17.34/12.49 (nextState(constB195, constB196)),
% 17.34/12.49 inference(modus_ponens,[status(thm)],[32132, 32131])).
% 17.34/12.49 tff(32134,plain,
% 17.34/12.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB195, constB196)) | (v152(constB196) <=> v150(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB195, constB196)) | (v152(constB196) <=> v150(constB195)))),
% 17.34/12.49 inference(rewrite,[status(thm)],[])).
% 17.34/12.49 tff(32135,plain,
% 17.34/12.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB195, constB196)) | (v152(constB196) <=> v150(constB195)))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32136,plain,
% 17.34/12.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB195, constB196)) | (v152(constB196) <=> v150(constB195))),
% 17.34/12.49 inference(modus_ponens,[status(thm)],[32135, 32134])).
% 17.34/12.49 tff(32137,plain,
% 17.34/12.49 (v152(constB196) <=> v150(constB195)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32136, 32133, 373])).
% 17.34/12.49 tff(32138,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB195) <=> (v153(constB195) | v154(constB195)))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32139,plain,
% 17.34/12.49 (v150(constB195) <=> (v153(constB195) | v154(constB195))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32138, 387])).
% 17.34/12.49 tff(32140,plain,
% 17.34/12.49 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB195) <=> (~((~v130(constB195)) | (~v139(constB195)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB195) <=> (~((~v130(constB195)) | (~v139(constB195))))))),
% 17.34/12.49 inference(rewrite,[status(thm)],[])).
% 17.34/12.49 tff(32141,plain,
% 17.34/12.49 ((v153(constB195) <=> (~((~v139(constB195)) | (~v130(constB195))))) <=> (v153(constB195) <=> (~((~v130(constB195)) | (~v139(constB195)))))),
% 17.34/12.49 inference(rewrite,[status(thm)],[])).
% 17.34/12.49 tff(32142,plain,
% 17.34/12.49 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB195) <=> (~((~v139(constB195)) | (~v130(constB195)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB195) <=> (~((~v130(constB195)) | (~v139(constB195))))))),
% 17.34/12.49 inference(monotonicity,[status(thm)],[32141])).
% 17.34/12.49 tff(32143,plain,
% 17.34/12.49 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB195) <=> (~((~v139(constB195)) | (~v130(constB195)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB195) <=> (~((~v130(constB195)) | (~v139(constB195))))))),
% 17.34/12.49 inference(transitivity,[status(thm)],[32142, 32140])).
% 17.34/12.49 tff(32144,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB195) <=> (~((~v139(constB195)) | (~v130(constB195)))))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32145,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB195) <=> (~((~v130(constB195)) | (~v139(constB195)))))),
% 17.34/12.49 inference(modus_ponens,[status(thm)],[32144, 32143])).
% 17.34/12.49 tff(32146,plain,
% 17.34/12.49 (v153(constB195) <=> (~((~v130(constB195)) | (~v139(constB195))))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32145, 447])).
% 17.34/12.49 tff(32147,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB195)) <=> v140(constB195))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32148,plain,
% 17.34/12.49 ((~v139(constB195)) <=> v140(constB195)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32147, 203])).
% 17.34/12.49 tff(32149,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB195) <=> (v141(constB195) | v26(constB195)))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32150,plain,
% 17.34/12.49 (v140(constB195) <=> (v141(constB195) | v26(constB195))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32149, 212])).
% 17.34/12.49 tff(32151,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB195) <=> (~((~v39(constB195)) | (~v9(constB195)))))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32152,plain,
% 17.34/12.49 (v141(constB195) <=> (~((~v39(constB195)) | (~v9(constB195))))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32151, 130])).
% 17.34/12.49 tff(32153,plain,
% 17.34/12.49 (((~![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)))),
% 17.34/12.49 inference(rewrite,[status(thm)],[])).
% 17.34/12.49 tff(32154,plain,
% 17.34/12.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195)))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32155,plain,
% 17.34/12.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195))),
% 17.34/12.49 inference(modus_ponens,[status(thm)],[32154, 32153])).
% 17.34/12.49 tff(32156,plain,
% 17.34/12.49 (v13(constB196) <=> v9(constB195)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32155, 32133, 226])).
% 17.34/12.49 tff(32157,plain,
% 17.34/12.49 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB196) <=> v13(constB196))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32158,plain,
% 17.34/12.49 (v6(constB196) <=> v13(constB196)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32157, 240])).
% 17.34/12.49 tff(32159,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB196)) <=> v6(constB196))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32160,plain,
% 17.34/12.49 ((~v21(constB196)) <=> v6(constB196)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32159, 249])).
% 17.34/12.49 tff(32161,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB196) <=> (v20(constB196) | v21(constB196)))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32162,plain,
% 17.34/12.49 (v19(constB196) <=> (v20(constB196) | v21(constB196))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32161, 258])).
% 17.34/12.49 tff(32163,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196)))))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32164,plain,
% 17.34/12.49 (v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196))))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32163, 270])).
% 17.34/12.49 tff(32165,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB196)) <=> v18(constB196))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32166,plain,
% 17.34/12.49 ((~v4(constB196)) <=> v18(constB196)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32165, 279])).
% 17.34/12.49 tff(32167,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB196)),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32168,plain,
% 17.34/12.49 (v4(constB196)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32167, 288])).
% 17.34/12.49 tff(32169,plain,
% 17.34/12.49 ((~((~v4(constB196)) <=> v18(constB196))) | (~v4(constB196)) | (~v18(constB196))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32170,plain,
% 17.34/12.49 (~v18(constB196)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32169, 32168, 32166])).
% 17.34/12.49 tff(32171,plain,
% 17.34/12.49 ((~(v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196)))))) | v18(constB196) | ((~v19(constB196)) | (~v22(constB196)))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32172,plain,
% 17.34/12.49 ((~v19(constB196)) | (~v22(constB196))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32171, 32170, 32164])).
% 17.34/12.49 tff(32173,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB196) <=> (v1(constB196) | v6(constB196)))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32174,plain,
% 17.34/12.49 (v22(constB196) <=> (v1(constB196) | v6(constB196))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32173, 301])).
% 17.34/12.49 tff(32175,plain,
% 17.34/12.49 ((v1(constB196) | v6(constB196)) | (~v1(constB196))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32176,plain,
% 17.34/12.49 (v1(constB196) | v6(constB196)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32175, 32104])).
% 17.34/12.49 tff(32177,plain,
% 17.34/12.49 ((~(v22(constB196) <=> (v1(constB196) | v6(constB196)))) | v22(constB196) | (~(v1(constB196) | v6(constB196)))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32178,plain,
% 17.34/12.49 ((~(v22(constB196) <=> (v1(constB196) | v6(constB196)))) | v22(constB196)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32177, 32176])).
% 17.34/12.49 tff(32179,plain,
% 17.34/12.49 (v22(constB196)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32178, 32174])).
% 17.34/12.49 tff(32180,plain,
% 17.34/12.49 ((~((~v19(constB196)) | (~v22(constB196)))) | (~v19(constB196)) | (~v22(constB196))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32181,plain,
% 17.34/12.49 ((~((~v19(constB196)) | (~v22(constB196)))) | (~v19(constB196))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32180, 32179])).
% 17.34/12.49 tff(32182,plain,
% 17.34/12.49 (~v19(constB196)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32181, 32172])).
% 17.34/12.49 tff(32183,plain,
% 17.34/12.49 ((~(v19(constB196) <=> (v20(constB196) | v21(constB196)))) | v19(constB196) | (~(v20(constB196) | v21(constB196)))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32184,plain,
% 17.34/12.49 (~(v20(constB196) | v21(constB196))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32183, 32182, 32162])).
% 17.34/12.49 tff(32185,plain,
% 17.34/12.49 ((v20(constB196) | v21(constB196)) | (~v21(constB196))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32186,plain,
% 17.34/12.49 (~v21(constB196)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32185, 32184])).
% 17.34/12.49 tff(32187,plain,
% 17.34/12.49 ((~((~v21(constB196)) <=> v6(constB196))) | v21(constB196) | v6(constB196)),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32188,plain,
% 17.34/12.49 (v6(constB196)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32187, 32186, 32160])).
% 17.34/12.49 tff(32189,plain,
% 17.34/12.49 ((~(v6(constB196) <=> v13(constB196))) | (~v6(constB196)) | v13(constB196)),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32190,plain,
% 17.34/12.49 (v13(constB196)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32189, 32188, 32158])).
% 17.34/12.49 tff(32191,plain,
% 17.34/12.49 ((~(v13(constB196) <=> v9(constB195))) | (~v13(constB196)) | v9(constB195)),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32192,plain,
% 17.34/12.49 (v9(constB195)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32191, 32190, 32156])).
% 17.34/12.49 tff(32193,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB195)) <=> v1(constB195))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32194,plain,
% 17.34/12.49 ((~v39(constB195)) <=> v1(constB195)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32193, 139])).
% 17.34/12.49 tff(32195,plain,
% 17.34/12.49 ((~v1(constB195)) <=> (~v1(constB195))),
% 17.34/12.49 inference(rewrite,[status(thm)],[])).
% 17.34/12.49 tff(32196,axiom,(~v1(constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_195')).
% 17.34/12.49 tff(32197,plain,
% 17.34/12.49 (~v1(constB195)),
% 17.34/12.49 inference(modus_ponens,[status(thm)],[32196, 32195])).
% 17.34/12.49 tff(32198,plain,
% 17.34/12.49 ((~((~v39(constB195)) <=> v1(constB195))) | v39(constB195) | v1(constB195)),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32199,plain,
% 17.34/12.49 ((~((~v39(constB195)) <=> v1(constB195))) | v39(constB195)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32198, 32197])).
% 17.34/12.49 tff(32200,plain,
% 17.34/12.49 (v39(constB195)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32199, 32194])).
% 17.34/12.49 tff(32201,plain,
% 17.34/12.49 ((~((~v39(constB195)) | (~v9(constB195)))) | (~v39(constB195)) | (~v9(constB195))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32202,plain,
% 17.34/12.49 ((~((~v39(constB195)) | (~v9(constB195)))) | (~v9(constB195))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32201, 32200])).
% 17.34/12.49 tff(32203,plain,
% 17.34/12.49 (~((~v39(constB195)) | (~v9(constB195)))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32202, 32192])).
% 17.34/12.49 tff(32204,plain,
% 17.34/12.49 ((~(v141(constB195) <=> (~((~v39(constB195)) | (~v9(constB195)))))) | v141(constB195) | ((~v39(constB195)) | (~v9(constB195)))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32205,plain,
% 17.34/12.49 (v141(constB195)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32204, 32203, 32152])).
% 17.34/12.49 tff(32206,plain,
% 17.34/12.49 ((v141(constB195) | v26(constB195)) | (~v141(constB195))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32207,plain,
% 17.34/12.49 (v141(constB195) | v26(constB195)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32206, 32205])).
% 17.34/12.49 tff(32208,plain,
% 17.34/12.49 ((~(v140(constB195) <=> (v141(constB195) | v26(constB195)))) | v140(constB195) | (~(v141(constB195) | v26(constB195)))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32209,plain,
% 17.34/12.49 (v140(constB195)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32208, 32207, 32150])).
% 17.34/12.49 tff(32210,plain,
% 17.34/12.49 ((~((~v139(constB195)) <=> v140(constB195))) | (~v139(constB195)) | (~v140(constB195))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32211,plain,
% 17.34/12.49 (~v139(constB195)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32210, 32209, 32148])).
% 17.34/12.49 tff(32212,plain,
% 17.34/12.49 (((~v130(constB195)) | (~v139(constB195))) | v139(constB195)),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32213,plain,
% 17.34/12.49 ((~v130(constB195)) | (~v139(constB195))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32212, 32211])).
% 17.34/12.49 tff(32214,plain,
% 17.34/12.49 ((~(v153(constB195) <=> (~((~v130(constB195)) | (~v139(constB195)))))) | (~v153(constB195)) | (~((~v130(constB195)) | (~v139(constB195))))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32215,plain,
% 17.34/12.49 (~v153(constB195)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32214, 32213, 32146])).
% 17.34/12.49 tff(32216,plain,
% 17.34/12.49 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB195) <=> (~((~v132(constB195)) | (~v155(constB195)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB195) <=> (~((~v132(constB195)) | (~v155(constB195))))))),
% 17.34/12.49 inference(rewrite,[status(thm)],[])).
% 17.34/12.49 tff(32217,plain,
% 17.34/12.49 ((v154(constB195) <=> (~((~v155(constB195)) | (~v132(constB195))))) <=> (v154(constB195) <=> (~((~v132(constB195)) | (~v155(constB195)))))),
% 17.34/12.49 inference(rewrite,[status(thm)],[])).
% 17.34/12.49 tff(32218,plain,
% 17.34/12.49 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB195) <=> (~((~v155(constB195)) | (~v132(constB195)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB195) <=> (~((~v132(constB195)) | (~v155(constB195))))))),
% 17.34/12.49 inference(monotonicity,[status(thm)],[32217])).
% 17.34/12.49 tff(32219,plain,
% 17.34/12.49 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB195) <=> (~((~v155(constB195)) | (~v132(constB195)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB195) <=> (~((~v132(constB195)) | (~v155(constB195))))))),
% 17.34/12.49 inference(transitivity,[status(thm)],[32218, 32216])).
% 17.34/12.49 tff(32220,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB195) <=> (~((~v155(constB195)) | (~v132(constB195)))))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32221,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB195) <=> (~((~v132(constB195)) | (~v155(constB195)))))),
% 17.34/12.49 inference(modus_ponens,[status(thm)],[32220, 32219])).
% 17.34/12.49 tff(32222,plain,
% 17.34/12.49 (v154(constB195) <=> (~((~v132(constB195)) | (~v155(constB195))))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32221, 399])).
% 17.34/12.49 tff(32223,plain,
% 17.34/12.49 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB195) <=> v137(constB195))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32224,plain,
% 17.34/12.49 (v132(constB195) <=> v137(constB195)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32223, 558])).
% 17.34/12.49 tff(32225,plain,
% 17.34/12.49 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 17.34/12.49 inference(rewrite,[status(thm)],[])).
% 17.34/12.49 tff(32226,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_194')).
% 17.34/12.49 tff(32227,plain,
% 17.34/12.49 (nextState(constB194, constB195)),
% 17.34/12.49 inference(modus_ponens,[status(thm)],[32226, 32225])).
% 17.34/12.49 tff(32228,plain,
% 17.34/12.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB194, constB195)) | (v137(constB195) <=> v135(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB194, constB195)) | (v137(constB195) <=> v135(constB194)))),
% 17.34/12.49 inference(rewrite,[status(thm)],[])).
% 17.34/12.49 tff(32229,plain,
% 17.34/12.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB194, constB195)) | (v137(constB195) <=> v135(constB194)))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32230,plain,
% 17.34/12.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB194, constB195)) | (v137(constB195) <=> v135(constB194))),
% 17.34/12.49 inference(modus_ponens,[status(thm)],[32229, 32228])).
% 17.34/12.49 tff(32231,plain,
% 17.34/12.49 (v137(constB195) <=> v135(constB194)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32230, 32227, 570])).
% 17.34/12.49 tff(32232,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB194) <=> (v138(constB194) | v142(constB194)))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32233,plain,
% 17.34/12.49 (v135(constB194) <=> (v138(constB194) | v142(constB194))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32232, 584])).
% 17.34/12.49 tff(32234,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB194) <=> (~((~v143(constB194)) | (~v144(constB194)))))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32235,plain,
% 17.34/12.49 (v142(constB194) <=> (~((~v143(constB194)) | (~v144(constB194))))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32234, 596])).
% 17.34/12.49 tff(32236,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB194) <=> (~((~v141(constB194)) | (~v145(constB194)))))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32237,plain,
% 17.34/12.49 (v144(constB194) <=> (~((~v141(constB194)) | (~v145(constB194))))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32236, 608])).
% 17.34/12.49 tff(32238,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32239,plain,
% 17.34/12.49 (v141(constB194) <=> (~((~v39(constB194)) | (~v9(constB194))))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32238, 130])).
% 17.34/12.49 tff(32240,plain,
% 17.34/12.49 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB194)) <=> v1(constB194))),
% 17.34/12.49 inference(quant_inst,[status(thm)],[])).
% 17.34/12.49 tff(32241,plain,
% 17.34/12.49 ((~v39(constB194)) <=> v1(constB194)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32240, 139])).
% 17.34/12.49 tff(32242,plain,
% 17.34/12.49 (v1(constB194) <=> v1(constB194)),
% 17.34/12.49 inference(rewrite,[status(thm)],[])).
% 17.34/12.49 tff(32243,axiom,(v1(constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_194')).
% 17.34/12.49 tff(32244,plain,
% 17.34/12.49 (v1(constB194)),
% 17.34/12.49 inference(modus_ponens,[status(thm)],[32243, 32242])).
% 17.34/12.49 tff(32245,plain,
% 17.34/12.49 ((~((~v39(constB194)) <=> v1(constB194))) | (~v39(constB194)) | (~v1(constB194))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32246,plain,
% 17.34/12.49 ((~((~v39(constB194)) <=> v1(constB194))) | (~v39(constB194))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32245, 32244])).
% 17.34/12.49 tff(32247,plain,
% 17.34/12.49 (~v39(constB194)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32246, 32241])).
% 17.34/12.49 tff(32248,plain,
% 17.34/12.49 (((~v39(constB194)) | (~v9(constB194))) | v39(constB194)),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32249,plain,
% 17.34/12.49 ((~v39(constB194)) | (~v9(constB194))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32248, 32247])).
% 17.34/12.49 tff(32250,plain,
% 17.34/12.49 ((~(v141(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))) | (~v141(constB194)) | (~((~v39(constB194)) | (~v9(constB194))))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32251,plain,
% 17.34/12.49 ((~(v141(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))) | (~v141(constB194))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32250, 32249])).
% 17.34/12.49 tff(32252,plain,
% 17.34/12.49 (~v141(constB194)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32251, 32239])).
% 17.34/12.49 tff(32253,plain,
% 17.34/12.49 (((~v141(constB194)) | (~v145(constB194))) | v141(constB194)),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32254,plain,
% 17.34/12.49 ((~v141(constB194)) | (~v145(constB194))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32253, 32252])).
% 17.34/12.49 tff(32255,plain,
% 17.34/12.49 ((~(v144(constB194) <=> (~((~v141(constB194)) | (~v145(constB194)))))) | (~v144(constB194)) | (~((~v141(constB194)) | (~v145(constB194))))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32256,plain,
% 17.34/12.49 ((~(v144(constB194) <=> (~((~v141(constB194)) | (~v145(constB194)))))) | (~v144(constB194))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32255, 32254])).
% 17.34/12.49 tff(32257,plain,
% 17.34/12.49 (~v144(constB194)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32256, 32237])).
% 17.34/12.49 tff(32258,plain,
% 17.34/12.49 (((~v143(constB194)) | (~v144(constB194))) | v144(constB194)),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32259,plain,
% 17.34/12.49 ((~v143(constB194)) | (~v144(constB194))),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32258, 32257])).
% 17.34/12.49 tff(32260,plain,
% 17.34/12.49 ((~(v142(constB194) <=> (~((~v143(constB194)) | (~v144(constB194)))))) | (~v142(constB194)) | (~((~v143(constB194)) | (~v144(constB194))))),
% 17.34/12.49 inference(tautology,[status(thm)],[])).
% 17.34/12.49 tff(32261,plain,
% 17.34/12.49 (~v142(constB194)),
% 17.34/12.49 inference(unit_resolution,[status(thm)],[32260, 32259, 32235])).
% 17.34/12.49 tff(32262,plain,
% 17.34/12.49 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194))))))),
% 17.34/12.49 inference(rewrite,[status(thm)],[])).
% 17.34/12.49 tff(32263,plain,
% 17.34/12.49 ((v138(constB194) <=> (~((~v139(constB194)) | (~v132(constB194))))) <=> (v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194)))))),
% 17.34/12.49 inference(rewrite,[status(thm)],[])).
% 17.34/12.49 tff(32264,plain,
% 17.34/12.49 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v139(constB194)) | (~v132(constB194)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194))))))),
% 17.34/12.49 inference(monotonicity,[status(thm)],[32263])).
% 17.34/12.49 tff(32265,plain,
% 17.34/12.49 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v139(constB194)) | (~v132(constB194)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194))))))),
% 17.34/12.50 inference(transitivity,[status(thm)],[32264, 32262])).
% 17.34/12.50 tff(32266,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v139(constB194)) | (~v132(constB194)))))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32267,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194)))))),
% 17.34/12.50 inference(modus_ponens,[status(thm)],[32266, 32265])).
% 17.34/12.50 tff(32268,plain,
% 17.34/12.50 (v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194))))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32267, 644])).
% 17.34/12.50 tff(32269,plain,
% 17.34/12.50 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB194) <=> v137(constB194))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32270,plain,
% 17.34/12.50 (v132(constB194) <=> v137(constB194)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32269, 558])).
% 17.34/12.50 tff(32271,plain,
% 17.34/12.50 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 17.34/12.50 inference(rewrite,[status(thm)],[])).
% 17.34/12.50 tff(32272,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_193')).
% 17.34/12.50 tff(32273,plain,
% 17.34/12.50 (nextState(constB193, constB194)),
% 17.34/12.50 inference(modus_ponens,[status(thm)],[32272, 32271])).
% 17.34/12.50 tff(32274,plain,
% 17.34/12.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB193, constB194)) | (v137(constB194) <=> v135(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB193, constB194)) | (v137(constB194) <=> v135(constB193)))),
% 17.34/12.50 inference(rewrite,[status(thm)],[])).
% 17.34/12.50 tff(32275,plain,
% 17.34/12.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB193, constB194)) | (v137(constB194) <=> v135(constB193)))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32276,plain,
% 17.34/12.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB193, constB194)) | (v137(constB194) <=> v135(constB193))),
% 17.34/12.50 inference(modus_ponens,[status(thm)],[32275, 32274])).
% 17.34/12.50 tff(32277,plain,
% 17.34/12.50 (v137(constB194) <=> v135(constB193)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32276, 32273, 570])).
% 17.34/12.50 tff(32278,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB193) <=> (v138(constB193) | v142(constB193)))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32279,plain,
% 17.34/12.50 (v135(constB193) <=> (v138(constB193) | v142(constB193))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32278, 584])).
% 17.34/12.50 tff(32280,plain,
% 17.34/12.50 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193))))))),
% 17.34/12.50 inference(rewrite,[status(thm)],[])).
% 17.34/12.50 tff(32281,plain,
% 17.34/12.50 ((v138(constB193) <=> (~((~v139(constB193)) | (~v132(constB193))))) <=> (v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193)))))),
% 17.34/12.50 inference(rewrite,[status(thm)],[])).
% 17.34/12.50 tff(32282,plain,
% 17.34/12.50 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v139(constB193)) | (~v132(constB193)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193))))))),
% 17.34/12.50 inference(monotonicity,[status(thm)],[32281])).
% 17.34/12.50 tff(32283,plain,
% 17.34/12.50 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v139(constB193)) | (~v132(constB193)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193))))))),
% 17.34/12.50 inference(transitivity,[status(thm)],[32282, 32280])).
% 17.34/12.50 tff(32284,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v139(constB193)) | (~v132(constB193)))))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32285,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193)))))),
% 17.34/12.50 inference(modus_ponens,[status(thm)],[32284, 32283])).
% 17.34/12.50 tff(32286,plain,
% 17.34/12.50 (v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193))))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32285, 644])).
% 17.34/12.50 tff(32287,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB193)) <=> v140(constB193))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32288,plain,
% 17.34/12.50 ((~v139(constB193)) <=> v140(constB193)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32287, 203])).
% 17.34/12.50 tff(32289,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB193) <=> (v141(constB193) | v26(constB193)))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32290,plain,
% 17.34/12.50 (v140(constB193) <=> (v141(constB193) | v26(constB193))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32289, 212])).
% 17.34/12.50 tff(32291,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB193) <=> (~((~v39(constB193)) | (~v9(constB193)))))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32292,plain,
% 17.34/12.50 (v141(constB193) <=> (~((~v39(constB193)) | (~v9(constB193))))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32291, 130])).
% 17.34/12.50 tff(32293,plain,
% 17.34/12.50 (((~![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)))),
% 17.34/12.50 inference(rewrite,[status(thm)],[])).
% 17.34/12.50 tff(32294,plain,
% 17.34/12.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193)))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32295,plain,
% 17.34/12.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193))),
% 17.34/12.50 inference(modus_ponens,[status(thm)],[32294, 32293])).
% 17.34/12.50 tff(32296,plain,
% 17.34/12.50 (v13(constB194) <=> v9(constB193)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32295, 32273, 226])).
% 17.34/12.50 tff(32297,plain,
% 17.34/12.50 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB194) <=> v13(constB194))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32298,plain,
% 17.34/12.50 (v6(constB194) <=> v13(constB194)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32297, 240])).
% 17.34/12.50 tff(32299,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB194)) <=> v6(constB194))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32300,plain,
% 17.34/12.50 ((~v21(constB194)) <=> v6(constB194)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32299, 249])).
% 17.34/12.50 tff(32301,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB194) <=> (v20(constB194) | v21(constB194)))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32302,plain,
% 17.34/12.50 (v19(constB194) <=> (v20(constB194) | v21(constB194))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32301, 258])).
% 17.34/12.50 tff(32303,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194)))))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32304,plain,
% 17.34/12.50 (v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194))))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32303, 270])).
% 17.34/12.50 tff(32305,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB194)) <=> v18(constB194))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32306,plain,
% 17.34/12.50 ((~v4(constB194)) <=> v18(constB194)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32305, 279])).
% 17.34/12.50 tff(32307,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB194)),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32308,plain,
% 17.34/12.50 (v4(constB194)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32307, 288])).
% 17.34/12.50 tff(32309,plain,
% 17.34/12.50 ((~((~v4(constB194)) <=> v18(constB194))) | (~v4(constB194)) | (~v18(constB194))),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32310,plain,
% 17.34/12.50 (~v18(constB194)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32309, 32308, 32306])).
% 17.34/12.50 tff(32311,plain,
% 17.34/12.50 ((~(v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194)))))) | v18(constB194) | ((~v19(constB194)) | (~v22(constB194)))),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32312,plain,
% 17.34/12.50 ((~v19(constB194)) | (~v22(constB194))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32311, 32310, 32304])).
% 17.34/12.50 tff(32313,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB194) <=> (v1(constB194) | v6(constB194)))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32314,plain,
% 17.34/12.50 (v22(constB194) <=> (v1(constB194) | v6(constB194))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32313, 301])).
% 17.34/12.50 tff(32315,plain,
% 17.34/12.50 ((v1(constB194) | v6(constB194)) | (~v1(constB194))),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32316,plain,
% 17.34/12.50 (v1(constB194) | v6(constB194)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32315, 32244])).
% 17.34/12.50 tff(32317,plain,
% 17.34/12.50 ((~(v22(constB194) <=> (v1(constB194) | v6(constB194)))) | v22(constB194) | (~(v1(constB194) | v6(constB194)))),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32318,plain,
% 17.34/12.50 ((~(v22(constB194) <=> (v1(constB194) | v6(constB194)))) | v22(constB194)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32317, 32316])).
% 17.34/12.50 tff(32319,plain,
% 17.34/12.50 (v22(constB194)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32318, 32314])).
% 17.34/12.50 tff(32320,plain,
% 17.34/12.50 ((~((~v19(constB194)) | (~v22(constB194)))) | (~v19(constB194)) | (~v22(constB194))),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32321,plain,
% 17.34/12.50 ((~((~v19(constB194)) | (~v22(constB194)))) | (~v19(constB194))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32320, 32319])).
% 17.34/12.50 tff(32322,plain,
% 17.34/12.50 (~v19(constB194)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32321, 32312])).
% 17.34/12.50 tff(32323,plain,
% 17.34/12.50 ((~(v19(constB194) <=> (v20(constB194) | v21(constB194)))) | v19(constB194) | (~(v20(constB194) | v21(constB194)))),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32324,plain,
% 17.34/12.50 (~(v20(constB194) | v21(constB194))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32323, 32322, 32302])).
% 17.34/12.50 tff(32325,plain,
% 17.34/12.50 ((v20(constB194) | v21(constB194)) | (~v21(constB194))),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32326,plain,
% 17.34/12.50 (~v21(constB194)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32325, 32324])).
% 17.34/12.50 tff(32327,plain,
% 17.34/12.50 ((~((~v21(constB194)) <=> v6(constB194))) | v21(constB194) | v6(constB194)),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32328,plain,
% 17.34/12.50 (v6(constB194)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32327, 32326, 32300])).
% 17.34/12.50 tff(32329,plain,
% 17.34/12.50 ((~(v6(constB194) <=> v13(constB194))) | (~v6(constB194)) | v13(constB194)),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32330,plain,
% 17.34/12.50 (v13(constB194)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32329, 32328, 32298])).
% 17.34/12.50 tff(32331,plain,
% 17.34/12.50 ((~(v13(constB194) <=> v9(constB193))) | (~v13(constB194)) | v9(constB193)),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32332,plain,
% 17.34/12.50 (v9(constB193)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32331, 32330, 32296])).
% 17.34/12.50 tff(32333,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB193)) <=> v1(constB193))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32334,plain,
% 17.34/12.50 ((~v39(constB193)) <=> v1(constB193)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32333, 139])).
% 17.34/12.50 tff(32335,plain,
% 17.34/12.50 ((~v1(constB193)) <=> (~v1(constB193))),
% 17.34/12.50 inference(rewrite,[status(thm)],[])).
% 17.34/12.50 tff(32336,axiom,(~v1(constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_193')).
% 17.34/12.50 tff(32337,plain,
% 17.34/12.50 (~v1(constB193)),
% 17.34/12.50 inference(modus_ponens,[status(thm)],[32336, 32335])).
% 17.34/12.50 tff(32338,plain,
% 17.34/12.50 ((~((~v39(constB193)) <=> v1(constB193))) | v39(constB193) | v1(constB193)),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32339,plain,
% 17.34/12.50 ((~((~v39(constB193)) <=> v1(constB193))) | v39(constB193)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32338, 32337])).
% 17.34/12.50 tff(32340,plain,
% 17.34/12.50 (v39(constB193)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32339, 32334])).
% 17.34/12.50 tff(32341,plain,
% 17.34/12.50 ((~((~v39(constB193)) | (~v9(constB193)))) | (~v39(constB193)) | (~v9(constB193))),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32342,plain,
% 17.34/12.50 ((~((~v39(constB193)) | (~v9(constB193)))) | (~v9(constB193))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32341, 32340])).
% 17.34/12.50 tff(32343,plain,
% 17.34/12.50 (~((~v39(constB193)) | (~v9(constB193)))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32342, 32332])).
% 17.34/12.50 tff(32344,plain,
% 17.34/12.50 ((~(v141(constB193) <=> (~((~v39(constB193)) | (~v9(constB193)))))) | v141(constB193) | ((~v39(constB193)) | (~v9(constB193)))),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32345,plain,
% 17.34/12.50 (v141(constB193)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32344, 32343, 32292])).
% 17.34/12.50 tff(32346,plain,
% 17.34/12.50 ((v141(constB193) | v26(constB193)) | (~v141(constB193))),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32347,plain,
% 17.34/12.50 (v141(constB193) | v26(constB193)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32346, 32345])).
% 17.34/12.50 tff(32348,plain,
% 17.34/12.50 ((~(v140(constB193) <=> (v141(constB193) | v26(constB193)))) | v140(constB193) | (~(v141(constB193) | v26(constB193)))),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32349,plain,
% 17.34/12.50 (v140(constB193)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32348, 32347, 32290])).
% 17.34/12.50 tff(32350,plain,
% 17.34/12.50 ((~((~v139(constB193)) <=> v140(constB193))) | (~v139(constB193)) | (~v140(constB193))),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32351,plain,
% 17.34/12.50 (~v139(constB193)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32350, 32349, 32288])).
% 17.34/12.50 tff(32352,plain,
% 17.34/12.50 (((~v132(constB193)) | (~v139(constB193))) | v139(constB193)),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32353,plain,
% 17.34/12.50 ((~v132(constB193)) | (~v139(constB193))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32352, 32351])).
% 17.34/12.50 tff(32354,plain,
% 17.34/12.50 ((~(v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193)))))) | (~v138(constB193)) | (~((~v132(constB193)) | (~v139(constB193))))),
% 17.34/12.50 inference(tautology,[status(thm)],[])).
% 17.34/12.50 tff(32355,plain,
% 17.34/12.50 (~v138(constB193)),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32354, 32353, 32286])).
% 17.34/12.50 tff(32356,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB193) <=> (~((~v143(constB193)) | (~v144(constB193)))))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32357,plain,
% 17.34/12.50 (v142(constB193) <=> (~((~v143(constB193)) | (~v144(constB193))))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32356, 596])).
% 17.34/12.50 tff(32358,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB193) <=> (~((~v141(constB193)) | (~v145(constB193)))))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32359,plain,
% 17.34/12.50 (v144(constB193) <=> (~((~v141(constB193)) | (~v145(constB193))))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32358, 608])).
% 17.34/12.50 tff(32360,plain,
% 17.34/12.50 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB193) <=> (~(v84(constB193, 1) | v84(constB193, 2) | (~v84(constB193, 0)))))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32361,plain,
% 17.34/12.50 (v145(constB193) <=> (~(v84(constB193, 1) | v84(constB193, 2) | (~v84(constB193, 0))))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32360, 755])).
% 17.34/12.50 tff(32362,plain,
% 17.34/12.50 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 17.34/12.50 inference(rewrite,[status(thm)],[])).
% 17.34/12.50 tff(32363,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_192')).
% 17.34/12.50 tff(32364,plain,
% 17.34/12.50 (nextState(constB192, constB193)),
% 17.34/12.50 inference(modus_ponens,[status(thm)],[32363, 32362])).
% 17.34/12.50 tff(32365,plain,
% 17.34/12.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB192, constB193)) | (v94(constB193) <=> (~((~v95(constB193)) | (~v104(constB193))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB192, constB193)) | (v94(constB193) <=> (~((~v95(constB193)) | (~v104(constB193))))))),
% 17.34/12.50 inference(rewrite,[status(thm)],[])).
% 17.34/12.50 tff(32366,plain,
% 17.34/12.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB192, constB193)) | (v94(constB193) <=> (~((~v95(constB193)) | (~v104(constB193))))))),
% 17.34/12.50 inference(quant_inst,[status(thm)],[])).
% 17.34/12.50 tff(32367,plain,
% 17.34/12.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB192, constB193)) | (v94(constB193) <=> (~((~v95(constB193)) | (~v104(constB193)))))),
% 17.34/12.50 inference(modus_ponens,[status(thm)],[32366, 32365])).
% 17.34/12.50 tff(32368,plain,
% 17.34/12.50 (v94(constB193) <=> (~((~v95(constB193)) | (~v104(constB193))))),
% 17.34/12.50 inference(unit_resolution,[status(thm)],[32367, 32364, 770])).
% 17.34/12.50 tff(32369,plain,
% 17.34/12.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193))))))),
% 17.34/12.50 inference(rewrite,[status(thm)],[])).
% 17.34/12.50 tff(32370,plain,
% 17.34/12.50 (((~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v96(constB193)) | (~v1(constB193)))))) <=> ((~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193))))))),
% 17.34/12.50 inference(rewrite,[status(thm)],[])).
% 17.34/12.50 tff(32371,plain,
% 17.34/12.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v96(constB193)) | (~v1(constB193))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193)))))))),
% 17.34/12.50 inference(monotonicity,[status(thm)],[32370])).
% 17.34/12.50 tff(32372,plain,
% 17.34/12.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v96(constB193)) | (~v1(constB193))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193))))))),
% 17.34/12.50 inference(transitivity,[status(thm)],[32371, 32369])).
% 17.34/12.50 tff(32373,plain,
% 17.34/12.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v96(constB193)) | (~v1(constB193))))))),
% 17.34/12.51 inference(quant_inst,[status(thm)],[])).
% 17.34/12.51 tff(32374,plain,
% 17.34/12.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193)))))),
% 17.34/12.51 inference(modus_ponens,[status(thm)],[32373, 32372])).
% 17.34/12.51 tff(32375,plain,
% 17.34/12.51 (v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193))))),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32374, 32364, 790])).
% 17.34/12.51 tff(32376,plain,
% 17.34/12.51 (((~v1(constB193)) | (~v96(constB193))) | v1(constB193)),
% 17.34/12.51 inference(tautology,[status(thm)],[])).
% 17.34/12.51 tff(32377,plain,
% 17.34/12.51 ((~v1(constB193)) | (~v96(constB193))),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32376, 32337])).
% 17.34/12.51 tff(32378,plain,
% 17.34/12.51 ((~(v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193)))))) | (~v95(constB193)) | (~((~v1(constB193)) | (~v96(constB193))))),
% 17.34/12.51 inference(tautology,[status(thm)],[])).
% 17.34/12.51 tff(32379,plain,
% 17.34/12.51 ((~(v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193)))))) | (~v95(constB193))),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32378, 32377])).
% 17.34/12.51 tff(32380,plain,
% 17.34/12.51 (~v95(constB193)),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32379, 32375])).
% 17.34/12.51 tff(32381,plain,
% 17.34/12.51 (((~v95(constB193)) | (~v104(constB193))) | v95(constB193)),
% 17.34/12.51 inference(tautology,[status(thm)],[])).
% 17.34/12.51 tff(32382,plain,
% 17.34/12.51 ((~v95(constB193)) | (~v104(constB193))),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32381, 32380])).
% 17.34/12.51 tff(32383,plain,
% 17.34/12.51 ((~(v94(constB193) <=> (~((~v95(constB193)) | (~v104(constB193)))))) | (~v94(constB193)) | (~((~v95(constB193)) | (~v104(constB193))))),
% 17.34/12.51 inference(tautology,[status(thm)],[])).
% 17.34/12.51 tff(32384,plain,
% 17.34/12.51 (~v94(constB193)),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32383, 32382, 32368])).
% 17.34/12.51 tff(32385,plain,
% 17.34/12.51 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB193) | (~nextState(constB192, constB193)) | (~(((~v84(constB193, 1)) <=> v84(constB192, 1)) | ((~v84(constB193, 2)) <=> v84(constB192, 2)) | ((~v84(constB193, 0)) <=> v84(constB192, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB193) | (~nextState(constB192, constB193)) | (~(((~v84(constB193, 1)) <=> v84(constB192, 1)) | ((~v84(constB193, 2)) <=> v84(constB192, 2)) | ((~v84(constB193, 0)) <=> v84(constB192, 0)))))),
% 17.34/12.51 inference(rewrite,[status(thm)],[])).
% 17.34/12.51 tff(32386,plain,
% 17.34/12.51 ((v94(constB193) | (~nextState(constB192, constB193)) | (~(((~v84(constB193, 2)) <=> v84(constB192, 2)) | ((~v84(constB193, 1)) <=> v84(constB192, 1)) | ((~v84(constB193, 0)) <=> v84(constB192, 0))))) <=> (v94(constB193) | (~nextState(constB192, constB193)) | (~(((~v84(constB193, 1)) <=> v84(constB192, 1)) | ((~v84(constB193, 2)) <=> v84(constB192, 2)) | ((~v84(constB193, 0)) <=> v84(constB192, 0)))))),
% 17.34/12.51 inference(rewrite,[status(thm)],[])).
% 17.34/12.51 tff(32387,plain,
% 17.34/12.51 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB193) | (~nextState(constB192, constB193)) | (~(((~v84(constB193, 2)) <=> v84(constB192, 2)) | ((~v84(constB193, 1)) <=> v84(constB192, 1)) | ((~v84(constB193, 0)) <=> v84(constB192, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB193) | (~nextState(constB192, constB193)) | (~(((~v84(constB193, 1)) <=> v84(constB192, 1)) | ((~v84(constB193, 2)) <=> v84(constB192, 2)) | ((~v84(constB193, 0)) <=> v84(constB192, 0))))))),
% 17.34/12.51 inference(monotonicity,[status(thm)],[32386])).
% 17.34/12.51 tff(32388,plain,
% 17.34/12.51 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB193) | (~nextState(constB192, constB193)) | (~(((~v84(constB193, 2)) <=> v84(constB192, 2)) | ((~v84(constB193, 1)) <=> v84(constB192, 1)) | ((~v84(constB193, 0)) <=> v84(constB192, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB193) | (~nextState(constB192, constB193)) | (~(((~v84(constB193, 1)) <=> v84(constB192, 1)) | ((~v84(constB193, 2)) <=> v84(constB192, 2)) | ((~v84(constB193, 0)) <=> v84(constB192, 0)))))),
% 17.34/12.51 inference(transitivity,[status(thm)],[32387, 32385])).
% 17.34/12.51 tff(32389,plain,
% 17.34/12.51 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB193) | (~nextState(constB192, constB193)) | (~(((~v84(constB193, 2)) <=> v84(constB192, 2)) | ((~v84(constB193, 1)) <=> v84(constB192, 1)) | ((~v84(constB193, 0)) <=> v84(constB192, 0)))))),
% 17.34/12.51 inference(quant_inst,[status(thm)],[])).
% 17.34/12.51 tff(32390,plain,
% 17.34/12.51 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB193) | (~nextState(constB192, constB193)) | (~(((~v84(constB193, 1)) <=> v84(constB192, 1)) | ((~v84(constB193, 2)) <=> v84(constB192, 2)) | ((~v84(constB193, 0)) <=> v84(constB192, 0))))),
% 17.34/12.51 inference(modus_ponens,[status(thm)],[32389, 32388])).
% 17.34/12.51 tff(32391,plain,
% 17.34/12.51 (v94(constB193) | (~(((~v84(constB193, 1)) <=> v84(constB192, 1)) | ((~v84(constB193, 2)) <=> v84(constB192, 2)) | ((~v84(constB193, 0)) <=> v84(constB192, 0))))),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32390, 32364, 819])).
% 17.34/12.51 tff(32392,plain,
% 17.34/12.51 (~(((~v84(constB193, 1)) <=> v84(constB192, 1)) | ((~v84(constB193, 2)) <=> v84(constB192, 2)) | ((~v84(constB193, 0)) <=> v84(constB192, 0)))),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32391, 32384])).
% 17.34/12.51 tff(32393,plain,
% 17.34/12.51 ((((~v84(constB193, 1)) <=> v84(constB192, 1)) | ((~v84(constB193, 2)) <=> v84(constB192, 2)) | ((~v84(constB193, 0)) <=> v84(constB192, 0))) | (~((~v84(constB193, 2)) <=> v84(constB192, 2)))),
% 17.34/12.51 inference(tautology,[status(thm)],[])).
% 17.34/12.51 tff(32394,plain,
% 17.34/12.51 (~((~v84(constB193, 2)) <=> v84(constB192, 2))),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32393, 32392])).
% 17.34/12.51 tff(32395,plain,
% 17.34/12.51 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 17.34/12.51 inference(rewrite,[status(thm)],[])).
% 17.34/12.51 tff(32396,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_191')).
% 17.34/12.51 tff(32397,plain,
% 17.34/12.51 (nextState(constB191, constB192)),
% 17.34/12.51 inference(modus_ponens,[status(thm)],[32396, 32395])).
% 17.34/12.51 tff(32398,plain,
% 17.34/12.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB191, constB192)) | (~(((~v123(constB192, 2)) <=> v121(constB191, 2)) | ((~v123(constB192, 1)) <=> v121(constB191, 1)) | ((~v123(constB192, 0)) <=> v121(constB191, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB191, constB192)) | (~(((~v123(constB192, 2)) <=> v121(constB191, 2)) | ((~v123(constB192, 1)) <=> v121(constB191, 1)) | ((~v123(constB192, 0)) <=> v121(constB191, 0)))))),
% 17.34/12.51 inference(rewrite,[status(thm)],[])).
% 17.34/12.51 tff(32399,plain,
% 17.34/12.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB191, constB192)) | (~(((~v123(constB192, 2)) <=> v121(constB191, 2)) | ((~v123(constB192, 1)) <=> v121(constB191, 1)) | ((~v123(constB192, 0)) <=> v121(constB191, 0)))))),
% 17.34/12.51 inference(quant_inst,[status(thm)],[])).
% 17.34/12.51 tff(32400,plain,
% 17.34/12.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB191, constB192)) | (~(((~v123(constB192, 2)) <=> v121(constB191, 2)) | ((~v123(constB192, 1)) <=> v121(constB191, 1)) | ((~v123(constB192, 0)) <=> v121(constB191, 0))))),
% 17.34/12.51 inference(modus_ponens,[status(thm)],[32399, 32398])).
% 17.34/12.51 tff(32401,plain,
% 17.34/12.51 (~(((~v123(constB192, 2)) <=> v121(constB191, 2)) | ((~v123(constB192, 1)) <=> v121(constB191, 1)) | ((~v123(constB192, 0)) <=> v121(constB191, 0)))),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32400, 32397, 842])).
% 17.34/12.51 tff(32402,plain,
% 17.34/12.51 ((((~v123(constB192, 2)) <=> v121(constB191, 2)) | ((~v123(constB192, 1)) <=> v121(constB191, 1)) | ((~v123(constB192, 0)) <=> v121(constB191, 0))) | (~((~v123(constB192, 2)) <=> v121(constB191, 2)))),
% 17.34/12.51 inference(tautology,[status(thm)],[])).
% 17.34/12.51 tff(32403,plain,
% 17.34/12.51 (~((~v123(constB192, 2)) <=> v121(constB191, 2))),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32402, 32401])).
% 17.34/12.51 tff(32404,plain,
% 17.34/12.51 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB191) <=> v26(constB191))),
% 17.34/12.51 inference(quant_inst,[status(thm)],[])).
% 17.34/12.51 tff(32405,plain,
% 17.34/12.51 (v105(constB191) <=> v26(constB191)),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32404, 861])).
% 17.34/12.51 tff(32406,plain,
% 17.34/12.51 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB191))),
% 17.34/12.51 inference(quant_inst,[status(thm)],[])).
% 17.34/12.51 tff(32407,plain,
% 17.34/12.51 (~v26(constB191)),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32406, 873])).
% 17.34/12.51 tff(32408,plain,
% 17.34/12.51 ((~(v105(constB191) <=> v26(constB191))) | (~v105(constB191)) | v26(constB191)),
% 17.34/12.51 inference(tautology,[status(thm)],[])).
% 17.34/12.51 tff(32409,plain,
% 17.34/12.51 ((~(v105(constB191) <=> v26(constB191))) | (~v105(constB191))),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32408, 32407])).
% 17.34/12.51 tff(32410,plain,
% 17.34/12.51 (~v105(constB191)),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32409, 32405])).
% 17.34/12.51 tff(32411,plain,
% 17.34/12.51 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB191) | (~(((~v121(constB191, 2)) <=> v124(constB191, 2)) | ((~v121(constB191, 0)) <=> v124(constB191, 0)) | ((~v121(constB191, 1)) <=> v124(constB191, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB191) | (~(((~v121(constB191, 2)) <=> v124(constB191, 2)) | ((~v121(constB191, 0)) <=> v124(constB191, 0)) | ((~v121(constB191, 1)) <=> v124(constB191, 1)))))),
% 17.34/12.51 inference(rewrite,[status(thm)],[])).
% 17.34/12.51 tff(32412,plain,
% 17.34/12.51 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB191) | (~(((~v121(constB191, 2)) <=> v124(constB191, 2)) | ((~v121(constB191, 0)) <=> v124(constB191, 0)) | ((~v121(constB191, 1)) <=> v124(constB191, 1)))))),
% 17.34/12.51 inference(quant_inst,[status(thm)],[])).
% 17.34/12.51 tff(32413,plain,
% 17.34/12.51 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB191) | (~(((~v121(constB191, 2)) <=> v124(constB191, 2)) | ((~v121(constB191, 0)) <=> v124(constB191, 0)) | ((~v121(constB191, 1)) <=> v124(constB191, 1))))),
% 17.34/12.51 inference(modus_ponens,[status(thm)],[32412, 32411])).
% 17.34/12.51 tff(32414,plain,
% 17.34/12.51 (v105(constB191) | (~(((~v121(constB191, 2)) <=> v124(constB191, 2)) | ((~v121(constB191, 0)) <=> v124(constB191, 0)) | ((~v121(constB191, 1)) <=> v124(constB191, 1))))),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32413, 891])).
% 17.34/12.51 tff(32415,plain,
% 17.34/12.51 (~(((~v121(constB191, 2)) <=> v124(constB191, 2)) | ((~v121(constB191, 0)) <=> v124(constB191, 0)) | ((~v121(constB191, 1)) <=> v124(constB191, 1)))),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32414, 32410])).
% 17.34/12.51 tff(32416,plain,
% 17.34/12.51 ((((~v121(constB191, 2)) <=> v124(constB191, 2)) | ((~v121(constB191, 0)) <=> v124(constB191, 0)) | ((~v121(constB191, 1)) <=> v124(constB191, 1))) | (~((~v121(constB191, 2)) <=> v124(constB191, 2)))),
% 17.34/12.51 inference(tautology,[status(thm)],[])).
% 17.34/12.51 tff(32417,plain,
% 17.34/12.51 (~((~v121(constB191, 2)) <=> v124(constB191, 2))),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32416, 32415])).
% 17.34/12.51 tff(32418,plain,
% 17.34/12.51 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB191) <=> (~(v84(constB191, 2) | (~v84(constB191, 1)) | (~v84(constB191, 0)))))),
% 17.34/12.51 inference(quant_inst,[status(thm)],[])).
% 17.34/12.51 tff(32419,plain,
% 17.34/12.51 (v116(constB191) <=> (~(v84(constB191, 2) | (~v84(constB191, 1)) | (~v84(constB191, 0))))),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32418, 911])).
% 17.34/12.51 tff(32420,plain,
% 17.34/12.51 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 17.34/12.51 inference(rewrite,[status(thm)],[])).
% 17.34/12.51 tff(32421,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_190')).
% 17.34/12.51 tff(32422,plain,
% 17.34/12.51 (nextState(constB190, constB191)),
% 17.34/12.51 inference(modus_ponens,[status(thm)],[32421, 32420])).
% 17.34/12.51 tff(32423,plain,
% 17.34/12.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB190, constB191)) | (v94(constB191) <=> (~((~v95(constB191)) | (~v104(constB191))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB190, constB191)) | (v94(constB191) <=> (~((~v95(constB191)) | (~v104(constB191))))))),
% 17.34/12.51 inference(rewrite,[status(thm)],[])).
% 17.34/12.51 tff(32424,plain,
% 17.34/12.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB190, constB191)) | (v94(constB191) <=> (~((~v95(constB191)) | (~v104(constB191))))))),
% 17.34/12.51 inference(quant_inst,[status(thm)],[])).
% 17.34/12.51 tff(32425,plain,
% 17.34/12.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB190, constB191)) | (v94(constB191) <=> (~((~v95(constB191)) | (~v104(constB191)))))),
% 17.34/12.51 inference(modus_ponens,[status(thm)],[32424, 32423])).
% 17.34/12.51 tff(32426,plain,
% 17.34/12.51 (v94(constB191) <=> (~((~v95(constB191)) | (~v104(constB191))))),
% 17.34/12.51 inference(unit_resolution,[status(thm)],[32425, 32422, 770])).
% 17.34/12.51 tff(32427,plain,
% 17.34/12.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191))))))),
% 17.34/12.51 inference(rewrite,[status(thm)],[])).
% 17.34/12.51 tff(32428,plain,
% 17.34/12.51 (((~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v96(constB191)) | (~v1(constB191)))))) <=> ((~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191))))))),
% 17.34/12.52 inference(rewrite,[status(thm)],[])).
% 17.34/12.52 tff(32429,plain,
% 17.34/12.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v96(constB191)) | (~v1(constB191))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191)))))))),
% 17.34/12.52 inference(monotonicity,[status(thm)],[32428])).
% 17.34/12.52 tff(32430,plain,
% 17.34/12.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v96(constB191)) | (~v1(constB191))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191))))))),
% 17.34/12.52 inference(transitivity,[status(thm)],[32429, 32427])).
% 17.34/12.52 tff(32431,plain,
% 17.34/12.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v96(constB191)) | (~v1(constB191))))))),
% 17.34/12.52 inference(quant_inst,[status(thm)],[])).
% 17.34/12.52 tff(32432,plain,
% 17.34/12.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191)))))),
% 17.34/12.52 inference(modus_ponens,[status(thm)],[32431, 32430])).
% 17.34/12.52 tff(32433,plain,
% 17.34/12.52 (v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191))))),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32432, 32422, 790])).
% 17.34/12.52 tff(32434,plain,
% 17.34/12.52 ((~v1(constB191)) <=> (~v1(constB191))),
% 17.34/12.52 inference(rewrite,[status(thm)],[])).
% 17.34/12.52 tff(32435,axiom,(~v1(constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_191')).
% 17.34/12.52 tff(32436,plain,
% 17.34/12.52 (~v1(constB191)),
% 17.34/12.52 inference(modus_ponens,[status(thm)],[32435, 32434])).
% 17.34/12.52 tff(32437,plain,
% 17.34/12.52 (((~v1(constB191)) | (~v96(constB191))) | v1(constB191)),
% 17.34/12.52 inference(tautology,[status(thm)],[])).
% 17.34/12.52 tff(32438,plain,
% 17.34/12.52 ((~v1(constB191)) | (~v96(constB191))),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32437, 32436])).
% 17.34/12.52 tff(32439,plain,
% 17.34/12.52 ((~(v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191)))))) | (~v95(constB191)) | (~((~v1(constB191)) | (~v96(constB191))))),
% 17.34/12.52 inference(tautology,[status(thm)],[])).
% 17.34/12.52 tff(32440,plain,
% 17.34/12.52 ((~(v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191)))))) | (~v95(constB191))),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32439, 32438])).
% 17.34/12.52 tff(32441,plain,
% 17.34/12.52 (~v95(constB191)),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32440, 32433])).
% 17.34/12.52 tff(32442,plain,
% 17.34/12.52 (((~v95(constB191)) | (~v104(constB191))) | v95(constB191)),
% 17.34/12.52 inference(tautology,[status(thm)],[])).
% 17.34/12.52 tff(32443,plain,
% 17.34/12.52 ((~v95(constB191)) | (~v104(constB191))),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32442, 32441])).
% 17.34/12.52 tff(32444,plain,
% 17.34/12.52 ((~(v94(constB191) <=> (~((~v95(constB191)) | (~v104(constB191)))))) | (~v94(constB191)) | (~((~v95(constB191)) | (~v104(constB191))))),
% 17.34/12.52 inference(tautology,[status(thm)],[])).
% 17.34/12.52 tff(32445,plain,
% 17.34/12.52 (~v94(constB191)),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32444, 32443, 32426])).
% 17.34/12.52 tff(32446,plain,
% 17.34/12.52 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB191) | (~nextState(constB190, constB191)) | (~(((~v84(constB191, 1)) <=> v84(constB190, 1)) | ((~v84(constB191, 2)) <=> v84(constB190, 2)) | ((~v84(constB191, 0)) <=> v84(constB190, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB191) | (~nextState(constB190, constB191)) | (~(((~v84(constB191, 1)) <=> v84(constB190, 1)) | ((~v84(constB191, 2)) <=> v84(constB190, 2)) | ((~v84(constB191, 0)) <=> v84(constB190, 0)))))),
% 17.34/12.52 inference(rewrite,[status(thm)],[])).
% 17.34/12.52 tff(32447,plain,
% 17.34/12.52 ((v94(constB191) | (~nextState(constB190, constB191)) | (~(((~v84(constB191, 2)) <=> v84(constB190, 2)) | ((~v84(constB191, 1)) <=> v84(constB190, 1)) | ((~v84(constB191, 0)) <=> v84(constB190, 0))))) <=> (v94(constB191) | (~nextState(constB190, constB191)) | (~(((~v84(constB191, 1)) <=> v84(constB190, 1)) | ((~v84(constB191, 2)) <=> v84(constB190, 2)) | ((~v84(constB191, 0)) <=> v84(constB190, 0)))))),
% 17.34/12.52 inference(rewrite,[status(thm)],[])).
% 17.34/12.52 tff(32448,plain,
% 17.34/12.52 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB191) | (~nextState(constB190, constB191)) | (~(((~v84(constB191, 2)) <=> v84(constB190, 2)) | ((~v84(constB191, 1)) <=> v84(constB190, 1)) | ((~v84(constB191, 0)) <=> v84(constB190, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB191) | (~nextState(constB190, constB191)) | (~(((~v84(constB191, 1)) <=> v84(constB190, 1)) | ((~v84(constB191, 2)) <=> v84(constB190, 2)) | ((~v84(constB191, 0)) <=> v84(constB190, 0))))))),
% 17.34/12.52 inference(monotonicity,[status(thm)],[32447])).
% 17.34/12.52 tff(32449,plain,
% 17.34/12.52 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB191) | (~nextState(constB190, constB191)) | (~(((~v84(constB191, 2)) <=> v84(constB190, 2)) | ((~v84(constB191, 1)) <=> v84(constB190, 1)) | ((~v84(constB191, 0)) <=> v84(constB190, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB191) | (~nextState(constB190, constB191)) | (~(((~v84(constB191, 1)) <=> v84(constB190, 1)) | ((~v84(constB191, 2)) <=> v84(constB190, 2)) | ((~v84(constB191, 0)) <=> v84(constB190, 0)))))),
% 17.34/12.52 inference(transitivity,[status(thm)],[32448, 32446])).
% 17.34/12.52 tff(32450,plain,
% 17.34/12.52 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB191) | (~nextState(constB190, constB191)) | (~(((~v84(constB191, 2)) <=> v84(constB190, 2)) | ((~v84(constB191, 1)) <=> v84(constB190, 1)) | ((~v84(constB191, 0)) <=> v84(constB190, 0)))))),
% 17.34/12.52 inference(quant_inst,[status(thm)],[])).
% 17.34/12.52 tff(32451,plain,
% 17.34/12.52 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB191) | (~nextState(constB190, constB191)) | (~(((~v84(constB191, 1)) <=> v84(constB190, 1)) | ((~v84(constB191, 2)) <=> v84(constB190, 2)) | ((~v84(constB191, 0)) <=> v84(constB190, 0))))),
% 17.34/12.52 inference(modus_ponens,[status(thm)],[32450, 32449])).
% 17.34/12.52 tff(32452,plain,
% 17.34/12.52 (v94(constB191) | (~(((~v84(constB191, 1)) <=> v84(constB190, 1)) | ((~v84(constB191, 2)) <=> v84(constB190, 2)) | ((~v84(constB191, 0)) <=> v84(constB190, 0))))),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32451, 32422, 819])).
% 17.34/12.52 tff(32453,plain,
% 17.34/12.52 (~(((~v84(constB191, 1)) <=> v84(constB190, 1)) | ((~v84(constB191, 2)) <=> v84(constB190, 2)) | ((~v84(constB191, 0)) <=> v84(constB190, 0)))),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32452, 32445])).
% 17.34/12.52 tff(32454,plain,
% 17.34/12.52 ((((~v84(constB191, 1)) <=> v84(constB190, 1)) | ((~v84(constB191, 2)) <=> v84(constB190, 2)) | ((~v84(constB191, 0)) <=> v84(constB190, 0))) | (~((~v84(constB191, 2)) <=> v84(constB190, 2)))),
% 17.34/12.52 inference(tautology,[status(thm)],[])).
% 17.34/12.52 tff(32455,plain,
% 17.34/12.52 (~((~v84(constB191, 2)) <=> v84(constB190, 2))),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32454, 32453])).
% 17.34/12.52 tff(32456,plain,
% 17.34/12.52 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 17.34/12.52 inference(rewrite,[status(thm)],[])).
% 17.34/12.52 tff(32457,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_189')).
% 17.34/12.52 tff(32458,plain,
% 17.34/12.52 (nextState(constB189, constB190)),
% 17.34/12.52 inference(modus_ponens,[status(thm)],[32457, 32456])).
% 17.34/12.52 tff(32459,plain,
% 17.34/12.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB189, constB190)) | (~(((~v123(constB190, 2)) <=> v121(constB189, 2)) | ((~v123(constB190, 1)) <=> v121(constB189, 1)) | ((~v123(constB190, 0)) <=> v121(constB189, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB189, constB190)) | (~(((~v123(constB190, 2)) <=> v121(constB189, 2)) | ((~v123(constB190, 1)) <=> v121(constB189, 1)) | ((~v123(constB190, 0)) <=> v121(constB189, 0)))))),
% 17.34/12.52 inference(rewrite,[status(thm)],[])).
% 17.34/12.52 tff(32460,plain,
% 17.34/12.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB189, constB190)) | (~(((~v123(constB190, 2)) <=> v121(constB189, 2)) | ((~v123(constB190, 1)) <=> v121(constB189, 1)) | ((~v123(constB190, 0)) <=> v121(constB189, 0)))))),
% 17.34/12.52 inference(quant_inst,[status(thm)],[])).
% 17.34/12.52 tff(32461,plain,
% 17.34/12.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB189, constB190)) | (~(((~v123(constB190, 2)) <=> v121(constB189, 2)) | ((~v123(constB190, 1)) <=> v121(constB189, 1)) | ((~v123(constB190, 0)) <=> v121(constB189, 0))))),
% 17.34/12.52 inference(modus_ponens,[status(thm)],[32460, 32459])).
% 17.34/12.52 tff(32462,plain,
% 17.34/12.52 (~(((~v123(constB190, 2)) <=> v121(constB189, 2)) | ((~v123(constB190, 1)) <=> v121(constB189, 1)) | ((~v123(constB190, 0)) <=> v121(constB189, 0)))),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32461, 32458, 842])).
% 17.34/12.52 tff(32463,plain,
% 17.34/12.52 ((((~v123(constB190, 2)) <=> v121(constB189, 2)) | ((~v123(constB190, 1)) <=> v121(constB189, 1)) | ((~v123(constB190, 0)) <=> v121(constB189, 0))) | (~((~v123(constB190, 2)) <=> v121(constB189, 2)))),
% 17.34/12.52 inference(tautology,[status(thm)],[])).
% 17.34/12.52 tff(32464,plain,
% 17.34/12.52 (~((~v123(constB190, 2)) <=> v121(constB189, 2))),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32463, 32462])).
% 17.34/12.52 tff(32465,plain,
% 17.34/12.52 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB189) <=> v26(constB189))),
% 17.34/12.52 inference(quant_inst,[status(thm)],[])).
% 17.34/12.52 tff(32466,plain,
% 17.34/12.52 (v105(constB189) <=> v26(constB189)),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32465, 861])).
% 17.34/12.52 tff(32467,plain,
% 17.34/12.52 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB189))),
% 17.34/12.52 inference(quant_inst,[status(thm)],[])).
% 17.34/12.52 tff(32468,plain,
% 17.34/12.52 (~v26(constB189)),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32467, 873])).
% 17.34/12.52 tff(32469,plain,
% 17.34/12.52 ((~(v105(constB189) <=> v26(constB189))) | (~v105(constB189)) | v26(constB189)),
% 17.34/12.52 inference(tautology,[status(thm)],[])).
% 17.34/12.52 tff(32470,plain,
% 17.34/12.52 ((~(v105(constB189) <=> v26(constB189))) | (~v105(constB189))),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32469, 32468])).
% 17.34/12.52 tff(32471,plain,
% 17.34/12.52 (~v105(constB189)),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32470, 32466])).
% 17.34/12.52 tff(32472,plain,
% 17.34/12.52 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB189) | (~(((~v121(constB189, 2)) <=> v124(constB189, 2)) | ((~v121(constB189, 0)) <=> v124(constB189, 0)) | ((~v121(constB189, 1)) <=> v124(constB189, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB189) | (~(((~v121(constB189, 2)) <=> v124(constB189, 2)) | ((~v121(constB189, 0)) <=> v124(constB189, 0)) | ((~v121(constB189, 1)) <=> v124(constB189, 1)))))),
% 17.34/12.52 inference(rewrite,[status(thm)],[])).
% 17.34/12.52 tff(32473,plain,
% 17.34/12.52 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB189) | (~(((~v121(constB189, 2)) <=> v124(constB189, 2)) | ((~v121(constB189, 0)) <=> v124(constB189, 0)) | ((~v121(constB189, 1)) <=> v124(constB189, 1)))))),
% 17.34/12.52 inference(quant_inst,[status(thm)],[])).
% 17.34/12.52 tff(32474,plain,
% 17.34/12.52 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB189) | (~(((~v121(constB189, 2)) <=> v124(constB189, 2)) | ((~v121(constB189, 0)) <=> v124(constB189, 0)) | ((~v121(constB189, 1)) <=> v124(constB189, 1))))),
% 17.34/12.52 inference(modus_ponens,[status(thm)],[32473, 32472])).
% 17.34/12.52 tff(32475,plain,
% 17.34/12.52 (v105(constB189) | (~(((~v121(constB189, 2)) <=> v124(constB189, 2)) | ((~v121(constB189, 0)) <=> v124(constB189, 0)) | ((~v121(constB189, 1)) <=> v124(constB189, 1))))),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32474, 891])).
% 17.34/12.52 tff(32476,plain,
% 17.34/12.52 (~(((~v121(constB189, 2)) <=> v124(constB189, 2)) | ((~v121(constB189, 0)) <=> v124(constB189, 0)) | ((~v121(constB189, 1)) <=> v124(constB189, 1)))),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32475, 32471])).
% 17.34/12.52 tff(32477,plain,
% 17.34/12.52 ((((~v121(constB189, 2)) <=> v124(constB189, 2)) | ((~v121(constB189, 0)) <=> v124(constB189, 0)) | ((~v121(constB189, 1)) <=> v124(constB189, 1))) | (~((~v121(constB189, 2)) <=> v124(constB189, 2)))),
% 17.34/12.52 inference(tautology,[status(thm)],[])).
% 17.34/12.52 tff(32478,plain,
% 17.34/12.52 (~((~v121(constB189, 2)) <=> v124(constB189, 2))),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32477, 32476])).
% 17.34/12.52 tff(32479,plain,
% 17.34/12.52 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB189) <=> (~(v84(constB189, 2) | v84(constB189, 0) | (~v84(constB189, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB189) <=> (~(v84(constB189, 2) | v84(constB189, 0) | (~v84(constB189, 1))))))),
% 17.34/12.52 inference(rewrite,[status(thm)],[])).
% 17.34/12.52 tff(32480,plain,
% 17.34/12.52 ((v115(constB189) <=> (~(v84(constB189, 0) | v84(constB189, 2) | (~v84(constB189, 1))))) <=> (v115(constB189) <=> (~(v84(constB189, 2) | v84(constB189, 0) | (~v84(constB189, 1)))))),
% 17.34/12.52 inference(rewrite,[status(thm)],[])).
% 17.34/12.52 tff(32481,plain,
% 17.34/12.52 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB189) <=> (~(v84(constB189, 0) | v84(constB189, 2) | (~v84(constB189, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB189) <=> (~(v84(constB189, 2) | v84(constB189, 0) | (~v84(constB189, 1))))))),
% 17.34/12.52 inference(monotonicity,[status(thm)],[32480])).
% 17.34/12.52 tff(32482,plain,
% 17.34/12.52 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB189) <=> (~(v84(constB189, 0) | v84(constB189, 2) | (~v84(constB189, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB189) <=> (~(v84(constB189, 2) | v84(constB189, 0) | (~v84(constB189, 1))))))),
% 17.34/12.52 inference(transitivity,[status(thm)],[32481, 32479])).
% 17.34/12.52 tff(32483,plain,
% 17.34/12.52 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB189) <=> (~(v84(constB189, 0) | v84(constB189, 2) | (~v84(constB189, 1)))))),
% 17.34/12.52 inference(quant_inst,[status(thm)],[])).
% 17.34/12.52 tff(32484,plain,
% 17.34/12.52 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB189) <=> (~(v84(constB189, 2) | v84(constB189, 0) | (~v84(constB189, 1)))))),
% 17.34/12.52 inference(modus_ponens,[status(thm)],[32483, 32482])).
% 17.34/12.52 tff(32485,plain,
% 17.34/12.52 (v115(constB189) <=> (~(v84(constB189, 2) | v84(constB189, 0) | (~v84(constB189, 1))))),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32484, 985])).
% 17.34/12.52 tff(32486,plain,
% 17.34/12.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB188, constB189)) | (v94(constB189) <=> (~((~v95(constB189)) | (~v104(constB189))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB188, constB189)) | (v94(constB189) <=> (~((~v95(constB189)) | (~v104(constB189))))))),
% 17.34/12.52 inference(rewrite,[status(thm)],[])).
% 17.34/12.52 tff(32487,plain,
% 17.34/12.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB188, constB189)) | (v94(constB189) <=> (~((~v95(constB189)) | (~v104(constB189))))))),
% 17.34/12.52 inference(quant_inst,[status(thm)],[])).
% 17.34/12.52 tff(32488,plain,
% 17.34/12.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB188, constB189)) | (v94(constB189) <=> (~((~v95(constB189)) | (~v104(constB189)))))),
% 17.34/12.52 inference(modus_ponens,[status(thm)],[32487, 32486])).
% 17.34/12.52 tff(32489,plain,
% 17.34/12.52 (v94(constB189) <=> (~((~v95(constB189)) | (~v104(constB189))))),
% 17.34/12.52 inference(unit_resolution,[status(thm)],[32488, 21888, 770])).
% 17.34/12.52 tff(32490,plain,
% 17.34/12.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189))))))),
% 17.34/12.52 inference(rewrite,[status(thm)],[])).
% 17.34/12.52 tff(32491,plain,
% 17.34/12.52 (((~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v96(constB189)) | (~v1(constB189)))))) <=> ((~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189))))))),
% 17.34/12.52 inference(rewrite,[status(thm)],[])).
% 17.34/12.52 tff(32492,plain,
% 17.34/12.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v96(constB189)) | (~v1(constB189))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189)))))))),
% 17.34/12.52 inference(monotonicity,[status(thm)],[32491])).
% 17.34/12.52 tff(32493,plain,
% 17.34/12.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v96(constB189)) | (~v1(constB189))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189))))))),
% 17.34/12.53 inference(transitivity,[status(thm)],[32492, 32490])).
% 17.34/12.53 tff(32494,plain,
% 17.34/12.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v96(constB189)) | (~v1(constB189))))))),
% 17.34/12.53 inference(quant_inst,[status(thm)],[])).
% 17.34/12.53 tff(32495,plain,
% 17.34/12.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189)))))),
% 17.34/12.53 inference(modus_ponens,[status(thm)],[32494, 32493])).
% 17.34/12.53 tff(32496,plain,
% 17.34/12.53 (v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189))))),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32495, 21888, 790])).
% 17.34/12.53 tff(32497,plain,
% 17.34/12.53 ((~v1(constB189)) <=> (~v1(constB189))),
% 17.34/12.53 inference(rewrite,[status(thm)],[])).
% 17.34/12.53 tff(32498,axiom,(~v1(constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_189')).
% 17.34/12.53 tff(32499,plain,
% 17.34/12.53 (~v1(constB189)),
% 17.34/12.53 inference(modus_ponens,[status(thm)],[32498, 32497])).
% 17.34/12.53 tff(32500,plain,
% 17.34/12.53 (((~v1(constB189)) | (~v96(constB189))) | v1(constB189)),
% 17.34/12.53 inference(tautology,[status(thm)],[])).
% 17.34/12.53 tff(32501,plain,
% 17.34/12.53 ((~v1(constB189)) | (~v96(constB189))),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32500, 32499])).
% 17.34/12.53 tff(32502,plain,
% 17.34/12.53 ((~(v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189)))))) | (~v95(constB189)) | (~((~v1(constB189)) | (~v96(constB189))))),
% 17.34/12.53 inference(tautology,[status(thm)],[])).
% 17.34/12.53 tff(32503,plain,
% 17.34/12.53 ((~(v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189)))))) | (~v95(constB189))),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32502, 32501])).
% 17.34/12.53 tff(32504,plain,
% 17.34/12.53 (~v95(constB189)),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32503, 32496])).
% 17.34/12.53 tff(32505,plain,
% 17.34/12.53 (((~v95(constB189)) | (~v104(constB189))) | v95(constB189)),
% 17.34/12.53 inference(tautology,[status(thm)],[])).
% 17.34/12.53 tff(32506,plain,
% 17.34/12.53 ((~v95(constB189)) | (~v104(constB189))),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32505, 32504])).
% 17.34/12.53 tff(32507,plain,
% 17.34/12.53 ((~(v94(constB189) <=> (~((~v95(constB189)) | (~v104(constB189)))))) | (~v94(constB189)) | (~((~v95(constB189)) | (~v104(constB189))))),
% 17.34/12.53 inference(tautology,[status(thm)],[])).
% 17.34/12.53 tff(32508,plain,
% 17.34/12.53 (~v94(constB189)),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32507, 32506, 32489])).
% 17.34/12.53 tff(32509,plain,
% 17.34/12.53 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB189) | (~nextState(constB188, constB189)) | (~(((~v84(constB189, 1)) <=> v84(constB188, 1)) | ((~v84(constB189, 2)) <=> v84(constB188, 2)) | ((~v84(constB189, 0)) <=> v84(constB188, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB189) | (~nextState(constB188, constB189)) | (~(((~v84(constB189, 1)) <=> v84(constB188, 1)) | ((~v84(constB189, 2)) <=> v84(constB188, 2)) | ((~v84(constB189, 0)) <=> v84(constB188, 0)))))),
% 17.34/12.53 inference(rewrite,[status(thm)],[])).
% 17.34/12.53 tff(32510,plain,
% 17.34/12.53 ((v94(constB189) | (~nextState(constB188, constB189)) | (~(((~v84(constB189, 2)) <=> v84(constB188, 2)) | ((~v84(constB189, 1)) <=> v84(constB188, 1)) | ((~v84(constB189, 0)) <=> v84(constB188, 0))))) <=> (v94(constB189) | (~nextState(constB188, constB189)) | (~(((~v84(constB189, 1)) <=> v84(constB188, 1)) | ((~v84(constB189, 2)) <=> v84(constB188, 2)) | ((~v84(constB189, 0)) <=> v84(constB188, 0)))))),
% 17.34/12.53 inference(rewrite,[status(thm)],[])).
% 17.34/12.53 tff(32511,plain,
% 17.34/12.53 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB189) | (~nextState(constB188, constB189)) | (~(((~v84(constB189, 2)) <=> v84(constB188, 2)) | ((~v84(constB189, 1)) <=> v84(constB188, 1)) | ((~v84(constB189, 0)) <=> v84(constB188, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB189) | (~nextState(constB188, constB189)) | (~(((~v84(constB189, 1)) <=> v84(constB188, 1)) | ((~v84(constB189, 2)) <=> v84(constB188, 2)) | ((~v84(constB189, 0)) <=> v84(constB188, 0))))))),
% 17.34/12.53 inference(monotonicity,[status(thm)],[32510])).
% 17.34/12.53 tff(32512,plain,
% 17.34/12.53 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB189) | (~nextState(constB188, constB189)) | (~(((~v84(constB189, 2)) <=> v84(constB188, 2)) | ((~v84(constB189, 1)) <=> v84(constB188, 1)) | ((~v84(constB189, 0)) <=> v84(constB188, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB189) | (~nextState(constB188, constB189)) | (~(((~v84(constB189, 1)) <=> v84(constB188, 1)) | ((~v84(constB189, 2)) <=> v84(constB188, 2)) | ((~v84(constB189, 0)) <=> v84(constB188, 0)))))),
% 17.34/12.53 inference(transitivity,[status(thm)],[32511, 32509])).
% 17.34/12.53 tff(32513,plain,
% 17.34/12.53 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB189) | (~nextState(constB188, constB189)) | (~(((~v84(constB189, 2)) <=> v84(constB188, 2)) | ((~v84(constB189, 1)) <=> v84(constB188, 1)) | ((~v84(constB189, 0)) <=> v84(constB188, 0)))))),
% 17.34/12.53 inference(quant_inst,[status(thm)],[])).
% 17.34/12.53 tff(32514,plain,
% 17.34/12.53 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB189) | (~nextState(constB188, constB189)) | (~(((~v84(constB189, 1)) <=> v84(constB188, 1)) | ((~v84(constB189, 2)) <=> v84(constB188, 2)) | ((~v84(constB189, 0)) <=> v84(constB188, 0))))),
% 17.34/12.53 inference(modus_ponens,[status(thm)],[32513, 32512])).
% 17.34/12.53 tff(32515,plain,
% 17.34/12.53 (v94(constB189) | (~(((~v84(constB189, 1)) <=> v84(constB188, 1)) | ((~v84(constB189, 2)) <=> v84(constB188, 2)) | ((~v84(constB189, 0)) <=> v84(constB188, 0))))),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32514, 21888, 819])).
% 17.34/12.53 tff(32516,plain,
% 17.34/12.53 (~(((~v84(constB189, 1)) <=> v84(constB188, 1)) | ((~v84(constB189, 2)) <=> v84(constB188, 2)) | ((~v84(constB189, 0)) <=> v84(constB188, 0)))),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32515, 32508])).
% 17.34/12.53 tff(32517,plain,
% 17.34/12.53 ((((~v84(constB189, 1)) <=> v84(constB188, 1)) | ((~v84(constB189, 2)) <=> v84(constB188, 2)) | ((~v84(constB189, 0)) <=> v84(constB188, 0))) | (~((~v84(constB189, 2)) <=> v84(constB188, 2)))),
% 17.34/12.53 inference(tautology,[status(thm)],[])).
% 17.34/12.53 tff(32518,plain,
% 17.34/12.53 (~((~v84(constB189, 2)) <=> v84(constB188, 2))),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32517, 32516])).
% 17.34/12.53 tff(32519,plain,
% 17.34/12.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB187, constB188)) | (~(((~v123(constB188, 2)) <=> v121(constB187, 2)) | ((~v123(constB188, 1)) <=> v121(constB187, 1)) | ((~v123(constB188, 0)) <=> v121(constB187, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB187, constB188)) | (~(((~v123(constB188, 2)) <=> v121(constB187, 2)) | ((~v123(constB188, 1)) <=> v121(constB187, 1)) | ((~v123(constB188, 0)) <=> v121(constB187, 0)))))),
% 17.34/12.53 inference(rewrite,[status(thm)],[])).
% 17.34/12.53 tff(32520,plain,
% 17.34/12.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB187, constB188)) | (~(((~v123(constB188, 2)) <=> v121(constB187, 2)) | ((~v123(constB188, 1)) <=> v121(constB187, 1)) | ((~v123(constB188, 0)) <=> v121(constB187, 0)))))),
% 17.34/12.53 inference(quant_inst,[status(thm)],[])).
% 17.34/12.53 tff(32521,plain,
% 17.34/12.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB187, constB188)) | (~(((~v123(constB188, 2)) <=> v121(constB187, 2)) | ((~v123(constB188, 1)) <=> v121(constB187, 1)) | ((~v123(constB188, 0)) <=> v121(constB187, 0))))),
% 17.34/12.53 inference(modus_ponens,[status(thm)],[32520, 32519])).
% 17.34/12.53 tff(32522,plain,
% 17.34/12.53 (~(((~v123(constB188, 2)) <=> v121(constB187, 2)) | ((~v123(constB188, 1)) <=> v121(constB187, 1)) | ((~v123(constB188, 0)) <=> v121(constB187, 0)))),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32521, 21944, 842])).
% 17.34/12.53 tff(32523,plain,
% 17.34/12.53 ((((~v123(constB188, 2)) <=> v121(constB187, 2)) | ((~v123(constB188, 1)) <=> v121(constB187, 1)) | ((~v123(constB188, 0)) <=> v121(constB187, 0))) | (~((~v123(constB188, 2)) <=> v121(constB187, 2)))),
% 17.34/12.53 inference(tautology,[status(thm)],[])).
% 17.34/12.53 tff(32524,plain,
% 17.34/12.53 (~((~v123(constB188, 2)) <=> v121(constB187, 2))),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32523, 32522])).
% 17.34/12.53 tff(32525,plain,
% 17.34/12.53 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB187) <=> v26(constB187))),
% 17.34/12.53 inference(quant_inst,[status(thm)],[])).
% 17.34/12.53 tff(32526,plain,
% 17.34/12.53 (v105(constB187) <=> v26(constB187)),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32525, 861])).
% 17.34/12.53 tff(32527,plain,
% 17.34/12.53 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB187))),
% 17.34/12.53 inference(quant_inst,[status(thm)],[])).
% 17.34/12.53 tff(32528,plain,
% 17.34/12.53 (~v26(constB187)),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32527, 873])).
% 17.34/12.53 tff(32529,plain,
% 17.34/12.53 ((~(v105(constB187) <=> v26(constB187))) | (~v105(constB187)) | v26(constB187)),
% 17.34/12.53 inference(tautology,[status(thm)],[])).
% 17.34/12.53 tff(32530,plain,
% 17.34/12.53 ((~(v105(constB187) <=> v26(constB187))) | (~v105(constB187))),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32529, 32528])).
% 17.34/12.53 tff(32531,plain,
% 17.34/12.53 (~v105(constB187)),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32530, 32526])).
% 17.34/12.53 tff(32532,plain,
% 17.34/12.53 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB187) | (~(((~v121(constB187, 2)) <=> v124(constB187, 2)) | ((~v121(constB187, 0)) <=> v124(constB187, 0)) | ((~v121(constB187, 1)) <=> v124(constB187, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB187) | (~(((~v121(constB187, 2)) <=> v124(constB187, 2)) | ((~v121(constB187, 0)) <=> v124(constB187, 0)) | ((~v121(constB187, 1)) <=> v124(constB187, 1)))))),
% 17.34/12.53 inference(rewrite,[status(thm)],[])).
% 17.34/12.53 tff(32533,plain,
% 17.34/12.53 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB187) | (~(((~v121(constB187, 2)) <=> v124(constB187, 2)) | ((~v121(constB187, 0)) <=> v124(constB187, 0)) | ((~v121(constB187, 1)) <=> v124(constB187, 1)))))),
% 17.34/12.53 inference(quant_inst,[status(thm)],[])).
% 17.34/12.53 tff(32534,plain,
% 17.34/12.53 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB187) | (~(((~v121(constB187, 2)) <=> v124(constB187, 2)) | ((~v121(constB187, 0)) <=> v124(constB187, 0)) | ((~v121(constB187, 1)) <=> v124(constB187, 1))))),
% 17.34/12.53 inference(modus_ponens,[status(thm)],[32533, 32532])).
% 17.34/12.53 tff(32535,plain,
% 17.34/12.53 (v105(constB187) | (~(((~v121(constB187, 2)) <=> v124(constB187, 2)) | ((~v121(constB187, 0)) <=> v124(constB187, 0)) | ((~v121(constB187, 1)) <=> v124(constB187, 1))))),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32534, 891])).
% 17.34/12.53 tff(32536,plain,
% 17.34/12.53 (~(((~v121(constB187, 2)) <=> v124(constB187, 2)) | ((~v121(constB187, 0)) <=> v124(constB187, 0)) | ((~v121(constB187, 1)) <=> v124(constB187, 1)))),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32535, 32531])).
% 17.34/12.53 tff(32537,plain,
% 17.34/12.53 ((((~v121(constB187, 2)) <=> v124(constB187, 2)) | ((~v121(constB187, 0)) <=> v124(constB187, 0)) | ((~v121(constB187, 1)) <=> v124(constB187, 1))) | (~((~v121(constB187, 2)) <=> v124(constB187, 2)))),
% 17.34/12.53 inference(tautology,[status(thm)],[])).
% 17.34/12.53 tff(32538,plain,
% 17.34/12.53 (~((~v121(constB187, 2)) <=> v124(constB187, 2))),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32537, 32536])).
% 17.34/12.53 tff(32539,plain,
% 17.34/12.53 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB187) <=> (~(v84(constB187, 1) | v84(constB187, 2) | (~v84(constB187, 0)))))),
% 17.34/12.53 inference(quant_inst,[status(thm)],[])).
% 17.34/12.53 tff(32540,plain,
% 17.34/12.53 (v114(constB187) <=> (~(v84(constB187, 1) | v84(constB187, 2) | (~v84(constB187, 0))))),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32539, 1064])).
% 17.34/12.53 tff(32541,plain,
% 17.34/12.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB186, constB187)) | (v94(constB187) <=> (~((~v95(constB187)) | (~v104(constB187))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB186, constB187)) | (v94(constB187) <=> (~((~v95(constB187)) | (~v104(constB187))))))),
% 17.34/12.53 inference(rewrite,[status(thm)],[])).
% 17.34/12.53 tff(32542,plain,
% 17.34/12.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB186, constB187)) | (v94(constB187) <=> (~((~v95(constB187)) | (~v104(constB187))))))),
% 17.34/12.53 inference(quant_inst,[status(thm)],[])).
% 17.34/12.53 tff(32543,plain,
% 17.34/12.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB186, constB187)) | (v94(constB187) <=> (~((~v95(constB187)) | (~v104(constB187)))))),
% 17.34/12.53 inference(modus_ponens,[status(thm)],[32542, 32541])).
% 17.34/12.53 tff(32544,plain,
% 17.34/12.53 (v94(constB187) <=> (~((~v95(constB187)) | (~v104(constB187))))),
% 17.34/12.53 inference(unit_resolution,[status(thm)],[32543, 22038, 770])).
% 17.34/12.53 tff(32545,plain,
% 17.34/12.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187))))))),
% 17.34/12.53 inference(rewrite,[status(thm)],[])).
% 17.34/12.53 tff(32546,plain,
% 17.34/12.53 (((~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v96(constB187)) | (~v1(constB187)))))) <=> ((~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187))))))),
% 17.34/12.54 inference(rewrite,[status(thm)],[])).
% 17.34/12.54 tff(32547,plain,
% 17.34/12.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v96(constB187)) | (~v1(constB187))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187)))))))),
% 17.34/12.54 inference(monotonicity,[status(thm)],[32546])).
% 17.34/12.54 tff(32548,plain,
% 17.34/12.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v96(constB187)) | (~v1(constB187))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187))))))),
% 17.34/12.54 inference(transitivity,[status(thm)],[32547, 32545])).
% 17.34/12.54 tff(32549,plain,
% 17.34/12.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v96(constB187)) | (~v1(constB187))))))),
% 17.34/12.54 inference(quant_inst,[status(thm)],[])).
% 17.34/12.54 tff(32550,plain,
% 17.34/12.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187)))))),
% 17.34/12.54 inference(modus_ponens,[status(thm)],[32549, 32548])).
% 17.34/12.54 tff(32551,plain,
% 17.34/12.54 (v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187))))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32550, 22038, 790])).
% 17.34/12.54 tff(32552,plain,
% 17.34/12.54 (((~v1(constB187)) | (~v96(constB187))) | v1(constB187)),
% 17.34/12.54 inference(tautology,[status(thm)],[])).
% 17.34/12.54 tff(32553,plain,
% 17.34/12.54 ((~v1(constB187)) | (~v96(constB187))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32552, 22008])).
% 17.34/12.54 tff(32554,plain,
% 17.34/12.54 ((~(v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187)))))) | (~v95(constB187)) | (~((~v1(constB187)) | (~v96(constB187))))),
% 17.34/12.54 inference(tautology,[status(thm)],[])).
% 17.34/12.54 tff(32555,plain,
% 17.34/12.54 ((~(v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187)))))) | (~v95(constB187))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32554, 32553])).
% 17.34/12.54 tff(32556,plain,
% 17.34/12.54 (~v95(constB187)),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32555, 32551])).
% 17.34/12.54 tff(32557,plain,
% 17.34/12.54 (((~v95(constB187)) | (~v104(constB187))) | v95(constB187)),
% 17.34/12.54 inference(tautology,[status(thm)],[])).
% 17.34/12.54 tff(32558,plain,
% 17.34/12.54 ((~v95(constB187)) | (~v104(constB187))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32557, 32556])).
% 17.34/12.54 tff(32559,plain,
% 17.34/12.54 ((~(v94(constB187) <=> (~((~v95(constB187)) | (~v104(constB187)))))) | (~v94(constB187)) | (~((~v95(constB187)) | (~v104(constB187))))),
% 17.34/12.54 inference(tautology,[status(thm)],[])).
% 17.34/12.54 tff(32560,plain,
% 17.34/12.54 (~v94(constB187)),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32559, 32558, 32544])).
% 17.34/12.54 tff(32561,plain,
% 17.34/12.54 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB187) | (~nextState(constB186, constB187)) | (~(((~v84(constB187, 1)) <=> v84(constB186, 1)) | ((~v84(constB187, 2)) <=> v84(constB186, 2)) | ((~v84(constB187, 0)) <=> v84(constB186, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB187) | (~nextState(constB186, constB187)) | (~(((~v84(constB187, 1)) <=> v84(constB186, 1)) | ((~v84(constB187, 2)) <=> v84(constB186, 2)) | ((~v84(constB187, 0)) <=> v84(constB186, 0)))))),
% 17.34/12.54 inference(rewrite,[status(thm)],[])).
% 17.34/12.54 tff(32562,plain,
% 17.34/12.54 ((v94(constB187) | (~nextState(constB186, constB187)) | (~(((~v84(constB187, 2)) <=> v84(constB186, 2)) | ((~v84(constB187, 1)) <=> v84(constB186, 1)) | ((~v84(constB187, 0)) <=> v84(constB186, 0))))) <=> (v94(constB187) | (~nextState(constB186, constB187)) | (~(((~v84(constB187, 1)) <=> v84(constB186, 1)) | ((~v84(constB187, 2)) <=> v84(constB186, 2)) | ((~v84(constB187, 0)) <=> v84(constB186, 0)))))),
% 17.34/12.54 inference(rewrite,[status(thm)],[])).
% 17.34/12.54 tff(32563,plain,
% 17.34/12.54 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB187) | (~nextState(constB186, constB187)) | (~(((~v84(constB187, 2)) <=> v84(constB186, 2)) | ((~v84(constB187, 1)) <=> v84(constB186, 1)) | ((~v84(constB187, 0)) <=> v84(constB186, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB187) | (~nextState(constB186, constB187)) | (~(((~v84(constB187, 1)) <=> v84(constB186, 1)) | ((~v84(constB187, 2)) <=> v84(constB186, 2)) | ((~v84(constB187, 0)) <=> v84(constB186, 0))))))),
% 17.34/12.54 inference(monotonicity,[status(thm)],[32562])).
% 17.34/12.54 tff(32564,plain,
% 17.34/12.54 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB187) | (~nextState(constB186, constB187)) | (~(((~v84(constB187, 2)) <=> v84(constB186, 2)) | ((~v84(constB187, 1)) <=> v84(constB186, 1)) | ((~v84(constB187, 0)) <=> v84(constB186, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB187) | (~nextState(constB186, constB187)) | (~(((~v84(constB187, 1)) <=> v84(constB186, 1)) | ((~v84(constB187, 2)) <=> v84(constB186, 2)) | ((~v84(constB187, 0)) <=> v84(constB186, 0)))))),
% 17.34/12.54 inference(transitivity,[status(thm)],[32563, 32561])).
% 17.34/12.54 tff(32565,plain,
% 17.34/12.54 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB187) | (~nextState(constB186, constB187)) | (~(((~v84(constB187, 2)) <=> v84(constB186, 2)) | ((~v84(constB187, 1)) <=> v84(constB186, 1)) | ((~v84(constB187, 0)) <=> v84(constB186, 0)))))),
% 17.34/12.54 inference(quant_inst,[status(thm)],[])).
% 17.34/12.54 tff(32566,plain,
% 17.34/12.54 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB187) | (~nextState(constB186, constB187)) | (~(((~v84(constB187, 1)) <=> v84(constB186, 1)) | ((~v84(constB187, 2)) <=> v84(constB186, 2)) | ((~v84(constB187, 0)) <=> v84(constB186, 0))))),
% 17.34/12.54 inference(modus_ponens,[status(thm)],[32565, 32564])).
% 17.34/12.54 tff(32567,plain,
% 17.34/12.54 (v94(constB187) | (~(((~v84(constB187, 1)) <=> v84(constB186, 1)) | ((~v84(constB187, 2)) <=> v84(constB186, 2)) | ((~v84(constB187, 0)) <=> v84(constB186, 0))))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32566, 22038, 819])).
% 17.34/12.54 tff(32568,plain,
% 17.34/12.54 (~(((~v84(constB187, 1)) <=> v84(constB186, 1)) | ((~v84(constB187, 2)) <=> v84(constB186, 2)) | ((~v84(constB187, 0)) <=> v84(constB186, 0)))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32567, 32560])).
% 17.34/12.54 tff(32569,plain,
% 17.34/12.54 ((((~v84(constB187, 1)) <=> v84(constB186, 1)) | ((~v84(constB187, 2)) <=> v84(constB186, 2)) | ((~v84(constB187, 0)) <=> v84(constB186, 0))) | (~((~v84(constB187, 2)) <=> v84(constB186, 2)))),
% 17.34/12.54 inference(tautology,[status(thm)],[])).
% 17.34/12.54 tff(32570,plain,
% 17.34/12.54 (~((~v84(constB187, 2)) <=> v84(constB186, 2))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32569, 32568])).
% 17.34/12.54 tff(32571,plain,
% 17.34/12.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB185, constB186)) | (~(((~v123(constB186, 2)) <=> v121(constB185, 2)) | ((~v123(constB186, 1)) <=> v121(constB185, 1)) | ((~v123(constB186, 0)) <=> v121(constB185, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB185, constB186)) | (~(((~v123(constB186, 2)) <=> v121(constB185, 2)) | ((~v123(constB186, 1)) <=> v121(constB185, 1)) | ((~v123(constB186, 0)) <=> v121(constB185, 0)))))),
% 17.34/12.54 inference(rewrite,[status(thm)],[])).
% 17.34/12.54 tff(32572,plain,
% 17.34/12.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB185, constB186)) | (~(((~v123(constB186, 2)) <=> v121(constB185, 2)) | ((~v123(constB186, 1)) <=> v121(constB185, 1)) | ((~v123(constB186, 0)) <=> v121(constB185, 0)))))),
% 17.34/12.54 inference(quant_inst,[status(thm)],[])).
% 17.34/12.54 tff(32573,plain,
% 17.34/12.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB185, constB186)) | (~(((~v123(constB186, 2)) <=> v121(constB185, 2)) | ((~v123(constB186, 1)) <=> v121(constB185, 1)) | ((~v123(constB186, 0)) <=> v121(constB185, 0))))),
% 17.34/12.54 inference(modus_ponens,[status(thm)],[32572, 32571])).
% 17.34/12.54 tff(32574,plain,
% 17.34/12.54 (~(((~v123(constB186, 2)) <=> v121(constB185, 2)) | ((~v123(constB186, 1)) <=> v121(constB185, 1)) | ((~v123(constB186, 0)) <=> v121(constB185, 0)))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32573, 22094, 842])).
% 17.34/12.54 tff(32575,plain,
% 17.34/12.54 ((((~v123(constB186, 2)) <=> v121(constB185, 2)) | ((~v123(constB186, 1)) <=> v121(constB185, 1)) | ((~v123(constB186, 0)) <=> v121(constB185, 0))) | (~((~v123(constB186, 2)) <=> v121(constB185, 2)))),
% 17.34/12.54 inference(tautology,[status(thm)],[])).
% 17.34/12.54 tff(32576,plain,
% 17.34/12.54 (~((~v123(constB186, 2)) <=> v121(constB185, 2))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32575, 32574])).
% 17.34/12.54 tff(32577,plain,
% 17.34/12.54 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB185) <=> v26(constB185))),
% 17.34/12.54 inference(quant_inst,[status(thm)],[])).
% 17.34/12.54 tff(32578,plain,
% 17.34/12.54 (v105(constB185) <=> v26(constB185)),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32577, 861])).
% 17.34/12.54 tff(32579,plain,
% 17.34/12.54 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB185))),
% 17.34/12.54 inference(quant_inst,[status(thm)],[])).
% 17.34/12.54 tff(32580,plain,
% 17.34/12.54 (~v26(constB185)),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32579, 873])).
% 17.34/12.54 tff(32581,plain,
% 17.34/12.54 ((~(v105(constB185) <=> v26(constB185))) | (~v105(constB185)) | v26(constB185)),
% 17.34/12.54 inference(tautology,[status(thm)],[])).
% 17.34/12.54 tff(32582,plain,
% 17.34/12.54 ((~(v105(constB185) <=> v26(constB185))) | (~v105(constB185))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32581, 32580])).
% 17.34/12.54 tff(32583,plain,
% 17.34/12.54 (~v105(constB185)),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32582, 32578])).
% 17.34/12.54 tff(32584,plain,
% 17.34/12.54 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB185) | (~(((~v121(constB185, 2)) <=> v124(constB185, 2)) | ((~v121(constB185, 0)) <=> v124(constB185, 0)) | ((~v121(constB185, 1)) <=> v124(constB185, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB185) | (~(((~v121(constB185, 2)) <=> v124(constB185, 2)) | ((~v121(constB185, 0)) <=> v124(constB185, 0)) | ((~v121(constB185, 1)) <=> v124(constB185, 1)))))),
% 17.34/12.54 inference(rewrite,[status(thm)],[])).
% 17.34/12.54 tff(32585,plain,
% 17.34/12.54 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB185) | (~(((~v121(constB185, 2)) <=> v124(constB185, 2)) | ((~v121(constB185, 0)) <=> v124(constB185, 0)) | ((~v121(constB185, 1)) <=> v124(constB185, 1)))))),
% 17.34/12.54 inference(quant_inst,[status(thm)],[])).
% 17.34/12.54 tff(32586,plain,
% 17.34/12.54 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB185) | (~(((~v121(constB185, 2)) <=> v124(constB185, 2)) | ((~v121(constB185, 0)) <=> v124(constB185, 0)) | ((~v121(constB185, 1)) <=> v124(constB185, 1))))),
% 17.34/12.54 inference(modus_ponens,[status(thm)],[32585, 32584])).
% 17.34/12.54 tff(32587,plain,
% 17.34/12.54 (v105(constB185) | (~(((~v121(constB185, 2)) <=> v124(constB185, 2)) | ((~v121(constB185, 0)) <=> v124(constB185, 0)) | ((~v121(constB185, 1)) <=> v124(constB185, 1))))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32586, 891])).
% 17.34/12.54 tff(32588,plain,
% 17.34/12.54 (~(((~v121(constB185, 2)) <=> v124(constB185, 2)) | ((~v121(constB185, 0)) <=> v124(constB185, 0)) | ((~v121(constB185, 1)) <=> v124(constB185, 1)))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32587, 32583])).
% 17.34/12.54 tff(32589,plain,
% 17.34/12.54 ((((~v121(constB185, 2)) <=> v124(constB185, 2)) | ((~v121(constB185, 0)) <=> v124(constB185, 0)) | ((~v121(constB185, 1)) <=> v124(constB185, 1))) | (~((~v121(constB185, 2)) <=> v124(constB185, 2)))),
% 17.34/12.54 inference(tautology,[status(thm)],[])).
% 17.34/12.54 tff(32590,plain,
% 17.34/12.54 (~((~v121(constB185, 2)) <=> v124(constB185, 2))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32589, 32588])).
% 17.34/12.54 tff(32591,plain,
% 17.34/12.54 ((~![VarCurr: state_type] : (v113(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | v84(VarCurr, 2))))) | (v113(constB185) <=> (~(v84(constB185, 0) | v84(constB185, 1) | v84(constB185, 2))))),
% 17.34/12.54 inference(quant_inst,[status(thm)],[])).
% 17.34/12.54 tff(32592,plain,
% 17.34/12.54 (v113(constB185) <=> (~(v84(constB185, 0) | v84(constB185, 1) | v84(constB185, 2)))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32591, 1466])).
% 17.34/12.54 tff(32593,plain,
% 17.34/12.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB184, constB185)) | (v94(constB185) <=> (~((~v95(constB185)) | (~v104(constB185))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB184, constB185)) | (v94(constB185) <=> (~((~v95(constB185)) | (~v104(constB185))))))),
% 17.34/12.54 inference(rewrite,[status(thm)],[])).
% 17.34/12.54 tff(32594,plain,
% 17.34/12.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB184, constB185)) | (v94(constB185) <=> (~((~v95(constB185)) | (~v104(constB185))))))),
% 17.34/12.54 inference(quant_inst,[status(thm)],[])).
% 17.34/12.54 tff(32595,plain,
% 17.34/12.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB184, constB185)) | (v94(constB185) <=> (~((~v95(constB185)) | (~v104(constB185)))))),
% 17.34/12.54 inference(modus_ponens,[status(thm)],[32594, 32593])).
% 17.34/12.54 tff(32596,plain,
% 17.34/12.54 (v94(constB185) <=> (~((~v95(constB185)) | (~v104(constB185))))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32595, 22188, 770])).
% 17.34/12.54 tff(32597,plain,
% 17.34/12.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185))))))),
% 17.34/12.54 inference(rewrite,[status(thm)],[])).
% 17.34/12.54 tff(32598,plain,
% 17.34/12.54 (((~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v96(constB185)) | (~v1(constB185)))))) <=> ((~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185))))))),
% 17.34/12.54 inference(rewrite,[status(thm)],[])).
% 17.34/12.54 tff(32599,plain,
% 17.34/12.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v96(constB185)) | (~v1(constB185))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185)))))))),
% 17.34/12.54 inference(monotonicity,[status(thm)],[32598])).
% 17.34/12.54 tff(32600,plain,
% 17.34/12.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v96(constB185)) | (~v1(constB185))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185))))))),
% 17.34/12.54 inference(transitivity,[status(thm)],[32599, 32597])).
% 17.34/12.54 tff(32601,plain,
% 17.34/12.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v96(constB185)) | (~v1(constB185))))))),
% 17.34/12.54 inference(quant_inst,[status(thm)],[])).
% 17.34/12.54 tff(32602,plain,
% 17.34/12.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185)))))),
% 17.34/12.54 inference(modus_ponens,[status(thm)],[32601, 32600])).
% 17.34/12.54 tff(32603,plain,
% 17.34/12.54 (v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185))))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32602, 22188, 790])).
% 17.34/12.54 tff(32604,plain,
% 17.34/12.54 (((~v1(constB185)) | (~v96(constB185))) | v1(constB185)),
% 17.34/12.54 inference(tautology,[status(thm)],[])).
% 17.34/12.54 tff(32605,plain,
% 17.34/12.54 ((~v1(constB185)) | (~v96(constB185))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32604, 22158])).
% 17.34/12.54 tff(32606,plain,
% 17.34/12.54 ((~(v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185)))))) | (~v95(constB185)) | (~((~v1(constB185)) | (~v96(constB185))))),
% 17.34/12.54 inference(tautology,[status(thm)],[])).
% 17.34/12.54 tff(32607,plain,
% 17.34/12.54 ((~(v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185)))))) | (~v95(constB185))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32606, 32605])).
% 17.34/12.54 tff(32608,plain,
% 17.34/12.54 (~v95(constB185)),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32607, 32603])).
% 17.34/12.54 tff(32609,plain,
% 17.34/12.54 (((~v95(constB185)) | (~v104(constB185))) | v95(constB185)),
% 17.34/12.54 inference(tautology,[status(thm)],[])).
% 17.34/12.54 tff(32610,plain,
% 17.34/12.54 ((~v95(constB185)) | (~v104(constB185))),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32609, 32608])).
% 17.34/12.54 tff(32611,plain,
% 17.34/12.54 ((~(v94(constB185) <=> (~((~v95(constB185)) | (~v104(constB185)))))) | (~v94(constB185)) | (~((~v95(constB185)) | (~v104(constB185))))),
% 17.34/12.54 inference(tautology,[status(thm)],[])).
% 17.34/12.54 tff(32612,plain,
% 17.34/12.54 (~v94(constB185)),
% 17.34/12.54 inference(unit_resolution,[status(thm)],[32611, 32610, 32596])).
% 17.34/12.55 tff(32613,plain,
% 17.34/12.55 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB185) | (~nextState(constB184, constB185)) | (~(((~v84(constB185, 1)) <=> v84(constB184, 1)) | ((~v84(constB185, 2)) <=> v84(constB184, 2)) | ((~v84(constB185, 0)) <=> v84(constB184, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB185) | (~nextState(constB184, constB185)) | (~(((~v84(constB185, 1)) <=> v84(constB184, 1)) | ((~v84(constB185, 2)) <=> v84(constB184, 2)) | ((~v84(constB185, 0)) <=> v84(constB184, 0)))))),
% 17.34/12.55 inference(rewrite,[status(thm)],[])).
% 17.34/12.55 tff(32614,plain,
% 17.34/12.55 ((v94(constB185) | (~nextState(constB184, constB185)) | (~(((~v84(constB185, 2)) <=> v84(constB184, 2)) | ((~v84(constB185, 1)) <=> v84(constB184, 1)) | ((~v84(constB185, 0)) <=> v84(constB184, 0))))) <=> (v94(constB185) | (~nextState(constB184, constB185)) | (~(((~v84(constB185, 1)) <=> v84(constB184, 1)) | ((~v84(constB185, 2)) <=> v84(constB184, 2)) | ((~v84(constB185, 0)) <=> v84(constB184, 0)))))),
% 17.34/12.55 inference(rewrite,[status(thm)],[])).
% 17.34/12.55 tff(32615,plain,
% 17.34/12.55 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB185) | (~nextState(constB184, constB185)) | (~(((~v84(constB185, 2)) <=> v84(constB184, 2)) | ((~v84(constB185, 1)) <=> v84(constB184, 1)) | ((~v84(constB185, 0)) <=> v84(constB184, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB185) | (~nextState(constB184, constB185)) | (~(((~v84(constB185, 1)) <=> v84(constB184, 1)) | ((~v84(constB185, 2)) <=> v84(constB184, 2)) | ((~v84(constB185, 0)) <=> v84(constB184, 0))))))),
% 17.34/12.55 inference(monotonicity,[status(thm)],[32614])).
% 17.34/12.55 tff(32616,plain,
% 17.34/12.55 (((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB185) | (~nextState(constB184, constB185)) | (~(((~v84(constB185, 2)) <=> v84(constB184, 2)) | ((~v84(constB185, 1)) <=> v84(constB184, 1)) | ((~v84(constB185, 0)) <=> v84(constB184, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB185) | (~nextState(constB184, constB185)) | (~(((~v84(constB185, 1)) <=> v84(constB184, 1)) | ((~v84(constB185, 2)) <=> v84(constB184, 2)) | ((~v84(constB185, 0)) <=> v84(constB184, 0)))))),
% 17.34/12.55 inference(transitivity,[status(thm)],[32615, 32613])).
% 17.34/12.55 tff(32617,plain,
% 17.34/12.55 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | (v94(constB185) | (~nextState(constB184, constB185)) | (~(((~v84(constB185, 2)) <=> v84(constB184, 2)) | ((~v84(constB185, 1)) <=> v84(constB184, 1)) | ((~v84(constB185, 0)) <=> v84(constB184, 0)))))),
% 17.34/12.55 inference(quant_inst,[status(thm)],[])).
% 17.34/12.55 tff(32618,plain,
% 17.34/12.55 ((~![VarNext: state_type, VarCurr: state_type] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | (~(((~v84(VarNext, 2)) <=> v84(VarCurr, 2)) | ((~v84(VarNext, 1)) <=> v84(VarCurr, 1)) | ((~v84(VarNext, 0)) <=> v84(VarCurr, 0)))))) | v94(constB185) | (~nextState(constB184, constB185)) | (~(((~v84(constB185, 1)) <=> v84(constB184, 1)) | ((~v84(constB185, 2)) <=> v84(constB184, 2)) | ((~v84(constB185, 0)) <=> v84(constB184, 0))))),
% 17.34/12.55 inference(modus_ponens,[status(thm)],[32617, 32616])).
% 17.34/12.55 tff(32619,plain,
% 17.34/12.55 (v94(constB185) | (~(((~v84(constB185, 1)) <=> v84(constB184, 1)) | ((~v84(constB185, 2)) <=> v84(constB184, 2)) | ((~v84(constB185, 0)) <=> v84(constB184, 0))))),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32618, 22188, 819])).
% 17.34/12.55 tff(32620,plain,
% 17.34/12.55 (~(((~v84(constB185, 1)) <=> v84(constB184, 1)) | ((~v84(constB185, 2)) <=> v84(constB184, 2)) | ((~v84(constB185, 0)) <=> v84(constB184, 0)))),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32619, 32612])).
% 17.34/12.55 tff(32621,plain,
% 17.34/12.55 ((((~v84(constB185, 1)) <=> v84(constB184, 1)) | ((~v84(constB185, 2)) <=> v84(constB184, 2)) | ((~v84(constB185, 0)) <=> v84(constB184, 0))) | (~((~v84(constB185, 2)) <=> v84(constB184, 2)))),
% 17.34/12.55 inference(tautology,[status(thm)],[])).
% 17.34/12.55 tff(32622,plain,
% 17.34/12.55 (~((~v84(constB185, 2)) <=> v84(constB184, 2))),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32621, 32620])).
% 17.34/12.55 tff(32623,plain,
% 17.34/12.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB183, constB184)) | (~(((~v123(constB184, 2)) <=> v121(constB183, 2)) | ((~v123(constB184, 1)) <=> v121(constB183, 1)) | ((~v123(constB184, 0)) <=> v121(constB183, 0)))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB183, constB184)) | (~(((~v123(constB184, 2)) <=> v121(constB183, 2)) | ((~v123(constB184, 1)) <=> v121(constB183, 1)) | ((~v123(constB184, 0)) <=> v121(constB183, 0)))))),
% 17.34/12.55 inference(rewrite,[status(thm)],[])).
% 17.34/12.55 tff(32624,plain,
% 17.34/12.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | ((~nextState(constB183, constB184)) | (~(((~v123(constB184, 2)) <=> v121(constB183, 2)) | ((~v123(constB184, 1)) <=> v121(constB183, 1)) | ((~v123(constB184, 0)) <=> v121(constB183, 0)))))),
% 17.34/12.55 inference(quant_inst,[status(thm)],[])).
% 17.34/12.55 tff(32625,plain,
% 17.34/12.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~(((~v123(VarNext, 2)) <=> v121(VarCurr, 2)) | ((~v123(VarNext, 1)) <=> v121(VarCurr, 1)) | ((~v123(VarNext, 0)) <=> v121(VarCurr, 0)))))) | (~nextState(constB183, constB184)) | (~(((~v123(constB184, 2)) <=> v121(constB183, 2)) | ((~v123(constB184, 1)) <=> v121(constB183, 1)) | ((~v123(constB184, 0)) <=> v121(constB183, 0))))),
% 17.34/12.55 inference(modus_ponens,[status(thm)],[32624, 32623])).
% 17.34/12.55 tff(32626,plain,
% 17.34/12.55 (~(((~v123(constB184, 2)) <=> v121(constB183, 2)) | ((~v123(constB184, 1)) <=> v121(constB183, 1)) | ((~v123(constB184, 0)) <=> v121(constB183, 0)))),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32625, 22234, 842])).
% 17.34/12.55 tff(32627,plain,
% 17.34/12.55 ((((~v123(constB184, 2)) <=> v121(constB183, 2)) | ((~v123(constB184, 1)) <=> v121(constB183, 1)) | ((~v123(constB184, 0)) <=> v121(constB183, 0))) | (~((~v123(constB184, 2)) <=> v121(constB183, 2)))),
% 17.34/12.55 inference(tautology,[status(thm)],[])).
% 17.34/12.55 tff(32628,plain,
% 17.34/12.55 (~((~v123(constB184, 2)) <=> v121(constB183, 2))),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32627, 32626])).
% 17.34/12.55 tff(32629,plain,
% 17.34/12.55 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB183) <=> v26(constB183))),
% 17.34/12.55 inference(quant_inst,[status(thm)],[])).
% 17.34/12.55 tff(32630,plain,
% 17.34/12.55 (v105(constB183) <=> v26(constB183)),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32629, 861])).
% 17.34/12.55 tff(32631,plain,
% 17.34/12.55 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB183))),
% 17.34/12.55 inference(quant_inst,[status(thm)],[])).
% 17.34/12.55 tff(32632,plain,
% 17.34/12.55 (~v26(constB183)),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32631, 873])).
% 17.34/12.55 tff(32633,plain,
% 17.34/12.55 ((~(v105(constB183) <=> v26(constB183))) | (~v105(constB183)) | v26(constB183)),
% 17.34/12.55 inference(tautology,[status(thm)],[])).
% 17.34/12.55 tff(32634,plain,
% 17.34/12.55 ((~(v105(constB183) <=> v26(constB183))) | (~v105(constB183))),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32633, 32632])).
% 17.34/12.55 tff(32635,plain,
% 17.34/12.55 (~v105(constB183)),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32634, 32630])).
% 17.34/12.55 tff(32636,plain,
% 17.34/12.55 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB183) | (~(((~v121(constB183, 2)) <=> v124(constB183, 2)) | ((~v121(constB183, 0)) <=> v124(constB183, 0)) | ((~v121(constB183, 1)) <=> v124(constB183, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB183) | (~(((~v121(constB183, 2)) <=> v124(constB183, 2)) | ((~v121(constB183, 0)) <=> v124(constB183, 0)) | ((~v121(constB183, 1)) <=> v124(constB183, 1)))))),
% 17.34/12.55 inference(rewrite,[status(thm)],[])).
% 17.34/12.55 tff(32637,plain,
% 17.34/12.55 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB183) | (~(((~v121(constB183, 2)) <=> v124(constB183, 2)) | ((~v121(constB183, 0)) <=> v124(constB183, 0)) | ((~v121(constB183, 1)) <=> v124(constB183, 1)))))),
% 17.34/12.55 inference(quant_inst,[status(thm)],[])).
% 17.34/12.55 tff(32638,plain,
% 17.34/12.55 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB183) | (~(((~v121(constB183, 2)) <=> v124(constB183, 2)) | ((~v121(constB183, 0)) <=> v124(constB183, 0)) | ((~v121(constB183, 1)) <=> v124(constB183, 1))))),
% 17.34/12.55 inference(modus_ponens,[status(thm)],[32637, 32636])).
% 17.34/12.55 tff(32639,plain,
% 17.34/12.55 (v105(constB183) | (~(((~v121(constB183, 2)) <=> v124(constB183, 2)) | ((~v121(constB183, 0)) <=> v124(constB183, 0)) | ((~v121(constB183, 1)) <=> v124(constB183, 1))))),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32638, 891])).
% 17.34/12.55 tff(32640,plain,
% 17.34/12.55 (~(((~v121(constB183, 2)) <=> v124(constB183, 2)) | ((~v121(constB183, 0)) <=> v124(constB183, 0)) | ((~v121(constB183, 1)) <=> v124(constB183, 1)))),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32639, 32635])).
% 17.34/12.55 tff(32641,plain,
% 17.34/12.55 ((((~v121(constB183, 2)) <=> v124(constB183, 2)) | ((~v121(constB183, 0)) <=> v124(constB183, 0)) | ((~v121(constB183, 1)) <=> v124(constB183, 1))) | (~((~v121(constB183, 2)) <=> v124(constB183, 2)))),
% 17.34/12.55 inference(tautology,[status(thm)],[])).
% 17.34/12.55 tff(32642,plain,
% 17.34/12.55 (~((~v121(constB183, 2)) <=> v124(constB183, 2))),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32641, 32640])).
% 17.34/12.55 tff(32643,plain,
% 17.34/12.55 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB183) <=> (~(v84(constB183, 1) | v84(constB183, 0) | (~v84(constB183, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB183) <=> (~(v84(constB183, 1) | v84(constB183, 0) | (~v84(constB183, 2))))))),
% 17.34/12.55 inference(rewrite,[status(thm)],[])).
% 17.34/12.55 tff(32644,plain,
% 17.34/12.55 ((v117(constB183) <=> (~(v84(constB183, 0) | v84(constB183, 1) | (~v84(constB183, 2))))) <=> (v117(constB183) <=> (~(v84(constB183, 1) | v84(constB183, 0) | (~v84(constB183, 2)))))),
% 17.34/12.55 inference(rewrite,[status(thm)],[])).
% 17.34/12.55 tff(32645,plain,
% 17.34/12.55 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB183) <=> (~(v84(constB183, 0) | v84(constB183, 1) | (~v84(constB183, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB183) <=> (~(v84(constB183, 1) | v84(constB183, 0) | (~v84(constB183, 2))))))),
% 17.34/12.55 inference(monotonicity,[status(thm)],[32644])).
% 17.34/12.55 tff(32646,plain,
% 17.34/12.55 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB183) <=> (~(v84(constB183, 0) | v84(constB183, 1) | (~v84(constB183, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB183) <=> (~(v84(constB183, 1) | v84(constB183, 0) | (~v84(constB183, 2))))))),
% 17.34/12.55 inference(transitivity,[status(thm)],[32645, 32643])).
% 17.34/12.55 tff(32647,plain,
% 17.34/12.55 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB183) <=> (~(v84(constB183, 0) | v84(constB183, 1) | (~v84(constB183, 2)))))),
% 17.34/12.55 inference(quant_inst,[status(thm)],[])).
% 17.34/12.55 tff(32648,plain,
% 17.34/12.55 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB183) <=> (~(v84(constB183, 1) | v84(constB183, 0) | (~v84(constB183, 2)))))),
% 17.34/12.55 inference(modus_ponens,[status(thm)],[32647, 32646])).
% 17.34/12.55 tff(32649,plain,
% 17.34/12.55 (v117(constB183) <=> (~(v84(constB183, 1) | v84(constB183, 0) | (~v84(constB183, 2))))),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32648, 1199])).
% 17.34/12.55 tff(32650,plain,
% 17.34/12.55 ((((~v84(constB183, 1)) <=> v84(constB182, 1)) | ((~v84(constB183, 2)) <=> v84(constB182, 2)) | ((~v84(constB183, 0)) <=> v84(constB182, 0))) | (~((~v84(constB183, 2)) <=> v84(constB182, 2)))),
% 17.34/12.55 inference(tautology,[status(thm)],[])).
% 17.34/12.55 tff(32651,plain,
% 17.34/12.55 (~((~v84(constB183, 2)) <=> v84(constB182, 2))),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32650, 22353])).
% 17.34/12.55 tff(32652,plain,
% 17.34/12.55 ((((~v123(constB182, 2)) <=> v121(constB181, 2)) | ((~v123(constB182, 1)) <=> v121(constB181, 1)) | ((~v123(constB182, 0)) <=> v121(constB181, 0))) | (~((~v123(constB182, 2)) <=> v121(constB181, 2)))),
% 17.34/12.55 inference(tautology,[status(thm)],[])).
% 17.34/12.55 tff(32653,plain,
% 17.34/12.55 (~((~v123(constB182, 2)) <=> v121(constB181, 2))),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32652, 22362])).
% 17.34/12.55 tff(32654,plain,
% 17.34/12.55 ((((~v121(constB181, 2)) <=> v124(constB181, 2)) | ((~v121(constB181, 0)) <=> v124(constB181, 0)) | ((~v121(constB181, 1)) <=> v124(constB181, 1))) | (~((~v121(constB181, 2)) <=> v124(constB181, 2)))),
% 17.34/12.55 inference(tautology,[status(thm)],[])).
% 17.34/12.55 tff(32655,plain,
% 17.34/12.55 (~((~v121(constB181, 2)) <=> v124(constB181, 2))),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32654, 22376])).
% 17.34/12.55 tff(32656,plain,
% 17.34/12.55 ((v124(constB181, 0) | v124(constB181, 1) | (~v124(constB181, 2))) | v124(constB181, 2)),
% 17.34/12.55 inference(tautology,[status(thm)],[])).
% 17.34/12.55 tff(32657,plain,
% 17.34/12.55 (v124(constB181, 2)),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32656, 24611])).
% 17.34/12.55 tff(32658,plain,
% 17.34/12.55 (((~v121(constB181, 2)) <=> v124(constB181, 2)) | v121(constB181, 2) | (~v124(constB181, 2))),
% 17.34/12.55 inference(tautology,[status(thm)],[])).
% 17.34/12.55 tff(32659,plain,
% 17.34/12.55 (v121(constB181, 2)),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32658, 32657, 32655])).
% 17.34/12.55 tff(32660,plain,
% 17.34/12.55 (((~v123(constB182, 2)) <=> v121(constB181, 2)) | v123(constB182, 2) | (~v121(constB181, 2))),
% 17.34/12.55 inference(tautology,[status(thm)],[])).
% 17.34/12.55 tff(32661,plain,
% 17.34/12.55 (v123(constB182, 2)),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32660, 32659, 32653])).
% 17.34/12.55 tff(32662,plain,
% 17.34/12.55 ((((~v84(constB182, 0)) <=> v123(constB182, 0)) | ((~v84(constB182, 2)) <=> v123(constB182, 2)) | ((~v84(constB182, 1)) <=> v123(constB182, 1))) | (~((~v84(constB182, 2)) <=> v123(constB182, 2)))),
% 17.34/12.55 inference(tautology,[status(thm)],[])).
% 17.34/12.55 tff(32663,plain,
% 17.34/12.55 (~((~v84(constB182, 2)) <=> v123(constB182, 2))),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32662, 24709])).
% 17.34/12.55 tff(32664,plain,
% 17.34/12.55 (((~v84(constB182, 2)) <=> v123(constB182, 2)) | v84(constB182, 2) | (~v123(constB182, 2))),
% 17.34/12.55 inference(tautology,[status(thm)],[])).
% 17.34/12.55 tff(32665,plain,
% 17.34/12.55 (v84(constB182, 2)),
% 17.34/12.55 inference(unit_resolution,[status(thm)],[32664, 32663, 32661])).
% 17.34/12.55 tff(32666,plain,
% 17.34/12.55 (((~v84(constB183, 2)) <=> v84(constB182, 2)) | v84(constB183, 2) | (~v84(constB182, 2))),
% 17.34/12.55 inference(tautology,[status(thm)],[])).
% 17.34/12.56 tff(32667,plain,
% 17.34/12.56 (v84(constB183, 2)),
% 17.34/12.56 inference(unit_resolution,[status(thm)],[32666, 32665, 32651])).
% 17.34/12.56 tff(32668,plain,
% 17.34/12.56 ((((~v84(constB183, 1)) <=> v84(constB182, 1)) | ((~v84(constB183, 2)) <=> v84(constB182, 2)) | ((~v84(constB183, 0)) <=> v84(constB182, 0))) | (~((~v84(constB183, 1)) <=> v84(constB182, 1)))),
% 17.34/12.56 inference(tautology,[status(thm)],[])).
% 17.34/12.56 tff(32669,plain,
% 17.34/12.56 (~((~v84(constB183, 1)) <=> v84(constB182, 1))),
% 17.34/12.56 inference(unit_resolution,[status(thm)],[32668, 22353])).
% 17.34/12.56 tff(32670,plain,
% 17.34/12.56 ((((~v123(constB182, 2)) <=> v121(constB181, 2)) | ((~v123(constB182, 1)) <=> v121(constB181, 1)) | ((~v123(constB182, 0)) <=> v121(constB181, 0))) | (~((~v123(constB182, 1)) <=> v121(constB181, 1)))),
% 17.34/12.56 inference(tautology,[status(thm)],[])).
% 17.34/12.56 tff(32671,plain,
% 17.34/12.56 (~((~v123(constB182, 1)) <=> v121(constB181, 1))),
% 17.34/12.56 inference(unit_resolution,[status(thm)],[32670, 22362])).
% 17.34/12.56 tff(32672,plain,
% 17.34/12.56 ((((~v121(constB181, 2)) <=> v124(constB181, 2)) | ((~v121(constB181, 0)) <=> v124(constB181, 0)) | ((~v121(constB181, 1)) <=> v124(constB181, 1))) | (~((~v121(constB181, 1)) <=> v124(constB181, 1)))),
% 17.34/12.56 inference(tautology,[status(thm)],[])).
% 17.34/12.56 tff(32673,plain,
% 17.34/12.56 (~((~v121(constB181, 1)) <=> v124(constB181, 1))),
% 17.34/12.56 inference(unit_resolution,[status(thm)],[32672, 22376])).
% 17.34/12.56 tff(32674,plain,
% 17.34/12.56 ((v124(constB181, 0) | v124(constB181, 1) | (~v124(constB181, 2))) | (~v124(constB181, 1))),
% 17.34/12.56 inference(tautology,[status(thm)],[])).
% 17.34/12.56 tff(32675,plain,
% 17.34/12.56 (~v124(constB181, 1)),
% 17.34/12.56 inference(unit_resolution,[status(thm)],[32674, 24611])).
% 17.34/12.56 tff(32676,plain,
% 17.34/12.56 (((~v121(constB181, 1)) <=> v124(constB181, 1)) | (~v121(constB181, 1)) | v124(constB181, 1)),
% 17.34/12.56 inference(tautology,[status(thm)],[])).
% 17.34/12.56 tff(32677,plain,
% 17.34/12.56 (~v121(constB181, 1)),
% 17.34/12.56 inference(unit_resolution,[status(thm)],[32676, 32675, 32673])).
% 17.34/12.56 tff(32678,plain,
% 17.34/12.56 (((~v123(constB182, 1)) <=> v121(constB181, 1)) | (~v123(constB182, 1)) | v121(constB181, 1)),
% 17.34/12.56 inference(tautology,[status(thm)],[])).
% 17.34/12.56 tff(32679,plain,
% 17.34/12.56 (~v123(constB182, 1)),
% 17.34/12.56 inference(unit_resolution,[status(thm)],[32678, 32677, 32671])).
% 17.34/12.56 tff(32680,plain,
% 17.34/12.56 ((((~v84(constB182, 0)) <=> v123(constB182, 0)) | ((~v84(constB182, 2)) <=> v123(constB182, 2)) | ((~v84(constB182, 1)) <=> v123(constB182, 1))) | (~((~v84(constB182, 1)) <=> v123(constB182, 1)))),
% 17.34/12.56 inference(tautology,[status(thm)],[])).
% 17.34/12.56 tff(32681,plain,
% 17.34/12.56 (~((~v84(constB182, 1)) <=> v123(constB182, 1))),
% 17.34/12.56 inference(unit_resolution,[status(thm)],[32680, 24709])).
% 17.34/12.56 tff(32682,plain,
% 17.34/12.56 (((~v84(constB182, 1)) <=> v123(constB182, 1)) | (~v84(constB182, 1)) | v123(constB182, 1)),
% 17.34/12.56 inference(tautology,[status(thm)],[])).
% 17.34/12.56 tff(32683,plain,
% 17.34/12.56 (~v84(constB182, 1)),
% 17.34/12.56 inference(unit_resolution,[status(thm)],[32682, 32681, 32679])).
% 17.34/12.56 tff(32684,plain,
% 17.34/12.56 (((~v84(constB183, 1)) <=> v84(constB182, 1)) | (~v84(constB183, 1)) | v84(constB182, 1)),
% 17.34/12.56 inference(tautology,[status(thm)],[])).
% 17.34/12.56 tff(32685,plain,
% 17.34/12.56 (~v84(constB183, 1)),
% 17.34/12.56 inference(unit_resolution,[status(thm)],[32684, 32683, 32669])).
% 17.34/12.56 tff(32686,plain,
% 17.34/12.56 ((~(v84(constB183, 1) | v84(constB183, 0) | (~v84(constB183, 2)))) | v84(constB183, 1) | v84(constB183, 0) | (~v84(constB183, 2))),
% 17.34/12.56 inference(tautology,[status(thm)],[])).
% 17.34/12.56 tff(32687,plain,
% 17.34/12.56 (~(v84(constB183, 1) | v84(constB183, 0) | (~v84(constB183, 2)))),
% 17.34/12.56 inference(unit_resolution,[status(thm)],[32686, 32685, 24715, 32667])).
% 17.34/12.56 tff(32688,plain,
% 17.34/12.56 ((~(v117(constB183) <=> (~(v84(constB183, 1) | v84(constB183, 0) | (~v84(constB183, 2)))))) | v117(constB183) | (v84(constB183, 1) | v84(constB183, 0) | (~v84(constB183, 2)))),
% 17.34/12.56 inference(tautology,[status(thm)],[])).
% 17.34/12.56 tff(32689,plain,
% 17.34/12.56 (v117(constB183)),
% 17.34/12.56 inference(unit_resolution,[status(thm)],[32688, 32687, 32649])).
% 17.34/12.56 tff(32690,plain,
% 17.34/12.56 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB183)) | (~(v124(constB183, 0) | (~v124(constB183, 2)) | (~v124(constB183, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB183)) | (~(v124(constB183, 0) | (~v124(constB183, 2)) | (~v124(constB183, 1)))))),
% 17.42/12.56 inference(rewrite,[status(thm)],[])).
% 17.42/12.56 tff(32691,plain,
% 17.42/12.56 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB183)) | (~(v124(constB183, 0) | (~v124(constB183, 2)) | (~v124(constB183, 1)))))),
% 17.42/12.56 inference(quant_inst,[status(thm)],[])).
% 17.42/12.56 tff(32692,plain,
% 17.42/12.56 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB183)) | (~(v124(constB183, 0) | (~v124(constB183, 2)) | (~v124(constB183, 1))))),
% 17.42/12.56 inference(modus_ponens,[status(thm)],[32691, 32690])).
% 17.42/12.56 tff(32693,plain,
% 17.42/12.56 ((~v117(constB183)) | (~(v124(constB183, 0) | (~v124(constB183, 2)) | (~v124(constB183, 1))))),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32692, 2584])).
% 17.42/12.56 tff(32694,plain,
% 17.42/12.56 (~(v124(constB183, 0) | (~v124(constB183, 2)) | (~v124(constB183, 1)))),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32693, 32689])).
% 17.42/12.56 tff(32695,plain,
% 17.42/12.56 ((v124(constB183, 0) | (~v124(constB183, 2)) | (~v124(constB183, 1))) | v124(constB183, 2)),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32696,plain,
% 17.42/12.56 (v124(constB183, 2)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32695, 32694])).
% 17.42/12.56 tff(32697,plain,
% 17.42/12.56 (((~v121(constB183, 2)) <=> v124(constB183, 2)) | v121(constB183, 2) | (~v124(constB183, 2))),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32698,plain,
% 17.42/12.56 (v121(constB183, 2)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32697, 32696, 32642])).
% 17.42/12.56 tff(32699,plain,
% 17.42/12.56 (((~v123(constB184, 2)) <=> v121(constB183, 2)) | v123(constB184, 2) | (~v121(constB183, 2))),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32700,plain,
% 17.42/12.56 (v123(constB184, 2)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32699, 32698, 32628])).
% 17.42/12.56 tff(32701,plain,
% 17.42/12.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB183, constB184)) | (v94(constB184) <=> (~((~v95(constB184)) | (~v104(constB184))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB183, constB184)) | (v94(constB184) <=> (~((~v95(constB184)) | (~v104(constB184))))))),
% 17.42/12.56 inference(rewrite,[status(thm)],[])).
% 17.42/12.56 tff(32702,plain,
% 17.42/12.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB183, constB184)) | (v94(constB184) <=> (~((~v95(constB184)) | (~v104(constB184))))))),
% 17.42/12.56 inference(quant_inst,[status(thm)],[])).
% 17.42/12.56 tff(32703,plain,
% 17.42/12.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB183, constB184)) | (v94(constB184) <=> (~((~v95(constB184)) | (~v104(constB184)))))),
% 17.42/12.56 inference(modus_ponens,[status(thm)],[32702, 32701])).
% 17.42/12.56 tff(32704,plain,
% 17.42/12.56 (v94(constB184) <=> (~((~v95(constB184)) | (~v104(constB184))))),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32703, 22234, 770])).
% 17.42/12.56 tff(32705,plain,
% 17.42/12.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184))))))),
% 17.42/12.56 inference(rewrite,[status(thm)],[])).
% 17.42/12.56 tff(32706,plain,
% 17.42/12.56 (((~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v96(constB184)) | (~v1(constB184)))))) <=> ((~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184))))))),
% 17.42/12.56 inference(rewrite,[status(thm)],[])).
% 17.42/12.56 tff(32707,plain,
% 17.42/12.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v96(constB184)) | (~v1(constB184))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184)))))))),
% 17.42/12.56 inference(monotonicity,[status(thm)],[32706])).
% 17.42/12.56 tff(32708,plain,
% 17.42/12.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v96(constB184)) | (~v1(constB184))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184))))))),
% 17.42/12.56 inference(transitivity,[status(thm)],[32707, 32705])).
% 17.42/12.56 tff(32709,plain,
% 17.42/12.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v96(constB184)) | (~v1(constB184))))))),
% 17.42/12.56 inference(quant_inst,[status(thm)],[])).
% 17.42/12.56 tff(32710,plain,
% 17.42/12.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184)))))),
% 17.42/12.56 inference(modus_ponens,[status(thm)],[32709, 32708])).
% 17.42/12.56 tff(32711,plain,
% 17.42/12.56 (v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184))))),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32710, 22234, 790])).
% 17.42/12.56 tff(32712,plain,
% 17.42/12.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB183, constB184)) | ((~v96(constB184)) <=> v98(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB183, constB184)) | ((~v96(constB184)) <=> v98(constB184)))),
% 17.42/12.56 inference(rewrite,[status(thm)],[])).
% 17.42/12.56 tff(32713,plain,
% 17.42/12.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB183, constB184)) | ((~v96(constB184)) <=> v98(constB184)))),
% 17.42/12.56 inference(quant_inst,[status(thm)],[])).
% 17.42/12.56 tff(32714,plain,
% 17.42/12.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB183, constB184)) | ((~v96(constB184)) <=> v98(constB184))),
% 17.42/12.56 inference(modus_ponens,[status(thm)],[32713, 32712])).
% 17.42/12.56 tff(32715,plain,
% 17.42/12.56 ((~v96(constB184)) <=> v98(constB184)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32714, 22234, 2332])).
% 17.42/12.56 tff(32716,plain,
% 17.42/12.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB183, constB184)) | (v98(constB184) <=> v1(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB183, constB184)) | (v98(constB184) <=> v1(constB183)))),
% 17.42/12.56 inference(rewrite,[status(thm)],[])).
% 17.42/12.56 tff(32717,plain,
% 17.42/12.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB183, constB184)) | (v98(constB184) <=> v1(constB183)))),
% 17.42/12.56 inference(quant_inst,[status(thm)],[])).
% 17.42/12.56 tff(32718,plain,
% 17.42/12.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB183, constB184)) | (v98(constB184) <=> v1(constB183))),
% 17.42/12.56 inference(modus_ponens,[status(thm)],[32717, 32716])).
% 17.42/12.56 tff(32719,plain,
% 17.42/12.56 (v98(constB184) <=> v1(constB183)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32718, 22234, 2346])).
% 17.42/12.56 tff(32720,plain,
% 17.42/12.56 ((~(v98(constB184) <=> v1(constB183))) | (~v98(constB184)) | v1(constB183)),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32721,plain,
% 17.42/12.56 ((~(v98(constB184) <=> v1(constB183))) | (~v98(constB184))),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32720, 22298])).
% 17.42/12.56 tff(32722,plain,
% 17.42/12.56 (~v98(constB184)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32721, 32719])).
% 17.42/12.56 tff(32723,plain,
% 17.42/12.56 ((~((~v96(constB184)) <=> v98(constB184))) | v96(constB184) | v98(constB184)),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32724,plain,
% 17.42/12.56 (v96(constB184)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32723, 32722, 32715])).
% 17.42/12.56 tff(32725,plain,
% 17.42/12.56 ((~((~v1(constB184)) | (~v96(constB184)))) | (~v1(constB184)) | (~v96(constB184))),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32726,plain,
% 17.42/12.56 ((~((~v1(constB184)) | (~v96(constB184)))) | (~v96(constB184))),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32725, 22205])).
% 17.42/12.56 tff(32727,plain,
% 17.42/12.56 (~((~v1(constB184)) | (~v96(constB184)))),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32726, 32724])).
% 17.42/12.56 tff(32728,plain,
% 17.42/12.56 ((~(v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184)))))) | v95(constB184) | ((~v1(constB184)) | (~v96(constB184)))),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32729,plain,
% 17.42/12.56 (v95(constB184)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32728, 32727, 32711])).
% 17.42/12.56 tff(32730,plain,
% 17.42/12.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB183, constB184)) | (v104(constB184) <=> v102(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB183, constB184)) | (v104(constB184) <=> v102(constB183)))),
% 17.42/12.56 inference(rewrite,[status(thm)],[])).
% 17.42/12.56 tff(32731,plain,
% 17.42/12.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB183, constB184)) | (v104(constB184) <=> v102(constB183)))),
% 17.42/12.56 inference(quant_inst,[status(thm)],[])).
% 17.42/12.56 tff(32732,plain,
% 17.42/12.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB183, constB184)) | (v104(constB184) <=> v102(constB183))),
% 17.42/12.56 inference(modus_ponens,[status(thm)],[32731, 32730])).
% 17.42/12.56 tff(32733,plain,
% 17.42/12.56 (v104(constB184) <=> v102(constB183)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32732, 22234, 2373])).
% 17.42/12.56 tff(32734,plain,
% 17.42/12.56 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB183) <=> (v105(constB183) | v106(constB183)))),
% 17.42/12.56 inference(quant_inst,[status(thm)],[])).
% 17.42/12.56 tff(32735,plain,
% 17.42/12.56 (v102(constB183) <=> (v105(constB183) | v106(constB183))),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32734, 2384])).
% 17.42/12.56 tff(32736,plain,
% 17.42/12.56 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB183) <=> (~((~v107(constB183)) | (~v120(constB183)))))),
% 17.42/12.56 inference(quant_inst,[status(thm)],[])).
% 17.42/12.56 tff(32737,plain,
% 17.42/12.56 (v106(constB183) <=> (~((~v107(constB183)) | (~v120(constB183))))),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32736, 2396])).
% 17.42/12.56 tff(32738,plain,
% 17.42/12.56 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB183) <=> (v108(constB183) | v119(constB183)))),
% 17.42/12.56 inference(quant_inst,[status(thm)],[])).
% 17.42/12.56 tff(32739,plain,
% 17.42/12.56 (v107(constB183) <=> (v108(constB183) | v119(constB183))),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32738, 2405])).
% 17.42/12.56 tff(32740,plain,
% 17.42/12.56 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB183) <=> (v109(constB183) | v118(constB183)))),
% 17.42/12.56 inference(quant_inst,[status(thm)],[])).
% 17.42/12.56 tff(32741,plain,
% 17.42/12.56 (v108(constB183) <=> (v109(constB183) | v118(constB183))),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32740, 2414])).
% 17.42/12.56 tff(32742,plain,
% 17.42/12.56 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB183) <=> (v110(constB183) | v117(constB183)))),
% 17.42/12.56 inference(quant_inst,[status(thm)],[])).
% 17.42/12.56 tff(32743,plain,
% 17.42/12.56 (v109(constB183) <=> (v110(constB183) | v117(constB183))),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32742, 2423])).
% 17.42/12.56 tff(32744,plain,
% 17.42/12.56 ((v110(constB183) | v117(constB183)) | (~v117(constB183))),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32745,plain,
% 17.42/12.56 (v110(constB183) | v117(constB183)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32744, 32689])).
% 17.42/12.56 tff(32746,plain,
% 17.42/12.56 ((~(v109(constB183) <=> (v110(constB183) | v117(constB183)))) | v109(constB183) | (~(v110(constB183) | v117(constB183)))),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32747,plain,
% 17.42/12.56 (v109(constB183)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32746, 32745, 32743])).
% 17.42/12.56 tff(32748,plain,
% 17.42/12.56 ((v109(constB183) | v118(constB183)) | (~v109(constB183))),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32749,plain,
% 17.42/12.56 (v109(constB183) | v118(constB183)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32748, 32747])).
% 17.42/12.56 tff(32750,plain,
% 17.42/12.56 ((~(v108(constB183) <=> (v109(constB183) | v118(constB183)))) | v108(constB183) | (~(v109(constB183) | v118(constB183)))),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32751,plain,
% 17.42/12.56 (v108(constB183)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32750, 32749, 32741])).
% 17.42/12.56 tff(32752,plain,
% 17.42/12.56 ((v108(constB183) | v119(constB183)) | (~v108(constB183))),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32753,plain,
% 17.42/12.56 (v108(constB183) | v119(constB183)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32752, 32751])).
% 17.42/12.56 tff(32754,plain,
% 17.42/12.56 ((~(v107(constB183) <=> (v108(constB183) | v119(constB183)))) | v107(constB183) | (~(v108(constB183) | v119(constB183)))),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32755,plain,
% 17.42/12.56 (v107(constB183)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32754, 32753, 32739])).
% 17.42/12.56 tff(32756,plain,
% 17.42/12.56 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB183)) <=> v105(constB183))),
% 17.42/12.56 inference(quant_inst,[status(thm)],[])).
% 17.42/12.56 tff(32757,plain,
% 17.42/12.56 ((~v120(constB183)) <=> v105(constB183)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32756, 2484])).
% 17.42/12.56 tff(32758,plain,
% 17.42/12.56 ((~((~v120(constB183)) <=> v105(constB183))) | v120(constB183) | v105(constB183)),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32759,plain,
% 17.42/12.56 ((~((~v120(constB183)) <=> v105(constB183))) | v120(constB183)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32758, 32635])).
% 17.42/12.56 tff(32760,plain,
% 17.42/12.56 (v120(constB183)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32759, 32757])).
% 17.42/12.56 tff(32761,plain,
% 17.42/12.56 ((~((~v107(constB183)) | (~v120(constB183)))) | (~v107(constB183)) | (~v120(constB183))),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32762,plain,
% 17.42/12.56 ((~((~v107(constB183)) | (~v120(constB183)))) | (~v107(constB183))),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32761, 32760])).
% 17.42/12.56 tff(32763,plain,
% 17.42/12.56 (~((~v107(constB183)) | (~v120(constB183)))),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32762, 32755])).
% 17.42/12.56 tff(32764,plain,
% 17.42/12.56 ((~(v106(constB183) <=> (~((~v107(constB183)) | (~v120(constB183)))))) | v106(constB183) | ((~v107(constB183)) | (~v120(constB183)))),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32765,plain,
% 17.42/12.56 (v106(constB183)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32764, 32763, 32737])).
% 17.42/12.56 tff(32766,plain,
% 17.42/12.56 ((v105(constB183) | v106(constB183)) | (~v106(constB183))),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32767,plain,
% 17.42/12.56 (v105(constB183) | v106(constB183)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32766, 32765])).
% 17.42/12.56 tff(32768,plain,
% 17.42/12.56 ((~(v102(constB183) <=> (v105(constB183) | v106(constB183)))) | v102(constB183) | (~(v105(constB183) | v106(constB183)))),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32769,plain,
% 17.42/12.56 (v102(constB183)),
% 17.42/12.56 inference(unit_resolution,[status(thm)],[32768, 32767, 32735])).
% 17.42/12.56 tff(32770,plain,
% 17.42/12.56 ((~(v104(constB184) <=> v102(constB183))) | v104(constB184) | (~v102(constB183))),
% 17.42/12.56 inference(tautology,[status(thm)],[])).
% 17.42/12.56 tff(32771,plain,
% 17.42/12.56 (v104(constB184)),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32770, 32769, 32733])).
% 17.42/12.57 tff(32772,plain,
% 17.42/12.57 ((~((~v95(constB184)) | (~v104(constB184)))) | (~v95(constB184)) | (~v104(constB184))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32773,plain,
% 17.42/12.57 (~((~v95(constB184)) | (~v104(constB184)))),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32772, 32771, 32729])).
% 17.42/12.57 tff(32774,plain,
% 17.42/12.57 ((~(v94(constB184) <=> (~((~v95(constB184)) | (~v104(constB184)))))) | v94(constB184) | ((~v95(constB184)) | (~v104(constB184)))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32775,plain,
% 17.42/12.57 (v94(constB184)),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32774, 32773, 32704])).
% 17.42/12.57 tff(32776,plain,
% 17.42/12.57 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB184)) | (~(((~v84(constB184, 2)) <=> v123(constB184, 2)) | ((~v84(constB184, 1)) <=> v123(constB184, 1)) | ((~v84(constB184, 0)) <=> v123(constB184, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB184)) | (~(((~v84(constB184, 2)) <=> v123(constB184, 2)) | ((~v84(constB184, 1)) <=> v123(constB184, 1)) | ((~v84(constB184, 0)) <=> v123(constB184, 0)))))),
% 17.42/12.57 inference(rewrite,[status(thm)],[])).
% 17.42/12.57 tff(32777,plain,
% 17.42/12.57 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB184)) | (~(((~v84(constB184, 2)) <=> v123(constB184, 2)) | ((~v84(constB184, 1)) <=> v123(constB184, 1)) | ((~v84(constB184, 0)) <=> v123(constB184, 0)))))),
% 17.42/12.57 inference(quant_inst,[status(thm)],[])).
% 17.42/12.57 tff(32778,plain,
% 17.42/12.57 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB184)) | (~(((~v84(constB184, 2)) <=> v123(constB184, 2)) | ((~v84(constB184, 1)) <=> v123(constB184, 1)) | ((~v84(constB184, 0)) <=> v123(constB184, 0))))),
% 17.42/12.57 inference(modus_ponens,[status(thm)],[32777, 32776])).
% 17.42/12.57 tff(32779,plain,
% 17.42/12.57 ((~v94(constB184)) | (~(((~v84(constB184, 2)) <=> v123(constB184, 2)) | ((~v84(constB184, 1)) <=> v123(constB184, 1)) | ((~v84(constB184, 0)) <=> v123(constB184, 0))))),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32778, 2517])).
% 17.42/12.57 tff(32780,plain,
% 17.42/12.57 (~(((~v84(constB184, 2)) <=> v123(constB184, 2)) | ((~v84(constB184, 1)) <=> v123(constB184, 1)) | ((~v84(constB184, 0)) <=> v123(constB184, 0)))),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32779, 32775])).
% 17.42/12.57 tff(32781,plain,
% 17.42/12.57 ((((~v84(constB184, 2)) <=> v123(constB184, 2)) | ((~v84(constB184, 1)) <=> v123(constB184, 1)) | ((~v84(constB184, 0)) <=> v123(constB184, 0))) | (~((~v84(constB184, 2)) <=> v123(constB184, 2)))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32782,plain,
% 17.42/12.57 (~((~v84(constB184, 2)) <=> v123(constB184, 2))),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32781, 32780])).
% 17.42/12.57 tff(32783,plain,
% 17.42/12.57 (((~v84(constB184, 2)) <=> v123(constB184, 2)) | v84(constB184, 2) | (~v123(constB184, 2))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32784,plain,
% 17.42/12.57 (v84(constB184, 2)),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32783, 32782, 32700])).
% 17.42/12.57 tff(32785,plain,
% 17.42/12.57 (((~v84(constB185, 2)) <=> v84(constB184, 2)) | v84(constB185, 2) | (~v84(constB184, 2))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32786,plain,
% 17.42/12.57 (v84(constB185, 2)),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32785, 32784, 32622])).
% 17.42/12.57 tff(32787,plain,
% 17.42/12.57 ((v84(constB185, 0) | v84(constB185, 1) | v84(constB185, 2)) | (~v84(constB185, 2))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32788,plain,
% 17.42/12.57 (v84(constB185, 0) | v84(constB185, 1) | v84(constB185, 2)),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32787, 32786])).
% 17.42/12.57 tff(32789,plain,
% 17.42/12.57 ((~(v113(constB185) <=> (~(v84(constB185, 0) | v84(constB185, 1) | v84(constB185, 2))))) | (~v113(constB185)) | (~(v84(constB185, 0) | v84(constB185, 1) | v84(constB185, 2)))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32790,plain,
% 17.42/12.57 (~v113(constB185)),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32789, 32788, 32592])).
% 17.42/12.57 tff(32791,plain,
% 17.42/12.57 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB185) <=> (~(v84(constB185, 1) | (~v84(constB185, 2)) | (~v84(constB185, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB185) <=> (~(v84(constB185, 1) | (~v84(constB185, 2)) | (~v84(constB185, 0))))))),
% 17.42/12.57 inference(rewrite,[status(thm)],[])).
% 17.42/12.57 tff(32792,plain,
% 17.42/12.57 ((v118(constB185) <=> (~(v84(constB185, 1) | (~v84(constB185, 0)) | (~v84(constB185, 2))))) <=> (v118(constB185) <=> (~(v84(constB185, 1) | (~v84(constB185, 2)) | (~v84(constB185, 0)))))),
% 17.42/12.57 inference(rewrite,[status(thm)],[])).
% 17.42/12.57 tff(32793,plain,
% 17.42/12.57 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB185) <=> (~(v84(constB185, 1) | (~v84(constB185, 0)) | (~v84(constB185, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB185) <=> (~(v84(constB185, 1) | (~v84(constB185, 2)) | (~v84(constB185, 0))))))),
% 17.42/12.57 inference(monotonicity,[status(thm)],[32792])).
% 17.42/12.57 tff(32794,plain,
% 17.42/12.57 (((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB185) <=> (~(v84(constB185, 1) | (~v84(constB185, 0)) | (~v84(constB185, 2)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB185) <=> (~(v84(constB185, 1) | (~v84(constB185, 2)) | (~v84(constB185, 0))))))),
% 17.42/12.57 inference(transitivity,[status(thm)],[32793, 32791])).
% 17.42/12.57 tff(32795,plain,
% 17.42/12.57 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB185) <=> (~(v84(constB185, 1) | (~v84(constB185, 0)) | (~v84(constB185, 2)))))),
% 17.42/12.57 inference(quant_inst,[status(thm)],[])).
% 17.42/12.57 tff(32796,plain,
% 17.42/12.57 ((~![VarCurr: state_type] : (v118(VarCurr) <=> (~(v84(VarCurr, 1) | (~v84(VarCurr, 0)) | (~v84(VarCurr, 2)))))) | (v118(constB185) <=> (~(v84(constB185, 1) | (~v84(constB185, 2)) | (~v84(constB185, 0)))))),
% 17.42/12.57 inference(modus_ponens,[status(thm)],[32795, 32794])).
% 17.42/12.57 tff(32797,plain,
% 17.42/12.57 (v118(constB185) <=> (~(v84(constB185, 1) | (~v84(constB185, 2)) | (~v84(constB185, 0))))),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32796, 2701])).
% 17.42/12.57 tff(32798,plain,
% 17.42/12.57 ((((~v84(constB185, 1)) <=> v84(constB184, 1)) | ((~v84(constB185, 2)) <=> v84(constB184, 2)) | ((~v84(constB185, 0)) <=> v84(constB184, 0))) | (~((~v84(constB185, 1)) <=> v84(constB184, 1)))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32799,plain,
% 17.42/12.57 (~((~v84(constB185, 1)) <=> v84(constB184, 1))),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32798, 32620])).
% 17.42/12.57 tff(32800,plain,
% 17.42/12.57 ((((~v123(constB184, 2)) <=> v121(constB183, 2)) | ((~v123(constB184, 1)) <=> v121(constB183, 1)) | ((~v123(constB184, 0)) <=> v121(constB183, 0))) | (~((~v123(constB184, 1)) <=> v121(constB183, 1)))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32801,plain,
% 17.42/12.57 (~((~v123(constB184, 1)) <=> v121(constB183, 1))),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32800, 32626])).
% 17.42/12.57 tff(32802,plain,
% 17.42/12.57 ((((~v121(constB183, 2)) <=> v124(constB183, 2)) | ((~v121(constB183, 0)) <=> v124(constB183, 0)) | ((~v121(constB183, 1)) <=> v124(constB183, 1))) | (~((~v121(constB183, 1)) <=> v124(constB183, 1)))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32803,plain,
% 17.42/12.57 (~((~v121(constB183, 1)) <=> v124(constB183, 1))),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32802, 32640])).
% 17.42/12.57 tff(32804,plain,
% 17.42/12.57 ((v124(constB183, 0) | (~v124(constB183, 2)) | (~v124(constB183, 1))) | v124(constB183, 1)),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32805,plain,
% 17.42/12.57 (v124(constB183, 1)),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32804, 32694])).
% 17.42/12.57 tff(32806,plain,
% 17.42/12.57 (((~v121(constB183, 1)) <=> v124(constB183, 1)) | v121(constB183, 1) | (~v124(constB183, 1))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32807,plain,
% 17.42/12.57 (v121(constB183, 1)),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32806, 32805, 32803])).
% 17.42/12.57 tff(32808,plain,
% 17.42/12.57 (((~v123(constB184, 1)) <=> v121(constB183, 1)) | v123(constB184, 1) | (~v121(constB183, 1))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32809,plain,
% 17.42/12.57 (v123(constB184, 1)),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32808, 32807, 32801])).
% 17.42/12.57 tff(32810,plain,
% 17.42/12.57 ((((~v84(constB184, 2)) <=> v123(constB184, 2)) | ((~v84(constB184, 1)) <=> v123(constB184, 1)) | ((~v84(constB184, 0)) <=> v123(constB184, 0))) | (~((~v84(constB184, 1)) <=> v123(constB184, 1)))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32811,plain,
% 17.42/12.57 (~((~v84(constB184, 1)) <=> v123(constB184, 1))),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32810, 32780])).
% 17.42/12.57 tff(32812,plain,
% 17.42/12.57 (((~v84(constB184, 1)) <=> v123(constB184, 1)) | v84(constB184, 1) | (~v123(constB184, 1))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32813,plain,
% 17.42/12.57 (v84(constB184, 1)),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32812, 32811, 32809])).
% 17.42/12.57 tff(32814,plain,
% 17.42/12.57 (((~v84(constB185, 1)) <=> v84(constB184, 1)) | v84(constB185, 1) | (~v84(constB184, 1))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32815,plain,
% 17.42/12.57 (v84(constB185, 1)),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32814, 32813, 32799])).
% 17.42/12.57 tff(32816,plain,
% 17.42/12.57 ((v84(constB185, 1) | (~v84(constB185, 2)) | (~v84(constB185, 0))) | (~v84(constB185, 1))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32817,plain,
% 17.42/12.57 (v84(constB185, 1) | (~v84(constB185, 2)) | (~v84(constB185, 0))),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32816, 32815])).
% 17.42/12.57 tff(32818,plain,
% 17.42/12.57 ((~(v118(constB185) <=> (~(v84(constB185, 1) | (~v84(constB185, 2)) | (~v84(constB185, 0)))))) | (~v118(constB185)) | (~(v84(constB185, 1) | (~v84(constB185, 2)) | (~v84(constB185, 0))))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32819,plain,
% 17.42/12.57 (~v118(constB185)),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32818, 32817, 32797])).
% 17.42/12.57 tff(32820,plain,
% 17.42/12.57 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB185) <=> (~(v84(constB185, 1) | v84(constB185, 0) | (~v84(constB185, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB185) <=> (~(v84(constB185, 1) | v84(constB185, 0) | (~v84(constB185, 2))))))),
% 17.42/12.57 inference(rewrite,[status(thm)],[])).
% 17.42/12.57 tff(32821,plain,
% 17.42/12.57 ((v117(constB185) <=> (~(v84(constB185, 0) | v84(constB185, 1) | (~v84(constB185, 2))))) <=> (v117(constB185) <=> (~(v84(constB185, 1) | v84(constB185, 0) | (~v84(constB185, 2)))))),
% 17.42/12.57 inference(rewrite,[status(thm)],[])).
% 17.42/12.57 tff(32822,plain,
% 17.42/12.57 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB185) <=> (~(v84(constB185, 0) | v84(constB185, 1) | (~v84(constB185, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB185) <=> (~(v84(constB185, 1) | v84(constB185, 0) | (~v84(constB185, 2))))))),
% 17.42/12.57 inference(monotonicity,[status(thm)],[32821])).
% 17.42/12.57 tff(32823,plain,
% 17.42/12.57 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB185) <=> (~(v84(constB185, 0) | v84(constB185, 1) | (~v84(constB185, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB185) <=> (~(v84(constB185, 1) | v84(constB185, 0) | (~v84(constB185, 2))))))),
% 17.42/12.57 inference(transitivity,[status(thm)],[32822, 32820])).
% 17.42/12.57 tff(32824,plain,
% 17.42/12.57 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB185) <=> (~(v84(constB185, 0) | v84(constB185, 1) | (~v84(constB185, 2)))))),
% 17.42/12.57 inference(quant_inst,[status(thm)],[])).
% 17.42/12.57 tff(32825,plain,
% 17.42/12.57 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB185) <=> (~(v84(constB185, 1) | v84(constB185, 0) | (~v84(constB185, 2)))))),
% 17.42/12.57 inference(modus_ponens,[status(thm)],[32824, 32823])).
% 17.42/12.57 tff(32826,plain,
% 17.42/12.57 (v117(constB185) <=> (~(v84(constB185, 1) | v84(constB185, 0) | (~v84(constB185, 2))))),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32825, 1199])).
% 17.42/12.57 tff(32827,plain,
% 17.42/12.57 ((v84(constB185, 1) | v84(constB185, 0) | (~v84(constB185, 2))) | (~v84(constB185, 1))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32828,plain,
% 17.42/12.57 (v84(constB185, 1) | v84(constB185, 0) | (~v84(constB185, 2))),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32827, 32815])).
% 17.42/12.57 tff(32829,plain,
% 17.42/12.57 ((~(v117(constB185) <=> (~(v84(constB185, 1) | v84(constB185, 0) | (~v84(constB185, 2)))))) | (~v117(constB185)) | (~(v84(constB185, 1) | v84(constB185, 0) | (~v84(constB185, 2))))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32830,plain,
% 17.42/12.57 (~v117(constB185)),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32829, 32828, 32826])).
% 17.42/12.57 tff(32831,plain,
% 17.42/12.57 ((~![VarCurr: state_type] : (v116(VarCurr) <=> (~(v84(VarCurr, 2) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 0)))))) | (v116(constB185) <=> (~(v84(constB185, 2) | (~v84(constB185, 1)) | (~v84(constB185, 0)))))),
% 17.42/12.57 inference(quant_inst,[status(thm)],[])).
% 17.42/12.57 tff(32832,plain,
% 17.42/12.57 (v116(constB185) <=> (~(v84(constB185, 2) | (~v84(constB185, 1)) | (~v84(constB185, 0))))),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32831, 911])).
% 17.42/12.57 tff(32833,plain,
% 17.42/12.57 ((v84(constB185, 2) | (~v84(constB185, 1)) | (~v84(constB185, 0))) | (~v84(constB185, 2))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32834,plain,
% 17.42/12.57 (v84(constB185, 2) | (~v84(constB185, 1)) | (~v84(constB185, 0))),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32833, 32786])).
% 17.42/12.57 tff(32835,plain,
% 17.42/12.57 ((~(v116(constB185) <=> (~(v84(constB185, 2) | (~v84(constB185, 1)) | (~v84(constB185, 0)))))) | (~v116(constB185)) | (~(v84(constB185, 2) | (~v84(constB185, 1)) | (~v84(constB185, 0))))),
% 17.42/12.57 inference(tautology,[status(thm)],[])).
% 17.42/12.57 tff(32836,plain,
% 17.42/12.57 (~v116(constB185)),
% 17.42/12.57 inference(unit_resolution,[status(thm)],[32835, 32834, 32832])).
% 17.42/12.57 tff(32837,plain,
% 17.42/12.57 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB185) <=> (~(v84(constB185, 2) | v84(constB185, 0) | (~v84(constB185, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB185) <=> (~(v84(constB185, 2) | v84(constB185, 0) | (~v84(constB185, 1))))))),
% 17.42/12.57 inference(rewrite,[status(thm)],[])).
% 17.42/12.57 tff(32838,plain,
% 17.42/12.57 ((v115(constB185) <=> (~(v84(constB185, 0) | v84(constB185, 2) | (~v84(constB185, 1))))) <=> (v115(constB185) <=> (~(v84(constB185, 2) | v84(constB185, 0) | (~v84(constB185, 1)))))),
% 17.42/12.57 inference(rewrite,[status(thm)],[])).
% 17.42/12.57 tff(32839,plain,
% 17.42/12.57 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB185) <=> (~(v84(constB185, 0) | v84(constB185, 2) | (~v84(constB185, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB185) <=> (~(v84(constB185, 2) | v84(constB185, 0) | (~v84(constB185, 1))))))),
% 17.42/12.57 inference(monotonicity,[status(thm)],[32838])).
% 17.42/12.57 tff(32840,plain,
% 17.42/12.57 (((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB185) <=> (~(v84(constB185, 0) | v84(constB185, 2) | (~v84(constB185, 1)))))) <=> ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB185) <=> (~(v84(constB185, 2) | v84(constB185, 0) | (~v84(constB185, 1))))))),
% 17.42/12.57 inference(transitivity,[status(thm)],[32839, 32837])).
% 17.42/12.57 tff(32841,plain,
% 17.42/12.57 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB185) <=> (~(v84(constB185, 0) | v84(constB185, 2) | (~v84(constB185, 1)))))),
% 17.42/12.58 inference(quant_inst,[status(thm)],[])).
% 17.42/12.58 tff(32842,plain,
% 17.42/12.58 ((~![VarCurr: state_type] : (v115(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 2) | (~v84(VarCurr, 1)))))) | (v115(constB185) <=> (~(v84(constB185, 2) | v84(constB185, 0) | (~v84(constB185, 1)))))),
% 17.42/12.58 inference(modus_ponens,[status(thm)],[32841, 32840])).
% 17.42/12.58 tff(32843,plain,
% 17.42/12.58 (v115(constB185) <=> (~(v84(constB185, 2) | v84(constB185, 0) | (~v84(constB185, 1))))),
% 17.42/12.58 inference(unit_resolution,[status(thm)],[32842, 985])).
% 17.42/12.58 tff(32844,plain,
% 17.42/12.58 ((v84(constB185, 2) | v84(constB185, 0) | (~v84(constB185, 1))) | (~v84(constB185, 2))),
% 17.42/12.58 inference(tautology,[status(thm)],[])).
% 17.42/12.58 tff(32845,plain,
% 17.42/12.58 (v84(constB185, 2) | v84(constB185, 0) | (~v84(constB185, 1))),
% 17.42/12.58 inference(unit_resolution,[status(thm)],[32844, 32786])).
% 17.42/12.58 tff(32846,plain,
% 17.42/12.58 ((~(v115(constB185) <=> (~(v84(constB185, 2) | v84(constB185, 0) | (~v84(constB185, 1)))))) | (~v115(constB185)) | (~(v84(constB185, 2) | v84(constB185, 0) | (~v84(constB185, 1))))),
% 17.42/12.58 inference(tautology,[status(thm)],[])).
% 17.42/12.58 tff(32847,plain,
% 17.42/12.58 (~v115(constB185)),
% 17.42/12.58 inference(unit_resolution,[status(thm)],[32846, 32845, 32843])).
% 17.42/12.58 tff(32848,plain,
% 17.42/12.58 ((~![VarCurr: state_type] : (v114(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v114(constB185) <=> (~(v84(constB185, 1) | v84(constB185, 2) | (~v84(constB185, 0)))))),
% 17.42/12.58 inference(quant_inst,[status(thm)],[])).
% 17.42/12.58 tff(32849,plain,
% 17.42/12.58 (v114(constB185) <=> (~(v84(constB185, 1) | v84(constB185, 2) | (~v84(constB185, 0))))),
% 17.42/12.58 inference(unit_resolution,[status(thm)],[32848, 1064])).
% 17.42/12.58 tff(32850,plain,
% 17.42/12.58 ((v84(constB185, 1) | v84(constB185, 2) | (~v84(constB185, 0))) | (~v84(constB185, 2))),
% 17.42/12.58 inference(tautology,[status(thm)],[])).
% 17.42/12.58 tff(32851,plain,
% 17.42/12.58 (v84(constB185, 1) | v84(constB185, 2) | (~v84(constB185, 0))),
% 17.42/12.58 inference(unit_resolution,[status(thm)],[32850, 32786])).
% 17.42/12.58 tff(32852,plain,
% 17.42/12.58 ((~(v114(constB185) <=> (~(v84(constB185, 1) | v84(constB185, 2) | (~v84(constB185, 0)))))) | (~v114(constB185)) | (~(v84(constB185, 1) | v84(constB185, 2) | (~v84(constB185, 0))))),
% 17.42/12.58 inference(tautology,[status(thm)],[])).
% 17.42/12.58 tff(32853,plain,
% 17.42/12.58 (~v114(constB185)),
% 17.42/12.58 inference(unit_resolution,[status(thm)],[32852, 32851, 32849])).
% 17.42/12.58 tff(32854,plain,
% 17.42/12.58 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB185) | v114(constB185) | v115(constB185) | v116(constB185) | v117(constB185) | v118(constB185) | (~(v124(constB185, 2) | v124(constB185, 1) | (~v124(constB185, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB185) | v114(constB185) | v115(constB185) | v116(constB185) | v117(constB185) | v118(constB185) | (~(v124(constB185, 2) | v124(constB185, 1) | (~v124(constB185, 0)))))),
% 17.42/12.58 inference(rewrite,[status(thm)],[])).
% 17.42/12.58 tff(32855,plain,
% 17.42/12.58 ((v118(constB185) | v117(constB185) | v116(constB185) | v115(constB185) | v114(constB185) | v113(constB185) | (~(v124(constB185, 2) | v124(constB185, 1) | (~v124(constB185, 0))))) <=> (v113(constB185) | v114(constB185) | v115(constB185) | v116(constB185) | v117(constB185) | v118(constB185) | (~(v124(constB185, 2) | v124(constB185, 1) | (~v124(constB185, 0)))))),
% 17.42/12.58 inference(rewrite,[status(thm)],[])).
% 17.42/12.58 tff(32856,plain,
% 17.42/12.58 ((~(v124(constB185, 1) | v124(constB185, 2) | (~v124(constB185, 0)))) <=> (~(v124(constB185, 2) | v124(constB185, 1) | (~v124(constB185, 0))))),
% 17.42/12.58 inference(rewrite,[status(thm)],[])).
% 17.42/12.58 tff(32857,plain,
% 17.42/12.58 ((v118(constB185) | v117(constB185) | v116(constB185) | v115(constB185) | v114(constB185) | v113(constB185) | (~(v124(constB185, 1) | v124(constB185, 2) | (~v124(constB185, 0))))) <=> (v118(constB185) | v117(constB185) | v116(constB185) | v115(constB185) | v114(constB185) | v113(constB185) | (~(v124(constB185, 2) | v124(constB185, 1) | (~v124(constB185, 0)))))),
% 17.42/12.58 inference(monotonicity,[status(thm)],[32856])).
% 17.42/12.58 tff(32858,plain,
% 17.42/12.58 ((v118(constB185) | v117(constB185) | v116(constB185) | v115(constB185) | v114(constB185) | v113(constB185) | (~(v124(constB185, 1) | v124(constB185, 2) | (~v124(constB185, 0))))) <=> (v113(constB185) | v114(constB185) | v115(constB185) | v116(constB185) | v117(constB185) | v118(constB185) | (~(v124(constB185, 2) | v124(constB185, 1) | (~v124(constB185, 0)))))),
% 17.42/12.58 inference(transitivity,[status(thm)],[32857, 32855])).
% 17.42/12.58 tff(32859,plain,
% 17.42/12.58 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB185) | v117(constB185) | v116(constB185) | v115(constB185) | v114(constB185) | v113(constB185) | (~(v124(constB185, 1) | v124(constB185, 2) | (~v124(constB185, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v113(constB185) | v114(constB185) | v115(constB185) | v116(constB185) | v117(constB185) | v118(constB185) | (~(v124(constB185, 2) | v124(constB185, 1) | (~v124(constB185, 0))))))),
% 17.42/12.58 inference(monotonicity,[status(thm)],[32858])).
% 17.42/12.58 tff(32860,plain,
% 17.42/12.58 (((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB185) | v117(constB185) | v116(constB185) | v115(constB185) | v114(constB185) | v113(constB185) | (~(v124(constB185, 1) | v124(constB185, 2) | (~v124(constB185, 0)))))) <=> ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB185) | v114(constB185) | v115(constB185) | v116(constB185) | v117(constB185) | v118(constB185) | (~(v124(constB185, 2) | v124(constB185, 1) | (~v124(constB185, 0)))))),
% 17.42/12.58 inference(transitivity,[status(thm)],[32859, 32854])).
% 17.42/12.58 tff(32861,plain,
% 17.42/12.58 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | (v118(constB185) | v117(constB185) | v116(constB185) | v115(constB185) | v114(constB185) | v113(constB185) | (~(v124(constB185, 1) | v124(constB185, 2) | (~v124(constB185, 0)))))),
% 17.42/12.58 inference(quant_inst,[status(thm)],[])).
% 17.42/12.58 tff(32862,plain,
% 17.42/12.58 ((~![VarCurr: state_type] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | (~(v124(VarCurr, 1) | v124(VarCurr, 2) | (~v124(VarCurr, 0)))))) | v113(constB185) | v114(constB185) | v115(constB185) | v116(constB185) | v117(constB185) | v118(constB185) | (~(v124(constB185, 2) | v124(constB185, 1) | (~v124(constB185, 0))))),
% 17.42/12.58 inference(modus_ponens,[status(thm)],[32861, 32860])).
% 17.42/12.58 tff(32863,plain,
% 17.42/12.58 (v113(constB185) | v114(constB185) | v115(constB185) | v116(constB185) | v117(constB185) | v118(constB185) | (~(v124(constB185, 2) | v124(constB185, 1) | (~v124(constB185, 0))))),
% 17.42/12.58 inference(unit_resolution,[status(thm)],[32862, 2777])).
% 17.42/12.58 tff(32864,plain,
% 17.42/12.58 (~(v124(constB185, 2) | v124(constB185, 1) | (~v124(constB185, 0)))),
% 17.42/12.58 inference(unit_resolution,[status(thm)],[32863, 32853, 32847, 32836, 32830, 32819, 32790])).
% 17.42/12.58 tff(32865,plain,
% 17.42/12.58 ((v124(constB185, 2) | v124(constB185, 1) | (~v124(constB185, 0))) | (~v124(constB185, 2))),
% 17.42/12.58 inference(tautology,[status(thm)],[])).
% 17.42/12.58 tff(32866,plain,
% 17.42/12.58 (~v124(constB185, 2)),
% 17.42/12.58 inference(unit_resolution,[status(thm)],[32865, 32864])).
% 17.42/12.58 tff(32867,plain,
% 17.42/12.58 (((~v121(constB185, 2)) <=> v124(constB185, 2)) | (~v121(constB185, 2)) | v124(constB185, 2)),
% 17.42/12.58 inference(tautology,[status(thm)],[])).
% 17.42/12.58 tff(32868,plain,
% 17.42/12.58 (~v121(constB185, 2)),
% 17.42/12.58 inference(unit_resolution,[status(thm)],[32867, 32866, 32590])).
% 17.45/12.58 tff(32869,plain,
% 17.45/12.58 (((~v123(constB186, 2)) <=> v121(constB185, 2)) | (~v123(constB186, 2)) | v121(constB185, 2)),
% 17.45/12.58 inference(tautology,[status(thm)],[])).
% 17.45/12.58 tff(32870,plain,
% 17.45/12.58 (~v123(constB186, 2)),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32869, 32868, 32576])).
% 17.45/12.58 tff(32871,plain,
% 17.45/12.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB185, constB186)) | (v94(constB186) <=> (~((~v95(constB186)) | (~v104(constB186))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB185, constB186)) | (v94(constB186) <=> (~((~v95(constB186)) | (~v104(constB186))))))),
% 17.45/12.58 inference(rewrite,[status(thm)],[])).
% 17.45/12.58 tff(32872,plain,
% 17.45/12.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB185, constB186)) | (v94(constB186) <=> (~((~v95(constB186)) | (~v104(constB186))))))),
% 17.45/12.58 inference(quant_inst,[status(thm)],[])).
% 17.45/12.58 tff(32873,plain,
% 17.45/12.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB185, constB186)) | (v94(constB186) <=> (~((~v95(constB186)) | (~v104(constB186)))))),
% 17.45/12.58 inference(modus_ponens,[status(thm)],[32872, 32871])).
% 17.45/12.58 tff(32874,plain,
% 17.45/12.58 (v94(constB186) <=> (~((~v95(constB186)) | (~v104(constB186))))),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32873, 22094, 770])).
% 17.45/12.58 tff(32875,plain,
% 17.45/12.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186))))))),
% 17.45/12.58 inference(rewrite,[status(thm)],[])).
% 17.45/12.58 tff(32876,plain,
% 17.45/12.58 (((~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v96(constB186)) | (~v1(constB186)))))) <=> ((~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186))))))),
% 17.45/12.58 inference(rewrite,[status(thm)],[])).
% 17.45/12.58 tff(32877,plain,
% 17.45/12.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v96(constB186)) | (~v1(constB186))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186)))))))),
% 17.45/12.58 inference(monotonicity,[status(thm)],[32876])).
% 17.45/12.58 tff(32878,plain,
% 17.45/12.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v96(constB186)) | (~v1(constB186))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186))))))),
% 17.45/12.58 inference(transitivity,[status(thm)],[32877, 32875])).
% 17.45/12.58 tff(32879,plain,
% 17.45/12.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v96(constB186)) | (~v1(constB186))))))),
% 17.45/12.58 inference(quant_inst,[status(thm)],[])).
% 17.45/12.58 tff(32880,plain,
% 17.45/12.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186)))))),
% 17.45/12.58 inference(modus_ponens,[status(thm)],[32879, 32878])).
% 17.45/12.58 tff(32881,plain,
% 17.45/12.58 (v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186))))),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32880, 22094, 790])).
% 17.45/12.58 tff(32882,plain,
% 17.45/12.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB185, constB186)) | ((~v96(constB186)) <=> v98(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB185, constB186)) | ((~v96(constB186)) <=> v98(constB186)))),
% 17.45/12.58 inference(rewrite,[status(thm)],[])).
% 17.45/12.58 tff(32883,plain,
% 17.45/12.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB185, constB186)) | ((~v96(constB186)) <=> v98(constB186)))),
% 17.45/12.58 inference(quant_inst,[status(thm)],[])).
% 17.45/12.58 tff(32884,plain,
% 17.45/12.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB185, constB186)) | ((~v96(constB186)) <=> v98(constB186))),
% 17.45/12.58 inference(modus_ponens,[status(thm)],[32883, 32882])).
% 17.45/12.58 tff(32885,plain,
% 17.45/12.58 ((~v96(constB186)) <=> v98(constB186)),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32884, 22094, 2332])).
% 17.45/12.58 tff(32886,plain,
% 17.45/12.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB185, constB186)) | (v98(constB186) <=> v1(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB185, constB186)) | (v98(constB186) <=> v1(constB185)))),
% 17.45/12.58 inference(rewrite,[status(thm)],[])).
% 17.45/12.58 tff(32887,plain,
% 17.45/12.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB185, constB186)) | (v98(constB186) <=> v1(constB185)))),
% 17.45/12.58 inference(quant_inst,[status(thm)],[])).
% 17.45/12.58 tff(32888,plain,
% 17.45/12.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB185, constB186)) | (v98(constB186) <=> v1(constB185))),
% 17.45/12.58 inference(modus_ponens,[status(thm)],[32887, 32886])).
% 17.45/12.58 tff(32889,plain,
% 17.45/12.58 (v98(constB186) <=> v1(constB185)),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32888, 22094, 2346])).
% 17.45/12.58 tff(32890,plain,
% 17.45/12.58 ((~(v98(constB186) <=> v1(constB185))) | (~v98(constB186)) | v1(constB185)),
% 17.45/12.58 inference(tautology,[status(thm)],[])).
% 17.45/12.58 tff(32891,plain,
% 17.45/12.58 ((~(v98(constB186) <=> v1(constB185))) | (~v98(constB186))),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32890, 22158])).
% 17.45/12.58 tff(32892,plain,
% 17.45/12.58 (~v98(constB186)),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32891, 32889])).
% 17.45/12.58 tff(32893,plain,
% 17.45/12.58 ((~((~v96(constB186)) <=> v98(constB186))) | v96(constB186) | v98(constB186)),
% 17.45/12.58 inference(tautology,[status(thm)],[])).
% 17.45/12.58 tff(32894,plain,
% 17.45/12.58 (v96(constB186)),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32893, 32892, 32885])).
% 17.45/12.58 tff(32895,plain,
% 17.45/12.58 ((~((~v1(constB186)) | (~v96(constB186)))) | (~v1(constB186)) | (~v96(constB186))),
% 17.45/12.58 inference(tautology,[status(thm)],[])).
% 17.45/12.58 tff(32896,plain,
% 17.45/12.58 ((~((~v1(constB186)) | (~v96(constB186)))) | (~v96(constB186))),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32895, 22065])).
% 17.45/12.58 tff(32897,plain,
% 17.45/12.58 (~((~v1(constB186)) | (~v96(constB186)))),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32896, 32894])).
% 17.45/12.58 tff(32898,plain,
% 17.45/12.58 ((~(v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186)))))) | v95(constB186) | ((~v1(constB186)) | (~v96(constB186)))),
% 17.45/12.58 inference(tautology,[status(thm)],[])).
% 17.45/12.58 tff(32899,plain,
% 17.45/12.58 (v95(constB186)),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32898, 32897, 32881])).
% 17.45/12.58 tff(32900,plain,
% 17.45/12.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB185, constB186)) | (v104(constB186) <=> v102(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB185, constB186)) | (v104(constB186) <=> v102(constB185)))),
% 17.45/12.58 inference(rewrite,[status(thm)],[])).
% 17.45/12.58 tff(32901,plain,
% 17.45/12.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB185, constB186)) | (v104(constB186) <=> v102(constB185)))),
% 17.45/12.58 inference(quant_inst,[status(thm)],[])).
% 17.45/12.58 tff(32902,plain,
% 17.45/12.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB185, constB186)) | (v104(constB186) <=> v102(constB185))),
% 17.45/12.58 inference(modus_ponens,[status(thm)],[32901, 32900])).
% 17.45/12.58 tff(32903,plain,
% 17.45/12.58 (v104(constB186) <=> v102(constB185)),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32902, 22094, 2373])).
% 17.45/12.58 tff(32904,plain,
% 17.45/12.58 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB185) <=> (v105(constB185) | v106(constB185)))),
% 17.45/12.58 inference(quant_inst,[status(thm)],[])).
% 17.45/12.58 tff(32905,plain,
% 17.45/12.58 (v102(constB185) <=> (v105(constB185) | v106(constB185))),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32904, 2384])).
% 17.45/12.58 tff(32906,plain,
% 17.45/12.58 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB185) <=> (~((~v107(constB185)) | (~v120(constB185)))))),
% 17.45/12.58 inference(quant_inst,[status(thm)],[])).
% 17.45/12.58 tff(32907,plain,
% 17.45/12.58 (v106(constB185) <=> (~((~v107(constB185)) | (~v120(constB185))))),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32906, 2396])).
% 17.45/12.58 tff(32908,plain,
% 17.45/12.58 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB185) <=> (v108(constB185) | v119(constB185)))),
% 17.45/12.58 inference(quant_inst,[status(thm)],[])).
% 17.45/12.58 tff(32909,plain,
% 17.45/12.58 (v107(constB185) <=> (v108(constB185) | v119(constB185))),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32908, 2405])).
% 17.45/12.58 tff(32910,plain,
% 17.45/12.58 ((~![VarCurr: state_type] : (v119(VarCurr) <=> (~(v84(VarCurr, 0) | (~v84(VarCurr, 1)) | (~v84(VarCurr, 2)))))) | (v119(constB185) <=> (~(v84(constB185, 0) | (~v84(constB185, 1)) | (~v84(constB185, 2)))))),
% 17.45/12.58 inference(quant_inst,[status(thm)],[])).
% 17.45/12.58 tff(32911,plain,
% 17.45/12.58 (v119(constB185) <=> (~(v84(constB185, 0) | (~v84(constB185, 1)) | (~v84(constB185, 2))))),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32910, 2849])).
% 17.45/12.58 tff(32912,plain,
% 17.45/12.58 ((((~v84(constB185, 1)) <=> v84(constB184, 1)) | ((~v84(constB185, 2)) <=> v84(constB184, 2)) | ((~v84(constB185, 0)) <=> v84(constB184, 0))) | (~((~v84(constB185, 0)) <=> v84(constB184, 0)))),
% 17.45/12.58 inference(tautology,[status(thm)],[])).
% 17.45/12.58 tff(32913,plain,
% 17.45/12.58 (~((~v84(constB185, 0)) <=> v84(constB184, 0))),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32912, 32620])).
% 17.45/12.58 tff(32914,plain,
% 17.45/12.58 ((((~v123(constB184, 2)) <=> v121(constB183, 2)) | ((~v123(constB184, 1)) <=> v121(constB183, 1)) | ((~v123(constB184, 0)) <=> v121(constB183, 0))) | (~((~v123(constB184, 0)) <=> v121(constB183, 0)))),
% 17.45/12.58 inference(tautology,[status(thm)],[])).
% 17.45/12.58 tff(32915,plain,
% 17.45/12.58 (~((~v123(constB184, 0)) <=> v121(constB183, 0))),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32914, 32626])).
% 17.45/12.58 tff(32916,plain,
% 17.45/12.58 ((((~v121(constB183, 2)) <=> v124(constB183, 2)) | ((~v121(constB183, 0)) <=> v124(constB183, 0)) | ((~v121(constB183, 1)) <=> v124(constB183, 1))) | (~((~v121(constB183, 0)) <=> v124(constB183, 0)))),
% 17.45/12.58 inference(tautology,[status(thm)],[])).
% 17.45/12.58 tff(32917,plain,
% 17.45/12.58 (~((~v121(constB183, 0)) <=> v124(constB183, 0))),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32916, 32640])).
% 17.45/12.58 tff(32918,plain,
% 17.45/12.58 ((v124(constB183, 0) | (~v124(constB183, 2)) | (~v124(constB183, 1))) | (~v124(constB183, 0))),
% 17.45/12.58 inference(tautology,[status(thm)],[])).
% 17.45/12.58 tff(32919,plain,
% 17.45/12.58 (~v124(constB183, 0)),
% 17.45/12.58 inference(unit_resolution,[status(thm)],[32918, 32694])).
% 17.45/12.58 tff(32920,plain,
% 17.45/12.58 (((~v121(constB183, 0)) <=> v124(constB183, 0)) | (~v121(constB183, 0)) | v124(constB183, 0)),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32921,plain,
% 17.45/12.59 (~v121(constB183, 0)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32920, 32919, 32917])).
% 17.45/12.59 tff(32922,plain,
% 17.45/12.59 (((~v123(constB184, 0)) <=> v121(constB183, 0)) | (~v123(constB184, 0)) | v121(constB183, 0)),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32923,plain,
% 17.45/12.59 (~v123(constB184, 0)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32922, 32921, 32915])).
% 17.45/12.59 tff(32924,plain,
% 17.45/12.59 ((((~v84(constB184, 2)) <=> v123(constB184, 2)) | ((~v84(constB184, 1)) <=> v123(constB184, 1)) | ((~v84(constB184, 0)) <=> v123(constB184, 0))) | (~((~v84(constB184, 0)) <=> v123(constB184, 0)))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32925,plain,
% 17.45/12.59 (~((~v84(constB184, 0)) <=> v123(constB184, 0))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32924, 32780])).
% 17.45/12.59 tff(32926,plain,
% 17.45/12.59 (((~v84(constB184, 0)) <=> v123(constB184, 0)) | (~v84(constB184, 0)) | v123(constB184, 0)),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32927,plain,
% 17.45/12.59 (~v84(constB184, 0)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32926, 32925, 32923])).
% 17.45/12.59 tff(32928,plain,
% 17.45/12.59 (((~v84(constB185, 0)) <=> v84(constB184, 0)) | (~v84(constB185, 0)) | v84(constB184, 0)),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32929,plain,
% 17.45/12.59 (~v84(constB185, 0)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32928, 32927, 32913])).
% 17.45/12.59 tff(32930,plain,
% 17.45/12.59 ((~(v84(constB185, 0) | (~v84(constB185, 1)) | (~v84(constB185, 2)))) | v84(constB185, 0) | (~v84(constB185, 1)) | (~v84(constB185, 2))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32931,plain,
% 17.45/12.59 (~(v84(constB185, 0) | (~v84(constB185, 1)) | (~v84(constB185, 2)))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32930, 32815, 32929, 32786])).
% 17.45/12.59 tff(32932,plain,
% 17.45/12.59 ((~(v119(constB185) <=> (~(v84(constB185, 0) | (~v84(constB185, 1)) | (~v84(constB185, 2)))))) | v119(constB185) | (v84(constB185, 0) | (~v84(constB185, 1)) | (~v84(constB185, 2)))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32933,plain,
% 17.45/12.59 (v119(constB185)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32932, 32931, 32911])).
% 17.45/12.59 tff(32934,plain,
% 17.45/12.59 ((v108(constB185) | v119(constB185)) | (~v119(constB185))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32935,plain,
% 17.45/12.59 (v108(constB185) | v119(constB185)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32934, 32933])).
% 17.45/12.59 tff(32936,plain,
% 17.45/12.59 ((~(v107(constB185) <=> (v108(constB185) | v119(constB185)))) | v107(constB185) | (~(v108(constB185) | v119(constB185)))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32937,plain,
% 17.45/12.59 (v107(constB185)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32936, 32935, 32909])).
% 17.45/12.59 tff(32938,plain,
% 17.45/12.59 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB185)) <=> v105(constB185))),
% 17.45/12.59 inference(quant_inst,[status(thm)],[])).
% 17.45/12.59 tff(32939,plain,
% 17.45/12.59 ((~v120(constB185)) <=> v105(constB185)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32938, 2484])).
% 17.45/12.59 tff(32940,plain,
% 17.45/12.59 ((~((~v120(constB185)) <=> v105(constB185))) | v120(constB185) | v105(constB185)),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32941,plain,
% 17.45/12.59 ((~((~v120(constB185)) <=> v105(constB185))) | v120(constB185)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32940, 32583])).
% 17.45/12.59 tff(32942,plain,
% 17.45/12.59 (v120(constB185)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32941, 32939])).
% 17.45/12.59 tff(32943,plain,
% 17.45/12.59 ((~((~v107(constB185)) | (~v120(constB185)))) | (~v107(constB185)) | (~v120(constB185))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32944,plain,
% 17.45/12.59 ((~((~v107(constB185)) | (~v120(constB185)))) | (~v107(constB185))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32943, 32942])).
% 17.45/12.59 tff(32945,plain,
% 17.45/12.59 (~((~v107(constB185)) | (~v120(constB185)))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32944, 32937])).
% 17.45/12.59 tff(32946,plain,
% 17.45/12.59 ((~(v106(constB185) <=> (~((~v107(constB185)) | (~v120(constB185)))))) | v106(constB185) | ((~v107(constB185)) | (~v120(constB185)))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32947,plain,
% 17.45/12.59 (v106(constB185)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32946, 32945, 32907])).
% 17.45/12.59 tff(32948,plain,
% 17.45/12.59 ((v105(constB185) | v106(constB185)) | (~v106(constB185))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32949,plain,
% 17.45/12.59 (v105(constB185) | v106(constB185)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32948, 32947])).
% 17.45/12.59 tff(32950,plain,
% 17.45/12.59 ((~(v102(constB185) <=> (v105(constB185) | v106(constB185)))) | v102(constB185) | (~(v105(constB185) | v106(constB185)))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32951,plain,
% 17.45/12.59 (v102(constB185)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32950, 32949, 32905])).
% 17.45/12.59 tff(32952,plain,
% 17.45/12.59 ((~(v104(constB186) <=> v102(constB185))) | v104(constB186) | (~v102(constB185))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32953,plain,
% 17.45/12.59 (v104(constB186)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32952, 32951, 32903])).
% 17.45/12.59 tff(32954,plain,
% 17.45/12.59 ((~((~v95(constB186)) | (~v104(constB186)))) | (~v95(constB186)) | (~v104(constB186))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32955,plain,
% 17.45/12.59 (~((~v95(constB186)) | (~v104(constB186)))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32954, 32953, 32899])).
% 17.45/12.59 tff(32956,plain,
% 17.45/12.59 ((~(v94(constB186) <=> (~((~v95(constB186)) | (~v104(constB186)))))) | v94(constB186) | ((~v95(constB186)) | (~v104(constB186)))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32957,plain,
% 17.45/12.59 (v94(constB186)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32956, 32955, 32874])).
% 17.45/12.59 tff(32958,plain,
% 17.45/12.59 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB186)) | (~(((~v84(constB186, 0)) <=> v123(constB186, 0)) | ((~v84(constB186, 2)) <=> v123(constB186, 2)) | ((~v84(constB186, 1)) <=> v123(constB186, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB186)) | (~(((~v84(constB186, 0)) <=> v123(constB186, 0)) | ((~v84(constB186, 2)) <=> v123(constB186, 2)) | ((~v84(constB186, 1)) <=> v123(constB186, 1)))))),
% 17.45/12.59 inference(rewrite,[status(thm)],[])).
% 17.45/12.59 tff(32959,plain,
% 17.45/12.59 (((~v94(constB186)) | (~(((~v84(constB186, 2)) <=> v123(constB186, 2)) | ((~v84(constB186, 1)) <=> v123(constB186, 1)) | ((~v84(constB186, 0)) <=> v123(constB186, 0))))) <=> ((~v94(constB186)) | (~(((~v84(constB186, 0)) <=> v123(constB186, 0)) | ((~v84(constB186, 2)) <=> v123(constB186, 2)) | ((~v84(constB186, 1)) <=> v123(constB186, 1)))))),
% 17.45/12.59 inference(rewrite,[status(thm)],[])).
% 17.45/12.59 tff(32960,plain,
% 17.45/12.59 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB186)) | (~(((~v84(constB186, 2)) <=> v123(constB186, 2)) | ((~v84(constB186, 1)) <=> v123(constB186, 1)) | ((~v84(constB186, 0)) <=> v123(constB186, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB186)) | (~(((~v84(constB186, 0)) <=> v123(constB186, 0)) | ((~v84(constB186, 2)) <=> v123(constB186, 2)) | ((~v84(constB186, 1)) <=> v123(constB186, 1))))))),
% 17.45/12.59 inference(monotonicity,[status(thm)],[32959])).
% 17.45/12.59 tff(32961,plain,
% 17.45/12.59 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB186)) | (~(((~v84(constB186, 2)) <=> v123(constB186, 2)) | ((~v84(constB186, 1)) <=> v123(constB186, 1)) | ((~v84(constB186, 0)) <=> v123(constB186, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB186)) | (~(((~v84(constB186, 0)) <=> v123(constB186, 0)) | ((~v84(constB186, 2)) <=> v123(constB186, 2)) | ((~v84(constB186, 1)) <=> v123(constB186, 1)))))),
% 17.45/12.59 inference(transitivity,[status(thm)],[32960, 32958])).
% 17.45/12.59 tff(32962,plain,
% 17.45/12.59 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB186)) | (~(((~v84(constB186, 2)) <=> v123(constB186, 2)) | ((~v84(constB186, 1)) <=> v123(constB186, 1)) | ((~v84(constB186, 0)) <=> v123(constB186, 0)))))),
% 17.45/12.59 inference(quant_inst,[status(thm)],[])).
% 17.45/12.59 tff(32963,plain,
% 17.45/12.59 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB186)) | (~(((~v84(constB186, 0)) <=> v123(constB186, 0)) | ((~v84(constB186, 2)) <=> v123(constB186, 2)) | ((~v84(constB186, 1)) <=> v123(constB186, 1))))),
% 17.45/12.59 inference(modus_ponens,[status(thm)],[32962, 32961])).
% 17.45/12.59 tff(32964,plain,
% 17.45/12.59 ((~v94(constB186)) | (~(((~v84(constB186, 0)) <=> v123(constB186, 0)) | ((~v84(constB186, 2)) <=> v123(constB186, 2)) | ((~v84(constB186, 1)) <=> v123(constB186, 1))))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32963, 2517])).
% 17.45/12.59 tff(32965,plain,
% 17.45/12.59 (~(((~v84(constB186, 0)) <=> v123(constB186, 0)) | ((~v84(constB186, 2)) <=> v123(constB186, 2)) | ((~v84(constB186, 1)) <=> v123(constB186, 1)))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32964, 32957])).
% 17.45/12.59 tff(32966,plain,
% 17.45/12.59 ((((~v84(constB186, 0)) <=> v123(constB186, 0)) | ((~v84(constB186, 2)) <=> v123(constB186, 2)) | ((~v84(constB186, 1)) <=> v123(constB186, 1))) | (~((~v84(constB186, 2)) <=> v123(constB186, 2)))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32967,plain,
% 17.45/12.59 (~((~v84(constB186, 2)) <=> v123(constB186, 2))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32966, 32965])).
% 17.45/12.59 tff(32968,plain,
% 17.45/12.59 (((~v84(constB186, 2)) <=> v123(constB186, 2)) | (~v84(constB186, 2)) | v123(constB186, 2)),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32969,plain,
% 17.45/12.59 (~v84(constB186, 2)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32968, 32967, 32870])).
% 17.45/12.59 tff(32970,plain,
% 17.45/12.59 (((~v84(constB187, 2)) <=> v84(constB186, 2)) | (~v84(constB187, 2)) | v84(constB186, 2)),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32971,plain,
% 17.45/12.59 (~v84(constB187, 2)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32970, 32969, 32570])).
% 17.45/12.59 tff(32972,plain,
% 17.45/12.59 ((((~v84(constB187, 1)) <=> v84(constB186, 1)) | ((~v84(constB187, 2)) <=> v84(constB186, 2)) | ((~v84(constB187, 0)) <=> v84(constB186, 0))) | (~((~v84(constB187, 0)) <=> v84(constB186, 0)))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32973,plain,
% 17.45/12.59 (~((~v84(constB187, 0)) <=> v84(constB186, 0))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32972, 32568])).
% 17.45/12.59 tff(32974,plain,
% 17.45/12.59 ((((~v123(constB186, 2)) <=> v121(constB185, 2)) | ((~v123(constB186, 1)) <=> v121(constB185, 1)) | ((~v123(constB186, 0)) <=> v121(constB185, 0))) | (~((~v123(constB186, 0)) <=> v121(constB185, 0)))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32975,plain,
% 17.45/12.59 (~((~v123(constB186, 0)) <=> v121(constB185, 0))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32974, 32574])).
% 17.45/12.59 tff(32976,plain,
% 17.45/12.59 ((((~v121(constB185, 2)) <=> v124(constB185, 2)) | ((~v121(constB185, 0)) <=> v124(constB185, 0)) | ((~v121(constB185, 1)) <=> v124(constB185, 1))) | (~((~v121(constB185, 0)) <=> v124(constB185, 0)))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32977,plain,
% 17.45/12.59 (~((~v121(constB185, 0)) <=> v124(constB185, 0))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32976, 32588])).
% 17.45/12.59 tff(32978,plain,
% 17.45/12.59 ((v124(constB185, 2) | v124(constB185, 1) | (~v124(constB185, 0))) | v124(constB185, 0)),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32979,plain,
% 17.45/12.59 (v124(constB185, 0)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32978, 32864])).
% 17.45/12.59 tff(32980,plain,
% 17.45/12.59 (((~v121(constB185, 0)) <=> v124(constB185, 0)) | v121(constB185, 0) | (~v124(constB185, 0))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32981,plain,
% 17.45/12.59 (v121(constB185, 0)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32980, 32979, 32977])).
% 17.45/12.59 tff(32982,plain,
% 17.45/12.59 (((~v123(constB186, 0)) <=> v121(constB185, 0)) | v123(constB186, 0) | (~v121(constB185, 0))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32983,plain,
% 17.45/12.59 (v123(constB186, 0)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32982, 32981, 32975])).
% 17.45/12.59 tff(32984,plain,
% 17.45/12.59 ((((~v84(constB186, 0)) <=> v123(constB186, 0)) | ((~v84(constB186, 2)) <=> v123(constB186, 2)) | ((~v84(constB186, 1)) <=> v123(constB186, 1))) | (~((~v84(constB186, 0)) <=> v123(constB186, 0)))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32985,plain,
% 17.45/12.59 (~((~v84(constB186, 0)) <=> v123(constB186, 0))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32984, 32965])).
% 17.45/12.59 tff(32986,plain,
% 17.45/12.59 (((~v84(constB186, 0)) <=> v123(constB186, 0)) | v84(constB186, 0) | (~v123(constB186, 0))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32987,plain,
% 17.45/12.59 (v84(constB186, 0)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32986, 32985, 32983])).
% 17.45/12.59 tff(32988,plain,
% 17.45/12.59 (((~v84(constB187, 0)) <=> v84(constB186, 0)) | v84(constB187, 0) | (~v84(constB186, 0))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32989,plain,
% 17.45/12.59 (v84(constB187, 0)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32988, 32987, 32973])).
% 17.45/12.59 tff(32990,plain,
% 17.45/12.59 ((((~v84(constB187, 1)) <=> v84(constB186, 1)) | ((~v84(constB187, 2)) <=> v84(constB186, 2)) | ((~v84(constB187, 0)) <=> v84(constB186, 0))) | (~((~v84(constB187, 1)) <=> v84(constB186, 1)))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32991,plain,
% 17.45/12.59 (~((~v84(constB187, 1)) <=> v84(constB186, 1))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32990, 32568])).
% 17.45/12.59 tff(32992,plain,
% 17.45/12.59 ((((~v123(constB186, 2)) <=> v121(constB185, 2)) | ((~v123(constB186, 1)) <=> v121(constB185, 1)) | ((~v123(constB186, 0)) <=> v121(constB185, 0))) | (~((~v123(constB186, 1)) <=> v121(constB185, 1)))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32993,plain,
% 17.45/12.59 (~((~v123(constB186, 1)) <=> v121(constB185, 1))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32992, 32574])).
% 17.45/12.59 tff(32994,plain,
% 17.45/12.59 ((((~v121(constB185, 2)) <=> v124(constB185, 2)) | ((~v121(constB185, 0)) <=> v124(constB185, 0)) | ((~v121(constB185, 1)) <=> v124(constB185, 1))) | (~((~v121(constB185, 1)) <=> v124(constB185, 1)))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32995,plain,
% 17.45/12.59 (~((~v121(constB185, 1)) <=> v124(constB185, 1))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32994, 32588])).
% 17.45/12.59 tff(32996,plain,
% 17.45/12.59 ((v124(constB185, 2) | v124(constB185, 1) | (~v124(constB185, 0))) | (~v124(constB185, 1))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32997,plain,
% 17.45/12.59 (~v124(constB185, 1)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32996, 32864])).
% 17.45/12.59 tff(32998,plain,
% 17.45/12.59 (((~v121(constB185, 1)) <=> v124(constB185, 1)) | (~v121(constB185, 1)) | v124(constB185, 1)),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(32999,plain,
% 17.45/12.59 (~v121(constB185, 1)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[32998, 32997, 32995])).
% 17.45/12.59 tff(33000,plain,
% 17.45/12.59 (((~v123(constB186, 1)) <=> v121(constB185, 1)) | (~v123(constB186, 1)) | v121(constB185, 1)),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(33001,plain,
% 17.45/12.59 (~v123(constB186, 1)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[33000, 32999, 32993])).
% 17.45/12.59 tff(33002,plain,
% 17.45/12.59 ((((~v84(constB186, 0)) <=> v123(constB186, 0)) | ((~v84(constB186, 2)) <=> v123(constB186, 2)) | ((~v84(constB186, 1)) <=> v123(constB186, 1))) | (~((~v84(constB186, 1)) <=> v123(constB186, 1)))),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(33003,plain,
% 17.45/12.59 (~((~v84(constB186, 1)) <=> v123(constB186, 1))),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[33002, 32965])).
% 17.45/12.59 tff(33004,plain,
% 17.45/12.59 (((~v84(constB186, 1)) <=> v123(constB186, 1)) | (~v84(constB186, 1)) | v123(constB186, 1)),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(33005,plain,
% 17.45/12.59 (~v84(constB186, 1)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[33004, 33003, 33001])).
% 17.45/12.59 tff(33006,plain,
% 17.45/12.59 (((~v84(constB187, 1)) <=> v84(constB186, 1)) | (~v84(constB187, 1)) | v84(constB186, 1)),
% 17.45/12.59 inference(tautology,[status(thm)],[])).
% 17.45/12.59 tff(33007,plain,
% 17.45/12.59 (~v84(constB187, 1)),
% 17.45/12.59 inference(unit_resolution,[status(thm)],[33006, 33005, 32991])).
% 17.45/12.60 tff(33008,plain,
% 17.45/12.60 ((~(v84(constB187, 1) | v84(constB187, 2) | (~v84(constB187, 0)))) | v84(constB187, 1) | v84(constB187, 2) | (~v84(constB187, 0))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33009,plain,
% 17.45/12.60 (~(v84(constB187, 1) | v84(constB187, 2) | (~v84(constB187, 0)))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33008, 33007, 32989, 32971])).
% 17.45/12.60 tff(33010,plain,
% 17.45/12.60 ((~(v114(constB187) <=> (~(v84(constB187, 1) | v84(constB187, 2) | (~v84(constB187, 0)))))) | v114(constB187) | (v84(constB187, 1) | v84(constB187, 2) | (~v84(constB187, 0)))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33011,plain,
% 17.45/12.60 (v114(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33010, 33009, 32540])).
% 17.45/12.60 tff(33012,plain,
% 17.45/12.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB187)) | (~(v124(constB187, 2) | v124(constB187, 0) | (~v124(constB187, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB187)) | (~(v124(constB187, 2) | v124(constB187, 0) | (~v124(constB187, 1)))))),
% 17.45/12.60 inference(rewrite,[status(thm)],[])).
% 17.45/12.60 tff(33013,plain,
% 17.45/12.60 (((~v114(constB187)) | (~(v124(constB187, 0) | v124(constB187, 2) | (~v124(constB187, 1))))) <=> ((~v114(constB187)) | (~(v124(constB187, 2) | v124(constB187, 0) | (~v124(constB187, 1)))))),
% 17.45/12.60 inference(rewrite,[status(thm)],[])).
% 17.45/12.60 tff(33014,plain,
% 17.45/12.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB187)) | (~(v124(constB187, 0) | v124(constB187, 2) | (~v124(constB187, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB187)) | (~(v124(constB187, 2) | v124(constB187, 0) | (~v124(constB187, 1))))))),
% 17.45/12.60 inference(monotonicity,[status(thm)],[33013])).
% 17.45/12.60 tff(33015,plain,
% 17.45/12.60 (((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB187)) | (~(v124(constB187, 0) | v124(constB187, 2) | (~v124(constB187, 1)))))) <=> ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB187)) | (~(v124(constB187, 2) | v124(constB187, 0) | (~v124(constB187, 1)))))),
% 17.45/12.60 inference(transitivity,[status(thm)],[33014, 33012])).
% 17.45/12.60 tff(33016,plain,
% 17.45/12.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | ((~v114(constB187)) | (~(v124(constB187, 0) | v124(constB187, 2) | (~v124(constB187, 1)))))),
% 17.45/12.60 inference(quant_inst,[status(thm)],[])).
% 17.45/12.60 tff(33017,plain,
% 17.45/12.60 ((~![VarCurr: state_type] : ((~v114(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 2) | (~v124(VarCurr, 1)))))) | (~v114(constB187)) | (~(v124(constB187, 2) | v124(constB187, 0) | (~v124(constB187, 1))))),
% 17.45/12.60 inference(modus_ponens,[status(thm)],[33016, 33015])).
% 17.45/12.60 tff(33018,plain,
% 17.45/12.60 ((~v114(constB187)) | (~(v124(constB187, 2) | v124(constB187, 0) | (~v124(constB187, 1))))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33017, 2964])).
% 17.45/12.60 tff(33019,plain,
% 17.45/12.60 (~(v124(constB187, 2) | v124(constB187, 0) | (~v124(constB187, 1)))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33018, 33011])).
% 17.45/12.60 tff(33020,plain,
% 17.45/12.60 ((v124(constB187, 2) | v124(constB187, 0) | (~v124(constB187, 1))) | (~v124(constB187, 2))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33021,plain,
% 17.45/12.60 (~v124(constB187, 2)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33020, 33019])).
% 17.45/12.60 tff(33022,plain,
% 17.45/12.60 (((~v121(constB187, 2)) <=> v124(constB187, 2)) | (~v121(constB187, 2)) | v124(constB187, 2)),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33023,plain,
% 17.45/12.60 (~v121(constB187, 2)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33022, 33021, 32538])).
% 17.45/12.60 tff(33024,plain,
% 17.45/12.60 (((~v123(constB188, 2)) <=> v121(constB187, 2)) | (~v123(constB188, 2)) | v121(constB187, 2)),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33025,plain,
% 17.45/12.60 (~v123(constB188, 2)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33024, 33023, 32524])).
% 17.45/12.60 tff(33026,plain,
% 17.45/12.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB187, constB188)) | (v94(constB188) <=> (~((~v95(constB188)) | (~v104(constB188))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB187, constB188)) | (v94(constB188) <=> (~((~v95(constB188)) | (~v104(constB188))))))),
% 17.45/12.60 inference(rewrite,[status(thm)],[])).
% 17.45/12.60 tff(33027,plain,
% 17.45/12.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB187, constB188)) | (v94(constB188) <=> (~((~v95(constB188)) | (~v104(constB188))))))),
% 17.45/12.60 inference(quant_inst,[status(thm)],[])).
% 17.45/12.60 tff(33028,plain,
% 17.45/12.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB187, constB188)) | (v94(constB188) <=> (~((~v95(constB188)) | (~v104(constB188)))))),
% 17.45/12.60 inference(modus_ponens,[status(thm)],[33027, 33026])).
% 17.45/12.60 tff(33029,plain,
% 17.45/12.60 (v94(constB188) <=> (~((~v95(constB188)) | (~v104(constB188))))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33028, 21944, 770])).
% 17.45/12.60 tff(33030,plain,
% 17.45/12.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188))))))),
% 17.45/12.60 inference(rewrite,[status(thm)],[])).
% 17.45/12.60 tff(33031,plain,
% 17.45/12.60 (((~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v96(constB188)) | (~v1(constB188)))))) <=> ((~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188))))))),
% 17.45/12.60 inference(rewrite,[status(thm)],[])).
% 17.45/12.60 tff(33032,plain,
% 17.45/12.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v96(constB188)) | (~v1(constB188))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188)))))))),
% 17.45/12.60 inference(monotonicity,[status(thm)],[33031])).
% 17.45/12.60 tff(33033,plain,
% 17.45/12.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v96(constB188)) | (~v1(constB188))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188))))))),
% 17.45/12.60 inference(transitivity,[status(thm)],[33032, 33030])).
% 17.45/12.60 tff(33034,plain,
% 17.45/12.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v96(constB188)) | (~v1(constB188))))))),
% 17.45/12.60 inference(quant_inst,[status(thm)],[])).
% 17.45/12.60 tff(33035,plain,
% 17.45/12.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188)))))),
% 17.45/12.60 inference(modus_ponens,[status(thm)],[33034, 33033])).
% 17.45/12.60 tff(33036,plain,
% 17.45/12.60 (v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188))))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33035, 21944, 790])).
% 17.45/12.60 tff(33037,plain,
% 17.45/12.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB187, constB188)) | ((~v96(constB188)) <=> v98(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB187, constB188)) | ((~v96(constB188)) <=> v98(constB188)))),
% 17.45/12.60 inference(rewrite,[status(thm)],[])).
% 17.45/12.60 tff(33038,plain,
% 17.45/12.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB187, constB188)) | ((~v96(constB188)) <=> v98(constB188)))),
% 17.45/12.60 inference(quant_inst,[status(thm)],[])).
% 17.45/12.60 tff(33039,plain,
% 17.45/12.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB187, constB188)) | ((~v96(constB188)) <=> v98(constB188))),
% 17.45/12.60 inference(modus_ponens,[status(thm)],[33038, 33037])).
% 17.45/12.60 tff(33040,plain,
% 17.45/12.60 ((~v96(constB188)) <=> v98(constB188)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33039, 21944, 2332])).
% 17.45/12.60 tff(33041,plain,
% 17.45/12.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB187, constB188)) | (v98(constB188) <=> v1(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB187, constB188)) | (v98(constB188) <=> v1(constB187)))),
% 17.45/12.60 inference(rewrite,[status(thm)],[])).
% 17.45/12.60 tff(33042,plain,
% 17.45/12.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB187, constB188)) | (v98(constB188) <=> v1(constB187)))),
% 17.45/12.60 inference(quant_inst,[status(thm)],[])).
% 17.45/12.60 tff(33043,plain,
% 17.45/12.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB187, constB188)) | (v98(constB188) <=> v1(constB187))),
% 17.45/12.60 inference(modus_ponens,[status(thm)],[33042, 33041])).
% 17.45/12.60 tff(33044,plain,
% 17.45/12.60 (v98(constB188) <=> v1(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33043, 21944, 2346])).
% 17.45/12.60 tff(33045,plain,
% 17.45/12.60 ((~(v98(constB188) <=> v1(constB187))) | (~v98(constB188)) | v1(constB187)),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33046,plain,
% 17.45/12.60 ((~(v98(constB188) <=> v1(constB187))) | (~v98(constB188))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33045, 22008])).
% 17.45/12.60 tff(33047,plain,
% 17.45/12.60 (~v98(constB188)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33046, 33044])).
% 17.45/12.60 tff(33048,plain,
% 17.45/12.60 ((~((~v96(constB188)) <=> v98(constB188))) | v96(constB188) | v98(constB188)),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33049,plain,
% 17.45/12.60 (v96(constB188)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33048, 33047, 33040])).
% 17.45/12.60 tff(33050,plain,
% 17.45/12.60 ((~((~v1(constB188)) | (~v96(constB188)))) | (~v1(constB188)) | (~v96(constB188))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33051,plain,
% 17.45/12.60 ((~((~v1(constB188)) | (~v96(constB188)))) | (~v96(constB188))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33050, 21915])).
% 17.45/12.60 tff(33052,plain,
% 17.45/12.60 (~((~v1(constB188)) | (~v96(constB188)))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33051, 33049])).
% 17.45/12.60 tff(33053,plain,
% 17.45/12.60 ((~(v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188)))))) | v95(constB188) | ((~v1(constB188)) | (~v96(constB188)))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33054,plain,
% 17.45/12.60 (v95(constB188)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33053, 33052, 33036])).
% 17.45/12.60 tff(33055,plain,
% 17.45/12.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB187, constB188)) | (v104(constB188) <=> v102(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB187, constB188)) | (v104(constB188) <=> v102(constB187)))),
% 17.45/12.60 inference(rewrite,[status(thm)],[])).
% 17.45/12.60 tff(33056,plain,
% 17.45/12.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB187, constB188)) | (v104(constB188) <=> v102(constB187)))),
% 17.45/12.60 inference(quant_inst,[status(thm)],[])).
% 17.45/12.60 tff(33057,plain,
% 17.45/12.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB187, constB188)) | (v104(constB188) <=> v102(constB187))),
% 17.45/12.60 inference(modus_ponens,[status(thm)],[33056, 33055])).
% 17.45/12.60 tff(33058,plain,
% 17.45/12.60 (v104(constB188) <=> v102(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33057, 21944, 2373])).
% 17.45/12.60 tff(33059,plain,
% 17.45/12.60 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB187) <=> (v105(constB187) | v106(constB187)))),
% 17.45/12.60 inference(quant_inst,[status(thm)],[])).
% 17.45/12.60 tff(33060,plain,
% 17.45/12.60 (v102(constB187) <=> (v105(constB187) | v106(constB187))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33059, 2384])).
% 17.45/12.60 tff(33061,plain,
% 17.45/12.60 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB187) <=> (~((~v107(constB187)) | (~v120(constB187)))))),
% 17.45/12.60 inference(quant_inst,[status(thm)],[])).
% 17.45/12.60 tff(33062,plain,
% 17.45/12.60 (v106(constB187) <=> (~((~v107(constB187)) | (~v120(constB187))))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33061, 2396])).
% 17.45/12.60 tff(33063,plain,
% 17.45/12.60 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB187) <=> (v108(constB187) | v119(constB187)))),
% 17.45/12.60 inference(quant_inst,[status(thm)],[])).
% 17.45/12.60 tff(33064,plain,
% 17.45/12.60 (v107(constB187) <=> (v108(constB187) | v119(constB187))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33063, 2405])).
% 17.45/12.60 tff(33065,plain,
% 17.45/12.60 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB187) <=> (v109(constB187) | v118(constB187)))),
% 17.45/12.60 inference(quant_inst,[status(thm)],[])).
% 17.45/12.60 tff(33066,plain,
% 17.45/12.60 (v108(constB187) <=> (v109(constB187) | v118(constB187))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33065, 2414])).
% 17.45/12.60 tff(33067,plain,
% 17.45/12.60 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB187) <=> (v110(constB187) | v117(constB187)))),
% 17.45/12.60 inference(quant_inst,[status(thm)],[])).
% 17.45/12.60 tff(33068,plain,
% 17.45/12.60 (v109(constB187) <=> (v110(constB187) | v117(constB187))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33067, 2423])).
% 17.45/12.60 tff(33069,plain,
% 17.45/12.60 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB187) <=> (v111(constB187) | v116(constB187)))),
% 17.45/12.60 inference(quant_inst,[status(thm)],[])).
% 17.45/12.60 tff(33070,plain,
% 17.45/12.60 (v110(constB187) <=> (v111(constB187) | v116(constB187))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33069, 2432])).
% 17.45/12.60 tff(33071,plain,
% 17.45/12.60 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB187) <=> (v112(constB187) | v115(constB187)))),
% 17.45/12.60 inference(quant_inst,[status(thm)],[])).
% 17.45/12.60 tff(33072,plain,
% 17.45/12.60 (v111(constB187) <=> (v112(constB187) | v115(constB187))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33071, 2441])).
% 17.45/12.60 tff(33073,plain,
% 17.45/12.60 ((~![VarCurr: state_type] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB187) <=> (v113(constB187) | v114(constB187)))),
% 17.45/12.60 inference(quant_inst,[status(thm)],[])).
% 17.45/12.60 tff(33074,plain,
% 17.45/12.60 (v112(constB187) <=> (v113(constB187) | v114(constB187))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33073, 2450])).
% 17.45/12.60 tff(33075,plain,
% 17.45/12.60 ((v113(constB187) | v114(constB187)) | (~v114(constB187))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33076,plain,
% 17.45/12.60 (v113(constB187) | v114(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33075, 33011])).
% 17.45/12.60 tff(33077,plain,
% 17.45/12.60 ((~(v112(constB187) <=> (v113(constB187) | v114(constB187)))) | v112(constB187) | (~(v113(constB187) | v114(constB187)))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33078,plain,
% 17.45/12.60 (v112(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33077, 33076, 33074])).
% 17.45/12.60 tff(33079,plain,
% 17.45/12.60 ((v112(constB187) | v115(constB187)) | (~v112(constB187))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33080,plain,
% 17.45/12.60 (v112(constB187) | v115(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33079, 33078])).
% 17.45/12.60 tff(33081,plain,
% 17.45/12.60 ((~(v111(constB187) <=> (v112(constB187) | v115(constB187)))) | v111(constB187) | (~(v112(constB187) | v115(constB187)))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33082,plain,
% 17.45/12.60 (v111(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33081, 33080, 33072])).
% 17.45/12.60 tff(33083,plain,
% 17.45/12.60 ((v111(constB187) | v116(constB187)) | (~v111(constB187))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33084,plain,
% 17.45/12.60 (v111(constB187) | v116(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33083, 33082])).
% 17.45/12.60 tff(33085,plain,
% 17.45/12.60 ((~(v110(constB187) <=> (v111(constB187) | v116(constB187)))) | v110(constB187) | (~(v111(constB187) | v116(constB187)))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33086,plain,
% 17.45/12.60 (v110(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33085, 33084, 33070])).
% 17.45/12.60 tff(33087,plain,
% 17.45/12.60 ((v110(constB187) | v117(constB187)) | (~v110(constB187))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33088,plain,
% 17.45/12.60 (v110(constB187) | v117(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33087, 33086])).
% 17.45/12.60 tff(33089,plain,
% 17.45/12.60 ((~(v109(constB187) <=> (v110(constB187) | v117(constB187)))) | v109(constB187) | (~(v110(constB187) | v117(constB187)))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33090,plain,
% 17.45/12.60 (v109(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33089, 33088, 33068])).
% 17.45/12.60 tff(33091,plain,
% 17.45/12.60 ((v109(constB187) | v118(constB187)) | (~v109(constB187))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33092,plain,
% 17.45/12.60 (v109(constB187) | v118(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33091, 33090])).
% 17.45/12.60 tff(33093,plain,
% 17.45/12.60 ((~(v108(constB187) <=> (v109(constB187) | v118(constB187)))) | v108(constB187) | (~(v109(constB187) | v118(constB187)))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33094,plain,
% 17.45/12.60 (v108(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33093, 33092, 33066])).
% 17.45/12.60 tff(33095,plain,
% 17.45/12.60 ((v108(constB187) | v119(constB187)) | (~v108(constB187))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33096,plain,
% 17.45/12.60 (v108(constB187) | v119(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33095, 33094])).
% 17.45/12.60 tff(33097,plain,
% 17.45/12.60 ((~(v107(constB187) <=> (v108(constB187) | v119(constB187)))) | v107(constB187) | (~(v108(constB187) | v119(constB187)))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33098,plain,
% 17.45/12.60 (v107(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33097, 33096, 33064])).
% 17.45/12.60 tff(33099,plain,
% 17.45/12.60 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB187)) <=> v105(constB187))),
% 17.45/12.60 inference(quant_inst,[status(thm)],[])).
% 17.45/12.60 tff(33100,plain,
% 17.45/12.60 ((~v120(constB187)) <=> v105(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33099, 2484])).
% 17.45/12.60 tff(33101,plain,
% 17.45/12.60 ((~((~v120(constB187)) <=> v105(constB187))) | v120(constB187) | v105(constB187)),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33102,plain,
% 17.45/12.60 ((~((~v120(constB187)) <=> v105(constB187))) | v120(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33101, 32531])).
% 17.45/12.60 tff(33103,plain,
% 17.45/12.60 (v120(constB187)),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33102, 33100])).
% 17.45/12.60 tff(33104,plain,
% 17.45/12.60 ((~((~v107(constB187)) | (~v120(constB187)))) | (~v107(constB187)) | (~v120(constB187))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.60 tff(33105,plain,
% 17.45/12.60 ((~((~v107(constB187)) | (~v120(constB187)))) | (~v107(constB187))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33104, 33103])).
% 17.45/12.60 tff(33106,plain,
% 17.45/12.60 (~((~v107(constB187)) | (~v120(constB187)))),
% 17.45/12.60 inference(unit_resolution,[status(thm)],[33105, 33098])).
% 17.45/12.60 tff(33107,plain,
% 17.45/12.60 ((~(v106(constB187) <=> (~((~v107(constB187)) | (~v120(constB187)))))) | v106(constB187) | ((~v107(constB187)) | (~v120(constB187)))),
% 17.45/12.60 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33108,plain,
% 17.45/12.61 (v106(constB187)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33107, 33106, 33062])).
% 17.45/12.61 tff(33109,plain,
% 17.45/12.61 ((v105(constB187) | v106(constB187)) | (~v106(constB187))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33110,plain,
% 17.45/12.61 (v105(constB187) | v106(constB187)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33109, 33108])).
% 17.45/12.61 tff(33111,plain,
% 17.45/12.61 ((~(v102(constB187) <=> (v105(constB187) | v106(constB187)))) | v102(constB187) | (~(v105(constB187) | v106(constB187)))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33112,plain,
% 17.45/12.61 (v102(constB187)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33111, 33110, 33060])).
% 17.45/12.61 tff(33113,plain,
% 17.45/12.61 ((~(v104(constB188) <=> v102(constB187))) | v104(constB188) | (~v102(constB187))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33114,plain,
% 17.45/12.61 (v104(constB188)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33113, 33112, 33058])).
% 17.45/12.61 tff(33115,plain,
% 17.45/12.61 ((~((~v95(constB188)) | (~v104(constB188)))) | (~v95(constB188)) | (~v104(constB188))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33116,plain,
% 17.45/12.61 (~((~v95(constB188)) | (~v104(constB188)))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33115, 33114, 33054])).
% 17.45/12.61 tff(33117,plain,
% 17.45/12.61 ((~(v94(constB188) <=> (~((~v95(constB188)) | (~v104(constB188)))))) | v94(constB188) | ((~v95(constB188)) | (~v104(constB188)))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33118,plain,
% 17.45/12.61 (v94(constB188)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33117, 33116, 33029])).
% 17.45/12.61 tff(33119,plain,
% 17.45/12.61 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB188)) | (~(((~v84(constB188, 2)) <=> v123(constB188, 2)) | ((~v84(constB188, 1)) <=> v123(constB188, 1)) | ((~v84(constB188, 0)) <=> v123(constB188, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB188)) | (~(((~v84(constB188, 2)) <=> v123(constB188, 2)) | ((~v84(constB188, 1)) <=> v123(constB188, 1)) | ((~v84(constB188, 0)) <=> v123(constB188, 0)))))),
% 17.45/12.61 inference(rewrite,[status(thm)],[])).
% 17.45/12.61 tff(33120,plain,
% 17.45/12.61 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB188)) | (~(((~v84(constB188, 2)) <=> v123(constB188, 2)) | ((~v84(constB188, 1)) <=> v123(constB188, 1)) | ((~v84(constB188, 0)) <=> v123(constB188, 0)))))),
% 17.45/12.61 inference(quant_inst,[status(thm)],[])).
% 17.45/12.61 tff(33121,plain,
% 17.45/12.61 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB188)) | (~(((~v84(constB188, 2)) <=> v123(constB188, 2)) | ((~v84(constB188, 1)) <=> v123(constB188, 1)) | ((~v84(constB188, 0)) <=> v123(constB188, 0))))),
% 17.45/12.61 inference(modus_ponens,[status(thm)],[33120, 33119])).
% 17.45/12.61 tff(33122,plain,
% 17.45/12.61 ((~v94(constB188)) | (~(((~v84(constB188, 2)) <=> v123(constB188, 2)) | ((~v84(constB188, 1)) <=> v123(constB188, 1)) | ((~v84(constB188, 0)) <=> v123(constB188, 0))))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33121, 2517])).
% 17.45/12.61 tff(33123,plain,
% 17.45/12.61 (~(((~v84(constB188, 2)) <=> v123(constB188, 2)) | ((~v84(constB188, 1)) <=> v123(constB188, 1)) | ((~v84(constB188, 0)) <=> v123(constB188, 0)))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33122, 33118])).
% 17.45/12.61 tff(33124,plain,
% 17.45/12.61 ((((~v84(constB188, 2)) <=> v123(constB188, 2)) | ((~v84(constB188, 1)) <=> v123(constB188, 1)) | ((~v84(constB188, 0)) <=> v123(constB188, 0))) | (~((~v84(constB188, 2)) <=> v123(constB188, 2)))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33125,plain,
% 17.45/12.61 (~((~v84(constB188, 2)) <=> v123(constB188, 2))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33124, 33123])).
% 17.45/12.61 tff(33126,plain,
% 17.45/12.61 (((~v84(constB188, 2)) <=> v123(constB188, 2)) | (~v84(constB188, 2)) | v123(constB188, 2)),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33127,plain,
% 17.45/12.61 (~v84(constB188, 2)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33126, 33125, 33025])).
% 17.45/12.61 tff(33128,plain,
% 17.45/12.61 (((~v84(constB189, 2)) <=> v84(constB188, 2)) | (~v84(constB189, 2)) | v84(constB188, 2)),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33129,plain,
% 17.45/12.61 (~v84(constB189, 2)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33128, 33127, 32518])).
% 17.45/12.61 tff(33130,plain,
% 17.45/12.61 ((((~v84(constB189, 1)) <=> v84(constB188, 1)) | ((~v84(constB189, 2)) <=> v84(constB188, 2)) | ((~v84(constB189, 0)) <=> v84(constB188, 0))) | (~((~v84(constB189, 0)) <=> v84(constB188, 0)))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33131,plain,
% 17.45/12.61 (~((~v84(constB189, 0)) <=> v84(constB188, 0))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33130, 32516])).
% 17.45/12.61 tff(33132,plain,
% 17.45/12.61 ((((~v123(constB188, 2)) <=> v121(constB187, 2)) | ((~v123(constB188, 1)) <=> v121(constB187, 1)) | ((~v123(constB188, 0)) <=> v121(constB187, 0))) | (~((~v123(constB188, 0)) <=> v121(constB187, 0)))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33133,plain,
% 17.45/12.61 (~((~v123(constB188, 0)) <=> v121(constB187, 0))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33132, 32522])).
% 17.45/12.61 tff(33134,plain,
% 17.45/12.61 ((((~v121(constB187, 2)) <=> v124(constB187, 2)) | ((~v121(constB187, 0)) <=> v124(constB187, 0)) | ((~v121(constB187, 1)) <=> v124(constB187, 1))) | (~((~v121(constB187, 0)) <=> v124(constB187, 0)))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33135,plain,
% 17.45/12.61 (~((~v121(constB187, 0)) <=> v124(constB187, 0))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33134, 32536])).
% 17.45/12.61 tff(33136,plain,
% 17.45/12.61 ((v124(constB187, 2) | v124(constB187, 0) | (~v124(constB187, 1))) | (~v124(constB187, 0))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33137,plain,
% 17.45/12.61 (~v124(constB187, 0)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33136, 33019])).
% 17.45/12.61 tff(33138,plain,
% 17.45/12.61 (((~v121(constB187, 0)) <=> v124(constB187, 0)) | (~v121(constB187, 0)) | v124(constB187, 0)),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33139,plain,
% 17.45/12.61 (~v121(constB187, 0)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33138, 33137, 33135])).
% 17.45/12.61 tff(33140,plain,
% 17.45/12.61 (((~v123(constB188, 0)) <=> v121(constB187, 0)) | (~v123(constB188, 0)) | v121(constB187, 0)),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33141,plain,
% 17.45/12.61 (~v123(constB188, 0)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33140, 33139, 33133])).
% 17.45/12.61 tff(33142,plain,
% 17.45/12.61 ((((~v84(constB188, 2)) <=> v123(constB188, 2)) | ((~v84(constB188, 1)) <=> v123(constB188, 1)) | ((~v84(constB188, 0)) <=> v123(constB188, 0))) | (~((~v84(constB188, 0)) <=> v123(constB188, 0)))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33143,plain,
% 17.45/12.61 (~((~v84(constB188, 0)) <=> v123(constB188, 0))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33142, 33123])).
% 17.45/12.61 tff(33144,plain,
% 17.45/12.61 (((~v84(constB188, 0)) <=> v123(constB188, 0)) | (~v84(constB188, 0)) | v123(constB188, 0)),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33145,plain,
% 17.45/12.61 (~v84(constB188, 0)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33144, 33143, 33141])).
% 17.45/12.61 tff(33146,plain,
% 17.45/12.61 (((~v84(constB189, 0)) <=> v84(constB188, 0)) | (~v84(constB189, 0)) | v84(constB188, 0)),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33147,plain,
% 17.45/12.61 (~v84(constB189, 0)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33146, 33145, 33131])).
% 17.45/12.61 tff(33148,plain,
% 17.45/12.61 ((((~v84(constB189, 1)) <=> v84(constB188, 1)) | ((~v84(constB189, 2)) <=> v84(constB188, 2)) | ((~v84(constB189, 0)) <=> v84(constB188, 0))) | (~((~v84(constB189, 1)) <=> v84(constB188, 1)))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33149,plain,
% 17.45/12.61 (~((~v84(constB189, 1)) <=> v84(constB188, 1))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33148, 32516])).
% 17.45/12.61 tff(33150,plain,
% 17.45/12.61 ((((~v123(constB188, 2)) <=> v121(constB187, 2)) | ((~v123(constB188, 1)) <=> v121(constB187, 1)) | ((~v123(constB188, 0)) <=> v121(constB187, 0))) | (~((~v123(constB188, 1)) <=> v121(constB187, 1)))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33151,plain,
% 17.45/12.61 (~((~v123(constB188, 1)) <=> v121(constB187, 1))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33150, 32522])).
% 17.45/12.61 tff(33152,plain,
% 17.45/12.61 ((((~v121(constB187, 2)) <=> v124(constB187, 2)) | ((~v121(constB187, 0)) <=> v124(constB187, 0)) | ((~v121(constB187, 1)) <=> v124(constB187, 1))) | (~((~v121(constB187, 1)) <=> v124(constB187, 1)))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33153,plain,
% 17.45/12.61 (~((~v121(constB187, 1)) <=> v124(constB187, 1))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33152, 32536])).
% 17.45/12.61 tff(33154,plain,
% 17.45/12.61 ((v124(constB187, 2) | v124(constB187, 0) | (~v124(constB187, 1))) | v124(constB187, 1)),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33155,plain,
% 17.45/12.61 (v124(constB187, 1)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33154, 33019])).
% 17.45/12.61 tff(33156,plain,
% 17.45/12.61 (((~v121(constB187, 1)) <=> v124(constB187, 1)) | v121(constB187, 1) | (~v124(constB187, 1))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33157,plain,
% 17.45/12.61 (v121(constB187, 1)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33156, 33155, 33153])).
% 17.45/12.61 tff(33158,plain,
% 17.45/12.61 (((~v123(constB188, 1)) <=> v121(constB187, 1)) | v123(constB188, 1) | (~v121(constB187, 1))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33159,plain,
% 17.45/12.61 (v123(constB188, 1)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33158, 33157, 33151])).
% 17.45/12.61 tff(33160,plain,
% 17.45/12.61 ((((~v84(constB188, 2)) <=> v123(constB188, 2)) | ((~v84(constB188, 1)) <=> v123(constB188, 1)) | ((~v84(constB188, 0)) <=> v123(constB188, 0))) | (~((~v84(constB188, 1)) <=> v123(constB188, 1)))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33161,plain,
% 17.45/12.61 (~((~v84(constB188, 1)) <=> v123(constB188, 1))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33160, 33123])).
% 17.45/12.61 tff(33162,plain,
% 17.45/12.61 (((~v84(constB188, 1)) <=> v123(constB188, 1)) | v84(constB188, 1) | (~v123(constB188, 1))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33163,plain,
% 17.45/12.61 (v84(constB188, 1)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33162, 33161, 33159])).
% 17.45/12.61 tff(33164,plain,
% 17.45/12.61 (((~v84(constB189, 1)) <=> v84(constB188, 1)) | v84(constB189, 1) | (~v84(constB188, 1))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33165,plain,
% 17.45/12.61 (v84(constB189, 1)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33164, 33163, 33149])).
% 17.45/12.61 tff(33166,plain,
% 17.45/12.61 ((~(v84(constB189, 2) | v84(constB189, 0) | (~v84(constB189, 1)))) | v84(constB189, 2) | v84(constB189, 0) | (~v84(constB189, 1))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33167,plain,
% 17.45/12.61 (~(v84(constB189, 2) | v84(constB189, 0) | (~v84(constB189, 1)))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33166, 33165, 33147, 33129])).
% 17.45/12.61 tff(33168,plain,
% 17.45/12.61 ((~(v115(constB189) <=> (~(v84(constB189, 2) | v84(constB189, 0) | (~v84(constB189, 1)))))) | v115(constB189) | (v84(constB189, 2) | v84(constB189, 0) | (~v84(constB189, 1)))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33169,plain,
% 17.45/12.61 (v115(constB189)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33168, 33167, 32485])).
% 17.45/12.61 tff(33170,plain,
% 17.45/12.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB189)) | (~(v124(constB189, 2) | (~v124(constB189, 0)) | (~v124(constB189, 1)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB189)) | (~(v124(constB189, 2) | (~v124(constB189, 0)) | (~v124(constB189, 1)))))),
% 17.45/12.61 inference(rewrite,[status(thm)],[])).
% 17.45/12.61 tff(33171,plain,
% 17.45/12.61 (((~v115(constB189)) | (~(v124(constB189, 2) | (~v124(constB189, 1)) | (~v124(constB189, 0))))) <=> ((~v115(constB189)) | (~(v124(constB189, 2) | (~v124(constB189, 0)) | (~v124(constB189, 1)))))),
% 17.45/12.61 inference(rewrite,[status(thm)],[])).
% 17.45/12.61 tff(33172,plain,
% 17.45/12.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB189)) | (~(v124(constB189, 2) | (~v124(constB189, 1)) | (~v124(constB189, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB189)) | (~(v124(constB189, 2) | (~v124(constB189, 0)) | (~v124(constB189, 1))))))),
% 17.45/12.61 inference(monotonicity,[status(thm)],[33171])).
% 17.45/12.61 tff(33173,plain,
% 17.45/12.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB189)) | (~(v124(constB189, 2) | (~v124(constB189, 1)) | (~v124(constB189, 0)))))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB189)) | (~(v124(constB189, 2) | (~v124(constB189, 0)) | (~v124(constB189, 1)))))),
% 17.45/12.61 inference(transitivity,[status(thm)],[33172, 33170])).
% 17.45/12.61 tff(33174,plain,
% 17.45/12.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | ((~v115(constB189)) | (~(v124(constB189, 2) | (~v124(constB189, 1)) | (~v124(constB189, 0)))))),
% 17.45/12.61 inference(quant_inst,[status(thm)],[])).
% 17.45/12.61 tff(33175,plain,
% 17.45/12.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~(v124(VarCurr, 2) | (~v124(VarCurr, 1)) | (~v124(VarCurr, 0)))))) | (~v115(constB189)) | (~(v124(constB189, 2) | (~v124(constB189, 0)) | (~v124(constB189, 1))))),
% 17.45/12.61 inference(modus_ponens,[status(thm)],[33174, 33173])).
% 17.45/12.61 tff(33176,plain,
% 17.45/12.61 ((~v115(constB189)) | (~(v124(constB189, 2) | (~v124(constB189, 0)) | (~v124(constB189, 1))))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33175, 3138])).
% 17.45/12.61 tff(33177,plain,
% 17.45/12.61 (~(v124(constB189, 2) | (~v124(constB189, 0)) | (~v124(constB189, 1)))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33176, 33169])).
% 17.45/12.61 tff(33178,plain,
% 17.45/12.61 ((v124(constB189, 2) | (~v124(constB189, 0)) | (~v124(constB189, 1))) | (~v124(constB189, 2))),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33179,plain,
% 17.45/12.61 (~v124(constB189, 2)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33178, 33177])).
% 17.45/12.61 tff(33180,plain,
% 17.45/12.61 (((~v121(constB189, 2)) <=> v124(constB189, 2)) | (~v121(constB189, 2)) | v124(constB189, 2)),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33181,plain,
% 17.45/12.61 (~v121(constB189, 2)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33180, 33179, 32478])).
% 17.45/12.61 tff(33182,plain,
% 17.45/12.61 (((~v123(constB190, 2)) <=> v121(constB189, 2)) | (~v123(constB190, 2)) | v121(constB189, 2)),
% 17.45/12.61 inference(tautology,[status(thm)],[])).
% 17.45/12.61 tff(33183,plain,
% 17.45/12.61 (~v123(constB190, 2)),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33182, 33181, 32464])).
% 17.45/12.61 tff(33184,plain,
% 17.45/12.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB189, constB190)) | (v94(constB190) <=> (~((~v95(constB190)) | (~v104(constB190))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB189, constB190)) | (v94(constB190) <=> (~((~v95(constB190)) | (~v104(constB190))))))),
% 17.45/12.61 inference(rewrite,[status(thm)],[])).
% 17.45/12.61 tff(33185,plain,
% 17.45/12.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB189, constB190)) | (v94(constB190) <=> (~((~v95(constB190)) | (~v104(constB190))))))),
% 17.45/12.61 inference(quant_inst,[status(thm)],[])).
% 17.45/12.61 tff(33186,plain,
% 17.45/12.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB189, constB190)) | (v94(constB190) <=> (~((~v95(constB190)) | (~v104(constB190)))))),
% 17.45/12.61 inference(modus_ponens,[status(thm)],[33185, 33184])).
% 17.45/12.61 tff(33187,plain,
% 17.45/12.61 (v94(constB190) <=> (~((~v95(constB190)) | (~v104(constB190))))),
% 17.45/12.61 inference(unit_resolution,[status(thm)],[33186, 32458, 770])).
% 17.45/12.61 tff(33188,plain,
% 17.45/12.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190))))))),
% 17.45/12.62 inference(rewrite,[status(thm)],[])).
% 17.45/12.62 tff(33189,plain,
% 17.45/12.62 (((~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v96(constB190)) | (~v1(constB190)))))) <=> ((~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190))))))),
% 17.45/12.62 inference(rewrite,[status(thm)],[])).
% 17.45/12.62 tff(33190,plain,
% 17.45/12.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v96(constB190)) | (~v1(constB190))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190)))))))),
% 17.45/12.62 inference(monotonicity,[status(thm)],[33189])).
% 17.45/12.62 tff(33191,plain,
% 17.45/12.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v96(constB190)) | (~v1(constB190))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190))))))),
% 17.45/12.62 inference(transitivity,[status(thm)],[33190, 33188])).
% 17.45/12.62 tff(33192,plain,
% 17.45/12.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v96(constB190)) | (~v1(constB190))))))),
% 17.45/12.62 inference(quant_inst,[status(thm)],[])).
% 17.45/12.62 tff(33193,plain,
% 17.45/12.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190)))))),
% 17.45/12.62 inference(modus_ponens,[status(thm)],[33192, 33191])).
% 17.45/12.62 tff(33194,plain,
% 17.45/12.62 (v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190))))),
% 17.45/12.62 inference(unit_resolution,[status(thm)],[33193, 32458, 790])).
% 17.45/12.62 tff(33195,plain,
% 17.45/12.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB189, constB190)) | ((~v96(constB190)) <=> v98(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB189, constB190)) | ((~v96(constB190)) <=> v98(constB190)))),
% 17.45/12.62 inference(rewrite,[status(thm)],[])).
% 17.45/12.62 tff(33196,plain,
% 17.45/12.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB189, constB190)) | ((~v96(constB190)) <=> v98(constB190)))),
% 17.45/12.62 inference(quant_inst,[status(thm)],[])).
% 17.45/12.62 tff(33197,plain,
% 17.45/12.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB189, constB190)) | ((~v96(constB190)) <=> v98(constB190))),
% 17.45/12.62 inference(modus_ponens,[status(thm)],[33196, 33195])).
% 17.45/12.62 tff(33198,plain,
% 17.45/12.62 ((~v96(constB190)) <=> v98(constB190)),
% 17.45/12.62 inference(unit_resolution,[status(thm)],[33197, 32458, 2332])).
% 17.45/12.62 tff(33199,plain,
% 17.45/12.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB189, constB190)) | (v98(constB190) <=> v1(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB189, constB190)) | (v98(constB190) <=> v1(constB189)))),
% 17.45/12.62 inference(rewrite,[status(thm)],[])).
% 17.45/12.62 tff(33200,plain,
% 17.45/12.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB189, constB190)) | (v98(constB190) <=> v1(constB189)))),
% 17.45/12.62 inference(quant_inst,[status(thm)],[])).
% 17.45/12.62 tff(33201,plain,
% 17.45/12.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB189, constB190)) | (v98(constB190) <=> v1(constB189))),
% 17.45/12.62 inference(modus_ponens,[status(thm)],[33200, 33199])).
% 17.45/12.62 tff(33202,plain,
% 17.45/12.62 (v98(constB190) <=> v1(constB189)),
% 17.45/12.62 inference(unit_resolution,[status(thm)],[33201, 32458, 2346])).
% 17.45/12.62 tff(33203,plain,
% 17.45/12.62 ((~(v98(constB190) <=> v1(constB189))) | (~v98(constB190)) | v1(constB189)),
% 17.45/12.62 inference(tautology,[status(thm)],[])).
% 17.45/12.62 tff(33204,plain,
% 17.45/12.62 ((~(v98(constB190) <=> v1(constB189))) | (~v98(constB190))),
% 17.45/12.62 inference(unit_resolution,[status(thm)],[33203, 32499])).
% 17.45/12.62 tff(33205,plain,
% 17.45/12.62 (~v98(constB190)),
% 17.45/12.62 inference(unit_resolution,[status(thm)],[33204, 33202])).
% 17.45/12.62 tff(33206,plain,
% 17.45/12.62 ((~((~v96(constB190)) <=> v98(constB190))) | v96(constB190) | v98(constB190)),
% 17.45/12.62 inference(tautology,[status(thm)],[])).
% 17.45/12.62 tff(33207,plain,
% 17.45/12.62 (v96(constB190)),
% 17.45/12.62 inference(unit_resolution,[status(thm)],[33206, 33205, 33198])).
% 17.45/12.62 tff(33208,plain,
% 17.45/12.62 (v1(constB190) <=> v1(constB190)),
% 17.45/12.62 inference(rewrite,[status(thm)],[])).
% 17.45/12.62 tff(33209,axiom,(v1(constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_190')).
% 17.45/12.62 tff(33210,plain,
% 17.45/12.62 (v1(constB190)),
% 17.45/12.62 inference(modus_ponens,[status(thm)],[33209, 33208])).
% 17.45/12.62 tff(33211,plain,
% 17.45/12.62 ((~((~v1(constB190)) | (~v96(constB190)))) | (~v1(constB190)) | (~v96(constB190))),
% 17.45/12.62 inference(tautology,[status(thm)],[])).
% 17.45/12.62 tff(33212,plain,
% 17.45/12.62 ((~((~v1(constB190)) | (~v96(constB190)))) | (~v96(constB190))),
% 17.45/12.62 inference(unit_resolution,[status(thm)],[33211, 33210])).
% 17.45/12.62 tff(33213,plain,
% 17.45/12.62 (~((~v1(constB190)) | (~v96(constB190)))),
% 17.45/12.62 inference(unit_resolution,[status(thm)],[33212, 33207])).
% 17.45/12.62 tff(33214,plain,
% 17.45/12.62 ((~(v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190)))))) | v95(constB190) | ((~v1(constB190)) | (~v96(constB190)))),
% 17.45/12.62 inference(tautology,[status(thm)],[])).
% 17.45/12.62 tff(33215,plain,
% 17.45/12.62 (v95(constB190)),
% 17.45/12.62 inference(unit_resolution,[status(thm)],[33214, 33213, 33194])).
% 17.45/12.62 tff(33216,plain,
% 17.45/12.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB189, constB190)) | (v104(constB190) <=> v102(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB189, constB190)) | (v104(constB190) <=> v102(constB189)))),
% 17.45/12.62 inference(rewrite,[status(thm)],[])).
% 17.45/12.62 tff(33217,plain,
% 17.45/12.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB189, constB190)) | (v104(constB190) <=> v102(constB189)))),
% 17.45/12.62 inference(quant_inst,[status(thm)],[])).
% 17.45/12.62 tff(33218,plain,
% 17.45/12.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB189, constB190)) | (v104(constB190) <=> v102(constB189))),
% 17.45/12.62 inference(modus_ponens,[status(thm)],[33217, 33216])).
% 17.45/12.62 tff(33219,plain,
% 17.45/12.62 (v104(constB190) <=> v102(constB189)),
% 17.45/12.62 inference(unit_resolution,[status(thm)],[33218, 32458, 2373])).
% 17.45/12.62 tff(33220,plain,
% 17.45/12.62 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB189) <=> (v105(constB189) | v106(constB189)))),
% 17.45/12.62 inference(quant_inst,[status(thm)],[])).
% 17.45/12.62 tff(33221,plain,
% 17.45/12.62 (v102(constB189) <=> (v105(constB189) | v106(constB189))),
% 17.45/12.62 inference(unit_resolution,[status(thm)],[33220, 2384])).
% 17.45/12.62 tff(33222,plain,
% 17.45/12.62 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB189) <=> (~((~v107(constB189)) | (~v120(constB189)))))),
% 17.45/12.62 inference(quant_inst,[status(thm)],[])).
% 17.45/12.62 tff(33223,plain,
% 17.45/12.62 (v106(constB189) <=> (~((~v107(constB189)) | (~v120(constB189))))),
% 17.45/12.62 inference(unit_resolution,[status(thm)],[33222, 2396])).
% 17.49/12.62 tff(33224,plain,
% 17.49/12.62 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB189) <=> (v108(constB189) | v119(constB189)))),
% 17.49/12.62 inference(quant_inst,[status(thm)],[])).
% 17.49/12.62 tff(33225,plain,
% 17.49/12.62 (v107(constB189) <=> (v108(constB189) | v119(constB189))),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33224, 2405])).
% 17.49/12.62 tff(33226,plain,
% 17.49/12.62 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB189) <=> (v109(constB189) | v118(constB189)))),
% 17.49/12.62 inference(quant_inst,[status(thm)],[])).
% 17.49/12.62 tff(33227,plain,
% 17.49/12.62 (v108(constB189) <=> (v109(constB189) | v118(constB189))),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33226, 2414])).
% 17.49/12.62 tff(33228,plain,
% 17.49/12.62 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB189) <=> (v110(constB189) | v117(constB189)))),
% 17.49/12.62 inference(quant_inst,[status(thm)],[])).
% 17.49/12.62 tff(33229,plain,
% 17.49/12.62 (v109(constB189) <=> (v110(constB189) | v117(constB189))),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33228, 2423])).
% 17.49/12.62 tff(33230,plain,
% 17.49/12.62 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB189) <=> (v111(constB189) | v116(constB189)))),
% 17.49/12.62 inference(quant_inst,[status(thm)],[])).
% 17.49/12.62 tff(33231,plain,
% 17.49/12.62 (v110(constB189) <=> (v111(constB189) | v116(constB189))),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33230, 2432])).
% 17.49/12.62 tff(33232,plain,
% 17.49/12.62 ((~![VarCurr: state_type] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB189) <=> (v112(constB189) | v115(constB189)))),
% 17.49/12.62 inference(quant_inst,[status(thm)],[])).
% 17.49/12.62 tff(33233,plain,
% 17.49/12.62 (v111(constB189) <=> (v112(constB189) | v115(constB189))),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33232, 2441])).
% 17.49/12.62 tff(33234,plain,
% 17.49/12.62 ((v112(constB189) | v115(constB189)) | (~v115(constB189))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33235,plain,
% 17.49/12.62 (v112(constB189) | v115(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33234, 33169])).
% 17.49/12.62 tff(33236,plain,
% 17.49/12.62 ((~(v111(constB189) <=> (v112(constB189) | v115(constB189)))) | v111(constB189) | (~(v112(constB189) | v115(constB189)))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33237,plain,
% 17.49/12.62 (v111(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33236, 33235, 33233])).
% 17.49/12.62 tff(33238,plain,
% 17.49/12.62 ((v111(constB189) | v116(constB189)) | (~v111(constB189))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33239,plain,
% 17.49/12.62 (v111(constB189) | v116(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33238, 33237])).
% 17.49/12.62 tff(33240,plain,
% 17.49/12.62 ((~(v110(constB189) <=> (v111(constB189) | v116(constB189)))) | v110(constB189) | (~(v111(constB189) | v116(constB189)))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33241,plain,
% 17.49/12.62 (v110(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33240, 33239, 33231])).
% 17.49/12.62 tff(33242,plain,
% 17.49/12.62 ((v110(constB189) | v117(constB189)) | (~v110(constB189))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33243,plain,
% 17.49/12.62 (v110(constB189) | v117(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33242, 33241])).
% 17.49/12.62 tff(33244,plain,
% 17.49/12.62 ((~(v109(constB189) <=> (v110(constB189) | v117(constB189)))) | v109(constB189) | (~(v110(constB189) | v117(constB189)))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33245,plain,
% 17.49/12.62 (v109(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33244, 33243, 33229])).
% 17.49/12.62 tff(33246,plain,
% 17.49/12.62 ((v109(constB189) | v118(constB189)) | (~v109(constB189))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33247,plain,
% 17.49/12.62 (v109(constB189) | v118(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33246, 33245])).
% 17.49/12.62 tff(33248,plain,
% 17.49/12.62 ((~(v108(constB189) <=> (v109(constB189) | v118(constB189)))) | v108(constB189) | (~(v109(constB189) | v118(constB189)))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33249,plain,
% 17.49/12.62 (v108(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33248, 33247, 33227])).
% 17.49/12.62 tff(33250,plain,
% 17.49/12.62 ((v108(constB189) | v119(constB189)) | (~v108(constB189))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33251,plain,
% 17.49/12.62 (v108(constB189) | v119(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33250, 33249])).
% 17.49/12.62 tff(33252,plain,
% 17.49/12.62 ((~(v107(constB189) <=> (v108(constB189) | v119(constB189)))) | v107(constB189) | (~(v108(constB189) | v119(constB189)))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33253,plain,
% 17.49/12.62 (v107(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33252, 33251, 33225])).
% 17.49/12.62 tff(33254,plain,
% 17.49/12.62 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB189)) <=> v105(constB189))),
% 17.49/12.62 inference(quant_inst,[status(thm)],[])).
% 17.49/12.62 tff(33255,plain,
% 17.49/12.62 ((~v120(constB189)) <=> v105(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33254, 2484])).
% 17.49/12.62 tff(33256,plain,
% 17.49/12.62 ((~((~v120(constB189)) <=> v105(constB189))) | v120(constB189) | v105(constB189)),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33257,plain,
% 17.49/12.62 ((~((~v120(constB189)) <=> v105(constB189))) | v120(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33256, 32471])).
% 17.49/12.62 tff(33258,plain,
% 17.49/12.62 (v120(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33257, 33255])).
% 17.49/12.62 tff(33259,plain,
% 17.49/12.62 ((~((~v107(constB189)) | (~v120(constB189)))) | (~v107(constB189)) | (~v120(constB189))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33260,plain,
% 17.49/12.62 ((~((~v107(constB189)) | (~v120(constB189)))) | (~v107(constB189))),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33259, 33258])).
% 17.49/12.62 tff(33261,plain,
% 17.49/12.62 (~((~v107(constB189)) | (~v120(constB189)))),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33260, 33253])).
% 17.49/12.62 tff(33262,plain,
% 17.49/12.62 ((~(v106(constB189) <=> (~((~v107(constB189)) | (~v120(constB189)))))) | v106(constB189) | ((~v107(constB189)) | (~v120(constB189)))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33263,plain,
% 17.49/12.62 (v106(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33262, 33261, 33223])).
% 17.49/12.62 tff(33264,plain,
% 17.49/12.62 ((v105(constB189) | v106(constB189)) | (~v106(constB189))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33265,plain,
% 17.49/12.62 (v105(constB189) | v106(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33264, 33263])).
% 17.49/12.62 tff(33266,plain,
% 17.49/12.62 ((~(v102(constB189) <=> (v105(constB189) | v106(constB189)))) | v102(constB189) | (~(v105(constB189) | v106(constB189)))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33267,plain,
% 17.49/12.62 (v102(constB189)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33266, 33265, 33221])).
% 17.49/12.62 tff(33268,plain,
% 17.49/12.62 ((~(v104(constB190) <=> v102(constB189))) | v104(constB190) | (~v102(constB189))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33269,plain,
% 17.49/12.62 (v104(constB190)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33268, 33267, 33219])).
% 17.49/12.62 tff(33270,plain,
% 17.49/12.62 ((~((~v95(constB190)) | (~v104(constB190)))) | (~v95(constB190)) | (~v104(constB190))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33271,plain,
% 17.49/12.62 (~((~v95(constB190)) | (~v104(constB190)))),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33270, 33269, 33215])).
% 17.49/12.62 tff(33272,plain,
% 17.49/12.62 ((~(v94(constB190) <=> (~((~v95(constB190)) | (~v104(constB190)))))) | v94(constB190) | ((~v95(constB190)) | (~v104(constB190)))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33273,plain,
% 17.49/12.62 (v94(constB190)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33272, 33271, 33187])).
% 17.49/12.62 tff(33274,plain,
% 17.49/12.62 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB190)) | (~(((~v84(constB190, 0)) <=> v123(constB190, 0)) | ((~v84(constB190, 2)) <=> v123(constB190, 2)) | ((~v84(constB190, 1)) <=> v123(constB190, 1)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB190)) | (~(((~v84(constB190, 0)) <=> v123(constB190, 0)) | ((~v84(constB190, 2)) <=> v123(constB190, 2)) | ((~v84(constB190, 1)) <=> v123(constB190, 1)))))),
% 17.49/12.62 inference(rewrite,[status(thm)],[])).
% 17.49/12.62 tff(33275,plain,
% 17.49/12.62 (((~v94(constB190)) | (~(((~v84(constB190, 2)) <=> v123(constB190, 2)) | ((~v84(constB190, 1)) <=> v123(constB190, 1)) | ((~v84(constB190, 0)) <=> v123(constB190, 0))))) <=> ((~v94(constB190)) | (~(((~v84(constB190, 0)) <=> v123(constB190, 0)) | ((~v84(constB190, 2)) <=> v123(constB190, 2)) | ((~v84(constB190, 1)) <=> v123(constB190, 1)))))),
% 17.49/12.62 inference(rewrite,[status(thm)],[])).
% 17.49/12.62 tff(33276,plain,
% 17.49/12.62 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB190)) | (~(((~v84(constB190, 2)) <=> v123(constB190, 2)) | ((~v84(constB190, 1)) <=> v123(constB190, 1)) | ((~v84(constB190, 0)) <=> v123(constB190, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB190)) | (~(((~v84(constB190, 0)) <=> v123(constB190, 0)) | ((~v84(constB190, 2)) <=> v123(constB190, 2)) | ((~v84(constB190, 1)) <=> v123(constB190, 1))))))),
% 17.49/12.62 inference(monotonicity,[status(thm)],[33275])).
% 17.49/12.62 tff(33277,plain,
% 17.49/12.62 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB190)) | (~(((~v84(constB190, 2)) <=> v123(constB190, 2)) | ((~v84(constB190, 1)) <=> v123(constB190, 1)) | ((~v84(constB190, 0)) <=> v123(constB190, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB190)) | (~(((~v84(constB190, 0)) <=> v123(constB190, 0)) | ((~v84(constB190, 2)) <=> v123(constB190, 2)) | ((~v84(constB190, 1)) <=> v123(constB190, 1)))))),
% 17.49/12.62 inference(transitivity,[status(thm)],[33276, 33274])).
% 17.49/12.62 tff(33278,plain,
% 17.49/12.62 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB190)) | (~(((~v84(constB190, 2)) <=> v123(constB190, 2)) | ((~v84(constB190, 1)) <=> v123(constB190, 1)) | ((~v84(constB190, 0)) <=> v123(constB190, 0)))))),
% 17.49/12.62 inference(quant_inst,[status(thm)],[])).
% 17.49/12.62 tff(33279,plain,
% 17.49/12.62 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB190)) | (~(((~v84(constB190, 0)) <=> v123(constB190, 0)) | ((~v84(constB190, 2)) <=> v123(constB190, 2)) | ((~v84(constB190, 1)) <=> v123(constB190, 1))))),
% 17.49/12.62 inference(modus_ponens,[status(thm)],[33278, 33277])).
% 17.49/12.62 tff(33280,plain,
% 17.49/12.62 ((~v94(constB190)) | (~(((~v84(constB190, 0)) <=> v123(constB190, 0)) | ((~v84(constB190, 2)) <=> v123(constB190, 2)) | ((~v84(constB190, 1)) <=> v123(constB190, 1))))),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33279, 2517])).
% 17.49/12.62 tff(33281,plain,
% 17.49/12.62 (~(((~v84(constB190, 0)) <=> v123(constB190, 0)) | ((~v84(constB190, 2)) <=> v123(constB190, 2)) | ((~v84(constB190, 1)) <=> v123(constB190, 1)))),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33280, 33273])).
% 17.49/12.62 tff(33282,plain,
% 17.49/12.62 ((((~v84(constB190, 0)) <=> v123(constB190, 0)) | ((~v84(constB190, 2)) <=> v123(constB190, 2)) | ((~v84(constB190, 1)) <=> v123(constB190, 1))) | (~((~v84(constB190, 2)) <=> v123(constB190, 2)))),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33283,plain,
% 17.49/12.62 (~((~v84(constB190, 2)) <=> v123(constB190, 2))),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33282, 33281])).
% 17.49/12.62 tff(33284,plain,
% 17.49/12.62 (((~v84(constB190, 2)) <=> v123(constB190, 2)) | (~v84(constB190, 2)) | v123(constB190, 2)),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33285,plain,
% 17.49/12.62 (~v84(constB190, 2)),
% 17.49/12.62 inference(unit_resolution,[status(thm)],[33284, 33283, 33183])).
% 17.49/12.62 tff(33286,plain,
% 17.49/12.62 (((~v84(constB191, 2)) <=> v84(constB190, 2)) | (~v84(constB191, 2)) | v84(constB190, 2)),
% 17.49/12.62 inference(tautology,[status(thm)],[])).
% 17.49/12.62 tff(33287,plain,
% 17.49/12.63 (~v84(constB191, 2)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33286, 33285, 32455])).
% 17.49/12.63 tff(33288,plain,
% 17.49/12.63 ((((~v84(constB191, 1)) <=> v84(constB190, 1)) | ((~v84(constB191, 2)) <=> v84(constB190, 2)) | ((~v84(constB191, 0)) <=> v84(constB190, 0))) | (~((~v84(constB191, 0)) <=> v84(constB190, 0)))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33289,plain,
% 17.49/12.63 (~((~v84(constB191, 0)) <=> v84(constB190, 0))),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33288, 32453])).
% 17.49/12.63 tff(33290,plain,
% 17.49/12.63 ((((~v123(constB190, 2)) <=> v121(constB189, 2)) | ((~v123(constB190, 1)) <=> v121(constB189, 1)) | ((~v123(constB190, 0)) <=> v121(constB189, 0))) | (~((~v123(constB190, 0)) <=> v121(constB189, 0)))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33291,plain,
% 17.49/12.63 (~((~v123(constB190, 0)) <=> v121(constB189, 0))),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33290, 32462])).
% 17.49/12.63 tff(33292,plain,
% 17.49/12.63 ((((~v121(constB189, 2)) <=> v124(constB189, 2)) | ((~v121(constB189, 0)) <=> v124(constB189, 0)) | ((~v121(constB189, 1)) <=> v124(constB189, 1))) | (~((~v121(constB189, 0)) <=> v124(constB189, 0)))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33293,plain,
% 17.49/12.63 (~((~v121(constB189, 0)) <=> v124(constB189, 0))),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33292, 32476])).
% 17.49/12.63 tff(33294,plain,
% 17.49/12.63 ((v124(constB189, 2) | (~v124(constB189, 0)) | (~v124(constB189, 1))) | v124(constB189, 0)),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33295,plain,
% 17.49/12.63 (v124(constB189, 0)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33294, 33177])).
% 17.49/12.63 tff(33296,plain,
% 17.49/12.63 (((~v121(constB189, 0)) <=> v124(constB189, 0)) | v121(constB189, 0) | (~v124(constB189, 0))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33297,plain,
% 17.49/12.63 (v121(constB189, 0)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33296, 33295, 33293])).
% 17.49/12.63 tff(33298,plain,
% 17.49/12.63 (((~v123(constB190, 0)) <=> v121(constB189, 0)) | v123(constB190, 0) | (~v121(constB189, 0))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33299,plain,
% 17.49/12.63 (v123(constB190, 0)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33298, 33297, 33291])).
% 17.49/12.63 tff(33300,plain,
% 17.49/12.63 ((((~v84(constB190, 0)) <=> v123(constB190, 0)) | ((~v84(constB190, 2)) <=> v123(constB190, 2)) | ((~v84(constB190, 1)) <=> v123(constB190, 1))) | (~((~v84(constB190, 0)) <=> v123(constB190, 0)))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33301,plain,
% 17.49/12.63 (~((~v84(constB190, 0)) <=> v123(constB190, 0))),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33300, 33281])).
% 17.49/12.63 tff(33302,plain,
% 17.49/12.63 (((~v84(constB190, 0)) <=> v123(constB190, 0)) | v84(constB190, 0) | (~v123(constB190, 0))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33303,plain,
% 17.49/12.63 (v84(constB190, 0)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33302, 33301, 33299])).
% 17.49/12.63 tff(33304,plain,
% 17.49/12.63 (((~v84(constB191, 0)) <=> v84(constB190, 0)) | v84(constB191, 0) | (~v84(constB190, 0))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33305,plain,
% 17.49/12.63 (v84(constB191, 0)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33304, 33303, 33289])).
% 17.49/12.63 tff(33306,plain,
% 17.49/12.63 ((((~v84(constB191, 1)) <=> v84(constB190, 1)) | ((~v84(constB191, 2)) <=> v84(constB190, 2)) | ((~v84(constB191, 0)) <=> v84(constB190, 0))) | (~((~v84(constB191, 1)) <=> v84(constB190, 1)))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33307,plain,
% 17.49/12.63 (~((~v84(constB191, 1)) <=> v84(constB190, 1))),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33306, 32453])).
% 17.49/12.63 tff(33308,plain,
% 17.49/12.63 ((((~v123(constB190, 2)) <=> v121(constB189, 2)) | ((~v123(constB190, 1)) <=> v121(constB189, 1)) | ((~v123(constB190, 0)) <=> v121(constB189, 0))) | (~((~v123(constB190, 1)) <=> v121(constB189, 1)))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33309,plain,
% 17.49/12.63 (~((~v123(constB190, 1)) <=> v121(constB189, 1))),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33308, 32462])).
% 17.49/12.63 tff(33310,plain,
% 17.49/12.63 ((((~v121(constB189, 2)) <=> v124(constB189, 2)) | ((~v121(constB189, 0)) <=> v124(constB189, 0)) | ((~v121(constB189, 1)) <=> v124(constB189, 1))) | (~((~v121(constB189, 1)) <=> v124(constB189, 1)))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33311,plain,
% 17.49/12.63 (~((~v121(constB189, 1)) <=> v124(constB189, 1))),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33310, 32476])).
% 17.49/12.63 tff(33312,plain,
% 17.49/12.63 ((v124(constB189, 2) | (~v124(constB189, 0)) | (~v124(constB189, 1))) | v124(constB189, 1)),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33313,plain,
% 17.49/12.63 (v124(constB189, 1)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33312, 33177])).
% 17.49/12.63 tff(33314,plain,
% 17.49/12.63 (((~v121(constB189, 1)) <=> v124(constB189, 1)) | v121(constB189, 1) | (~v124(constB189, 1))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33315,plain,
% 17.49/12.63 (v121(constB189, 1)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33314, 33313, 33311])).
% 17.49/12.63 tff(33316,plain,
% 17.49/12.63 (((~v123(constB190, 1)) <=> v121(constB189, 1)) | v123(constB190, 1) | (~v121(constB189, 1))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33317,plain,
% 17.49/12.63 (v123(constB190, 1)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33316, 33315, 33309])).
% 17.49/12.63 tff(33318,plain,
% 17.49/12.63 ((((~v84(constB190, 0)) <=> v123(constB190, 0)) | ((~v84(constB190, 2)) <=> v123(constB190, 2)) | ((~v84(constB190, 1)) <=> v123(constB190, 1))) | (~((~v84(constB190, 1)) <=> v123(constB190, 1)))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33319,plain,
% 17.49/12.63 (~((~v84(constB190, 1)) <=> v123(constB190, 1))),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33318, 33281])).
% 17.49/12.63 tff(33320,plain,
% 17.49/12.63 (((~v84(constB190, 1)) <=> v123(constB190, 1)) | v84(constB190, 1) | (~v123(constB190, 1))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33321,plain,
% 17.49/12.63 (v84(constB190, 1)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33320, 33319, 33317])).
% 17.49/12.63 tff(33322,plain,
% 17.49/12.63 (((~v84(constB191, 1)) <=> v84(constB190, 1)) | v84(constB191, 1) | (~v84(constB190, 1))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33323,plain,
% 17.49/12.63 (v84(constB191, 1)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33322, 33321, 33307])).
% 17.49/12.63 tff(33324,plain,
% 17.49/12.63 ((~(v84(constB191, 2) | (~v84(constB191, 1)) | (~v84(constB191, 0)))) | v84(constB191, 2) | (~v84(constB191, 1)) | (~v84(constB191, 0))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33325,plain,
% 17.49/12.63 (~(v84(constB191, 2) | (~v84(constB191, 1)) | (~v84(constB191, 0)))),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33324, 33323, 33305, 33287])).
% 17.49/12.63 tff(33326,plain,
% 17.49/12.63 ((~(v116(constB191) <=> (~(v84(constB191, 2) | (~v84(constB191, 1)) | (~v84(constB191, 0)))))) | v116(constB191) | (v84(constB191, 2) | (~v84(constB191, 1)) | (~v84(constB191, 0)))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33327,plain,
% 17.49/12.63 (v116(constB191)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33326, 33325, 32419])).
% 17.49/12.63 tff(33328,plain,
% 17.49/12.63 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB191)) | (~(v124(constB191, 0) | v124(constB191, 1) | (~v124(constB191, 2)))))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB191)) | (~(v124(constB191, 0) | v124(constB191, 1) | (~v124(constB191, 2)))))),
% 17.49/12.63 inference(rewrite,[status(thm)],[])).
% 17.49/12.63 tff(33329,plain,
% 17.49/12.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | ((~v116(constB191)) | (~(v124(constB191, 0) | v124(constB191, 1) | (~v124(constB191, 2)))))),
% 17.49/12.63 inference(quant_inst,[status(thm)],[])).
% 17.49/12.63 tff(33330,plain,
% 17.49/12.63 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~(v124(VarCurr, 0) | v124(VarCurr, 1) | (~v124(VarCurr, 2)))))) | (~v116(constB191)) | (~(v124(constB191, 0) | v124(constB191, 1) | (~v124(constB191, 2))))),
% 17.49/12.63 inference(modus_ponens,[status(thm)],[33329, 33328])).
% 17.49/12.63 tff(33331,plain,
% 17.49/12.63 ((~v116(constB191)) | (~(v124(constB191, 0) | v124(constB191, 1) | (~v124(constB191, 2))))),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33330, 3309])).
% 17.49/12.63 tff(33332,plain,
% 17.49/12.63 (~(v124(constB191, 0) | v124(constB191, 1) | (~v124(constB191, 2)))),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33331, 33327])).
% 17.49/12.63 tff(33333,plain,
% 17.49/12.63 ((v124(constB191, 0) | v124(constB191, 1) | (~v124(constB191, 2))) | v124(constB191, 2)),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33334,plain,
% 17.49/12.63 (v124(constB191, 2)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33333, 33332])).
% 17.49/12.63 tff(33335,plain,
% 17.49/12.63 (((~v121(constB191, 2)) <=> v124(constB191, 2)) | v121(constB191, 2) | (~v124(constB191, 2))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33336,plain,
% 17.49/12.63 (v121(constB191, 2)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33335, 33334, 32417])).
% 17.49/12.63 tff(33337,plain,
% 17.49/12.63 (((~v123(constB192, 2)) <=> v121(constB191, 2)) | v123(constB192, 2) | (~v121(constB191, 2))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33338,plain,
% 17.49/12.63 (v123(constB192, 2)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33337, 33336, 32403])).
% 17.49/12.63 tff(33339,plain,
% 17.49/12.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB191, constB192)) | (v94(constB192) <=> (~((~v95(constB192)) | (~v104(constB192))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB191, constB192)) | (v94(constB192) <=> (~((~v95(constB192)) | (~v104(constB192))))))),
% 17.49/12.63 inference(rewrite,[status(thm)],[])).
% 17.49/12.63 tff(33340,plain,
% 17.49/12.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | ((~nextState(constB191, constB192)) | (v94(constB192) <=> (~((~v95(constB192)) | (~v104(constB192))))))),
% 17.49/12.63 inference(quant_inst,[status(thm)],[])).
% 17.49/12.63 tff(33341,plain,
% 17.49/12.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v95(VarNext)) | (~v104(VarNext))))))) | (~nextState(constB191, constB192)) | (v94(constB192) <=> (~((~v95(constB192)) | (~v104(constB192)))))),
% 17.49/12.63 inference(modus_ponens,[status(thm)],[33340, 33339])).
% 17.49/12.63 tff(33342,plain,
% 17.49/12.63 (v94(constB192) <=> (~((~v95(constB192)) | (~v104(constB192))))),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33341, 32397, 770])).
% 17.49/12.63 tff(33343,plain,
% 17.49/12.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192))))))),
% 17.49/12.63 inference(rewrite,[status(thm)],[])).
% 17.49/12.63 tff(33344,plain,
% 17.49/12.63 (((~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v96(constB192)) | (~v1(constB192)))))) <=> ((~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192))))))),
% 17.49/12.63 inference(rewrite,[status(thm)],[])).
% 17.49/12.63 tff(33345,plain,
% 17.49/12.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v96(constB192)) | (~v1(constB192))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192)))))))),
% 17.49/12.63 inference(monotonicity,[status(thm)],[33344])).
% 17.49/12.63 tff(33346,plain,
% 17.49/12.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v96(constB192)) | (~v1(constB192))))))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192))))))),
% 17.49/12.63 inference(transitivity,[status(thm)],[33345, 33343])).
% 17.49/12.63 tff(33347,plain,
% 17.49/12.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v96(constB192)) | (~v1(constB192))))))),
% 17.49/12.63 inference(quant_inst,[status(thm)],[])).
% 17.49/12.63 tff(33348,plain,
% 17.49/12.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192)))))),
% 17.49/12.63 inference(modus_ponens,[status(thm)],[33347, 33346])).
% 17.49/12.63 tff(33349,plain,
% 17.49/12.63 (v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192))))),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33348, 32397, 790])).
% 17.49/12.63 tff(33350,plain,
% 17.49/12.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB191, constB192)) | ((~v96(constB192)) <=> v98(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB191, constB192)) | ((~v96(constB192)) <=> v98(constB192)))),
% 17.49/12.63 inference(rewrite,[status(thm)],[])).
% 17.49/12.63 tff(33351,plain,
% 17.49/12.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB191, constB192)) | ((~v96(constB192)) <=> v98(constB192)))),
% 17.49/12.63 inference(quant_inst,[status(thm)],[])).
% 17.49/12.63 tff(33352,plain,
% 17.49/12.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB191, constB192)) | ((~v96(constB192)) <=> v98(constB192))),
% 17.49/12.63 inference(modus_ponens,[status(thm)],[33351, 33350])).
% 17.49/12.63 tff(33353,plain,
% 17.49/12.63 ((~v96(constB192)) <=> v98(constB192)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33352, 32397, 2332])).
% 17.49/12.63 tff(33354,plain,
% 17.49/12.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB191, constB192)) | (v98(constB192) <=> v1(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB191, constB192)) | (v98(constB192) <=> v1(constB191)))),
% 17.49/12.63 inference(rewrite,[status(thm)],[])).
% 17.49/12.63 tff(33355,plain,
% 17.49/12.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB191, constB192)) | (v98(constB192) <=> v1(constB191)))),
% 17.49/12.63 inference(quant_inst,[status(thm)],[])).
% 17.49/12.63 tff(33356,plain,
% 17.49/12.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB191, constB192)) | (v98(constB192) <=> v1(constB191))),
% 17.49/12.63 inference(modus_ponens,[status(thm)],[33355, 33354])).
% 17.49/12.63 tff(33357,plain,
% 17.49/12.63 (v98(constB192) <=> v1(constB191)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33356, 32397, 2346])).
% 17.49/12.63 tff(33358,plain,
% 17.49/12.63 ((~(v98(constB192) <=> v1(constB191))) | (~v98(constB192)) | v1(constB191)),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33359,plain,
% 17.49/12.63 ((~(v98(constB192) <=> v1(constB191))) | (~v98(constB192))),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33358, 32436])).
% 17.49/12.63 tff(33360,plain,
% 17.49/12.63 (~v98(constB192)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33359, 33357])).
% 17.49/12.63 tff(33361,plain,
% 17.49/12.63 ((~((~v96(constB192)) <=> v98(constB192))) | v96(constB192) | v98(constB192)),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33362,plain,
% 17.49/12.63 (v96(constB192)),
% 17.49/12.63 inference(unit_resolution,[status(thm)],[33361, 33360, 33353])).
% 17.49/12.63 tff(33363,plain,
% 17.49/12.63 (v1(constB192) <=> v1(constB192)),
% 17.49/12.63 inference(rewrite,[status(thm)],[])).
% 17.49/12.63 tff(33364,axiom,(v1(constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_192')).
% 17.49/12.63 tff(33365,plain,
% 17.49/12.63 (v1(constB192)),
% 17.49/12.63 inference(modus_ponens,[status(thm)],[33364, 33363])).
% 17.49/12.63 tff(33366,plain,
% 17.49/12.63 ((~((~v1(constB192)) | (~v96(constB192)))) | (~v1(constB192)) | (~v96(constB192))),
% 17.49/12.63 inference(tautology,[status(thm)],[])).
% 17.49/12.63 tff(33367,plain,
% 17.50/12.64 ((~((~v1(constB192)) | (~v96(constB192)))) | (~v96(constB192))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33366, 33365])).
% 17.50/12.64 tff(33368,plain,
% 17.50/12.64 (~((~v1(constB192)) | (~v96(constB192)))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33367, 33362])).
% 17.50/12.64 tff(33369,plain,
% 17.50/12.64 ((~(v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192)))))) | v95(constB192) | ((~v1(constB192)) | (~v96(constB192)))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33370,plain,
% 17.50/12.64 (v95(constB192)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33369, 33368, 33349])).
% 17.50/12.64 tff(33371,plain,
% 17.50/12.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB191, constB192)) | (v104(constB192) <=> v102(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB191, constB192)) | (v104(constB192) <=> v102(constB191)))),
% 17.50/12.64 inference(rewrite,[status(thm)],[])).
% 17.50/12.64 tff(33372,plain,
% 17.50/12.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB191, constB192)) | (v104(constB192) <=> v102(constB191)))),
% 17.50/12.64 inference(quant_inst,[status(thm)],[])).
% 17.50/12.64 tff(33373,plain,
% 17.50/12.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB191, constB192)) | (v104(constB192) <=> v102(constB191))),
% 17.50/12.64 inference(modus_ponens,[status(thm)],[33372, 33371])).
% 17.50/12.64 tff(33374,plain,
% 17.50/12.64 (v104(constB192) <=> v102(constB191)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33373, 32397, 2373])).
% 17.50/12.64 tff(33375,plain,
% 17.50/12.64 ((~![VarCurr: state_type] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB191) <=> (v105(constB191) | v106(constB191)))),
% 17.50/12.64 inference(quant_inst,[status(thm)],[])).
% 17.50/12.64 tff(33376,plain,
% 17.50/12.64 (v102(constB191) <=> (v105(constB191) | v106(constB191))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33375, 2384])).
% 17.50/12.64 tff(33377,plain,
% 17.50/12.64 ((~![VarCurr: state_type] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB191) <=> (~((~v107(constB191)) | (~v120(constB191)))))),
% 17.50/12.64 inference(quant_inst,[status(thm)],[])).
% 17.50/12.64 tff(33378,plain,
% 17.50/12.64 (v106(constB191) <=> (~((~v107(constB191)) | (~v120(constB191))))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33377, 2396])).
% 17.50/12.64 tff(33379,plain,
% 17.50/12.64 ((~![VarCurr: state_type] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB191) <=> (v108(constB191) | v119(constB191)))),
% 17.50/12.64 inference(quant_inst,[status(thm)],[])).
% 17.50/12.64 tff(33380,plain,
% 17.50/12.64 (v107(constB191) <=> (v108(constB191) | v119(constB191))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33379, 2405])).
% 17.50/12.64 tff(33381,plain,
% 17.50/12.64 ((~![VarCurr: state_type] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB191) <=> (v109(constB191) | v118(constB191)))),
% 17.50/12.64 inference(quant_inst,[status(thm)],[])).
% 17.50/12.64 tff(33382,plain,
% 17.50/12.64 (v108(constB191) <=> (v109(constB191) | v118(constB191))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33381, 2414])).
% 17.50/12.64 tff(33383,plain,
% 17.50/12.64 ((~![VarCurr: state_type] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB191) <=> (v110(constB191) | v117(constB191)))),
% 17.50/12.64 inference(quant_inst,[status(thm)],[])).
% 17.50/12.64 tff(33384,plain,
% 17.50/12.64 (v109(constB191) <=> (v110(constB191) | v117(constB191))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33383, 2423])).
% 17.50/12.64 tff(33385,plain,
% 17.50/12.64 ((~![VarCurr: state_type] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB191) <=> (v111(constB191) | v116(constB191)))),
% 17.50/12.64 inference(quant_inst,[status(thm)],[])).
% 17.50/12.64 tff(33386,plain,
% 17.50/12.64 (v110(constB191) <=> (v111(constB191) | v116(constB191))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33385, 2432])).
% 17.50/12.64 tff(33387,plain,
% 17.50/12.64 ((v111(constB191) | v116(constB191)) | (~v116(constB191))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33388,plain,
% 17.50/12.64 (v111(constB191) | v116(constB191)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33387, 33327])).
% 17.50/12.64 tff(33389,plain,
% 17.50/12.64 ((~(v110(constB191) <=> (v111(constB191) | v116(constB191)))) | v110(constB191) | (~(v111(constB191) | v116(constB191)))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33390,plain,
% 17.50/12.64 (v110(constB191)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33389, 33388, 33386])).
% 17.50/12.64 tff(33391,plain,
% 17.50/12.64 ((v110(constB191) | v117(constB191)) | (~v110(constB191))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33392,plain,
% 17.50/12.64 (v110(constB191) | v117(constB191)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33391, 33390])).
% 17.50/12.64 tff(33393,plain,
% 17.50/12.64 ((~(v109(constB191) <=> (v110(constB191) | v117(constB191)))) | v109(constB191) | (~(v110(constB191) | v117(constB191)))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33394,plain,
% 17.50/12.64 (v109(constB191)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33393, 33392, 33384])).
% 17.50/12.64 tff(33395,plain,
% 17.50/12.64 ((v109(constB191) | v118(constB191)) | (~v109(constB191))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33396,plain,
% 17.50/12.64 (v109(constB191) | v118(constB191)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33395, 33394])).
% 17.50/12.64 tff(33397,plain,
% 17.50/12.64 ((~(v108(constB191) <=> (v109(constB191) | v118(constB191)))) | v108(constB191) | (~(v109(constB191) | v118(constB191)))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33398,plain,
% 17.50/12.64 (v108(constB191)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33397, 33396, 33382])).
% 17.50/12.64 tff(33399,plain,
% 17.50/12.64 ((v108(constB191) | v119(constB191)) | (~v108(constB191))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33400,plain,
% 17.50/12.64 (v108(constB191) | v119(constB191)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33399, 33398])).
% 17.50/12.64 tff(33401,plain,
% 17.50/12.64 ((~(v107(constB191) <=> (v108(constB191) | v119(constB191)))) | v107(constB191) | (~(v108(constB191) | v119(constB191)))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33402,plain,
% 17.50/12.64 (v107(constB191)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33401, 33400, 33380])).
% 17.50/12.64 tff(33403,plain,
% 17.50/12.64 ((~![VarCurr: state_type] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB191)) <=> v105(constB191))),
% 17.50/12.64 inference(quant_inst,[status(thm)],[])).
% 17.50/12.64 tff(33404,plain,
% 17.50/12.64 ((~v120(constB191)) <=> v105(constB191)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33403, 2484])).
% 17.50/12.64 tff(33405,plain,
% 17.50/12.64 ((~((~v120(constB191)) <=> v105(constB191))) | v120(constB191) | v105(constB191)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33406,plain,
% 17.50/12.64 ((~((~v120(constB191)) <=> v105(constB191))) | v120(constB191)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33405, 32410])).
% 17.50/12.64 tff(33407,plain,
% 17.50/12.64 (v120(constB191)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33406, 33404])).
% 17.50/12.64 tff(33408,plain,
% 17.50/12.64 ((~((~v107(constB191)) | (~v120(constB191)))) | (~v107(constB191)) | (~v120(constB191))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33409,plain,
% 17.50/12.64 ((~((~v107(constB191)) | (~v120(constB191)))) | (~v107(constB191))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33408, 33407])).
% 17.50/12.64 tff(33410,plain,
% 17.50/12.64 (~((~v107(constB191)) | (~v120(constB191)))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33409, 33402])).
% 17.50/12.64 tff(33411,plain,
% 17.50/12.64 ((~(v106(constB191) <=> (~((~v107(constB191)) | (~v120(constB191)))))) | v106(constB191) | ((~v107(constB191)) | (~v120(constB191)))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33412,plain,
% 17.50/12.64 (v106(constB191)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33411, 33410, 33378])).
% 17.50/12.64 tff(33413,plain,
% 17.50/12.64 ((v105(constB191) | v106(constB191)) | (~v106(constB191))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33414,plain,
% 17.50/12.64 (v105(constB191) | v106(constB191)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33413, 33412])).
% 17.50/12.64 tff(33415,plain,
% 17.50/12.64 ((~(v102(constB191) <=> (v105(constB191) | v106(constB191)))) | v102(constB191) | (~(v105(constB191) | v106(constB191)))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33416,plain,
% 17.50/12.64 (v102(constB191)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33415, 33414, 33376])).
% 17.50/12.64 tff(33417,plain,
% 17.50/12.64 ((~(v104(constB192) <=> v102(constB191))) | v104(constB192) | (~v102(constB191))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33418,plain,
% 17.50/12.64 (v104(constB192)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33417, 33416, 33374])).
% 17.50/12.64 tff(33419,plain,
% 17.50/12.64 ((~((~v95(constB192)) | (~v104(constB192)))) | (~v95(constB192)) | (~v104(constB192))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33420,plain,
% 17.50/12.64 (~((~v95(constB192)) | (~v104(constB192)))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33419, 33418, 33370])).
% 17.50/12.64 tff(33421,plain,
% 17.50/12.64 ((~(v94(constB192) <=> (~((~v95(constB192)) | (~v104(constB192)))))) | v94(constB192) | ((~v95(constB192)) | (~v104(constB192)))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33422,plain,
% 17.50/12.64 (v94(constB192)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33421, 33420, 33342])).
% 17.50/12.64 tff(33423,plain,
% 17.50/12.64 (((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB192)) | (~(((~v84(constB192, 2)) <=> v123(constB192, 2)) | ((~v84(constB192, 1)) <=> v123(constB192, 1)) | ((~v84(constB192, 0)) <=> v123(constB192, 0)))))) <=> ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB192)) | (~(((~v84(constB192, 2)) <=> v123(constB192, 2)) | ((~v84(constB192, 1)) <=> v123(constB192, 1)) | ((~v84(constB192, 0)) <=> v123(constB192, 0)))))),
% 17.50/12.64 inference(rewrite,[status(thm)],[])).
% 17.50/12.64 tff(33424,plain,
% 17.50/12.64 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | ((~v94(constB192)) | (~(((~v84(constB192, 2)) <=> v123(constB192, 2)) | ((~v84(constB192, 1)) <=> v123(constB192, 1)) | ((~v84(constB192, 0)) <=> v123(constB192, 0)))))),
% 17.50/12.64 inference(quant_inst,[status(thm)],[])).
% 17.50/12.64 tff(33425,plain,
% 17.50/12.64 ((~![VarNext: state_type] : ((~v94(VarNext)) | (~(((~v84(VarNext, 2)) <=> v123(VarNext, 2)) | ((~v84(VarNext, 1)) <=> v123(VarNext, 1)) | ((~v84(VarNext, 0)) <=> v123(VarNext, 0)))))) | (~v94(constB192)) | (~(((~v84(constB192, 2)) <=> v123(constB192, 2)) | ((~v84(constB192, 1)) <=> v123(constB192, 1)) | ((~v84(constB192, 0)) <=> v123(constB192, 0))))),
% 17.50/12.64 inference(modus_ponens,[status(thm)],[33424, 33423])).
% 17.50/12.64 tff(33426,plain,
% 17.50/12.64 ((~v94(constB192)) | (~(((~v84(constB192, 2)) <=> v123(constB192, 2)) | ((~v84(constB192, 1)) <=> v123(constB192, 1)) | ((~v84(constB192, 0)) <=> v123(constB192, 0))))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33425, 2517])).
% 17.50/12.64 tff(33427,plain,
% 17.50/12.64 (~(((~v84(constB192, 2)) <=> v123(constB192, 2)) | ((~v84(constB192, 1)) <=> v123(constB192, 1)) | ((~v84(constB192, 0)) <=> v123(constB192, 0)))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33426, 33422])).
% 17.50/12.64 tff(33428,plain,
% 17.50/12.64 ((((~v84(constB192, 2)) <=> v123(constB192, 2)) | ((~v84(constB192, 1)) <=> v123(constB192, 1)) | ((~v84(constB192, 0)) <=> v123(constB192, 0))) | (~((~v84(constB192, 2)) <=> v123(constB192, 2)))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33429,plain,
% 17.50/12.64 (~((~v84(constB192, 2)) <=> v123(constB192, 2))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33428, 33427])).
% 17.50/12.64 tff(33430,plain,
% 17.50/12.64 (((~v84(constB192, 2)) <=> v123(constB192, 2)) | v84(constB192, 2) | (~v123(constB192, 2))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33431,plain,
% 17.50/12.64 (v84(constB192, 2)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33430, 33429, 33338])).
% 17.50/12.64 tff(33432,plain,
% 17.50/12.64 (((~v84(constB193, 2)) <=> v84(constB192, 2)) | v84(constB193, 2) | (~v84(constB192, 2))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33433,plain,
% 17.50/12.64 (v84(constB193, 2)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33432, 33431, 32394])).
% 17.50/12.64 tff(33434,plain,
% 17.50/12.64 ((v84(constB193, 1) | v84(constB193, 2) | (~v84(constB193, 0))) | (~v84(constB193, 2))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33435,plain,
% 17.50/12.64 (v84(constB193, 1) | v84(constB193, 2) | (~v84(constB193, 0))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33434, 33433])).
% 17.50/12.64 tff(33436,plain,
% 17.50/12.64 ((~(v145(constB193) <=> (~(v84(constB193, 1) | v84(constB193, 2) | (~v84(constB193, 0)))))) | (~v145(constB193)) | (~(v84(constB193, 1) | v84(constB193, 2) | (~v84(constB193, 0))))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33437,plain,
% 17.50/12.64 (~v145(constB193)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33436, 33435, 32361])).
% 17.50/12.64 tff(33438,plain,
% 17.50/12.64 (((~v141(constB193)) | (~v145(constB193))) | v145(constB193)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33439,plain,
% 17.50/12.64 ((~v141(constB193)) | (~v145(constB193))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33438, 33437])).
% 17.50/12.64 tff(33440,plain,
% 17.50/12.64 ((~(v144(constB193) <=> (~((~v141(constB193)) | (~v145(constB193)))))) | (~v144(constB193)) | (~((~v141(constB193)) | (~v145(constB193))))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33441,plain,
% 17.50/12.64 (~v144(constB193)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33440, 33439, 32359])).
% 17.50/12.64 tff(33442,plain,
% 17.50/12.64 (((~v143(constB193)) | (~v144(constB193))) | v144(constB193)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33443,plain,
% 17.50/12.64 ((~v143(constB193)) | (~v144(constB193))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33442, 33441])).
% 17.50/12.64 tff(33444,plain,
% 17.50/12.64 ((~(v142(constB193) <=> (~((~v143(constB193)) | (~v144(constB193)))))) | (~v142(constB193)) | (~((~v143(constB193)) | (~v144(constB193))))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33445,plain,
% 17.50/12.64 (~v142(constB193)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33444, 33443, 32357])).
% 17.50/12.64 tff(33446,plain,
% 17.50/12.64 ((~(v138(constB193) | v142(constB193))) | v138(constB193) | v142(constB193)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33447,plain,
% 17.50/12.64 (~(v138(constB193) | v142(constB193))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33446, 33445, 32355])).
% 17.50/12.64 tff(33448,plain,
% 17.50/12.64 ((~(v135(constB193) <=> (v138(constB193) | v142(constB193)))) | (~v135(constB193)) | (v138(constB193) | v142(constB193))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33449,plain,
% 17.50/12.64 (~v135(constB193)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33448, 33447, 32279])).
% 17.50/12.64 tff(33450,plain,
% 17.50/12.64 ((~(v137(constB194) <=> v135(constB193))) | (~v137(constB194)) | v135(constB193)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33451,plain,
% 17.50/12.64 (~v137(constB194)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33450, 33449, 32277])).
% 17.50/12.64 tff(33452,plain,
% 17.50/12.64 ((~(v132(constB194) <=> v137(constB194))) | (~v132(constB194)) | v137(constB194)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33453,plain,
% 17.50/12.64 (~v132(constB194)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33452, 33451, 32270])).
% 17.50/12.64 tff(33454,plain,
% 17.50/12.64 (((~v132(constB194)) | (~v139(constB194))) | v132(constB194)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33455,plain,
% 17.50/12.64 ((~v132(constB194)) | (~v139(constB194))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33454, 33453])).
% 17.50/12.64 tff(33456,plain,
% 17.50/12.64 ((~(v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194)))))) | (~v138(constB194)) | (~((~v132(constB194)) | (~v139(constB194))))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33457,plain,
% 17.50/12.64 (~v138(constB194)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33456, 33455, 32268])).
% 17.50/12.64 tff(33458,plain,
% 17.50/12.64 ((~(v138(constB194) | v142(constB194))) | v138(constB194) | v142(constB194)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33459,plain,
% 17.50/12.64 (~(v138(constB194) | v142(constB194))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33458, 33457, 32261])).
% 17.50/12.64 tff(33460,plain,
% 17.50/12.64 ((~(v135(constB194) <=> (v138(constB194) | v142(constB194)))) | (~v135(constB194)) | (v138(constB194) | v142(constB194))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33461,plain,
% 17.50/12.64 (~v135(constB194)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33460, 33459, 32233])).
% 17.50/12.64 tff(33462,plain,
% 17.50/12.64 ((~(v137(constB195) <=> v135(constB194))) | (~v137(constB195)) | v135(constB194)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33463,plain,
% 17.50/12.64 (~v137(constB195)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33462, 33461, 32231])).
% 17.50/12.64 tff(33464,plain,
% 17.50/12.64 ((~(v132(constB195) <=> v137(constB195))) | (~v132(constB195)) | v137(constB195)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33465,plain,
% 17.50/12.64 (~v132(constB195)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33464, 33463, 32224])).
% 17.50/12.64 tff(33466,plain,
% 17.50/12.64 (((~v132(constB195)) | (~v155(constB195))) | v132(constB195)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33467,plain,
% 17.50/12.64 ((~v132(constB195)) | (~v155(constB195))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33466, 33465])).
% 17.50/12.64 tff(33468,plain,
% 17.50/12.64 ((~(v154(constB195) <=> (~((~v132(constB195)) | (~v155(constB195)))))) | (~v154(constB195)) | (~((~v132(constB195)) | (~v155(constB195))))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33469,plain,
% 17.50/12.64 (~v154(constB195)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33468, 33467, 32222])).
% 17.50/12.64 tff(33470,plain,
% 17.50/12.64 ((~(v153(constB195) | v154(constB195))) | v153(constB195) | v154(constB195)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33471,plain,
% 17.50/12.64 (~(v153(constB195) | v154(constB195))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33470, 33469, 32215])).
% 17.50/12.64 tff(33472,plain,
% 17.50/12.64 ((~(v150(constB195) <=> (v153(constB195) | v154(constB195)))) | (~v150(constB195)) | (v153(constB195) | v154(constB195))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33473,plain,
% 17.50/12.64 (~v150(constB195)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33472, 33471, 32139])).
% 17.50/12.64 tff(33474,plain,
% 17.50/12.64 ((~(v152(constB196) <=> v150(constB195))) | (~v152(constB196)) | v150(constB195)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33475,plain,
% 17.50/12.64 (~v152(constB196)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33474, 33473, 32137])).
% 17.50/12.64 tff(33476,plain,
% 17.50/12.64 ((~(v130(constB196) <=> v152(constB196))) | (~v130(constB196)) | v152(constB196)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33477,plain,
% 17.50/12.64 (~v130(constB196)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33476, 33475, 32130])).
% 17.50/12.64 tff(33478,plain,
% 17.50/12.64 (((~v130(constB196)) | (~v139(constB196))) | v130(constB196)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33479,plain,
% 17.50/12.64 ((~v130(constB196)) | (~v139(constB196))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33478, 33477])).
% 17.50/12.64 tff(33480,plain,
% 17.50/12.64 ((~(v153(constB196) <=> (~((~v130(constB196)) | (~v139(constB196)))))) | (~v153(constB196)) | (~((~v130(constB196)) | (~v139(constB196))))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33481,plain,
% 17.50/12.64 (~v153(constB196)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33480, 33479, 32128])).
% 17.50/12.64 tff(33482,plain,
% 17.50/12.64 ((~(v153(constB196) | v154(constB196))) | v153(constB196) | v154(constB196)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33483,plain,
% 17.50/12.64 (~(v153(constB196) | v154(constB196))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33482, 33481, 32121])).
% 17.50/12.64 tff(33484,plain,
% 17.50/12.64 ((~(v150(constB196) <=> (v153(constB196) | v154(constB196)))) | (~v150(constB196)) | (v153(constB196) | v154(constB196))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33485,plain,
% 17.50/12.64 (~v150(constB196)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33484, 33483, 32083])).
% 17.50/12.64 tff(33486,plain,
% 17.50/12.64 ((~(v152(constB197) <=> v150(constB196))) | (~v152(constB197)) | v150(constB196)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33487,plain,
% 17.50/12.64 (~v152(constB197)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33486, 33485, 32081])).
% 17.50/12.64 tff(33488,plain,
% 17.50/12.64 ((~(v130(constB197) <=> v152(constB197))) | (~v130(constB197)) | v152(constB197)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33489,plain,
% 17.50/12.64 (~v130(constB197)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33488, 33487, 32074])).
% 17.50/12.64 tff(33490,plain,
% 17.50/12.64 (((~v130(constB197)) | (~v155(constB197))) | v130(constB197)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33491,plain,
% 17.50/12.64 ((~v130(constB197)) | (~v155(constB197))),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33490, 33489])).
% 17.50/12.64 tff(33492,plain,
% 17.50/12.64 ((~(v164(constB197) <=> (~((~v130(constB197)) | (~v155(constB197)))))) | (~v164(constB197)) | (~((~v130(constB197)) | (~v155(constB197))))),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33493,plain,
% 17.50/12.64 (~v164(constB197)),
% 17.50/12.64 inference(unit_resolution,[status(thm)],[33492, 33491, 32072])).
% 17.50/12.64 tff(33494,plain,
% 17.50/12.64 ((~(v163(constB197) | v164(constB197))) | v163(constB197) | v164(constB197)),
% 17.50/12.64 inference(tautology,[status(thm)],[])).
% 17.50/12.64 tff(33495,plain,
% 17.50/12.64 (~(v163(constB197) | v164(constB197))),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33494, 33493, 32065])).
% 17.50/12.65 tff(33496,plain,
% 17.50/12.65 ((~(v160(constB197) <=> (v163(constB197) | v164(constB197)))) | (~v160(constB197)) | (v163(constB197) | v164(constB197))),
% 17.50/12.65 inference(tautology,[status(thm)],[])).
% 17.50/12.65 tff(33497,plain,
% 17.50/12.65 (~v160(constB197)),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33496, 33495, 31989])).
% 17.50/12.65 tff(33498,plain,
% 17.50/12.65 ((~(v162(constB198) <=> v160(constB197))) | (~v162(constB198)) | v160(constB197)),
% 17.50/12.65 inference(tautology,[status(thm)],[])).
% 17.50/12.65 tff(33499,plain,
% 17.50/12.65 (~v162(constB198)),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33498, 33497, 31987])).
% 17.50/12.65 tff(33500,plain,
% 17.50/12.65 ((~(v128(constB198) <=> v162(constB198))) | (~v128(constB198)) | v162(constB198)),
% 17.50/12.65 inference(tautology,[status(thm)],[])).
% 17.50/12.65 tff(33501,plain,
% 17.50/12.65 (~v128(constB198)),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33500, 33499, 31980])).
% 17.50/12.65 tff(33502,plain,
% 17.50/12.65 (((~v128(constB198)) | (~v139(constB198))) | v128(constB198)),
% 17.50/12.65 inference(tautology,[status(thm)],[])).
% 17.50/12.65 tff(33503,plain,
% 17.50/12.65 ((~v128(constB198)) | (~v139(constB198))),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33502, 33501])).
% 17.50/12.65 tff(33504,plain,
% 17.50/12.65 ((~(v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198)))))) | (~v163(constB198)) | (~((~v128(constB198)) | (~v139(constB198))))),
% 17.50/12.65 inference(tautology,[status(thm)],[])).
% 17.50/12.65 tff(33505,plain,
% 17.50/12.65 (~v163(constB198)),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33504, 33503, 31978])).
% 17.50/12.65 tff(33506,plain,
% 17.50/12.65 ((~(v163(constB198) | v164(constB198))) | v163(constB198) | v164(constB198)),
% 17.50/12.65 inference(tautology,[status(thm)],[])).
% 17.50/12.65 tff(33507,plain,
% 17.50/12.65 (~(v163(constB198) | v164(constB198))),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33506, 33505, 31971])).
% 17.50/12.65 tff(33508,plain,
% 17.50/12.65 ((~(v160(constB198) <=> (v163(constB198) | v164(constB198)))) | (~v160(constB198)) | (v163(constB198) | v164(constB198))),
% 17.50/12.65 inference(tautology,[status(thm)],[])).
% 17.50/12.65 tff(33509,plain,
% 17.50/12.65 (~v160(constB198)),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33508, 33507, 31933])).
% 17.50/12.65 tff(33510,plain,
% 17.50/12.65 ((~(v162(constB199) <=> v160(constB198))) | (~v162(constB199)) | v160(constB198)),
% 17.50/12.65 inference(tautology,[status(thm)],[])).
% 17.50/12.65 tff(33511,plain,
% 17.50/12.65 (~v162(constB199)),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33510, 33509, 31931])).
% 17.50/12.65 tff(33512,plain,
% 17.50/12.65 ($false),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33511, 31924])).
% 17.50/12.65 tff(33513,plain,(~(constB199 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.50/12.65 tff(33514,assumption,(constB37 = VarCurr!0), introduced(assumption)).
% 17.50/12.65 tff(33515,plain,
% 17.50/12.65 (v162(constB37) <=> v162(VarCurr!0)),
% 17.50/12.65 inference(monotonicity,[status(thm)],[33514])).
% 17.50/12.65 tff(33516,plain,
% 17.50/12.65 (v162(VarCurr!0) <=> v162(constB37)),
% 17.50/12.65 inference(symmetry,[status(thm)],[33515])).
% 17.50/12.65 tff(33517,plain,
% 17.50/12.65 (v162(constB37)),
% 17.50/12.65 inference(modus_ponens,[status(thm)],[59, 33516])).
% 17.50/12.65 tff(33518,plain,
% 17.50/12.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB36, constB37)) | (v162(constB37) <=> v160(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB36, constB37)) | (v162(constB37) <=> v160(constB36)))),
% 17.50/12.65 inference(rewrite,[status(thm)],[])).
% 17.50/12.65 tff(33519,plain,
% 17.50/12.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB36, constB37)) | (v162(constB37) <=> v160(constB36)))),
% 17.50/12.65 inference(quant_inst,[status(thm)],[])).
% 17.50/12.65 tff(33520,plain,
% 17.50/12.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB36, constB37)) | (v162(constB37) <=> v160(constB36))),
% 17.50/12.65 inference(modus_ponens,[status(thm)],[33519, 33518])).
% 17.50/12.65 tff(33521,plain,
% 17.50/12.65 (v162(constB37) <=> v160(constB36)),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33520, 1069, 70])).
% 17.50/12.65 tff(33522,plain,
% 17.50/12.65 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB36) <=> (v163(constB36) | v164(constB36)))),
% 17.50/12.65 inference(quant_inst,[status(thm)],[])).
% 17.50/12.65 tff(33523,plain,
% 17.50/12.65 (v160(constB36) <=> (v163(constB36) | v164(constB36))),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33522, 84])).
% 17.50/12.65 tff(33524,plain,
% 17.50/12.65 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB36) <=> (~((~v130(constB36)) | (~v155(constB36)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB36) <=> (~((~v130(constB36)) | (~v155(constB36))))))),
% 17.50/12.65 inference(rewrite,[status(thm)],[])).
% 17.50/12.65 tff(33525,plain,
% 17.50/12.65 ((v164(constB36) <=> (~((~v155(constB36)) | (~v130(constB36))))) <=> (v164(constB36) <=> (~((~v130(constB36)) | (~v155(constB36)))))),
% 17.50/12.65 inference(rewrite,[status(thm)],[])).
% 17.50/12.65 tff(33526,plain,
% 17.50/12.65 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB36) <=> (~((~v155(constB36)) | (~v130(constB36)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB36) <=> (~((~v130(constB36)) | (~v155(constB36))))))),
% 17.50/12.65 inference(monotonicity,[status(thm)],[33525])).
% 17.50/12.65 tff(33527,plain,
% 17.50/12.65 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB36) <=> (~((~v155(constB36)) | (~v130(constB36)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB36) <=> (~((~v130(constB36)) | (~v155(constB36))))))),
% 17.50/12.65 inference(transitivity,[status(thm)],[33526, 33524])).
% 17.50/12.65 tff(33528,plain,
% 17.50/12.65 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB36) <=> (~((~v155(constB36)) | (~v130(constB36)))))),
% 17.50/12.65 inference(quant_inst,[status(thm)],[])).
% 17.50/12.65 tff(33529,plain,
% 17.50/12.65 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB36) <=> (~((~v130(constB36)) | (~v155(constB36)))))),
% 17.50/12.65 inference(modus_ponens,[status(thm)],[33528, 33527])).
% 17.50/12.65 tff(33530,plain,
% 17.50/12.65 (v164(constB36) <=> (~((~v130(constB36)) | (~v155(constB36))))),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33529, 96])).
% 17.50/12.65 tff(33531,plain,
% 17.50/12.65 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB36) <=> (~((~v141(constB36)) | (~v143(constB36)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB36) <=> (~((~v141(constB36)) | (~v143(constB36))))))),
% 17.50/12.65 inference(rewrite,[status(thm)],[])).
% 17.50/12.65 tff(33532,plain,
% 17.50/12.65 ((v155(constB36) <=> (~((~v143(constB36)) | (~v141(constB36))))) <=> (v155(constB36) <=> (~((~v141(constB36)) | (~v143(constB36)))))),
% 17.50/12.65 inference(rewrite,[status(thm)],[])).
% 17.50/12.65 tff(33533,plain,
% 17.50/12.65 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB36) <=> (~((~v143(constB36)) | (~v141(constB36)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB36) <=> (~((~v141(constB36)) | (~v143(constB36))))))),
% 17.50/12.65 inference(monotonicity,[status(thm)],[33532])).
% 17.50/12.65 tff(33534,plain,
% 17.50/12.65 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB36) <=> (~((~v143(constB36)) | (~v141(constB36)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB36) <=> (~((~v141(constB36)) | (~v143(constB36))))))),
% 17.50/12.65 inference(transitivity,[status(thm)],[33533, 33531])).
% 17.50/12.65 tff(33535,plain,
% 17.50/12.65 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB36) <=> (~((~v143(constB36)) | (~v141(constB36)))))),
% 17.50/12.65 inference(quant_inst,[status(thm)],[])).
% 17.50/12.65 tff(33536,plain,
% 17.50/12.65 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB36) <=> (~((~v141(constB36)) | (~v143(constB36)))))),
% 17.50/12.65 inference(modus_ponens,[status(thm)],[33535, 33534])).
% 17.50/12.65 tff(33537,plain,
% 17.50/12.65 (v155(constB36) <=> (~((~v141(constB36)) | (~v143(constB36))))),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33536, 113])).
% 17.50/12.65 tff(33538,plain,
% 17.50/12.65 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB36) <=> (~((~v39(constB36)) | (~v9(constB36)))))),
% 17.50/12.65 inference(quant_inst,[status(thm)],[])).
% 17.50/12.65 tff(33539,plain,
% 17.50/12.65 (v141(constB36) <=> (~((~v39(constB36)) | (~v9(constB36))))),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33538, 130])).
% 17.50/12.65 tff(33540,plain,
% 17.50/12.65 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB36)) <=> v1(constB36))),
% 17.50/12.65 inference(quant_inst,[status(thm)],[])).
% 17.50/12.65 tff(33541,plain,
% 17.50/12.65 ((~v39(constB36)) <=> v1(constB36)),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33540, 139])).
% 17.50/12.65 tff(33542,plain,
% 17.50/12.65 ((~((~v39(constB36)) <=> v1(constB36))) | (~v39(constB36)) | (~v1(constB36))),
% 17.50/12.65 inference(tautology,[status(thm)],[])).
% 17.50/12.65 tff(33543,plain,
% 17.50/12.65 ((~((~v39(constB36)) <=> v1(constB36))) | (~v39(constB36))),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33542, 5276])).
% 17.50/12.65 tff(33544,plain,
% 17.50/12.65 (~v39(constB36)),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33543, 33541])).
% 17.50/12.65 tff(33545,plain,
% 17.50/12.65 (((~v39(constB36)) | (~v9(constB36))) | v39(constB36)),
% 17.50/12.65 inference(tautology,[status(thm)],[])).
% 17.50/12.65 tff(33546,plain,
% 17.50/12.65 ((~v39(constB36)) | (~v9(constB36))),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33545, 33544])).
% 17.50/12.65 tff(33547,plain,
% 17.50/12.65 ((~(v141(constB36) <=> (~((~v39(constB36)) | (~v9(constB36)))))) | (~v141(constB36)) | (~((~v39(constB36)) | (~v9(constB36))))),
% 17.50/12.65 inference(tautology,[status(thm)],[])).
% 17.50/12.65 tff(33548,plain,
% 17.50/12.65 ((~(v141(constB36) <=> (~((~v39(constB36)) | (~v9(constB36)))))) | (~v141(constB36))),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33547, 33546])).
% 17.50/12.65 tff(33549,plain,
% 17.50/12.65 (~v141(constB36)),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33548, 33539])).
% 17.50/12.65 tff(33550,plain,
% 17.50/12.65 (((~v141(constB36)) | (~v143(constB36))) | v141(constB36)),
% 17.50/12.65 inference(tautology,[status(thm)],[])).
% 17.50/12.65 tff(33551,plain,
% 17.50/12.65 ((~v141(constB36)) | (~v143(constB36))),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33550, 33549])).
% 17.50/12.65 tff(33552,plain,
% 17.50/12.65 ((~(v155(constB36) <=> (~((~v141(constB36)) | (~v143(constB36)))))) | (~v155(constB36)) | (~((~v141(constB36)) | (~v143(constB36))))),
% 17.50/12.65 inference(tautology,[status(thm)],[])).
% 17.50/12.65 tff(33553,plain,
% 17.50/12.65 ((~(v155(constB36) <=> (~((~v141(constB36)) | (~v143(constB36)))))) | (~v155(constB36))),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33552, 33551])).
% 17.50/12.65 tff(33554,plain,
% 17.50/12.65 (~v155(constB36)),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33553, 33537])).
% 17.50/12.65 tff(33555,plain,
% 17.50/12.65 (((~v130(constB36)) | (~v155(constB36))) | v155(constB36)),
% 17.50/12.65 inference(tautology,[status(thm)],[])).
% 17.50/12.65 tff(33556,plain,
% 17.50/12.65 ((~v130(constB36)) | (~v155(constB36))),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33555, 33554])).
% 17.50/12.65 tff(33557,plain,
% 17.50/12.65 ((~(v164(constB36) <=> (~((~v130(constB36)) | (~v155(constB36)))))) | (~v164(constB36)) | (~((~v130(constB36)) | (~v155(constB36))))),
% 17.50/12.65 inference(tautology,[status(thm)],[])).
% 17.50/12.65 tff(33558,plain,
% 17.50/12.65 (~v164(constB36)),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33557, 33556, 33530])).
% 17.50/12.65 tff(33559,plain,
% 17.50/12.65 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB36) <=> (~((~v128(constB36)) | (~v139(constB36)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB36) <=> (~((~v128(constB36)) | (~v139(constB36))))))),
% 17.50/12.65 inference(rewrite,[status(thm)],[])).
% 17.50/12.65 tff(33560,plain,
% 17.50/12.65 ((v163(constB36) <=> (~((~v139(constB36)) | (~v128(constB36))))) <=> (v163(constB36) <=> (~((~v128(constB36)) | (~v139(constB36)))))),
% 17.50/12.65 inference(rewrite,[status(thm)],[])).
% 17.50/12.65 tff(33561,plain,
% 17.50/12.65 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB36) <=> (~((~v139(constB36)) | (~v128(constB36)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB36) <=> (~((~v128(constB36)) | (~v139(constB36))))))),
% 17.50/12.65 inference(monotonicity,[status(thm)],[33560])).
% 17.50/12.65 tff(33562,plain,
% 17.50/12.65 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB36) <=> (~((~v139(constB36)) | (~v128(constB36)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB36) <=> (~((~v128(constB36)) | (~v139(constB36))))))),
% 17.50/12.65 inference(transitivity,[status(thm)],[33561, 33559])).
% 17.50/12.65 tff(33563,plain,
% 17.50/12.65 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB36) <=> (~((~v139(constB36)) | (~v128(constB36)))))),
% 17.50/12.65 inference(quant_inst,[status(thm)],[])).
% 17.50/12.65 tff(33564,plain,
% 17.50/12.65 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB36) <=> (~((~v128(constB36)) | (~v139(constB36)))))),
% 17.50/12.65 inference(modus_ponens,[status(thm)],[33563, 33562])).
% 17.50/12.65 tff(33565,plain,
% 17.50/12.65 (v163(constB36) <=> (~((~v128(constB36)) | (~v139(constB36))))),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33564, 171])).
% 17.50/12.65 tff(33566,plain,
% 17.50/12.65 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB36) <=> v162(constB36))),
% 17.50/12.65 inference(quant_inst,[status(thm)],[])).
% 17.50/12.65 tff(33567,plain,
% 17.50/12.65 (v128(constB36) <=> v162(constB36)),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33566, 13])).
% 17.50/12.65 tff(33568,plain,
% 17.50/12.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB35, constB36)) | (v162(constB36) <=> v160(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB35, constB36)) | (v162(constB36) <=> v160(constB35)))),
% 17.50/12.65 inference(rewrite,[status(thm)],[])).
% 17.50/12.65 tff(33569,plain,
% 17.50/12.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB35, constB36)) | (v162(constB36) <=> v160(constB35)))),
% 17.50/12.65 inference(quant_inst,[status(thm)],[])).
% 17.50/12.65 tff(33570,plain,
% 17.50/12.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB35, constB36)) | (v162(constB36) <=> v160(constB35))),
% 17.50/12.65 inference(modus_ponens,[status(thm)],[33569, 33568])).
% 17.50/12.65 tff(33571,plain,
% 17.50/12.65 (v162(constB36) <=> v160(constB35)),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33570, 1105, 70])).
% 17.50/12.65 tff(33572,plain,
% 17.50/12.65 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB35) <=> (v163(constB35) | v164(constB35)))),
% 17.50/12.65 inference(quant_inst,[status(thm)],[])).
% 17.50/12.65 tff(33573,plain,
% 17.50/12.65 (v160(constB35) <=> (v163(constB35) | v164(constB35))),
% 17.50/12.65 inference(unit_resolution,[status(thm)],[33572, 84])).
% 17.50/12.65 tff(33574,plain,
% 17.50/12.65 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB35) <=> (~((~v128(constB35)) | (~v139(constB35)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB35) <=> (~((~v128(constB35)) | (~v139(constB35))))))),
% 17.50/12.65 inference(rewrite,[status(thm)],[])).
% 17.50/12.65 tff(33575,plain,
% 17.50/12.65 ((v163(constB35) <=> (~((~v139(constB35)) | (~v128(constB35))))) <=> (v163(constB35) <=> (~((~v128(constB35)) | (~v139(constB35)))))),
% 17.50/12.65 inference(rewrite,[status(thm)],[])).
% 17.50/12.65 tff(33576,plain,
% 17.50/12.65 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB35) <=> (~((~v139(constB35)) | (~v128(constB35)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB35) <=> (~((~v128(constB35)) | (~v139(constB35))))))),
% 17.50/12.65 inference(monotonicity,[status(thm)],[33575])).
% 17.50/12.65 tff(33577,plain,
% 17.50/12.65 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB35) <=> (~((~v139(constB35)) | (~v128(constB35)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB35) <=> (~((~v128(constB35)) | (~v139(constB35))))))),
% 17.50/12.65 inference(transitivity,[status(thm)],[33576, 33574])).
% 17.50/12.66 tff(33578,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB35) <=> (~((~v139(constB35)) | (~v128(constB35)))))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33579,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB35) <=> (~((~v128(constB35)) | (~v139(constB35)))))),
% 17.50/12.66 inference(modus_ponens,[status(thm)],[33578, 33577])).
% 17.50/12.66 tff(33580,plain,
% 17.50/12.66 (v163(constB35) <=> (~((~v128(constB35)) | (~v139(constB35))))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33579, 171])).
% 17.50/12.66 tff(33581,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB35)) <=> v140(constB35))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33582,plain,
% 17.50/12.66 ((~v139(constB35)) <=> v140(constB35)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33581, 203])).
% 17.50/12.66 tff(33583,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB35) <=> (v141(constB35) | v26(constB35)))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33584,plain,
% 17.50/12.66 (v140(constB35) <=> (v141(constB35) | v26(constB35))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33583, 212])).
% 17.50/12.66 tff(33585,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB35) <=> (~((~v39(constB35)) | (~v9(constB35)))))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33586,plain,
% 17.50/12.66 (v141(constB35) <=> (~((~v39(constB35)) | (~v9(constB35))))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33585, 130])).
% 17.50/12.66 tff(33587,plain,
% 17.50/12.66 (((~![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)))),
% 17.50/12.66 inference(rewrite,[status(thm)],[])).
% 17.50/12.66 tff(33588,plain,
% 17.50/12.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35)))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33589,plain,
% 17.50/12.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35))),
% 17.50/12.66 inference(modus_ponens,[status(thm)],[33588, 33587])).
% 17.50/12.66 tff(33590,plain,
% 17.50/12.66 (v13(constB36) <=> v9(constB35)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33589, 1105, 226])).
% 17.50/12.66 tff(33591,plain,
% 17.50/12.66 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB36) <=> v13(constB36))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33592,plain,
% 17.50/12.66 (v6(constB36) <=> v13(constB36)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33591, 240])).
% 17.50/12.66 tff(33593,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB36)) <=> v6(constB36))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33594,plain,
% 17.50/12.66 ((~v21(constB36)) <=> v6(constB36)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33593, 249])).
% 17.50/12.66 tff(33595,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB36) <=> (v20(constB36) | v21(constB36)))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33596,plain,
% 17.50/12.66 (v19(constB36) <=> (v20(constB36) | v21(constB36))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33595, 258])).
% 17.50/12.66 tff(33597,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB36) <=> (~((~v19(constB36)) | (~v22(constB36)))))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33598,plain,
% 17.50/12.66 (v18(constB36) <=> (~((~v19(constB36)) | (~v22(constB36))))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33597, 270])).
% 17.50/12.66 tff(33599,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB36)) <=> v18(constB36))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33600,plain,
% 17.50/12.66 ((~v4(constB36)) <=> v18(constB36)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33599, 279])).
% 17.50/12.66 tff(33601,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB36)),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33602,plain,
% 17.50/12.66 (v4(constB36)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33601, 288])).
% 17.50/12.66 tff(33603,plain,
% 17.50/12.66 ((~((~v4(constB36)) <=> v18(constB36))) | (~v4(constB36)) | (~v18(constB36))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33604,plain,
% 17.50/12.66 (~v18(constB36)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33603, 33602, 33600])).
% 17.50/12.66 tff(33605,plain,
% 17.50/12.66 ((~(v18(constB36) <=> (~((~v19(constB36)) | (~v22(constB36)))))) | v18(constB36) | ((~v19(constB36)) | (~v22(constB36)))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33606,plain,
% 17.50/12.66 ((~v19(constB36)) | (~v22(constB36))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33605, 33604, 33598])).
% 17.50/12.66 tff(33607,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB36) <=> (v1(constB36) | v6(constB36)))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33608,plain,
% 17.50/12.66 (v22(constB36) <=> (v1(constB36) | v6(constB36))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33607, 301])).
% 17.50/12.66 tff(33609,plain,
% 17.50/12.66 ((v1(constB36) | v6(constB36)) | (~v1(constB36))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33610,plain,
% 17.50/12.66 (v1(constB36) | v6(constB36)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33609, 5276])).
% 17.50/12.66 tff(33611,plain,
% 17.50/12.66 ((~(v22(constB36) <=> (v1(constB36) | v6(constB36)))) | v22(constB36) | (~(v1(constB36) | v6(constB36)))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33612,plain,
% 17.50/12.66 ((~(v22(constB36) <=> (v1(constB36) | v6(constB36)))) | v22(constB36)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33611, 33610])).
% 17.50/12.66 tff(33613,plain,
% 17.50/12.66 (v22(constB36)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33612, 33608])).
% 17.50/12.66 tff(33614,plain,
% 17.50/12.66 ((~((~v19(constB36)) | (~v22(constB36)))) | (~v19(constB36)) | (~v22(constB36))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33615,plain,
% 17.50/12.66 ((~((~v19(constB36)) | (~v22(constB36)))) | (~v19(constB36))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33614, 33613])).
% 17.50/12.66 tff(33616,plain,
% 17.50/12.66 (~v19(constB36)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33615, 33606])).
% 17.50/12.66 tff(33617,plain,
% 17.50/12.66 ((~(v19(constB36) <=> (v20(constB36) | v21(constB36)))) | v19(constB36) | (~(v20(constB36) | v21(constB36)))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33618,plain,
% 17.50/12.66 (~(v20(constB36) | v21(constB36))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33617, 33616, 33596])).
% 17.50/12.66 tff(33619,plain,
% 17.50/12.66 ((v20(constB36) | v21(constB36)) | (~v21(constB36))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33620,plain,
% 17.50/12.66 (~v21(constB36)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33619, 33618])).
% 17.50/12.66 tff(33621,plain,
% 17.50/12.66 ((~((~v21(constB36)) <=> v6(constB36))) | v21(constB36) | v6(constB36)),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33622,plain,
% 17.50/12.66 (v6(constB36)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33621, 33620, 33594])).
% 17.50/12.66 tff(33623,plain,
% 17.50/12.66 ((~(v6(constB36) <=> v13(constB36))) | (~v6(constB36)) | v13(constB36)),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33624,plain,
% 17.50/12.66 (v13(constB36)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33623, 33622, 33592])).
% 17.50/12.66 tff(33625,plain,
% 17.50/12.66 ((~(v13(constB36) <=> v9(constB35))) | (~v13(constB36)) | v9(constB35)),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33626,plain,
% 17.50/12.66 (v9(constB35)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33625, 33624, 33590])).
% 17.50/12.66 tff(33627,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB35)) <=> v1(constB35))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33628,plain,
% 17.50/12.66 ((~v39(constB35)) <=> v1(constB35)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33627, 139])).
% 17.50/12.66 tff(33629,plain,
% 17.50/12.66 ((~((~v39(constB35)) <=> v1(constB35))) | v39(constB35) | v1(constB35)),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33630,plain,
% 17.50/12.66 ((~((~v39(constB35)) <=> v1(constB35))) | v39(constB35)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33629, 1144])).
% 17.50/12.66 tff(33631,plain,
% 17.50/12.66 (v39(constB35)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33630, 33628])).
% 17.50/12.66 tff(33632,plain,
% 17.50/12.66 ((~((~v39(constB35)) | (~v9(constB35)))) | (~v39(constB35)) | (~v9(constB35))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33633,plain,
% 17.50/12.66 ((~((~v39(constB35)) | (~v9(constB35)))) | (~v9(constB35))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33632, 33631])).
% 17.50/12.66 tff(33634,plain,
% 17.50/12.66 (~((~v39(constB35)) | (~v9(constB35)))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33633, 33626])).
% 17.50/12.66 tff(33635,plain,
% 17.50/12.66 ((~(v141(constB35) <=> (~((~v39(constB35)) | (~v9(constB35)))))) | v141(constB35) | ((~v39(constB35)) | (~v9(constB35)))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33636,plain,
% 17.50/12.66 (v141(constB35)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33635, 33634, 33586])).
% 17.50/12.66 tff(33637,plain,
% 17.50/12.66 ((v141(constB35) | v26(constB35)) | (~v141(constB35))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33638,plain,
% 17.50/12.66 (v141(constB35) | v26(constB35)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33637, 33636])).
% 17.50/12.66 tff(33639,plain,
% 17.50/12.66 ((~(v140(constB35) <=> (v141(constB35) | v26(constB35)))) | v140(constB35) | (~(v141(constB35) | v26(constB35)))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33640,plain,
% 17.50/12.66 (v140(constB35)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33639, 33638, 33584])).
% 17.50/12.66 tff(33641,plain,
% 17.50/12.66 ((~((~v139(constB35)) <=> v140(constB35))) | (~v139(constB35)) | (~v140(constB35))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33642,plain,
% 17.50/12.66 (~v139(constB35)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33641, 33640, 33582])).
% 17.50/12.66 tff(33643,plain,
% 17.50/12.66 (((~v128(constB35)) | (~v139(constB35))) | v139(constB35)),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33644,plain,
% 17.50/12.66 ((~v128(constB35)) | (~v139(constB35))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33643, 33642])).
% 17.50/12.66 tff(33645,plain,
% 17.50/12.66 ((~(v163(constB35) <=> (~((~v128(constB35)) | (~v139(constB35)))))) | (~v163(constB35)) | (~((~v128(constB35)) | (~v139(constB35))))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33646,plain,
% 17.50/12.66 (~v163(constB35)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33645, 33644, 33580])).
% 17.50/12.66 tff(33647,plain,
% 17.50/12.66 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB35) <=> (~((~v130(constB35)) | (~v155(constB35)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB35) <=> (~((~v130(constB35)) | (~v155(constB35))))))),
% 17.50/12.66 inference(rewrite,[status(thm)],[])).
% 17.50/12.66 tff(33648,plain,
% 17.50/12.66 ((v164(constB35) <=> (~((~v155(constB35)) | (~v130(constB35))))) <=> (v164(constB35) <=> (~((~v130(constB35)) | (~v155(constB35)))))),
% 17.50/12.66 inference(rewrite,[status(thm)],[])).
% 17.50/12.66 tff(33649,plain,
% 17.50/12.66 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB35) <=> (~((~v155(constB35)) | (~v130(constB35)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB35) <=> (~((~v130(constB35)) | (~v155(constB35))))))),
% 17.50/12.66 inference(monotonicity,[status(thm)],[33648])).
% 17.50/12.66 tff(33650,plain,
% 17.50/12.66 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB35) <=> (~((~v155(constB35)) | (~v130(constB35)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB35) <=> (~((~v130(constB35)) | (~v155(constB35))))))),
% 17.50/12.66 inference(transitivity,[status(thm)],[33649, 33647])).
% 17.50/12.66 tff(33651,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB35) <=> (~((~v155(constB35)) | (~v130(constB35)))))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33652,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB35) <=> (~((~v130(constB35)) | (~v155(constB35)))))),
% 17.50/12.66 inference(modus_ponens,[status(thm)],[33651, 33650])).
% 17.50/12.66 tff(33653,plain,
% 17.50/12.66 (v164(constB35) <=> (~((~v130(constB35)) | (~v155(constB35))))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33652, 96])).
% 17.50/12.66 tff(33654,plain,
% 17.50/12.66 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB35) <=> v152(constB35))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33655,plain,
% 17.50/12.66 (v130(constB35) <=> v152(constB35)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33654, 361])).
% 17.50/12.66 tff(33656,plain,
% 17.50/12.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB34, constB35)) | (v152(constB35) <=> v150(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB34, constB35)) | (v152(constB35) <=> v150(constB34)))),
% 17.50/12.66 inference(rewrite,[status(thm)],[])).
% 17.50/12.66 tff(33657,plain,
% 17.50/12.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB34, constB35)) | (v152(constB35) <=> v150(constB34)))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33658,plain,
% 17.50/12.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB34, constB35)) | (v152(constB35) <=> v150(constB34))),
% 17.50/12.66 inference(modus_ponens,[status(thm)],[33657, 33656])).
% 17.50/12.66 tff(33659,plain,
% 17.50/12.66 (v152(constB35) <=> v150(constB34)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33658, 1130, 373])).
% 17.50/12.66 tff(33660,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB34) <=> (v153(constB34) | v154(constB34)))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33661,plain,
% 17.50/12.66 (v150(constB34) <=> (v153(constB34) | v154(constB34))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33660, 387])).
% 17.50/12.66 tff(33662,plain,
% 17.50/12.66 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB34) <=> (~((~v132(constB34)) | (~v155(constB34)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB34) <=> (~((~v132(constB34)) | (~v155(constB34))))))),
% 17.50/12.66 inference(rewrite,[status(thm)],[])).
% 17.50/12.66 tff(33663,plain,
% 17.50/12.66 ((v154(constB34) <=> (~((~v155(constB34)) | (~v132(constB34))))) <=> (v154(constB34) <=> (~((~v132(constB34)) | (~v155(constB34)))))),
% 17.50/12.66 inference(rewrite,[status(thm)],[])).
% 17.50/12.66 tff(33664,plain,
% 17.50/12.66 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB34) <=> (~((~v155(constB34)) | (~v132(constB34)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB34) <=> (~((~v132(constB34)) | (~v155(constB34))))))),
% 17.50/12.66 inference(monotonicity,[status(thm)],[33663])).
% 17.50/12.66 tff(33665,plain,
% 17.50/12.66 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB34) <=> (~((~v155(constB34)) | (~v132(constB34)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB34) <=> (~((~v132(constB34)) | (~v155(constB34))))))),
% 17.50/12.66 inference(transitivity,[status(thm)],[33664, 33662])).
% 17.50/12.66 tff(33666,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB34) <=> (~((~v155(constB34)) | (~v132(constB34)))))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33667,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB34) <=> (~((~v132(constB34)) | (~v155(constB34)))))),
% 17.50/12.66 inference(modus_ponens,[status(thm)],[33666, 33665])).
% 17.50/12.66 tff(33668,plain,
% 17.50/12.66 (v154(constB34) <=> (~((~v132(constB34)) | (~v155(constB34))))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33667, 399])).
% 17.50/12.66 tff(33669,plain,
% 17.50/12.66 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB34) <=> (~((~v141(constB34)) | (~v143(constB34)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB34) <=> (~((~v141(constB34)) | (~v143(constB34))))))),
% 17.50/12.66 inference(rewrite,[status(thm)],[])).
% 17.50/12.66 tff(33670,plain,
% 17.50/12.66 ((v155(constB34) <=> (~((~v143(constB34)) | (~v141(constB34))))) <=> (v155(constB34) <=> (~((~v141(constB34)) | (~v143(constB34)))))),
% 17.50/12.66 inference(rewrite,[status(thm)],[])).
% 17.50/12.66 tff(33671,plain,
% 17.50/12.66 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB34) <=> (~((~v143(constB34)) | (~v141(constB34)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB34) <=> (~((~v141(constB34)) | (~v143(constB34))))))),
% 17.50/12.66 inference(monotonicity,[status(thm)],[33670])).
% 17.50/12.66 tff(33672,plain,
% 17.50/12.66 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB34) <=> (~((~v143(constB34)) | (~v141(constB34)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB34) <=> (~((~v141(constB34)) | (~v143(constB34))))))),
% 17.50/12.66 inference(transitivity,[status(thm)],[33671, 33669])).
% 17.50/12.66 tff(33673,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB34) <=> (~((~v143(constB34)) | (~v141(constB34)))))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33674,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB34) <=> (~((~v141(constB34)) | (~v143(constB34)))))),
% 17.50/12.66 inference(modus_ponens,[status(thm)],[33673, 33672])).
% 17.50/12.66 tff(33675,plain,
% 17.50/12.66 (v155(constB34) <=> (~((~v141(constB34)) | (~v143(constB34))))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33674, 113])).
% 17.50/12.66 tff(33676,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB34) <=> (~((~v39(constB34)) | (~v9(constB34)))))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33677,plain,
% 17.50/12.66 (v141(constB34) <=> (~((~v39(constB34)) | (~v9(constB34))))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33676, 130])).
% 17.50/12.66 tff(33678,plain,
% 17.50/12.66 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB34)) <=> v1(constB34))),
% 17.50/12.66 inference(quant_inst,[status(thm)],[])).
% 17.50/12.66 tff(33679,plain,
% 17.50/12.66 ((~v39(constB34)) <=> v1(constB34)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33678, 139])).
% 17.50/12.66 tff(33680,plain,
% 17.50/12.66 ((~((~v39(constB34)) <=> v1(constB34))) | (~v39(constB34)) | (~v1(constB34))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33681,plain,
% 17.50/12.66 ((~((~v39(constB34)) <=> v1(constB34))) | (~v39(constB34))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33680, 5082])).
% 17.50/12.66 tff(33682,plain,
% 17.50/12.66 (~v39(constB34)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33681, 33679])).
% 17.50/12.66 tff(33683,plain,
% 17.50/12.66 (((~v39(constB34)) | (~v9(constB34))) | v39(constB34)),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33684,plain,
% 17.50/12.66 ((~v39(constB34)) | (~v9(constB34))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33683, 33682])).
% 17.50/12.66 tff(33685,plain,
% 17.50/12.66 ((~(v141(constB34) <=> (~((~v39(constB34)) | (~v9(constB34)))))) | (~v141(constB34)) | (~((~v39(constB34)) | (~v9(constB34))))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33686,plain,
% 17.50/12.66 ((~(v141(constB34) <=> (~((~v39(constB34)) | (~v9(constB34)))))) | (~v141(constB34))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33685, 33684])).
% 17.50/12.66 tff(33687,plain,
% 17.50/12.66 (~v141(constB34)),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33686, 33677])).
% 17.50/12.66 tff(33688,plain,
% 17.50/12.66 (((~v141(constB34)) | (~v143(constB34))) | v141(constB34)),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33689,plain,
% 17.50/12.66 ((~v141(constB34)) | (~v143(constB34))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33688, 33687])).
% 17.50/12.66 tff(33690,plain,
% 17.50/12.66 ((~(v155(constB34) <=> (~((~v141(constB34)) | (~v143(constB34)))))) | (~v155(constB34)) | (~((~v141(constB34)) | (~v143(constB34))))),
% 17.50/12.66 inference(tautology,[status(thm)],[])).
% 17.50/12.66 tff(33691,plain,
% 17.50/12.66 ((~(v155(constB34) <=> (~((~v141(constB34)) | (~v143(constB34)))))) | (~v155(constB34))),
% 17.50/12.66 inference(unit_resolution,[status(thm)],[33690, 33689])).
% 17.50/12.67 tff(33692,plain,
% 17.50/12.67 (~v155(constB34)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33691, 33675])).
% 17.50/12.67 tff(33693,plain,
% 17.50/12.67 (((~v132(constB34)) | (~v155(constB34))) | v155(constB34)),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33694,plain,
% 17.50/12.67 ((~v132(constB34)) | (~v155(constB34))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33693, 33692])).
% 17.50/12.67 tff(33695,plain,
% 17.50/12.67 ((~(v154(constB34) <=> (~((~v132(constB34)) | (~v155(constB34)))))) | (~v154(constB34)) | (~((~v132(constB34)) | (~v155(constB34))))),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33696,plain,
% 17.50/12.67 (~v154(constB34)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33695, 33694, 33668])).
% 17.50/12.67 tff(33697,plain,
% 17.50/12.67 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB34) <=> (~((~v130(constB34)) | (~v139(constB34)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB34) <=> (~((~v130(constB34)) | (~v139(constB34))))))),
% 17.50/12.67 inference(rewrite,[status(thm)],[])).
% 17.50/12.67 tff(33698,plain,
% 17.50/12.67 ((v153(constB34) <=> (~((~v139(constB34)) | (~v130(constB34))))) <=> (v153(constB34) <=> (~((~v130(constB34)) | (~v139(constB34)))))),
% 17.50/12.67 inference(rewrite,[status(thm)],[])).
% 17.50/12.67 tff(33699,plain,
% 17.50/12.67 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB34) <=> (~((~v139(constB34)) | (~v130(constB34)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB34) <=> (~((~v130(constB34)) | (~v139(constB34))))))),
% 17.50/12.67 inference(monotonicity,[status(thm)],[33698])).
% 17.50/12.67 tff(33700,plain,
% 17.50/12.67 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB34) <=> (~((~v139(constB34)) | (~v130(constB34)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB34) <=> (~((~v130(constB34)) | (~v139(constB34))))))),
% 17.50/12.67 inference(transitivity,[status(thm)],[33699, 33697])).
% 17.50/12.67 tff(33701,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB34) <=> (~((~v139(constB34)) | (~v130(constB34)))))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33702,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB34) <=> (~((~v130(constB34)) | (~v139(constB34)))))),
% 17.50/12.67 inference(modus_ponens,[status(thm)],[33701, 33700])).
% 17.50/12.67 tff(33703,plain,
% 17.50/12.67 (v153(constB34) <=> (~((~v130(constB34)) | (~v139(constB34))))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33702, 447])).
% 17.50/12.67 tff(33704,plain,
% 17.50/12.67 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB34) <=> v152(constB34))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33705,plain,
% 17.50/12.67 (v130(constB34) <=> v152(constB34)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33704, 361])).
% 17.50/12.67 tff(33706,plain,
% 17.50/12.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB33, constB34)) | (v152(constB34) <=> v150(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB33, constB34)) | (v152(constB34) <=> v150(constB33)))),
% 17.50/12.67 inference(rewrite,[status(thm)],[])).
% 17.50/12.67 tff(33707,plain,
% 17.50/12.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB33, constB34)) | (v152(constB34) <=> v150(constB33)))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33708,plain,
% 17.50/12.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB33, constB34)) | (v152(constB34) <=> v150(constB33))),
% 17.50/12.67 inference(modus_ponens,[status(thm)],[33707, 33706])).
% 17.50/12.67 tff(33709,plain,
% 17.50/12.67 (v152(constB34) <=> v150(constB33)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33708, 1166, 373])).
% 17.50/12.67 tff(33710,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB33) <=> (v153(constB33) | v154(constB33)))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33711,plain,
% 17.50/12.67 (v150(constB33) <=> (v153(constB33) | v154(constB33))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33710, 387])).
% 17.50/12.67 tff(33712,plain,
% 17.50/12.67 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB33) <=> (~((~v130(constB33)) | (~v139(constB33)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB33) <=> (~((~v130(constB33)) | (~v139(constB33))))))),
% 17.50/12.67 inference(rewrite,[status(thm)],[])).
% 17.50/12.67 tff(33713,plain,
% 17.50/12.67 ((v153(constB33) <=> (~((~v139(constB33)) | (~v130(constB33))))) <=> (v153(constB33) <=> (~((~v130(constB33)) | (~v139(constB33)))))),
% 17.50/12.67 inference(rewrite,[status(thm)],[])).
% 17.50/12.67 tff(33714,plain,
% 17.50/12.67 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB33) <=> (~((~v139(constB33)) | (~v130(constB33)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB33) <=> (~((~v130(constB33)) | (~v139(constB33))))))),
% 17.50/12.67 inference(monotonicity,[status(thm)],[33713])).
% 17.50/12.67 tff(33715,plain,
% 17.50/12.67 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB33) <=> (~((~v139(constB33)) | (~v130(constB33)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB33) <=> (~((~v130(constB33)) | (~v139(constB33))))))),
% 17.50/12.67 inference(transitivity,[status(thm)],[33714, 33712])).
% 17.50/12.67 tff(33716,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB33) <=> (~((~v139(constB33)) | (~v130(constB33)))))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33717,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB33) <=> (~((~v130(constB33)) | (~v139(constB33)))))),
% 17.50/12.67 inference(modus_ponens,[status(thm)],[33716, 33715])).
% 17.50/12.67 tff(33718,plain,
% 17.50/12.67 (v153(constB33) <=> (~((~v130(constB33)) | (~v139(constB33))))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33717, 447])).
% 17.50/12.67 tff(33719,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB33)) <=> v140(constB33))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33720,plain,
% 17.50/12.67 ((~v139(constB33)) <=> v140(constB33)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33719, 203])).
% 17.50/12.67 tff(33721,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB33) <=> (v141(constB33) | v26(constB33)))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33722,plain,
% 17.50/12.67 (v140(constB33) <=> (v141(constB33) | v26(constB33))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33721, 212])).
% 17.50/12.67 tff(33723,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB33) <=> (~((~v39(constB33)) | (~v9(constB33)))))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33724,plain,
% 17.50/12.67 (v141(constB33) <=> (~((~v39(constB33)) | (~v9(constB33))))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33723, 130])).
% 17.50/12.67 tff(33725,plain,
% 17.50/12.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB33, constB34)) | (v13(constB34) <=> v9(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB33, constB34)) | (v13(constB34) <=> v9(constB33)))),
% 17.50/12.67 inference(rewrite,[status(thm)],[])).
% 17.50/12.67 tff(33726,plain,
% 17.50/12.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB33, constB34)) | (v13(constB34) <=> v9(constB33)))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33727,plain,
% 17.50/12.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB33, constB34)) | (v13(constB34) <=> v9(constB33))),
% 17.50/12.67 inference(modus_ponens,[status(thm)],[33726, 33725])).
% 17.50/12.67 tff(33728,plain,
% 17.50/12.67 (v13(constB34) <=> v9(constB33)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33727, 1166, 226])).
% 17.50/12.67 tff(33729,plain,
% 17.50/12.67 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB34) <=> v13(constB34))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33730,plain,
% 17.50/12.67 (v6(constB34) <=> v13(constB34)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33729, 240])).
% 17.50/12.67 tff(33731,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB34)) <=> v6(constB34))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33732,plain,
% 17.50/12.67 ((~v21(constB34)) <=> v6(constB34)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33731, 249])).
% 17.50/12.67 tff(33733,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB34) <=> (v20(constB34) | v21(constB34)))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33734,plain,
% 17.50/12.67 (v19(constB34) <=> (v20(constB34) | v21(constB34))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33733, 258])).
% 17.50/12.67 tff(33735,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB34) <=> (~((~v19(constB34)) | (~v22(constB34)))))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33736,plain,
% 17.50/12.67 (v18(constB34) <=> (~((~v19(constB34)) | (~v22(constB34))))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33735, 270])).
% 17.50/12.67 tff(33737,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB34)) <=> v18(constB34))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33738,plain,
% 17.50/12.67 ((~v4(constB34)) <=> v18(constB34)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33737, 279])).
% 17.50/12.67 tff(33739,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB34)),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33740,plain,
% 17.50/12.67 (v4(constB34)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33739, 288])).
% 17.50/12.67 tff(33741,plain,
% 17.50/12.67 ((~((~v4(constB34)) <=> v18(constB34))) | (~v4(constB34)) | (~v18(constB34))),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33742,plain,
% 17.50/12.67 (~v18(constB34)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33741, 33740, 33738])).
% 17.50/12.67 tff(33743,plain,
% 17.50/12.67 ((~(v18(constB34) <=> (~((~v19(constB34)) | (~v22(constB34)))))) | v18(constB34) | ((~v19(constB34)) | (~v22(constB34)))),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33744,plain,
% 17.50/12.67 ((~v19(constB34)) | (~v22(constB34))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33743, 33742, 33736])).
% 17.50/12.67 tff(33745,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB34) <=> (v1(constB34) | v6(constB34)))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33746,plain,
% 17.50/12.67 (v22(constB34) <=> (v1(constB34) | v6(constB34))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33745, 301])).
% 17.50/12.67 tff(33747,plain,
% 17.50/12.67 ((v1(constB34) | v6(constB34)) | (~v1(constB34))),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33748,plain,
% 17.50/12.67 (v1(constB34) | v6(constB34)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33747, 5082])).
% 17.50/12.67 tff(33749,plain,
% 17.50/12.67 ((~(v22(constB34) <=> (v1(constB34) | v6(constB34)))) | v22(constB34) | (~(v1(constB34) | v6(constB34)))),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33750,plain,
% 17.50/12.67 ((~(v22(constB34) <=> (v1(constB34) | v6(constB34)))) | v22(constB34)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33749, 33748])).
% 17.50/12.67 tff(33751,plain,
% 17.50/12.67 (v22(constB34)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33750, 33746])).
% 17.50/12.67 tff(33752,plain,
% 17.50/12.67 ((~((~v19(constB34)) | (~v22(constB34)))) | (~v19(constB34)) | (~v22(constB34))),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33753,plain,
% 17.50/12.67 ((~((~v19(constB34)) | (~v22(constB34)))) | (~v19(constB34))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33752, 33751])).
% 17.50/12.67 tff(33754,plain,
% 17.50/12.67 (~v19(constB34)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33753, 33744])).
% 17.50/12.67 tff(33755,plain,
% 17.50/12.67 ((~(v19(constB34) <=> (v20(constB34) | v21(constB34)))) | v19(constB34) | (~(v20(constB34) | v21(constB34)))),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33756,plain,
% 17.50/12.67 (~(v20(constB34) | v21(constB34))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33755, 33754, 33734])).
% 17.50/12.67 tff(33757,plain,
% 17.50/12.67 ((v20(constB34) | v21(constB34)) | (~v21(constB34))),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33758,plain,
% 17.50/12.67 (~v21(constB34)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33757, 33756])).
% 17.50/12.67 tff(33759,plain,
% 17.50/12.67 ((~((~v21(constB34)) <=> v6(constB34))) | v21(constB34) | v6(constB34)),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33760,plain,
% 17.50/12.67 (v6(constB34)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33759, 33758, 33732])).
% 17.50/12.67 tff(33761,plain,
% 17.50/12.67 ((~(v6(constB34) <=> v13(constB34))) | (~v6(constB34)) | v13(constB34)),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33762,plain,
% 17.50/12.67 (v13(constB34)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33761, 33760, 33730])).
% 17.50/12.67 tff(33763,plain,
% 17.50/12.67 ((~(v13(constB34) <=> v9(constB33))) | (~v13(constB34)) | v9(constB33)),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33764,plain,
% 17.50/12.67 (v9(constB33)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33763, 33762, 33728])).
% 17.50/12.67 tff(33765,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB33)) <=> v1(constB33))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33766,plain,
% 17.50/12.67 ((~v39(constB33)) <=> v1(constB33)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33765, 139])).
% 17.50/12.67 tff(33767,plain,
% 17.50/12.67 ((~((~v39(constB33)) <=> v1(constB33))) | v39(constB33) | v1(constB33)),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33768,plain,
% 17.50/12.67 ((~((~v39(constB33)) <=> v1(constB33))) | v39(constB33)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33767, 1223])).
% 17.50/12.67 tff(33769,plain,
% 17.50/12.67 (v39(constB33)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33768, 33766])).
% 17.50/12.67 tff(33770,plain,
% 17.50/12.67 ((~((~v39(constB33)) | (~v9(constB33)))) | (~v39(constB33)) | (~v9(constB33))),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33771,plain,
% 17.50/12.67 ((~((~v39(constB33)) | (~v9(constB33)))) | (~v9(constB33))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33770, 33769])).
% 17.50/12.67 tff(33772,plain,
% 17.50/12.67 (~((~v39(constB33)) | (~v9(constB33)))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33771, 33764])).
% 17.50/12.67 tff(33773,plain,
% 17.50/12.67 ((~(v141(constB33) <=> (~((~v39(constB33)) | (~v9(constB33)))))) | v141(constB33) | ((~v39(constB33)) | (~v9(constB33)))),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33774,plain,
% 17.50/12.67 (v141(constB33)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33773, 33772, 33724])).
% 17.50/12.67 tff(33775,plain,
% 17.50/12.67 ((v141(constB33) | v26(constB33)) | (~v141(constB33))),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33776,plain,
% 17.50/12.67 (v141(constB33) | v26(constB33)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33775, 33774])).
% 17.50/12.67 tff(33777,plain,
% 17.50/12.67 ((~(v140(constB33) <=> (v141(constB33) | v26(constB33)))) | v140(constB33) | (~(v141(constB33) | v26(constB33)))),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33778,plain,
% 17.50/12.67 (v140(constB33)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33777, 33776, 33722])).
% 17.50/12.67 tff(33779,plain,
% 17.50/12.67 ((~((~v139(constB33)) <=> v140(constB33))) | (~v139(constB33)) | (~v140(constB33))),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33780,plain,
% 17.50/12.67 (~v139(constB33)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33779, 33778, 33720])).
% 17.50/12.67 tff(33781,plain,
% 17.50/12.67 (((~v130(constB33)) | (~v139(constB33))) | v139(constB33)),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33782,plain,
% 17.50/12.67 ((~v130(constB33)) | (~v139(constB33))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33781, 33780])).
% 17.50/12.67 tff(33783,plain,
% 17.50/12.67 ((~(v153(constB33) <=> (~((~v130(constB33)) | (~v139(constB33)))))) | (~v153(constB33)) | (~((~v130(constB33)) | (~v139(constB33))))),
% 17.50/12.67 inference(tautology,[status(thm)],[])).
% 17.50/12.67 tff(33784,plain,
% 17.50/12.67 (~v153(constB33)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33783, 33782, 33718])).
% 17.50/12.67 tff(33785,plain,
% 17.50/12.67 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB33) <=> (~((~v132(constB33)) | (~v155(constB33)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB33) <=> (~((~v132(constB33)) | (~v155(constB33))))))),
% 17.50/12.67 inference(rewrite,[status(thm)],[])).
% 17.50/12.67 tff(33786,plain,
% 17.50/12.67 ((v154(constB33) <=> (~((~v155(constB33)) | (~v132(constB33))))) <=> (v154(constB33) <=> (~((~v132(constB33)) | (~v155(constB33)))))),
% 17.50/12.67 inference(rewrite,[status(thm)],[])).
% 17.50/12.67 tff(33787,plain,
% 17.50/12.67 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB33) <=> (~((~v155(constB33)) | (~v132(constB33)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB33) <=> (~((~v132(constB33)) | (~v155(constB33))))))),
% 17.50/12.67 inference(monotonicity,[status(thm)],[33786])).
% 17.50/12.67 tff(33788,plain,
% 17.50/12.67 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB33) <=> (~((~v155(constB33)) | (~v132(constB33)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB33) <=> (~((~v132(constB33)) | (~v155(constB33))))))),
% 17.50/12.67 inference(transitivity,[status(thm)],[33787, 33785])).
% 17.50/12.67 tff(33789,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB33) <=> (~((~v155(constB33)) | (~v132(constB33)))))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33790,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB33) <=> (~((~v132(constB33)) | (~v155(constB33)))))),
% 17.50/12.67 inference(modus_ponens,[status(thm)],[33789, 33788])).
% 17.50/12.67 tff(33791,plain,
% 17.50/12.67 (v154(constB33) <=> (~((~v132(constB33)) | (~v155(constB33))))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33790, 399])).
% 17.50/12.67 tff(33792,plain,
% 17.50/12.67 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB33) <=> v137(constB33))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33793,plain,
% 17.50/12.67 (v132(constB33) <=> v137(constB33)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33792, 558])).
% 17.50/12.67 tff(33794,plain,
% 17.50/12.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB32, constB33)) | (v137(constB33) <=> v135(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB32, constB33)) | (v137(constB33) <=> v135(constB32)))),
% 17.50/12.67 inference(rewrite,[status(thm)],[])).
% 17.50/12.67 tff(33795,plain,
% 17.50/12.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB32, constB33)) | (v137(constB33) <=> v135(constB32)))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33796,plain,
% 17.50/12.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB32, constB33)) | (v137(constB33) <=> v135(constB32))),
% 17.50/12.67 inference(modus_ponens,[status(thm)],[33795, 33794])).
% 17.50/12.67 tff(33797,plain,
% 17.50/12.67 (v137(constB33) <=> v135(constB32)),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33796, 1209, 570])).
% 17.50/12.67 tff(33798,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB32) <=> (v138(constB32) | v142(constB32)))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33799,plain,
% 17.50/12.67 (v135(constB32) <=> (v138(constB32) | v142(constB32))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33798, 584])).
% 17.50/12.67 tff(33800,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB32) <=> (~((~v143(constB32)) | (~v144(constB32)))))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.67 tff(33801,plain,
% 17.50/12.67 (v142(constB32) <=> (~((~v143(constB32)) | (~v144(constB32))))),
% 17.50/12.67 inference(unit_resolution,[status(thm)],[33800, 596])).
% 17.50/12.67 tff(33802,plain,
% 17.50/12.67 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB32) <=> (~((~v141(constB32)) | (~v145(constB32)))))),
% 17.50/12.67 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33803,plain,
% 17.50/12.68 (v144(constB32) <=> (~((~v141(constB32)) | (~v145(constB32))))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33802, 608])).
% 17.50/12.68 tff(33804,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33805,plain,
% 17.50/12.68 (v141(constB32) <=> (~((~v39(constB32)) | (~v9(constB32))))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33804, 130])).
% 17.50/12.68 tff(33806,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB32)) <=> v1(constB32))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33807,plain,
% 17.50/12.68 ((~v39(constB32)) <=> v1(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33806, 139])).
% 17.50/12.68 tff(33808,plain,
% 17.50/12.68 ((~((~v39(constB32)) <=> v1(constB32))) | (~v39(constB32)) | (~v1(constB32))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33809,plain,
% 17.50/12.68 ((~((~v39(constB32)) <=> v1(constB32))) | (~v39(constB32))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33808, 4936])).
% 17.50/12.68 tff(33810,plain,
% 17.50/12.68 (~v39(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33809, 33807])).
% 17.50/12.68 tff(33811,plain,
% 17.50/12.68 (((~v39(constB32)) | (~v9(constB32))) | v39(constB32)),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33812,plain,
% 17.50/12.68 ((~v39(constB32)) | (~v9(constB32))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33811, 33810])).
% 17.50/12.68 tff(33813,plain,
% 17.50/12.68 ((~(v141(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))) | (~v141(constB32)) | (~((~v39(constB32)) | (~v9(constB32))))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33814,plain,
% 17.50/12.68 ((~(v141(constB32) <=> (~((~v39(constB32)) | (~v9(constB32)))))) | (~v141(constB32))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33813, 33812])).
% 17.50/12.68 tff(33815,plain,
% 17.50/12.68 (~v141(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33814, 33805])).
% 17.50/12.68 tff(33816,plain,
% 17.50/12.68 (((~v141(constB32)) | (~v145(constB32))) | v141(constB32)),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33817,plain,
% 17.50/12.68 ((~v141(constB32)) | (~v145(constB32))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33816, 33815])).
% 17.50/12.68 tff(33818,plain,
% 17.50/12.68 ((~(v144(constB32) <=> (~((~v141(constB32)) | (~v145(constB32)))))) | (~v144(constB32)) | (~((~v141(constB32)) | (~v145(constB32))))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33819,plain,
% 17.50/12.68 ((~(v144(constB32) <=> (~((~v141(constB32)) | (~v145(constB32)))))) | (~v144(constB32))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33818, 33817])).
% 17.50/12.68 tff(33820,plain,
% 17.50/12.68 (~v144(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33819, 33803])).
% 17.50/12.68 tff(33821,plain,
% 17.50/12.68 (((~v143(constB32)) | (~v144(constB32))) | v144(constB32)),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33822,plain,
% 17.50/12.68 ((~v143(constB32)) | (~v144(constB32))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33821, 33820])).
% 17.50/12.68 tff(33823,plain,
% 17.50/12.68 ((~(v142(constB32) <=> (~((~v143(constB32)) | (~v144(constB32)))))) | (~v142(constB32)) | (~((~v143(constB32)) | (~v144(constB32))))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33824,plain,
% 17.50/12.68 (~v142(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33823, 33822, 33801])).
% 17.50/12.68 tff(33825,plain,
% 17.50/12.68 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB32) <=> (~((~v132(constB32)) | (~v139(constB32)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB32) <=> (~((~v132(constB32)) | (~v139(constB32))))))),
% 17.50/12.68 inference(rewrite,[status(thm)],[])).
% 17.50/12.68 tff(33826,plain,
% 17.50/12.68 ((v138(constB32) <=> (~((~v139(constB32)) | (~v132(constB32))))) <=> (v138(constB32) <=> (~((~v132(constB32)) | (~v139(constB32)))))),
% 17.50/12.68 inference(rewrite,[status(thm)],[])).
% 17.50/12.68 tff(33827,plain,
% 17.50/12.68 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB32) <=> (~((~v139(constB32)) | (~v132(constB32)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB32) <=> (~((~v132(constB32)) | (~v139(constB32))))))),
% 17.50/12.68 inference(monotonicity,[status(thm)],[33826])).
% 17.50/12.68 tff(33828,plain,
% 17.50/12.68 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB32) <=> (~((~v139(constB32)) | (~v132(constB32)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB32) <=> (~((~v132(constB32)) | (~v139(constB32))))))),
% 17.50/12.68 inference(transitivity,[status(thm)],[33827, 33825])).
% 17.50/12.68 tff(33829,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB32) <=> (~((~v139(constB32)) | (~v132(constB32)))))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33830,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB32) <=> (~((~v132(constB32)) | (~v139(constB32)))))),
% 17.50/12.68 inference(modus_ponens,[status(thm)],[33829, 33828])).
% 17.50/12.68 tff(33831,plain,
% 17.50/12.68 (v138(constB32) <=> (~((~v132(constB32)) | (~v139(constB32))))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33830, 644])).
% 17.50/12.68 tff(33832,plain,
% 17.50/12.68 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB32) <=> v137(constB32))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33833,plain,
% 17.50/12.68 (v132(constB32) <=> v137(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33832, 558])).
% 17.50/12.68 tff(33834,plain,
% 17.50/12.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB31, constB32)) | (v137(constB32) <=> v135(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB31, constB32)) | (v137(constB32) <=> v135(constB31)))),
% 17.50/12.68 inference(rewrite,[status(thm)],[])).
% 17.50/12.68 tff(33835,plain,
% 17.50/12.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB31, constB32)) | (v137(constB32) <=> v135(constB31)))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33836,plain,
% 17.50/12.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB31, constB32)) | (v137(constB32) <=> v135(constB31))),
% 17.50/12.68 inference(modus_ponens,[status(thm)],[33835, 33834])).
% 17.50/12.68 tff(33837,plain,
% 17.50/12.68 (v137(constB32) <=> v135(constB31)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33836, 1245, 570])).
% 17.50/12.68 tff(33838,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB31) <=> (v138(constB31) | v142(constB31)))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33839,plain,
% 17.50/12.68 (v135(constB31) <=> (v138(constB31) | v142(constB31))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33838, 584])).
% 17.50/12.68 tff(33840,plain,
% 17.50/12.68 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB31) <=> (~((~v132(constB31)) | (~v139(constB31)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB31) <=> (~((~v132(constB31)) | (~v139(constB31))))))),
% 17.50/12.68 inference(rewrite,[status(thm)],[])).
% 17.50/12.68 tff(33841,plain,
% 17.50/12.68 ((v138(constB31) <=> (~((~v139(constB31)) | (~v132(constB31))))) <=> (v138(constB31) <=> (~((~v132(constB31)) | (~v139(constB31)))))),
% 17.50/12.68 inference(rewrite,[status(thm)],[])).
% 17.50/12.68 tff(33842,plain,
% 17.50/12.68 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB31) <=> (~((~v139(constB31)) | (~v132(constB31)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB31) <=> (~((~v132(constB31)) | (~v139(constB31))))))),
% 17.50/12.68 inference(monotonicity,[status(thm)],[33841])).
% 17.50/12.68 tff(33843,plain,
% 17.50/12.68 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB31) <=> (~((~v139(constB31)) | (~v132(constB31)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB31) <=> (~((~v132(constB31)) | (~v139(constB31))))))),
% 17.50/12.68 inference(transitivity,[status(thm)],[33842, 33840])).
% 17.50/12.68 tff(33844,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB31) <=> (~((~v139(constB31)) | (~v132(constB31)))))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33845,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB31) <=> (~((~v132(constB31)) | (~v139(constB31)))))),
% 17.50/12.68 inference(modus_ponens,[status(thm)],[33844, 33843])).
% 17.50/12.68 tff(33846,plain,
% 17.50/12.68 (v138(constB31) <=> (~((~v132(constB31)) | (~v139(constB31))))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33845, 644])).
% 17.50/12.68 tff(33847,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB31)) <=> v140(constB31))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33848,plain,
% 17.50/12.68 ((~v139(constB31)) <=> v140(constB31)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33847, 203])).
% 17.50/12.68 tff(33849,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB31) <=> (v141(constB31) | v26(constB31)))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33850,plain,
% 17.50/12.68 (v140(constB31) <=> (v141(constB31) | v26(constB31))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33849, 212])).
% 17.50/12.68 tff(33851,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB31) <=> (~((~v39(constB31)) | (~v9(constB31)))))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33852,plain,
% 17.50/12.68 (v141(constB31) <=> (~((~v39(constB31)) | (~v9(constB31))))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33851, 130])).
% 17.50/12.68 tff(33853,plain,
% 17.50/12.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31)))),
% 17.50/12.68 inference(rewrite,[status(thm)],[])).
% 17.50/12.68 tff(33854,plain,
% 17.50/12.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31)))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33855,plain,
% 17.50/12.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB31, constB32)) | (v13(constB32) <=> v9(constB31))),
% 17.50/12.68 inference(modus_ponens,[status(thm)],[33854, 33853])).
% 17.50/12.68 tff(33856,plain,
% 17.50/12.68 (v13(constB32) <=> v9(constB31)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33855, 1245, 226])).
% 17.50/12.68 tff(33857,plain,
% 17.50/12.68 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB32) <=> v13(constB32))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33858,plain,
% 17.50/12.68 (v6(constB32) <=> v13(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33857, 240])).
% 17.50/12.68 tff(33859,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB32)) <=> v6(constB32))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33860,plain,
% 17.50/12.68 ((~v21(constB32)) <=> v6(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33859, 249])).
% 17.50/12.68 tff(33861,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB32) <=> (v20(constB32) | v21(constB32)))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33862,plain,
% 17.50/12.68 (v19(constB32) <=> (v20(constB32) | v21(constB32))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33861, 258])).
% 17.50/12.68 tff(33863,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB32) <=> (~((~v19(constB32)) | (~v22(constB32)))))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33864,plain,
% 17.50/12.68 (v18(constB32) <=> (~((~v19(constB32)) | (~v22(constB32))))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33863, 270])).
% 17.50/12.68 tff(33865,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB32)) <=> v18(constB32))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33866,plain,
% 17.50/12.68 ((~v4(constB32)) <=> v18(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33865, 279])).
% 17.50/12.68 tff(33867,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB32)),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33868,plain,
% 17.50/12.68 (v4(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33867, 288])).
% 17.50/12.68 tff(33869,plain,
% 17.50/12.68 ((~((~v4(constB32)) <=> v18(constB32))) | (~v4(constB32)) | (~v18(constB32))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33870,plain,
% 17.50/12.68 (~v18(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33869, 33868, 33866])).
% 17.50/12.68 tff(33871,plain,
% 17.50/12.68 ((~(v18(constB32) <=> (~((~v19(constB32)) | (~v22(constB32)))))) | v18(constB32) | ((~v19(constB32)) | (~v22(constB32)))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33872,plain,
% 17.50/12.68 ((~v19(constB32)) | (~v22(constB32))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33871, 33870, 33864])).
% 17.50/12.68 tff(33873,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB32) <=> (v1(constB32) | v6(constB32)))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33874,plain,
% 17.50/12.68 (v22(constB32) <=> (v1(constB32) | v6(constB32))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33873, 301])).
% 17.50/12.68 tff(33875,plain,
% 17.50/12.68 ((v1(constB32) | v6(constB32)) | (~v1(constB32))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33876,plain,
% 17.50/12.68 (v1(constB32) | v6(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33875, 4936])).
% 17.50/12.68 tff(33877,plain,
% 17.50/12.68 ((~(v22(constB32) <=> (v1(constB32) | v6(constB32)))) | v22(constB32) | (~(v1(constB32) | v6(constB32)))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33878,plain,
% 17.50/12.68 ((~(v22(constB32) <=> (v1(constB32) | v6(constB32)))) | v22(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33877, 33876])).
% 17.50/12.68 tff(33879,plain,
% 17.50/12.68 (v22(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33878, 33874])).
% 17.50/12.68 tff(33880,plain,
% 17.50/12.68 ((~((~v19(constB32)) | (~v22(constB32)))) | (~v19(constB32)) | (~v22(constB32))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33881,plain,
% 17.50/12.68 ((~((~v19(constB32)) | (~v22(constB32)))) | (~v19(constB32))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33880, 33879])).
% 17.50/12.68 tff(33882,plain,
% 17.50/12.68 (~v19(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33881, 33872])).
% 17.50/12.68 tff(33883,plain,
% 17.50/12.68 ((~(v19(constB32) <=> (v20(constB32) | v21(constB32)))) | v19(constB32) | (~(v20(constB32) | v21(constB32)))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33884,plain,
% 17.50/12.68 (~(v20(constB32) | v21(constB32))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33883, 33882, 33862])).
% 17.50/12.68 tff(33885,plain,
% 17.50/12.68 ((v20(constB32) | v21(constB32)) | (~v21(constB32))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33886,plain,
% 17.50/12.68 (~v21(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33885, 33884])).
% 17.50/12.68 tff(33887,plain,
% 17.50/12.68 ((~((~v21(constB32)) <=> v6(constB32))) | v21(constB32) | v6(constB32)),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33888,plain,
% 17.50/12.68 (v6(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33887, 33886, 33860])).
% 17.50/12.68 tff(33889,plain,
% 17.50/12.68 ((~(v6(constB32) <=> v13(constB32))) | (~v6(constB32)) | v13(constB32)),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33890,plain,
% 17.50/12.68 (v13(constB32)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33889, 33888, 33858])).
% 17.50/12.68 tff(33891,plain,
% 17.50/12.68 ((~(v13(constB32) <=> v9(constB31))) | (~v13(constB32)) | v9(constB31)),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33892,plain,
% 17.50/12.68 (v9(constB31)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33891, 33890, 33856])).
% 17.50/12.68 tff(33893,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB31)) <=> v1(constB31))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33894,plain,
% 17.50/12.68 ((~v39(constB31)) <=> v1(constB31)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33893, 139])).
% 17.50/12.68 tff(33895,plain,
% 17.50/12.68 ((~((~v39(constB31)) <=> v1(constB31))) | v39(constB31) | v1(constB31)),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33896,plain,
% 17.50/12.68 ((~((~v39(constB31)) <=> v1(constB31))) | v39(constB31)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33895, 1284])).
% 17.50/12.68 tff(33897,plain,
% 17.50/12.68 (v39(constB31)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33896, 33894])).
% 17.50/12.68 tff(33898,plain,
% 17.50/12.68 ((~((~v39(constB31)) | (~v9(constB31)))) | (~v39(constB31)) | (~v9(constB31))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33899,plain,
% 17.50/12.68 ((~((~v39(constB31)) | (~v9(constB31)))) | (~v9(constB31))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33898, 33897])).
% 17.50/12.68 tff(33900,plain,
% 17.50/12.68 (~((~v39(constB31)) | (~v9(constB31)))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33899, 33892])).
% 17.50/12.68 tff(33901,plain,
% 17.50/12.68 ((~(v141(constB31) <=> (~((~v39(constB31)) | (~v9(constB31)))))) | v141(constB31) | ((~v39(constB31)) | (~v9(constB31)))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33902,plain,
% 17.50/12.68 (v141(constB31)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33901, 33900, 33852])).
% 17.50/12.68 tff(33903,plain,
% 17.50/12.68 ((v141(constB31) | v26(constB31)) | (~v141(constB31))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33904,plain,
% 17.50/12.68 (v141(constB31) | v26(constB31)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33903, 33902])).
% 17.50/12.68 tff(33905,plain,
% 17.50/12.68 ((~(v140(constB31) <=> (v141(constB31) | v26(constB31)))) | v140(constB31) | (~(v141(constB31) | v26(constB31)))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33906,plain,
% 17.50/12.68 (v140(constB31)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33905, 33904, 33850])).
% 17.50/12.68 tff(33907,plain,
% 17.50/12.68 ((~((~v139(constB31)) <=> v140(constB31))) | (~v139(constB31)) | (~v140(constB31))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33908,plain,
% 17.50/12.68 (~v139(constB31)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33907, 33906, 33848])).
% 17.50/12.68 tff(33909,plain,
% 17.50/12.68 (((~v132(constB31)) | (~v139(constB31))) | v139(constB31)),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33910,plain,
% 17.50/12.68 ((~v132(constB31)) | (~v139(constB31))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33909, 33908])).
% 17.50/12.68 tff(33911,plain,
% 17.50/12.68 ((~(v138(constB31) <=> (~((~v132(constB31)) | (~v139(constB31)))))) | (~v138(constB31)) | (~((~v132(constB31)) | (~v139(constB31))))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33912,plain,
% 17.50/12.68 (~v138(constB31)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33911, 33910, 33846])).
% 17.50/12.68 tff(33913,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB31) <=> (~((~v143(constB31)) | (~v144(constB31)))))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33914,plain,
% 17.50/12.68 (v142(constB31) <=> (~((~v143(constB31)) | (~v144(constB31))))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33913, 596])).
% 17.50/12.68 tff(33915,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB31) <=> (~((~v141(constB31)) | (~v145(constB31)))))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33916,plain,
% 17.50/12.68 (v144(constB31) <=> (~((~v141(constB31)) | (~v145(constB31))))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33915, 608])).
% 17.50/12.68 tff(33917,plain,
% 17.50/12.68 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB31) <=> (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))))),
% 17.50/12.68 inference(quant_inst,[status(thm)],[])).
% 17.50/12.68 tff(33918,plain,
% 17.50/12.68 (v145(constB31) <=> (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33917, 755])).
% 17.50/12.68 tff(33919,plain,
% 17.50/12.68 ((v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))) | (~v84(constB31, 1))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33920,plain,
% 17.50/12.68 (v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33919, 4894])).
% 17.50/12.68 tff(33921,plain,
% 17.50/12.68 ((~(v145(constB31) <=> (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0)))))) | (~v145(constB31)) | (~(v84(constB31, 1) | v84(constB31, 2) | (~v84(constB31, 0))))),
% 17.50/12.68 inference(tautology,[status(thm)],[])).
% 17.50/12.68 tff(33922,plain,
% 17.50/12.68 (~v145(constB31)),
% 17.50/12.68 inference(unit_resolution,[status(thm)],[33921, 33920, 33918])).
% 17.50/12.69 tff(33923,plain,
% 17.50/12.69 (((~v141(constB31)) | (~v145(constB31))) | v145(constB31)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33924,plain,
% 17.50/12.69 ((~v141(constB31)) | (~v145(constB31))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33923, 33922])).
% 17.50/12.69 tff(33925,plain,
% 17.50/12.69 ((~(v144(constB31) <=> (~((~v141(constB31)) | (~v145(constB31)))))) | (~v144(constB31)) | (~((~v141(constB31)) | (~v145(constB31))))),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33926,plain,
% 17.50/12.69 (~v144(constB31)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33925, 33924, 33916])).
% 17.50/12.69 tff(33927,plain,
% 17.50/12.69 (((~v143(constB31)) | (~v144(constB31))) | v144(constB31)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33928,plain,
% 17.50/12.69 ((~v143(constB31)) | (~v144(constB31))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33927, 33926])).
% 17.50/12.69 tff(33929,plain,
% 17.50/12.69 ((~(v142(constB31) <=> (~((~v143(constB31)) | (~v144(constB31)))))) | (~v142(constB31)) | (~((~v143(constB31)) | (~v144(constB31))))),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33930,plain,
% 17.50/12.69 (~v142(constB31)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33929, 33928, 33914])).
% 17.50/12.69 tff(33931,plain,
% 17.50/12.69 ((~(v138(constB31) | v142(constB31))) | v138(constB31) | v142(constB31)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33932,plain,
% 17.50/12.69 (~(v138(constB31) | v142(constB31))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33931, 33930, 33912])).
% 17.50/12.69 tff(33933,plain,
% 17.50/12.69 ((~(v135(constB31) <=> (v138(constB31) | v142(constB31)))) | (~v135(constB31)) | (v138(constB31) | v142(constB31))),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33934,plain,
% 17.50/12.69 (~v135(constB31)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33933, 33932, 33839])).
% 17.50/12.69 tff(33935,plain,
% 17.50/12.69 ((~(v137(constB32) <=> v135(constB31))) | (~v137(constB32)) | v135(constB31)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33936,plain,
% 17.50/12.69 (~v137(constB32)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33935, 33934, 33837])).
% 17.50/12.69 tff(33937,plain,
% 17.50/12.69 ((~(v132(constB32) <=> v137(constB32))) | (~v132(constB32)) | v137(constB32)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33938,plain,
% 17.50/12.69 (~v132(constB32)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33937, 33936, 33833])).
% 17.50/12.69 tff(33939,plain,
% 17.50/12.69 (((~v132(constB32)) | (~v139(constB32))) | v132(constB32)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33940,plain,
% 17.50/12.69 ((~v132(constB32)) | (~v139(constB32))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33939, 33938])).
% 17.50/12.69 tff(33941,plain,
% 17.50/12.69 ((~(v138(constB32) <=> (~((~v132(constB32)) | (~v139(constB32)))))) | (~v138(constB32)) | (~((~v132(constB32)) | (~v139(constB32))))),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33942,plain,
% 17.50/12.69 (~v138(constB32)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33941, 33940, 33831])).
% 17.50/12.69 tff(33943,plain,
% 17.50/12.69 ((~(v138(constB32) | v142(constB32))) | v138(constB32) | v142(constB32)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33944,plain,
% 17.50/12.69 (~(v138(constB32) | v142(constB32))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33943, 33942, 33824])).
% 17.50/12.69 tff(33945,plain,
% 17.50/12.69 ((~(v135(constB32) <=> (v138(constB32) | v142(constB32)))) | (~v135(constB32)) | (v138(constB32) | v142(constB32))),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33946,plain,
% 17.50/12.69 (~v135(constB32)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33945, 33944, 33799])).
% 17.50/12.69 tff(33947,plain,
% 17.50/12.69 ((~(v137(constB33) <=> v135(constB32))) | (~v137(constB33)) | v135(constB32)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33948,plain,
% 17.50/12.69 (~v137(constB33)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33947, 33946, 33797])).
% 17.50/12.69 tff(33949,plain,
% 17.50/12.69 ((~(v132(constB33) <=> v137(constB33))) | (~v132(constB33)) | v137(constB33)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33950,plain,
% 17.50/12.69 (~v132(constB33)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33949, 33948, 33793])).
% 17.50/12.69 tff(33951,plain,
% 17.50/12.69 (((~v132(constB33)) | (~v155(constB33))) | v132(constB33)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33952,plain,
% 17.50/12.69 ((~v132(constB33)) | (~v155(constB33))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33951, 33950])).
% 17.50/12.69 tff(33953,plain,
% 17.50/12.69 ((~(v154(constB33) <=> (~((~v132(constB33)) | (~v155(constB33)))))) | (~v154(constB33)) | (~((~v132(constB33)) | (~v155(constB33))))),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33954,plain,
% 17.50/12.69 (~v154(constB33)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33953, 33952, 33791])).
% 17.50/12.69 tff(33955,plain,
% 17.50/12.69 ((~(v153(constB33) | v154(constB33))) | v153(constB33) | v154(constB33)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33956,plain,
% 17.50/12.69 (~(v153(constB33) | v154(constB33))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33955, 33954, 33784])).
% 17.50/12.69 tff(33957,plain,
% 17.50/12.69 ((~(v150(constB33) <=> (v153(constB33) | v154(constB33)))) | (~v150(constB33)) | (v153(constB33) | v154(constB33))),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33958,plain,
% 17.50/12.69 (~v150(constB33)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33957, 33956, 33711])).
% 17.50/12.69 tff(33959,plain,
% 17.50/12.69 ((~(v152(constB34) <=> v150(constB33))) | (~v152(constB34)) | v150(constB33)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33960,plain,
% 17.50/12.69 (~v152(constB34)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33959, 33958, 33709])).
% 17.50/12.69 tff(33961,plain,
% 17.50/12.69 ((~(v130(constB34) <=> v152(constB34))) | (~v130(constB34)) | v152(constB34)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33962,plain,
% 17.50/12.69 (~v130(constB34)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33961, 33960, 33705])).
% 17.50/12.69 tff(33963,plain,
% 17.50/12.69 (((~v130(constB34)) | (~v139(constB34))) | v130(constB34)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33964,plain,
% 17.50/12.69 ((~v130(constB34)) | (~v139(constB34))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33963, 33962])).
% 17.50/12.69 tff(33965,plain,
% 17.50/12.69 ((~(v153(constB34) <=> (~((~v130(constB34)) | (~v139(constB34)))))) | (~v153(constB34)) | (~((~v130(constB34)) | (~v139(constB34))))),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33966,plain,
% 17.50/12.69 (~v153(constB34)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33965, 33964, 33703])).
% 17.50/12.69 tff(33967,plain,
% 17.50/12.69 ((~(v153(constB34) | v154(constB34))) | v153(constB34) | v154(constB34)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33968,plain,
% 17.50/12.69 (~(v153(constB34) | v154(constB34))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33967, 33966, 33696])).
% 17.50/12.69 tff(33969,plain,
% 17.50/12.69 ((~(v150(constB34) <=> (v153(constB34) | v154(constB34)))) | (~v150(constB34)) | (v153(constB34) | v154(constB34))),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33970,plain,
% 17.50/12.69 (~v150(constB34)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33969, 33968, 33661])).
% 17.50/12.69 tff(33971,plain,
% 17.50/12.69 ((~(v152(constB35) <=> v150(constB34))) | (~v152(constB35)) | v150(constB34)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33972,plain,
% 17.50/12.69 (~v152(constB35)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33971, 33970, 33659])).
% 17.50/12.69 tff(33973,plain,
% 17.50/12.69 ((~(v130(constB35) <=> v152(constB35))) | (~v130(constB35)) | v152(constB35)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33974,plain,
% 17.50/12.69 (~v130(constB35)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33973, 33972, 33655])).
% 17.50/12.69 tff(33975,plain,
% 17.50/12.69 (((~v130(constB35)) | (~v155(constB35))) | v130(constB35)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33976,plain,
% 17.50/12.69 ((~v130(constB35)) | (~v155(constB35))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33975, 33974])).
% 17.50/12.69 tff(33977,plain,
% 17.50/12.69 ((~(v164(constB35) <=> (~((~v130(constB35)) | (~v155(constB35)))))) | (~v164(constB35)) | (~((~v130(constB35)) | (~v155(constB35))))),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33978,plain,
% 17.50/12.69 (~v164(constB35)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33977, 33976, 33653])).
% 17.50/12.69 tff(33979,plain,
% 17.50/12.69 ((~(v163(constB35) | v164(constB35))) | v163(constB35) | v164(constB35)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33980,plain,
% 17.50/12.69 (~(v163(constB35) | v164(constB35))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33979, 33978, 33646])).
% 17.50/12.69 tff(33981,plain,
% 17.50/12.69 ((~(v160(constB35) <=> (v163(constB35) | v164(constB35)))) | (~v160(constB35)) | (v163(constB35) | v164(constB35))),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33982,plain,
% 17.50/12.69 (~v160(constB35)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33981, 33980, 33573])).
% 17.50/12.69 tff(33983,plain,
% 17.50/12.69 ((~(v162(constB36) <=> v160(constB35))) | (~v162(constB36)) | v160(constB35)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33984,plain,
% 17.50/12.69 (~v162(constB36)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33983, 33982, 33571])).
% 17.50/12.69 tff(33985,plain,
% 17.50/12.69 ((~(v128(constB36) <=> v162(constB36))) | (~v128(constB36)) | v162(constB36)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33986,plain,
% 17.50/12.69 (~v128(constB36)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33985, 33984, 33567])).
% 17.50/12.69 tff(33987,plain,
% 17.50/12.69 (((~v128(constB36)) | (~v139(constB36))) | v128(constB36)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33988,plain,
% 17.50/12.69 ((~v128(constB36)) | (~v139(constB36))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33987, 33986])).
% 17.50/12.69 tff(33989,plain,
% 17.50/12.69 ((~(v163(constB36) <=> (~((~v128(constB36)) | (~v139(constB36)))))) | (~v163(constB36)) | (~((~v128(constB36)) | (~v139(constB36))))),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33990,plain,
% 17.50/12.69 (~v163(constB36)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33989, 33988, 33565])).
% 17.50/12.69 tff(33991,plain,
% 17.50/12.69 ((~(v163(constB36) | v164(constB36))) | v163(constB36) | v164(constB36)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33992,plain,
% 17.50/12.69 (~(v163(constB36) | v164(constB36))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33991, 33990, 33558])).
% 17.50/12.69 tff(33993,plain,
% 17.50/12.69 ((~(v160(constB36) <=> (v163(constB36) | v164(constB36)))) | (~v160(constB36)) | (v163(constB36) | v164(constB36))),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33994,plain,
% 17.50/12.69 (~v160(constB36)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33993, 33992, 33523])).
% 17.50/12.69 tff(33995,plain,
% 17.50/12.69 ((~(v162(constB37) <=> v160(constB36))) | (~v162(constB37)) | v160(constB36)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(33996,plain,
% 17.50/12.69 (~v162(constB37)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33995, 33994, 33521])).
% 17.50/12.69 tff(33997,plain,
% 17.50/12.69 ($false),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[33996, 33517])).
% 17.50/12.69 tff(33998,plain,(~(constB37 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.50/12.69 tff(33999,assumption,(constB147 = VarCurr!0), introduced(assumption)).
% 17.50/12.69 tff(34000,plain,
% 17.50/12.69 (v162(constB147) <=> v162(VarCurr!0)),
% 17.50/12.69 inference(monotonicity,[status(thm)],[33999])).
% 17.50/12.69 tff(34001,plain,
% 17.50/12.69 (v162(VarCurr!0) <=> v162(constB147)),
% 17.50/12.69 inference(symmetry,[status(thm)],[34000])).
% 17.50/12.69 tff(34002,plain,
% 17.50/12.69 (v162(constB147)),
% 17.50/12.69 inference(modus_ponens,[status(thm)],[59, 34001])).
% 17.50/12.69 tff(34003,plain,
% 17.50/12.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB146, constB147)) | (v162(constB147) <=> v160(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB146, constB147)) | (v162(constB147) <=> v160(constB146)))),
% 17.50/12.69 inference(rewrite,[status(thm)],[])).
% 17.50/12.69 tff(34004,plain,
% 17.50/12.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB146, constB147)) | (v162(constB147) <=> v160(constB146)))),
% 17.50/12.69 inference(quant_inst,[status(thm)],[])).
% 17.50/12.69 tff(34005,plain,
% 17.50/12.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB146, constB147)) | (v162(constB147) <=> v160(constB146))),
% 17.50/12.69 inference(modus_ponens,[status(thm)],[34004, 34003])).
% 17.50/12.69 tff(34006,plain,
% 17.50/12.69 (v162(constB147) <=> v160(constB146)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[34005, 15131, 70])).
% 17.50/12.69 tff(34007,plain,
% 17.50/12.69 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB146) <=> (v163(constB146) | v164(constB146)))),
% 17.50/12.69 inference(quant_inst,[status(thm)],[])).
% 17.50/12.69 tff(34008,plain,
% 17.50/12.69 (v160(constB146) <=> (v163(constB146) | v164(constB146))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[34007, 84])).
% 17.50/12.69 tff(34009,plain,
% 17.50/12.69 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v130(constB146)) | (~v155(constB146)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v130(constB146)) | (~v155(constB146))))))),
% 17.50/12.69 inference(rewrite,[status(thm)],[])).
% 17.50/12.69 tff(34010,plain,
% 17.50/12.69 ((v164(constB146) <=> (~((~v155(constB146)) | (~v130(constB146))))) <=> (v164(constB146) <=> (~((~v130(constB146)) | (~v155(constB146)))))),
% 17.50/12.69 inference(rewrite,[status(thm)],[])).
% 17.50/12.69 tff(34011,plain,
% 17.50/12.69 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v155(constB146)) | (~v130(constB146)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v130(constB146)) | (~v155(constB146))))))),
% 17.50/12.69 inference(monotonicity,[status(thm)],[34010])).
% 17.50/12.69 tff(34012,plain,
% 17.50/12.69 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v155(constB146)) | (~v130(constB146)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v130(constB146)) | (~v155(constB146))))))),
% 17.50/12.69 inference(transitivity,[status(thm)],[34011, 34009])).
% 17.50/12.69 tff(34013,plain,
% 17.50/12.69 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v155(constB146)) | (~v130(constB146)))))),
% 17.50/12.69 inference(quant_inst,[status(thm)],[])).
% 17.50/12.69 tff(34014,plain,
% 17.50/12.69 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v130(constB146)) | (~v155(constB146)))))),
% 17.50/12.69 inference(modus_ponens,[status(thm)],[34013, 34012])).
% 17.50/12.69 tff(34015,plain,
% 17.50/12.69 (v164(constB146) <=> (~((~v130(constB146)) | (~v155(constB146))))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[34014, 96])).
% 17.50/12.69 tff(34016,plain,
% 17.50/12.69 (((~v130(constB146)) | (~v155(constB146))) | v155(constB146)),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(34017,plain,
% 17.50/12.69 ((~v130(constB146)) | (~v155(constB146))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[34016, 31614])).
% 17.50/12.69 tff(34018,plain,
% 17.50/12.69 ((~(v164(constB146) <=> (~((~v130(constB146)) | (~v155(constB146)))))) | (~v164(constB146)) | (~((~v130(constB146)) | (~v155(constB146))))),
% 17.50/12.69 inference(tautology,[status(thm)],[])).
% 17.50/12.69 tff(34019,plain,
% 17.50/12.69 (~v164(constB146)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[34018, 34017, 34015])).
% 17.50/12.69 tff(34020,plain,
% 17.50/12.69 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146))))))),
% 17.50/12.69 inference(rewrite,[status(thm)],[])).
% 17.50/12.69 tff(34021,plain,
% 17.50/12.69 ((v163(constB146) <=> (~((~v139(constB146)) | (~v128(constB146))))) <=> (v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146)))))),
% 17.50/12.69 inference(rewrite,[status(thm)],[])).
% 17.50/12.69 tff(34022,plain,
% 17.50/12.69 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v139(constB146)) | (~v128(constB146)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146))))))),
% 17.50/12.69 inference(monotonicity,[status(thm)],[34021])).
% 17.50/12.69 tff(34023,plain,
% 17.50/12.69 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v139(constB146)) | (~v128(constB146)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146))))))),
% 17.50/12.69 inference(transitivity,[status(thm)],[34022, 34020])).
% 17.50/12.69 tff(34024,plain,
% 17.50/12.69 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v139(constB146)) | (~v128(constB146)))))),
% 17.50/12.69 inference(quant_inst,[status(thm)],[])).
% 17.50/12.69 tff(34025,plain,
% 17.50/12.69 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146)))))),
% 17.50/12.69 inference(modus_ponens,[status(thm)],[34024, 34023])).
% 17.50/12.69 tff(34026,plain,
% 17.50/12.69 (v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146))))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[34025, 171])).
% 17.50/12.69 tff(34027,plain,
% 17.50/12.69 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB146) <=> v162(constB146))),
% 17.50/12.69 inference(quant_inst,[status(thm)],[])).
% 17.50/12.69 tff(34028,plain,
% 17.50/12.69 (v128(constB146) <=> v162(constB146)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[34027, 13])).
% 17.50/12.69 tff(34029,plain,
% 17.50/12.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB145, constB146)) | (v162(constB146) <=> v160(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB145, constB146)) | (v162(constB146) <=> v160(constB145)))),
% 17.50/12.69 inference(rewrite,[status(thm)],[])).
% 17.50/12.69 tff(34030,plain,
% 17.50/12.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB145, constB146)) | (v162(constB146) <=> v160(constB145)))),
% 17.50/12.69 inference(quant_inst,[status(thm)],[])).
% 17.50/12.69 tff(34031,plain,
% 17.50/12.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB145, constB146)) | (v162(constB146) <=> v160(constB145))),
% 17.50/12.69 inference(modus_ponens,[status(thm)],[34030, 34029])).
% 17.50/12.69 tff(34032,plain,
% 17.50/12.69 (v162(constB146) <=> v160(constB145)),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[34031, 15167, 70])).
% 17.50/12.69 tff(34033,plain,
% 17.50/12.69 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB145) <=> (v163(constB145) | v164(constB145)))),
% 17.50/12.69 inference(quant_inst,[status(thm)],[])).
% 17.50/12.69 tff(34034,plain,
% 17.50/12.69 (v160(constB145) <=> (v163(constB145) | v164(constB145))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[34033, 84])).
% 17.50/12.69 tff(34035,plain,
% 17.50/12.69 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145))))))),
% 17.50/12.69 inference(rewrite,[status(thm)],[])).
% 17.50/12.69 tff(34036,plain,
% 17.50/12.69 ((v163(constB145) <=> (~((~v139(constB145)) | (~v128(constB145))))) <=> (v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145)))))),
% 17.50/12.69 inference(rewrite,[status(thm)],[])).
% 17.50/12.69 tff(34037,plain,
% 17.50/12.69 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v139(constB145)) | (~v128(constB145)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145))))))),
% 17.50/12.69 inference(monotonicity,[status(thm)],[34036])).
% 17.50/12.69 tff(34038,plain,
% 17.50/12.69 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v139(constB145)) | (~v128(constB145)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145))))))),
% 17.50/12.69 inference(transitivity,[status(thm)],[34037, 34035])).
% 17.50/12.69 tff(34039,plain,
% 17.50/12.69 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v139(constB145)) | (~v128(constB145)))))),
% 17.50/12.69 inference(quant_inst,[status(thm)],[])).
% 17.50/12.69 tff(34040,plain,
% 17.50/12.69 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145)))))),
% 17.50/12.69 inference(modus_ponens,[status(thm)],[34039, 34038])).
% 17.50/12.69 tff(34041,plain,
% 17.50/12.69 (v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145))))),
% 17.50/12.69 inference(unit_resolution,[status(thm)],[34040, 171])).
% 17.50/12.70 tff(34042,plain,
% 17.50/12.70 (((~v128(constB145)) | (~v139(constB145))) | v139(constB145)),
% 17.50/12.70 inference(tautology,[status(thm)],[])).
% 17.50/12.70 tff(34043,plain,
% 17.50/12.70 ((~v128(constB145)) | (~v139(constB145))),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34042, 31702])).
% 17.50/12.70 tff(34044,plain,
% 17.50/12.70 ((~(v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145)))))) | (~v163(constB145)) | (~((~v128(constB145)) | (~v139(constB145))))),
% 17.50/12.70 inference(tautology,[status(thm)],[])).
% 17.50/12.70 tff(34045,plain,
% 17.50/12.70 (~v163(constB145)),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34044, 34043, 34041])).
% 17.50/12.70 tff(34046,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v130(constB145)) | (~v155(constB145)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v130(constB145)) | (~v155(constB145))))))),
% 17.50/12.70 inference(rewrite,[status(thm)],[])).
% 17.50/12.70 tff(34047,plain,
% 17.50/12.70 ((v164(constB145) <=> (~((~v155(constB145)) | (~v130(constB145))))) <=> (v164(constB145) <=> (~((~v130(constB145)) | (~v155(constB145)))))),
% 17.50/12.70 inference(rewrite,[status(thm)],[])).
% 17.50/12.70 tff(34048,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v155(constB145)) | (~v130(constB145)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v130(constB145)) | (~v155(constB145))))))),
% 17.50/12.70 inference(monotonicity,[status(thm)],[34047])).
% 17.50/12.70 tff(34049,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v155(constB145)) | (~v130(constB145)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v130(constB145)) | (~v155(constB145))))))),
% 17.50/12.70 inference(transitivity,[status(thm)],[34048, 34046])).
% 17.50/12.70 tff(34050,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v155(constB145)) | (~v130(constB145)))))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34051,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v130(constB145)) | (~v155(constB145)))))),
% 17.50/12.70 inference(modus_ponens,[status(thm)],[34050, 34049])).
% 17.50/12.70 tff(34052,plain,
% 17.50/12.70 (v164(constB145) <=> (~((~v130(constB145)) | (~v155(constB145))))),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34051, 96])).
% 17.50/12.70 tff(34053,plain,
% 17.50/12.70 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB145) <=> v152(constB145))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34054,plain,
% 17.50/12.70 (v130(constB145) <=> v152(constB145)),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34053, 361])).
% 17.50/12.70 tff(34055,plain,
% 17.50/12.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB144, constB145)) | (v152(constB145) <=> v150(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB144, constB145)) | (v152(constB145) <=> v150(constB144)))),
% 17.50/12.70 inference(rewrite,[status(thm)],[])).
% 17.50/12.70 tff(34056,plain,
% 17.50/12.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB144, constB145)) | (v152(constB145) <=> v150(constB144)))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34057,plain,
% 17.50/12.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB144, constB145)) | (v152(constB145) <=> v150(constB144))),
% 17.50/12.70 inference(modus_ponens,[status(thm)],[34056, 34055])).
% 17.50/12.70 tff(34058,plain,
% 17.50/12.70 (v152(constB145) <=> v150(constB144)),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34057, 15192, 373])).
% 17.50/12.70 tff(34059,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB144) <=> (v153(constB144) | v154(constB144)))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34060,plain,
% 17.50/12.70 (v150(constB144) <=> (v153(constB144) | v154(constB144))),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34059, 387])).
% 17.50/12.70 tff(34061,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB144) <=> (~((~v132(constB144)) | (~v155(constB144)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB144) <=> (~((~v132(constB144)) | (~v155(constB144))))))),
% 17.50/12.70 inference(rewrite,[status(thm)],[])).
% 17.50/12.70 tff(34062,plain,
% 17.50/12.70 ((v154(constB144) <=> (~((~v155(constB144)) | (~v132(constB144))))) <=> (v154(constB144) <=> (~((~v132(constB144)) | (~v155(constB144)))))),
% 17.50/12.70 inference(rewrite,[status(thm)],[])).
% 17.50/12.70 tff(34063,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB144) <=> (~((~v155(constB144)) | (~v132(constB144)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB144) <=> (~((~v132(constB144)) | (~v155(constB144))))))),
% 17.50/12.70 inference(monotonicity,[status(thm)],[34062])).
% 17.50/12.70 tff(34064,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB144) <=> (~((~v155(constB144)) | (~v132(constB144)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB144) <=> (~((~v132(constB144)) | (~v155(constB144))))))),
% 17.50/12.70 inference(transitivity,[status(thm)],[34063, 34061])).
% 17.50/12.70 tff(34065,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB144) <=> (~((~v155(constB144)) | (~v132(constB144)))))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34066,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB144) <=> (~((~v132(constB144)) | (~v155(constB144)))))),
% 17.50/12.70 inference(modus_ponens,[status(thm)],[34065, 34064])).
% 17.50/12.70 tff(34067,plain,
% 17.50/12.70 (v154(constB144) <=> (~((~v132(constB144)) | (~v155(constB144))))),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34066, 399])).
% 17.50/12.70 tff(34068,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB144) <=> (~((~v141(constB144)) | (~v143(constB144)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB144) <=> (~((~v141(constB144)) | (~v143(constB144))))))),
% 17.50/12.70 inference(rewrite,[status(thm)],[])).
% 17.50/12.70 tff(34069,plain,
% 17.50/12.70 ((v155(constB144) <=> (~((~v143(constB144)) | (~v141(constB144))))) <=> (v155(constB144) <=> (~((~v141(constB144)) | (~v143(constB144)))))),
% 17.50/12.70 inference(rewrite,[status(thm)],[])).
% 17.50/12.70 tff(34070,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB144) <=> (~((~v143(constB144)) | (~v141(constB144)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB144) <=> (~((~v141(constB144)) | (~v143(constB144))))))),
% 17.50/12.70 inference(monotonicity,[status(thm)],[34069])).
% 17.50/12.70 tff(34071,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB144) <=> (~((~v143(constB144)) | (~v141(constB144)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB144) <=> (~((~v141(constB144)) | (~v143(constB144))))))),
% 17.50/12.70 inference(transitivity,[status(thm)],[34070, 34068])).
% 17.50/12.70 tff(34072,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB144) <=> (~((~v143(constB144)) | (~v141(constB144)))))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34073,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB144) <=> (~((~v141(constB144)) | (~v143(constB144)))))),
% 17.50/12.70 inference(modus_ponens,[status(thm)],[34072, 34071])).
% 17.50/12.70 tff(34074,plain,
% 17.50/12.70 (v155(constB144) <=> (~((~v141(constB144)) | (~v143(constB144))))),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34073, 113])).
% 17.50/12.70 tff(34075,plain,
% 17.50/12.70 (((~v141(constB144)) | (~v143(constB144))) | v141(constB144)),
% 17.50/12.70 inference(tautology,[status(thm)],[])).
% 17.50/12.70 tff(34076,plain,
% 17.50/12.70 ((~v141(constB144)) | (~v143(constB144))),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34075, 31737])).
% 17.50/12.70 tff(34077,plain,
% 17.50/12.70 ((~(v155(constB144) <=> (~((~v141(constB144)) | (~v143(constB144)))))) | (~v155(constB144)) | (~((~v141(constB144)) | (~v143(constB144))))),
% 17.50/12.70 inference(tautology,[status(thm)],[])).
% 17.50/12.70 tff(34078,plain,
% 17.50/12.70 ((~(v155(constB144) <=> (~((~v141(constB144)) | (~v143(constB144)))))) | (~v155(constB144))),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34077, 34076])).
% 17.50/12.70 tff(34079,plain,
% 17.50/12.70 (~v155(constB144)),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34078, 34074])).
% 17.50/12.70 tff(34080,plain,
% 17.50/12.70 (((~v132(constB144)) | (~v155(constB144))) | v155(constB144)),
% 17.50/12.70 inference(tautology,[status(thm)],[])).
% 17.50/12.70 tff(34081,plain,
% 17.50/12.70 ((~v132(constB144)) | (~v155(constB144))),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34080, 34079])).
% 17.50/12.70 tff(34082,plain,
% 17.50/12.70 ((~(v154(constB144) <=> (~((~v132(constB144)) | (~v155(constB144)))))) | (~v154(constB144)) | (~((~v132(constB144)) | (~v155(constB144))))),
% 17.50/12.70 inference(tautology,[status(thm)],[])).
% 17.50/12.70 tff(34083,plain,
% 17.50/12.70 (~v154(constB144)),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34082, 34081, 34067])).
% 17.50/12.70 tff(34084,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB144) <=> (~((~v130(constB144)) | (~v139(constB144)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB144) <=> (~((~v130(constB144)) | (~v139(constB144))))))),
% 17.50/12.70 inference(rewrite,[status(thm)],[])).
% 17.50/12.70 tff(34085,plain,
% 17.50/12.70 ((v153(constB144) <=> (~((~v139(constB144)) | (~v130(constB144))))) <=> (v153(constB144) <=> (~((~v130(constB144)) | (~v139(constB144)))))),
% 17.50/12.70 inference(rewrite,[status(thm)],[])).
% 17.50/12.70 tff(34086,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB144) <=> (~((~v139(constB144)) | (~v130(constB144)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB144) <=> (~((~v130(constB144)) | (~v139(constB144))))))),
% 17.50/12.70 inference(monotonicity,[status(thm)],[34085])).
% 17.50/12.70 tff(34087,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB144) <=> (~((~v139(constB144)) | (~v130(constB144)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB144) <=> (~((~v130(constB144)) | (~v139(constB144))))))),
% 17.50/12.70 inference(transitivity,[status(thm)],[34086, 34084])).
% 17.50/12.70 tff(34088,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB144) <=> (~((~v139(constB144)) | (~v130(constB144)))))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34089,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB144) <=> (~((~v130(constB144)) | (~v139(constB144)))))),
% 17.50/12.70 inference(modus_ponens,[status(thm)],[34088, 34087])).
% 17.50/12.70 tff(34090,plain,
% 17.50/12.70 (v153(constB144) <=> (~((~v130(constB144)) | (~v139(constB144))))),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34089, 447])).
% 17.50/12.70 tff(34091,plain,
% 17.50/12.70 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB144) <=> v152(constB144))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34092,plain,
% 17.50/12.70 (v130(constB144) <=> v152(constB144)),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34091, 361])).
% 17.50/12.70 tff(34093,plain,
% 17.50/12.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB143, constB144)) | (v152(constB144) <=> v150(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB143, constB144)) | (v152(constB144) <=> v150(constB143)))),
% 17.50/12.70 inference(rewrite,[status(thm)],[])).
% 17.50/12.70 tff(34094,plain,
% 17.50/12.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB143, constB144)) | (v152(constB144) <=> v150(constB143)))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34095,plain,
% 17.50/12.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB143, constB144)) | (v152(constB144) <=> v150(constB143))),
% 17.50/12.70 inference(modus_ponens,[status(thm)],[34094, 34093])).
% 17.50/12.70 tff(34096,plain,
% 17.50/12.70 (v152(constB144) <=> v150(constB143)),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34095, 15228, 373])).
% 17.50/12.70 tff(34097,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB143) <=> (v153(constB143) | v154(constB143)))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34098,plain,
% 17.50/12.70 (v150(constB143) <=> (v153(constB143) | v154(constB143))),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34097, 387])).
% 17.50/12.70 tff(34099,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB143) <=> (~((~v130(constB143)) | (~v139(constB143)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB143) <=> (~((~v130(constB143)) | (~v139(constB143))))))),
% 17.50/12.70 inference(rewrite,[status(thm)],[])).
% 17.50/12.70 tff(34100,plain,
% 17.50/12.70 ((v153(constB143) <=> (~((~v139(constB143)) | (~v130(constB143))))) <=> (v153(constB143) <=> (~((~v130(constB143)) | (~v139(constB143)))))),
% 17.50/12.70 inference(rewrite,[status(thm)],[])).
% 17.50/12.70 tff(34101,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB143) <=> (~((~v139(constB143)) | (~v130(constB143)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB143) <=> (~((~v130(constB143)) | (~v139(constB143))))))),
% 17.50/12.70 inference(monotonicity,[status(thm)],[34100])).
% 17.50/12.70 tff(34102,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB143) <=> (~((~v139(constB143)) | (~v130(constB143)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB143) <=> (~((~v130(constB143)) | (~v139(constB143))))))),
% 17.50/12.70 inference(transitivity,[status(thm)],[34101, 34099])).
% 17.50/12.70 tff(34103,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB143) <=> (~((~v139(constB143)) | (~v130(constB143)))))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34104,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB143) <=> (~((~v130(constB143)) | (~v139(constB143)))))),
% 17.50/12.70 inference(modus_ponens,[status(thm)],[34103, 34102])).
% 17.50/12.70 tff(34105,plain,
% 17.50/12.70 (v153(constB143) <=> (~((~v130(constB143)) | (~v139(constB143))))),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34104, 447])).
% 17.50/12.70 tff(34106,plain,
% 17.50/12.70 (((~v130(constB143)) | (~v139(constB143))) | v139(constB143)),
% 17.50/12.70 inference(tautology,[status(thm)],[])).
% 17.50/12.70 tff(34107,plain,
% 17.50/12.70 ((~v130(constB143)) | (~v139(constB143))),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34106, 31830])).
% 17.50/12.70 tff(34108,plain,
% 17.50/12.70 ((~(v153(constB143) <=> (~((~v130(constB143)) | (~v139(constB143)))))) | (~v153(constB143)) | (~((~v130(constB143)) | (~v139(constB143))))),
% 17.50/12.70 inference(tautology,[status(thm)],[])).
% 17.50/12.70 tff(34109,plain,
% 17.50/12.70 (~v153(constB143)),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34108, 34107, 34105])).
% 17.50/12.70 tff(34110,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB143) <=> (~((~v132(constB143)) | (~v155(constB143)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB143) <=> (~((~v132(constB143)) | (~v155(constB143))))))),
% 17.50/12.70 inference(rewrite,[status(thm)],[])).
% 17.50/12.70 tff(34111,plain,
% 17.50/12.70 ((v154(constB143) <=> (~((~v155(constB143)) | (~v132(constB143))))) <=> (v154(constB143) <=> (~((~v132(constB143)) | (~v155(constB143)))))),
% 17.50/12.70 inference(rewrite,[status(thm)],[])).
% 17.50/12.70 tff(34112,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB143) <=> (~((~v155(constB143)) | (~v132(constB143)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB143) <=> (~((~v132(constB143)) | (~v155(constB143))))))),
% 17.50/12.70 inference(monotonicity,[status(thm)],[34111])).
% 17.50/12.70 tff(34113,plain,
% 17.50/12.70 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB143) <=> (~((~v155(constB143)) | (~v132(constB143)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB143) <=> (~((~v132(constB143)) | (~v155(constB143))))))),
% 17.50/12.70 inference(transitivity,[status(thm)],[34112, 34110])).
% 17.50/12.70 tff(34114,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB143) <=> (~((~v155(constB143)) | (~v132(constB143)))))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34115,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB143) <=> (~((~v132(constB143)) | (~v155(constB143)))))),
% 17.50/12.70 inference(modus_ponens,[status(thm)],[34114, 34113])).
% 17.50/12.70 tff(34116,plain,
% 17.50/12.70 (v154(constB143) <=> (~((~v132(constB143)) | (~v155(constB143))))),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34115, 399])).
% 17.50/12.70 tff(34117,plain,
% 17.50/12.70 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB143) <=> v137(constB143))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34118,plain,
% 17.50/12.70 (v132(constB143) <=> v137(constB143)),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34117, 558])).
% 17.50/12.70 tff(34119,plain,
% 17.50/12.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB142, constB143)) | (v137(constB143) <=> v135(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB142, constB143)) | (v137(constB143) <=> v135(constB142)))),
% 17.50/12.70 inference(rewrite,[status(thm)],[])).
% 17.50/12.70 tff(34120,plain,
% 17.50/12.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB142, constB143)) | (v137(constB143) <=> v135(constB142)))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34121,plain,
% 17.50/12.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB142, constB143)) | (v137(constB143) <=> v135(constB142))),
% 17.50/12.70 inference(modus_ponens,[status(thm)],[34120, 34119])).
% 17.50/12.70 tff(34122,plain,
% 17.50/12.70 (v137(constB143) <=> v135(constB142)),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34121, 15258, 570])).
% 17.50/12.70 tff(34123,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB142) <=> (v138(constB142) | v142(constB142)))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34124,plain,
% 17.50/12.70 (v135(constB142) <=> (v138(constB142) | v142(constB142))),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34123, 584])).
% 17.50/12.70 tff(34125,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB142) <=> (~((~v143(constB142)) | (~v144(constB142)))))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.70 tff(34126,plain,
% 17.50/12.70 (v142(constB142) <=> (~((~v143(constB142)) | (~v144(constB142))))),
% 17.50/12.70 inference(unit_resolution,[status(thm)],[34125, 596])).
% 17.50/12.70 tff(34127,plain,
% 17.50/12.70 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB142) <=> (~((~v141(constB142)) | (~v145(constB142)))))),
% 17.50/12.70 inference(quant_inst,[status(thm)],[])).
% 17.50/12.71 tff(34128,plain,
% 17.50/12.71 (v144(constB142) <=> (~((~v141(constB142)) | (~v145(constB142))))),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34127, 608])).
% 17.50/12.71 tff(34129,plain,
% 17.50/12.71 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))),
% 17.50/12.71 inference(quant_inst,[status(thm)],[])).
% 17.50/12.71 tff(34130,plain,
% 17.50/12.71 (v141(constB142) <=> (~((~v39(constB142)) | (~v9(constB142))))),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34129, 130])).
% 17.50/12.71 tff(34131,plain,
% 17.50/12.71 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB142)) <=> v1(constB142))),
% 17.50/12.71 inference(quant_inst,[status(thm)],[])).
% 17.50/12.71 tff(34132,plain,
% 17.50/12.71 ((~v39(constB142)) <=> v1(constB142)),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34131, 139])).
% 17.50/12.71 tff(34133,plain,
% 17.50/12.71 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142)) | (~v1(constB142))),
% 17.50/12.71 inference(tautology,[status(thm)],[])).
% 17.50/12.71 tff(34134,plain,
% 17.50/12.71 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142))),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34133, 19799])).
% 17.50/12.71 tff(34135,plain,
% 17.50/12.71 (~v39(constB142)),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34134, 34132])).
% 17.50/12.71 tff(34136,plain,
% 17.50/12.71 (((~v39(constB142)) | (~v9(constB142))) | v39(constB142)),
% 17.50/12.71 inference(tautology,[status(thm)],[])).
% 17.50/12.71 tff(34137,plain,
% 17.50/12.71 ((~v39(constB142)) | (~v9(constB142))),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34136, 34135])).
% 17.50/12.71 tff(34138,plain,
% 17.50/12.71 ((~(v141(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v141(constB142)) | (~((~v39(constB142)) | (~v9(constB142))))),
% 17.50/12.71 inference(tautology,[status(thm)],[])).
% 17.50/12.71 tff(34139,plain,
% 17.50/12.71 ((~(v141(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v141(constB142))),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34138, 34137])).
% 17.50/12.71 tff(34140,plain,
% 17.50/12.71 (~v141(constB142)),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34139, 34130])).
% 17.50/12.71 tff(34141,plain,
% 17.50/12.71 (((~v141(constB142)) | (~v145(constB142))) | v141(constB142)),
% 17.50/12.71 inference(tautology,[status(thm)],[])).
% 17.50/12.71 tff(34142,plain,
% 17.50/12.71 ((~v141(constB142)) | (~v145(constB142))),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34141, 34140])).
% 17.50/12.71 tff(34143,plain,
% 17.50/12.71 ((~(v144(constB142) <=> (~((~v141(constB142)) | (~v145(constB142)))))) | (~v144(constB142)) | (~((~v141(constB142)) | (~v145(constB142))))),
% 17.50/12.71 inference(tautology,[status(thm)],[])).
% 17.50/12.71 tff(34144,plain,
% 17.50/12.71 ((~(v144(constB142) <=> (~((~v141(constB142)) | (~v145(constB142)))))) | (~v144(constB142))),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34143, 34142])).
% 17.50/12.71 tff(34145,plain,
% 17.50/12.71 (~v144(constB142)),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34144, 34128])).
% 17.50/12.71 tff(34146,plain,
% 17.50/12.71 (((~v143(constB142)) | (~v144(constB142))) | v144(constB142)),
% 17.50/12.71 inference(tautology,[status(thm)],[])).
% 17.50/12.71 tff(34147,plain,
% 17.50/12.71 ((~v143(constB142)) | (~v144(constB142))),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34146, 34145])).
% 17.50/12.71 tff(34148,plain,
% 17.50/12.71 ((~(v142(constB142) <=> (~((~v143(constB142)) | (~v144(constB142)))))) | (~v142(constB142)) | (~((~v143(constB142)) | (~v144(constB142))))),
% 17.50/12.71 inference(tautology,[status(thm)],[])).
% 17.50/12.71 tff(34149,plain,
% 17.50/12.71 (~v142(constB142)),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34148, 34147, 34126])).
% 17.50/12.71 tff(34150,plain,
% 17.50/12.71 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142))))))),
% 17.50/12.71 inference(rewrite,[status(thm)],[])).
% 17.50/12.71 tff(34151,plain,
% 17.50/12.71 ((v138(constB142) <=> (~((~v139(constB142)) | (~v132(constB142))))) <=> (v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142)))))),
% 17.50/12.71 inference(rewrite,[status(thm)],[])).
% 17.50/12.71 tff(34152,plain,
% 17.50/12.71 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v139(constB142)) | (~v132(constB142)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142))))))),
% 17.50/12.71 inference(monotonicity,[status(thm)],[34151])).
% 17.50/12.71 tff(34153,plain,
% 17.50/12.71 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v139(constB142)) | (~v132(constB142)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142))))))),
% 17.50/12.71 inference(transitivity,[status(thm)],[34152, 34150])).
% 17.50/12.71 tff(34154,plain,
% 17.50/12.71 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v139(constB142)) | (~v132(constB142)))))),
% 17.50/12.71 inference(quant_inst,[status(thm)],[])).
% 17.50/12.71 tff(34155,plain,
% 17.50/12.71 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142)))))),
% 17.50/12.71 inference(modus_ponens,[status(thm)],[34154, 34153])).
% 17.50/12.71 tff(34156,plain,
% 17.50/12.71 (v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142))))),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34155, 644])).
% 17.50/12.71 tff(34157,plain,
% 17.50/12.71 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB142) <=> v137(constB142))),
% 17.50/12.71 inference(quant_inst,[status(thm)],[])).
% 17.50/12.71 tff(34158,plain,
% 17.50/12.71 (v132(constB142) <=> v137(constB142)),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34157, 558])).
% 17.50/12.71 tff(34159,plain,
% 17.50/12.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB141, constB142)) | (v137(constB142) <=> v135(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB141, constB142)) | (v137(constB142) <=> v135(constB141)))),
% 17.50/12.71 inference(rewrite,[status(thm)],[])).
% 17.50/12.71 tff(34160,plain,
% 17.50/12.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB141, constB142)) | (v137(constB142) <=> v135(constB141)))),
% 17.50/12.71 inference(quant_inst,[status(thm)],[])).
% 17.50/12.71 tff(34161,plain,
% 17.50/12.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB141, constB142)) | (v137(constB142) <=> v135(constB141))),
% 17.50/12.71 inference(modus_ponens,[status(thm)],[34160, 34159])).
% 17.50/12.71 tff(34162,plain,
% 17.50/12.71 (v137(constB142) <=> v135(constB141)),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34161, 15294, 570])).
% 17.50/12.71 tff(34163,plain,
% 17.50/12.71 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB141) <=> (v138(constB141) | v142(constB141)))),
% 17.50/12.71 inference(quant_inst,[status(thm)],[])).
% 17.50/12.71 tff(34164,plain,
% 17.50/12.71 (v135(constB141) <=> (v138(constB141) | v142(constB141))),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34163, 584])).
% 17.50/12.71 tff(34165,plain,
% 17.50/12.71 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141))))))),
% 17.50/12.71 inference(rewrite,[status(thm)],[])).
% 17.50/12.71 tff(34166,plain,
% 17.50/12.71 ((v138(constB141) <=> (~((~v139(constB141)) | (~v132(constB141))))) <=> (v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141)))))),
% 17.50/12.71 inference(rewrite,[status(thm)],[])).
% 17.50/12.71 tff(34167,plain,
% 17.50/12.71 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v139(constB141)) | (~v132(constB141)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141))))))),
% 17.50/12.71 inference(monotonicity,[status(thm)],[34166])).
% 17.50/12.71 tff(34168,plain,
% 17.50/12.71 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v139(constB141)) | (~v132(constB141)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141))))))),
% 17.50/12.71 inference(transitivity,[status(thm)],[34167, 34165])).
% 17.50/12.71 tff(34169,plain,
% 17.50/12.71 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v139(constB141)) | (~v132(constB141)))))),
% 17.50/12.71 inference(quant_inst,[status(thm)],[])).
% 17.50/12.71 tff(34170,plain,
% 17.50/12.71 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141)))))),
% 17.50/12.71 inference(modus_ponens,[status(thm)],[34169, 34168])).
% 17.50/12.71 tff(34171,plain,
% 17.50/12.71 (v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141))))),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34170, 644])).
% 17.50/12.71 tff(34172,plain,
% 17.50/12.71 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB141)) <=> v140(constB141))),
% 17.50/12.71 inference(quant_inst,[status(thm)],[])).
% 17.50/12.71 tff(34173,plain,
% 17.50/12.71 ((~v139(constB141)) <=> v140(constB141)),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34172, 203])).
% 17.50/12.71 tff(34174,plain,
% 17.50/12.71 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB141) <=> (v141(constB141) | v26(constB141)))),
% 17.50/12.71 inference(quant_inst,[status(thm)],[])).
% 17.50/12.71 tff(34175,plain,
% 17.50/12.71 (v140(constB141) <=> (v141(constB141) | v26(constB141))),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34174, 212])).
% 17.50/12.71 tff(34176,plain,
% 17.50/12.71 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB141) <=> (~((~v39(constB141)) | (~v9(constB141)))))),
% 17.50/12.71 inference(quant_inst,[status(thm)],[])).
% 17.50/12.71 tff(34177,plain,
% 17.50/12.71 (v141(constB141) <=> (~((~v39(constB141)) | (~v9(constB141))))),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34176, 130])).
% 17.50/12.71 tff(34178,plain,
% 17.50/12.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141)))),
% 17.50/12.71 inference(rewrite,[status(thm)],[])).
% 17.50/12.71 tff(34179,plain,
% 17.50/12.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141)))),
% 17.50/12.71 inference(quant_inst,[status(thm)],[])).
% 17.50/12.71 tff(34180,plain,
% 17.50/12.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141))),
% 17.50/12.71 inference(modus_ponens,[status(thm)],[34179, 34178])).
% 17.50/12.71 tff(34181,plain,
% 17.50/12.71 (v13(constB142) <=> v9(constB141)),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34180, 15294, 226])).
% 17.50/12.71 tff(34182,plain,
% 17.50/12.71 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB142) <=> v13(constB142))),
% 17.50/12.71 inference(quant_inst,[status(thm)],[])).
% 17.50/12.71 tff(34183,plain,
% 17.50/12.71 (v6(constB142) <=> v13(constB142)),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34182, 240])).
% 17.50/12.71 tff(34184,plain,
% 17.50/12.71 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB142)) <=> v6(constB142))),
% 17.50/12.71 inference(quant_inst,[status(thm)],[])).
% 17.50/12.71 tff(34185,plain,
% 17.50/12.71 ((~v21(constB142)) <=> v6(constB142)),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34184, 249])).
% 17.50/12.71 tff(34186,plain,
% 17.50/12.71 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB142) <=> (v20(constB142) | v21(constB142)))),
% 17.50/12.71 inference(quant_inst,[status(thm)],[])).
% 17.50/12.71 tff(34187,plain,
% 17.50/12.71 (v19(constB142) <=> (v20(constB142) | v21(constB142))),
% 17.50/12.71 inference(unit_resolution,[status(thm)],[34186, 258])).
% 17.50/12.71 tff(34188,plain,
% 17.50/12.71 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142)))))),
% 17.58/12.71 inference(quant_inst,[status(thm)],[])).
% 17.58/12.71 tff(34189,plain,
% 17.58/12.71 (v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142))))),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34188, 270])).
% 17.58/12.71 tff(34190,plain,
% 17.58/12.71 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB142)) <=> v18(constB142))),
% 17.58/12.71 inference(quant_inst,[status(thm)],[])).
% 17.58/12.71 tff(34191,plain,
% 17.58/12.71 ((~v4(constB142)) <=> v18(constB142)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34190, 279])).
% 17.58/12.71 tff(34192,plain,
% 17.58/12.71 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB142)),
% 17.58/12.71 inference(quant_inst,[status(thm)],[])).
% 17.58/12.71 tff(34193,plain,
% 17.58/12.71 (v4(constB142)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34192, 288])).
% 17.58/12.71 tff(34194,plain,
% 17.58/12.71 ((~((~v4(constB142)) <=> v18(constB142))) | (~v4(constB142)) | (~v18(constB142))),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34195,plain,
% 17.58/12.71 (~v18(constB142)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34194, 34193, 34191])).
% 17.58/12.71 tff(34196,plain,
% 17.58/12.71 ((~(v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142)))))) | v18(constB142) | ((~v19(constB142)) | (~v22(constB142)))),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34197,plain,
% 17.58/12.71 ((~v19(constB142)) | (~v22(constB142))),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34196, 34195, 34189])).
% 17.58/12.71 tff(34198,plain,
% 17.58/12.71 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB142) <=> (v1(constB142) | v6(constB142)))),
% 17.58/12.71 inference(quant_inst,[status(thm)],[])).
% 17.58/12.71 tff(34199,plain,
% 17.58/12.71 (v22(constB142) <=> (v1(constB142) | v6(constB142))),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34198, 301])).
% 17.58/12.71 tff(34200,plain,
% 17.58/12.71 ((v1(constB142) | v6(constB142)) | (~v1(constB142))),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34201,plain,
% 17.58/12.71 (v1(constB142) | v6(constB142)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34200, 19799])).
% 17.58/12.71 tff(34202,plain,
% 17.58/12.71 ((~(v22(constB142) <=> (v1(constB142) | v6(constB142)))) | v22(constB142) | (~(v1(constB142) | v6(constB142)))),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34203,plain,
% 17.58/12.71 ((~(v22(constB142) <=> (v1(constB142) | v6(constB142)))) | v22(constB142)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34202, 34201])).
% 17.58/12.71 tff(34204,plain,
% 17.58/12.71 (v22(constB142)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34203, 34199])).
% 17.58/12.71 tff(34205,plain,
% 17.58/12.71 ((~((~v19(constB142)) | (~v22(constB142)))) | (~v19(constB142)) | (~v22(constB142))),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34206,plain,
% 17.58/12.71 ((~((~v19(constB142)) | (~v22(constB142)))) | (~v19(constB142))),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34205, 34204])).
% 17.58/12.71 tff(34207,plain,
% 17.58/12.71 (~v19(constB142)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34206, 34197])).
% 17.58/12.71 tff(34208,plain,
% 17.58/12.71 ((~(v19(constB142) <=> (v20(constB142) | v21(constB142)))) | v19(constB142) | (~(v20(constB142) | v21(constB142)))),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34209,plain,
% 17.58/12.71 (~(v20(constB142) | v21(constB142))),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34208, 34207, 34187])).
% 17.58/12.71 tff(34210,plain,
% 17.58/12.71 ((v20(constB142) | v21(constB142)) | (~v21(constB142))),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34211,plain,
% 17.58/12.71 (~v21(constB142)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34210, 34209])).
% 17.58/12.71 tff(34212,plain,
% 17.58/12.71 ((~((~v21(constB142)) <=> v6(constB142))) | v21(constB142) | v6(constB142)),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34213,plain,
% 17.58/12.71 (v6(constB142)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34212, 34211, 34185])).
% 17.58/12.71 tff(34214,plain,
% 17.58/12.71 ((~(v6(constB142) <=> v13(constB142))) | (~v6(constB142)) | v13(constB142)),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34215,plain,
% 17.58/12.71 (v13(constB142)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34214, 34213, 34183])).
% 17.58/12.71 tff(34216,plain,
% 17.58/12.71 ((~(v13(constB142) <=> v9(constB141))) | (~v13(constB142)) | v9(constB141)),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34217,plain,
% 17.58/12.71 (v9(constB141)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34216, 34215, 34181])).
% 17.58/12.71 tff(34218,plain,
% 17.58/12.71 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB141)) <=> v1(constB141))),
% 17.58/12.71 inference(quant_inst,[status(thm)],[])).
% 17.58/12.71 tff(34219,plain,
% 17.58/12.71 ((~v39(constB141)) <=> v1(constB141)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34218, 139])).
% 17.58/12.71 tff(34220,plain,
% 17.58/12.71 ((~((~v39(constB141)) <=> v1(constB141))) | v39(constB141) | v1(constB141)),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34221,plain,
% 17.58/12.71 ((~((~v39(constB141)) <=> v1(constB141))) | v39(constB141)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34220, 15333])).
% 17.58/12.71 tff(34222,plain,
% 17.58/12.71 (v39(constB141)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34221, 34219])).
% 17.58/12.71 tff(34223,plain,
% 17.58/12.71 ((~((~v39(constB141)) | (~v9(constB141)))) | (~v39(constB141)) | (~v9(constB141))),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34224,plain,
% 17.58/12.71 ((~((~v39(constB141)) | (~v9(constB141)))) | (~v9(constB141))),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34223, 34222])).
% 17.58/12.71 tff(34225,plain,
% 17.58/12.71 (~((~v39(constB141)) | (~v9(constB141)))),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34224, 34217])).
% 17.58/12.71 tff(34226,plain,
% 17.58/12.71 ((~(v141(constB141) <=> (~((~v39(constB141)) | (~v9(constB141)))))) | v141(constB141) | ((~v39(constB141)) | (~v9(constB141)))),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34227,plain,
% 17.58/12.71 (v141(constB141)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34226, 34225, 34177])).
% 17.58/12.71 tff(34228,plain,
% 17.58/12.71 ((v141(constB141) | v26(constB141)) | (~v141(constB141))),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34229,plain,
% 17.58/12.71 (v141(constB141) | v26(constB141)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34228, 34227])).
% 17.58/12.71 tff(34230,plain,
% 17.58/12.71 ((~(v140(constB141) <=> (v141(constB141) | v26(constB141)))) | v140(constB141) | (~(v141(constB141) | v26(constB141)))),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34231,plain,
% 17.58/12.71 (v140(constB141)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34230, 34229, 34175])).
% 17.58/12.71 tff(34232,plain,
% 17.58/12.71 ((~((~v139(constB141)) <=> v140(constB141))) | (~v139(constB141)) | (~v140(constB141))),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34233,plain,
% 17.58/12.71 (~v139(constB141)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34232, 34231, 34173])).
% 17.58/12.71 tff(34234,plain,
% 17.58/12.71 (((~v132(constB141)) | (~v139(constB141))) | v139(constB141)),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34235,plain,
% 17.58/12.71 ((~v132(constB141)) | (~v139(constB141))),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34234, 34233])).
% 17.58/12.71 tff(34236,plain,
% 17.58/12.71 ((~(v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141)))))) | (~v138(constB141)) | (~((~v132(constB141)) | (~v139(constB141))))),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34237,plain,
% 17.58/12.71 (~v138(constB141)),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34236, 34235, 34171])).
% 17.58/12.71 tff(34238,plain,
% 17.58/12.71 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB141) <=> (~((~v143(constB141)) | (~v144(constB141)))))),
% 17.58/12.71 inference(quant_inst,[status(thm)],[])).
% 17.58/12.71 tff(34239,plain,
% 17.58/12.71 (v142(constB141) <=> (~((~v143(constB141)) | (~v144(constB141))))),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34238, 596])).
% 17.58/12.71 tff(34240,plain,
% 17.58/12.71 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB141) <=> (~((~v141(constB141)) | (~v145(constB141)))))),
% 17.58/12.71 inference(quant_inst,[status(thm)],[])).
% 17.58/12.71 tff(34241,plain,
% 17.58/12.71 (v144(constB141) <=> (~((~v141(constB141)) | (~v145(constB141))))),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34240, 608])).
% 17.58/12.71 tff(34242,plain,
% 17.58/12.71 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB141) <=> (~(v84(constB141, 1) | v84(constB141, 2) | (~v84(constB141, 0)))))),
% 17.58/12.71 inference(quant_inst,[status(thm)],[])).
% 17.58/12.71 tff(34243,plain,
% 17.58/12.71 (v145(constB141) <=> (~(v84(constB141, 1) | v84(constB141, 2) | (~v84(constB141, 0))))),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34242, 755])).
% 17.58/12.71 tff(34244,plain,
% 17.58/12.71 ((v84(constB141, 1) | v84(constB141, 2) | (~v84(constB141, 0))) | (~v84(constB141, 1))),
% 17.58/12.71 inference(tautology,[status(thm)],[])).
% 17.58/12.71 tff(34245,plain,
% 17.58/12.71 (v84(constB141, 1) | v84(constB141, 2) | (~v84(constB141, 0))),
% 17.58/12.71 inference(unit_resolution,[status(thm)],[34244, 19757])).
% 17.58/12.72 tff(34246,plain,
% 17.58/12.72 ((~(v145(constB141) <=> (~(v84(constB141, 1) | v84(constB141, 2) | (~v84(constB141, 0)))))) | (~v145(constB141)) | (~(v84(constB141, 1) | v84(constB141, 2) | (~v84(constB141, 0))))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34247,plain,
% 17.58/12.72 (~v145(constB141)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34246, 34245, 34243])).
% 17.58/12.72 tff(34248,plain,
% 17.58/12.72 (((~v141(constB141)) | (~v145(constB141))) | v145(constB141)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34249,plain,
% 17.58/12.72 ((~v141(constB141)) | (~v145(constB141))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34248, 34247])).
% 17.58/12.72 tff(34250,plain,
% 17.58/12.72 ((~(v144(constB141) <=> (~((~v141(constB141)) | (~v145(constB141)))))) | (~v144(constB141)) | (~((~v141(constB141)) | (~v145(constB141))))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34251,plain,
% 17.58/12.72 (~v144(constB141)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34250, 34249, 34241])).
% 17.58/12.72 tff(34252,plain,
% 17.58/12.72 (((~v143(constB141)) | (~v144(constB141))) | v144(constB141)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34253,plain,
% 17.58/12.72 ((~v143(constB141)) | (~v144(constB141))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34252, 34251])).
% 17.58/12.72 tff(34254,plain,
% 17.58/12.72 ((~(v142(constB141) <=> (~((~v143(constB141)) | (~v144(constB141)))))) | (~v142(constB141)) | (~((~v143(constB141)) | (~v144(constB141))))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34255,plain,
% 17.58/12.72 (~v142(constB141)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34254, 34253, 34239])).
% 17.58/12.72 tff(34256,plain,
% 17.58/12.72 ((~(v138(constB141) | v142(constB141))) | v138(constB141) | v142(constB141)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34257,plain,
% 17.58/12.72 (~(v138(constB141) | v142(constB141))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34256, 34255, 34237])).
% 17.58/12.72 tff(34258,plain,
% 17.58/12.72 ((~(v135(constB141) <=> (v138(constB141) | v142(constB141)))) | (~v135(constB141)) | (v138(constB141) | v142(constB141))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34259,plain,
% 17.58/12.72 (~v135(constB141)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34258, 34257, 34164])).
% 17.58/12.72 tff(34260,plain,
% 17.58/12.72 ((~(v137(constB142) <=> v135(constB141))) | (~v137(constB142)) | v135(constB141)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34261,plain,
% 17.58/12.72 (~v137(constB142)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34260, 34259, 34162])).
% 17.58/12.72 tff(34262,plain,
% 17.58/12.72 ((~(v132(constB142) <=> v137(constB142))) | (~v132(constB142)) | v137(constB142)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34263,plain,
% 17.58/12.72 (~v132(constB142)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34262, 34261, 34158])).
% 17.58/12.72 tff(34264,plain,
% 17.58/12.72 (((~v132(constB142)) | (~v139(constB142))) | v132(constB142)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34265,plain,
% 17.58/12.72 ((~v132(constB142)) | (~v139(constB142))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34264, 34263])).
% 17.58/12.72 tff(34266,plain,
% 17.58/12.72 ((~(v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142)))))) | (~v138(constB142)) | (~((~v132(constB142)) | (~v139(constB142))))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34267,plain,
% 17.58/12.72 (~v138(constB142)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34266, 34265, 34156])).
% 17.58/12.72 tff(34268,plain,
% 17.58/12.72 ((~(v138(constB142) | v142(constB142))) | v138(constB142) | v142(constB142)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34269,plain,
% 17.58/12.72 (~(v138(constB142) | v142(constB142))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34268, 34267, 34149])).
% 17.58/12.72 tff(34270,plain,
% 17.58/12.72 ((~(v135(constB142) <=> (v138(constB142) | v142(constB142)))) | (~v135(constB142)) | (v138(constB142) | v142(constB142))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34271,plain,
% 17.58/12.72 (~v135(constB142)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34270, 34269, 34124])).
% 17.58/12.72 tff(34272,plain,
% 17.58/12.72 ((~(v137(constB143) <=> v135(constB142))) | (~v137(constB143)) | v135(constB142)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34273,plain,
% 17.58/12.72 (~v137(constB143)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34272, 34271, 34122])).
% 17.58/12.72 tff(34274,plain,
% 17.58/12.72 ((~(v132(constB143) <=> v137(constB143))) | (~v132(constB143)) | v137(constB143)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34275,plain,
% 17.58/12.72 (~v132(constB143)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34274, 34273, 34118])).
% 17.58/12.72 tff(34276,plain,
% 17.58/12.72 (((~v132(constB143)) | (~v155(constB143))) | v132(constB143)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34277,plain,
% 17.58/12.72 ((~v132(constB143)) | (~v155(constB143))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34276, 34275])).
% 17.58/12.72 tff(34278,plain,
% 17.58/12.72 ((~(v154(constB143) <=> (~((~v132(constB143)) | (~v155(constB143)))))) | (~v154(constB143)) | (~((~v132(constB143)) | (~v155(constB143))))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34279,plain,
% 17.58/12.72 (~v154(constB143)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34278, 34277, 34116])).
% 17.58/12.72 tff(34280,plain,
% 17.58/12.72 ((~(v153(constB143) | v154(constB143))) | v153(constB143) | v154(constB143)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34281,plain,
% 17.58/12.72 (~(v153(constB143) | v154(constB143))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34280, 34279, 34109])).
% 17.58/12.72 tff(34282,plain,
% 17.58/12.72 ((~(v150(constB143) <=> (v153(constB143) | v154(constB143)))) | (~v150(constB143)) | (v153(constB143) | v154(constB143))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34283,plain,
% 17.58/12.72 (~v150(constB143)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34282, 34281, 34098])).
% 17.58/12.72 tff(34284,plain,
% 17.58/12.72 ((~(v152(constB144) <=> v150(constB143))) | (~v152(constB144)) | v150(constB143)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34285,plain,
% 17.58/12.72 (~v152(constB144)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34284, 34283, 34096])).
% 17.58/12.72 tff(34286,plain,
% 17.58/12.72 ((~(v130(constB144) <=> v152(constB144))) | (~v130(constB144)) | v152(constB144)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34287,plain,
% 17.58/12.72 (~v130(constB144)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34286, 34285, 34092])).
% 17.58/12.72 tff(34288,plain,
% 17.58/12.72 (((~v130(constB144)) | (~v139(constB144))) | v130(constB144)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34289,plain,
% 17.58/12.72 ((~v130(constB144)) | (~v139(constB144))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34288, 34287])).
% 17.58/12.72 tff(34290,plain,
% 17.58/12.72 ((~(v153(constB144) <=> (~((~v130(constB144)) | (~v139(constB144)))))) | (~v153(constB144)) | (~((~v130(constB144)) | (~v139(constB144))))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34291,plain,
% 17.58/12.72 (~v153(constB144)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34290, 34289, 34090])).
% 17.58/12.72 tff(34292,plain,
% 17.58/12.72 ((~(v153(constB144) | v154(constB144))) | v153(constB144) | v154(constB144)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34293,plain,
% 17.58/12.72 (~(v153(constB144) | v154(constB144))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34292, 34291, 34083])).
% 17.58/12.72 tff(34294,plain,
% 17.58/12.72 ((~(v150(constB144) <=> (v153(constB144) | v154(constB144)))) | (~v150(constB144)) | (v153(constB144) | v154(constB144))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34295,plain,
% 17.58/12.72 (~v150(constB144)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34294, 34293, 34060])).
% 17.58/12.72 tff(34296,plain,
% 17.58/12.72 ((~(v152(constB145) <=> v150(constB144))) | (~v152(constB145)) | v150(constB144)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34297,plain,
% 17.58/12.72 (~v152(constB145)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34296, 34295, 34058])).
% 17.58/12.72 tff(34298,plain,
% 17.58/12.72 ((~(v130(constB145) <=> v152(constB145))) | (~v130(constB145)) | v152(constB145)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34299,plain,
% 17.58/12.72 (~v130(constB145)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34298, 34297, 34054])).
% 17.58/12.72 tff(34300,plain,
% 17.58/12.72 (((~v130(constB145)) | (~v155(constB145))) | v130(constB145)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34301,plain,
% 17.58/12.72 ((~v130(constB145)) | (~v155(constB145))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34300, 34299])).
% 17.58/12.72 tff(34302,plain,
% 17.58/12.72 ((~(v164(constB145) <=> (~((~v130(constB145)) | (~v155(constB145)))))) | (~v164(constB145)) | (~((~v130(constB145)) | (~v155(constB145))))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34303,plain,
% 17.58/12.72 (~v164(constB145)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34302, 34301, 34052])).
% 17.58/12.72 tff(34304,plain,
% 17.58/12.72 ((~(v163(constB145) | v164(constB145))) | v163(constB145) | v164(constB145)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34305,plain,
% 17.58/12.72 (~(v163(constB145) | v164(constB145))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34304, 34303, 34045])).
% 17.58/12.72 tff(34306,plain,
% 17.58/12.72 ((~(v160(constB145) <=> (v163(constB145) | v164(constB145)))) | (~v160(constB145)) | (v163(constB145) | v164(constB145))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34307,plain,
% 17.58/12.72 (~v160(constB145)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34306, 34305, 34034])).
% 17.58/12.72 tff(34308,plain,
% 17.58/12.72 ((~(v162(constB146) <=> v160(constB145))) | (~v162(constB146)) | v160(constB145)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34309,plain,
% 17.58/12.72 (~v162(constB146)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34308, 34307, 34032])).
% 17.58/12.72 tff(34310,plain,
% 17.58/12.72 ((~(v128(constB146) <=> v162(constB146))) | (~v128(constB146)) | v162(constB146)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34311,plain,
% 17.58/12.72 (~v128(constB146)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34310, 34309, 34028])).
% 17.58/12.72 tff(34312,plain,
% 17.58/12.72 (((~v128(constB146)) | (~v139(constB146))) | v128(constB146)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34313,plain,
% 17.58/12.72 ((~v128(constB146)) | (~v139(constB146))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34312, 34311])).
% 17.58/12.72 tff(34314,plain,
% 17.58/12.72 ((~(v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146)))))) | (~v163(constB146)) | (~((~v128(constB146)) | (~v139(constB146))))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34315,plain,
% 17.58/12.72 (~v163(constB146)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34314, 34313, 34026])).
% 17.58/12.72 tff(34316,plain,
% 17.58/12.72 ((~(v163(constB146) | v164(constB146))) | v163(constB146) | v164(constB146)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34317,plain,
% 17.58/12.72 (~(v163(constB146) | v164(constB146))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34316, 34315, 34019])).
% 17.58/12.72 tff(34318,plain,
% 17.58/12.72 ((~(v160(constB146) <=> (v163(constB146) | v164(constB146)))) | (~v160(constB146)) | (v163(constB146) | v164(constB146))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34319,plain,
% 17.58/12.72 (~v160(constB146)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34318, 34317, 34008])).
% 17.58/12.72 tff(34320,plain,
% 17.58/12.72 ((~(v162(constB147) <=> v160(constB146))) | (~v162(constB147)) | v160(constB146)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34321,plain,
% 17.58/12.72 (~v162(constB147)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34320, 34319, 34006])).
% 17.58/12.72 tff(34322,plain,
% 17.58/12.72 ($false),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34321, 34002])).
% 17.58/12.72 tff(34323,plain,(~(constB147 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.58/12.72 tff(34324,assumption,(constB169 = VarCurr!0), introduced(assumption)).
% 17.58/12.72 tff(34325,plain,
% 17.58/12.72 (v162(constB169) <=> v162(VarCurr!0)),
% 17.58/12.72 inference(monotonicity,[status(thm)],[34324])).
% 17.58/12.72 tff(34326,plain,
% 17.58/12.72 (v162(VarCurr!0) <=> v162(constB169)),
% 17.58/12.72 inference(symmetry,[status(thm)],[34325])).
% 17.58/12.72 tff(34327,plain,
% 17.58/12.72 (v162(constB169)),
% 17.58/12.72 inference(modus_ponens,[status(thm)],[59, 34326])).
% 17.58/12.72 tff(34328,plain,
% 17.58/12.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB168, constB169)) | (v162(constB169) <=> v160(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB168, constB169)) | (v162(constB169) <=> v160(constB168)))),
% 17.58/12.72 inference(rewrite,[status(thm)],[])).
% 17.58/12.72 tff(34329,plain,
% 17.58/12.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB168, constB169)) | (v162(constB169) <=> v160(constB168)))),
% 17.58/12.72 inference(quant_inst,[status(thm)],[])).
% 17.58/12.72 tff(34330,plain,
% 17.58/12.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB168, constB169)) | (v162(constB169) <=> v160(constB168))),
% 17.58/12.72 inference(modus_ponens,[status(thm)],[34329, 34328])).
% 17.58/12.72 tff(34331,plain,
% 17.58/12.72 (v162(constB169) <=> v160(constB168)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34330, 22764, 70])).
% 17.58/12.72 tff(34332,plain,
% 17.58/12.72 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB168) <=> (v163(constB168) | v164(constB168)))),
% 17.58/12.72 inference(quant_inst,[status(thm)],[])).
% 17.58/12.72 tff(34333,plain,
% 17.58/12.72 (v160(constB168) <=> (v163(constB168) | v164(constB168))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34332, 84])).
% 17.58/12.72 tff(34334,plain,
% 17.58/12.72 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v130(constB168)) | (~v155(constB168)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v130(constB168)) | (~v155(constB168))))))),
% 17.58/12.72 inference(rewrite,[status(thm)],[])).
% 17.58/12.72 tff(34335,plain,
% 17.58/12.72 ((v164(constB168) <=> (~((~v155(constB168)) | (~v130(constB168))))) <=> (v164(constB168) <=> (~((~v130(constB168)) | (~v155(constB168)))))),
% 17.58/12.72 inference(rewrite,[status(thm)],[])).
% 17.58/12.72 tff(34336,plain,
% 17.58/12.72 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v155(constB168)) | (~v130(constB168)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v130(constB168)) | (~v155(constB168))))))),
% 17.58/12.72 inference(monotonicity,[status(thm)],[34335])).
% 17.58/12.72 tff(34337,plain,
% 17.58/12.72 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v155(constB168)) | (~v130(constB168)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v130(constB168)) | (~v155(constB168))))))),
% 17.58/12.72 inference(transitivity,[status(thm)],[34336, 34334])).
% 17.58/12.72 tff(34338,plain,
% 17.58/12.72 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v155(constB168)) | (~v130(constB168)))))),
% 17.58/12.72 inference(quant_inst,[status(thm)],[])).
% 17.58/12.72 tff(34339,plain,
% 17.58/12.72 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v130(constB168)) | (~v155(constB168)))))),
% 17.58/12.72 inference(modus_ponens,[status(thm)],[34338, 34337])).
% 17.58/12.72 tff(34340,plain,
% 17.58/12.72 (v164(constB168) <=> (~((~v130(constB168)) | (~v155(constB168))))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34339, 96])).
% 17.58/12.72 tff(34341,plain,
% 17.58/12.72 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB168) <=> (~((~v141(constB168)) | (~v143(constB168)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB168) <=> (~((~v141(constB168)) | (~v143(constB168))))))),
% 17.58/12.72 inference(rewrite,[status(thm)],[])).
% 17.58/12.72 tff(34342,plain,
% 17.58/12.72 ((v155(constB168) <=> (~((~v143(constB168)) | (~v141(constB168))))) <=> (v155(constB168) <=> (~((~v141(constB168)) | (~v143(constB168)))))),
% 17.58/12.72 inference(rewrite,[status(thm)],[])).
% 17.58/12.72 tff(34343,plain,
% 17.58/12.72 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB168) <=> (~((~v143(constB168)) | (~v141(constB168)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB168) <=> (~((~v141(constB168)) | (~v143(constB168))))))),
% 17.58/12.72 inference(monotonicity,[status(thm)],[34342])).
% 17.58/12.72 tff(34344,plain,
% 17.58/12.72 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB168) <=> (~((~v143(constB168)) | (~v141(constB168)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB168) <=> (~((~v141(constB168)) | (~v143(constB168))))))),
% 17.58/12.72 inference(transitivity,[status(thm)],[34343, 34341])).
% 17.58/12.72 tff(34345,plain,
% 17.58/12.72 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB168) <=> (~((~v143(constB168)) | (~v141(constB168)))))),
% 17.58/12.72 inference(quant_inst,[status(thm)],[])).
% 17.58/12.72 tff(34346,plain,
% 17.58/12.72 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB168) <=> (~((~v141(constB168)) | (~v143(constB168)))))),
% 17.58/12.72 inference(modus_ponens,[status(thm)],[34345, 34344])).
% 17.58/12.72 tff(34347,plain,
% 17.58/12.72 (v155(constB168) <=> (~((~v141(constB168)) | (~v143(constB168))))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34346, 113])).
% 17.58/12.72 tff(34348,plain,
% 17.58/12.72 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB168) <=> (~((~v39(constB168)) | (~v9(constB168)))))),
% 17.58/12.72 inference(quant_inst,[status(thm)],[])).
% 17.58/12.72 tff(34349,plain,
% 17.58/12.72 (v141(constB168) <=> (~((~v39(constB168)) | (~v9(constB168))))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34348, 130])).
% 17.58/12.72 tff(34350,plain,
% 17.58/12.72 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB168)) <=> v1(constB168))),
% 17.58/12.72 inference(quant_inst,[status(thm)],[])).
% 17.58/12.72 tff(34351,plain,
% 17.58/12.72 ((~v39(constB168)) <=> v1(constB168)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34350, 139])).
% 17.58/12.72 tff(34352,plain,
% 17.58/12.72 ((~((~v39(constB168)) <=> v1(constB168))) | (~v39(constB168)) | (~v1(constB168))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34353,plain,
% 17.58/12.72 ((~((~v39(constB168)) <=> v1(constB168))) | (~v39(constB168))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34352, 23535])).
% 17.58/12.72 tff(34354,plain,
% 17.58/12.72 (~v39(constB168)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34353, 34351])).
% 17.58/12.72 tff(34355,plain,
% 17.58/12.72 (((~v39(constB168)) | (~v9(constB168))) | v39(constB168)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34356,plain,
% 17.58/12.72 ((~v39(constB168)) | (~v9(constB168))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34355, 34354])).
% 17.58/12.72 tff(34357,plain,
% 17.58/12.72 ((~(v141(constB168) <=> (~((~v39(constB168)) | (~v9(constB168)))))) | (~v141(constB168)) | (~((~v39(constB168)) | (~v9(constB168))))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34358,plain,
% 17.58/12.72 ((~(v141(constB168) <=> (~((~v39(constB168)) | (~v9(constB168)))))) | (~v141(constB168))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34357, 34356])).
% 17.58/12.72 tff(34359,plain,
% 17.58/12.72 (~v141(constB168)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34358, 34349])).
% 17.58/12.72 tff(34360,plain,
% 17.58/12.72 (((~v141(constB168)) | (~v143(constB168))) | v141(constB168)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34361,plain,
% 17.58/12.72 ((~v141(constB168)) | (~v143(constB168))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34360, 34359])).
% 17.58/12.72 tff(34362,plain,
% 17.58/12.72 ((~(v155(constB168) <=> (~((~v141(constB168)) | (~v143(constB168)))))) | (~v155(constB168)) | (~((~v141(constB168)) | (~v143(constB168))))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34363,plain,
% 17.58/12.72 ((~(v155(constB168) <=> (~((~v141(constB168)) | (~v143(constB168)))))) | (~v155(constB168))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34362, 34361])).
% 17.58/12.72 tff(34364,plain,
% 17.58/12.72 (~v155(constB168)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34363, 34347])).
% 17.58/12.72 tff(34365,plain,
% 17.58/12.72 (((~v130(constB168)) | (~v155(constB168))) | v155(constB168)),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34366,plain,
% 17.58/12.72 ((~v130(constB168)) | (~v155(constB168))),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34365, 34364])).
% 17.58/12.72 tff(34367,plain,
% 17.58/12.72 ((~(v164(constB168) <=> (~((~v130(constB168)) | (~v155(constB168)))))) | (~v164(constB168)) | (~((~v130(constB168)) | (~v155(constB168))))),
% 17.58/12.72 inference(tautology,[status(thm)],[])).
% 17.58/12.72 tff(34368,plain,
% 17.58/12.72 (~v164(constB168)),
% 17.58/12.72 inference(unit_resolution,[status(thm)],[34367, 34366, 34340])).
% 17.58/12.72 tff(34369,plain,
% 17.58/12.72 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168))))))),
% 17.58/12.72 inference(rewrite,[status(thm)],[])).
% 17.58/12.72 tff(34370,plain,
% 17.58/12.72 ((v163(constB168) <=> (~((~v139(constB168)) | (~v128(constB168))))) <=> (v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168)))))),
% 17.58/12.72 inference(rewrite,[status(thm)],[])).
% 17.58/12.72 tff(34371,plain,
% 17.58/12.72 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v139(constB168)) | (~v128(constB168)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168))))))),
% 17.58/12.73 inference(monotonicity,[status(thm)],[34370])).
% 17.58/12.73 tff(34372,plain,
% 17.58/12.73 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v139(constB168)) | (~v128(constB168)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168))))))),
% 17.58/12.73 inference(transitivity,[status(thm)],[34371, 34369])).
% 17.58/12.73 tff(34373,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v139(constB168)) | (~v128(constB168)))))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34374,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168)))))),
% 17.58/12.73 inference(modus_ponens,[status(thm)],[34373, 34372])).
% 17.58/12.73 tff(34375,plain,
% 17.58/12.73 (v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168))))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34374, 171])).
% 17.58/12.73 tff(34376,plain,
% 17.58/12.73 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB168) <=> v162(constB168))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34377,plain,
% 17.58/12.73 (v128(constB168) <=> v162(constB168)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34376, 13])).
% 17.58/12.73 tff(34378,plain,
% 17.58/12.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB167, constB168)) | (v162(constB168) <=> v160(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB167, constB168)) | (v162(constB168) <=> v160(constB167)))),
% 17.58/12.73 inference(rewrite,[status(thm)],[])).
% 17.58/12.73 tff(34379,plain,
% 17.58/12.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB167, constB168)) | (v162(constB168) <=> v160(constB167)))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34380,plain,
% 17.58/12.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB167, constB168)) | (v162(constB168) <=> v160(constB167))),
% 17.58/12.73 inference(modus_ponens,[status(thm)],[34379, 34378])).
% 17.58/12.73 tff(34381,plain,
% 17.58/12.73 (v162(constB168) <=> v160(constB167)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34380, 22800, 70])).
% 17.58/12.73 tff(34382,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB167) <=> (v163(constB167) | v164(constB167)))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34383,plain,
% 17.58/12.73 (v160(constB167) <=> (v163(constB167) | v164(constB167))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34382, 84])).
% 17.58/12.73 tff(34384,plain,
% 17.58/12.73 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167))))))),
% 17.58/12.73 inference(rewrite,[status(thm)],[])).
% 17.58/12.73 tff(34385,plain,
% 17.58/12.73 ((v163(constB167) <=> (~((~v139(constB167)) | (~v128(constB167))))) <=> (v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167)))))),
% 17.58/12.73 inference(rewrite,[status(thm)],[])).
% 17.58/12.73 tff(34386,plain,
% 17.58/12.73 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v139(constB167)) | (~v128(constB167)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167))))))),
% 17.58/12.73 inference(monotonicity,[status(thm)],[34385])).
% 17.58/12.73 tff(34387,plain,
% 17.58/12.73 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v139(constB167)) | (~v128(constB167)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167))))))),
% 17.58/12.73 inference(transitivity,[status(thm)],[34386, 34384])).
% 17.58/12.73 tff(34388,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v139(constB167)) | (~v128(constB167)))))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34389,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167)))))),
% 17.58/12.73 inference(modus_ponens,[status(thm)],[34388, 34387])).
% 17.58/12.73 tff(34390,plain,
% 17.58/12.73 (v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167))))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34389, 171])).
% 17.58/12.73 tff(34391,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB167)) <=> v140(constB167))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34392,plain,
% 17.58/12.73 ((~v139(constB167)) <=> v140(constB167)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34391, 203])).
% 17.58/12.73 tff(34393,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB167) <=> (v141(constB167) | v26(constB167)))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34394,plain,
% 17.58/12.73 (v140(constB167) <=> (v141(constB167) | v26(constB167))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34393, 212])).
% 17.58/12.73 tff(34395,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB167) <=> (~((~v39(constB167)) | (~v9(constB167)))))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34396,plain,
% 17.58/12.73 (v141(constB167) <=> (~((~v39(constB167)) | (~v9(constB167))))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34395, 130])).
% 17.58/12.73 tff(34397,plain,
% 17.58/12.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB167, constB168)) | (v13(constB168) <=> v9(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB167, constB168)) | (v13(constB168) <=> v9(constB167)))),
% 17.58/12.73 inference(rewrite,[status(thm)],[])).
% 17.58/12.73 tff(34398,plain,
% 17.58/12.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB167, constB168)) | (v13(constB168) <=> v9(constB167)))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34399,plain,
% 17.58/12.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB167, constB168)) | (v13(constB168) <=> v9(constB167))),
% 17.58/12.73 inference(modus_ponens,[status(thm)],[34398, 34397])).
% 17.58/12.73 tff(34400,plain,
% 17.58/12.73 (v13(constB168) <=> v9(constB167)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34399, 22800, 226])).
% 17.58/12.73 tff(34401,plain,
% 17.58/12.73 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB168) <=> v13(constB168))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34402,plain,
% 17.58/12.73 (v6(constB168) <=> v13(constB168)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34401, 240])).
% 17.58/12.73 tff(34403,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB168)) <=> v6(constB168))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34404,plain,
% 17.58/12.73 ((~v21(constB168)) <=> v6(constB168)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34403, 249])).
% 17.58/12.73 tff(34405,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB168) <=> (v20(constB168) | v21(constB168)))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34406,plain,
% 17.58/12.73 (v19(constB168) <=> (v20(constB168) | v21(constB168))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34405, 258])).
% 17.58/12.73 tff(34407,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB168) <=> (~((~v19(constB168)) | (~v22(constB168)))))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34408,plain,
% 17.58/12.73 (v18(constB168) <=> (~((~v19(constB168)) | (~v22(constB168))))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34407, 270])).
% 17.58/12.73 tff(34409,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB168)) <=> v18(constB168))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34410,plain,
% 17.58/12.73 ((~v4(constB168)) <=> v18(constB168)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34409, 279])).
% 17.58/12.73 tff(34411,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB168)),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34412,plain,
% 17.58/12.73 (v4(constB168)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34411, 288])).
% 17.58/12.73 tff(34413,plain,
% 17.58/12.73 ((~((~v4(constB168)) <=> v18(constB168))) | (~v4(constB168)) | (~v18(constB168))),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34414,plain,
% 17.58/12.73 (~v18(constB168)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34413, 34412, 34410])).
% 17.58/12.73 tff(34415,plain,
% 17.58/12.73 ((~(v18(constB168) <=> (~((~v19(constB168)) | (~v22(constB168)))))) | v18(constB168) | ((~v19(constB168)) | (~v22(constB168)))),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34416,plain,
% 17.58/12.73 ((~v19(constB168)) | (~v22(constB168))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34415, 34414, 34408])).
% 17.58/12.73 tff(34417,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB168) <=> (v1(constB168) | v6(constB168)))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34418,plain,
% 17.58/12.73 (v22(constB168) <=> (v1(constB168) | v6(constB168))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34417, 301])).
% 17.58/12.73 tff(34419,plain,
% 17.58/12.73 ((v1(constB168) | v6(constB168)) | (~v1(constB168))),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34420,plain,
% 17.58/12.73 (v1(constB168) | v6(constB168)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34419, 23535])).
% 17.58/12.73 tff(34421,plain,
% 17.58/12.73 ((~(v22(constB168) <=> (v1(constB168) | v6(constB168)))) | v22(constB168) | (~(v1(constB168) | v6(constB168)))),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34422,plain,
% 17.58/12.73 ((~(v22(constB168) <=> (v1(constB168) | v6(constB168)))) | v22(constB168)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34421, 34420])).
% 17.58/12.73 tff(34423,plain,
% 17.58/12.73 (v22(constB168)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34422, 34418])).
% 17.58/12.73 tff(34424,plain,
% 17.58/12.73 ((~((~v19(constB168)) | (~v22(constB168)))) | (~v19(constB168)) | (~v22(constB168))),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34425,plain,
% 17.58/12.73 ((~((~v19(constB168)) | (~v22(constB168)))) | (~v19(constB168))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34424, 34423])).
% 17.58/12.73 tff(34426,plain,
% 17.58/12.73 (~v19(constB168)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34425, 34416])).
% 17.58/12.73 tff(34427,plain,
% 17.58/12.73 ((~(v19(constB168) <=> (v20(constB168) | v21(constB168)))) | v19(constB168) | (~(v20(constB168) | v21(constB168)))),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34428,plain,
% 17.58/12.73 (~(v20(constB168) | v21(constB168))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34427, 34426, 34406])).
% 17.58/12.73 tff(34429,plain,
% 17.58/12.73 ((v20(constB168) | v21(constB168)) | (~v21(constB168))),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34430,plain,
% 17.58/12.73 (~v21(constB168)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34429, 34428])).
% 17.58/12.73 tff(34431,plain,
% 17.58/12.73 ((~((~v21(constB168)) <=> v6(constB168))) | v21(constB168) | v6(constB168)),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34432,plain,
% 17.58/12.73 (v6(constB168)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34431, 34430, 34404])).
% 17.58/12.73 tff(34433,plain,
% 17.58/12.73 ((~(v6(constB168) <=> v13(constB168))) | (~v6(constB168)) | v13(constB168)),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34434,plain,
% 17.58/12.73 (v13(constB168)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34433, 34432, 34402])).
% 17.58/12.73 tff(34435,plain,
% 17.58/12.73 ((~(v13(constB168) <=> v9(constB167))) | (~v13(constB168)) | v9(constB167)),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34436,plain,
% 17.58/12.73 (v9(constB167)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34435, 34434, 34400])).
% 17.58/12.73 tff(34437,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB167)) <=> v1(constB167))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34438,plain,
% 17.58/12.73 ((~v39(constB167)) <=> v1(constB167)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34437, 139])).
% 17.58/12.73 tff(34439,plain,
% 17.58/12.73 ((~((~v39(constB167)) <=> v1(constB167))) | v39(constB167) | v1(constB167)),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34440,plain,
% 17.58/12.73 ((~((~v39(constB167)) <=> v1(constB167))) | v39(constB167)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34439, 22836])).
% 17.58/12.73 tff(34441,plain,
% 17.58/12.73 (v39(constB167)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34440, 34438])).
% 17.58/12.73 tff(34442,plain,
% 17.58/12.73 ((~((~v39(constB167)) | (~v9(constB167)))) | (~v39(constB167)) | (~v9(constB167))),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34443,plain,
% 17.58/12.73 ((~((~v39(constB167)) | (~v9(constB167)))) | (~v9(constB167))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34442, 34441])).
% 17.58/12.73 tff(34444,plain,
% 17.58/12.73 (~((~v39(constB167)) | (~v9(constB167)))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34443, 34436])).
% 17.58/12.73 tff(34445,plain,
% 17.58/12.73 ((~(v141(constB167) <=> (~((~v39(constB167)) | (~v9(constB167)))))) | v141(constB167) | ((~v39(constB167)) | (~v9(constB167)))),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34446,plain,
% 17.58/12.73 (v141(constB167)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34445, 34444, 34396])).
% 17.58/12.73 tff(34447,plain,
% 17.58/12.73 ((v141(constB167) | v26(constB167)) | (~v141(constB167))),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34448,plain,
% 17.58/12.73 (v141(constB167) | v26(constB167)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34447, 34446])).
% 17.58/12.73 tff(34449,plain,
% 17.58/12.73 ((~(v140(constB167) <=> (v141(constB167) | v26(constB167)))) | v140(constB167) | (~(v141(constB167) | v26(constB167)))),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34450,plain,
% 17.58/12.73 (v140(constB167)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34449, 34448, 34394])).
% 17.58/12.73 tff(34451,plain,
% 17.58/12.73 ((~((~v139(constB167)) <=> v140(constB167))) | (~v139(constB167)) | (~v140(constB167))),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34452,plain,
% 17.58/12.73 (~v139(constB167)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34451, 34450, 34392])).
% 17.58/12.73 tff(34453,plain,
% 17.58/12.73 (((~v128(constB167)) | (~v139(constB167))) | v139(constB167)),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34454,plain,
% 17.58/12.73 ((~v128(constB167)) | (~v139(constB167))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34453, 34452])).
% 17.58/12.73 tff(34455,plain,
% 17.58/12.73 ((~(v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167)))))) | (~v163(constB167)) | (~((~v128(constB167)) | (~v139(constB167))))),
% 17.58/12.73 inference(tautology,[status(thm)],[])).
% 17.58/12.73 tff(34456,plain,
% 17.58/12.73 (~v163(constB167)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34455, 34454, 34390])).
% 17.58/12.73 tff(34457,plain,
% 17.58/12.73 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v130(constB167)) | (~v155(constB167)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v130(constB167)) | (~v155(constB167))))))),
% 17.58/12.73 inference(rewrite,[status(thm)],[])).
% 17.58/12.73 tff(34458,plain,
% 17.58/12.73 ((v164(constB167) <=> (~((~v155(constB167)) | (~v130(constB167))))) <=> (v164(constB167) <=> (~((~v130(constB167)) | (~v155(constB167)))))),
% 17.58/12.73 inference(rewrite,[status(thm)],[])).
% 17.58/12.73 tff(34459,plain,
% 17.58/12.73 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v155(constB167)) | (~v130(constB167)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v130(constB167)) | (~v155(constB167))))))),
% 17.58/12.73 inference(monotonicity,[status(thm)],[34458])).
% 17.58/12.73 tff(34460,plain,
% 17.58/12.73 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v155(constB167)) | (~v130(constB167)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v130(constB167)) | (~v155(constB167))))))),
% 17.58/12.73 inference(transitivity,[status(thm)],[34459, 34457])).
% 17.58/12.73 tff(34461,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v155(constB167)) | (~v130(constB167)))))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34462,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v130(constB167)) | (~v155(constB167)))))),
% 17.58/12.73 inference(modus_ponens,[status(thm)],[34461, 34460])).
% 17.58/12.73 tff(34463,plain,
% 17.58/12.73 (v164(constB167) <=> (~((~v130(constB167)) | (~v155(constB167))))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34462, 96])).
% 17.58/12.73 tff(34464,plain,
% 17.58/12.73 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB167) <=> v152(constB167))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34465,plain,
% 17.58/12.73 (v130(constB167) <=> v152(constB167)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34464, 361])).
% 17.58/12.73 tff(34466,plain,
% 17.58/12.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB166, constB167)) | (v152(constB167) <=> v150(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB166, constB167)) | (v152(constB167) <=> v150(constB166)))),
% 17.58/12.73 inference(rewrite,[status(thm)],[])).
% 17.58/12.73 tff(34467,plain,
% 17.58/12.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB166, constB167)) | (v152(constB167) <=> v150(constB166)))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34468,plain,
% 17.58/12.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB166, constB167)) | (v152(constB167) <=> v150(constB166))),
% 17.58/12.73 inference(modus_ponens,[status(thm)],[34467, 34466])).
% 17.58/12.73 tff(34469,plain,
% 17.58/12.73 (v152(constB167) <=> v150(constB166)),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34468, 14255, 373])).
% 17.58/12.73 tff(34470,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB166) <=> (v153(constB166) | v154(constB166)))),
% 17.58/12.73 inference(quant_inst,[status(thm)],[])).
% 17.58/12.73 tff(34471,plain,
% 17.58/12.73 (v150(constB166) <=> (v153(constB166) | v154(constB166))),
% 17.58/12.73 inference(unit_resolution,[status(thm)],[34470, 387])).
% 17.58/12.73 tff(34472,plain,
% 17.58/12.73 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB166) <=> (~((~v132(constB166)) | (~v155(constB166)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB166) <=> (~((~v132(constB166)) | (~v155(constB166))))))),
% 17.58/12.73 inference(rewrite,[status(thm)],[])).
% 17.58/12.73 tff(34473,plain,
% 17.58/12.73 ((v154(constB166) <=> (~((~v155(constB166)) | (~v132(constB166))))) <=> (v154(constB166) <=> (~((~v132(constB166)) | (~v155(constB166)))))),
% 17.58/12.73 inference(rewrite,[status(thm)],[])).
% 17.58/12.73 tff(34474,plain,
% 17.58/12.73 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB166) <=> (~((~v155(constB166)) | (~v132(constB166)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB166) <=> (~((~v132(constB166)) | (~v155(constB166))))))),
% 17.58/12.73 inference(monotonicity,[status(thm)],[34473])).
% 17.58/12.73 tff(34475,plain,
% 17.58/12.73 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB166) <=> (~((~v155(constB166)) | (~v132(constB166)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB166) <=> (~((~v132(constB166)) | (~v155(constB166))))))),
% 17.58/12.73 inference(transitivity,[status(thm)],[34474, 34472])).
% 17.58/12.73 tff(34476,plain,
% 17.58/12.73 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB166) <=> (~((~v155(constB166)) | (~v132(constB166)))))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34477,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB166) <=> (~((~v132(constB166)) | (~v155(constB166)))))),
% 17.58/12.74 inference(modus_ponens,[status(thm)],[34476, 34475])).
% 17.58/12.74 tff(34478,plain,
% 17.58/12.74 (v154(constB166) <=> (~((~v132(constB166)) | (~v155(constB166))))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34477, 399])).
% 17.58/12.74 tff(34479,plain,
% 17.58/12.74 (((~v132(constB166)) | (~v155(constB166))) | v155(constB166)),
% 17.58/12.74 inference(tautology,[status(thm)],[])).
% 17.58/12.74 tff(34480,plain,
% 17.58/12.74 ((~v132(constB166)) | (~v155(constB166))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34479, 14295])).
% 17.58/12.74 tff(34481,plain,
% 17.58/12.74 ((~(v154(constB166) <=> (~((~v132(constB166)) | (~v155(constB166)))))) | (~v154(constB166)) | (~((~v132(constB166)) | (~v155(constB166))))),
% 17.58/12.74 inference(tautology,[status(thm)],[])).
% 17.58/12.74 tff(34482,plain,
% 17.58/12.74 (~v154(constB166)),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34481, 34480, 34478])).
% 17.58/12.74 tff(34483,plain,
% 17.58/12.74 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB166) <=> (~((~v130(constB166)) | (~v139(constB166)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB166) <=> (~((~v130(constB166)) | (~v139(constB166))))))),
% 17.58/12.74 inference(rewrite,[status(thm)],[])).
% 17.58/12.74 tff(34484,plain,
% 17.58/12.74 ((v153(constB166) <=> (~((~v139(constB166)) | (~v130(constB166))))) <=> (v153(constB166) <=> (~((~v130(constB166)) | (~v139(constB166)))))),
% 17.58/12.74 inference(rewrite,[status(thm)],[])).
% 17.58/12.74 tff(34485,plain,
% 17.58/12.74 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB166) <=> (~((~v139(constB166)) | (~v130(constB166)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB166) <=> (~((~v130(constB166)) | (~v139(constB166))))))),
% 17.58/12.74 inference(monotonicity,[status(thm)],[34484])).
% 17.58/12.74 tff(34486,plain,
% 17.58/12.74 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB166) <=> (~((~v139(constB166)) | (~v130(constB166)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB166) <=> (~((~v130(constB166)) | (~v139(constB166))))))),
% 17.58/12.74 inference(transitivity,[status(thm)],[34485, 34483])).
% 17.58/12.74 tff(34487,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB166) <=> (~((~v139(constB166)) | (~v130(constB166)))))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34488,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB166) <=> (~((~v130(constB166)) | (~v139(constB166)))))),
% 17.58/12.74 inference(modus_ponens,[status(thm)],[34487, 34486])).
% 17.58/12.74 tff(34489,plain,
% 17.58/12.74 (v153(constB166) <=> (~((~v130(constB166)) | (~v139(constB166))))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34488, 447])).
% 17.58/12.74 tff(34490,plain,
% 17.58/12.74 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB166) <=> v152(constB166))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34491,plain,
% 17.58/12.74 (v130(constB166) <=> v152(constB166)),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34490, 361])).
% 17.58/12.74 tff(34492,plain,
% 17.58/12.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB165, constB166)) | (v152(constB166) <=> v150(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB165, constB166)) | (v152(constB166) <=> v150(constB165)))),
% 17.58/12.74 inference(rewrite,[status(thm)],[])).
% 17.58/12.74 tff(34493,plain,
% 17.58/12.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB165, constB166)) | (v152(constB166) <=> v150(constB165)))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34494,plain,
% 17.58/12.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB165, constB166)) | (v152(constB166) <=> v150(constB165))),
% 17.58/12.74 inference(modus_ponens,[status(thm)],[34493, 34492])).
% 17.58/12.74 tff(34495,plain,
% 17.58/12.74 (v152(constB166) <=> v150(constB165)),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34494, 14311, 373])).
% 17.58/12.74 tff(34496,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB165) <=> (v153(constB165) | v154(constB165)))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34497,plain,
% 17.58/12.74 (v150(constB165) <=> (v153(constB165) | v154(constB165))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34496, 387])).
% 17.58/12.74 tff(34498,plain,
% 17.58/12.74 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB165) <=> (~((~v130(constB165)) | (~v139(constB165)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB165) <=> (~((~v130(constB165)) | (~v139(constB165))))))),
% 17.58/12.74 inference(rewrite,[status(thm)],[])).
% 17.58/12.74 tff(34499,plain,
% 17.58/12.74 ((v153(constB165) <=> (~((~v139(constB165)) | (~v130(constB165))))) <=> (v153(constB165) <=> (~((~v130(constB165)) | (~v139(constB165)))))),
% 17.58/12.74 inference(rewrite,[status(thm)],[])).
% 17.58/12.74 tff(34500,plain,
% 17.58/12.74 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB165) <=> (~((~v139(constB165)) | (~v130(constB165)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB165) <=> (~((~v130(constB165)) | (~v139(constB165))))))),
% 17.58/12.74 inference(monotonicity,[status(thm)],[34499])).
% 17.58/12.74 tff(34501,plain,
% 17.58/12.74 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB165) <=> (~((~v139(constB165)) | (~v130(constB165)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB165) <=> (~((~v130(constB165)) | (~v139(constB165))))))),
% 17.58/12.74 inference(transitivity,[status(thm)],[34500, 34498])).
% 17.58/12.74 tff(34502,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB165) <=> (~((~v139(constB165)) | (~v130(constB165)))))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34503,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB165) <=> (~((~v130(constB165)) | (~v139(constB165)))))),
% 17.58/12.74 inference(modus_ponens,[status(thm)],[34502, 34501])).
% 17.58/12.74 tff(34504,plain,
% 17.58/12.74 (v153(constB165) <=> (~((~v130(constB165)) | (~v139(constB165))))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34503, 447])).
% 17.58/12.74 tff(34505,plain,
% 17.58/12.74 (((~v130(constB165)) | (~v139(constB165))) | v139(constB165)),
% 17.58/12.74 inference(tautology,[status(thm)],[])).
% 17.58/12.74 tff(34506,plain,
% 17.58/12.74 ((~v130(constB165)) | (~v139(constB165))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34505, 14389])).
% 17.58/12.74 tff(34507,plain,
% 17.58/12.74 ((~(v153(constB165) <=> (~((~v130(constB165)) | (~v139(constB165)))))) | (~v153(constB165)) | (~((~v130(constB165)) | (~v139(constB165))))),
% 17.58/12.74 inference(tautology,[status(thm)],[])).
% 17.58/12.74 tff(34508,plain,
% 17.58/12.74 (~v153(constB165)),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34507, 34506, 34504])).
% 17.58/12.74 tff(34509,plain,
% 17.58/12.74 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB165) <=> (~((~v132(constB165)) | (~v155(constB165)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB165) <=> (~((~v132(constB165)) | (~v155(constB165))))))),
% 17.58/12.74 inference(rewrite,[status(thm)],[])).
% 17.58/12.74 tff(34510,plain,
% 17.58/12.74 ((v154(constB165) <=> (~((~v155(constB165)) | (~v132(constB165))))) <=> (v154(constB165) <=> (~((~v132(constB165)) | (~v155(constB165)))))),
% 17.58/12.74 inference(rewrite,[status(thm)],[])).
% 17.58/12.74 tff(34511,plain,
% 17.58/12.74 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB165) <=> (~((~v155(constB165)) | (~v132(constB165)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB165) <=> (~((~v132(constB165)) | (~v155(constB165))))))),
% 17.58/12.74 inference(monotonicity,[status(thm)],[34510])).
% 17.58/12.74 tff(34512,plain,
% 17.58/12.74 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB165) <=> (~((~v155(constB165)) | (~v132(constB165)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB165) <=> (~((~v132(constB165)) | (~v155(constB165))))))),
% 17.58/12.74 inference(transitivity,[status(thm)],[34511, 34509])).
% 17.58/12.74 tff(34513,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB165) <=> (~((~v155(constB165)) | (~v132(constB165)))))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34514,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB165) <=> (~((~v132(constB165)) | (~v155(constB165)))))),
% 17.58/12.74 inference(modus_ponens,[status(thm)],[34513, 34512])).
% 17.58/12.74 tff(34515,plain,
% 17.58/12.74 (v154(constB165) <=> (~((~v132(constB165)) | (~v155(constB165))))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34514, 399])).
% 17.58/12.74 tff(34516,plain,
% 17.58/12.74 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB165) <=> v137(constB165))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34517,plain,
% 17.58/12.74 (v132(constB165) <=> v137(constB165)),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34516, 558])).
% 17.58/12.74 tff(34518,plain,
% 17.58/12.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB164, constB165)) | (v137(constB165) <=> v135(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB164, constB165)) | (v137(constB165) <=> v135(constB164)))),
% 17.58/12.74 inference(rewrite,[status(thm)],[])).
% 17.58/12.74 tff(34519,plain,
% 17.58/12.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB164, constB165)) | (v137(constB165) <=> v135(constB164)))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34520,plain,
% 17.58/12.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB164, constB165)) | (v137(constB165) <=> v135(constB164))),
% 17.58/12.74 inference(modus_ponens,[status(thm)],[34519, 34518])).
% 17.58/12.74 tff(34521,plain,
% 17.58/12.74 (v137(constB165) <=> v135(constB164)),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34520, 14405, 570])).
% 17.58/12.74 tff(34522,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB164) <=> (v138(constB164) | v142(constB164)))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34523,plain,
% 17.58/12.74 (v135(constB164) <=> (v138(constB164) | v142(constB164))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34522, 584])).
% 17.58/12.74 tff(34524,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB164) <=> (~((~v143(constB164)) | (~v144(constB164)))))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34525,plain,
% 17.58/12.74 (v142(constB164) <=> (~((~v143(constB164)) | (~v144(constB164))))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34524, 596])).
% 17.58/12.74 tff(34526,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB164) <=> (~((~v141(constB164)) | (~v145(constB164)))))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34527,plain,
% 17.58/12.74 (v144(constB164) <=> (~((~v141(constB164)) | (~v145(constB164))))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34526, 608])).
% 17.58/12.74 tff(34528,plain,
% 17.58/12.74 (((~v141(constB164)) | (~v145(constB164))) | v141(constB164)),
% 17.58/12.74 inference(tautology,[status(thm)],[])).
% 17.58/12.74 tff(34529,plain,
% 17.58/12.74 ((~v141(constB164)) | (~v145(constB164))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34528, 14440])).
% 17.58/12.74 tff(34530,plain,
% 17.58/12.74 ((~(v144(constB164) <=> (~((~v141(constB164)) | (~v145(constB164)))))) | (~v144(constB164)) | (~((~v141(constB164)) | (~v145(constB164))))),
% 17.58/12.74 inference(tautology,[status(thm)],[])).
% 17.58/12.74 tff(34531,plain,
% 17.58/12.74 ((~(v144(constB164) <=> (~((~v141(constB164)) | (~v145(constB164)))))) | (~v144(constB164))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34530, 34529])).
% 17.58/12.74 tff(34532,plain,
% 17.58/12.74 (~v144(constB164)),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34531, 34527])).
% 17.58/12.74 tff(34533,plain,
% 17.58/12.74 (((~v143(constB164)) | (~v144(constB164))) | v144(constB164)),
% 17.58/12.74 inference(tautology,[status(thm)],[])).
% 17.58/12.74 tff(34534,plain,
% 17.58/12.74 ((~v143(constB164)) | (~v144(constB164))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34533, 34532])).
% 17.58/12.74 tff(34535,plain,
% 17.58/12.74 ((~(v142(constB164) <=> (~((~v143(constB164)) | (~v144(constB164)))))) | (~v142(constB164)) | (~((~v143(constB164)) | (~v144(constB164))))),
% 17.58/12.74 inference(tautology,[status(thm)],[])).
% 17.58/12.74 tff(34536,plain,
% 17.58/12.74 (~v142(constB164)),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34535, 34534, 34525])).
% 17.58/12.74 tff(34537,plain,
% 17.58/12.74 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164))))))),
% 17.58/12.74 inference(rewrite,[status(thm)],[])).
% 17.58/12.74 tff(34538,plain,
% 17.58/12.74 ((v138(constB164) <=> (~((~v139(constB164)) | (~v132(constB164))))) <=> (v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164)))))),
% 17.58/12.74 inference(rewrite,[status(thm)],[])).
% 17.58/12.74 tff(34539,plain,
% 17.58/12.74 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v139(constB164)) | (~v132(constB164)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164))))))),
% 17.58/12.74 inference(monotonicity,[status(thm)],[34538])).
% 17.58/12.74 tff(34540,plain,
% 17.58/12.74 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v139(constB164)) | (~v132(constB164)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164))))))),
% 17.58/12.74 inference(transitivity,[status(thm)],[34539, 34537])).
% 17.58/12.74 tff(34541,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v139(constB164)) | (~v132(constB164)))))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34542,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164)))))),
% 17.58/12.74 inference(modus_ponens,[status(thm)],[34541, 34540])).
% 17.58/12.74 tff(34543,plain,
% 17.58/12.74 (v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164))))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34542, 644])).
% 17.58/12.74 tff(34544,plain,
% 17.58/12.74 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB164) <=> v137(constB164))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34545,plain,
% 17.58/12.74 (v132(constB164) <=> v137(constB164)),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34544, 558])).
% 17.58/12.74 tff(34546,plain,
% 17.58/12.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB163, constB164)) | (v137(constB164) <=> v135(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB163, constB164)) | (v137(constB164) <=> v135(constB163)))),
% 17.58/12.74 inference(rewrite,[status(thm)],[])).
% 17.58/12.74 tff(34547,plain,
% 17.58/12.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB163, constB164)) | (v137(constB164) <=> v135(constB163)))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34548,plain,
% 17.58/12.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB163, constB164)) | (v137(constB164) <=> v135(constB163))),
% 17.58/12.74 inference(modus_ponens,[status(thm)],[34547, 34546])).
% 17.58/12.74 tff(34549,plain,
% 17.58/12.74 (v137(constB164) <=> v135(constB163)),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34548, 14461, 570])).
% 17.58/12.74 tff(34550,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB163) <=> (v138(constB163) | v142(constB163)))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34551,plain,
% 17.58/12.74 (v135(constB163) <=> (v138(constB163) | v142(constB163))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34550, 584])).
% 17.58/12.74 tff(34552,plain,
% 17.58/12.74 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163))))))),
% 17.58/12.74 inference(rewrite,[status(thm)],[])).
% 17.58/12.74 tff(34553,plain,
% 17.58/12.74 ((v138(constB163) <=> (~((~v139(constB163)) | (~v132(constB163))))) <=> (v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163)))))),
% 17.58/12.74 inference(rewrite,[status(thm)],[])).
% 17.58/12.74 tff(34554,plain,
% 17.58/12.74 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v139(constB163)) | (~v132(constB163)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163))))))),
% 17.58/12.74 inference(monotonicity,[status(thm)],[34553])).
% 17.58/12.74 tff(34555,plain,
% 17.58/12.74 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v139(constB163)) | (~v132(constB163)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163))))))),
% 17.58/12.74 inference(transitivity,[status(thm)],[34554, 34552])).
% 17.58/12.74 tff(34556,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v139(constB163)) | (~v132(constB163)))))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34557,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163)))))),
% 17.58/12.74 inference(modus_ponens,[status(thm)],[34556, 34555])).
% 17.58/12.74 tff(34558,plain,
% 17.58/12.74 (v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163))))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34557, 644])).
% 17.58/12.74 tff(34559,plain,
% 17.58/12.74 (((~v132(constB163)) | (~v139(constB163))) | v139(constB163)),
% 17.58/12.74 inference(tautology,[status(thm)],[])).
% 17.58/12.74 tff(34560,plain,
% 17.58/12.74 ((~v132(constB163)) | (~v139(constB163))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34559, 14539])).
% 17.58/12.74 tff(34561,plain,
% 17.58/12.74 ((~(v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163)))))) | (~v138(constB163)) | (~((~v132(constB163)) | (~v139(constB163))))),
% 17.58/12.74 inference(tautology,[status(thm)],[])).
% 17.58/12.74 tff(34562,plain,
% 17.58/12.74 (~v138(constB163)),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34561, 34560, 34558])).
% 17.58/12.74 tff(34563,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB163) <=> (~((~v143(constB163)) | (~v144(constB163)))))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34564,plain,
% 17.58/12.74 (v142(constB163) <=> (~((~v143(constB163)) | (~v144(constB163))))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34563, 596])).
% 17.58/12.74 tff(34565,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB163) <=> (~((~v141(constB163)) | (~v145(constB163)))))),
% 17.58/12.74 inference(quant_inst,[status(thm)],[])).
% 17.58/12.74 tff(34566,plain,
% 17.58/12.74 (v144(constB163) <=> (~((~v141(constB163)) | (~v145(constB163))))),
% 17.58/12.74 inference(unit_resolution,[status(thm)],[34565, 608])).
% 17.58/12.74 tff(34567,plain,
% 17.58/12.74 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB163) <=> (~(v84(constB163, 1) | v84(constB163, 2) | (~v84(constB163, 0)))))),
% 17.58/12.75 inference(quant_inst,[status(thm)],[])).
% 17.58/12.75 tff(34568,plain,
% 17.58/12.75 (v145(constB163) <=> (~(v84(constB163, 1) | v84(constB163, 2) | (~v84(constB163, 0))))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34567, 755])).
% 17.58/12.75 tff(34569,plain,
% 17.58/12.75 ((v84(constB163, 1) | v84(constB163, 2) | (~v84(constB163, 0))) | v84(constB163, 0)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34570,plain,
% 17.58/12.75 (v84(constB163, 1) | v84(constB163, 2) | (~v84(constB163, 0))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34569, 23150])).
% 17.58/12.75 tff(34571,plain,
% 17.58/12.75 ((~(v145(constB163) <=> (~(v84(constB163, 1) | v84(constB163, 2) | (~v84(constB163, 0)))))) | (~v145(constB163)) | (~(v84(constB163, 1) | v84(constB163, 2) | (~v84(constB163, 0))))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34572,plain,
% 17.58/12.75 (~v145(constB163)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34571, 34570, 34568])).
% 17.58/12.75 tff(34573,plain,
% 17.58/12.75 (((~v141(constB163)) | (~v145(constB163))) | v145(constB163)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34574,plain,
% 17.58/12.75 ((~v141(constB163)) | (~v145(constB163))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34573, 34572])).
% 17.58/12.75 tff(34575,plain,
% 17.58/12.75 ((~(v144(constB163) <=> (~((~v141(constB163)) | (~v145(constB163)))))) | (~v144(constB163)) | (~((~v141(constB163)) | (~v145(constB163))))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34576,plain,
% 17.58/12.75 (~v144(constB163)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34575, 34574, 34566])).
% 17.58/12.75 tff(34577,plain,
% 17.58/12.75 (((~v143(constB163)) | (~v144(constB163))) | v144(constB163)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34578,plain,
% 17.58/12.75 ((~v143(constB163)) | (~v144(constB163))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34577, 34576])).
% 17.58/12.75 tff(34579,plain,
% 17.58/12.75 ((~(v142(constB163) <=> (~((~v143(constB163)) | (~v144(constB163)))))) | (~v142(constB163)) | (~((~v143(constB163)) | (~v144(constB163))))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34580,plain,
% 17.58/12.75 (~v142(constB163)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34579, 34578, 34564])).
% 17.58/12.75 tff(34581,plain,
% 17.58/12.75 ((~(v138(constB163) | v142(constB163))) | v138(constB163) | v142(constB163)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34582,plain,
% 17.58/12.75 (~(v138(constB163) | v142(constB163))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34581, 34580, 34562])).
% 17.58/12.75 tff(34583,plain,
% 17.58/12.75 ((~(v135(constB163) <=> (v138(constB163) | v142(constB163)))) | (~v135(constB163)) | (v138(constB163) | v142(constB163))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34584,plain,
% 17.58/12.75 (~v135(constB163)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34583, 34582, 34551])).
% 17.58/12.75 tff(34585,plain,
% 17.58/12.75 ((~(v137(constB164) <=> v135(constB163))) | (~v137(constB164)) | v135(constB163)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34586,plain,
% 17.58/12.75 (~v137(constB164)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34585, 34584, 34549])).
% 17.58/12.75 tff(34587,plain,
% 17.58/12.75 ((~(v132(constB164) <=> v137(constB164))) | (~v132(constB164)) | v137(constB164)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34588,plain,
% 17.58/12.75 (~v132(constB164)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34587, 34586, 34545])).
% 17.58/12.75 tff(34589,plain,
% 17.58/12.75 (((~v132(constB164)) | (~v139(constB164))) | v132(constB164)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34590,plain,
% 17.58/12.75 ((~v132(constB164)) | (~v139(constB164))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34589, 34588])).
% 17.58/12.75 tff(34591,plain,
% 17.58/12.75 ((~(v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164)))))) | (~v138(constB164)) | (~((~v132(constB164)) | (~v139(constB164))))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34592,plain,
% 17.58/12.75 (~v138(constB164)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34591, 34590, 34543])).
% 17.58/12.75 tff(34593,plain,
% 17.58/12.75 ((~(v138(constB164) | v142(constB164))) | v138(constB164) | v142(constB164)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34594,plain,
% 17.58/12.75 (~(v138(constB164) | v142(constB164))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34593, 34592, 34536])).
% 17.58/12.75 tff(34595,plain,
% 17.58/12.75 ((~(v135(constB164) <=> (v138(constB164) | v142(constB164)))) | (~v135(constB164)) | (v138(constB164) | v142(constB164))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34596,plain,
% 17.58/12.75 (~v135(constB164)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34595, 34594, 34523])).
% 17.58/12.75 tff(34597,plain,
% 17.58/12.75 ((~(v137(constB165) <=> v135(constB164))) | (~v137(constB165)) | v135(constB164)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34598,plain,
% 17.58/12.75 (~v137(constB165)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34597, 34596, 34521])).
% 17.58/12.75 tff(34599,plain,
% 17.58/12.75 ((~(v132(constB165) <=> v137(constB165))) | (~v132(constB165)) | v137(constB165)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34600,plain,
% 17.58/12.75 (~v132(constB165)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34599, 34598, 34517])).
% 17.58/12.75 tff(34601,plain,
% 17.58/12.75 (((~v132(constB165)) | (~v155(constB165))) | v132(constB165)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34602,plain,
% 17.58/12.75 ((~v132(constB165)) | (~v155(constB165))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34601, 34600])).
% 17.58/12.75 tff(34603,plain,
% 17.58/12.75 ((~(v154(constB165) <=> (~((~v132(constB165)) | (~v155(constB165)))))) | (~v154(constB165)) | (~((~v132(constB165)) | (~v155(constB165))))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34604,plain,
% 17.58/12.75 (~v154(constB165)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34603, 34602, 34515])).
% 17.58/12.75 tff(34605,plain,
% 17.58/12.75 ((~(v153(constB165) | v154(constB165))) | v153(constB165) | v154(constB165)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34606,plain,
% 17.58/12.75 (~(v153(constB165) | v154(constB165))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34605, 34604, 34508])).
% 17.58/12.75 tff(34607,plain,
% 17.58/12.75 ((~(v150(constB165) <=> (v153(constB165) | v154(constB165)))) | (~v150(constB165)) | (v153(constB165) | v154(constB165))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34608,plain,
% 17.58/12.75 (~v150(constB165)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34607, 34606, 34497])).
% 17.58/12.75 tff(34609,plain,
% 17.58/12.75 ((~(v152(constB166) <=> v150(constB165))) | (~v152(constB166)) | v150(constB165)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34610,plain,
% 17.58/12.75 (~v152(constB166)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34609, 34608, 34495])).
% 17.58/12.75 tff(34611,plain,
% 17.58/12.75 ((~(v130(constB166) <=> v152(constB166))) | (~v130(constB166)) | v152(constB166)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34612,plain,
% 17.58/12.75 (~v130(constB166)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34611, 34610, 34491])).
% 17.58/12.75 tff(34613,plain,
% 17.58/12.75 (((~v130(constB166)) | (~v139(constB166))) | v130(constB166)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34614,plain,
% 17.58/12.75 ((~v130(constB166)) | (~v139(constB166))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34613, 34612])).
% 17.58/12.75 tff(34615,plain,
% 17.58/12.75 ((~(v153(constB166) <=> (~((~v130(constB166)) | (~v139(constB166)))))) | (~v153(constB166)) | (~((~v130(constB166)) | (~v139(constB166))))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34616,plain,
% 17.58/12.75 (~v153(constB166)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34615, 34614, 34489])).
% 17.58/12.75 tff(34617,plain,
% 17.58/12.75 ((~(v153(constB166) | v154(constB166))) | v153(constB166) | v154(constB166)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34618,plain,
% 17.58/12.75 (~(v153(constB166) | v154(constB166))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34617, 34616, 34482])).
% 17.58/12.75 tff(34619,plain,
% 17.58/12.75 ((~(v150(constB166) <=> (v153(constB166) | v154(constB166)))) | (~v150(constB166)) | (v153(constB166) | v154(constB166))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34620,plain,
% 17.58/12.75 (~v150(constB166)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34619, 34618, 34471])).
% 17.58/12.75 tff(34621,plain,
% 17.58/12.75 ((~(v152(constB167) <=> v150(constB166))) | (~v152(constB167)) | v150(constB166)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34622,plain,
% 17.58/12.75 (~v152(constB167)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34621, 34620, 34469])).
% 17.58/12.75 tff(34623,plain,
% 17.58/12.75 ((~(v130(constB167) <=> v152(constB167))) | (~v130(constB167)) | v152(constB167)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34624,plain,
% 17.58/12.75 (~v130(constB167)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34623, 34622, 34465])).
% 17.58/12.75 tff(34625,plain,
% 17.58/12.75 (((~v130(constB167)) | (~v155(constB167))) | v130(constB167)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34626,plain,
% 17.58/12.75 ((~v130(constB167)) | (~v155(constB167))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34625, 34624])).
% 17.58/12.75 tff(34627,plain,
% 17.58/12.75 ((~(v164(constB167) <=> (~((~v130(constB167)) | (~v155(constB167)))))) | (~v164(constB167)) | (~((~v130(constB167)) | (~v155(constB167))))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34628,plain,
% 17.58/12.75 (~v164(constB167)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34627, 34626, 34463])).
% 17.58/12.75 tff(34629,plain,
% 17.58/12.75 ((~(v163(constB167) | v164(constB167))) | v163(constB167) | v164(constB167)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34630,plain,
% 17.58/12.75 (~(v163(constB167) | v164(constB167))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34629, 34628, 34456])).
% 17.58/12.75 tff(34631,plain,
% 17.58/12.75 ((~(v160(constB167) <=> (v163(constB167) | v164(constB167)))) | (~v160(constB167)) | (v163(constB167) | v164(constB167))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34632,plain,
% 17.58/12.75 (~v160(constB167)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34631, 34630, 34383])).
% 17.58/12.75 tff(34633,plain,
% 17.58/12.75 ((~(v162(constB168) <=> v160(constB167))) | (~v162(constB168)) | v160(constB167)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34634,plain,
% 17.58/12.75 (~v162(constB168)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34633, 34632, 34381])).
% 17.58/12.75 tff(34635,plain,
% 17.58/12.75 ((~(v128(constB168) <=> v162(constB168))) | (~v128(constB168)) | v162(constB168)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34636,plain,
% 17.58/12.75 (~v128(constB168)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34635, 34634, 34377])).
% 17.58/12.75 tff(34637,plain,
% 17.58/12.75 (((~v128(constB168)) | (~v139(constB168))) | v128(constB168)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34638,plain,
% 17.58/12.75 ((~v128(constB168)) | (~v139(constB168))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34637, 34636])).
% 17.58/12.75 tff(34639,plain,
% 17.58/12.75 ((~(v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168)))))) | (~v163(constB168)) | (~((~v128(constB168)) | (~v139(constB168))))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34640,plain,
% 17.58/12.75 (~v163(constB168)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34639, 34638, 34375])).
% 17.58/12.75 tff(34641,plain,
% 17.58/12.75 ((~(v163(constB168) | v164(constB168))) | v163(constB168) | v164(constB168)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34642,plain,
% 17.58/12.75 (~(v163(constB168) | v164(constB168))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34641, 34640, 34368])).
% 17.58/12.75 tff(34643,plain,
% 17.58/12.75 ((~(v160(constB168) <=> (v163(constB168) | v164(constB168)))) | (~v160(constB168)) | (v163(constB168) | v164(constB168))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34644,plain,
% 17.58/12.75 (~v160(constB168)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34643, 34642, 34333])).
% 17.58/12.75 tff(34645,plain,
% 17.58/12.75 ((~(v162(constB169) <=> v160(constB168))) | (~v162(constB169)) | v160(constB168)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34646,plain,
% 17.58/12.75 (~v162(constB169)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34645, 34644, 34331])).
% 17.58/12.75 tff(34647,plain,
% 17.58/12.75 ($false),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34646, 34327])).
% 17.58/12.75 tff(34648,plain,(~(constB169 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.58/12.75 tff(34649,assumption,(constB79 = VarCurr!0), introduced(assumption)).
% 17.58/12.75 tff(34650,plain,
% 17.58/12.75 (v162(constB79) <=> v162(VarCurr!0)),
% 17.58/12.75 inference(monotonicity,[status(thm)],[34649])).
% 17.58/12.75 tff(34651,plain,
% 17.58/12.75 (v162(VarCurr!0) <=> v162(constB79)),
% 17.58/12.75 inference(symmetry,[status(thm)],[34650])).
% 17.58/12.75 tff(34652,plain,
% 17.58/12.75 (v162(constB79)),
% 17.58/12.75 inference(modus_ponens,[status(thm)],[59, 34651])).
% 17.58/12.75 tff(34653,plain,
% 17.58/12.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB78, constB79)) | (v162(constB79) <=> v160(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB78, constB79)) | (v162(constB79) <=> v160(constB78)))),
% 17.58/12.75 inference(rewrite,[status(thm)],[])).
% 17.58/12.75 tff(34654,plain,
% 17.58/12.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB78, constB79)) | (v162(constB79) <=> v160(constB78)))),
% 17.58/12.75 inference(quant_inst,[status(thm)],[])).
% 17.58/12.75 tff(34655,plain,
% 17.58/12.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB78, constB79)) | (v162(constB79) <=> v160(constB78))),
% 17.58/12.75 inference(modus_ponens,[status(thm)],[34654, 34653])).
% 17.58/12.75 tff(34656,plain,
% 17.58/12.75 (v162(constB79) <=> v160(constB78)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34655, 7017, 70])).
% 17.58/12.75 tff(34657,plain,
% 17.58/12.75 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB78) <=> (v163(constB78) | v164(constB78)))),
% 17.58/12.75 inference(quant_inst,[status(thm)],[])).
% 17.58/12.75 tff(34658,plain,
% 17.58/12.75 (v160(constB78) <=> (v163(constB78) | v164(constB78))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34657, 84])).
% 17.58/12.75 tff(34659,plain,
% 17.58/12.75 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v130(constB78)) | (~v155(constB78)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v130(constB78)) | (~v155(constB78))))))),
% 17.58/12.75 inference(rewrite,[status(thm)],[])).
% 17.58/12.75 tff(34660,plain,
% 17.58/12.75 ((v164(constB78) <=> (~((~v155(constB78)) | (~v130(constB78))))) <=> (v164(constB78) <=> (~((~v130(constB78)) | (~v155(constB78)))))),
% 17.58/12.75 inference(rewrite,[status(thm)],[])).
% 17.58/12.75 tff(34661,plain,
% 17.58/12.75 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v155(constB78)) | (~v130(constB78)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v130(constB78)) | (~v155(constB78))))))),
% 17.58/12.75 inference(monotonicity,[status(thm)],[34660])).
% 17.58/12.75 tff(34662,plain,
% 17.58/12.75 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v155(constB78)) | (~v130(constB78)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v130(constB78)) | (~v155(constB78))))))),
% 17.58/12.75 inference(transitivity,[status(thm)],[34661, 34659])).
% 17.58/12.75 tff(34663,plain,
% 17.58/12.75 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v155(constB78)) | (~v130(constB78)))))),
% 17.58/12.75 inference(quant_inst,[status(thm)],[])).
% 17.58/12.75 tff(34664,plain,
% 17.58/12.75 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v130(constB78)) | (~v155(constB78)))))),
% 17.58/12.75 inference(modus_ponens,[status(thm)],[34663, 34662])).
% 17.58/12.75 tff(34665,plain,
% 17.58/12.75 (v164(constB78) <=> (~((~v130(constB78)) | (~v155(constB78))))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34664, 96])).
% 17.58/12.75 tff(34666,plain,
% 17.58/12.75 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB78) <=> (~((~v141(constB78)) | (~v143(constB78)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB78) <=> (~((~v141(constB78)) | (~v143(constB78))))))),
% 17.58/12.75 inference(rewrite,[status(thm)],[])).
% 17.58/12.75 tff(34667,plain,
% 17.58/12.75 ((v155(constB78) <=> (~((~v143(constB78)) | (~v141(constB78))))) <=> (v155(constB78) <=> (~((~v141(constB78)) | (~v143(constB78)))))),
% 17.58/12.75 inference(rewrite,[status(thm)],[])).
% 17.58/12.75 tff(34668,plain,
% 17.58/12.75 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB78) <=> (~((~v143(constB78)) | (~v141(constB78)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB78) <=> (~((~v141(constB78)) | (~v143(constB78))))))),
% 17.58/12.75 inference(monotonicity,[status(thm)],[34667])).
% 17.58/12.75 tff(34669,plain,
% 17.58/12.75 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB78) <=> (~((~v143(constB78)) | (~v141(constB78)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB78) <=> (~((~v141(constB78)) | (~v143(constB78))))))),
% 17.58/12.75 inference(transitivity,[status(thm)],[34668, 34666])).
% 17.58/12.75 tff(34670,plain,
% 17.58/12.75 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB78) <=> (~((~v143(constB78)) | (~v141(constB78)))))),
% 17.58/12.75 inference(quant_inst,[status(thm)],[])).
% 17.58/12.75 tff(34671,plain,
% 17.58/12.75 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB78) <=> (~((~v141(constB78)) | (~v143(constB78)))))),
% 17.58/12.75 inference(modus_ponens,[status(thm)],[34670, 34669])).
% 17.58/12.75 tff(34672,plain,
% 17.58/12.75 (v155(constB78) <=> (~((~v141(constB78)) | (~v143(constB78))))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34671, 113])).
% 17.58/12.75 tff(34673,plain,
% 17.58/12.75 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))),
% 17.58/12.75 inference(quant_inst,[status(thm)],[])).
% 17.58/12.75 tff(34674,plain,
% 17.58/12.75 (v141(constB78) <=> (~((~v39(constB78)) | (~v9(constB78))))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34673, 130])).
% 17.58/12.75 tff(34675,plain,
% 17.58/12.75 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB78)) <=> v1(constB78))),
% 17.58/12.75 inference(quant_inst,[status(thm)],[])).
% 17.58/12.75 tff(34676,plain,
% 17.58/12.75 ((~v39(constB78)) <=> v1(constB78)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34675, 139])).
% 17.58/12.75 tff(34677,plain,
% 17.58/12.75 ((~((~v39(constB78)) <=> v1(constB78))) | (~v39(constB78)) | (~v1(constB78))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34678,plain,
% 17.58/12.75 ((~((~v39(constB78)) <=> v1(constB78))) | (~v39(constB78))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34677, 10905])).
% 17.58/12.75 tff(34679,plain,
% 17.58/12.75 (~v39(constB78)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34678, 34676])).
% 17.58/12.75 tff(34680,plain,
% 17.58/12.75 (((~v39(constB78)) | (~v9(constB78))) | v39(constB78)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34681,plain,
% 17.58/12.75 ((~v39(constB78)) | (~v9(constB78))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34680, 34679])).
% 17.58/12.75 tff(34682,plain,
% 17.58/12.75 ((~(v141(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))) | (~v141(constB78)) | (~((~v39(constB78)) | (~v9(constB78))))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34683,plain,
% 17.58/12.75 ((~(v141(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))) | (~v141(constB78))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34682, 34681])).
% 17.58/12.75 tff(34684,plain,
% 17.58/12.75 (~v141(constB78)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34683, 34674])).
% 17.58/12.75 tff(34685,plain,
% 17.58/12.75 (((~v141(constB78)) | (~v143(constB78))) | v141(constB78)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34686,plain,
% 17.58/12.75 ((~v141(constB78)) | (~v143(constB78))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34685, 34684])).
% 17.58/12.75 tff(34687,plain,
% 17.58/12.75 ((~(v155(constB78) <=> (~((~v141(constB78)) | (~v143(constB78)))))) | (~v155(constB78)) | (~((~v141(constB78)) | (~v143(constB78))))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34688,plain,
% 17.58/12.75 ((~(v155(constB78) <=> (~((~v141(constB78)) | (~v143(constB78)))))) | (~v155(constB78))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34687, 34686])).
% 17.58/12.75 tff(34689,plain,
% 17.58/12.75 (~v155(constB78)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34688, 34672])).
% 17.58/12.75 tff(34690,plain,
% 17.58/12.75 (((~v130(constB78)) | (~v155(constB78))) | v155(constB78)),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34691,plain,
% 17.58/12.75 ((~v130(constB78)) | (~v155(constB78))),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34690, 34689])).
% 17.58/12.75 tff(34692,plain,
% 17.58/12.75 ((~(v164(constB78) <=> (~((~v130(constB78)) | (~v155(constB78)))))) | (~v164(constB78)) | (~((~v130(constB78)) | (~v155(constB78))))),
% 17.58/12.75 inference(tautology,[status(thm)],[])).
% 17.58/12.75 tff(34693,plain,
% 17.58/12.75 (~v164(constB78)),
% 17.58/12.75 inference(unit_resolution,[status(thm)],[34692, 34691, 34665])).
% 17.58/12.75 tff(34694,plain,
% 17.58/12.75 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78))))))),
% 17.58/12.76 inference(rewrite,[status(thm)],[])).
% 17.58/12.76 tff(34695,plain,
% 17.58/12.76 ((v163(constB78) <=> (~((~v139(constB78)) | (~v128(constB78))))) <=> (v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78)))))),
% 17.58/12.76 inference(rewrite,[status(thm)],[])).
% 17.58/12.76 tff(34696,plain,
% 17.58/12.76 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v139(constB78)) | (~v128(constB78)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78))))))),
% 17.58/12.76 inference(monotonicity,[status(thm)],[34695])).
% 17.58/12.76 tff(34697,plain,
% 17.58/12.76 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v139(constB78)) | (~v128(constB78)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78))))))),
% 17.58/12.76 inference(transitivity,[status(thm)],[34696, 34694])).
% 17.58/12.76 tff(34698,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v139(constB78)) | (~v128(constB78)))))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34699,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78)))))),
% 17.58/12.76 inference(modus_ponens,[status(thm)],[34698, 34697])).
% 17.58/12.76 tff(34700,plain,
% 17.58/12.76 (v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78))))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34699, 171])).
% 17.58/12.76 tff(34701,plain,
% 17.58/12.76 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB78) <=> v162(constB78))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34702,plain,
% 17.58/12.76 (v128(constB78) <=> v162(constB78)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34701, 13])).
% 17.58/12.76 tff(34703,plain,
% 17.58/12.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB77, constB78)) | (v162(constB78) <=> v160(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB77, constB78)) | (v162(constB78) <=> v160(constB77)))),
% 17.58/12.76 inference(rewrite,[status(thm)],[])).
% 17.58/12.76 tff(34704,plain,
% 17.58/12.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB77, constB78)) | (v162(constB78) <=> v160(constB77)))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34705,plain,
% 17.58/12.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB77, constB78)) | (v162(constB78) <=> v160(constB77))),
% 17.58/12.76 inference(modus_ponens,[status(thm)],[34704, 34703])).
% 17.58/12.76 tff(34706,plain,
% 17.58/12.76 (v162(constB78) <=> v160(constB77)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34705, 7053, 70])).
% 17.58/12.76 tff(34707,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB77) <=> (v163(constB77) | v164(constB77)))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34708,plain,
% 17.58/12.76 (v160(constB77) <=> (v163(constB77) | v164(constB77))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34707, 84])).
% 17.58/12.76 tff(34709,plain,
% 17.58/12.76 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77))))))),
% 17.58/12.76 inference(rewrite,[status(thm)],[])).
% 17.58/12.76 tff(34710,plain,
% 17.58/12.76 ((v163(constB77) <=> (~((~v139(constB77)) | (~v128(constB77))))) <=> (v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77)))))),
% 17.58/12.76 inference(rewrite,[status(thm)],[])).
% 17.58/12.76 tff(34711,plain,
% 17.58/12.76 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v139(constB77)) | (~v128(constB77)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77))))))),
% 17.58/12.76 inference(monotonicity,[status(thm)],[34710])).
% 17.58/12.76 tff(34712,plain,
% 17.58/12.76 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v139(constB77)) | (~v128(constB77)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77))))))),
% 17.58/12.76 inference(transitivity,[status(thm)],[34711, 34709])).
% 17.58/12.76 tff(34713,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v139(constB77)) | (~v128(constB77)))))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34714,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77)))))),
% 17.58/12.76 inference(modus_ponens,[status(thm)],[34713, 34712])).
% 17.58/12.76 tff(34715,plain,
% 17.58/12.76 (v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77))))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34714, 171])).
% 17.58/12.76 tff(34716,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB77)) <=> v140(constB77))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34717,plain,
% 17.58/12.76 ((~v139(constB77)) <=> v140(constB77)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34716, 203])).
% 17.58/12.76 tff(34718,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB77) <=> (v141(constB77) | v26(constB77)))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34719,plain,
% 17.58/12.76 (v140(constB77) <=> (v141(constB77) | v26(constB77))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34718, 212])).
% 17.58/12.76 tff(34720,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB77) <=> (~((~v39(constB77)) | (~v9(constB77)))))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34721,plain,
% 17.58/12.76 (v141(constB77) <=> (~((~v39(constB77)) | (~v9(constB77))))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34720, 130])).
% 17.58/12.76 tff(34722,plain,
% 17.58/12.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77)))),
% 17.58/12.76 inference(rewrite,[status(thm)],[])).
% 17.58/12.76 tff(34723,plain,
% 17.58/12.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77)))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34724,plain,
% 17.58/12.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77))),
% 17.58/12.76 inference(modus_ponens,[status(thm)],[34723, 34722])).
% 17.58/12.76 tff(34725,plain,
% 17.58/12.76 (v13(constB78) <=> v9(constB77)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34724, 7053, 226])).
% 17.58/12.76 tff(34726,plain,
% 17.58/12.76 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB78) <=> v13(constB78))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34727,plain,
% 17.58/12.76 (v6(constB78) <=> v13(constB78)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34726, 240])).
% 17.58/12.76 tff(34728,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB78)) <=> v6(constB78))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34729,plain,
% 17.58/12.76 ((~v21(constB78)) <=> v6(constB78)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34728, 249])).
% 17.58/12.76 tff(34730,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB78) <=> (v20(constB78) | v21(constB78)))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34731,plain,
% 17.58/12.76 (v19(constB78) <=> (v20(constB78) | v21(constB78))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34730, 258])).
% 17.58/12.76 tff(34732,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB78) <=> (~((~v19(constB78)) | (~v22(constB78)))))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34733,plain,
% 17.58/12.76 (v18(constB78) <=> (~((~v19(constB78)) | (~v22(constB78))))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34732, 270])).
% 17.58/12.76 tff(34734,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB78)) <=> v18(constB78))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34735,plain,
% 17.58/12.76 ((~v4(constB78)) <=> v18(constB78)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34734, 279])).
% 17.58/12.76 tff(34736,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB78)),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34737,plain,
% 17.58/12.76 (v4(constB78)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34736, 288])).
% 17.58/12.76 tff(34738,plain,
% 17.58/12.76 ((~((~v4(constB78)) <=> v18(constB78))) | (~v4(constB78)) | (~v18(constB78))),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34739,plain,
% 17.58/12.76 (~v18(constB78)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34738, 34737, 34735])).
% 17.58/12.76 tff(34740,plain,
% 17.58/12.76 ((~(v18(constB78) <=> (~((~v19(constB78)) | (~v22(constB78)))))) | v18(constB78) | ((~v19(constB78)) | (~v22(constB78)))),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34741,plain,
% 17.58/12.76 ((~v19(constB78)) | (~v22(constB78))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34740, 34739, 34733])).
% 17.58/12.76 tff(34742,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB78) <=> (v1(constB78) | v6(constB78)))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34743,plain,
% 17.58/12.76 (v22(constB78) <=> (v1(constB78) | v6(constB78))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34742, 301])).
% 17.58/12.76 tff(34744,plain,
% 17.58/12.76 ((v1(constB78) | v6(constB78)) | (~v1(constB78))),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34745,plain,
% 17.58/12.76 (v1(constB78) | v6(constB78)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34744, 10905])).
% 17.58/12.76 tff(34746,plain,
% 17.58/12.76 ((~(v22(constB78) <=> (v1(constB78) | v6(constB78)))) | v22(constB78) | (~(v1(constB78) | v6(constB78)))),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34747,plain,
% 17.58/12.76 ((~(v22(constB78) <=> (v1(constB78) | v6(constB78)))) | v22(constB78)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34746, 34745])).
% 17.58/12.76 tff(34748,plain,
% 17.58/12.76 (v22(constB78)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34747, 34743])).
% 17.58/12.76 tff(34749,plain,
% 17.58/12.76 ((~((~v19(constB78)) | (~v22(constB78)))) | (~v19(constB78)) | (~v22(constB78))),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34750,plain,
% 17.58/12.76 ((~((~v19(constB78)) | (~v22(constB78)))) | (~v19(constB78))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34749, 34748])).
% 17.58/12.76 tff(34751,plain,
% 17.58/12.76 (~v19(constB78)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34750, 34741])).
% 17.58/12.76 tff(34752,plain,
% 17.58/12.76 ((~(v19(constB78) <=> (v20(constB78) | v21(constB78)))) | v19(constB78) | (~(v20(constB78) | v21(constB78)))),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34753,plain,
% 17.58/12.76 (~(v20(constB78) | v21(constB78))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34752, 34751, 34731])).
% 17.58/12.76 tff(34754,plain,
% 17.58/12.76 ((v20(constB78) | v21(constB78)) | (~v21(constB78))),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34755,plain,
% 17.58/12.76 (~v21(constB78)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34754, 34753])).
% 17.58/12.76 tff(34756,plain,
% 17.58/12.76 ((~((~v21(constB78)) <=> v6(constB78))) | v21(constB78) | v6(constB78)),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34757,plain,
% 17.58/12.76 (v6(constB78)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34756, 34755, 34729])).
% 17.58/12.76 tff(34758,plain,
% 17.58/12.76 ((~(v6(constB78) <=> v13(constB78))) | (~v6(constB78)) | v13(constB78)),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34759,plain,
% 17.58/12.76 (v13(constB78)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34758, 34757, 34727])).
% 17.58/12.76 tff(34760,plain,
% 17.58/12.76 ((~(v13(constB78) <=> v9(constB77))) | (~v13(constB78)) | v9(constB77)),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34761,plain,
% 17.58/12.76 (v9(constB77)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34760, 34759, 34725])).
% 17.58/12.76 tff(34762,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB77)) <=> v1(constB77))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34763,plain,
% 17.58/12.76 ((~v39(constB77)) <=> v1(constB77)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34762, 139])).
% 17.58/12.76 tff(34764,plain,
% 17.58/12.76 ((~((~v39(constB77)) <=> v1(constB77))) | v39(constB77) | v1(constB77)),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34765,plain,
% 17.58/12.76 ((~((~v39(constB77)) <=> v1(constB77))) | v39(constB77)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34764, 7092])).
% 17.58/12.76 tff(34766,plain,
% 17.58/12.76 (v39(constB77)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34765, 34763])).
% 17.58/12.76 tff(34767,plain,
% 17.58/12.76 ((~((~v39(constB77)) | (~v9(constB77)))) | (~v39(constB77)) | (~v9(constB77))),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34768,plain,
% 17.58/12.76 ((~((~v39(constB77)) | (~v9(constB77)))) | (~v9(constB77))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34767, 34766])).
% 17.58/12.76 tff(34769,plain,
% 17.58/12.76 (~((~v39(constB77)) | (~v9(constB77)))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34768, 34761])).
% 17.58/12.76 tff(34770,plain,
% 17.58/12.76 ((~(v141(constB77) <=> (~((~v39(constB77)) | (~v9(constB77)))))) | v141(constB77) | ((~v39(constB77)) | (~v9(constB77)))),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34771,plain,
% 17.58/12.76 (v141(constB77)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34770, 34769, 34721])).
% 17.58/12.76 tff(34772,plain,
% 17.58/12.76 ((v141(constB77) | v26(constB77)) | (~v141(constB77))),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34773,plain,
% 17.58/12.76 (v141(constB77) | v26(constB77)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34772, 34771])).
% 17.58/12.76 tff(34774,plain,
% 17.58/12.76 ((~(v140(constB77) <=> (v141(constB77) | v26(constB77)))) | v140(constB77) | (~(v141(constB77) | v26(constB77)))),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34775,plain,
% 17.58/12.76 (v140(constB77)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34774, 34773, 34719])).
% 17.58/12.76 tff(34776,plain,
% 17.58/12.76 ((~((~v139(constB77)) <=> v140(constB77))) | (~v139(constB77)) | (~v140(constB77))),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34777,plain,
% 17.58/12.76 (~v139(constB77)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34776, 34775, 34717])).
% 17.58/12.76 tff(34778,plain,
% 17.58/12.76 (((~v128(constB77)) | (~v139(constB77))) | v139(constB77)),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34779,plain,
% 17.58/12.76 ((~v128(constB77)) | (~v139(constB77))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34778, 34777])).
% 17.58/12.76 tff(34780,plain,
% 17.58/12.76 ((~(v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77)))))) | (~v163(constB77)) | (~((~v128(constB77)) | (~v139(constB77))))),
% 17.58/12.76 inference(tautology,[status(thm)],[])).
% 17.58/12.76 tff(34781,plain,
% 17.58/12.76 (~v163(constB77)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34780, 34779, 34715])).
% 17.58/12.76 tff(34782,plain,
% 17.58/12.76 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v130(constB77)) | (~v155(constB77)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v130(constB77)) | (~v155(constB77))))))),
% 17.58/12.76 inference(rewrite,[status(thm)],[])).
% 17.58/12.76 tff(34783,plain,
% 17.58/12.76 ((v164(constB77) <=> (~((~v155(constB77)) | (~v130(constB77))))) <=> (v164(constB77) <=> (~((~v130(constB77)) | (~v155(constB77)))))),
% 17.58/12.76 inference(rewrite,[status(thm)],[])).
% 17.58/12.76 tff(34784,plain,
% 17.58/12.76 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v155(constB77)) | (~v130(constB77)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v130(constB77)) | (~v155(constB77))))))),
% 17.58/12.76 inference(monotonicity,[status(thm)],[34783])).
% 17.58/12.76 tff(34785,plain,
% 17.58/12.76 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v155(constB77)) | (~v130(constB77)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v130(constB77)) | (~v155(constB77))))))),
% 17.58/12.76 inference(transitivity,[status(thm)],[34784, 34782])).
% 17.58/12.76 tff(34786,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v155(constB77)) | (~v130(constB77)))))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34787,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v130(constB77)) | (~v155(constB77)))))),
% 17.58/12.76 inference(modus_ponens,[status(thm)],[34786, 34785])).
% 17.58/12.76 tff(34788,plain,
% 17.58/12.76 (v164(constB77) <=> (~((~v130(constB77)) | (~v155(constB77))))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34787, 96])).
% 17.58/12.76 tff(34789,plain,
% 17.58/12.76 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB77) <=> v152(constB77))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34790,plain,
% 17.58/12.76 (v130(constB77) <=> v152(constB77)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34789, 361])).
% 17.58/12.76 tff(34791,plain,
% 17.58/12.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB76, constB77)) | (v152(constB77) <=> v150(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB76, constB77)) | (v152(constB77) <=> v150(constB76)))),
% 17.58/12.76 inference(rewrite,[status(thm)],[])).
% 17.58/12.76 tff(34792,plain,
% 17.58/12.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB76, constB77)) | (v152(constB77) <=> v150(constB76)))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34793,plain,
% 17.58/12.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB76, constB77)) | (v152(constB77) <=> v150(constB76))),
% 17.58/12.76 inference(modus_ponens,[status(thm)],[34792, 34791])).
% 17.58/12.76 tff(34794,plain,
% 17.58/12.76 (v152(constB77) <=> v150(constB76)),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34793, 7078, 373])).
% 17.58/12.76 tff(34795,plain,
% 17.58/12.76 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB76) <=> (v153(constB76) | v154(constB76)))),
% 17.58/12.76 inference(quant_inst,[status(thm)],[])).
% 17.58/12.76 tff(34796,plain,
% 17.58/12.76 (v150(constB76) <=> (v153(constB76) | v154(constB76))),
% 17.58/12.76 inference(unit_resolution,[status(thm)],[34795, 387])).
% 17.58/12.76 tff(34797,plain,
% 17.58/12.76 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB76) <=> (~((~v132(constB76)) | (~v155(constB76)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB76) <=> (~((~v132(constB76)) | (~v155(constB76))))))),
% 17.58/12.76 inference(rewrite,[status(thm)],[])).
% 17.58/12.76 tff(34798,plain,
% 17.58/12.76 ((v154(constB76) <=> (~((~v155(constB76)) | (~v132(constB76))))) <=> (v154(constB76) <=> (~((~v132(constB76)) | (~v155(constB76)))))),
% 17.58/12.77 inference(rewrite,[status(thm)],[])).
% 17.58/12.77 tff(34799,plain,
% 17.58/12.77 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB76) <=> (~((~v155(constB76)) | (~v132(constB76)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB76) <=> (~((~v132(constB76)) | (~v155(constB76))))))),
% 17.58/12.77 inference(monotonicity,[status(thm)],[34798])).
% 17.58/12.77 tff(34800,plain,
% 17.58/12.77 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB76) <=> (~((~v155(constB76)) | (~v132(constB76)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB76) <=> (~((~v132(constB76)) | (~v155(constB76))))))),
% 17.58/12.77 inference(transitivity,[status(thm)],[34799, 34797])).
% 17.58/12.77 tff(34801,plain,
% 17.58/12.77 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB76) <=> (~((~v155(constB76)) | (~v132(constB76)))))),
% 17.58/12.77 inference(quant_inst,[status(thm)],[])).
% 17.58/12.77 tff(34802,plain,
% 17.58/12.77 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB76) <=> (~((~v132(constB76)) | (~v155(constB76)))))),
% 17.58/12.77 inference(modus_ponens,[status(thm)],[34801, 34800])).
% 17.58/12.77 tff(34803,plain,
% 17.58/12.77 (v154(constB76) <=> (~((~v132(constB76)) | (~v155(constB76))))),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34802, 399])).
% 17.58/12.77 tff(34804,plain,
% 17.58/12.77 (((~v132(constB76)) | (~v155(constB76))) | v155(constB76)),
% 17.58/12.77 inference(tautology,[status(thm)],[])).
% 17.58/12.77 tff(34805,plain,
% 17.58/12.77 ((~v132(constB76)) | (~v155(constB76))),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34804, 28561])).
% 17.58/12.77 tff(34806,plain,
% 17.58/12.77 ((~(v154(constB76) <=> (~((~v132(constB76)) | (~v155(constB76)))))) | (~v154(constB76)) | (~((~v132(constB76)) | (~v155(constB76))))),
% 17.58/12.77 inference(tautology,[status(thm)],[])).
% 17.58/12.77 tff(34807,plain,
% 17.58/12.77 (~v154(constB76)),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34806, 34805, 34803])).
% 17.58/12.77 tff(34808,plain,
% 17.58/12.77 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB76) <=> (~((~v130(constB76)) | (~v139(constB76)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB76) <=> (~((~v130(constB76)) | (~v139(constB76))))))),
% 17.58/12.77 inference(rewrite,[status(thm)],[])).
% 17.58/12.77 tff(34809,plain,
% 17.58/12.77 ((v153(constB76) <=> (~((~v139(constB76)) | (~v130(constB76))))) <=> (v153(constB76) <=> (~((~v130(constB76)) | (~v139(constB76)))))),
% 17.58/12.77 inference(rewrite,[status(thm)],[])).
% 17.58/12.77 tff(34810,plain,
% 17.58/12.77 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB76) <=> (~((~v139(constB76)) | (~v130(constB76)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB76) <=> (~((~v130(constB76)) | (~v139(constB76))))))),
% 17.58/12.77 inference(monotonicity,[status(thm)],[34809])).
% 17.58/12.77 tff(34811,plain,
% 17.58/12.77 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB76) <=> (~((~v139(constB76)) | (~v130(constB76)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB76) <=> (~((~v130(constB76)) | (~v139(constB76))))))),
% 17.58/12.77 inference(transitivity,[status(thm)],[34810, 34808])).
% 17.58/12.77 tff(34812,plain,
% 17.58/12.77 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB76) <=> (~((~v139(constB76)) | (~v130(constB76)))))),
% 17.58/12.77 inference(quant_inst,[status(thm)],[])).
% 17.58/12.77 tff(34813,plain,
% 17.58/12.77 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB76) <=> (~((~v130(constB76)) | (~v139(constB76)))))),
% 17.58/12.77 inference(modus_ponens,[status(thm)],[34812, 34811])).
% 17.58/12.77 tff(34814,plain,
% 17.58/12.77 (v153(constB76) <=> (~((~v130(constB76)) | (~v139(constB76))))),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34813, 447])).
% 17.58/12.77 tff(34815,plain,
% 17.58/12.77 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB76) <=> v152(constB76))),
% 17.58/12.77 inference(quant_inst,[status(thm)],[])).
% 17.58/12.77 tff(34816,plain,
% 17.58/12.77 (v130(constB76) <=> v152(constB76)),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34815, 361])).
% 17.58/12.77 tff(34817,plain,
% 17.58/12.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB75, constB76)) | (v152(constB76) <=> v150(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB75, constB76)) | (v152(constB76) <=> v150(constB75)))),
% 17.58/12.77 inference(rewrite,[status(thm)],[])).
% 17.58/12.77 tff(34818,plain,
% 17.58/12.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB75, constB76)) | (v152(constB76) <=> v150(constB75)))),
% 17.58/12.77 inference(quant_inst,[status(thm)],[])).
% 17.58/12.77 tff(34819,plain,
% 17.58/12.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB75, constB76)) | (v152(constB76) <=> v150(constB75))),
% 17.58/12.77 inference(modus_ponens,[status(thm)],[34818, 34817])).
% 17.58/12.77 tff(34820,plain,
% 17.58/12.77 (v152(constB76) <=> v150(constB75)),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34819, 7114, 373])).
% 17.58/12.77 tff(34821,plain,
% 17.58/12.77 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB75) <=> (v153(constB75) | v154(constB75)))),
% 17.58/12.77 inference(quant_inst,[status(thm)],[])).
% 17.58/12.77 tff(34822,plain,
% 17.58/12.77 (v150(constB75) <=> (v153(constB75) | v154(constB75))),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34821, 387])).
% 17.58/12.77 tff(34823,plain,
% 17.58/12.77 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB75) <=> (~((~v130(constB75)) | (~v139(constB75)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB75) <=> (~((~v130(constB75)) | (~v139(constB75))))))),
% 17.58/12.77 inference(rewrite,[status(thm)],[])).
% 17.58/12.77 tff(34824,plain,
% 17.58/12.77 ((v153(constB75) <=> (~((~v139(constB75)) | (~v130(constB75))))) <=> (v153(constB75) <=> (~((~v130(constB75)) | (~v139(constB75)))))),
% 17.58/12.77 inference(rewrite,[status(thm)],[])).
% 17.58/12.77 tff(34825,plain,
% 17.58/12.77 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB75) <=> (~((~v139(constB75)) | (~v130(constB75)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB75) <=> (~((~v130(constB75)) | (~v139(constB75))))))),
% 17.58/12.77 inference(monotonicity,[status(thm)],[34824])).
% 17.58/12.77 tff(34826,plain,
% 17.58/12.77 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB75) <=> (~((~v139(constB75)) | (~v130(constB75)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB75) <=> (~((~v130(constB75)) | (~v139(constB75))))))),
% 17.58/12.77 inference(transitivity,[status(thm)],[34825, 34823])).
% 17.58/12.77 tff(34827,plain,
% 17.58/12.77 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB75) <=> (~((~v139(constB75)) | (~v130(constB75)))))),
% 17.58/12.77 inference(quant_inst,[status(thm)],[])).
% 17.58/12.77 tff(34828,plain,
% 17.58/12.77 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB75) <=> (~((~v130(constB75)) | (~v139(constB75)))))),
% 17.58/12.77 inference(modus_ponens,[status(thm)],[34827, 34826])).
% 17.58/12.77 tff(34829,plain,
% 17.58/12.77 (v153(constB75) <=> (~((~v130(constB75)) | (~v139(constB75))))),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34828, 447])).
% 17.58/12.77 tff(34830,plain,
% 17.58/12.77 (((~v130(constB75)) | (~v139(constB75))) | v139(constB75)),
% 17.58/12.77 inference(tautology,[status(thm)],[])).
% 17.58/12.77 tff(34831,plain,
% 17.58/12.77 ((~v130(constB75)) | (~v139(constB75))),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34830, 28649])).
% 17.58/12.77 tff(34832,plain,
% 17.58/12.77 ((~(v153(constB75) <=> (~((~v130(constB75)) | (~v139(constB75)))))) | (~v153(constB75)) | (~((~v130(constB75)) | (~v139(constB75))))),
% 17.58/12.77 inference(tautology,[status(thm)],[])).
% 17.58/12.77 tff(34833,plain,
% 17.58/12.77 (~v153(constB75)),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34832, 34831, 34829])).
% 17.58/12.77 tff(34834,plain,
% 17.58/12.77 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB75) <=> (~((~v132(constB75)) | (~v155(constB75)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB75) <=> (~((~v132(constB75)) | (~v155(constB75))))))),
% 17.58/12.77 inference(rewrite,[status(thm)],[])).
% 17.58/12.77 tff(34835,plain,
% 17.58/12.77 ((v154(constB75) <=> (~((~v155(constB75)) | (~v132(constB75))))) <=> (v154(constB75) <=> (~((~v132(constB75)) | (~v155(constB75)))))),
% 17.58/12.77 inference(rewrite,[status(thm)],[])).
% 17.58/12.77 tff(34836,plain,
% 17.58/12.77 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB75) <=> (~((~v155(constB75)) | (~v132(constB75)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB75) <=> (~((~v132(constB75)) | (~v155(constB75))))))),
% 17.58/12.77 inference(monotonicity,[status(thm)],[34835])).
% 17.58/12.77 tff(34837,plain,
% 17.58/12.77 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB75) <=> (~((~v155(constB75)) | (~v132(constB75)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB75) <=> (~((~v132(constB75)) | (~v155(constB75))))))),
% 17.58/12.77 inference(transitivity,[status(thm)],[34836, 34834])).
% 17.58/12.77 tff(34838,plain,
% 17.58/12.77 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB75) <=> (~((~v155(constB75)) | (~v132(constB75)))))),
% 17.58/12.77 inference(quant_inst,[status(thm)],[])).
% 17.58/12.77 tff(34839,plain,
% 17.58/12.77 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB75) <=> (~((~v132(constB75)) | (~v155(constB75)))))),
% 17.58/12.77 inference(modus_ponens,[status(thm)],[34838, 34837])).
% 17.58/12.77 tff(34840,plain,
% 17.58/12.77 (v154(constB75) <=> (~((~v132(constB75)) | (~v155(constB75))))),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34839, 399])).
% 17.58/12.77 tff(34841,plain,
% 17.58/12.77 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB75) <=> v137(constB75))),
% 17.58/12.77 inference(quant_inst,[status(thm)],[])).
% 17.58/12.77 tff(34842,plain,
% 17.58/12.77 (v132(constB75) <=> v137(constB75)),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34841, 558])).
% 17.58/12.77 tff(34843,plain,
% 17.58/12.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB74, constB75)) | (v137(constB75) <=> v135(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB74, constB75)) | (v137(constB75) <=> v135(constB74)))),
% 17.58/12.77 inference(rewrite,[status(thm)],[])).
% 17.58/12.77 tff(34844,plain,
% 17.58/12.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB74, constB75)) | (v137(constB75) <=> v135(constB74)))),
% 17.58/12.77 inference(quant_inst,[status(thm)],[])).
% 17.58/12.77 tff(34845,plain,
% 17.58/12.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB74, constB75)) | (v137(constB75) <=> v135(constB74))),
% 17.58/12.77 inference(modus_ponens,[status(thm)],[34844, 34843])).
% 17.58/12.77 tff(34846,plain,
% 17.58/12.77 (v137(constB75) <=> v135(constB74)),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34845, 7139, 570])).
% 17.58/12.77 tff(34847,plain,
% 17.58/12.77 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB74) <=> (v138(constB74) | v142(constB74)))),
% 17.58/12.77 inference(quant_inst,[status(thm)],[])).
% 17.58/12.77 tff(34848,plain,
% 17.58/12.77 (v135(constB74) <=> (v138(constB74) | v142(constB74))),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34847, 584])).
% 17.58/12.77 tff(34849,plain,
% 17.58/12.77 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB74) <=> (~((~v143(constB74)) | (~v144(constB74)))))),
% 17.58/12.77 inference(quant_inst,[status(thm)],[])).
% 17.58/12.77 tff(34850,plain,
% 17.58/12.77 (v142(constB74) <=> (~((~v143(constB74)) | (~v144(constB74))))),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34849, 596])).
% 17.58/12.77 tff(34851,plain,
% 17.58/12.77 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB74) <=> (~((~v141(constB74)) | (~v145(constB74)))))),
% 17.58/12.77 inference(quant_inst,[status(thm)],[])).
% 17.58/12.77 tff(34852,plain,
% 17.58/12.77 (v144(constB74) <=> (~((~v141(constB74)) | (~v145(constB74))))),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34851, 608])).
% 17.58/12.77 tff(34853,plain,
% 17.58/12.77 (((~v141(constB74)) | (~v145(constB74))) | v141(constB74)),
% 17.58/12.77 inference(tautology,[status(thm)],[])).
% 17.58/12.77 tff(34854,plain,
% 17.58/12.77 ((~v141(constB74)) | (~v145(constB74))),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34853, 28694])).
% 17.58/12.77 tff(34855,plain,
% 17.58/12.77 ((~(v144(constB74) <=> (~((~v141(constB74)) | (~v145(constB74)))))) | (~v144(constB74)) | (~((~v141(constB74)) | (~v145(constB74))))),
% 17.58/12.77 inference(tautology,[status(thm)],[])).
% 17.58/12.77 tff(34856,plain,
% 17.58/12.77 ((~(v144(constB74) <=> (~((~v141(constB74)) | (~v145(constB74)))))) | (~v144(constB74))),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34855, 34854])).
% 17.58/12.77 tff(34857,plain,
% 17.58/12.77 (~v144(constB74)),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34856, 34852])).
% 17.58/12.77 tff(34858,plain,
% 17.58/12.77 (((~v143(constB74)) | (~v144(constB74))) | v144(constB74)),
% 17.58/12.77 inference(tautology,[status(thm)],[])).
% 17.58/12.77 tff(34859,plain,
% 17.58/12.77 ((~v143(constB74)) | (~v144(constB74))),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34858, 34857])).
% 17.58/12.77 tff(34860,plain,
% 17.58/12.77 ((~(v142(constB74) <=> (~((~v143(constB74)) | (~v144(constB74)))))) | (~v142(constB74)) | (~((~v143(constB74)) | (~v144(constB74))))),
% 17.58/12.77 inference(tautology,[status(thm)],[])).
% 17.58/12.77 tff(34861,plain,
% 17.58/12.77 (~v142(constB74)),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34860, 34859, 34850])).
% 17.58/12.77 tff(34862,plain,
% 17.58/12.77 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74))))))),
% 17.58/12.77 inference(rewrite,[status(thm)],[])).
% 17.58/12.77 tff(34863,plain,
% 17.58/12.77 ((v138(constB74) <=> (~((~v139(constB74)) | (~v132(constB74))))) <=> (v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74)))))),
% 17.58/12.77 inference(rewrite,[status(thm)],[])).
% 17.58/12.77 tff(34864,plain,
% 17.58/12.77 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v139(constB74)) | (~v132(constB74)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74))))))),
% 17.58/12.77 inference(monotonicity,[status(thm)],[34863])).
% 17.58/12.77 tff(34865,plain,
% 17.58/12.77 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v139(constB74)) | (~v132(constB74)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74))))))),
% 17.58/12.77 inference(transitivity,[status(thm)],[34864, 34862])).
% 17.58/12.77 tff(34866,plain,
% 17.58/12.77 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v139(constB74)) | (~v132(constB74)))))),
% 17.58/12.77 inference(quant_inst,[status(thm)],[])).
% 17.58/12.77 tff(34867,plain,
% 17.58/12.77 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74)))))),
% 17.58/12.77 inference(modus_ponens,[status(thm)],[34866, 34865])).
% 17.58/12.77 tff(34868,plain,
% 17.58/12.77 (v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74))))),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34867, 644])).
% 17.58/12.77 tff(34869,plain,
% 17.58/12.77 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB74) <=> v137(constB74))),
% 17.58/12.77 inference(quant_inst,[status(thm)],[])).
% 17.58/12.77 tff(34870,plain,
% 17.58/12.77 (v132(constB74) <=> v137(constB74)),
% 17.58/12.77 inference(unit_resolution,[status(thm)],[34869, 558])).
% 17.58/12.77 tff(34871,plain,
% 17.58/12.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB73, constB74)) | (v137(constB74) <=> v135(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB73, constB74)) | (v137(constB74) <=> v135(constB73)))),
% 17.58/12.77 inference(rewrite,[status(thm)],[])).
% 17.58/12.77 tff(34872,plain,
% 17.58/12.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB73, constB74)) | (v137(constB74) <=> v135(constB73)))),
% 17.58/12.77 inference(quant_inst,[status(thm)],[])).
% 17.58/12.77 tff(34873,plain,
% 17.58/12.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB73, constB74)) | (v137(constB74) <=> v135(constB73))),
% 17.58/12.77 inference(modus_ponens,[status(thm)],[34872, 34871])).
% 17.58/12.78 tff(34874,plain,
% 17.58/12.78 (v137(constB74) <=> v135(constB73)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34873, 7175, 570])).
% 17.58/12.78 tff(34875,plain,
% 17.58/12.78 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB73) <=> (v138(constB73) | v142(constB73)))),
% 17.58/12.78 inference(quant_inst,[status(thm)],[])).
% 17.58/12.78 tff(34876,plain,
% 17.58/12.78 (v135(constB73) <=> (v138(constB73) | v142(constB73))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34875, 584])).
% 17.58/12.78 tff(34877,plain,
% 17.58/12.78 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73))))))),
% 17.58/12.78 inference(rewrite,[status(thm)],[])).
% 17.58/12.78 tff(34878,plain,
% 17.58/12.78 ((v138(constB73) <=> (~((~v139(constB73)) | (~v132(constB73))))) <=> (v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73)))))),
% 17.58/12.78 inference(rewrite,[status(thm)],[])).
% 17.58/12.78 tff(34879,plain,
% 17.58/12.78 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v139(constB73)) | (~v132(constB73)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73))))))),
% 17.58/12.78 inference(monotonicity,[status(thm)],[34878])).
% 17.58/12.78 tff(34880,plain,
% 17.58/12.78 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v139(constB73)) | (~v132(constB73)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73))))))),
% 17.58/12.78 inference(transitivity,[status(thm)],[34879, 34877])).
% 17.58/12.78 tff(34881,plain,
% 17.58/12.78 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v139(constB73)) | (~v132(constB73)))))),
% 17.58/12.78 inference(quant_inst,[status(thm)],[])).
% 17.58/12.78 tff(34882,plain,
% 17.58/12.78 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73)))))),
% 17.58/12.78 inference(modus_ponens,[status(thm)],[34881, 34880])).
% 17.58/12.78 tff(34883,plain,
% 17.58/12.78 (v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73))))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34882, 644])).
% 17.58/12.78 tff(34884,plain,
% 17.58/12.78 (((~v132(constB73)) | (~v139(constB73))) | v139(constB73)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34885,plain,
% 17.58/12.78 ((~v132(constB73)) | (~v139(constB73))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34884, 28787])).
% 17.58/12.78 tff(34886,plain,
% 17.58/12.78 ((~(v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73)))))) | (~v138(constB73)) | (~((~v132(constB73)) | (~v139(constB73))))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34887,plain,
% 17.58/12.78 (~v138(constB73)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34886, 34885, 34883])).
% 17.58/12.78 tff(34888,plain,
% 17.58/12.78 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB73) <=> (~((~v143(constB73)) | (~v144(constB73)))))),
% 17.58/12.78 inference(quant_inst,[status(thm)],[])).
% 17.58/12.78 tff(34889,plain,
% 17.58/12.78 (v142(constB73) <=> (~((~v143(constB73)) | (~v144(constB73))))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34888, 596])).
% 17.58/12.78 tff(34890,plain,
% 17.58/12.78 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB73) <=> (~((~v141(constB73)) | (~v145(constB73)))))),
% 17.58/12.78 inference(quant_inst,[status(thm)],[])).
% 17.58/12.78 tff(34891,plain,
% 17.58/12.78 (v144(constB73) <=> (~((~v141(constB73)) | (~v145(constB73))))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34890, 608])).
% 17.58/12.78 tff(34892,plain,
% 17.58/12.78 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))))),
% 17.58/12.78 inference(quant_inst,[status(thm)],[])).
% 17.58/12.78 tff(34893,plain,
% 17.58/12.78 (v145(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34892, 755])).
% 17.58/12.78 tff(34894,plain,
% 17.58/12.78 ((v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))) | (~v84(constB73, 2))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34895,plain,
% 17.58/12.78 (v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34894, 10496])).
% 17.58/12.78 tff(34896,plain,
% 17.58/12.78 ((~(v145(constB73) <=> (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0)))))) | (~v145(constB73)) | (~(v84(constB73, 1) | v84(constB73, 2) | (~v84(constB73, 0))))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34897,plain,
% 17.58/12.78 (~v145(constB73)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34896, 34895, 34893])).
% 17.58/12.78 tff(34898,plain,
% 17.58/12.78 (((~v141(constB73)) | (~v145(constB73))) | v145(constB73)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34899,plain,
% 17.58/12.78 ((~v141(constB73)) | (~v145(constB73))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34898, 34897])).
% 17.58/12.78 tff(34900,plain,
% 17.58/12.78 ((~(v144(constB73) <=> (~((~v141(constB73)) | (~v145(constB73)))))) | (~v144(constB73)) | (~((~v141(constB73)) | (~v145(constB73))))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34901,plain,
% 17.58/12.78 (~v144(constB73)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34900, 34899, 34891])).
% 17.58/12.78 tff(34902,plain,
% 17.58/12.78 (((~v143(constB73)) | (~v144(constB73))) | v144(constB73)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34903,plain,
% 17.58/12.78 ((~v143(constB73)) | (~v144(constB73))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34902, 34901])).
% 17.58/12.78 tff(34904,plain,
% 17.58/12.78 ((~(v142(constB73) <=> (~((~v143(constB73)) | (~v144(constB73)))))) | (~v142(constB73)) | (~((~v143(constB73)) | (~v144(constB73))))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34905,plain,
% 17.58/12.78 (~v142(constB73)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34904, 34903, 34889])).
% 17.58/12.78 tff(34906,plain,
% 17.58/12.78 ((~(v138(constB73) | v142(constB73))) | v138(constB73) | v142(constB73)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34907,plain,
% 17.58/12.78 (~(v138(constB73) | v142(constB73))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34906, 34905, 34887])).
% 17.58/12.78 tff(34908,plain,
% 17.58/12.78 ((~(v135(constB73) <=> (v138(constB73) | v142(constB73)))) | (~v135(constB73)) | (v138(constB73) | v142(constB73))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34909,plain,
% 17.58/12.78 (~v135(constB73)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34908, 34907, 34876])).
% 17.58/12.78 tff(34910,plain,
% 17.58/12.78 ((~(v137(constB74) <=> v135(constB73))) | (~v137(constB74)) | v135(constB73)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34911,plain,
% 17.58/12.78 (~v137(constB74)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34910, 34909, 34874])).
% 17.58/12.78 tff(34912,plain,
% 17.58/12.78 ((~(v132(constB74) <=> v137(constB74))) | (~v132(constB74)) | v137(constB74)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34913,plain,
% 17.58/12.78 (~v132(constB74)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34912, 34911, 34870])).
% 17.58/12.78 tff(34914,plain,
% 17.58/12.78 (((~v132(constB74)) | (~v139(constB74))) | v132(constB74)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34915,plain,
% 17.58/12.78 ((~v132(constB74)) | (~v139(constB74))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34914, 34913])).
% 17.58/12.78 tff(34916,plain,
% 17.58/12.78 ((~(v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74)))))) | (~v138(constB74)) | (~((~v132(constB74)) | (~v139(constB74))))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34917,plain,
% 17.58/12.78 (~v138(constB74)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34916, 34915, 34868])).
% 17.58/12.78 tff(34918,plain,
% 17.58/12.78 ((~(v138(constB74) | v142(constB74))) | v138(constB74) | v142(constB74)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34919,plain,
% 17.58/12.78 (~(v138(constB74) | v142(constB74))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34918, 34917, 34861])).
% 17.58/12.78 tff(34920,plain,
% 17.58/12.78 ((~(v135(constB74) <=> (v138(constB74) | v142(constB74)))) | (~v135(constB74)) | (v138(constB74) | v142(constB74))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34921,plain,
% 17.58/12.78 (~v135(constB74)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34920, 34919, 34848])).
% 17.58/12.78 tff(34922,plain,
% 17.58/12.78 ((~(v137(constB75) <=> v135(constB74))) | (~v137(constB75)) | v135(constB74)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34923,plain,
% 17.58/12.78 (~v137(constB75)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34922, 34921, 34846])).
% 17.58/12.78 tff(34924,plain,
% 17.58/12.78 ((~(v132(constB75) <=> v137(constB75))) | (~v132(constB75)) | v137(constB75)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34925,plain,
% 17.58/12.78 (~v132(constB75)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34924, 34923, 34842])).
% 17.58/12.78 tff(34926,plain,
% 17.58/12.78 (((~v132(constB75)) | (~v155(constB75))) | v132(constB75)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34927,plain,
% 17.58/12.78 ((~v132(constB75)) | (~v155(constB75))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34926, 34925])).
% 17.58/12.78 tff(34928,plain,
% 17.58/12.78 ((~(v154(constB75) <=> (~((~v132(constB75)) | (~v155(constB75)))))) | (~v154(constB75)) | (~((~v132(constB75)) | (~v155(constB75))))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34929,plain,
% 17.58/12.78 (~v154(constB75)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34928, 34927, 34840])).
% 17.58/12.78 tff(34930,plain,
% 17.58/12.78 ((~(v153(constB75) | v154(constB75))) | v153(constB75) | v154(constB75)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34931,plain,
% 17.58/12.78 (~(v153(constB75) | v154(constB75))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34930, 34929, 34833])).
% 17.58/12.78 tff(34932,plain,
% 17.58/12.78 ((~(v150(constB75) <=> (v153(constB75) | v154(constB75)))) | (~v150(constB75)) | (v153(constB75) | v154(constB75))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34933,plain,
% 17.58/12.78 (~v150(constB75)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34932, 34931, 34822])).
% 17.58/12.78 tff(34934,plain,
% 17.58/12.78 ((~(v152(constB76) <=> v150(constB75))) | (~v152(constB76)) | v150(constB75)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34935,plain,
% 17.58/12.78 (~v152(constB76)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34934, 34933, 34820])).
% 17.58/12.78 tff(34936,plain,
% 17.58/12.78 ((~(v130(constB76) <=> v152(constB76))) | (~v130(constB76)) | v152(constB76)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34937,plain,
% 17.58/12.78 (~v130(constB76)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34936, 34935, 34816])).
% 17.58/12.78 tff(34938,plain,
% 17.58/12.78 (((~v130(constB76)) | (~v139(constB76))) | v130(constB76)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34939,plain,
% 17.58/12.78 ((~v130(constB76)) | (~v139(constB76))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34938, 34937])).
% 17.58/12.78 tff(34940,plain,
% 17.58/12.78 ((~(v153(constB76) <=> (~((~v130(constB76)) | (~v139(constB76)))))) | (~v153(constB76)) | (~((~v130(constB76)) | (~v139(constB76))))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34941,plain,
% 17.58/12.78 (~v153(constB76)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34940, 34939, 34814])).
% 17.58/12.78 tff(34942,plain,
% 17.58/12.78 ((~(v153(constB76) | v154(constB76))) | v153(constB76) | v154(constB76)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34943,plain,
% 17.58/12.78 (~(v153(constB76) | v154(constB76))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34942, 34941, 34807])).
% 17.58/12.78 tff(34944,plain,
% 17.58/12.78 ((~(v150(constB76) <=> (v153(constB76) | v154(constB76)))) | (~v150(constB76)) | (v153(constB76) | v154(constB76))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34945,plain,
% 17.58/12.78 (~v150(constB76)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34944, 34943, 34796])).
% 17.58/12.78 tff(34946,plain,
% 17.58/12.78 ((~(v152(constB77) <=> v150(constB76))) | (~v152(constB77)) | v150(constB76)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34947,plain,
% 17.58/12.78 (~v152(constB77)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34946, 34945, 34794])).
% 17.58/12.78 tff(34948,plain,
% 17.58/12.78 ((~(v130(constB77) <=> v152(constB77))) | (~v130(constB77)) | v152(constB77)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34949,plain,
% 17.58/12.78 (~v130(constB77)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34948, 34947, 34790])).
% 17.58/12.78 tff(34950,plain,
% 17.58/12.78 (((~v130(constB77)) | (~v155(constB77))) | v130(constB77)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34951,plain,
% 17.58/12.78 ((~v130(constB77)) | (~v155(constB77))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34950, 34949])).
% 17.58/12.78 tff(34952,plain,
% 17.58/12.78 ((~(v164(constB77) <=> (~((~v130(constB77)) | (~v155(constB77)))))) | (~v164(constB77)) | (~((~v130(constB77)) | (~v155(constB77))))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34953,plain,
% 17.58/12.78 (~v164(constB77)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34952, 34951, 34788])).
% 17.58/12.78 tff(34954,plain,
% 17.58/12.78 ((~(v163(constB77) | v164(constB77))) | v163(constB77) | v164(constB77)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34955,plain,
% 17.58/12.78 (~(v163(constB77) | v164(constB77))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34954, 34953, 34781])).
% 17.58/12.78 tff(34956,plain,
% 17.58/12.78 ((~(v160(constB77) <=> (v163(constB77) | v164(constB77)))) | (~v160(constB77)) | (v163(constB77) | v164(constB77))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34957,plain,
% 17.58/12.78 (~v160(constB77)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34956, 34955, 34708])).
% 17.58/12.78 tff(34958,plain,
% 17.58/12.78 ((~(v162(constB78) <=> v160(constB77))) | (~v162(constB78)) | v160(constB77)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34959,plain,
% 17.58/12.78 (~v162(constB78)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34958, 34957, 34706])).
% 17.58/12.78 tff(34960,plain,
% 17.58/12.78 ((~(v128(constB78) <=> v162(constB78))) | (~v128(constB78)) | v162(constB78)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34961,plain,
% 17.58/12.78 (~v128(constB78)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34960, 34959, 34702])).
% 17.58/12.78 tff(34962,plain,
% 17.58/12.78 (((~v128(constB78)) | (~v139(constB78))) | v128(constB78)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34963,plain,
% 17.58/12.78 ((~v128(constB78)) | (~v139(constB78))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34962, 34961])).
% 17.58/12.78 tff(34964,plain,
% 17.58/12.78 ((~(v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78)))))) | (~v163(constB78)) | (~((~v128(constB78)) | (~v139(constB78))))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34965,plain,
% 17.58/12.78 (~v163(constB78)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34964, 34963, 34700])).
% 17.58/12.78 tff(34966,plain,
% 17.58/12.78 ((~(v163(constB78) | v164(constB78))) | v163(constB78) | v164(constB78)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34967,plain,
% 17.58/12.78 (~(v163(constB78) | v164(constB78))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34966, 34965, 34693])).
% 17.58/12.78 tff(34968,plain,
% 17.58/12.78 ((~(v160(constB78) <=> (v163(constB78) | v164(constB78)))) | (~v160(constB78)) | (v163(constB78) | v164(constB78))),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34969,plain,
% 17.58/12.78 (~v160(constB78)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34968, 34967, 34658])).
% 17.58/12.78 tff(34970,plain,
% 17.58/12.78 ((~(v162(constB79) <=> v160(constB78))) | (~v162(constB79)) | v160(constB78)),
% 17.58/12.78 inference(tautology,[status(thm)],[])).
% 17.58/12.78 tff(34971,plain,
% 17.58/12.78 (~v162(constB79)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34970, 34969, 34656])).
% 17.58/12.78 tff(34972,plain,
% 17.58/12.78 ($false),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34971, 34652])).
% 17.58/12.78 tff(34973,plain,(~(constB79 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.58/12.78 tff(34974,assumption,(constB137 = VarCurr!0), introduced(assumption)).
% 17.58/12.78 tff(34975,plain,
% 17.58/12.78 (v162(constB137) <=> v162(VarCurr!0)),
% 17.58/12.78 inference(monotonicity,[status(thm)],[34974])).
% 17.58/12.78 tff(34976,plain,
% 17.58/12.78 (v162(VarCurr!0) <=> v162(constB137)),
% 17.58/12.78 inference(symmetry,[status(thm)],[34975])).
% 17.58/12.78 tff(34977,plain,
% 17.58/12.78 (v162(constB137)),
% 17.58/12.78 inference(modus_ponens,[status(thm)],[59, 34976])).
% 17.58/12.78 tff(34978,plain,
% 17.58/12.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB136, constB137)) | (v162(constB137) <=> v160(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB136, constB137)) | (v162(constB137) <=> v160(constB136)))),
% 17.58/12.78 inference(rewrite,[status(thm)],[])).
% 17.58/12.78 tff(34979,plain,
% 17.58/12.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB136, constB137)) | (v162(constB137) <=> v160(constB136)))),
% 17.58/12.78 inference(quant_inst,[status(thm)],[])).
% 17.58/12.78 tff(34980,plain,
% 17.58/12.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB136, constB137)) | (v162(constB137) <=> v160(constB136))),
% 17.58/12.78 inference(modus_ponens,[status(thm)],[34979, 34978])).
% 17.58/12.78 tff(34981,plain,
% 17.58/12.78 (v162(constB137) <=> v160(constB136)),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34980, 15446, 70])).
% 17.58/12.78 tff(34982,plain,
% 17.58/12.78 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB136) <=> (v163(constB136) | v164(constB136)))),
% 17.58/12.78 inference(quant_inst,[status(thm)],[])).
% 17.58/12.78 tff(34983,plain,
% 17.58/12.78 (v160(constB136) <=> (v163(constB136) | v164(constB136))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34982, 84])).
% 17.58/12.78 tff(34984,plain,
% 17.58/12.78 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v130(constB136)) | (~v155(constB136)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v130(constB136)) | (~v155(constB136))))))),
% 17.58/12.78 inference(rewrite,[status(thm)],[])).
% 17.58/12.78 tff(34985,plain,
% 17.58/12.78 ((v164(constB136) <=> (~((~v155(constB136)) | (~v130(constB136))))) <=> (v164(constB136) <=> (~((~v130(constB136)) | (~v155(constB136)))))),
% 17.58/12.78 inference(rewrite,[status(thm)],[])).
% 17.58/12.78 tff(34986,plain,
% 17.58/12.78 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v155(constB136)) | (~v130(constB136)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v130(constB136)) | (~v155(constB136))))))),
% 17.58/12.78 inference(monotonicity,[status(thm)],[34985])).
% 17.58/12.78 tff(34987,plain,
% 17.58/12.78 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v155(constB136)) | (~v130(constB136)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v130(constB136)) | (~v155(constB136))))))),
% 17.58/12.78 inference(transitivity,[status(thm)],[34986, 34984])).
% 17.58/12.78 tff(34988,plain,
% 17.58/12.78 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v155(constB136)) | (~v130(constB136)))))),
% 17.58/12.78 inference(quant_inst,[status(thm)],[])).
% 17.58/12.78 tff(34989,plain,
% 17.58/12.78 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v130(constB136)) | (~v155(constB136)))))),
% 17.58/12.78 inference(modus_ponens,[status(thm)],[34988, 34987])).
% 17.58/12.78 tff(34990,plain,
% 17.58/12.78 (v164(constB136) <=> (~((~v130(constB136)) | (~v155(constB136))))),
% 17.58/12.78 inference(unit_resolution,[status(thm)],[34989, 96])).
% 17.58/12.78 tff(34991,plain,
% 17.58/12.78 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB136) <=> (~((~v141(constB136)) | (~v143(constB136)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB136) <=> (~((~v141(constB136)) | (~v143(constB136))))))),
% 17.58/12.78 inference(rewrite,[status(thm)],[])).
% 17.58/12.78 tff(34992,plain,
% 17.58/12.78 ((v155(constB136) <=> (~((~v143(constB136)) | (~v141(constB136))))) <=> (v155(constB136) <=> (~((~v141(constB136)) | (~v143(constB136)))))),
% 17.58/12.78 inference(rewrite,[status(thm)],[])).
% 17.58/12.78 tff(34993,plain,
% 17.58/12.78 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB136) <=> (~((~v143(constB136)) | (~v141(constB136)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB136) <=> (~((~v141(constB136)) | (~v143(constB136))))))),
% 17.58/12.78 inference(monotonicity,[status(thm)],[34992])).
% 17.58/12.78 tff(34994,plain,
% 17.58/12.78 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB136) <=> (~((~v143(constB136)) | (~v141(constB136)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB136) <=> (~((~v141(constB136)) | (~v143(constB136))))))),
% 17.58/12.78 inference(transitivity,[status(thm)],[34993, 34991])).
% 17.58/12.78 tff(34995,plain,
% 17.58/12.78 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB136) <=> (~((~v143(constB136)) | (~v141(constB136)))))),
% 17.58/12.79 inference(quant_inst,[status(thm)],[])).
% 17.58/12.79 tff(34996,plain,
% 17.58/12.79 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB136) <=> (~((~v141(constB136)) | (~v143(constB136)))))),
% 17.58/12.79 inference(modus_ponens,[status(thm)],[34995, 34994])).
% 17.58/12.79 tff(34997,plain,
% 17.58/12.79 (v155(constB136) <=> (~((~v141(constB136)) | (~v143(constB136))))),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[34996, 113])).
% 17.58/12.79 tff(34998,plain,
% 17.58/12.79 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB136) <=> (~((~v39(constB136)) | (~v9(constB136)))))),
% 17.58/12.79 inference(quant_inst,[status(thm)],[])).
% 17.58/12.79 tff(34999,plain,
% 17.58/12.79 (v141(constB136) <=> (~((~v39(constB136)) | (~v9(constB136))))),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[34998, 130])).
% 17.58/12.79 tff(35000,plain,
% 17.58/12.79 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB136)) <=> v1(constB136))),
% 17.58/12.79 inference(quant_inst,[status(thm)],[])).
% 17.58/12.79 tff(35001,plain,
% 17.58/12.79 ((~v39(constB136)) <=> v1(constB136)),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[35000, 139])).
% 17.58/12.79 tff(35002,plain,
% 17.58/12.79 ((~((~v39(constB136)) <=> v1(constB136))) | (~v39(constB136)) | (~v1(constB136))),
% 17.58/12.79 inference(tautology,[status(thm)],[])).
% 17.58/12.79 tff(35003,plain,
% 17.58/12.79 ((~((~v39(constB136)) <=> v1(constB136))) | (~v39(constB136))),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[35002, 19346])).
% 17.58/12.79 tff(35004,plain,
% 17.58/12.79 (~v39(constB136)),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[35003, 35001])).
% 17.58/12.79 tff(35005,plain,
% 17.58/12.79 (((~v39(constB136)) | (~v9(constB136))) | v39(constB136)),
% 17.58/12.79 inference(tautology,[status(thm)],[])).
% 17.58/12.79 tff(35006,plain,
% 17.58/12.79 ((~v39(constB136)) | (~v9(constB136))),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[35005, 35004])).
% 17.58/12.79 tff(35007,plain,
% 17.58/12.79 ((~(v141(constB136) <=> (~((~v39(constB136)) | (~v9(constB136)))))) | (~v141(constB136)) | (~((~v39(constB136)) | (~v9(constB136))))),
% 17.58/12.79 inference(tautology,[status(thm)],[])).
% 17.58/12.79 tff(35008,plain,
% 17.58/12.79 ((~(v141(constB136) <=> (~((~v39(constB136)) | (~v9(constB136)))))) | (~v141(constB136))),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[35007, 35006])).
% 17.58/12.79 tff(35009,plain,
% 17.58/12.79 (~v141(constB136)),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[35008, 34999])).
% 17.58/12.79 tff(35010,plain,
% 17.58/12.79 (((~v141(constB136)) | (~v143(constB136))) | v141(constB136)),
% 17.58/12.79 inference(tautology,[status(thm)],[])).
% 17.58/12.79 tff(35011,plain,
% 17.58/12.79 ((~v141(constB136)) | (~v143(constB136))),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[35010, 35009])).
% 17.58/12.79 tff(35012,plain,
% 17.58/12.79 ((~(v155(constB136) <=> (~((~v141(constB136)) | (~v143(constB136)))))) | (~v155(constB136)) | (~((~v141(constB136)) | (~v143(constB136))))),
% 17.58/12.79 inference(tautology,[status(thm)],[])).
% 17.58/12.79 tff(35013,plain,
% 17.58/12.79 ((~(v155(constB136) <=> (~((~v141(constB136)) | (~v143(constB136)))))) | (~v155(constB136))),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[35012, 35011])).
% 17.58/12.79 tff(35014,plain,
% 17.58/12.79 (~v155(constB136)),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[35013, 34997])).
% 17.58/12.79 tff(35015,plain,
% 17.58/12.79 (((~v130(constB136)) | (~v155(constB136))) | v155(constB136)),
% 17.58/12.79 inference(tautology,[status(thm)],[])).
% 17.58/12.79 tff(35016,plain,
% 17.58/12.79 ((~v130(constB136)) | (~v155(constB136))),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[35015, 35014])).
% 17.58/12.79 tff(35017,plain,
% 17.58/12.79 ((~(v164(constB136) <=> (~((~v130(constB136)) | (~v155(constB136)))))) | (~v164(constB136)) | (~((~v130(constB136)) | (~v155(constB136))))),
% 17.58/12.79 inference(tautology,[status(thm)],[])).
% 17.58/12.79 tff(35018,plain,
% 17.58/12.79 (~v164(constB136)),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[35017, 35016, 34990])).
% 17.58/12.79 tff(35019,plain,
% 17.58/12.79 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136))))))),
% 17.58/12.79 inference(rewrite,[status(thm)],[])).
% 17.58/12.79 tff(35020,plain,
% 17.58/12.79 ((v163(constB136) <=> (~((~v139(constB136)) | (~v128(constB136))))) <=> (v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136)))))),
% 17.58/12.79 inference(rewrite,[status(thm)],[])).
% 17.58/12.79 tff(35021,plain,
% 17.58/12.79 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v139(constB136)) | (~v128(constB136)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136))))))),
% 17.58/12.79 inference(monotonicity,[status(thm)],[35020])).
% 17.58/12.79 tff(35022,plain,
% 17.58/12.79 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v139(constB136)) | (~v128(constB136)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136))))))),
% 17.58/12.79 inference(transitivity,[status(thm)],[35021, 35019])).
% 17.58/12.79 tff(35023,plain,
% 17.58/12.79 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v139(constB136)) | (~v128(constB136)))))),
% 17.58/12.79 inference(quant_inst,[status(thm)],[])).
% 17.58/12.79 tff(35024,plain,
% 17.58/12.79 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136)))))),
% 17.58/12.79 inference(modus_ponens,[status(thm)],[35023, 35022])).
% 17.58/12.79 tff(35025,plain,
% 17.58/12.79 (v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136))))),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[35024, 171])).
% 17.58/12.79 tff(35026,plain,
% 17.58/12.79 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB136) <=> v162(constB136))),
% 17.58/12.79 inference(quant_inst,[status(thm)],[])).
% 17.58/12.79 tff(35027,plain,
% 17.58/12.79 (v128(constB136) <=> v162(constB136)),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[35026, 13])).
% 17.58/12.79 tff(35028,plain,
% 17.58/12.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB135, constB136)) | (v162(constB136) <=> v160(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB135, constB136)) | (v162(constB136) <=> v160(constB135)))),
% 17.58/12.79 inference(rewrite,[status(thm)],[])).
% 17.58/12.79 tff(35029,plain,
% 17.58/12.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB135, constB136)) | (v162(constB136) <=> v160(constB135)))),
% 17.58/12.79 inference(quant_inst,[status(thm)],[])).
% 17.58/12.79 tff(35030,plain,
% 17.58/12.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB135, constB136)) | (v162(constB136) <=> v160(constB135))),
% 17.58/12.79 inference(modus_ponens,[status(thm)],[35029, 35028])).
% 17.58/12.79 tff(35031,plain,
% 17.58/12.79 (v162(constB136) <=> v160(constB135)),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[35030, 15482, 70])).
% 17.58/12.79 tff(35032,plain,
% 17.58/12.79 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB135) <=> (v163(constB135) | v164(constB135)))),
% 17.58/12.79 inference(quant_inst,[status(thm)],[])).
% 17.58/12.79 tff(35033,plain,
% 17.58/12.79 (v160(constB135) <=> (v163(constB135) | v164(constB135))),
% 17.58/12.79 inference(unit_resolution,[status(thm)],[35032, 84])).
% 17.58/12.79 tff(35034,plain,
% 17.58/12.79 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135))))))),
% 17.58/12.79 inference(rewrite,[status(thm)],[])).
% 17.58/12.79 tff(35035,plain,
% 17.58/12.79 ((v163(constB135) <=> (~((~v139(constB135)) | (~v128(constB135))))) <=> (v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135)))))),
% 17.58/12.79 inference(rewrite,[status(thm)],[])).
% 17.58/12.79 tff(35036,plain,
% 17.58/12.79 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v139(constB135)) | (~v128(constB135)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135))))))),
% 17.65/12.79 inference(monotonicity,[status(thm)],[35035])).
% 17.65/12.79 tff(35037,plain,
% 17.65/12.79 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v139(constB135)) | (~v128(constB135)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135))))))),
% 17.65/12.79 inference(transitivity,[status(thm)],[35036, 35034])).
% 17.65/12.79 tff(35038,plain,
% 17.65/12.79 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v139(constB135)) | (~v128(constB135)))))),
% 17.65/12.79 inference(quant_inst,[status(thm)],[])).
% 17.65/12.79 tff(35039,plain,
% 17.65/12.79 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135)))))),
% 17.65/12.79 inference(modus_ponens,[status(thm)],[35038, 35037])).
% 17.65/12.79 tff(35040,plain,
% 17.65/12.79 (v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135))))),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35039, 171])).
% 17.65/12.79 tff(35041,plain,
% 17.65/12.79 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB135)) <=> v140(constB135))),
% 17.65/12.79 inference(quant_inst,[status(thm)],[])).
% 17.65/12.79 tff(35042,plain,
% 17.65/12.79 ((~v139(constB135)) <=> v140(constB135)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35041, 203])).
% 17.65/12.79 tff(35043,plain,
% 17.65/12.79 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB135) <=> (v141(constB135) | v26(constB135)))),
% 17.65/12.79 inference(quant_inst,[status(thm)],[])).
% 17.65/12.79 tff(35044,plain,
% 17.65/12.79 (v140(constB135) <=> (v141(constB135) | v26(constB135))),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35043, 212])).
% 17.65/12.79 tff(35045,plain,
% 17.65/12.79 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB135) <=> (~((~v39(constB135)) | (~v9(constB135)))))),
% 17.65/12.79 inference(quant_inst,[status(thm)],[])).
% 17.65/12.79 tff(35046,plain,
% 17.65/12.79 (v141(constB135) <=> (~((~v39(constB135)) | (~v9(constB135))))),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35045, 130])).
% 17.65/12.79 tff(35047,plain,
% 17.65/12.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135)))),
% 17.65/12.79 inference(rewrite,[status(thm)],[])).
% 17.65/12.79 tff(35048,plain,
% 17.65/12.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135)))),
% 17.65/12.79 inference(quant_inst,[status(thm)],[])).
% 17.65/12.79 tff(35049,plain,
% 17.65/12.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135))),
% 17.65/12.79 inference(modus_ponens,[status(thm)],[35048, 35047])).
% 17.65/12.79 tff(35050,plain,
% 17.65/12.79 (v13(constB136) <=> v9(constB135)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35049, 15482, 226])).
% 17.65/12.79 tff(35051,plain,
% 17.65/12.79 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB136) <=> v13(constB136))),
% 17.65/12.79 inference(quant_inst,[status(thm)],[])).
% 17.65/12.79 tff(35052,plain,
% 17.65/12.79 (v6(constB136) <=> v13(constB136)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35051, 240])).
% 17.65/12.79 tff(35053,plain,
% 17.65/12.79 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB136)) <=> v6(constB136))),
% 17.65/12.79 inference(quant_inst,[status(thm)],[])).
% 17.65/12.79 tff(35054,plain,
% 17.65/12.79 ((~v21(constB136)) <=> v6(constB136)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35053, 249])).
% 17.65/12.79 tff(35055,plain,
% 17.65/12.79 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB136) <=> (v20(constB136) | v21(constB136)))),
% 17.65/12.79 inference(quant_inst,[status(thm)],[])).
% 17.65/12.79 tff(35056,plain,
% 17.65/12.79 (v19(constB136) <=> (v20(constB136) | v21(constB136))),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35055, 258])).
% 17.65/12.79 tff(35057,plain,
% 17.65/12.79 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB136) <=> (~((~v19(constB136)) | (~v22(constB136)))))),
% 17.65/12.79 inference(quant_inst,[status(thm)],[])).
% 17.65/12.79 tff(35058,plain,
% 17.65/12.79 (v18(constB136) <=> (~((~v19(constB136)) | (~v22(constB136))))),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35057, 270])).
% 17.65/12.79 tff(35059,plain,
% 17.65/12.79 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB136)) <=> v18(constB136))),
% 17.65/12.79 inference(quant_inst,[status(thm)],[])).
% 17.65/12.79 tff(35060,plain,
% 17.65/12.79 ((~v4(constB136)) <=> v18(constB136)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35059, 279])).
% 17.65/12.79 tff(35061,plain,
% 17.65/12.79 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB136)),
% 17.65/12.79 inference(quant_inst,[status(thm)],[])).
% 17.65/12.79 tff(35062,plain,
% 17.65/12.79 (v4(constB136)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35061, 288])).
% 17.65/12.79 tff(35063,plain,
% 17.65/12.79 ((~((~v4(constB136)) <=> v18(constB136))) | (~v4(constB136)) | (~v18(constB136))),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35064,plain,
% 17.65/12.79 (~v18(constB136)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35063, 35062, 35060])).
% 17.65/12.79 tff(35065,plain,
% 17.65/12.79 ((~(v18(constB136) <=> (~((~v19(constB136)) | (~v22(constB136)))))) | v18(constB136) | ((~v19(constB136)) | (~v22(constB136)))),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35066,plain,
% 17.65/12.79 ((~v19(constB136)) | (~v22(constB136))),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35065, 35064, 35058])).
% 17.65/12.79 tff(35067,plain,
% 17.65/12.79 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB136) <=> (v1(constB136) | v6(constB136)))),
% 17.65/12.79 inference(quant_inst,[status(thm)],[])).
% 17.65/12.79 tff(35068,plain,
% 17.65/12.79 (v22(constB136) <=> (v1(constB136) | v6(constB136))),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35067, 301])).
% 17.65/12.79 tff(35069,plain,
% 17.65/12.79 ((v1(constB136) | v6(constB136)) | (~v1(constB136))),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35070,plain,
% 17.65/12.79 (v1(constB136) | v6(constB136)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35069, 19346])).
% 17.65/12.79 tff(35071,plain,
% 17.65/12.79 ((~(v22(constB136) <=> (v1(constB136) | v6(constB136)))) | v22(constB136) | (~(v1(constB136) | v6(constB136)))),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35072,plain,
% 17.65/12.79 ((~(v22(constB136) <=> (v1(constB136) | v6(constB136)))) | v22(constB136)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35071, 35070])).
% 17.65/12.79 tff(35073,plain,
% 17.65/12.79 (v22(constB136)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35072, 35068])).
% 17.65/12.79 tff(35074,plain,
% 17.65/12.79 ((~((~v19(constB136)) | (~v22(constB136)))) | (~v19(constB136)) | (~v22(constB136))),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35075,plain,
% 17.65/12.79 ((~((~v19(constB136)) | (~v22(constB136)))) | (~v19(constB136))),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35074, 35073])).
% 17.65/12.79 tff(35076,plain,
% 17.65/12.79 (~v19(constB136)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35075, 35066])).
% 17.65/12.79 tff(35077,plain,
% 17.65/12.79 ((~(v19(constB136) <=> (v20(constB136) | v21(constB136)))) | v19(constB136) | (~(v20(constB136) | v21(constB136)))),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35078,plain,
% 17.65/12.79 (~(v20(constB136) | v21(constB136))),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35077, 35076, 35056])).
% 17.65/12.79 tff(35079,plain,
% 17.65/12.79 ((v20(constB136) | v21(constB136)) | (~v21(constB136))),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35080,plain,
% 17.65/12.79 (~v21(constB136)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35079, 35078])).
% 17.65/12.79 tff(35081,plain,
% 17.65/12.79 ((~((~v21(constB136)) <=> v6(constB136))) | v21(constB136) | v6(constB136)),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35082,plain,
% 17.65/12.79 (v6(constB136)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35081, 35080, 35054])).
% 17.65/12.79 tff(35083,plain,
% 17.65/12.79 ((~(v6(constB136) <=> v13(constB136))) | (~v6(constB136)) | v13(constB136)),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35084,plain,
% 17.65/12.79 (v13(constB136)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35083, 35082, 35052])).
% 17.65/12.79 tff(35085,plain,
% 17.65/12.79 ((~(v13(constB136) <=> v9(constB135))) | (~v13(constB136)) | v9(constB135)),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35086,plain,
% 17.65/12.79 (v9(constB135)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35085, 35084, 35050])).
% 17.65/12.79 tff(35087,plain,
% 17.65/12.79 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB135)) <=> v1(constB135))),
% 17.65/12.79 inference(quant_inst,[status(thm)],[])).
% 17.65/12.79 tff(35088,plain,
% 17.65/12.79 ((~v39(constB135)) <=> v1(constB135)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35087, 139])).
% 17.65/12.79 tff(35089,plain,
% 17.65/12.79 ((~((~v39(constB135)) <=> v1(constB135))) | v39(constB135) | v1(constB135)),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35090,plain,
% 17.65/12.79 ((~((~v39(constB135)) <=> v1(constB135))) | v39(constB135)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35089, 15521])).
% 17.65/12.79 tff(35091,plain,
% 17.65/12.79 (v39(constB135)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35090, 35088])).
% 17.65/12.79 tff(35092,plain,
% 17.65/12.79 ((~((~v39(constB135)) | (~v9(constB135)))) | (~v39(constB135)) | (~v9(constB135))),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35093,plain,
% 17.65/12.79 ((~((~v39(constB135)) | (~v9(constB135)))) | (~v9(constB135))),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35092, 35091])).
% 17.65/12.79 tff(35094,plain,
% 17.65/12.79 (~((~v39(constB135)) | (~v9(constB135)))),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35093, 35086])).
% 17.65/12.79 tff(35095,plain,
% 17.65/12.79 ((~(v141(constB135) <=> (~((~v39(constB135)) | (~v9(constB135)))))) | v141(constB135) | ((~v39(constB135)) | (~v9(constB135)))),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35096,plain,
% 17.65/12.79 (v141(constB135)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35095, 35094, 35046])).
% 17.65/12.79 tff(35097,plain,
% 17.65/12.79 ((v141(constB135) | v26(constB135)) | (~v141(constB135))),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35098,plain,
% 17.65/12.79 (v141(constB135) | v26(constB135)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35097, 35096])).
% 17.65/12.79 tff(35099,plain,
% 17.65/12.79 ((~(v140(constB135) <=> (v141(constB135) | v26(constB135)))) | v140(constB135) | (~(v141(constB135) | v26(constB135)))),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35100,plain,
% 17.65/12.79 (v140(constB135)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35099, 35098, 35044])).
% 17.65/12.79 tff(35101,plain,
% 17.65/12.79 ((~((~v139(constB135)) <=> v140(constB135))) | (~v139(constB135)) | (~v140(constB135))),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35102,plain,
% 17.65/12.79 (~v139(constB135)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35101, 35100, 35042])).
% 17.65/12.79 tff(35103,plain,
% 17.65/12.79 (((~v128(constB135)) | (~v139(constB135))) | v139(constB135)),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35104,plain,
% 17.65/12.79 ((~v128(constB135)) | (~v139(constB135))),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35103, 35102])).
% 17.65/12.79 tff(35105,plain,
% 17.65/12.79 ((~(v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135)))))) | (~v163(constB135)) | (~((~v128(constB135)) | (~v139(constB135))))),
% 17.65/12.79 inference(tautology,[status(thm)],[])).
% 17.65/12.79 tff(35106,plain,
% 17.65/12.79 (~v163(constB135)),
% 17.65/12.79 inference(unit_resolution,[status(thm)],[35105, 35104, 35040])).
% 17.65/12.79 tff(35107,plain,
% 17.65/12.79 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v130(constB135)) | (~v155(constB135)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v130(constB135)) | (~v155(constB135))))))),
% 17.65/12.79 inference(rewrite,[status(thm)],[])).
% 17.65/12.79 tff(35108,plain,
% 17.65/12.79 ((v164(constB135) <=> (~((~v155(constB135)) | (~v130(constB135))))) <=> (v164(constB135) <=> (~((~v130(constB135)) | (~v155(constB135)))))),
% 17.65/12.79 inference(rewrite,[status(thm)],[])).
% 17.65/12.79 tff(35109,plain,
% 17.65/12.79 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v155(constB135)) | (~v130(constB135)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v130(constB135)) | (~v155(constB135))))))),
% 17.65/12.79 inference(monotonicity,[status(thm)],[35108])).
% 17.65/12.79 tff(35110,plain,
% 17.65/12.79 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v155(constB135)) | (~v130(constB135)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v130(constB135)) | (~v155(constB135))))))),
% 17.65/12.80 inference(transitivity,[status(thm)],[35109, 35107])).
% 17.65/12.80 tff(35111,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v155(constB135)) | (~v130(constB135)))))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35112,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v130(constB135)) | (~v155(constB135)))))),
% 17.65/12.80 inference(modus_ponens,[status(thm)],[35111, 35110])).
% 17.65/12.80 tff(35113,plain,
% 17.65/12.80 (v164(constB135) <=> (~((~v130(constB135)) | (~v155(constB135))))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35112, 96])).
% 17.65/12.80 tff(35114,plain,
% 17.65/12.80 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB135) <=> v152(constB135))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35115,plain,
% 17.65/12.80 (v130(constB135) <=> v152(constB135)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35114, 361])).
% 17.65/12.80 tff(35116,plain,
% 17.65/12.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB134, constB135)) | (v152(constB135) <=> v150(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB134, constB135)) | (v152(constB135) <=> v150(constB134)))),
% 17.65/12.80 inference(rewrite,[status(thm)],[])).
% 17.65/12.80 tff(35117,plain,
% 17.65/12.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB134, constB135)) | (v152(constB135) <=> v150(constB134)))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35118,plain,
% 17.65/12.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB134, constB135)) | (v152(constB135) <=> v150(constB134))),
% 17.65/12.80 inference(modus_ponens,[status(thm)],[35117, 35116])).
% 17.65/12.80 tff(35119,plain,
% 17.65/12.80 (v152(constB135) <=> v150(constB134)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35118, 15507, 373])).
% 17.65/12.80 tff(35120,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB134) <=> (v153(constB134) | v154(constB134)))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35121,plain,
% 17.65/12.80 (v150(constB134) <=> (v153(constB134) | v154(constB134))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35120, 387])).
% 17.65/12.80 tff(35122,plain,
% 17.65/12.80 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB134) <=> (~((~v132(constB134)) | (~v155(constB134)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB134) <=> (~((~v132(constB134)) | (~v155(constB134))))))),
% 17.65/12.80 inference(rewrite,[status(thm)],[])).
% 17.65/12.80 tff(35123,plain,
% 17.65/12.80 ((v154(constB134) <=> (~((~v155(constB134)) | (~v132(constB134))))) <=> (v154(constB134) <=> (~((~v132(constB134)) | (~v155(constB134)))))),
% 17.65/12.80 inference(rewrite,[status(thm)],[])).
% 17.65/12.80 tff(35124,plain,
% 17.65/12.80 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB134) <=> (~((~v155(constB134)) | (~v132(constB134)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB134) <=> (~((~v132(constB134)) | (~v155(constB134))))))),
% 17.65/12.80 inference(monotonicity,[status(thm)],[35123])).
% 17.65/12.80 tff(35125,plain,
% 17.65/12.80 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB134) <=> (~((~v155(constB134)) | (~v132(constB134)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB134) <=> (~((~v132(constB134)) | (~v155(constB134))))))),
% 17.65/12.80 inference(transitivity,[status(thm)],[35124, 35122])).
% 17.65/12.80 tff(35126,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB134) <=> (~((~v155(constB134)) | (~v132(constB134)))))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35127,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB134) <=> (~((~v132(constB134)) | (~v155(constB134)))))),
% 17.65/12.80 inference(modus_ponens,[status(thm)],[35126, 35125])).
% 17.65/12.80 tff(35128,plain,
% 17.65/12.80 (v154(constB134) <=> (~((~v132(constB134)) | (~v155(constB134))))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35127, 399])).
% 17.65/12.80 tff(35129,plain,
% 17.65/12.80 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB134) <=> (~((~v141(constB134)) | (~v143(constB134)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB134) <=> (~((~v141(constB134)) | (~v143(constB134))))))),
% 17.65/12.80 inference(rewrite,[status(thm)],[])).
% 17.65/12.80 tff(35130,plain,
% 17.65/12.80 ((v155(constB134) <=> (~((~v143(constB134)) | (~v141(constB134))))) <=> (v155(constB134) <=> (~((~v141(constB134)) | (~v143(constB134)))))),
% 17.65/12.80 inference(rewrite,[status(thm)],[])).
% 17.65/12.80 tff(35131,plain,
% 17.65/12.80 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB134) <=> (~((~v143(constB134)) | (~v141(constB134)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB134) <=> (~((~v141(constB134)) | (~v143(constB134))))))),
% 17.65/12.80 inference(monotonicity,[status(thm)],[35130])).
% 17.65/12.80 tff(35132,plain,
% 17.65/12.80 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB134) <=> (~((~v143(constB134)) | (~v141(constB134)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB134) <=> (~((~v141(constB134)) | (~v143(constB134))))))),
% 17.65/12.80 inference(transitivity,[status(thm)],[35131, 35129])).
% 17.65/12.80 tff(35133,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB134) <=> (~((~v143(constB134)) | (~v141(constB134)))))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35134,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB134) <=> (~((~v141(constB134)) | (~v143(constB134)))))),
% 17.65/12.80 inference(modus_ponens,[status(thm)],[35133, 35132])).
% 17.65/12.80 tff(35135,plain,
% 17.65/12.80 (v155(constB134) <=> (~((~v141(constB134)) | (~v143(constB134))))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35134, 113])).
% 17.65/12.80 tff(35136,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB134) <=> (~((~v39(constB134)) | (~v9(constB134)))))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35137,plain,
% 17.65/12.80 (v141(constB134) <=> (~((~v39(constB134)) | (~v9(constB134))))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35136, 130])).
% 17.65/12.80 tff(35138,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB134)) <=> v1(constB134))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35139,plain,
% 17.65/12.80 ((~v39(constB134)) <=> v1(constB134)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35138, 139])).
% 17.65/12.80 tff(35140,plain,
% 17.65/12.80 ((~((~v39(constB134)) <=> v1(constB134))) | (~v39(constB134)) | (~v1(constB134))),
% 17.65/12.80 inference(tautology,[status(thm)],[])).
% 17.65/12.80 tff(35141,plain,
% 17.65/12.80 ((~((~v39(constB134)) <=> v1(constB134))) | (~v39(constB134))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35140, 19152])).
% 17.65/12.80 tff(35142,plain,
% 17.65/12.80 (~v39(constB134)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35141, 35139])).
% 17.65/12.80 tff(35143,plain,
% 17.65/12.80 (((~v39(constB134)) | (~v9(constB134))) | v39(constB134)),
% 17.65/12.80 inference(tautology,[status(thm)],[])).
% 17.65/12.80 tff(35144,plain,
% 17.65/12.80 ((~v39(constB134)) | (~v9(constB134))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35143, 35142])).
% 17.65/12.80 tff(35145,plain,
% 17.65/12.80 ((~(v141(constB134) <=> (~((~v39(constB134)) | (~v9(constB134)))))) | (~v141(constB134)) | (~((~v39(constB134)) | (~v9(constB134))))),
% 17.65/12.80 inference(tautology,[status(thm)],[])).
% 17.65/12.80 tff(35146,plain,
% 17.65/12.80 ((~(v141(constB134) <=> (~((~v39(constB134)) | (~v9(constB134)))))) | (~v141(constB134))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35145, 35144])).
% 17.65/12.80 tff(35147,plain,
% 17.65/12.80 (~v141(constB134)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35146, 35137])).
% 17.65/12.80 tff(35148,plain,
% 17.65/12.80 (((~v141(constB134)) | (~v143(constB134))) | v141(constB134)),
% 17.65/12.80 inference(tautology,[status(thm)],[])).
% 17.65/12.80 tff(35149,plain,
% 17.65/12.80 ((~v141(constB134)) | (~v143(constB134))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35148, 35147])).
% 17.65/12.80 tff(35150,plain,
% 17.65/12.80 ((~(v155(constB134) <=> (~((~v141(constB134)) | (~v143(constB134)))))) | (~v155(constB134)) | (~((~v141(constB134)) | (~v143(constB134))))),
% 17.65/12.80 inference(tautology,[status(thm)],[])).
% 17.65/12.80 tff(35151,plain,
% 17.65/12.80 ((~(v155(constB134) <=> (~((~v141(constB134)) | (~v143(constB134)))))) | (~v155(constB134))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35150, 35149])).
% 17.65/12.80 tff(35152,plain,
% 17.65/12.80 (~v155(constB134)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35151, 35135])).
% 17.65/12.80 tff(35153,plain,
% 17.65/12.80 (((~v132(constB134)) | (~v155(constB134))) | v155(constB134)),
% 17.65/12.80 inference(tautology,[status(thm)],[])).
% 17.65/12.80 tff(35154,plain,
% 17.65/12.80 ((~v132(constB134)) | (~v155(constB134))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35153, 35152])).
% 17.65/12.80 tff(35155,plain,
% 17.65/12.80 ((~(v154(constB134) <=> (~((~v132(constB134)) | (~v155(constB134)))))) | (~v154(constB134)) | (~((~v132(constB134)) | (~v155(constB134))))),
% 17.65/12.80 inference(tautology,[status(thm)],[])).
% 17.65/12.80 tff(35156,plain,
% 17.65/12.80 (~v154(constB134)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35155, 35154, 35128])).
% 17.65/12.80 tff(35157,plain,
% 17.65/12.80 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB134) <=> (~((~v130(constB134)) | (~v139(constB134)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB134) <=> (~((~v130(constB134)) | (~v139(constB134))))))),
% 17.65/12.80 inference(rewrite,[status(thm)],[])).
% 17.65/12.80 tff(35158,plain,
% 17.65/12.80 ((v153(constB134) <=> (~((~v139(constB134)) | (~v130(constB134))))) <=> (v153(constB134) <=> (~((~v130(constB134)) | (~v139(constB134)))))),
% 17.65/12.80 inference(rewrite,[status(thm)],[])).
% 17.65/12.80 tff(35159,plain,
% 17.65/12.80 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB134) <=> (~((~v139(constB134)) | (~v130(constB134)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB134) <=> (~((~v130(constB134)) | (~v139(constB134))))))),
% 17.65/12.80 inference(monotonicity,[status(thm)],[35158])).
% 17.65/12.80 tff(35160,plain,
% 17.65/12.80 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB134) <=> (~((~v139(constB134)) | (~v130(constB134)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB134) <=> (~((~v130(constB134)) | (~v139(constB134))))))),
% 17.65/12.80 inference(transitivity,[status(thm)],[35159, 35157])).
% 17.65/12.80 tff(35161,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB134) <=> (~((~v139(constB134)) | (~v130(constB134)))))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35162,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB134) <=> (~((~v130(constB134)) | (~v139(constB134)))))),
% 17.65/12.80 inference(modus_ponens,[status(thm)],[35161, 35160])).
% 17.65/12.80 tff(35163,plain,
% 17.65/12.80 (v153(constB134) <=> (~((~v130(constB134)) | (~v139(constB134))))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35162, 447])).
% 17.65/12.80 tff(35164,plain,
% 17.65/12.80 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB134) <=> v152(constB134))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35165,plain,
% 17.65/12.80 (v130(constB134) <=> v152(constB134)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35164, 361])).
% 17.65/12.80 tff(35166,plain,
% 17.65/12.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB133, constB134)) | (v152(constB134) <=> v150(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB133, constB134)) | (v152(constB134) <=> v150(constB133)))),
% 17.65/12.80 inference(rewrite,[status(thm)],[])).
% 17.65/12.80 tff(35167,plain,
% 17.65/12.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB133, constB134)) | (v152(constB134) <=> v150(constB133)))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35168,plain,
% 17.65/12.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB133, constB134)) | (v152(constB134) <=> v150(constB133))),
% 17.65/12.80 inference(modus_ponens,[status(thm)],[35167, 35166])).
% 17.65/12.80 tff(35169,plain,
% 17.65/12.80 (v152(constB134) <=> v150(constB133)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35168, 15543, 373])).
% 17.65/12.80 tff(35170,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB133) <=> (v153(constB133) | v154(constB133)))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35171,plain,
% 17.65/12.80 (v150(constB133) <=> (v153(constB133) | v154(constB133))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35170, 387])).
% 17.65/12.80 tff(35172,plain,
% 17.65/12.80 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB133) <=> (~((~v130(constB133)) | (~v139(constB133)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB133) <=> (~((~v130(constB133)) | (~v139(constB133))))))),
% 17.65/12.80 inference(rewrite,[status(thm)],[])).
% 17.65/12.80 tff(35173,plain,
% 17.65/12.80 ((v153(constB133) <=> (~((~v139(constB133)) | (~v130(constB133))))) <=> (v153(constB133) <=> (~((~v130(constB133)) | (~v139(constB133)))))),
% 17.65/12.80 inference(rewrite,[status(thm)],[])).
% 17.65/12.80 tff(35174,plain,
% 17.65/12.80 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB133) <=> (~((~v139(constB133)) | (~v130(constB133)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB133) <=> (~((~v130(constB133)) | (~v139(constB133))))))),
% 17.65/12.80 inference(monotonicity,[status(thm)],[35173])).
% 17.65/12.80 tff(35175,plain,
% 17.65/12.80 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB133) <=> (~((~v139(constB133)) | (~v130(constB133)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB133) <=> (~((~v130(constB133)) | (~v139(constB133))))))),
% 17.65/12.80 inference(transitivity,[status(thm)],[35174, 35172])).
% 17.65/12.80 tff(35176,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB133) <=> (~((~v139(constB133)) | (~v130(constB133)))))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35177,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB133) <=> (~((~v130(constB133)) | (~v139(constB133)))))),
% 17.65/12.80 inference(modus_ponens,[status(thm)],[35176, 35175])).
% 17.65/12.80 tff(35178,plain,
% 17.65/12.80 (v153(constB133) <=> (~((~v130(constB133)) | (~v139(constB133))))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35177, 447])).
% 17.65/12.80 tff(35179,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB133)) <=> v140(constB133))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35180,plain,
% 17.65/12.80 ((~v139(constB133)) <=> v140(constB133)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35179, 203])).
% 17.65/12.80 tff(35181,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB133) <=> (v141(constB133) | v26(constB133)))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35182,plain,
% 17.65/12.80 (v140(constB133) <=> (v141(constB133) | v26(constB133))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35181, 212])).
% 17.65/12.80 tff(35183,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB133) <=> (~((~v39(constB133)) | (~v9(constB133)))))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35184,plain,
% 17.65/12.80 (v141(constB133) <=> (~((~v39(constB133)) | (~v9(constB133))))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35183, 130])).
% 17.65/12.80 tff(35185,plain,
% 17.65/12.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB133, constB134)) | (v13(constB134) <=> v9(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB133, constB134)) | (v13(constB134) <=> v9(constB133)))),
% 17.65/12.80 inference(rewrite,[status(thm)],[])).
% 17.65/12.80 tff(35186,plain,
% 17.65/12.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB133, constB134)) | (v13(constB134) <=> v9(constB133)))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35187,plain,
% 17.65/12.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB133, constB134)) | (v13(constB134) <=> v9(constB133))),
% 17.65/12.80 inference(modus_ponens,[status(thm)],[35186, 35185])).
% 17.65/12.80 tff(35188,plain,
% 17.65/12.80 (v13(constB134) <=> v9(constB133)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35187, 15543, 226])).
% 17.65/12.80 tff(35189,plain,
% 17.65/12.80 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB134) <=> v13(constB134))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35190,plain,
% 17.65/12.80 (v6(constB134) <=> v13(constB134)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35189, 240])).
% 17.65/12.80 tff(35191,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB134)) <=> v6(constB134))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35192,plain,
% 17.65/12.80 ((~v21(constB134)) <=> v6(constB134)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35191, 249])).
% 17.65/12.80 tff(35193,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB134) <=> (v20(constB134) | v21(constB134)))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35194,plain,
% 17.65/12.80 (v19(constB134) <=> (v20(constB134) | v21(constB134))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35193, 258])).
% 17.65/12.80 tff(35195,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB134) <=> (~((~v19(constB134)) | (~v22(constB134)))))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35196,plain,
% 17.65/12.80 (v18(constB134) <=> (~((~v19(constB134)) | (~v22(constB134))))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35195, 270])).
% 17.65/12.80 tff(35197,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB134)) <=> v18(constB134))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35198,plain,
% 17.65/12.80 ((~v4(constB134)) <=> v18(constB134)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35197, 279])).
% 17.65/12.80 tff(35199,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB134)),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35200,plain,
% 17.65/12.80 (v4(constB134)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35199, 288])).
% 17.65/12.80 tff(35201,plain,
% 17.65/12.80 ((~((~v4(constB134)) <=> v18(constB134))) | (~v4(constB134)) | (~v18(constB134))),
% 17.65/12.80 inference(tautology,[status(thm)],[])).
% 17.65/12.80 tff(35202,plain,
% 17.65/12.80 (~v18(constB134)),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35201, 35200, 35198])).
% 17.65/12.80 tff(35203,plain,
% 17.65/12.80 ((~(v18(constB134) <=> (~((~v19(constB134)) | (~v22(constB134)))))) | v18(constB134) | ((~v19(constB134)) | (~v22(constB134)))),
% 17.65/12.80 inference(tautology,[status(thm)],[])).
% 17.65/12.80 tff(35204,plain,
% 17.65/12.80 ((~v19(constB134)) | (~v22(constB134))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35203, 35202, 35196])).
% 17.65/12.80 tff(35205,plain,
% 17.65/12.80 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB134) <=> (v1(constB134) | v6(constB134)))),
% 17.65/12.80 inference(quant_inst,[status(thm)],[])).
% 17.65/12.80 tff(35206,plain,
% 17.65/12.80 (v22(constB134) <=> (v1(constB134) | v6(constB134))),
% 17.65/12.80 inference(unit_resolution,[status(thm)],[35205, 301])).
% 17.65/12.80 tff(35207,plain,
% 17.65/12.80 ((v1(constB134) | v6(constB134)) | (~v1(constB134))),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35208,plain,
% 17.65/12.81 (v1(constB134) | v6(constB134)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35207, 19152])).
% 17.65/12.81 tff(35209,plain,
% 17.65/12.81 ((~(v22(constB134) <=> (v1(constB134) | v6(constB134)))) | v22(constB134) | (~(v1(constB134) | v6(constB134)))),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35210,plain,
% 17.65/12.81 ((~(v22(constB134) <=> (v1(constB134) | v6(constB134)))) | v22(constB134)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35209, 35208])).
% 17.65/12.81 tff(35211,plain,
% 17.65/12.81 (v22(constB134)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35210, 35206])).
% 17.65/12.81 tff(35212,plain,
% 17.65/12.81 ((~((~v19(constB134)) | (~v22(constB134)))) | (~v19(constB134)) | (~v22(constB134))),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35213,plain,
% 17.65/12.81 ((~((~v19(constB134)) | (~v22(constB134)))) | (~v19(constB134))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35212, 35211])).
% 17.65/12.81 tff(35214,plain,
% 17.65/12.81 (~v19(constB134)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35213, 35204])).
% 17.65/12.81 tff(35215,plain,
% 17.65/12.81 ((~(v19(constB134) <=> (v20(constB134) | v21(constB134)))) | v19(constB134) | (~(v20(constB134) | v21(constB134)))),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35216,plain,
% 17.65/12.81 (~(v20(constB134) | v21(constB134))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35215, 35214, 35194])).
% 17.65/12.81 tff(35217,plain,
% 17.65/12.81 ((v20(constB134) | v21(constB134)) | (~v21(constB134))),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35218,plain,
% 17.65/12.81 (~v21(constB134)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35217, 35216])).
% 17.65/12.81 tff(35219,plain,
% 17.65/12.81 ((~((~v21(constB134)) <=> v6(constB134))) | v21(constB134) | v6(constB134)),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35220,plain,
% 17.65/12.81 (v6(constB134)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35219, 35218, 35192])).
% 17.65/12.81 tff(35221,plain,
% 17.65/12.81 ((~(v6(constB134) <=> v13(constB134))) | (~v6(constB134)) | v13(constB134)),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35222,plain,
% 17.65/12.81 (v13(constB134)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35221, 35220, 35190])).
% 17.65/12.81 tff(35223,plain,
% 17.65/12.81 ((~(v13(constB134) <=> v9(constB133))) | (~v13(constB134)) | v9(constB133)),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35224,plain,
% 17.65/12.81 (v9(constB133)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35223, 35222, 35188])).
% 17.65/12.81 tff(35225,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB133)) <=> v1(constB133))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35226,plain,
% 17.65/12.81 ((~v39(constB133)) <=> v1(constB133)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35225, 139])).
% 17.65/12.81 tff(35227,plain,
% 17.65/12.81 ((~((~v39(constB133)) <=> v1(constB133))) | v39(constB133) | v1(constB133)),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35228,plain,
% 17.65/12.81 ((~((~v39(constB133)) <=> v1(constB133))) | v39(constB133)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35227, 15587])).
% 17.65/12.81 tff(35229,plain,
% 17.65/12.81 (v39(constB133)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35228, 35226])).
% 17.65/12.81 tff(35230,plain,
% 17.65/12.81 ((~((~v39(constB133)) | (~v9(constB133)))) | (~v39(constB133)) | (~v9(constB133))),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35231,plain,
% 17.65/12.81 ((~((~v39(constB133)) | (~v9(constB133)))) | (~v9(constB133))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35230, 35229])).
% 17.65/12.81 tff(35232,plain,
% 17.65/12.81 (~((~v39(constB133)) | (~v9(constB133)))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35231, 35224])).
% 17.65/12.81 tff(35233,plain,
% 17.65/12.81 ((~(v141(constB133) <=> (~((~v39(constB133)) | (~v9(constB133)))))) | v141(constB133) | ((~v39(constB133)) | (~v9(constB133)))),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35234,plain,
% 17.65/12.81 (v141(constB133)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35233, 35232, 35184])).
% 17.65/12.81 tff(35235,plain,
% 17.65/12.81 ((v141(constB133) | v26(constB133)) | (~v141(constB133))),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35236,plain,
% 17.65/12.81 (v141(constB133) | v26(constB133)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35235, 35234])).
% 17.65/12.81 tff(35237,plain,
% 17.65/12.81 ((~(v140(constB133) <=> (v141(constB133) | v26(constB133)))) | v140(constB133) | (~(v141(constB133) | v26(constB133)))),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35238,plain,
% 17.65/12.81 (v140(constB133)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35237, 35236, 35182])).
% 17.65/12.81 tff(35239,plain,
% 17.65/12.81 ((~((~v139(constB133)) <=> v140(constB133))) | (~v139(constB133)) | (~v140(constB133))),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35240,plain,
% 17.65/12.81 (~v139(constB133)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35239, 35238, 35180])).
% 17.65/12.81 tff(35241,plain,
% 17.65/12.81 (((~v130(constB133)) | (~v139(constB133))) | v139(constB133)),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35242,plain,
% 17.65/12.81 ((~v130(constB133)) | (~v139(constB133))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35241, 35240])).
% 17.65/12.81 tff(35243,plain,
% 17.65/12.81 ((~(v153(constB133) <=> (~((~v130(constB133)) | (~v139(constB133)))))) | (~v153(constB133)) | (~((~v130(constB133)) | (~v139(constB133))))),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35244,plain,
% 17.65/12.81 (~v153(constB133)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35243, 35242, 35178])).
% 17.65/12.81 tff(35245,plain,
% 17.65/12.81 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB133) <=> (~((~v132(constB133)) | (~v155(constB133)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB133) <=> (~((~v132(constB133)) | (~v155(constB133))))))),
% 17.65/12.81 inference(rewrite,[status(thm)],[])).
% 17.65/12.81 tff(35246,plain,
% 17.65/12.81 ((v154(constB133) <=> (~((~v155(constB133)) | (~v132(constB133))))) <=> (v154(constB133) <=> (~((~v132(constB133)) | (~v155(constB133)))))),
% 17.65/12.81 inference(rewrite,[status(thm)],[])).
% 17.65/12.81 tff(35247,plain,
% 17.65/12.81 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB133) <=> (~((~v155(constB133)) | (~v132(constB133)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB133) <=> (~((~v132(constB133)) | (~v155(constB133))))))),
% 17.65/12.81 inference(monotonicity,[status(thm)],[35246])).
% 17.65/12.81 tff(35248,plain,
% 17.65/12.81 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB133) <=> (~((~v155(constB133)) | (~v132(constB133)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB133) <=> (~((~v132(constB133)) | (~v155(constB133))))))),
% 17.65/12.81 inference(transitivity,[status(thm)],[35247, 35245])).
% 17.65/12.81 tff(35249,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB133) <=> (~((~v155(constB133)) | (~v132(constB133)))))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35250,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB133) <=> (~((~v132(constB133)) | (~v155(constB133)))))),
% 17.65/12.81 inference(modus_ponens,[status(thm)],[35249, 35248])).
% 17.65/12.81 tff(35251,plain,
% 17.65/12.81 (v154(constB133) <=> (~((~v132(constB133)) | (~v155(constB133))))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35250, 399])).
% 17.65/12.81 tff(35252,plain,
% 17.65/12.81 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB133) <=> v137(constB133))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35253,plain,
% 17.65/12.81 (v132(constB133) <=> v137(constB133)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35252, 558])).
% 17.65/12.81 tff(35254,plain,
% 17.65/12.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB132, constB133)) | (v137(constB133) <=> v135(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB132, constB133)) | (v137(constB133) <=> v135(constB132)))),
% 17.65/12.81 inference(rewrite,[status(thm)],[])).
% 17.65/12.81 tff(35255,plain,
% 17.65/12.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB132, constB133)) | (v137(constB133) <=> v135(constB132)))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35256,plain,
% 17.65/12.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB132, constB133)) | (v137(constB133) <=> v135(constB132))),
% 17.65/12.81 inference(modus_ponens,[status(thm)],[35255, 35254])).
% 17.65/12.81 tff(35257,plain,
% 17.65/12.81 (v137(constB133) <=> v135(constB132)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35256, 15573, 570])).
% 17.65/12.81 tff(35258,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB132) <=> (v138(constB132) | v142(constB132)))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35259,plain,
% 17.65/12.81 (v135(constB132) <=> (v138(constB132) | v142(constB132))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35258, 584])).
% 17.65/12.81 tff(35260,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB132) <=> (~((~v143(constB132)) | (~v144(constB132)))))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35261,plain,
% 17.65/12.81 (v142(constB132) <=> (~((~v143(constB132)) | (~v144(constB132))))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35260, 596])).
% 17.65/12.81 tff(35262,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB132) <=> (~((~v141(constB132)) | (~v145(constB132)))))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35263,plain,
% 17.65/12.81 (v144(constB132) <=> (~((~v141(constB132)) | (~v145(constB132))))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35262, 608])).
% 17.65/12.81 tff(35264,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB132) <=> (~((~v39(constB132)) | (~v9(constB132)))))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35265,plain,
% 17.65/12.81 (v141(constB132) <=> (~((~v39(constB132)) | (~v9(constB132))))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35264, 130])).
% 17.65/12.81 tff(35266,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB132)) <=> v1(constB132))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35267,plain,
% 17.65/12.81 ((~v39(constB132)) <=> v1(constB132)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35266, 139])).
% 17.65/12.81 tff(35268,plain,
% 17.65/12.81 ((~((~v39(constB132)) <=> v1(constB132))) | (~v39(constB132)) | (~v1(constB132))),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35269,plain,
% 17.65/12.81 ((~((~v39(constB132)) <=> v1(constB132))) | (~v39(constB132))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35268, 19006])).
% 17.65/12.81 tff(35270,plain,
% 17.65/12.81 (~v39(constB132)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35269, 35267])).
% 17.65/12.81 tff(35271,plain,
% 17.65/12.81 (((~v39(constB132)) | (~v9(constB132))) | v39(constB132)),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35272,plain,
% 17.65/12.81 ((~v39(constB132)) | (~v9(constB132))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35271, 35270])).
% 17.65/12.81 tff(35273,plain,
% 17.65/12.81 ((~(v141(constB132) <=> (~((~v39(constB132)) | (~v9(constB132)))))) | (~v141(constB132)) | (~((~v39(constB132)) | (~v9(constB132))))),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35274,plain,
% 17.65/12.81 ((~(v141(constB132) <=> (~((~v39(constB132)) | (~v9(constB132)))))) | (~v141(constB132))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35273, 35272])).
% 17.65/12.81 tff(35275,plain,
% 17.65/12.81 (~v141(constB132)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35274, 35265])).
% 17.65/12.81 tff(35276,plain,
% 17.65/12.81 (((~v141(constB132)) | (~v145(constB132))) | v141(constB132)),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35277,plain,
% 17.65/12.81 ((~v141(constB132)) | (~v145(constB132))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35276, 35275])).
% 17.65/12.81 tff(35278,plain,
% 17.65/12.81 ((~(v144(constB132) <=> (~((~v141(constB132)) | (~v145(constB132)))))) | (~v144(constB132)) | (~((~v141(constB132)) | (~v145(constB132))))),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35279,plain,
% 17.65/12.81 ((~(v144(constB132) <=> (~((~v141(constB132)) | (~v145(constB132)))))) | (~v144(constB132))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35278, 35277])).
% 17.65/12.81 tff(35280,plain,
% 17.65/12.81 (~v144(constB132)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35279, 35263])).
% 17.65/12.81 tff(35281,plain,
% 17.65/12.81 (((~v143(constB132)) | (~v144(constB132))) | v144(constB132)),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35282,plain,
% 17.65/12.81 ((~v143(constB132)) | (~v144(constB132))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35281, 35280])).
% 17.65/12.81 tff(35283,plain,
% 17.65/12.81 ((~(v142(constB132) <=> (~((~v143(constB132)) | (~v144(constB132)))))) | (~v142(constB132)) | (~((~v143(constB132)) | (~v144(constB132))))),
% 17.65/12.81 inference(tautology,[status(thm)],[])).
% 17.65/12.81 tff(35284,plain,
% 17.65/12.81 (~v142(constB132)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35283, 35282, 35261])).
% 17.65/12.81 tff(35285,plain,
% 17.65/12.81 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132))))))),
% 17.65/12.81 inference(rewrite,[status(thm)],[])).
% 17.65/12.81 tff(35286,plain,
% 17.65/12.81 ((v138(constB132) <=> (~((~v139(constB132)) | (~v132(constB132))))) <=> (v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132)))))),
% 17.65/12.81 inference(rewrite,[status(thm)],[])).
% 17.65/12.81 tff(35287,plain,
% 17.65/12.81 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v139(constB132)) | (~v132(constB132)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132))))))),
% 17.65/12.81 inference(monotonicity,[status(thm)],[35286])).
% 17.65/12.81 tff(35288,plain,
% 17.65/12.81 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v139(constB132)) | (~v132(constB132)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132))))))),
% 17.65/12.81 inference(transitivity,[status(thm)],[35287, 35285])).
% 17.65/12.81 tff(35289,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v139(constB132)) | (~v132(constB132)))))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35290,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132)))))),
% 17.65/12.81 inference(modus_ponens,[status(thm)],[35289, 35288])).
% 17.65/12.81 tff(35291,plain,
% 17.65/12.81 (v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132))))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35290, 644])).
% 17.65/12.81 tff(35292,plain,
% 17.65/12.81 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB132) <=> v137(constB132))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35293,plain,
% 17.65/12.81 (v132(constB132) <=> v137(constB132)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35292, 558])).
% 17.65/12.81 tff(35294,plain,
% 17.65/12.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB131, constB132)) | (v137(constB132) <=> v135(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB131, constB132)) | (v137(constB132) <=> v135(constB131)))),
% 17.65/12.81 inference(rewrite,[status(thm)],[])).
% 17.65/12.81 tff(35295,plain,
% 17.65/12.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB131, constB132)) | (v137(constB132) <=> v135(constB131)))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35296,plain,
% 17.65/12.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB131, constB132)) | (v137(constB132) <=> v135(constB131))),
% 17.65/12.81 inference(modus_ponens,[status(thm)],[35295, 35294])).
% 17.65/12.81 tff(35297,plain,
% 17.65/12.81 (v137(constB132) <=> v135(constB131)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35296, 15609, 570])).
% 17.65/12.81 tff(35298,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB131) <=> (v138(constB131) | v142(constB131)))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35299,plain,
% 17.65/12.81 (v135(constB131) <=> (v138(constB131) | v142(constB131))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35298, 584])).
% 17.65/12.81 tff(35300,plain,
% 17.65/12.81 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131))))))),
% 17.65/12.81 inference(rewrite,[status(thm)],[])).
% 17.65/12.81 tff(35301,plain,
% 17.65/12.81 ((v138(constB131) <=> (~((~v139(constB131)) | (~v132(constB131))))) <=> (v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131)))))),
% 17.65/12.81 inference(rewrite,[status(thm)],[])).
% 17.65/12.81 tff(35302,plain,
% 17.65/12.81 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v139(constB131)) | (~v132(constB131)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131))))))),
% 17.65/12.81 inference(monotonicity,[status(thm)],[35301])).
% 17.65/12.81 tff(35303,plain,
% 17.65/12.81 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v139(constB131)) | (~v132(constB131)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131))))))),
% 17.65/12.81 inference(transitivity,[status(thm)],[35302, 35300])).
% 17.65/12.81 tff(35304,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v139(constB131)) | (~v132(constB131)))))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35305,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131)))))),
% 17.65/12.81 inference(modus_ponens,[status(thm)],[35304, 35303])).
% 17.65/12.81 tff(35306,plain,
% 17.65/12.81 (v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131))))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35305, 644])).
% 17.65/12.81 tff(35307,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB131)) <=> v140(constB131))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35308,plain,
% 17.65/12.81 ((~v139(constB131)) <=> v140(constB131)),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35307, 203])).
% 17.65/12.81 tff(35309,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB131) <=> (v141(constB131) | v26(constB131)))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35310,plain,
% 17.65/12.81 (v140(constB131) <=> (v141(constB131) | v26(constB131))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35309, 212])).
% 17.65/12.81 tff(35311,plain,
% 17.65/12.81 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB131) <=> (~((~v39(constB131)) | (~v9(constB131)))))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35312,plain,
% 17.65/12.81 (v141(constB131) <=> (~((~v39(constB131)) | (~v9(constB131))))),
% 17.65/12.81 inference(unit_resolution,[status(thm)],[35311, 130])).
% 17.65/12.81 tff(35313,plain,
% 17.65/12.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131)))),
% 17.65/12.81 inference(rewrite,[status(thm)],[])).
% 17.65/12.81 tff(35314,plain,
% 17.65/12.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131)))),
% 17.65/12.81 inference(quant_inst,[status(thm)],[])).
% 17.65/12.81 tff(35315,plain,
% 17.65/12.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131))),
% 17.65/12.81 inference(modus_ponens,[status(thm)],[35314, 35313])).
% 17.65/12.82 tff(35316,plain,
% 17.65/12.82 (v13(constB132) <=> v9(constB131)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35315, 15609, 226])).
% 17.65/12.82 tff(35317,plain,
% 17.65/12.82 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB132) <=> v13(constB132))),
% 17.65/12.82 inference(quant_inst,[status(thm)],[])).
% 17.65/12.82 tff(35318,plain,
% 17.65/12.82 (v6(constB132) <=> v13(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35317, 240])).
% 17.65/12.82 tff(35319,plain,
% 17.65/12.82 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB132)) <=> v6(constB132))),
% 17.65/12.82 inference(quant_inst,[status(thm)],[])).
% 17.65/12.82 tff(35320,plain,
% 17.65/12.82 ((~v21(constB132)) <=> v6(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35319, 249])).
% 17.65/12.82 tff(35321,plain,
% 17.65/12.82 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB132) <=> (v20(constB132) | v21(constB132)))),
% 17.65/12.82 inference(quant_inst,[status(thm)],[])).
% 17.65/12.82 tff(35322,plain,
% 17.65/12.82 (v19(constB132) <=> (v20(constB132) | v21(constB132))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35321, 258])).
% 17.65/12.82 tff(35323,plain,
% 17.65/12.82 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB132) <=> (~((~v19(constB132)) | (~v22(constB132)))))),
% 17.65/12.82 inference(quant_inst,[status(thm)],[])).
% 17.65/12.82 tff(35324,plain,
% 17.65/12.82 (v18(constB132) <=> (~((~v19(constB132)) | (~v22(constB132))))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35323, 270])).
% 17.65/12.82 tff(35325,plain,
% 17.65/12.82 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB132)) <=> v18(constB132))),
% 17.65/12.82 inference(quant_inst,[status(thm)],[])).
% 17.65/12.82 tff(35326,plain,
% 17.65/12.82 ((~v4(constB132)) <=> v18(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35325, 279])).
% 17.65/12.82 tff(35327,plain,
% 17.65/12.82 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB132)),
% 17.65/12.82 inference(quant_inst,[status(thm)],[])).
% 17.65/12.82 tff(35328,plain,
% 17.65/12.82 (v4(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35327, 288])).
% 17.65/12.82 tff(35329,plain,
% 17.65/12.82 ((~((~v4(constB132)) <=> v18(constB132))) | (~v4(constB132)) | (~v18(constB132))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35330,plain,
% 17.65/12.82 (~v18(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35329, 35328, 35326])).
% 17.65/12.82 tff(35331,plain,
% 17.65/12.82 ((~(v18(constB132) <=> (~((~v19(constB132)) | (~v22(constB132)))))) | v18(constB132) | ((~v19(constB132)) | (~v22(constB132)))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35332,plain,
% 17.65/12.82 ((~v19(constB132)) | (~v22(constB132))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35331, 35330, 35324])).
% 17.65/12.82 tff(35333,plain,
% 17.65/12.82 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB132) <=> (v1(constB132) | v6(constB132)))),
% 17.65/12.82 inference(quant_inst,[status(thm)],[])).
% 17.65/12.82 tff(35334,plain,
% 17.65/12.82 (v22(constB132) <=> (v1(constB132) | v6(constB132))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35333, 301])).
% 17.65/12.82 tff(35335,plain,
% 17.65/12.82 ((v1(constB132) | v6(constB132)) | (~v1(constB132))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35336,plain,
% 17.65/12.82 (v1(constB132) | v6(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35335, 19006])).
% 17.65/12.82 tff(35337,plain,
% 17.65/12.82 ((~(v22(constB132) <=> (v1(constB132) | v6(constB132)))) | v22(constB132) | (~(v1(constB132) | v6(constB132)))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35338,plain,
% 17.65/12.82 ((~(v22(constB132) <=> (v1(constB132) | v6(constB132)))) | v22(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35337, 35336])).
% 17.65/12.82 tff(35339,plain,
% 17.65/12.82 (v22(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35338, 35334])).
% 17.65/12.82 tff(35340,plain,
% 17.65/12.82 ((~((~v19(constB132)) | (~v22(constB132)))) | (~v19(constB132)) | (~v22(constB132))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35341,plain,
% 17.65/12.82 ((~((~v19(constB132)) | (~v22(constB132)))) | (~v19(constB132))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35340, 35339])).
% 17.65/12.82 tff(35342,plain,
% 17.65/12.82 (~v19(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35341, 35332])).
% 17.65/12.82 tff(35343,plain,
% 17.65/12.82 ((~(v19(constB132) <=> (v20(constB132) | v21(constB132)))) | v19(constB132) | (~(v20(constB132) | v21(constB132)))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35344,plain,
% 17.65/12.82 (~(v20(constB132) | v21(constB132))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35343, 35342, 35322])).
% 17.65/12.82 tff(35345,plain,
% 17.65/12.82 ((v20(constB132) | v21(constB132)) | (~v21(constB132))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35346,plain,
% 17.65/12.82 (~v21(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35345, 35344])).
% 17.65/12.82 tff(35347,plain,
% 17.65/12.82 ((~((~v21(constB132)) <=> v6(constB132))) | v21(constB132) | v6(constB132)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35348,plain,
% 17.65/12.82 (v6(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35347, 35346, 35320])).
% 17.65/12.82 tff(35349,plain,
% 17.65/12.82 ((~(v6(constB132) <=> v13(constB132))) | (~v6(constB132)) | v13(constB132)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35350,plain,
% 17.65/12.82 (v13(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35349, 35348, 35318])).
% 17.65/12.82 tff(35351,plain,
% 17.65/12.82 ((~(v13(constB132) <=> v9(constB131))) | (~v13(constB132)) | v9(constB131)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35352,plain,
% 17.65/12.82 (v9(constB131)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35351, 35350, 35316])).
% 17.65/12.82 tff(35353,plain,
% 17.65/12.82 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB131)) <=> v1(constB131))),
% 17.65/12.82 inference(quant_inst,[status(thm)],[])).
% 17.65/12.82 tff(35354,plain,
% 17.65/12.82 ((~v39(constB131)) <=> v1(constB131)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35353, 139])).
% 17.65/12.82 tff(35355,plain,
% 17.65/12.82 ((~((~v39(constB131)) <=> v1(constB131))) | v39(constB131) | v1(constB131)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35356,plain,
% 17.65/12.82 ((~((~v39(constB131)) <=> v1(constB131))) | v39(constB131)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35355, 15648])).
% 17.65/12.82 tff(35357,plain,
% 17.65/12.82 (v39(constB131)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35356, 35354])).
% 17.65/12.82 tff(35358,plain,
% 17.65/12.82 ((~((~v39(constB131)) | (~v9(constB131)))) | (~v39(constB131)) | (~v9(constB131))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35359,plain,
% 17.65/12.82 ((~((~v39(constB131)) | (~v9(constB131)))) | (~v9(constB131))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35358, 35357])).
% 17.65/12.82 tff(35360,plain,
% 17.65/12.82 (~((~v39(constB131)) | (~v9(constB131)))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35359, 35352])).
% 17.65/12.82 tff(35361,plain,
% 17.65/12.82 ((~(v141(constB131) <=> (~((~v39(constB131)) | (~v9(constB131)))))) | v141(constB131) | ((~v39(constB131)) | (~v9(constB131)))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35362,plain,
% 17.65/12.82 (v141(constB131)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35361, 35360, 35312])).
% 17.65/12.82 tff(35363,plain,
% 17.65/12.82 ((v141(constB131) | v26(constB131)) | (~v141(constB131))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35364,plain,
% 17.65/12.82 (v141(constB131) | v26(constB131)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35363, 35362])).
% 17.65/12.82 tff(35365,plain,
% 17.65/12.82 ((~(v140(constB131) <=> (v141(constB131) | v26(constB131)))) | v140(constB131) | (~(v141(constB131) | v26(constB131)))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35366,plain,
% 17.65/12.82 (v140(constB131)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35365, 35364, 35310])).
% 17.65/12.82 tff(35367,plain,
% 17.65/12.82 ((~((~v139(constB131)) <=> v140(constB131))) | (~v139(constB131)) | (~v140(constB131))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35368,plain,
% 17.65/12.82 (~v139(constB131)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35367, 35366, 35308])).
% 17.65/12.82 tff(35369,plain,
% 17.65/12.82 (((~v132(constB131)) | (~v139(constB131))) | v139(constB131)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35370,plain,
% 17.65/12.82 ((~v132(constB131)) | (~v139(constB131))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35369, 35368])).
% 17.65/12.82 tff(35371,plain,
% 17.65/12.82 ((~(v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131)))))) | (~v138(constB131)) | (~((~v132(constB131)) | (~v139(constB131))))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35372,plain,
% 17.65/12.82 (~v138(constB131)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35371, 35370, 35306])).
% 17.65/12.82 tff(35373,plain,
% 17.65/12.82 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB131) <=> (~((~v143(constB131)) | (~v144(constB131)))))),
% 17.65/12.82 inference(quant_inst,[status(thm)],[])).
% 17.65/12.82 tff(35374,plain,
% 17.65/12.82 (v142(constB131) <=> (~((~v143(constB131)) | (~v144(constB131))))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35373, 596])).
% 17.65/12.82 tff(35375,plain,
% 17.65/12.82 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB131) <=> (~((~v141(constB131)) | (~v145(constB131)))))),
% 17.65/12.82 inference(quant_inst,[status(thm)],[])).
% 17.65/12.82 tff(35376,plain,
% 17.65/12.82 (v144(constB131) <=> (~((~v141(constB131)) | (~v145(constB131))))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35375, 608])).
% 17.65/12.82 tff(35377,plain,
% 17.65/12.82 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB131) <=> (~(v84(constB131, 1) | v84(constB131, 2) | (~v84(constB131, 0)))))),
% 17.65/12.82 inference(quant_inst,[status(thm)],[])).
% 17.65/12.82 tff(35378,plain,
% 17.65/12.82 (v145(constB131) <=> (~(v84(constB131, 1) | v84(constB131, 2) | (~v84(constB131, 0))))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35377, 755])).
% 17.65/12.82 tff(35379,plain,
% 17.65/12.82 ((v84(constB131, 1) | v84(constB131, 2) | (~v84(constB131, 0))) | (~v84(constB131, 1))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35380,plain,
% 17.65/12.82 (v84(constB131, 1) | v84(constB131, 2) | (~v84(constB131, 0))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35379, 18964])).
% 17.65/12.82 tff(35381,plain,
% 17.65/12.82 ((~(v145(constB131) <=> (~(v84(constB131, 1) | v84(constB131, 2) | (~v84(constB131, 0)))))) | (~v145(constB131)) | (~(v84(constB131, 1) | v84(constB131, 2) | (~v84(constB131, 0))))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35382,plain,
% 17.65/12.82 (~v145(constB131)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35381, 35380, 35378])).
% 17.65/12.82 tff(35383,plain,
% 17.65/12.82 (((~v141(constB131)) | (~v145(constB131))) | v145(constB131)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35384,plain,
% 17.65/12.82 ((~v141(constB131)) | (~v145(constB131))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35383, 35382])).
% 17.65/12.82 tff(35385,plain,
% 17.65/12.82 ((~(v144(constB131) <=> (~((~v141(constB131)) | (~v145(constB131)))))) | (~v144(constB131)) | (~((~v141(constB131)) | (~v145(constB131))))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35386,plain,
% 17.65/12.82 (~v144(constB131)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35385, 35384, 35376])).
% 17.65/12.82 tff(35387,plain,
% 17.65/12.82 (((~v143(constB131)) | (~v144(constB131))) | v144(constB131)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35388,plain,
% 17.65/12.82 ((~v143(constB131)) | (~v144(constB131))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35387, 35386])).
% 17.65/12.82 tff(35389,plain,
% 17.65/12.82 ((~(v142(constB131) <=> (~((~v143(constB131)) | (~v144(constB131)))))) | (~v142(constB131)) | (~((~v143(constB131)) | (~v144(constB131))))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35390,plain,
% 17.65/12.82 (~v142(constB131)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35389, 35388, 35374])).
% 17.65/12.82 tff(35391,plain,
% 17.65/12.82 ((~(v138(constB131) | v142(constB131))) | v138(constB131) | v142(constB131)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35392,plain,
% 17.65/12.82 (~(v138(constB131) | v142(constB131))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35391, 35390, 35372])).
% 17.65/12.82 tff(35393,plain,
% 17.65/12.82 ((~(v135(constB131) <=> (v138(constB131) | v142(constB131)))) | (~v135(constB131)) | (v138(constB131) | v142(constB131))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35394,plain,
% 17.65/12.82 (~v135(constB131)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35393, 35392, 35299])).
% 17.65/12.82 tff(35395,plain,
% 17.65/12.82 ((~(v137(constB132) <=> v135(constB131))) | (~v137(constB132)) | v135(constB131)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35396,plain,
% 17.65/12.82 (~v137(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35395, 35394, 35297])).
% 17.65/12.82 tff(35397,plain,
% 17.65/12.82 ((~(v132(constB132) <=> v137(constB132))) | (~v132(constB132)) | v137(constB132)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35398,plain,
% 17.65/12.82 (~v132(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35397, 35396, 35293])).
% 17.65/12.82 tff(35399,plain,
% 17.65/12.82 (((~v132(constB132)) | (~v139(constB132))) | v132(constB132)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35400,plain,
% 17.65/12.82 ((~v132(constB132)) | (~v139(constB132))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35399, 35398])).
% 17.65/12.82 tff(35401,plain,
% 17.65/12.82 ((~(v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132)))))) | (~v138(constB132)) | (~((~v132(constB132)) | (~v139(constB132))))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35402,plain,
% 17.65/12.82 (~v138(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35401, 35400, 35291])).
% 17.65/12.82 tff(35403,plain,
% 17.65/12.82 ((~(v138(constB132) | v142(constB132))) | v138(constB132) | v142(constB132)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35404,plain,
% 17.65/12.82 (~(v138(constB132) | v142(constB132))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35403, 35402, 35284])).
% 17.65/12.82 tff(35405,plain,
% 17.65/12.82 ((~(v135(constB132) <=> (v138(constB132) | v142(constB132)))) | (~v135(constB132)) | (v138(constB132) | v142(constB132))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35406,plain,
% 17.65/12.82 (~v135(constB132)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35405, 35404, 35259])).
% 17.65/12.82 tff(35407,plain,
% 17.65/12.82 ((~(v137(constB133) <=> v135(constB132))) | (~v137(constB133)) | v135(constB132)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35408,plain,
% 17.65/12.82 (~v137(constB133)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35407, 35406, 35257])).
% 17.65/12.82 tff(35409,plain,
% 17.65/12.82 ((~(v132(constB133) <=> v137(constB133))) | (~v132(constB133)) | v137(constB133)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35410,plain,
% 17.65/12.82 (~v132(constB133)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35409, 35408, 35253])).
% 17.65/12.82 tff(35411,plain,
% 17.65/12.82 (((~v132(constB133)) | (~v155(constB133))) | v132(constB133)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35412,plain,
% 17.65/12.82 ((~v132(constB133)) | (~v155(constB133))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35411, 35410])).
% 17.65/12.82 tff(35413,plain,
% 17.65/12.82 ((~(v154(constB133) <=> (~((~v132(constB133)) | (~v155(constB133)))))) | (~v154(constB133)) | (~((~v132(constB133)) | (~v155(constB133))))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35414,plain,
% 17.65/12.82 (~v154(constB133)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35413, 35412, 35251])).
% 17.65/12.82 tff(35415,plain,
% 17.65/12.82 ((~(v153(constB133) | v154(constB133))) | v153(constB133) | v154(constB133)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35416,plain,
% 17.65/12.82 (~(v153(constB133) | v154(constB133))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35415, 35414, 35244])).
% 17.65/12.82 tff(35417,plain,
% 17.65/12.82 ((~(v150(constB133) <=> (v153(constB133) | v154(constB133)))) | (~v150(constB133)) | (v153(constB133) | v154(constB133))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35418,plain,
% 17.65/12.82 (~v150(constB133)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35417, 35416, 35171])).
% 17.65/12.82 tff(35419,plain,
% 17.65/12.82 ((~(v152(constB134) <=> v150(constB133))) | (~v152(constB134)) | v150(constB133)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35420,plain,
% 17.65/12.82 (~v152(constB134)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35419, 35418, 35169])).
% 17.65/12.82 tff(35421,plain,
% 17.65/12.82 ((~(v130(constB134) <=> v152(constB134))) | (~v130(constB134)) | v152(constB134)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35422,plain,
% 17.65/12.82 (~v130(constB134)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35421, 35420, 35165])).
% 17.65/12.82 tff(35423,plain,
% 17.65/12.82 (((~v130(constB134)) | (~v139(constB134))) | v130(constB134)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35424,plain,
% 17.65/12.82 ((~v130(constB134)) | (~v139(constB134))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35423, 35422])).
% 17.65/12.82 tff(35425,plain,
% 17.65/12.82 ((~(v153(constB134) <=> (~((~v130(constB134)) | (~v139(constB134)))))) | (~v153(constB134)) | (~((~v130(constB134)) | (~v139(constB134))))),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35426,plain,
% 17.65/12.82 (~v153(constB134)),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35425, 35424, 35163])).
% 17.65/12.82 tff(35427,plain,
% 17.65/12.82 ((~(v153(constB134) | v154(constB134))) | v153(constB134) | v154(constB134)),
% 17.65/12.82 inference(tautology,[status(thm)],[])).
% 17.65/12.82 tff(35428,plain,
% 17.65/12.82 (~(v153(constB134) | v154(constB134))),
% 17.65/12.82 inference(unit_resolution,[status(thm)],[35427, 35426, 35156])).
% 17.65/12.82 tff(35429,plain,
% 17.65/12.82 ((~(v150(constB134) <=> (v153(constB134) | v154(constB134)))) | (~v150(constB134)) | (v153(constB134) | v154(constB134))),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35430,plain,
% 17.65/12.83 (~v150(constB134)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35429, 35428, 35121])).
% 17.65/12.83 tff(35431,plain,
% 17.65/12.83 ((~(v152(constB135) <=> v150(constB134))) | (~v152(constB135)) | v150(constB134)),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35432,plain,
% 17.65/12.83 (~v152(constB135)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35431, 35430, 35119])).
% 17.65/12.83 tff(35433,plain,
% 17.65/12.83 ((~(v130(constB135) <=> v152(constB135))) | (~v130(constB135)) | v152(constB135)),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35434,plain,
% 17.65/12.83 (~v130(constB135)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35433, 35432, 35115])).
% 17.65/12.83 tff(35435,plain,
% 17.65/12.83 (((~v130(constB135)) | (~v155(constB135))) | v130(constB135)),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35436,plain,
% 17.65/12.83 ((~v130(constB135)) | (~v155(constB135))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35435, 35434])).
% 17.65/12.83 tff(35437,plain,
% 17.65/12.83 ((~(v164(constB135) <=> (~((~v130(constB135)) | (~v155(constB135)))))) | (~v164(constB135)) | (~((~v130(constB135)) | (~v155(constB135))))),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35438,plain,
% 17.65/12.83 (~v164(constB135)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35437, 35436, 35113])).
% 17.65/12.83 tff(35439,plain,
% 17.65/12.83 ((~(v163(constB135) | v164(constB135))) | v163(constB135) | v164(constB135)),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35440,plain,
% 17.65/12.83 (~(v163(constB135) | v164(constB135))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35439, 35438, 35106])).
% 17.65/12.83 tff(35441,plain,
% 17.65/12.83 ((~(v160(constB135) <=> (v163(constB135) | v164(constB135)))) | (~v160(constB135)) | (v163(constB135) | v164(constB135))),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35442,plain,
% 17.65/12.83 (~v160(constB135)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35441, 35440, 35033])).
% 17.65/12.83 tff(35443,plain,
% 17.65/12.83 ((~(v162(constB136) <=> v160(constB135))) | (~v162(constB136)) | v160(constB135)),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35444,plain,
% 17.65/12.83 (~v162(constB136)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35443, 35442, 35031])).
% 17.65/12.83 tff(35445,plain,
% 17.65/12.83 ((~(v128(constB136) <=> v162(constB136))) | (~v128(constB136)) | v162(constB136)),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35446,plain,
% 17.65/12.83 (~v128(constB136)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35445, 35444, 35027])).
% 17.65/12.83 tff(35447,plain,
% 17.65/12.83 (((~v128(constB136)) | (~v139(constB136))) | v128(constB136)),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35448,plain,
% 17.65/12.83 ((~v128(constB136)) | (~v139(constB136))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35447, 35446])).
% 17.65/12.83 tff(35449,plain,
% 17.65/12.83 ((~(v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136)))))) | (~v163(constB136)) | (~((~v128(constB136)) | (~v139(constB136))))),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35450,plain,
% 17.65/12.83 (~v163(constB136)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35449, 35448, 35025])).
% 17.65/12.83 tff(35451,plain,
% 17.65/12.83 ((~(v163(constB136) | v164(constB136))) | v163(constB136) | v164(constB136)),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35452,plain,
% 17.65/12.83 (~(v163(constB136) | v164(constB136))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35451, 35450, 35018])).
% 17.65/12.83 tff(35453,plain,
% 17.65/12.83 ((~(v160(constB136) <=> (v163(constB136) | v164(constB136)))) | (~v160(constB136)) | (v163(constB136) | v164(constB136))),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35454,plain,
% 17.65/12.83 (~v160(constB136)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35453, 35452, 34983])).
% 17.65/12.83 tff(35455,plain,
% 17.65/12.83 ((~(v162(constB137) <=> v160(constB136))) | (~v162(constB137)) | v160(constB136)),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35456,plain,
% 17.65/12.83 (~v162(constB137)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35455, 35454, 34981])).
% 17.65/12.83 tff(35457,plain,
% 17.65/12.83 ($false),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35456, 34977])).
% 17.65/12.83 tff(35458,plain,(~(constB137 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.65/12.83 tff(35459,assumption,(constB127 = VarCurr!0), introduced(assumption)).
% 17.65/12.83 tff(35460,plain,
% 17.65/12.83 (v162(constB127) <=> v162(VarCurr!0)),
% 17.65/12.83 inference(monotonicity,[status(thm)],[35459])).
% 17.65/12.83 tff(35461,plain,
% 17.65/12.83 (v162(VarCurr!0) <=> v162(constB127)),
% 17.65/12.83 inference(symmetry,[status(thm)],[35460])).
% 17.65/12.83 tff(35462,plain,
% 17.65/12.83 (v162(constB127)),
% 17.65/12.83 inference(modus_ponens,[status(thm)],[59, 35461])).
% 17.65/12.83 tff(35463,plain,
% 17.65/12.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB126, constB127)) | (v162(constB127) <=> v160(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB126, constB127)) | (v162(constB127) <=> v160(constB126)))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35464,plain,
% 17.65/12.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB126, constB127)) | (v162(constB127) <=> v160(constB126)))),
% 17.65/12.83 inference(quant_inst,[status(thm)],[])).
% 17.65/12.83 tff(35465,plain,
% 17.65/12.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB126, constB127)) | (v162(constB127) <=> v160(constB126))),
% 17.65/12.83 inference(modus_ponens,[status(thm)],[35464, 35463])).
% 17.65/12.83 tff(35466,plain,
% 17.65/12.83 (v162(constB127) <=> v160(constB126)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35465, 15761, 70])).
% 17.65/12.83 tff(35467,plain,
% 17.65/12.83 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB126) <=> (v163(constB126) | v164(constB126)))),
% 17.65/12.83 inference(quant_inst,[status(thm)],[])).
% 17.65/12.83 tff(35468,plain,
% 17.65/12.83 (v160(constB126) <=> (v163(constB126) | v164(constB126))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35467, 84])).
% 17.65/12.83 tff(35469,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB126) <=> (~((~v130(constB126)) | (~v155(constB126)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB126) <=> (~((~v130(constB126)) | (~v155(constB126))))))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35470,plain,
% 17.65/12.83 ((v164(constB126) <=> (~((~v155(constB126)) | (~v130(constB126))))) <=> (v164(constB126) <=> (~((~v130(constB126)) | (~v155(constB126)))))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35471,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB126) <=> (~((~v155(constB126)) | (~v130(constB126)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB126) <=> (~((~v130(constB126)) | (~v155(constB126))))))),
% 17.65/12.83 inference(monotonicity,[status(thm)],[35470])).
% 17.65/12.83 tff(35472,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB126) <=> (~((~v155(constB126)) | (~v130(constB126)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB126) <=> (~((~v130(constB126)) | (~v155(constB126))))))),
% 17.65/12.83 inference(transitivity,[status(thm)],[35471, 35469])).
% 17.65/12.83 tff(35473,plain,
% 17.65/12.83 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB126) <=> (~((~v155(constB126)) | (~v130(constB126)))))),
% 17.65/12.83 inference(quant_inst,[status(thm)],[])).
% 17.65/12.83 tff(35474,plain,
% 17.65/12.83 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB126) <=> (~((~v130(constB126)) | (~v155(constB126)))))),
% 17.65/12.83 inference(modus_ponens,[status(thm)],[35473, 35472])).
% 17.65/12.83 tff(35475,plain,
% 17.65/12.83 (v164(constB126) <=> (~((~v130(constB126)) | (~v155(constB126))))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35474, 96])).
% 17.65/12.83 tff(35476,plain,
% 17.65/12.83 (((~v130(constB126)) | (~v155(constB126))) | v155(constB126)),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35477,plain,
% 17.65/12.83 ((~v130(constB126)) | (~v155(constB126))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35476, 25459])).
% 17.65/12.83 tff(35478,plain,
% 17.65/12.83 ((~(v164(constB126) <=> (~((~v130(constB126)) | (~v155(constB126)))))) | (~v164(constB126)) | (~((~v130(constB126)) | (~v155(constB126))))),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35479,plain,
% 17.65/12.83 (~v164(constB126)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35478, 35477, 35475])).
% 17.65/12.83 tff(35480,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB126) <=> (~((~v128(constB126)) | (~v139(constB126)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB126) <=> (~((~v128(constB126)) | (~v139(constB126))))))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35481,plain,
% 17.65/12.83 ((v163(constB126) <=> (~((~v139(constB126)) | (~v128(constB126))))) <=> (v163(constB126) <=> (~((~v128(constB126)) | (~v139(constB126)))))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35482,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB126) <=> (~((~v139(constB126)) | (~v128(constB126)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB126) <=> (~((~v128(constB126)) | (~v139(constB126))))))),
% 17.65/12.83 inference(monotonicity,[status(thm)],[35481])).
% 17.65/12.83 tff(35483,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB126) <=> (~((~v139(constB126)) | (~v128(constB126)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB126) <=> (~((~v128(constB126)) | (~v139(constB126))))))),
% 17.65/12.83 inference(transitivity,[status(thm)],[35482, 35480])).
% 17.65/12.83 tff(35484,plain,
% 17.65/12.83 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB126) <=> (~((~v139(constB126)) | (~v128(constB126)))))),
% 17.65/12.83 inference(quant_inst,[status(thm)],[])).
% 17.65/12.83 tff(35485,plain,
% 17.65/12.83 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB126) <=> (~((~v128(constB126)) | (~v139(constB126)))))),
% 17.65/12.83 inference(modus_ponens,[status(thm)],[35484, 35483])).
% 17.65/12.83 tff(35486,plain,
% 17.65/12.83 (v163(constB126) <=> (~((~v128(constB126)) | (~v139(constB126))))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35485, 171])).
% 17.65/12.83 tff(35487,plain,
% 17.65/12.83 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB126) <=> v162(constB126))),
% 17.65/12.83 inference(quant_inst,[status(thm)],[])).
% 17.65/12.83 tff(35488,plain,
% 17.65/12.83 (v128(constB126) <=> v162(constB126)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35487, 13])).
% 17.65/12.83 tff(35489,plain,
% 17.65/12.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB125, constB126)) | (v162(constB126) <=> v160(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB125, constB126)) | (v162(constB126) <=> v160(constB125)))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35490,plain,
% 17.65/12.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB125, constB126)) | (v162(constB126) <=> v160(constB125)))),
% 17.65/12.83 inference(quant_inst,[status(thm)],[])).
% 17.65/12.83 tff(35491,plain,
% 17.65/12.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB125, constB126)) | (v162(constB126) <=> v160(constB125))),
% 17.65/12.83 inference(modus_ponens,[status(thm)],[35490, 35489])).
% 17.65/12.83 tff(35492,plain,
% 17.65/12.83 (v162(constB126) <=> v160(constB125)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35491, 15797, 70])).
% 17.65/12.83 tff(35493,plain,
% 17.65/12.83 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB125) <=> (v163(constB125) | v164(constB125)))),
% 17.65/12.83 inference(quant_inst,[status(thm)],[])).
% 17.65/12.83 tff(35494,plain,
% 17.65/12.83 (v160(constB125) <=> (v163(constB125) | v164(constB125))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35493, 84])).
% 17.65/12.83 tff(35495,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB125) <=> (~((~v128(constB125)) | (~v139(constB125)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB125) <=> (~((~v128(constB125)) | (~v139(constB125))))))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35496,plain,
% 17.65/12.83 ((v163(constB125) <=> (~((~v139(constB125)) | (~v128(constB125))))) <=> (v163(constB125) <=> (~((~v128(constB125)) | (~v139(constB125)))))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35497,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB125) <=> (~((~v139(constB125)) | (~v128(constB125)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB125) <=> (~((~v128(constB125)) | (~v139(constB125))))))),
% 17.65/12.83 inference(monotonicity,[status(thm)],[35496])).
% 17.65/12.83 tff(35498,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB125) <=> (~((~v139(constB125)) | (~v128(constB125)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB125) <=> (~((~v128(constB125)) | (~v139(constB125))))))),
% 17.65/12.83 inference(transitivity,[status(thm)],[35497, 35495])).
% 17.65/12.83 tff(35499,plain,
% 17.65/12.83 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB125) <=> (~((~v139(constB125)) | (~v128(constB125)))))),
% 17.65/12.83 inference(quant_inst,[status(thm)],[])).
% 17.65/12.83 tff(35500,plain,
% 17.65/12.83 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB125) <=> (~((~v128(constB125)) | (~v139(constB125)))))),
% 17.65/12.83 inference(modus_ponens,[status(thm)],[35499, 35498])).
% 17.65/12.83 tff(35501,plain,
% 17.65/12.83 (v163(constB125) <=> (~((~v128(constB125)) | (~v139(constB125))))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35500, 171])).
% 17.65/12.83 tff(35502,plain,
% 17.65/12.83 (((~v128(constB125)) | (~v139(constB125))) | v139(constB125)),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35503,plain,
% 17.65/12.83 ((~v128(constB125)) | (~v139(constB125))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35502, 25547])).
% 17.65/12.83 tff(35504,plain,
% 17.65/12.83 ((~(v163(constB125) <=> (~((~v128(constB125)) | (~v139(constB125)))))) | (~v163(constB125)) | (~((~v128(constB125)) | (~v139(constB125))))),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35505,plain,
% 17.65/12.83 (~v163(constB125)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35504, 35503, 35501])).
% 17.65/12.83 tff(35506,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB125) <=> (~((~v130(constB125)) | (~v155(constB125)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB125) <=> (~((~v130(constB125)) | (~v155(constB125))))))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35507,plain,
% 17.65/12.83 ((v164(constB125) <=> (~((~v155(constB125)) | (~v130(constB125))))) <=> (v164(constB125) <=> (~((~v130(constB125)) | (~v155(constB125)))))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35508,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB125) <=> (~((~v155(constB125)) | (~v130(constB125)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB125) <=> (~((~v130(constB125)) | (~v155(constB125))))))),
% 17.65/12.83 inference(monotonicity,[status(thm)],[35507])).
% 17.65/12.83 tff(35509,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB125) <=> (~((~v155(constB125)) | (~v130(constB125)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB125) <=> (~((~v130(constB125)) | (~v155(constB125))))))),
% 17.65/12.83 inference(transitivity,[status(thm)],[35508, 35506])).
% 17.65/12.83 tff(35510,plain,
% 17.65/12.83 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB125) <=> (~((~v155(constB125)) | (~v130(constB125)))))),
% 17.65/12.83 inference(quant_inst,[status(thm)],[])).
% 17.65/12.83 tff(35511,plain,
% 17.65/12.83 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB125) <=> (~((~v130(constB125)) | (~v155(constB125)))))),
% 17.65/12.83 inference(modus_ponens,[status(thm)],[35510, 35509])).
% 17.65/12.83 tff(35512,plain,
% 17.65/12.83 (v164(constB125) <=> (~((~v130(constB125)) | (~v155(constB125))))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35511, 96])).
% 17.65/12.83 tff(35513,plain,
% 17.65/12.83 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB125) <=> v152(constB125))),
% 17.65/12.83 inference(quant_inst,[status(thm)],[])).
% 17.65/12.83 tff(35514,plain,
% 17.65/12.83 (v130(constB125) <=> v152(constB125)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35513, 361])).
% 17.65/12.83 tff(35515,plain,
% 17.65/12.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB124, constB125)) | (v152(constB125) <=> v150(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB124, constB125)) | (v152(constB125) <=> v150(constB124)))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35516,plain,
% 17.65/12.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB124, constB125)) | (v152(constB125) <=> v150(constB124)))),
% 17.65/12.83 inference(quant_inst,[status(thm)],[])).
% 17.65/12.83 tff(35517,plain,
% 17.65/12.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB124, constB125)) | (v152(constB125) <=> v150(constB124))),
% 17.65/12.83 inference(modus_ponens,[status(thm)],[35516, 35515])).
% 17.65/12.83 tff(35518,plain,
% 17.65/12.83 (v152(constB125) <=> v150(constB124)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35517, 15822, 373])).
% 17.65/12.83 tff(35519,plain,
% 17.65/12.83 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB124) <=> (v153(constB124) | v154(constB124)))),
% 17.65/12.83 inference(quant_inst,[status(thm)],[])).
% 17.65/12.83 tff(35520,plain,
% 17.65/12.83 (v150(constB124) <=> (v153(constB124) | v154(constB124))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35519, 387])).
% 17.65/12.83 tff(35521,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB124) <=> (~((~v132(constB124)) | (~v155(constB124)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB124) <=> (~((~v132(constB124)) | (~v155(constB124))))))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35522,plain,
% 17.65/12.83 ((v154(constB124) <=> (~((~v155(constB124)) | (~v132(constB124))))) <=> (v154(constB124) <=> (~((~v132(constB124)) | (~v155(constB124)))))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35523,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB124) <=> (~((~v155(constB124)) | (~v132(constB124)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB124) <=> (~((~v132(constB124)) | (~v155(constB124))))))),
% 17.65/12.83 inference(monotonicity,[status(thm)],[35522])).
% 17.65/12.83 tff(35524,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB124) <=> (~((~v155(constB124)) | (~v132(constB124)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB124) <=> (~((~v132(constB124)) | (~v155(constB124))))))),
% 17.65/12.83 inference(transitivity,[status(thm)],[35523, 35521])).
% 17.65/12.83 tff(35525,plain,
% 17.65/12.83 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB124) <=> (~((~v155(constB124)) | (~v132(constB124)))))),
% 17.65/12.83 inference(quant_inst,[status(thm)],[])).
% 17.65/12.83 tff(35526,plain,
% 17.65/12.83 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB124) <=> (~((~v132(constB124)) | (~v155(constB124)))))),
% 17.65/12.83 inference(modus_ponens,[status(thm)],[35525, 35524])).
% 17.65/12.83 tff(35527,plain,
% 17.65/12.83 (v154(constB124) <=> (~((~v132(constB124)) | (~v155(constB124))))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35526, 399])).
% 17.65/12.83 tff(35528,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB124) <=> (~((~v141(constB124)) | (~v143(constB124)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB124) <=> (~((~v141(constB124)) | (~v143(constB124))))))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35529,plain,
% 17.65/12.83 ((v155(constB124) <=> (~((~v143(constB124)) | (~v141(constB124))))) <=> (v155(constB124) <=> (~((~v141(constB124)) | (~v143(constB124)))))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35530,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB124) <=> (~((~v143(constB124)) | (~v141(constB124)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB124) <=> (~((~v141(constB124)) | (~v143(constB124))))))),
% 17.65/12.83 inference(monotonicity,[status(thm)],[35529])).
% 17.65/12.83 tff(35531,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB124) <=> (~((~v143(constB124)) | (~v141(constB124)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB124) <=> (~((~v141(constB124)) | (~v143(constB124))))))),
% 17.65/12.83 inference(transitivity,[status(thm)],[35530, 35528])).
% 17.65/12.83 tff(35532,plain,
% 17.65/12.83 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB124) <=> (~((~v143(constB124)) | (~v141(constB124)))))),
% 17.65/12.83 inference(quant_inst,[status(thm)],[])).
% 17.65/12.83 tff(35533,plain,
% 17.65/12.83 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB124) <=> (~((~v141(constB124)) | (~v143(constB124)))))),
% 17.65/12.83 inference(modus_ponens,[status(thm)],[35532, 35531])).
% 17.65/12.83 tff(35534,plain,
% 17.65/12.83 (v155(constB124) <=> (~((~v141(constB124)) | (~v143(constB124))))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35533, 113])).
% 17.65/12.83 tff(35535,plain,
% 17.65/12.83 (((~v141(constB124)) | (~v143(constB124))) | v141(constB124)),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35536,plain,
% 17.65/12.83 ((~v141(constB124)) | (~v143(constB124))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35535, 25582])).
% 17.65/12.83 tff(35537,plain,
% 17.65/12.83 ((~(v155(constB124) <=> (~((~v141(constB124)) | (~v143(constB124)))))) | (~v155(constB124)) | (~((~v141(constB124)) | (~v143(constB124))))),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35538,plain,
% 17.65/12.83 ((~(v155(constB124) <=> (~((~v141(constB124)) | (~v143(constB124)))))) | (~v155(constB124))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35537, 35536])).
% 17.65/12.83 tff(35539,plain,
% 17.65/12.83 (~v155(constB124)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35538, 35534])).
% 17.65/12.83 tff(35540,plain,
% 17.65/12.83 (((~v132(constB124)) | (~v155(constB124))) | v155(constB124)),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35541,plain,
% 17.65/12.83 ((~v132(constB124)) | (~v155(constB124))),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35540, 35539])).
% 17.65/12.83 tff(35542,plain,
% 17.65/12.83 ((~(v154(constB124) <=> (~((~v132(constB124)) | (~v155(constB124)))))) | (~v154(constB124)) | (~((~v132(constB124)) | (~v155(constB124))))),
% 17.65/12.83 inference(tautology,[status(thm)],[])).
% 17.65/12.83 tff(35543,plain,
% 17.65/12.83 (~v154(constB124)),
% 17.65/12.83 inference(unit_resolution,[status(thm)],[35542, 35541, 35527])).
% 17.65/12.83 tff(35544,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB124) <=> (~((~v130(constB124)) | (~v139(constB124)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB124) <=> (~((~v130(constB124)) | (~v139(constB124))))))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35545,plain,
% 17.65/12.83 ((v153(constB124) <=> (~((~v139(constB124)) | (~v130(constB124))))) <=> (v153(constB124) <=> (~((~v130(constB124)) | (~v139(constB124)))))),
% 17.65/12.83 inference(rewrite,[status(thm)],[])).
% 17.65/12.83 tff(35546,plain,
% 17.65/12.83 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB124) <=> (~((~v139(constB124)) | (~v130(constB124)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB124) <=> (~((~v130(constB124)) | (~v139(constB124))))))),
% 17.65/12.84 inference(monotonicity,[status(thm)],[35545])).
% 17.65/12.84 tff(35547,plain,
% 17.65/12.84 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB124) <=> (~((~v139(constB124)) | (~v130(constB124)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB124) <=> (~((~v130(constB124)) | (~v139(constB124))))))),
% 17.65/12.84 inference(transitivity,[status(thm)],[35546, 35544])).
% 17.65/12.84 tff(35548,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB124) <=> (~((~v139(constB124)) | (~v130(constB124)))))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35549,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB124) <=> (~((~v130(constB124)) | (~v139(constB124)))))),
% 17.65/12.84 inference(modus_ponens,[status(thm)],[35548, 35547])).
% 17.65/12.84 tff(35550,plain,
% 17.65/12.84 (v153(constB124) <=> (~((~v130(constB124)) | (~v139(constB124))))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35549, 447])).
% 17.65/12.84 tff(35551,plain,
% 17.65/12.84 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB124) <=> v152(constB124))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35552,plain,
% 17.65/12.84 (v130(constB124) <=> v152(constB124)),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35551, 361])).
% 17.65/12.84 tff(35553,plain,
% 17.65/12.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB123, constB124)) | (v152(constB124) <=> v150(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB123, constB124)) | (v152(constB124) <=> v150(constB123)))),
% 17.65/12.84 inference(rewrite,[status(thm)],[])).
% 17.65/12.84 tff(35554,plain,
% 17.65/12.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB123, constB124)) | (v152(constB124) <=> v150(constB123)))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35555,plain,
% 17.65/12.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB123, constB124)) | (v152(constB124) <=> v150(constB123))),
% 17.65/12.84 inference(modus_ponens,[status(thm)],[35554, 35553])).
% 17.65/12.84 tff(35556,plain,
% 17.65/12.84 (v152(constB124) <=> v150(constB123)),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35555, 15858, 373])).
% 17.65/12.84 tff(35557,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB123) <=> (v153(constB123) | v154(constB123)))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35558,plain,
% 17.65/12.84 (v150(constB123) <=> (v153(constB123) | v154(constB123))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35557, 387])).
% 17.65/12.84 tff(35559,plain,
% 17.65/12.84 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB123) <=> (~((~v130(constB123)) | (~v139(constB123)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB123) <=> (~((~v130(constB123)) | (~v139(constB123))))))),
% 17.65/12.84 inference(rewrite,[status(thm)],[])).
% 17.65/12.84 tff(35560,plain,
% 17.65/12.84 ((v153(constB123) <=> (~((~v139(constB123)) | (~v130(constB123))))) <=> (v153(constB123) <=> (~((~v130(constB123)) | (~v139(constB123)))))),
% 17.65/12.84 inference(rewrite,[status(thm)],[])).
% 17.65/12.84 tff(35561,plain,
% 17.65/12.84 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB123) <=> (~((~v139(constB123)) | (~v130(constB123)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB123) <=> (~((~v130(constB123)) | (~v139(constB123))))))),
% 17.65/12.84 inference(monotonicity,[status(thm)],[35560])).
% 17.65/12.84 tff(35562,plain,
% 17.65/12.84 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB123) <=> (~((~v139(constB123)) | (~v130(constB123)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB123) <=> (~((~v130(constB123)) | (~v139(constB123))))))),
% 17.65/12.84 inference(transitivity,[status(thm)],[35561, 35559])).
% 17.65/12.84 tff(35563,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB123) <=> (~((~v139(constB123)) | (~v130(constB123)))))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35564,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB123) <=> (~((~v130(constB123)) | (~v139(constB123)))))),
% 17.65/12.84 inference(modus_ponens,[status(thm)],[35563, 35562])).
% 17.65/12.84 tff(35565,plain,
% 17.65/12.84 (v153(constB123) <=> (~((~v130(constB123)) | (~v139(constB123))))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35564, 447])).
% 17.65/12.84 tff(35566,plain,
% 17.65/12.84 (((~v130(constB123)) | (~v139(constB123))) | v139(constB123)),
% 17.65/12.84 inference(tautology,[status(thm)],[])).
% 17.65/12.84 tff(35567,plain,
% 17.65/12.84 ((~v130(constB123)) | (~v139(constB123))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35566, 25675])).
% 17.65/12.84 tff(35568,plain,
% 17.65/12.84 ((~(v153(constB123) <=> (~((~v130(constB123)) | (~v139(constB123)))))) | (~v153(constB123)) | (~((~v130(constB123)) | (~v139(constB123))))),
% 17.65/12.84 inference(tautology,[status(thm)],[])).
% 17.65/12.84 tff(35569,plain,
% 17.65/12.84 (~v153(constB123)),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35568, 35567, 35565])).
% 17.65/12.84 tff(35570,plain,
% 17.65/12.84 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB123) <=> (~((~v132(constB123)) | (~v155(constB123)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB123) <=> (~((~v132(constB123)) | (~v155(constB123))))))),
% 17.65/12.84 inference(rewrite,[status(thm)],[])).
% 17.65/12.84 tff(35571,plain,
% 17.65/12.84 ((v154(constB123) <=> (~((~v155(constB123)) | (~v132(constB123))))) <=> (v154(constB123) <=> (~((~v132(constB123)) | (~v155(constB123)))))),
% 17.65/12.84 inference(rewrite,[status(thm)],[])).
% 17.65/12.84 tff(35572,plain,
% 17.65/12.84 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB123) <=> (~((~v155(constB123)) | (~v132(constB123)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB123) <=> (~((~v132(constB123)) | (~v155(constB123))))))),
% 17.65/12.84 inference(monotonicity,[status(thm)],[35571])).
% 17.65/12.84 tff(35573,plain,
% 17.65/12.84 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB123) <=> (~((~v155(constB123)) | (~v132(constB123)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB123) <=> (~((~v132(constB123)) | (~v155(constB123))))))),
% 17.65/12.84 inference(transitivity,[status(thm)],[35572, 35570])).
% 17.65/12.84 tff(35574,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB123) <=> (~((~v155(constB123)) | (~v132(constB123)))))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35575,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB123) <=> (~((~v132(constB123)) | (~v155(constB123)))))),
% 17.65/12.84 inference(modus_ponens,[status(thm)],[35574, 35573])).
% 17.65/12.84 tff(35576,plain,
% 17.65/12.84 (v154(constB123) <=> (~((~v132(constB123)) | (~v155(constB123))))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35575, 399])).
% 17.65/12.84 tff(35577,plain,
% 17.65/12.84 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB123) <=> v137(constB123))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35578,plain,
% 17.65/12.84 (v132(constB123) <=> v137(constB123)),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35577, 558])).
% 17.65/12.84 tff(35579,plain,
% 17.65/12.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB122, constB123)) | (v137(constB123) <=> v135(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB122, constB123)) | (v137(constB123) <=> v135(constB122)))),
% 17.65/12.84 inference(rewrite,[status(thm)],[])).
% 17.65/12.84 tff(35580,plain,
% 17.65/12.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB122, constB123)) | (v137(constB123) <=> v135(constB122)))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35581,plain,
% 17.65/12.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB122, constB123)) | (v137(constB123) <=> v135(constB122))),
% 17.65/12.84 inference(modus_ponens,[status(thm)],[35580, 35579])).
% 17.65/12.84 tff(35582,plain,
% 17.65/12.84 (v137(constB123) <=> v135(constB122)),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35581, 15888, 570])).
% 17.65/12.84 tff(35583,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB122) <=> (v138(constB122) | v142(constB122)))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35584,plain,
% 17.65/12.84 (v135(constB122) <=> (v138(constB122) | v142(constB122))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35583, 584])).
% 17.65/12.84 tff(35585,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB122) <=> (~((~v143(constB122)) | (~v144(constB122)))))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35586,plain,
% 17.65/12.84 (v142(constB122) <=> (~((~v143(constB122)) | (~v144(constB122))))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35585, 596])).
% 17.65/12.84 tff(35587,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB122) <=> (~((~v141(constB122)) | (~v145(constB122)))))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35588,plain,
% 17.65/12.84 (v144(constB122) <=> (~((~v141(constB122)) | (~v145(constB122))))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35587, 608])).
% 17.65/12.84 tff(35589,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35590,plain,
% 17.65/12.84 (v141(constB122) <=> (~((~v39(constB122)) | (~v9(constB122))))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35589, 130])).
% 17.65/12.84 tff(35591,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB122)) <=> v1(constB122))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35592,plain,
% 17.65/12.84 ((~v39(constB122)) <=> v1(constB122)),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35591, 139])).
% 17.65/12.84 tff(35593,plain,
% 17.65/12.84 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122)) | (~v1(constB122))),
% 17.65/12.84 inference(tautology,[status(thm)],[])).
% 17.65/12.84 tff(35594,plain,
% 17.65/12.84 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35593, 18210])).
% 17.65/12.84 tff(35595,plain,
% 17.65/12.84 (~v39(constB122)),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35594, 35592])).
% 17.65/12.84 tff(35596,plain,
% 17.65/12.84 (((~v39(constB122)) | (~v9(constB122))) | v39(constB122)),
% 17.65/12.84 inference(tautology,[status(thm)],[])).
% 17.65/12.84 tff(35597,plain,
% 17.65/12.84 ((~v39(constB122)) | (~v9(constB122))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35596, 35595])).
% 17.65/12.84 tff(35598,plain,
% 17.65/12.84 ((~(v141(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v141(constB122)) | (~((~v39(constB122)) | (~v9(constB122))))),
% 17.65/12.84 inference(tautology,[status(thm)],[])).
% 17.65/12.84 tff(35599,plain,
% 17.65/12.84 ((~(v141(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v141(constB122))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35598, 35597])).
% 17.65/12.84 tff(35600,plain,
% 17.65/12.84 (~v141(constB122)),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35599, 35590])).
% 17.65/12.84 tff(35601,plain,
% 17.65/12.84 (((~v141(constB122)) | (~v145(constB122))) | v141(constB122)),
% 17.65/12.84 inference(tautology,[status(thm)],[])).
% 17.65/12.84 tff(35602,plain,
% 17.65/12.84 ((~v141(constB122)) | (~v145(constB122))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35601, 35600])).
% 17.65/12.84 tff(35603,plain,
% 17.65/12.84 ((~(v144(constB122) <=> (~((~v141(constB122)) | (~v145(constB122)))))) | (~v144(constB122)) | (~((~v141(constB122)) | (~v145(constB122))))),
% 17.65/12.84 inference(tautology,[status(thm)],[])).
% 17.65/12.84 tff(35604,plain,
% 17.65/12.84 ((~(v144(constB122) <=> (~((~v141(constB122)) | (~v145(constB122)))))) | (~v144(constB122))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35603, 35602])).
% 17.65/12.84 tff(35605,plain,
% 17.65/12.84 (~v144(constB122)),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35604, 35588])).
% 17.65/12.84 tff(35606,plain,
% 17.65/12.84 (((~v143(constB122)) | (~v144(constB122))) | v144(constB122)),
% 17.65/12.84 inference(tautology,[status(thm)],[])).
% 17.65/12.84 tff(35607,plain,
% 17.65/12.84 ((~v143(constB122)) | (~v144(constB122))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35606, 35605])).
% 17.65/12.84 tff(35608,plain,
% 17.65/12.84 ((~(v142(constB122) <=> (~((~v143(constB122)) | (~v144(constB122)))))) | (~v142(constB122)) | (~((~v143(constB122)) | (~v144(constB122))))),
% 17.65/12.84 inference(tautology,[status(thm)],[])).
% 17.65/12.84 tff(35609,plain,
% 17.65/12.84 (~v142(constB122)),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35608, 35607, 35586])).
% 17.65/12.84 tff(35610,plain,
% 17.65/12.84 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB122) <=> (~((~v132(constB122)) | (~v139(constB122)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB122) <=> (~((~v132(constB122)) | (~v139(constB122))))))),
% 17.65/12.84 inference(rewrite,[status(thm)],[])).
% 17.65/12.84 tff(35611,plain,
% 17.65/12.84 ((v138(constB122) <=> (~((~v139(constB122)) | (~v132(constB122))))) <=> (v138(constB122) <=> (~((~v132(constB122)) | (~v139(constB122)))))),
% 17.65/12.84 inference(rewrite,[status(thm)],[])).
% 17.65/12.84 tff(35612,plain,
% 17.65/12.84 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB122) <=> (~((~v139(constB122)) | (~v132(constB122)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB122) <=> (~((~v132(constB122)) | (~v139(constB122))))))),
% 17.65/12.84 inference(monotonicity,[status(thm)],[35611])).
% 17.65/12.84 tff(35613,plain,
% 17.65/12.84 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB122) <=> (~((~v139(constB122)) | (~v132(constB122)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB122) <=> (~((~v132(constB122)) | (~v139(constB122))))))),
% 17.65/12.84 inference(transitivity,[status(thm)],[35612, 35610])).
% 17.65/12.84 tff(35614,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB122) <=> (~((~v139(constB122)) | (~v132(constB122)))))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35615,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB122) <=> (~((~v132(constB122)) | (~v139(constB122)))))),
% 17.65/12.84 inference(modus_ponens,[status(thm)],[35614, 35613])).
% 17.65/12.84 tff(35616,plain,
% 17.65/12.84 (v138(constB122) <=> (~((~v132(constB122)) | (~v139(constB122))))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35615, 644])).
% 17.65/12.84 tff(35617,plain,
% 17.65/12.84 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB122) <=> v137(constB122))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35618,plain,
% 17.65/12.84 (v132(constB122) <=> v137(constB122)),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35617, 558])).
% 17.65/12.84 tff(35619,plain,
% 17.65/12.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB121, constB122)) | (v137(constB122) <=> v135(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB121, constB122)) | (v137(constB122) <=> v135(constB121)))),
% 17.65/12.84 inference(rewrite,[status(thm)],[])).
% 17.65/12.84 tff(35620,plain,
% 17.65/12.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB121, constB122)) | (v137(constB122) <=> v135(constB121)))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35621,plain,
% 17.65/12.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB121, constB122)) | (v137(constB122) <=> v135(constB121))),
% 17.65/12.84 inference(modus_ponens,[status(thm)],[35620, 35619])).
% 17.65/12.84 tff(35622,plain,
% 17.65/12.84 (v137(constB122) <=> v135(constB121)),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35621, 15924, 570])).
% 17.65/12.84 tff(35623,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB121) <=> (v138(constB121) | v142(constB121)))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35624,plain,
% 17.65/12.84 (v135(constB121) <=> (v138(constB121) | v142(constB121))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35623, 584])).
% 17.65/12.84 tff(35625,plain,
% 17.65/12.84 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB121) <=> (~((~v132(constB121)) | (~v139(constB121)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB121) <=> (~((~v132(constB121)) | (~v139(constB121))))))),
% 17.65/12.84 inference(rewrite,[status(thm)],[])).
% 17.65/12.84 tff(35626,plain,
% 17.65/12.84 ((v138(constB121) <=> (~((~v139(constB121)) | (~v132(constB121))))) <=> (v138(constB121) <=> (~((~v132(constB121)) | (~v139(constB121)))))),
% 17.65/12.84 inference(rewrite,[status(thm)],[])).
% 17.65/12.84 tff(35627,plain,
% 17.65/12.84 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB121) <=> (~((~v139(constB121)) | (~v132(constB121)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB121) <=> (~((~v132(constB121)) | (~v139(constB121))))))),
% 17.65/12.84 inference(monotonicity,[status(thm)],[35626])).
% 17.65/12.84 tff(35628,plain,
% 17.65/12.84 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB121) <=> (~((~v139(constB121)) | (~v132(constB121)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB121) <=> (~((~v132(constB121)) | (~v139(constB121))))))),
% 17.65/12.84 inference(transitivity,[status(thm)],[35627, 35625])).
% 17.65/12.84 tff(35629,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB121) <=> (~((~v139(constB121)) | (~v132(constB121)))))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35630,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB121) <=> (~((~v132(constB121)) | (~v139(constB121)))))),
% 17.65/12.84 inference(modus_ponens,[status(thm)],[35629, 35628])).
% 17.65/12.84 tff(35631,plain,
% 17.65/12.84 (v138(constB121) <=> (~((~v132(constB121)) | (~v139(constB121))))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35630, 644])).
% 17.65/12.84 tff(35632,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB121)) <=> v140(constB121))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35633,plain,
% 17.65/12.84 ((~v139(constB121)) <=> v140(constB121)),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35632, 203])).
% 17.65/12.84 tff(35634,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB121) <=> (v141(constB121) | v26(constB121)))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35635,plain,
% 17.65/12.84 (v140(constB121) <=> (v141(constB121) | v26(constB121))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35634, 212])).
% 17.65/12.84 tff(35636,plain,
% 17.65/12.84 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))),
% 17.65/12.84 inference(quant_inst,[status(thm)],[])).
% 17.65/12.84 tff(35637,plain,
% 17.65/12.84 (v141(constB121) <=> (~((~v39(constB121)) | (~v9(constB121))))),
% 17.65/12.84 inference(unit_resolution,[status(thm)],[35636, 130])).
% 17.65/12.84 tff(35638,plain,
% 17.65/12.84 (((~![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)))),
% 17.65/12.85 inference(rewrite,[status(thm)],[])).
% 17.65/12.85 tff(35639,plain,
% 17.65/12.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121)))),
% 17.65/12.85 inference(quant_inst,[status(thm)],[])).
% 17.65/12.85 tff(35640,plain,
% 17.65/12.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121))),
% 17.65/12.85 inference(modus_ponens,[status(thm)],[35639, 35638])).
% 17.65/12.85 tff(35641,plain,
% 17.65/12.85 (v13(constB122) <=> v9(constB121)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35640, 15924, 226])).
% 17.65/12.85 tff(35642,plain,
% 17.65/12.85 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB122) <=> v13(constB122))),
% 17.65/12.85 inference(quant_inst,[status(thm)],[])).
% 17.65/12.85 tff(35643,plain,
% 17.65/12.85 (v6(constB122) <=> v13(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35642, 240])).
% 17.65/12.85 tff(35644,plain,
% 17.65/12.85 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB122)) <=> v6(constB122))),
% 17.65/12.85 inference(quant_inst,[status(thm)],[])).
% 17.65/12.85 tff(35645,plain,
% 17.65/12.85 ((~v21(constB122)) <=> v6(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35644, 249])).
% 17.65/12.85 tff(35646,plain,
% 17.65/12.85 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB122) <=> (v20(constB122) | v21(constB122)))),
% 17.65/12.85 inference(quant_inst,[status(thm)],[])).
% 17.65/12.85 tff(35647,plain,
% 17.65/12.85 (v19(constB122) <=> (v20(constB122) | v21(constB122))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35646, 258])).
% 17.65/12.85 tff(35648,plain,
% 17.65/12.85 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))),
% 17.65/12.85 inference(quant_inst,[status(thm)],[])).
% 17.65/12.85 tff(35649,plain,
% 17.65/12.85 (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122))))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35648, 270])).
% 17.65/12.85 tff(35650,plain,
% 17.65/12.85 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB122)) <=> v18(constB122))),
% 17.65/12.85 inference(quant_inst,[status(thm)],[])).
% 17.65/12.85 tff(35651,plain,
% 17.65/12.85 ((~v4(constB122)) <=> v18(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35650, 279])).
% 17.65/12.85 tff(35652,plain,
% 17.65/12.85 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB122)),
% 17.65/12.85 inference(quant_inst,[status(thm)],[])).
% 17.65/12.85 tff(35653,plain,
% 17.65/12.85 (v4(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35652, 288])).
% 17.65/12.85 tff(35654,plain,
% 17.65/12.85 ((~((~v4(constB122)) <=> v18(constB122))) | (~v4(constB122)) | (~v18(constB122))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35655,plain,
% 17.65/12.85 (~v18(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35654, 35653, 35651])).
% 17.65/12.85 tff(35656,plain,
% 17.65/12.85 ((~(v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))) | v18(constB122) | ((~v19(constB122)) | (~v22(constB122)))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35657,plain,
% 17.65/12.85 ((~v19(constB122)) | (~v22(constB122))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35656, 35655, 35649])).
% 17.65/12.85 tff(35658,plain,
% 17.65/12.85 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB122) <=> (v1(constB122) | v6(constB122)))),
% 17.65/12.85 inference(quant_inst,[status(thm)],[])).
% 17.65/12.85 tff(35659,plain,
% 17.65/12.85 (v22(constB122) <=> (v1(constB122) | v6(constB122))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35658, 301])).
% 17.65/12.85 tff(35660,plain,
% 17.65/12.85 ((v1(constB122) | v6(constB122)) | (~v1(constB122))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35661,plain,
% 17.65/12.85 (v1(constB122) | v6(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35660, 18210])).
% 17.65/12.85 tff(35662,plain,
% 17.65/12.85 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122) | (~(v1(constB122) | v6(constB122)))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35663,plain,
% 17.65/12.85 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35662, 35661])).
% 17.65/12.85 tff(35664,plain,
% 17.65/12.85 (v22(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35663, 35659])).
% 17.65/12.85 tff(35665,plain,
% 17.65/12.85 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122)) | (~v22(constB122))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35666,plain,
% 17.65/12.85 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35665, 35664])).
% 17.65/12.85 tff(35667,plain,
% 17.65/12.85 (~v19(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35666, 35657])).
% 17.65/12.85 tff(35668,plain,
% 17.65/12.85 ((~(v19(constB122) <=> (v20(constB122) | v21(constB122)))) | v19(constB122) | (~(v20(constB122) | v21(constB122)))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35669,plain,
% 17.65/12.85 (~(v20(constB122) | v21(constB122))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35668, 35667, 35647])).
% 17.65/12.85 tff(35670,plain,
% 17.65/12.85 ((v20(constB122) | v21(constB122)) | (~v21(constB122))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35671,plain,
% 17.65/12.85 (~v21(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35670, 35669])).
% 17.65/12.85 tff(35672,plain,
% 17.65/12.85 ((~((~v21(constB122)) <=> v6(constB122))) | v21(constB122) | v6(constB122)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35673,plain,
% 17.65/12.85 (v6(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35672, 35671, 35645])).
% 17.65/12.85 tff(35674,plain,
% 17.65/12.85 ((~(v6(constB122) <=> v13(constB122))) | (~v6(constB122)) | v13(constB122)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35675,plain,
% 17.65/12.85 (v13(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35674, 35673, 35643])).
% 17.65/12.85 tff(35676,plain,
% 17.65/12.85 ((~(v13(constB122) <=> v9(constB121))) | (~v13(constB122)) | v9(constB121)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35677,plain,
% 17.65/12.85 (v9(constB121)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35676, 35675, 35641])).
% 17.65/12.85 tff(35678,plain,
% 17.65/12.85 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB121)) <=> v1(constB121))),
% 17.65/12.85 inference(quant_inst,[status(thm)],[])).
% 17.65/12.85 tff(35679,plain,
% 17.65/12.85 ((~v39(constB121)) <=> v1(constB121)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35678, 139])).
% 17.65/12.85 tff(35680,plain,
% 17.65/12.85 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121) | v1(constB121)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35681,plain,
% 17.65/12.85 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35680, 15963])).
% 17.65/12.85 tff(35682,plain,
% 17.65/12.85 (v39(constB121)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35681, 35679])).
% 17.65/12.85 tff(35683,plain,
% 17.65/12.85 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v39(constB121)) | (~v9(constB121))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35684,plain,
% 17.65/12.85 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v9(constB121))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35683, 35682])).
% 17.65/12.85 tff(35685,plain,
% 17.65/12.85 (~((~v39(constB121)) | (~v9(constB121)))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35684, 35677])).
% 17.65/12.85 tff(35686,plain,
% 17.65/12.85 ((~(v141(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))) | v141(constB121) | ((~v39(constB121)) | (~v9(constB121)))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35687,plain,
% 17.65/12.85 (v141(constB121)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35686, 35685, 35637])).
% 17.65/12.85 tff(35688,plain,
% 17.65/12.85 ((v141(constB121) | v26(constB121)) | (~v141(constB121))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35689,plain,
% 17.65/12.85 (v141(constB121) | v26(constB121)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35688, 35687])).
% 17.65/12.85 tff(35690,plain,
% 17.65/12.85 ((~(v140(constB121) <=> (v141(constB121) | v26(constB121)))) | v140(constB121) | (~(v141(constB121) | v26(constB121)))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35691,plain,
% 17.65/12.85 (v140(constB121)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35690, 35689, 35635])).
% 17.65/12.85 tff(35692,plain,
% 17.65/12.85 ((~((~v139(constB121)) <=> v140(constB121))) | (~v139(constB121)) | (~v140(constB121))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35693,plain,
% 17.65/12.85 (~v139(constB121)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35692, 35691, 35633])).
% 17.65/12.85 tff(35694,plain,
% 17.65/12.85 (((~v132(constB121)) | (~v139(constB121))) | v139(constB121)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35695,plain,
% 17.65/12.85 ((~v132(constB121)) | (~v139(constB121))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35694, 35693])).
% 17.65/12.85 tff(35696,plain,
% 17.65/12.85 ((~(v138(constB121) <=> (~((~v132(constB121)) | (~v139(constB121)))))) | (~v138(constB121)) | (~((~v132(constB121)) | (~v139(constB121))))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35697,plain,
% 17.65/12.85 (~v138(constB121)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35696, 35695, 35631])).
% 17.65/12.85 tff(35698,plain,
% 17.65/12.85 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB121) <=> (~((~v143(constB121)) | (~v144(constB121)))))),
% 17.65/12.85 inference(quant_inst,[status(thm)],[])).
% 17.65/12.85 tff(35699,plain,
% 17.65/12.85 (v142(constB121) <=> (~((~v143(constB121)) | (~v144(constB121))))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35698, 596])).
% 17.65/12.85 tff(35700,plain,
% 17.65/12.85 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB121) <=> (~((~v141(constB121)) | (~v145(constB121)))))),
% 17.65/12.85 inference(quant_inst,[status(thm)],[])).
% 17.65/12.85 tff(35701,plain,
% 17.65/12.85 (v144(constB121) <=> (~((~v141(constB121)) | (~v145(constB121))))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35700, 608])).
% 17.65/12.85 tff(35702,plain,
% 17.65/12.85 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB121) <=> (~(v84(constB121, 1) | v84(constB121, 2) | (~v84(constB121, 0)))))),
% 17.65/12.85 inference(quant_inst,[status(thm)],[])).
% 17.65/12.85 tff(35703,plain,
% 17.65/12.85 (v145(constB121) <=> (~(v84(constB121, 1) | v84(constB121, 2) | (~v84(constB121, 0))))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35702, 755])).
% 17.65/12.85 tff(35704,plain,
% 17.65/12.85 ((v84(constB121, 1) | v84(constB121, 2) | (~v84(constB121, 0))) | (~v84(constB121, 1))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35705,plain,
% 17.65/12.85 (v84(constB121, 1) | v84(constB121, 2) | (~v84(constB121, 0))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35704, 18168])).
% 17.65/12.85 tff(35706,plain,
% 17.65/12.85 ((~(v145(constB121) <=> (~(v84(constB121, 1) | v84(constB121, 2) | (~v84(constB121, 0)))))) | (~v145(constB121)) | (~(v84(constB121, 1) | v84(constB121, 2) | (~v84(constB121, 0))))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35707,plain,
% 17.65/12.85 (~v145(constB121)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35706, 35705, 35703])).
% 17.65/12.85 tff(35708,plain,
% 17.65/12.85 (((~v141(constB121)) | (~v145(constB121))) | v145(constB121)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35709,plain,
% 17.65/12.85 ((~v141(constB121)) | (~v145(constB121))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35708, 35707])).
% 17.65/12.85 tff(35710,plain,
% 17.65/12.85 ((~(v144(constB121) <=> (~((~v141(constB121)) | (~v145(constB121)))))) | (~v144(constB121)) | (~((~v141(constB121)) | (~v145(constB121))))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35711,plain,
% 17.65/12.85 (~v144(constB121)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35710, 35709, 35701])).
% 17.65/12.85 tff(35712,plain,
% 17.65/12.85 (((~v143(constB121)) | (~v144(constB121))) | v144(constB121)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35713,plain,
% 17.65/12.85 ((~v143(constB121)) | (~v144(constB121))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35712, 35711])).
% 17.65/12.85 tff(35714,plain,
% 17.65/12.85 ((~(v142(constB121) <=> (~((~v143(constB121)) | (~v144(constB121)))))) | (~v142(constB121)) | (~((~v143(constB121)) | (~v144(constB121))))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35715,plain,
% 17.65/12.85 (~v142(constB121)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35714, 35713, 35699])).
% 17.65/12.85 tff(35716,plain,
% 17.65/12.85 ((~(v138(constB121) | v142(constB121))) | v138(constB121) | v142(constB121)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35717,plain,
% 17.65/12.85 (~(v138(constB121) | v142(constB121))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35716, 35715, 35697])).
% 17.65/12.85 tff(35718,plain,
% 17.65/12.85 ((~(v135(constB121) <=> (v138(constB121) | v142(constB121)))) | (~v135(constB121)) | (v138(constB121) | v142(constB121))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35719,plain,
% 17.65/12.85 (~v135(constB121)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35718, 35717, 35624])).
% 17.65/12.85 tff(35720,plain,
% 17.65/12.85 ((~(v137(constB122) <=> v135(constB121))) | (~v137(constB122)) | v135(constB121)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35721,plain,
% 17.65/12.85 (~v137(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35720, 35719, 35622])).
% 17.65/12.85 tff(35722,plain,
% 17.65/12.85 ((~(v132(constB122) <=> v137(constB122))) | (~v132(constB122)) | v137(constB122)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35723,plain,
% 17.65/12.85 (~v132(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35722, 35721, 35618])).
% 17.65/12.85 tff(35724,plain,
% 17.65/12.85 (((~v132(constB122)) | (~v139(constB122))) | v132(constB122)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35725,plain,
% 17.65/12.85 ((~v132(constB122)) | (~v139(constB122))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35724, 35723])).
% 17.65/12.85 tff(35726,plain,
% 17.65/12.85 ((~(v138(constB122) <=> (~((~v132(constB122)) | (~v139(constB122)))))) | (~v138(constB122)) | (~((~v132(constB122)) | (~v139(constB122))))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35727,plain,
% 17.65/12.85 (~v138(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35726, 35725, 35616])).
% 17.65/12.85 tff(35728,plain,
% 17.65/12.85 ((~(v138(constB122) | v142(constB122))) | v138(constB122) | v142(constB122)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35729,plain,
% 17.65/12.85 (~(v138(constB122) | v142(constB122))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35728, 35727, 35609])).
% 17.65/12.85 tff(35730,plain,
% 17.65/12.85 ((~(v135(constB122) <=> (v138(constB122) | v142(constB122)))) | (~v135(constB122)) | (v138(constB122) | v142(constB122))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35731,plain,
% 17.65/12.85 (~v135(constB122)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35730, 35729, 35584])).
% 17.65/12.85 tff(35732,plain,
% 17.65/12.85 ((~(v137(constB123) <=> v135(constB122))) | (~v137(constB123)) | v135(constB122)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35733,plain,
% 17.65/12.85 (~v137(constB123)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35732, 35731, 35582])).
% 17.65/12.85 tff(35734,plain,
% 17.65/12.85 ((~(v132(constB123) <=> v137(constB123))) | (~v132(constB123)) | v137(constB123)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35735,plain,
% 17.65/12.85 (~v132(constB123)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35734, 35733, 35578])).
% 17.65/12.85 tff(35736,plain,
% 17.65/12.85 (((~v132(constB123)) | (~v155(constB123))) | v132(constB123)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35737,plain,
% 17.65/12.85 ((~v132(constB123)) | (~v155(constB123))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35736, 35735])).
% 17.65/12.85 tff(35738,plain,
% 17.65/12.85 ((~(v154(constB123) <=> (~((~v132(constB123)) | (~v155(constB123)))))) | (~v154(constB123)) | (~((~v132(constB123)) | (~v155(constB123))))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35739,plain,
% 17.65/12.85 (~v154(constB123)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35738, 35737, 35576])).
% 17.65/12.85 tff(35740,plain,
% 17.65/12.85 ((~(v153(constB123) | v154(constB123))) | v153(constB123) | v154(constB123)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35741,plain,
% 17.65/12.85 (~(v153(constB123) | v154(constB123))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35740, 35739, 35569])).
% 17.65/12.85 tff(35742,plain,
% 17.65/12.85 ((~(v150(constB123) <=> (v153(constB123) | v154(constB123)))) | (~v150(constB123)) | (v153(constB123) | v154(constB123))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35743,plain,
% 17.65/12.85 (~v150(constB123)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35742, 35741, 35558])).
% 17.65/12.85 tff(35744,plain,
% 17.65/12.85 ((~(v152(constB124) <=> v150(constB123))) | (~v152(constB124)) | v150(constB123)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35745,plain,
% 17.65/12.85 (~v152(constB124)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35744, 35743, 35556])).
% 17.65/12.85 tff(35746,plain,
% 17.65/12.85 ((~(v130(constB124) <=> v152(constB124))) | (~v130(constB124)) | v152(constB124)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35747,plain,
% 17.65/12.85 (~v130(constB124)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35746, 35745, 35552])).
% 17.65/12.85 tff(35748,plain,
% 17.65/12.85 (((~v130(constB124)) | (~v139(constB124))) | v130(constB124)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35749,plain,
% 17.65/12.85 ((~v130(constB124)) | (~v139(constB124))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35748, 35747])).
% 17.65/12.85 tff(35750,plain,
% 17.65/12.85 ((~(v153(constB124) <=> (~((~v130(constB124)) | (~v139(constB124)))))) | (~v153(constB124)) | (~((~v130(constB124)) | (~v139(constB124))))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35751,plain,
% 17.65/12.85 (~v153(constB124)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35750, 35749, 35550])).
% 17.65/12.85 tff(35752,plain,
% 17.65/12.85 ((~(v153(constB124) | v154(constB124))) | v153(constB124) | v154(constB124)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35753,plain,
% 17.65/12.85 (~(v153(constB124) | v154(constB124))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35752, 35751, 35543])).
% 17.65/12.85 tff(35754,plain,
% 17.65/12.85 ((~(v150(constB124) <=> (v153(constB124) | v154(constB124)))) | (~v150(constB124)) | (v153(constB124) | v154(constB124))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35755,plain,
% 17.65/12.85 (~v150(constB124)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35754, 35753, 35520])).
% 17.65/12.85 tff(35756,plain,
% 17.65/12.85 ((~(v152(constB125) <=> v150(constB124))) | (~v152(constB125)) | v150(constB124)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35757,plain,
% 17.65/12.85 (~v152(constB125)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35756, 35755, 35518])).
% 17.65/12.85 tff(35758,plain,
% 17.65/12.85 ((~(v130(constB125) <=> v152(constB125))) | (~v130(constB125)) | v152(constB125)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35759,plain,
% 17.65/12.85 (~v130(constB125)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35758, 35757, 35514])).
% 17.65/12.85 tff(35760,plain,
% 17.65/12.85 (((~v130(constB125)) | (~v155(constB125))) | v130(constB125)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35761,plain,
% 17.65/12.85 ((~v130(constB125)) | (~v155(constB125))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35760, 35759])).
% 17.65/12.85 tff(35762,plain,
% 17.65/12.85 ((~(v164(constB125) <=> (~((~v130(constB125)) | (~v155(constB125)))))) | (~v164(constB125)) | (~((~v130(constB125)) | (~v155(constB125))))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35763,plain,
% 17.65/12.85 (~v164(constB125)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35762, 35761, 35512])).
% 17.65/12.85 tff(35764,plain,
% 17.65/12.85 ((~(v163(constB125) | v164(constB125))) | v163(constB125) | v164(constB125)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35765,plain,
% 17.65/12.85 (~(v163(constB125) | v164(constB125))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35764, 35763, 35505])).
% 17.65/12.85 tff(35766,plain,
% 17.65/12.85 ((~(v160(constB125) <=> (v163(constB125) | v164(constB125)))) | (~v160(constB125)) | (v163(constB125) | v164(constB125))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35767,plain,
% 17.65/12.85 (~v160(constB125)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35766, 35765, 35494])).
% 17.65/12.85 tff(35768,plain,
% 17.65/12.85 ((~(v162(constB126) <=> v160(constB125))) | (~v162(constB126)) | v160(constB125)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35769,plain,
% 17.65/12.85 (~v162(constB126)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35768, 35767, 35492])).
% 17.65/12.85 tff(35770,plain,
% 17.65/12.85 ((~(v128(constB126) <=> v162(constB126))) | (~v128(constB126)) | v162(constB126)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35771,plain,
% 17.65/12.85 (~v128(constB126)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35770, 35769, 35488])).
% 17.65/12.85 tff(35772,plain,
% 17.65/12.85 (((~v128(constB126)) | (~v139(constB126))) | v128(constB126)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35773,plain,
% 17.65/12.85 ((~v128(constB126)) | (~v139(constB126))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35772, 35771])).
% 17.65/12.85 tff(35774,plain,
% 17.65/12.85 ((~(v163(constB126) <=> (~((~v128(constB126)) | (~v139(constB126)))))) | (~v163(constB126)) | (~((~v128(constB126)) | (~v139(constB126))))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35775,plain,
% 17.65/12.85 (~v163(constB126)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35774, 35773, 35486])).
% 17.65/12.85 tff(35776,plain,
% 17.65/12.85 ((~(v163(constB126) | v164(constB126))) | v163(constB126) | v164(constB126)),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35777,plain,
% 17.65/12.85 (~(v163(constB126) | v164(constB126))),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35776, 35775, 35479])).
% 17.65/12.85 tff(35778,plain,
% 17.65/12.85 ((~(v160(constB126) <=> (v163(constB126) | v164(constB126)))) | (~v160(constB126)) | (v163(constB126) | v164(constB126))),
% 17.65/12.85 inference(tautology,[status(thm)],[])).
% 17.65/12.85 tff(35779,plain,
% 17.65/12.85 (~v160(constB126)),
% 17.65/12.85 inference(unit_resolution,[status(thm)],[35778, 35777, 35468])).
% 17.65/12.85 tff(35780,plain,
% 17.65/12.86 ((~(v162(constB127) <=> v160(constB126))) | (~v162(constB127)) | v160(constB126)),
% 17.65/12.86 inference(tautology,[status(thm)],[])).
% 17.65/12.86 tff(35781,plain,
% 17.65/12.86 (~v162(constB127)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35780, 35779, 35466])).
% 17.65/12.86 tff(35782,plain,
% 17.65/12.86 ($false),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35781, 35462])).
% 17.65/12.86 tff(35783,plain,(~(constB127 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.65/12.86 tff(35784,assumption,(constB39 = VarCurr!0), introduced(assumption)).
% 17.65/12.86 tff(35785,plain,
% 17.65/12.86 (v162(constB39) <=> v162(VarCurr!0)),
% 17.65/12.86 inference(monotonicity,[status(thm)],[35784])).
% 17.65/12.86 tff(35786,plain,
% 17.65/12.86 (v162(VarCurr!0) <=> v162(constB39)),
% 17.65/12.86 inference(symmetry,[status(thm)],[35785])).
% 17.65/12.86 tff(35787,plain,
% 17.65/12.86 (v162(constB39)),
% 17.65/12.86 inference(modus_ponens,[status(thm)],[59, 35786])).
% 17.65/12.86 tff(35788,plain,
% 17.65/12.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB38, constB39)) | (v162(constB39) <=> v160(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB38, constB39)) | (v162(constB39) <=> v160(constB38)))),
% 17.65/12.86 inference(rewrite,[status(thm)],[])).
% 17.65/12.86 tff(35789,plain,
% 17.65/12.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB38, constB39)) | (v162(constB39) <=> v160(constB38)))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35790,plain,
% 17.65/12.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB38, constB39)) | (v162(constB39) <=> v160(constB38))),
% 17.65/12.86 inference(modus_ponens,[status(thm)],[35789, 35788])).
% 17.65/12.86 tff(35791,plain,
% 17.65/12.86 (v162(constB39) <=> v160(constB38)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35790, 995, 70])).
% 17.65/12.86 tff(35792,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB38) <=> (v163(constB38) | v164(constB38)))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35793,plain,
% 17.65/12.86 (v160(constB38) <=> (v163(constB38) | v164(constB38))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35792, 84])).
% 17.65/12.86 tff(35794,plain,
% 17.65/12.86 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v130(constB38)) | (~v155(constB38)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v130(constB38)) | (~v155(constB38))))))),
% 17.65/12.86 inference(rewrite,[status(thm)],[])).
% 17.65/12.86 tff(35795,plain,
% 17.65/12.86 ((v164(constB38) <=> (~((~v155(constB38)) | (~v130(constB38))))) <=> (v164(constB38) <=> (~((~v130(constB38)) | (~v155(constB38)))))),
% 17.65/12.86 inference(rewrite,[status(thm)],[])).
% 17.65/12.86 tff(35796,plain,
% 17.65/12.86 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v155(constB38)) | (~v130(constB38)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v130(constB38)) | (~v155(constB38))))))),
% 17.65/12.86 inference(monotonicity,[status(thm)],[35795])).
% 17.65/12.86 tff(35797,plain,
% 17.65/12.86 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v155(constB38)) | (~v130(constB38)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v130(constB38)) | (~v155(constB38))))))),
% 17.65/12.86 inference(transitivity,[status(thm)],[35796, 35794])).
% 17.65/12.86 tff(35798,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v155(constB38)) | (~v130(constB38)))))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35799,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v130(constB38)) | (~v155(constB38)))))),
% 17.65/12.86 inference(modus_ponens,[status(thm)],[35798, 35797])).
% 17.65/12.86 tff(35800,plain,
% 17.65/12.86 (v164(constB38) <=> (~((~v130(constB38)) | (~v155(constB38))))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35799, 96])).
% 17.65/12.86 tff(35801,plain,
% 17.65/12.86 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB38) <=> (~((~v141(constB38)) | (~v143(constB38)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB38) <=> (~((~v141(constB38)) | (~v143(constB38))))))),
% 17.65/12.86 inference(rewrite,[status(thm)],[])).
% 17.65/12.86 tff(35802,plain,
% 17.65/12.86 ((v155(constB38) <=> (~((~v143(constB38)) | (~v141(constB38))))) <=> (v155(constB38) <=> (~((~v141(constB38)) | (~v143(constB38)))))),
% 17.65/12.86 inference(rewrite,[status(thm)],[])).
% 17.65/12.86 tff(35803,plain,
% 17.65/12.86 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB38) <=> (~((~v143(constB38)) | (~v141(constB38)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB38) <=> (~((~v141(constB38)) | (~v143(constB38))))))),
% 17.65/12.86 inference(monotonicity,[status(thm)],[35802])).
% 17.65/12.86 tff(35804,plain,
% 17.65/12.86 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB38) <=> (~((~v143(constB38)) | (~v141(constB38)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB38) <=> (~((~v141(constB38)) | (~v143(constB38))))))),
% 17.65/12.86 inference(transitivity,[status(thm)],[35803, 35801])).
% 17.65/12.86 tff(35805,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB38) <=> (~((~v143(constB38)) | (~v141(constB38)))))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35806,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB38) <=> (~((~v141(constB38)) | (~v143(constB38)))))),
% 17.65/12.86 inference(modus_ponens,[status(thm)],[35805, 35804])).
% 17.65/12.86 tff(35807,plain,
% 17.65/12.86 (v155(constB38) <=> (~((~v141(constB38)) | (~v143(constB38))))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35806, 113])).
% 17.65/12.86 tff(35808,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB38) <=> (~((~v39(constB38)) | (~v9(constB38)))))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35809,plain,
% 17.65/12.86 (v141(constB38) <=> (~((~v39(constB38)) | (~v9(constB38))))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35808, 130])).
% 17.65/12.86 tff(35810,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB38)) <=> v1(constB38))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35811,plain,
% 17.65/12.86 ((~v39(constB38)) <=> v1(constB38)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35810, 139])).
% 17.65/12.86 tff(35812,plain,
% 17.65/12.86 ((~((~v39(constB38)) <=> v1(constB38))) | (~v39(constB38)) | (~v1(constB38))),
% 17.65/12.86 inference(tautology,[status(thm)],[])).
% 17.65/12.86 tff(35813,plain,
% 17.65/12.86 ((~((~v39(constB38)) <=> v1(constB38))) | (~v39(constB38))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35812, 5413])).
% 17.65/12.86 tff(35814,plain,
% 17.65/12.86 (~v39(constB38)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35813, 35811])).
% 17.65/12.86 tff(35815,plain,
% 17.65/12.86 (((~v39(constB38)) | (~v9(constB38))) | v39(constB38)),
% 17.65/12.86 inference(tautology,[status(thm)],[])).
% 17.65/12.86 tff(35816,plain,
% 17.65/12.86 ((~v39(constB38)) | (~v9(constB38))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35815, 35814])).
% 17.65/12.86 tff(35817,plain,
% 17.65/12.86 ((~(v141(constB38) <=> (~((~v39(constB38)) | (~v9(constB38)))))) | (~v141(constB38)) | (~((~v39(constB38)) | (~v9(constB38))))),
% 17.65/12.86 inference(tautology,[status(thm)],[])).
% 17.65/12.86 tff(35818,plain,
% 17.65/12.86 ((~(v141(constB38) <=> (~((~v39(constB38)) | (~v9(constB38)))))) | (~v141(constB38))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35817, 35816])).
% 17.65/12.86 tff(35819,plain,
% 17.65/12.86 (~v141(constB38)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35818, 35809])).
% 17.65/12.86 tff(35820,plain,
% 17.65/12.86 (((~v141(constB38)) | (~v143(constB38))) | v141(constB38)),
% 17.65/12.86 inference(tautology,[status(thm)],[])).
% 17.65/12.86 tff(35821,plain,
% 17.65/12.86 ((~v141(constB38)) | (~v143(constB38))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35820, 35819])).
% 17.65/12.86 tff(35822,plain,
% 17.65/12.86 ((~(v155(constB38) <=> (~((~v141(constB38)) | (~v143(constB38)))))) | (~v155(constB38)) | (~((~v141(constB38)) | (~v143(constB38))))),
% 17.65/12.86 inference(tautology,[status(thm)],[])).
% 17.65/12.86 tff(35823,plain,
% 17.65/12.86 ((~(v155(constB38) <=> (~((~v141(constB38)) | (~v143(constB38)))))) | (~v155(constB38))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35822, 35821])).
% 17.65/12.86 tff(35824,plain,
% 17.65/12.86 (~v155(constB38)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35823, 35807])).
% 17.65/12.86 tff(35825,plain,
% 17.65/12.86 (((~v130(constB38)) | (~v155(constB38))) | v155(constB38)),
% 17.65/12.86 inference(tautology,[status(thm)],[])).
% 17.65/12.86 tff(35826,plain,
% 17.65/12.86 ((~v130(constB38)) | (~v155(constB38))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35825, 35824])).
% 17.65/12.86 tff(35827,plain,
% 17.65/12.86 ((~(v164(constB38) <=> (~((~v130(constB38)) | (~v155(constB38)))))) | (~v164(constB38)) | (~((~v130(constB38)) | (~v155(constB38))))),
% 17.65/12.86 inference(tautology,[status(thm)],[])).
% 17.65/12.86 tff(35828,plain,
% 17.65/12.86 (~v164(constB38)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35827, 35826, 35800])).
% 17.65/12.86 tff(35829,plain,
% 17.65/12.86 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38))))))),
% 17.65/12.86 inference(rewrite,[status(thm)],[])).
% 17.65/12.86 tff(35830,plain,
% 17.65/12.86 ((v163(constB38) <=> (~((~v139(constB38)) | (~v128(constB38))))) <=> (v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38)))))),
% 17.65/12.86 inference(rewrite,[status(thm)],[])).
% 17.65/12.86 tff(35831,plain,
% 17.65/12.86 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v139(constB38)) | (~v128(constB38)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38))))))),
% 17.65/12.86 inference(monotonicity,[status(thm)],[35830])).
% 17.65/12.86 tff(35832,plain,
% 17.65/12.86 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v139(constB38)) | (~v128(constB38)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38))))))),
% 17.65/12.86 inference(transitivity,[status(thm)],[35831, 35829])).
% 17.65/12.86 tff(35833,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v139(constB38)) | (~v128(constB38)))))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35834,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38)))))),
% 17.65/12.86 inference(modus_ponens,[status(thm)],[35833, 35832])).
% 17.65/12.86 tff(35835,plain,
% 17.65/12.86 (v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38))))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35834, 171])).
% 17.65/12.86 tff(35836,plain,
% 17.65/12.86 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB38) <=> v162(constB38))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35837,plain,
% 17.65/12.86 (v128(constB38) <=> v162(constB38)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35836, 13])).
% 17.65/12.86 tff(35838,plain,
% 17.65/12.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB37, constB38)) | (v162(constB38) <=> v160(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB37, constB38)) | (v162(constB38) <=> v160(constB37)))),
% 17.65/12.86 inference(rewrite,[status(thm)],[])).
% 17.65/12.86 tff(35839,plain,
% 17.65/12.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB37, constB38)) | (v162(constB38) <=> v160(constB37)))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35840,plain,
% 17.65/12.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB37, constB38)) | (v162(constB38) <=> v160(constB37))),
% 17.65/12.86 inference(modus_ponens,[status(thm)],[35839, 35838])).
% 17.65/12.86 tff(35841,plain,
% 17.65/12.86 (v162(constB38) <=> v160(constB37)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35840, 1031, 70])).
% 17.65/12.86 tff(35842,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB37) <=> (v163(constB37) | v164(constB37)))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35843,plain,
% 17.65/12.86 (v160(constB37) <=> (v163(constB37) | v164(constB37))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35842, 84])).
% 17.65/12.86 tff(35844,plain,
% 17.65/12.86 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37))))))),
% 17.65/12.86 inference(rewrite,[status(thm)],[])).
% 17.65/12.86 tff(35845,plain,
% 17.65/12.86 ((v163(constB37) <=> (~((~v139(constB37)) | (~v128(constB37))))) <=> (v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37)))))),
% 17.65/12.86 inference(rewrite,[status(thm)],[])).
% 17.65/12.86 tff(35846,plain,
% 17.65/12.86 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v139(constB37)) | (~v128(constB37)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37))))))),
% 17.65/12.86 inference(monotonicity,[status(thm)],[35845])).
% 17.65/12.86 tff(35847,plain,
% 17.65/12.86 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v139(constB37)) | (~v128(constB37)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37))))))),
% 17.65/12.86 inference(transitivity,[status(thm)],[35846, 35844])).
% 17.65/12.86 tff(35848,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v139(constB37)) | (~v128(constB37)))))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35849,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37)))))),
% 17.65/12.86 inference(modus_ponens,[status(thm)],[35848, 35847])).
% 17.65/12.86 tff(35850,plain,
% 17.65/12.86 (v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37))))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35849, 171])).
% 17.65/12.86 tff(35851,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB37)) <=> v140(constB37))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35852,plain,
% 17.65/12.86 ((~v139(constB37)) <=> v140(constB37)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35851, 203])).
% 17.65/12.86 tff(35853,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB37) <=> (v141(constB37) | v26(constB37)))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35854,plain,
% 17.65/12.86 (v140(constB37) <=> (v141(constB37) | v26(constB37))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35853, 212])).
% 17.65/12.86 tff(35855,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB37) <=> (~((~v39(constB37)) | (~v9(constB37)))))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35856,plain,
% 17.65/12.86 (v141(constB37) <=> (~((~v39(constB37)) | (~v9(constB37))))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35855, 130])).
% 17.65/12.86 tff(35857,plain,
% 17.65/12.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB37, constB38)) | (v13(constB38) <=> v9(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB37, constB38)) | (v13(constB38) <=> v9(constB37)))),
% 17.65/12.86 inference(rewrite,[status(thm)],[])).
% 17.65/12.86 tff(35858,plain,
% 17.65/12.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB37, constB38)) | (v13(constB38) <=> v9(constB37)))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35859,plain,
% 17.65/12.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB37, constB38)) | (v13(constB38) <=> v9(constB37))),
% 17.65/12.86 inference(modus_ponens,[status(thm)],[35858, 35857])).
% 17.65/12.86 tff(35860,plain,
% 17.65/12.86 (v13(constB38) <=> v9(constB37)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35859, 1031, 226])).
% 17.65/12.86 tff(35861,plain,
% 17.65/12.86 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB38) <=> v13(constB38))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35862,plain,
% 17.65/12.86 (v6(constB38) <=> v13(constB38)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35861, 240])).
% 17.65/12.86 tff(35863,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB38)) <=> v6(constB38))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35864,plain,
% 17.65/12.86 ((~v21(constB38)) <=> v6(constB38)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35863, 249])).
% 17.65/12.86 tff(35865,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB38) <=> (v20(constB38) | v21(constB38)))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35866,plain,
% 17.65/12.86 (v19(constB38) <=> (v20(constB38) | v21(constB38))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35865, 258])).
% 17.65/12.86 tff(35867,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB38) <=> (~((~v19(constB38)) | (~v22(constB38)))))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35868,plain,
% 17.65/12.86 (v18(constB38) <=> (~((~v19(constB38)) | (~v22(constB38))))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35867, 270])).
% 17.65/12.86 tff(35869,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB38)) <=> v18(constB38))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35870,plain,
% 17.65/12.86 ((~v4(constB38)) <=> v18(constB38)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35869, 279])).
% 17.65/12.86 tff(35871,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB38)),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35872,plain,
% 17.65/12.86 (v4(constB38)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35871, 288])).
% 17.65/12.86 tff(35873,plain,
% 17.65/12.86 ((~((~v4(constB38)) <=> v18(constB38))) | (~v4(constB38)) | (~v18(constB38))),
% 17.65/12.86 inference(tautology,[status(thm)],[])).
% 17.65/12.86 tff(35874,plain,
% 17.65/12.86 (~v18(constB38)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35873, 35872, 35870])).
% 17.65/12.86 tff(35875,plain,
% 17.65/12.86 ((~(v18(constB38) <=> (~((~v19(constB38)) | (~v22(constB38)))))) | v18(constB38) | ((~v19(constB38)) | (~v22(constB38)))),
% 17.65/12.86 inference(tautology,[status(thm)],[])).
% 17.65/12.86 tff(35876,plain,
% 17.65/12.86 ((~v19(constB38)) | (~v22(constB38))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35875, 35874, 35868])).
% 17.65/12.86 tff(35877,plain,
% 17.65/12.86 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB38) <=> (v1(constB38) | v6(constB38)))),
% 17.65/12.86 inference(quant_inst,[status(thm)],[])).
% 17.65/12.86 tff(35878,plain,
% 17.65/12.86 (v22(constB38) <=> (v1(constB38) | v6(constB38))),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35877, 301])).
% 17.65/12.86 tff(35879,plain,
% 17.65/12.86 ((v1(constB38) | v6(constB38)) | (~v1(constB38))),
% 17.65/12.86 inference(tautology,[status(thm)],[])).
% 17.65/12.86 tff(35880,plain,
% 17.65/12.86 (v1(constB38) | v6(constB38)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35879, 5413])).
% 17.65/12.86 tff(35881,plain,
% 17.65/12.86 ((~(v22(constB38) <=> (v1(constB38) | v6(constB38)))) | v22(constB38) | (~(v1(constB38) | v6(constB38)))),
% 17.65/12.86 inference(tautology,[status(thm)],[])).
% 17.65/12.86 tff(35882,plain,
% 17.65/12.86 ((~(v22(constB38) <=> (v1(constB38) | v6(constB38)))) | v22(constB38)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35881, 35880])).
% 17.65/12.86 tff(35883,plain,
% 17.65/12.86 (v22(constB38)),
% 17.65/12.86 inference(unit_resolution,[status(thm)],[35882, 35878])).
% 17.65/12.86 tff(35884,plain,
% 17.65/12.86 ((~((~v19(constB38)) | (~v22(constB38)))) | (~v19(constB38)) | (~v22(constB38))),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35885,plain,
% 17.65/12.87 ((~((~v19(constB38)) | (~v22(constB38)))) | (~v19(constB38))),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35884, 35883])).
% 17.65/12.87 tff(35886,plain,
% 17.65/12.87 (~v19(constB38)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35885, 35876])).
% 17.65/12.87 tff(35887,plain,
% 17.65/12.87 ((~(v19(constB38) <=> (v20(constB38) | v21(constB38)))) | v19(constB38) | (~(v20(constB38) | v21(constB38)))),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35888,plain,
% 17.65/12.87 (~(v20(constB38) | v21(constB38))),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35887, 35886, 35866])).
% 17.65/12.87 tff(35889,plain,
% 17.65/12.87 ((v20(constB38) | v21(constB38)) | (~v21(constB38))),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35890,plain,
% 17.65/12.87 (~v21(constB38)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35889, 35888])).
% 17.65/12.87 tff(35891,plain,
% 17.65/12.87 ((~((~v21(constB38)) <=> v6(constB38))) | v21(constB38) | v6(constB38)),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35892,plain,
% 17.65/12.87 (v6(constB38)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35891, 35890, 35864])).
% 17.65/12.87 tff(35893,plain,
% 17.65/12.87 ((~(v6(constB38) <=> v13(constB38))) | (~v6(constB38)) | v13(constB38)),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35894,plain,
% 17.65/12.87 (v13(constB38)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35893, 35892, 35862])).
% 17.65/12.87 tff(35895,plain,
% 17.65/12.87 ((~(v13(constB38) <=> v9(constB37))) | (~v13(constB38)) | v9(constB37)),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35896,plain,
% 17.65/12.87 (v9(constB37)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35895, 35894, 35860])).
% 17.65/12.87 tff(35897,plain,
% 17.65/12.87 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB37)) <=> v1(constB37))),
% 17.65/12.87 inference(quant_inst,[status(thm)],[])).
% 17.65/12.87 tff(35898,plain,
% 17.65/12.87 ((~v39(constB37)) <=> v1(constB37)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35897, 139])).
% 17.65/12.87 tff(35899,plain,
% 17.65/12.87 ((~((~v39(constB37)) <=> v1(constB37))) | v39(constB37) | v1(constB37)),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35900,plain,
% 17.65/12.87 ((~((~v39(constB37)) <=> v1(constB37))) | v39(constB37)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35899, 1083])).
% 17.65/12.87 tff(35901,plain,
% 17.65/12.87 (v39(constB37)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35900, 35898])).
% 17.65/12.87 tff(35902,plain,
% 17.65/12.87 ((~((~v39(constB37)) | (~v9(constB37)))) | (~v39(constB37)) | (~v9(constB37))),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35903,plain,
% 17.65/12.87 ((~((~v39(constB37)) | (~v9(constB37)))) | (~v9(constB37))),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35902, 35901])).
% 17.65/12.87 tff(35904,plain,
% 17.65/12.87 (~((~v39(constB37)) | (~v9(constB37)))),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35903, 35896])).
% 17.65/12.87 tff(35905,plain,
% 17.65/12.87 ((~(v141(constB37) <=> (~((~v39(constB37)) | (~v9(constB37)))))) | v141(constB37) | ((~v39(constB37)) | (~v9(constB37)))),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35906,plain,
% 17.65/12.87 (v141(constB37)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35905, 35904, 35856])).
% 17.65/12.87 tff(35907,plain,
% 17.65/12.87 ((v141(constB37) | v26(constB37)) | (~v141(constB37))),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35908,plain,
% 17.65/12.87 (v141(constB37) | v26(constB37)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35907, 35906])).
% 17.65/12.87 tff(35909,plain,
% 17.65/12.87 ((~(v140(constB37) <=> (v141(constB37) | v26(constB37)))) | v140(constB37) | (~(v141(constB37) | v26(constB37)))),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35910,plain,
% 17.65/12.87 (v140(constB37)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35909, 35908, 35854])).
% 17.65/12.87 tff(35911,plain,
% 17.65/12.87 ((~((~v139(constB37)) <=> v140(constB37))) | (~v139(constB37)) | (~v140(constB37))),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35912,plain,
% 17.65/12.87 (~v139(constB37)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35911, 35910, 35852])).
% 17.65/12.87 tff(35913,plain,
% 17.65/12.87 (((~v128(constB37)) | (~v139(constB37))) | v139(constB37)),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35914,plain,
% 17.65/12.87 ((~v128(constB37)) | (~v139(constB37))),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35913, 35912])).
% 17.65/12.87 tff(35915,plain,
% 17.65/12.87 ((~(v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37)))))) | (~v163(constB37)) | (~((~v128(constB37)) | (~v139(constB37))))),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35916,plain,
% 17.65/12.87 (~v163(constB37)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35915, 35914, 35850])).
% 17.65/12.87 tff(35917,plain,
% 17.65/12.87 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v130(constB37)) | (~v155(constB37)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v130(constB37)) | (~v155(constB37))))))),
% 17.65/12.87 inference(rewrite,[status(thm)],[])).
% 17.65/12.87 tff(35918,plain,
% 17.65/12.87 ((v164(constB37) <=> (~((~v155(constB37)) | (~v130(constB37))))) <=> (v164(constB37) <=> (~((~v130(constB37)) | (~v155(constB37)))))),
% 17.65/12.87 inference(rewrite,[status(thm)],[])).
% 17.65/12.87 tff(35919,plain,
% 17.65/12.87 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v155(constB37)) | (~v130(constB37)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v130(constB37)) | (~v155(constB37))))))),
% 17.65/12.87 inference(monotonicity,[status(thm)],[35918])).
% 17.65/12.87 tff(35920,plain,
% 17.65/12.87 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v155(constB37)) | (~v130(constB37)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v130(constB37)) | (~v155(constB37))))))),
% 17.65/12.87 inference(transitivity,[status(thm)],[35919, 35917])).
% 17.65/12.87 tff(35921,plain,
% 17.65/12.87 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v155(constB37)) | (~v130(constB37)))))),
% 17.65/12.87 inference(quant_inst,[status(thm)],[])).
% 17.65/12.87 tff(35922,plain,
% 17.65/12.87 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v130(constB37)) | (~v155(constB37)))))),
% 17.65/12.87 inference(modus_ponens,[status(thm)],[35921, 35920])).
% 17.65/12.87 tff(35923,plain,
% 17.65/12.87 (v164(constB37) <=> (~((~v130(constB37)) | (~v155(constB37))))),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35922, 96])).
% 17.65/12.87 tff(35924,plain,
% 17.65/12.87 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB37) <=> v152(constB37))),
% 17.65/12.87 inference(quant_inst,[status(thm)],[])).
% 17.65/12.87 tff(35925,plain,
% 17.65/12.87 (v130(constB37) <=> v152(constB37)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35924, 361])).
% 17.65/12.87 tff(35926,plain,
% 17.65/12.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB36, constB37)) | (v152(constB37) <=> v150(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB36, constB37)) | (v152(constB37) <=> v150(constB36)))),
% 17.65/12.87 inference(rewrite,[status(thm)],[])).
% 17.65/12.87 tff(35927,plain,
% 17.65/12.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB36, constB37)) | (v152(constB37) <=> v150(constB36)))),
% 17.65/12.87 inference(quant_inst,[status(thm)],[])).
% 17.65/12.87 tff(35928,plain,
% 17.65/12.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB36, constB37)) | (v152(constB37) <=> v150(constB36))),
% 17.65/12.87 inference(modus_ponens,[status(thm)],[35927, 35926])).
% 17.65/12.87 tff(35929,plain,
% 17.65/12.87 (v152(constB37) <=> v150(constB36)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35928, 1069, 373])).
% 17.65/12.87 tff(35930,plain,
% 17.65/12.87 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB36) <=> (v153(constB36) | v154(constB36)))),
% 17.65/12.87 inference(quant_inst,[status(thm)],[])).
% 17.65/12.87 tff(35931,plain,
% 17.65/12.87 (v150(constB36) <=> (v153(constB36) | v154(constB36))),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35930, 387])).
% 17.65/12.87 tff(35932,plain,
% 17.65/12.87 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB36) <=> (~((~v132(constB36)) | (~v155(constB36)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB36) <=> (~((~v132(constB36)) | (~v155(constB36))))))),
% 17.65/12.87 inference(rewrite,[status(thm)],[])).
% 17.65/12.87 tff(35933,plain,
% 17.65/12.87 ((v154(constB36) <=> (~((~v155(constB36)) | (~v132(constB36))))) <=> (v154(constB36) <=> (~((~v132(constB36)) | (~v155(constB36)))))),
% 17.65/12.87 inference(rewrite,[status(thm)],[])).
% 17.65/12.87 tff(35934,plain,
% 17.65/12.87 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB36) <=> (~((~v155(constB36)) | (~v132(constB36)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB36) <=> (~((~v132(constB36)) | (~v155(constB36))))))),
% 17.65/12.87 inference(monotonicity,[status(thm)],[35933])).
% 17.65/12.87 tff(35935,plain,
% 17.65/12.87 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB36) <=> (~((~v155(constB36)) | (~v132(constB36)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB36) <=> (~((~v132(constB36)) | (~v155(constB36))))))),
% 17.65/12.87 inference(transitivity,[status(thm)],[35934, 35932])).
% 17.65/12.87 tff(35936,plain,
% 17.65/12.87 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB36) <=> (~((~v155(constB36)) | (~v132(constB36)))))),
% 17.65/12.87 inference(quant_inst,[status(thm)],[])).
% 17.65/12.87 tff(35937,plain,
% 17.65/12.87 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB36) <=> (~((~v132(constB36)) | (~v155(constB36)))))),
% 17.65/12.87 inference(modus_ponens,[status(thm)],[35936, 35935])).
% 17.65/12.87 tff(35938,plain,
% 17.65/12.87 (v154(constB36) <=> (~((~v132(constB36)) | (~v155(constB36))))),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35937, 399])).
% 17.65/12.87 tff(35939,plain,
% 17.65/12.87 (((~v132(constB36)) | (~v155(constB36))) | v155(constB36)),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35940,plain,
% 17.65/12.87 ((~v132(constB36)) | (~v155(constB36))),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35939, 33554])).
% 17.65/12.87 tff(35941,plain,
% 17.65/12.87 ((~(v154(constB36) <=> (~((~v132(constB36)) | (~v155(constB36)))))) | (~v154(constB36)) | (~((~v132(constB36)) | (~v155(constB36))))),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.65/12.87 tff(35942,plain,
% 17.65/12.87 (~v154(constB36)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35941, 35940, 35938])).
% 17.65/12.87 tff(35943,plain,
% 17.65/12.87 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB36) <=> (~((~v130(constB36)) | (~v139(constB36)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB36) <=> (~((~v130(constB36)) | (~v139(constB36))))))),
% 17.65/12.87 inference(rewrite,[status(thm)],[])).
% 17.65/12.87 tff(35944,plain,
% 17.65/12.87 ((v153(constB36) <=> (~((~v139(constB36)) | (~v130(constB36))))) <=> (v153(constB36) <=> (~((~v130(constB36)) | (~v139(constB36)))))),
% 17.65/12.87 inference(rewrite,[status(thm)],[])).
% 17.65/12.87 tff(35945,plain,
% 17.65/12.87 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB36) <=> (~((~v139(constB36)) | (~v130(constB36)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB36) <=> (~((~v130(constB36)) | (~v139(constB36))))))),
% 17.65/12.87 inference(monotonicity,[status(thm)],[35944])).
% 17.65/12.87 tff(35946,plain,
% 17.65/12.87 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB36) <=> (~((~v139(constB36)) | (~v130(constB36)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB36) <=> (~((~v130(constB36)) | (~v139(constB36))))))),
% 17.65/12.87 inference(transitivity,[status(thm)],[35945, 35943])).
% 17.65/12.87 tff(35947,plain,
% 17.65/12.87 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB36) <=> (~((~v139(constB36)) | (~v130(constB36)))))),
% 17.65/12.87 inference(quant_inst,[status(thm)],[])).
% 17.65/12.87 tff(35948,plain,
% 17.65/12.87 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB36) <=> (~((~v130(constB36)) | (~v139(constB36)))))),
% 17.65/12.87 inference(modus_ponens,[status(thm)],[35947, 35946])).
% 17.65/12.87 tff(35949,plain,
% 17.65/12.87 (v153(constB36) <=> (~((~v130(constB36)) | (~v139(constB36))))),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35948, 447])).
% 17.65/12.87 tff(35950,plain,
% 17.65/12.87 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB36) <=> v152(constB36))),
% 17.65/12.87 inference(quant_inst,[status(thm)],[])).
% 17.65/12.87 tff(35951,plain,
% 17.65/12.87 (v130(constB36) <=> v152(constB36)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35950, 361])).
% 17.65/12.87 tff(35952,plain,
% 17.65/12.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB35, constB36)) | (v152(constB36) <=> v150(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB35, constB36)) | (v152(constB36) <=> v150(constB35)))),
% 17.65/12.87 inference(rewrite,[status(thm)],[])).
% 17.65/12.87 tff(35953,plain,
% 17.65/12.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB35, constB36)) | (v152(constB36) <=> v150(constB35)))),
% 17.65/12.87 inference(quant_inst,[status(thm)],[])).
% 17.65/12.87 tff(35954,plain,
% 17.65/12.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB35, constB36)) | (v152(constB36) <=> v150(constB35))),
% 17.65/12.87 inference(modus_ponens,[status(thm)],[35953, 35952])).
% 17.65/12.87 tff(35955,plain,
% 17.65/12.87 (v152(constB36) <=> v150(constB35)),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35954, 1105, 373])).
% 17.65/12.87 tff(35956,plain,
% 17.65/12.87 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB35) <=> (v153(constB35) | v154(constB35)))),
% 17.65/12.87 inference(quant_inst,[status(thm)],[])).
% 17.65/12.87 tff(35957,plain,
% 17.65/12.87 (v150(constB35) <=> (v153(constB35) | v154(constB35))),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35956, 387])).
% 17.65/12.87 tff(35958,plain,
% 17.65/12.87 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB35) <=> (~((~v130(constB35)) | (~v139(constB35)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB35) <=> (~((~v130(constB35)) | (~v139(constB35))))))),
% 17.65/12.87 inference(rewrite,[status(thm)],[])).
% 17.65/12.87 tff(35959,plain,
% 17.65/12.87 ((v153(constB35) <=> (~((~v139(constB35)) | (~v130(constB35))))) <=> (v153(constB35) <=> (~((~v130(constB35)) | (~v139(constB35)))))),
% 17.65/12.87 inference(rewrite,[status(thm)],[])).
% 17.65/12.87 tff(35960,plain,
% 17.65/12.87 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB35) <=> (~((~v139(constB35)) | (~v130(constB35)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB35) <=> (~((~v130(constB35)) | (~v139(constB35))))))),
% 17.65/12.87 inference(monotonicity,[status(thm)],[35959])).
% 17.65/12.87 tff(35961,plain,
% 17.65/12.87 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB35) <=> (~((~v139(constB35)) | (~v130(constB35)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB35) <=> (~((~v130(constB35)) | (~v139(constB35))))))),
% 17.65/12.87 inference(transitivity,[status(thm)],[35960, 35958])).
% 17.65/12.87 tff(35962,plain,
% 17.65/12.87 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB35) <=> (~((~v139(constB35)) | (~v130(constB35)))))),
% 17.65/12.87 inference(quant_inst,[status(thm)],[])).
% 17.65/12.87 tff(35963,plain,
% 17.65/12.87 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB35) <=> (~((~v130(constB35)) | (~v139(constB35)))))),
% 17.65/12.87 inference(modus_ponens,[status(thm)],[35962, 35961])).
% 17.65/12.87 tff(35964,plain,
% 17.65/12.87 (v153(constB35) <=> (~((~v130(constB35)) | (~v139(constB35))))),
% 17.65/12.87 inference(unit_resolution,[status(thm)],[35963, 447])).
% 17.65/12.87 tff(35965,plain,
% 17.65/12.87 (((~v130(constB35)) | (~v139(constB35))) | v139(constB35)),
% 17.65/12.87 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(35966,plain,
% 17.74/12.88 ((~v130(constB35)) | (~v139(constB35))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[35965, 33642])).
% 17.74/12.88 tff(35967,plain,
% 17.74/12.88 ((~(v153(constB35) <=> (~((~v130(constB35)) | (~v139(constB35)))))) | (~v153(constB35)) | (~((~v130(constB35)) | (~v139(constB35))))),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(35968,plain,
% 17.74/12.88 (~v153(constB35)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[35967, 35966, 35964])).
% 17.74/12.88 tff(35969,plain,
% 17.74/12.88 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB35) <=> (~((~v132(constB35)) | (~v155(constB35)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB35) <=> (~((~v132(constB35)) | (~v155(constB35))))))),
% 17.74/12.88 inference(rewrite,[status(thm)],[])).
% 17.74/12.88 tff(35970,plain,
% 17.74/12.88 ((v154(constB35) <=> (~((~v155(constB35)) | (~v132(constB35))))) <=> (v154(constB35) <=> (~((~v132(constB35)) | (~v155(constB35)))))),
% 17.74/12.88 inference(rewrite,[status(thm)],[])).
% 17.74/12.88 tff(35971,plain,
% 17.74/12.88 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB35) <=> (~((~v155(constB35)) | (~v132(constB35)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB35) <=> (~((~v132(constB35)) | (~v155(constB35))))))),
% 17.74/12.88 inference(monotonicity,[status(thm)],[35970])).
% 17.74/12.88 tff(35972,plain,
% 17.74/12.88 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB35) <=> (~((~v155(constB35)) | (~v132(constB35)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB35) <=> (~((~v132(constB35)) | (~v155(constB35))))))),
% 17.74/12.88 inference(transitivity,[status(thm)],[35971, 35969])).
% 17.74/12.88 tff(35973,plain,
% 17.74/12.88 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB35) <=> (~((~v155(constB35)) | (~v132(constB35)))))),
% 17.74/12.88 inference(quant_inst,[status(thm)],[])).
% 17.74/12.88 tff(35974,plain,
% 17.74/12.88 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB35) <=> (~((~v132(constB35)) | (~v155(constB35)))))),
% 17.74/12.88 inference(modus_ponens,[status(thm)],[35973, 35972])).
% 17.74/12.88 tff(35975,plain,
% 17.74/12.88 (v154(constB35) <=> (~((~v132(constB35)) | (~v155(constB35))))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[35974, 399])).
% 17.74/12.88 tff(35976,plain,
% 17.74/12.88 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB35) <=> v137(constB35))),
% 17.74/12.88 inference(quant_inst,[status(thm)],[])).
% 17.74/12.88 tff(35977,plain,
% 17.74/12.88 (v132(constB35) <=> v137(constB35)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[35976, 558])).
% 17.74/12.88 tff(35978,plain,
% 17.74/12.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB34, constB35)) | (v137(constB35) <=> v135(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB34, constB35)) | (v137(constB35) <=> v135(constB34)))),
% 17.74/12.88 inference(rewrite,[status(thm)],[])).
% 17.74/12.88 tff(35979,plain,
% 17.74/12.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB34, constB35)) | (v137(constB35) <=> v135(constB34)))),
% 17.74/12.88 inference(quant_inst,[status(thm)],[])).
% 17.74/12.88 tff(35980,plain,
% 17.74/12.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB34, constB35)) | (v137(constB35) <=> v135(constB34))),
% 17.74/12.88 inference(modus_ponens,[status(thm)],[35979, 35978])).
% 17.74/12.88 tff(35981,plain,
% 17.74/12.88 (v137(constB35) <=> v135(constB34)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[35980, 1130, 570])).
% 17.74/12.88 tff(35982,plain,
% 17.74/12.88 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB34) <=> (v138(constB34) | v142(constB34)))),
% 17.74/12.88 inference(quant_inst,[status(thm)],[])).
% 17.74/12.88 tff(35983,plain,
% 17.74/12.88 (v135(constB34) <=> (v138(constB34) | v142(constB34))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[35982, 584])).
% 17.74/12.88 tff(35984,plain,
% 17.74/12.88 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB34) <=> (~((~v143(constB34)) | (~v144(constB34)))))),
% 17.74/12.88 inference(quant_inst,[status(thm)],[])).
% 17.74/12.88 tff(35985,plain,
% 17.74/12.88 (v142(constB34) <=> (~((~v143(constB34)) | (~v144(constB34))))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[35984, 596])).
% 17.74/12.88 tff(35986,plain,
% 17.74/12.88 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB34) <=> (~((~v141(constB34)) | (~v145(constB34)))))),
% 17.74/12.88 inference(quant_inst,[status(thm)],[])).
% 17.74/12.88 tff(35987,plain,
% 17.74/12.88 (v144(constB34) <=> (~((~v141(constB34)) | (~v145(constB34))))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[35986, 608])).
% 17.74/12.88 tff(35988,plain,
% 17.74/12.88 (((~v141(constB34)) | (~v145(constB34))) | v141(constB34)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(35989,plain,
% 17.74/12.88 ((~v141(constB34)) | (~v145(constB34))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[35988, 33687])).
% 17.74/12.88 tff(35990,plain,
% 17.74/12.88 ((~(v144(constB34) <=> (~((~v141(constB34)) | (~v145(constB34)))))) | (~v144(constB34)) | (~((~v141(constB34)) | (~v145(constB34))))),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(35991,plain,
% 17.74/12.88 ((~(v144(constB34) <=> (~((~v141(constB34)) | (~v145(constB34)))))) | (~v144(constB34))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[35990, 35989])).
% 17.74/12.88 tff(35992,plain,
% 17.74/12.88 (~v144(constB34)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[35991, 35987])).
% 17.74/12.88 tff(35993,plain,
% 17.74/12.88 (((~v143(constB34)) | (~v144(constB34))) | v144(constB34)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(35994,plain,
% 17.74/12.88 ((~v143(constB34)) | (~v144(constB34))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[35993, 35992])).
% 17.74/12.88 tff(35995,plain,
% 17.74/12.88 ((~(v142(constB34) <=> (~((~v143(constB34)) | (~v144(constB34)))))) | (~v142(constB34)) | (~((~v143(constB34)) | (~v144(constB34))))),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(35996,plain,
% 17.74/12.88 (~v142(constB34)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[35995, 35994, 35985])).
% 17.74/12.88 tff(35997,plain,
% 17.74/12.88 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34))))))),
% 17.74/12.88 inference(rewrite,[status(thm)],[])).
% 17.74/12.88 tff(35998,plain,
% 17.74/12.88 ((v138(constB34) <=> (~((~v139(constB34)) | (~v132(constB34))))) <=> (v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34)))))),
% 17.74/12.88 inference(rewrite,[status(thm)],[])).
% 17.74/12.88 tff(35999,plain,
% 17.74/12.88 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v139(constB34)) | (~v132(constB34)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34))))))),
% 17.74/12.88 inference(monotonicity,[status(thm)],[35998])).
% 17.74/12.88 tff(36000,plain,
% 17.74/12.88 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v139(constB34)) | (~v132(constB34)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34))))))),
% 17.74/12.88 inference(transitivity,[status(thm)],[35999, 35997])).
% 17.74/12.88 tff(36001,plain,
% 17.74/12.88 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v139(constB34)) | (~v132(constB34)))))),
% 17.74/12.88 inference(quant_inst,[status(thm)],[])).
% 17.74/12.88 tff(36002,plain,
% 17.74/12.88 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34)))))),
% 17.74/12.88 inference(modus_ponens,[status(thm)],[36001, 36000])).
% 17.74/12.88 tff(36003,plain,
% 17.74/12.88 (v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34))))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36002, 644])).
% 17.74/12.88 tff(36004,plain,
% 17.74/12.88 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB34) <=> v137(constB34))),
% 17.74/12.88 inference(quant_inst,[status(thm)],[])).
% 17.74/12.88 tff(36005,plain,
% 17.74/12.88 (v132(constB34) <=> v137(constB34)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36004, 558])).
% 17.74/12.88 tff(36006,plain,
% 17.74/12.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB33, constB34)) | (v137(constB34) <=> v135(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB33, constB34)) | (v137(constB34) <=> v135(constB33)))),
% 17.74/12.88 inference(rewrite,[status(thm)],[])).
% 17.74/12.88 tff(36007,plain,
% 17.74/12.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB33, constB34)) | (v137(constB34) <=> v135(constB33)))),
% 17.74/12.88 inference(quant_inst,[status(thm)],[])).
% 17.74/12.88 tff(36008,plain,
% 17.74/12.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB33, constB34)) | (v137(constB34) <=> v135(constB33))),
% 17.74/12.88 inference(modus_ponens,[status(thm)],[36007, 36006])).
% 17.74/12.88 tff(36009,plain,
% 17.74/12.88 (v137(constB34) <=> v135(constB33)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36008, 1166, 570])).
% 17.74/12.88 tff(36010,plain,
% 17.74/12.88 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB33) <=> (v138(constB33) | v142(constB33)))),
% 17.74/12.88 inference(quant_inst,[status(thm)],[])).
% 17.74/12.88 tff(36011,plain,
% 17.74/12.88 (v135(constB33) <=> (v138(constB33) | v142(constB33))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36010, 584])).
% 17.74/12.88 tff(36012,plain,
% 17.74/12.88 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33))))))),
% 17.74/12.88 inference(rewrite,[status(thm)],[])).
% 17.74/12.88 tff(36013,plain,
% 17.74/12.88 ((v138(constB33) <=> (~((~v139(constB33)) | (~v132(constB33))))) <=> (v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33)))))),
% 17.74/12.88 inference(rewrite,[status(thm)],[])).
% 17.74/12.88 tff(36014,plain,
% 17.74/12.88 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v139(constB33)) | (~v132(constB33)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33))))))),
% 17.74/12.88 inference(monotonicity,[status(thm)],[36013])).
% 17.74/12.88 tff(36015,plain,
% 17.74/12.88 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v139(constB33)) | (~v132(constB33)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33))))))),
% 17.74/12.88 inference(transitivity,[status(thm)],[36014, 36012])).
% 17.74/12.88 tff(36016,plain,
% 17.74/12.88 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v139(constB33)) | (~v132(constB33)))))),
% 17.74/12.88 inference(quant_inst,[status(thm)],[])).
% 17.74/12.88 tff(36017,plain,
% 17.74/12.88 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33)))))),
% 17.74/12.88 inference(modus_ponens,[status(thm)],[36016, 36015])).
% 17.74/12.88 tff(36018,plain,
% 17.74/12.88 (v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33))))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36017, 644])).
% 17.74/12.88 tff(36019,plain,
% 17.74/12.88 (((~v132(constB33)) | (~v139(constB33))) | v139(constB33)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36020,plain,
% 17.74/12.88 ((~v132(constB33)) | (~v139(constB33))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36019, 33780])).
% 17.74/12.88 tff(36021,plain,
% 17.74/12.88 ((~(v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33)))))) | (~v138(constB33)) | (~((~v132(constB33)) | (~v139(constB33))))),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36022,plain,
% 17.74/12.88 (~v138(constB33)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36021, 36020, 36018])).
% 17.74/12.88 tff(36023,plain,
% 17.74/12.88 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB33) <=> (~((~v143(constB33)) | (~v144(constB33)))))),
% 17.74/12.88 inference(quant_inst,[status(thm)],[])).
% 17.74/12.88 tff(36024,plain,
% 17.74/12.88 (v142(constB33) <=> (~((~v143(constB33)) | (~v144(constB33))))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36023, 596])).
% 17.74/12.88 tff(36025,plain,
% 17.74/12.88 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB33) <=> (~((~v141(constB33)) | (~v145(constB33)))))),
% 17.74/12.88 inference(quant_inst,[status(thm)],[])).
% 17.74/12.88 tff(36026,plain,
% 17.74/12.88 (v144(constB33) <=> (~((~v141(constB33)) | (~v145(constB33))))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36025, 608])).
% 17.74/12.88 tff(36027,plain,
% 17.74/12.88 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0)))))),
% 17.74/12.88 inference(quant_inst,[status(thm)],[])).
% 17.74/12.88 tff(36028,plain,
% 17.74/12.88 (v145(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36027, 755])).
% 17.74/12.88 tff(36029,plain,
% 17.74/12.88 ((v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))) | (~v84(constB33, 2))),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36030,plain,
% 17.74/12.88 (v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36029, 5004])).
% 17.74/12.88 tff(36031,plain,
% 17.74/12.88 ((~(v145(constB33) <=> (~(v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0)))))) | (~v145(constB33)) | (~(v84(constB33, 1) | v84(constB33, 2) | (~v84(constB33, 0))))),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36032,plain,
% 17.74/12.88 (~v145(constB33)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36031, 36030, 36028])).
% 17.74/12.88 tff(36033,plain,
% 17.74/12.88 (((~v141(constB33)) | (~v145(constB33))) | v145(constB33)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36034,plain,
% 17.74/12.88 ((~v141(constB33)) | (~v145(constB33))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36033, 36032])).
% 17.74/12.88 tff(36035,plain,
% 17.74/12.88 ((~(v144(constB33) <=> (~((~v141(constB33)) | (~v145(constB33)))))) | (~v144(constB33)) | (~((~v141(constB33)) | (~v145(constB33))))),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36036,plain,
% 17.74/12.88 (~v144(constB33)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36035, 36034, 36026])).
% 17.74/12.88 tff(36037,plain,
% 17.74/12.88 (((~v143(constB33)) | (~v144(constB33))) | v144(constB33)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36038,plain,
% 17.74/12.88 ((~v143(constB33)) | (~v144(constB33))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36037, 36036])).
% 17.74/12.88 tff(36039,plain,
% 17.74/12.88 ((~(v142(constB33) <=> (~((~v143(constB33)) | (~v144(constB33)))))) | (~v142(constB33)) | (~((~v143(constB33)) | (~v144(constB33))))),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36040,plain,
% 17.74/12.88 (~v142(constB33)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36039, 36038, 36024])).
% 17.74/12.88 tff(36041,plain,
% 17.74/12.88 ((~(v138(constB33) | v142(constB33))) | v138(constB33) | v142(constB33)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36042,plain,
% 17.74/12.88 (~(v138(constB33) | v142(constB33))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36041, 36040, 36022])).
% 17.74/12.88 tff(36043,plain,
% 17.74/12.88 ((~(v135(constB33) <=> (v138(constB33) | v142(constB33)))) | (~v135(constB33)) | (v138(constB33) | v142(constB33))),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36044,plain,
% 17.74/12.88 (~v135(constB33)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36043, 36042, 36011])).
% 17.74/12.88 tff(36045,plain,
% 17.74/12.88 ((~(v137(constB34) <=> v135(constB33))) | (~v137(constB34)) | v135(constB33)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36046,plain,
% 17.74/12.88 (~v137(constB34)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36045, 36044, 36009])).
% 17.74/12.88 tff(36047,plain,
% 17.74/12.88 ((~(v132(constB34) <=> v137(constB34))) | (~v132(constB34)) | v137(constB34)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36048,plain,
% 17.74/12.88 (~v132(constB34)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36047, 36046, 36005])).
% 17.74/12.88 tff(36049,plain,
% 17.74/12.88 (((~v132(constB34)) | (~v139(constB34))) | v132(constB34)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36050,plain,
% 17.74/12.88 ((~v132(constB34)) | (~v139(constB34))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36049, 36048])).
% 17.74/12.88 tff(36051,plain,
% 17.74/12.88 ((~(v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34)))))) | (~v138(constB34)) | (~((~v132(constB34)) | (~v139(constB34))))),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36052,plain,
% 17.74/12.88 (~v138(constB34)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36051, 36050, 36003])).
% 17.74/12.88 tff(36053,plain,
% 17.74/12.88 ((~(v138(constB34) | v142(constB34))) | v138(constB34) | v142(constB34)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36054,plain,
% 17.74/12.88 (~(v138(constB34) | v142(constB34))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36053, 36052, 35996])).
% 17.74/12.88 tff(36055,plain,
% 17.74/12.88 ((~(v135(constB34) <=> (v138(constB34) | v142(constB34)))) | (~v135(constB34)) | (v138(constB34) | v142(constB34))),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36056,plain,
% 17.74/12.88 (~v135(constB34)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36055, 36054, 35983])).
% 17.74/12.88 tff(36057,plain,
% 17.74/12.88 ((~(v137(constB35) <=> v135(constB34))) | (~v137(constB35)) | v135(constB34)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36058,plain,
% 17.74/12.88 (~v137(constB35)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36057, 36056, 35981])).
% 17.74/12.88 tff(36059,plain,
% 17.74/12.88 ((~(v132(constB35) <=> v137(constB35))) | (~v132(constB35)) | v137(constB35)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36060,plain,
% 17.74/12.88 (~v132(constB35)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36059, 36058, 35977])).
% 17.74/12.88 tff(36061,plain,
% 17.74/12.88 (((~v132(constB35)) | (~v155(constB35))) | v132(constB35)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36062,plain,
% 17.74/12.88 ((~v132(constB35)) | (~v155(constB35))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36061, 36060])).
% 17.74/12.88 tff(36063,plain,
% 17.74/12.88 ((~(v154(constB35) <=> (~((~v132(constB35)) | (~v155(constB35)))))) | (~v154(constB35)) | (~((~v132(constB35)) | (~v155(constB35))))),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36064,plain,
% 17.74/12.88 (~v154(constB35)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36063, 36062, 35975])).
% 17.74/12.88 tff(36065,plain,
% 17.74/12.88 ((~(v153(constB35) | v154(constB35))) | v153(constB35) | v154(constB35)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36066,plain,
% 17.74/12.88 (~(v153(constB35) | v154(constB35))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36065, 36064, 35968])).
% 17.74/12.88 tff(36067,plain,
% 17.74/12.88 ((~(v150(constB35) <=> (v153(constB35) | v154(constB35)))) | (~v150(constB35)) | (v153(constB35) | v154(constB35))),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36068,plain,
% 17.74/12.88 (~v150(constB35)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36067, 36066, 35957])).
% 17.74/12.88 tff(36069,plain,
% 17.74/12.88 ((~(v152(constB36) <=> v150(constB35))) | (~v152(constB36)) | v150(constB35)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36070,plain,
% 17.74/12.88 (~v152(constB36)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36069, 36068, 35955])).
% 17.74/12.88 tff(36071,plain,
% 17.74/12.88 ((~(v130(constB36) <=> v152(constB36))) | (~v130(constB36)) | v152(constB36)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36072,plain,
% 17.74/12.88 (~v130(constB36)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36071, 36070, 35951])).
% 17.74/12.88 tff(36073,plain,
% 17.74/12.88 (((~v130(constB36)) | (~v139(constB36))) | v130(constB36)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36074,plain,
% 17.74/12.88 ((~v130(constB36)) | (~v139(constB36))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36073, 36072])).
% 17.74/12.88 tff(36075,plain,
% 17.74/12.88 ((~(v153(constB36) <=> (~((~v130(constB36)) | (~v139(constB36)))))) | (~v153(constB36)) | (~((~v130(constB36)) | (~v139(constB36))))),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36076,plain,
% 17.74/12.88 (~v153(constB36)),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36075, 36074, 35949])).
% 17.74/12.88 tff(36077,plain,
% 17.74/12.88 ((~(v153(constB36) | v154(constB36))) | v153(constB36) | v154(constB36)),
% 17.74/12.88 inference(tautology,[status(thm)],[])).
% 17.74/12.88 tff(36078,plain,
% 17.74/12.88 (~(v153(constB36) | v154(constB36))),
% 17.74/12.88 inference(unit_resolution,[status(thm)],[36077, 36076, 35942])).
% 17.74/12.89 tff(36079,plain,
% 17.74/12.89 ((~(v150(constB36) <=> (v153(constB36) | v154(constB36)))) | (~v150(constB36)) | (v153(constB36) | v154(constB36))),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36080,plain,
% 17.74/12.89 (~v150(constB36)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36079, 36078, 35931])).
% 17.74/12.89 tff(36081,plain,
% 17.74/12.89 ((~(v152(constB37) <=> v150(constB36))) | (~v152(constB37)) | v150(constB36)),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36082,plain,
% 17.74/12.89 (~v152(constB37)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36081, 36080, 35929])).
% 17.74/12.89 tff(36083,plain,
% 17.74/12.89 ((~(v130(constB37) <=> v152(constB37))) | (~v130(constB37)) | v152(constB37)),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36084,plain,
% 17.74/12.89 (~v130(constB37)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36083, 36082, 35925])).
% 17.74/12.89 tff(36085,plain,
% 17.74/12.89 (((~v130(constB37)) | (~v155(constB37))) | v130(constB37)),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36086,plain,
% 17.74/12.89 ((~v130(constB37)) | (~v155(constB37))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36085, 36084])).
% 17.74/12.89 tff(36087,plain,
% 17.74/12.89 ((~(v164(constB37) <=> (~((~v130(constB37)) | (~v155(constB37)))))) | (~v164(constB37)) | (~((~v130(constB37)) | (~v155(constB37))))),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36088,plain,
% 17.74/12.89 (~v164(constB37)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36087, 36086, 35923])).
% 17.74/12.89 tff(36089,plain,
% 17.74/12.89 ((~(v163(constB37) | v164(constB37))) | v163(constB37) | v164(constB37)),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36090,plain,
% 17.74/12.89 (~(v163(constB37) | v164(constB37))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36089, 36088, 35916])).
% 17.74/12.89 tff(36091,plain,
% 17.74/12.89 ((~(v160(constB37) <=> (v163(constB37) | v164(constB37)))) | (~v160(constB37)) | (v163(constB37) | v164(constB37))),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36092,plain,
% 17.74/12.89 (~v160(constB37)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36091, 36090, 35843])).
% 17.74/12.89 tff(36093,plain,
% 17.74/12.89 ((~(v162(constB38) <=> v160(constB37))) | (~v162(constB38)) | v160(constB37)),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36094,plain,
% 17.74/12.89 (~v162(constB38)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36093, 36092, 35841])).
% 17.74/12.89 tff(36095,plain,
% 17.74/12.89 ((~(v128(constB38) <=> v162(constB38))) | (~v128(constB38)) | v162(constB38)),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36096,plain,
% 17.74/12.89 (~v128(constB38)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36095, 36094, 35837])).
% 17.74/12.89 tff(36097,plain,
% 17.74/12.89 (((~v128(constB38)) | (~v139(constB38))) | v128(constB38)),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36098,plain,
% 17.74/12.89 ((~v128(constB38)) | (~v139(constB38))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36097, 36096])).
% 17.74/12.89 tff(36099,plain,
% 17.74/12.89 ((~(v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38)))))) | (~v163(constB38)) | (~((~v128(constB38)) | (~v139(constB38))))),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36100,plain,
% 17.74/12.89 (~v163(constB38)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36099, 36098, 35835])).
% 17.74/12.89 tff(36101,plain,
% 17.74/12.89 ((~(v163(constB38) | v164(constB38))) | v163(constB38) | v164(constB38)),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36102,plain,
% 17.74/12.89 (~(v163(constB38) | v164(constB38))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36101, 36100, 35828])).
% 17.74/12.89 tff(36103,plain,
% 17.74/12.89 ((~(v160(constB38) <=> (v163(constB38) | v164(constB38)))) | (~v160(constB38)) | (v163(constB38) | v164(constB38))),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36104,plain,
% 17.74/12.89 (~v160(constB38)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36103, 36102, 35793])).
% 17.74/12.89 tff(36105,plain,
% 17.74/12.89 ((~(v162(constB39) <=> v160(constB38))) | (~v162(constB39)) | v160(constB38)),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36106,plain,
% 17.74/12.89 (~v162(constB39)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36105, 36104, 35791])).
% 17.74/12.89 tff(36107,plain,
% 17.74/12.89 ($false),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36106, 35787])).
% 17.74/12.89 tff(36108,plain,(~(constB39 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.74/12.89 tff(36109,assumption,(constB139 = VarCurr!0), introduced(assumption)).
% 17.74/12.89 tff(36110,plain,
% 17.74/12.89 (v162(constB139) <=> v162(VarCurr!0)),
% 17.74/12.89 inference(monotonicity,[status(thm)],[36109])).
% 17.74/12.89 tff(36111,plain,
% 17.74/12.89 (v162(VarCurr!0) <=> v162(constB139)),
% 17.74/12.89 inference(symmetry,[status(thm)],[36110])).
% 17.74/12.89 tff(36112,plain,
% 17.74/12.89 (v162(constB139)),
% 17.74/12.89 inference(modus_ponens,[status(thm)],[59, 36111])).
% 17.74/12.89 tff(36113,plain,
% 17.74/12.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB138, constB139)) | (v162(constB139) <=> v160(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB138, constB139)) | (v162(constB139) <=> v160(constB138)))),
% 17.74/12.89 inference(rewrite,[status(thm)],[])).
% 17.74/12.89 tff(36114,plain,
% 17.74/12.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB138, constB139)) | (v162(constB139) <=> v160(constB138)))),
% 17.74/12.89 inference(quant_inst,[status(thm)],[])).
% 17.74/12.89 tff(36115,plain,
% 17.74/12.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB138, constB139)) | (v162(constB139) <=> v160(constB138))),
% 17.74/12.89 inference(modus_ponens,[status(thm)],[36114, 36113])).
% 17.74/12.89 tff(36116,plain,
% 17.74/12.89 (v162(constB139) <=> v160(constB138)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36115, 15385, 70])).
% 17.74/12.89 tff(36117,plain,
% 17.74/12.89 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB138) <=> (v163(constB138) | v164(constB138)))),
% 17.74/12.89 inference(quant_inst,[status(thm)],[])).
% 17.74/12.89 tff(36118,plain,
% 17.74/12.89 (v160(constB138) <=> (v163(constB138) | v164(constB138))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36117, 84])).
% 17.74/12.89 tff(36119,plain,
% 17.74/12.89 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v130(constB138)) | (~v155(constB138)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v130(constB138)) | (~v155(constB138))))))),
% 17.74/12.89 inference(rewrite,[status(thm)],[])).
% 17.74/12.89 tff(36120,plain,
% 17.74/12.89 ((v164(constB138) <=> (~((~v155(constB138)) | (~v130(constB138))))) <=> (v164(constB138) <=> (~((~v130(constB138)) | (~v155(constB138)))))),
% 17.74/12.89 inference(rewrite,[status(thm)],[])).
% 17.74/12.89 tff(36121,plain,
% 17.74/12.89 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v155(constB138)) | (~v130(constB138)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v130(constB138)) | (~v155(constB138))))))),
% 17.74/12.89 inference(monotonicity,[status(thm)],[36120])).
% 17.74/12.89 tff(36122,plain,
% 17.74/12.89 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v155(constB138)) | (~v130(constB138)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v130(constB138)) | (~v155(constB138))))))),
% 17.74/12.89 inference(transitivity,[status(thm)],[36121, 36119])).
% 17.74/12.89 tff(36123,plain,
% 17.74/12.89 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v155(constB138)) | (~v130(constB138)))))),
% 17.74/12.89 inference(quant_inst,[status(thm)],[])).
% 17.74/12.89 tff(36124,plain,
% 17.74/12.89 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v130(constB138)) | (~v155(constB138)))))),
% 17.74/12.89 inference(modus_ponens,[status(thm)],[36123, 36122])).
% 17.74/12.89 tff(36125,plain,
% 17.74/12.89 (v164(constB138) <=> (~((~v130(constB138)) | (~v155(constB138))))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36124, 96])).
% 17.74/12.89 tff(36126,plain,
% 17.74/12.89 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB138) <=> (~((~v141(constB138)) | (~v143(constB138)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB138) <=> (~((~v141(constB138)) | (~v143(constB138))))))),
% 17.74/12.89 inference(rewrite,[status(thm)],[])).
% 17.74/12.89 tff(36127,plain,
% 17.74/12.89 ((v155(constB138) <=> (~((~v143(constB138)) | (~v141(constB138))))) <=> (v155(constB138) <=> (~((~v141(constB138)) | (~v143(constB138)))))),
% 17.74/12.89 inference(rewrite,[status(thm)],[])).
% 17.74/12.89 tff(36128,plain,
% 17.74/12.89 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB138) <=> (~((~v143(constB138)) | (~v141(constB138)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB138) <=> (~((~v141(constB138)) | (~v143(constB138))))))),
% 17.74/12.89 inference(monotonicity,[status(thm)],[36127])).
% 17.74/12.89 tff(36129,plain,
% 17.74/12.89 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB138) <=> (~((~v143(constB138)) | (~v141(constB138)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB138) <=> (~((~v141(constB138)) | (~v143(constB138))))))),
% 17.74/12.89 inference(transitivity,[status(thm)],[36128, 36126])).
% 17.74/12.89 tff(36130,plain,
% 17.74/12.89 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB138) <=> (~((~v143(constB138)) | (~v141(constB138)))))),
% 17.74/12.89 inference(quant_inst,[status(thm)],[])).
% 17.74/12.89 tff(36131,plain,
% 17.74/12.89 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB138) <=> (~((~v141(constB138)) | (~v143(constB138)))))),
% 17.74/12.89 inference(modus_ponens,[status(thm)],[36130, 36129])).
% 17.74/12.89 tff(36132,plain,
% 17.74/12.89 (v155(constB138) <=> (~((~v141(constB138)) | (~v143(constB138))))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36131, 113])).
% 17.74/12.89 tff(36133,plain,
% 17.74/12.89 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))),
% 17.74/12.89 inference(quant_inst,[status(thm)],[])).
% 17.74/12.89 tff(36134,plain,
% 17.74/12.89 (v141(constB138) <=> (~((~v39(constB138)) | (~v9(constB138))))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36133, 130])).
% 17.74/12.89 tff(36135,plain,
% 17.74/12.89 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB138)) <=> v1(constB138))),
% 17.74/12.89 inference(quant_inst,[status(thm)],[])).
% 17.74/12.89 tff(36136,plain,
% 17.74/12.89 ((~v39(constB138)) <=> v1(constB138)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36135, 139])).
% 17.74/12.89 tff(36137,plain,
% 17.74/12.89 ((~((~v39(constB138)) <=> v1(constB138))) | (~v39(constB138)) | (~v1(constB138))),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36138,plain,
% 17.74/12.89 ((~((~v39(constB138)) <=> v1(constB138))) | (~v39(constB138))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36137, 19483])).
% 17.74/12.89 tff(36139,plain,
% 17.74/12.89 (~v39(constB138)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36138, 36136])).
% 17.74/12.89 tff(36140,plain,
% 17.74/12.89 (((~v39(constB138)) | (~v9(constB138))) | v39(constB138)),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36141,plain,
% 17.74/12.89 ((~v39(constB138)) | (~v9(constB138))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36140, 36139])).
% 17.74/12.89 tff(36142,plain,
% 17.74/12.89 ((~(v141(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))) | (~v141(constB138)) | (~((~v39(constB138)) | (~v9(constB138))))),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36143,plain,
% 17.74/12.89 ((~(v141(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))) | (~v141(constB138))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36142, 36141])).
% 17.74/12.89 tff(36144,plain,
% 17.74/12.89 (~v141(constB138)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36143, 36134])).
% 17.74/12.89 tff(36145,plain,
% 17.74/12.89 (((~v141(constB138)) | (~v143(constB138))) | v141(constB138)),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36146,plain,
% 17.74/12.89 ((~v141(constB138)) | (~v143(constB138))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36145, 36144])).
% 17.74/12.89 tff(36147,plain,
% 17.74/12.89 ((~(v155(constB138) <=> (~((~v141(constB138)) | (~v143(constB138)))))) | (~v155(constB138)) | (~((~v141(constB138)) | (~v143(constB138))))),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36148,plain,
% 17.74/12.89 ((~(v155(constB138) <=> (~((~v141(constB138)) | (~v143(constB138)))))) | (~v155(constB138))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36147, 36146])).
% 17.74/12.89 tff(36149,plain,
% 17.74/12.89 (~v155(constB138)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36148, 36132])).
% 17.74/12.89 tff(36150,plain,
% 17.74/12.89 (((~v130(constB138)) | (~v155(constB138))) | v155(constB138)),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36151,plain,
% 17.74/12.89 ((~v130(constB138)) | (~v155(constB138))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36150, 36149])).
% 17.74/12.89 tff(36152,plain,
% 17.74/12.89 ((~(v164(constB138) <=> (~((~v130(constB138)) | (~v155(constB138)))))) | (~v164(constB138)) | (~((~v130(constB138)) | (~v155(constB138))))),
% 17.74/12.89 inference(tautology,[status(thm)],[])).
% 17.74/12.89 tff(36153,plain,
% 17.74/12.89 (~v164(constB138)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36152, 36151, 36125])).
% 17.74/12.89 tff(36154,plain,
% 17.74/12.89 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v128(constB138)) | (~v139(constB138)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v128(constB138)) | (~v139(constB138))))))),
% 17.74/12.89 inference(rewrite,[status(thm)],[])).
% 17.74/12.89 tff(36155,plain,
% 17.74/12.89 ((v163(constB138) <=> (~((~v139(constB138)) | (~v128(constB138))))) <=> (v163(constB138) <=> (~((~v128(constB138)) | (~v139(constB138)))))),
% 17.74/12.89 inference(rewrite,[status(thm)],[])).
% 17.74/12.89 tff(36156,plain,
% 17.74/12.89 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v139(constB138)) | (~v128(constB138)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v128(constB138)) | (~v139(constB138))))))),
% 17.74/12.89 inference(monotonicity,[status(thm)],[36155])).
% 17.74/12.89 tff(36157,plain,
% 17.74/12.89 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v139(constB138)) | (~v128(constB138)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v128(constB138)) | (~v139(constB138))))))),
% 17.74/12.89 inference(transitivity,[status(thm)],[36156, 36154])).
% 17.74/12.89 tff(36158,plain,
% 17.74/12.89 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v139(constB138)) | (~v128(constB138)))))),
% 17.74/12.89 inference(quant_inst,[status(thm)],[])).
% 17.74/12.89 tff(36159,plain,
% 17.74/12.89 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v128(constB138)) | (~v139(constB138)))))),
% 17.74/12.89 inference(modus_ponens,[status(thm)],[36158, 36157])).
% 17.74/12.89 tff(36160,plain,
% 17.74/12.89 (v163(constB138) <=> (~((~v128(constB138)) | (~v139(constB138))))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36159, 171])).
% 17.74/12.89 tff(36161,plain,
% 17.74/12.89 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB138) <=> v162(constB138))),
% 17.74/12.89 inference(quant_inst,[status(thm)],[])).
% 17.74/12.89 tff(36162,plain,
% 17.74/12.89 (v128(constB138) <=> v162(constB138)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36161, 13])).
% 17.74/12.89 tff(36163,plain,
% 17.74/12.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB137, constB138)) | (v162(constB138) <=> v160(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB137, constB138)) | (v162(constB138) <=> v160(constB137)))),
% 17.74/12.89 inference(rewrite,[status(thm)],[])).
% 17.74/12.89 tff(36164,plain,
% 17.74/12.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB137, constB138)) | (v162(constB138) <=> v160(constB137)))),
% 17.74/12.89 inference(quant_inst,[status(thm)],[])).
% 17.74/12.89 tff(36165,plain,
% 17.74/12.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB137, constB138)) | (v162(constB138) <=> v160(constB137))),
% 17.74/12.89 inference(modus_ponens,[status(thm)],[36164, 36163])).
% 17.74/12.89 tff(36166,plain,
% 17.74/12.89 (v162(constB138) <=> v160(constB137)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36165, 15421, 70])).
% 17.74/12.89 tff(36167,plain,
% 17.74/12.89 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB137) <=> (v163(constB137) | v164(constB137)))),
% 17.74/12.89 inference(quant_inst,[status(thm)],[])).
% 17.74/12.89 tff(36168,plain,
% 17.74/12.89 (v160(constB137) <=> (v163(constB137) | v164(constB137))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36167, 84])).
% 17.74/12.89 tff(36169,plain,
% 17.74/12.89 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v128(constB137)) | (~v139(constB137)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v128(constB137)) | (~v139(constB137))))))),
% 17.74/12.89 inference(rewrite,[status(thm)],[])).
% 17.74/12.89 tff(36170,plain,
% 17.74/12.89 ((v163(constB137) <=> (~((~v139(constB137)) | (~v128(constB137))))) <=> (v163(constB137) <=> (~((~v128(constB137)) | (~v139(constB137)))))),
% 17.74/12.89 inference(rewrite,[status(thm)],[])).
% 17.74/12.89 tff(36171,plain,
% 17.74/12.89 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v139(constB137)) | (~v128(constB137)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v128(constB137)) | (~v139(constB137))))))),
% 17.74/12.89 inference(monotonicity,[status(thm)],[36170])).
% 17.74/12.89 tff(36172,plain,
% 17.74/12.89 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v139(constB137)) | (~v128(constB137)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v128(constB137)) | (~v139(constB137))))))),
% 17.74/12.89 inference(transitivity,[status(thm)],[36171, 36169])).
% 17.74/12.89 tff(36173,plain,
% 17.74/12.89 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v139(constB137)) | (~v128(constB137)))))),
% 17.74/12.89 inference(quant_inst,[status(thm)],[])).
% 17.74/12.89 tff(36174,plain,
% 17.74/12.89 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v128(constB137)) | (~v139(constB137)))))),
% 17.74/12.89 inference(modus_ponens,[status(thm)],[36173, 36172])).
% 17.74/12.89 tff(36175,plain,
% 17.74/12.89 (v163(constB137) <=> (~((~v128(constB137)) | (~v139(constB137))))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36174, 171])).
% 17.74/12.89 tff(36176,plain,
% 17.74/12.89 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB137)) <=> v140(constB137))),
% 17.74/12.89 inference(quant_inst,[status(thm)],[])).
% 17.74/12.89 tff(36177,plain,
% 17.74/12.89 ((~v139(constB137)) <=> v140(constB137)),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36176, 203])).
% 17.74/12.89 tff(36178,plain,
% 17.74/12.89 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB137) <=> (v141(constB137) | v26(constB137)))),
% 17.74/12.89 inference(quant_inst,[status(thm)],[])).
% 17.74/12.89 tff(36179,plain,
% 17.74/12.89 (v140(constB137) <=> (v141(constB137) | v26(constB137))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36178, 212])).
% 17.74/12.89 tff(36180,plain,
% 17.74/12.89 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB137) <=> (~((~v39(constB137)) | (~v9(constB137)))))),
% 17.74/12.89 inference(quant_inst,[status(thm)],[])).
% 17.74/12.89 tff(36181,plain,
% 17.74/12.89 (v141(constB137) <=> (~((~v39(constB137)) | (~v9(constB137))))),
% 17.74/12.89 inference(unit_resolution,[status(thm)],[36180, 130])).
% 17.74/12.89 tff(36182,plain,
% 17.74/12.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137)))),
% 17.74/12.89 inference(rewrite,[status(thm)],[])).
% 17.74/12.89 tff(36183,plain,
% 17.74/12.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137)))),
% 17.74/12.90 inference(quant_inst,[status(thm)],[])).
% 17.74/12.90 tff(36184,plain,
% 17.74/12.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137))),
% 17.74/12.90 inference(modus_ponens,[status(thm)],[36183, 36182])).
% 17.74/12.90 tff(36185,plain,
% 17.74/12.90 (v13(constB138) <=> v9(constB137)),
% 17.74/12.90 inference(unit_resolution,[status(thm)],[36184, 15421, 226])).
% 17.74/12.90 tff(36186,plain,
% 17.74/12.90 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB138) <=> v13(constB138))),
% 17.74/12.90 inference(quant_inst,[status(thm)],[])).
% 17.74/12.90 tff(36187,plain,
% 17.74/12.90 (v6(constB138) <=> v13(constB138)),
% 17.74/12.90 inference(unit_resolution,[status(thm)],[36186, 240])).
% 17.74/12.90 tff(36188,plain,
% 17.74/12.90 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB138)) <=> v6(constB138))),
% 17.74/12.90 inference(quant_inst,[status(thm)],[])).
% 17.74/12.90 tff(36189,plain,
% 17.74/12.90 ((~v21(constB138)) <=> v6(constB138)),
% 17.74/12.90 inference(unit_resolution,[status(thm)],[36188, 249])).
% 17.74/12.90 tff(36190,plain,
% 17.74/12.90 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB138) <=> (v20(constB138) | v21(constB138)))),
% 17.74/12.90 inference(quant_inst,[status(thm)],[])).
% 17.74/12.90 tff(36191,plain,
% 17.74/12.90 (v19(constB138) <=> (v20(constB138) | v21(constB138))),
% 17.74/12.90 inference(unit_resolution,[status(thm)],[36190, 258])).
% 17.74/12.90 tff(36192,plain,
% 17.74/12.90 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB138) <=> (~((~v19(constB138)) | (~v22(constB138)))))),
% 17.74/12.90 inference(quant_inst,[status(thm)],[])).
% 17.74/12.90 tff(36193,plain,
% 17.74/12.90 (v18(constB138) <=> (~((~v19(constB138)) | (~v22(constB138))))),
% 17.74/12.90 inference(unit_resolution,[status(thm)],[36192, 270])).
% 17.74/12.90 tff(36194,plain,
% 17.74/12.90 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB138)) <=> v18(constB138))),
% 17.74/12.90 inference(quant_inst,[status(thm)],[])).
% 17.74/12.90 tff(36195,plain,
% 17.74/12.90 ((~v4(constB138)) <=> v18(constB138)),
% 17.74/12.90 inference(unit_resolution,[status(thm)],[36194, 279])).
% 17.74/12.90 tff(36196,plain,
% 17.74/12.90 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB138)),
% 17.74/12.90 inference(quant_inst,[status(thm)],[])).
% 17.74/12.90 tff(36197,plain,
% 17.74/12.90 (v4(constB138)),
% 17.74/12.90 inference(unit_resolution,[status(thm)],[36196, 288])).
% 17.74/12.90 tff(36198,plain,
% 17.74/12.90 ((~((~v4(constB138)) <=> v18(constB138))) | (~v4(constB138)) | (~v18(constB138))),
% 17.74/12.90 inference(tautology,[status(thm)],[])).
% 17.74/12.90 tff(36199,plain,
% 17.74/12.90 (~v18(constB138)),
% 17.74/12.90 inference(unit_resolution,[status(thm)],[36198, 36197, 36195])).
% 17.74/12.90 tff(36200,plain,
% 17.74/12.90 ((~(v18(constB138) <=> (~((~v19(constB138)) | (~v22(constB138)))))) | v18(constB138) | ((~v19(constB138)) | (~v22(constB138)))),
% 17.74/12.90 inference(tautology,[status(thm)],[])).
% 17.74/12.90 tff(36201,plain,
% 17.74/12.90 ((~v19(constB138)) | (~v22(constB138))),
% 17.74/12.90 inference(unit_resolution,[status(thm)],[36200, 36199, 36193])).
% 17.74/12.90 tff(36202,plain,
% 17.74/12.90 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB138) <=> (v1(constB138) | v6(constB138)))),
% 17.74/12.90 inference(quant_inst,[status(thm)],[])).
% 17.74/12.90 tff(36203,plain,
% 17.74/12.90 (v22(constB138) <=> (v1(constB138) | v6(constB138))),
% 17.74/12.90 inference(unit_resolution,[status(thm)],[36202, 301])).
% 17.74/12.90 tff(36204,plain,
% 17.74/12.90 ((v1(constB138) | v6(constB138)) | (~v1(constB138))),
% 17.74/12.90 inference(tautology,[status(thm)],[])).
% 17.74/12.90 tff(36205,plain,
% 17.74/12.90 (v1(constB138) | v6(constB138)),
% 17.74/12.90 inference(unit_resolution,[status(thm)],[36204, 19483])).
% 17.74/12.90 tff(36206,plain,
% 17.74/12.90 ((~(v22(constB138) <=> (v1(constB138) | v6(constB138)))) | v22(constB138) | (~(v1(constB138) | v6(constB138)))),
% 17.74/12.90 inference(tautology,[status(thm)],[])).
% 17.74/12.90 tff(36207,plain,
% 17.74/12.90 ((~(v22(constB138) <=> (v1(constB138) | v6(constB138)))) | v22(constB138)),
% 17.74/12.90 inference(unit_resolution,[status(thm)],[36206, 36205])).
% 17.74/12.90 tff(36208,plain,
% 17.74/12.90 (v22(constB138)),
% 17.74/12.90 inference(unit_resolution,[status(thm)],[36207, 36203])).
% 17.74/12.90 tff(36209,plain,
% 17.74/12.90 ((~((~v19(constB138)) | (~v22(constB138)))) | (~v19(constB138)) | (~v22(constB138))),
% 17.74/12.90 inference(tautology,[status(thm)],[])).
% 17.74/12.90 tff(36210,plain,
% 17.74/12.90 ((~((~v19(constB138)) | (~v22(constB138)))) | (~v19(constB138))),
% 17.74/12.90 inference(unit_resolution,[status(thm)],[36209, 36208])).
% 17.76/12.90 tff(36211,plain,
% 17.76/12.90 (~v19(constB138)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36210, 36201])).
% 17.76/12.90 tff(36212,plain,
% 17.76/12.90 ((~(v19(constB138) <=> (v20(constB138) | v21(constB138)))) | v19(constB138) | (~(v20(constB138) | v21(constB138)))),
% 17.76/12.90 inference(tautology,[status(thm)],[])).
% 17.76/12.90 tff(36213,plain,
% 17.76/12.90 (~(v20(constB138) | v21(constB138))),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36212, 36211, 36191])).
% 17.76/12.90 tff(36214,plain,
% 17.76/12.90 ((v20(constB138) | v21(constB138)) | (~v21(constB138))),
% 17.76/12.90 inference(tautology,[status(thm)],[])).
% 17.76/12.90 tff(36215,plain,
% 17.76/12.90 (~v21(constB138)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36214, 36213])).
% 17.76/12.90 tff(36216,plain,
% 17.76/12.90 ((~((~v21(constB138)) <=> v6(constB138))) | v21(constB138) | v6(constB138)),
% 17.76/12.90 inference(tautology,[status(thm)],[])).
% 17.76/12.90 tff(36217,plain,
% 17.76/12.90 (v6(constB138)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36216, 36215, 36189])).
% 17.76/12.90 tff(36218,plain,
% 17.76/12.90 ((~(v6(constB138) <=> v13(constB138))) | (~v6(constB138)) | v13(constB138)),
% 17.76/12.90 inference(tautology,[status(thm)],[])).
% 17.76/12.90 tff(36219,plain,
% 17.76/12.90 (v13(constB138)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36218, 36217, 36187])).
% 17.76/12.90 tff(36220,plain,
% 17.76/12.90 ((~(v13(constB138) <=> v9(constB137))) | (~v13(constB138)) | v9(constB137)),
% 17.76/12.90 inference(tautology,[status(thm)],[])).
% 17.76/12.90 tff(36221,plain,
% 17.76/12.90 (v9(constB137)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36220, 36219, 36185])).
% 17.76/12.90 tff(36222,plain,
% 17.76/12.90 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB137)) <=> v1(constB137))),
% 17.76/12.90 inference(quant_inst,[status(thm)],[])).
% 17.76/12.90 tff(36223,plain,
% 17.76/12.90 ((~v39(constB137)) <=> v1(constB137)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36222, 139])).
% 17.76/12.90 tff(36224,plain,
% 17.76/12.90 ((~((~v39(constB137)) <=> v1(constB137))) | v39(constB137) | v1(constB137)),
% 17.76/12.90 inference(tautology,[status(thm)],[])).
% 17.76/12.90 tff(36225,plain,
% 17.76/12.90 ((~((~v39(constB137)) <=> v1(constB137))) | v39(constB137)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36224, 15460])).
% 17.76/12.90 tff(36226,plain,
% 17.76/12.90 (v39(constB137)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36225, 36223])).
% 17.76/12.90 tff(36227,plain,
% 17.76/12.90 ((~((~v39(constB137)) | (~v9(constB137)))) | (~v39(constB137)) | (~v9(constB137))),
% 17.76/12.90 inference(tautology,[status(thm)],[])).
% 17.76/12.90 tff(36228,plain,
% 17.76/12.90 ((~((~v39(constB137)) | (~v9(constB137)))) | (~v9(constB137))),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36227, 36226])).
% 17.76/12.90 tff(36229,plain,
% 17.76/12.90 (~((~v39(constB137)) | (~v9(constB137)))),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36228, 36221])).
% 17.76/12.90 tff(36230,plain,
% 17.76/12.90 ((~(v141(constB137) <=> (~((~v39(constB137)) | (~v9(constB137)))))) | v141(constB137) | ((~v39(constB137)) | (~v9(constB137)))),
% 17.76/12.90 inference(tautology,[status(thm)],[])).
% 17.76/12.90 tff(36231,plain,
% 17.76/12.90 (v141(constB137)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36230, 36229, 36181])).
% 17.76/12.90 tff(36232,plain,
% 17.76/12.90 ((v141(constB137) | v26(constB137)) | (~v141(constB137))),
% 17.76/12.90 inference(tautology,[status(thm)],[])).
% 17.76/12.90 tff(36233,plain,
% 17.76/12.90 (v141(constB137) | v26(constB137)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36232, 36231])).
% 17.76/12.90 tff(36234,plain,
% 17.76/12.90 ((~(v140(constB137) <=> (v141(constB137) | v26(constB137)))) | v140(constB137) | (~(v141(constB137) | v26(constB137)))),
% 17.76/12.90 inference(tautology,[status(thm)],[])).
% 17.76/12.90 tff(36235,plain,
% 17.76/12.90 (v140(constB137)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36234, 36233, 36179])).
% 17.76/12.90 tff(36236,plain,
% 17.76/12.90 ((~((~v139(constB137)) <=> v140(constB137))) | (~v139(constB137)) | (~v140(constB137))),
% 17.76/12.90 inference(tautology,[status(thm)],[])).
% 17.76/12.90 tff(36237,plain,
% 17.76/12.90 (~v139(constB137)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36236, 36235, 36177])).
% 17.76/12.90 tff(36238,plain,
% 17.76/12.90 (((~v128(constB137)) | (~v139(constB137))) | v139(constB137)),
% 17.76/12.90 inference(tautology,[status(thm)],[])).
% 17.76/12.90 tff(36239,plain,
% 17.76/12.90 ((~v128(constB137)) | (~v139(constB137))),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36238, 36237])).
% 17.76/12.90 tff(36240,plain,
% 17.76/12.90 ((~(v163(constB137) <=> (~((~v128(constB137)) | (~v139(constB137)))))) | (~v163(constB137)) | (~((~v128(constB137)) | (~v139(constB137))))),
% 17.76/12.90 inference(tautology,[status(thm)],[])).
% 17.76/12.90 tff(36241,plain,
% 17.76/12.90 (~v163(constB137)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36240, 36239, 36175])).
% 17.76/12.90 tff(36242,plain,
% 17.76/12.90 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB137) <=> (~((~v130(constB137)) | (~v155(constB137)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB137) <=> (~((~v130(constB137)) | (~v155(constB137))))))),
% 17.76/12.90 inference(rewrite,[status(thm)],[])).
% 17.76/12.90 tff(36243,plain,
% 17.76/12.90 ((v164(constB137) <=> (~((~v155(constB137)) | (~v130(constB137))))) <=> (v164(constB137) <=> (~((~v130(constB137)) | (~v155(constB137)))))),
% 17.76/12.90 inference(rewrite,[status(thm)],[])).
% 17.76/12.90 tff(36244,plain,
% 17.76/12.90 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB137) <=> (~((~v155(constB137)) | (~v130(constB137)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB137) <=> (~((~v130(constB137)) | (~v155(constB137))))))),
% 17.76/12.90 inference(monotonicity,[status(thm)],[36243])).
% 17.76/12.90 tff(36245,plain,
% 17.76/12.90 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB137) <=> (~((~v155(constB137)) | (~v130(constB137)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB137) <=> (~((~v130(constB137)) | (~v155(constB137))))))),
% 17.76/12.90 inference(transitivity,[status(thm)],[36244, 36242])).
% 17.76/12.90 tff(36246,plain,
% 17.76/12.90 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB137) <=> (~((~v155(constB137)) | (~v130(constB137)))))),
% 17.76/12.90 inference(quant_inst,[status(thm)],[])).
% 17.76/12.90 tff(36247,plain,
% 17.76/12.90 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB137) <=> (~((~v130(constB137)) | (~v155(constB137)))))),
% 17.76/12.90 inference(modus_ponens,[status(thm)],[36246, 36245])).
% 17.76/12.90 tff(36248,plain,
% 17.76/12.90 (v164(constB137) <=> (~((~v130(constB137)) | (~v155(constB137))))),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36247, 96])).
% 17.76/12.90 tff(36249,plain,
% 17.76/12.90 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB137) <=> v152(constB137))),
% 17.76/12.90 inference(quant_inst,[status(thm)],[])).
% 17.76/12.90 tff(36250,plain,
% 17.76/12.90 (v130(constB137) <=> v152(constB137)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36249, 361])).
% 17.76/12.90 tff(36251,plain,
% 17.76/12.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB136, constB137)) | (v152(constB137) <=> v150(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB136, constB137)) | (v152(constB137) <=> v150(constB136)))),
% 17.76/12.90 inference(rewrite,[status(thm)],[])).
% 17.76/12.90 tff(36252,plain,
% 17.76/12.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB136, constB137)) | (v152(constB137) <=> v150(constB136)))),
% 17.76/12.90 inference(quant_inst,[status(thm)],[])).
% 17.76/12.90 tff(36253,plain,
% 17.76/12.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB136, constB137)) | (v152(constB137) <=> v150(constB136))),
% 17.76/12.90 inference(modus_ponens,[status(thm)],[36252, 36251])).
% 17.76/12.90 tff(36254,plain,
% 17.76/12.90 (v152(constB137) <=> v150(constB136)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36253, 15446, 373])).
% 17.76/12.90 tff(36255,plain,
% 17.76/12.90 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB136) <=> (v153(constB136) | v154(constB136)))),
% 17.76/12.90 inference(quant_inst,[status(thm)],[])).
% 17.76/12.90 tff(36256,plain,
% 17.76/12.90 (v150(constB136) <=> (v153(constB136) | v154(constB136))),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36255, 387])).
% 17.76/12.90 tff(36257,plain,
% 17.76/12.90 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB136) <=> (~((~v132(constB136)) | (~v155(constB136)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB136) <=> (~((~v132(constB136)) | (~v155(constB136))))))),
% 17.76/12.90 inference(rewrite,[status(thm)],[])).
% 17.76/12.90 tff(36258,plain,
% 17.76/12.90 ((v154(constB136) <=> (~((~v155(constB136)) | (~v132(constB136))))) <=> (v154(constB136) <=> (~((~v132(constB136)) | (~v155(constB136)))))),
% 17.76/12.90 inference(rewrite,[status(thm)],[])).
% 17.76/12.90 tff(36259,plain,
% 17.76/12.90 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB136) <=> (~((~v155(constB136)) | (~v132(constB136)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB136) <=> (~((~v132(constB136)) | (~v155(constB136))))))),
% 17.76/12.90 inference(monotonicity,[status(thm)],[36258])).
% 17.76/12.90 tff(36260,plain,
% 17.76/12.90 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB136) <=> (~((~v155(constB136)) | (~v132(constB136)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB136) <=> (~((~v132(constB136)) | (~v155(constB136))))))),
% 17.76/12.90 inference(transitivity,[status(thm)],[36259, 36257])).
% 17.76/12.90 tff(36261,plain,
% 17.76/12.90 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB136) <=> (~((~v155(constB136)) | (~v132(constB136)))))),
% 17.76/12.90 inference(quant_inst,[status(thm)],[])).
% 17.76/12.90 tff(36262,plain,
% 17.76/12.90 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB136) <=> (~((~v132(constB136)) | (~v155(constB136)))))),
% 17.76/12.90 inference(modus_ponens,[status(thm)],[36261, 36260])).
% 17.76/12.90 tff(36263,plain,
% 17.76/12.90 (v154(constB136) <=> (~((~v132(constB136)) | (~v155(constB136))))),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36262, 399])).
% 17.76/12.90 tff(36264,plain,
% 17.76/12.90 (((~v132(constB136)) | (~v155(constB136))) | v155(constB136)),
% 17.76/12.90 inference(tautology,[status(thm)],[])).
% 17.76/12.90 tff(36265,plain,
% 17.76/12.90 ((~v132(constB136)) | (~v155(constB136))),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36264, 35014])).
% 17.76/12.90 tff(36266,plain,
% 17.76/12.90 ((~(v154(constB136) <=> (~((~v132(constB136)) | (~v155(constB136)))))) | (~v154(constB136)) | (~((~v132(constB136)) | (~v155(constB136))))),
% 17.76/12.90 inference(tautology,[status(thm)],[])).
% 17.76/12.90 tff(36267,plain,
% 17.76/12.90 (~v154(constB136)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36266, 36265, 36263])).
% 17.76/12.90 tff(36268,plain,
% 17.76/12.90 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB136) <=> (~((~v130(constB136)) | (~v139(constB136)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB136) <=> (~((~v130(constB136)) | (~v139(constB136))))))),
% 17.76/12.90 inference(rewrite,[status(thm)],[])).
% 17.76/12.90 tff(36269,plain,
% 17.76/12.90 ((v153(constB136) <=> (~((~v139(constB136)) | (~v130(constB136))))) <=> (v153(constB136) <=> (~((~v130(constB136)) | (~v139(constB136)))))),
% 17.76/12.90 inference(rewrite,[status(thm)],[])).
% 17.76/12.90 tff(36270,plain,
% 17.76/12.90 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB136) <=> (~((~v139(constB136)) | (~v130(constB136)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB136) <=> (~((~v130(constB136)) | (~v139(constB136))))))),
% 17.76/12.90 inference(monotonicity,[status(thm)],[36269])).
% 17.76/12.90 tff(36271,plain,
% 17.76/12.90 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB136) <=> (~((~v139(constB136)) | (~v130(constB136)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB136) <=> (~((~v130(constB136)) | (~v139(constB136))))))),
% 17.76/12.90 inference(transitivity,[status(thm)],[36270, 36268])).
% 17.76/12.90 tff(36272,plain,
% 17.76/12.90 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB136) <=> (~((~v139(constB136)) | (~v130(constB136)))))),
% 17.76/12.90 inference(quant_inst,[status(thm)],[])).
% 17.76/12.90 tff(36273,plain,
% 17.76/12.90 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB136) <=> (~((~v130(constB136)) | (~v139(constB136)))))),
% 17.76/12.90 inference(modus_ponens,[status(thm)],[36272, 36271])).
% 17.76/12.90 tff(36274,plain,
% 17.76/12.90 (v153(constB136) <=> (~((~v130(constB136)) | (~v139(constB136))))),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36273, 447])).
% 17.76/12.90 tff(36275,plain,
% 17.76/12.90 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB136) <=> v152(constB136))),
% 17.76/12.90 inference(quant_inst,[status(thm)],[])).
% 17.76/12.90 tff(36276,plain,
% 17.76/12.90 (v130(constB136) <=> v152(constB136)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36275, 361])).
% 17.76/12.90 tff(36277,plain,
% 17.76/12.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB135, constB136)) | (v152(constB136) <=> v150(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB135, constB136)) | (v152(constB136) <=> v150(constB135)))),
% 17.76/12.90 inference(rewrite,[status(thm)],[])).
% 17.76/12.90 tff(36278,plain,
% 17.76/12.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB135, constB136)) | (v152(constB136) <=> v150(constB135)))),
% 17.76/12.90 inference(quant_inst,[status(thm)],[])).
% 17.76/12.90 tff(36279,plain,
% 17.76/12.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB135, constB136)) | (v152(constB136) <=> v150(constB135))),
% 17.76/12.90 inference(modus_ponens,[status(thm)],[36278, 36277])).
% 17.76/12.90 tff(36280,plain,
% 17.76/12.90 (v152(constB136) <=> v150(constB135)),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36279, 15482, 373])).
% 17.76/12.90 tff(36281,plain,
% 17.76/12.90 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB135) <=> (v153(constB135) | v154(constB135)))),
% 17.76/12.90 inference(quant_inst,[status(thm)],[])).
% 17.76/12.90 tff(36282,plain,
% 17.76/12.90 (v150(constB135) <=> (v153(constB135) | v154(constB135))),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36281, 387])).
% 17.76/12.90 tff(36283,plain,
% 17.76/12.90 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB135) <=> (~((~v130(constB135)) | (~v139(constB135)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB135) <=> (~((~v130(constB135)) | (~v139(constB135))))))),
% 17.76/12.90 inference(rewrite,[status(thm)],[])).
% 17.76/12.90 tff(36284,plain,
% 17.76/12.90 ((v153(constB135) <=> (~((~v139(constB135)) | (~v130(constB135))))) <=> (v153(constB135) <=> (~((~v130(constB135)) | (~v139(constB135)))))),
% 17.76/12.90 inference(rewrite,[status(thm)],[])).
% 17.76/12.90 tff(36285,plain,
% 17.76/12.90 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB135) <=> (~((~v139(constB135)) | (~v130(constB135)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB135) <=> (~((~v130(constB135)) | (~v139(constB135))))))),
% 17.76/12.90 inference(monotonicity,[status(thm)],[36284])).
% 17.76/12.90 tff(36286,plain,
% 17.76/12.90 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB135) <=> (~((~v139(constB135)) | (~v130(constB135)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB135) <=> (~((~v130(constB135)) | (~v139(constB135))))))),
% 17.76/12.90 inference(transitivity,[status(thm)],[36285, 36283])).
% 17.76/12.90 tff(36287,plain,
% 17.76/12.90 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB135) <=> (~((~v139(constB135)) | (~v130(constB135)))))),
% 17.76/12.90 inference(quant_inst,[status(thm)],[])).
% 17.76/12.90 tff(36288,plain,
% 17.76/12.90 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB135) <=> (~((~v130(constB135)) | (~v139(constB135)))))),
% 17.76/12.90 inference(modus_ponens,[status(thm)],[36287, 36286])).
% 17.76/12.90 tff(36289,plain,
% 17.76/12.90 (v153(constB135) <=> (~((~v130(constB135)) | (~v139(constB135))))),
% 17.76/12.90 inference(unit_resolution,[status(thm)],[36288, 447])).
% 17.76/12.91 tff(36290,plain,
% 17.76/12.91 (((~v130(constB135)) | (~v139(constB135))) | v139(constB135)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36291,plain,
% 17.76/12.91 ((~v130(constB135)) | (~v139(constB135))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36290, 35102])).
% 17.76/12.91 tff(36292,plain,
% 17.76/12.91 ((~(v153(constB135) <=> (~((~v130(constB135)) | (~v139(constB135)))))) | (~v153(constB135)) | (~((~v130(constB135)) | (~v139(constB135))))),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36293,plain,
% 17.76/12.91 (~v153(constB135)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36292, 36291, 36289])).
% 17.76/12.91 tff(36294,plain,
% 17.76/12.91 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB135) <=> (~((~v132(constB135)) | (~v155(constB135)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB135) <=> (~((~v132(constB135)) | (~v155(constB135))))))),
% 17.76/12.91 inference(rewrite,[status(thm)],[])).
% 17.76/12.91 tff(36295,plain,
% 17.76/12.91 ((v154(constB135) <=> (~((~v155(constB135)) | (~v132(constB135))))) <=> (v154(constB135) <=> (~((~v132(constB135)) | (~v155(constB135)))))),
% 17.76/12.91 inference(rewrite,[status(thm)],[])).
% 17.76/12.91 tff(36296,plain,
% 17.76/12.91 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB135) <=> (~((~v155(constB135)) | (~v132(constB135)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB135) <=> (~((~v132(constB135)) | (~v155(constB135))))))),
% 17.76/12.91 inference(monotonicity,[status(thm)],[36295])).
% 17.76/12.91 tff(36297,plain,
% 17.76/12.91 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB135) <=> (~((~v155(constB135)) | (~v132(constB135)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB135) <=> (~((~v132(constB135)) | (~v155(constB135))))))),
% 17.76/12.91 inference(transitivity,[status(thm)],[36296, 36294])).
% 17.76/12.91 tff(36298,plain,
% 17.76/12.91 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB135) <=> (~((~v155(constB135)) | (~v132(constB135)))))),
% 17.76/12.91 inference(quant_inst,[status(thm)],[])).
% 17.76/12.91 tff(36299,plain,
% 17.76/12.91 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB135) <=> (~((~v132(constB135)) | (~v155(constB135)))))),
% 17.76/12.91 inference(modus_ponens,[status(thm)],[36298, 36297])).
% 17.76/12.91 tff(36300,plain,
% 17.76/12.91 (v154(constB135) <=> (~((~v132(constB135)) | (~v155(constB135))))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36299, 399])).
% 17.76/12.91 tff(36301,plain,
% 17.76/12.91 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB135) <=> v137(constB135))),
% 17.76/12.91 inference(quant_inst,[status(thm)],[])).
% 17.76/12.91 tff(36302,plain,
% 17.76/12.91 (v132(constB135) <=> v137(constB135)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36301, 558])).
% 17.76/12.91 tff(36303,plain,
% 17.76/12.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB134, constB135)) | (v137(constB135) <=> v135(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB134, constB135)) | (v137(constB135) <=> v135(constB134)))),
% 17.76/12.91 inference(rewrite,[status(thm)],[])).
% 17.76/12.91 tff(36304,plain,
% 17.76/12.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB134, constB135)) | (v137(constB135) <=> v135(constB134)))),
% 17.76/12.91 inference(quant_inst,[status(thm)],[])).
% 17.76/12.91 tff(36305,plain,
% 17.76/12.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB134, constB135)) | (v137(constB135) <=> v135(constB134))),
% 17.76/12.91 inference(modus_ponens,[status(thm)],[36304, 36303])).
% 17.76/12.91 tff(36306,plain,
% 17.76/12.91 (v137(constB135) <=> v135(constB134)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36305, 15507, 570])).
% 17.76/12.91 tff(36307,plain,
% 17.76/12.91 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB134) <=> (v138(constB134) | v142(constB134)))),
% 17.76/12.91 inference(quant_inst,[status(thm)],[])).
% 17.76/12.91 tff(36308,plain,
% 17.76/12.91 (v135(constB134) <=> (v138(constB134) | v142(constB134))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36307, 584])).
% 17.76/12.91 tff(36309,plain,
% 17.76/12.91 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB134) <=> (~((~v143(constB134)) | (~v144(constB134)))))),
% 17.76/12.91 inference(quant_inst,[status(thm)],[])).
% 17.76/12.91 tff(36310,plain,
% 17.76/12.91 (v142(constB134) <=> (~((~v143(constB134)) | (~v144(constB134))))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36309, 596])).
% 17.76/12.91 tff(36311,plain,
% 17.76/12.91 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB134) <=> (~((~v141(constB134)) | (~v145(constB134)))))),
% 17.76/12.91 inference(quant_inst,[status(thm)],[])).
% 17.76/12.91 tff(36312,plain,
% 17.76/12.91 (v144(constB134) <=> (~((~v141(constB134)) | (~v145(constB134))))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36311, 608])).
% 17.76/12.91 tff(36313,plain,
% 17.76/12.91 (((~v141(constB134)) | (~v145(constB134))) | v141(constB134)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36314,plain,
% 17.76/12.91 ((~v141(constB134)) | (~v145(constB134))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36313, 35147])).
% 17.76/12.91 tff(36315,plain,
% 17.76/12.91 ((~(v144(constB134) <=> (~((~v141(constB134)) | (~v145(constB134)))))) | (~v144(constB134)) | (~((~v141(constB134)) | (~v145(constB134))))),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36316,plain,
% 17.76/12.91 ((~(v144(constB134) <=> (~((~v141(constB134)) | (~v145(constB134)))))) | (~v144(constB134))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36315, 36314])).
% 17.76/12.91 tff(36317,plain,
% 17.76/12.91 (~v144(constB134)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36316, 36312])).
% 17.76/12.91 tff(36318,plain,
% 17.76/12.91 (((~v143(constB134)) | (~v144(constB134))) | v144(constB134)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36319,plain,
% 17.76/12.91 ((~v143(constB134)) | (~v144(constB134))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36318, 36317])).
% 17.76/12.91 tff(36320,plain,
% 17.76/12.91 ((~(v142(constB134) <=> (~((~v143(constB134)) | (~v144(constB134)))))) | (~v142(constB134)) | (~((~v143(constB134)) | (~v144(constB134))))),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36321,plain,
% 17.76/12.91 (~v142(constB134)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36320, 36319, 36310])).
% 17.76/12.91 tff(36322,plain,
% 17.76/12.91 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB134) <=> (~((~v132(constB134)) | (~v139(constB134)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB134) <=> (~((~v132(constB134)) | (~v139(constB134))))))),
% 17.76/12.91 inference(rewrite,[status(thm)],[])).
% 17.76/12.91 tff(36323,plain,
% 17.76/12.91 ((v138(constB134) <=> (~((~v139(constB134)) | (~v132(constB134))))) <=> (v138(constB134) <=> (~((~v132(constB134)) | (~v139(constB134)))))),
% 17.76/12.91 inference(rewrite,[status(thm)],[])).
% 17.76/12.91 tff(36324,plain,
% 17.76/12.91 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB134) <=> (~((~v139(constB134)) | (~v132(constB134)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB134) <=> (~((~v132(constB134)) | (~v139(constB134))))))),
% 17.76/12.91 inference(monotonicity,[status(thm)],[36323])).
% 17.76/12.91 tff(36325,plain,
% 17.76/12.91 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB134) <=> (~((~v139(constB134)) | (~v132(constB134)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB134) <=> (~((~v132(constB134)) | (~v139(constB134))))))),
% 17.76/12.91 inference(transitivity,[status(thm)],[36324, 36322])).
% 17.76/12.91 tff(36326,plain,
% 17.76/12.91 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB134) <=> (~((~v139(constB134)) | (~v132(constB134)))))),
% 17.76/12.91 inference(quant_inst,[status(thm)],[])).
% 17.76/12.91 tff(36327,plain,
% 17.76/12.91 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB134) <=> (~((~v132(constB134)) | (~v139(constB134)))))),
% 17.76/12.91 inference(modus_ponens,[status(thm)],[36326, 36325])).
% 17.76/12.91 tff(36328,plain,
% 17.76/12.91 (v138(constB134) <=> (~((~v132(constB134)) | (~v139(constB134))))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36327, 644])).
% 17.76/12.91 tff(36329,plain,
% 17.76/12.91 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB134) <=> v137(constB134))),
% 17.76/12.91 inference(quant_inst,[status(thm)],[])).
% 17.76/12.91 tff(36330,plain,
% 17.76/12.91 (v132(constB134) <=> v137(constB134)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36329, 558])).
% 17.76/12.91 tff(36331,plain,
% 17.76/12.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB133, constB134)) | (v137(constB134) <=> v135(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB133, constB134)) | (v137(constB134) <=> v135(constB133)))),
% 17.76/12.91 inference(rewrite,[status(thm)],[])).
% 17.76/12.91 tff(36332,plain,
% 17.76/12.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB133, constB134)) | (v137(constB134) <=> v135(constB133)))),
% 17.76/12.91 inference(quant_inst,[status(thm)],[])).
% 17.76/12.91 tff(36333,plain,
% 17.76/12.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB133, constB134)) | (v137(constB134) <=> v135(constB133))),
% 17.76/12.91 inference(modus_ponens,[status(thm)],[36332, 36331])).
% 17.76/12.91 tff(36334,plain,
% 17.76/12.91 (v137(constB134) <=> v135(constB133)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36333, 15543, 570])).
% 17.76/12.91 tff(36335,plain,
% 17.76/12.91 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB133) <=> (v138(constB133) | v142(constB133)))),
% 17.76/12.91 inference(quant_inst,[status(thm)],[])).
% 17.76/12.91 tff(36336,plain,
% 17.76/12.91 (v135(constB133) <=> (v138(constB133) | v142(constB133))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36335, 584])).
% 17.76/12.91 tff(36337,plain,
% 17.76/12.91 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB133) <=> (~((~v132(constB133)) | (~v139(constB133)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB133) <=> (~((~v132(constB133)) | (~v139(constB133))))))),
% 17.76/12.91 inference(rewrite,[status(thm)],[])).
% 17.76/12.91 tff(36338,plain,
% 17.76/12.91 ((v138(constB133) <=> (~((~v139(constB133)) | (~v132(constB133))))) <=> (v138(constB133) <=> (~((~v132(constB133)) | (~v139(constB133)))))),
% 17.76/12.91 inference(rewrite,[status(thm)],[])).
% 17.76/12.91 tff(36339,plain,
% 17.76/12.91 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB133) <=> (~((~v139(constB133)) | (~v132(constB133)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB133) <=> (~((~v132(constB133)) | (~v139(constB133))))))),
% 17.76/12.91 inference(monotonicity,[status(thm)],[36338])).
% 17.76/12.91 tff(36340,plain,
% 17.76/12.91 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB133) <=> (~((~v139(constB133)) | (~v132(constB133)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB133) <=> (~((~v132(constB133)) | (~v139(constB133))))))),
% 17.76/12.91 inference(transitivity,[status(thm)],[36339, 36337])).
% 17.76/12.91 tff(36341,plain,
% 17.76/12.91 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB133) <=> (~((~v139(constB133)) | (~v132(constB133)))))),
% 17.76/12.91 inference(quant_inst,[status(thm)],[])).
% 17.76/12.91 tff(36342,plain,
% 17.76/12.91 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB133) <=> (~((~v132(constB133)) | (~v139(constB133)))))),
% 17.76/12.91 inference(modus_ponens,[status(thm)],[36341, 36340])).
% 17.76/12.91 tff(36343,plain,
% 17.76/12.91 (v138(constB133) <=> (~((~v132(constB133)) | (~v139(constB133))))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36342, 644])).
% 17.76/12.91 tff(36344,plain,
% 17.76/12.91 (((~v132(constB133)) | (~v139(constB133))) | v139(constB133)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36345,plain,
% 17.76/12.91 ((~v132(constB133)) | (~v139(constB133))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36344, 35240])).
% 17.76/12.91 tff(36346,plain,
% 17.76/12.91 ((~(v138(constB133) <=> (~((~v132(constB133)) | (~v139(constB133)))))) | (~v138(constB133)) | (~((~v132(constB133)) | (~v139(constB133))))),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36347,plain,
% 17.76/12.91 (~v138(constB133)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36346, 36345, 36343])).
% 17.76/12.91 tff(36348,plain,
% 17.76/12.91 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB133) <=> (~((~v143(constB133)) | (~v144(constB133)))))),
% 17.76/12.91 inference(quant_inst,[status(thm)],[])).
% 17.76/12.91 tff(36349,plain,
% 17.76/12.91 (v142(constB133) <=> (~((~v143(constB133)) | (~v144(constB133))))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36348, 596])).
% 17.76/12.91 tff(36350,plain,
% 17.76/12.91 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB133) <=> (~((~v141(constB133)) | (~v145(constB133)))))),
% 17.76/12.91 inference(quant_inst,[status(thm)],[])).
% 17.76/12.91 tff(36351,plain,
% 17.76/12.91 (v144(constB133) <=> (~((~v141(constB133)) | (~v145(constB133))))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36350, 608])).
% 17.76/12.91 tff(36352,plain,
% 17.76/12.91 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB133) <=> (~(v84(constB133, 1) | v84(constB133, 2) | (~v84(constB133, 0)))))),
% 17.76/12.91 inference(quant_inst,[status(thm)],[])).
% 17.76/12.91 tff(36353,plain,
% 17.76/12.91 (v145(constB133) <=> (~(v84(constB133, 1) | v84(constB133, 2) | (~v84(constB133, 0))))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36352, 755])).
% 17.76/12.91 tff(36354,plain,
% 17.76/12.91 ((v84(constB133, 1) | v84(constB133, 2) | (~v84(constB133, 0))) | (~v84(constB133, 2))),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36355,plain,
% 17.76/12.91 (v84(constB133, 1) | v84(constB133, 2) | (~v84(constB133, 0))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36354, 19074])).
% 17.76/12.91 tff(36356,plain,
% 17.76/12.91 ((~(v145(constB133) <=> (~(v84(constB133, 1) | v84(constB133, 2) | (~v84(constB133, 0)))))) | (~v145(constB133)) | (~(v84(constB133, 1) | v84(constB133, 2) | (~v84(constB133, 0))))),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36357,plain,
% 17.76/12.91 (~v145(constB133)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36356, 36355, 36353])).
% 17.76/12.91 tff(36358,plain,
% 17.76/12.91 (((~v141(constB133)) | (~v145(constB133))) | v145(constB133)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36359,plain,
% 17.76/12.91 ((~v141(constB133)) | (~v145(constB133))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36358, 36357])).
% 17.76/12.91 tff(36360,plain,
% 17.76/12.91 ((~(v144(constB133) <=> (~((~v141(constB133)) | (~v145(constB133)))))) | (~v144(constB133)) | (~((~v141(constB133)) | (~v145(constB133))))),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36361,plain,
% 17.76/12.91 (~v144(constB133)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36360, 36359, 36351])).
% 17.76/12.91 tff(36362,plain,
% 17.76/12.91 (((~v143(constB133)) | (~v144(constB133))) | v144(constB133)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36363,plain,
% 17.76/12.91 ((~v143(constB133)) | (~v144(constB133))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36362, 36361])).
% 17.76/12.91 tff(36364,plain,
% 17.76/12.91 ((~(v142(constB133) <=> (~((~v143(constB133)) | (~v144(constB133)))))) | (~v142(constB133)) | (~((~v143(constB133)) | (~v144(constB133))))),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36365,plain,
% 17.76/12.91 (~v142(constB133)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36364, 36363, 36349])).
% 17.76/12.91 tff(36366,plain,
% 17.76/12.91 ((~(v138(constB133) | v142(constB133))) | v138(constB133) | v142(constB133)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36367,plain,
% 17.76/12.91 (~(v138(constB133) | v142(constB133))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36366, 36365, 36347])).
% 17.76/12.91 tff(36368,plain,
% 17.76/12.91 ((~(v135(constB133) <=> (v138(constB133) | v142(constB133)))) | (~v135(constB133)) | (v138(constB133) | v142(constB133))),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36369,plain,
% 17.76/12.91 (~v135(constB133)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36368, 36367, 36336])).
% 17.76/12.91 tff(36370,plain,
% 17.76/12.91 ((~(v137(constB134) <=> v135(constB133))) | (~v137(constB134)) | v135(constB133)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36371,plain,
% 17.76/12.91 (~v137(constB134)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36370, 36369, 36334])).
% 17.76/12.91 tff(36372,plain,
% 17.76/12.91 ((~(v132(constB134) <=> v137(constB134))) | (~v132(constB134)) | v137(constB134)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36373,plain,
% 17.76/12.91 (~v132(constB134)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36372, 36371, 36330])).
% 17.76/12.91 tff(36374,plain,
% 17.76/12.91 (((~v132(constB134)) | (~v139(constB134))) | v132(constB134)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36375,plain,
% 17.76/12.91 ((~v132(constB134)) | (~v139(constB134))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36374, 36373])).
% 17.76/12.91 tff(36376,plain,
% 17.76/12.91 ((~(v138(constB134) <=> (~((~v132(constB134)) | (~v139(constB134)))))) | (~v138(constB134)) | (~((~v132(constB134)) | (~v139(constB134))))),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36377,plain,
% 17.76/12.91 (~v138(constB134)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36376, 36375, 36328])).
% 17.76/12.91 tff(36378,plain,
% 17.76/12.91 ((~(v138(constB134) | v142(constB134))) | v138(constB134) | v142(constB134)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36379,plain,
% 17.76/12.91 (~(v138(constB134) | v142(constB134))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36378, 36377, 36321])).
% 17.76/12.91 tff(36380,plain,
% 17.76/12.91 ((~(v135(constB134) <=> (v138(constB134) | v142(constB134)))) | (~v135(constB134)) | (v138(constB134) | v142(constB134))),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36381,plain,
% 17.76/12.91 (~v135(constB134)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36380, 36379, 36308])).
% 17.76/12.91 tff(36382,plain,
% 17.76/12.91 ((~(v137(constB135) <=> v135(constB134))) | (~v137(constB135)) | v135(constB134)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36383,plain,
% 17.76/12.91 (~v137(constB135)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36382, 36381, 36306])).
% 17.76/12.91 tff(36384,plain,
% 17.76/12.91 ((~(v132(constB135) <=> v137(constB135))) | (~v132(constB135)) | v137(constB135)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36385,plain,
% 17.76/12.91 (~v132(constB135)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36384, 36383, 36302])).
% 17.76/12.91 tff(36386,plain,
% 17.76/12.91 (((~v132(constB135)) | (~v155(constB135))) | v132(constB135)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36387,plain,
% 17.76/12.91 ((~v132(constB135)) | (~v155(constB135))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36386, 36385])).
% 17.76/12.91 tff(36388,plain,
% 17.76/12.91 ((~(v154(constB135) <=> (~((~v132(constB135)) | (~v155(constB135)))))) | (~v154(constB135)) | (~((~v132(constB135)) | (~v155(constB135))))),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36389,plain,
% 17.76/12.91 (~v154(constB135)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36388, 36387, 36300])).
% 17.76/12.91 tff(36390,plain,
% 17.76/12.91 ((~(v153(constB135) | v154(constB135))) | v153(constB135) | v154(constB135)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36391,plain,
% 17.76/12.91 (~(v153(constB135) | v154(constB135))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36390, 36389, 36293])).
% 17.76/12.91 tff(36392,plain,
% 17.76/12.91 ((~(v150(constB135) <=> (v153(constB135) | v154(constB135)))) | (~v150(constB135)) | (v153(constB135) | v154(constB135))),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36393,plain,
% 17.76/12.91 (~v150(constB135)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36392, 36391, 36282])).
% 17.76/12.91 tff(36394,plain,
% 17.76/12.91 ((~(v152(constB136) <=> v150(constB135))) | (~v152(constB136)) | v150(constB135)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36395,plain,
% 17.76/12.91 (~v152(constB136)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36394, 36393, 36280])).
% 17.76/12.91 tff(36396,plain,
% 17.76/12.91 ((~(v130(constB136) <=> v152(constB136))) | (~v130(constB136)) | v152(constB136)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36397,plain,
% 17.76/12.91 (~v130(constB136)),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36396, 36395, 36276])).
% 17.76/12.91 tff(36398,plain,
% 17.76/12.91 (((~v130(constB136)) | (~v139(constB136))) | v130(constB136)),
% 17.76/12.91 inference(tautology,[status(thm)],[])).
% 17.76/12.91 tff(36399,plain,
% 17.76/12.91 ((~v130(constB136)) | (~v139(constB136))),
% 17.76/12.91 inference(unit_resolution,[status(thm)],[36398, 36397])).
% 17.76/12.91 tff(36400,plain,
% 17.76/12.92 ((~(v153(constB136) <=> (~((~v130(constB136)) | (~v139(constB136)))))) | (~v153(constB136)) | (~((~v130(constB136)) | (~v139(constB136))))),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36401,plain,
% 17.76/12.92 (~v153(constB136)),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36400, 36399, 36274])).
% 17.76/12.92 tff(36402,plain,
% 17.76/12.92 ((~(v153(constB136) | v154(constB136))) | v153(constB136) | v154(constB136)),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36403,plain,
% 17.76/12.92 (~(v153(constB136) | v154(constB136))),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36402, 36401, 36267])).
% 17.76/12.92 tff(36404,plain,
% 17.76/12.92 ((~(v150(constB136) <=> (v153(constB136) | v154(constB136)))) | (~v150(constB136)) | (v153(constB136) | v154(constB136))),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36405,plain,
% 17.76/12.92 (~v150(constB136)),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36404, 36403, 36256])).
% 17.76/12.92 tff(36406,plain,
% 17.76/12.92 ((~(v152(constB137) <=> v150(constB136))) | (~v152(constB137)) | v150(constB136)),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36407,plain,
% 17.76/12.92 (~v152(constB137)),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36406, 36405, 36254])).
% 17.76/12.92 tff(36408,plain,
% 17.76/12.92 ((~(v130(constB137) <=> v152(constB137))) | (~v130(constB137)) | v152(constB137)),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36409,plain,
% 17.76/12.92 (~v130(constB137)),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36408, 36407, 36250])).
% 17.76/12.92 tff(36410,plain,
% 17.76/12.92 (((~v130(constB137)) | (~v155(constB137))) | v130(constB137)),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36411,plain,
% 17.76/12.92 ((~v130(constB137)) | (~v155(constB137))),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36410, 36409])).
% 17.76/12.92 tff(36412,plain,
% 17.76/12.92 ((~(v164(constB137) <=> (~((~v130(constB137)) | (~v155(constB137)))))) | (~v164(constB137)) | (~((~v130(constB137)) | (~v155(constB137))))),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36413,plain,
% 17.76/12.92 (~v164(constB137)),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36412, 36411, 36248])).
% 17.76/12.92 tff(36414,plain,
% 17.76/12.92 ((~(v163(constB137) | v164(constB137))) | v163(constB137) | v164(constB137)),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36415,plain,
% 17.76/12.92 (~(v163(constB137) | v164(constB137))),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36414, 36413, 36241])).
% 17.76/12.92 tff(36416,plain,
% 17.76/12.92 ((~(v160(constB137) <=> (v163(constB137) | v164(constB137)))) | (~v160(constB137)) | (v163(constB137) | v164(constB137))),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36417,plain,
% 17.76/12.92 (~v160(constB137)),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36416, 36415, 36168])).
% 17.76/12.92 tff(36418,plain,
% 17.76/12.92 ((~(v162(constB138) <=> v160(constB137))) | (~v162(constB138)) | v160(constB137)),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36419,plain,
% 17.76/12.92 (~v162(constB138)),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36418, 36417, 36166])).
% 17.76/12.92 tff(36420,plain,
% 17.76/12.92 ((~(v128(constB138) <=> v162(constB138))) | (~v128(constB138)) | v162(constB138)),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36421,plain,
% 17.76/12.92 (~v128(constB138)),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36420, 36419, 36162])).
% 17.76/12.92 tff(36422,plain,
% 17.76/12.92 (((~v128(constB138)) | (~v139(constB138))) | v128(constB138)),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36423,plain,
% 17.76/12.92 ((~v128(constB138)) | (~v139(constB138))),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36422, 36421])).
% 17.76/12.92 tff(36424,plain,
% 17.76/12.92 ((~(v163(constB138) <=> (~((~v128(constB138)) | (~v139(constB138)))))) | (~v163(constB138)) | (~((~v128(constB138)) | (~v139(constB138))))),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36425,plain,
% 17.76/12.92 (~v163(constB138)),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36424, 36423, 36160])).
% 17.76/12.92 tff(36426,plain,
% 17.76/12.92 ((~(v163(constB138) | v164(constB138))) | v163(constB138) | v164(constB138)),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36427,plain,
% 17.76/12.92 (~(v163(constB138) | v164(constB138))),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36426, 36425, 36153])).
% 17.76/12.92 tff(36428,plain,
% 17.76/12.92 ((~(v160(constB138) <=> (v163(constB138) | v164(constB138)))) | (~v160(constB138)) | (v163(constB138) | v164(constB138))),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36429,plain,
% 17.76/12.92 (~v160(constB138)),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36428, 36427, 36118])).
% 17.76/12.92 tff(36430,plain,
% 17.76/12.92 ((~(v162(constB139) <=> v160(constB138))) | (~v162(constB139)) | v160(constB138)),
% 17.76/12.92 inference(tautology,[status(thm)],[])).
% 17.76/12.92 tff(36431,plain,
% 17.76/12.92 (~v162(constB139)),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36430, 36429, 36116])).
% 17.76/12.92 tff(36432,plain,
% 17.76/12.92 ($false),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36431, 36112])).
% 17.76/12.92 tff(36433,plain,(~(constB139 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.76/12.92 tff(36434,assumption,(constB117 = VarCurr!0), introduced(assumption)).
% 17.76/12.92 tff(36435,plain,
% 17.76/12.92 (v162(constB117) <=> v162(VarCurr!0)),
% 17.76/12.92 inference(monotonicity,[status(thm)],[36434])).
% 17.76/12.92 tff(36436,plain,
% 17.76/12.92 (v162(VarCurr!0) <=> v162(constB117)),
% 17.76/12.92 inference(symmetry,[status(thm)],[36435])).
% 17.76/12.92 tff(36437,plain,
% 17.76/12.92 (v162(constB117)),
% 17.76/12.92 inference(modus_ponens,[status(thm)],[59, 36436])).
% 17.76/12.92 tff(36438,plain,
% 17.76/12.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB116, constB117)) | (v162(constB117) <=> v160(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB116, constB117)) | (v162(constB117) <=> v160(constB116)))),
% 17.76/12.92 inference(rewrite,[status(thm)],[])).
% 17.76/12.92 tff(36439,plain,
% 17.76/12.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB116, constB117)) | (v162(constB117) <=> v160(constB116)))),
% 17.76/12.92 inference(quant_inst,[status(thm)],[])).
% 17.76/12.92 tff(36440,plain,
% 17.76/12.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB116, constB117)) | (v162(constB117) <=> v160(constB116))),
% 17.76/12.92 inference(modus_ponens,[status(thm)],[36439, 36438])).
% 17.76/12.92 tff(36441,plain,
% 17.76/12.92 (v162(constB117) <=> v160(constB116)),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36440, 16076, 70])).
% 17.76/12.92 tff(36442,plain,
% 17.76/12.92 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB116) <=> (v163(constB116) | v164(constB116)))),
% 17.76/12.92 inference(quant_inst,[status(thm)],[])).
% 17.76/12.92 tff(36443,plain,
% 17.76/12.92 (v160(constB116) <=> (v163(constB116) | v164(constB116))),
% 17.76/12.92 inference(unit_resolution,[status(thm)],[36442, 84])).
% 17.76/12.92 tff(36444,plain,
% 17.76/12.92 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB116) <=> (~((~v130(constB116)) | (~v155(constB116)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB116) <=> (~((~v130(constB116)) | (~v155(constB116))))))),
% 17.76/12.92 inference(rewrite,[status(thm)],[])).
% 17.76/12.92 tff(36445,plain,
% 17.76/12.92 ((v164(constB116) <=> (~((~v155(constB116)) | (~v130(constB116))))) <=> (v164(constB116) <=> (~((~v130(constB116)) | (~v155(constB116)))))),
% 17.76/12.92 inference(rewrite,[status(thm)],[])).
% 17.76/12.92 tff(36446,plain,
% 17.76/12.92 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB116) <=> (~((~v155(constB116)) | (~v130(constB116)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB116) <=> (~((~v130(constB116)) | (~v155(constB116))))))),
% 17.76/12.92 inference(monotonicity,[status(thm)],[36445])).
% 17.76/12.92 tff(36447,plain,
% 17.76/12.92 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB116) <=> (~((~v155(constB116)) | (~v130(constB116)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB116) <=> (~((~v130(constB116)) | (~v155(constB116))))))),
% 17.76/12.92 inference(transitivity,[status(thm)],[36446, 36444])).
% 17.76/12.92 tff(36448,plain,
% 17.76/12.92 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB116) <=> (~((~v155(constB116)) | (~v130(constB116)))))),
% 17.76/12.92 inference(quant_inst,[status(thm)],[])).
% 17.76/12.92 tff(36449,plain,
% 17.76/12.92 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB116) <=> (~((~v130(constB116)) | (~v155(constB116)))))),
% 17.79/12.92 inference(modus_ponens,[status(thm)],[36448, 36447])).
% 17.79/12.92 tff(36450,plain,
% 17.79/12.92 (v164(constB116) <=> (~((~v130(constB116)) | (~v155(constB116))))),
% 17.79/12.92 inference(unit_resolution,[status(thm)],[36449, 96])).
% 17.79/12.92 tff(36451,plain,
% 17.79/12.92 (((~v130(constB116)) | (~v155(constB116))) | v155(constB116)),
% 17.79/12.92 inference(tautology,[status(thm)],[])).
% 17.79/12.92 tff(36452,plain,
% 17.79/12.92 ((~v130(constB116)) | (~v155(constB116))),
% 17.79/12.92 inference(unit_resolution,[status(thm)],[36451, 27564])).
% 17.79/12.92 tff(36453,plain,
% 17.79/12.92 ((~(v164(constB116) <=> (~((~v130(constB116)) | (~v155(constB116)))))) | (~v164(constB116)) | (~((~v130(constB116)) | (~v155(constB116))))),
% 17.79/12.92 inference(tautology,[status(thm)],[])).
% 17.79/12.92 tff(36454,plain,
% 17.79/12.92 (~v164(constB116)),
% 17.79/12.92 inference(unit_resolution,[status(thm)],[36453, 36452, 36450])).
% 17.79/12.92 tff(36455,plain,
% 17.79/12.92 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB116) <=> (~((~v128(constB116)) | (~v139(constB116)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB116) <=> (~((~v128(constB116)) | (~v139(constB116))))))),
% 17.79/12.92 inference(rewrite,[status(thm)],[])).
% 17.79/12.92 tff(36456,plain,
% 17.79/12.92 ((v163(constB116) <=> (~((~v139(constB116)) | (~v128(constB116))))) <=> (v163(constB116) <=> (~((~v128(constB116)) | (~v139(constB116)))))),
% 17.79/12.92 inference(rewrite,[status(thm)],[])).
% 17.79/12.92 tff(36457,plain,
% 17.79/12.92 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB116) <=> (~((~v139(constB116)) | (~v128(constB116)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB116) <=> (~((~v128(constB116)) | (~v139(constB116))))))),
% 17.79/12.92 inference(monotonicity,[status(thm)],[36456])).
% 17.79/12.92 tff(36458,plain,
% 17.79/12.92 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB116) <=> (~((~v139(constB116)) | (~v128(constB116)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB116) <=> (~((~v128(constB116)) | (~v139(constB116))))))),
% 17.79/12.92 inference(transitivity,[status(thm)],[36457, 36455])).
% 17.79/12.92 tff(36459,plain,
% 17.79/12.92 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB116) <=> (~((~v139(constB116)) | (~v128(constB116)))))),
% 17.79/12.92 inference(quant_inst,[status(thm)],[])).
% 17.79/12.92 tff(36460,plain,
% 17.79/12.92 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB116) <=> (~((~v128(constB116)) | (~v139(constB116)))))),
% 17.79/12.92 inference(modus_ponens,[status(thm)],[36459, 36458])).
% 17.79/12.92 tff(36461,plain,
% 17.79/12.92 (v163(constB116) <=> (~((~v128(constB116)) | (~v139(constB116))))),
% 17.79/12.92 inference(unit_resolution,[status(thm)],[36460, 171])).
% 17.79/12.92 tff(36462,plain,
% 17.79/12.92 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB116) <=> v162(constB116))),
% 17.79/12.92 inference(quant_inst,[status(thm)],[])).
% 17.79/12.92 tff(36463,plain,
% 17.79/12.92 (v128(constB116) <=> v162(constB116)),
% 17.79/12.92 inference(unit_resolution,[status(thm)],[36462, 13])).
% 17.79/12.92 tff(36464,plain,
% 17.79/12.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB115, constB116)) | (v162(constB116) <=> v160(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB115, constB116)) | (v162(constB116) <=> v160(constB115)))),
% 17.79/12.92 inference(rewrite,[status(thm)],[])).
% 17.79/12.92 tff(36465,plain,
% 17.79/12.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB115, constB116)) | (v162(constB116) <=> v160(constB115)))),
% 17.79/12.92 inference(quant_inst,[status(thm)],[])).
% 17.79/12.92 tff(36466,plain,
% 17.79/12.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB115, constB116)) | (v162(constB116) <=> v160(constB115))),
% 17.79/12.92 inference(modus_ponens,[status(thm)],[36465, 36464])).
% 17.79/12.92 tff(36467,plain,
% 17.79/12.92 (v162(constB116) <=> v160(constB115)),
% 17.79/12.92 inference(unit_resolution,[status(thm)],[36466, 16112, 70])).
% 17.79/12.92 tff(36468,plain,
% 17.79/12.92 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB115) <=> (v163(constB115) | v164(constB115)))),
% 17.79/12.92 inference(quant_inst,[status(thm)],[])).
% 17.79/12.92 tff(36469,plain,
% 17.79/12.92 (v160(constB115) <=> (v163(constB115) | v164(constB115))),
% 17.79/12.92 inference(unit_resolution,[status(thm)],[36468, 84])).
% 17.79/12.92 tff(36470,plain,
% 17.79/12.92 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB115) <=> (~((~v128(constB115)) | (~v139(constB115)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB115) <=> (~((~v128(constB115)) | (~v139(constB115))))))),
% 17.79/12.92 inference(rewrite,[status(thm)],[])).
% 17.79/12.92 tff(36471,plain,
% 17.79/12.92 ((v163(constB115) <=> (~((~v139(constB115)) | (~v128(constB115))))) <=> (v163(constB115) <=> (~((~v128(constB115)) | (~v139(constB115)))))),
% 17.79/12.92 inference(rewrite,[status(thm)],[])).
% 17.79/12.92 tff(36472,plain,
% 17.79/12.92 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB115) <=> (~((~v139(constB115)) | (~v128(constB115)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB115) <=> (~((~v128(constB115)) | (~v139(constB115))))))),
% 17.79/12.92 inference(monotonicity,[status(thm)],[36471])).
% 17.79/12.92 tff(36473,plain,
% 17.79/12.92 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB115) <=> (~((~v139(constB115)) | (~v128(constB115)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB115) <=> (~((~v128(constB115)) | (~v139(constB115))))))),
% 17.79/12.92 inference(transitivity,[status(thm)],[36472, 36470])).
% 17.79/12.92 tff(36474,plain,
% 17.79/12.92 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB115) <=> (~((~v139(constB115)) | (~v128(constB115)))))),
% 17.79/12.92 inference(quant_inst,[status(thm)],[])).
% 17.79/12.92 tff(36475,plain,
% 17.79/12.92 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB115) <=> (~((~v128(constB115)) | (~v139(constB115)))))),
% 17.79/12.92 inference(modus_ponens,[status(thm)],[36474, 36473])).
% 17.79/12.92 tff(36476,plain,
% 17.79/12.92 (v163(constB115) <=> (~((~v128(constB115)) | (~v139(constB115))))),
% 17.79/12.92 inference(unit_resolution,[status(thm)],[36475, 171])).
% 17.79/12.92 tff(36477,plain,
% 17.79/12.92 (((~v128(constB115)) | (~v139(constB115))) | v139(constB115)),
% 17.79/12.92 inference(tautology,[status(thm)],[])).
% 17.79/12.92 tff(36478,plain,
% 17.79/12.92 ((~v128(constB115)) | (~v139(constB115))),
% 17.79/12.92 inference(unit_resolution,[status(thm)],[36477, 27652])).
% 17.79/12.92 tff(36479,plain,
% 17.79/12.92 ((~(v163(constB115) <=> (~((~v128(constB115)) | (~v139(constB115)))))) | (~v163(constB115)) | (~((~v128(constB115)) | (~v139(constB115))))),
% 17.79/12.92 inference(tautology,[status(thm)],[])).
% 17.79/12.92 tff(36480,plain,
% 17.79/12.92 (~v163(constB115)),
% 17.79/12.92 inference(unit_resolution,[status(thm)],[36479, 36478, 36476])).
% 17.79/12.92 tff(36481,plain,
% 17.79/12.92 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB115) <=> (~((~v130(constB115)) | (~v155(constB115)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB115) <=> (~((~v130(constB115)) | (~v155(constB115))))))),
% 17.79/12.92 inference(rewrite,[status(thm)],[])).
% 17.79/12.92 tff(36482,plain,
% 17.79/12.92 ((v164(constB115) <=> (~((~v155(constB115)) | (~v130(constB115))))) <=> (v164(constB115) <=> (~((~v130(constB115)) | (~v155(constB115)))))),
% 17.79/12.92 inference(rewrite,[status(thm)],[])).
% 17.79/12.92 tff(36483,plain,
% 17.79/12.92 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB115) <=> (~((~v155(constB115)) | (~v130(constB115)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB115) <=> (~((~v130(constB115)) | (~v155(constB115))))))),
% 17.79/12.92 inference(monotonicity,[status(thm)],[36482])).
% 17.79/12.92 tff(36484,plain,
% 17.79/12.92 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB115) <=> (~((~v155(constB115)) | (~v130(constB115)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB115) <=> (~((~v130(constB115)) | (~v155(constB115))))))),
% 17.79/12.92 inference(transitivity,[status(thm)],[36483, 36481])).
% 17.79/12.92 tff(36485,plain,
% 17.79/12.92 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB115) <=> (~((~v155(constB115)) | (~v130(constB115)))))),
% 17.79/12.92 inference(quant_inst,[status(thm)],[])).
% 17.79/12.92 tff(36486,plain,
% 17.79/12.92 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB115) <=> (~((~v130(constB115)) | (~v155(constB115)))))),
% 17.79/12.92 inference(modus_ponens,[status(thm)],[36485, 36484])).
% 17.79/12.92 tff(36487,plain,
% 17.79/12.92 (v164(constB115) <=> (~((~v130(constB115)) | (~v155(constB115))))),
% 17.79/12.92 inference(unit_resolution,[status(thm)],[36486, 96])).
% 17.79/12.92 tff(36488,plain,
% 17.79/12.92 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB115) <=> v152(constB115))),
% 17.79/12.92 inference(quant_inst,[status(thm)],[])).
% 17.79/12.92 tff(36489,plain,
% 17.79/12.92 (v130(constB115) <=> v152(constB115)),
% 17.79/12.92 inference(unit_resolution,[status(thm)],[36488, 361])).
% 17.79/12.92 tff(36490,plain,
% 17.79/12.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB114, constB115)) | (v152(constB115) <=> v150(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB114, constB115)) | (v152(constB115) <=> v150(constB114)))),
% 17.79/12.92 inference(rewrite,[status(thm)],[])).
% 17.79/12.92 tff(36491,plain,
% 17.79/12.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB114, constB115)) | (v152(constB115) <=> v150(constB114)))),
% 17.79/12.92 inference(quant_inst,[status(thm)],[])).
% 17.79/12.92 tff(36492,plain,
% 17.79/12.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB114, constB115)) | (v152(constB115) <=> v150(constB114))),
% 17.79/12.92 inference(modus_ponens,[status(thm)],[36491, 36490])).
% 17.79/12.92 tff(36493,plain,
% 17.79/12.92 (v152(constB115) <=> v150(constB114)),
% 17.79/12.92 inference(unit_resolution,[status(thm)],[36492, 16137, 373])).
% 17.79/12.92 tff(36494,plain,
% 17.79/12.92 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB114) <=> (v153(constB114) | v154(constB114)))),
% 17.79/12.92 inference(quant_inst,[status(thm)],[])).
% 17.79/12.92 tff(36495,plain,
% 17.79/12.92 (v150(constB114) <=> (v153(constB114) | v154(constB114))),
% 17.79/12.92 inference(unit_resolution,[status(thm)],[36494, 387])).
% 17.79/12.92 tff(36496,plain,
% 17.79/12.92 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB114) <=> (~((~v132(constB114)) | (~v155(constB114)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB114) <=> (~((~v132(constB114)) | (~v155(constB114))))))),
% 17.79/12.92 inference(rewrite,[status(thm)],[])).
% 17.79/12.92 tff(36497,plain,
% 17.79/12.92 ((v154(constB114) <=> (~((~v155(constB114)) | (~v132(constB114))))) <=> (v154(constB114) <=> (~((~v132(constB114)) | (~v155(constB114)))))),
% 17.79/12.92 inference(rewrite,[status(thm)],[])).
% 17.79/12.92 tff(36498,plain,
% 17.79/12.92 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB114) <=> (~((~v155(constB114)) | (~v132(constB114)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB114) <=> (~((~v132(constB114)) | (~v155(constB114))))))),
% 17.79/12.92 inference(monotonicity,[status(thm)],[36497])).
% 17.79/12.92 tff(36499,plain,
% 17.79/12.92 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB114) <=> (~((~v155(constB114)) | (~v132(constB114)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB114) <=> (~((~v132(constB114)) | (~v155(constB114))))))),
% 17.79/12.93 inference(transitivity,[status(thm)],[36498, 36496])).
% 17.79/12.93 tff(36500,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB114) <=> (~((~v155(constB114)) | (~v132(constB114)))))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36501,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB114) <=> (~((~v132(constB114)) | (~v155(constB114)))))),
% 17.79/12.93 inference(modus_ponens,[status(thm)],[36500, 36499])).
% 17.79/12.93 tff(36502,plain,
% 17.79/12.93 (v154(constB114) <=> (~((~v132(constB114)) | (~v155(constB114))))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36501, 399])).
% 17.79/12.93 tff(36503,plain,
% 17.79/12.93 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB114) <=> (~((~v141(constB114)) | (~v143(constB114)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB114) <=> (~((~v141(constB114)) | (~v143(constB114))))))),
% 17.79/12.93 inference(rewrite,[status(thm)],[])).
% 17.79/12.93 tff(36504,plain,
% 17.79/12.93 ((v155(constB114) <=> (~((~v143(constB114)) | (~v141(constB114))))) <=> (v155(constB114) <=> (~((~v141(constB114)) | (~v143(constB114)))))),
% 17.79/12.93 inference(rewrite,[status(thm)],[])).
% 17.79/12.93 tff(36505,plain,
% 17.79/12.93 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB114) <=> (~((~v143(constB114)) | (~v141(constB114)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB114) <=> (~((~v141(constB114)) | (~v143(constB114))))))),
% 17.79/12.93 inference(monotonicity,[status(thm)],[36504])).
% 17.79/12.93 tff(36506,plain,
% 17.79/12.93 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB114) <=> (~((~v143(constB114)) | (~v141(constB114)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB114) <=> (~((~v141(constB114)) | (~v143(constB114))))))),
% 17.79/12.93 inference(transitivity,[status(thm)],[36505, 36503])).
% 17.79/12.93 tff(36507,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB114) <=> (~((~v143(constB114)) | (~v141(constB114)))))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36508,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB114) <=> (~((~v141(constB114)) | (~v143(constB114)))))),
% 17.79/12.93 inference(modus_ponens,[status(thm)],[36507, 36506])).
% 17.79/12.93 tff(36509,plain,
% 17.79/12.93 (v155(constB114) <=> (~((~v141(constB114)) | (~v143(constB114))))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36508, 113])).
% 17.79/12.93 tff(36510,plain,
% 17.79/12.93 (((~v141(constB114)) | (~v143(constB114))) | v141(constB114)),
% 17.79/12.93 inference(tautology,[status(thm)],[])).
% 17.79/12.93 tff(36511,plain,
% 17.79/12.93 ((~v141(constB114)) | (~v143(constB114))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36510, 27687])).
% 17.79/12.93 tff(36512,plain,
% 17.79/12.93 ((~(v155(constB114) <=> (~((~v141(constB114)) | (~v143(constB114)))))) | (~v155(constB114)) | (~((~v141(constB114)) | (~v143(constB114))))),
% 17.79/12.93 inference(tautology,[status(thm)],[])).
% 17.79/12.93 tff(36513,plain,
% 17.79/12.93 ((~(v155(constB114) <=> (~((~v141(constB114)) | (~v143(constB114)))))) | (~v155(constB114))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36512, 36511])).
% 17.79/12.93 tff(36514,plain,
% 17.79/12.93 (~v155(constB114)),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36513, 36509])).
% 17.79/12.93 tff(36515,plain,
% 17.79/12.93 (((~v132(constB114)) | (~v155(constB114))) | v155(constB114)),
% 17.79/12.93 inference(tautology,[status(thm)],[])).
% 17.79/12.93 tff(36516,plain,
% 17.79/12.93 ((~v132(constB114)) | (~v155(constB114))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36515, 36514])).
% 17.79/12.93 tff(36517,plain,
% 17.79/12.93 ((~(v154(constB114) <=> (~((~v132(constB114)) | (~v155(constB114)))))) | (~v154(constB114)) | (~((~v132(constB114)) | (~v155(constB114))))),
% 17.79/12.93 inference(tautology,[status(thm)],[])).
% 17.79/12.93 tff(36518,plain,
% 17.79/12.93 (~v154(constB114)),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36517, 36516, 36502])).
% 17.79/12.93 tff(36519,plain,
% 17.79/12.93 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB114) <=> (~((~v130(constB114)) | (~v139(constB114)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB114) <=> (~((~v130(constB114)) | (~v139(constB114))))))),
% 17.79/12.93 inference(rewrite,[status(thm)],[])).
% 17.79/12.93 tff(36520,plain,
% 17.79/12.93 ((v153(constB114) <=> (~((~v139(constB114)) | (~v130(constB114))))) <=> (v153(constB114) <=> (~((~v130(constB114)) | (~v139(constB114)))))),
% 17.79/12.93 inference(rewrite,[status(thm)],[])).
% 17.79/12.93 tff(36521,plain,
% 17.79/12.93 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB114) <=> (~((~v139(constB114)) | (~v130(constB114)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB114) <=> (~((~v130(constB114)) | (~v139(constB114))))))),
% 17.79/12.93 inference(monotonicity,[status(thm)],[36520])).
% 17.79/12.93 tff(36522,plain,
% 17.79/12.93 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB114) <=> (~((~v139(constB114)) | (~v130(constB114)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB114) <=> (~((~v130(constB114)) | (~v139(constB114))))))),
% 17.79/12.93 inference(transitivity,[status(thm)],[36521, 36519])).
% 17.79/12.93 tff(36523,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB114) <=> (~((~v139(constB114)) | (~v130(constB114)))))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36524,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB114) <=> (~((~v130(constB114)) | (~v139(constB114)))))),
% 17.79/12.93 inference(modus_ponens,[status(thm)],[36523, 36522])).
% 17.79/12.93 tff(36525,plain,
% 17.79/12.93 (v153(constB114) <=> (~((~v130(constB114)) | (~v139(constB114))))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36524, 447])).
% 17.79/12.93 tff(36526,plain,
% 17.79/12.93 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB114) <=> v152(constB114))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36527,plain,
% 17.79/12.93 (v130(constB114) <=> v152(constB114)),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36526, 361])).
% 17.79/12.93 tff(36528,plain,
% 17.79/12.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB113, constB114)) | (v152(constB114) <=> v150(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB113, constB114)) | (v152(constB114) <=> v150(constB113)))),
% 17.79/12.93 inference(rewrite,[status(thm)],[])).
% 17.79/12.93 tff(36529,plain,
% 17.79/12.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB113, constB114)) | (v152(constB114) <=> v150(constB113)))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36530,plain,
% 17.79/12.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB113, constB114)) | (v152(constB114) <=> v150(constB113))),
% 17.79/12.93 inference(modus_ponens,[status(thm)],[36529, 36528])).
% 17.79/12.93 tff(36531,plain,
% 17.79/12.93 (v152(constB114) <=> v150(constB113)),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36530, 16173, 373])).
% 17.79/12.93 tff(36532,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB113) <=> (v153(constB113) | v154(constB113)))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36533,plain,
% 17.79/12.93 (v150(constB113) <=> (v153(constB113) | v154(constB113))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36532, 387])).
% 17.79/12.93 tff(36534,plain,
% 17.79/12.93 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB113) <=> (~((~v130(constB113)) | (~v139(constB113)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB113) <=> (~((~v130(constB113)) | (~v139(constB113))))))),
% 17.79/12.93 inference(rewrite,[status(thm)],[])).
% 17.79/12.93 tff(36535,plain,
% 17.79/12.93 ((v153(constB113) <=> (~((~v139(constB113)) | (~v130(constB113))))) <=> (v153(constB113) <=> (~((~v130(constB113)) | (~v139(constB113)))))),
% 17.79/12.93 inference(rewrite,[status(thm)],[])).
% 17.79/12.93 tff(36536,plain,
% 17.79/12.93 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB113) <=> (~((~v139(constB113)) | (~v130(constB113)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB113) <=> (~((~v130(constB113)) | (~v139(constB113))))))),
% 17.79/12.93 inference(monotonicity,[status(thm)],[36535])).
% 17.79/12.93 tff(36537,plain,
% 17.79/12.93 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB113) <=> (~((~v139(constB113)) | (~v130(constB113)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB113) <=> (~((~v130(constB113)) | (~v139(constB113))))))),
% 17.79/12.93 inference(transitivity,[status(thm)],[36536, 36534])).
% 17.79/12.93 tff(36538,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB113) <=> (~((~v139(constB113)) | (~v130(constB113)))))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36539,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB113) <=> (~((~v130(constB113)) | (~v139(constB113)))))),
% 17.79/12.93 inference(modus_ponens,[status(thm)],[36538, 36537])).
% 17.79/12.93 tff(36540,plain,
% 17.79/12.93 (v153(constB113) <=> (~((~v130(constB113)) | (~v139(constB113))))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36539, 447])).
% 17.79/12.93 tff(36541,plain,
% 17.79/12.93 (((~v130(constB113)) | (~v139(constB113))) | v139(constB113)),
% 17.79/12.93 inference(tautology,[status(thm)],[])).
% 17.79/12.93 tff(36542,plain,
% 17.79/12.93 ((~v130(constB113)) | (~v139(constB113))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36541, 27780])).
% 17.79/12.93 tff(36543,plain,
% 17.79/12.93 ((~(v153(constB113) <=> (~((~v130(constB113)) | (~v139(constB113)))))) | (~v153(constB113)) | (~((~v130(constB113)) | (~v139(constB113))))),
% 17.79/12.93 inference(tautology,[status(thm)],[])).
% 17.79/12.93 tff(36544,plain,
% 17.79/12.93 (~v153(constB113)),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36543, 36542, 36540])).
% 17.79/12.93 tff(36545,plain,
% 17.79/12.93 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB113) <=> (~((~v132(constB113)) | (~v155(constB113)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB113) <=> (~((~v132(constB113)) | (~v155(constB113))))))),
% 17.79/12.93 inference(rewrite,[status(thm)],[])).
% 17.79/12.93 tff(36546,plain,
% 17.79/12.93 ((v154(constB113) <=> (~((~v155(constB113)) | (~v132(constB113))))) <=> (v154(constB113) <=> (~((~v132(constB113)) | (~v155(constB113)))))),
% 17.79/12.93 inference(rewrite,[status(thm)],[])).
% 17.79/12.93 tff(36547,plain,
% 17.79/12.93 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB113) <=> (~((~v155(constB113)) | (~v132(constB113)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB113) <=> (~((~v132(constB113)) | (~v155(constB113))))))),
% 17.79/12.93 inference(monotonicity,[status(thm)],[36546])).
% 17.79/12.93 tff(36548,plain,
% 17.79/12.93 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB113) <=> (~((~v155(constB113)) | (~v132(constB113)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB113) <=> (~((~v132(constB113)) | (~v155(constB113))))))),
% 17.79/12.93 inference(transitivity,[status(thm)],[36547, 36545])).
% 17.79/12.93 tff(36549,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB113) <=> (~((~v155(constB113)) | (~v132(constB113)))))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36550,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB113) <=> (~((~v132(constB113)) | (~v155(constB113)))))),
% 17.79/12.93 inference(modus_ponens,[status(thm)],[36549, 36548])).
% 17.79/12.93 tff(36551,plain,
% 17.79/12.93 (v154(constB113) <=> (~((~v132(constB113)) | (~v155(constB113))))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36550, 399])).
% 17.79/12.93 tff(36552,plain,
% 17.79/12.93 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB113) <=> v137(constB113))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36553,plain,
% 17.79/12.93 (v132(constB113) <=> v137(constB113)),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36552, 558])).
% 17.79/12.93 tff(36554,plain,
% 17.79/12.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB112, constB113)) | (v137(constB113) <=> v135(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB112, constB113)) | (v137(constB113) <=> v135(constB112)))),
% 17.79/12.93 inference(rewrite,[status(thm)],[])).
% 17.79/12.93 tff(36555,plain,
% 17.79/12.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB112, constB113)) | (v137(constB113) <=> v135(constB112)))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36556,plain,
% 17.79/12.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB112, constB113)) | (v137(constB113) <=> v135(constB112))),
% 17.79/12.93 inference(modus_ponens,[status(thm)],[36555, 36554])).
% 17.79/12.93 tff(36557,plain,
% 17.79/12.93 (v137(constB113) <=> v135(constB112)),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36556, 16203, 570])).
% 17.79/12.93 tff(36558,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB112) <=> (v138(constB112) | v142(constB112)))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36559,plain,
% 17.79/12.93 (v135(constB112) <=> (v138(constB112) | v142(constB112))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36558, 584])).
% 17.79/12.93 tff(36560,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB112) <=> (~((~v143(constB112)) | (~v144(constB112)))))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36561,plain,
% 17.79/12.93 (v142(constB112) <=> (~((~v143(constB112)) | (~v144(constB112))))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36560, 596])).
% 17.79/12.93 tff(36562,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB112) <=> (~((~v141(constB112)) | (~v145(constB112)))))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36563,plain,
% 17.79/12.93 (v144(constB112) <=> (~((~v141(constB112)) | (~v145(constB112))))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36562, 608])).
% 17.79/12.93 tff(36564,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB112) <=> (~((~v39(constB112)) | (~v9(constB112)))))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36565,plain,
% 17.79/12.93 (v141(constB112) <=> (~((~v39(constB112)) | (~v9(constB112))))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36564, 130])).
% 17.79/12.93 tff(36566,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB112)) <=> v1(constB112))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36567,plain,
% 17.79/12.93 ((~v39(constB112)) <=> v1(constB112)),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36566, 139])).
% 17.79/12.93 tff(36568,plain,
% 17.79/12.93 ((~((~v39(constB112)) <=> v1(constB112))) | (~v39(constB112)) | (~v1(constB112))),
% 17.79/12.93 inference(tautology,[status(thm)],[])).
% 17.79/12.93 tff(36569,plain,
% 17.79/12.93 ((~((~v39(constB112)) <=> v1(constB112))) | (~v39(constB112))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36568, 17417])).
% 17.79/12.93 tff(36570,plain,
% 17.79/12.93 (~v39(constB112)),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36569, 36567])).
% 17.79/12.93 tff(36571,plain,
% 17.79/12.93 (((~v39(constB112)) | (~v9(constB112))) | v39(constB112)),
% 17.79/12.93 inference(tautology,[status(thm)],[])).
% 17.79/12.93 tff(36572,plain,
% 17.79/12.93 ((~v39(constB112)) | (~v9(constB112))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36571, 36570])).
% 17.79/12.93 tff(36573,plain,
% 17.79/12.93 ((~(v141(constB112) <=> (~((~v39(constB112)) | (~v9(constB112)))))) | (~v141(constB112)) | (~((~v39(constB112)) | (~v9(constB112))))),
% 17.79/12.93 inference(tautology,[status(thm)],[])).
% 17.79/12.93 tff(36574,plain,
% 17.79/12.93 ((~(v141(constB112) <=> (~((~v39(constB112)) | (~v9(constB112)))))) | (~v141(constB112))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36573, 36572])).
% 17.79/12.93 tff(36575,plain,
% 17.79/12.93 (~v141(constB112)),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36574, 36565])).
% 17.79/12.93 tff(36576,plain,
% 17.79/12.93 (((~v141(constB112)) | (~v145(constB112))) | v141(constB112)),
% 17.79/12.93 inference(tautology,[status(thm)],[])).
% 17.79/12.93 tff(36577,plain,
% 17.79/12.93 ((~v141(constB112)) | (~v145(constB112))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36576, 36575])).
% 17.79/12.93 tff(36578,plain,
% 17.79/12.93 ((~(v144(constB112) <=> (~((~v141(constB112)) | (~v145(constB112)))))) | (~v144(constB112)) | (~((~v141(constB112)) | (~v145(constB112))))),
% 17.79/12.93 inference(tautology,[status(thm)],[])).
% 17.79/12.93 tff(36579,plain,
% 17.79/12.93 ((~(v144(constB112) <=> (~((~v141(constB112)) | (~v145(constB112)))))) | (~v144(constB112))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36578, 36577])).
% 17.79/12.93 tff(36580,plain,
% 17.79/12.93 (~v144(constB112)),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36579, 36563])).
% 17.79/12.93 tff(36581,plain,
% 17.79/12.93 (((~v143(constB112)) | (~v144(constB112))) | v144(constB112)),
% 17.79/12.93 inference(tautology,[status(thm)],[])).
% 17.79/12.93 tff(36582,plain,
% 17.79/12.93 ((~v143(constB112)) | (~v144(constB112))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36581, 36580])).
% 17.79/12.93 tff(36583,plain,
% 17.79/12.93 ((~(v142(constB112) <=> (~((~v143(constB112)) | (~v144(constB112)))))) | (~v142(constB112)) | (~((~v143(constB112)) | (~v144(constB112))))),
% 17.79/12.93 inference(tautology,[status(thm)],[])).
% 17.79/12.93 tff(36584,plain,
% 17.79/12.93 (~v142(constB112)),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36583, 36582, 36561])).
% 17.79/12.93 tff(36585,plain,
% 17.79/12.93 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB112) <=> (~((~v132(constB112)) | (~v139(constB112)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB112) <=> (~((~v132(constB112)) | (~v139(constB112))))))),
% 17.79/12.93 inference(rewrite,[status(thm)],[])).
% 17.79/12.93 tff(36586,plain,
% 17.79/12.93 ((v138(constB112) <=> (~((~v139(constB112)) | (~v132(constB112))))) <=> (v138(constB112) <=> (~((~v132(constB112)) | (~v139(constB112)))))),
% 17.79/12.93 inference(rewrite,[status(thm)],[])).
% 17.79/12.93 tff(36587,plain,
% 17.79/12.93 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB112) <=> (~((~v139(constB112)) | (~v132(constB112)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB112) <=> (~((~v132(constB112)) | (~v139(constB112))))))),
% 17.79/12.93 inference(monotonicity,[status(thm)],[36586])).
% 17.79/12.93 tff(36588,plain,
% 17.79/12.93 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB112) <=> (~((~v139(constB112)) | (~v132(constB112)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB112) <=> (~((~v132(constB112)) | (~v139(constB112))))))),
% 17.79/12.93 inference(transitivity,[status(thm)],[36587, 36585])).
% 17.79/12.93 tff(36589,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB112) <=> (~((~v139(constB112)) | (~v132(constB112)))))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36590,plain,
% 17.79/12.93 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB112) <=> (~((~v132(constB112)) | (~v139(constB112)))))),
% 17.79/12.93 inference(modus_ponens,[status(thm)],[36589, 36588])).
% 17.79/12.93 tff(36591,plain,
% 17.79/12.93 (v138(constB112) <=> (~((~v132(constB112)) | (~v139(constB112))))),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36590, 644])).
% 17.79/12.93 tff(36592,plain,
% 17.79/12.93 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB112) <=> v137(constB112))),
% 17.79/12.93 inference(quant_inst,[status(thm)],[])).
% 17.79/12.93 tff(36593,plain,
% 17.79/12.93 (v132(constB112) <=> v137(constB112)),
% 17.79/12.93 inference(unit_resolution,[status(thm)],[36592, 558])).
% 17.79/12.93 tff(36594,plain,
% 17.79/12.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB111, constB112)) | (v137(constB112) <=> v135(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB111, constB112)) | (v137(constB112) <=> v135(constB111)))),
% 17.79/12.94 inference(rewrite,[status(thm)],[])).
% 17.79/12.94 tff(36595,plain,
% 17.79/12.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB111, constB112)) | (v137(constB112) <=> v135(constB111)))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36596,plain,
% 17.79/12.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB111, constB112)) | (v137(constB112) <=> v135(constB111))),
% 17.79/12.94 inference(modus_ponens,[status(thm)],[36595, 36594])).
% 17.79/12.94 tff(36597,plain,
% 17.79/12.94 (v137(constB112) <=> v135(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36596, 16239, 570])).
% 17.79/12.94 tff(36598,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB111) <=> (v138(constB111) | v142(constB111)))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36599,plain,
% 17.79/12.94 (v135(constB111) <=> (v138(constB111) | v142(constB111))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36598, 584])).
% 17.79/12.94 tff(36600,plain,
% 17.79/12.94 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB111) <=> (~((~v132(constB111)) | (~v139(constB111)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB111) <=> (~((~v132(constB111)) | (~v139(constB111))))))),
% 17.79/12.94 inference(rewrite,[status(thm)],[])).
% 17.79/12.94 tff(36601,plain,
% 17.79/12.94 ((v138(constB111) <=> (~((~v139(constB111)) | (~v132(constB111))))) <=> (v138(constB111) <=> (~((~v132(constB111)) | (~v139(constB111)))))),
% 17.79/12.94 inference(rewrite,[status(thm)],[])).
% 17.79/12.94 tff(36602,plain,
% 17.79/12.94 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB111) <=> (~((~v139(constB111)) | (~v132(constB111)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB111) <=> (~((~v132(constB111)) | (~v139(constB111))))))),
% 17.79/12.94 inference(monotonicity,[status(thm)],[36601])).
% 17.79/12.94 tff(36603,plain,
% 17.79/12.94 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB111) <=> (~((~v139(constB111)) | (~v132(constB111)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB111) <=> (~((~v132(constB111)) | (~v139(constB111))))))),
% 17.79/12.94 inference(transitivity,[status(thm)],[36602, 36600])).
% 17.79/12.94 tff(36604,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB111) <=> (~((~v139(constB111)) | (~v132(constB111)))))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36605,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB111) <=> (~((~v132(constB111)) | (~v139(constB111)))))),
% 17.79/12.94 inference(modus_ponens,[status(thm)],[36604, 36603])).
% 17.79/12.94 tff(36606,plain,
% 17.79/12.94 (v138(constB111) <=> (~((~v132(constB111)) | (~v139(constB111))))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36605, 644])).
% 17.79/12.94 tff(36607,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB111)) <=> v140(constB111))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36608,plain,
% 17.79/12.94 ((~v139(constB111)) <=> v140(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36607, 203])).
% 17.79/12.94 tff(36609,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB111) <=> (v141(constB111) | v26(constB111)))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36610,plain,
% 17.79/12.94 (v140(constB111) <=> (v141(constB111) | v26(constB111))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36609, 212])).
% 17.79/12.94 tff(36611,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB111) <=> (~((~v39(constB111)) | (~v9(constB111)))))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36612,plain,
% 17.79/12.94 (v141(constB111) <=> (~((~v39(constB111)) | (~v9(constB111))))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36611, 130])).
% 17.79/12.94 tff(36613,plain,
% 17.79/12.94 (((~![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)))),
% 17.79/12.94 inference(rewrite,[status(thm)],[])).
% 17.79/12.94 tff(36614,plain,
% 17.79/12.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111)))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36615,plain,
% 17.79/12.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB111, constB112)) | (v13(constB112) <=> v9(constB111))),
% 17.79/12.94 inference(modus_ponens,[status(thm)],[36614, 36613])).
% 17.79/12.94 tff(36616,plain,
% 17.79/12.94 (v13(constB112) <=> v9(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36615, 16239, 226])).
% 17.79/12.94 tff(36617,plain,
% 17.79/12.94 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB112) <=> v13(constB112))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36618,plain,
% 17.79/12.94 (v6(constB112) <=> v13(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36617, 240])).
% 17.79/12.94 tff(36619,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB112)) <=> v6(constB112))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36620,plain,
% 17.79/12.94 ((~v21(constB112)) <=> v6(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36619, 249])).
% 17.79/12.94 tff(36621,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB112) <=> (v20(constB112) | v21(constB112)))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36622,plain,
% 17.79/12.94 (v19(constB112) <=> (v20(constB112) | v21(constB112))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36621, 258])).
% 17.79/12.94 tff(36623,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB112) <=> (~((~v19(constB112)) | (~v22(constB112)))))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36624,plain,
% 17.79/12.94 (v18(constB112) <=> (~((~v19(constB112)) | (~v22(constB112))))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36623, 270])).
% 17.79/12.94 tff(36625,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB112)) <=> v18(constB112))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36626,plain,
% 17.79/12.94 ((~v4(constB112)) <=> v18(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36625, 279])).
% 17.79/12.94 tff(36627,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB112)),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36628,plain,
% 17.79/12.94 (v4(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36627, 288])).
% 17.79/12.94 tff(36629,plain,
% 17.79/12.94 ((~((~v4(constB112)) <=> v18(constB112))) | (~v4(constB112)) | (~v18(constB112))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36630,plain,
% 17.79/12.94 (~v18(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36629, 36628, 36626])).
% 17.79/12.94 tff(36631,plain,
% 17.79/12.94 ((~(v18(constB112) <=> (~((~v19(constB112)) | (~v22(constB112)))))) | v18(constB112) | ((~v19(constB112)) | (~v22(constB112)))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36632,plain,
% 17.79/12.94 ((~v19(constB112)) | (~v22(constB112))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36631, 36630, 36624])).
% 17.79/12.94 tff(36633,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB112) <=> (v1(constB112) | v6(constB112)))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36634,plain,
% 17.79/12.94 (v22(constB112) <=> (v1(constB112) | v6(constB112))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36633, 301])).
% 17.79/12.94 tff(36635,plain,
% 17.79/12.94 ((v1(constB112) | v6(constB112)) | (~v1(constB112))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36636,plain,
% 17.79/12.94 (v1(constB112) | v6(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36635, 17417])).
% 17.79/12.94 tff(36637,plain,
% 17.79/12.94 ((~(v22(constB112) <=> (v1(constB112) | v6(constB112)))) | v22(constB112) | (~(v1(constB112) | v6(constB112)))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36638,plain,
% 17.79/12.94 ((~(v22(constB112) <=> (v1(constB112) | v6(constB112)))) | v22(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36637, 36636])).
% 17.79/12.94 tff(36639,plain,
% 17.79/12.94 (v22(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36638, 36634])).
% 17.79/12.94 tff(36640,plain,
% 17.79/12.94 ((~((~v19(constB112)) | (~v22(constB112)))) | (~v19(constB112)) | (~v22(constB112))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36641,plain,
% 17.79/12.94 ((~((~v19(constB112)) | (~v22(constB112)))) | (~v19(constB112))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36640, 36639])).
% 17.79/12.94 tff(36642,plain,
% 17.79/12.94 (~v19(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36641, 36632])).
% 17.79/12.94 tff(36643,plain,
% 17.79/12.94 ((~(v19(constB112) <=> (v20(constB112) | v21(constB112)))) | v19(constB112) | (~(v20(constB112) | v21(constB112)))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36644,plain,
% 17.79/12.94 (~(v20(constB112) | v21(constB112))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36643, 36642, 36622])).
% 17.79/12.94 tff(36645,plain,
% 17.79/12.94 ((v20(constB112) | v21(constB112)) | (~v21(constB112))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36646,plain,
% 17.79/12.94 (~v21(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36645, 36644])).
% 17.79/12.94 tff(36647,plain,
% 17.79/12.94 ((~((~v21(constB112)) <=> v6(constB112))) | v21(constB112) | v6(constB112)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36648,plain,
% 17.79/12.94 (v6(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36647, 36646, 36620])).
% 17.79/12.94 tff(36649,plain,
% 17.79/12.94 ((~(v6(constB112) <=> v13(constB112))) | (~v6(constB112)) | v13(constB112)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36650,plain,
% 17.79/12.94 (v13(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36649, 36648, 36618])).
% 17.79/12.94 tff(36651,plain,
% 17.79/12.94 ((~(v13(constB112) <=> v9(constB111))) | (~v13(constB112)) | v9(constB111)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36652,plain,
% 17.79/12.94 (v9(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36651, 36650, 36616])).
% 17.79/12.94 tff(36653,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB111)) <=> v1(constB111))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36654,plain,
% 17.79/12.94 ((~v39(constB111)) <=> v1(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36653, 139])).
% 17.79/12.94 tff(36655,plain,
% 17.79/12.94 ((~((~v39(constB111)) <=> v1(constB111))) | v39(constB111) | v1(constB111)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36656,plain,
% 17.79/12.94 ((~((~v39(constB111)) <=> v1(constB111))) | v39(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36655, 16278])).
% 17.79/12.94 tff(36657,plain,
% 17.79/12.94 (v39(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36656, 36654])).
% 17.79/12.94 tff(36658,plain,
% 17.79/12.94 ((~((~v39(constB111)) | (~v9(constB111)))) | (~v39(constB111)) | (~v9(constB111))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36659,plain,
% 17.79/12.94 ((~((~v39(constB111)) | (~v9(constB111)))) | (~v9(constB111))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36658, 36657])).
% 17.79/12.94 tff(36660,plain,
% 17.79/12.94 (~((~v39(constB111)) | (~v9(constB111)))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36659, 36652])).
% 17.79/12.94 tff(36661,plain,
% 17.79/12.94 ((~(v141(constB111) <=> (~((~v39(constB111)) | (~v9(constB111)))))) | v141(constB111) | ((~v39(constB111)) | (~v9(constB111)))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36662,plain,
% 17.79/12.94 (v141(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36661, 36660, 36612])).
% 17.79/12.94 tff(36663,plain,
% 17.79/12.94 ((v141(constB111) | v26(constB111)) | (~v141(constB111))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36664,plain,
% 17.79/12.94 (v141(constB111) | v26(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36663, 36662])).
% 17.79/12.94 tff(36665,plain,
% 17.79/12.94 ((~(v140(constB111) <=> (v141(constB111) | v26(constB111)))) | v140(constB111) | (~(v141(constB111) | v26(constB111)))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36666,plain,
% 17.79/12.94 (v140(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36665, 36664, 36610])).
% 17.79/12.94 tff(36667,plain,
% 17.79/12.94 ((~((~v139(constB111)) <=> v140(constB111))) | (~v139(constB111)) | (~v140(constB111))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36668,plain,
% 17.79/12.94 (~v139(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36667, 36666, 36608])).
% 17.79/12.94 tff(36669,plain,
% 17.79/12.94 (((~v132(constB111)) | (~v139(constB111))) | v139(constB111)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36670,plain,
% 17.79/12.94 ((~v132(constB111)) | (~v139(constB111))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36669, 36668])).
% 17.79/12.94 tff(36671,plain,
% 17.79/12.94 ((~(v138(constB111) <=> (~((~v132(constB111)) | (~v139(constB111)))))) | (~v138(constB111)) | (~((~v132(constB111)) | (~v139(constB111))))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36672,plain,
% 17.79/12.94 (~v138(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36671, 36670, 36606])).
% 17.79/12.94 tff(36673,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB111) <=> (~((~v143(constB111)) | (~v144(constB111)))))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36674,plain,
% 17.79/12.94 (v142(constB111) <=> (~((~v143(constB111)) | (~v144(constB111))))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36673, 596])).
% 17.79/12.94 tff(36675,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB111) <=> (~((~v141(constB111)) | (~v145(constB111)))))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36676,plain,
% 17.79/12.94 (v144(constB111) <=> (~((~v141(constB111)) | (~v145(constB111))))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36675, 608])).
% 17.79/12.94 tff(36677,plain,
% 17.79/12.94 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB111) <=> (~(v84(constB111, 1) | v84(constB111, 2) | (~v84(constB111, 0)))))),
% 17.79/12.94 inference(quant_inst,[status(thm)],[])).
% 17.79/12.94 tff(36678,plain,
% 17.79/12.94 (v145(constB111) <=> (~(v84(constB111, 1) | v84(constB111, 2) | (~v84(constB111, 0))))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36677, 755])).
% 17.79/12.94 tff(36679,plain,
% 17.79/12.94 ((v84(constB111, 1) | v84(constB111, 2) | (~v84(constB111, 0))) | (~v84(constB111, 1))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36680,plain,
% 17.79/12.94 (v84(constB111, 1) | v84(constB111, 2) | (~v84(constB111, 0))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36679, 17375])).
% 17.79/12.94 tff(36681,plain,
% 17.79/12.94 ((~(v145(constB111) <=> (~(v84(constB111, 1) | v84(constB111, 2) | (~v84(constB111, 0)))))) | (~v145(constB111)) | (~(v84(constB111, 1) | v84(constB111, 2) | (~v84(constB111, 0))))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36682,plain,
% 17.79/12.94 (~v145(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36681, 36680, 36678])).
% 17.79/12.94 tff(36683,plain,
% 17.79/12.94 (((~v141(constB111)) | (~v145(constB111))) | v145(constB111)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36684,plain,
% 17.79/12.94 ((~v141(constB111)) | (~v145(constB111))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36683, 36682])).
% 17.79/12.94 tff(36685,plain,
% 17.79/12.94 ((~(v144(constB111) <=> (~((~v141(constB111)) | (~v145(constB111)))))) | (~v144(constB111)) | (~((~v141(constB111)) | (~v145(constB111))))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36686,plain,
% 17.79/12.94 (~v144(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36685, 36684, 36676])).
% 17.79/12.94 tff(36687,plain,
% 17.79/12.94 (((~v143(constB111)) | (~v144(constB111))) | v144(constB111)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36688,plain,
% 17.79/12.94 ((~v143(constB111)) | (~v144(constB111))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36687, 36686])).
% 17.79/12.94 tff(36689,plain,
% 17.79/12.94 ((~(v142(constB111) <=> (~((~v143(constB111)) | (~v144(constB111)))))) | (~v142(constB111)) | (~((~v143(constB111)) | (~v144(constB111))))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36690,plain,
% 17.79/12.94 (~v142(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36689, 36688, 36674])).
% 17.79/12.94 tff(36691,plain,
% 17.79/12.94 ((~(v138(constB111) | v142(constB111))) | v138(constB111) | v142(constB111)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36692,plain,
% 17.79/12.94 (~(v138(constB111) | v142(constB111))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36691, 36690, 36672])).
% 17.79/12.94 tff(36693,plain,
% 17.79/12.94 ((~(v135(constB111) <=> (v138(constB111) | v142(constB111)))) | (~v135(constB111)) | (v138(constB111) | v142(constB111))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36694,plain,
% 17.79/12.94 (~v135(constB111)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36693, 36692, 36599])).
% 17.79/12.94 tff(36695,plain,
% 17.79/12.94 ((~(v137(constB112) <=> v135(constB111))) | (~v137(constB112)) | v135(constB111)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36696,plain,
% 17.79/12.94 (~v137(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36695, 36694, 36597])).
% 17.79/12.94 tff(36697,plain,
% 17.79/12.94 ((~(v132(constB112) <=> v137(constB112))) | (~v132(constB112)) | v137(constB112)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36698,plain,
% 17.79/12.94 (~v132(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36697, 36696, 36593])).
% 17.79/12.94 tff(36699,plain,
% 17.79/12.94 (((~v132(constB112)) | (~v139(constB112))) | v132(constB112)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36700,plain,
% 17.79/12.94 ((~v132(constB112)) | (~v139(constB112))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36699, 36698])).
% 17.79/12.94 tff(36701,plain,
% 17.79/12.94 ((~(v138(constB112) <=> (~((~v132(constB112)) | (~v139(constB112)))))) | (~v138(constB112)) | (~((~v132(constB112)) | (~v139(constB112))))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36702,plain,
% 17.79/12.94 (~v138(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36701, 36700, 36591])).
% 17.79/12.94 tff(36703,plain,
% 17.79/12.94 ((~(v138(constB112) | v142(constB112))) | v138(constB112) | v142(constB112)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36704,plain,
% 17.79/12.94 (~(v138(constB112) | v142(constB112))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36703, 36702, 36584])).
% 17.79/12.94 tff(36705,plain,
% 17.79/12.94 ((~(v135(constB112) <=> (v138(constB112) | v142(constB112)))) | (~v135(constB112)) | (v138(constB112) | v142(constB112))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36706,plain,
% 17.79/12.94 (~v135(constB112)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36705, 36704, 36559])).
% 17.79/12.94 tff(36707,plain,
% 17.79/12.94 ((~(v137(constB113) <=> v135(constB112))) | (~v137(constB113)) | v135(constB112)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36708,plain,
% 17.79/12.94 (~v137(constB113)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36707, 36706, 36557])).
% 17.79/12.94 tff(36709,plain,
% 17.79/12.94 ((~(v132(constB113) <=> v137(constB113))) | (~v132(constB113)) | v137(constB113)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36710,plain,
% 17.79/12.94 (~v132(constB113)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36709, 36708, 36553])).
% 17.79/12.94 tff(36711,plain,
% 17.79/12.94 (((~v132(constB113)) | (~v155(constB113))) | v132(constB113)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36712,plain,
% 17.79/12.94 ((~v132(constB113)) | (~v155(constB113))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36711, 36710])).
% 17.79/12.94 tff(36713,plain,
% 17.79/12.94 ((~(v154(constB113) <=> (~((~v132(constB113)) | (~v155(constB113)))))) | (~v154(constB113)) | (~((~v132(constB113)) | (~v155(constB113))))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36714,plain,
% 17.79/12.94 (~v154(constB113)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36713, 36712, 36551])).
% 17.79/12.94 tff(36715,plain,
% 17.79/12.94 ((~(v153(constB113) | v154(constB113))) | v153(constB113) | v154(constB113)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36716,plain,
% 17.79/12.94 (~(v153(constB113) | v154(constB113))),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36715, 36714, 36544])).
% 17.79/12.94 tff(36717,plain,
% 17.79/12.94 ((~(v150(constB113) <=> (v153(constB113) | v154(constB113)))) | (~v150(constB113)) | (v153(constB113) | v154(constB113))),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36718,plain,
% 17.79/12.94 (~v150(constB113)),
% 17.79/12.94 inference(unit_resolution,[status(thm)],[36717, 36716, 36533])).
% 17.79/12.94 tff(36719,plain,
% 17.79/12.94 ((~(v152(constB114) <=> v150(constB113))) | (~v152(constB114)) | v150(constB113)),
% 17.79/12.94 inference(tautology,[status(thm)],[])).
% 17.79/12.94 tff(36720,plain,
% 17.79/12.94 (~v152(constB114)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36719, 36718, 36531])).
% 17.79/12.95 tff(36721,plain,
% 17.79/12.95 ((~(v130(constB114) <=> v152(constB114))) | (~v130(constB114)) | v152(constB114)),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36722,plain,
% 17.79/12.95 (~v130(constB114)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36721, 36720, 36527])).
% 17.79/12.95 tff(36723,plain,
% 17.79/12.95 (((~v130(constB114)) | (~v139(constB114))) | v130(constB114)),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36724,plain,
% 17.79/12.95 ((~v130(constB114)) | (~v139(constB114))),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36723, 36722])).
% 17.79/12.95 tff(36725,plain,
% 17.79/12.95 ((~(v153(constB114) <=> (~((~v130(constB114)) | (~v139(constB114)))))) | (~v153(constB114)) | (~((~v130(constB114)) | (~v139(constB114))))),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36726,plain,
% 17.79/12.95 (~v153(constB114)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36725, 36724, 36525])).
% 17.79/12.95 tff(36727,plain,
% 17.79/12.95 ((~(v153(constB114) | v154(constB114))) | v153(constB114) | v154(constB114)),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36728,plain,
% 17.79/12.95 (~(v153(constB114) | v154(constB114))),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36727, 36726, 36518])).
% 17.79/12.95 tff(36729,plain,
% 17.79/12.95 ((~(v150(constB114) <=> (v153(constB114) | v154(constB114)))) | (~v150(constB114)) | (v153(constB114) | v154(constB114))),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36730,plain,
% 17.79/12.95 (~v150(constB114)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36729, 36728, 36495])).
% 17.79/12.95 tff(36731,plain,
% 17.79/12.95 ((~(v152(constB115) <=> v150(constB114))) | (~v152(constB115)) | v150(constB114)),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36732,plain,
% 17.79/12.95 (~v152(constB115)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36731, 36730, 36493])).
% 17.79/12.95 tff(36733,plain,
% 17.79/12.95 ((~(v130(constB115) <=> v152(constB115))) | (~v130(constB115)) | v152(constB115)),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36734,plain,
% 17.79/12.95 (~v130(constB115)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36733, 36732, 36489])).
% 17.79/12.95 tff(36735,plain,
% 17.79/12.95 (((~v130(constB115)) | (~v155(constB115))) | v130(constB115)),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36736,plain,
% 17.79/12.95 ((~v130(constB115)) | (~v155(constB115))),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36735, 36734])).
% 17.79/12.95 tff(36737,plain,
% 17.79/12.95 ((~(v164(constB115) <=> (~((~v130(constB115)) | (~v155(constB115)))))) | (~v164(constB115)) | (~((~v130(constB115)) | (~v155(constB115))))),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36738,plain,
% 17.79/12.95 (~v164(constB115)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36737, 36736, 36487])).
% 17.79/12.95 tff(36739,plain,
% 17.79/12.95 ((~(v163(constB115) | v164(constB115))) | v163(constB115) | v164(constB115)),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36740,plain,
% 17.79/12.95 (~(v163(constB115) | v164(constB115))),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36739, 36738, 36480])).
% 17.79/12.95 tff(36741,plain,
% 17.79/12.95 ((~(v160(constB115) <=> (v163(constB115) | v164(constB115)))) | (~v160(constB115)) | (v163(constB115) | v164(constB115))),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36742,plain,
% 17.79/12.95 (~v160(constB115)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36741, 36740, 36469])).
% 17.79/12.95 tff(36743,plain,
% 17.79/12.95 ((~(v162(constB116) <=> v160(constB115))) | (~v162(constB116)) | v160(constB115)),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36744,plain,
% 17.79/12.95 (~v162(constB116)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36743, 36742, 36467])).
% 17.79/12.95 tff(36745,plain,
% 17.79/12.95 ((~(v128(constB116) <=> v162(constB116))) | (~v128(constB116)) | v162(constB116)),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36746,plain,
% 17.79/12.95 (~v128(constB116)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36745, 36744, 36463])).
% 17.79/12.95 tff(36747,plain,
% 17.79/12.95 (((~v128(constB116)) | (~v139(constB116))) | v128(constB116)),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36748,plain,
% 17.79/12.95 ((~v128(constB116)) | (~v139(constB116))),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36747, 36746])).
% 17.79/12.95 tff(36749,plain,
% 17.79/12.95 ((~(v163(constB116) <=> (~((~v128(constB116)) | (~v139(constB116)))))) | (~v163(constB116)) | (~((~v128(constB116)) | (~v139(constB116))))),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36750,plain,
% 17.79/12.95 (~v163(constB116)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36749, 36748, 36461])).
% 17.79/12.95 tff(36751,plain,
% 17.79/12.95 ((~(v163(constB116) | v164(constB116))) | v163(constB116) | v164(constB116)),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36752,plain,
% 17.79/12.95 (~(v163(constB116) | v164(constB116))),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36751, 36750, 36454])).
% 17.79/12.95 tff(36753,plain,
% 17.79/12.95 ((~(v160(constB116) <=> (v163(constB116) | v164(constB116)))) | (~v160(constB116)) | (v163(constB116) | v164(constB116))),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36754,plain,
% 17.79/12.95 (~v160(constB116)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36753, 36752, 36443])).
% 17.79/12.95 tff(36755,plain,
% 17.79/12.95 ((~(v162(constB117) <=> v160(constB116))) | (~v162(constB117)) | v160(constB116)),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36756,plain,
% 17.79/12.95 (~v162(constB117)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36755, 36754, 36441])).
% 17.79/12.95 tff(36757,plain,
% 17.79/12.95 ($false),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36756, 36437])).
% 17.79/12.95 tff(36758,plain,(~(constB117 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.79/12.95 tff(36759,assumption,(constB27 = VarCurr!0), introduced(assumption)).
% 17.79/12.95 tff(36760,plain,
% 17.79/12.95 (v162(constB27) <=> v162(VarCurr!0)),
% 17.79/12.95 inference(monotonicity,[status(thm)],[36759])).
% 17.79/12.95 tff(36761,plain,
% 17.79/12.95 (v162(VarCurr!0) <=> v162(constB27)),
% 17.79/12.95 inference(symmetry,[status(thm)],[36760])).
% 17.79/12.95 tff(36762,plain,
% 17.79/12.95 (v162(constB27)),
% 17.79/12.95 inference(modus_ponens,[status(thm)],[59, 36761])).
% 17.79/12.95 tff(36763,plain,
% 17.79/12.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB26, constB27)) | (v162(constB27) <=> v160(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB26, constB27)) | (v162(constB27) <=> v160(constB26)))),
% 17.79/12.95 inference(rewrite,[status(thm)],[])).
% 17.79/12.95 tff(36764,plain,
% 17.79/12.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB26, constB27)) | (v162(constB27) <=> v160(constB26)))),
% 17.79/12.95 inference(quant_inst,[status(thm)],[])).
% 17.79/12.95 tff(36765,plain,
% 17.79/12.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB26, constB27)) | (v162(constB27) <=> v160(constB26))),
% 17.79/12.95 inference(modus_ponens,[status(thm)],[36764, 36763])).
% 17.79/12.95 tff(36766,plain,
% 17.79/12.95 (v162(constB27) <=> v160(constB26)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36765, 1397, 70])).
% 17.79/12.95 tff(36767,plain,
% 17.79/12.95 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB26) <=> (v163(constB26) | v164(constB26)))),
% 17.79/12.95 inference(quant_inst,[status(thm)],[])).
% 17.79/12.95 tff(36768,plain,
% 17.79/12.95 (v160(constB26) <=> (v163(constB26) | v164(constB26))),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36767, 84])).
% 17.79/12.95 tff(36769,plain,
% 17.79/12.95 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB26) <=> (~((~v130(constB26)) | (~v155(constB26)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB26) <=> (~((~v130(constB26)) | (~v155(constB26))))))),
% 17.79/12.95 inference(rewrite,[status(thm)],[])).
% 17.79/12.95 tff(36770,plain,
% 17.79/12.95 ((v164(constB26) <=> (~((~v155(constB26)) | (~v130(constB26))))) <=> (v164(constB26) <=> (~((~v130(constB26)) | (~v155(constB26)))))),
% 17.79/12.95 inference(rewrite,[status(thm)],[])).
% 17.79/12.95 tff(36771,plain,
% 17.79/12.95 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB26) <=> (~((~v155(constB26)) | (~v130(constB26)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB26) <=> (~((~v130(constB26)) | (~v155(constB26))))))),
% 17.79/12.95 inference(monotonicity,[status(thm)],[36770])).
% 17.79/12.95 tff(36772,plain,
% 17.79/12.95 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB26) <=> (~((~v155(constB26)) | (~v130(constB26)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB26) <=> (~((~v130(constB26)) | (~v155(constB26))))))),
% 17.79/12.95 inference(transitivity,[status(thm)],[36771, 36769])).
% 17.79/12.95 tff(36773,plain,
% 17.79/12.95 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB26) <=> (~((~v155(constB26)) | (~v130(constB26)))))),
% 17.79/12.95 inference(quant_inst,[status(thm)],[])).
% 17.79/12.95 tff(36774,plain,
% 17.79/12.95 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB26) <=> (~((~v130(constB26)) | (~v155(constB26)))))),
% 17.79/12.95 inference(modus_ponens,[status(thm)],[36773, 36772])).
% 17.79/12.95 tff(36775,plain,
% 17.79/12.95 (v164(constB26) <=> (~((~v130(constB26)) | (~v155(constB26))))),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36774, 96])).
% 17.79/12.95 tff(36776,plain,
% 17.79/12.95 (((~v130(constB26)) | (~v155(constB26))) | v155(constB26)),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36777,plain,
% 17.79/12.95 ((~v130(constB26)) | (~v155(constB26))),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36776, 21575])).
% 17.79/12.95 tff(36778,plain,
% 17.79/12.95 ((~(v164(constB26) <=> (~((~v130(constB26)) | (~v155(constB26)))))) | (~v164(constB26)) | (~((~v130(constB26)) | (~v155(constB26))))),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36779,plain,
% 17.79/12.95 (~v164(constB26)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36778, 36777, 36775])).
% 17.79/12.95 tff(36780,plain,
% 17.79/12.95 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB26) <=> (~((~v128(constB26)) | (~v139(constB26)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB26) <=> (~((~v128(constB26)) | (~v139(constB26))))))),
% 17.79/12.95 inference(rewrite,[status(thm)],[])).
% 17.79/12.95 tff(36781,plain,
% 17.79/12.95 ((v163(constB26) <=> (~((~v139(constB26)) | (~v128(constB26))))) <=> (v163(constB26) <=> (~((~v128(constB26)) | (~v139(constB26)))))),
% 17.79/12.95 inference(rewrite,[status(thm)],[])).
% 17.79/12.95 tff(36782,plain,
% 17.79/12.95 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB26) <=> (~((~v139(constB26)) | (~v128(constB26)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB26) <=> (~((~v128(constB26)) | (~v139(constB26))))))),
% 17.79/12.95 inference(monotonicity,[status(thm)],[36781])).
% 17.79/12.95 tff(36783,plain,
% 17.79/12.95 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB26) <=> (~((~v139(constB26)) | (~v128(constB26)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB26) <=> (~((~v128(constB26)) | (~v139(constB26))))))),
% 17.79/12.95 inference(transitivity,[status(thm)],[36782, 36780])).
% 17.79/12.95 tff(36784,plain,
% 17.79/12.95 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB26) <=> (~((~v139(constB26)) | (~v128(constB26)))))),
% 17.79/12.95 inference(quant_inst,[status(thm)],[])).
% 17.79/12.95 tff(36785,plain,
% 17.79/12.95 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB26) <=> (~((~v128(constB26)) | (~v139(constB26)))))),
% 17.79/12.95 inference(modus_ponens,[status(thm)],[36784, 36783])).
% 17.79/12.95 tff(36786,plain,
% 17.79/12.95 (v163(constB26) <=> (~((~v128(constB26)) | (~v139(constB26))))),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36785, 171])).
% 17.79/12.95 tff(36787,plain,
% 17.79/12.95 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB26) <=> v162(constB26))),
% 17.79/12.95 inference(quant_inst,[status(thm)],[])).
% 17.79/12.95 tff(36788,plain,
% 17.79/12.95 (v128(constB26) <=> v162(constB26)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36787, 13])).
% 17.79/12.95 tff(36789,plain,
% 17.79/12.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB25, constB26)) | (v162(constB26) <=> v160(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB25, constB26)) | (v162(constB26) <=> v160(constB25)))),
% 17.79/12.95 inference(rewrite,[status(thm)],[])).
% 17.79/12.95 tff(36790,plain,
% 17.79/12.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB25, constB26)) | (v162(constB26) <=> v160(constB25)))),
% 17.79/12.95 inference(quant_inst,[status(thm)],[])).
% 17.79/12.95 tff(36791,plain,
% 17.79/12.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB25, constB26)) | (v162(constB26) <=> v160(constB25))),
% 17.79/12.95 inference(modus_ponens,[status(thm)],[36790, 36789])).
% 17.79/12.95 tff(36792,plain,
% 17.79/12.95 (v162(constB26) <=> v160(constB25)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36791, 1433, 70])).
% 17.79/12.95 tff(36793,plain,
% 17.79/12.95 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB25) <=> (v163(constB25) | v164(constB25)))),
% 17.79/12.95 inference(quant_inst,[status(thm)],[])).
% 17.79/12.95 tff(36794,plain,
% 17.79/12.95 (v160(constB25) <=> (v163(constB25) | v164(constB25))),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36793, 84])).
% 17.79/12.95 tff(36795,plain,
% 17.79/12.95 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB25) <=> (~((~v128(constB25)) | (~v139(constB25)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB25) <=> (~((~v128(constB25)) | (~v139(constB25))))))),
% 17.79/12.95 inference(rewrite,[status(thm)],[])).
% 17.79/12.95 tff(36796,plain,
% 17.79/12.95 ((v163(constB25) <=> (~((~v139(constB25)) | (~v128(constB25))))) <=> (v163(constB25) <=> (~((~v128(constB25)) | (~v139(constB25)))))),
% 17.79/12.95 inference(rewrite,[status(thm)],[])).
% 17.79/12.95 tff(36797,plain,
% 17.79/12.95 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB25) <=> (~((~v139(constB25)) | (~v128(constB25)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB25) <=> (~((~v128(constB25)) | (~v139(constB25))))))),
% 17.79/12.95 inference(monotonicity,[status(thm)],[36796])).
% 17.79/12.95 tff(36798,plain,
% 17.79/12.95 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB25) <=> (~((~v139(constB25)) | (~v128(constB25)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB25) <=> (~((~v128(constB25)) | (~v139(constB25))))))),
% 17.79/12.95 inference(transitivity,[status(thm)],[36797, 36795])).
% 17.79/12.95 tff(36799,plain,
% 17.79/12.95 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB25) <=> (~((~v139(constB25)) | (~v128(constB25)))))),
% 17.79/12.95 inference(quant_inst,[status(thm)],[])).
% 17.79/12.95 tff(36800,plain,
% 17.79/12.95 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB25) <=> (~((~v128(constB25)) | (~v139(constB25)))))),
% 17.79/12.95 inference(modus_ponens,[status(thm)],[36799, 36798])).
% 17.79/12.95 tff(36801,plain,
% 17.79/12.95 (v163(constB25) <=> (~((~v128(constB25)) | (~v139(constB25))))),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36800, 171])).
% 17.79/12.95 tff(36802,plain,
% 17.79/12.95 (((~v128(constB25)) | (~v139(constB25))) | v139(constB25)),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36803,plain,
% 17.79/12.95 ((~v128(constB25)) | (~v139(constB25))),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36802, 21663])).
% 17.79/12.95 tff(36804,plain,
% 17.79/12.95 ((~(v163(constB25) <=> (~((~v128(constB25)) | (~v139(constB25)))))) | (~v163(constB25)) | (~((~v128(constB25)) | (~v139(constB25))))),
% 17.79/12.95 inference(tautology,[status(thm)],[])).
% 17.79/12.95 tff(36805,plain,
% 17.79/12.95 (~v163(constB25)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36804, 36803, 36801])).
% 17.79/12.95 tff(36806,plain,
% 17.79/12.95 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB25) <=> (~((~v130(constB25)) | (~v155(constB25)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB25) <=> (~((~v130(constB25)) | (~v155(constB25))))))),
% 17.79/12.95 inference(rewrite,[status(thm)],[])).
% 17.79/12.95 tff(36807,plain,
% 17.79/12.95 ((v164(constB25) <=> (~((~v155(constB25)) | (~v130(constB25))))) <=> (v164(constB25) <=> (~((~v130(constB25)) | (~v155(constB25)))))),
% 17.79/12.95 inference(rewrite,[status(thm)],[])).
% 17.79/12.95 tff(36808,plain,
% 17.79/12.95 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB25) <=> (~((~v155(constB25)) | (~v130(constB25)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB25) <=> (~((~v130(constB25)) | (~v155(constB25))))))),
% 17.79/12.95 inference(monotonicity,[status(thm)],[36807])).
% 17.79/12.95 tff(36809,plain,
% 17.79/12.95 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB25) <=> (~((~v155(constB25)) | (~v130(constB25)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB25) <=> (~((~v130(constB25)) | (~v155(constB25))))))),
% 17.79/12.95 inference(transitivity,[status(thm)],[36808, 36806])).
% 17.79/12.95 tff(36810,plain,
% 17.79/12.95 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB25) <=> (~((~v155(constB25)) | (~v130(constB25)))))),
% 17.79/12.95 inference(quant_inst,[status(thm)],[])).
% 17.79/12.95 tff(36811,plain,
% 17.79/12.95 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB25) <=> (~((~v130(constB25)) | (~v155(constB25)))))),
% 17.79/12.95 inference(modus_ponens,[status(thm)],[36810, 36809])).
% 17.79/12.95 tff(36812,plain,
% 17.79/12.95 (v164(constB25) <=> (~((~v130(constB25)) | (~v155(constB25))))),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36811, 96])).
% 17.79/12.95 tff(36813,plain,
% 17.79/12.95 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB25) <=> v152(constB25))),
% 17.79/12.95 inference(quant_inst,[status(thm)],[])).
% 17.79/12.95 tff(36814,plain,
% 17.79/12.95 (v130(constB25) <=> v152(constB25)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36813, 361])).
% 17.79/12.95 tff(36815,plain,
% 17.79/12.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB24, constB25)) | (v152(constB25) <=> v150(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB24, constB25)) | (v152(constB25) <=> v150(constB24)))),
% 17.79/12.95 inference(rewrite,[status(thm)],[])).
% 17.79/12.95 tff(36816,plain,
% 17.79/12.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB24, constB25)) | (v152(constB25) <=> v150(constB24)))),
% 17.79/12.95 inference(quant_inst,[status(thm)],[])).
% 17.79/12.95 tff(36817,plain,
% 17.79/12.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB24, constB25)) | (v152(constB25) <=> v150(constB24))),
% 17.79/12.95 inference(modus_ponens,[status(thm)],[36816, 36815])).
% 17.79/12.95 tff(36818,plain,
% 17.79/12.95 (v152(constB25) <=> v150(constB24)),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36817, 1471, 373])).
% 17.79/12.95 tff(36819,plain,
% 17.79/12.95 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB24) <=> (v153(constB24) | v154(constB24)))),
% 17.79/12.95 inference(quant_inst,[status(thm)],[])).
% 17.79/12.95 tff(36820,plain,
% 17.79/12.95 (v150(constB24) <=> (v153(constB24) | v154(constB24))),
% 17.79/12.95 inference(unit_resolution,[status(thm)],[36819, 387])).
% 17.79/12.95 tff(36821,plain,
% 17.79/12.95 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB24) <=> (~((~v132(constB24)) | (~v155(constB24)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB24) <=> (~((~v132(constB24)) | (~v155(constB24))))))),
% 17.79/12.95 inference(rewrite,[status(thm)],[])).
% 17.79/12.95 tff(36822,plain,
% 17.79/12.95 ((v154(constB24) <=> (~((~v155(constB24)) | (~v132(constB24))))) <=> (v154(constB24) <=> (~((~v132(constB24)) | (~v155(constB24)))))),
% 17.79/12.95 inference(rewrite,[status(thm)],[])).
% 17.79/12.95 tff(36823,plain,
% 17.79/12.95 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB24) <=> (~((~v155(constB24)) | (~v132(constB24)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB24) <=> (~((~v132(constB24)) | (~v155(constB24))))))),
% 17.79/12.96 inference(monotonicity,[status(thm)],[36822])).
% 17.79/12.96 tff(36824,plain,
% 17.79/12.96 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB24) <=> (~((~v155(constB24)) | (~v132(constB24)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB24) <=> (~((~v132(constB24)) | (~v155(constB24))))))),
% 17.79/12.96 inference(transitivity,[status(thm)],[36823, 36821])).
% 17.79/12.96 tff(36825,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB24) <=> (~((~v155(constB24)) | (~v132(constB24)))))),
% 17.79/12.96 inference(quant_inst,[status(thm)],[])).
% 17.79/12.96 tff(36826,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB24) <=> (~((~v132(constB24)) | (~v155(constB24)))))),
% 17.79/12.96 inference(modus_ponens,[status(thm)],[36825, 36824])).
% 17.79/12.96 tff(36827,plain,
% 17.79/12.96 (v154(constB24) <=> (~((~v132(constB24)) | (~v155(constB24))))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36826, 399])).
% 17.79/12.96 tff(36828,plain,
% 17.79/12.96 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB24) <=> (~((~v141(constB24)) | (~v143(constB24)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB24) <=> (~((~v141(constB24)) | (~v143(constB24))))))),
% 17.79/12.96 inference(rewrite,[status(thm)],[])).
% 17.79/12.96 tff(36829,plain,
% 17.79/12.96 ((v155(constB24) <=> (~((~v143(constB24)) | (~v141(constB24))))) <=> (v155(constB24) <=> (~((~v141(constB24)) | (~v143(constB24)))))),
% 17.79/12.96 inference(rewrite,[status(thm)],[])).
% 17.79/12.96 tff(36830,plain,
% 17.79/12.96 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB24) <=> (~((~v143(constB24)) | (~v141(constB24)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB24) <=> (~((~v141(constB24)) | (~v143(constB24))))))),
% 17.79/12.96 inference(monotonicity,[status(thm)],[36829])).
% 17.79/12.96 tff(36831,plain,
% 17.79/12.96 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB24) <=> (~((~v143(constB24)) | (~v141(constB24)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB24) <=> (~((~v141(constB24)) | (~v143(constB24))))))),
% 17.79/12.96 inference(transitivity,[status(thm)],[36830, 36828])).
% 17.79/12.96 tff(36832,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB24) <=> (~((~v143(constB24)) | (~v141(constB24)))))),
% 17.79/12.96 inference(quant_inst,[status(thm)],[])).
% 17.79/12.96 tff(36833,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB24) <=> (~((~v141(constB24)) | (~v143(constB24)))))),
% 17.79/12.96 inference(modus_ponens,[status(thm)],[36832, 36831])).
% 17.79/12.96 tff(36834,plain,
% 17.79/12.96 (v155(constB24) <=> (~((~v141(constB24)) | (~v143(constB24))))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36833, 113])).
% 17.79/12.96 tff(36835,plain,
% 17.79/12.96 (((~v141(constB24)) | (~v143(constB24))) | v141(constB24)),
% 17.79/12.96 inference(tautology,[status(thm)],[])).
% 17.79/12.96 tff(36836,plain,
% 17.79/12.96 ((~v141(constB24)) | (~v143(constB24))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36835, 21698])).
% 17.79/12.96 tff(36837,plain,
% 17.79/12.96 ((~(v155(constB24) <=> (~((~v141(constB24)) | (~v143(constB24)))))) | (~v155(constB24)) | (~((~v141(constB24)) | (~v143(constB24))))),
% 17.79/12.96 inference(tautology,[status(thm)],[])).
% 17.79/12.96 tff(36838,plain,
% 17.79/12.96 ((~(v155(constB24) <=> (~((~v141(constB24)) | (~v143(constB24)))))) | (~v155(constB24))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36837, 36836])).
% 17.79/12.96 tff(36839,plain,
% 17.79/12.96 (~v155(constB24)),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36838, 36834])).
% 17.79/12.96 tff(36840,plain,
% 17.79/12.96 (((~v132(constB24)) | (~v155(constB24))) | v155(constB24)),
% 17.79/12.96 inference(tautology,[status(thm)],[])).
% 17.79/12.96 tff(36841,plain,
% 17.79/12.96 ((~v132(constB24)) | (~v155(constB24))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36840, 36839])).
% 17.79/12.96 tff(36842,plain,
% 17.79/12.96 ((~(v154(constB24) <=> (~((~v132(constB24)) | (~v155(constB24)))))) | (~v154(constB24)) | (~((~v132(constB24)) | (~v155(constB24))))),
% 17.79/12.96 inference(tautology,[status(thm)],[])).
% 17.79/12.96 tff(36843,plain,
% 17.79/12.96 (~v154(constB24)),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36842, 36841, 36827])).
% 17.79/12.96 tff(36844,plain,
% 17.79/12.96 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB24) <=> (~((~v130(constB24)) | (~v139(constB24)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB24) <=> (~((~v130(constB24)) | (~v139(constB24))))))),
% 17.79/12.96 inference(rewrite,[status(thm)],[])).
% 17.79/12.96 tff(36845,plain,
% 17.79/12.96 ((v153(constB24) <=> (~((~v139(constB24)) | (~v130(constB24))))) <=> (v153(constB24) <=> (~((~v130(constB24)) | (~v139(constB24)))))),
% 17.79/12.96 inference(rewrite,[status(thm)],[])).
% 17.79/12.96 tff(36846,plain,
% 17.79/12.96 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB24) <=> (~((~v139(constB24)) | (~v130(constB24)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB24) <=> (~((~v130(constB24)) | (~v139(constB24))))))),
% 17.79/12.96 inference(monotonicity,[status(thm)],[36845])).
% 17.79/12.96 tff(36847,plain,
% 17.79/12.96 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB24) <=> (~((~v139(constB24)) | (~v130(constB24)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB24) <=> (~((~v130(constB24)) | (~v139(constB24))))))),
% 17.79/12.96 inference(transitivity,[status(thm)],[36846, 36844])).
% 17.79/12.96 tff(36848,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB24) <=> (~((~v139(constB24)) | (~v130(constB24)))))),
% 17.79/12.96 inference(quant_inst,[status(thm)],[])).
% 17.79/12.96 tff(36849,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB24) <=> (~((~v130(constB24)) | (~v139(constB24)))))),
% 17.79/12.96 inference(modus_ponens,[status(thm)],[36848, 36847])).
% 17.79/12.96 tff(36850,plain,
% 17.79/12.96 (v153(constB24) <=> (~((~v130(constB24)) | (~v139(constB24))))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36849, 447])).
% 17.79/12.96 tff(36851,plain,
% 17.79/12.96 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB24) <=> v152(constB24))),
% 17.79/12.96 inference(quant_inst,[status(thm)],[])).
% 17.79/12.96 tff(36852,plain,
% 17.79/12.96 (v130(constB24) <=> v152(constB24)),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36851, 361])).
% 17.79/12.96 tff(36853,plain,
% 17.79/12.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB23, constB24)) | (v152(constB24) <=> v150(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB23, constB24)) | (v152(constB24) <=> v150(constB23)))),
% 17.79/12.96 inference(rewrite,[status(thm)],[])).
% 17.79/12.96 tff(36854,plain,
% 17.79/12.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB23, constB24)) | (v152(constB24) <=> v150(constB23)))),
% 17.79/12.96 inference(quant_inst,[status(thm)],[])).
% 17.79/12.96 tff(36855,plain,
% 17.79/12.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB23, constB24)) | (v152(constB24) <=> v150(constB23))),
% 17.79/12.96 inference(modus_ponens,[status(thm)],[36854, 36853])).
% 17.79/12.96 tff(36856,plain,
% 17.79/12.96 (v152(constB24) <=> v150(constB23)),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36855, 1507, 373])).
% 17.79/12.96 tff(36857,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB23) <=> (v153(constB23) | v154(constB23)))),
% 17.79/12.96 inference(quant_inst,[status(thm)],[])).
% 17.79/12.96 tff(36858,plain,
% 17.79/12.96 (v150(constB23) <=> (v153(constB23) | v154(constB23))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36857, 387])).
% 17.79/12.96 tff(36859,plain,
% 17.79/12.96 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB23) <=> (~((~v130(constB23)) | (~v139(constB23)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB23) <=> (~((~v130(constB23)) | (~v139(constB23))))))),
% 17.79/12.96 inference(rewrite,[status(thm)],[])).
% 17.79/12.96 tff(36860,plain,
% 17.79/12.96 ((v153(constB23) <=> (~((~v139(constB23)) | (~v130(constB23))))) <=> (v153(constB23) <=> (~((~v130(constB23)) | (~v139(constB23)))))),
% 17.79/12.96 inference(rewrite,[status(thm)],[])).
% 17.79/12.96 tff(36861,plain,
% 17.79/12.96 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB23) <=> (~((~v139(constB23)) | (~v130(constB23)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB23) <=> (~((~v130(constB23)) | (~v139(constB23))))))),
% 17.79/12.96 inference(monotonicity,[status(thm)],[36860])).
% 17.79/12.96 tff(36862,plain,
% 17.79/12.96 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB23) <=> (~((~v139(constB23)) | (~v130(constB23)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB23) <=> (~((~v130(constB23)) | (~v139(constB23))))))),
% 17.79/12.96 inference(transitivity,[status(thm)],[36861, 36859])).
% 17.79/12.96 tff(36863,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB23) <=> (~((~v139(constB23)) | (~v130(constB23)))))),
% 17.79/12.96 inference(quant_inst,[status(thm)],[])).
% 17.79/12.96 tff(36864,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB23) <=> (~((~v130(constB23)) | (~v139(constB23)))))),
% 17.79/12.96 inference(modus_ponens,[status(thm)],[36863, 36862])).
% 17.79/12.96 tff(36865,plain,
% 17.79/12.96 (v153(constB23) <=> (~((~v130(constB23)) | (~v139(constB23))))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36864, 447])).
% 17.79/12.96 tff(36866,plain,
% 17.79/12.96 (((~v130(constB23)) | (~v139(constB23))) | v139(constB23)),
% 17.79/12.96 inference(tautology,[status(thm)],[])).
% 17.79/12.96 tff(36867,plain,
% 17.79/12.96 ((~v130(constB23)) | (~v139(constB23))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36866, 21791])).
% 17.79/12.96 tff(36868,plain,
% 17.79/12.96 ((~(v153(constB23) <=> (~((~v130(constB23)) | (~v139(constB23)))))) | (~v153(constB23)) | (~((~v130(constB23)) | (~v139(constB23))))),
% 17.79/12.96 inference(tautology,[status(thm)],[])).
% 17.79/12.96 tff(36869,plain,
% 17.79/12.96 (~v153(constB23)),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36868, 36867, 36865])).
% 17.79/12.96 tff(36870,plain,
% 17.79/12.96 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB23) <=> (~((~v132(constB23)) | (~v155(constB23)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB23) <=> (~((~v132(constB23)) | (~v155(constB23))))))),
% 17.79/12.96 inference(rewrite,[status(thm)],[])).
% 17.79/12.96 tff(36871,plain,
% 17.79/12.96 ((v154(constB23) <=> (~((~v155(constB23)) | (~v132(constB23))))) <=> (v154(constB23) <=> (~((~v132(constB23)) | (~v155(constB23)))))),
% 17.79/12.96 inference(rewrite,[status(thm)],[])).
% 17.79/12.96 tff(36872,plain,
% 17.79/12.96 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB23) <=> (~((~v155(constB23)) | (~v132(constB23)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB23) <=> (~((~v132(constB23)) | (~v155(constB23))))))),
% 17.79/12.96 inference(monotonicity,[status(thm)],[36871])).
% 17.79/12.96 tff(36873,plain,
% 17.79/12.96 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB23) <=> (~((~v155(constB23)) | (~v132(constB23)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB23) <=> (~((~v132(constB23)) | (~v155(constB23))))))),
% 17.79/12.96 inference(transitivity,[status(thm)],[36872, 36870])).
% 17.79/12.96 tff(36874,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB23) <=> (~((~v155(constB23)) | (~v132(constB23)))))),
% 17.79/12.96 inference(quant_inst,[status(thm)],[])).
% 17.79/12.96 tff(36875,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB23) <=> (~((~v132(constB23)) | (~v155(constB23)))))),
% 17.79/12.96 inference(modus_ponens,[status(thm)],[36874, 36873])).
% 17.79/12.96 tff(36876,plain,
% 17.79/12.96 (v154(constB23) <=> (~((~v132(constB23)) | (~v155(constB23))))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36875, 399])).
% 17.79/12.96 tff(36877,plain,
% 17.79/12.96 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB23) <=> v137(constB23))),
% 17.79/12.96 inference(quant_inst,[status(thm)],[])).
% 17.79/12.96 tff(36878,plain,
% 17.79/12.96 (v132(constB23) <=> v137(constB23)),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36877, 558])).
% 17.79/12.96 tff(36879,plain,
% 17.79/12.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB22, constB23)) | (v137(constB23) <=> v135(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB22, constB23)) | (v137(constB23) <=> v135(constB22)))),
% 17.79/12.96 inference(rewrite,[status(thm)],[])).
% 17.79/12.96 tff(36880,plain,
% 17.79/12.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB22, constB23)) | (v137(constB23) <=> v135(constB22)))),
% 17.79/12.96 inference(quant_inst,[status(thm)],[])).
% 17.79/12.96 tff(36881,plain,
% 17.79/12.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB22, constB23)) | (v137(constB23) <=> v135(constB22))),
% 17.79/12.96 inference(modus_ponens,[status(thm)],[36880, 36879])).
% 17.79/12.96 tff(36882,plain,
% 17.79/12.96 (v137(constB23) <=> v135(constB22)),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36881, 1537, 570])).
% 17.79/12.96 tff(36883,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB22) <=> (v138(constB22) | v142(constB22)))),
% 17.79/12.96 inference(quant_inst,[status(thm)],[])).
% 17.79/12.96 tff(36884,plain,
% 17.79/12.96 (v135(constB22) <=> (v138(constB22) | v142(constB22))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36883, 584])).
% 17.79/12.96 tff(36885,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB22) <=> (~((~v143(constB22)) | (~v144(constB22)))))),
% 17.79/12.96 inference(quant_inst,[status(thm)],[])).
% 17.79/12.96 tff(36886,plain,
% 17.79/12.96 (v142(constB22) <=> (~((~v143(constB22)) | (~v144(constB22))))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36885, 596])).
% 17.79/12.96 tff(36887,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB22) <=> (~((~v141(constB22)) | (~v145(constB22)))))),
% 17.79/12.96 inference(quant_inst,[status(thm)],[])).
% 17.79/12.96 tff(36888,plain,
% 17.79/12.96 (v144(constB22) <=> (~((~v141(constB22)) | (~v145(constB22))))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36887, 608])).
% 17.79/12.96 tff(36889,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))),
% 17.79/12.96 inference(quant_inst,[status(thm)],[])).
% 17.79/12.96 tff(36890,plain,
% 17.79/12.96 (v141(constB22) <=> (~((~v39(constB22)) | (~v9(constB22))))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36889, 130])).
% 17.79/12.96 tff(36891,plain,
% 17.79/12.96 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB22)) <=> v1(constB22))),
% 17.79/12.96 inference(quant_inst,[status(thm)],[])).
% 17.79/12.96 tff(36892,plain,
% 17.79/12.96 ((~v39(constB22)) <=> v1(constB22)),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36891, 139])).
% 17.79/12.96 tff(36893,plain,
% 17.79/12.96 ((~((~v39(constB22)) <=> v1(constB22))) | (~v39(constB22)) | (~v1(constB22))),
% 17.79/12.96 inference(tautology,[status(thm)],[])).
% 17.79/12.96 tff(36894,plain,
% 17.79/12.96 ((~((~v39(constB22)) <=> v1(constB22))) | (~v39(constB22))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36893, 4140])).
% 17.79/12.96 tff(36895,plain,
% 17.79/12.96 (~v39(constB22)),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36894, 36892])).
% 17.79/12.96 tff(36896,plain,
% 17.79/12.96 (((~v39(constB22)) | (~v9(constB22))) | v39(constB22)),
% 17.79/12.96 inference(tautology,[status(thm)],[])).
% 17.79/12.96 tff(36897,plain,
% 17.79/12.96 ((~v39(constB22)) | (~v9(constB22))),
% 17.79/12.96 inference(unit_resolution,[status(thm)],[36896, 36895])).
% 17.79/12.97 tff(36898,plain,
% 17.79/12.97 ((~(v141(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))) | (~v141(constB22)) | (~((~v39(constB22)) | (~v9(constB22))))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36899,plain,
% 17.79/12.97 ((~(v141(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))) | (~v141(constB22))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36898, 36897])).
% 17.79/12.97 tff(36900,plain,
% 17.79/12.97 (~v141(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36899, 36890])).
% 17.79/12.97 tff(36901,plain,
% 17.79/12.97 (((~v141(constB22)) | (~v145(constB22))) | v141(constB22)),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36902,plain,
% 17.79/12.97 ((~v141(constB22)) | (~v145(constB22))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36901, 36900])).
% 17.79/12.97 tff(36903,plain,
% 17.79/12.97 ((~(v144(constB22) <=> (~((~v141(constB22)) | (~v145(constB22)))))) | (~v144(constB22)) | (~((~v141(constB22)) | (~v145(constB22))))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36904,plain,
% 17.79/12.97 ((~(v144(constB22) <=> (~((~v141(constB22)) | (~v145(constB22)))))) | (~v144(constB22))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36903, 36902])).
% 17.79/12.97 tff(36905,plain,
% 17.79/12.97 (~v144(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36904, 36888])).
% 17.79/12.97 tff(36906,plain,
% 17.79/12.97 (((~v143(constB22)) | (~v144(constB22))) | v144(constB22)),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36907,plain,
% 17.79/12.97 ((~v143(constB22)) | (~v144(constB22))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36906, 36905])).
% 17.79/12.97 tff(36908,plain,
% 17.79/12.97 ((~(v142(constB22) <=> (~((~v143(constB22)) | (~v144(constB22)))))) | (~v142(constB22)) | (~((~v143(constB22)) | (~v144(constB22))))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36909,plain,
% 17.79/12.97 (~v142(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36908, 36907, 36886])).
% 17.79/12.97 tff(36910,plain,
% 17.79/12.97 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB22) <=> (~((~v132(constB22)) | (~v139(constB22)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB22) <=> (~((~v132(constB22)) | (~v139(constB22))))))),
% 17.79/12.97 inference(rewrite,[status(thm)],[])).
% 17.79/12.97 tff(36911,plain,
% 17.79/12.97 ((v138(constB22) <=> (~((~v139(constB22)) | (~v132(constB22))))) <=> (v138(constB22) <=> (~((~v132(constB22)) | (~v139(constB22)))))),
% 17.79/12.97 inference(rewrite,[status(thm)],[])).
% 17.79/12.97 tff(36912,plain,
% 17.79/12.97 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB22) <=> (~((~v139(constB22)) | (~v132(constB22)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB22) <=> (~((~v132(constB22)) | (~v139(constB22))))))),
% 17.79/12.97 inference(monotonicity,[status(thm)],[36911])).
% 17.79/12.97 tff(36913,plain,
% 17.79/12.97 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB22) <=> (~((~v139(constB22)) | (~v132(constB22)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB22) <=> (~((~v132(constB22)) | (~v139(constB22))))))),
% 17.79/12.97 inference(transitivity,[status(thm)],[36912, 36910])).
% 17.79/12.97 tff(36914,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB22) <=> (~((~v139(constB22)) | (~v132(constB22)))))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36915,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB22) <=> (~((~v132(constB22)) | (~v139(constB22)))))),
% 17.79/12.97 inference(modus_ponens,[status(thm)],[36914, 36913])).
% 17.79/12.97 tff(36916,plain,
% 17.79/12.97 (v138(constB22) <=> (~((~v132(constB22)) | (~v139(constB22))))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36915, 644])).
% 17.79/12.97 tff(36917,plain,
% 17.79/12.97 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB22) <=> v137(constB22))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36918,plain,
% 17.79/12.97 (v132(constB22) <=> v137(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36917, 558])).
% 17.79/12.97 tff(36919,plain,
% 17.79/12.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB21, constB22)) | (v137(constB22) <=> v135(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB21, constB22)) | (v137(constB22) <=> v135(constB21)))),
% 17.79/12.97 inference(rewrite,[status(thm)],[])).
% 17.79/12.97 tff(36920,plain,
% 17.79/12.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB21, constB22)) | (v137(constB22) <=> v135(constB21)))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36921,plain,
% 17.79/12.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB21, constB22)) | (v137(constB22) <=> v135(constB21))),
% 17.79/12.97 inference(modus_ponens,[status(thm)],[36920, 36919])).
% 17.79/12.97 tff(36922,plain,
% 17.79/12.97 (v137(constB22) <=> v135(constB21)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36921, 1573, 570])).
% 17.79/12.97 tff(36923,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB21) <=> (v138(constB21) | v142(constB21)))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36924,plain,
% 17.79/12.97 (v135(constB21) <=> (v138(constB21) | v142(constB21))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36923, 584])).
% 17.79/12.97 tff(36925,plain,
% 17.79/12.97 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB21) <=> (~((~v132(constB21)) | (~v139(constB21)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB21) <=> (~((~v132(constB21)) | (~v139(constB21))))))),
% 17.79/12.97 inference(rewrite,[status(thm)],[])).
% 17.79/12.97 tff(36926,plain,
% 17.79/12.97 ((v138(constB21) <=> (~((~v139(constB21)) | (~v132(constB21))))) <=> (v138(constB21) <=> (~((~v132(constB21)) | (~v139(constB21)))))),
% 17.79/12.97 inference(rewrite,[status(thm)],[])).
% 17.79/12.97 tff(36927,plain,
% 17.79/12.97 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB21) <=> (~((~v139(constB21)) | (~v132(constB21)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB21) <=> (~((~v132(constB21)) | (~v139(constB21))))))),
% 17.79/12.97 inference(monotonicity,[status(thm)],[36926])).
% 17.79/12.97 tff(36928,plain,
% 17.79/12.97 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB21) <=> (~((~v139(constB21)) | (~v132(constB21)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB21) <=> (~((~v132(constB21)) | (~v139(constB21))))))),
% 17.79/12.97 inference(transitivity,[status(thm)],[36927, 36925])).
% 17.79/12.97 tff(36929,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB21) <=> (~((~v139(constB21)) | (~v132(constB21)))))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36930,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB21) <=> (~((~v132(constB21)) | (~v139(constB21)))))),
% 17.79/12.97 inference(modus_ponens,[status(thm)],[36929, 36928])).
% 17.79/12.97 tff(36931,plain,
% 17.79/12.97 (v138(constB21) <=> (~((~v132(constB21)) | (~v139(constB21))))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36930, 644])).
% 17.79/12.97 tff(36932,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB21)) <=> v140(constB21))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36933,plain,
% 17.79/12.97 ((~v139(constB21)) <=> v140(constB21)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36932, 203])).
% 17.79/12.97 tff(36934,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB21) <=> (v141(constB21) | v26(constB21)))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36935,plain,
% 17.79/12.97 (v140(constB21) <=> (v141(constB21) | v26(constB21))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36934, 212])).
% 17.79/12.97 tff(36936,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB21) <=> (~((~v39(constB21)) | (~v9(constB21)))))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36937,plain,
% 17.79/12.97 (v141(constB21) <=> (~((~v39(constB21)) | (~v9(constB21))))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36936, 130])).
% 17.79/12.97 tff(36938,plain,
% 17.79/12.97 (((~![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)))),
% 17.79/12.97 inference(rewrite,[status(thm)],[])).
% 17.79/12.97 tff(36939,plain,
% 17.79/12.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21)))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36940,plain,
% 17.79/12.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21))),
% 17.79/12.97 inference(modus_ponens,[status(thm)],[36939, 36938])).
% 17.79/12.97 tff(36941,plain,
% 17.79/12.97 (v13(constB22) <=> v9(constB21)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36940, 1573, 226])).
% 17.79/12.97 tff(36942,plain,
% 17.79/12.97 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB22) <=> v13(constB22))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36943,plain,
% 17.79/12.97 (v6(constB22) <=> v13(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36942, 240])).
% 17.79/12.97 tff(36944,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB22)) <=> v6(constB22))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36945,plain,
% 17.79/12.97 ((~v21(constB22)) <=> v6(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36944, 249])).
% 17.79/12.97 tff(36946,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB22) <=> (v20(constB22) | v21(constB22)))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36947,plain,
% 17.79/12.97 (v19(constB22) <=> (v20(constB22) | v21(constB22))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36946, 258])).
% 17.79/12.97 tff(36948,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22)))))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36949,plain,
% 17.79/12.97 (v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22))))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36948, 270])).
% 17.79/12.97 tff(36950,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB22)) <=> v18(constB22))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36951,plain,
% 17.79/12.97 ((~v4(constB22)) <=> v18(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36950, 279])).
% 17.79/12.97 tff(36952,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB22)),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36953,plain,
% 17.79/12.97 (v4(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36952, 288])).
% 17.79/12.97 tff(36954,plain,
% 17.79/12.97 ((~((~v4(constB22)) <=> v18(constB22))) | (~v4(constB22)) | (~v18(constB22))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36955,plain,
% 17.79/12.97 (~v18(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36954, 36953, 36951])).
% 17.79/12.97 tff(36956,plain,
% 17.79/12.97 ((~(v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22)))))) | v18(constB22) | ((~v19(constB22)) | (~v22(constB22)))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36957,plain,
% 17.79/12.97 ((~v19(constB22)) | (~v22(constB22))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36956, 36955, 36949])).
% 17.79/12.97 tff(36958,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB22) <=> (v1(constB22) | v6(constB22)))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36959,plain,
% 17.79/12.97 (v22(constB22) <=> (v1(constB22) | v6(constB22))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36958, 301])).
% 17.79/12.97 tff(36960,plain,
% 17.79/12.97 ((v1(constB22) | v6(constB22)) | (~v1(constB22))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36961,plain,
% 17.79/12.97 (v1(constB22) | v6(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36960, 4140])).
% 17.79/12.97 tff(36962,plain,
% 17.79/12.97 ((~(v22(constB22) <=> (v1(constB22) | v6(constB22)))) | v22(constB22) | (~(v1(constB22) | v6(constB22)))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36963,plain,
% 17.79/12.97 ((~(v22(constB22) <=> (v1(constB22) | v6(constB22)))) | v22(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36962, 36961])).
% 17.79/12.97 tff(36964,plain,
% 17.79/12.97 (v22(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36963, 36959])).
% 17.79/12.97 tff(36965,plain,
% 17.79/12.97 ((~((~v19(constB22)) | (~v22(constB22)))) | (~v19(constB22)) | (~v22(constB22))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36966,plain,
% 17.79/12.97 ((~((~v19(constB22)) | (~v22(constB22)))) | (~v19(constB22))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36965, 36964])).
% 17.79/12.97 tff(36967,plain,
% 17.79/12.97 (~v19(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36966, 36957])).
% 17.79/12.97 tff(36968,plain,
% 17.79/12.97 ((~(v19(constB22) <=> (v20(constB22) | v21(constB22)))) | v19(constB22) | (~(v20(constB22) | v21(constB22)))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36969,plain,
% 17.79/12.97 (~(v20(constB22) | v21(constB22))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36968, 36967, 36947])).
% 17.79/12.97 tff(36970,plain,
% 17.79/12.97 ((v20(constB22) | v21(constB22)) | (~v21(constB22))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36971,plain,
% 17.79/12.97 (~v21(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36970, 36969])).
% 17.79/12.97 tff(36972,plain,
% 17.79/12.97 ((~((~v21(constB22)) <=> v6(constB22))) | v21(constB22) | v6(constB22)),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36973,plain,
% 17.79/12.97 (v6(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36972, 36971, 36945])).
% 17.79/12.97 tff(36974,plain,
% 17.79/12.97 ((~(v6(constB22) <=> v13(constB22))) | (~v6(constB22)) | v13(constB22)),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36975,plain,
% 17.79/12.97 (v13(constB22)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36974, 36973, 36943])).
% 17.79/12.97 tff(36976,plain,
% 17.79/12.97 ((~(v13(constB22) <=> v9(constB21))) | (~v13(constB22)) | v9(constB21)),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36977,plain,
% 17.79/12.97 (v9(constB21)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36976, 36975, 36941])).
% 17.79/12.97 tff(36978,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB21)) <=> v1(constB21))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36979,plain,
% 17.79/12.97 ((~v39(constB21)) <=> v1(constB21)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36978, 139])).
% 17.79/12.97 tff(36980,plain,
% 17.79/12.97 ((~((~v39(constB21)) <=> v1(constB21))) | v39(constB21) | v1(constB21)),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36981,plain,
% 17.79/12.97 ((~((~v39(constB21)) <=> v1(constB21))) | v39(constB21)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36980, 1612])).
% 17.79/12.97 tff(36982,plain,
% 17.79/12.97 (v39(constB21)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36981, 36979])).
% 17.79/12.97 tff(36983,plain,
% 17.79/12.97 ((~((~v39(constB21)) | (~v9(constB21)))) | (~v39(constB21)) | (~v9(constB21))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36984,plain,
% 17.79/12.97 ((~((~v39(constB21)) | (~v9(constB21)))) | (~v9(constB21))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36983, 36982])).
% 17.79/12.97 tff(36985,plain,
% 17.79/12.97 (~((~v39(constB21)) | (~v9(constB21)))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36984, 36977])).
% 17.79/12.97 tff(36986,plain,
% 17.79/12.97 ((~(v141(constB21) <=> (~((~v39(constB21)) | (~v9(constB21)))))) | v141(constB21) | ((~v39(constB21)) | (~v9(constB21)))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36987,plain,
% 17.79/12.97 (v141(constB21)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36986, 36985, 36937])).
% 17.79/12.97 tff(36988,plain,
% 17.79/12.97 ((v141(constB21) | v26(constB21)) | (~v141(constB21))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36989,plain,
% 17.79/12.97 (v141(constB21) | v26(constB21)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36988, 36987])).
% 17.79/12.97 tff(36990,plain,
% 17.79/12.97 ((~(v140(constB21) <=> (v141(constB21) | v26(constB21)))) | v140(constB21) | (~(v141(constB21) | v26(constB21)))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36991,plain,
% 17.79/12.97 (v140(constB21)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36990, 36989, 36935])).
% 17.79/12.97 tff(36992,plain,
% 17.79/12.97 ((~((~v139(constB21)) <=> v140(constB21))) | (~v139(constB21)) | (~v140(constB21))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36993,plain,
% 17.79/12.97 (~v139(constB21)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36992, 36991, 36933])).
% 17.79/12.97 tff(36994,plain,
% 17.79/12.97 (((~v132(constB21)) | (~v139(constB21))) | v139(constB21)),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36995,plain,
% 17.79/12.97 ((~v132(constB21)) | (~v139(constB21))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36994, 36993])).
% 17.79/12.97 tff(36996,plain,
% 17.79/12.97 ((~(v138(constB21) <=> (~((~v132(constB21)) | (~v139(constB21)))))) | (~v138(constB21)) | (~((~v132(constB21)) | (~v139(constB21))))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(36997,plain,
% 17.79/12.97 (~v138(constB21)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36996, 36995, 36931])).
% 17.79/12.97 tff(36998,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB21) <=> (~((~v143(constB21)) | (~v144(constB21)))))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(36999,plain,
% 17.79/12.97 (v142(constB21) <=> (~((~v143(constB21)) | (~v144(constB21))))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[36998, 596])).
% 17.79/12.97 tff(37000,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB21) <=> (~((~v141(constB21)) | (~v145(constB21)))))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(37001,plain,
% 17.79/12.97 (v144(constB21) <=> (~((~v141(constB21)) | (~v145(constB21))))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[37000, 608])).
% 17.79/12.97 tff(37002,plain,
% 17.79/12.97 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 2) | (~v84(constB21, 0)))))),
% 17.79/12.97 inference(quant_inst,[status(thm)],[])).
% 17.79/12.97 tff(37003,plain,
% 17.79/12.97 (v145(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 2) | (~v84(constB21, 0))))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[37002, 755])).
% 17.79/12.97 tff(37004,plain,
% 17.79/12.97 ((v84(constB21, 1) | v84(constB21, 2) | (~v84(constB21, 0))) | (~v84(constB21, 1))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(37005,plain,
% 17.79/12.97 (v84(constB21, 1) | v84(constB21, 2) | (~v84(constB21, 0))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[37004, 4098])).
% 17.79/12.97 tff(37006,plain,
% 17.79/12.97 ((~(v145(constB21) <=> (~(v84(constB21, 1) | v84(constB21, 2) | (~v84(constB21, 0)))))) | (~v145(constB21)) | (~(v84(constB21, 1) | v84(constB21, 2) | (~v84(constB21, 0))))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(37007,plain,
% 17.79/12.97 (~v145(constB21)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[37006, 37005, 37003])).
% 17.79/12.97 tff(37008,plain,
% 17.79/12.97 (((~v141(constB21)) | (~v145(constB21))) | v145(constB21)),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(37009,plain,
% 17.79/12.97 ((~v141(constB21)) | (~v145(constB21))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[37008, 37007])).
% 17.79/12.97 tff(37010,plain,
% 17.79/12.97 ((~(v144(constB21) <=> (~((~v141(constB21)) | (~v145(constB21)))))) | (~v144(constB21)) | (~((~v141(constB21)) | (~v145(constB21))))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(37011,plain,
% 17.79/12.97 (~v144(constB21)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[37010, 37009, 37001])).
% 17.79/12.97 tff(37012,plain,
% 17.79/12.97 (((~v143(constB21)) | (~v144(constB21))) | v144(constB21)),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(37013,plain,
% 17.79/12.97 ((~v143(constB21)) | (~v144(constB21))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[37012, 37011])).
% 17.79/12.97 tff(37014,plain,
% 17.79/12.97 ((~(v142(constB21) <=> (~((~v143(constB21)) | (~v144(constB21)))))) | (~v142(constB21)) | (~((~v143(constB21)) | (~v144(constB21))))),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(37015,plain,
% 17.79/12.97 (~v142(constB21)),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[37014, 37013, 36999])).
% 17.79/12.97 tff(37016,plain,
% 17.79/12.97 ((~(v138(constB21) | v142(constB21))) | v138(constB21) | v142(constB21)),
% 17.79/12.97 inference(tautology,[status(thm)],[])).
% 17.79/12.97 tff(37017,plain,
% 17.79/12.97 (~(v138(constB21) | v142(constB21))),
% 17.79/12.97 inference(unit_resolution,[status(thm)],[37016, 37015, 36997])).
% 17.79/12.97 tff(37018,plain,
% 17.79/12.98 ((~(v135(constB21) <=> (v138(constB21) | v142(constB21)))) | (~v135(constB21)) | (v138(constB21) | v142(constB21))),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37019,plain,
% 17.79/12.98 (~v135(constB21)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37018, 37017, 36924])).
% 17.79/12.98 tff(37020,plain,
% 17.79/12.98 ((~(v137(constB22) <=> v135(constB21))) | (~v137(constB22)) | v135(constB21)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37021,plain,
% 17.79/12.98 (~v137(constB22)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37020, 37019, 36922])).
% 17.79/12.98 tff(37022,plain,
% 17.79/12.98 ((~(v132(constB22) <=> v137(constB22))) | (~v132(constB22)) | v137(constB22)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37023,plain,
% 17.79/12.98 (~v132(constB22)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37022, 37021, 36918])).
% 17.79/12.98 tff(37024,plain,
% 17.79/12.98 (((~v132(constB22)) | (~v139(constB22))) | v132(constB22)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37025,plain,
% 17.79/12.98 ((~v132(constB22)) | (~v139(constB22))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37024, 37023])).
% 17.79/12.98 tff(37026,plain,
% 17.79/12.98 ((~(v138(constB22) <=> (~((~v132(constB22)) | (~v139(constB22)))))) | (~v138(constB22)) | (~((~v132(constB22)) | (~v139(constB22))))),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37027,plain,
% 17.79/12.98 (~v138(constB22)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37026, 37025, 36916])).
% 17.79/12.98 tff(37028,plain,
% 17.79/12.98 ((~(v138(constB22) | v142(constB22))) | v138(constB22) | v142(constB22)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37029,plain,
% 17.79/12.98 (~(v138(constB22) | v142(constB22))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37028, 37027, 36909])).
% 17.79/12.98 tff(37030,plain,
% 17.79/12.98 ((~(v135(constB22) <=> (v138(constB22) | v142(constB22)))) | (~v135(constB22)) | (v138(constB22) | v142(constB22))),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37031,plain,
% 17.79/12.98 (~v135(constB22)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37030, 37029, 36884])).
% 17.79/12.98 tff(37032,plain,
% 17.79/12.98 ((~(v137(constB23) <=> v135(constB22))) | (~v137(constB23)) | v135(constB22)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37033,plain,
% 17.79/12.98 (~v137(constB23)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37032, 37031, 36882])).
% 17.79/12.98 tff(37034,plain,
% 17.79/12.98 ((~(v132(constB23) <=> v137(constB23))) | (~v132(constB23)) | v137(constB23)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37035,plain,
% 17.79/12.98 (~v132(constB23)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37034, 37033, 36878])).
% 17.79/12.98 tff(37036,plain,
% 17.79/12.98 (((~v132(constB23)) | (~v155(constB23))) | v132(constB23)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37037,plain,
% 17.79/12.98 ((~v132(constB23)) | (~v155(constB23))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37036, 37035])).
% 17.79/12.98 tff(37038,plain,
% 17.79/12.98 ((~(v154(constB23) <=> (~((~v132(constB23)) | (~v155(constB23)))))) | (~v154(constB23)) | (~((~v132(constB23)) | (~v155(constB23))))),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37039,plain,
% 17.79/12.98 (~v154(constB23)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37038, 37037, 36876])).
% 17.79/12.98 tff(37040,plain,
% 17.79/12.98 ((~(v153(constB23) | v154(constB23))) | v153(constB23) | v154(constB23)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37041,plain,
% 17.79/12.98 (~(v153(constB23) | v154(constB23))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37040, 37039, 36869])).
% 17.79/12.98 tff(37042,plain,
% 17.79/12.98 ((~(v150(constB23) <=> (v153(constB23) | v154(constB23)))) | (~v150(constB23)) | (v153(constB23) | v154(constB23))),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37043,plain,
% 17.79/12.98 (~v150(constB23)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37042, 37041, 36858])).
% 17.79/12.98 tff(37044,plain,
% 17.79/12.98 ((~(v152(constB24) <=> v150(constB23))) | (~v152(constB24)) | v150(constB23)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37045,plain,
% 17.79/12.98 (~v152(constB24)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37044, 37043, 36856])).
% 17.79/12.98 tff(37046,plain,
% 17.79/12.98 ((~(v130(constB24) <=> v152(constB24))) | (~v130(constB24)) | v152(constB24)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37047,plain,
% 17.79/12.98 (~v130(constB24)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37046, 37045, 36852])).
% 17.79/12.98 tff(37048,plain,
% 17.79/12.98 (((~v130(constB24)) | (~v139(constB24))) | v130(constB24)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37049,plain,
% 17.79/12.98 ((~v130(constB24)) | (~v139(constB24))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37048, 37047])).
% 17.79/12.98 tff(37050,plain,
% 17.79/12.98 ((~(v153(constB24) <=> (~((~v130(constB24)) | (~v139(constB24)))))) | (~v153(constB24)) | (~((~v130(constB24)) | (~v139(constB24))))),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37051,plain,
% 17.79/12.98 (~v153(constB24)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37050, 37049, 36850])).
% 17.79/12.98 tff(37052,plain,
% 17.79/12.98 ((~(v153(constB24) | v154(constB24))) | v153(constB24) | v154(constB24)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37053,plain,
% 17.79/12.98 (~(v153(constB24) | v154(constB24))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37052, 37051, 36843])).
% 17.79/12.98 tff(37054,plain,
% 17.79/12.98 ((~(v150(constB24) <=> (v153(constB24) | v154(constB24)))) | (~v150(constB24)) | (v153(constB24) | v154(constB24))),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37055,plain,
% 17.79/12.98 (~v150(constB24)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37054, 37053, 36820])).
% 17.79/12.98 tff(37056,plain,
% 17.79/12.98 ((~(v152(constB25) <=> v150(constB24))) | (~v152(constB25)) | v150(constB24)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37057,plain,
% 17.79/12.98 (~v152(constB25)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37056, 37055, 36818])).
% 17.79/12.98 tff(37058,plain,
% 17.79/12.98 ((~(v130(constB25) <=> v152(constB25))) | (~v130(constB25)) | v152(constB25)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37059,plain,
% 17.79/12.98 (~v130(constB25)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37058, 37057, 36814])).
% 17.79/12.98 tff(37060,plain,
% 17.79/12.98 (((~v130(constB25)) | (~v155(constB25))) | v130(constB25)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37061,plain,
% 17.79/12.98 ((~v130(constB25)) | (~v155(constB25))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37060, 37059])).
% 17.79/12.98 tff(37062,plain,
% 17.79/12.98 ((~(v164(constB25) <=> (~((~v130(constB25)) | (~v155(constB25)))))) | (~v164(constB25)) | (~((~v130(constB25)) | (~v155(constB25))))),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37063,plain,
% 17.79/12.98 (~v164(constB25)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37062, 37061, 36812])).
% 17.79/12.98 tff(37064,plain,
% 17.79/12.98 ((~(v163(constB25) | v164(constB25))) | v163(constB25) | v164(constB25)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37065,plain,
% 17.79/12.98 (~(v163(constB25) | v164(constB25))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37064, 37063, 36805])).
% 17.79/12.98 tff(37066,plain,
% 17.79/12.98 ((~(v160(constB25) <=> (v163(constB25) | v164(constB25)))) | (~v160(constB25)) | (v163(constB25) | v164(constB25))),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37067,plain,
% 17.79/12.98 (~v160(constB25)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37066, 37065, 36794])).
% 17.79/12.98 tff(37068,plain,
% 17.79/12.98 ((~(v162(constB26) <=> v160(constB25))) | (~v162(constB26)) | v160(constB25)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37069,plain,
% 17.79/12.98 (~v162(constB26)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37068, 37067, 36792])).
% 17.79/12.98 tff(37070,plain,
% 17.79/12.98 ((~(v128(constB26) <=> v162(constB26))) | (~v128(constB26)) | v162(constB26)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37071,plain,
% 17.79/12.98 (~v128(constB26)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37070, 37069, 36788])).
% 17.79/12.98 tff(37072,plain,
% 17.79/12.98 (((~v128(constB26)) | (~v139(constB26))) | v128(constB26)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37073,plain,
% 17.79/12.98 ((~v128(constB26)) | (~v139(constB26))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37072, 37071])).
% 17.79/12.98 tff(37074,plain,
% 17.79/12.98 ((~(v163(constB26) <=> (~((~v128(constB26)) | (~v139(constB26)))))) | (~v163(constB26)) | (~((~v128(constB26)) | (~v139(constB26))))),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37075,plain,
% 17.79/12.98 (~v163(constB26)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37074, 37073, 36786])).
% 17.79/12.98 tff(37076,plain,
% 17.79/12.98 ((~(v163(constB26) | v164(constB26))) | v163(constB26) | v164(constB26)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37077,plain,
% 17.79/12.98 (~(v163(constB26) | v164(constB26))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37076, 37075, 36779])).
% 17.79/12.98 tff(37078,plain,
% 17.79/12.98 ((~(v160(constB26) <=> (v163(constB26) | v164(constB26)))) | (~v160(constB26)) | (v163(constB26) | v164(constB26))),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37079,plain,
% 17.79/12.98 (~v160(constB26)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37078, 37077, 36768])).
% 17.79/12.98 tff(37080,plain,
% 17.79/12.98 ((~(v162(constB27) <=> v160(constB26))) | (~v162(constB27)) | v160(constB26)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37081,plain,
% 17.79/12.98 (~v162(constB27)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37080, 37079, 36766])).
% 17.79/12.98 tff(37082,plain,
% 17.79/12.98 ($false),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37081, 36762])).
% 17.79/12.98 tff(37083,plain,(~(constB27 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.79/12.98 tff(37084,assumption,(constB179 = VarCurr!0), introduced(assumption)).
% 17.79/12.98 tff(37085,plain,
% 17.79/12.98 (v162(constB179) <=> v162(VarCurr!0)),
% 17.79/12.98 inference(monotonicity,[status(thm)],[37084])).
% 17.79/12.98 tff(37086,plain,
% 17.79/12.98 (v162(VarCurr!0) <=> v162(constB179)),
% 17.79/12.98 inference(symmetry,[status(thm)],[37085])).
% 17.79/12.98 tff(37087,plain,
% 17.79/12.98 (v162(constB179)),
% 17.79/12.98 inference(modus_ponens,[status(thm)],[59, 37086])).
% 17.79/12.98 tff(37088,plain,
% 17.79/12.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB178, constB179)) | (v162(constB179) <=> v160(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB178, constB179)) | (v162(constB179) <=> v160(constB178)))),
% 17.79/12.98 inference(rewrite,[status(thm)],[])).
% 17.79/12.98 tff(37089,plain,
% 17.79/12.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB178, constB179)) | (v162(constB179) <=> v160(constB178)))),
% 17.79/12.98 inference(quant_inst,[status(thm)],[])).
% 17.79/12.98 tff(37090,plain,
% 17.79/12.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB178, constB179)) | (v162(constB179) <=> v160(constB178))),
% 17.79/12.98 inference(modus_ponens,[status(thm)],[37089, 37088])).
% 17.79/12.98 tff(37091,plain,
% 17.79/12.98 (v162(constB179) <=> v160(constB178)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37090, 22449, 70])).
% 17.79/12.98 tff(37092,plain,
% 17.79/12.98 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB178) <=> (v163(constB178) | v164(constB178)))),
% 17.79/12.98 inference(quant_inst,[status(thm)],[])).
% 17.79/12.98 tff(37093,plain,
% 17.79/12.98 (v160(constB178) <=> (v163(constB178) | v164(constB178))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37092, 84])).
% 17.79/12.98 tff(37094,plain,
% 17.79/12.98 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB178) <=> (~((~v130(constB178)) | (~v155(constB178)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB178) <=> (~((~v130(constB178)) | (~v155(constB178))))))),
% 17.79/12.98 inference(rewrite,[status(thm)],[])).
% 17.79/12.98 tff(37095,plain,
% 17.79/12.98 ((v164(constB178) <=> (~((~v155(constB178)) | (~v130(constB178))))) <=> (v164(constB178) <=> (~((~v130(constB178)) | (~v155(constB178)))))),
% 17.79/12.98 inference(rewrite,[status(thm)],[])).
% 17.79/12.98 tff(37096,plain,
% 17.79/12.98 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB178) <=> (~((~v155(constB178)) | (~v130(constB178)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB178) <=> (~((~v130(constB178)) | (~v155(constB178))))))),
% 17.79/12.98 inference(monotonicity,[status(thm)],[37095])).
% 17.79/12.98 tff(37097,plain,
% 17.79/12.98 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB178) <=> (~((~v155(constB178)) | (~v130(constB178)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB178) <=> (~((~v130(constB178)) | (~v155(constB178))))))),
% 17.79/12.98 inference(transitivity,[status(thm)],[37096, 37094])).
% 17.79/12.98 tff(37098,plain,
% 17.79/12.98 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB178) <=> (~((~v155(constB178)) | (~v130(constB178)))))),
% 17.79/12.98 inference(quant_inst,[status(thm)],[])).
% 17.79/12.98 tff(37099,plain,
% 17.79/12.98 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB178) <=> (~((~v130(constB178)) | (~v155(constB178)))))),
% 17.79/12.98 inference(modus_ponens,[status(thm)],[37098, 37097])).
% 17.79/12.98 tff(37100,plain,
% 17.79/12.98 (v164(constB178) <=> (~((~v130(constB178)) | (~v155(constB178))))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37099, 96])).
% 17.79/12.98 tff(37101,plain,
% 17.79/12.98 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB178) <=> (~((~v141(constB178)) | (~v143(constB178)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB178) <=> (~((~v141(constB178)) | (~v143(constB178))))))),
% 17.79/12.98 inference(rewrite,[status(thm)],[])).
% 17.79/12.98 tff(37102,plain,
% 17.79/12.98 ((v155(constB178) <=> (~((~v143(constB178)) | (~v141(constB178))))) <=> (v155(constB178) <=> (~((~v141(constB178)) | (~v143(constB178)))))),
% 17.79/12.98 inference(rewrite,[status(thm)],[])).
% 17.79/12.98 tff(37103,plain,
% 17.79/12.98 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB178) <=> (~((~v143(constB178)) | (~v141(constB178)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB178) <=> (~((~v141(constB178)) | (~v143(constB178))))))),
% 17.79/12.98 inference(monotonicity,[status(thm)],[37102])).
% 17.79/12.98 tff(37104,plain,
% 17.79/12.98 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB178) <=> (~((~v143(constB178)) | (~v141(constB178)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB178) <=> (~((~v141(constB178)) | (~v143(constB178))))))),
% 17.79/12.98 inference(transitivity,[status(thm)],[37103, 37101])).
% 17.79/12.98 tff(37105,plain,
% 17.79/12.98 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB178) <=> (~((~v143(constB178)) | (~v141(constB178)))))),
% 17.79/12.98 inference(quant_inst,[status(thm)],[])).
% 17.79/12.98 tff(37106,plain,
% 17.79/12.98 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB178) <=> (~((~v141(constB178)) | (~v143(constB178)))))),
% 17.79/12.98 inference(modus_ponens,[status(thm)],[37105, 37104])).
% 17.79/12.98 tff(37107,plain,
% 17.79/12.98 (v155(constB178) <=> (~((~v141(constB178)) | (~v143(constB178))))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37106, 113])).
% 17.79/12.98 tff(37108,plain,
% 17.79/12.98 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB178) <=> (~((~v39(constB178)) | (~v9(constB178)))))),
% 17.79/12.98 inference(quant_inst,[status(thm)],[])).
% 17.79/12.98 tff(37109,plain,
% 17.79/12.98 (v141(constB178) <=> (~((~v39(constB178)) | (~v9(constB178))))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37108, 130])).
% 17.79/12.98 tff(37110,plain,
% 17.79/12.98 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB178)) <=> v1(constB178))),
% 17.79/12.98 inference(quant_inst,[status(thm)],[])).
% 17.79/12.98 tff(37111,plain,
% 17.79/12.98 ((~v39(constB178)) <=> v1(constB178)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37110, 139])).
% 17.79/12.98 tff(37112,plain,
% 17.79/12.98 ((~((~v39(constB178)) <=> v1(constB178))) | (~v39(constB178)) | (~v1(constB178))),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37113,plain,
% 17.79/12.98 ((~((~v39(constB178)) <=> v1(constB178))) | (~v39(constB178))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37112, 24328])).
% 17.79/12.98 tff(37114,plain,
% 17.79/12.98 (~v39(constB178)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37113, 37111])).
% 17.79/12.98 tff(37115,plain,
% 17.79/12.98 (((~v39(constB178)) | (~v9(constB178))) | v39(constB178)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37116,plain,
% 17.79/12.98 ((~v39(constB178)) | (~v9(constB178))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37115, 37114])).
% 17.79/12.98 tff(37117,plain,
% 17.79/12.98 ((~(v141(constB178) <=> (~((~v39(constB178)) | (~v9(constB178)))))) | (~v141(constB178)) | (~((~v39(constB178)) | (~v9(constB178))))),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37118,plain,
% 17.79/12.98 ((~(v141(constB178) <=> (~((~v39(constB178)) | (~v9(constB178)))))) | (~v141(constB178))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37117, 37116])).
% 17.79/12.98 tff(37119,plain,
% 17.79/12.98 (~v141(constB178)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37118, 37109])).
% 17.79/12.98 tff(37120,plain,
% 17.79/12.98 (((~v141(constB178)) | (~v143(constB178))) | v141(constB178)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37121,plain,
% 17.79/12.98 ((~v141(constB178)) | (~v143(constB178))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37120, 37119])).
% 17.79/12.98 tff(37122,plain,
% 17.79/12.98 ((~(v155(constB178) <=> (~((~v141(constB178)) | (~v143(constB178)))))) | (~v155(constB178)) | (~((~v141(constB178)) | (~v143(constB178))))),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37123,plain,
% 17.79/12.98 ((~(v155(constB178) <=> (~((~v141(constB178)) | (~v143(constB178)))))) | (~v155(constB178))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37122, 37121])).
% 17.79/12.98 tff(37124,plain,
% 17.79/12.98 (~v155(constB178)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37123, 37107])).
% 17.79/12.98 tff(37125,plain,
% 17.79/12.98 (((~v130(constB178)) | (~v155(constB178))) | v155(constB178)),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37126,plain,
% 17.79/12.98 ((~v130(constB178)) | (~v155(constB178))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37125, 37124])).
% 17.79/12.98 tff(37127,plain,
% 17.79/12.98 ((~(v164(constB178) <=> (~((~v130(constB178)) | (~v155(constB178)))))) | (~v164(constB178)) | (~((~v130(constB178)) | (~v155(constB178))))),
% 17.79/12.98 inference(tautology,[status(thm)],[])).
% 17.79/12.98 tff(37128,plain,
% 17.79/12.98 (~v164(constB178)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37127, 37126, 37100])).
% 17.79/12.98 tff(37129,plain,
% 17.79/12.98 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB178) <=> (~((~v128(constB178)) | (~v139(constB178)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB178) <=> (~((~v128(constB178)) | (~v139(constB178))))))),
% 17.79/12.98 inference(rewrite,[status(thm)],[])).
% 17.79/12.98 tff(37130,plain,
% 17.79/12.98 ((v163(constB178) <=> (~((~v139(constB178)) | (~v128(constB178))))) <=> (v163(constB178) <=> (~((~v128(constB178)) | (~v139(constB178)))))),
% 17.79/12.98 inference(rewrite,[status(thm)],[])).
% 17.79/12.98 tff(37131,plain,
% 17.79/12.98 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB178) <=> (~((~v139(constB178)) | (~v128(constB178)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB178) <=> (~((~v128(constB178)) | (~v139(constB178))))))),
% 17.79/12.98 inference(monotonicity,[status(thm)],[37130])).
% 17.79/12.98 tff(37132,plain,
% 17.79/12.98 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB178) <=> (~((~v139(constB178)) | (~v128(constB178)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB178) <=> (~((~v128(constB178)) | (~v139(constB178))))))),
% 17.79/12.98 inference(transitivity,[status(thm)],[37131, 37129])).
% 17.79/12.98 tff(37133,plain,
% 17.79/12.98 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB178) <=> (~((~v139(constB178)) | (~v128(constB178)))))),
% 17.79/12.98 inference(quant_inst,[status(thm)],[])).
% 17.79/12.98 tff(37134,plain,
% 17.79/12.98 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB178) <=> (~((~v128(constB178)) | (~v139(constB178)))))),
% 17.79/12.98 inference(modus_ponens,[status(thm)],[37133, 37132])).
% 17.79/12.98 tff(37135,plain,
% 17.79/12.98 (v163(constB178) <=> (~((~v128(constB178)) | (~v139(constB178))))),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37134, 171])).
% 17.79/12.98 tff(37136,plain,
% 17.79/12.98 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB178) <=> v162(constB178))),
% 17.79/12.98 inference(quant_inst,[status(thm)],[])).
% 17.79/12.98 tff(37137,plain,
% 17.79/12.98 (v128(constB178) <=> v162(constB178)),
% 17.79/12.98 inference(unit_resolution,[status(thm)],[37136, 13])).
% 17.79/12.98 tff(37138,plain,
% 17.79/12.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB177, constB178)) | (v162(constB178) <=> v160(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB177, constB178)) | (v162(constB178) <=> v160(constB177)))),
% 17.79/12.99 inference(rewrite,[status(thm)],[])).
% 17.79/12.99 tff(37139,plain,
% 17.79/12.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB177, constB178)) | (v162(constB178) <=> v160(constB177)))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37140,plain,
% 17.79/12.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB177, constB178)) | (v162(constB178) <=> v160(constB177))),
% 17.79/12.99 inference(modus_ponens,[status(thm)],[37139, 37138])).
% 17.79/12.99 tff(37141,plain,
% 17.79/12.99 (v162(constB178) <=> v160(constB177)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37140, 22485, 70])).
% 17.79/12.99 tff(37142,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB177) <=> (v163(constB177) | v164(constB177)))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37143,plain,
% 17.79/12.99 (v160(constB177) <=> (v163(constB177) | v164(constB177))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37142, 84])).
% 17.79/12.99 tff(37144,plain,
% 17.79/12.99 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB177) <=> (~((~v128(constB177)) | (~v139(constB177)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB177) <=> (~((~v128(constB177)) | (~v139(constB177))))))),
% 17.79/12.99 inference(rewrite,[status(thm)],[])).
% 17.79/12.99 tff(37145,plain,
% 17.79/12.99 ((v163(constB177) <=> (~((~v139(constB177)) | (~v128(constB177))))) <=> (v163(constB177) <=> (~((~v128(constB177)) | (~v139(constB177)))))),
% 17.79/12.99 inference(rewrite,[status(thm)],[])).
% 17.79/12.99 tff(37146,plain,
% 17.79/12.99 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB177) <=> (~((~v139(constB177)) | (~v128(constB177)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB177) <=> (~((~v128(constB177)) | (~v139(constB177))))))),
% 17.79/12.99 inference(monotonicity,[status(thm)],[37145])).
% 17.79/12.99 tff(37147,plain,
% 17.79/12.99 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB177) <=> (~((~v139(constB177)) | (~v128(constB177)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB177) <=> (~((~v128(constB177)) | (~v139(constB177))))))),
% 17.79/12.99 inference(transitivity,[status(thm)],[37146, 37144])).
% 17.79/12.99 tff(37148,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB177) <=> (~((~v139(constB177)) | (~v128(constB177)))))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37149,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB177) <=> (~((~v128(constB177)) | (~v139(constB177)))))),
% 17.79/12.99 inference(modus_ponens,[status(thm)],[37148, 37147])).
% 17.79/12.99 tff(37150,plain,
% 17.79/12.99 (v163(constB177) <=> (~((~v128(constB177)) | (~v139(constB177))))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37149, 171])).
% 17.79/12.99 tff(37151,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB177)) <=> v140(constB177))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37152,plain,
% 17.79/12.99 ((~v139(constB177)) <=> v140(constB177)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37151, 203])).
% 17.79/12.99 tff(37153,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB177) <=> (v141(constB177) | v26(constB177)))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37154,plain,
% 17.79/12.99 (v140(constB177) <=> (v141(constB177) | v26(constB177))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37153, 212])).
% 17.79/12.99 tff(37155,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB177) <=> (~((~v39(constB177)) | (~v9(constB177)))))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37156,plain,
% 17.79/12.99 (v141(constB177) <=> (~((~v39(constB177)) | (~v9(constB177))))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37155, 130])).
% 17.79/12.99 tff(37157,plain,
% 17.79/12.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB177, constB178)) | (v13(constB178) <=> v9(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB177, constB178)) | (v13(constB178) <=> v9(constB177)))),
% 17.79/12.99 inference(rewrite,[status(thm)],[])).
% 17.79/12.99 tff(37158,plain,
% 17.79/12.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB177, constB178)) | (v13(constB178) <=> v9(constB177)))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37159,plain,
% 17.79/12.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB177, constB178)) | (v13(constB178) <=> v9(constB177))),
% 17.79/12.99 inference(modus_ponens,[status(thm)],[37158, 37157])).
% 17.79/12.99 tff(37160,plain,
% 17.79/12.99 (v13(constB178) <=> v9(constB177)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37159, 22485, 226])).
% 17.79/12.99 tff(37161,plain,
% 17.79/12.99 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB178) <=> v13(constB178))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37162,plain,
% 17.79/12.99 (v6(constB178) <=> v13(constB178)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37161, 240])).
% 17.79/12.99 tff(37163,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB178)) <=> v6(constB178))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37164,plain,
% 17.79/12.99 ((~v21(constB178)) <=> v6(constB178)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37163, 249])).
% 17.79/12.99 tff(37165,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB178) <=> (v20(constB178) | v21(constB178)))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37166,plain,
% 17.79/12.99 (v19(constB178) <=> (v20(constB178) | v21(constB178))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37165, 258])).
% 17.79/12.99 tff(37167,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB178) <=> (~((~v19(constB178)) | (~v22(constB178)))))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37168,plain,
% 17.79/12.99 (v18(constB178) <=> (~((~v19(constB178)) | (~v22(constB178))))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37167, 270])).
% 17.79/12.99 tff(37169,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB178)) <=> v18(constB178))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37170,plain,
% 17.79/12.99 ((~v4(constB178)) <=> v18(constB178)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37169, 279])).
% 17.79/12.99 tff(37171,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB178)),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37172,plain,
% 17.79/12.99 (v4(constB178)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37171, 288])).
% 17.79/12.99 tff(37173,plain,
% 17.79/12.99 ((~((~v4(constB178)) <=> v18(constB178))) | (~v4(constB178)) | (~v18(constB178))),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37174,plain,
% 17.79/12.99 (~v18(constB178)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37173, 37172, 37170])).
% 17.79/12.99 tff(37175,plain,
% 17.79/12.99 ((~(v18(constB178) <=> (~((~v19(constB178)) | (~v22(constB178)))))) | v18(constB178) | ((~v19(constB178)) | (~v22(constB178)))),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37176,plain,
% 17.79/12.99 ((~v19(constB178)) | (~v22(constB178))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37175, 37174, 37168])).
% 17.79/12.99 tff(37177,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB178) <=> (v1(constB178) | v6(constB178)))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37178,plain,
% 17.79/12.99 (v22(constB178) <=> (v1(constB178) | v6(constB178))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37177, 301])).
% 17.79/12.99 tff(37179,plain,
% 17.79/12.99 ((v1(constB178) | v6(constB178)) | (~v1(constB178))),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37180,plain,
% 17.79/12.99 (v1(constB178) | v6(constB178)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37179, 24328])).
% 17.79/12.99 tff(37181,plain,
% 17.79/12.99 ((~(v22(constB178) <=> (v1(constB178) | v6(constB178)))) | v22(constB178) | (~(v1(constB178) | v6(constB178)))),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37182,plain,
% 17.79/12.99 ((~(v22(constB178) <=> (v1(constB178) | v6(constB178)))) | v22(constB178)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37181, 37180])).
% 17.79/12.99 tff(37183,plain,
% 17.79/12.99 (v22(constB178)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37182, 37178])).
% 17.79/12.99 tff(37184,plain,
% 17.79/12.99 ((~((~v19(constB178)) | (~v22(constB178)))) | (~v19(constB178)) | (~v22(constB178))),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37185,plain,
% 17.79/12.99 ((~((~v19(constB178)) | (~v22(constB178)))) | (~v19(constB178))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37184, 37183])).
% 17.79/12.99 tff(37186,plain,
% 17.79/12.99 (~v19(constB178)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37185, 37176])).
% 17.79/12.99 tff(37187,plain,
% 17.79/12.99 ((~(v19(constB178) <=> (v20(constB178) | v21(constB178)))) | v19(constB178) | (~(v20(constB178) | v21(constB178)))),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37188,plain,
% 17.79/12.99 (~(v20(constB178) | v21(constB178))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37187, 37186, 37166])).
% 17.79/12.99 tff(37189,plain,
% 17.79/12.99 ((v20(constB178) | v21(constB178)) | (~v21(constB178))),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37190,plain,
% 17.79/12.99 (~v21(constB178)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37189, 37188])).
% 17.79/12.99 tff(37191,plain,
% 17.79/12.99 ((~((~v21(constB178)) <=> v6(constB178))) | v21(constB178) | v6(constB178)),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37192,plain,
% 17.79/12.99 (v6(constB178)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37191, 37190, 37164])).
% 17.79/12.99 tff(37193,plain,
% 17.79/12.99 ((~(v6(constB178) <=> v13(constB178))) | (~v6(constB178)) | v13(constB178)),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37194,plain,
% 17.79/12.99 (v13(constB178)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37193, 37192, 37162])).
% 17.79/12.99 tff(37195,plain,
% 17.79/12.99 ((~(v13(constB178) <=> v9(constB177))) | (~v13(constB178)) | v9(constB177)),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37196,plain,
% 17.79/12.99 (v9(constB177)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37195, 37194, 37160])).
% 17.79/12.99 tff(37197,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB177)) <=> v1(constB177))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37198,plain,
% 17.79/12.99 ((~v39(constB177)) <=> v1(constB177)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37197, 139])).
% 17.79/12.99 tff(37199,plain,
% 17.79/12.99 ((~((~v39(constB177)) <=> v1(constB177))) | v39(constB177) | v1(constB177)),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37200,plain,
% 17.79/12.99 ((~((~v39(constB177)) <=> v1(constB177))) | v39(constB177)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37199, 22524])).
% 17.79/12.99 tff(37201,plain,
% 17.79/12.99 (v39(constB177)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37200, 37198])).
% 17.79/12.99 tff(37202,plain,
% 17.79/12.99 ((~((~v39(constB177)) | (~v9(constB177)))) | (~v39(constB177)) | (~v9(constB177))),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37203,plain,
% 17.79/12.99 ((~((~v39(constB177)) | (~v9(constB177)))) | (~v9(constB177))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37202, 37201])).
% 17.79/12.99 tff(37204,plain,
% 17.79/12.99 (~((~v39(constB177)) | (~v9(constB177)))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37203, 37196])).
% 17.79/12.99 tff(37205,plain,
% 17.79/12.99 ((~(v141(constB177) <=> (~((~v39(constB177)) | (~v9(constB177)))))) | v141(constB177) | ((~v39(constB177)) | (~v9(constB177)))),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37206,plain,
% 17.79/12.99 (v141(constB177)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37205, 37204, 37156])).
% 17.79/12.99 tff(37207,plain,
% 17.79/12.99 ((v141(constB177) | v26(constB177)) | (~v141(constB177))),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37208,plain,
% 17.79/12.99 (v141(constB177) | v26(constB177)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37207, 37206])).
% 17.79/12.99 tff(37209,plain,
% 17.79/12.99 ((~(v140(constB177) <=> (v141(constB177) | v26(constB177)))) | v140(constB177) | (~(v141(constB177) | v26(constB177)))),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37210,plain,
% 17.79/12.99 (v140(constB177)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37209, 37208, 37154])).
% 17.79/12.99 tff(37211,plain,
% 17.79/12.99 ((~((~v139(constB177)) <=> v140(constB177))) | (~v139(constB177)) | (~v140(constB177))),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37212,plain,
% 17.79/12.99 (~v139(constB177)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37211, 37210, 37152])).
% 17.79/12.99 tff(37213,plain,
% 17.79/12.99 (((~v128(constB177)) | (~v139(constB177))) | v139(constB177)),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37214,plain,
% 17.79/12.99 ((~v128(constB177)) | (~v139(constB177))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37213, 37212])).
% 17.79/12.99 tff(37215,plain,
% 17.79/12.99 ((~(v163(constB177) <=> (~((~v128(constB177)) | (~v139(constB177)))))) | (~v163(constB177)) | (~((~v128(constB177)) | (~v139(constB177))))),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37216,plain,
% 17.79/12.99 (~v163(constB177)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37215, 37214, 37150])).
% 17.79/12.99 tff(37217,plain,
% 17.79/12.99 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB177) <=> (~((~v130(constB177)) | (~v155(constB177)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB177) <=> (~((~v130(constB177)) | (~v155(constB177))))))),
% 17.79/12.99 inference(rewrite,[status(thm)],[])).
% 17.79/12.99 tff(37218,plain,
% 17.79/12.99 ((v164(constB177) <=> (~((~v155(constB177)) | (~v130(constB177))))) <=> (v164(constB177) <=> (~((~v130(constB177)) | (~v155(constB177)))))),
% 17.79/12.99 inference(rewrite,[status(thm)],[])).
% 17.79/12.99 tff(37219,plain,
% 17.79/12.99 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB177) <=> (~((~v155(constB177)) | (~v130(constB177)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB177) <=> (~((~v130(constB177)) | (~v155(constB177))))))),
% 17.79/12.99 inference(monotonicity,[status(thm)],[37218])).
% 17.79/12.99 tff(37220,plain,
% 17.79/12.99 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB177) <=> (~((~v155(constB177)) | (~v130(constB177)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB177) <=> (~((~v130(constB177)) | (~v155(constB177))))))),
% 17.79/12.99 inference(transitivity,[status(thm)],[37219, 37217])).
% 17.79/12.99 tff(37221,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB177) <=> (~((~v155(constB177)) | (~v130(constB177)))))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37222,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB177) <=> (~((~v130(constB177)) | (~v155(constB177)))))),
% 17.79/12.99 inference(modus_ponens,[status(thm)],[37221, 37220])).
% 17.79/12.99 tff(37223,plain,
% 17.79/12.99 (v164(constB177) <=> (~((~v130(constB177)) | (~v155(constB177))))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37222, 96])).
% 17.79/12.99 tff(37224,plain,
% 17.79/12.99 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB177) <=> v152(constB177))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37225,plain,
% 17.79/12.99 (v130(constB177) <=> v152(constB177)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37224, 361])).
% 17.79/12.99 tff(37226,plain,
% 17.79/12.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB176, constB177)) | (v152(constB177) <=> v150(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB176, constB177)) | (v152(constB177) <=> v150(constB176)))),
% 17.79/12.99 inference(rewrite,[status(thm)],[])).
% 17.79/12.99 tff(37227,plain,
% 17.79/12.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB176, constB177)) | (v152(constB177) <=> v150(constB176)))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37228,plain,
% 17.79/12.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB176, constB177)) | (v152(constB177) <=> v150(constB176))),
% 17.79/12.99 inference(modus_ponens,[status(thm)],[37227, 37226])).
% 17.79/12.99 tff(37229,plain,
% 17.79/12.99 (v152(constB177) <=> v150(constB176)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37228, 22510, 373])).
% 17.79/12.99 tff(37230,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB176) <=> (v153(constB176) | v154(constB176)))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37231,plain,
% 17.79/12.99 (v150(constB176) <=> (v153(constB176) | v154(constB176))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37230, 387])).
% 17.79/12.99 tff(37232,plain,
% 17.79/12.99 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB176) <=> (~((~v132(constB176)) | (~v155(constB176)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB176) <=> (~((~v132(constB176)) | (~v155(constB176))))))),
% 17.79/12.99 inference(rewrite,[status(thm)],[])).
% 17.79/12.99 tff(37233,plain,
% 17.79/12.99 ((v154(constB176) <=> (~((~v155(constB176)) | (~v132(constB176))))) <=> (v154(constB176) <=> (~((~v132(constB176)) | (~v155(constB176)))))),
% 17.79/12.99 inference(rewrite,[status(thm)],[])).
% 17.79/12.99 tff(37234,plain,
% 17.79/12.99 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB176) <=> (~((~v155(constB176)) | (~v132(constB176)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB176) <=> (~((~v132(constB176)) | (~v155(constB176))))))),
% 17.79/12.99 inference(monotonicity,[status(thm)],[37233])).
% 17.79/12.99 tff(37235,plain,
% 17.79/12.99 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB176) <=> (~((~v155(constB176)) | (~v132(constB176)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB176) <=> (~((~v132(constB176)) | (~v155(constB176))))))),
% 17.79/12.99 inference(transitivity,[status(thm)],[37234, 37232])).
% 17.79/12.99 tff(37236,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB176) <=> (~((~v155(constB176)) | (~v132(constB176)))))),
% 17.79/12.99 inference(quant_inst,[status(thm)],[])).
% 17.79/12.99 tff(37237,plain,
% 17.79/12.99 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB176) <=> (~((~v132(constB176)) | (~v155(constB176)))))),
% 17.79/12.99 inference(modus_ponens,[status(thm)],[37236, 37235])).
% 17.79/12.99 tff(37238,plain,
% 17.79/12.99 (v154(constB176) <=> (~((~v132(constB176)) | (~v155(constB176))))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37237, 399])).
% 17.79/12.99 tff(37239,plain,
% 17.79/12.99 (((~v132(constB176)) | (~v155(constB176))) | v155(constB176)),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37240,plain,
% 17.79/12.99 ((~v132(constB176)) | (~v155(constB176))),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37239, 24836])).
% 17.79/12.99 tff(37241,plain,
% 17.79/12.99 ((~(v154(constB176) <=> (~((~v132(constB176)) | (~v155(constB176)))))) | (~v154(constB176)) | (~((~v132(constB176)) | (~v155(constB176))))),
% 17.79/12.99 inference(tautology,[status(thm)],[])).
% 17.79/12.99 tff(37242,plain,
% 17.79/12.99 (~v154(constB176)),
% 17.79/12.99 inference(unit_resolution,[status(thm)],[37241, 37240, 37238])).
% 17.79/12.99 tff(37243,plain,
% 17.79/12.99 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB176) <=> (~((~v130(constB176)) | (~v139(constB176)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB176) <=> (~((~v130(constB176)) | (~v139(constB176))))))),
% 17.79/12.99 inference(rewrite,[status(thm)],[])).
% 17.79/12.99 tff(37244,plain,
% 17.79/12.99 ((v153(constB176) <=> (~((~v139(constB176)) | (~v130(constB176))))) <=> (v153(constB176) <=> (~((~v130(constB176)) | (~v139(constB176)))))),
% 17.79/12.99 inference(rewrite,[status(thm)],[])).
% 17.79/12.99 tff(37245,plain,
% 17.79/12.99 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB176) <=> (~((~v139(constB176)) | (~v130(constB176)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB176) <=> (~((~v130(constB176)) | (~v139(constB176))))))),
% 17.79/12.99 inference(monotonicity,[status(thm)],[37244])).
% 17.79/13.00 tff(37246,plain,
% 17.79/13.00 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB176) <=> (~((~v139(constB176)) | (~v130(constB176)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB176) <=> (~((~v130(constB176)) | (~v139(constB176))))))),
% 17.79/13.00 inference(transitivity,[status(thm)],[37245, 37243])).
% 17.79/13.00 tff(37247,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB176) <=> (~((~v139(constB176)) | (~v130(constB176)))))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37248,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB176) <=> (~((~v130(constB176)) | (~v139(constB176)))))),
% 17.79/13.00 inference(modus_ponens,[status(thm)],[37247, 37246])).
% 17.79/13.00 tff(37249,plain,
% 17.79/13.00 (v153(constB176) <=> (~((~v130(constB176)) | (~v139(constB176))))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37248, 447])).
% 17.79/13.00 tff(37250,plain,
% 17.79/13.00 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB176) <=> v152(constB176))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37251,plain,
% 17.79/13.00 (v130(constB176) <=> v152(constB176)),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37250, 361])).
% 17.79/13.00 tff(37252,plain,
% 17.79/13.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB175, constB176)) | (v152(constB176) <=> v150(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB175, constB176)) | (v152(constB176) <=> v150(constB175)))),
% 17.79/13.00 inference(rewrite,[status(thm)],[])).
% 17.79/13.00 tff(37253,plain,
% 17.79/13.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB175, constB176)) | (v152(constB176) <=> v150(constB175)))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37254,plain,
% 17.79/13.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB175, constB176)) | (v152(constB176) <=> v150(constB175))),
% 17.79/13.00 inference(modus_ponens,[status(thm)],[37253, 37252])).
% 17.79/13.00 tff(37255,plain,
% 17.79/13.00 (v152(constB176) <=> v150(constB175)),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37254, 22546, 373])).
% 17.79/13.00 tff(37256,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB175) <=> (v153(constB175) | v154(constB175)))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37257,plain,
% 17.79/13.00 (v150(constB175) <=> (v153(constB175) | v154(constB175))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37256, 387])).
% 17.79/13.00 tff(37258,plain,
% 17.79/13.00 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB175) <=> (~((~v130(constB175)) | (~v139(constB175)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB175) <=> (~((~v130(constB175)) | (~v139(constB175))))))),
% 17.79/13.00 inference(rewrite,[status(thm)],[])).
% 17.79/13.00 tff(37259,plain,
% 17.79/13.00 ((v153(constB175) <=> (~((~v139(constB175)) | (~v130(constB175))))) <=> (v153(constB175) <=> (~((~v130(constB175)) | (~v139(constB175)))))),
% 17.79/13.00 inference(rewrite,[status(thm)],[])).
% 17.79/13.00 tff(37260,plain,
% 17.79/13.00 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB175) <=> (~((~v139(constB175)) | (~v130(constB175)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB175) <=> (~((~v130(constB175)) | (~v139(constB175))))))),
% 17.79/13.00 inference(monotonicity,[status(thm)],[37259])).
% 17.79/13.00 tff(37261,plain,
% 17.79/13.00 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB175) <=> (~((~v139(constB175)) | (~v130(constB175)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB175) <=> (~((~v130(constB175)) | (~v139(constB175))))))),
% 17.79/13.00 inference(transitivity,[status(thm)],[37260, 37258])).
% 17.79/13.00 tff(37262,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB175) <=> (~((~v139(constB175)) | (~v130(constB175)))))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37263,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB175) <=> (~((~v130(constB175)) | (~v139(constB175)))))),
% 17.79/13.00 inference(modus_ponens,[status(thm)],[37262, 37261])).
% 17.79/13.00 tff(37264,plain,
% 17.79/13.00 (v153(constB175) <=> (~((~v130(constB175)) | (~v139(constB175))))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37263, 447])).
% 17.79/13.00 tff(37265,plain,
% 17.79/13.00 (((~v130(constB175)) | (~v139(constB175))) | v139(constB175)),
% 17.79/13.00 inference(tautology,[status(thm)],[])).
% 17.79/13.00 tff(37266,plain,
% 17.79/13.00 ((~v130(constB175)) | (~v139(constB175))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37265, 24924])).
% 17.79/13.00 tff(37267,plain,
% 17.79/13.00 ((~(v153(constB175) <=> (~((~v130(constB175)) | (~v139(constB175)))))) | (~v153(constB175)) | (~((~v130(constB175)) | (~v139(constB175))))),
% 17.79/13.00 inference(tautology,[status(thm)],[])).
% 17.79/13.00 tff(37268,plain,
% 17.79/13.00 (~v153(constB175)),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37267, 37266, 37264])).
% 17.79/13.00 tff(37269,plain,
% 17.79/13.00 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB175) <=> (~((~v132(constB175)) | (~v155(constB175)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB175) <=> (~((~v132(constB175)) | (~v155(constB175))))))),
% 17.79/13.00 inference(rewrite,[status(thm)],[])).
% 17.79/13.00 tff(37270,plain,
% 17.79/13.00 ((v154(constB175) <=> (~((~v155(constB175)) | (~v132(constB175))))) <=> (v154(constB175) <=> (~((~v132(constB175)) | (~v155(constB175)))))),
% 17.79/13.00 inference(rewrite,[status(thm)],[])).
% 17.79/13.00 tff(37271,plain,
% 17.79/13.00 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB175) <=> (~((~v155(constB175)) | (~v132(constB175)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB175) <=> (~((~v132(constB175)) | (~v155(constB175))))))),
% 17.79/13.00 inference(monotonicity,[status(thm)],[37270])).
% 17.79/13.00 tff(37272,plain,
% 17.79/13.00 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB175) <=> (~((~v155(constB175)) | (~v132(constB175)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB175) <=> (~((~v132(constB175)) | (~v155(constB175))))))),
% 17.79/13.00 inference(transitivity,[status(thm)],[37271, 37269])).
% 17.79/13.00 tff(37273,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB175) <=> (~((~v155(constB175)) | (~v132(constB175)))))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37274,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB175) <=> (~((~v132(constB175)) | (~v155(constB175)))))),
% 17.79/13.00 inference(modus_ponens,[status(thm)],[37273, 37272])).
% 17.79/13.00 tff(37275,plain,
% 17.79/13.00 (v154(constB175) <=> (~((~v132(constB175)) | (~v155(constB175))))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37274, 399])).
% 17.79/13.00 tff(37276,plain,
% 17.79/13.00 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB175) <=> v137(constB175))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37277,plain,
% 17.79/13.00 (v132(constB175) <=> v137(constB175)),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37276, 558])).
% 17.79/13.00 tff(37278,plain,
% 17.79/13.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB174, constB175)) | (v137(constB175) <=> v135(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB174, constB175)) | (v137(constB175) <=> v135(constB174)))),
% 17.79/13.00 inference(rewrite,[status(thm)],[])).
% 17.79/13.00 tff(37279,plain,
% 17.79/13.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB174, constB175)) | (v137(constB175) <=> v135(constB174)))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37280,plain,
% 17.79/13.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB174, constB175)) | (v137(constB175) <=> v135(constB174))),
% 17.79/13.00 inference(modus_ponens,[status(thm)],[37279, 37278])).
% 17.79/13.00 tff(37281,plain,
% 17.79/13.00 (v137(constB175) <=> v135(constB174)),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37280, 22571, 570])).
% 17.79/13.00 tff(37282,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB174) <=> (v138(constB174) | v142(constB174)))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37283,plain,
% 17.79/13.00 (v135(constB174) <=> (v138(constB174) | v142(constB174))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37282, 584])).
% 17.79/13.00 tff(37284,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB174) <=> (~((~v143(constB174)) | (~v144(constB174)))))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37285,plain,
% 17.79/13.00 (v142(constB174) <=> (~((~v143(constB174)) | (~v144(constB174))))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37284, 596])).
% 17.79/13.00 tff(37286,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB174) <=> (~((~v141(constB174)) | (~v145(constB174)))))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37287,plain,
% 17.79/13.00 (v144(constB174) <=> (~((~v141(constB174)) | (~v145(constB174))))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37286, 608])).
% 17.79/13.00 tff(37288,plain,
% 17.79/13.00 (((~v141(constB174)) | (~v145(constB174))) | v141(constB174)),
% 17.79/13.00 inference(tautology,[status(thm)],[])).
% 17.79/13.00 tff(37289,plain,
% 17.79/13.00 ((~v141(constB174)) | (~v145(constB174))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37288, 24969])).
% 17.79/13.00 tff(37290,plain,
% 17.79/13.00 ((~(v144(constB174) <=> (~((~v141(constB174)) | (~v145(constB174)))))) | (~v144(constB174)) | (~((~v141(constB174)) | (~v145(constB174))))),
% 17.79/13.00 inference(tautology,[status(thm)],[])).
% 17.79/13.00 tff(37291,plain,
% 17.79/13.00 ((~(v144(constB174) <=> (~((~v141(constB174)) | (~v145(constB174)))))) | (~v144(constB174))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37290, 37289])).
% 17.79/13.00 tff(37292,plain,
% 17.79/13.00 (~v144(constB174)),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37291, 37287])).
% 17.79/13.00 tff(37293,plain,
% 17.79/13.00 (((~v143(constB174)) | (~v144(constB174))) | v144(constB174)),
% 17.79/13.00 inference(tautology,[status(thm)],[])).
% 17.79/13.00 tff(37294,plain,
% 17.79/13.00 ((~v143(constB174)) | (~v144(constB174))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37293, 37292])).
% 17.79/13.00 tff(37295,plain,
% 17.79/13.00 ((~(v142(constB174) <=> (~((~v143(constB174)) | (~v144(constB174)))))) | (~v142(constB174)) | (~((~v143(constB174)) | (~v144(constB174))))),
% 17.79/13.00 inference(tautology,[status(thm)],[])).
% 17.79/13.00 tff(37296,plain,
% 17.79/13.00 (~v142(constB174)),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37295, 37294, 37285])).
% 17.79/13.00 tff(37297,plain,
% 17.79/13.00 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB174) <=> (~((~v132(constB174)) | (~v139(constB174)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB174) <=> (~((~v132(constB174)) | (~v139(constB174))))))),
% 17.79/13.00 inference(rewrite,[status(thm)],[])).
% 17.79/13.00 tff(37298,plain,
% 17.79/13.00 ((v138(constB174) <=> (~((~v139(constB174)) | (~v132(constB174))))) <=> (v138(constB174) <=> (~((~v132(constB174)) | (~v139(constB174)))))),
% 17.79/13.00 inference(rewrite,[status(thm)],[])).
% 17.79/13.00 tff(37299,plain,
% 17.79/13.00 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB174) <=> (~((~v139(constB174)) | (~v132(constB174)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB174) <=> (~((~v132(constB174)) | (~v139(constB174))))))),
% 17.79/13.00 inference(monotonicity,[status(thm)],[37298])).
% 17.79/13.00 tff(37300,plain,
% 17.79/13.00 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB174) <=> (~((~v139(constB174)) | (~v132(constB174)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB174) <=> (~((~v132(constB174)) | (~v139(constB174))))))),
% 17.79/13.00 inference(transitivity,[status(thm)],[37299, 37297])).
% 17.79/13.00 tff(37301,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB174) <=> (~((~v139(constB174)) | (~v132(constB174)))))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37302,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB174) <=> (~((~v132(constB174)) | (~v139(constB174)))))),
% 17.79/13.00 inference(modus_ponens,[status(thm)],[37301, 37300])).
% 17.79/13.00 tff(37303,plain,
% 17.79/13.00 (v138(constB174) <=> (~((~v132(constB174)) | (~v139(constB174))))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37302, 644])).
% 17.79/13.00 tff(37304,plain,
% 17.79/13.00 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB174) <=> v137(constB174))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37305,plain,
% 17.79/13.00 (v132(constB174) <=> v137(constB174)),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37304, 558])).
% 17.79/13.00 tff(37306,plain,
% 17.79/13.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB173, constB174)) | (v137(constB174) <=> v135(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB173, constB174)) | (v137(constB174) <=> v135(constB173)))),
% 17.79/13.00 inference(rewrite,[status(thm)],[])).
% 17.79/13.00 tff(37307,plain,
% 17.79/13.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB173, constB174)) | (v137(constB174) <=> v135(constB173)))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37308,plain,
% 17.79/13.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB173, constB174)) | (v137(constB174) <=> v135(constB173))),
% 17.79/13.00 inference(modus_ponens,[status(thm)],[37307, 37306])).
% 17.79/13.00 tff(37309,plain,
% 17.79/13.00 (v137(constB174) <=> v135(constB173)),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37308, 22607, 570])).
% 17.79/13.00 tff(37310,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB173) <=> (v138(constB173) | v142(constB173)))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37311,plain,
% 17.79/13.00 (v135(constB173) <=> (v138(constB173) | v142(constB173))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37310, 584])).
% 17.79/13.00 tff(37312,plain,
% 17.79/13.00 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB173) <=> (~((~v132(constB173)) | (~v139(constB173)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB173) <=> (~((~v132(constB173)) | (~v139(constB173))))))),
% 17.79/13.00 inference(rewrite,[status(thm)],[])).
% 17.79/13.00 tff(37313,plain,
% 17.79/13.00 ((v138(constB173) <=> (~((~v139(constB173)) | (~v132(constB173))))) <=> (v138(constB173) <=> (~((~v132(constB173)) | (~v139(constB173)))))),
% 17.79/13.00 inference(rewrite,[status(thm)],[])).
% 17.79/13.00 tff(37314,plain,
% 17.79/13.00 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB173) <=> (~((~v139(constB173)) | (~v132(constB173)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB173) <=> (~((~v132(constB173)) | (~v139(constB173))))))),
% 17.79/13.00 inference(monotonicity,[status(thm)],[37313])).
% 17.79/13.00 tff(37315,plain,
% 17.79/13.00 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB173) <=> (~((~v139(constB173)) | (~v132(constB173)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB173) <=> (~((~v132(constB173)) | (~v139(constB173))))))),
% 17.79/13.00 inference(transitivity,[status(thm)],[37314, 37312])).
% 17.79/13.00 tff(37316,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB173) <=> (~((~v139(constB173)) | (~v132(constB173)))))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37317,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB173) <=> (~((~v132(constB173)) | (~v139(constB173)))))),
% 17.79/13.00 inference(modus_ponens,[status(thm)],[37316, 37315])).
% 17.79/13.00 tff(37318,plain,
% 17.79/13.00 (v138(constB173) <=> (~((~v132(constB173)) | (~v139(constB173))))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37317, 644])).
% 17.79/13.00 tff(37319,plain,
% 17.79/13.00 (((~v132(constB173)) | (~v139(constB173))) | v139(constB173)),
% 17.79/13.00 inference(tautology,[status(thm)],[])).
% 17.79/13.00 tff(37320,plain,
% 17.79/13.00 ((~v132(constB173)) | (~v139(constB173))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37319, 25062])).
% 17.79/13.00 tff(37321,plain,
% 17.79/13.00 ((~(v138(constB173) <=> (~((~v132(constB173)) | (~v139(constB173)))))) | (~v138(constB173)) | (~((~v132(constB173)) | (~v139(constB173))))),
% 17.79/13.00 inference(tautology,[status(thm)],[])).
% 17.79/13.00 tff(37322,plain,
% 17.79/13.00 (~v138(constB173)),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37321, 37320, 37318])).
% 17.79/13.00 tff(37323,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB173) <=> (~((~v143(constB173)) | (~v144(constB173)))))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37324,plain,
% 17.79/13.00 (v142(constB173) <=> (~((~v143(constB173)) | (~v144(constB173))))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37323, 596])).
% 17.79/13.00 tff(37325,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB173) <=> (~((~v141(constB173)) | (~v145(constB173)))))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37326,plain,
% 17.79/13.00 (v144(constB173) <=> (~((~v141(constB173)) | (~v145(constB173))))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37325, 608])).
% 17.79/13.00 tff(37327,plain,
% 17.79/13.00 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB173) <=> (~(v84(constB173, 1) | v84(constB173, 2) | (~v84(constB173, 0)))))),
% 17.79/13.00 inference(quant_inst,[status(thm)],[])).
% 17.79/13.00 tff(37328,plain,
% 17.79/13.00 (v145(constB173) <=> (~(v84(constB173, 1) | v84(constB173, 2) | (~v84(constB173, 0))))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37327, 755])).
% 17.79/13.00 tff(37329,plain,
% 17.79/13.00 ((v84(constB173, 1) | v84(constB173, 2) | (~v84(constB173, 0))) | (~v84(constB173, 2))),
% 17.79/13.00 inference(tautology,[status(thm)],[])).
% 17.79/13.00 tff(37330,plain,
% 17.79/13.00 (v84(constB173, 1) | v84(constB173, 2) | (~v84(constB173, 0))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37329, 23919])).
% 17.79/13.00 tff(37331,plain,
% 17.79/13.00 ((~(v145(constB173) <=> (~(v84(constB173, 1) | v84(constB173, 2) | (~v84(constB173, 0)))))) | (~v145(constB173)) | (~(v84(constB173, 1) | v84(constB173, 2) | (~v84(constB173, 0))))),
% 17.79/13.00 inference(tautology,[status(thm)],[])).
% 17.79/13.00 tff(37332,plain,
% 17.79/13.00 (~v145(constB173)),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37331, 37330, 37328])).
% 17.79/13.00 tff(37333,plain,
% 17.79/13.00 (((~v141(constB173)) | (~v145(constB173))) | v145(constB173)),
% 17.79/13.00 inference(tautology,[status(thm)],[])).
% 17.79/13.00 tff(37334,plain,
% 17.79/13.00 ((~v141(constB173)) | (~v145(constB173))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37333, 37332])).
% 17.79/13.00 tff(37335,plain,
% 17.79/13.00 ((~(v144(constB173) <=> (~((~v141(constB173)) | (~v145(constB173)))))) | (~v144(constB173)) | (~((~v141(constB173)) | (~v145(constB173))))),
% 17.79/13.00 inference(tautology,[status(thm)],[])).
% 17.79/13.00 tff(37336,plain,
% 17.79/13.00 (~v144(constB173)),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37335, 37334, 37326])).
% 17.79/13.00 tff(37337,plain,
% 17.79/13.00 (((~v143(constB173)) | (~v144(constB173))) | v144(constB173)),
% 17.79/13.00 inference(tautology,[status(thm)],[])).
% 17.79/13.00 tff(37338,plain,
% 17.79/13.00 ((~v143(constB173)) | (~v144(constB173))),
% 17.79/13.00 inference(unit_resolution,[status(thm)],[37337, 37336])).
% 17.79/13.00 tff(37339,plain,
% 17.79/13.00 ((~(v142(constB173) <=> (~((~v143(constB173)) | (~v144(constB173)))))) | (~v142(constB173)) | (~((~v143(constB173)) | (~v144(constB173))))),
% 17.79/13.00 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37340,plain,
% 17.79/13.01 (~v142(constB173)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37339, 37338, 37324])).
% 17.79/13.01 tff(37341,plain,
% 17.79/13.01 ((~(v138(constB173) | v142(constB173))) | v138(constB173) | v142(constB173)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37342,plain,
% 17.79/13.01 (~(v138(constB173) | v142(constB173))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37341, 37340, 37322])).
% 17.79/13.01 tff(37343,plain,
% 17.79/13.01 ((~(v135(constB173) <=> (v138(constB173) | v142(constB173)))) | (~v135(constB173)) | (v138(constB173) | v142(constB173))),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37344,plain,
% 17.79/13.01 (~v135(constB173)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37343, 37342, 37311])).
% 17.79/13.01 tff(37345,plain,
% 17.79/13.01 ((~(v137(constB174) <=> v135(constB173))) | (~v137(constB174)) | v135(constB173)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37346,plain,
% 17.79/13.01 (~v137(constB174)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37345, 37344, 37309])).
% 17.79/13.01 tff(37347,plain,
% 17.79/13.01 ((~(v132(constB174) <=> v137(constB174))) | (~v132(constB174)) | v137(constB174)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37348,plain,
% 17.79/13.01 (~v132(constB174)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37347, 37346, 37305])).
% 17.79/13.01 tff(37349,plain,
% 17.79/13.01 (((~v132(constB174)) | (~v139(constB174))) | v132(constB174)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37350,plain,
% 17.79/13.01 ((~v132(constB174)) | (~v139(constB174))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37349, 37348])).
% 17.79/13.01 tff(37351,plain,
% 17.79/13.01 ((~(v138(constB174) <=> (~((~v132(constB174)) | (~v139(constB174)))))) | (~v138(constB174)) | (~((~v132(constB174)) | (~v139(constB174))))),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37352,plain,
% 17.79/13.01 (~v138(constB174)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37351, 37350, 37303])).
% 17.79/13.01 tff(37353,plain,
% 17.79/13.01 ((~(v138(constB174) | v142(constB174))) | v138(constB174) | v142(constB174)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37354,plain,
% 17.79/13.01 (~(v138(constB174) | v142(constB174))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37353, 37352, 37296])).
% 17.79/13.01 tff(37355,plain,
% 17.79/13.01 ((~(v135(constB174) <=> (v138(constB174) | v142(constB174)))) | (~v135(constB174)) | (v138(constB174) | v142(constB174))),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37356,plain,
% 17.79/13.01 (~v135(constB174)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37355, 37354, 37283])).
% 17.79/13.01 tff(37357,plain,
% 17.79/13.01 ((~(v137(constB175) <=> v135(constB174))) | (~v137(constB175)) | v135(constB174)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37358,plain,
% 17.79/13.01 (~v137(constB175)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37357, 37356, 37281])).
% 17.79/13.01 tff(37359,plain,
% 17.79/13.01 ((~(v132(constB175) <=> v137(constB175))) | (~v132(constB175)) | v137(constB175)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37360,plain,
% 17.79/13.01 (~v132(constB175)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37359, 37358, 37277])).
% 17.79/13.01 tff(37361,plain,
% 17.79/13.01 (((~v132(constB175)) | (~v155(constB175))) | v132(constB175)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37362,plain,
% 17.79/13.01 ((~v132(constB175)) | (~v155(constB175))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37361, 37360])).
% 17.79/13.01 tff(37363,plain,
% 17.79/13.01 ((~(v154(constB175) <=> (~((~v132(constB175)) | (~v155(constB175)))))) | (~v154(constB175)) | (~((~v132(constB175)) | (~v155(constB175))))),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37364,plain,
% 17.79/13.01 (~v154(constB175)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37363, 37362, 37275])).
% 17.79/13.01 tff(37365,plain,
% 17.79/13.01 ((~(v153(constB175) | v154(constB175))) | v153(constB175) | v154(constB175)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37366,plain,
% 17.79/13.01 (~(v153(constB175) | v154(constB175))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37365, 37364, 37268])).
% 17.79/13.01 tff(37367,plain,
% 17.79/13.01 ((~(v150(constB175) <=> (v153(constB175) | v154(constB175)))) | (~v150(constB175)) | (v153(constB175) | v154(constB175))),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37368,plain,
% 17.79/13.01 (~v150(constB175)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37367, 37366, 37257])).
% 17.79/13.01 tff(37369,plain,
% 17.79/13.01 ((~(v152(constB176) <=> v150(constB175))) | (~v152(constB176)) | v150(constB175)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37370,plain,
% 17.79/13.01 (~v152(constB176)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37369, 37368, 37255])).
% 17.79/13.01 tff(37371,plain,
% 17.79/13.01 ((~(v130(constB176) <=> v152(constB176))) | (~v130(constB176)) | v152(constB176)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37372,plain,
% 17.79/13.01 (~v130(constB176)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37371, 37370, 37251])).
% 17.79/13.01 tff(37373,plain,
% 17.79/13.01 (((~v130(constB176)) | (~v139(constB176))) | v130(constB176)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37374,plain,
% 17.79/13.01 ((~v130(constB176)) | (~v139(constB176))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37373, 37372])).
% 17.79/13.01 tff(37375,plain,
% 17.79/13.01 ((~(v153(constB176) <=> (~((~v130(constB176)) | (~v139(constB176)))))) | (~v153(constB176)) | (~((~v130(constB176)) | (~v139(constB176))))),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37376,plain,
% 17.79/13.01 (~v153(constB176)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37375, 37374, 37249])).
% 17.79/13.01 tff(37377,plain,
% 17.79/13.01 ((~(v153(constB176) | v154(constB176))) | v153(constB176) | v154(constB176)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37378,plain,
% 17.79/13.01 (~(v153(constB176) | v154(constB176))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37377, 37376, 37242])).
% 17.79/13.01 tff(37379,plain,
% 17.79/13.01 ((~(v150(constB176) <=> (v153(constB176) | v154(constB176)))) | (~v150(constB176)) | (v153(constB176) | v154(constB176))),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37380,plain,
% 17.79/13.01 (~v150(constB176)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37379, 37378, 37231])).
% 17.79/13.01 tff(37381,plain,
% 17.79/13.01 ((~(v152(constB177) <=> v150(constB176))) | (~v152(constB177)) | v150(constB176)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37382,plain,
% 17.79/13.01 (~v152(constB177)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37381, 37380, 37229])).
% 17.79/13.01 tff(37383,plain,
% 17.79/13.01 ((~(v130(constB177) <=> v152(constB177))) | (~v130(constB177)) | v152(constB177)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37384,plain,
% 17.79/13.01 (~v130(constB177)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37383, 37382, 37225])).
% 17.79/13.01 tff(37385,plain,
% 17.79/13.01 (((~v130(constB177)) | (~v155(constB177))) | v130(constB177)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37386,plain,
% 17.79/13.01 ((~v130(constB177)) | (~v155(constB177))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37385, 37384])).
% 17.79/13.01 tff(37387,plain,
% 17.79/13.01 ((~(v164(constB177) <=> (~((~v130(constB177)) | (~v155(constB177)))))) | (~v164(constB177)) | (~((~v130(constB177)) | (~v155(constB177))))),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37388,plain,
% 17.79/13.01 (~v164(constB177)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37387, 37386, 37223])).
% 17.79/13.01 tff(37389,plain,
% 17.79/13.01 ((~(v163(constB177) | v164(constB177))) | v163(constB177) | v164(constB177)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37390,plain,
% 17.79/13.01 (~(v163(constB177) | v164(constB177))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37389, 37388, 37216])).
% 17.79/13.01 tff(37391,plain,
% 17.79/13.01 ((~(v160(constB177) <=> (v163(constB177) | v164(constB177)))) | (~v160(constB177)) | (v163(constB177) | v164(constB177))),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37392,plain,
% 17.79/13.01 (~v160(constB177)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37391, 37390, 37143])).
% 17.79/13.01 tff(37393,plain,
% 17.79/13.01 ((~(v162(constB178) <=> v160(constB177))) | (~v162(constB178)) | v160(constB177)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37394,plain,
% 17.79/13.01 (~v162(constB178)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37393, 37392, 37141])).
% 17.79/13.01 tff(37395,plain,
% 17.79/13.01 ((~(v128(constB178) <=> v162(constB178))) | (~v128(constB178)) | v162(constB178)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37396,plain,
% 17.79/13.01 (~v128(constB178)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37395, 37394, 37137])).
% 17.79/13.01 tff(37397,plain,
% 17.79/13.01 (((~v128(constB178)) | (~v139(constB178))) | v128(constB178)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37398,plain,
% 17.79/13.01 ((~v128(constB178)) | (~v139(constB178))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37397, 37396])).
% 17.79/13.01 tff(37399,plain,
% 17.79/13.01 ((~(v163(constB178) <=> (~((~v128(constB178)) | (~v139(constB178)))))) | (~v163(constB178)) | (~((~v128(constB178)) | (~v139(constB178))))),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37400,plain,
% 17.79/13.01 (~v163(constB178)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37399, 37398, 37135])).
% 17.79/13.01 tff(37401,plain,
% 17.79/13.01 ((~(v163(constB178) | v164(constB178))) | v163(constB178) | v164(constB178)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37402,plain,
% 17.79/13.01 (~(v163(constB178) | v164(constB178))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37401, 37400, 37128])).
% 17.79/13.01 tff(37403,plain,
% 17.79/13.01 ((~(v160(constB178) <=> (v163(constB178) | v164(constB178)))) | (~v160(constB178)) | (v163(constB178) | v164(constB178))),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37404,plain,
% 17.79/13.01 (~v160(constB178)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37403, 37402, 37093])).
% 17.79/13.01 tff(37405,plain,
% 17.79/13.01 ((~(v162(constB179) <=> v160(constB178))) | (~v162(constB179)) | v160(constB178)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37406,plain,
% 17.79/13.01 (~v162(constB179)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37405, 37404, 37091])).
% 17.79/13.01 tff(37407,plain,
% 17.79/13.01 ($false),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37406, 37087])).
% 17.79/13.01 tff(37408,plain,(~(constB179 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.79/13.01 tff(37409,assumption,(constB43 = VarCurr!0), introduced(assumption)).
% 17.79/13.01 tff(37410,plain,
% 17.79/13.01 (v172(constB43) <=> v172(VarCurr!0)),
% 17.79/13.01 inference(monotonicity,[status(thm)],[37409])).
% 17.79/13.01 tff(37411,plain,
% 17.79/13.01 (v172(VarCurr!0) <=> v172(constB43)),
% 17.79/13.01 inference(symmetry,[status(thm)],[37410])).
% 17.79/13.01 tff(37412,plain,
% 17.79/13.01 ((~v172(VarCurr!0)) <=> (~v172(constB43))),
% 17.79/13.01 inference(monotonicity,[status(thm)],[37411])).
% 17.79/13.01 tff(37413,plain,
% 17.79/13.01 (^[VarCurr: state_type] : refl(((~v171(VarCurr)) <=> v172(VarCurr)) <=> ((~v171(VarCurr)) <=> v172(VarCurr)))),
% 17.79/13.01 inference(bind,[status(th)],[])).
% 17.79/13.01 tff(37414,plain,
% 17.79/13.01 (![VarCurr: state_type] : ((~v171(VarCurr)) <=> v172(VarCurr)) <=> ![VarCurr: state_type] : ((~v171(VarCurr)) <=> v172(VarCurr))),
% 17.79/13.01 inference(quant_intro,[status(thm)],[37413])).
% 17.79/13.01 tff(37415,plain,
% 17.79/13.01 (![VarCurr: state_type] : ((~v171(VarCurr)) <=> v172(VarCurr)) <=> ![VarCurr: state_type] : ((~v171(VarCurr)) <=> v172(VarCurr))),
% 17.79/13.01 inference(rewrite,[status(thm)],[])).
% 17.79/13.01 tff(37416,axiom,(![VarCurr: state_type] : ((~v171(VarCurr)) <=> v172(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_16')).
% 17.79/13.01 tff(37417,plain,
% 17.79/13.01 (![VarCurr: state_type] : ((~v171(VarCurr)) <=> v172(VarCurr))),
% 17.79/13.01 inference(modus_ponens,[status(thm)],[37416, 37415])).
% 17.79/13.01 tff(37418,plain,(
% 17.79/13.01 ![VarCurr: state_type] : ((~v171(VarCurr)) <=> v172(VarCurr))),
% 17.79/13.01 inference(skolemize,[status(sab)],[37417])).
% 17.79/13.01 tff(37419,plain,
% 17.79/13.01 (![VarCurr: state_type] : ((~v171(VarCurr)) <=> v172(VarCurr))),
% 17.79/13.01 inference(modus_ponens,[status(thm)],[37418, 37414])).
% 17.79/13.01 tff(37420,plain,
% 17.79/13.01 ((~![VarCurr: state_type] : ((~v171(VarCurr)) <=> v172(VarCurr))) | ((~v171(VarCurr!0)) <=> v172(VarCurr!0))),
% 17.79/13.01 inference(quant_inst,[status(thm)],[])).
% 17.79/13.01 tff(37421,plain,
% 17.79/13.01 ((~v171(VarCurr!0)) <=> v172(VarCurr!0)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37420, 37419])).
% 17.79/13.01 tff(37422,plain,
% 17.79/13.01 (^[VarCurr: state_type] : refl((v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr))))) <=> (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr))))))),
% 17.79/13.01 inference(bind,[status(th)],[])).
% 17.79/13.01 tff(37423,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr))))) <=> ![VarCurr: state_type] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))),
% 17.79/13.01 inference(quant_intro,[status(thm)],[37422])).
% 17.79/13.01 tff(37424,plain,
% 17.79/13.01 (^[VarCurr: state_type] : rewrite((v170(VarCurr) <=> (v171(VarCurr) & v141(VarCurr))) <=> (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr))))))),
% 17.79/13.01 inference(bind,[status(th)],[])).
% 17.79/13.01 tff(37425,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v170(VarCurr) <=> (v171(VarCurr) & v141(VarCurr))) <=> ![VarCurr: state_type] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))),
% 17.79/13.01 inference(quant_intro,[status(thm)],[37424])).
% 17.79/13.01 tff(37426,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v170(VarCurr) <=> (v171(VarCurr) & v141(VarCurr))) <=> ![VarCurr: state_type] : (v170(VarCurr) <=> (v171(VarCurr) & v141(VarCurr)))),
% 17.79/13.01 inference(rewrite,[status(thm)],[])).
% 17.79/13.01 tff(37427,axiom,(![VarCurr: state_type] : (v170(VarCurr) <=> (v171(VarCurr) & v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_41')).
% 17.79/13.01 tff(37428,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v170(VarCurr) <=> (v171(VarCurr) & v141(VarCurr)))),
% 17.79/13.01 inference(modus_ponens,[status(thm)],[37427, 37426])).
% 17.79/13.01 tff(37429,plain,(
% 17.79/13.01 ![VarCurr: state_type] : (v170(VarCurr) <=> (v171(VarCurr) & v141(VarCurr)))),
% 17.79/13.01 inference(skolemize,[status(sab)],[37428])).
% 17.79/13.01 tff(37430,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))),
% 17.79/13.01 inference(modus_ponens,[status(thm)],[37429, 37425])).
% 17.79/13.01 tff(37431,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))),
% 17.79/13.01 inference(modus_ponens,[status(thm)],[37430, 37423])).
% 17.79/13.01 tff(37432,plain,
% 17.79/13.01 ((~![VarCurr: state_type] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(VarCurr!0) <=> (~((~v171(VarCurr!0)) | (~v141(VarCurr!0)))))),
% 17.79/13.01 inference(quant_inst,[status(thm)],[])).
% 17.79/13.01 tff(37433,plain,
% 17.79/13.01 (v170(VarCurr!0) <=> (~((~v171(VarCurr!0)) | (~v141(VarCurr!0))))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37432, 37431])).
% 17.79/13.01 tff(37434,plain,
% 17.79/13.01 (^[VarCurr: state_type] : refl((v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr))))) <=> (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr))))))),
% 17.79/13.01 inference(bind,[status(th)],[])).
% 17.79/13.01 tff(37435,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr))))) <=> ![VarCurr: state_type] : (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr)))))),
% 17.79/13.01 inference(quant_intro,[status(thm)],[37434])).
% 17.79/13.01 tff(37436,plain,
% 17.79/13.01 (^[VarCurr: state_type] : rewrite((v169(VarCurr) <=> (v143(VarCurr) & v170(VarCurr))) <=> (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr))))))),
% 17.79/13.01 inference(bind,[status(th)],[])).
% 17.79/13.01 tff(37437,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v169(VarCurr) <=> (v143(VarCurr) & v170(VarCurr))) <=> ![VarCurr: state_type] : (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr)))))),
% 17.79/13.01 inference(quant_intro,[status(thm)],[37436])).
% 17.79/13.01 tff(37438,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v169(VarCurr) <=> (v143(VarCurr) & v170(VarCurr))) <=> ![VarCurr: state_type] : (v169(VarCurr) <=> (v143(VarCurr) & v170(VarCurr)))),
% 17.79/13.01 inference(rewrite,[status(thm)],[])).
% 17.79/13.01 tff(37439,axiom,(![VarCurr: state_type] : (v169(VarCurr) <=> (v143(VarCurr) & v170(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42')).
% 17.79/13.01 tff(37440,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v169(VarCurr) <=> (v143(VarCurr) & v170(VarCurr)))),
% 17.79/13.01 inference(modus_ponens,[status(thm)],[37439, 37438])).
% 17.79/13.01 tff(37441,plain,(
% 17.79/13.01 ![VarCurr: state_type] : (v169(VarCurr) <=> (v143(VarCurr) & v170(VarCurr)))),
% 17.79/13.01 inference(skolemize,[status(sab)],[37440])).
% 17.79/13.01 tff(37442,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr)))))),
% 17.79/13.01 inference(modus_ponens,[status(thm)],[37441, 37437])).
% 17.79/13.01 tff(37443,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr)))))),
% 17.79/13.01 inference(modus_ponens,[status(thm)],[37442, 37435])).
% 17.79/13.01 tff(37444,plain,
% 17.79/13.01 ((~![VarCurr: state_type] : (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr)))))) | (v169(VarCurr!0) <=> (~((~v143(VarCurr!0)) | (~v170(VarCurr!0)))))),
% 17.79/13.01 inference(quant_inst,[status(thm)],[])).
% 17.79/13.01 tff(37445,plain,
% 17.79/13.01 (v169(VarCurr!0) <=> (~((~v143(VarCurr!0)) | (~v170(VarCurr!0))))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37444, 37443])).
% 17.79/13.01 tff(37446,plain,
% 17.79/13.01 (((~v169(VarCurr!0)) | (~v128(VarCurr!0))) | v169(VarCurr!0)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37447,plain,
% 17.79/13.01 (v169(VarCurr!0)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37446, 54])).
% 17.79/13.01 tff(37448,plain,
% 17.79/13.01 ((~(v169(VarCurr!0) <=> (~((~v143(VarCurr!0)) | (~v170(VarCurr!0)))))) | (~v169(VarCurr!0)) | (~((~v143(VarCurr!0)) | (~v170(VarCurr!0))))),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37449,plain,
% 17.79/13.01 ((~(v169(VarCurr!0) <=> (~((~v143(VarCurr!0)) | (~v170(VarCurr!0)))))) | (~((~v143(VarCurr!0)) | (~v170(VarCurr!0))))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37448, 37447])).
% 17.79/13.01 tff(37450,plain,
% 17.79/13.01 (~((~v143(VarCurr!0)) | (~v170(VarCurr!0)))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37449, 37445])).
% 17.79/13.01 tff(37451,plain,
% 17.79/13.01 (((~v143(VarCurr!0)) | (~v170(VarCurr!0))) | v170(VarCurr!0)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37452,plain,
% 17.79/13.01 (v170(VarCurr!0)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37451, 37450])).
% 17.79/13.01 tff(37453,plain,
% 17.79/13.01 ((~(v170(VarCurr!0) <=> (~((~v171(VarCurr!0)) | (~v141(VarCurr!0)))))) | (~v170(VarCurr!0)) | (~((~v171(VarCurr!0)) | (~v141(VarCurr!0))))),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37454,plain,
% 17.79/13.01 ((~(v170(VarCurr!0) <=> (~((~v171(VarCurr!0)) | (~v141(VarCurr!0)))))) | (~((~v171(VarCurr!0)) | (~v141(VarCurr!0))))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37453, 37452])).
% 17.79/13.01 tff(37455,plain,
% 17.79/13.01 (~((~v171(VarCurr!0)) | (~v141(VarCurr!0)))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37454, 37433])).
% 17.79/13.01 tff(37456,plain,
% 17.79/13.01 (((~v171(VarCurr!0)) | (~v141(VarCurr!0))) | v171(VarCurr!0)),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37457,plain,
% 17.79/13.01 (v171(VarCurr!0)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37456, 37455])).
% 17.79/13.01 tff(37458,plain,
% 17.79/13.01 ((~((~v171(VarCurr!0)) <=> v172(VarCurr!0))) | (~v171(VarCurr!0)) | (~v172(VarCurr!0))),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37459,plain,
% 17.79/13.01 ((~((~v171(VarCurr!0)) <=> v172(VarCurr!0))) | (~v172(VarCurr!0))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37458, 37457])).
% 17.79/13.01 tff(37460,plain,
% 17.79/13.01 (~v172(VarCurr!0)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37459, 37421])).
% 17.79/13.01 tff(37461,plain,
% 17.79/13.01 (~v172(constB43)),
% 17.79/13.01 inference(modus_ponens,[status(thm)],[37460, 37412])).
% 17.79/13.01 tff(37462,plain,
% 17.79/13.01 (^[VarCurr: state_type] : refl((v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2))))) <=> (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2))))))),
% 17.79/13.01 inference(bind,[status(th)],[])).
% 17.79/13.01 tff(37463,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2))))) <=> ![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))),
% 17.79/13.01 inference(quant_intro,[status(thm)],[37462])).
% 17.79/13.01 tff(37464,plain,
% 17.79/13.01 (^[VarCurr: state_type] : rewrite((v172(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))) <=> (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2))))))),
% 17.79/13.01 inference(bind,[status(th)],[])).
% 17.79/13.01 tff(37465,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v172(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))),
% 17.79/13.01 inference(quant_intro,[status(thm)],[37464])).
% 17.79/13.01 tff(37466,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v172(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))) <=> ![VarCurr: state_type] : (v172(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 17.79/13.01 inference(rewrite,[status(thm)],[])).
% 17.79/13.01 tff(37467,plain,
% 17.79/13.01 (^[VarCurr: state_type] : rewrite((v172(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $false))) <=> (v172(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0)))))),
% 17.79/13.01 inference(bind,[status(th)],[])).
% 17.79/13.01 tff(37468,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v172(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $false))) <=> ![VarCurr: state_type] : (v172(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 17.79/13.01 inference(quant_intro,[status(thm)],[37467])).
% 17.79/13.01 tff(37469,axiom,(![VarCurr: state_type] : (v172(VarCurr) <=> (((v84(VarCurr, 2) <=> $true) & (v84(VarCurr, 1) <=> $false)) & (v84(VarCurr, 0) <=> $false)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10')).
% 17.79/13.01 tff(37470,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v172(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 17.79/13.01 inference(modus_ponens,[status(thm)],[37469, 37468])).
% 17.79/13.01 tff(37471,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v172(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 17.79/13.01 inference(modus_ponens,[status(thm)],[37470, 37466])).
% 17.79/13.01 tff(37472,plain,(
% 17.79/13.01 ![VarCurr: state_type] : (v172(VarCurr) <=> (v84(VarCurr, 2) & (~v84(VarCurr, 1)) & (~v84(VarCurr, 0))))),
% 17.79/13.01 inference(skolemize,[status(sab)],[37471])).
% 17.79/13.01 tff(37473,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))),
% 17.79/13.01 inference(modus_ponens,[status(thm)],[37472, 37465])).
% 17.79/13.01 tff(37474,plain,
% 17.79/13.01 (![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))),
% 17.79/13.01 inference(modus_ponens,[status(thm)],[37473, 37463])).
% 17.79/13.01 tff(37475,plain,
% 17.79/13.01 (((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2)))))) <=> ((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2))))))),
% 17.79/13.01 inference(rewrite,[status(thm)],[])).
% 17.79/13.01 tff(37476,plain,
% 17.79/13.01 ((v172(constB43) <=> (~(v84(constB43, 0) | v84(constB43, 1) | (~v84(constB43, 2))))) <=> (v172(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2)))))),
% 17.79/13.01 inference(rewrite,[status(thm)],[])).
% 17.79/13.01 tff(37477,plain,
% 17.79/13.01 (((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB43) <=> (~(v84(constB43, 0) | v84(constB43, 1) | (~v84(constB43, 2)))))) <=> ((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2))))))),
% 17.79/13.01 inference(monotonicity,[status(thm)],[37476])).
% 17.79/13.01 tff(37478,plain,
% 17.79/13.01 (((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB43) <=> (~(v84(constB43, 0) | v84(constB43, 1) | (~v84(constB43, 2)))))) <=> ((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2))))))),
% 17.79/13.01 inference(transitivity,[status(thm)],[37477, 37475])).
% 17.79/13.01 tff(37479,plain,
% 17.79/13.01 ((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB43) <=> (~(v84(constB43, 0) | v84(constB43, 1) | (~v84(constB43, 2)))))),
% 17.79/13.01 inference(quant_inst,[status(thm)],[])).
% 17.79/13.01 tff(37480,plain,
% 17.79/13.01 ((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2)))))),
% 17.79/13.01 inference(modus_ponens,[status(thm)],[37479, 37478])).
% 17.79/13.01 tff(37481,plain,
% 17.79/13.01 (v172(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2))))),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37480, 37474])).
% 17.79/13.01 tff(37482,plain,
% 17.79/13.01 ((~(v172(constB43) <=> (~(v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2)))))) | v172(constB43) | (v84(constB43, 1) | v84(constB43, 0) | (~v84(constB43, 2)))),
% 17.79/13.01 inference(tautology,[status(thm)],[])).
% 17.79/13.01 tff(37483,plain,
% 17.79/13.01 (v172(constB43)),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37482, 8161, 37481])).
% 17.79/13.01 tff(37484,plain,
% 17.79/13.01 ($false),
% 17.79/13.01 inference(unit_resolution,[status(thm)],[37483, 37461])).
% 17.79/13.01 tff(37485,plain,(~(constB43 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.79/13.01 tff(37486,assumption,(constB63 = VarCurr!0), introduced(assumption)).
% 17.79/13.01 tff(37487,plain,
% 17.79/13.01 (v172(constB63) <=> v172(VarCurr!0)),
% 17.79/13.01 inference(monotonicity,[status(thm)],[37486])).
% 17.79/13.01 tff(37488,plain,
% 17.79/13.01 (v172(VarCurr!0) <=> v172(constB63)),
% 17.79/13.02 inference(symmetry,[status(thm)],[37487])).
% 17.79/13.02 tff(37489,plain,
% 17.79/13.02 ((~v172(VarCurr!0)) <=> (~v172(constB63))),
% 17.79/13.02 inference(monotonicity,[status(thm)],[37488])).
% 17.79/13.02 tff(37490,plain,
% 17.79/13.02 (~v172(constB63)),
% 17.79/13.02 inference(modus_ponens,[status(thm)],[37460, 37489])).
% 17.79/13.02 tff(37491,plain,
% 17.79/13.02 (((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))))) <=> ((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))))),
% 17.79/13.02 inference(rewrite,[status(thm)],[])).
% 17.79/13.02 tff(37492,plain,
% 17.79/13.02 ((v172(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | (~v84(constB63, 2))))) <=> (v172(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))))),
% 17.79/13.02 inference(rewrite,[status(thm)],[])).
% 17.79/13.02 tff(37493,plain,
% 17.79/13.02 (((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | (~v84(constB63, 2)))))) <=> ((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37492])).
% 17.88/13.02 tff(37494,plain,
% 17.88/13.02 (((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | (~v84(constB63, 2)))))) <=> ((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))))),
% 17.88/13.02 inference(transitivity,[status(thm)],[37493, 37491])).
% 17.88/13.02 tff(37495,plain,
% 17.88/13.02 ((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB63) <=> (~(v84(constB63, 0) | v84(constB63, 1) | (~v84(constB63, 2)))))),
% 17.88/13.02 inference(quant_inst,[status(thm)],[])).
% 17.88/13.02 tff(37496,plain,
% 17.88/13.02 ((~![VarCurr: state_type] : (v172(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v172(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))))),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37495, 37494])).
% 17.88/13.02 tff(37497,plain,
% 17.88/13.02 (v172(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2))))),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37496, 37474])).
% 17.88/13.02 tff(37498,plain,
% 17.88/13.02 ((~(v172(constB63) <=> (~(v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))))) | v172(constB63) | (v84(constB63, 1) | v84(constB63, 0) | (~v84(constB63, 2)))),
% 17.88/13.02 inference(tautology,[status(thm)],[])).
% 17.88/13.02 tff(37499,plain,
% 17.88/13.02 (v172(constB63)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37498, 9741, 37497])).
% 17.88/13.02 tff(37500,plain,
% 17.88/13.02 ($false),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37499, 37490])).
% 17.88/13.02 tff(37501,plain,(~(constB63 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.02 tff(37502,assumption,(~v121(VarCurr!0, 2)), introduced(assumption)).
% 17.88/13.02 tff(37503,assumption,(constB23 = VarCurr!0), introduced(assumption)).
% 17.88/13.02 tff(37504,plain,
% 17.88/13.02 (v121(constB23, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37503])).
% 17.88/13.02 tff(37505,plain,
% 17.88/13.02 (v121(VarCurr!0, 2) <=> v121(constB23, 2)),
% 17.88/13.02 inference(symmetry,[status(thm)],[37504])).
% 17.88/13.02 tff(37506,plain,
% 17.88/13.02 ((~v121(VarCurr!0, 2)) <=> (~v121(constB23, 2))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37505])).
% 17.88/13.02 tff(37507,plain,
% 17.88/13.02 (~v121(constB23, 2)),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37502, 37506])).
% 17.88/13.02 tff(37508,plain,
% 17.88/13.02 ($false),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[4260, 37507])).
% 17.88/13.02 tff(37509,plain,((~(constB23 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.02 tff(37510,plain,
% 17.88/13.02 (~(constB23 = VarCurr!0)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37509, 37502])).
% 17.88/13.02 tff(37511,assumption,(~(constB49 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37512,assumption,(~(constB27 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37513,assumption,(~(constB107 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37514,assumption,(~(constB43 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37515,assumption,(~(constB9 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37516,assumption,(~(constB97 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37517,assumption,(~(constB167 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37518,assumption,(~(constB63 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37519,assumption,(~(constB7 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37520,assumption,(~(constB179 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37521,assumption,(~(constB59 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37522,assumption,(~(constB189 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37523,assumption,(~(constB169 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37524,assumption,(~(constB139 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37525,assumption,(~(constB177 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37526,assumption,(~(constB79 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37527,assumption,(~(constB137 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37528,assumption,(~(constB129 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37529,assumption,(~(constB57 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37530,assumption,(~(constB109 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37531,assumption,(~(constB127 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37532,assumption,(~(constB99 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37533,assumption,(~(constB67 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37534,assumption,(~(constB119 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37535,assumption,(~(constB159 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37536,assumption,(~(constB187 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37537,assumption,(constB173 = VarCurr!0), introduced(assumption)).
% 17.88/13.02 tff(37538,plain,
% 17.88/13.02 (v121(constB173, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37537])).
% 17.88/13.02 tff(37539,plain,
% 17.88/13.02 (v121(VarCurr!0, 2) <=> v121(constB173, 2)),
% 17.88/13.02 inference(symmetry,[status(thm)],[37538])).
% 17.88/13.02 tff(37540,plain,
% 17.88/13.02 ((~v121(VarCurr!0, 2)) <=> (~v121(constB173, 2))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37539])).
% 17.88/13.02 tff(37541,plain,
% 17.88/13.02 (~v121(constB173, 2)),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37502, 37540])).
% 17.88/13.02 tff(37542,plain,
% 17.88/13.02 ($false),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[24129, 37541])).
% 17.88/13.02 tff(37543,plain,((~(constB173 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.02 tff(37544,plain,
% 17.88/13.02 (~(constB173 = VarCurr!0)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37543, 37502])).
% 17.88/13.02 tff(37545,assumption,(constB71 = VarCurr!0), introduced(assumption)).
% 17.88/13.02 tff(37546,plain,
% 17.88/13.02 (v121(constB71, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37545])).
% 17.88/13.02 tff(37547,plain,
% 17.88/13.02 (v121(VarCurr!0, 2) <=> v121(constB71, 2)),
% 17.88/13.02 inference(symmetry,[status(thm)],[37546])).
% 17.88/13.02 tff(37548,plain,
% 17.88/13.02 ((~v121(VarCurr!0, 2)) <=> (~v121(constB71, 2))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37547])).
% 17.88/13.02 tff(37549,plain,
% 17.88/13.02 (~v121(constB71, 2)),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37502, 37548])).
% 17.88/13.02 tff(37550,plain,
% 17.88/13.02 ($false),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[10399, 37549])).
% 17.88/13.02 tff(37551,plain,((~(constB71 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.02 tff(37552,plain,
% 17.88/13.02 (~(constB71 = VarCurr!0)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37551, 37502])).
% 17.88/13.02 tff(37553,assumption,(constB73 = VarCurr!0), introduced(assumption)).
% 17.88/13.02 tff(37554,plain,
% 17.88/13.02 (v121(constB73, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37553])).
% 17.88/13.02 tff(37555,plain,
% 17.88/13.02 (v121(VarCurr!0, 2) <=> v121(constB73, 2)),
% 17.88/13.02 inference(symmetry,[status(thm)],[37554])).
% 17.88/13.02 tff(37556,plain,
% 17.88/13.02 ((~v121(VarCurr!0, 2)) <=> (~v121(constB73, 2))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37555])).
% 17.88/13.02 tff(37557,plain,
% 17.88/13.02 (~v121(constB73, 2)),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37502, 37556])).
% 17.88/13.02 tff(37558,plain,
% 17.88/13.02 ($false),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[10706, 37557])).
% 17.88/13.02 tff(37559,plain,((~(constB73 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.02 tff(37560,plain,
% 17.88/13.02 (~(constB73 = VarCurr!0)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37559, 37502])).
% 17.88/13.02 tff(37561,assumption,(constB153 = VarCurr!0), introduced(assumption)).
% 17.88/13.02 tff(37562,plain,
% 17.88/13.02 (v121(constB153, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37561])).
% 17.88/13.02 tff(37563,plain,
% 17.88/13.02 (v121(VarCurr!0, 2) <=> v121(constB153, 2)),
% 17.88/13.02 inference(symmetry,[status(thm)],[37562])).
% 17.88/13.02 tff(37564,plain,
% 17.88/13.02 ((~v121(VarCurr!0, 2)) <=> (~v121(constB153, 2))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37563])).
% 17.88/13.02 tff(37565,plain,
% 17.88/13.02 (~v121(constB153, 2)),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37502, 37564])).
% 17.88/13.02 tff(37566,plain,
% 17.88/13.02 ($false),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[20873, 37565])).
% 17.88/13.02 tff(37567,plain,((~(constB153 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.02 tff(37568,plain,
% 17.88/13.02 (~(constB153 = VarCurr!0)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37567, 37502])).
% 17.88/13.02 tff(37569,assumption,(constB41 = VarCurr!0), introduced(assumption)).
% 17.88/13.02 tff(37570,plain,
% 17.88/13.02 (v121(constB41, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37569])).
% 17.88/13.02 tff(37571,plain,
% 17.88/13.02 (v121(VarCurr!0, 2) <=> v121(constB41, 2)),
% 17.88/13.02 inference(symmetry,[status(thm)],[37570])).
% 17.88/13.02 tff(37572,plain,
% 17.88/13.02 ((~v121(VarCurr!0, 2)) <=> (~v121(constB41, 2))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37571])).
% 17.88/13.02 tff(37573,plain,
% 17.88/13.02 (~v121(constB41, 2)),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37502, 37572])).
% 17.88/13.02 tff(37574,plain,
% 17.88/13.02 ($false),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[8133, 37573])).
% 17.88/13.02 tff(37575,plain,((~(constB41 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.02 tff(37576,plain,
% 17.88/13.02 (~(constB41 = VarCurr!0)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37575, 37502])).
% 17.88/13.02 tff(37577,assumption,(constB21 = VarCurr!0), introduced(assumption)).
% 17.88/13.02 tff(37578,plain,
% 17.88/13.02 (v121(constB21, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37577])).
% 17.88/13.02 tff(37579,plain,
% 17.88/13.02 (v121(VarCurr!0, 2) <=> v121(constB21, 2)),
% 17.88/13.02 inference(symmetry,[status(thm)],[37578])).
% 17.88/13.02 tff(37580,plain,
% 17.88/13.02 ((~v121(VarCurr!0, 2)) <=> (~v121(constB21, 2))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37579])).
% 17.88/13.02 tff(37581,plain,
% 17.88/13.02 (~v121(constB21, 2)),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37502, 37580])).
% 17.88/13.02 tff(37582,plain,
% 17.88/13.02 ($false),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[4111, 37581])).
% 17.88/13.02 tff(37583,plain,((~(constB21 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.02 tff(37584,plain,
% 17.88/13.02 (~(constB21 = VarCurr!0)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37583, 37502])).
% 17.88/13.02 tff(37585,assumption,(constB141 = VarCurr!0), introduced(assumption)).
% 17.88/13.02 tff(37586,plain,
% 17.88/13.02 (v121(constB141, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37585])).
% 17.88/13.02 tff(37587,plain,
% 17.88/13.02 (v121(VarCurr!0, 2) <=> v121(constB141, 2)),
% 17.88/13.02 inference(symmetry,[status(thm)],[37586])).
% 17.88/13.02 tff(37588,plain,
% 17.88/13.02 ((~v121(VarCurr!0, 2)) <=> (~v121(constB141, 2))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37587])).
% 17.88/13.02 tff(37589,plain,
% 17.88/13.02 (~v121(constB141, 2)),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37502, 37588])).
% 17.88/13.02 tff(37590,plain,
% 17.88/13.02 ($false),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[19770, 37589])).
% 17.88/13.02 tff(37591,plain,((~(constB141 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.02 tff(37592,plain,
% 17.88/13.02 (~(constB141 = VarCurr!0)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37591, 37502])).
% 17.88/13.02 tff(37593,assumption,(constB101 = VarCurr!0), introduced(assumption)).
% 17.88/13.02 tff(37594,plain,
% 17.88/13.02 (v121(constB101, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37593])).
% 17.88/13.02 tff(37595,plain,
% 17.88/13.02 (v121(VarCurr!0, 2) <=> v121(constB101, 2)),
% 17.88/13.02 inference(symmetry,[status(thm)],[37594])).
% 17.88/13.02 tff(37596,plain,
% 17.88/13.02 ((~v121(VarCurr!0, 2)) <=> (~v121(constB101, 2))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37595])).
% 17.88/13.02 tff(37597,plain,
% 17.88/13.02 (~v121(constB101, 2)),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37502, 37596])).
% 17.88/13.02 tff(37598,plain,
% 17.88/13.02 ($false),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[16601, 37597])).
% 17.88/13.02 tff(37599,plain,((~(constB101 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.02 tff(37600,plain,
% 17.88/13.02 (~(constB101 = VarCurr!0)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37599, 37502])).
% 17.88/13.02 tff(37601,assumption,(constB81 = VarCurr!0), introduced(assumption)).
% 17.88/13.02 tff(37602,plain,
% 17.88/13.02 (v121(constB81, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37601])).
% 17.88/13.02 tff(37603,plain,
% 17.88/13.02 (v121(VarCurr!0, 2) <=> v121(constB81, 2)),
% 17.88/13.02 inference(symmetry,[status(thm)],[37602])).
% 17.88/13.02 tff(37604,plain,
% 17.88/13.02 ((~v121(VarCurr!0, 2)) <=> (~v121(constB81, 2))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37603])).
% 17.88/13.02 tff(37605,plain,
% 17.88/13.02 (~v121(constB81, 2)),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37502, 37604])).
% 17.88/13.02 tff(37606,plain,
% 17.88/13.02 ($false),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[11192, 37605])).
% 17.88/13.02 tff(37607,plain,((~(constB81 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.02 tff(37608,plain,
% 17.88/13.02 (~(constB81 = VarCurr!0)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37607, 37502])).
% 17.88/13.02 tff(37609,assumption,(~(constB157 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37610,assumption,(~(constB149 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37611,assumption,(~(constB199 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37612,assumption,(~(constB77 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37613,assumption,(~(constB37 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37614,assumption,(~(constB69 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37615,assumption,(~(constB89 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37616,assumption,(~(constB19 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37617,assumption,(~(constB117 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37618,assumption,(~(constB147 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37619,assumption,(~(constB47 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37620,assumption,(~(constB39 = VarCurr!0)), introduced(assumption)).
% 17.88/13.02 tff(37621,assumption,(constB151 = VarCurr!0), introduced(assumption)).
% 17.88/13.02 tff(37622,plain,
% 17.88/13.02 (v121(constB151, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37621])).
% 17.88/13.02 tff(37623,plain,
% 17.88/13.02 (v121(VarCurr!0, 2) <=> v121(constB151, 2)),
% 17.88/13.02 inference(symmetry,[status(thm)],[37622])).
% 17.88/13.02 tff(37624,plain,
% 17.88/13.02 ((~v121(VarCurr!0, 2)) <=> (~v121(constB151, 2))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37623])).
% 17.88/13.02 tff(37625,plain,
% 17.88/13.02 (~v121(constB151, 2)),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37502, 37624])).
% 17.88/13.02 tff(37626,plain,
% 17.88/13.02 ($false),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[20566, 37625])).
% 17.88/13.02 tff(37627,plain,((~(constB151 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.02 tff(37628,plain,
% 17.88/13.02 (~(constB151 = VarCurr!0)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37627, 37502])).
% 17.88/13.02 tff(37629,assumption,(constB53 = VarCurr!0), introduced(assumption)).
% 17.88/13.02 tff(37630,plain,
% 17.88/13.02 (v121(constB53, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37629])).
% 17.88/13.02 tff(37631,plain,
% 17.88/13.02 (v121(VarCurr!0, 2) <=> v121(constB53, 2)),
% 17.88/13.02 inference(symmetry,[status(thm)],[37630])).
% 17.88/13.02 tff(37632,plain,
% 17.88/13.02 ((~v121(VarCurr!0, 2)) <=> (~v121(constB53, 2))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37631])).
% 17.88/13.02 tff(37633,plain,
% 17.88/13.02 (~v121(constB53, 2)),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37502, 37632])).
% 17.88/13.02 tff(37634,plain,
% 17.88/13.02 ($false),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[9117, 37633])).
% 17.88/13.02 tff(37635,plain,((~(constB53 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.02 tff(37636,plain,
% 17.88/13.02 (~(constB53 = VarCurr!0)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37635, 37502])).
% 17.88/13.02 tff(37637,assumption,(constB191 = VarCurr!0), introduced(assumption)).
% 17.88/13.02 tff(37638,plain,
% 17.88/13.02 (v121(constB191, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37637])).
% 17.88/13.02 tff(37639,plain,
% 17.88/13.02 (v121(VarCurr!0, 2) <=> v121(constB191, 2)),
% 17.88/13.02 inference(symmetry,[status(thm)],[37638])).
% 17.88/13.02 tff(37640,plain,
% 17.88/13.02 ((~v121(VarCurr!0, 2)) <=> (~v121(constB191, 2))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37639])).
% 17.88/13.02 tff(37641,plain,
% 17.88/13.02 (~v121(constB191, 2)),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37502, 37640])).
% 17.88/13.02 tff(37642,plain,
% 17.88/13.02 ($false),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[33336, 37641])).
% 17.88/13.02 tff(37643,plain,((~(constB191 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.02 tff(37644,plain,
% 17.88/13.02 (~(constB191 = VarCurr!0)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37643, 37502])).
% 17.88/13.02 tff(37645,assumption,(constB133 = VarCurr!0), introduced(assumption)).
% 17.88/13.02 tff(37646,plain,
% 17.88/13.02 (v121(constB133, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37645])).
% 17.88/13.02 tff(37647,plain,
% 17.88/13.02 (v121(VarCurr!0, 2) <=> v121(constB133, 2)),
% 17.88/13.02 inference(symmetry,[status(thm)],[37646])).
% 17.88/13.02 tff(37648,plain,
% 17.88/13.02 ((~v121(VarCurr!0, 2)) <=> (~v121(constB133, 2))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37647])).
% 17.88/13.02 tff(37649,plain,
% 17.88/13.02 (~v121(constB133, 2)),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37502, 37648])).
% 17.88/13.02 tff(37650,plain,
% 17.88/13.02 ($false),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[19284, 37649])).
% 17.88/13.02 tff(37651,plain,((~(constB133 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.02 tff(37652,plain,
% 17.88/13.02 (~(constB133 = VarCurr!0)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37651, 37502])).
% 17.88/13.02 tff(37653,assumption,(constB193 = VarCurr!0), introduced(assumption)).
% 17.88/13.02 tff(37654,plain,
% 17.88/13.02 (v121(constB193, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37653])).
% 17.88/13.02 tff(37655,plain,
% 17.88/13.02 (v121(VarCurr!0, 2) <=> v121(constB193, 2)),
% 17.88/13.02 inference(symmetry,[status(thm)],[37654])).
% 17.88/13.02 tff(37656,plain,
% 17.88/13.02 ((~v121(VarCurr!0, 2)) <=> (~v121(constB193, 2))),
% 17.88/13.02 inference(monotonicity,[status(thm)],[37655])).
% 17.88/13.02 tff(37657,plain,
% 17.88/13.02 (~v121(constB193, 2)),
% 17.88/13.02 inference(modus_ponens,[status(thm)],[37502, 37656])).
% 17.88/13.02 tff(37658,plain,
% 17.88/13.02 ((~![VarCurr: state_type] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB193) <=> v26(constB193))),
% 17.88/13.02 inference(quant_inst,[status(thm)],[])).
% 17.88/13.02 tff(37659,plain,
% 17.88/13.02 (v105(constB193) <=> v26(constB193)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37658, 861])).
% 17.88/13.02 tff(37660,plain,
% 17.88/13.02 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB193))),
% 17.88/13.02 inference(quant_inst,[status(thm)],[])).
% 17.88/13.02 tff(37661,plain,
% 17.88/13.02 (~v26(constB193)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37660, 873])).
% 17.88/13.02 tff(37662,plain,
% 17.88/13.02 ((~(v105(constB193) <=> v26(constB193))) | (~v105(constB193)) | v26(constB193)),
% 17.88/13.02 inference(tautology,[status(thm)],[])).
% 17.88/13.02 tff(37663,plain,
% 17.88/13.02 ((~(v105(constB193) <=> v26(constB193))) | (~v105(constB193))),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37662, 37661])).
% 17.88/13.02 tff(37664,plain,
% 17.88/13.02 (~v105(constB193)),
% 17.88/13.02 inference(unit_resolution,[status(thm)],[37663, 37659])).
% 17.88/13.02 tff(37665,plain,
% 17.88/13.02 (((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB193) | (~(((~v121(constB193, 2)) <=> v124(constB193, 2)) | ((~v121(constB193, 0)) <=> v124(constB193, 0)) | ((~v121(constB193, 1)) <=> v124(constB193, 1)))))) <=> ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB193) | (~(((~v121(constB193, 2)) <=> v124(constB193, 2)) | ((~v121(constB193, 0)) <=> v124(constB193, 0)) | ((~v121(constB193, 1)) <=> v124(constB193, 1)))))),
% 17.88/13.02 inference(rewrite,[status(thm)],[])).
% 17.88/13.02 tff(37666,plain,
% 17.88/13.02 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | (v105(constB193) | (~(((~v121(constB193, 2)) <=> v124(constB193, 2)) | ((~v121(constB193, 0)) <=> v124(constB193, 0)) | ((~v121(constB193, 1)) <=> v124(constB193, 1)))))),
% 17.88/13.02 inference(quant_inst,[status(thm)],[])).
% 17.88/13.02 tff(37667,plain,
% 17.88/13.02 ((~![VarCurr: state_type] : (v105(VarCurr) | (~(((~v121(VarCurr, 2)) <=> v124(VarCurr, 2)) | ((~v121(VarCurr, 0)) <=> v124(VarCurr, 0)) | ((~v121(VarCurr, 1)) <=> v124(VarCurr, 1)))))) | v105(constB193) | (~(((~v121(constB193, 2)) <=> v124(constB193, 2)) | ((~v121(constB193, 0)) <=> v124(constB193, 0)) | ((~v121(constB193, 1)) <=> v124(constB193, 1))))),
% 17.88/13.03 inference(modus_ponens,[status(thm)],[37666, 37665])).
% 17.88/13.03 tff(37668,plain,
% 17.88/13.03 (v105(constB193) | (~(((~v121(constB193, 2)) <=> v124(constB193, 2)) | ((~v121(constB193, 0)) <=> v124(constB193, 0)) | ((~v121(constB193, 1)) <=> v124(constB193, 1))))),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37667, 891])).
% 17.88/13.03 tff(37669,plain,
% 17.88/13.03 (~(((~v121(constB193, 2)) <=> v124(constB193, 2)) | ((~v121(constB193, 0)) <=> v124(constB193, 0)) | ((~v121(constB193, 1)) <=> v124(constB193, 1)))),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37668, 37664])).
% 17.88/13.03 tff(37670,plain,
% 17.88/13.03 ((((~v121(constB193, 2)) <=> v124(constB193, 2)) | ((~v121(constB193, 0)) <=> v124(constB193, 0)) | ((~v121(constB193, 1)) <=> v124(constB193, 1))) | (~((~v121(constB193, 2)) <=> v124(constB193, 2)))),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37671,plain,
% 17.88/13.03 (~((~v121(constB193, 2)) <=> v124(constB193, 2))),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37670, 37669])).
% 17.88/13.03 tff(37672,plain,
% 17.88/13.03 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB193) <=> (~(v84(constB193, 1) | v84(constB193, 0) | (~v84(constB193, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB193) <=> (~(v84(constB193, 1) | v84(constB193, 0) | (~v84(constB193, 2))))))),
% 17.88/13.03 inference(rewrite,[status(thm)],[])).
% 17.88/13.03 tff(37673,plain,
% 17.88/13.03 ((v117(constB193) <=> (~(v84(constB193, 0) | v84(constB193, 1) | (~v84(constB193, 2))))) <=> (v117(constB193) <=> (~(v84(constB193, 1) | v84(constB193, 0) | (~v84(constB193, 2)))))),
% 17.88/13.03 inference(rewrite,[status(thm)],[])).
% 17.88/13.03 tff(37674,plain,
% 17.88/13.03 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB193) <=> (~(v84(constB193, 0) | v84(constB193, 1) | (~v84(constB193, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB193) <=> (~(v84(constB193, 1) | v84(constB193, 0) | (~v84(constB193, 2))))))),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37673])).
% 17.88/13.03 tff(37675,plain,
% 17.88/13.03 (((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB193) <=> (~(v84(constB193, 0) | v84(constB193, 1) | (~v84(constB193, 2)))))) <=> ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB193) <=> (~(v84(constB193, 1) | v84(constB193, 0) | (~v84(constB193, 2))))))),
% 17.88/13.03 inference(transitivity,[status(thm)],[37674, 37672])).
% 17.88/13.03 tff(37676,plain,
% 17.88/13.03 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB193) <=> (~(v84(constB193, 0) | v84(constB193, 1) | (~v84(constB193, 2)))))),
% 17.88/13.03 inference(quant_inst,[status(thm)],[])).
% 17.88/13.03 tff(37677,plain,
% 17.88/13.03 ((~![VarCurr: state_type] : (v117(VarCurr) <=> (~(v84(VarCurr, 0) | v84(VarCurr, 1) | (~v84(VarCurr, 2)))))) | (v117(constB193) <=> (~(v84(constB193, 1) | v84(constB193, 0) | (~v84(constB193, 2)))))),
% 17.88/13.03 inference(modus_ponens,[status(thm)],[37676, 37675])).
% 17.88/13.03 tff(37678,plain,
% 17.88/13.03 (v117(constB193) <=> (~(v84(constB193, 1) | v84(constB193, 0) | (~v84(constB193, 2))))),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37677, 1199])).
% 17.88/13.03 tff(37679,plain,
% 17.88/13.03 ((((~v84(constB193, 1)) <=> v84(constB192, 1)) | ((~v84(constB193, 2)) <=> v84(constB192, 2)) | ((~v84(constB193, 0)) <=> v84(constB192, 0))) | (~((~v84(constB193, 0)) <=> v84(constB192, 0)))),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37680,plain,
% 17.88/13.03 (~((~v84(constB193, 0)) <=> v84(constB192, 0))),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37679, 32392])).
% 17.88/13.03 tff(37681,plain,
% 17.88/13.03 ((((~v123(constB192, 2)) <=> v121(constB191, 2)) | ((~v123(constB192, 1)) <=> v121(constB191, 1)) | ((~v123(constB192, 0)) <=> v121(constB191, 0))) | (~((~v123(constB192, 0)) <=> v121(constB191, 0)))),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37682,plain,
% 17.88/13.03 (~((~v123(constB192, 0)) <=> v121(constB191, 0))),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37681, 32401])).
% 17.88/13.03 tff(37683,plain,
% 17.88/13.03 ((((~v121(constB191, 2)) <=> v124(constB191, 2)) | ((~v121(constB191, 0)) <=> v124(constB191, 0)) | ((~v121(constB191, 1)) <=> v124(constB191, 1))) | (~((~v121(constB191, 0)) <=> v124(constB191, 0)))),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37684,plain,
% 17.88/13.03 (~((~v121(constB191, 0)) <=> v124(constB191, 0))),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37683, 32415])).
% 17.88/13.03 tff(37685,plain,
% 17.88/13.03 ((v124(constB191, 0) | v124(constB191, 1) | (~v124(constB191, 2))) | (~v124(constB191, 0))),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37686,plain,
% 17.88/13.03 (~v124(constB191, 0)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37685, 33332])).
% 17.88/13.03 tff(37687,plain,
% 17.88/13.03 (((~v121(constB191, 0)) <=> v124(constB191, 0)) | (~v121(constB191, 0)) | v124(constB191, 0)),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37688,plain,
% 17.88/13.03 (~v121(constB191, 0)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37687, 37686, 37684])).
% 17.88/13.03 tff(37689,plain,
% 17.88/13.03 (((~v123(constB192, 0)) <=> v121(constB191, 0)) | (~v123(constB192, 0)) | v121(constB191, 0)),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37690,plain,
% 17.88/13.03 (~v123(constB192, 0)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37689, 37688, 37682])).
% 17.88/13.03 tff(37691,plain,
% 17.88/13.03 ((((~v84(constB192, 2)) <=> v123(constB192, 2)) | ((~v84(constB192, 1)) <=> v123(constB192, 1)) | ((~v84(constB192, 0)) <=> v123(constB192, 0))) | (~((~v84(constB192, 0)) <=> v123(constB192, 0)))),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37692,plain,
% 17.88/13.03 (~((~v84(constB192, 0)) <=> v123(constB192, 0))),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37691, 33427])).
% 17.88/13.03 tff(37693,plain,
% 17.88/13.03 (((~v84(constB192, 0)) <=> v123(constB192, 0)) | (~v84(constB192, 0)) | v123(constB192, 0)),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37694,plain,
% 17.88/13.03 (~v84(constB192, 0)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37693, 37692, 37690])).
% 17.88/13.03 tff(37695,plain,
% 17.88/13.03 (((~v84(constB193, 0)) <=> v84(constB192, 0)) | (~v84(constB193, 0)) | v84(constB192, 0)),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37696,plain,
% 17.88/13.03 (~v84(constB193, 0)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37695, 37694, 37680])).
% 17.88/13.03 tff(37697,plain,
% 17.88/13.03 ((((~v84(constB193, 1)) <=> v84(constB192, 1)) | ((~v84(constB193, 2)) <=> v84(constB192, 2)) | ((~v84(constB193, 0)) <=> v84(constB192, 0))) | (~((~v84(constB193, 1)) <=> v84(constB192, 1)))),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37698,plain,
% 17.88/13.03 (~((~v84(constB193, 1)) <=> v84(constB192, 1))),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37697, 32392])).
% 17.88/13.03 tff(37699,plain,
% 17.88/13.03 ((((~v123(constB192, 2)) <=> v121(constB191, 2)) | ((~v123(constB192, 1)) <=> v121(constB191, 1)) | ((~v123(constB192, 0)) <=> v121(constB191, 0))) | (~((~v123(constB192, 1)) <=> v121(constB191, 1)))),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37700,plain,
% 17.88/13.03 (~((~v123(constB192, 1)) <=> v121(constB191, 1))),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37699, 32401])).
% 17.88/13.03 tff(37701,plain,
% 17.88/13.03 ((((~v121(constB191, 2)) <=> v124(constB191, 2)) | ((~v121(constB191, 0)) <=> v124(constB191, 0)) | ((~v121(constB191, 1)) <=> v124(constB191, 1))) | (~((~v121(constB191, 1)) <=> v124(constB191, 1)))),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37702,plain,
% 17.88/13.03 (~((~v121(constB191, 1)) <=> v124(constB191, 1))),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37701, 32415])).
% 17.88/13.03 tff(37703,plain,
% 17.88/13.03 ((v124(constB191, 0) | v124(constB191, 1) | (~v124(constB191, 2))) | (~v124(constB191, 1))),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37704,plain,
% 17.88/13.03 (~v124(constB191, 1)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37703, 33332])).
% 17.88/13.03 tff(37705,plain,
% 17.88/13.03 (((~v121(constB191, 1)) <=> v124(constB191, 1)) | (~v121(constB191, 1)) | v124(constB191, 1)),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37706,plain,
% 17.88/13.03 (~v121(constB191, 1)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37705, 37704, 37702])).
% 17.88/13.03 tff(37707,plain,
% 17.88/13.03 (((~v123(constB192, 1)) <=> v121(constB191, 1)) | (~v123(constB192, 1)) | v121(constB191, 1)),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37708,plain,
% 17.88/13.03 (~v123(constB192, 1)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37707, 37706, 37700])).
% 17.88/13.03 tff(37709,plain,
% 17.88/13.03 ((((~v84(constB192, 2)) <=> v123(constB192, 2)) | ((~v84(constB192, 1)) <=> v123(constB192, 1)) | ((~v84(constB192, 0)) <=> v123(constB192, 0))) | (~((~v84(constB192, 1)) <=> v123(constB192, 1)))),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37710,plain,
% 17.88/13.03 (~((~v84(constB192, 1)) <=> v123(constB192, 1))),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37709, 33427])).
% 17.88/13.03 tff(37711,plain,
% 17.88/13.03 (((~v84(constB192, 1)) <=> v123(constB192, 1)) | (~v84(constB192, 1)) | v123(constB192, 1)),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37712,plain,
% 17.88/13.03 (~v84(constB192, 1)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37711, 37710, 37708])).
% 17.88/13.03 tff(37713,plain,
% 17.88/13.03 (((~v84(constB193, 1)) <=> v84(constB192, 1)) | (~v84(constB193, 1)) | v84(constB192, 1)),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37714,plain,
% 17.88/13.03 (~v84(constB193, 1)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37713, 37712, 37698])).
% 17.88/13.03 tff(37715,plain,
% 17.88/13.03 ((~(v84(constB193, 1) | v84(constB193, 0) | (~v84(constB193, 2)))) | v84(constB193, 1) | v84(constB193, 0) | (~v84(constB193, 2))),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37716,plain,
% 17.88/13.03 (~(v84(constB193, 1) | v84(constB193, 0) | (~v84(constB193, 2)))),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37715, 37714, 37696, 33433])).
% 17.88/13.03 tff(37717,plain,
% 17.88/13.03 ((~(v117(constB193) <=> (~(v84(constB193, 1) | v84(constB193, 0) | (~v84(constB193, 2)))))) | v117(constB193) | (v84(constB193, 1) | v84(constB193, 0) | (~v84(constB193, 2)))),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37718,plain,
% 17.88/13.03 (v117(constB193)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37717, 37716, 37678])).
% 17.88/13.03 tff(37719,plain,
% 17.88/13.03 (((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB193)) | (~(v124(constB193, 0) | (~v124(constB193, 2)) | (~v124(constB193, 1)))))) <=> ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB193)) | (~(v124(constB193, 0) | (~v124(constB193, 2)) | (~v124(constB193, 1)))))),
% 17.88/13.03 inference(rewrite,[status(thm)],[])).
% 17.88/13.03 tff(37720,plain,
% 17.88/13.03 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | ((~v117(constB193)) | (~(v124(constB193, 0) | (~v124(constB193, 2)) | (~v124(constB193, 1)))))),
% 17.88/13.03 inference(quant_inst,[status(thm)],[])).
% 17.88/13.03 tff(37721,plain,
% 17.88/13.03 ((~![VarCurr: state_type] : ((~v117(VarCurr)) | (~(v124(VarCurr, 0) | (~v124(VarCurr, 2)) | (~v124(VarCurr, 1)))))) | (~v117(constB193)) | (~(v124(constB193, 0) | (~v124(constB193, 2)) | (~v124(constB193, 1))))),
% 17.88/13.03 inference(modus_ponens,[status(thm)],[37720, 37719])).
% 17.88/13.03 tff(37722,plain,
% 17.88/13.03 ((~v117(constB193)) | (~(v124(constB193, 0) | (~v124(constB193, 2)) | (~v124(constB193, 1))))),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37721, 2584])).
% 17.88/13.03 tff(37723,plain,
% 17.88/13.03 (~(v124(constB193, 0) | (~v124(constB193, 2)) | (~v124(constB193, 1)))),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37722, 37718])).
% 17.88/13.03 tff(37724,plain,
% 17.88/13.03 ((v124(constB193, 0) | (~v124(constB193, 2)) | (~v124(constB193, 1))) | v124(constB193, 2)),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37725,plain,
% 17.88/13.03 (v124(constB193, 2)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37724, 37723])).
% 17.88/13.03 tff(37726,plain,
% 17.88/13.03 (((~v121(constB193, 2)) <=> v124(constB193, 2)) | v121(constB193, 2) | (~v124(constB193, 2))),
% 17.88/13.03 inference(tautology,[status(thm)],[])).
% 17.88/13.03 tff(37727,plain,
% 17.88/13.03 (v121(constB193, 2)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37726, 37725, 37671])).
% 17.88/13.03 tff(37728,plain,
% 17.88/13.03 ($false),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37727, 37657])).
% 17.88/13.03 tff(37729,plain,((~(constB193 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.03 tff(37730,plain,
% 17.88/13.03 (~(constB193 = VarCurr!0)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37729, 37502])).
% 17.88/13.03 tff(37731,assumption,(constB93 = VarCurr!0), introduced(assumption)).
% 17.88/13.03 tff(37732,plain,
% 17.88/13.03 (v121(constB93, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37731])).
% 17.88/13.03 tff(37733,plain,
% 17.88/13.03 (v121(VarCurr!0, 2) <=> v121(constB93, 2)),
% 17.88/13.03 inference(symmetry,[status(thm)],[37732])).
% 17.88/13.03 tff(37734,plain,
% 17.88/13.03 ((~v121(VarCurr!0, 2)) <=> (~v121(constB93, 2))),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37733])).
% 17.88/13.03 tff(37735,plain,
% 17.88/13.03 (~v121(constB93, 2)),
% 17.88/13.03 inference(modus_ponens,[status(thm)],[37502, 37734])).
% 17.88/13.03 tff(37736,plain,
% 17.88/13.03 ($false),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[12295, 37735])).
% 17.88/13.03 tff(37737,plain,((~(constB93 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.03 tff(37738,plain,
% 17.88/13.03 (~(constB93 = VarCurr!0)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37737, 37502])).
% 17.88/13.03 tff(37739,assumption,(constB31 = VarCurr!0), introduced(assumption)).
% 17.88/13.03 tff(37740,plain,
% 17.88/13.03 (v121(constB31, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37739])).
% 17.88/13.03 tff(37741,plain,
% 17.88/13.03 (v121(VarCurr!0, 2) <=> v121(constB31, 2)),
% 17.88/13.03 inference(symmetry,[status(thm)],[37740])).
% 17.88/13.03 tff(37742,plain,
% 17.88/13.03 ((~v121(VarCurr!0, 2)) <=> (~v121(constB31, 2))),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37741])).
% 17.88/13.03 tff(37743,plain,
% 17.88/13.03 (~v121(constB31, 2)),
% 17.88/13.03 inference(modus_ponens,[status(thm)],[37502, 37742])).
% 17.88/13.03 tff(37744,plain,
% 17.88/13.03 ($false),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[4907, 37743])).
% 17.88/13.03 tff(37745,plain,((~(constB31 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.03 tff(37746,plain,
% 17.88/13.03 (~(constB31 = VarCurr!0)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37745, 37502])).
% 17.88/13.03 tff(37747,assumption,(constB103 = VarCurr!0), introduced(assumption)).
% 17.88/13.03 tff(37748,plain,
% 17.88/13.03 (v121(constB103, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37747])).
% 17.88/13.03 tff(37749,plain,
% 17.88/13.03 (v121(VarCurr!0, 2) <=> v121(constB103, 2)),
% 17.88/13.03 inference(symmetry,[status(thm)],[37748])).
% 17.88/13.03 tff(37750,plain,
% 17.88/13.03 ((~v121(VarCurr!0, 2)) <=> (~v121(constB103, 2))),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37749])).
% 17.88/13.03 tff(37751,plain,
% 17.88/13.03 (~v121(constB103, 2)),
% 17.88/13.03 inference(modus_ponens,[status(thm)],[37502, 37750])).
% 17.88/13.03 tff(37752,plain,
% 17.88/13.03 ($false),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[16747, 37751])).
% 17.88/13.03 tff(37753,plain,((~(constB103 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.03 tff(37754,plain,
% 17.88/13.03 (~(constB103 = VarCurr!0)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37753, 37502])).
% 17.88/13.03 tff(37755,assumption,(constB131 = VarCurr!0), introduced(assumption)).
% 17.88/13.03 tff(37756,plain,
% 17.88/13.03 (v121(constB131, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37755])).
% 17.88/13.03 tff(37757,plain,
% 17.88/13.03 (v121(VarCurr!0, 2) <=> v121(constB131, 2)),
% 17.88/13.03 inference(symmetry,[status(thm)],[37756])).
% 17.88/13.03 tff(37758,plain,
% 17.88/13.03 ((~v121(VarCurr!0, 2)) <=> (~v121(constB131, 2))),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37757])).
% 17.88/13.03 tff(37759,plain,
% 17.88/13.03 (~v121(constB131, 2)),
% 17.88/13.03 inference(modus_ponens,[status(thm)],[37502, 37758])).
% 17.88/13.03 tff(37760,plain,
% 17.88/13.03 ($false),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[18977, 37759])).
% 17.88/13.03 tff(37761,plain,((~(constB131 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.03 tff(37762,plain,
% 17.88/13.03 (~(constB131 = VarCurr!0)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37761, 37502])).
% 17.88/13.03 tff(37763,assumption,(constB1 = VarCurr!0), introduced(assumption)).
% 17.88/13.03 tff(37764,plain,
% 17.88/13.03 (v121(constB1, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37763])).
% 17.88/13.03 tff(37765,plain,
% 17.88/13.03 (v121(VarCurr!0, 2) <=> v121(constB1, 2)),
% 17.88/13.03 inference(symmetry,[status(thm)],[37764])).
% 17.88/13.03 tff(37766,plain,
% 17.88/13.03 ((~v121(VarCurr!0, 2)) <=> (~v121(constB1, 2))),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37765])).
% 17.88/13.03 tff(37767,plain,
% 17.88/13.03 (~v121(constB1, 2)),
% 17.88/13.03 inference(modus_ponens,[status(thm)],[37502, 37766])).
% 17.88/13.03 tff(37768,plain,
% 17.88/13.03 ($false),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[2309, 37767])).
% 17.88/13.03 tff(37769,plain,((~(constB1 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.03 tff(37770,plain,
% 17.88/13.03 (~(constB1 = VarCurr!0)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37769, 37502])).
% 17.88/13.03 tff(37771,assumption,(constB33 = VarCurr!0), introduced(assumption)).
% 17.88/13.03 tff(37772,plain,
% 17.88/13.03 (v121(constB33, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37771])).
% 17.88/13.03 tff(37773,plain,
% 17.88/13.03 (v121(VarCurr!0, 2) <=> v121(constB33, 2)),
% 17.88/13.03 inference(symmetry,[status(thm)],[37772])).
% 17.88/13.03 tff(37774,plain,
% 17.88/13.03 ((~v121(VarCurr!0, 2)) <=> (~v121(constB33, 2))),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37773])).
% 17.88/13.03 tff(37775,plain,
% 17.88/13.03 (~v121(constB33, 2)),
% 17.88/13.03 inference(modus_ponens,[status(thm)],[37502, 37774])).
% 17.88/13.03 tff(37776,plain,
% 17.88/13.03 ($false),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[5214, 37775])).
% 17.88/13.03 tff(37777,plain,((~(constB33 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.03 tff(37778,plain,
% 17.88/13.03 (~(constB33 = VarCurr!0)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37777, 37502])).
% 17.88/13.03 tff(37779,assumption,(constB91 = VarCurr!0), introduced(assumption)).
% 17.88/13.03 tff(37780,plain,
% 17.88/13.03 (v121(constB91, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37779])).
% 17.88/13.03 tff(37781,plain,
% 17.88/13.03 (v121(VarCurr!0, 2) <=> v121(constB91, 2)),
% 17.88/13.03 inference(symmetry,[status(thm)],[37780])).
% 17.88/13.03 tff(37782,plain,
% 17.88/13.03 ((~v121(VarCurr!0, 2)) <=> (~v121(constB91, 2))),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37781])).
% 17.88/13.03 tff(37783,plain,
% 17.88/13.03 (~v121(constB91, 2)),
% 17.88/13.03 inference(modus_ponens,[status(thm)],[37502, 37782])).
% 17.88/13.03 tff(37784,plain,
% 17.88/13.03 ($false),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[11988, 37783])).
% 17.88/13.03 tff(37785,plain,((~(constB91 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.03 tff(37786,plain,
% 17.88/13.03 (~(constB91 = VarCurr!0)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37785, 37502])).
% 17.88/13.03 tff(37787,assumption,(constB121 = VarCurr!0), introduced(assumption)).
% 17.88/13.03 tff(37788,plain,
% 17.88/13.03 (v121(constB121, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37787])).
% 17.88/13.03 tff(37789,plain,
% 17.88/13.03 (v121(VarCurr!0, 2) <=> v121(constB121, 2)),
% 17.88/13.03 inference(symmetry,[status(thm)],[37788])).
% 17.88/13.03 tff(37790,plain,
% 17.88/13.03 ((~v121(VarCurr!0, 2)) <=> (~v121(constB121, 2))),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37789])).
% 17.88/13.03 tff(37791,plain,
% 17.88/13.03 (~v121(constB121, 2)),
% 17.88/13.03 inference(modus_ponens,[status(thm)],[37502, 37790])).
% 17.88/13.03 tff(37792,plain,
% 17.88/13.03 ($false),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[18181, 37791])).
% 17.88/13.03 tff(37793,plain,((~(constB121 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.03 tff(37794,plain,
% 17.88/13.03 (~(constB121 = VarCurr!0)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37793, 37502])).
% 17.88/13.03 tff(37795,assumption,(constB171 = VarCurr!0), introduced(assumption)).
% 17.88/13.03 tff(37796,plain,
% 17.88/13.03 (v121(constB171, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37795])).
% 17.88/13.03 tff(37797,plain,
% 17.88/13.03 (v121(VarCurr!0, 2) <=> v121(constB171, 2)),
% 17.88/13.03 inference(symmetry,[status(thm)],[37796])).
% 17.88/13.03 tff(37798,plain,
% 17.88/13.03 ((~v121(VarCurr!0, 2)) <=> (~v121(constB171, 2))),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37797])).
% 17.88/13.03 tff(37799,plain,
% 17.88/13.03 (~v121(constB171, 2)),
% 17.88/13.03 inference(modus_ponens,[status(thm)],[37502, 37798])).
% 17.88/13.03 tff(37800,plain,
% 17.88/13.03 ($false),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[23822, 37799])).
% 17.88/13.03 tff(37801,plain,((~(constB171 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.03 tff(37802,plain,
% 17.88/13.03 (~(constB171 = VarCurr!0)),
% 17.88/13.03 inference(unit_resolution,[status(thm)],[37801, 37502])).
% 17.88/13.03 tff(37803,assumption,(constB143 = VarCurr!0), introduced(assumption)).
% 17.88/13.03 tff(37804,plain,
% 17.88/13.03 (v121(constB143, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37803])).
% 17.88/13.03 tff(37805,plain,
% 17.88/13.03 (v121(VarCurr!0, 2) <=> v121(constB143, 2)),
% 17.88/13.03 inference(symmetry,[status(thm)],[37804])).
% 17.88/13.03 tff(37806,plain,
% 17.88/13.03 ((~v121(VarCurr!0, 2)) <=> (~v121(constB143, 2))),
% 17.88/13.03 inference(monotonicity,[status(thm)],[37805])).
% 17.88/13.03 tff(37807,plain,
% 17.88/13.03 (~v121(constB143, 2)),
% 17.88/13.03 inference(modus_ponens,[status(thm)],[37502, 37806])).
% 17.88/13.04 tff(37808,plain,
% 17.88/13.04 ($false),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[19919, 37807])).
% 17.88/13.04 tff(37809,plain,((~(constB143 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.04 tff(37810,plain,
% 17.88/13.04 (~(constB143 = VarCurr!0)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37809, 37502])).
% 17.88/13.04 tff(37811,assumption,(constB51 = VarCurr!0), introduced(assumption)).
% 17.88/13.04 tff(37812,plain,
% 17.88/13.04 (v121(constB51, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37811])).
% 17.88/13.04 tff(37813,plain,
% 17.88/13.04 (v121(VarCurr!0, 2) <=> v121(constB51, 2)),
% 17.88/13.04 inference(symmetry,[status(thm)],[37812])).
% 17.88/13.04 tff(37814,plain,
% 17.88/13.04 ((~v121(VarCurr!0, 2)) <=> (~v121(constB51, 2))),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37813])).
% 17.88/13.04 tff(37815,plain,
% 17.88/13.04 (~v121(constB51, 2)),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37502, 37814])).
% 17.88/13.04 tff(37816,plain,
% 17.88/13.04 ($false),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[8810, 37815])).
% 17.88/13.04 tff(37817,plain,((~(constB51 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.04 tff(37818,plain,
% 17.88/13.04 (~(constB51 = VarCurr!0)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37817, 37502])).
% 17.88/13.04 tff(37819,assumption,(constB111 = VarCurr!0), introduced(assumption)).
% 17.88/13.04 tff(37820,plain,
% 17.88/13.04 (v121(constB111, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37819])).
% 17.88/13.04 tff(37821,plain,
% 17.88/13.04 (v121(VarCurr!0, 2) <=> v121(constB111, 2)),
% 17.88/13.04 inference(symmetry,[status(thm)],[37820])).
% 17.88/13.04 tff(37822,plain,
% 17.88/13.04 ((~v121(VarCurr!0, 2)) <=> (~v121(constB111, 2))),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37821])).
% 17.88/13.04 tff(37823,plain,
% 17.88/13.04 (~v121(constB111, 2)),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37502, 37822])).
% 17.88/13.04 tff(37824,plain,
% 17.88/13.04 ($false),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[17388, 37823])).
% 17.88/13.04 tff(37825,plain,((~(constB111 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.04 tff(37826,plain,
% 17.88/13.04 (~(constB111 = VarCurr!0)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37825, 37502])).
% 17.88/13.04 tff(37827,assumption,(constB3 = VarCurr!0), introduced(assumption)).
% 17.88/13.04 tff(37828,plain,
% 17.88/13.04 (v121(constB3, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37827])).
% 17.88/13.04 tff(37829,plain,
% 17.88/13.04 (v121(VarCurr!0, 2) <=> v121(constB3, 2)),
% 17.88/13.04 inference(symmetry,[status(thm)],[37828])).
% 17.88/13.04 tff(37830,plain,
% 17.88/13.04 ((~v121(VarCurr!0, 2)) <=> (~v121(constB3, 2))),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37829])).
% 17.88/13.04 tff(37831,plain,
% 17.88/13.04 (~v121(constB3, 2)),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37502, 37830])).
% 17.88/13.04 tff(37832,plain,
% 17.88/13.04 ($false),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[2593, 37831])).
% 17.88/13.04 tff(37833,plain,((~(constB3 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.04 tff(37834,plain,
% 17.88/13.04 (~(constB3 = VarCurr!0)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37833, 37502])).
% 17.88/13.04 tff(37835,assumption,(constB83 = VarCurr!0), introduced(assumption)).
% 17.88/13.04 tff(37836,plain,
% 17.88/13.04 (v121(constB83, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37835])).
% 17.88/13.04 tff(37837,plain,
% 17.88/13.04 (v121(VarCurr!0, 2) <=> v121(constB83, 2)),
% 17.88/13.04 inference(symmetry,[status(thm)],[37836])).
% 17.88/13.04 tff(37838,plain,
% 17.88/13.04 ((~v121(VarCurr!0, 2)) <=> (~v121(constB83, 2))),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37837])).
% 17.88/13.04 tff(37839,plain,
% 17.88/13.04 (~v121(constB83, 2)),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37502, 37838])).
% 17.88/13.04 tff(37840,plain,
% 17.88/13.04 ($false),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[11341, 37839])).
% 17.88/13.04 tff(37841,plain,((~(constB83 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.04 tff(37842,plain,
% 17.88/13.04 (~(constB83 = VarCurr!0)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37841, 37502])).
% 17.88/13.04 tff(37843,assumption,(constB11 = VarCurr!0), introduced(assumption)).
% 17.88/13.04 tff(37844,plain,
% 17.88/13.04 (v121(constB11, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37843])).
% 17.88/13.04 tff(37845,plain,
% 17.88/13.04 (v121(VarCurr!0, 2) <=> v121(constB11, 2)),
% 17.88/13.04 inference(symmetry,[status(thm)],[37844])).
% 17.88/13.04 tff(37846,plain,
% 17.88/13.04 ((~v121(VarCurr!0, 2)) <=> (~v121(constB11, 2))),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37845])).
% 17.88/13.04 tff(37847,plain,
% 17.88/13.04 (~v121(constB11, 2)),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37502, 37846])).
% 17.88/13.04 tff(37848,plain,
% 17.88/13.04 ($false),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[3318, 37847])).
% 17.88/13.04 tff(37849,plain,((~(constB11 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.04 tff(37850,plain,
% 17.88/13.04 (~(constB11 = VarCurr!0)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37849, 37502])).
% 17.88/13.04 tff(37851,assumption,(constB113 = VarCurr!0), introduced(assumption)).
% 17.88/13.04 tff(37852,plain,
% 17.88/13.04 (v121(constB113, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37851])).
% 17.88/13.04 tff(37853,plain,
% 17.88/13.04 (v121(VarCurr!0, 2) <=> v121(constB113, 2)),
% 17.88/13.04 inference(symmetry,[status(thm)],[37852])).
% 17.88/13.04 tff(37854,plain,
% 17.88/13.04 ((~v121(VarCurr!0, 2)) <=> (~v121(constB113, 2))),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37853])).
% 17.88/13.04 tff(37855,plain,
% 17.88/13.04 (~v121(constB113, 2)),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37502, 37854])).
% 17.88/13.04 tff(37856,plain,
% 17.88/13.04 ($false),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[17695, 37855])).
% 17.88/13.04 tff(37857,plain,((~(constB113 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.04 tff(37858,plain,
% 17.88/13.04 (~(constB113 = VarCurr!0)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37857, 37502])).
% 17.88/13.04 tff(37859,assumption,(constB163 = VarCurr!0), introduced(assumption)).
% 17.88/13.04 tff(37860,plain,
% 17.88/13.04 (v121(constB163, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37859])).
% 17.88/13.04 tff(37861,plain,
% 17.88/13.04 (v121(VarCurr!0, 2) <=> v121(constB163, 2)),
% 17.88/13.04 inference(symmetry,[status(thm)],[37860])).
% 17.88/13.04 tff(37862,plain,
% 17.88/13.04 ((~v121(VarCurr!0, 2)) <=> (~v121(constB163, 2))),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37861])).
% 17.88/13.04 tff(37863,plain,
% 17.88/13.04 (~v121(constB163, 2)),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37502, 37862])).
% 17.88/13.04 tff(37864,plain,
% 17.88/13.04 ($false),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[23181, 37863])).
% 17.88/13.04 tff(37865,plain,((~(constB163 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.04 tff(37866,plain,
% 17.88/13.04 (~(constB163 = VarCurr!0)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37865, 37502])).
% 17.88/13.04 tff(37867,assumption,(constB61 = VarCurr!0), introduced(assumption)).
% 17.88/13.04 tff(37868,plain,
% 17.88/13.04 (v121(constB61, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37867])).
% 17.88/13.04 tff(37869,plain,
% 17.88/13.04 (v121(VarCurr!0, 2) <=> v121(constB61, 2)),
% 17.88/13.04 inference(symmetry,[status(thm)],[37868])).
% 17.88/13.04 tff(37870,plain,
% 17.88/13.04 ((~v121(VarCurr!0, 2)) <=> (~v121(constB61, 2))),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37869])).
% 17.88/13.04 tff(37871,plain,
% 17.88/13.04 (~v121(constB61, 2)),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37502, 37870])).
% 17.88/13.04 tff(37872,plain,
% 17.88/13.04 ($false),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[9603, 37871])).
% 17.88/13.04 tff(37873,plain,((~(constB61 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.04 tff(37874,plain,
% 17.88/13.04 (~(constB61 = VarCurr!0)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37873, 37502])).
% 17.88/13.04 tff(37875,assumption,(constB13 = VarCurr!0), introduced(assumption)).
% 17.88/13.04 tff(37876,plain,
% 17.88/13.04 (v121(constB13, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37875])).
% 17.88/13.04 tff(37877,plain,
% 17.88/13.04 (v121(VarCurr!0, 2) <=> v121(constB13, 2)),
% 17.88/13.04 inference(symmetry,[status(thm)],[37876])).
% 17.88/13.04 tff(37878,plain,
% 17.88/13.04 ((~v121(VarCurr!0, 2)) <=> (~v121(constB13, 2))),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37877])).
% 17.88/13.04 tff(37879,plain,
% 17.88/13.04 (~v121(constB13, 2)),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37502, 37878])).
% 17.88/13.04 tff(37880,plain,
% 17.88/13.04 ($false),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[3625, 37879])).
% 17.88/13.04 tff(37881,plain,((~(constB13 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.04 tff(37882,plain,
% 17.88/13.04 (~(constB13 = VarCurr!0)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37881, 37502])).
% 17.88/13.04 tff(37883,assumption,(constB123 = VarCurr!0), introduced(assumption)).
% 17.88/13.04 tff(37884,plain,
% 17.88/13.04 (v121(constB123, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37883])).
% 17.88/13.04 tff(37885,plain,
% 17.88/13.04 (v121(VarCurr!0, 2) <=> v121(constB123, 2)),
% 17.88/13.04 inference(symmetry,[status(thm)],[37884])).
% 17.88/13.04 tff(37886,plain,
% 17.88/13.04 ((~v121(VarCurr!0, 2)) <=> (~v121(constB123, 2))),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37885])).
% 17.88/13.04 tff(37887,plain,
% 17.88/13.04 (~v121(constB123, 2)),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37502, 37886])).
% 17.88/13.04 tff(37888,plain,
% 17.88/13.04 ($false),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[18330, 37887])).
% 17.88/13.04 tff(37889,plain,((~(constB123 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.04 tff(37890,plain,
% 17.88/13.04 (~(constB123 = VarCurr!0)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37889, 37502])).
% 17.88/13.04 tff(37891,assumption,(constB181 = VarCurr!0), introduced(assumption)).
% 17.88/13.04 tff(37892,plain,
% 17.88/13.04 (v121(constB181, 2) <=> v121(VarCurr!0, 2)),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37891])).
% 17.88/13.04 tff(37893,plain,
% 17.88/13.04 (v121(VarCurr!0, 2) <=> v121(constB181, 2)),
% 17.88/13.04 inference(symmetry,[status(thm)],[37892])).
% 17.88/13.04 tff(37894,plain,
% 17.88/13.04 ((~v121(VarCurr!0, 2)) <=> (~v121(constB181, 2))),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37893])).
% 17.88/13.04 tff(37895,plain,
% 17.88/13.04 (~v121(constB181, 2)),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37502, 37894])).
% 17.88/13.04 tff(37896,plain,
% 17.88/13.04 ($false),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[32659, 37895])).
% 17.88/13.04 tff(37897,plain,((~(constB181 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.04 tff(37898,plain,
% 17.88/13.04 (~(constB181 = VarCurr!0)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37897, 37502])).
% 17.88/13.04 tff(37899,assumption,(~(constB29 = VarCurr!0)), introduced(assumption)).
% 17.88/13.04 tff(37900,assumption,(constB75 = VarCurr!0), introduced(assumption)).
% 17.88/13.04 tff(37901,plain,
% 17.88/13.04 (v162(constB75) <=> v162(VarCurr!0)),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37900])).
% 17.88/13.04 tff(37902,plain,
% 17.88/13.04 (v162(VarCurr!0) <=> v162(constB75)),
% 17.88/13.04 inference(symmetry,[status(thm)],[37901])).
% 17.88/13.04 tff(37903,plain,
% 17.88/13.04 (v162(constB75)),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[59, 37902])).
% 17.88/13.04 tff(37904,plain,
% 17.88/13.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB74, constB75)) | (v162(constB75) <=> v160(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB74, constB75)) | (v162(constB75) <=> v160(constB74)))),
% 17.88/13.04 inference(rewrite,[status(thm)],[])).
% 17.88/13.04 tff(37905,plain,
% 17.88/13.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB74, constB75)) | (v162(constB75) <=> v160(constB74)))),
% 17.88/13.04 inference(quant_inst,[status(thm)],[])).
% 17.88/13.04 tff(37906,plain,
% 17.88/13.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB74, constB75)) | (v162(constB75) <=> v160(constB74))),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37905, 37904])).
% 17.88/13.04 tff(37907,plain,
% 17.88/13.04 (v162(constB75) <=> v160(constB74)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37906, 7139, 70])).
% 17.88/13.04 tff(37908,plain,
% 17.88/13.04 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB74) <=> (v163(constB74) | v164(constB74)))),
% 17.88/13.04 inference(quant_inst,[status(thm)],[])).
% 17.88/13.04 tff(37909,plain,
% 17.88/13.04 (v160(constB74) <=> (v163(constB74) | v164(constB74))),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37908, 84])).
% 17.88/13.04 tff(37910,plain,
% 17.88/13.04 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB74) <=> (~((~v130(constB74)) | (~v155(constB74)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB74) <=> (~((~v130(constB74)) | (~v155(constB74))))))),
% 17.88/13.04 inference(rewrite,[status(thm)],[])).
% 17.88/13.04 tff(37911,plain,
% 17.88/13.04 ((v164(constB74) <=> (~((~v155(constB74)) | (~v130(constB74))))) <=> (v164(constB74) <=> (~((~v130(constB74)) | (~v155(constB74)))))),
% 17.88/13.04 inference(rewrite,[status(thm)],[])).
% 17.88/13.04 tff(37912,plain,
% 17.88/13.04 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB74) <=> (~((~v155(constB74)) | (~v130(constB74)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB74) <=> (~((~v130(constB74)) | (~v155(constB74))))))),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37911])).
% 17.88/13.04 tff(37913,plain,
% 17.88/13.04 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB74) <=> (~((~v155(constB74)) | (~v130(constB74)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB74) <=> (~((~v130(constB74)) | (~v155(constB74))))))),
% 17.88/13.04 inference(transitivity,[status(thm)],[37912, 37910])).
% 17.88/13.04 tff(37914,plain,
% 17.88/13.04 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB74) <=> (~((~v155(constB74)) | (~v130(constB74)))))),
% 17.88/13.04 inference(quant_inst,[status(thm)],[])).
% 17.88/13.04 tff(37915,plain,
% 17.88/13.04 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB74) <=> (~((~v130(constB74)) | (~v155(constB74)))))),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37914, 37913])).
% 17.88/13.04 tff(37916,plain,
% 17.88/13.04 (v164(constB74) <=> (~((~v130(constB74)) | (~v155(constB74))))),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37915, 96])).
% 17.88/13.04 tff(37917,plain,
% 17.88/13.04 (((~v130(constB74)) | (~v155(constB74))) | v155(constB74)),
% 17.88/13.04 inference(tautology,[status(thm)],[])).
% 17.88/13.04 tff(37918,plain,
% 17.88/13.04 ((~v130(constB74)) | (~v155(constB74))),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37917, 28699])).
% 17.88/13.04 tff(37919,plain,
% 17.88/13.04 ((~(v164(constB74) <=> (~((~v130(constB74)) | (~v155(constB74)))))) | (~v164(constB74)) | (~((~v130(constB74)) | (~v155(constB74))))),
% 17.88/13.04 inference(tautology,[status(thm)],[])).
% 17.88/13.04 tff(37920,plain,
% 17.88/13.04 (~v164(constB74)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37919, 37918, 37916])).
% 17.88/13.04 tff(37921,plain,
% 17.88/13.04 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB74) <=> (~((~v128(constB74)) | (~v139(constB74)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB74) <=> (~((~v128(constB74)) | (~v139(constB74))))))),
% 17.88/13.04 inference(rewrite,[status(thm)],[])).
% 17.88/13.04 tff(37922,plain,
% 17.88/13.04 ((v163(constB74) <=> (~((~v139(constB74)) | (~v128(constB74))))) <=> (v163(constB74) <=> (~((~v128(constB74)) | (~v139(constB74)))))),
% 17.88/13.04 inference(rewrite,[status(thm)],[])).
% 17.88/13.04 tff(37923,plain,
% 17.88/13.04 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB74) <=> (~((~v139(constB74)) | (~v128(constB74)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB74) <=> (~((~v128(constB74)) | (~v139(constB74))))))),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37922])).
% 17.88/13.04 tff(37924,plain,
% 17.88/13.04 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB74) <=> (~((~v139(constB74)) | (~v128(constB74)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB74) <=> (~((~v128(constB74)) | (~v139(constB74))))))),
% 17.88/13.04 inference(transitivity,[status(thm)],[37923, 37921])).
% 17.88/13.04 tff(37925,plain,
% 17.88/13.04 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB74) <=> (~((~v139(constB74)) | (~v128(constB74)))))),
% 17.88/13.04 inference(quant_inst,[status(thm)],[])).
% 17.88/13.04 tff(37926,plain,
% 17.88/13.04 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB74) <=> (~((~v128(constB74)) | (~v139(constB74)))))),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37925, 37924])).
% 17.88/13.04 tff(37927,plain,
% 17.88/13.04 (v163(constB74) <=> (~((~v128(constB74)) | (~v139(constB74))))),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37926, 171])).
% 17.88/13.04 tff(37928,plain,
% 17.88/13.04 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB74) <=> v162(constB74))),
% 17.88/13.04 inference(quant_inst,[status(thm)],[])).
% 17.88/13.04 tff(37929,plain,
% 17.88/13.04 (v128(constB74) <=> v162(constB74)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37928, 13])).
% 17.88/13.04 tff(37930,plain,
% 17.88/13.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB73, constB74)) | (v162(constB74) <=> v160(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB73, constB74)) | (v162(constB74) <=> v160(constB73)))),
% 17.88/13.04 inference(rewrite,[status(thm)],[])).
% 17.88/13.04 tff(37931,plain,
% 17.88/13.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB73, constB74)) | (v162(constB74) <=> v160(constB73)))),
% 17.88/13.04 inference(quant_inst,[status(thm)],[])).
% 17.88/13.04 tff(37932,plain,
% 17.88/13.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB73, constB74)) | (v162(constB74) <=> v160(constB73))),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37931, 37930])).
% 17.88/13.04 tff(37933,plain,
% 17.88/13.04 (v162(constB74) <=> v160(constB73)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37932, 7175, 70])).
% 17.88/13.04 tff(37934,plain,
% 17.88/13.04 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB73) <=> (v163(constB73) | v164(constB73)))),
% 17.88/13.04 inference(quant_inst,[status(thm)],[])).
% 17.88/13.04 tff(37935,plain,
% 17.88/13.04 (v160(constB73) <=> (v163(constB73) | v164(constB73))),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37934, 84])).
% 17.88/13.04 tff(37936,plain,
% 17.88/13.04 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB73) <=> (~((~v128(constB73)) | (~v139(constB73)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB73) <=> (~((~v128(constB73)) | (~v139(constB73))))))),
% 17.88/13.04 inference(rewrite,[status(thm)],[])).
% 17.88/13.04 tff(37937,plain,
% 17.88/13.04 ((v163(constB73) <=> (~((~v139(constB73)) | (~v128(constB73))))) <=> (v163(constB73) <=> (~((~v128(constB73)) | (~v139(constB73)))))),
% 17.88/13.04 inference(rewrite,[status(thm)],[])).
% 17.88/13.04 tff(37938,plain,
% 17.88/13.04 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB73) <=> (~((~v139(constB73)) | (~v128(constB73)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB73) <=> (~((~v128(constB73)) | (~v139(constB73))))))),
% 17.88/13.04 inference(monotonicity,[status(thm)],[37937])).
% 17.88/13.04 tff(37939,plain,
% 17.88/13.04 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB73) <=> (~((~v139(constB73)) | (~v128(constB73)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB73) <=> (~((~v128(constB73)) | (~v139(constB73))))))),
% 17.88/13.04 inference(transitivity,[status(thm)],[37938, 37936])).
% 17.88/13.04 tff(37940,plain,
% 17.88/13.04 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB73) <=> (~((~v139(constB73)) | (~v128(constB73)))))),
% 17.88/13.04 inference(quant_inst,[status(thm)],[])).
% 17.88/13.04 tff(37941,plain,
% 17.88/13.04 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB73) <=> (~((~v128(constB73)) | (~v139(constB73)))))),
% 17.88/13.04 inference(modus_ponens,[status(thm)],[37940, 37939])).
% 17.88/13.04 tff(37942,plain,
% 17.88/13.04 (v163(constB73) <=> (~((~v128(constB73)) | (~v139(constB73))))),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37941, 171])).
% 17.88/13.04 tff(37943,plain,
% 17.88/13.04 (((~v128(constB73)) | (~v139(constB73))) | v139(constB73)),
% 17.88/13.04 inference(tautology,[status(thm)],[])).
% 17.88/13.04 tff(37944,plain,
% 17.88/13.04 ((~v128(constB73)) | (~v139(constB73))),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37943, 28787])).
% 17.88/13.04 tff(37945,plain,
% 17.88/13.04 ((~(v163(constB73) <=> (~((~v128(constB73)) | (~v139(constB73)))))) | (~v163(constB73)) | (~((~v128(constB73)) | (~v139(constB73))))),
% 17.88/13.04 inference(tautology,[status(thm)],[])).
% 17.88/13.04 tff(37946,plain,
% 17.88/13.04 (~v163(constB73)),
% 17.88/13.04 inference(unit_resolution,[status(thm)],[37945, 37944, 37942])).
% 17.88/13.04 tff(37947,plain,
% 17.88/13.04 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB73) <=> (~((~v130(constB73)) | (~v155(constB73)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB73) <=> (~((~v130(constB73)) | (~v155(constB73))))))),
% 17.88/13.05 inference(rewrite,[status(thm)],[])).
% 17.88/13.05 tff(37948,plain,
% 17.88/13.05 ((v164(constB73) <=> (~((~v155(constB73)) | (~v130(constB73))))) <=> (v164(constB73) <=> (~((~v130(constB73)) | (~v155(constB73)))))),
% 17.88/13.05 inference(rewrite,[status(thm)],[])).
% 17.88/13.05 tff(37949,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB73) <=> (~((~v155(constB73)) | (~v130(constB73)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB73) <=> (~((~v130(constB73)) | (~v155(constB73))))))),
% 17.88/13.05 inference(monotonicity,[status(thm)],[37948])).
% 17.88/13.05 tff(37950,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB73) <=> (~((~v155(constB73)) | (~v130(constB73)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB73) <=> (~((~v130(constB73)) | (~v155(constB73))))))),
% 17.88/13.05 inference(transitivity,[status(thm)],[37949, 37947])).
% 17.88/13.05 tff(37951,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB73) <=> (~((~v155(constB73)) | (~v130(constB73)))))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(37952,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB73) <=> (~((~v130(constB73)) | (~v155(constB73)))))),
% 17.88/13.05 inference(modus_ponens,[status(thm)],[37951, 37950])).
% 17.88/13.05 tff(37953,plain,
% 17.88/13.05 (v164(constB73) <=> (~((~v130(constB73)) | (~v155(constB73))))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[37952, 96])).
% 17.88/13.05 tff(37954,plain,
% 17.88/13.05 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB73) <=> v152(constB73))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(37955,plain,
% 17.88/13.05 (v130(constB73) <=> v152(constB73)),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[37954, 361])).
% 17.88/13.05 tff(37956,plain,
% 17.88/13.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB72, constB73)) | (v152(constB73) <=> v150(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB72, constB73)) | (v152(constB73) <=> v150(constB72)))),
% 17.88/13.05 inference(rewrite,[status(thm)],[])).
% 17.88/13.05 tff(37957,plain,
% 17.88/13.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB72, constB73)) | (v152(constB73) <=> v150(constB72)))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(37958,plain,
% 17.88/13.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB72, constB73)) | (v152(constB73) <=> v150(constB72))),
% 17.88/13.05 inference(modus_ponens,[status(thm)],[37957, 37956])).
% 17.88/13.05 tff(37959,plain,
% 17.88/13.05 (v152(constB73) <=> v150(constB72)),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[37958, 7205, 373])).
% 17.88/13.05 tff(37960,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB72) <=> (v153(constB72) | v154(constB72)))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(37961,plain,
% 17.88/13.05 (v150(constB72) <=> (v153(constB72) | v154(constB72))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[37960, 387])).
% 17.88/13.05 tff(37962,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB72) <=> (~((~v132(constB72)) | (~v155(constB72)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB72) <=> (~((~v132(constB72)) | (~v155(constB72))))))),
% 17.88/13.05 inference(rewrite,[status(thm)],[])).
% 17.88/13.05 tff(37963,plain,
% 17.88/13.05 ((v154(constB72) <=> (~((~v155(constB72)) | (~v132(constB72))))) <=> (v154(constB72) <=> (~((~v132(constB72)) | (~v155(constB72)))))),
% 17.88/13.05 inference(rewrite,[status(thm)],[])).
% 17.88/13.05 tff(37964,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB72) <=> (~((~v155(constB72)) | (~v132(constB72)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB72) <=> (~((~v132(constB72)) | (~v155(constB72))))))),
% 17.88/13.05 inference(monotonicity,[status(thm)],[37963])).
% 17.88/13.05 tff(37965,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB72) <=> (~((~v155(constB72)) | (~v132(constB72)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB72) <=> (~((~v132(constB72)) | (~v155(constB72))))))),
% 17.88/13.05 inference(transitivity,[status(thm)],[37964, 37962])).
% 17.88/13.05 tff(37966,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB72) <=> (~((~v155(constB72)) | (~v132(constB72)))))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(37967,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB72) <=> (~((~v132(constB72)) | (~v155(constB72)))))),
% 17.88/13.05 inference(modus_ponens,[status(thm)],[37966, 37965])).
% 17.88/13.05 tff(37968,plain,
% 17.88/13.05 (v154(constB72) <=> (~((~v132(constB72)) | (~v155(constB72))))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[37967, 399])).
% 17.88/13.05 tff(37969,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB72) <=> (~((~v141(constB72)) | (~v143(constB72)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB72) <=> (~((~v141(constB72)) | (~v143(constB72))))))),
% 17.88/13.05 inference(rewrite,[status(thm)],[])).
% 17.88/13.05 tff(37970,plain,
% 17.88/13.05 ((v155(constB72) <=> (~((~v143(constB72)) | (~v141(constB72))))) <=> (v155(constB72) <=> (~((~v141(constB72)) | (~v143(constB72)))))),
% 17.88/13.05 inference(rewrite,[status(thm)],[])).
% 17.88/13.05 tff(37971,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB72) <=> (~((~v143(constB72)) | (~v141(constB72)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB72) <=> (~((~v141(constB72)) | (~v143(constB72))))))),
% 17.88/13.05 inference(monotonicity,[status(thm)],[37970])).
% 17.88/13.05 tff(37972,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB72) <=> (~((~v143(constB72)) | (~v141(constB72)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB72) <=> (~((~v141(constB72)) | (~v143(constB72))))))),
% 17.88/13.05 inference(transitivity,[status(thm)],[37971, 37969])).
% 17.88/13.05 tff(37973,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB72) <=> (~((~v143(constB72)) | (~v141(constB72)))))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(37974,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB72) <=> (~((~v141(constB72)) | (~v143(constB72)))))),
% 17.88/13.05 inference(modus_ponens,[status(thm)],[37973, 37972])).
% 17.88/13.05 tff(37975,plain,
% 17.88/13.05 (v155(constB72) <=> (~((~v141(constB72)) | (~v143(constB72))))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[37974, 113])).
% 17.88/13.05 tff(37976,plain,
% 17.88/13.05 (((~v141(constB72)) | (~v143(constB72))) | v141(constB72)),
% 17.88/13.05 inference(tautology,[status(thm)],[])).
% 17.88/13.05 tff(37977,plain,
% 17.88/13.05 ((~v141(constB72)) | (~v143(constB72))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[37976, 28822])).
% 17.88/13.05 tff(37978,plain,
% 17.88/13.05 ((~(v155(constB72) <=> (~((~v141(constB72)) | (~v143(constB72)))))) | (~v155(constB72)) | (~((~v141(constB72)) | (~v143(constB72))))),
% 17.88/13.05 inference(tautology,[status(thm)],[])).
% 17.88/13.05 tff(37979,plain,
% 17.88/13.05 ((~(v155(constB72) <=> (~((~v141(constB72)) | (~v143(constB72)))))) | (~v155(constB72))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[37978, 37977])).
% 17.88/13.05 tff(37980,plain,
% 17.88/13.05 (~v155(constB72)),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[37979, 37975])).
% 17.88/13.05 tff(37981,plain,
% 17.88/13.05 (((~v132(constB72)) | (~v155(constB72))) | v155(constB72)),
% 17.88/13.05 inference(tautology,[status(thm)],[])).
% 17.88/13.05 tff(37982,plain,
% 17.88/13.05 ((~v132(constB72)) | (~v155(constB72))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[37981, 37980])).
% 17.88/13.05 tff(37983,plain,
% 17.88/13.05 ((~(v154(constB72) <=> (~((~v132(constB72)) | (~v155(constB72)))))) | (~v154(constB72)) | (~((~v132(constB72)) | (~v155(constB72))))),
% 17.88/13.05 inference(tautology,[status(thm)],[])).
% 17.88/13.05 tff(37984,plain,
% 17.88/13.05 (~v154(constB72)),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[37983, 37982, 37968])).
% 17.88/13.05 tff(37985,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB72) <=> (~((~v130(constB72)) | (~v139(constB72)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB72) <=> (~((~v130(constB72)) | (~v139(constB72))))))),
% 17.88/13.05 inference(rewrite,[status(thm)],[])).
% 17.88/13.05 tff(37986,plain,
% 17.88/13.05 ((v153(constB72) <=> (~((~v139(constB72)) | (~v130(constB72))))) <=> (v153(constB72) <=> (~((~v130(constB72)) | (~v139(constB72)))))),
% 17.88/13.05 inference(rewrite,[status(thm)],[])).
% 17.88/13.05 tff(37987,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB72) <=> (~((~v139(constB72)) | (~v130(constB72)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB72) <=> (~((~v130(constB72)) | (~v139(constB72))))))),
% 17.88/13.05 inference(monotonicity,[status(thm)],[37986])).
% 17.88/13.05 tff(37988,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB72) <=> (~((~v139(constB72)) | (~v130(constB72)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB72) <=> (~((~v130(constB72)) | (~v139(constB72))))))),
% 17.88/13.05 inference(transitivity,[status(thm)],[37987, 37985])).
% 17.88/13.05 tff(37989,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB72) <=> (~((~v139(constB72)) | (~v130(constB72)))))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(37990,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB72) <=> (~((~v130(constB72)) | (~v139(constB72)))))),
% 17.88/13.05 inference(modus_ponens,[status(thm)],[37989, 37988])).
% 17.88/13.05 tff(37991,plain,
% 17.88/13.05 (v153(constB72) <=> (~((~v130(constB72)) | (~v139(constB72))))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[37990, 447])).
% 17.88/13.05 tff(37992,plain,
% 17.88/13.05 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB72) <=> v152(constB72))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(37993,plain,
% 17.88/13.05 (v130(constB72) <=> v152(constB72)),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[37992, 361])).
% 17.88/13.05 tff(37994,plain,
% 17.88/13.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB71, constB72)) | (v152(constB72) <=> v150(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB71, constB72)) | (v152(constB72) <=> v150(constB71)))),
% 17.88/13.05 inference(rewrite,[status(thm)],[])).
% 17.88/13.05 tff(37995,plain,
% 17.88/13.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB71, constB72)) | (v152(constB72) <=> v150(constB71)))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(37996,plain,
% 17.88/13.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB71, constB72)) | (v152(constB72) <=> v150(constB71))),
% 17.88/13.05 inference(modus_ponens,[status(thm)],[37995, 37994])).
% 17.88/13.05 tff(37997,plain,
% 17.88/13.05 (v152(constB72) <=> v150(constB71)),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[37996, 7241, 373])).
% 17.88/13.05 tff(37998,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB71) <=> (v153(constB71) | v154(constB71)))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(37999,plain,
% 17.88/13.05 (v150(constB71) <=> (v153(constB71) | v154(constB71))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[37998, 387])).
% 17.88/13.05 tff(38000,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB71) <=> (~((~v130(constB71)) | (~v139(constB71)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB71) <=> (~((~v130(constB71)) | (~v139(constB71))))))),
% 17.88/13.05 inference(rewrite,[status(thm)],[])).
% 17.88/13.05 tff(38001,plain,
% 17.88/13.05 ((v153(constB71) <=> (~((~v139(constB71)) | (~v130(constB71))))) <=> (v153(constB71) <=> (~((~v130(constB71)) | (~v139(constB71)))))),
% 17.88/13.05 inference(rewrite,[status(thm)],[])).
% 17.88/13.05 tff(38002,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB71) <=> (~((~v139(constB71)) | (~v130(constB71)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB71) <=> (~((~v130(constB71)) | (~v139(constB71))))))),
% 17.88/13.05 inference(monotonicity,[status(thm)],[38001])).
% 17.88/13.05 tff(38003,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB71) <=> (~((~v139(constB71)) | (~v130(constB71)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB71) <=> (~((~v130(constB71)) | (~v139(constB71))))))),
% 17.88/13.05 inference(transitivity,[status(thm)],[38002, 38000])).
% 17.88/13.05 tff(38004,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB71) <=> (~((~v139(constB71)) | (~v130(constB71)))))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(38005,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB71) <=> (~((~v130(constB71)) | (~v139(constB71)))))),
% 17.88/13.05 inference(modus_ponens,[status(thm)],[38004, 38003])).
% 17.88/13.05 tff(38006,plain,
% 17.88/13.05 (v153(constB71) <=> (~((~v130(constB71)) | (~v139(constB71))))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[38005, 447])).
% 17.88/13.05 tff(38007,plain,
% 17.88/13.05 (((~v130(constB71)) | (~v139(constB71))) | v139(constB71)),
% 17.88/13.05 inference(tautology,[status(thm)],[])).
% 17.88/13.05 tff(38008,plain,
% 17.88/13.05 ((~v130(constB71)) | (~v139(constB71))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[38007, 28915])).
% 17.88/13.05 tff(38009,plain,
% 17.88/13.05 ((~(v153(constB71) <=> (~((~v130(constB71)) | (~v139(constB71)))))) | (~v153(constB71)) | (~((~v130(constB71)) | (~v139(constB71))))),
% 17.88/13.05 inference(tautology,[status(thm)],[])).
% 17.88/13.05 tff(38010,plain,
% 17.88/13.05 (~v153(constB71)),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[38009, 38008, 38006])).
% 17.88/13.05 tff(38011,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB71) <=> (~((~v132(constB71)) | (~v155(constB71)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB71) <=> (~((~v132(constB71)) | (~v155(constB71))))))),
% 17.88/13.05 inference(rewrite,[status(thm)],[])).
% 17.88/13.05 tff(38012,plain,
% 17.88/13.05 ((v154(constB71) <=> (~((~v155(constB71)) | (~v132(constB71))))) <=> (v154(constB71) <=> (~((~v132(constB71)) | (~v155(constB71)))))),
% 17.88/13.05 inference(rewrite,[status(thm)],[])).
% 17.88/13.05 tff(38013,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB71) <=> (~((~v155(constB71)) | (~v132(constB71)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB71) <=> (~((~v132(constB71)) | (~v155(constB71))))))),
% 17.88/13.05 inference(monotonicity,[status(thm)],[38012])).
% 17.88/13.05 tff(38014,plain,
% 17.88/13.05 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB71) <=> (~((~v155(constB71)) | (~v132(constB71)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB71) <=> (~((~v132(constB71)) | (~v155(constB71))))))),
% 17.88/13.05 inference(transitivity,[status(thm)],[38013, 38011])).
% 17.88/13.05 tff(38015,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB71) <=> (~((~v155(constB71)) | (~v132(constB71)))))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(38016,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB71) <=> (~((~v132(constB71)) | (~v155(constB71)))))),
% 17.88/13.05 inference(modus_ponens,[status(thm)],[38015, 38014])).
% 17.88/13.05 tff(38017,plain,
% 17.88/13.05 (v154(constB71) <=> (~((~v132(constB71)) | (~v155(constB71))))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[38016, 399])).
% 17.88/13.05 tff(38018,plain,
% 17.88/13.05 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB71) <=> v137(constB71))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(38019,plain,
% 17.88/13.05 (v132(constB71) <=> v137(constB71)),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[38018, 558])).
% 17.88/13.05 tff(38020,plain,
% 17.88/13.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB70, constB71)) | (v137(constB71) <=> v135(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB70, constB71)) | (v137(constB71) <=> v135(constB70)))),
% 17.88/13.05 inference(rewrite,[status(thm)],[])).
% 17.88/13.05 tff(38021,plain,
% 17.88/13.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB70, constB71)) | (v137(constB71) <=> v135(constB70)))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(38022,plain,
% 17.88/13.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB70, constB71)) | (v137(constB71) <=> v135(constB70))),
% 17.88/13.05 inference(modus_ponens,[status(thm)],[38021, 38020])).
% 17.88/13.05 tff(38023,plain,
% 17.88/13.05 (v137(constB71) <=> v135(constB70)),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[38022, 7266, 570])).
% 17.88/13.05 tff(38024,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB70) <=> (v138(constB70) | v142(constB70)))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(38025,plain,
% 17.88/13.05 (v135(constB70) <=> (v138(constB70) | v142(constB70))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[38024, 584])).
% 17.88/13.05 tff(38026,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB70) <=> (~((~v143(constB70)) | (~v144(constB70)))))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(38027,plain,
% 17.88/13.05 (v142(constB70) <=> (~((~v143(constB70)) | (~v144(constB70))))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[38026, 596])).
% 17.88/13.05 tff(38028,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB70) <=> (~((~v141(constB70)) | (~v145(constB70)))))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(38029,plain,
% 17.88/13.05 (v144(constB70) <=> (~((~v141(constB70)) | (~v145(constB70))))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[38028, 608])).
% 17.88/13.05 tff(38030,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(38031,plain,
% 17.88/13.05 (v141(constB70) <=> (~((~v39(constB70)) | (~v9(constB70))))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[38030, 130])).
% 17.88/13.05 tff(38032,plain,
% 17.88/13.05 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB70)) <=> v1(constB70))),
% 17.88/13.05 inference(quant_inst,[status(thm)],[])).
% 17.88/13.05 tff(38033,plain,
% 17.88/13.05 ((~v39(constB70)) <=> v1(constB70)),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[38032, 139])).
% 17.88/13.05 tff(38034,plain,
% 17.88/13.05 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70)) | (~v1(constB70))),
% 17.88/13.05 inference(tautology,[status(thm)],[])).
% 17.88/13.05 tff(38035,plain,
% 17.88/13.05 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70))),
% 17.88/13.05 inference(unit_resolution,[status(thm)],[38034, 10273])).
% 17.88/13.05 tff(38036,plain,
% 17.88/13.05 (~v39(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38035, 38033])).
% 17.88/13.06 tff(38037,plain,
% 17.88/13.06 (((~v39(constB70)) | (~v9(constB70))) | v39(constB70)),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38038,plain,
% 17.88/13.06 ((~v39(constB70)) | (~v9(constB70))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38037, 38036])).
% 17.88/13.06 tff(38039,plain,
% 17.88/13.06 ((~(v141(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v141(constB70)) | (~((~v39(constB70)) | (~v9(constB70))))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38040,plain,
% 17.88/13.06 ((~(v141(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v141(constB70))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38039, 38038])).
% 17.88/13.06 tff(38041,plain,
% 17.88/13.06 (~v141(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38040, 38031])).
% 17.88/13.06 tff(38042,plain,
% 17.88/13.06 (((~v141(constB70)) | (~v145(constB70))) | v141(constB70)),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38043,plain,
% 17.88/13.06 ((~v141(constB70)) | (~v145(constB70))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38042, 38041])).
% 17.88/13.06 tff(38044,plain,
% 17.88/13.06 ((~(v144(constB70) <=> (~((~v141(constB70)) | (~v145(constB70)))))) | (~v144(constB70)) | (~((~v141(constB70)) | (~v145(constB70))))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38045,plain,
% 17.88/13.06 ((~(v144(constB70) <=> (~((~v141(constB70)) | (~v145(constB70)))))) | (~v144(constB70))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38044, 38043])).
% 17.88/13.06 tff(38046,plain,
% 17.88/13.06 (~v144(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38045, 38029])).
% 17.88/13.06 tff(38047,plain,
% 17.88/13.06 (((~v143(constB70)) | (~v144(constB70))) | v144(constB70)),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38048,plain,
% 17.88/13.06 ((~v143(constB70)) | (~v144(constB70))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38047, 38046])).
% 17.88/13.06 tff(38049,plain,
% 17.88/13.06 ((~(v142(constB70) <=> (~((~v143(constB70)) | (~v144(constB70)))))) | (~v142(constB70)) | (~((~v143(constB70)) | (~v144(constB70))))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38050,plain,
% 17.88/13.06 (~v142(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38049, 38048, 38027])).
% 17.88/13.06 tff(38051,plain,
% 17.88/13.06 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB70) <=> (~((~v132(constB70)) | (~v139(constB70)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB70) <=> (~((~v132(constB70)) | (~v139(constB70))))))),
% 17.88/13.06 inference(rewrite,[status(thm)],[])).
% 17.88/13.06 tff(38052,plain,
% 17.88/13.06 ((v138(constB70) <=> (~((~v139(constB70)) | (~v132(constB70))))) <=> (v138(constB70) <=> (~((~v132(constB70)) | (~v139(constB70)))))),
% 17.88/13.06 inference(rewrite,[status(thm)],[])).
% 17.88/13.06 tff(38053,plain,
% 17.88/13.06 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB70) <=> (~((~v139(constB70)) | (~v132(constB70)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB70) <=> (~((~v132(constB70)) | (~v139(constB70))))))),
% 17.88/13.06 inference(monotonicity,[status(thm)],[38052])).
% 17.88/13.06 tff(38054,plain,
% 17.88/13.06 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB70) <=> (~((~v139(constB70)) | (~v132(constB70)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB70) <=> (~((~v132(constB70)) | (~v139(constB70))))))),
% 17.88/13.06 inference(transitivity,[status(thm)],[38053, 38051])).
% 17.88/13.06 tff(38055,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB70) <=> (~((~v139(constB70)) | (~v132(constB70)))))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38056,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB70) <=> (~((~v132(constB70)) | (~v139(constB70)))))),
% 17.88/13.06 inference(modus_ponens,[status(thm)],[38055, 38054])).
% 17.88/13.06 tff(38057,plain,
% 17.88/13.06 (v138(constB70) <=> (~((~v132(constB70)) | (~v139(constB70))))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38056, 644])).
% 17.88/13.06 tff(38058,plain,
% 17.88/13.06 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB70) <=> v137(constB70))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38059,plain,
% 17.88/13.06 (v132(constB70) <=> v137(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38058, 558])).
% 17.88/13.06 tff(38060,plain,
% 17.88/13.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB69, constB70)) | (v137(constB70) <=> v135(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB69, constB70)) | (v137(constB70) <=> v135(constB69)))),
% 17.88/13.06 inference(rewrite,[status(thm)],[])).
% 17.88/13.06 tff(38061,plain,
% 17.88/13.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB69, constB70)) | (v137(constB70) <=> v135(constB69)))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38062,plain,
% 17.88/13.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB69, constB70)) | (v137(constB70) <=> v135(constB69))),
% 17.88/13.06 inference(modus_ponens,[status(thm)],[38061, 38060])).
% 17.88/13.06 tff(38063,plain,
% 17.88/13.06 (v137(constB70) <=> v135(constB69)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38062, 7302, 570])).
% 17.88/13.06 tff(38064,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB69) <=> (v138(constB69) | v142(constB69)))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38065,plain,
% 17.88/13.06 (v135(constB69) <=> (v138(constB69) | v142(constB69))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38064, 584])).
% 17.88/13.06 tff(38066,plain,
% 17.88/13.06 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB69) <=> (~((~v132(constB69)) | (~v139(constB69)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB69) <=> (~((~v132(constB69)) | (~v139(constB69))))))),
% 17.88/13.06 inference(rewrite,[status(thm)],[])).
% 17.88/13.06 tff(38067,plain,
% 17.88/13.06 ((v138(constB69) <=> (~((~v139(constB69)) | (~v132(constB69))))) <=> (v138(constB69) <=> (~((~v132(constB69)) | (~v139(constB69)))))),
% 17.88/13.06 inference(rewrite,[status(thm)],[])).
% 17.88/13.06 tff(38068,plain,
% 17.88/13.06 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB69) <=> (~((~v139(constB69)) | (~v132(constB69)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB69) <=> (~((~v132(constB69)) | (~v139(constB69))))))),
% 17.88/13.06 inference(monotonicity,[status(thm)],[38067])).
% 17.88/13.06 tff(38069,plain,
% 17.88/13.06 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB69) <=> (~((~v139(constB69)) | (~v132(constB69)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB69) <=> (~((~v132(constB69)) | (~v139(constB69))))))),
% 17.88/13.06 inference(transitivity,[status(thm)],[38068, 38066])).
% 17.88/13.06 tff(38070,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB69) <=> (~((~v139(constB69)) | (~v132(constB69)))))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38071,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB69) <=> (~((~v132(constB69)) | (~v139(constB69)))))),
% 17.88/13.06 inference(modus_ponens,[status(thm)],[38070, 38069])).
% 17.88/13.06 tff(38072,plain,
% 17.88/13.06 (v138(constB69) <=> (~((~v132(constB69)) | (~v139(constB69))))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38071, 644])).
% 17.88/13.06 tff(38073,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB69)) <=> v140(constB69))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38074,plain,
% 17.88/13.06 ((~v139(constB69)) <=> v140(constB69)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38073, 203])).
% 17.88/13.06 tff(38075,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB69) <=> (v141(constB69) | v26(constB69)))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38076,plain,
% 17.88/13.06 (v140(constB69) <=> (v141(constB69) | v26(constB69))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38075, 212])).
% 17.88/13.06 tff(38077,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB69) <=> (~((~v39(constB69)) | (~v9(constB69)))))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38078,plain,
% 17.88/13.06 (v141(constB69) <=> (~((~v39(constB69)) | (~v9(constB69))))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38077, 130])).
% 17.88/13.06 tff(38079,plain,
% 17.88/13.06 (((~![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)))),
% 17.88/13.06 inference(rewrite,[status(thm)],[])).
% 17.88/13.06 tff(38080,plain,
% 17.88/13.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69)))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38081,plain,
% 17.88/13.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69))),
% 17.88/13.06 inference(modus_ponens,[status(thm)],[38080, 38079])).
% 17.88/13.06 tff(38082,plain,
% 17.88/13.06 (v13(constB70) <=> v9(constB69)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38081, 7302, 226])).
% 17.88/13.06 tff(38083,plain,
% 17.88/13.06 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB70) <=> v13(constB70))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38084,plain,
% 17.88/13.06 (v6(constB70) <=> v13(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38083, 240])).
% 17.88/13.06 tff(38085,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB70)) <=> v6(constB70))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38086,plain,
% 17.88/13.06 ((~v21(constB70)) <=> v6(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38085, 249])).
% 17.88/13.06 tff(38087,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB70) <=> (v20(constB70) | v21(constB70)))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38088,plain,
% 17.88/13.06 (v19(constB70) <=> (v20(constB70) | v21(constB70))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38087, 258])).
% 17.88/13.06 tff(38089,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70)))))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38090,plain,
% 17.88/13.06 (v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70))))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38089, 270])).
% 17.88/13.06 tff(38091,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB70)) <=> v18(constB70))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38092,plain,
% 17.88/13.06 ((~v4(constB70)) <=> v18(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38091, 279])).
% 17.88/13.06 tff(38093,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB70)),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38094,plain,
% 17.88/13.06 (v4(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38093, 288])).
% 17.88/13.06 tff(38095,plain,
% 17.88/13.06 ((~((~v4(constB70)) <=> v18(constB70))) | (~v4(constB70)) | (~v18(constB70))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38096,plain,
% 17.88/13.06 (~v18(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38095, 38094, 38092])).
% 17.88/13.06 tff(38097,plain,
% 17.88/13.06 ((~(v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70)))))) | v18(constB70) | ((~v19(constB70)) | (~v22(constB70)))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38098,plain,
% 17.88/13.06 ((~v19(constB70)) | (~v22(constB70))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38097, 38096, 38090])).
% 17.88/13.06 tff(38099,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB70) <=> (v1(constB70) | v6(constB70)))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38100,plain,
% 17.88/13.06 (v22(constB70) <=> (v1(constB70) | v6(constB70))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38099, 301])).
% 17.88/13.06 tff(38101,plain,
% 17.88/13.06 ((v1(constB70) | v6(constB70)) | (~v1(constB70))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38102,plain,
% 17.88/13.06 (v1(constB70) | v6(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38101, 10273])).
% 17.88/13.06 tff(38103,plain,
% 17.88/13.06 ((~(v22(constB70) <=> (v1(constB70) | v6(constB70)))) | v22(constB70) | (~(v1(constB70) | v6(constB70)))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38104,plain,
% 17.88/13.06 ((~(v22(constB70) <=> (v1(constB70) | v6(constB70)))) | v22(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38103, 38102])).
% 17.88/13.06 tff(38105,plain,
% 17.88/13.06 (v22(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38104, 38100])).
% 17.88/13.06 tff(38106,plain,
% 17.88/13.06 ((~((~v19(constB70)) | (~v22(constB70)))) | (~v19(constB70)) | (~v22(constB70))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38107,plain,
% 17.88/13.06 ((~((~v19(constB70)) | (~v22(constB70)))) | (~v19(constB70))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38106, 38105])).
% 17.88/13.06 tff(38108,plain,
% 17.88/13.06 (~v19(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38107, 38098])).
% 17.88/13.06 tff(38109,plain,
% 17.88/13.06 ((~(v19(constB70) <=> (v20(constB70) | v21(constB70)))) | v19(constB70) | (~(v20(constB70) | v21(constB70)))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38110,plain,
% 17.88/13.06 (~(v20(constB70) | v21(constB70))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38109, 38108, 38088])).
% 17.88/13.06 tff(38111,plain,
% 17.88/13.06 ((v20(constB70) | v21(constB70)) | (~v21(constB70))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38112,plain,
% 17.88/13.06 (~v21(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38111, 38110])).
% 17.88/13.06 tff(38113,plain,
% 17.88/13.06 ((~((~v21(constB70)) <=> v6(constB70))) | v21(constB70) | v6(constB70)),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38114,plain,
% 17.88/13.06 (v6(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38113, 38112, 38086])).
% 17.88/13.06 tff(38115,plain,
% 17.88/13.06 ((~(v6(constB70) <=> v13(constB70))) | (~v6(constB70)) | v13(constB70)),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38116,plain,
% 17.88/13.06 (v13(constB70)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38115, 38114, 38084])).
% 17.88/13.06 tff(38117,plain,
% 17.88/13.06 ((~(v13(constB70) <=> v9(constB69))) | (~v13(constB70)) | v9(constB69)),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38118,plain,
% 17.88/13.06 (v9(constB69)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38117, 38116, 38082])).
% 17.88/13.06 tff(38119,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB69)) <=> v1(constB69))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38120,plain,
% 17.88/13.06 ((~v39(constB69)) <=> v1(constB69)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38119, 139])).
% 17.88/13.06 tff(38121,plain,
% 17.88/13.06 ((~((~v39(constB69)) <=> v1(constB69))) | v39(constB69) | v1(constB69)),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38122,plain,
% 17.88/13.06 ((~((~v39(constB69)) <=> v1(constB69))) | v39(constB69)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38121, 7346])).
% 17.88/13.06 tff(38123,plain,
% 17.88/13.06 (v39(constB69)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38122, 38120])).
% 17.88/13.06 tff(38124,plain,
% 17.88/13.06 ((~((~v39(constB69)) | (~v9(constB69)))) | (~v39(constB69)) | (~v9(constB69))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38125,plain,
% 17.88/13.06 ((~((~v39(constB69)) | (~v9(constB69)))) | (~v9(constB69))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38124, 38123])).
% 17.88/13.06 tff(38126,plain,
% 17.88/13.06 (~((~v39(constB69)) | (~v9(constB69)))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38125, 38118])).
% 17.88/13.06 tff(38127,plain,
% 17.88/13.06 ((~(v141(constB69) <=> (~((~v39(constB69)) | (~v9(constB69)))))) | v141(constB69) | ((~v39(constB69)) | (~v9(constB69)))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38128,plain,
% 17.88/13.06 (v141(constB69)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38127, 38126, 38078])).
% 17.88/13.06 tff(38129,plain,
% 17.88/13.06 ((v141(constB69) | v26(constB69)) | (~v141(constB69))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38130,plain,
% 17.88/13.06 (v141(constB69) | v26(constB69)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38129, 38128])).
% 17.88/13.06 tff(38131,plain,
% 17.88/13.06 ((~(v140(constB69) <=> (v141(constB69) | v26(constB69)))) | v140(constB69) | (~(v141(constB69) | v26(constB69)))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38132,plain,
% 17.88/13.06 (v140(constB69)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38131, 38130, 38076])).
% 17.88/13.06 tff(38133,plain,
% 17.88/13.06 ((~((~v139(constB69)) <=> v140(constB69))) | (~v139(constB69)) | (~v140(constB69))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38134,plain,
% 17.88/13.06 (~v139(constB69)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38133, 38132, 38074])).
% 17.88/13.06 tff(38135,plain,
% 17.88/13.06 (((~v132(constB69)) | (~v139(constB69))) | v139(constB69)),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38136,plain,
% 17.88/13.06 ((~v132(constB69)) | (~v139(constB69))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38135, 38134])).
% 17.88/13.06 tff(38137,plain,
% 17.88/13.06 ((~(v138(constB69) <=> (~((~v132(constB69)) | (~v139(constB69)))))) | (~v138(constB69)) | (~((~v132(constB69)) | (~v139(constB69))))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38138,plain,
% 17.88/13.06 (~v138(constB69)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38137, 38136, 38072])).
% 17.88/13.06 tff(38139,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB69) <=> (~((~v143(constB69)) | (~v144(constB69)))))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38140,plain,
% 17.88/13.06 (v142(constB69) <=> (~((~v143(constB69)) | (~v144(constB69))))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38139, 596])).
% 17.88/13.06 tff(38141,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB69) <=> (~((~v141(constB69)) | (~v145(constB69)))))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38142,plain,
% 17.88/13.06 (v144(constB69) <=> (~((~v141(constB69)) | (~v145(constB69))))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38141, 608])).
% 17.88/13.06 tff(38143,plain,
% 17.88/13.06 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0)))))),
% 17.88/13.06 inference(quant_inst,[status(thm)],[])).
% 17.88/13.06 tff(38144,plain,
% 17.88/13.06 (v145(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38143, 755])).
% 17.88/13.06 tff(38145,plain,
% 17.88/13.06 ((v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))) | (~v84(constB69, 1))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38146,plain,
% 17.88/13.06 (v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38145, 10228])).
% 17.88/13.06 tff(38147,plain,
% 17.88/13.06 ((~(v145(constB69) <=> (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0)))))) | (~v145(constB69)) | (~(v84(constB69, 1) | v84(constB69, 2) | (~v84(constB69, 0))))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38148,plain,
% 17.88/13.06 (~v145(constB69)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38147, 38146, 38144])).
% 17.88/13.06 tff(38149,plain,
% 17.88/13.06 (((~v141(constB69)) | (~v145(constB69))) | v145(constB69)),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38150,plain,
% 17.88/13.06 ((~v141(constB69)) | (~v145(constB69))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38149, 38148])).
% 17.88/13.06 tff(38151,plain,
% 17.88/13.06 ((~(v144(constB69) <=> (~((~v141(constB69)) | (~v145(constB69)))))) | (~v144(constB69)) | (~((~v141(constB69)) | (~v145(constB69))))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38152,plain,
% 17.88/13.06 (~v144(constB69)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38151, 38150, 38142])).
% 17.88/13.06 tff(38153,plain,
% 17.88/13.06 (((~v143(constB69)) | (~v144(constB69))) | v144(constB69)),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38154,plain,
% 17.88/13.06 ((~v143(constB69)) | (~v144(constB69))),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38153, 38152])).
% 17.88/13.06 tff(38155,plain,
% 17.88/13.06 ((~(v142(constB69) <=> (~((~v143(constB69)) | (~v144(constB69)))))) | (~v142(constB69)) | (~((~v143(constB69)) | (~v144(constB69))))),
% 17.88/13.06 inference(tautology,[status(thm)],[])).
% 17.88/13.06 tff(38156,plain,
% 17.88/13.06 (~v142(constB69)),
% 17.88/13.06 inference(unit_resolution,[status(thm)],[38155, 38154, 38140])).
% 17.88/13.07 tff(38157,plain,
% 17.88/13.07 ((~(v138(constB69) | v142(constB69))) | v138(constB69) | v142(constB69)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38158,plain,
% 17.88/13.07 (~(v138(constB69) | v142(constB69))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38157, 38156, 38138])).
% 17.88/13.07 tff(38159,plain,
% 17.88/13.07 ((~(v135(constB69) <=> (v138(constB69) | v142(constB69)))) | (~v135(constB69)) | (v138(constB69) | v142(constB69))),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38160,plain,
% 17.88/13.07 (~v135(constB69)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38159, 38158, 38065])).
% 17.88/13.07 tff(38161,plain,
% 17.88/13.07 ((~(v137(constB70) <=> v135(constB69))) | (~v137(constB70)) | v135(constB69)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38162,plain,
% 17.88/13.07 (~v137(constB70)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38161, 38160, 38063])).
% 17.88/13.07 tff(38163,plain,
% 17.88/13.07 ((~(v132(constB70) <=> v137(constB70))) | (~v132(constB70)) | v137(constB70)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38164,plain,
% 17.88/13.07 (~v132(constB70)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38163, 38162, 38059])).
% 17.88/13.07 tff(38165,plain,
% 17.88/13.07 (((~v132(constB70)) | (~v139(constB70))) | v132(constB70)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38166,plain,
% 17.88/13.07 ((~v132(constB70)) | (~v139(constB70))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38165, 38164])).
% 17.88/13.07 tff(38167,plain,
% 17.88/13.07 ((~(v138(constB70) <=> (~((~v132(constB70)) | (~v139(constB70)))))) | (~v138(constB70)) | (~((~v132(constB70)) | (~v139(constB70))))),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38168,plain,
% 17.88/13.07 (~v138(constB70)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38167, 38166, 38057])).
% 17.88/13.07 tff(38169,plain,
% 17.88/13.07 ((~(v138(constB70) | v142(constB70))) | v138(constB70) | v142(constB70)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38170,plain,
% 17.88/13.07 (~(v138(constB70) | v142(constB70))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38169, 38168, 38050])).
% 17.88/13.07 tff(38171,plain,
% 17.88/13.07 ((~(v135(constB70) <=> (v138(constB70) | v142(constB70)))) | (~v135(constB70)) | (v138(constB70) | v142(constB70))),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38172,plain,
% 17.88/13.07 (~v135(constB70)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38171, 38170, 38025])).
% 17.88/13.07 tff(38173,plain,
% 17.88/13.07 ((~(v137(constB71) <=> v135(constB70))) | (~v137(constB71)) | v135(constB70)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38174,plain,
% 17.88/13.07 (~v137(constB71)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38173, 38172, 38023])).
% 17.88/13.07 tff(38175,plain,
% 17.88/13.07 ((~(v132(constB71) <=> v137(constB71))) | (~v132(constB71)) | v137(constB71)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38176,plain,
% 17.88/13.07 (~v132(constB71)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38175, 38174, 38019])).
% 17.88/13.07 tff(38177,plain,
% 17.88/13.07 (((~v132(constB71)) | (~v155(constB71))) | v132(constB71)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38178,plain,
% 17.88/13.07 ((~v132(constB71)) | (~v155(constB71))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38177, 38176])).
% 17.88/13.07 tff(38179,plain,
% 17.88/13.07 ((~(v154(constB71) <=> (~((~v132(constB71)) | (~v155(constB71)))))) | (~v154(constB71)) | (~((~v132(constB71)) | (~v155(constB71))))),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38180,plain,
% 17.88/13.07 (~v154(constB71)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38179, 38178, 38017])).
% 17.88/13.07 tff(38181,plain,
% 17.88/13.07 ((~(v153(constB71) | v154(constB71))) | v153(constB71) | v154(constB71)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38182,plain,
% 17.88/13.07 (~(v153(constB71) | v154(constB71))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38181, 38180, 38010])).
% 17.88/13.07 tff(38183,plain,
% 17.88/13.07 ((~(v150(constB71) <=> (v153(constB71) | v154(constB71)))) | (~v150(constB71)) | (v153(constB71) | v154(constB71))),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38184,plain,
% 17.88/13.07 (~v150(constB71)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38183, 38182, 37999])).
% 17.88/13.07 tff(38185,plain,
% 17.88/13.07 ((~(v152(constB72) <=> v150(constB71))) | (~v152(constB72)) | v150(constB71)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38186,plain,
% 17.88/13.07 (~v152(constB72)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38185, 38184, 37997])).
% 17.88/13.07 tff(38187,plain,
% 17.88/13.07 ((~(v130(constB72) <=> v152(constB72))) | (~v130(constB72)) | v152(constB72)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38188,plain,
% 17.88/13.07 (~v130(constB72)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38187, 38186, 37993])).
% 17.88/13.07 tff(38189,plain,
% 17.88/13.07 (((~v130(constB72)) | (~v139(constB72))) | v130(constB72)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38190,plain,
% 17.88/13.07 ((~v130(constB72)) | (~v139(constB72))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38189, 38188])).
% 17.88/13.07 tff(38191,plain,
% 17.88/13.07 ((~(v153(constB72) <=> (~((~v130(constB72)) | (~v139(constB72)))))) | (~v153(constB72)) | (~((~v130(constB72)) | (~v139(constB72))))),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38192,plain,
% 17.88/13.07 (~v153(constB72)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38191, 38190, 37991])).
% 17.88/13.07 tff(38193,plain,
% 17.88/13.07 ((~(v153(constB72) | v154(constB72))) | v153(constB72) | v154(constB72)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38194,plain,
% 17.88/13.07 (~(v153(constB72) | v154(constB72))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38193, 38192, 37984])).
% 17.88/13.07 tff(38195,plain,
% 17.88/13.07 ((~(v150(constB72) <=> (v153(constB72) | v154(constB72)))) | (~v150(constB72)) | (v153(constB72) | v154(constB72))),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38196,plain,
% 17.88/13.07 (~v150(constB72)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38195, 38194, 37961])).
% 17.88/13.07 tff(38197,plain,
% 17.88/13.07 ((~(v152(constB73) <=> v150(constB72))) | (~v152(constB73)) | v150(constB72)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38198,plain,
% 17.88/13.07 (~v152(constB73)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38197, 38196, 37959])).
% 17.88/13.07 tff(38199,plain,
% 17.88/13.07 ((~(v130(constB73) <=> v152(constB73))) | (~v130(constB73)) | v152(constB73)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38200,plain,
% 17.88/13.07 (~v130(constB73)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38199, 38198, 37955])).
% 17.88/13.07 tff(38201,plain,
% 17.88/13.07 (((~v130(constB73)) | (~v155(constB73))) | v130(constB73)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38202,plain,
% 17.88/13.07 ((~v130(constB73)) | (~v155(constB73))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38201, 38200])).
% 17.88/13.07 tff(38203,plain,
% 17.88/13.07 ((~(v164(constB73) <=> (~((~v130(constB73)) | (~v155(constB73)))))) | (~v164(constB73)) | (~((~v130(constB73)) | (~v155(constB73))))),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38204,plain,
% 17.88/13.07 (~v164(constB73)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38203, 38202, 37953])).
% 17.88/13.07 tff(38205,plain,
% 17.88/13.07 ((~(v163(constB73) | v164(constB73))) | v163(constB73) | v164(constB73)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38206,plain,
% 17.88/13.07 (~(v163(constB73) | v164(constB73))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38205, 38204, 37946])).
% 17.88/13.07 tff(38207,plain,
% 17.88/13.07 ((~(v160(constB73) <=> (v163(constB73) | v164(constB73)))) | (~v160(constB73)) | (v163(constB73) | v164(constB73))),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38208,plain,
% 17.88/13.07 (~v160(constB73)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38207, 38206, 37935])).
% 17.88/13.07 tff(38209,plain,
% 17.88/13.07 ((~(v162(constB74) <=> v160(constB73))) | (~v162(constB74)) | v160(constB73)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38210,plain,
% 17.88/13.07 (~v162(constB74)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38209, 38208, 37933])).
% 17.88/13.07 tff(38211,plain,
% 17.88/13.07 ((~(v128(constB74) <=> v162(constB74))) | (~v128(constB74)) | v162(constB74)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38212,plain,
% 17.88/13.07 (~v128(constB74)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38211, 38210, 37929])).
% 17.88/13.07 tff(38213,plain,
% 17.88/13.07 (((~v128(constB74)) | (~v139(constB74))) | v128(constB74)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38214,plain,
% 17.88/13.07 ((~v128(constB74)) | (~v139(constB74))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38213, 38212])).
% 17.88/13.07 tff(38215,plain,
% 17.88/13.07 ((~(v163(constB74) <=> (~((~v128(constB74)) | (~v139(constB74)))))) | (~v163(constB74)) | (~((~v128(constB74)) | (~v139(constB74))))),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38216,plain,
% 17.88/13.07 (~v163(constB74)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38215, 38214, 37927])).
% 17.88/13.07 tff(38217,plain,
% 17.88/13.07 ((~(v163(constB74) | v164(constB74))) | v163(constB74) | v164(constB74)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38218,plain,
% 17.88/13.07 (~(v163(constB74) | v164(constB74))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38217, 38216, 37920])).
% 17.88/13.07 tff(38219,plain,
% 17.88/13.07 ((~(v160(constB74) <=> (v163(constB74) | v164(constB74)))) | (~v160(constB74)) | (v163(constB74) | v164(constB74))),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38220,plain,
% 17.88/13.07 (~v160(constB74)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38219, 38218, 37909])).
% 17.88/13.07 tff(38221,plain,
% 17.88/13.07 ((~(v162(constB75) <=> v160(constB74))) | (~v162(constB75)) | v160(constB74)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38222,plain,
% 17.88/13.07 (~v162(constB75)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38221, 38220, 37907])).
% 17.88/13.07 tff(38223,plain,
% 17.88/13.07 ($false),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38222, 37903])).
% 17.88/13.07 tff(38224,plain,(~(constB75 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.88/13.07 tff(38225,assumption,(constB155 = VarCurr!0), introduced(assumption)).
% 17.88/13.07 tff(38226,plain,
% 17.88/13.07 (v162(constB155) <=> v162(VarCurr!0)),
% 17.88/13.07 inference(monotonicity,[status(thm)],[38225])).
% 17.88/13.07 tff(38227,plain,
% 17.88/13.07 (v162(VarCurr!0) <=> v162(constB155)),
% 17.88/13.07 inference(symmetry,[status(thm)],[38226])).
% 17.88/13.07 tff(38228,plain,
% 17.88/13.07 (v162(constB155)),
% 17.88/13.07 inference(modus_ponens,[status(thm)],[59, 38227])).
% 17.88/13.07 tff(38229,plain,
% 17.88/13.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB154, constB155)) | (v162(constB155) <=> v160(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB154, constB155)) | (v162(constB155) <=> v160(constB154)))),
% 17.88/13.07 inference(rewrite,[status(thm)],[])).
% 17.88/13.07 tff(38230,plain,
% 17.88/13.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB154, constB155)) | (v162(constB155) <=> v160(constB154)))),
% 17.88/13.07 inference(quant_inst,[status(thm)],[])).
% 17.88/13.07 tff(38231,plain,
% 17.88/13.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB154, constB155)) | (v162(constB155) <=> v160(constB154))),
% 17.88/13.07 inference(modus_ponens,[status(thm)],[38230, 38229])).
% 17.88/13.07 tff(38232,plain,
% 17.88/13.07 (v162(constB155) <=> v160(constB154)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38231, 14877, 70])).
% 17.88/13.07 tff(38233,plain,
% 17.88/13.07 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB154) <=> (v163(constB154) | v164(constB154)))),
% 17.88/13.07 inference(quant_inst,[status(thm)],[])).
% 17.88/13.07 tff(38234,plain,
% 17.88/13.07 (v160(constB154) <=> (v163(constB154) | v164(constB154))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38233, 84])).
% 17.88/13.07 tff(38235,plain,
% 17.88/13.07 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v130(constB154)) | (~v155(constB154)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v130(constB154)) | (~v155(constB154))))))),
% 17.88/13.07 inference(rewrite,[status(thm)],[])).
% 17.88/13.07 tff(38236,plain,
% 17.88/13.07 ((v164(constB154) <=> (~((~v155(constB154)) | (~v130(constB154))))) <=> (v164(constB154) <=> (~((~v130(constB154)) | (~v155(constB154)))))),
% 17.88/13.07 inference(rewrite,[status(thm)],[])).
% 17.88/13.07 tff(38237,plain,
% 17.88/13.07 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v155(constB154)) | (~v130(constB154)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v130(constB154)) | (~v155(constB154))))))),
% 17.88/13.07 inference(monotonicity,[status(thm)],[38236])).
% 17.88/13.07 tff(38238,plain,
% 17.88/13.07 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v155(constB154)) | (~v130(constB154)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v130(constB154)) | (~v155(constB154))))))),
% 17.88/13.07 inference(transitivity,[status(thm)],[38237, 38235])).
% 17.88/13.07 tff(38239,plain,
% 17.88/13.07 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v155(constB154)) | (~v130(constB154)))))),
% 17.88/13.07 inference(quant_inst,[status(thm)],[])).
% 17.88/13.07 tff(38240,plain,
% 17.88/13.07 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v130(constB154)) | (~v155(constB154)))))),
% 17.88/13.07 inference(modus_ponens,[status(thm)],[38239, 38238])).
% 17.88/13.07 tff(38241,plain,
% 17.88/13.07 (v164(constB154) <=> (~((~v130(constB154)) | (~v155(constB154))))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38240, 96])).
% 17.88/13.07 tff(38242,plain,
% 17.88/13.07 (((~v130(constB154)) | (~v155(constB154))) | v155(constB154)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38243,plain,
% 17.88/13.07 ((~v130(constB154)) | (~v155(constB154))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38242, 28276])).
% 17.88/13.07 tff(38244,plain,
% 17.88/13.07 ((~(v164(constB154) <=> (~((~v130(constB154)) | (~v155(constB154)))))) | (~v164(constB154)) | (~((~v130(constB154)) | (~v155(constB154))))),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38245,plain,
% 17.88/13.07 (~v164(constB154)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38244, 38243, 38241])).
% 17.88/13.07 tff(38246,plain,
% 17.88/13.07 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154))))))),
% 17.88/13.07 inference(rewrite,[status(thm)],[])).
% 17.88/13.07 tff(38247,plain,
% 17.88/13.07 ((v163(constB154) <=> (~((~v139(constB154)) | (~v128(constB154))))) <=> (v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154)))))),
% 17.88/13.07 inference(rewrite,[status(thm)],[])).
% 17.88/13.07 tff(38248,plain,
% 17.88/13.07 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v139(constB154)) | (~v128(constB154)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154))))))),
% 17.88/13.07 inference(monotonicity,[status(thm)],[38247])).
% 17.88/13.07 tff(38249,plain,
% 17.88/13.07 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v139(constB154)) | (~v128(constB154)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154))))))),
% 17.88/13.07 inference(transitivity,[status(thm)],[38248, 38246])).
% 17.88/13.07 tff(38250,plain,
% 17.88/13.07 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v139(constB154)) | (~v128(constB154)))))),
% 17.88/13.07 inference(quant_inst,[status(thm)],[])).
% 17.88/13.07 tff(38251,plain,
% 17.88/13.07 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154)))))),
% 17.88/13.07 inference(modus_ponens,[status(thm)],[38250, 38249])).
% 17.88/13.07 tff(38252,plain,
% 17.88/13.07 (v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154))))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38251, 171])).
% 17.88/13.07 tff(38253,plain,
% 17.88/13.07 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB154) <=> v162(constB154))),
% 17.88/13.07 inference(quant_inst,[status(thm)],[])).
% 17.88/13.07 tff(38254,plain,
% 17.88/13.07 (v128(constB154) <=> v162(constB154)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38253, 13])).
% 17.88/13.07 tff(38255,plain,
% 17.88/13.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB153, constB154)) | (v162(constB154) <=> v160(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB153, constB154)) | (v162(constB154) <=> v160(constB153)))),
% 17.88/13.07 inference(rewrite,[status(thm)],[])).
% 17.88/13.07 tff(38256,plain,
% 17.88/13.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB153, constB154)) | (v162(constB154) <=> v160(constB153)))),
% 17.88/13.07 inference(quant_inst,[status(thm)],[])).
% 17.88/13.07 tff(38257,plain,
% 17.88/13.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB153, constB154)) | (v162(constB154) <=> v160(constB153))),
% 17.88/13.07 inference(modus_ponens,[status(thm)],[38256, 38255])).
% 17.88/13.07 tff(38258,plain,
% 17.88/13.07 (v162(constB154) <=> v160(constB153)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38257, 14913, 70])).
% 17.88/13.07 tff(38259,plain,
% 17.88/13.07 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB153) <=> (v163(constB153) | v164(constB153)))),
% 17.88/13.07 inference(quant_inst,[status(thm)],[])).
% 17.88/13.07 tff(38260,plain,
% 17.88/13.07 (v160(constB153) <=> (v163(constB153) | v164(constB153))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38259, 84])).
% 17.88/13.07 tff(38261,plain,
% 17.88/13.07 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153))))))),
% 17.88/13.07 inference(rewrite,[status(thm)],[])).
% 17.88/13.07 tff(38262,plain,
% 17.88/13.07 ((v163(constB153) <=> (~((~v139(constB153)) | (~v128(constB153))))) <=> (v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153)))))),
% 17.88/13.07 inference(rewrite,[status(thm)],[])).
% 17.88/13.07 tff(38263,plain,
% 17.88/13.07 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v139(constB153)) | (~v128(constB153)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153))))))),
% 17.88/13.07 inference(monotonicity,[status(thm)],[38262])).
% 17.88/13.07 tff(38264,plain,
% 17.88/13.07 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v139(constB153)) | (~v128(constB153)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153))))))),
% 17.88/13.07 inference(transitivity,[status(thm)],[38263, 38261])).
% 17.88/13.07 tff(38265,plain,
% 17.88/13.07 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v139(constB153)) | (~v128(constB153)))))),
% 17.88/13.07 inference(quant_inst,[status(thm)],[])).
% 17.88/13.07 tff(38266,plain,
% 17.88/13.07 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153)))))),
% 17.88/13.07 inference(modus_ponens,[status(thm)],[38265, 38264])).
% 17.88/13.07 tff(38267,plain,
% 17.88/13.07 (v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153))))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38266, 171])).
% 17.88/13.07 tff(38268,plain,
% 17.88/13.07 (((~v128(constB153)) | (~v139(constB153))) | v139(constB153)),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38269,plain,
% 17.88/13.07 ((~v128(constB153)) | (~v139(constB153))),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38268, 27295])).
% 17.88/13.07 tff(38270,plain,
% 17.88/13.07 ((~(v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153)))))) | (~v163(constB153)) | (~((~v128(constB153)) | (~v139(constB153))))),
% 17.88/13.07 inference(tautology,[status(thm)],[])).
% 17.88/13.07 tff(38271,plain,
% 17.88/13.07 (~v163(constB153)),
% 17.88/13.07 inference(unit_resolution,[status(thm)],[38270, 38269, 38267])).
% 17.88/13.07 tff(38272,plain,
% 17.88/13.07 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v130(constB153)) | (~v155(constB153)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v130(constB153)) | (~v155(constB153))))))),
% 17.88/13.07 inference(rewrite,[status(thm)],[])).
% 17.88/13.07 tff(38273,plain,
% 17.88/13.07 ((v164(constB153) <=> (~((~v155(constB153)) | (~v130(constB153))))) <=> (v164(constB153) <=> (~((~v130(constB153)) | (~v155(constB153)))))),
% 17.88/13.08 inference(rewrite,[status(thm)],[])).
% 17.88/13.08 tff(38274,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v155(constB153)) | (~v130(constB153)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v130(constB153)) | (~v155(constB153))))))),
% 17.88/13.08 inference(monotonicity,[status(thm)],[38273])).
% 17.88/13.08 tff(38275,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v155(constB153)) | (~v130(constB153)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v130(constB153)) | (~v155(constB153))))))),
% 17.88/13.08 inference(transitivity,[status(thm)],[38274, 38272])).
% 17.88/13.08 tff(38276,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v155(constB153)) | (~v130(constB153)))))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38277,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v130(constB153)) | (~v155(constB153)))))),
% 17.88/13.08 inference(modus_ponens,[status(thm)],[38276, 38275])).
% 17.88/13.08 tff(38278,plain,
% 17.88/13.08 (v164(constB153) <=> (~((~v130(constB153)) | (~v155(constB153))))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38277, 96])).
% 17.88/13.08 tff(38279,plain,
% 17.88/13.08 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB153) <=> v152(constB153))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38280,plain,
% 17.88/13.08 (v130(constB153) <=> v152(constB153)),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38279, 361])).
% 17.88/13.08 tff(38281,plain,
% 17.88/13.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB152, constB153)) | (v152(constB153) <=> v150(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB152, constB153)) | (v152(constB153) <=> v150(constB152)))),
% 17.88/13.08 inference(rewrite,[status(thm)],[])).
% 17.88/13.08 tff(38282,plain,
% 17.88/13.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB152, constB153)) | (v152(constB153) <=> v150(constB152)))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38283,plain,
% 17.88/13.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB152, constB153)) | (v152(constB153) <=> v150(constB152))),
% 17.88/13.08 inference(modus_ponens,[status(thm)],[38282, 38281])).
% 17.88/13.08 tff(38284,plain,
% 17.88/13.08 (v152(constB153) <=> v150(constB152)),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38283, 14943, 373])).
% 17.88/13.08 tff(38285,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB152) <=> (v153(constB152) | v154(constB152)))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38286,plain,
% 17.88/13.08 (v150(constB152) <=> (v153(constB152) | v154(constB152))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38285, 387])).
% 17.88/13.08 tff(38287,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB152) <=> (~((~v132(constB152)) | (~v155(constB152)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB152) <=> (~((~v132(constB152)) | (~v155(constB152))))))),
% 17.88/13.08 inference(rewrite,[status(thm)],[])).
% 17.88/13.08 tff(38288,plain,
% 17.88/13.08 ((v154(constB152) <=> (~((~v155(constB152)) | (~v132(constB152))))) <=> (v154(constB152) <=> (~((~v132(constB152)) | (~v155(constB152)))))),
% 17.88/13.08 inference(rewrite,[status(thm)],[])).
% 17.88/13.08 tff(38289,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB152) <=> (~((~v155(constB152)) | (~v132(constB152)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB152) <=> (~((~v132(constB152)) | (~v155(constB152))))))),
% 17.88/13.08 inference(monotonicity,[status(thm)],[38288])).
% 17.88/13.08 tff(38290,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB152) <=> (~((~v155(constB152)) | (~v132(constB152)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB152) <=> (~((~v132(constB152)) | (~v155(constB152))))))),
% 17.88/13.08 inference(transitivity,[status(thm)],[38289, 38287])).
% 17.88/13.08 tff(38291,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB152) <=> (~((~v155(constB152)) | (~v132(constB152)))))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38292,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB152) <=> (~((~v132(constB152)) | (~v155(constB152)))))),
% 17.88/13.08 inference(modus_ponens,[status(thm)],[38291, 38290])).
% 17.88/13.08 tff(38293,plain,
% 17.88/13.08 (v154(constB152) <=> (~((~v132(constB152)) | (~v155(constB152))))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38292, 399])).
% 17.88/13.08 tff(38294,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB152) <=> (~((~v141(constB152)) | (~v143(constB152)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB152) <=> (~((~v141(constB152)) | (~v143(constB152))))))),
% 17.88/13.08 inference(rewrite,[status(thm)],[])).
% 17.88/13.08 tff(38295,plain,
% 17.88/13.08 ((v155(constB152) <=> (~((~v143(constB152)) | (~v141(constB152))))) <=> (v155(constB152) <=> (~((~v141(constB152)) | (~v143(constB152)))))),
% 17.88/13.08 inference(rewrite,[status(thm)],[])).
% 17.88/13.08 tff(38296,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB152) <=> (~((~v143(constB152)) | (~v141(constB152)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB152) <=> (~((~v141(constB152)) | (~v143(constB152))))))),
% 17.88/13.08 inference(monotonicity,[status(thm)],[38295])).
% 17.88/13.08 tff(38297,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB152) <=> (~((~v143(constB152)) | (~v141(constB152)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB152) <=> (~((~v141(constB152)) | (~v143(constB152))))))),
% 17.88/13.08 inference(transitivity,[status(thm)],[38296, 38294])).
% 17.88/13.08 tff(38298,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB152) <=> (~((~v143(constB152)) | (~v141(constB152)))))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38299,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB152) <=> (~((~v141(constB152)) | (~v143(constB152)))))),
% 17.88/13.08 inference(modus_ponens,[status(thm)],[38298, 38297])).
% 17.88/13.08 tff(38300,plain,
% 17.88/13.08 (v155(constB152) <=> (~((~v141(constB152)) | (~v143(constB152))))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38299, 113])).
% 17.88/13.08 tff(38301,plain,
% 17.88/13.08 (((~v141(constB152)) | (~v143(constB152))) | v141(constB152)),
% 17.88/13.08 inference(tautology,[status(thm)],[])).
% 17.88/13.08 tff(38302,plain,
% 17.88/13.08 ((~v141(constB152)) | (~v143(constB152))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38301, 28337])).
% 17.88/13.08 tff(38303,plain,
% 17.88/13.08 ((~(v155(constB152) <=> (~((~v141(constB152)) | (~v143(constB152)))))) | (~v155(constB152)) | (~((~v141(constB152)) | (~v143(constB152))))),
% 17.88/13.08 inference(tautology,[status(thm)],[])).
% 17.88/13.08 tff(38304,plain,
% 17.88/13.08 ((~(v155(constB152) <=> (~((~v141(constB152)) | (~v143(constB152)))))) | (~v155(constB152))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38303, 38302])).
% 17.88/13.08 tff(38305,plain,
% 17.88/13.08 (~v155(constB152)),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38304, 38300])).
% 17.88/13.08 tff(38306,plain,
% 17.88/13.08 (((~v132(constB152)) | (~v155(constB152))) | v155(constB152)),
% 17.88/13.08 inference(tautology,[status(thm)],[])).
% 17.88/13.08 tff(38307,plain,
% 17.88/13.08 ((~v132(constB152)) | (~v155(constB152))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38306, 38305])).
% 17.88/13.08 tff(38308,plain,
% 17.88/13.08 ((~(v154(constB152) <=> (~((~v132(constB152)) | (~v155(constB152)))))) | (~v154(constB152)) | (~((~v132(constB152)) | (~v155(constB152))))),
% 17.88/13.08 inference(tautology,[status(thm)],[])).
% 17.88/13.08 tff(38309,plain,
% 17.88/13.08 (~v154(constB152)),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38308, 38307, 38293])).
% 17.88/13.08 tff(38310,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB152) <=> (~((~v130(constB152)) | (~v139(constB152)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB152) <=> (~((~v130(constB152)) | (~v139(constB152))))))),
% 17.88/13.08 inference(rewrite,[status(thm)],[])).
% 17.88/13.08 tff(38311,plain,
% 17.88/13.08 ((v153(constB152) <=> (~((~v139(constB152)) | (~v130(constB152))))) <=> (v153(constB152) <=> (~((~v130(constB152)) | (~v139(constB152)))))),
% 17.88/13.08 inference(rewrite,[status(thm)],[])).
% 17.88/13.08 tff(38312,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB152) <=> (~((~v139(constB152)) | (~v130(constB152)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB152) <=> (~((~v130(constB152)) | (~v139(constB152))))))),
% 17.88/13.08 inference(monotonicity,[status(thm)],[38311])).
% 17.88/13.08 tff(38313,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB152) <=> (~((~v139(constB152)) | (~v130(constB152)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB152) <=> (~((~v130(constB152)) | (~v139(constB152))))))),
% 17.88/13.08 inference(transitivity,[status(thm)],[38312, 38310])).
% 17.88/13.08 tff(38314,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB152) <=> (~((~v139(constB152)) | (~v130(constB152)))))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38315,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB152) <=> (~((~v130(constB152)) | (~v139(constB152)))))),
% 17.88/13.08 inference(modus_ponens,[status(thm)],[38314, 38313])).
% 17.88/13.08 tff(38316,plain,
% 17.88/13.08 (v153(constB152) <=> (~((~v130(constB152)) | (~v139(constB152))))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38315, 447])).
% 17.88/13.08 tff(38317,plain,
% 17.88/13.08 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB152) <=> v152(constB152))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38318,plain,
% 17.88/13.08 (v130(constB152) <=> v152(constB152)),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38317, 361])).
% 17.88/13.08 tff(38319,plain,
% 17.88/13.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB151, constB152)) | (v152(constB152) <=> v150(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB151, constB152)) | (v152(constB152) <=> v150(constB151)))),
% 17.88/13.08 inference(rewrite,[status(thm)],[])).
% 17.88/13.08 tff(38320,plain,
% 17.88/13.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB151, constB152)) | (v152(constB152) <=> v150(constB151)))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38321,plain,
% 17.88/13.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB151, constB152)) | (v152(constB152) <=> v150(constB151))),
% 17.88/13.08 inference(modus_ponens,[status(thm)],[38320, 38319])).
% 17.88/13.08 tff(38322,plain,
% 17.88/13.08 (v152(constB152) <=> v150(constB151)),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38321, 14979, 373])).
% 17.88/13.08 tff(38323,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB151) <=> (v153(constB151) | v154(constB151)))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38324,plain,
% 17.88/13.08 (v150(constB151) <=> (v153(constB151) | v154(constB151))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38323, 387])).
% 17.88/13.08 tff(38325,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB151) <=> (~((~v130(constB151)) | (~v139(constB151)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB151) <=> (~((~v130(constB151)) | (~v139(constB151))))))),
% 17.88/13.08 inference(rewrite,[status(thm)],[])).
% 17.88/13.08 tff(38326,plain,
% 17.88/13.08 ((v153(constB151) <=> (~((~v139(constB151)) | (~v130(constB151))))) <=> (v153(constB151) <=> (~((~v130(constB151)) | (~v139(constB151)))))),
% 17.88/13.08 inference(rewrite,[status(thm)],[])).
% 17.88/13.08 tff(38327,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB151) <=> (~((~v139(constB151)) | (~v130(constB151)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB151) <=> (~((~v130(constB151)) | (~v139(constB151))))))),
% 17.88/13.08 inference(monotonicity,[status(thm)],[38326])).
% 17.88/13.08 tff(38328,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB151) <=> (~((~v139(constB151)) | (~v130(constB151)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB151) <=> (~((~v130(constB151)) | (~v139(constB151))))))),
% 17.88/13.08 inference(transitivity,[status(thm)],[38327, 38325])).
% 17.88/13.08 tff(38329,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB151) <=> (~((~v139(constB151)) | (~v130(constB151)))))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38330,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB151) <=> (~((~v130(constB151)) | (~v139(constB151)))))),
% 17.88/13.08 inference(modus_ponens,[status(thm)],[38329, 38328])).
% 17.88/13.08 tff(38331,plain,
% 17.88/13.08 (v153(constB151) <=> (~((~v130(constB151)) | (~v139(constB151))))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38330, 447])).
% 17.88/13.08 tff(38332,plain,
% 17.88/13.08 (((~v130(constB151)) | (~v139(constB151))) | v139(constB151)),
% 17.88/13.08 inference(tautology,[status(thm)],[])).
% 17.88/13.08 tff(38333,plain,
% 17.88/13.08 ((~v130(constB151)) | (~v139(constB151))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38332, 28430])).
% 17.88/13.08 tff(38334,plain,
% 17.88/13.08 ((~(v153(constB151) <=> (~((~v130(constB151)) | (~v139(constB151)))))) | (~v153(constB151)) | (~((~v130(constB151)) | (~v139(constB151))))),
% 17.88/13.08 inference(tautology,[status(thm)],[])).
% 17.88/13.08 tff(38335,plain,
% 17.88/13.08 (~v153(constB151)),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38334, 38333, 38331])).
% 17.88/13.08 tff(38336,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB151) <=> (~((~v132(constB151)) | (~v155(constB151)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB151) <=> (~((~v132(constB151)) | (~v155(constB151))))))),
% 17.88/13.08 inference(rewrite,[status(thm)],[])).
% 17.88/13.08 tff(38337,plain,
% 17.88/13.08 ((v154(constB151) <=> (~((~v155(constB151)) | (~v132(constB151))))) <=> (v154(constB151) <=> (~((~v132(constB151)) | (~v155(constB151)))))),
% 17.88/13.08 inference(rewrite,[status(thm)],[])).
% 17.88/13.08 tff(38338,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB151) <=> (~((~v155(constB151)) | (~v132(constB151)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB151) <=> (~((~v132(constB151)) | (~v155(constB151))))))),
% 17.88/13.08 inference(monotonicity,[status(thm)],[38337])).
% 17.88/13.08 tff(38339,plain,
% 17.88/13.08 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB151) <=> (~((~v155(constB151)) | (~v132(constB151)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB151) <=> (~((~v132(constB151)) | (~v155(constB151))))))),
% 17.88/13.08 inference(transitivity,[status(thm)],[38338, 38336])).
% 17.88/13.08 tff(38340,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB151) <=> (~((~v155(constB151)) | (~v132(constB151)))))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38341,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB151) <=> (~((~v132(constB151)) | (~v155(constB151)))))),
% 17.88/13.08 inference(modus_ponens,[status(thm)],[38340, 38339])).
% 17.88/13.08 tff(38342,plain,
% 17.88/13.08 (v154(constB151) <=> (~((~v132(constB151)) | (~v155(constB151))))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38341, 399])).
% 17.88/13.08 tff(38343,plain,
% 17.88/13.08 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB151) <=> v137(constB151))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38344,plain,
% 17.88/13.08 (v132(constB151) <=> v137(constB151)),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38343, 558])).
% 17.88/13.08 tff(38345,plain,
% 17.88/13.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB150, constB151)) | (v137(constB151) <=> v135(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB150, constB151)) | (v137(constB151) <=> v135(constB150)))),
% 17.88/13.08 inference(rewrite,[status(thm)],[])).
% 17.88/13.08 tff(38346,plain,
% 17.88/13.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB150, constB151)) | (v137(constB151) <=> v135(constB150)))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38347,plain,
% 17.88/13.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB150, constB151)) | (v137(constB151) <=> v135(constB150))),
% 17.88/13.08 inference(modus_ponens,[status(thm)],[38346, 38345])).
% 17.88/13.08 tff(38348,plain,
% 17.88/13.08 (v137(constB151) <=> v135(constB150)),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38347, 15004, 570])).
% 17.88/13.08 tff(38349,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB150) <=> (v138(constB150) | v142(constB150)))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38350,plain,
% 17.88/13.08 (v135(constB150) <=> (v138(constB150) | v142(constB150))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38349, 584])).
% 17.88/13.08 tff(38351,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB150) <=> (~((~v143(constB150)) | (~v144(constB150)))))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38352,plain,
% 17.88/13.08 (v142(constB150) <=> (~((~v143(constB150)) | (~v144(constB150))))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38351, 596])).
% 17.88/13.08 tff(38353,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB150) <=> (~((~v141(constB150)) | (~v145(constB150)))))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38354,plain,
% 17.88/13.08 (v144(constB150) <=> (~((~v141(constB150)) | (~v145(constB150))))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38353, 608])).
% 17.88/13.08 tff(38355,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38356,plain,
% 17.88/13.08 (v141(constB150) <=> (~((~v39(constB150)) | (~v9(constB150))))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38355, 130])).
% 17.88/13.08 tff(38357,plain,
% 17.88/13.08 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB150)) <=> v1(constB150))),
% 17.88/13.08 inference(quant_inst,[status(thm)],[])).
% 17.88/13.08 tff(38358,plain,
% 17.88/13.08 ((~v39(constB150)) <=> v1(constB150)),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38357, 139])).
% 17.88/13.08 tff(38359,plain,
% 17.88/13.08 ((~((~v39(constB150)) <=> v1(constB150))) | (~v39(constB150)) | (~v1(constB150))),
% 17.88/13.08 inference(tautology,[status(thm)],[])).
% 17.88/13.08 tff(38360,plain,
% 17.88/13.08 ((~((~v39(constB150)) <=> v1(constB150))) | (~v39(constB150))),
% 17.88/13.08 inference(unit_resolution,[status(thm)],[38359, 20440])).
% 17.88/13.09 tff(38361,plain,
% 17.88/13.09 (~v39(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38360, 38358])).
% 17.88/13.09 tff(38362,plain,
% 17.88/13.09 (((~v39(constB150)) | (~v9(constB150))) | v39(constB150)),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38363,plain,
% 17.88/13.09 ((~v39(constB150)) | (~v9(constB150))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38362, 38361])).
% 17.88/13.09 tff(38364,plain,
% 17.88/13.09 ((~(v141(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))) | (~v141(constB150)) | (~((~v39(constB150)) | (~v9(constB150))))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38365,plain,
% 17.88/13.09 ((~(v141(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))) | (~v141(constB150))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38364, 38363])).
% 17.88/13.09 tff(38366,plain,
% 17.88/13.09 (~v141(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38365, 38356])).
% 17.88/13.09 tff(38367,plain,
% 17.88/13.09 (((~v141(constB150)) | (~v145(constB150))) | v141(constB150)),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38368,plain,
% 17.88/13.09 ((~v141(constB150)) | (~v145(constB150))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38367, 38366])).
% 17.88/13.09 tff(38369,plain,
% 17.88/13.09 ((~(v144(constB150) <=> (~((~v141(constB150)) | (~v145(constB150)))))) | (~v144(constB150)) | (~((~v141(constB150)) | (~v145(constB150))))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38370,plain,
% 17.88/13.09 ((~(v144(constB150) <=> (~((~v141(constB150)) | (~v145(constB150)))))) | (~v144(constB150))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38369, 38368])).
% 17.88/13.09 tff(38371,plain,
% 17.88/13.09 (~v144(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38370, 38354])).
% 17.88/13.09 tff(38372,plain,
% 17.88/13.09 (((~v143(constB150)) | (~v144(constB150))) | v144(constB150)),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38373,plain,
% 17.88/13.09 ((~v143(constB150)) | (~v144(constB150))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38372, 38371])).
% 17.88/13.09 tff(38374,plain,
% 17.88/13.09 ((~(v142(constB150) <=> (~((~v143(constB150)) | (~v144(constB150)))))) | (~v142(constB150)) | (~((~v143(constB150)) | (~v144(constB150))))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38375,plain,
% 17.88/13.09 (~v142(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38374, 38373, 38352])).
% 17.88/13.09 tff(38376,plain,
% 17.88/13.09 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150))))))),
% 17.88/13.09 inference(rewrite,[status(thm)],[])).
% 17.88/13.09 tff(38377,plain,
% 17.88/13.09 ((v138(constB150) <=> (~((~v139(constB150)) | (~v132(constB150))))) <=> (v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150)))))),
% 17.88/13.09 inference(rewrite,[status(thm)],[])).
% 17.88/13.09 tff(38378,plain,
% 17.88/13.09 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v139(constB150)) | (~v132(constB150)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150))))))),
% 17.88/13.09 inference(monotonicity,[status(thm)],[38377])).
% 17.88/13.09 tff(38379,plain,
% 17.88/13.09 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v139(constB150)) | (~v132(constB150)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150))))))),
% 17.88/13.09 inference(transitivity,[status(thm)],[38378, 38376])).
% 17.88/13.09 tff(38380,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v139(constB150)) | (~v132(constB150)))))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38381,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150)))))),
% 17.88/13.09 inference(modus_ponens,[status(thm)],[38380, 38379])).
% 17.88/13.09 tff(38382,plain,
% 17.88/13.09 (v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150))))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38381, 644])).
% 17.88/13.09 tff(38383,plain,
% 17.88/13.09 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB150) <=> v137(constB150))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38384,plain,
% 17.88/13.09 (v132(constB150) <=> v137(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38383, 558])).
% 17.88/13.09 tff(38385,plain,
% 17.88/13.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB149, constB150)) | (v137(constB150) <=> v135(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB149, constB150)) | (v137(constB150) <=> v135(constB149)))),
% 17.88/13.09 inference(rewrite,[status(thm)],[])).
% 17.88/13.09 tff(38386,plain,
% 17.88/13.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB149, constB150)) | (v137(constB150) <=> v135(constB149)))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38387,plain,
% 17.88/13.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB149, constB150)) | (v137(constB150) <=> v135(constB149))),
% 17.88/13.09 inference(modus_ponens,[status(thm)],[38386, 38385])).
% 17.88/13.09 tff(38388,plain,
% 17.88/13.09 (v137(constB150) <=> v135(constB149)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38387, 15040, 570])).
% 17.88/13.09 tff(38389,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB149) <=> (v138(constB149) | v142(constB149)))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38390,plain,
% 17.88/13.09 (v135(constB149) <=> (v138(constB149) | v142(constB149))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38389, 584])).
% 17.88/13.09 tff(38391,plain,
% 17.88/13.09 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149))))))),
% 17.88/13.09 inference(rewrite,[status(thm)],[])).
% 17.88/13.09 tff(38392,plain,
% 17.88/13.09 ((v138(constB149) <=> (~((~v139(constB149)) | (~v132(constB149))))) <=> (v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149)))))),
% 17.88/13.09 inference(rewrite,[status(thm)],[])).
% 17.88/13.09 tff(38393,plain,
% 17.88/13.09 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v139(constB149)) | (~v132(constB149)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149))))))),
% 17.88/13.09 inference(monotonicity,[status(thm)],[38392])).
% 17.88/13.09 tff(38394,plain,
% 17.88/13.09 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v139(constB149)) | (~v132(constB149)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149))))))),
% 17.88/13.09 inference(transitivity,[status(thm)],[38393, 38391])).
% 17.88/13.09 tff(38395,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v139(constB149)) | (~v132(constB149)))))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38396,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149)))))),
% 17.88/13.09 inference(modus_ponens,[status(thm)],[38395, 38394])).
% 17.88/13.09 tff(38397,plain,
% 17.88/13.09 (v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149))))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38396, 644])).
% 17.88/13.09 tff(38398,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB149)) <=> v140(constB149))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38399,plain,
% 17.88/13.09 ((~v139(constB149)) <=> v140(constB149)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38398, 203])).
% 17.88/13.09 tff(38400,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB149) <=> (v141(constB149) | v26(constB149)))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38401,plain,
% 17.88/13.09 (v140(constB149) <=> (v141(constB149) | v26(constB149))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38400, 212])).
% 17.88/13.09 tff(38402,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB149) <=> (~((~v39(constB149)) | (~v9(constB149)))))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38403,plain,
% 17.88/13.09 (v141(constB149) <=> (~((~v39(constB149)) | (~v9(constB149))))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38402, 130])).
% 17.88/13.09 tff(38404,plain,
% 17.88/13.09 (((~![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)))),
% 17.88/13.09 inference(rewrite,[status(thm)],[])).
% 17.88/13.09 tff(38405,plain,
% 17.88/13.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149)))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38406,plain,
% 17.88/13.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149))),
% 17.88/13.09 inference(modus_ponens,[status(thm)],[38405, 38404])).
% 17.88/13.09 tff(38407,plain,
% 17.88/13.09 (v13(constB150) <=> v9(constB149)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38406, 15040, 226])).
% 17.88/13.09 tff(38408,plain,
% 17.88/13.09 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB150) <=> v13(constB150))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38409,plain,
% 17.88/13.09 (v6(constB150) <=> v13(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38408, 240])).
% 17.88/13.09 tff(38410,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB150)) <=> v6(constB150))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38411,plain,
% 17.88/13.09 ((~v21(constB150)) <=> v6(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38410, 249])).
% 17.88/13.09 tff(38412,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB150) <=> (v20(constB150) | v21(constB150)))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38413,plain,
% 17.88/13.09 (v19(constB150) <=> (v20(constB150) | v21(constB150))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38412, 258])).
% 17.88/13.09 tff(38414,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150)))))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38415,plain,
% 17.88/13.09 (v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150))))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38414, 270])).
% 17.88/13.09 tff(38416,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB150)) <=> v18(constB150))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38417,plain,
% 17.88/13.09 ((~v4(constB150)) <=> v18(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38416, 279])).
% 17.88/13.09 tff(38418,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB150)),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38419,plain,
% 17.88/13.09 (v4(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38418, 288])).
% 17.88/13.09 tff(38420,plain,
% 17.88/13.09 ((~((~v4(constB150)) <=> v18(constB150))) | (~v4(constB150)) | (~v18(constB150))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38421,plain,
% 17.88/13.09 (~v18(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38420, 38419, 38417])).
% 17.88/13.09 tff(38422,plain,
% 17.88/13.09 ((~(v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150)))))) | v18(constB150) | ((~v19(constB150)) | (~v22(constB150)))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38423,plain,
% 17.88/13.09 ((~v19(constB150)) | (~v22(constB150))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38422, 38421, 38415])).
% 17.88/13.09 tff(38424,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB150) <=> (v1(constB150) | v6(constB150)))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38425,plain,
% 17.88/13.09 (v22(constB150) <=> (v1(constB150) | v6(constB150))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38424, 301])).
% 17.88/13.09 tff(38426,plain,
% 17.88/13.09 ((v1(constB150) | v6(constB150)) | (~v1(constB150))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38427,plain,
% 17.88/13.09 (v1(constB150) | v6(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38426, 20440])).
% 17.88/13.09 tff(38428,plain,
% 17.88/13.09 ((~(v22(constB150) <=> (v1(constB150) | v6(constB150)))) | v22(constB150) | (~(v1(constB150) | v6(constB150)))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38429,plain,
% 17.88/13.09 ((~(v22(constB150) <=> (v1(constB150) | v6(constB150)))) | v22(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38428, 38427])).
% 17.88/13.09 tff(38430,plain,
% 17.88/13.09 (v22(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38429, 38425])).
% 17.88/13.09 tff(38431,plain,
% 17.88/13.09 ((~((~v19(constB150)) | (~v22(constB150)))) | (~v19(constB150)) | (~v22(constB150))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38432,plain,
% 17.88/13.09 ((~((~v19(constB150)) | (~v22(constB150)))) | (~v19(constB150))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38431, 38430])).
% 17.88/13.09 tff(38433,plain,
% 17.88/13.09 (~v19(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38432, 38423])).
% 17.88/13.09 tff(38434,plain,
% 17.88/13.09 ((~(v19(constB150) <=> (v20(constB150) | v21(constB150)))) | v19(constB150) | (~(v20(constB150) | v21(constB150)))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38435,plain,
% 17.88/13.09 (~(v20(constB150) | v21(constB150))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38434, 38433, 38413])).
% 17.88/13.09 tff(38436,plain,
% 17.88/13.09 ((v20(constB150) | v21(constB150)) | (~v21(constB150))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38437,plain,
% 17.88/13.09 (~v21(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38436, 38435])).
% 17.88/13.09 tff(38438,plain,
% 17.88/13.09 ((~((~v21(constB150)) <=> v6(constB150))) | v21(constB150) | v6(constB150)),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38439,plain,
% 17.88/13.09 (v6(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38438, 38437, 38411])).
% 17.88/13.09 tff(38440,plain,
% 17.88/13.09 ((~(v6(constB150) <=> v13(constB150))) | (~v6(constB150)) | v13(constB150)),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38441,plain,
% 17.88/13.09 (v13(constB150)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38440, 38439, 38409])).
% 17.88/13.09 tff(38442,plain,
% 17.88/13.09 ((~(v13(constB150) <=> v9(constB149))) | (~v13(constB150)) | v9(constB149)),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38443,plain,
% 17.88/13.09 (v9(constB149)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38442, 38441, 38407])).
% 17.88/13.09 tff(38444,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB149)) <=> v1(constB149))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38445,plain,
% 17.88/13.09 ((~v39(constB149)) <=> v1(constB149)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38444, 139])).
% 17.88/13.09 tff(38446,plain,
% 17.88/13.09 ((~((~v39(constB149)) <=> v1(constB149))) | v39(constB149) | v1(constB149)),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38447,plain,
% 17.88/13.09 ((~((~v39(constB149)) <=> v1(constB149))) | v39(constB149)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38446, 15084])).
% 17.88/13.09 tff(38448,plain,
% 17.88/13.09 (v39(constB149)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38447, 38445])).
% 17.88/13.09 tff(38449,plain,
% 17.88/13.09 ((~((~v39(constB149)) | (~v9(constB149)))) | (~v39(constB149)) | (~v9(constB149))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38450,plain,
% 17.88/13.09 ((~((~v39(constB149)) | (~v9(constB149)))) | (~v9(constB149))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38449, 38448])).
% 17.88/13.09 tff(38451,plain,
% 17.88/13.09 (~((~v39(constB149)) | (~v9(constB149)))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38450, 38443])).
% 17.88/13.09 tff(38452,plain,
% 17.88/13.09 ((~(v141(constB149) <=> (~((~v39(constB149)) | (~v9(constB149)))))) | v141(constB149) | ((~v39(constB149)) | (~v9(constB149)))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38453,plain,
% 17.88/13.09 (v141(constB149)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38452, 38451, 38403])).
% 17.88/13.09 tff(38454,plain,
% 17.88/13.09 ((v141(constB149) | v26(constB149)) | (~v141(constB149))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38455,plain,
% 17.88/13.09 (v141(constB149) | v26(constB149)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38454, 38453])).
% 17.88/13.09 tff(38456,plain,
% 17.88/13.09 ((~(v140(constB149) <=> (v141(constB149) | v26(constB149)))) | v140(constB149) | (~(v141(constB149) | v26(constB149)))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38457,plain,
% 17.88/13.09 (v140(constB149)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38456, 38455, 38401])).
% 17.88/13.09 tff(38458,plain,
% 17.88/13.09 ((~((~v139(constB149)) <=> v140(constB149))) | (~v139(constB149)) | (~v140(constB149))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38459,plain,
% 17.88/13.09 (~v139(constB149)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38458, 38457, 38399])).
% 17.88/13.09 tff(38460,plain,
% 17.88/13.09 (((~v132(constB149)) | (~v139(constB149))) | v139(constB149)),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38461,plain,
% 17.88/13.09 ((~v132(constB149)) | (~v139(constB149))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38460, 38459])).
% 17.88/13.09 tff(38462,plain,
% 17.88/13.09 ((~(v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149)))))) | (~v138(constB149)) | (~((~v132(constB149)) | (~v139(constB149))))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38463,plain,
% 17.88/13.09 (~v138(constB149)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38462, 38461, 38397])).
% 17.88/13.09 tff(38464,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB149) <=> (~((~v143(constB149)) | (~v144(constB149)))))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38465,plain,
% 17.88/13.09 (v142(constB149) <=> (~((~v143(constB149)) | (~v144(constB149))))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38464, 596])).
% 17.88/13.09 tff(38466,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB149) <=> (~((~v141(constB149)) | (~v145(constB149)))))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38467,plain,
% 17.88/13.09 (v144(constB149) <=> (~((~v141(constB149)) | (~v145(constB149))))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38466, 608])).
% 17.88/13.09 tff(38468,plain,
% 17.88/13.09 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB149) <=> (~(v84(constB149, 1) | v84(constB149, 2) | (~v84(constB149, 0)))))),
% 17.88/13.09 inference(quant_inst,[status(thm)],[])).
% 17.88/13.09 tff(38469,plain,
% 17.88/13.09 (v145(constB149) <=> (~(v84(constB149, 1) | v84(constB149, 2) | (~v84(constB149, 0))))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38468, 755])).
% 17.88/13.09 tff(38470,plain,
% 17.88/13.09 ((v84(constB149, 1) | v84(constB149, 2) | (~v84(constB149, 0))) | (~v84(constB149, 1))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38471,plain,
% 17.88/13.09 (v84(constB149, 1) | v84(constB149, 2) | (~v84(constB149, 0))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38470, 20395])).
% 17.88/13.09 tff(38472,plain,
% 17.88/13.09 ((~(v145(constB149) <=> (~(v84(constB149, 1) | v84(constB149, 2) | (~v84(constB149, 0)))))) | (~v145(constB149)) | (~(v84(constB149, 1) | v84(constB149, 2) | (~v84(constB149, 0))))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38473,plain,
% 17.88/13.09 (~v145(constB149)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38472, 38471, 38469])).
% 17.88/13.09 tff(38474,plain,
% 17.88/13.09 (((~v141(constB149)) | (~v145(constB149))) | v145(constB149)),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38475,plain,
% 17.88/13.09 ((~v141(constB149)) | (~v145(constB149))),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38474, 38473])).
% 17.88/13.09 tff(38476,plain,
% 17.88/13.09 ((~(v144(constB149) <=> (~((~v141(constB149)) | (~v145(constB149)))))) | (~v144(constB149)) | (~((~v141(constB149)) | (~v145(constB149))))),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38477,plain,
% 17.88/13.09 (~v144(constB149)),
% 17.88/13.09 inference(unit_resolution,[status(thm)],[38476, 38475, 38467])).
% 17.88/13.09 tff(38478,plain,
% 17.88/13.09 (((~v143(constB149)) | (~v144(constB149))) | v144(constB149)),
% 17.88/13.09 inference(tautology,[status(thm)],[])).
% 17.88/13.09 tff(38479,plain,
% 17.88/13.09 ((~v143(constB149)) | (~v144(constB149))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38478, 38477])).
% 17.96/13.10 tff(38480,plain,
% 17.96/13.10 ((~(v142(constB149) <=> (~((~v143(constB149)) | (~v144(constB149)))))) | (~v142(constB149)) | (~((~v143(constB149)) | (~v144(constB149))))),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38481,plain,
% 17.96/13.10 (~v142(constB149)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38480, 38479, 38465])).
% 17.96/13.10 tff(38482,plain,
% 17.96/13.10 ((~(v138(constB149) | v142(constB149))) | v138(constB149) | v142(constB149)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38483,plain,
% 17.96/13.10 (~(v138(constB149) | v142(constB149))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38482, 38481, 38463])).
% 17.96/13.10 tff(38484,plain,
% 17.96/13.10 ((~(v135(constB149) <=> (v138(constB149) | v142(constB149)))) | (~v135(constB149)) | (v138(constB149) | v142(constB149))),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38485,plain,
% 17.96/13.10 (~v135(constB149)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38484, 38483, 38390])).
% 17.96/13.10 tff(38486,plain,
% 17.96/13.10 ((~(v137(constB150) <=> v135(constB149))) | (~v137(constB150)) | v135(constB149)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38487,plain,
% 17.96/13.10 (~v137(constB150)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38486, 38485, 38388])).
% 17.96/13.10 tff(38488,plain,
% 17.96/13.10 ((~(v132(constB150) <=> v137(constB150))) | (~v132(constB150)) | v137(constB150)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38489,plain,
% 17.96/13.10 (~v132(constB150)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38488, 38487, 38384])).
% 17.96/13.10 tff(38490,plain,
% 17.96/13.10 (((~v132(constB150)) | (~v139(constB150))) | v132(constB150)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38491,plain,
% 17.96/13.10 ((~v132(constB150)) | (~v139(constB150))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38490, 38489])).
% 17.96/13.10 tff(38492,plain,
% 17.96/13.10 ((~(v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150)))))) | (~v138(constB150)) | (~((~v132(constB150)) | (~v139(constB150))))),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38493,plain,
% 17.96/13.10 (~v138(constB150)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38492, 38491, 38382])).
% 17.96/13.10 tff(38494,plain,
% 17.96/13.10 ((~(v138(constB150) | v142(constB150))) | v138(constB150) | v142(constB150)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38495,plain,
% 17.96/13.10 (~(v138(constB150) | v142(constB150))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38494, 38493, 38375])).
% 17.96/13.10 tff(38496,plain,
% 17.96/13.10 ((~(v135(constB150) <=> (v138(constB150) | v142(constB150)))) | (~v135(constB150)) | (v138(constB150) | v142(constB150))),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38497,plain,
% 17.96/13.10 (~v135(constB150)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38496, 38495, 38350])).
% 17.96/13.10 tff(38498,plain,
% 17.96/13.10 ((~(v137(constB151) <=> v135(constB150))) | (~v137(constB151)) | v135(constB150)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38499,plain,
% 17.96/13.10 (~v137(constB151)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38498, 38497, 38348])).
% 17.96/13.10 tff(38500,plain,
% 17.96/13.10 ((~(v132(constB151) <=> v137(constB151))) | (~v132(constB151)) | v137(constB151)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38501,plain,
% 17.96/13.10 (~v132(constB151)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38500, 38499, 38344])).
% 17.96/13.10 tff(38502,plain,
% 17.96/13.10 (((~v132(constB151)) | (~v155(constB151))) | v132(constB151)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38503,plain,
% 17.96/13.10 ((~v132(constB151)) | (~v155(constB151))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38502, 38501])).
% 17.96/13.10 tff(38504,plain,
% 17.96/13.10 ((~(v154(constB151) <=> (~((~v132(constB151)) | (~v155(constB151)))))) | (~v154(constB151)) | (~((~v132(constB151)) | (~v155(constB151))))),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38505,plain,
% 17.96/13.10 (~v154(constB151)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38504, 38503, 38342])).
% 17.96/13.10 tff(38506,plain,
% 17.96/13.10 ((~(v153(constB151) | v154(constB151))) | v153(constB151) | v154(constB151)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38507,plain,
% 17.96/13.10 (~(v153(constB151) | v154(constB151))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38506, 38505, 38335])).
% 17.96/13.10 tff(38508,plain,
% 17.96/13.10 ((~(v150(constB151) <=> (v153(constB151) | v154(constB151)))) | (~v150(constB151)) | (v153(constB151) | v154(constB151))),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38509,plain,
% 17.96/13.10 (~v150(constB151)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38508, 38507, 38324])).
% 17.96/13.10 tff(38510,plain,
% 17.96/13.10 ((~(v152(constB152) <=> v150(constB151))) | (~v152(constB152)) | v150(constB151)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38511,plain,
% 17.96/13.10 (~v152(constB152)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38510, 38509, 38322])).
% 17.96/13.10 tff(38512,plain,
% 17.96/13.10 ((~(v130(constB152) <=> v152(constB152))) | (~v130(constB152)) | v152(constB152)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38513,plain,
% 17.96/13.10 (~v130(constB152)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38512, 38511, 38318])).
% 17.96/13.10 tff(38514,plain,
% 17.96/13.10 (((~v130(constB152)) | (~v139(constB152))) | v130(constB152)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38515,plain,
% 17.96/13.10 ((~v130(constB152)) | (~v139(constB152))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38514, 38513])).
% 17.96/13.10 tff(38516,plain,
% 17.96/13.10 ((~(v153(constB152) <=> (~((~v130(constB152)) | (~v139(constB152)))))) | (~v153(constB152)) | (~((~v130(constB152)) | (~v139(constB152))))),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38517,plain,
% 17.96/13.10 (~v153(constB152)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38516, 38515, 38316])).
% 17.96/13.10 tff(38518,plain,
% 17.96/13.10 ((~(v153(constB152) | v154(constB152))) | v153(constB152) | v154(constB152)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38519,plain,
% 17.96/13.10 (~(v153(constB152) | v154(constB152))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38518, 38517, 38309])).
% 17.96/13.10 tff(38520,plain,
% 17.96/13.10 ((~(v150(constB152) <=> (v153(constB152) | v154(constB152)))) | (~v150(constB152)) | (v153(constB152) | v154(constB152))),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38521,plain,
% 17.96/13.10 (~v150(constB152)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38520, 38519, 38286])).
% 17.96/13.10 tff(38522,plain,
% 17.96/13.10 ((~(v152(constB153) <=> v150(constB152))) | (~v152(constB153)) | v150(constB152)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38523,plain,
% 17.96/13.10 (~v152(constB153)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38522, 38521, 38284])).
% 17.96/13.10 tff(38524,plain,
% 17.96/13.10 ((~(v130(constB153) <=> v152(constB153))) | (~v130(constB153)) | v152(constB153)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38525,plain,
% 17.96/13.10 (~v130(constB153)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38524, 38523, 38280])).
% 17.96/13.10 tff(38526,plain,
% 17.96/13.10 (((~v130(constB153)) | (~v155(constB153))) | v130(constB153)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38527,plain,
% 17.96/13.10 ((~v130(constB153)) | (~v155(constB153))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38526, 38525])).
% 17.96/13.10 tff(38528,plain,
% 17.96/13.10 ((~(v164(constB153) <=> (~((~v130(constB153)) | (~v155(constB153)))))) | (~v164(constB153)) | (~((~v130(constB153)) | (~v155(constB153))))),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38529,plain,
% 17.96/13.10 (~v164(constB153)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38528, 38527, 38278])).
% 17.96/13.10 tff(38530,plain,
% 17.96/13.10 ((~(v163(constB153) | v164(constB153))) | v163(constB153) | v164(constB153)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38531,plain,
% 17.96/13.10 (~(v163(constB153) | v164(constB153))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38530, 38529, 38271])).
% 17.96/13.10 tff(38532,plain,
% 17.96/13.10 ((~(v160(constB153) <=> (v163(constB153) | v164(constB153)))) | (~v160(constB153)) | (v163(constB153) | v164(constB153))),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38533,plain,
% 17.96/13.10 (~v160(constB153)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38532, 38531, 38260])).
% 17.96/13.10 tff(38534,plain,
% 17.96/13.10 ((~(v162(constB154) <=> v160(constB153))) | (~v162(constB154)) | v160(constB153)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38535,plain,
% 17.96/13.10 (~v162(constB154)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38534, 38533, 38258])).
% 17.96/13.10 tff(38536,plain,
% 17.96/13.10 ((~(v128(constB154) <=> v162(constB154))) | (~v128(constB154)) | v162(constB154)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38537,plain,
% 17.96/13.10 (~v128(constB154)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38536, 38535, 38254])).
% 17.96/13.10 tff(38538,plain,
% 17.96/13.10 (((~v128(constB154)) | (~v139(constB154))) | v128(constB154)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38539,plain,
% 17.96/13.10 ((~v128(constB154)) | (~v139(constB154))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38538, 38537])).
% 17.96/13.10 tff(38540,plain,
% 17.96/13.10 ((~(v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154)))))) | (~v163(constB154)) | (~((~v128(constB154)) | (~v139(constB154))))),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38541,plain,
% 17.96/13.10 (~v163(constB154)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38540, 38539, 38252])).
% 17.96/13.10 tff(38542,plain,
% 17.96/13.10 ((~(v163(constB154) | v164(constB154))) | v163(constB154) | v164(constB154)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38543,plain,
% 17.96/13.10 (~(v163(constB154) | v164(constB154))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38542, 38541, 38245])).
% 17.96/13.10 tff(38544,plain,
% 17.96/13.10 ((~(v160(constB154) <=> (v163(constB154) | v164(constB154)))) | (~v160(constB154)) | (v163(constB154) | v164(constB154))),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38545,plain,
% 17.96/13.10 (~v160(constB154)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38544, 38543, 38234])).
% 17.96/13.10 tff(38546,plain,
% 17.96/13.10 ((~(v162(constB155) <=> v160(constB154))) | (~v162(constB155)) | v160(constB154)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38547,plain,
% 17.96/13.10 (~v162(constB155)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38546, 38545, 38232])).
% 17.96/13.10 tff(38548,plain,
% 17.96/13.10 ($false),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38547, 38228])).
% 17.96/13.10 tff(38549,plain,(~(constB155 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.96/13.10 tff(38550,assumption,(constB165 = VarCurr!0), introduced(assumption)).
% 17.96/13.10 tff(38551,plain,
% 17.96/13.10 (v162(constB165) <=> v162(VarCurr!0)),
% 17.96/13.10 inference(monotonicity,[status(thm)],[38550])).
% 17.96/13.10 tff(38552,plain,
% 17.96/13.10 (v162(VarCurr!0) <=> v162(constB165)),
% 17.96/13.10 inference(symmetry,[status(thm)],[38551])).
% 17.96/13.10 tff(38553,plain,
% 17.96/13.10 (v162(constB165)),
% 17.96/13.10 inference(modus_ponens,[status(thm)],[59, 38552])).
% 17.96/13.10 tff(38554,plain,
% 17.96/13.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB164, constB165)) | (v162(constB165) <=> v160(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB164, constB165)) | (v162(constB165) <=> v160(constB164)))),
% 17.96/13.10 inference(rewrite,[status(thm)],[])).
% 17.96/13.10 tff(38555,plain,
% 17.96/13.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB164, constB165)) | (v162(constB165) <=> v160(constB164)))),
% 17.96/13.10 inference(quant_inst,[status(thm)],[])).
% 17.96/13.10 tff(38556,plain,
% 17.96/13.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB164, constB165)) | (v162(constB165) <=> v160(constB164))),
% 17.96/13.10 inference(modus_ponens,[status(thm)],[38555, 38554])).
% 17.96/13.10 tff(38557,plain,
% 17.96/13.10 (v162(constB165) <=> v160(constB164)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38556, 14405, 70])).
% 17.96/13.10 tff(38558,plain,
% 17.96/13.10 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB164) <=> (v163(constB164) | v164(constB164)))),
% 17.96/13.10 inference(quant_inst,[status(thm)],[])).
% 17.96/13.10 tff(38559,plain,
% 17.96/13.10 (v160(constB164) <=> (v163(constB164) | v164(constB164))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38558, 84])).
% 17.96/13.10 tff(38560,plain,
% 17.96/13.10 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB164) <=> (~((~v130(constB164)) | (~v155(constB164)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB164) <=> (~((~v130(constB164)) | (~v155(constB164))))))),
% 17.96/13.10 inference(rewrite,[status(thm)],[])).
% 17.96/13.10 tff(38561,plain,
% 17.96/13.10 ((v164(constB164) <=> (~((~v155(constB164)) | (~v130(constB164))))) <=> (v164(constB164) <=> (~((~v130(constB164)) | (~v155(constB164)))))),
% 17.96/13.10 inference(rewrite,[status(thm)],[])).
% 17.96/13.10 tff(38562,plain,
% 17.96/13.10 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB164) <=> (~((~v155(constB164)) | (~v130(constB164)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB164) <=> (~((~v130(constB164)) | (~v155(constB164))))))),
% 17.96/13.10 inference(monotonicity,[status(thm)],[38561])).
% 17.96/13.10 tff(38563,plain,
% 17.96/13.10 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB164) <=> (~((~v155(constB164)) | (~v130(constB164)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB164) <=> (~((~v130(constB164)) | (~v155(constB164))))))),
% 17.96/13.10 inference(transitivity,[status(thm)],[38562, 38560])).
% 17.96/13.10 tff(38564,plain,
% 17.96/13.10 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB164) <=> (~((~v155(constB164)) | (~v130(constB164)))))),
% 17.96/13.10 inference(quant_inst,[status(thm)],[])).
% 17.96/13.10 tff(38565,plain,
% 17.96/13.10 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB164) <=> (~((~v130(constB164)) | (~v155(constB164)))))),
% 17.96/13.10 inference(modus_ponens,[status(thm)],[38564, 38563])).
% 17.96/13.10 tff(38566,plain,
% 17.96/13.10 (v164(constB164) <=> (~((~v130(constB164)) | (~v155(constB164))))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38565, 96])).
% 17.96/13.10 tff(38567,plain,
% 17.96/13.10 (((~v130(constB164)) | (~v155(constB164))) | v155(constB164)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38568,plain,
% 17.96/13.10 ((~v130(constB164)) | (~v155(constB164))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38567, 14445])).
% 17.96/13.10 tff(38569,plain,
% 17.96/13.10 ((~(v164(constB164) <=> (~((~v130(constB164)) | (~v155(constB164)))))) | (~v164(constB164)) | (~((~v130(constB164)) | (~v155(constB164))))),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38570,plain,
% 17.96/13.10 (~v164(constB164)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38569, 38568, 38566])).
% 17.96/13.10 tff(38571,plain,
% 17.96/13.10 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB164) <=> (~((~v128(constB164)) | (~v139(constB164)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB164) <=> (~((~v128(constB164)) | (~v139(constB164))))))),
% 17.96/13.10 inference(rewrite,[status(thm)],[])).
% 17.96/13.10 tff(38572,plain,
% 17.96/13.10 ((v163(constB164) <=> (~((~v139(constB164)) | (~v128(constB164))))) <=> (v163(constB164) <=> (~((~v128(constB164)) | (~v139(constB164)))))),
% 17.96/13.10 inference(rewrite,[status(thm)],[])).
% 17.96/13.10 tff(38573,plain,
% 17.96/13.10 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB164) <=> (~((~v139(constB164)) | (~v128(constB164)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB164) <=> (~((~v128(constB164)) | (~v139(constB164))))))),
% 17.96/13.10 inference(monotonicity,[status(thm)],[38572])).
% 17.96/13.10 tff(38574,plain,
% 17.96/13.10 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB164) <=> (~((~v139(constB164)) | (~v128(constB164)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB164) <=> (~((~v128(constB164)) | (~v139(constB164))))))),
% 17.96/13.10 inference(transitivity,[status(thm)],[38573, 38571])).
% 17.96/13.10 tff(38575,plain,
% 17.96/13.10 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB164) <=> (~((~v139(constB164)) | (~v128(constB164)))))),
% 17.96/13.10 inference(quant_inst,[status(thm)],[])).
% 17.96/13.10 tff(38576,plain,
% 17.96/13.10 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB164) <=> (~((~v128(constB164)) | (~v139(constB164)))))),
% 17.96/13.10 inference(modus_ponens,[status(thm)],[38575, 38574])).
% 17.96/13.10 tff(38577,plain,
% 17.96/13.10 (v163(constB164) <=> (~((~v128(constB164)) | (~v139(constB164))))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38576, 171])).
% 17.96/13.10 tff(38578,plain,
% 17.96/13.10 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB164) <=> v162(constB164))),
% 17.96/13.10 inference(quant_inst,[status(thm)],[])).
% 17.96/13.10 tff(38579,plain,
% 17.96/13.10 (v128(constB164) <=> v162(constB164)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38578, 13])).
% 17.96/13.10 tff(38580,plain,
% 17.96/13.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB163, constB164)) | (v162(constB164) <=> v160(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB163, constB164)) | (v162(constB164) <=> v160(constB163)))),
% 17.96/13.10 inference(rewrite,[status(thm)],[])).
% 17.96/13.10 tff(38581,plain,
% 17.96/13.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB163, constB164)) | (v162(constB164) <=> v160(constB163)))),
% 17.96/13.10 inference(quant_inst,[status(thm)],[])).
% 17.96/13.10 tff(38582,plain,
% 17.96/13.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB163, constB164)) | (v162(constB164) <=> v160(constB163))),
% 17.96/13.10 inference(modus_ponens,[status(thm)],[38581, 38580])).
% 17.96/13.10 tff(38583,plain,
% 17.96/13.10 (v162(constB164) <=> v160(constB163)),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38582, 14461, 70])).
% 17.96/13.10 tff(38584,plain,
% 17.96/13.10 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB163) <=> (v163(constB163) | v164(constB163)))),
% 17.96/13.10 inference(quant_inst,[status(thm)],[])).
% 17.96/13.10 tff(38585,plain,
% 17.96/13.10 (v160(constB163) <=> (v163(constB163) | v164(constB163))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38584, 84])).
% 17.96/13.10 tff(38586,plain,
% 17.96/13.10 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB163) <=> (~((~v128(constB163)) | (~v139(constB163)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB163) <=> (~((~v128(constB163)) | (~v139(constB163))))))),
% 17.96/13.10 inference(rewrite,[status(thm)],[])).
% 17.96/13.10 tff(38587,plain,
% 17.96/13.10 ((v163(constB163) <=> (~((~v139(constB163)) | (~v128(constB163))))) <=> (v163(constB163) <=> (~((~v128(constB163)) | (~v139(constB163)))))),
% 17.96/13.10 inference(rewrite,[status(thm)],[])).
% 17.96/13.10 tff(38588,plain,
% 17.96/13.10 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB163) <=> (~((~v139(constB163)) | (~v128(constB163)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB163) <=> (~((~v128(constB163)) | (~v139(constB163))))))),
% 17.96/13.10 inference(monotonicity,[status(thm)],[38587])).
% 17.96/13.10 tff(38589,plain,
% 17.96/13.10 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB163) <=> (~((~v139(constB163)) | (~v128(constB163)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB163) <=> (~((~v128(constB163)) | (~v139(constB163))))))),
% 17.96/13.10 inference(transitivity,[status(thm)],[38588, 38586])).
% 17.96/13.10 tff(38590,plain,
% 17.96/13.10 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB163) <=> (~((~v139(constB163)) | (~v128(constB163)))))),
% 17.96/13.10 inference(quant_inst,[status(thm)],[])).
% 17.96/13.10 tff(38591,plain,
% 17.96/13.10 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB163) <=> (~((~v128(constB163)) | (~v139(constB163)))))),
% 17.96/13.10 inference(modus_ponens,[status(thm)],[38590, 38589])).
% 17.96/13.10 tff(38592,plain,
% 17.96/13.10 (v163(constB163) <=> (~((~v128(constB163)) | (~v139(constB163))))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38591, 171])).
% 17.96/13.10 tff(38593,plain,
% 17.96/13.10 (((~v128(constB163)) | (~v139(constB163))) | v139(constB163)),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38594,plain,
% 17.96/13.10 ((~v128(constB163)) | (~v139(constB163))),
% 17.96/13.10 inference(unit_resolution,[status(thm)],[38593, 14539])).
% 17.96/13.10 tff(38595,plain,
% 17.96/13.10 ((~(v163(constB163) <=> (~((~v128(constB163)) | (~v139(constB163)))))) | (~v163(constB163)) | (~((~v128(constB163)) | (~v139(constB163))))),
% 17.96/13.10 inference(tautology,[status(thm)],[])).
% 17.96/13.10 tff(38596,plain,
% 17.96/13.10 (~v163(constB163)),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38595, 38594, 38592])).
% 17.96/13.11 tff(38597,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB163) <=> (~((~v130(constB163)) | (~v155(constB163)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB163) <=> (~((~v130(constB163)) | (~v155(constB163))))))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38598,plain,
% 17.96/13.11 ((v164(constB163) <=> (~((~v155(constB163)) | (~v130(constB163))))) <=> (v164(constB163) <=> (~((~v130(constB163)) | (~v155(constB163)))))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38599,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB163) <=> (~((~v155(constB163)) | (~v130(constB163)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB163) <=> (~((~v130(constB163)) | (~v155(constB163))))))),
% 17.96/13.11 inference(monotonicity,[status(thm)],[38598])).
% 17.96/13.11 tff(38600,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB163) <=> (~((~v155(constB163)) | (~v130(constB163)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB163) <=> (~((~v130(constB163)) | (~v155(constB163))))))),
% 17.96/13.11 inference(transitivity,[status(thm)],[38599, 38597])).
% 17.96/13.11 tff(38601,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB163) <=> (~((~v155(constB163)) | (~v130(constB163)))))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38602,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB163) <=> (~((~v130(constB163)) | (~v155(constB163)))))),
% 17.96/13.11 inference(modus_ponens,[status(thm)],[38601, 38600])).
% 17.96/13.11 tff(38603,plain,
% 17.96/13.11 (v164(constB163) <=> (~((~v130(constB163)) | (~v155(constB163))))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38602, 96])).
% 17.96/13.11 tff(38604,plain,
% 17.96/13.11 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB163) <=> v152(constB163))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38605,plain,
% 17.96/13.11 (v130(constB163) <=> v152(constB163)),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38604, 361])).
% 17.96/13.11 tff(38606,plain,
% 17.96/13.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB162, constB163)) | (v152(constB163) <=> v150(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB162, constB163)) | (v152(constB163) <=> v150(constB162)))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38607,plain,
% 17.96/13.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB162, constB163)) | (v152(constB163) <=> v150(constB162)))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38608,plain,
% 17.96/13.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB162, constB163)) | (v152(constB163) <=> v150(constB162))),
% 17.96/13.11 inference(modus_ponens,[status(thm)],[38607, 38606])).
% 17.96/13.11 tff(38609,plain,
% 17.96/13.11 (v152(constB163) <=> v150(constB162)),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38608, 14555, 373])).
% 17.96/13.11 tff(38610,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB162) <=> (v153(constB162) | v154(constB162)))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38611,plain,
% 17.96/13.11 (v150(constB162) <=> (v153(constB162) | v154(constB162))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38610, 387])).
% 17.96/13.11 tff(38612,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB162) <=> (~((~v132(constB162)) | (~v155(constB162)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB162) <=> (~((~v132(constB162)) | (~v155(constB162))))))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38613,plain,
% 17.96/13.11 ((v154(constB162) <=> (~((~v155(constB162)) | (~v132(constB162))))) <=> (v154(constB162) <=> (~((~v132(constB162)) | (~v155(constB162)))))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38614,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB162) <=> (~((~v155(constB162)) | (~v132(constB162)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB162) <=> (~((~v132(constB162)) | (~v155(constB162))))))),
% 17.96/13.11 inference(monotonicity,[status(thm)],[38613])).
% 17.96/13.11 tff(38615,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB162) <=> (~((~v155(constB162)) | (~v132(constB162)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB162) <=> (~((~v132(constB162)) | (~v155(constB162))))))),
% 17.96/13.11 inference(transitivity,[status(thm)],[38614, 38612])).
% 17.96/13.11 tff(38616,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB162) <=> (~((~v155(constB162)) | (~v132(constB162)))))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38617,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB162) <=> (~((~v132(constB162)) | (~v155(constB162)))))),
% 17.96/13.11 inference(modus_ponens,[status(thm)],[38616, 38615])).
% 17.96/13.11 tff(38618,plain,
% 17.96/13.11 (v154(constB162) <=> (~((~v132(constB162)) | (~v155(constB162))))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38617, 399])).
% 17.96/13.11 tff(38619,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB162) <=> (~((~v141(constB162)) | (~v143(constB162)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB162) <=> (~((~v141(constB162)) | (~v143(constB162))))))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38620,plain,
% 17.96/13.11 ((v155(constB162) <=> (~((~v143(constB162)) | (~v141(constB162))))) <=> (v155(constB162) <=> (~((~v141(constB162)) | (~v143(constB162)))))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38621,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB162) <=> (~((~v143(constB162)) | (~v141(constB162)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB162) <=> (~((~v141(constB162)) | (~v143(constB162))))))),
% 17.96/13.11 inference(monotonicity,[status(thm)],[38620])).
% 17.96/13.11 tff(38622,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB162) <=> (~((~v143(constB162)) | (~v141(constB162)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB162) <=> (~((~v141(constB162)) | (~v143(constB162))))))),
% 17.96/13.11 inference(transitivity,[status(thm)],[38621, 38619])).
% 17.96/13.11 tff(38623,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB162) <=> (~((~v143(constB162)) | (~v141(constB162)))))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38624,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB162) <=> (~((~v141(constB162)) | (~v143(constB162)))))),
% 17.96/13.11 inference(modus_ponens,[status(thm)],[38623, 38622])).
% 17.96/13.11 tff(38625,plain,
% 17.96/13.11 (v155(constB162) <=> (~((~v141(constB162)) | (~v143(constB162))))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38624, 113])).
% 17.96/13.11 tff(38626,plain,
% 17.96/13.11 (((~v141(constB162)) | (~v143(constB162))) | v141(constB162)),
% 17.96/13.11 inference(tautology,[status(thm)],[])).
% 17.96/13.11 tff(38627,plain,
% 17.96/13.11 ((~v141(constB162)) | (~v143(constB162))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38626, 14580])).
% 17.96/13.11 tff(38628,plain,
% 17.96/13.11 ((~(v155(constB162) <=> (~((~v141(constB162)) | (~v143(constB162)))))) | (~v155(constB162)) | (~((~v141(constB162)) | (~v143(constB162))))),
% 17.96/13.11 inference(tautology,[status(thm)],[])).
% 17.96/13.11 tff(38629,plain,
% 17.96/13.11 ((~(v155(constB162) <=> (~((~v141(constB162)) | (~v143(constB162)))))) | (~v155(constB162))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38628, 38627])).
% 17.96/13.11 tff(38630,plain,
% 17.96/13.11 (~v155(constB162)),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38629, 38625])).
% 17.96/13.11 tff(38631,plain,
% 17.96/13.11 (((~v132(constB162)) | (~v155(constB162))) | v155(constB162)),
% 17.96/13.11 inference(tautology,[status(thm)],[])).
% 17.96/13.11 tff(38632,plain,
% 17.96/13.11 ((~v132(constB162)) | (~v155(constB162))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38631, 38630])).
% 17.96/13.11 tff(38633,plain,
% 17.96/13.11 ((~(v154(constB162) <=> (~((~v132(constB162)) | (~v155(constB162)))))) | (~v154(constB162)) | (~((~v132(constB162)) | (~v155(constB162))))),
% 17.96/13.11 inference(tautology,[status(thm)],[])).
% 17.96/13.11 tff(38634,plain,
% 17.96/13.11 (~v154(constB162)),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38633, 38632, 38618])).
% 17.96/13.11 tff(38635,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB162) <=> (~((~v130(constB162)) | (~v139(constB162)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB162) <=> (~((~v130(constB162)) | (~v139(constB162))))))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38636,plain,
% 17.96/13.11 ((v153(constB162) <=> (~((~v139(constB162)) | (~v130(constB162))))) <=> (v153(constB162) <=> (~((~v130(constB162)) | (~v139(constB162)))))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38637,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB162) <=> (~((~v139(constB162)) | (~v130(constB162)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB162) <=> (~((~v130(constB162)) | (~v139(constB162))))))),
% 17.96/13.11 inference(monotonicity,[status(thm)],[38636])).
% 17.96/13.11 tff(38638,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB162) <=> (~((~v139(constB162)) | (~v130(constB162)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB162) <=> (~((~v130(constB162)) | (~v139(constB162))))))),
% 17.96/13.11 inference(transitivity,[status(thm)],[38637, 38635])).
% 17.96/13.11 tff(38639,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB162) <=> (~((~v139(constB162)) | (~v130(constB162)))))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38640,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB162) <=> (~((~v130(constB162)) | (~v139(constB162)))))),
% 17.96/13.11 inference(modus_ponens,[status(thm)],[38639, 38638])).
% 17.96/13.11 tff(38641,plain,
% 17.96/13.11 (v153(constB162) <=> (~((~v130(constB162)) | (~v139(constB162))))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38640, 447])).
% 17.96/13.11 tff(38642,plain,
% 17.96/13.11 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB162) <=> v152(constB162))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38643,plain,
% 17.96/13.11 (v130(constB162) <=> v152(constB162)),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38642, 361])).
% 17.96/13.11 tff(38644,plain,
% 17.96/13.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB161, constB162)) | (v152(constB162) <=> v150(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB161, constB162)) | (v152(constB162) <=> v150(constB161)))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38645,plain,
% 17.96/13.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB161, constB162)) | (v152(constB162) <=> v150(constB161)))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38646,plain,
% 17.96/13.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB161, constB162)) | (v152(constB162) <=> v150(constB161))),
% 17.96/13.11 inference(modus_ponens,[status(thm)],[38645, 38644])).
% 17.96/13.11 tff(38647,plain,
% 17.96/13.11 (v152(constB162) <=> v150(constB161)),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38646, 14601, 373])).
% 17.96/13.11 tff(38648,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB161) <=> (v153(constB161) | v154(constB161)))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38649,plain,
% 17.96/13.11 (v150(constB161) <=> (v153(constB161) | v154(constB161))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38648, 387])).
% 17.96/13.11 tff(38650,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB161) <=> (~((~v130(constB161)) | (~v139(constB161)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB161) <=> (~((~v130(constB161)) | (~v139(constB161))))))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38651,plain,
% 17.96/13.11 ((v153(constB161) <=> (~((~v139(constB161)) | (~v130(constB161))))) <=> (v153(constB161) <=> (~((~v130(constB161)) | (~v139(constB161)))))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38652,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB161) <=> (~((~v139(constB161)) | (~v130(constB161)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB161) <=> (~((~v130(constB161)) | (~v139(constB161))))))),
% 17.96/13.11 inference(monotonicity,[status(thm)],[38651])).
% 17.96/13.11 tff(38653,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB161) <=> (~((~v139(constB161)) | (~v130(constB161)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB161) <=> (~((~v130(constB161)) | (~v139(constB161))))))),
% 17.96/13.11 inference(transitivity,[status(thm)],[38652, 38650])).
% 17.96/13.11 tff(38654,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB161) <=> (~((~v139(constB161)) | (~v130(constB161)))))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38655,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB161) <=> (~((~v130(constB161)) | (~v139(constB161)))))),
% 17.96/13.11 inference(modus_ponens,[status(thm)],[38654, 38653])).
% 17.96/13.11 tff(38656,plain,
% 17.96/13.11 (v153(constB161) <=> (~((~v130(constB161)) | (~v139(constB161))))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38655, 447])).
% 17.96/13.11 tff(38657,plain,
% 17.96/13.11 (((~v130(constB161)) | (~v139(constB161))) | v139(constB161)),
% 17.96/13.11 inference(tautology,[status(thm)],[])).
% 17.96/13.11 tff(38658,plain,
% 17.96/13.11 ((~v130(constB161)) | (~v139(constB161))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38657, 14679])).
% 17.96/13.11 tff(38659,plain,
% 17.96/13.11 ((~(v153(constB161) <=> (~((~v130(constB161)) | (~v139(constB161)))))) | (~v153(constB161)) | (~((~v130(constB161)) | (~v139(constB161))))),
% 17.96/13.11 inference(tautology,[status(thm)],[])).
% 17.96/13.11 tff(38660,plain,
% 17.96/13.11 (~v153(constB161)),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38659, 38658, 38656])).
% 17.96/13.11 tff(38661,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB161) <=> (~((~v132(constB161)) | (~v155(constB161)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB161) <=> (~((~v132(constB161)) | (~v155(constB161))))))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38662,plain,
% 17.96/13.11 ((v154(constB161) <=> (~((~v155(constB161)) | (~v132(constB161))))) <=> (v154(constB161) <=> (~((~v132(constB161)) | (~v155(constB161)))))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38663,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB161) <=> (~((~v155(constB161)) | (~v132(constB161)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB161) <=> (~((~v132(constB161)) | (~v155(constB161))))))),
% 17.96/13.11 inference(monotonicity,[status(thm)],[38662])).
% 17.96/13.11 tff(38664,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB161) <=> (~((~v155(constB161)) | (~v132(constB161)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB161) <=> (~((~v132(constB161)) | (~v155(constB161))))))),
% 17.96/13.11 inference(transitivity,[status(thm)],[38663, 38661])).
% 17.96/13.11 tff(38665,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB161) <=> (~((~v155(constB161)) | (~v132(constB161)))))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38666,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB161) <=> (~((~v132(constB161)) | (~v155(constB161)))))),
% 17.96/13.11 inference(modus_ponens,[status(thm)],[38665, 38664])).
% 17.96/13.11 tff(38667,plain,
% 17.96/13.11 (v154(constB161) <=> (~((~v132(constB161)) | (~v155(constB161))))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38666, 399])).
% 17.96/13.11 tff(38668,plain,
% 17.96/13.11 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB161) <=> v137(constB161))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38669,plain,
% 17.96/13.11 (v132(constB161) <=> v137(constB161)),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38668, 558])).
% 17.96/13.11 tff(38670,plain,
% 17.96/13.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB160, constB161)) | (v137(constB161) <=> v135(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB160, constB161)) | (v137(constB161) <=> v135(constB160)))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38671,plain,
% 17.96/13.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB160, constB161)) | (v137(constB161) <=> v135(constB160)))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38672,plain,
% 17.96/13.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB160, constB161)) | (v137(constB161) <=> v135(constB160))),
% 17.96/13.11 inference(modus_ponens,[status(thm)],[38671, 38670])).
% 17.96/13.11 tff(38673,plain,
% 17.96/13.11 (v137(constB161) <=> v135(constB160)),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38672, 14692, 570])).
% 17.96/13.11 tff(38674,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB160) <=> (v138(constB160) | v142(constB160)))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38675,plain,
% 17.96/13.11 (v135(constB160) <=> (v138(constB160) | v142(constB160))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38674, 584])).
% 17.96/13.11 tff(38676,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB160) <=> (~((~v143(constB160)) | (~v144(constB160)))))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38677,plain,
% 17.96/13.11 (v142(constB160) <=> (~((~v143(constB160)) | (~v144(constB160))))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38676, 596])).
% 17.96/13.11 tff(38678,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB160) <=> (~((~v141(constB160)) | (~v145(constB160)))))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38679,plain,
% 17.96/13.11 (v144(constB160) <=> (~((~v141(constB160)) | (~v145(constB160))))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38678, 608])).
% 17.96/13.11 tff(38680,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB160) <=> (~((~v39(constB160)) | (~v9(constB160)))))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38681,plain,
% 17.96/13.11 (v141(constB160) <=> (~((~v39(constB160)) | (~v9(constB160))))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38680, 130])).
% 17.96/13.11 tff(38682,plain,
% 17.96/13.11 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB160)) <=> v1(constB160))),
% 17.96/13.11 inference(quant_inst,[status(thm)],[])).
% 17.96/13.11 tff(38683,plain,
% 17.96/13.11 ((~v39(constB160)) <=> v1(constB160)),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38682, 139])).
% 17.96/13.11 tff(38684,plain,
% 17.96/13.11 ((~((~v39(constB160)) <=> v1(constB160))) | (~v39(constB160)) | (~v1(constB160))),
% 17.96/13.11 inference(tautology,[status(thm)],[])).
% 17.96/13.11 tff(38685,plain,
% 17.96/13.11 ((~((~v39(constB160)) <=> v1(constB160))) | (~v39(constB160))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38684, 21236])).
% 17.96/13.11 tff(38686,plain,
% 17.96/13.11 (~v39(constB160)),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38685, 38683])).
% 17.96/13.11 tff(38687,plain,
% 17.96/13.11 (((~v39(constB160)) | (~v9(constB160))) | v39(constB160)),
% 17.96/13.11 inference(tautology,[status(thm)],[])).
% 17.96/13.11 tff(38688,plain,
% 17.96/13.11 ((~v39(constB160)) | (~v9(constB160))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38687, 38686])).
% 17.96/13.11 tff(38689,plain,
% 17.96/13.11 ((~(v141(constB160) <=> (~((~v39(constB160)) | (~v9(constB160)))))) | (~v141(constB160)) | (~((~v39(constB160)) | (~v9(constB160))))),
% 17.96/13.11 inference(tautology,[status(thm)],[])).
% 17.96/13.11 tff(38690,plain,
% 17.96/13.11 ((~(v141(constB160) <=> (~((~v39(constB160)) | (~v9(constB160)))))) | (~v141(constB160))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38689, 38688])).
% 17.96/13.11 tff(38691,plain,
% 17.96/13.11 (~v141(constB160)),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38690, 38681])).
% 17.96/13.11 tff(38692,plain,
% 17.96/13.11 (((~v141(constB160)) | (~v145(constB160))) | v141(constB160)),
% 17.96/13.11 inference(tautology,[status(thm)],[])).
% 17.96/13.11 tff(38693,plain,
% 17.96/13.11 ((~v141(constB160)) | (~v145(constB160))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38692, 38691])).
% 17.96/13.11 tff(38694,plain,
% 17.96/13.11 ((~(v144(constB160) <=> (~((~v141(constB160)) | (~v145(constB160)))))) | (~v144(constB160)) | (~((~v141(constB160)) | (~v145(constB160))))),
% 17.96/13.11 inference(tautology,[status(thm)],[])).
% 17.96/13.11 tff(38695,plain,
% 17.96/13.11 ((~(v144(constB160) <=> (~((~v141(constB160)) | (~v145(constB160)))))) | (~v144(constB160))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38694, 38693])).
% 17.96/13.11 tff(38696,plain,
% 17.96/13.11 (~v144(constB160)),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38695, 38679])).
% 17.96/13.11 tff(38697,plain,
% 17.96/13.11 (((~v143(constB160)) | (~v144(constB160))) | v144(constB160)),
% 17.96/13.11 inference(tautology,[status(thm)],[])).
% 17.96/13.11 tff(38698,plain,
% 17.96/13.11 ((~v143(constB160)) | (~v144(constB160))),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38697, 38696])).
% 17.96/13.11 tff(38699,plain,
% 17.96/13.11 ((~(v142(constB160) <=> (~((~v143(constB160)) | (~v144(constB160)))))) | (~v142(constB160)) | (~((~v143(constB160)) | (~v144(constB160))))),
% 17.96/13.11 inference(tautology,[status(thm)],[])).
% 17.96/13.11 tff(38700,plain,
% 17.96/13.11 (~v142(constB160)),
% 17.96/13.11 inference(unit_resolution,[status(thm)],[38699, 38698, 38677])).
% 17.96/13.11 tff(38701,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB160) <=> (~((~v132(constB160)) | (~v139(constB160)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB160) <=> (~((~v132(constB160)) | (~v139(constB160))))))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38702,plain,
% 17.96/13.11 ((v138(constB160) <=> (~((~v139(constB160)) | (~v132(constB160))))) <=> (v138(constB160) <=> (~((~v132(constB160)) | (~v139(constB160)))))),
% 17.96/13.11 inference(rewrite,[status(thm)],[])).
% 17.96/13.11 tff(38703,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB160) <=> (~((~v139(constB160)) | (~v132(constB160)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB160) <=> (~((~v132(constB160)) | (~v139(constB160))))))),
% 17.96/13.11 inference(monotonicity,[status(thm)],[38702])).
% 17.96/13.11 tff(38704,plain,
% 17.96/13.11 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB160) <=> (~((~v139(constB160)) | (~v132(constB160)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB160) <=> (~((~v132(constB160)) | (~v139(constB160))))))),
% 17.96/13.11 inference(transitivity,[status(thm)],[38703, 38701])).
% 17.96/13.12 tff(38705,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB160) <=> (~((~v139(constB160)) | (~v132(constB160)))))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38706,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB160) <=> (~((~v132(constB160)) | (~v139(constB160)))))),
% 17.96/13.12 inference(modus_ponens,[status(thm)],[38705, 38704])).
% 17.96/13.12 tff(38707,plain,
% 17.96/13.12 (v138(constB160) <=> (~((~v132(constB160)) | (~v139(constB160))))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38706, 644])).
% 17.96/13.12 tff(38708,plain,
% 17.96/13.12 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB160) <=> v137(constB160))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38709,plain,
% 17.96/13.12 (v132(constB160) <=> v137(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38708, 558])).
% 17.96/13.12 tff(38710,plain,
% 17.96/13.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB159, constB160)) | (v137(constB160) <=> v135(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB159, constB160)) | (v137(constB160) <=> v135(constB159)))),
% 17.96/13.12 inference(rewrite,[status(thm)],[])).
% 17.96/13.12 tff(38711,plain,
% 17.96/13.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB159, constB160)) | (v137(constB160) <=> v135(constB159)))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38712,plain,
% 17.96/13.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB159, constB160)) | (v137(constB160) <=> v135(constB159))),
% 17.96/13.12 inference(modus_ponens,[status(thm)],[38711, 38710])).
% 17.96/13.12 tff(38713,plain,
% 17.96/13.12 (v137(constB160) <=> v135(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38712, 14725, 570])).
% 17.96/13.12 tff(38714,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB159) <=> (v138(constB159) | v142(constB159)))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38715,plain,
% 17.96/13.12 (v135(constB159) <=> (v138(constB159) | v142(constB159))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38714, 584])).
% 17.96/13.12 tff(38716,plain,
% 17.96/13.12 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB159) <=> (~((~v132(constB159)) | (~v139(constB159)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB159) <=> (~((~v132(constB159)) | (~v139(constB159))))))),
% 17.96/13.12 inference(rewrite,[status(thm)],[])).
% 17.96/13.12 tff(38717,plain,
% 17.96/13.12 ((v138(constB159) <=> (~((~v139(constB159)) | (~v132(constB159))))) <=> (v138(constB159) <=> (~((~v132(constB159)) | (~v139(constB159)))))),
% 17.96/13.12 inference(rewrite,[status(thm)],[])).
% 17.96/13.12 tff(38718,plain,
% 17.96/13.12 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB159) <=> (~((~v139(constB159)) | (~v132(constB159)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB159) <=> (~((~v132(constB159)) | (~v139(constB159))))))),
% 17.96/13.12 inference(monotonicity,[status(thm)],[38717])).
% 17.96/13.12 tff(38719,plain,
% 17.96/13.12 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB159) <=> (~((~v139(constB159)) | (~v132(constB159)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB159) <=> (~((~v132(constB159)) | (~v139(constB159))))))),
% 17.96/13.12 inference(transitivity,[status(thm)],[38718, 38716])).
% 17.96/13.12 tff(38720,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB159) <=> (~((~v139(constB159)) | (~v132(constB159)))))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38721,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB159) <=> (~((~v132(constB159)) | (~v139(constB159)))))),
% 17.96/13.12 inference(modus_ponens,[status(thm)],[38720, 38719])).
% 17.96/13.12 tff(38722,plain,
% 17.96/13.12 (v138(constB159) <=> (~((~v132(constB159)) | (~v139(constB159))))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38721, 644])).
% 17.96/13.12 tff(38723,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB159)) <=> v140(constB159))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38724,plain,
% 17.96/13.12 ((~v139(constB159)) <=> v140(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38723, 203])).
% 17.96/13.12 tff(38725,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB159) <=> (v141(constB159) | v26(constB159)))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38726,plain,
% 17.96/13.12 (v140(constB159) <=> (v141(constB159) | v26(constB159))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38725, 212])).
% 17.96/13.12 tff(38727,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB159) <=> (~((~v39(constB159)) | (~v9(constB159)))))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38728,plain,
% 17.96/13.12 (v141(constB159) <=> (~((~v39(constB159)) | (~v9(constB159))))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38727, 130])).
% 17.96/13.12 tff(38729,plain,
% 17.96/13.12 (((~![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)))),
% 17.96/13.12 inference(rewrite,[status(thm)],[])).
% 17.96/13.12 tff(38730,plain,
% 17.96/13.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159)))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38731,plain,
% 17.96/13.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB159, constB160)) | (v13(constB160) <=> v9(constB159))),
% 17.96/13.12 inference(modus_ponens,[status(thm)],[38730, 38729])).
% 17.96/13.12 tff(38732,plain,
% 17.96/13.12 (v13(constB160) <=> v9(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38731, 14725, 226])).
% 17.96/13.12 tff(38733,plain,
% 17.96/13.12 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB160) <=> v13(constB160))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38734,plain,
% 17.96/13.12 (v6(constB160) <=> v13(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38733, 240])).
% 17.96/13.12 tff(38735,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB160)) <=> v6(constB160))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38736,plain,
% 17.96/13.12 ((~v21(constB160)) <=> v6(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38735, 249])).
% 17.96/13.12 tff(38737,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB160) <=> (v20(constB160) | v21(constB160)))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38738,plain,
% 17.96/13.12 (v19(constB160) <=> (v20(constB160) | v21(constB160))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38737, 258])).
% 17.96/13.12 tff(38739,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB160) <=> (~((~v19(constB160)) | (~v22(constB160)))))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38740,plain,
% 17.96/13.12 (v18(constB160) <=> (~((~v19(constB160)) | (~v22(constB160))))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38739, 270])).
% 17.96/13.12 tff(38741,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB160)) <=> v18(constB160))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38742,plain,
% 17.96/13.12 ((~v4(constB160)) <=> v18(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38741, 279])).
% 17.96/13.12 tff(38743,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB160)),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38744,plain,
% 17.96/13.12 (v4(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38743, 288])).
% 17.96/13.12 tff(38745,plain,
% 17.96/13.12 ((~((~v4(constB160)) <=> v18(constB160))) | (~v4(constB160)) | (~v18(constB160))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38746,plain,
% 17.96/13.12 (~v18(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38745, 38744, 38742])).
% 17.96/13.12 tff(38747,plain,
% 17.96/13.12 ((~(v18(constB160) <=> (~((~v19(constB160)) | (~v22(constB160)))))) | v18(constB160) | ((~v19(constB160)) | (~v22(constB160)))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38748,plain,
% 17.96/13.12 ((~v19(constB160)) | (~v22(constB160))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38747, 38746, 38740])).
% 17.96/13.12 tff(38749,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB160) <=> (v1(constB160) | v6(constB160)))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38750,plain,
% 17.96/13.12 (v22(constB160) <=> (v1(constB160) | v6(constB160))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38749, 301])).
% 17.96/13.12 tff(38751,plain,
% 17.96/13.12 ((v1(constB160) | v6(constB160)) | (~v1(constB160))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38752,plain,
% 17.96/13.12 (v1(constB160) | v6(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38751, 21236])).
% 17.96/13.12 tff(38753,plain,
% 17.96/13.12 ((~(v22(constB160) <=> (v1(constB160) | v6(constB160)))) | v22(constB160) | (~(v1(constB160) | v6(constB160)))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38754,plain,
% 17.96/13.12 ((~(v22(constB160) <=> (v1(constB160) | v6(constB160)))) | v22(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38753, 38752])).
% 17.96/13.12 tff(38755,plain,
% 17.96/13.12 (v22(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38754, 38750])).
% 17.96/13.12 tff(38756,plain,
% 17.96/13.12 ((~((~v19(constB160)) | (~v22(constB160)))) | (~v19(constB160)) | (~v22(constB160))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38757,plain,
% 17.96/13.12 ((~((~v19(constB160)) | (~v22(constB160)))) | (~v19(constB160))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38756, 38755])).
% 17.96/13.12 tff(38758,plain,
% 17.96/13.12 (~v19(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38757, 38748])).
% 17.96/13.12 tff(38759,plain,
% 17.96/13.12 ((~(v19(constB160) <=> (v20(constB160) | v21(constB160)))) | v19(constB160) | (~(v20(constB160) | v21(constB160)))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38760,plain,
% 17.96/13.12 (~(v20(constB160) | v21(constB160))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38759, 38758, 38738])).
% 17.96/13.12 tff(38761,plain,
% 17.96/13.12 ((v20(constB160) | v21(constB160)) | (~v21(constB160))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38762,plain,
% 17.96/13.12 (~v21(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38761, 38760])).
% 17.96/13.12 tff(38763,plain,
% 17.96/13.12 ((~((~v21(constB160)) <=> v6(constB160))) | v21(constB160) | v6(constB160)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38764,plain,
% 17.96/13.12 (v6(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38763, 38762, 38736])).
% 17.96/13.12 tff(38765,plain,
% 17.96/13.12 ((~(v6(constB160) <=> v13(constB160))) | (~v6(constB160)) | v13(constB160)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38766,plain,
% 17.96/13.12 (v13(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38765, 38764, 38734])).
% 17.96/13.12 tff(38767,plain,
% 17.96/13.12 ((~(v13(constB160) <=> v9(constB159))) | (~v13(constB160)) | v9(constB159)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38768,plain,
% 17.96/13.12 (v9(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38767, 38766, 38732])).
% 17.96/13.12 tff(38769,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB159)) <=> v1(constB159))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38770,plain,
% 17.96/13.12 ((~v39(constB159)) <=> v1(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38769, 139])).
% 17.96/13.12 tff(38771,plain,
% 17.96/13.12 ((~((~v39(constB159)) <=> v1(constB159))) | v39(constB159) | v1(constB159)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38772,plain,
% 17.96/13.12 ((~((~v39(constB159)) <=> v1(constB159))) | v39(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38771, 14769])).
% 17.96/13.12 tff(38773,plain,
% 17.96/13.12 (v39(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38772, 38770])).
% 17.96/13.12 tff(38774,plain,
% 17.96/13.12 ((~((~v39(constB159)) | (~v9(constB159)))) | (~v39(constB159)) | (~v9(constB159))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38775,plain,
% 17.96/13.12 ((~((~v39(constB159)) | (~v9(constB159)))) | (~v9(constB159))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38774, 38773])).
% 17.96/13.12 tff(38776,plain,
% 17.96/13.12 (~((~v39(constB159)) | (~v9(constB159)))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38775, 38768])).
% 17.96/13.12 tff(38777,plain,
% 17.96/13.12 ((~(v141(constB159) <=> (~((~v39(constB159)) | (~v9(constB159)))))) | v141(constB159) | ((~v39(constB159)) | (~v9(constB159)))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38778,plain,
% 17.96/13.12 (v141(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38777, 38776, 38728])).
% 17.96/13.12 tff(38779,plain,
% 17.96/13.12 ((v141(constB159) | v26(constB159)) | (~v141(constB159))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38780,plain,
% 17.96/13.12 (v141(constB159) | v26(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38779, 38778])).
% 17.96/13.12 tff(38781,plain,
% 17.96/13.12 ((~(v140(constB159) <=> (v141(constB159) | v26(constB159)))) | v140(constB159) | (~(v141(constB159) | v26(constB159)))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38782,plain,
% 17.96/13.12 (v140(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38781, 38780, 38726])).
% 17.96/13.12 tff(38783,plain,
% 17.96/13.12 ((~((~v139(constB159)) <=> v140(constB159))) | (~v139(constB159)) | (~v140(constB159))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38784,plain,
% 17.96/13.12 (~v139(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38783, 38782, 38724])).
% 17.96/13.12 tff(38785,plain,
% 17.96/13.12 (((~v132(constB159)) | (~v139(constB159))) | v139(constB159)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38786,plain,
% 17.96/13.12 ((~v132(constB159)) | (~v139(constB159))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38785, 38784])).
% 17.96/13.12 tff(38787,plain,
% 17.96/13.12 ((~(v138(constB159) <=> (~((~v132(constB159)) | (~v139(constB159)))))) | (~v138(constB159)) | (~((~v132(constB159)) | (~v139(constB159))))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38788,plain,
% 17.96/13.12 (~v138(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38787, 38786, 38722])).
% 17.96/13.12 tff(38789,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB159) <=> (~((~v143(constB159)) | (~v144(constB159)))))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38790,plain,
% 17.96/13.12 (v142(constB159) <=> (~((~v143(constB159)) | (~v144(constB159))))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38789, 596])).
% 17.96/13.12 tff(38791,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB159) <=> (~((~v141(constB159)) | (~v145(constB159)))))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38792,plain,
% 17.96/13.12 (v144(constB159) <=> (~((~v141(constB159)) | (~v145(constB159))))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38791, 608])).
% 17.96/13.12 tff(38793,plain,
% 17.96/13.12 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB159) <=> (~(v84(constB159, 1) | v84(constB159, 2) | (~v84(constB159, 0)))))),
% 17.96/13.12 inference(quant_inst,[status(thm)],[])).
% 17.96/13.12 tff(38794,plain,
% 17.96/13.12 (v145(constB159) <=> (~(v84(constB159, 1) | v84(constB159, 2) | (~v84(constB159, 0))))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38793, 755])).
% 17.96/13.12 tff(38795,plain,
% 17.96/13.12 ((v84(constB159, 1) | v84(constB159, 2) | (~v84(constB159, 0))) | v84(constB159, 0)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38796,plain,
% 17.96/13.12 (v84(constB159, 1) | v84(constB159, 2) | (~v84(constB159, 0))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38795, 21173])).
% 17.96/13.12 tff(38797,plain,
% 17.96/13.12 ((~(v145(constB159) <=> (~(v84(constB159, 1) | v84(constB159, 2) | (~v84(constB159, 0)))))) | (~v145(constB159)) | (~(v84(constB159, 1) | v84(constB159, 2) | (~v84(constB159, 0))))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38798,plain,
% 17.96/13.12 (~v145(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38797, 38796, 38794])).
% 17.96/13.12 tff(38799,plain,
% 17.96/13.12 (((~v141(constB159)) | (~v145(constB159))) | v145(constB159)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38800,plain,
% 17.96/13.12 ((~v141(constB159)) | (~v145(constB159))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38799, 38798])).
% 17.96/13.12 tff(38801,plain,
% 17.96/13.12 ((~(v144(constB159) <=> (~((~v141(constB159)) | (~v145(constB159)))))) | (~v144(constB159)) | (~((~v141(constB159)) | (~v145(constB159))))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38802,plain,
% 17.96/13.12 (~v144(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38801, 38800, 38792])).
% 17.96/13.12 tff(38803,plain,
% 17.96/13.12 (((~v143(constB159)) | (~v144(constB159))) | v144(constB159)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38804,plain,
% 17.96/13.12 ((~v143(constB159)) | (~v144(constB159))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38803, 38802])).
% 17.96/13.12 tff(38805,plain,
% 17.96/13.12 ((~(v142(constB159) <=> (~((~v143(constB159)) | (~v144(constB159)))))) | (~v142(constB159)) | (~((~v143(constB159)) | (~v144(constB159))))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38806,plain,
% 17.96/13.12 (~v142(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38805, 38804, 38790])).
% 17.96/13.12 tff(38807,plain,
% 17.96/13.12 ((~(v138(constB159) | v142(constB159))) | v138(constB159) | v142(constB159)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38808,plain,
% 17.96/13.12 (~(v138(constB159) | v142(constB159))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38807, 38806, 38788])).
% 17.96/13.12 tff(38809,plain,
% 17.96/13.12 ((~(v135(constB159) <=> (v138(constB159) | v142(constB159)))) | (~v135(constB159)) | (v138(constB159) | v142(constB159))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38810,plain,
% 17.96/13.12 (~v135(constB159)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38809, 38808, 38715])).
% 17.96/13.12 tff(38811,plain,
% 17.96/13.12 ((~(v137(constB160) <=> v135(constB159))) | (~v137(constB160)) | v135(constB159)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38812,plain,
% 17.96/13.12 (~v137(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38811, 38810, 38713])).
% 17.96/13.12 tff(38813,plain,
% 17.96/13.12 ((~(v132(constB160) <=> v137(constB160))) | (~v132(constB160)) | v137(constB160)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38814,plain,
% 17.96/13.12 (~v132(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38813, 38812, 38709])).
% 17.96/13.12 tff(38815,plain,
% 17.96/13.12 (((~v132(constB160)) | (~v139(constB160))) | v132(constB160)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38816,plain,
% 17.96/13.12 ((~v132(constB160)) | (~v139(constB160))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38815, 38814])).
% 17.96/13.12 tff(38817,plain,
% 17.96/13.12 ((~(v138(constB160) <=> (~((~v132(constB160)) | (~v139(constB160)))))) | (~v138(constB160)) | (~((~v132(constB160)) | (~v139(constB160))))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38818,plain,
% 17.96/13.12 (~v138(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38817, 38816, 38707])).
% 17.96/13.12 tff(38819,plain,
% 17.96/13.12 ((~(v138(constB160) | v142(constB160))) | v138(constB160) | v142(constB160)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38820,plain,
% 17.96/13.12 (~(v138(constB160) | v142(constB160))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38819, 38818, 38700])).
% 17.96/13.12 tff(38821,plain,
% 17.96/13.12 ((~(v135(constB160) <=> (v138(constB160) | v142(constB160)))) | (~v135(constB160)) | (v138(constB160) | v142(constB160))),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38822,plain,
% 17.96/13.12 (~v135(constB160)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38821, 38820, 38675])).
% 17.96/13.12 tff(38823,plain,
% 17.96/13.12 ((~(v137(constB161) <=> v135(constB160))) | (~v137(constB161)) | v135(constB160)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38824,plain,
% 17.96/13.12 (~v137(constB161)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38823, 38822, 38673])).
% 17.96/13.12 tff(38825,plain,
% 17.96/13.12 ((~(v132(constB161) <=> v137(constB161))) | (~v132(constB161)) | v137(constB161)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38826,plain,
% 17.96/13.12 (~v132(constB161)),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38825, 38824, 38669])).
% 17.96/13.12 tff(38827,plain,
% 17.96/13.12 (((~v132(constB161)) | (~v155(constB161))) | v132(constB161)),
% 17.96/13.12 inference(tautology,[status(thm)],[])).
% 17.96/13.12 tff(38828,plain,
% 17.96/13.12 ((~v132(constB161)) | (~v155(constB161))),
% 17.96/13.12 inference(unit_resolution,[status(thm)],[38827, 38826])).
% 17.96/13.12 tff(38829,plain,
% 17.96/13.12 ((~(v154(constB161) <=> (~((~v132(constB161)) | (~v155(constB161)))))) | (~v154(constB161)) | (~((~v132(constB161)) | (~v155(constB161))))),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38830,plain,
% 17.96/13.13 (~v154(constB161)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38829, 38828, 38667])).
% 17.96/13.13 tff(38831,plain,
% 17.96/13.13 ((~(v153(constB161) | v154(constB161))) | v153(constB161) | v154(constB161)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38832,plain,
% 17.96/13.13 (~(v153(constB161) | v154(constB161))),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38831, 38830, 38660])).
% 17.96/13.13 tff(38833,plain,
% 17.96/13.13 ((~(v150(constB161) <=> (v153(constB161) | v154(constB161)))) | (~v150(constB161)) | (v153(constB161) | v154(constB161))),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38834,plain,
% 17.96/13.13 (~v150(constB161)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38833, 38832, 38649])).
% 17.96/13.13 tff(38835,plain,
% 17.96/13.13 ((~(v152(constB162) <=> v150(constB161))) | (~v152(constB162)) | v150(constB161)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38836,plain,
% 17.96/13.13 (~v152(constB162)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38835, 38834, 38647])).
% 17.96/13.13 tff(38837,plain,
% 17.96/13.13 ((~(v130(constB162) <=> v152(constB162))) | (~v130(constB162)) | v152(constB162)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38838,plain,
% 17.96/13.13 (~v130(constB162)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38837, 38836, 38643])).
% 17.96/13.13 tff(38839,plain,
% 17.96/13.13 (((~v130(constB162)) | (~v139(constB162))) | v130(constB162)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38840,plain,
% 17.96/13.13 ((~v130(constB162)) | (~v139(constB162))),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38839, 38838])).
% 17.96/13.13 tff(38841,plain,
% 17.96/13.13 ((~(v153(constB162) <=> (~((~v130(constB162)) | (~v139(constB162)))))) | (~v153(constB162)) | (~((~v130(constB162)) | (~v139(constB162))))),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38842,plain,
% 17.96/13.13 (~v153(constB162)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38841, 38840, 38641])).
% 17.96/13.13 tff(38843,plain,
% 17.96/13.13 ((~(v153(constB162) | v154(constB162))) | v153(constB162) | v154(constB162)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38844,plain,
% 17.96/13.13 (~(v153(constB162) | v154(constB162))),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38843, 38842, 38634])).
% 17.96/13.13 tff(38845,plain,
% 17.96/13.13 ((~(v150(constB162) <=> (v153(constB162) | v154(constB162)))) | (~v150(constB162)) | (v153(constB162) | v154(constB162))),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38846,plain,
% 17.96/13.13 (~v150(constB162)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38845, 38844, 38611])).
% 17.96/13.13 tff(38847,plain,
% 17.96/13.13 ((~(v152(constB163) <=> v150(constB162))) | (~v152(constB163)) | v150(constB162)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38848,plain,
% 17.96/13.13 (~v152(constB163)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38847, 38846, 38609])).
% 17.96/13.13 tff(38849,plain,
% 17.96/13.13 ((~(v130(constB163) <=> v152(constB163))) | (~v130(constB163)) | v152(constB163)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38850,plain,
% 17.96/13.13 (~v130(constB163)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38849, 38848, 38605])).
% 17.96/13.13 tff(38851,plain,
% 17.96/13.13 (((~v130(constB163)) | (~v155(constB163))) | v130(constB163)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38852,plain,
% 17.96/13.13 ((~v130(constB163)) | (~v155(constB163))),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38851, 38850])).
% 17.96/13.13 tff(38853,plain,
% 17.96/13.13 ((~(v164(constB163) <=> (~((~v130(constB163)) | (~v155(constB163)))))) | (~v164(constB163)) | (~((~v130(constB163)) | (~v155(constB163))))),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38854,plain,
% 17.96/13.13 (~v164(constB163)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38853, 38852, 38603])).
% 17.96/13.13 tff(38855,plain,
% 17.96/13.13 ((~(v163(constB163) | v164(constB163))) | v163(constB163) | v164(constB163)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38856,plain,
% 17.96/13.13 (~(v163(constB163) | v164(constB163))),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38855, 38854, 38596])).
% 17.96/13.13 tff(38857,plain,
% 17.96/13.13 ((~(v160(constB163) <=> (v163(constB163) | v164(constB163)))) | (~v160(constB163)) | (v163(constB163) | v164(constB163))),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38858,plain,
% 17.96/13.13 (~v160(constB163)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38857, 38856, 38585])).
% 17.96/13.13 tff(38859,plain,
% 17.96/13.13 ((~(v162(constB164) <=> v160(constB163))) | (~v162(constB164)) | v160(constB163)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38860,plain,
% 17.96/13.13 (~v162(constB164)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38859, 38858, 38583])).
% 17.96/13.13 tff(38861,plain,
% 17.96/13.13 ((~(v128(constB164) <=> v162(constB164))) | (~v128(constB164)) | v162(constB164)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38862,plain,
% 17.96/13.13 (~v128(constB164)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38861, 38860, 38579])).
% 17.96/13.13 tff(38863,plain,
% 17.96/13.13 (((~v128(constB164)) | (~v139(constB164))) | v128(constB164)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38864,plain,
% 17.96/13.13 ((~v128(constB164)) | (~v139(constB164))),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38863, 38862])).
% 17.96/13.13 tff(38865,plain,
% 17.96/13.13 ((~(v163(constB164) <=> (~((~v128(constB164)) | (~v139(constB164)))))) | (~v163(constB164)) | (~((~v128(constB164)) | (~v139(constB164))))),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38866,plain,
% 17.96/13.13 (~v163(constB164)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38865, 38864, 38577])).
% 17.96/13.13 tff(38867,plain,
% 17.96/13.13 ((~(v163(constB164) | v164(constB164))) | v163(constB164) | v164(constB164)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38868,plain,
% 17.96/13.13 (~(v163(constB164) | v164(constB164))),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38867, 38866, 38570])).
% 17.96/13.13 tff(38869,plain,
% 17.96/13.13 ((~(v160(constB164) <=> (v163(constB164) | v164(constB164)))) | (~v160(constB164)) | (v163(constB164) | v164(constB164))),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38870,plain,
% 17.96/13.13 (~v160(constB164)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38869, 38868, 38559])).
% 17.96/13.13 tff(38871,plain,
% 17.96/13.13 ((~(v162(constB165) <=> v160(constB164))) | (~v162(constB165)) | v160(constB164)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38872,plain,
% 17.96/13.13 (~v162(constB165)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38871, 38870, 38557])).
% 17.96/13.13 tff(38873,plain,
% 17.96/13.13 ($false),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38872, 38553])).
% 17.96/13.13 tff(38874,plain,(~(constB165 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.96/13.13 tff(38875,assumption,(constB183 = VarCurr!0), introduced(assumption)).
% 17.96/13.13 tff(38876,plain,
% 17.96/13.13 (v121(constB183, 2) <=> v121(VarCurr!0, 2)),
% 17.96/13.13 inference(monotonicity,[status(thm)],[38875])).
% 17.96/13.13 tff(38877,plain,
% 17.96/13.13 (v121(VarCurr!0, 2) <=> v121(constB183, 2)),
% 17.96/13.13 inference(symmetry,[status(thm)],[38876])).
% 17.96/13.13 tff(38878,plain,
% 17.96/13.13 ((~v121(VarCurr!0, 2)) <=> (~v121(constB183, 2))),
% 17.96/13.13 inference(monotonicity,[status(thm)],[38877])).
% 17.96/13.13 tff(38879,plain,
% 17.96/13.13 (~v121(constB183, 2)),
% 17.96/13.13 inference(modus_ponens,[status(thm)],[37502, 38878])).
% 17.96/13.13 tff(38880,plain,
% 17.96/13.13 ($false),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[32698, 38879])).
% 17.96/13.13 tff(38881,plain,((~(constB183 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.96/13.13 tff(38882,plain,
% 17.96/13.13 (~(constB183 = VarCurr!0)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38881, 37502])).
% 17.96/13.13 tff(38883,assumption,(constB161 = VarCurr!0), introduced(assumption)).
% 17.96/13.13 tff(38884,plain,
% 17.96/13.13 (v121(constB161, 2) <=> v121(VarCurr!0, 2)),
% 17.96/13.13 inference(monotonicity,[status(thm)],[38883])).
% 17.96/13.13 tff(38885,plain,
% 17.96/13.13 (v121(VarCurr!0, 2) <=> v121(constB161, 2)),
% 17.96/13.13 inference(symmetry,[status(thm)],[38884])).
% 17.96/13.13 tff(38886,plain,
% 17.96/13.13 ((~v121(VarCurr!0, 2)) <=> (~v121(constB161, 2))),
% 17.96/13.13 inference(monotonicity,[status(thm)],[38885])).
% 17.96/13.13 tff(38887,plain,
% 17.96/13.13 (~v121(constB161, 2)),
% 17.96/13.13 inference(modus_ponens,[status(thm)],[37502, 38886])).
% 17.96/13.13 tff(38888,plain,
% 17.96/13.13 ($false),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[23035, 38887])).
% 17.96/13.13 tff(38889,plain,((~(constB161 = VarCurr!0)) | v121(VarCurr!0, 2)), inference(lemma,lemma(discharge,[]))).
% 17.96/13.13 tff(38890,plain,
% 17.96/13.13 (~(constB161 = VarCurr!0)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38889, 37502])).
% 17.96/13.13 tff(38891,assumption,(constB105 = VarCurr!0), introduced(assumption)).
% 17.96/13.13 tff(38892,plain,
% 17.96/13.13 (v162(constB105) <=> v162(VarCurr!0)),
% 17.96/13.13 inference(monotonicity,[status(thm)],[38891])).
% 17.96/13.13 tff(38893,plain,
% 17.96/13.13 (v162(VarCurr!0) <=> v162(constB105)),
% 17.96/13.13 inference(symmetry,[status(thm)],[38892])).
% 17.96/13.13 tff(38894,plain,
% 17.96/13.13 (v162(constB105)),
% 17.96/13.13 inference(modus_ponens,[status(thm)],[59, 38893])).
% 17.96/13.13 tff(38895,plain,
% 17.96/13.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB104, constB105)) | (v162(constB105) <=> v160(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB104, constB105)) | (v162(constB105) <=> v160(constB104)))),
% 17.96/13.13 inference(rewrite,[status(thm)],[])).
% 17.96/13.13 tff(38896,plain,
% 17.96/13.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB104, constB105)) | (v162(constB105) <=> v160(constB104)))),
% 17.96/13.13 inference(quant_inst,[status(thm)],[])).
% 17.96/13.13 tff(38897,plain,
% 17.96/13.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB104, constB105)) | (v162(constB105) <=> v160(constB104))),
% 17.96/13.13 inference(modus_ponens,[status(thm)],[38896, 38895])).
% 17.96/13.13 tff(38898,plain,
% 17.96/13.13 (v162(constB105) <=> v160(constB104)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38897, 6037, 70])).
% 17.96/13.13 tff(38899,plain,
% 17.96/13.13 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB104) <=> (v163(constB104) | v164(constB104)))),
% 17.96/13.13 inference(quant_inst,[status(thm)],[])).
% 17.96/13.13 tff(38900,plain,
% 17.96/13.13 (v160(constB104) <=> (v163(constB104) | v164(constB104))),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38899, 84])).
% 17.96/13.13 tff(38901,plain,
% 17.96/13.13 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB104) <=> (~((~v130(constB104)) | (~v155(constB104)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB104) <=> (~((~v130(constB104)) | (~v155(constB104))))))),
% 17.96/13.13 inference(rewrite,[status(thm)],[])).
% 17.96/13.13 tff(38902,plain,
% 17.96/13.13 ((v164(constB104) <=> (~((~v155(constB104)) | (~v130(constB104))))) <=> (v164(constB104) <=> (~((~v130(constB104)) | (~v155(constB104)))))),
% 17.96/13.13 inference(rewrite,[status(thm)],[])).
% 17.96/13.13 tff(38903,plain,
% 17.96/13.13 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB104) <=> (~((~v155(constB104)) | (~v130(constB104)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB104) <=> (~((~v130(constB104)) | (~v155(constB104))))))),
% 17.96/13.13 inference(monotonicity,[status(thm)],[38902])).
% 17.96/13.13 tff(38904,plain,
% 17.96/13.13 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB104) <=> (~((~v155(constB104)) | (~v130(constB104)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB104) <=> (~((~v130(constB104)) | (~v155(constB104))))))),
% 17.96/13.13 inference(transitivity,[status(thm)],[38903, 38901])).
% 17.96/13.13 tff(38905,plain,
% 17.96/13.13 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB104) <=> (~((~v155(constB104)) | (~v130(constB104)))))),
% 17.96/13.13 inference(quant_inst,[status(thm)],[])).
% 17.96/13.13 tff(38906,plain,
% 17.96/13.13 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB104) <=> (~((~v130(constB104)) | (~v155(constB104)))))),
% 17.96/13.13 inference(modus_ponens,[status(thm)],[38905, 38904])).
% 17.96/13.13 tff(38907,plain,
% 17.96/13.13 (v164(constB104) <=> (~((~v130(constB104)) | (~v155(constB104))))),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38906, 96])).
% 17.96/13.13 tff(38908,plain,
% 17.96/13.13 (((~v130(constB104)) | (~v155(constB104))) | v155(constB104)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38909,plain,
% 17.96/13.13 ((~v130(constB104)) | (~v155(constB104))),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38908, 6077])).
% 17.96/13.13 tff(38910,plain,
% 17.96/13.13 ((~(v164(constB104) <=> (~((~v130(constB104)) | (~v155(constB104)))))) | (~v164(constB104)) | (~((~v130(constB104)) | (~v155(constB104))))),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38911,plain,
% 17.96/13.13 (~v164(constB104)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38910, 38909, 38907])).
% 17.96/13.13 tff(38912,plain,
% 17.96/13.13 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB104) <=> (~((~v128(constB104)) | (~v139(constB104)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB104) <=> (~((~v128(constB104)) | (~v139(constB104))))))),
% 17.96/13.13 inference(rewrite,[status(thm)],[])).
% 17.96/13.13 tff(38913,plain,
% 17.96/13.13 ((v163(constB104) <=> (~((~v139(constB104)) | (~v128(constB104))))) <=> (v163(constB104) <=> (~((~v128(constB104)) | (~v139(constB104)))))),
% 17.96/13.13 inference(rewrite,[status(thm)],[])).
% 17.96/13.13 tff(38914,plain,
% 17.96/13.13 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB104) <=> (~((~v139(constB104)) | (~v128(constB104)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB104) <=> (~((~v128(constB104)) | (~v139(constB104))))))),
% 17.96/13.13 inference(monotonicity,[status(thm)],[38913])).
% 17.96/13.13 tff(38915,plain,
% 17.96/13.13 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB104) <=> (~((~v139(constB104)) | (~v128(constB104)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB104) <=> (~((~v128(constB104)) | (~v139(constB104))))))),
% 17.96/13.13 inference(transitivity,[status(thm)],[38914, 38912])).
% 17.96/13.13 tff(38916,plain,
% 17.96/13.13 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB104) <=> (~((~v139(constB104)) | (~v128(constB104)))))),
% 17.96/13.13 inference(quant_inst,[status(thm)],[])).
% 17.96/13.13 tff(38917,plain,
% 17.96/13.13 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB104) <=> (~((~v128(constB104)) | (~v139(constB104)))))),
% 17.96/13.13 inference(modus_ponens,[status(thm)],[38916, 38915])).
% 17.96/13.13 tff(38918,plain,
% 17.96/13.13 (v163(constB104) <=> (~((~v128(constB104)) | (~v139(constB104))))),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38917, 171])).
% 17.96/13.13 tff(38919,plain,
% 17.96/13.13 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB104) <=> v162(constB104))),
% 17.96/13.13 inference(quant_inst,[status(thm)],[])).
% 17.96/13.13 tff(38920,plain,
% 17.96/13.13 (v128(constB104) <=> v162(constB104)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38919, 13])).
% 17.96/13.13 tff(38921,plain,
% 17.96/13.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB103, constB104)) | (v162(constB104) <=> v160(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB103, constB104)) | (v162(constB104) <=> v160(constB103)))),
% 17.96/13.13 inference(rewrite,[status(thm)],[])).
% 17.96/13.13 tff(38922,plain,
% 17.96/13.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB103, constB104)) | (v162(constB104) <=> v160(constB103)))),
% 17.96/13.13 inference(quant_inst,[status(thm)],[])).
% 17.96/13.13 tff(38923,plain,
% 17.96/13.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB103, constB104)) | (v162(constB104) <=> v160(constB103))),
% 17.96/13.13 inference(modus_ponens,[status(thm)],[38922, 38921])).
% 17.96/13.13 tff(38924,plain,
% 17.96/13.13 (v162(constB104) <=> v160(constB103)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38923, 6093, 70])).
% 17.96/13.13 tff(38925,plain,
% 17.96/13.13 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB103) <=> (v163(constB103) | v164(constB103)))),
% 17.96/13.13 inference(quant_inst,[status(thm)],[])).
% 17.96/13.13 tff(38926,plain,
% 17.96/13.13 (v160(constB103) <=> (v163(constB103) | v164(constB103))),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38925, 84])).
% 17.96/13.13 tff(38927,plain,
% 17.96/13.13 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB103) <=> (~((~v128(constB103)) | (~v139(constB103)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB103) <=> (~((~v128(constB103)) | (~v139(constB103))))))),
% 17.96/13.13 inference(rewrite,[status(thm)],[])).
% 17.96/13.13 tff(38928,plain,
% 17.96/13.13 ((v163(constB103) <=> (~((~v139(constB103)) | (~v128(constB103))))) <=> (v163(constB103) <=> (~((~v128(constB103)) | (~v139(constB103)))))),
% 17.96/13.13 inference(rewrite,[status(thm)],[])).
% 17.96/13.13 tff(38929,plain,
% 17.96/13.13 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB103) <=> (~((~v139(constB103)) | (~v128(constB103)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB103) <=> (~((~v128(constB103)) | (~v139(constB103))))))),
% 17.96/13.13 inference(monotonicity,[status(thm)],[38928])).
% 17.96/13.13 tff(38930,plain,
% 17.96/13.13 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB103) <=> (~((~v139(constB103)) | (~v128(constB103)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB103) <=> (~((~v128(constB103)) | (~v139(constB103))))))),
% 17.96/13.13 inference(transitivity,[status(thm)],[38929, 38927])).
% 17.96/13.13 tff(38931,plain,
% 17.96/13.13 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB103) <=> (~((~v139(constB103)) | (~v128(constB103)))))),
% 17.96/13.13 inference(quant_inst,[status(thm)],[])).
% 17.96/13.13 tff(38932,plain,
% 17.96/13.13 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB103) <=> (~((~v128(constB103)) | (~v139(constB103)))))),
% 17.96/13.13 inference(modus_ponens,[status(thm)],[38931, 38930])).
% 17.96/13.13 tff(38933,plain,
% 17.96/13.13 (v163(constB103) <=> (~((~v128(constB103)) | (~v139(constB103))))),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38932, 171])).
% 17.96/13.13 tff(38934,plain,
% 17.96/13.13 (((~v128(constB103)) | (~v139(constB103))) | v139(constB103)),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38935,plain,
% 17.96/13.13 ((~v128(constB103)) | (~v139(constB103))),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38934, 6171])).
% 17.96/13.13 tff(38936,plain,
% 17.96/13.13 ((~(v163(constB103) <=> (~((~v128(constB103)) | (~v139(constB103)))))) | (~v163(constB103)) | (~((~v128(constB103)) | (~v139(constB103))))),
% 17.96/13.13 inference(tautology,[status(thm)],[])).
% 17.96/13.13 tff(38937,plain,
% 17.96/13.13 (~v163(constB103)),
% 17.96/13.13 inference(unit_resolution,[status(thm)],[38936, 38935, 38933])).
% 17.96/13.13 tff(38938,plain,
% 17.96/13.13 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB103) <=> (~((~v130(constB103)) | (~v155(constB103)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB103) <=> (~((~v130(constB103)) | (~v155(constB103))))))),
% 17.96/13.13 inference(rewrite,[status(thm)],[])).
% 17.96/13.13 tff(38939,plain,
% 17.96/13.13 ((v164(constB103) <=> (~((~v155(constB103)) | (~v130(constB103))))) <=> (v164(constB103) <=> (~((~v130(constB103)) | (~v155(constB103)))))),
% 17.96/13.13 inference(rewrite,[status(thm)],[])).
% 17.96/13.13 tff(38940,plain,
% 17.96/13.13 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB103) <=> (~((~v155(constB103)) | (~v130(constB103)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB103) <=> (~((~v130(constB103)) | (~v155(constB103))))))),
% 17.96/13.13 inference(monotonicity,[status(thm)],[38939])).
% 17.96/13.13 tff(38941,plain,
% 17.96/13.13 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB103) <=> (~((~v155(constB103)) | (~v130(constB103)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB103) <=> (~((~v130(constB103)) | (~v155(constB103))))))),
% 17.96/13.13 inference(transitivity,[status(thm)],[38940, 38938])).
% 17.96/13.13 tff(38942,plain,
% 17.96/13.13 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB103) <=> (~((~v155(constB103)) | (~v130(constB103)))))),
% 17.96/13.13 inference(quant_inst,[status(thm)],[])).
% 17.96/13.13 tff(38943,plain,
% 17.96/13.13 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB103) <=> (~((~v130(constB103)) | (~v155(constB103)))))),
% 17.96/13.14 inference(modus_ponens,[status(thm)],[38942, 38941])).
% 17.96/13.14 tff(38944,plain,
% 17.96/13.14 (v164(constB103) <=> (~((~v130(constB103)) | (~v155(constB103))))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38943, 96])).
% 17.96/13.14 tff(38945,plain,
% 17.96/13.14 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB103) <=> v152(constB103))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(38946,plain,
% 17.96/13.14 (v130(constB103) <=> v152(constB103)),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38945, 361])).
% 17.96/13.14 tff(38947,plain,
% 17.96/13.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB102, constB103)) | (v152(constB103) <=> v150(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB102, constB103)) | (v152(constB103) <=> v150(constB102)))),
% 17.96/13.14 inference(rewrite,[status(thm)],[])).
% 17.96/13.14 tff(38948,plain,
% 17.96/13.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB102, constB103)) | (v152(constB103) <=> v150(constB102)))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(38949,plain,
% 17.96/13.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB102, constB103)) | (v152(constB103) <=> v150(constB102))),
% 17.96/13.14 inference(modus_ponens,[status(thm)],[38948, 38947])).
% 17.96/13.14 tff(38950,plain,
% 17.96/13.14 (v152(constB103) <=> v150(constB102)),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38949, 6187, 373])).
% 17.96/13.14 tff(38951,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB102) <=> (v153(constB102) | v154(constB102)))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(38952,plain,
% 17.96/13.14 (v150(constB102) <=> (v153(constB102) | v154(constB102))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38951, 387])).
% 17.96/13.14 tff(38953,plain,
% 17.96/13.14 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB102) <=> (~((~v132(constB102)) | (~v155(constB102)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB102) <=> (~((~v132(constB102)) | (~v155(constB102))))))),
% 17.96/13.14 inference(rewrite,[status(thm)],[])).
% 17.96/13.14 tff(38954,plain,
% 17.96/13.14 ((v154(constB102) <=> (~((~v155(constB102)) | (~v132(constB102))))) <=> (v154(constB102) <=> (~((~v132(constB102)) | (~v155(constB102)))))),
% 17.96/13.14 inference(rewrite,[status(thm)],[])).
% 17.96/13.14 tff(38955,plain,
% 17.96/13.14 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB102) <=> (~((~v155(constB102)) | (~v132(constB102)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB102) <=> (~((~v132(constB102)) | (~v155(constB102))))))),
% 17.96/13.14 inference(monotonicity,[status(thm)],[38954])).
% 17.96/13.14 tff(38956,plain,
% 17.96/13.14 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB102) <=> (~((~v155(constB102)) | (~v132(constB102)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB102) <=> (~((~v132(constB102)) | (~v155(constB102))))))),
% 17.96/13.14 inference(transitivity,[status(thm)],[38955, 38953])).
% 17.96/13.14 tff(38957,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB102) <=> (~((~v155(constB102)) | (~v132(constB102)))))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(38958,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB102) <=> (~((~v132(constB102)) | (~v155(constB102)))))),
% 17.96/13.14 inference(modus_ponens,[status(thm)],[38957, 38956])).
% 17.96/13.14 tff(38959,plain,
% 17.96/13.14 (v154(constB102) <=> (~((~v132(constB102)) | (~v155(constB102))))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38958, 399])).
% 17.96/13.14 tff(38960,plain,
% 17.96/13.14 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB102) <=> (~((~v141(constB102)) | (~v143(constB102)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB102) <=> (~((~v141(constB102)) | (~v143(constB102))))))),
% 17.96/13.14 inference(rewrite,[status(thm)],[])).
% 17.96/13.14 tff(38961,plain,
% 17.96/13.14 ((v155(constB102) <=> (~((~v143(constB102)) | (~v141(constB102))))) <=> (v155(constB102) <=> (~((~v141(constB102)) | (~v143(constB102)))))),
% 17.96/13.14 inference(rewrite,[status(thm)],[])).
% 17.96/13.14 tff(38962,plain,
% 17.96/13.14 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB102) <=> (~((~v143(constB102)) | (~v141(constB102)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB102) <=> (~((~v141(constB102)) | (~v143(constB102))))))),
% 17.96/13.14 inference(monotonicity,[status(thm)],[38961])).
% 17.96/13.14 tff(38963,plain,
% 17.96/13.14 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB102) <=> (~((~v143(constB102)) | (~v141(constB102)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB102) <=> (~((~v141(constB102)) | (~v143(constB102))))))),
% 17.96/13.14 inference(transitivity,[status(thm)],[38962, 38960])).
% 17.96/13.14 tff(38964,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB102) <=> (~((~v143(constB102)) | (~v141(constB102)))))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(38965,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB102) <=> (~((~v141(constB102)) | (~v143(constB102)))))),
% 17.96/13.14 inference(modus_ponens,[status(thm)],[38964, 38963])).
% 17.96/13.14 tff(38966,plain,
% 17.96/13.14 (v155(constB102) <=> (~((~v141(constB102)) | (~v143(constB102))))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38965, 113])).
% 17.96/13.14 tff(38967,plain,
% 17.96/13.14 (((~v141(constB102)) | (~v143(constB102))) | v141(constB102)),
% 17.96/13.14 inference(tautology,[status(thm)],[])).
% 17.96/13.14 tff(38968,plain,
% 17.96/13.14 ((~v141(constB102)) | (~v143(constB102))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38967, 6212])).
% 17.96/13.14 tff(38969,plain,
% 17.96/13.14 ((~(v155(constB102) <=> (~((~v141(constB102)) | (~v143(constB102)))))) | (~v155(constB102)) | (~((~v141(constB102)) | (~v143(constB102))))),
% 17.96/13.14 inference(tautology,[status(thm)],[])).
% 17.96/13.14 tff(38970,plain,
% 17.96/13.14 ((~(v155(constB102) <=> (~((~v141(constB102)) | (~v143(constB102)))))) | (~v155(constB102))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38969, 38968])).
% 17.96/13.14 tff(38971,plain,
% 17.96/13.14 (~v155(constB102)),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38970, 38966])).
% 17.96/13.14 tff(38972,plain,
% 17.96/13.14 (((~v132(constB102)) | (~v155(constB102))) | v155(constB102)),
% 17.96/13.14 inference(tautology,[status(thm)],[])).
% 17.96/13.14 tff(38973,plain,
% 17.96/13.14 ((~v132(constB102)) | (~v155(constB102))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38972, 38971])).
% 17.96/13.14 tff(38974,plain,
% 17.96/13.14 ((~(v154(constB102) <=> (~((~v132(constB102)) | (~v155(constB102)))))) | (~v154(constB102)) | (~((~v132(constB102)) | (~v155(constB102))))),
% 17.96/13.14 inference(tautology,[status(thm)],[])).
% 17.96/13.14 tff(38975,plain,
% 17.96/13.14 (~v154(constB102)),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38974, 38973, 38959])).
% 17.96/13.14 tff(38976,plain,
% 17.96/13.14 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB102) <=> (~((~v130(constB102)) | (~v139(constB102)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB102) <=> (~((~v130(constB102)) | (~v139(constB102))))))),
% 17.96/13.14 inference(rewrite,[status(thm)],[])).
% 17.96/13.14 tff(38977,plain,
% 17.96/13.14 ((v153(constB102) <=> (~((~v139(constB102)) | (~v130(constB102))))) <=> (v153(constB102) <=> (~((~v130(constB102)) | (~v139(constB102)))))),
% 17.96/13.14 inference(rewrite,[status(thm)],[])).
% 17.96/13.14 tff(38978,plain,
% 17.96/13.14 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB102) <=> (~((~v139(constB102)) | (~v130(constB102)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB102) <=> (~((~v130(constB102)) | (~v139(constB102))))))),
% 17.96/13.14 inference(monotonicity,[status(thm)],[38977])).
% 17.96/13.14 tff(38979,plain,
% 17.96/13.14 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB102) <=> (~((~v139(constB102)) | (~v130(constB102)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB102) <=> (~((~v130(constB102)) | (~v139(constB102))))))),
% 17.96/13.14 inference(transitivity,[status(thm)],[38978, 38976])).
% 17.96/13.14 tff(38980,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB102) <=> (~((~v139(constB102)) | (~v130(constB102)))))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(38981,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB102) <=> (~((~v130(constB102)) | (~v139(constB102)))))),
% 17.96/13.14 inference(modus_ponens,[status(thm)],[38980, 38979])).
% 17.96/13.14 tff(38982,plain,
% 17.96/13.14 (v153(constB102) <=> (~((~v130(constB102)) | (~v139(constB102))))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38981, 447])).
% 17.96/13.14 tff(38983,plain,
% 17.96/13.14 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB102) <=> v152(constB102))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(38984,plain,
% 17.96/13.14 (v130(constB102) <=> v152(constB102)),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38983, 361])).
% 17.96/13.14 tff(38985,plain,
% 17.96/13.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB101, constB102)) | (v152(constB102) <=> v150(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB101, constB102)) | (v152(constB102) <=> v150(constB101)))),
% 17.96/13.14 inference(rewrite,[status(thm)],[])).
% 17.96/13.14 tff(38986,plain,
% 17.96/13.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB101, constB102)) | (v152(constB102) <=> v150(constB101)))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(38987,plain,
% 17.96/13.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB101, constB102)) | (v152(constB102) <=> v150(constB101))),
% 17.96/13.14 inference(modus_ponens,[status(thm)],[38986, 38985])).
% 17.96/13.14 tff(38988,plain,
% 17.96/13.14 (v152(constB102) <=> v150(constB101)),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38987, 6233, 373])).
% 17.96/13.14 tff(38989,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB101) <=> (v153(constB101) | v154(constB101)))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(38990,plain,
% 17.96/13.14 (v150(constB101) <=> (v153(constB101) | v154(constB101))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38989, 387])).
% 17.96/13.14 tff(38991,plain,
% 17.96/13.14 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB101) <=> (~((~v130(constB101)) | (~v139(constB101)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB101) <=> (~((~v130(constB101)) | (~v139(constB101))))))),
% 17.96/13.14 inference(rewrite,[status(thm)],[])).
% 17.96/13.14 tff(38992,plain,
% 17.96/13.14 ((v153(constB101) <=> (~((~v139(constB101)) | (~v130(constB101))))) <=> (v153(constB101) <=> (~((~v130(constB101)) | (~v139(constB101)))))),
% 17.96/13.14 inference(rewrite,[status(thm)],[])).
% 17.96/13.14 tff(38993,plain,
% 17.96/13.14 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB101) <=> (~((~v139(constB101)) | (~v130(constB101)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB101) <=> (~((~v130(constB101)) | (~v139(constB101))))))),
% 17.96/13.14 inference(monotonicity,[status(thm)],[38992])).
% 17.96/13.14 tff(38994,plain,
% 17.96/13.14 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB101) <=> (~((~v139(constB101)) | (~v130(constB101)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB101) <=> (~((~v130(constB101)) | (~v139(constB101))))))),
% 17.96/13.14 inference(transitivity,[status(thm)],[38993, 38991])).
% 17.96/13.14 tff(38995,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB101) <=> (~((~v139(constB101)) | (~v130(constB101)))))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(38996,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB101) <=> (~((~v130(constB101)) | (~v139(constB101)))))),
% 17.96/13.14 inference(modus_ponens,[status(thm)],[38995, 38994])).
% 17.96/13.14 tff(38997,plain,
% 17.96/13.14 (v153(constB101) <=> (~((~v130(constB101)) | (~v139(constB101))))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38996, 447])).
% 17.96/13.14 tff(38998,plain,
% 17.96/13.14 (((~v130(constB101)) | (~v139(constB101))) | v139(constB101)),
% 17.96/13.14 inference(tautology,[status(thm)],[])).
% 17.96/13.14 tff(38999,plain,
% 17.96/13.14 ((~v130(constB101)) | (~v139(constB101))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[38998, 6311])).
% 17.96/13.14 tff(39000,plain,
% 17.96/13.14 ((~(v153(constB101) <=> (~((~v130(constB101)) | (~v139(constB101)))))) | (~v153(constB101)) | (~((~v130(constB101)) | (~v139(constB101))))),
% 17.96/13.14 inference(tautology,[status(thm)],[])).
% 17.96/13.14 tff(39001,plain,
% 17.96/13.14 (~v153(constB101)),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[39000, 38999, 38997])).
% 17.96/13.14 tff(39002,plain,
% 17.96/13.14 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB101) <=> (~((~v132(constB101)) | (~v155(constB101)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB101) <=> (~((~v132(constB101)) | (~v155(constB101))))))),
% 17.96/13.14 inference(rewrite,[status(thm)],[])).
% 17.96/13.14 tff(39003,plain,
% 17.96/13.14 ((v154(constB101) <=> (~((~v155(constB101)) | (~v132(constB101))))) <=> (v154(constB101) <=> (~((~v132(constB101)) | (~v155(constB101)))))),
% 17.96/13.14 inference(rewrite,[status(thm)],[])).
% 17.96/13.14 tff(39004,plain,
% 17.96/13.14 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB101) <=> (~((~v155(constB101)) | (~v132(constB101)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB101) <=> (~((~v132(constB101)) | (~v155(constB101))))))),
% 17.96/13.14 inference(monotonicity,[status(thm)],[39003])).
% 17.96/13.14 tff(39005,plain,
% 17.96/13.14 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB101) <=> (~((~v155(constB101)) | (~v132(constB101)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB101) <=> (~((~v132(constB101)) | (~v155(constB101))))))),
% 17.96/13.14 inference(transitivity,[status(thm)],[39004, 39002])).
% 17.96/13.14 tff(39006,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB101) <=> (~((~v155(constB101)) | (~v132(constB101)))))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(39007,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB101) <=> (~((~v132(constB101)) | (~v155(constB101)))))),
% 17.96/13.14 inference(modus_ponens,[status(thm)],[39006, 39005])).
% 17.96/13.14 tff(39008,plain,
% 17.96/13.14 (v154(constB101) <=> (~((~v132(constB101)) | (~v155(constB101))))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[39007, 399])).
% 17.96/13.14 tff(39009,plain,
% 17.96/13.14 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB101) <=> v137(constB101))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(39010,plain,
% 17.96/13.14 (v132(constB101) <=> v137(constB101)),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[39009, 558])).
% 17.96/13.14 tff(39011,plain,
% 17.96/13.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB100, constB101)) | (v137(constB101) <=> v135(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB100, constB101)) | (v137(constB101) <=> v135(constB100)))),
% 17.96/13.14 inference(rewrite,[status(thm)],[])).
% 17.96/13.14 tff(39012,plain,
% 17.96/13.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB100, constB101)) | (v137(constB101) <=> v135(constB100)))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(39013,plain,
% 17.96/13.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB100, constB101)) | (v137(constB101) <=> v135(constB100))),
% 17.96/13.14 inference(modus_ponens,[status(thm)],[39012, 39011])).
% 17.96/13.14 tff(39014,plain,
% 17.96/13.14 (v137(constB101) <=> v135(constB100)),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[39013, 6324, 570])).
% 17.96/13.14 tff(39015,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB100) <=> (v138(constB100) | v142(constB100)))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(39016,plain,
% 17.96/13.14 (v135(constB100) <=> (v138(constB100) | v142(constB100))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[39015, 584])).
% 17.96/13.14 tff(39017,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB100) <=> (~((~v143(constB100)) | (~v144(constB100)))))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(39018,plain,
% 17.96/13.14 (v142(constB100) <=> (~((~v143(constB100)) | (~v144(constB100))))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[39017, 596])).
% 17.96/13.14 tff(39019,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB100) <=> (~((~v141(constB100)) | (~v145(constB100)))))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(39020,plain,
% 17.96/13.14 (v144(constB100) <=> (~((~v141(constB100)) | (~v145(constB100))))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[39019, 608])).
% 17.96/13.14 tff(39021,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB100) <=> (~((~v39(constB100)) | (~v9(constB100)))))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(39022,plain,
% 17.96/13.14 (v141(constB100) <=> (~((~v39(constB100)) | (~v9(constB100))))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[39021, 130])).
% 17.96/13.14 tff(39023,plain,
% 17.96/13.14 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB100)) <=> v1(constB100))),
% 17.96/13.14 inference(quant_inst,[status(thm)],[])).
% 17.96/13.14 tff(39024,plain,
% 17.96/13.14 ((~v39(constB100)) <=> v1(constB100)),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[39023, 139])).
% 17.96/13.14 tff(39025,plain,
% 17.96/13.14 ((~((~v39(constB100)) <=> v1(constB100))) | (~v39(constB100)) | (~v1(constB100))),
% 17.96/13.14 inference(tautology,[status(thm)],[])).
% 17.96/13.14 tff(39026,plain,
% 17.96/13.14 ((~((~v39(constB100)) <=> v1(constB100))) | (~v39(constB100))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[39025, 12658])).
% 17.96/13.14 tff(39027,plain,
% 17.96/13.14 (~v39(constB100)),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[39026, 39024])).
% 17.96/13.14 tff(39028,plain,
% 17.96/13.14 (((~v39(constB100)) | (~v9(constB100))) | v39(constB100)),
% 17.96/13.14 inference(tautology,[status(thm)],[])).
% 17.96/13.14 tff(39029,plain,
% 17.96/13.14 ((~v39(constB100)) | (~v9(constB100))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[39028, 39027])).
% 17.96/13.14 tff(39030,plain,
% 17.96/13.14 ((~(v141(constB100) <=> (~((~v39(constB100)) | (~v9(constB100)))))) | (~v141(constB100)) | (~((~v39(constB100)) | (~v9(constB100))))),
% 17.96/13.14 inference(tautology,[status(thm)],[])).
% 17.96/13.14 tff(39031,plain,
% 17.96/13.14 ((~(v141(constB100) <=> (~((~v39(constB100)) | (~v9(constB100)))))) | (~v141(constB100))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[39030, 39029])).
% 17.96/13.14 tff(39032,plain,
% 17.96/13.14 (~v141(constB100)),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[39031, 39022])).
% 17.96/13.14 tff(39033,plain,
% 17.96/13.14 (((~v141(constB100)) | (~v145(constB100))) | v141(constB100)),
% 17.96/13.14 inference(tautology,[status(thm)],[])).
% 17.96/13.14 tff(39034,plain,
% 17.96/13.14 ((~v141(constB100)) | (~v145(constB100))),
% 17.96/13.14 inference(unit_resolution,[status(thm)],[39033, 39032])).
% 17.96/13.14 tff(39035,plain,
% 17.96/13.14 ((~(v144(constB100) <=> (~((~v141(constB100)) | (~v145(constB100)))))) | (~v144(constB100)) | (~((~v141(constB100)) | (~v145(constB100))))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39036,plain,
% 17.96/13.15 ((~(v144(constB100) <=> (~((~v141(constB100)) | (~v145(constB100)))))) | (~v144(constB100))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39035, 39034])).
% 17.96/13.15 tff(39037,plain,
% 17.96/13.15 (~v144(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39036, 39020])).
% 17.96/13.15 tff(39038,plain,
% 17.96/13.15 (((~v143(constB100)) | (~v144(constB100))) | v144(constB100)),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39039,plain,
% 17.96/13.15 ((~v143(constB100)) | (~v144(constB100))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39038, 39037])).
% 17.96/13.15 tff(39040,plain,
% 17.96/13.15 ((~(v142(constB100) <=> (~((~v143(constB100)) | (~v144(constB100)))))) | (~v142(constB100)) | (~((~v143(constB100)) | (~v144(constB100))))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39041,plain,
% 17.96/13.15 (~v142(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39040, 39039, 39018])).
% 17.96/13.15 tff(39042,plain,
% 17.96/13.15 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB100) <=> (~((~v132(constB100)) | (~v139(constB100)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB100) <=> (~((~v132(constB100)) | (~v139(constB100))))))),
% 17.96/13.15 inference(rewrite,[status(thm)],[])).
% 17.96/13.15 tff(39043,plain,
% 17.96/13.15 ((v138(constB100) <=> (~((~v139(constB100)) | (~v132(constB100))))) <=> (v138(constB100) <=> (~((~v132(constB100)) | (~v139(constB100)))))),
% 17.96/13.15 inference(rewrite,[status(thm)],[])).
% 17.96/13.15 tff(39044,plain,
% 17.96/13.15 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB100) <=> (~((~v139(constB100)) | (~v132(constB100)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB100) <=> (~((~v132(constB100)) | (~v139(constB100))))))),
% 17.96/13.15 inference(monotonicity,[status(thm)],[39043])).
% 17.96/13.15 tff(39045,plain,
% 17.96/13.15 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB100) <=> (~((~v139(constB100)) | (~v132(constB100)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB100) <=> (~((~v132(constB100)) | (~v139(constB100))))))),
% 17.96/13.15 inference(transitivity,[status(thm)],[39044, 39042])).
% 17.96/13.15 tff(39046,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB100) <=> (~((~v139(constB100)) | (~v132(constB100)))))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39047,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB100) <=> (~((~v132(constB100)) | (~v139(constB100)))))),
% 17.96/13.15 inference(modus_ponens,[status(thm)],[39046, 39045])).
% 17.96/13.15 tff(39048,plain,
% 17.96/13.15 (v138(constB100) <=> (~((~v132(constB100)) | (~v139(constB100))))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39047, 644])).
% 17.96/13.15 tff(39049,plain,
% 17.96/13.15 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB100) <=> v137(constB100))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39050,plain,
% 17.96/13.15 (v132(constB100) <=> v137(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39049, 558])).
% 17.96/13.15 tff(39051,plain,
% 17.96/13.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB99, constB100)) | (v137(constB100) <=> v135(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB99, constB100)) | (v137(constB100) <=> v135(constB99)))),
% 17.96/13.15 inference(rewrite,[status(thm)],[])).
% 17.96/13.15 tff(39052,plain,
% 17.96/13.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB99, constB100)) | (v137(constB100) <=> v135(constB99)))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39053,plain,
% 17.96/13.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB99, constB100)) | (v137(constB100) <=> v135(constB99))),
% 17.96/13.15 inference(modus_ponens,[status(thm)],[39052, 39051])).
% 17.96/13.15 tff(39054,plain,
% 17.96/13.15 (v137(constB100) <=> v135(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39053, 6357, 570])).
% 17.96/13.15 tff(39055,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB99) <=> (v138(constB99) | v142(constB99)))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39056,plain,
% 17.96/13.15 (v135(constB99) <=> (v138(constB99) | v142(constB99))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39055, 584])).
% 17.96/13.15 tff(39057,plain,
% 17.96/13.15 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB99) <=> (~((~v132(constB99)) | (~v139(constB99)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB99) <=> (~((~v132(constB99)) | (~v139(constB99))))))),
% 17.96/13.15 inference(rewrite,[status(thm)],[])).
% 17.96/13.15 tff(39058,plain,
% 17.96/13.15 ((v138(constB99) <=> (~((~v139(constB99)) | (~v132(constB99))))) <=> (v138(constB99) <=> (~((~v132(constB99)) | (~v139(constB99)))))),
% 17.96/13.15 inference(rewrite,[status(thm)],[])).
% 17.96/13.15 tff(39059,plain,
% 17.96/13.15 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB99) <=> (~((~v139(constB99)) | (~v132(constB99)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB99) <=> (~((~v132(constB99)) | (~v139(constB99))))))),
% 17.96/13.15 inference(monotonicity,[status(thm)],[39058])).
% 17.96/13.15 tff(39060,plain,
% 17.96/13.15 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB99) <=> (~((~v139(constB99)) | (~v132(constB99)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB99) <=> (~((~v132(constB99)) | (~v139(constB99))))))),
% 17.96/13.15 inference(transitivity,[status(thm)],[39059, 39057])).
% 17.96/13.15 tff(39061,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB99) <=> (~((~v139(constB99)) | (~v132(constB99)))))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39062,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB99) <=> (~((~v132(constB99)) | (~v139(constB99)))))),
% 17.96/13.15 inference(modus_ponens,[status(thm)],[39061, 39060])).
% 17.96/13.15 tff(39063,plain,
% 17.96/13.15 (v138(constB99) <=> (~((~v132(constB99)) | (~v139(constB99))))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39062, 644])).
% 17.96/13.15 tff(39064,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB99)) <=> v140(constB99))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39065,plain,
% 17.96/13.15 ((~v139(constB99)) <=> v140(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39064, 203])).
% 17.96/13.15 tff(39066,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB99) <=> (v141(constB99) | v26(constB99)))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39067,plain,
% 17.96/13.15 (v140(constB99) <=> (v141(constB99) | v26(constB99))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39066, 212])).
% 17.96/13.15 tff(39068,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB99) <=> (~((~v39(constB99)) | (~v9(constB99)))))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39069,plain,
% 17.96/13.15 (v141(constB99) <=> (~((~v39(constB99)) | (~v9(constB99))))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39068, 130])).
% 17.96/13.15 tff(39070,plain,
% 17.96/13.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB99, constB100)) | (v13(constB100) <=> v9(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB99, constB100)) | (v13(constB100) <=> v9(constB99)))),
% 17.96/13.15 inference(rewrite,[status(thm)],[])).
% 17.96/13.15 tff(39071,plain,
% 17.96/13.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB99, constB100)) | (v13(constB100) <=> v9(constB99)))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39072,plain,
% 17.96/13.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB99, constB100)) | (v13(constB100) <=> v9(constB99))),
% 17.96/13.15 inference(modus_ponens,[status(thm)],[39071, 39070])).
% 17.96/13.15 tff(39073,plain,
% 17.96/13.15 (v13(constB100) <=> v9(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39072, 6357, 226])).
% 17.96/13.15 tff(39074,plain,
% 17.96/13.15 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB100) <=> v13(constB100))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39075,plain,
% 17.96/13.15 (v6(constB100) <=> v13(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39074, 240])).
% 17.96/13.15 tff(39076,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB100)) <=> v6(constB100))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39077,plain,
% 17.96/13.15 ((~v21(constB100)) <=> v6(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39076, 249])).
% 17.96/13.15 tff(39078,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB100) <=> (v20(constB100) | v21(constB100)))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39079,plain,
% 17.96/13.15 (v19(constB100) <=> (v20(constB100) | v21(constB100))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39078, 258])).
% 17.96/13.15 tff(39080,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB100) <=> (~((~v19(constB100)) | (~v22(constB100)))))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39081,plain,
% 17.96/13.15 (v18(constB100) <=> (~((~v19(constB100)) | (~v22(constB100))))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39080, 270])).
% 17.96/13.15 tff(39082,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB100)) <=> v18(constB100))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39083,plain,
% 17.96/13.15 ((~v4(constB100)) <=> v18(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39082, 279])).
% 17.96/13.15 tff(39084,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB100)),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39085,plain,
% 17.96/13.15 (v4(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39084, 288])).
% 17.96/13.15 tff(39086,plain,
% 17.96/13.15 ((~((~v4(constB100)) <=> v18(constB100))) | (~v4(constB100)) | (~v18(constB100))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39087,plain,
% 17.96/13.15 (~v18(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39086, 39085, 39083])).
% 17.96/13.15 tff(39088,plain,
% 17.96/13.15 ((~(v18(constB100) <=> (~((~v19(constB100)) | (~v22(constB100)))))) | v18(constB100) | ((~v19(constB100)) | (~v22(constB100)))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39089,plain,
% 17.96/13.15 ((~v19(constB100)) | (~v22(constB100))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39088, 39087, 39081])).
% 17.96/13.15 tff(39090,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB100) <=> (v1(constB100) | v6(constB100)))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39091,plain,
% 17.96/13.15 (v22(constB100) <=> (v1(constB100) | v6(constB100))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39090, 301])).
% 17.96/13.15 tff(39092,plain,
% 17.96/13.15 ((v1(constB100) | v6(constB100)) | (~v1(constB100))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39093,plain,
% 17.96/13.15 (v1(constB100) | v6(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39092, 12658])).
% 17.96/13.15 tff(39094,plain,
% 17.96/13.15 ((~(v22(constB100) <=> (v1(constB100) | v6(constB100)))) | v22(constB100) | (~(v1(constB100) | v6(constB100)))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39095,plain,
% 17.96/13.15 ((~(v22(constB100) <=> (v1(constB100) | v6(constB100)))) | v22(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39094, 39093])).
% 17.96/13.15 tff(39096,plain,
% 17.96/13.15 (v22(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39095, 39091])).
% 17.96/13.15 tff(39097,plain,
% 17.96/13.15 ((~((~v19(constB100)) | (~v22(constB100)))) | (~v19(constB100)) | (~v22(constB100))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39098,plain,
% 17.96/13.15 ((~((~v19(constB100)) | (~v22(constB100)))) | (~v19(constB100))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39097, 39096])).
% 17.96/13.15 tff(39099,plain,
% 17.96/13.15 (~v19(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39098, 39089])).
% 17.96/13.15 tff(39100,plain,
% 17.96/13.15 ((~(v19(constB100) <=> (v20(constB100) | v21(constB100)))) | v19(constB100) | (~(v20(constB100) | v21(constB100)))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39101,plain,
% 17.96/13.15 (~(v20(constB100) | v21(constB100))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39100, 39099, 39079])).
% 17.96/13.15 tff(39102,plain,
% 17.96/13.15 ((v20(constB100) | v21(constB100)) | (~v21(constB100))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39103,plain,
% 17.96/13.15 (~v21(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39102, 39101])).
% 17.96/13.15 tff(39104,plain,
% 17.96/13.15 ((~((~v21(constB100)) <=> v6(constB100))) | v21(constB100) | v6(constB100)),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39105,plain,
% 17.96/13.15 (v6(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39104, 39103, 39077])).
% 17.96/13.15 tff(39106,plain,
% 17.96/13.15 ((~(v6(constB100) <=> v13(constB100))) | (~v6(constB100)) | v13(constB100)),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39107,plain,
% 17.96/13.15 (v13(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39106, 39105, 39075])).
% 17.96/13.15 tff(39108,plain,
% 17.96/13.15 ((~(v13(constB100) <=> v9(constB99))) | (~v13(constB100)) | v9(constB99)),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39109,plain,
% 17.96/13.15 (v9(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39108, 39107, 39073])).
% 17.96/13.15 tff(39110,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB99)) <=> v1(constB99))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39111,plain,
% 17.96/13.15 ((~v39(constB99)) <=> v1(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39110, 139])).
% 17.96/13.15 tff(39112,plain,
% 17.96/13.15 ((~((~v39(constB99)) <=> v1(constB99))) | v39(constB99) | v1(constB99)),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39113,plain,
% 17.96/13.15 ((~((~v39(constB99)) <=> v1(constB99))) | v39(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39112, 6401])).
% 17.96/13.15 tff(39114,plain,
% 17.96/13.15 (v39(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39113, 39111])).
% 17.96/13.15 tff(39115,plain,
% 17.96/13.15 ((~((~v39(constB99)) | (~v9(constB99)))) | (~v39(constB99)) | (~v9(constB99))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39116,plain,
% 17.96/13.15 ((~((~v39(constB99)) | (~v9(constB99)))) | (~v9(constB99))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39115, 39114])).
% 17.96/13.15 tff(39117,plain,
% 17.96/13.15 (~((~v39(constB99)) | (~v9(constB99)))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39116, 39109])).
% 17.96/13.15 tff(39118,plain,
% 17.96/13.15 ((~(v141(constB99) <=> (~((~v39(constB99)) | (~v9(constB99)))))) | v141(constB99) | ((~v39(constB99)) | (~v9(constB99)))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39119,plain,
% 17.96/13.15 (v141(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39118, 39117, 39069])).
% 17.96/13.15 tff(39120,plain,
% 17.96/13.15 ((v141(constB99) | v26(constB99)) | (~v141(constB99))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39121,plain,
% 17.96/13.15 (v141(constB99) | v26(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39120, 39119])).
% 17.96/13.15 tff(39122,plain,
% 17.96/13.15 ((~(v140(constB99) <=> (v141(constB99) | v26(constB99)))) | v140(constB99) | (~(v141(constB99) | v26(constB99)))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39123,plain,
% 17.96/13.15 (v140(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39122, 39121, 39067])).
% 17.96/13.15 tff(39124,plain,
% 17.96/13.15 ((~((~v139(constB99)) <=> v140(constB99))) | (~v139(constB99)) | (~v140(constB99))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39125,plain,
% 17.96/13.15 (~v139(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39124, 39123, 39065])).
% 17.96/13.15 tff(39126,plain,
% 17.96/13.15 (((~v132(constB99)) | (~v139(constB99))) | v139(constB99)),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39127,plain,
% 17.96/13.15 ((~v132(constB99)) | (~v139(constB99))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39126, 39125])).
% 17.96/13.15 tff(39128,plain,
% 17.96/13.15 ((~(v138(constB99) <=> (~((~v132(constB99)) | (~v139(constB99)))))) | (~v138(constB99)) | (~((~v132(constB99)) | (~v139(constB99))))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39129,plain,
% 17.96/13.15 (~v138(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39128, 39127, 39063])).
% 17.96/13.15 tff(39130,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB99) <=> (~((~v143(constB99)) | (~v144(constB99)))))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39131,plain,
% 17.96/13.15 (v142(constB99) <=> (~((~v143(constB99)) | (~v144(constB99))))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39130, 596])).
% 17.96/13.15 tff(39132,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB99) <=> (~((~v141(constB99)) | (~v145(constB99)))))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39133,plain,
% 17.96/13.15 (v144(constB99) <=> (~((~v141(constB99)) | (~v145(constB99))))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39132, 608])).
% 17.96/13.15 tff(39134,plain,
% 17.96/13.15 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB99) <=> (~(v84(constB99, 1) | v84(constB99, 2) | (~v84(constB99, 0)))))),
% 17.96/13.15 inference(quant_inst,[status(thm)],[])).
% 17.96/13.15 tff(39135,plain,
% 17.96/13.15 (v145(constB99) <=> (~(v84(constB99, 1) | v84(constB99, 2) | (~v84(constB99, 0))))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39134, 755])).
% 17.96/13.15 tff(39136,plain,
% 17.96/13.15 ((v84(constB99, 1) | v84(constB99, 2) | (~v84(constB99, 0))) | v84(constB99, 0)),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39137,plain,
% 17.96/13.15 (v84(constB99, 1) | v84(constB99, 2) | (~v84(constB99, 0))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39136, 12595])).
% 17.96/13.15 tff(39138,plain,
% 17.96/13.15 ((~(v145(constB99) <=> (~(v84(constB99, 1) | v84(constB99, 2) | (~v84(constB99, 0)))))) | (~v145(constB99)) | (~(v84(constB99, 1) | v84(constB99, 2) | (~v84(constB99, 0))))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39139,plain,
% 17.96/13.15 (~v145(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39138, 39137, 39135])).
% 17.96/13.15 tff(39140,plain,
% 17.96/13.15 (((~v141(constB99)) | (~v145(constB99))) | v145(constB99)),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39141,plain,
% 17.96/13.15 ((~v141(constB99)) | (~v145(constB99))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39140, 39139])).
% 17.96/13.15 tff(39142,plain,
% 17.96/13.15 ((~(v144(constB99) <=> (~((~v141(constB99)) | (~v145(constB99)))))) | (~v144(constB99)) | (~((~v141(constB99)) | (~v145(constB99))))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39143,plain,
% 17.96/13.15 (~v144(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39142, 39141, 39133])).
% 17.96/13.15 tff(39144,plain,
% 17.96/13.15 (((~v143(constB99)) | (~v144(constB99))) | v144(constB99)),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39145,plain,
% 17.96/13.15 ((~v143(constB99)) | (~v144(constB99))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39144, 39143])).
% 17.96/13.15 tff(39146,plain,
% 17.96/13.15 ((~(v142(constB99) <=> (~((~v143(constB99)) | (~v144(constB99)))))) | (~v142(constB99)) | (~((~v143(constB99)) | (~v144(constB99))))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39147,plain,
% 17.96/13.15 (~v142(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39146, 39145, 39131])).
% 17.96/13.15 tff(39148,plain,
% 17.96/13.15 ((~(v138(constB99) | v142(constB99))) | v138(constB99) | v142(constB99)),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39149,plain,
% 17.96/13.15 (~(v138(constB99) | v142(constB99))),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39148, 39147, 39129])).
% 17.96/13.15 tff(39150,plain,
% 17.96/13.15 ((~(v135(constB99) <=> (v138(constB99) | v142(constB99)))) | (~v135(constB99)) | (v138(constB99) | v142(constB99))),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39151,plain,
% 17.96/13.15 (~v135(constB99)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39150, 39149, 39056])).
% 17.96/13.15 tff(39152,plain,
% 17.96/13.15 ((~(v137(constB100) <=> v135(constB99))) | (~v137(constB100)) | v135(constB99)),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39153,plain,
% 17.96/13.15 (~v137(constB100)),
% 17.96/13.15 inference(unit_resolution,[status(thm)],[39152, 39151, 39054])).
% 17.96/13.15 tff(39154,plain,
% 17.96/13.15 ((~(v132(constB100) <=> v137(constB100))) | (~v132(constB100)) | v137(constB100)),
% 17.96/13.15 inference(tautology,[status(thm)],[])).
% 17.96/13.15 tff(39155,plain,
% 17.96/13.16 (~v132(constB100)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39154, 39153, 39050])).
% 17.96/13.16 tff(39156,plain,
% 17.96/13.16 (((~v132(constB100)) | (~v139(constB100))) | v132(constB100)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39157,plain,
% 17.96/13.16 ((~v132(constB100)) | (~v139(constB100))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39156, 39155])).
% 17.96/13.16 tff(39158,plain,
% 17.96/13.16 ((~(v138(constB100) <=> (~((~v132(constB100)) | (~v139(constB100)))))) | (~v138(constB100)) | (~((~v132(constB100)) | (~v139(constB100))))),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39159,plain,
% 17.96/13.16 (~v138(constB100)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39158, 39157, 39048])).
% 17.96/13.16 tff(39160,plain,
% 17.96/13.16 ((~(v138(constB100) | v142(constB100))) | v138(constB100) | v142(constB100)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39161,plain,
% 17.96/13.16 (~(v138(constB100) | v142(constB100))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39160, 39159, 39041])).
% 17.96/13.16 tff(39162,plain,
% 17.96/13.16 ((~(v135(constB100) <=> (v138(constB100) | v142(constB100)))) | (~v135(constB100)) | (v138(constB100) | v142(constB100))),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39163,plain,
% 17.96/13.16 (~v135(constB100)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39162, 39161, 39016])).
% 17.96/13.16 tff(39164,plain,
% 17.96/13.16 ((~(v137(constB101) <=> v135(constB100))) | (~v137(constB101)) | v135(constB100)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39165,plain,
% 17.96/13.16 (~v137(constB101)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39164, 39163, 39014])).
% 17.96/13.16 tff(39166,plain,
% 17.96/13.16 ((~(v132(constB101) <=> v137(constB101))) | (~v132(constB101)) | v137(constB101)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39167,plain,
% 17.96/13.16 (~v132(constB101)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39166, 39165, 39010])).
% 17.96/13.16 tff(39168,plain,
% 17.96/13.16 (((~v132(constB101)) | (~v155(constB101))) | v132(constB101)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39169,plain,
% 17.96/13.16 ((~v132(constB101)) | (~v155(constB101))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39168, 39167])).
% 17.96/13.16 tff(39170,plain,
% 17.96/13.16 ((~(v154(constB101) <=> (~((~v132(constB101)) | (~v155(constB101)))))) | (~v154(constB101)) | (~((~v132(constB101)) | (~v155(constB101))))),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39171,plain,
% 17.96/13.16 (~v154(constB101)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39170, 39169, 39008])).
% 17.96/13.16 tff(39172,plain,
% 17.96/13.16 ((~(v153(constB101) | v154(constB101))) | v153(constB101) | v154(constB101)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39173,plain,
% 17.96/13.16 (~(v153(constB101) | v154(constB101))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39172, 39171, 39001])).
% 17.96/13.16 tff(39174,plain,
% 17.96/13.16 ((~(v150(constB101) <=> (v153(constB101) | v154(constB101)))) | (~v150(constB101)) | (v153(constB101) | v154(constB101))),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39175,plain,
% 17.96/13.16 (~v150(constB101)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39174, 39173, 38990])).
% 17.96/13.16 tff(39176,plain,
% 17.96/13.16 ((~(v152(constB102) <=> v150(constB101))) | (~v152(constB102)) | v150(constB101)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39177,plain,
% 17.96/13.16 (~v152(constB102)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39176, 39175, 38988])).
% 17.96/13.16 tff(39178,plain,
% 17.96/13.16 ((~(v130(constB102) <=> v152(constB102))) | (~v130(constB102)) | v152(constB102)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39179,plain,
% 17.96/13.16 (~v130(constB102)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39178, 39177, 38984])).
% 17.96/13.16 tff(39180,plain,
% 17.96/13.16 (((~v130(constB102)) | (~v139(constB102))) | v130(constB102)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39181,plain,
% 17.96/13.16 ((~v130(constB102)) | (~v139(constB102))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39180, 39179])).
% 17.96/13.16 tff(39182,plain,
% 17.96/13.16 ((~(v153(constB102) <=> (~((~v130(constB102)) | (~v139(constB102)))))) | (~v153(constB102)) | (~((~v130(constB102)) | (~v139(constB102))))),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39183,plain,
% 17.96/13.16 (~v153(constB102)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39182, 39181, 38982])).
% 17.96/13.16 tff(39184,plain,
% 17.96/13.16 ((~(v153(constB102) | v154(constB102))) | v153(constB102) | v154(constB102)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39185,plain,
% 17.96/13.16 (~(v153(constB102) | v154(constB102))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39184, 39183, 38975])).
% 17.96/13.16 tff(39186,plain,
% 17.96/13.16 ((~(v150(constB102) <=> (v153(constB102) | v154(constB102)))) | (~v150(constB102)) | (v153(constB102) | v154(constB102))),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39187,plain,
% 17.96/13.16 (~v150(constB102)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39186, 39185, 38952])).
% 17.96/13.16 tff(39188,plain,
% 17.96/13.16 ((~(v152(constB103) <=> v150(constB102))) | (~v152(constB103)) | v150(constB102)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39189,plain,
% 17.96/13.16 (~v152(constB103)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39188, 39187, 38950])).
% 17.96/13.16 tff(39190,plain,
% 17.96/13.16 ((~(v130(constB103) <=> v152(constB103))) | (~v130(constB103)) | v152(constB103)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39191,plain,
% 17.96/13.16 (~v130(constB103)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39190, 39189, 38946])).
% 17.96/13.16 tff(39192,plain,
% 17.96/13.16 (((~v130(constB103)) | (~v155(constB103))) | v130(constB103)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39193,plain,
% 17.96/13.16 ((~v130(constB103)) | (~v155(constB103))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39192, 39191])).
% 17.96/13.16 tff(39194,plain,
% 17.96/13.16 ((~(v164(constB103) <=> (~((~v130(constB103)) | (~v155(constB103)))))) | (~v164(constB103)) | (~((~v130(constB103)) | (~v155(constB103))))),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39195,plain,
% 17.96/13.16 (~v164(constB103)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39194, 39193, 38944])).
% 17.96/13.16 tff(39196,plain,
% 17.96/13.16 ((~(v163(constB103) | v164(constB103))) | v163(constB103) | v164(constB103)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39197,plain,
% 17.96/13.16 (~(v163(constB103) | v164(constB103))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39196, 39195, 38937])).
% 17.96/13.16 tff(39198,plain,
% 17.96/13.16 ((~(v160(constB103) <=> (v163(constB103) | v164(constB103)))) | (~v160(constB103)) | (v163(constB103) | v164(constB103))),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39199,plain,
% 17.96/13.16 (~v160(constB103)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39198, 39197, 38926])).
% 17.96/13.16 tff(39200,plain,
% 17.96/13.16 ((~(v162(constB104) <=> v160(constB103))) | (~v162(constB104)) | v160(constB103)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39201,plain,
% 17.96/13.16 (~v162(constB104)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39200, 39199, 38924])).
% 17.96/13.16 tff(39202,plain,
% 17.96/13.16 ((~(v128(constB104) <=> v162(constB104))) | (~v128(constB104)) | v162(constB104)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39203,plain,
% 17.96/13.16 (~v128(constB104)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39202, 39201, 38920])).
% 17.96/13.16 tff(39204,plain,
% 17.96/13.16 (((~v128(constB104)) | (~v139(constB104))) | v128(constB104)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39205,plain,
% 17.96/13.16 ((~v128(constB104)) | (~v139(constB104))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39204, 39203])).
% 17.96/13.16 tff(39206,plain,
% 17.96/13.16 ((~(v163(constB104) <=> (~((~v128(constB104)) | (~v139(constB104)))))) | (~v163(constB104)) | (~((~v128(constB104)) | (~v139(constB104))))),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39207,plain,
% 17.96/13.16 (~v163(constB104)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39206, 39205, 38918])).
% 17.96/13.16 tff(39208,plain,
% 17.96/13.16 ((~(v163(constB104) | v164(constB104))) | v163(constB104) | v164(constB104)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39209,plain,
% 17.96/13.16 (~(v163(constB104) | v164(constB104))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39208, 39207, 38911])).
% 17.96/13.16 tff(39210,plain,
% 17.96/13.16 ((~(v160(constB104) <=> (v163(constB104) | v164(constB104)))) | (~v160(constB104)) | (v163(constB104) | v164(constB104))),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39211,plain,
% 17.96/13.16 (~v160(constB104)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39210, 39209, 38900])).
% 17.96/13.16 tff(39212,plain,
% 17.96/13.16 ((~(v162(constB105) <=> v160(constB104))) | (~v162(constB105)) | v160(constB104)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39213,plain,
% 17.96/13.16 (~v162(constB105)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39212, 39211, 38898])).
% 17.96/13.16 tff(39214,plain,
% 17.96/13.16 ($false),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39213, 38894])).
% 17.96/13.16 tff(39215,plain,(~(constB105 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 17.96/13.16 tff(39216,assumption,(constB45 = VarCurr!0), introduced(assumption)).
% 17.96/13.16 tff(39217,plain,
% 17.96/13.16 (v162(constB45) <=> v162(VarCurr!0)),
% 17.96/13.16 inference(monotonicity,[status(thm)],[39216])).
% 17.96/13.16 tff(39218,plain,
% 17.96/13.16 (v162(VarCurr!0) <=> v162(constB45)),
% 17.96/13.16 inference(symmetry,[status(thm)],[39217])).
% 17.96/13.16 tff(39219,plain,
% 17.96/13.16 (v162(constB45)),
% 17.96/13.16 inference(modus_ponens,[status(thm)],[59, 39218])).
% 17.96/13.16 tff(39220,plain,
% 17.96/13.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB44, constB45)) | (v162(constB45) <=> v160(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB44, constB45)) | (v162(constB45) <=> v160(constB44)))),
% 17.96/13.16 inference(rewrite,[status(thm)],[])).
% 17.96/13.16 tff(39221,plain,
% 17.96/13.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB44, constB45)) | (v162(constB45) <=> v160(constB44)))),
% 17.96/13.16 inference(quant_inst,[status(thm)],[])).
% 17.96/13.16 tff(39222,plain,
% 17.96/13.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB44, constB45)) | (v162(constB45) <=> v160(constB44))),
% 17.96/13.16 inference(modus_ponens,[status(thm)],[39221, 39220])).
% 17.96/13.16 tff(39223,plain,
% 17.96/13.16 (v162(constB45) <=> v160(constB44)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39222, 573, 70])).
% 17.96/13.16 tff(39224,plain,
% 17.96/13.16 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB44) <=> (v163(constB44) | v164(constB44)))),
% 17.96/13.16 inference(quant_inst,[status(thm)],[])).
% 17.96/13.16 tff(39225,plain,
% 17.96/13.16 (v160(constB44) <=> (v163(constB44) | v164(constB44))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39224, 84])).
% 17.96/13.16 tff(39226,plain,
% 17.96/13.16 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB44) <=> (~((~v130(constB44)) | (~v155(constB44)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB44) <=> (~((~v130(constB44)) | (~v155(constB44))))))),
% 17.96/13.16 inference(rewrite,[status(thm)],[])).
% 17.96/13.16 tff(39227,plain,
% 17.96/13.16 ((v164(constB44) <=> (~((~v155(constB44)) | (~v130(constB44))))) <=> (v164(constB44) <=> (~((~v130(constB44)) | (~v155(constB44)))))),
% 17.96/13.16 inference(rewrite,[status(thm)],[])).
% 17.96/13.16 tff(39228,plain,
% 17.96/13.16 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB44) <=> (~((~v155(constB44)) | (~v130(constB44)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB44) <=> (~((~v130(constB44)) | (~v155(constB44))))))),
% 17.96/13.16 inference(monotonicity,[status(thm)],[39227])).
% 17.96/13.16 tff(39229,plain,
% 17.96/13.16 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB44) <=> (~((~v155(constB44)) | (~v130(constB44)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB44) <=> (~((~v130(constB44)) | (~v155(constB44))))))),
% 17.96/13.16 inference(transitivity,[status(thm)],[39228, 39226])).
% 17.96/13.16 tff(39230,plain,
% 17.96/13.16 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB44) <=> (~((~v155(constB44)) | (~v130(constB44)))))),
% 17.96/13.16 inference(quant_inst,[status(thm)],[])).
% 17.96/13.16 tff(39231,plain,
% 17.96/13.16 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB44) <=> (~((~v130(constB44)) | (~v155(constB44)))))),
% 17.96/13.16 inference(modus_ponens,[status(thm)],[39230, 39229])).
% 17.96/13.16 tff(39232,plain,
% 17.96/13.16 (v164(constB44) <=> (~((~v130(constB44)) | (~v155(constB44))))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39231, 96])).
% 17.96/13.16 tff(39233,plain,
% 17.96/13.16 (((~v130(constB44)) | (~v155(constB44))) | v155(constB44)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39234,plain,
% 17.96/13.16 ((~v130(constB44)) | (~v155(constB44))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39233, 30381])).
% 17.96/13.16 tff(39235,plain,
% 17.96/13.16 ((~(v164(constB44) <=> (~((~v130(constB44)) | (~v155(constB44)))))) | (~v164(constB44)) | (~((~v130(constB44)) | (~v155(constB44))))),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39236,plain,
% 17.96/13.16 (~v164(constB44)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39235, 39234, 39232])).
% 17.96/13.16 tff(39237,plain,
% 17.96/13.16 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB44) <=> (~((~v128(constB44)) | (~v139(constB44)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB44) <=> (~((~v128(constB44)) | (~v139(constB44))))))),
% 17.96/13.16 inference(rewrite,[status(thm)],[])).
% 17.96/13.16 tff(39238,plain,
% 17.96/13.16 ((v163(constB44) <=> (~((~v139(constB44)) | (~v128(constB44))))) <=> (v163(constB44) <=> (~((~v128(constB44)) | (~v139(constB44)))))),
% 17.96/13.16 inference(rewrite,[status(thm)],[])).
% 17.96/13.16 tff(39239,plain,
% 17.96/13.16 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB44) <=> (~((~v139(constB44)) | (~v128(constB44)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB44) <=> (~((~v128(constB44)) | (~v139(constB44))))))),
% 17.96/13.16 inference(monotonicity,[status(thm)],[39238])).
% 17.96/13.16 tff(39240,plain,
% 17.96/13.16 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB44) <=> (~((~v139(constB44)) | (~v128(constB44)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB44) <=> (~((~v128(constB44)) | (~v139(constB44))))))),
% 17.96/13.16 inference(transitivity,[status(thm)],[39239, 39237])).
% 17.96/13.16 tff(39241,plain,
% 17.96/13.16 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB44) <=> (~((~v139(constB44)) | (~v128(constB44)))))),
% 17.96/13.16 inference(quant_inst,[status(thm)],[])).
% 17.96/13.16 tff(39242,plain,
% 17.96/13.16 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB44) <=> (~((~v128(constB44)) | (~v139(constB44)))))),
% 17.96/13.16 inference(modus_ponens,[status(thm)],[39241, 39240])).
% 17.96/13.16 tff(39243,plain,
% 17.96/13.16 (v163(constB44) <=> (~((~v128(constB44)) | (~v139(constB44))))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39242, 171])).
% 17.96/13.16 tff(39244,plain,
% 17.96/13.16 ((~![VarNext: state_type] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB44) <=> v162(constB44))),
% 17.96/13.16 inference(quant_inst,[status(thm)],[])).
% 17.96/13.16 tff(39245,plain,
% 17.96/13.16 (v128(constB44) <=> v162(constB44)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39244, 13])).
% 17.96/13.16 tff(39246,plain,
% 17.96/13.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB43, constB44)) | (v162(constB44) <=> v160(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB43, constB44)) | (v162(constB44) <=> v160(constB43)))),
% 17.96/13.16 inference(rewrite,[status(thm)],[])).
% 17.96/13.16 tff(39247,plain,
% 17.96/13.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB43, constB44)) | (v162(constB44) <=> v160(constB43)))),
% 17.96/13.16 inference(quant_inst,[status(thm)],[])).
% 17.96/13.16 tff(39248,plain,
% 17.96/13.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB43, constB44)) | (v162(constB44) <=> v160(constB43))),
% 17.96/13.16 inference(modus_ponens,[status(thm)],[39247, 39246])).
% 17.96/13.16 tff(39249,plain,
% 17.96/13.16 (v162(constB44) <=> v160(constB43)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39248, 656, 70])).
% 17.96/13.16 tff(39250,plain,
% 17.96/13.16 ((~![VarCurr: state_type] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB43) <=> (v163(constB43) | v164(constB43)))),
% 17.96/13.16 inference(quant_inst,[status(thm)],[])).
% 17.96/13.16 tff(39251,plain,
% 17.96/13.16 (v160(constB43) <=> (v163(constB43) | v164(constB43))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39250, 84])).
% 17.96/13.16 tff(39252,plain,
% 17.96/13.16 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB43) <=> (~((~v128(constB43)) | (~v139(constB43)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB43) <=> (~((~v128(constB43)) | (~v139(constB43))))))),
% 17.96/13.16 inference(rewrite,[status(thm)],[])).
% 17.96/13.16 tff(39253,plain,
% 17.96/13.16 ((v163(constB43) <=> (~((~v139(constB43)) | (~v128(constB43))))) <=> (v163(constB43) <=> (~((~v128(constB43)) | (~v139(constB43)))))),
% 17.96/13.16 inference(rewrite,[status(thm)],[])).
% 17.96/13.16 tff(39254,plain,
% 17.96/13.16 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB43) <=> (~((~v139(constB43)) | (~v128(constB43)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB43) <=> (~((~v128(constB43)) | (~v139(constB43))))))),
% 17.96/13.16 inference(monotonicity,[status(thm)],[39253])).
% 17.96/13.16 tff(39255,plain,
% 17.96/13.16 (((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB43) <=> (~((~v139(constB43)) | (~v128(constB43)))))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB43) <=> (~((~v128(constB43)) | (~v139(constB43))))))),
% 17.96/13.16 inference(transitivity,[status(thm)],[39254, 39252])).
% 17.96/13.16 tff(39256,plain,
% 17.96/13.16 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB43) <=> (~((~v139(constB43)) | (~v128(constB43)))))),
% 17.96/13.16 inference(quant_inst,[status(thm)],[])).
% 17.96/13.16 tff(39257,plain,
% 17.96/13.16 ((~![VarCurr: state_type] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB43) <=> (~((~v128(constB43)) | (~v139(constB43)))))),
% 17.96/13.16 inference(modus_ponens,[status(thm)],[39256, 39255])).
% 17.96/13.16 tff(39258,plain,
% 17.96/13.16 (v163(constB43) <=> (~((~v128(constB43)) | (~v139(constB43))))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39257, 171])).
% 17.96/13.16 tff(39259,plain,
% 17.96/13.16 (((~v128(constB43)) | (~v139(constB43))) | v139(constB43)),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39260,plain,
% 17.96/13.16 ((~v128(constB43)) | (~v139(constB43))),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39259, 734])).
% 17.96/13.16 tff(39261,plain,
% 17.96/13.16 ((~(v163(constB43) <=> (~((~v128(constB43)) | (~v139(constB43)))))) | (~v163(constB43)) | (~((~v128(constB43)) | (~v139(constB43))))),
% 17.96/13.16 inference(tautology,[status(thm)],[])).
% 17.96/13.16 tff(39262,plain,
% 17.96/13.16 (~v163(constB43)),
% 17.96/13.16 inference(unit_resolution,[status(thm)],[39261, 39260, 39258])).
% 17.96/13.16 tff(39263,plain,
% 17.96/13.16 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB43) <=> (~((~v130(constB43)) | (~v155(constB43)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB43) <=> (~((~v130(constB43)) | (~v155(constB43))))))),
% 17.96/13.16 inference(rewrite,[status(thm)],[])).
% 17.96/13.16 tff(39264,plain,
% 17.96/13.16 ((v164(constB43) <=> (~((~v155(constB43)) | (~v130(constB43))))) <=> (v164(constB43) <=> (~((~v130(constB43)) | (~v155(constB43)))))),
% 17.96/13.16 inference(rewrite,[status(thm)],[])).
% 17.96/13.16 tff(39265,plain,
% 17.96/13.16 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB43) <=> (~((~v155(constB43)) | (~v130(constB43)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB43) <=> (~((~v130(constB43)) | (~v155(constB43))))))),
% 17.96/13.16 inference(monotonicity,[status(thm)],[39264])).
% 17.96/13.16 tff(39266,plain,
% 17.96/13.16 (((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB43) <=> (~((~v155(constB43)) | (~v130(constB43)))))) <=> ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB43) <=> (~((~v130(constB43)) | (~v155(constB43))))))),
% 17.96/13.16 inference(transitivity,[status(thm)],[39265, 39263])).
% 17.96/13.16 tff(39267,plain,
% 17.96/13.16 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB43) <=> (~((~v155(constB43)) | (~v130(constB43)))))),
% 17.96/13.17 inference(quant_inst,[status(thm)],[])).
% 17.96/13.17 tff(39268,plain,
% 17.96/13.17 ((~![VarCurr: state_type] : (v164(VarCurr) <=> (~((~v155(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB43) <=> (~((~v130(constB43)) | (~v155(constB43)))))),
% 17.96/13.17 inference(modus_ponens,[status(thm)],[39267, 39266])).
% 17.96/13.17 tff(39269,plain,
% 17.96/13.17 (v164(constB43) <=> (~((~v130(constB43)) | (~v155(constB43))))),
% 17.96/13.17 inference(unit_resolution,[status(thm)],[39268, 96])).
% 17.96/13.17 tff(39270,plain,
% 17.96/13.17 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB43) <=> v152(constB43))),
% 17.96/13.17 inference(quant_inst,[status(thm)],[])).
% 17.96/13.17 tff(39271,plain,
% 17.96/13.17 (v130(constB43) <=> v152(constB43)),
% 17.96/13.17 inference(unit_resolution,[status(thm)],[39270, 361])).
% 17.96/13.17 tff(39272,plain,
% 17.96/13.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB42, constB43)) | (v152(constB43) <=> v150(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB42, constB43)) | (v152(constB43) <=> v150(constB42)))),
% 17.96/13.17 inference(rewrite,[status(thm)],[])).
% 17.96/13.17 tff(39273,plain,
% 17.96/13.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB42, constB43)) | (v152(constB43) <=> v150(constB42)))),
% 17.96/13.17 inference(quant_inst,[status(thm)],[])).
% 17.96/13.17 tff(39274,plain,
% 17.96/13.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB42, constB43)) | (v152(constB43) <=> v150(constB42))),
% 17.96/13.17 inference(modus_ponens,[status(thm)],[39273, 39272])).
% 17.96/13.17 tff(39275,plain,
% 17.96/13.17 (v152(constB43) <=> v150(constB42)),
% 17.96/13.17 inference(unit_resolution,[status(thm)],[39274, 773, 373])).
% 17.96/13.17 tff(39276,plain,
% 17.96/13.17 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB42) <=> (v153(constB42) | v154(constB42)))),
% 17.96/13.17 inference(quant_inst,[status(thm)],[])).
% 17.96/13.17 tff(39277,plain,
% 17.96/13.17 (v150(constB42) <=> (v153(constB42) | v154(constB42))),
% 17.96/13.17 inference(unit_resolution,[status(thm)],[39276, 387])).
% 17.96/13.17 tff(39278,plain,
% 17.96/13.17 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB42) <=> (~((~v132(constB42)) | (~v155(constB42)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB42) <=> (~((~v132(constB42)) | (~v155(constB42))))))),
% 17.96/13.17 inference(rewrite,[status(thm)],[])).
% 17.96/13.17 tff(39279,plain,
% 17.96/13.17 ((v154(constB42) <=> (~((~v155(constB42)) | (~v132(constB42))))) <=> (v154(constB42) <=> (~((~v132(constB42)) | (~v155(constB42)))))),
% 17.96/13.17 inference(rewrite,[status(thm)],[])).
% 17.96/13.17 tff(39280,plain,
% 17.96/13.17 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB42) <=> (~((~v155(constB42)) | (~v132(constB42)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB42) <=> (~((~v132(constB42)) | (~v155(constB42))))))),
% 17.96/13.17 inference(monotonicity,[status(thm)],[39279])).
% 17.96/13.17 tff(39281,plain,
% 17.96/13.17 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB42) <=> (~((~v155(constB42)) | (~v132(constB42)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB42) <=> (~((~v132(constB42)) | (~v155(constB42))))))),
% 17.96/13.17 inference(transitivity,[status(thm)],[39280, 39278])).
% 17.96/13.17 tff(39282,plain,
% 17.96/13.17 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB42) <=> (~((~v155(constB42)) | (~v132(constB42)))))),
% 17.96/13.17 inference(quant_inst,[status(thm)],[])).
% 17.96/13.17 tff(39283,plain,
% 17.96/13.17 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB42) <=> (~((~v132(constB42)) | (~v155(constB42)))))),
% 17.96/13.17 inference(modus_ponens,[status(thm)],[39282, 39281])).
% 17.96/13.17 tff(39284,plain,
% 17.96/13.17 (v154(constB42) <=> (~((~v132(constB42)) | (~v155(constB42))))),
% 17.96/13.17 inference(unit_resolution,[status(thm)],[39283, 399])).
% 17.96/13.17 tff(39285,plain,
% 17.96/13.17 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB42) <=> (~((~v141(constB42)) | (~v143(constB42)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB42) <=> (~((~v141(constB42)) | (~v143(constB42))))))),
% 17.96/13.17 inference(rewrite,[status(thm)],[])).
% 17.96/13.17 tff(39286,plain,
% 17.96/13.17 ((v155(constB42) <=> (~((~v143(constB42)) | (~v141(constB42))))) <=> (v155(constB42) <=> (~((~v141(constB42)) | (~v143(constB42)))))),
% 17.96/13.17 inference(rewrite,[status(thm)],[])).
% 17.96/13.17 tff(39287,plain,
% 17.96/13.17 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB42) <=> (~((~v143(constB42)) | (~v141(constB42)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB42) <=> (~((~v141(constB42)) | (~v143(constB42))))))),
% 17.96/13.17 inference(monotonicity,[status(thm)],[39286])).
% 17.96/13.17 tff(39288,plain,
% 17.96/13.17 (((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB42) <=> (~((~v143(constB42)) | (~v141(constB42)))))) <=> ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB42) <=> (~((~v141(constB42)) | (~v143(constB42))))))),
% 17.96/13.17 inference(transitivity,[status(thm)],[39287, 39285])).
% 17.96/13.17 tff(39289,plain,
% 17.96/13.17 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB42) <=> (~((~v143(constB42)) | (~v141(constB42)))))),
% 17.96/13.17 inference(quant_inst,[status(thm)],[])).
% 17.96/13.17 tff(39290,plain,
% 17.96/13.17 ((~![VarCurr: state_type] : (v155(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v155(constB42) <=> (~((~v141(constB42)) | (~v143(constB42)))))),
% 17.96/13.17 inference(modus_ponens,[status(thm)],[39289, 39288])).
% 17.96/13.17 tff(39291,plain,
% 17.96/13.17 (v155(constB42) <=> (~((~v141(constB42)) | (~v143(constB42))))),
% 17.96/13.17 inference(unit_resolution,[status(thm)],[39290, 113])).
% 17.96/13.17 tff(39292,plain,
% 17.96/13.17 (((~v141(constB42)) | (~v143(constB42))) | v141(constB42)),
% 17.96/13.17 inference(tautology,[status(thm)],[])).
% 17.96/13.17 tff(39293,plain,
% 17.96/13.17 ((~v141(constB42)) | (~v143(constB42))),
% 17.96/13.17 inference(unit_resolution,[status(thm)],[39292, 30442])).
% 17.96/13.17 tff(39294,plain,
% 17.96/13.17 ((~(v155(constB42) <=> (~((~v141(constB42)) | (~v143(constB42)))))) | (~v155(constB42)) | (~((~v141(constB42)) | (~v143(constB42))))),
% 17.96/13.17 inference(tautology,[status(thm)],[])).
% 17.96/13.17 tff(39295,plain,
% 17.96/13.17 ((~(v155(constB42) <=> (~((~v141(constB42)) | (~v143(constB42)))))) | (~v155(constB42))),
% 17.96/13.17 inference(unit_resolution,[status(thm)],[39294, 39293])).
% 17.96/13.17 tff(39296,plain,
% 17.96/13.17 (~v155(constB42)),
% 17.96/13.17 inference(unit_resolution,[status(thm)],[39295, 39291])).
% 17.96/13.17 tff(39297,plain,
% 17.96/13.17 (((~v132(constB42)) | (~v155(constB42))) | v155(constB42)),
% 17.96/13.17 inference(tautology,[status(thm)],[])).
% 17.96/13.17 tff(39298,plain,
% 17.96/13.17 ((~v132(constB42)) | (~v155(constB42))),
% 17.96/13.17 inference(unit_resolution,[status(thm)],[39297, 39296])).
% 17.96/13.17 tff(39299,plain,
% 17.96/13.17 ((~(v154(constB42) <=> (~((~v132(constB42)) | (~v155(constB42)))))) | (~v154(constB42)) | (~((~v132(constB42)) | (~v155(constB42))))),
% 17.96/13.17 inference(tautology,[status(thm)],[])).
% 17.96/13.17 tff(39300,plain,
% 17.96/13.17 (~v154(constB42)),
% 17.96/13.17 inference(unit_resolution,[status(thm)],[39299, 39298, 39284])).
% 17.96/13.17 tff(39301,plain,
% 17.96/13.17 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB42) <=> (~((~v130(constB42)) | (~v139(constB42)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB42) <=> (~((~v130(constB42)) | (~v139(constB42))))))),
% 17.96/13.17 inference(rewrite,[status(thm)],[])).
% 17.96/13.17 tff(39302,plain,
% 17.96/13.17 ((v153(constB42) <=> (~((~v139(constB42)) | (~v130(constB42))))) <=> (v153(constB42) <=> (~((~v130(constB42)) | (~v139(constB42)))))),
% 17.96/13.17 inference(rewrite,[status(thm)],[])).
% 17.96/13.17 tff(39303,plain,
% 17.96/13.17 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB42) <=> (~((~v139(constB42)) | (~v130(constB42)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB42) <=> (~((~v130(constB42)) | (~v139(constB42))))))),
% 17.96/13.17 inference(monotonicity,[status(thm)],[39302])).
% 17.96/13.17 tff(39304,plain,
% 17.96/13.17 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB42) <=> (~((~v139(constB42)) | (~v130(constB42)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB42) <=> (~((~v130(constB42)) | (~v139(constB42))))))),
% 17.96/13.17 inference(transitivity,[status(thm)],[39303, 39301])).
% 17.96/13.17 tff(39305,plain,
% 17.96/13.17 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB42) <=> (~((~v139(constB42)) | (~v130(constB42)))))),
% 17.96/13.17 inference(quant_inst,[status(thm)],[])).
% 17.96/13.17 tff(39306,plain,
% 17.96/13.17 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB42) <=> (~((~v130(constB42)) | (~v139(constB42)))))),
% 17.96/13.17 inference(modus_ponens,[status(thm)],[39305, 39304])).
% 17.96/13.17 tff(39307,plain,
% 17.96/13.17 (v153(constB42) <=> (~((~v130(constB42)) | (~v139(constB42))))),
% 17.96/13.17 inference(unit_resolution,[status(thm)],[39306, 447])).
% 17.96/13.17 tff(39308,plain,
% 17.96/13.17 ((~![VarNext: state_type] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB42) <=> v152(constB42))),
% 17.96/13.17 inference(quant_inst,[status(thm)],[])).
% 17.96/13.17 tff(39309,plain,
% 17.96/13.17 (v130(constB42) <=> v152(constB42)),
% 17.96/13.17 inference(unit_resolution,[status(thm)],[39308, 361])).
% 17.96/13.17 tff(39310,plain,
% 17.96/13.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB41, constB42)) | (v152(constB42) <=> v150(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB41, constB42)) | (v152(constB42) <=> v150(constB41)))),
% 17.96/13.17 inference(rewrite,[status(thm)],[])).
% 17.96/13.17 tff(39311,plain,
% 17.96/13.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB41, constB42)) | (v152(constB42) <=> v150(constB41)))),
% 17.96/13.17 inference(quant_inst,[status(thm)],[])).
% 17.96/13.17 tff(39312,plain,
% 17.96/13.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB41, constB42)) | (v152(constB42) <=> v150(constB41))),
% 17.96/13.17 inference(modus_ponens,[status(thm)],[39311, 39310])).
% 17.96/13.17 tff(39313,plain,
% 17.96/13.17 (v152(constB42) <=> v150(constB41)),
% 17.96/13.17 inference(unit_resolution,[status(thm)],[39312, 845, 373])).
% 17.96/13.17 tff(39314,plain,
% 17.96/13.17 ((~![VarCurr: state_type] : (v150(VarCurr) <=> (v153(VarCurr) | v154(VarCurr)))) | (v150(constB41) <=> (v153(constB41) | v154(constB41)))),
% 17.96/13.17 inference(quant_inst,[status(thm)],[])).
% 17.96/13.17 tff(39315,plain,
% 17.96/13.17 (v150(constB41) <=> (v153(constB41) | v154(constB41))),
% 17.96/13.17 inference(unit_resolution,[status(thm)],[39314, 387])).
% 17.96/13.17 tff(39316,plain,
% 17.96/13.17 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB41) <=> (~((~v130(constB41)) | (~v139(constB41)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB41) <=> (~((~v130(constB41)) | (~v139(constB41))))))),
% 17.96/13.17 inference(rewrite,[status(thm)],[])).
% 17.96/13.17 tff(39317,plain,
% 17.96/13.17 ((v153(constB41) <=> (~((~v139(constB41)) | (~v130(constB41))))) <=> (v153(constB41) <=> (~((~v130(constB41)) | (~v139(constB41)))))),
% 17.96/13.17 inference(rewrite,[status(thm)],[])).
% 17.96/13.17 tff(39318,plain,
% 17.96/13.17 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB41) <=> (~((~v139(constB41)) | (~v130(constB41)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB41) <=> (~((~v130(constB41)) | (~v139(constB41))))))),
% 17.96/13.17 inference(monotonicity,[status(thm)],[39317])).
% 17.96/13.17 tff(39319,plain,
% 17.96/13.17 (((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB41) <=> (~((~v139(constB41)) | (~v130(constB41)))))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB41) <=> (~((~v130(constB41)) | (~v139(constB41))))))),
% 18.04/13.17 inference(transitivity,[status(thm)],[39318, 39316])).
% 18.04/13.17 tff(39320,plain,
% 18.04/13.17 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB41) <=> (~((~v139(constB41)) | (~v130(constB41)))))),
% 18.04/13.17 inference(quant_inst,[status(thm)],[])).
% 18.04/13.17 tff(39321,plain,
% 18.04/13.17 ((~![VarCurr: state_type] : (v153(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v153(constB41) <=> (~((~v130(constB41)) | (~v139(constB41)))))),
% 18.04/13.17 inference(modus_ponens,[status(thm)],[39320, 39319])).
% 18.04/13.17 tff(39322,plain,
% 18.04/13.17 (v153(constB41) <=> (~((~v130(constB41)) | (~v139(constB41))))),
% 18.04/13.17 inference(unit_resolution,[status(thm)],[39321, 447])).
% 18.04/13.17 tff(39323,plain,
% 18.04/13.17 (((~v130(constB41)) | (~v139(constB41))) | v139(constB41)),
% 18.04/13.17 inference(tautology,[status(thm)],[])).
% 18.04/13.17 tff(39324,plain,
% 18.04/13.17 ((~v130(constB41)) | (~v139(constB41))),
% 18.04/13.17 inference(unit_resolution,[status(thm)],[39323, 30535])).
% 18.04/13.17 tff(39325,plain,
% 18.04/13.17 ((~(v153(constB41) <=> (~((~v130(constB41)) | (~v139(constB41)))))) | (~v153(constB41)) | (~((~v130(constB41)) | (~v139(constB41))))),
% 18.04/13.17 inference(tautology,[status(thm)],[])).
% 18.04/13.17 tff(39326,plain,
% 18.04/13.17 (~v153(constB41)),
% 18.04/13.17 inference(unit_resolution,[status(thm)],[39325, 39324, 39322])).
% 18.04/13.17 tff(39327,plain,
% 18.04/13.17 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB41) <=> (~((~v132(constB41)) | (~v155(constB41)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB41) <=> (~((~v132(constB41)) | (~v155(constB41))))))),
% 18.04/13.17 inference(rewrite,[status(thm)],[])).
% 18.04/13.17 tff(39328,plain,
% 18.04/13.17 ((v154(constB41) <=> (~((~v155(constB41)) | (~v132(constB41))))) <=> (v154(constB41) <=> (~((~v132(constB41)) | (~v155(constB41)))))),
% 18.04/13.17 inference(rewrite,[status(thm)],[])).
% 18.04/13.17 tff(39329,plain,
% 18.04/13.17 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB41) <=> (~((~v155(constB41)) | (~v132(constB41)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB41) <=> (~((~v132(constB41)) | (~v155(constB41))))))),
% 18.04/13.17 inference(monotonicity,[status(thm)],[39328])).
% 18.04/13.17 tff(39330,plain,
% 18.04/13.17 (((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB41) <=> (~((~v155(constB41)) | (~v132(constB41)))))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB41) <=> (~((~v132(constB41)) | (~v155(constB41))))))),
% 18.04/13.17 inference(transitivity,[status(thm)],[39329, 39327])).
% 18.04/13.17 tff(39331,plain,
% 18.04/13.17 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB41) <=> (~((~v155(constB41)) | (~v132(constB41)))))),
% 18.04/13.17 inference(quant_inst,[status(thm)],[])).
% 18.04/13.17 tff(39332,plain,
% 18.04/13.17 ((~![VarCurr: state_type] : (v154(VarCurr) <=> (~((~v155(VarCurr)) | (~v132(VarCurr)))))) | (v154(constB41) <=> (~((~v132(constB41)) | (~v155(constB41)))))),
% 18.04/13.17 inference(modus_ponens,[status(thm)],[39331, 39330])).
% 18.04/13.17 tff(39333,plain,
% 18.04/13.17 (v154(constB41) <=> (~((~v132(constB41)) | (~v155(constB41))))),
% 18.04/13.17 inference(unit_resolution,[status(thm)],[39332, 399])).
% 18.04/13.17 tff(39334,plain,
% 18.04/13.17 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB41) <=> v137(constB41))),
% 18.04/13.17 inference(quant_inst,[status(thm)],[])).
% 18.04/13.17 tff(39335,plain,
% 18.04/13.17 (v132(constB41) <=> v137(constB41)),
% 18.04/13.17 inference(unit_resolution,[status(thm)],[39334, 558])).
% 18.04/13.17 tff(39336,plain,
% 18.04/13.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB40, constB41)) | (v137(constB41) <=> v135(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB40, constB41)) | (v137(constB41) <=> v135(constB40)))),
% 18.04/13.18 inference(rewrite,[status(thm)],[])).
% 18.04/13.18 tff(39337,plain,
% 18.04/13.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB40, constB41)) | (v137(constB41) <=> v135(constB40)))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39338,plain,
% 18.04/13.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB40, constB41)) | (v137(constB41) <=> v135(constB40))),
% 18.04/13.18 inference(modus_ponens,[status(thm)],[39337, 39336])).
% 18.04/13.18 tff(39339,plain,
% 18.04/13.18 (v137(constB41) <=> v135(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39338, 916, 570])).
% 18.04/13.18 tff(39340,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB40) <=> (v138(constB40) | v142(constB40)))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39341,plain,
% 18.04/13.18 (v135(constB40) <=> (v138(constB40) | v142(constB40))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39340, 584])).
% 18.04/13.18 tff(39342,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB40) <=> (~((~v143(constB40)) | (~v144(constB40)))))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39343,plain,
% 18.04/13.18 (v142(constB40) <=> (~((~v143(constB40)) | (~v144(constB40))))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39342, 596])).
% 18.04/13.18 tff(39344,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB40) <=> (~((~v141(constB40)) | (~v145(constB40)))))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39345,plain,
% 18.04/13.18 (v144(constB40) <=> (~((~v141(constB40)) | (~v145(constB40))))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39344, 608])).
% 18.04/13.18 tff(39346,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB40) <=> (~((~v39(constB40)) | (~v9(constB40)))))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39347,plain,
% 18.04/13.18 (v141(constB40) <=> (~((~v39(constB40)) | (~v9(constB40))))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39346, 130])).
% 18.04/13.18 tff(39348,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB40)) <=> v1(constB40))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39349,plain,
% 18.04/13.18 ((~v39(constB40)) <=> v1(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39348, 139])).
% 18.04/13.18 tff(39350,plain,
% 18.04/13.18 ((~((~v39(constB40)) <=> v1(constB40))) | (~v39(constB40)) | (~v1(constB40))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39351,plain,
% 18.04/13.18 ((~((~v39(constB40)) <=> v1(constB40))) | (~v39(constB40))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39350, 5577])).
% 18.04/13.18 tff(39352,plain,
% 18.04/13.18 (~v39(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39351, 39349])).
% 18.04/13.18 tff(39353,plain,
% 18.04/13.18 (((~v39(constB40)) | (~v9(constB40))) | v39(constB40)),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39354,plain,
% 18.04/13.18 ((~v39(constB40)) | (~v9(constB40))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39353, 39352])).
% 18.04/13.18 tff(39355,plain,
% 18.04/13.18 ((~(v141(constB40) <=> (~((~v39(constB40)) | (~v9(constB40)))))) | (~v141(constB40)) | (~((~v39(constB40)) | (~v9(constB40))))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39356,plain,
% 18.04/13.18 ((~(v141(constB40) <=> (~((~v39(constB40)) | (~v9(constB40)))))) | (~v141(constB40))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39355, 39354])).
% 18.04/13.18 tff(39357,plain,
% 18.04/13.18 (~v141(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39356, 39347])).
% 18.04/13.18 tff(39358,plain,
% 18.04/13.18 (((~v141(constB40)) | (~v145(constB40))) | v141(constB40)),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39359,plain,
% 18.04/13.18 ((~v141(constB40)) | (~v145(constB40))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39358, 39357])).
% 18.04/13.18 tff(39360,plain,
% 18.04/13.18 ((~(v144(constB40) <=> (~((~v141(constB40)) | (~v145(constB40)))))) | (~v144(constB40)) | (~((~v141(constB40)) | (~v145(constB40))))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39361,plain,
% 18.04/13.18 ((~(v144(constB40) <=> (~((~v141(constB40)) | (~v145(constB40)))))) | (~v144(constB40))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39360, 39359])).
% 18.04/13.18 tff(39362,plain,
% 18.04/13.18 (~v144(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39361, 39345])).
% 18.04/13.18 tff(39363,plain,
% 18.04/13.18 (((~v143(constB40)) | (~v144(constB40))) | v144(constB40)),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39364,plain,
% 18.04/13.18 ((~v143(constB40)) | (~v144(constB40))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39363, 39362])).
% 18.04/13.18 tff(39365,plain,
% 18.04/13.18 ((~(v142(constB40) <=> (~((~v143(constB40)) | (~v144(constB40)))))) | (~v142(constB40)) | (~((~v143(constB40)) | (~v144(constB40))))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39366,plain,
% 18.04/13.18 (~v142(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39365, 39364, 39343])).
% 18.04/13.18 tff(39367,plain,
% 18.04/13.18 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB40) <=> (~((~v132(constB40)) | (~v139(constB40)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB40) <=> (~((~v132(constB40)) | (~v139(constB40))))))),
% 18.04/13.18 inference(rewrite,[status(thm)],[])).
% 18.04/13.18 tff(39368,plain,
% 18.04/13.18 ((v138(constB40) <=> (~((~v139(constB40)) | (~v132(constB40))))) <=> (v138(constB40) <=> (~((~v132(constB40)) | (~v139(constB40)))))),
% 18.04/13.18 inference(rewrite,[status(thm)],[])).
% 18.04/13.18 tff(39369,plain,
% 18.04/13.18 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB40) <=> (~((~v139(constB40)) | (~v132(constB40)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB40) <=> (~((~v132(constB40)) | (~v139(constB40))))))),
% 18.04/13.18 inference(monotonicity,[status(thm)],[39368])).
% 18.04/13.18 tff(39370,plain,
% 18.04/13.18 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB40) <=> (~((~v139(constB40)) | (~v132(constB40)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB40) <=> (~((~v132(constB40)) | (~v139(constB40))))))),
% 18.04/13.18 inference(transitivity,[status(thm)],[39369, 39367])).
% 18.04/13.18 tff(39371,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB40) <=> (~((~v139(constB40)) | (~v132(constB40)))))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39372,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB40) <=> (~((~v132(constB40)) | (~v139(constB40)))))),
% 18.04/13.18 inference(modus_ponens,[status(thm)],[39371, 39370])).
% 18.04/13.18 tff(39373,plain,
% 18.04/13.18 (v138(constB40) <=> (~((~v132(constB40)) | (~v139(constB40))))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39372, 644])).
% 18.04/13.18 tff(39374,plain,
% 18.04/13.18 ((~![VarNext: state_type] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB40) <=> v137(constB40))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39375,plain,
% 18.04/13.18 (v132(constB40) <=> v137(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39374, 558])).
% 18.04/13.18 tff(39376,plain,
% 18.04/13.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB39, constB40)) | (v137(constB40) <=> v135(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB39, constB40)) | (v137(constB40) <=> v135(constB39)))),
% 18.04/13.18 inference(rewrite,[status(thm)],[])).
% 18.04/13.18 tff(39377,plain,
% 18.04/13.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB39, constB40)) | (v137(constB40) <=> v135(constB39)))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39378,plain,
% 18.04/13.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB39, constB40)) | (v137(constB40) <=> v135(constB39))),
% 18.04/13.18 inference(modus_ponens,[status(thm)],[39377, 39376])).
% 18.04/13.18 tff(39379,plain,
% 18.04/13.18 (v137(constB40) <=> v135(constB39)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39378, 952, 570])).
% 18.04/13.18 tff(39380,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB39) <=> (v138(constB39) | v142(constB39)))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39381,plain,
% 18.04/13.18 (v135(constB39) <=> (v138(constB39) | v142(constB39))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39380, 584])).
% 18.04/13.18 tff(39382,plain,
% 18.04/13.18 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB39) <=> (~((~v132(constB39)) | (~v139(constB39)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB39) <=> (~((~v132(constB39)) | (~v139(constB39))))))),
% 18.04/13.18 inference(rewrite,[status(thm)],[])).
% 18.04/13.18 tff(39383,plain,
% 18.04/13.18 ((v138(constB39) <=> (~((~v139(constB39)) | (~v132(constB39))))) <=> (v138(constB39) <=> (~((~v132(constB39)) | (~v139(constB39)))))),
% 18.04/13.18 inference(rewrite,[status(thm)],[])).
% 18.04/13.18 tff(39384,plain,
% 18.04/13.18 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB39) <=> (~((~v139(constB39)) | (~v132(constB39)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB39) <=> (~((~v132(constB39)) | (~v139(constB39))))))),
% 18.04/13.18 inference(monotonicity,[status(thm)],[39383])).
% 18.04/13.18 tff(39385,plain,
% 18.04/13.18 (((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB39) <=> (~((~v139(constB39)) | (~v132(constB39)))))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB39) <=> (~((~v132(constB39)) | (~v139(constB39))))))),
% 18.04/13.18 inference(transitivity,[status(thm)],[39384, 39382])).
% 18.04/13.18 tff(39386,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB39) <=> (~((~v139(constB39)) | (~v132(constB39)))))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39387,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB39) <=> (~((~v132(constB39)) | (~v139(constB39)))))),
% 18.04/13.18 inference(modus_ponens,[status(thm)],[39386, 39385])).
% 18.04/13.18 tff(39388,plain,
% 18.04/13.18 (v138(constB39) <=> (~((~v132(constB39)) | (~v139(constB39))))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39387, 644])).
% 18.04/13.18 tff(39389,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB39)) <=> v140(constB39))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39390,plain,
% 18.04/13.18 ((~v139(constB39)) <=> v140(constB39)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39389, 203])).
% 18.04/13.18 tff(39391,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB39) <=> (v141(constB39) | v26(constB39)))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39392,plain,
% 18.04/13.18 (v140(constB39) <=> (v141(constB39) | v26(constB39))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39391, 212])).
% 18.04/13.18 tff(39393,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB39) <=> (~((~v39(constB39)) | (~v9(constB39)))))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39394,plain,
% 18.04/13.18 (v141(constB39) <=> (~((~v39(constB39)) | (~v9(constB39))))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39393, 130])).
% 18.04/13.18 tff(39395,plain,
% 18.04/13.18 (((~![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)))),
% 18.04/13.18 inference(rewrite,[status(thm)],[])).
% 18.04/13.18 tff(39396,plain,
% 18.04/13.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB39, constB40)) | (v13(constB40) <=> v9(constB39)))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39397,plain,
% 18.04/13.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB39, constB40)) | (v13(constB40) <=> v9(constB39))),
% 18.04/13.18 inference(modus_ponens,[status(thm)],[39396, 39395])).
% 18.04/13.18 tff(39398,plain,
% 18.04/13.18 (v13(constB40) <=> v9(constB39)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39397, 952, 226])).
% 18.04/13.18 tff(39399,plain,
% 18.04/13.18 ((~![VarNext: state_type] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB40) <=> v13(constB40))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39400,plain,
% 18.04/13.18 (v6(constB40) <=> v13(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39399, 240])).
% 18.04/13.18 tff(39401,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB40)) <=> v6(constB40))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39402,plain,
% 18.04/13.18 ((~v21(constB40)) <=> v6(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39401, 249])).
% 18.04/13.18 tff(39403,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB40) <=> (v20(constB40) | v21(constB40)))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39404,plain,
% 18.04/13.18 (v19(constB40) <=> (v20(constB40) | v21(constB40))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39403, 258])).
% 18.04/13.18 tff(39405,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB40) <=> (~((~v19(constB40)) | (~v22(constB40)))))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39406,plain,
% 18.04/13.18 (v18(constB40) <=> (~((~v19(constB40)) | (~v22(constB40))))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39405, 270])).
% 18.04/13.18 tff(39407,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB40)) <=> v18(constB40))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39408,plain,
% 18.04/13.18 ((~v4(constB40)) <=> v18(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39407, 279])).
% 18.04/13.18 tff(39409,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : v4(VarCurr)) | v4(constB40)),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39410,plain,
% 18.04/13.18 (v4(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39409, 288])).
% 18.04/13.18 tff(39411,plain,
% 18.04/13.18 ((~((~v4(constB40)) <=> v18(constB40))) | (~v4(constB40)) | (~v18(constB40))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39412,plain,
% 18.04/13.18 (~v18(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39411, 39410, 39408])).
% 18.04/13.18 tff(39413,plain,
% 18.04/13.18 ((~(v18(constB40) <=> (~((~v19(constB40)) | (~v22(constB40)))))) | v18(constB40) | ((~v19(constB40)) | (~v22(constB40)))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39414,plain,
% 18.04/13.18 ((~v19(constB40)) | (~v22(constB40))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39413, 39412, 39406])).
% 18.04/13.18 tff(39415,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB40) <=> (v1(constB40) | v6(constB40)))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39416,plain,
% 18.04/13.18 (v22(constB40) <=> (v1(constB40) | v6(constB40))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39415, 301])).
% 18.04/13.18 tff(39417,plain,
% 18.04/13.18 ((v1(constB40) | v6(constB40)) | (~v1(constB40))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39418,plain,
% 18.04/13.18 (v1(constB40) | v6(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39417, 5577])).
% 18.04/13.18 tff(39419,plain,
% 18.04/13.18 ((~(v22(constB40) <=> (v1(constB40) | v6(constB40)))) | v22(constB40) | (~(v1(constB40) | v6(constB40)))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39420,plain,
% 18.04/13.18 ((~(v22(constB40) <=> (v1(constB40) | v6(constB40)))) | v22(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39419, 39418])).
% 18.04/13.18 tff(39421,plain,
% 18.04/13.18 (v22(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39420, 39416])).
% 18.04/13.18 tff(39422,plain,
% 18.04/13.18 ((~((~v19(constB40)) | (~v22(constB40)))) | (~v19(constB40)) | (~v22(constB40))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39423,plain,
% 18.04/13.18 ((~((~v19(constB40)) | (~v22(constB40)))) | (~v19(constB40))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39422, 39421])).
% 18.04/13.18 tff(39424,plain,
% 18.04/13.18 (~v19(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39423, 39414])).
% 18.04/13.18 tff(39425,plain,
% 18.04/13.18 ((~(v19(constB40) <=> (v20(constB40) | v21(constB40)))) | v19(constB40) | (~(v20(constB40) | v21(constB40)))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39426,plain,
% 18.04/13.18 (~(v20(constB40) | v21(constB40))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39425, 39424, 39404])).
% 18.04/13.18 tff(39427,plain,
% 18.04/13.18 ((v20(constB40) | v21(constB40)) | (~v21(constB40))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39428,plain,
% 18.04/13.18 (~v21(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39427, 39426])).
% 18.04/13.18 tff(39429,plain,
% 18.04/13.18 ((~((~v21(constB40)) <=> v6(constB40))) | v21(constB40) | v6(constB40)),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39430,plain,
% 18.04/13.18 (v6(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39429, 39428, 39402])).
% 18.04/13.18 tff(39431,plain,
% 18.04/13.18 ((~(v6(constB40) <=> v13(constB40))) | (~v6(constB40)) | v13(constB40)),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39432,plain,
% 18.04/13.18 (v13(constB40)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39431, 39430, 39400])).
% 18.04/13.18 tff(39433,plain,
% 18.04/13.18 ((~(v13(constB40) <=> v9(constB39))) | (~v13(constB40)) | v9(constB39)),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39434,plain,
% 18.04/13.18 (v9(constB39)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39433, 39432, 39398])).
% 18.04/13.18 tff(39435,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB39)) <=> v1(constB39))),
% 18.04/13.18 inference(quant_inst,[status(thm)],[])).
% 18.04/13.18 tff(39436,plain,
% 18.04/13.18 ((~v39(constB39)) <=> v1(constB39)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39435, 139])).
% 18.04/13.18 tff(39437,plain,
% 18.04/13.18 ((~((~v39(constB39)) <=> v1(constB39))) | v39(constB39) | v1(constB39)),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39438,plain,
% 18.04/13.18 ((~((~v39(constB39)) <=> v1(constB39))) | v39(constB39)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39437, 1009])).
% 18.04/13.18 tff(39439,plain,
% 18.04/13.18 (v39(constB39)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39438, 39436])).
% 18.04/13.18 tff(39440,plain,
% 18.04/13.18 ((~((~v39(constB39)) | (~v9(constB39)))) | (~v39(constB39)) | (~v9(constB39))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39441,plain,
% 18.04/13.18 ((~((~v39(constB39)) | (~v9(constB39)))) | (~v9(constB39))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39440, 39439])).
% 18.04/13.18 tff(39442,plain,
% 18.04/13.18 (~((~v39(constB39)) | (~v9(constB39)))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39441, 39434])).
% 18.04/13.18 tff(39443,plain,
% 18.04/13.18 ((~(v141(constB39) <=> (~((~v39(constB39)) | (~v9(constB39)))))) | v141(constB39) | ((~v39(constB39)) | (~v9(constB39)))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39444,plain,
% 18.04/13.18 (v141(constB39)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39443, 39442, 39394])).
% 18.04/13.18 tff(39445,plain,
% 18.04/13.18 ((v141(constB39) | v26(constB39)) | (~v141(constB39))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39446,plain,
% 18.04/13.18 (v141(constB39) | v26(constB39)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39445, 39444])).
% 18.04/13.18 tff(39447,plain,
% 18.04/13.18 ((~(v140(constB39) <=> (v141(constB39) | v26(constB39)))) | v140(constB39) | (~(v141(constB39) | v26(constB39)))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39448,plain,
% 18.04/13.18 (v140(constB39)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39447, 39446, 39392])).
% 18.04/13.18 tff(39449,plain,
% 18.04/13.18 ((~((~v139(constB39)) <=> v140(constB39))) | (~v139(constB39)) | (~v140(constB39))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39450,plain,
% 18.04/13.18 (~v139(constB39)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39449, 39448, 39390])).
% 18.04/13.18 tff(39451,plain,
% 18.04/13.18 (((~v132(constB39)) | (~v139(constB39))) | v139(constB39)),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39452,plain,
% 18.04/13.18 ((~v132(constB39)) | (~v139(constB39))),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39451, 39450])).
% 18.04/13.18 tff(39453,plain,
% 18.04/13.18 ((~(v138(constB39) <=> (~((~v132(constB39)) | (~v139(constB39)))))) | (~v138(constB39)) | (~((~v132(constB39)) | (~v139(constB39))))),
% 18.04/13.18 inference(tautology,[status(thm)],[])).
% 18.04/13.18 tff(39454,plain,
% 18.04/13.18 (~v138(constB39)),
% 18.04/13.18 inference(unit_resolution,[status(thm)],[39453, 39452, 39388])).
% 18.04/13.18 tff(39455,plain,
% 18.04/13.18 ((~![VarCurr: state_type] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB39) <=> (~((~v143(constB39)) | (~v144(constB39)))))),
% 18.04/13.19 inference(quant_inst,[status(thm)],[])).
% 18.04/13.19 tff(39456,plain,
% 18.04/13.19 (v142(constB39) <=> (~((~v143(constB39)) | (~v144(constB39))))),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39455, 596])).
% 18.04/13.19 tff(39457,plain,
% 18.04/13.19 ((~![VarCurr: state_type] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB39) <=> (~((~v141(constB39)) | (~v145(constB39)))))),
% 18.04/13.19 inference(quant_inst,[status(thm)],[])).
% 18.04/13.19 tff(39458,plain,
% 18.04/13.19 (v144(constB39) <=> (~((~v141(constB39)) | (~v145(constB39))))),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39457, 608])).
% 18.04/13.19 tff(39459,plain,
% 18.04/13.19 ((~![VarCurr: state_type] : (v145(VarCurr) <=> (~(v84(VarCurr, 1) | v84(VarCurr, 2) | (~v84(VarCurr, 0)))))) | (v145(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0)))))),
% 18.04/13.19 inference(quant_inst,[status(thm)],[])).
% 18.04/13.19 tff(39460,plain,
% 18.04/13.19 (v145(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0))))),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39459, 755])).
% 18.04/13.19 tff(39461,plain,
% 18.04/13.19 ((v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0))) | v84(constB39, 0)),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39462,plain,
% 18.04/13.19 (v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0))),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39461, 5514])).
% 18.04/13.19 tff(39463,plain,
% 18.04/13.19 ((~(v145(constB39) <=> (~(v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0)))))) | (~v145(constB39)) | (~(v84(constB39, 1) | v84(constB39, 2) | (~v84(constB39, 0))))),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39464,plain,
% 18.04/13.19 (~v145(constB39)),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39463, 39462, 39460])).
% 18.04/13.19 tff(39465,plain,
% 18.04/13.19 (((~v141(constB39)) | (~v145(constB39))) | v145(constB39)),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39466,plain,
% 18.04/13.19 ((~v141(constB39)) | (~v145(constB39))),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39465, 39464])).
% 18.04/13.19 tff(39467,plain,
% 18.04/13.19 ((~(v144(constB39) <=> (~((~v141(constB39)) | (~v145(constB39)))))) | (~v144(constB39)) | (~((~v141(constB39)) | (~v145(constB39))))),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39468,plain,
% 18.04/13.19 (~v144(constB39)),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39467, 39466, 39458])).
% 18.04/13.19 tff(39469,plain,
% 18.04/13.19 (((~v143(constB39)) | (~v144(constB39))) | v144(constB39)),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39470,plain,
% 18.04/13.19 ((~v143(constB39)) | (~v144(constB39))),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39469, 39468])).
% 18.04/13.19 tff(39471,plain,
% 18.04/13.19 ((~(v142(constB39) <=> (~((~v143(constB39)) | (~v144(constB39)))))) | (~v142(constB39)) | (~((~v143(constB39)) | (~v144(constB39))))),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39472,plain,
% 18.04/13.19 (~v142(constB39)),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39471, 39470, 39456])).
% 18.04/13.19 tff(39473,plain,
% 18.04/13.19 ((~(v138(constB39) | v142(constB39))) | v138(constB39) | v142(constB39)),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39474,plain,
% 18.04/13.19 (~(v138(constB39) | v142(constB39))),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39473, 39472, 39454])).
% 18.04/13.19 tff(39475,plain,
% 18.04/13.19 ((~(v135(constB39) <=> (v138(constB39) | v142(constB39)))) | (~v135(constB39)) | (v138(constB39) | v142(constB39))),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39476,plain,
% 18.04/13.19 (~v135(constB39)),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39475, 39474, 39381])).
% 18.04/13.19 tff(39477,plain,
% 18.04/13.19 ((~(v137(constB40) <=> v135(constB39))) | (~v137(constB40)) | v135(constB39)),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39478,plain,
% 18.04/13.19 (~v137(constB40)),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39477, 39476, 39379])).
% 18.04/13.19 tff(39479,plain,
% 18.04/13.19 ((~(v132(constB40) <=> v137(constB40))) | (~v132(constB40)) | v137(constB40)),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39480,plain,
% 18.04/13.19 (~v132(constB40)),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39479, 39478, 39375])).
% 18.04/13.19 tff(39481,plain,
% 18.04/13.19 (((~v132(constB40)) | (~v139(constB40))) | v132(constB40)),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39482,plain,
% 18.04/13.19 ((~v132(constB40)) | (~v139(constB40))),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39481, 39480])).
% 18.04/13.19 tff(39483,plain,
% 18.04/13.19 ((~(v138(constB40) <=> (~((~v132(constB40)) | (~v139(constB40)))))) | (~v138(constB40)) | (~((~v132(constB40)) | (~v139(constB40))))),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39484,plain,
% 18.04/13.19 (~v138(constB40)),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39483, 39482, 39373])).
% 18.04/13.19 tff(39485,plain,
% 18.04/13.19 ((~(v138(constB40) | v142(constB40))) | v138(constB40) | v142(constB40)),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39486,plain,
% 18.04/13.19 (~(v138(constB40) | v142(constB40))),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39485, 39484, 39366])).
% 18.04/13.19 tff(39487,plain,
% 18.04/13.19 ((~(v135(constB40) <=> (v138(constB40) | v142(constB40)))) | (~v135(constB40)) | (v138(constB40) | v142(constB40))),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39488,plain,
% 18.04/13.19 (~v135(constB40)),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39487, 39486, 39341])).
% 18.04/13.19 tff(39489,plain,
% 18.04/13.19 ((~(v137(constB41) <=> v135(constB40))) | (~v137(constB41)) | v135(constB40)),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39490,plain,
% 18.04/13.19 (~v137(constB41)),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39489, 39488, 39339])).
% 18.04/13.19 tff(39491,plain,
% 18.04/13.19 ((~(v132(constB41) <=> v137(constB41))) | (~v132(constB41)) | v137(constB41)),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39492,plain,
% 18.04/13.19 (~v132(constB41)),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39491, 39490, 39335])).
% 18.04/13.19 tff(39493,plain,
% 18.04/13.19 (((~v132(constB41)) | (~v155(constB41))) | v132(constB41)),
% 18.04/13.19 inference(tautology,[status(thm)],[])).
% 18.04/13.19 tff(39494,plain,
% 18.04/13.19 ((~v132(constB41)) | (~v155(constB41))),
% 18.04/13.19 inference(unit_resolution,[status(thm)],[39493, 39492])).
% 18.04/13.19 tff(39495,plain,
% 18.04/13.19 ((~(v154(constB41) <